the corkscrewing fueling happens.
sent1: that the coaching Lancaster occurs or the futureness or both prevents that the cannulation happens. sent2: the rectorship does not occur. sent3: the numerateness occurs and the smelling serine happens. sent4: if the ending but not the rectorship happens then that the matutinalness does not occur is true. sent5: the ending occurs if the cannulation does not occur. sent6: the cannulation does not occur if the future occurs. sent7: the coaching forestry does not occur. sent8: the coaching Lancaster happens if the numerateness occurs. sent9: if the matutinalness does not occur the corkscrewing fueling happens.
sent3 -> int1: the numerateness happens.; int1 & sent8 -> int2: the coaching Lancaster happens.; int2 -> int3: either the coaching Lancaster happens or the future occurs or both.; int3 & sent1 -> int4: the cannulation does not occur.; int4 & sent5 -> int5: the ending happens.; int5 & sent2 -> int6: the ending occurs but the rectorship does not occur.; int6 & sent4 -> int7: the matutinalness does not occur.; int7 & sent9 -> hypothesis;
$hypothesis$ = the corkscrewing fueling happens. ; $context$ = sent1: that the coaching Lancaster occurs or the futureness or both prevents that the cannulation happens. sent2: the rectorship does not occur. sent3: the numerateness occurs and the smelling serine happens. sent4: if the ending but not the rectorship happens then that the matutinalness does not occur is true. sent5: the ending occurs if the cannulation does not occur. sent6: the cannulation does not occur if the future occurs. sent7: the coaching forestry does not occur. sent8: the coaching Lancaster happens if the numerateness occurs. sent9: if the matutinalness does not occur the corkscrewing fueling happens. ; $proof$ = 
sent3 -> int1: the numerateness happens.; int1 & sent8 -> int2: the coaching Lancaster happens.; int2 -> int3: either the coaching Lancaster happens or the future occurs or both.; int3 & sent1 -> int4: the cannulation does not occur.; int4 & sent5 -> int5: the ending happens.; int5 & sent2 -> int6: the ending occurs but the rectorship does not occur.; int6 & sent4 -> int7: the matutinalness does not occur.; int7 & sent9 -> hypothesis; __PROVED__