TSTP Solution File: GRP473-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP473-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:22:41 EDT 2024
% Result : Unsatisfiable 23.99s 3.66s
% Output : CNFRefutation 23.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_65,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_66,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_67,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_68,negated_conjecture,
sP2_iProver_def != a2,
inference(demodulation,[status(thm)],[c_51,c_65,c_66,c_67]) ).
cnf(c_114,plain,
divide(X0,sP0_iProver_def) = multiply(X0,b2),
inference(superposition,[status(thm)],[c_65,c_50]) ).
cnf(c_115,plain,
divide(sP0_iProver_def,sP0_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_66,c_114]) ).
cnf(c_118,plain,
divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = inverse(X1),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_123,plain,
divide(divide(inverse(divide(X0,X1)),divide(multiply(X2,X3),X0)),divide(inverse(X3),X2)) = X1,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_126,plain,
divide(divide(inverse(divide(X0,X1)),divide(divide(inverse(X2),X3),X0)),multiply(X3,X2)) = X1,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_127,plain,
divide(divide(inverse(divide(X0,X1)),divide(sP1_iProver_def,X0)),sP1_iProver_def) = X1,
inference(superposition,[status(thm)],[c_115,c_49]) ).
cnf(c_128,plain,
divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(divide(X4,X5),X3)))),divide(X2,X1)) = divide(X5,X4),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_142,plain,
divide(divide(inverse(sP2_iProver_def),divide(divide(X0,X1),sP1_iProver_def)),divide(X1,X0)) = inverse(a2),
inference(superposition,[status(thm)],[c_67,c_118]) ).
cnf(c_153,plain,
divide(divide(inverse(multiply(X0,X1)),divide(sP1_iProver_def,X0)),sP1_iProver_def) = inverse(X1),
inference(superposition,[status(thm)],[c_115,c_118]) ).
cnf(c_201,plain,
divide(divide(inverse(sP1_iProver_def),divide(sP1_iProver_def,sP0_iProver_def)),sP1_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_115,c_127]) ).
cnf(c_204,plain,
divide(divide(inverse(divide(inverse(X0),X1)),multiply(sP1_iProver_def,X0)),sP1_iProver_def) = X1,
inference(superposition,[status(thm)],[c_50,c_127]) ).
cnf(c_206,plain,
divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(sP1_iProver_def,X3)))),divide(X2,X1)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_127,c_49]) ).
cnf(c_257,plain,
divide(divide(inverse(divide(inverse(a2),X0)),sP2_iProver_def),sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_67,c_204]) ).
cnf(c_297,plain,
divide(divide(inverse(X0),divide(sP1_iProver_def,divide(inverse(divide(inverse(a2),X0)),sP2_iProver_def))),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_257,c_127]) ).
cnf(c_404,plain,
divide(divide(inverse(sP2_iProver_def),divide(sP1_iProver_def,sP1_iProver_def)),sP1_iProver_def) = inverse(a2),
inference(superposition,[status(thm)],[c_67,c_153]) ).
cnf(c_438,plain,
divide(divide(inverse(inverse(a2)),divide(sP1_iProver_def,divide(inverse(sP2_iProver_def),divide(sP1_iProver_def,sP1_iProver_def)))),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_404,c_127]) ).
cnf(c_663,plain,
divide(divide(inverse(sP2_iProver_def),X0),divide(divide(sP1_iProver_def,X1),inverse(divide(X1,X0)))) = inverse(a2),
inference(superposition,[status(thm)],[c_127,c_142]) ).
cnf(c_668,plain,
divide(divide(inverse(sP2_iProver_def),X0),divide(sP2_iProver_def,inverse(divide(inverse(a2),X0)))) = inverse(a2),
inference(superposition,[status(thm)],[c_257,c_142]) ).
cnf(c_686,plain,
divide(divide(inverse(sP2_iProver_def),divide(divide(inverse(X0),X1),sP1_iProver_def)),multiply(X1,X0)) = inverse(a2),
inference(superposition,[status(thm)],[c_50,c_142]) ).
cnf(c_1720,plain,
divide(divide(inverse(sP2_iProver_def),X0),multiply(sP2_iProver_def,divide(inverse(a2),X0))) = inverse(a2),
inference(demodulation,[status(thm)],[c_668,c_50]) ).
cnf(c_1725,plain,
divide(divide(inverse(inverse(a2)),divide(sP1_iProver_def,divide(inverse(sP2_iProver_def),X0))),sP1_iProver_def) = multiply(sP2_iProver_def,divide(inverse(a2),X0)),
inference(superposition,[status(thm)],[c_1720,c_127]) ).
cnf(c_1965,plain,
divide(divide(sP0_iProver_def,divide(sP1_iProver_def,divide(inverse(divide(inverse(a2),b2)),sP2_iProver_def))),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_65,c_297]) ).
cnf(c_2201,plain,
multiply(sP2_iProver_def,divide(inverse(a2),divide(sP1_iProver_def,sP1_iProver_def))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_438,c_1725]) ).
cnf(c_2283,plain,
divide(divide(inverse(divide(X0,X1)),divide(sP2_iProver_def,X0)),divide(inverse(a2),sP1_iProver_def)) = X1,
inference(superposition,[status(thm)],[c_67,c_123]) ).
cnf(c_2543,plain,
divide(divide(inverse(multiply(X0,X1)),divide(sP2_iProver_def,X0)),divide(inverse(a2),sP1_iProver_def)) = inverse(X1),
inference(superposition,[status(thm)],[c_50,c_2283]) ).
cnf(c_2574,plain,
divide(divide(inverse(divide(inverse(X0),X1)),multiply(sP2_iProver_def,X0)),divide(inverse(a2),sP1_iProver_def)) = X1,
inference(superposition,[status(thm)],[c_50,c_2283]) ).
cnf(c_3133,plain,
divide(divide(inverse(sP2_iProver_def),X0),multiply(divide(sP1_iProver_def,X1),divide(X1,X0))) = inverse(a2),
inference(demodulation,[status(thm)],[c_663,c_50]) ).
cnf(c_3177,plain,
divide(divide(inverse(inverse(a2)),divide(sP1_iProver_def,divide(inverse(sP2_iProver_def),X0))),sP1_iProver_def) = multiply(divide(sP1_iProver_def,X1),divide(X1,X0)),
inference(superposition,[status(thm)],[c_3133,c_127]) ).
cnf(c_3190,plain,
multiply(divide(sP1_iProver_def,X0),divide(X0,X1)) = multiply(sP2_iProver_def,divide(inverse(a2),X1)),
inference(light_normalisation,[status(thm)],[c_3177,c_1725]) ).
cnf(c_3413,plain,
multiply(multiply(sP1_iProver_def,X0),divide(inverse(X0),X1)) = multiply(sP2_iProver_def,divide(inverse(a2),X1)),
inference(superposition,[status(thm)],[c_50,c_3190]) ).
cnf(c_3914,plain,
divide(divide(inverse(divide(X0,X1)),divide(divide(inverse(a2),sP1_iProver_def),X0)),sP2_iProver_def) = X1,
inference(superposition,[status(thm)],[c_67,c_126]) ).
cnf(c_5402,plain,
divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(X4,X3)))),divide(X2,X1)) = divide(sP1_iProver_def,divide(inverse(divide(inverse(a2),X4)),sP2_iProver_def)),
inference(superposition,[status(thm)],[c_257,c_128]) ).
cnf(c_5421,plain,
divide(divide(inverse(X0),divide(divide(X1,X2),divide(inverse(divide(X3,X0)),divide(sP1_iProver_def,X3)))),divide(X2,X1)) = divide(sP1_iProver_def,divide(sP0_iProver_def,divide(sP1_iProver_def,divide(inverse(divide(inverse(a2),b2)),sP2_iProver_def)))),
inference(superposition,[status(thm)],[c_1965,c_128]) ).
cnf(c_5507,plain,
divide(sP1_iProver_def,divide(sP0_iProver_def,divide(sP1_iProver_def,divide(inverse(divide(inverse(a2),b2)),sP2_iProver_def)))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_5421,c_206]) ).
cnf(c_5512,plain,
divide(sP1_iProver_def,divide(inverse(divide(inverse(a2),divide(X0,X1))),sP2_iProver_def)) = divide(X1,X0),
inference(demodulation,[status(thm)],[c_128,c_5402]) ).
cnf(c_6829,plain,
divide(sP0_iProver_def,divide(sP1_iProver_def,divide(inverse(divide(inverse(a2),b2)),sP2_iProver_def))) = divide(divide(inverse(sP1_iProver_def),divide(sP1_iProver_def,sP1_iProver_def)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_5507,c_127]) ).
cnf(c_6857,plain,
divide(sP1_iProver_def,divide(divide(inverse(sP1_iProver_def),divide(sP1_iProver_def,sP1_iProver_def)),sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_5507,c_6829]) ).
cnf(c_6858,plain,
divide(divide(divide(inverse(sP1_iProver_def),divide(sP1_iProver_def,sP1_iProver_def)),sP1_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1965,c_6829]) ).
cnf(c_6975,plain,
multiply(divide(sP1_iProver_def,divide(divide(inverse(sP1_iProver_def),divide(sP1_iProver_def,sP1_iProver_def)),sP1_iProver_def)),sP1_iProver_def) = multiply(sP2_iProver_def,divide(inverse(a2),sP1_iProver_def)),
inference(superposition,[status(thm)],[c_6858,c_3190]) ).
cnf(c_6980,plain,
divide(divide(inverse(sP1_iProver_def),divide(sP1_iProver_def,divide(divide(inverse(sP1_iProver_def),divide(sP1_iProver_def,sP1_iProver_def)),sP1_iProver_def))),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_6858,c_127]) ).
cnf(c_6993,plain,
divide(divide(inverse(sP1_iProver_def),sP1_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_6980,c_6857]) ).
cnf(c_6996,plain,
multiply(sP2_iProver_def,divide(inverse(a2),sP1_iProver_def)) = multiply(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_6975,c_6857]) ).
cnf(c_7048,plain,
divide(divide(inverse(divide(sP1_iProver_def,X0)),sP1_iProver_def),multiply(sP1_iProver_def,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_6993,c_126]) ).
cnf(c_9519,plain,
divide(sP1_iProver_def,divide(inverse(divide(inverse(a2),sP1_iProver_def)),sP2_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_115,c_5512]) ).
cnf(c_9592,plain,
divide(divide(inverse(divide(X0,X1)),sP1_iProver_def),multiply(sP1_iProver_def,sP1_iProver_def)) = divide(inverse(divide(inverse(a2),divide(X1,X0))),sP2_iProver_def),
inference(superposition,[status(thm)],[c_5512,c_7048]) ).
cnf(c_9601,plain,
divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_5512,c_297]) ).
cnf(c_9606,plain,
divide(inverse(divide(inverse(a2),divide(X0,sP1_iProver_def))),sP2_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_7048,c_9592]) ).
cnf(c_10242,plain,
divide(inverse(divide(X0,X1)),divide(sP1_iProver_def,X0)) = divide(inverse(divide(inverse(a2),X1)),sP2_iProver_def),
inference(superposition,[status(thm)],[c_127,c_9606]) ).
cnf(c_10251,plain,
divide(inverse(divide(inverse(a2),sP1_iProver_def)),sP2_iProver_def) = divide(inverse(sP1_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_6993,c_9606]) ).
cnf(c_10287,plain,
divide(sP1_iProver_def,divide(inverse(sP1_iProver_def),sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_9519,c_10251]) ).
cnf(c_10438,plain,
divide(divide(inverse(sP1_iProver_def),divide(sP2_iProver_def,sP1_iProver_def)),divide(inverse(a2),sP1_iProver_def)) = divide(inverse(sP1_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_10287,c_2283]) ).
cnf(c_10503,plain,
divide(divide(inverse(multiply(X0,X1)),divide(inverse(X1),X0)),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_50,c_9601]) ).
cnf(c_10611,plain,
divide(inverse(divide(X0,X1)),divide(X1,X0)) = divide(inverse(divide(inverse(a2),sP1_iProver_def)),sP2_iProver_def),
inference(superposition,[status(thm)],[c_9601,c_9606]) ).
cnf(c_10616,plain,
divide(inverse(divide(X0,X1)),divide(X1,X0)) = divide(inverse(sP1_iProver_def),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_10611,c_10251]) ).
cnf(c_11016,plain,
divide(divide(inverse(sP2_iProver_def),divide(inverse(a2),sP1_iProver_def)),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_67,c_10503]) ).
cnf(c_11026,plain,
divide(divide(inverse(multiply(inverse(X0),X1)),multiply(inverse(X1),X0)),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_50,c_10503]) ).
cnf(c_11051,plain,
divide(inverse(multiply(X0,X1)),divide(inverse(X1),X0)) = divide(inverse(divide(inverse(a2),sP1_iProver_def)),sP2_iProver_def),
inference(superposition,[status(thm)],[c_10503,c_9606]) ).
cnf(c_11057,plain,
divide(inverse(multiply(X0,X1)),divide(inverse(X1),X0)) = divide(inverse(sP1_iProver_def),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_11051,c_10251]) ).
cnf(c_11277,plain,
divide(inverse(divide(inverse(a2),sP1_iProver_def)),sP2_iProver_def) = divide(inverse(sP2_iProver_def),divide(inverse(a2),sP1_iProver_def)),
inference(superposition,[status(thm)],[c_11016,c_9606]) ).
cnf(c_11279,plain,
divide(inverse(sP2_iProver_def),divide(inverse(a2),sP1_iProver_def)) = divide(inverse(sP1_iProver_def),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_11277,c_10251]) ).
cnf(c_11801,plain,
divide(divide(inverse(sP1_iProver_def),sP1_iProver_def),divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_10616,c_49]) ).
cnf(c_11820,plain,
divide(divide(inverse(sP1_iProver_def),sP1_iProver_def),sP2_iProver_def) = divide(inverse(a2),sP1_iProver_def),
inference(superposition,[status(thm)],[c_10616,c_3914]) ).
cnf(c_12378,plain,
divide(divide(inverse(sP1_iProver_def),sP1_iProver_def),divide(X0,X1)) = divide(divide(X1,X0),divide(inverse(sP1_iProver_def),sP1_iProver_def)),
inference(superposition,[status(thm)],[c_11801,c_11801]) ).
cnf(c_12383,plain,
multiply(divide(sP1_iProver_def,divide(inverse(sP1_iProver_def),sP1_iProver_def)),divide(X0,X1)) = multiply(sP2_iProver_def,divide(inverse(a2),divide(X1,X0))),
inference(superposition,[status(thm)],[c_11801,c_3190]) ).
cnf(c_12402,plain,
divide(divide(X0,X1),divide(inverse(sP1_iProver_def),sP1_iProver_def)) = divide(X0,X1),
inference(light_normalisation,[status(thm)],[c_12378,c_11801]) ).
cnf(c_12406,plain,
multiply(sP2_iProver_def,divide(inverse(a2),divide(X0,X1))) = multiply(sP1_iProver_def,divide(X1,X0)),
inference(light_normalisation,[status(thm)],[c_12383,c_10287]) ).
cnf(c_12409,plain,
multiply(sP1_iProver_def,divide(sP1_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2201,c_12406]) ).
cnf(c_12731,plain,
divide(divide(inverse(sP1_iProver_def),divide(sP2_iProver_def,sP1_iProver_def)),divide(inverse(a2),sP1_iProver_def)) = inverse(divide(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_12409,c_2543]) ).
cnf(c_12747,plain,
divide(inverse(sP1_iProver_def),sP1_iProver_def) = inverse(divide(sP1_iProver_def,sP1_iProver_def)),
inference(light_normalisation,[status(thm)],[c_12731,c_10438]) ).
cnf(c_12869,plain,
divide(X0,divide(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(X0,divide(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_12747,c_50]) ).
cnf(c_12997,plain,
multiply(divide(X0,X1),divide(sP1_iProver_def,sP1_iProver_def)) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_12402,c_12869]) ).
cnf(c_13040,plain,
multiply(X0,divide(sP1_iProver_def,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_9606,c_12997]) ).
cnf(c_13787,plain,
divide(X0,divide(inverse(sP1_iProver_def),sP1_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_12869,c_13040]) ).
cnf(c_13817,plain,
divide(inverse(divide(X0,X1)),divide(divide(sP1_iProver_def,inverse(sP1_iProver_def)),X0)) = X1,
inference(superposition,[status(thm)],[c_13787,c_49]) ).
cnf(c_13842,plain,
divide(divide(inverse(inverse(a2)),sP2_iProver_def),sP1_iProver_def) = divide(inverse(sP1_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_13787,c_257]) ).
cnf(c_13851,plain,
divide(inverse(inverse(a2)),sP2_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_13787,c_9606]) ).
cnf(c_13853,plain,
divide(inverse(sP1_iProver_def),sP1_iProver_def) = divide(sP1_iProver_def,inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_13787,c_11801]) ).
cnf(c_13865,plain,
divide(divide(sP1_iProver_def,inverse(sP1_iProver_def)),sP2_iProver_def) = divide(inverse(a2),sP1_iProver_def),
inference(demodulation,[status(thm)],[c_11820,c_13853]) ).
cnf(c_13866,plain,
divide(inverse(divide(X0,X1)),divide(X1,X0)) = divide(sP1_iProver_def,inverse(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_10616,c_13853]) ).
cnf(c_13867,plain,
divide(inverse(sP2_iProver_def),divide(inverse(a2),sP1_iProver_def)) = divide(sP1_iProver_def,inverse(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_11279,c_13853]) ).
cnf(c_14068,plain,
divide(divide(inverse(multiply(sP0_iProver_def,X0)),multiply(inverse(X0),b2)),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_65,c_11026]) ).
cnf(c_14175,plain,
divide(multiply(sP1_iProver_def,sP1_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14068,c_50,c_114,c_11057,c_13853]) ).
cnf(c_14183,plain,
divide(divide(inverse(sP1_iProver_def),divide(divide(X0,X1),multiply(sP1_iProver_def,sP1_iProver_def))),divide(X1,X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_14175,c_49]) ).
cnf(c_14272,plain,
multiply(sP2_iProver_def,divide(inverse(a2),sP1_iProver_def)) = divide(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_13040,c_3190]) ).
cnf(c_14289,plain,
divide(sP1_iProver_def,sP1_iProver_def) = multiply(sP1_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_6996,c_14272]) ).
cnf(c_14290,plain,
divide(divide(sP1_iProver_def,sP1_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14175,c_14289]) ).
cnf(c_14349,plain,
divide(divide(inverse(divide(X0,X1)),divide(divide(inverse(sP1_iProver_def),sP1_iProver_def),X0)),divide(sP1_iProver_def,sP1_iProver_def)) = X1,
inference(superposition,[status(thm)],[c_14289,c_126]) ).
cnf(c_14366,plain,
divide(X0,divide(sP1_iProver_def,sP1_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_14349,c_13817,c_13853]) ).
cnf(c_14370,plain,
divide(inverse(sP2_iProver_def),sP1_iProver_def) = inverse(a2),
inference(demodulation,[status(thm)],[c_404,c_14366]) ).
cnf(c_14430,plain,
divide(divide(inverse(divide(sP1_iProver_def,X0)),sP1_iProver_def),divide(sP1_iProver_def,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_14290,c_49]) ).
cnf(c_14763,plain,
divide(inverse(divide(X0,X1)),divide(divide(sP1_iProver_def,sP1_iProver_def),X0)) = X1,
inference(superposition,[status(thm)],[c_14366,c_49]) ).
cnf(c_14784,plain,
divide(inverse(multiply(sP1_iProver_def,X0)),sP1_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_14366,c_153]) ).
cnf(c_14787,plain,
divide(divide(inverse(inverse(a2)),sP2_iProver_def),sP1_iProver_def) = divide(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_14366,c_257]) ).
cnf(c_14793,plain,
divide(inverse(inverse(a2)),sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_14366,c_9606]) ).
cnf(c_14794,plain,
divide(sP1_iProver_def,inverse(sP1_iProver_def)) = divide(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_14787,c_13853,c_13842,c_13851]) ).
cnf(c_15058,plain,
divide(divide(inverse(sP2_iProver_def),divide(inverse(a2),sP1_iProver_def)),multiply(sP1_iProver_def,sP2_iProver_def)) = inverse(a2),
inference(superposition,[status(thm)],[c_14370,c_686]) ).
cnf(c_15059,plain,
multiply(multiply(sP1_iProver_def,sP2_iProver_def),inverse(a2)) = multiply(sP2_iProver_def,divide(inverse(a2),sP1_iProver_def)),
inference(superposition,[status(thm)],[c_14370,c_3413]) ).
cnf(c_15068,plain,
multiply(multiply(sP1_iProver_def,sP2_iProver_def),inverse(a2)) = divide(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_15059,c_14272]) ).
cnf(c_15069,plain,
divide(divide(sP1_iProver_def,sP1_iProver_def),multiply(sP1_iProver_def,sP2_iProver_def)) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_15058,c_13867,c_14794]) ).
cnf(c_15234,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_13851,c_14793]) ).
cnf(c_15241,plain,
divide(divide(sP1_iProver_def,divide(sP1_iProver_def,sP0_iProver_def)),sP1_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_201,c_15234]) ).
cnf(c_15247,plain,
divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_15234,c_50]) ).
cnf(c_16182,plain,
divide(inverse(divide(sP1_iProver_def,X0)),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_14430,c_14366]) ).
cnf(c_16205,plain,
multiply(multiply(sP1_iProver_def,divide(sP1_iProver_def,X0)),X0) = multiply(sP2_iProver_def,divide(inverse(a2),sP1_iProver_def)),
inference(superposition,[status(thm)],[c_16182,c_3413]) ).
cnf(c_16209,plain,
divide(inverse(divide(inverse(a2),X0)),sP2_iProver_def) = inverse(divide(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_16182,c_9606]) ).
cnf(c_16211,plain,
multiply(multiply(sP1_iProver_def,divide(sP1_iProver_def,X0)),X0) = divide(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_16205,c_14272]) ).
cnf(c_16214,plain,
inverse(divide(sP1_iProver_def,divide(X0,sP1_iProver_def))) = X0,
inference(demodulation,[status(thm)],[c_9606,c_16209]) ).
cnf(c_16293,plain,
divide(inverse(sP1_iProver_def),divide(divide(sP1_iProver_def,sP1_iProver_def),inverse(inverse(a2)))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_14793,c_14763]) ).
cnf(c_16328,plain,
divide(sP1_iProver_def,divide(divide(sP1_iProver_def,sP1_iProver_def),inverse(inverse(a2)))) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_16293,c_15234]) ).
cnf(c_16802,plain,
inverse(divide(sP1_iProver_def,sP1_iProver_def)) = divide(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_14290,c_16214]) ).
cnf(c_16808,plain,
divide(divide(X0,divide(divide(X1,X2),sP1_iProver_def)),divide(X2,X1)) = divide(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_16214,c_49]) ).
cnf(c_17087,plain,
divide(sP1_iProver_def,divide(sP1_iProver_def,sP0_iProver_def)) = inverse(divide(sP1_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_15241,c_16214]) ).
cnf(c_18009,plain,
divide(divide(X0,divide(sP1_iProver_def,sP1_iProver_def)),divide(sP2_iProver_def,inverse(inverse(a2)))) = divide(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_14793,c_16808]) ).
cnf(c_18077,plain,
divide(X0,divide(sP2_iProver_def,inverse(inverse(a2)))) = divide(X0,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_18009,c_14366]) ).
cnf(c_18327,plain,
divide(divide(inverse(divide(X0,X1)),divide(divide(sP1_iProver_def,sP1_iProver_def),X0)),divide(inverse(inverse(a2)),multiply(sP1_iProver_def,sP2_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_15068,c_123]) ).
cnf(c_18330,plain,
divide(X0,divide(inverse(inverse(a2)),multiply(sP1_iProver_def,sP2_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_18327,c_14763]) ).
cnf(c_18434,plain,
divide(inverse(divide(multiply(sP1_iProver_def,sP2_iProver_def),X0)),inverse(a2)) = X0,
inference(superposition,[status(thm)],[c_15069,c_14763]) ).
cnf(c_19142,plain,
divide(divide(sP1_iProver_def,sP1_iProver_def),sP2_iProver_def) = divide(inverse(a2),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_13865,c_14794]) ).
cnf(c_19166,plain,
divide(inverse(divide(sP2_iProver_def,X0)),divide(inverse(a2),sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_19142,c_14763]) ).
cnf(c_19223,plain,
divide(sP1_iProver_def,multiply(divide(sP1_iProver_def,sP1_iProver_def),inverse(a2))) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_16328,c_50]) ).
cnf(c_19245,plain,
multiply(divide(sP1_iProver_def,sP1_iProver_def),inverse(a2)) = divide(inverse(sP2_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_19223,c_16182]) ).
cnf(c_19248,plain,
multiply(divide(sP1_iProver_def,sP1_iProver_def),inverse(a2)) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_19245,c_14370]) ).
cnf(c_19250,plain,
divide(sP1_iProver_def,inverse(a2)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_19223,c_19248]) ).
cnf(c_20074,plain,
divide(X0,multiply(sP2_iProver_def,inverse(a2))) = divide(X0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_18077,c_50]) ).
cnf(c_20109,plain,
divide(inverse(divide(sP1_iProver_def,sP1_iProver_def)),sP1_iProver_def) = multiply(sP2_iProver_def,inverse(a2)),
inference(superposition,[status(thm)],[c_20074,c_16182]) ).
cnf(c_20125,plain,
multiply(sP2_iProver_def,inverse(a2)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_20109,c_14290,c_16802]) ).
cnf(c_20571,plain,
divide(inverse(inverse(a2)),multiply(sP1_iProver_def,sP2_iProver_def)) = divide(inverse(sP1_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_18330,c_16182]) ).
cnf(c_20588,plain,
divide(inverse(inverse(a2)),multiply(sP1_iProver_def,sP2_iProver_def)) = divide(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_20571,c_13853,c_14794]) ).
cnf(c_20767,plain,
multiply(inverse(divide(multiply(sP1_iProver_def,sP2_iProver_def),X0)),a2) = X0,
inference(demodulation,[status(thm)],[c_18434,c_50]) ).
cnf(c_20768,plain,
multiply(inverse(multiply(multiply(sP1_iProver_def,sP2_iProver_def),X0)),a2) = inverse(X0),
inference(superposition,[status(thm)],[c_50,c_20767]) ).
cnf(c_21481,plain,
divide(inverse(multiply(sP2_iProver_def,X0)),divide(inverse(a2),sP1_iProver_def)) = inverse(X0),
inference(superposition,[status(thm)],[c_50,c_19166]) ).
cnf(c_21834,plain,
multiply(inverse(divide(sP1_iProver_def,sP1_iProver_def)),a2) = inverse(inverse(a2)),
inference(superposition,[status(thm)],[c_15068,c_20768]) ).
cnf(c_21847,plain,
multiply(divide(sP1_iProver_def,sP1_iProver_def),a2) = inverse(inverse(a2)),
inference(light_normalisation,[status(thm)],[c_21834,c_16802]) ).
cnf(c_22263,plain,
divide(inverse(sP1_iProver_def),divide(inverse(a2),sP1_iProver_def)) = inverse(inverse(a2)),
inference(superposition,[status(thm)],[c_20125,c_21481]) ).
cnf(c_22293,plain,
divide(sP1_iProver_def,divide(inverse(a2),sP1_iProver_def)) = inverse(inverse(a2)),
inference(light_normalisation,[status(thm)],[c_22263,c_15234]) ).
cnf(c_22468,plain,
divide(inverse(inverse(inverse(a2))),sP1_iProver_def) = divide(inverse(a2),sP1_iProver_def),
inference(superposition,[status(thm)],[c_22293,c_16182]) ).
cnf(c_22471,plain,
inverse(inverse(inverse(a2))) = inverse(a2),
inference(superposition,[status(thm)],[c_22293,c_16214]) ).
cnf(c_22643,plain,
divide(divide(inverse(divide(sP1_iProver_def,sP1_iProver_def)),multiply(sP2_iProver_def,inverse(a2))),divide(inverse(a2),sP1_iProver_def)) = multiply(sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_20588,c_2574]) ).
cnf(c_22649,plain,
inverse(inverse(a2)) = multiply(sP1_iProver_def,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_22643,c_14290,c_16802,c_20125,c_22293]) ).
cnf(c_22731,plain,
divide(inverse(inverse(inverse(a2))),sP1_iProver_def) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_22649,c_14784]) ).
cnf(c_22735,plain,
divide(inverse(a2),sP1_iProver_def) = inverse(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_22731,c_22468,c_22471]) ).
cnf(c_22744,plain,
divide(sP1_iProver_def,inverse(sP2_iProver_def)) = inverse(inverse(a2)),
inference(demodulation,[status(thm)],[c_22293,c_22735]) ).
cnf(c_22749,plain,
divide(divide(sP1_iProver_def,sP1_iProver_def),sP2_iProver_def) = inverse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_19142,c_22735]) ).
cnf(c_22846,plain,
divide(divide(X0,divide(inverse(sP2_iProver_def),sP1_iProver_def)),divide(sP1_iProver_def,inverse(a2))) = divide(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_22735,c_16808]) ).
cnf(c_22868,plain,
divide(divide(X0,inverse(a2)),sP2_iProver_def) = divide(X0,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_22846,c_19250,c_14370]) ).
cnf(c_25441,plain,
divide(multiply(X0,a2),sP2_iProver_def) = divide(X0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_22868,c_50]) ).
cnf(c_25445,plain,
divide(multiply(sP1_iProver_def,divide(sP1_iProver_def,a2)),sP1_iProver_def) = divide(divide(sP1_iProver_def,sP1_iProver_def),sP2_iProver_def),
inference(superposition,[status(thm)],[c_16211,c_25441]) ).
cnf(c_25468,plain,
divide(multiply(sP1_iProver_def,divide(sP1_iProver_def,a2)),sP1_iProver_def) = inverse(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_25445,c_22749]) ).
cnf(c_25536,plain,
inverse(divide(sP1_iProver_def,inverse(sP2_iProver_def))) = multiply(sP1_iProver_def,divide(sP1_iProver_def,a2)),
inference(superposition,[status(thm)],[c_25468,c_16214]) ).
cnf(c_25538,plain,
multiply(sP1_iProver_def,divide(sP1_iProver_def,a2)) = inverse(a2),
inference(light_normalisation,[status(thm)],[c_25536,c_22471,c_22744]) ).
cnf(c_25575,plain,
divide(inverse(inverse(a2)),sP1_iProver_def) = inverse(divide(sP1_iProver_def,a2)),
inference(superposition,[status(thm)],[c_25538,c_14784]) ).
cnf(c_25759,plain,
divide(divide(sP1_iProver_def,divide(divide(X0,X1),multiply(sP1_iProver_def,sP1_iProver_def))),divide(X1,X0)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_14183,c_15234]) ).
cnf(c_25760,plain,
divide(divide(sP1_iProver_def,divide(X0,X1)),divide(X1,X0)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_25759,c_14366,c_15247]) ).
cnf(c_25762,plain,
divide(inverse(divide(sP1_iProver_def,sP0_iProver_def)),divide(sP0_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_17087,c_25760]) ).
cnf(c_29766,plain,
divide(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_25762,c_13866,c_14794]) ).
cnf(c_29776,plain,
inverse(inverse(a2)) = multiply(sP1_iProver_def,a2),
inference(demodulation,[status(thm)],[c_21847,c_29766]) ).
cnf(c_29781,plain,
divide(inverse(divide(X0,X1)),divide(sP1_iProver_def,X0)) = X1,
inference(demodulation,[status(thm)],[c_14763,c_29766]) ).
cnf(c_29784,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_13040,c_29766]) ).
cnf(c_29785,plain,
divide(X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_29784,c_15247]) ).
cnf(c_29786,plain,
inverse(inverse(a2)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_29776,c_67]) ).
cnf(c_29787,plain,
divide(inverse(divide(inverse(a2),X0)),sP2_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_29781,c_10242]) ).
cnf(c_29788,plain,
inverse(divide(sP1_iProver_def,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_29787,c_16209]) ).
cnf(c_29801,plain,
inverse(divide(sP1_iProver_def,a2)) = inverse(inverse(a2)),
inference(demodulation,[status(thm)],[c_25575,c_29785]) ).
cnf(c_32119,plain,
inverse(divide(sP1_iProver_def,a2)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_29801,c_29786]) ).
cnf(c_32120,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_32119,c_29788]) ).
cnf(c_32123,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_68,c_32120]) ).
cnf(c_32124,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_32123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP473-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 23:41:25 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.49 Running UEQ theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.99/3.66 % SZS status Started for theBenchmark.p
% 23.99/3.66 % SZS status Unsatisfiable for theBenchmark.p
% 23.99/3.66
% 23.99/3.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.99/3.66
% 23.99/3.66 ------ iProver source info
% 23.99/3.66
% 23.99/3.66 git: date: 2024-05-02 19:28:25 +0000
% 23.99/3.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.99/3.66 git: non_committed_changes: false
% 23.99/3.66
% 23.99/3.66 ------ Parsing...successful
% 23.99/3.66
% 23.99/3.66
% 23.99/3.66
% 23.99/3.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 23.99/3.66
% 23.99/3.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.99/3.66
% 23.99/3.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.99/3.66 ------ Proving...
% 23.99/3.66 ------ Problem Properties
% 23.99/3.66
% 23.99/3.66
% 23.99/3.66 clauses 6
% 23.99/3.66 conjectures 1
% 23.99/3.66 EPR 1
% 23.99/3.66 Horn 6
% 23.99/3.66 unary 6
% 23.99/3.66 binary 0
% 23.99/3.66 lits 6
% 23.99/3.66 lits eq 6
% 23.99/3.66 fd_pure 0
% 23.99/3.66 fd_pseudo 0
% 23.99/3.66 fd_cond 0
% 23.99/3.66 fd_pseudo_cond 0
% 23.99/3.66 AC symbols 0
% 23.99/3.66
% 23.99/3.66 ------ Input Options Time Limit: Unbounded
% 23.99/3.66
% 23.99/3.66
% 23.99/3.66 ------
% 23.99/3.66 Current options:
% 23.99/3.66 ------
% 23.99/3.66
% 23.99/3.66
% 23.99/3.66
% 23.99/3.66
% 23.99/3.66 ------ Proving...
% 23.99/3.66
% 23.99/3.66
% 23.99/3.66 % SZS status Unsatisfiable for theBenchmark.p
% 23.99/3.66
% 23.99/3.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.99/3.66
% 23.99/3.67
%------------------------------------------------------------------------------