TSTP Solution File: GRP479-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP479-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:22:42 EDT 2024
% Result : Unsatisfiable 11.97s 2.18s
% Output : CNFRefutation 11.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
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_69,plain,
X0 = X0,
theory(equality) ).
cnf(c_70,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_77,plain,
a2 = a2,
inference(instantiation,[status(thm)],[c_69]) ).
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(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(inverse(X1),X3)))),X3) = X2,
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_120,plain,
divide(inverse(divide(divide(sP1_iProver_def,X0),divide(X1,divide(X0,X2)))),X2) = X1,
inference(superposition,[status(thm)],[c_115,c_49]) ).
cnf(c_126,plain,
inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(divide(X5,X5),X3),X2)),X4),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_139,plain,
divide(inverse(divide(multiply(sP1_iProver_def,X0),divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(superposition,[status(thm)],[c_115,c_118]) ).
cnf(c_163,plain,
( a2 != X0
| sP2_iProver_def != X0
| sP2_iProver_def = a2 ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_165,plain,
sP2_iProver_def = sP2_iProver_def,
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_166,plain,
( X0 != X1
| sP2_iProver_def != X1
| sP2_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_169,plain,
inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,divide(X3,X4))))) = divide(inverse(divide(divide(sP1_iProver_def,X3),X2)),X4),
inference(superposition,[status(thm)],[c_49,c_120]) ).
cnf(c_172,plain,
divide(inverse(divide(divide(sP1_iProver_def,inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3))))),divide(X4,X2))),X3) = X4,
inference(superposition,[status(thm)],[c_49,c_120]) ).
cnf(c_173,plain,
divide(inverse(divide(divide(sP1_iProver_def,X0),divide(X1,multiply(X0,X2)))),inverse(X2)) = X1,
inference(superposition,[status(thm)],[c_50,c_120]) ).
cnf(c_174,plain,
divide(inverse(divide(divide(sP1_iProver_def,sP0_iProver_def),divide(X0,sP1_iProver_def))),sP0_iProver_def) = X0,
inference(superposition,[status(thm)],[c_115,c_120]) ).
cnf(c_202,plain,
( X0 != sP2_iProver_def
| sP2_iProver_def != sP2_iProver_def
| sP2_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_212,plain,
( multiply(sP1_iProver_def,a2) != sP2_iProver_def
| sP2_iProver_def != sP2_iProver_def
| sP2_iProver_def = multiply(sP1_iProver_def,a2) ),
inference(instantiation,[status(thm)],[c_202]) ).
cnf(c_216,plain,
( X0 != multiply(sP1_iProver_def,a2)
| sP2_iProver_def != multiply(sP1_iProver_def,a2)
| sP2_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_256,plain,
multiply(inverse(divide(divide(sP1_iProver_def,X0),divide(X1,multiply(X0,X2)))),X2) = X1,
inference(demodulation,[status(thm)],[c_173,c_50]) ).
cnf(c_262,plain,
multiply(inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),divide(X0,sP2_iProver_def))),a2) = X0,
inference(superposition,[status(thm)],[c_67,c_256]) ).
cnf(c_284,plain,
( divide(sP1_iProver_def,inverse(a2)) != multiply(sP1_iProver_def,a2)
| sP2_iProver_def != multiply(sP1_iProver_def,a2)
| sP2_iProver_def = divide(sP1_iProver_def,inverse(a2)) ),
inference(instantiation,[status(thm)],[c_216]) ).
cnf(c_285,plain,
divide(sP1_iProver_def,inverse(a2)) = multiply(sP1_iProver_def,a2),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_325,plain,
divide(inverse(divide(sP2_iProver_def,divide(X0,divide(inverse(a2),X1)))),X1) = X0,
inference(superposition,[status(thm)],[c_67,c_139]) ).
cnf(c_337,plain,
divide(inverse(divide(multiply(sP1_iProver_def,divide(divide(sP1_iProver_def,sP0_iProver_def),divide(X0,sP1_iProver_def))),divide(X1,X0))),sP0_iProver_def) = X1,
inference(superposition,[status(thm)],[c_174,c_139]) ).
cnf(c_433,plain,
( a2 != divide(sP1_iProver_def,inverse(a2))
| sP2_iProver_def != divide(sP1_iProver_def,inverse(a2))
| sP2_iProver_def = a2 ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_449,plain,
inverse(divide(sP2_iProver_def,divide(X0,divide(inverse(a2),divide(X1,X2))))) = divide(inverse(divide(divide(sP1_iProver_def,X1),X0)),X2),
inference(superposition,[status(thm)],[c_325,c_120]) ).
cnf(c_454,plain,
inverse(divide(sP2_iProver_def,divide(X0,divide(inverse(a2),sP1_iProver_def)))) = divide(inverse(divide(divide(sP1_iProver_def,sP0_iProver_def),X0)),sP0_iProver_def),
inference(superposition,[status(thm)],[c_325,c_174]) ).
cnf(c_455,plain,
inverse(divide(sP2_iProver_def,divide(X0,divide(inverse(a2),sP2_iProver_def)))) = multiply(inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),X0)),a2),
inference(superposition,[status(thm)],[c_325,c_262]) ).
cnf(c_706,plain,
( divide(sP1_iProver_def,inverse(a2)) != X0
| a2 != X0
| a2 = divide(sP1_iProver_def,inverse(a2)) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_707,plain,
( divide(sP1_iProver_def,inverse(a2)) != a2
| a2 != a2
| a2 = divide(sP1_iProver_def,inverse(a2)) ),
inference(instantiation,[status(thm)],[c_706]) ).
cnf(c_1115,plain,
divide(inverse(divide(multiply(sP1_iProver_def,divide(divide(sP1_iProver_def,sP0_iProver_def),divide(X0,sP1_iProver_def))),X1)),sP0_iProver_def) = inverse(divide(sP2_iProver_def,divide(X1,divide(inverse(a2),X0)))),
inference(superposition,[status(thm)],[c_325,c_337]) ).
cnf(c_1123,plain,
inverse(divide(sP2_iProver_def,divide(divide(X0,X1),divide(inverse(a2),X1)))) = X0,
inference(demodulation,[status(thm)],[c_337,c_1115]) ).
cnf(c_1158,plain,
divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3) = divide(inverse(divide(divide(sP1_iProver_def,X1),X2)),X3),
inference(light_normalisation,[status(thm)],[c_126,c_169]) ).
cnf(c_1328,plain,
inverse(divide(sP2_iProver_def,divide(divide(X0,inverse(X1)),multiply(inverse(a2),X1)))) = X0,
inference(superposition,[status(thm)],[c_50,c_1123]) ).
cnf(c_1329,plain,
multiply(X0,divide(sP2_iProver_def,divide(divide(X1,X2),divide(inverse(a2),X2)))) = divide(X0,X1),
inference(superposition,[status(thm)],[c_1123,c_50]) ).
cnf(c_1332,plain,
inverse(divide(sP2_iProver_def,divide(multiply(X0,X1),multiply(inverse(a2),X1)))) = X0,
inference(light_normalisation,[status(thm)],[c_1328,c_50]) ).
cnf(c_1380,plain,
inverse(divide(sP2_iProver_def,divide(X0,multiply(inverse(a2),a2)))) = inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),divide(X0,sP2_iProver_def))),
inference(superposition,[status(thm)],[c_262,c_1332]) ).
cnf(c_1382,plain,
multiply(X0,divide(sP2_iProver_def,divide(multiply(X1,X2),multiply(inverse(a2),X2)))) = divide(X0,X1),
inference(superposition,[status(thm)],[c_1332,c_50]) ).
cnf(c_1435,plain,
divide(X0,inverse(divide(divide(sP1_iProver_def,sP0_iProver_def),divide(X1,sP1_iProver_def)))) = multiply(X0,divide(sP2_iProver_def,divide(X1,divide(inverse(a2),sP0_iProver_def)))),
inference(superposition,[status(thm)],[c_174,c_1329]) ).
cnf(c_1490,plain,
multiply(X0,divide(sP2_iProver_def,divide(multiply(X1,b2),divide(inverse(a2),sP0_iProver_def)))) = divide(X0,X1),
inference(superposition,[status(thm)],[c_114,c_1382]) ).
cnf(c_1635,plain,
multiply(X0,divide(divide(sP1_iProver_def,sP0_iProver_def),divide(divide(X1,sP0_iProver_def),sP1_iProver_def))) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_1490,c_50,c_114,c_1435]) ).
cnf(c_1664,plain,
divide(divide(inverse(divide(divide(sP1_iProver_def,sP0_iProver_def),X0)),sP0_iProver_def),sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_454,c_325]) ).
cnf(c_1681,plain,
divide(divide(inverse(multiply(divide(sP1_iProver_def,sP0_iProver_def),X0)),sP0_iProver_def),sP1_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_50,c_1664]) ).
cnf(c_1696,plain,
divide(divide(inverse(divide(divide(sP1_iProver_def,sP0_iProver_def),X0)),sP0_iProver_def),sP1_iProver_def) = inverse(divide(divide(sP1_iProver_def,sP0_iProver_def),divide(divide(X0,sP0_iProver_def),sP1_iProver_def))),
inference(superposition,[status(thm)],[c_1635,c_1681]) ).
cnf(c_1704,plain,
inverse(divide(divide(sP1_iProver_def,sP0_iProver_def),divide(divide(X0,sP0_iProver_def),sP1_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_1696,c_1664]) ).
cnf(c_1760,plain,
divide(multiply(inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),X0)),a2),sP2_iProver_def) = X0,
inference(superposition,[status(thm)],[c_455,c_325]) ).
cnf(c_1874,plain,
inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),divide(multiply(X0,a2),sP2_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_1380,c_1332]) ).
cnf(c_3458,plain,
divide(inverse(divide(divide(sP1_iProver_def,multiply(inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),X0)),a2)),X1)),sP2_iProver_def) = inverse(divide(sP2_iProver_def,divide(X1,divide(inverse(a2),X0)))),
inference(superposition,[status(thm)],[c_1760,c_449]) ).
cnf(c_3463,plain,
divide(divide(inverse(divide(divide(sP1_iProver_def,X0),X1)),X2),divide(X0,X2)) = X1,
inference(superposition,[status(thm)],[c_449,c_325]) ).
cnf(c_3498,plain,
divide(multiply(inverse(divide(divide(sP1_iProver_def,X0),X1)),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_50,c_3463]) ).
cnf(c_3502,plain,
divide(divide(X0,X1),divide(sP0_iProver_def,X1)) = divide(divide(X0,sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_1704,c_3463]) ).
cnf(c_3503,plain,
divide(divide(X0,X1),divide(sP1_iProver_def,X1)) = divide(multiply(X0,a2),sP2_iProver_def),
inference(superposition,[status(thm)],[c_1874,c_3463]) ).
cnf(c_3505,plain,
divide(divide(inverse(divide(multiply(sP1_iProver_def,X0),X1)),X2),divide(inverse(X0),X2)) = X1,
inference(superposition,[status(thm)],[c_50,c_3463]) ).
cnf(c_3746,plain,
divide(divide(X0,inverse(X1)),multiply(sP0_iProver_def,X1)) = divide(divide(X0,sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_50,c_3502]) ).
cnf(c_3771,plain,
divide(multiply(X0,X1),multiply(sP0_iProver_def,X1)) = divide(divide(X0,sP0_iProver_def),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_3746,c_50]) ).
cnf(c_3928,plain,
divide(divide(inverse(divide(multiply(sP1_iProver_def,a2),sP2_iProver_def)),X0),divide(X1,X0)) = divide(sP1_iProver_def,X1),
inference(superposition,[status(thm)],[c_3503,c_3463]) ).
cnf(c_3933,plain,
divide(divide(inverse(divide(sP2_iProver_def,sP2_iProver_def)),X0),divide(X1,X0)) = divide(sP1_iProver_def,X1),
inference(light_normalisation,[status(thm)],[c_3928,c_67]) ).
cnf(c_4098,plain,
divide(inverse(divide(divide(sP1_iProver_def,multiply(inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),X0)),a2)),X1)),sP2_iProver_def) = inverse(divide(divide(divide(X2,X2),X3),divide(X1,divide(X3,X0)))),
inference(superposition,[status(thm)],[c_1760,c_169]) ).
cnf(c_4115,plain,
inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))) = inverse(divide(sP2_iProver_def,divide(X2,divide(inverse(a2),X3)))),
inference(light_normalisation,[status(thm)],[c_4098,c_3458]) ).
cnf(c_4305,plain,
divide(divide(sP1_iProver_def,sP0_iProver_def),sP1_iProver_def) = divide(sP2_iProver_def,multiply(sP0_iProver_def,a2)),
inference(superposition,[status(thm)],[c_67,c_3771]) ).
cnf(c_4464,plain,
divide(divide(inverse(divide(sP2_iProver_def,multiply(sP0_iProver_def,a2))),sP0_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4305,c_1664]) ).
cnf(c_5203,plain,
divide(multiply(inverse(divide(divide(sP1_iProver_def,X0),X1)),X2),multiply(X0,X2)) = X1,
inference(demodulation,[status(thm)],[c_3498,c_50]) ).
cnf(c_5221,plain,
divide(multiply(inverse(divide(multiply(sP1_iProver_def,a2),sP2_iProver_def)),X0),multiply(X1,X0)) = divide(sP1_iProver_def,X1),
inference(superposition,[status(thm)],[c_3503,c_5203]) ).
cnf(c_5252,plain,
divide(multiply(inverse(divide(sP2_iProver_def,sP2_iProver_def)),X0),multiply(X1,X0)) = divide(sP1_iProver_def,X1),
inference(light_normalisation,[status(thm)],[c_5221,c_67]) ).
cnf(c_5650,plain,
divide(divide(inverse(divide(sP2_iProver_def,X0)),X1),divide(inverse(a2),X1)) = X0,
inference(superposition,[status(thm)],[c_67,c_3505]) ).
cnf(c_6068,plain,
divide(sP1_iProver_def,inverse(divide(sP2_iProver_def,divide(X0,divide(inverse(a2),X1))))) = divide(divide(inverse(divide(sP2_iProver_def,sP2_iProver_def)),X1),X0),
inference(superposition,[status(thm)],[c_325,c_3933]) ).
cnf(c_6569,plain,
divide(inverse(divide(divide(sP1_iProver_def,inverse(divide(sP2_iProver_def,divide(X0,divide(inverse(a2),X1))))),divide(X2,X0))),X1) = X2,
inference(light_normalisation,[status(thm)],[c_172,c_4115]) ).
cnf(c_6570,plain,
divide(inverse(divide(divide(divide(inverse(divide(sP2_iProver_def,sP2_iProver_def)),X0),X1),divide(X2,X1))),X0) = X2,
inference(light_normalisation,[status(thm)],[c_6569,c_6068]) ).
cnf(c_6635,plain,
divide(inverse(divide(divide(sP1_iProver_def,X0),divide(X1,X0))),inverse(divide(sP2_iProver_def,sP2_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_6570,c_1158]) ).
cnf(c_7902,plain,
multiply(inverse(divide(divide(sP1_iProver_def,X0),divide(X1,X0))),divide(sP2_iProver_def,sP2_iProver_def)) = X1,
inference(demodulation,[status(thm)],[c_6635,c_50]) ).
cnf(c_7904,plain,
multiply(inverse(divide(multiply(sP1_iProver_def,a2),sP2_iProver_def)),divide(sP2_iProver_def,sP2_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_3503,c_7902]) ).
cnf(c_7905,plain,
multiply(inverse(divide(multiply(sP1_iProver_def,X0),divide(X1,inverse(X0)))),divide(sP2_iProver_def,sP2_iProver_def)) = X1,
inference(superposition,[status(thm)],[c_50,c_7902]) ).
cnf(c_7931,plain,
multiply(inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),sP1_iProver_def)),divide(sP2_iProver_def,sP2_iProver_def)) = divide(inverse(divide(sP2_iProver_def,multiply(sP0_iProver_def,a2))),sP0_iProver_def),
inference(superposition,[status(thm)],[c_4464,c_7902]) ).
cnf(c_7949,plain,
divide(X0,multiply(X1,divide(sP2_iProver_def,sP2_iProver_def))) = divide(X0,X1),
inference(superposition,[status(thm)],[c_7902,c_5203]) ).
cnf(c_7951,plain,
multiply(inverse(divide(sP2_iProver_def,sP2_iProver_def)),divide(sP2_iProver_def,sP2_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_7904,c_67]) ).
cnf(c_8143,plain,
divide(sP1_iProver_def,inverse(divide(sP2_iProver_def,sP2_iProver_def))) = divide(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_7951,c_5252]) ).
cnf(c_8219,plain,
multiply(sP1_iProver_def,divide(sP2_iProver_def,sP2_iProver_def)) = divide(sP1_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_8143,c_50]) ).
cnf(c_8478,plain,
multiply(inverse(divide(multiply(sP1_iProver_def,X0),multiply(X1,X0))),divide(sP2_iProver_def,sP2_iProver_def)) = X1,
inference(demodulation,[status(thm)],[c_7905,c_50]) ).
cnf(c_8507,plain,
multiply(inverse(divide(multiply(sP1_iProver_def,divide(sP2_iProver_def,sP2_iProver_def)),sP1_iProver_def)),divide(sP2_iProver_def,sP2_iProver_def)) = inverse(divide(sP2_iProver_def,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_7951,c_8478]) ).
cnf(c_8524,plain,
divide(inverse(divide(sP2_iProver_def,multiply(sP0_iProver_def,a2))),sP0_iProver_def) = inverse(divide(sP2_iProver_def,sP2_iProver_def)),
inference(light_normalisation,[status(thm)],[c_8507,c_7931,c_8219]) ).
cnf(c_8535,plain,
divide(inverse(divide(sP2_iProver_def,sP2_iProver_def)),sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4464,c_8524]) ).
cnf(c_8656,plain,
multiply(X0,divide(sP2_iProver_def,divide(sP1_iProver_def,divide(inverse(a2),sP1_iProver_def)))) = divide(X0,inverse(divide(sP2_iProver_def,sP2_iProver_def))),
inference(superposition,[status(thm)],[c_8535,c_1329]) ).
cnf(c_8661,plain,
divide(sP1_iProver_def,divide(inverse(a2),sP1_iProver_def)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_8535,c_5650]) ).
cnf(c_8890,plain,
divide(X0,divide(sP1_iProver_def,sP1_iProver_def)) = divide(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_8219,c_7949]) ).
cnf(c_8929,plain,
divide(multiply(inverse(divide(divide(sP1_iProver_def,sP1_iProver_def),X0)),a2),sP2_iProver_def) = multiply(X0,divide(sP2_iProver_def,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_7949,c_1760]) ).
cnf(c_8964,plain,
multiply(X0,divide(sP2_iProver_def,sP2_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_8929,c_1760]) ).
cnf(c_8990,plain,
divide(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_8219,c_8964]) ).
cnf(c_9314,plain,
multiply(X0,divide(sP2_iProver_def,divide(sP1_iProver_def,divide(inverse(a2),sP1_iProver_def)))) = divide(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_8990,c_1329]) ).
cnf(c_9324,plain,
divide(X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_9314,c_8656,c_8661,c_8964]) ).
cnf(c_9337,plain,
inverse(divide(sP2_iProver_def,sP2_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_8535,c_9324]) ).
cnf(c_9340,plain,
divide(divide(sP1_iProver_def,X0),divide(X1,X0)) = divide(sP1_iProver_def,X1),
inference(demodulation,[status(thm)],[c_3933,c_9337]) ).
cnf(c_9387,plain,
inverse(divide(sP2_iProver_def,divide(X0,divide(inverse(a2),X1)))) = divide(inverse(divide(divide(sP1_iProver_def,X1),X0)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_9324,c_449]) ).
cnf(c_9389,plain,
divide(multiply(X0,a2),sP2_iProver_def) = divide(X0,divide(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_9324,c_3503]) ).
cnf(c_9409,plain,
divide(inverse(divide(divide(sP1_iProver_def,X0),X1)),divide(X0,sP1_iProver_def)) = X1,
inference(superposition,[status(thm)],[c_9324,c_3463]) ).
cnf(c_9418,plain,
divide(multiply(X0,a2),sP2_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_9389,c_8890,c_9324]) ).
cnf(c_9420,plain,
divide(inverse(divide(divide(sP1_iProver_def,X0),X1)),X0) = X1,
inference(light_normalisation,[status(thm)],[c_9409,c_9324]) ).
cnf(c_9432,plain,
divide(inverse(divide(divide(sP1_iProver_def,X0),divide(X1,X0))),sP1_iProver_def) = X1,
inference(demodulation,[status(thm)],[c_1123,c_9387]) ).
cnf(c_9433,plain,
divide(inverse(divide(sP1_iProver_def,X0)),sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_9432,c_9340]) ).
cnf(c_9435,plain,
divide(divide(X0,X1),divide(sP1_iProver_def,X1)) = X0,
inference(demodulation,[status(thm)],[c_3503,c_9418]) ).
cnf(c_9634,plain,
divide(sP2_iProver_def,sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_67,c_9418]) ).
cnf(c_9642,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_9337,c_9634]) ).
cnf(c_9945,plain,
inverse(divide(sP1_iProver_def,X0)) = X0,
inference(demodulation,[status(thm)],[c_9433,c_9324]) ).
cnf(c_11222,plain,
divide(inverse(divide(divide(sP1_iProver_def,X0),X1)),X2) = divide(X1,divide(sP1_iProver_def,divide(X0,X2))),
inference(superposition,[status(thm)],[c_3463,c_9435]) ).
cnf(c_11761,plain,
divide(X0,divide(sP1_iProver_def,divide(X1,X1))) = X0,
inference(demodulation,[status(thm)],[c_9420,c_11222]) ).
cnf(c_11783,plain,
divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_11761,c_9435]) ).
cnf(c_11860,plain,
divide(X0,X0) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_11783,c_9945]) ).
cnf(c_11875,plain,
divide(X0,X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_11860,c_9642]) ).
cnf(c_11904,plain,
divide(sP1_iProver_def,divide(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_11875,c_9435]) ).
cnf(c_12089,plain,
divide(sP1_iProver_def,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_11904,c_9945]) ).
cnf(c_12097,plain,
divide(sP1_iProver_def,inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_11904,c_12089]) ).
cnf(c_12103,plain,
divide(sP1_iProver_def,inverse(a2)) = a2,
inference(instantiation,[status(thm)],[c_12097]) ).
cnf(c_12104,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12103,c_707,c_433,c_285,c_284,c_212,c_165,c_68,c_67,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP479-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 00:21:03 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 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
% 11.97/2.18 % SZS status Started for theBenchmark.p
% 11.97/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 11.97/2.18
% 11.97/2.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.97/2.18
% 11.97/2.18 ------ iProver source info
% 11.97/2.18
% 11.97/2.18 git: date: 2024-05-02 19:28:25 +0000
% 11.97/2.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 11.97/2.18 git: non_committed_changes: false
% 11.97/2.18
% 11.97/2.18 ------ Parsing...successful
% 11.97/2.18
% 11.97/2.18
% 11.97/2.18
% 11.97/2.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 11.97/2.18
% 11.97/2.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.97/2.18
% 11.97/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.97/2.18 ------ Proving...
% 11.97/2.18 ------ Problem Properties
% 11.97/2.18
% 11.97/2.18
% 11.97/2.18 clauses 6
% 11.97/2.18 conjectures 1
% 11.97/2.18 EPR 1
% 11.97/2.18 Horn 6
% 11.97/2.18 unary 6
% 11.97/2.18 binary 0
% 11.97/2.18 lits 6
% 11.97/2.18 lits eq 6
% 11.97/2.18 fd_pure 0
% 11.97/2.18 fd_pseudo 0
% 11.97/2.18 fd_cond 0
% 11.97/2.18 fd_pseudo_cond 0
% 11.97/2.18 AC symbols 0
% 11.97/2.18
% 11.97/2.18 ------ Input Options Time Limit: Unbounded
% 11.97/2.18
% 11.97/2.18
% 11.97/2.18 ------
% 11.97/2.18 Current options:
% 11.97/2.18 ------
% 11.97/2.18
% 11.97/2.18
% 11.97/2.18
% 11.97/2.18
% 11.97/2.18 ------ Proving...
% 11.97/2.18
% 11.97/2.18
% 11.97/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 11.97/2.18
% 11.97/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.97/2.18
% 11.97/2.19
%------------------------------------------------------------------------------