TSTP Solution File: GRP059-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP059-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 : Mon Jun 24 06:57:45 EDT 2024
% Result : Unsatisfiable 17.41s 3.27s
% Output : CNFRefutation 17.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_67,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_68,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_69,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_70,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_71,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_72,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_73,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_74,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_75,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_76,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_77,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_78,negated_conjecture,
( sP2_iProver_def != a2
| sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_50,c_76,c_77,c_74,c_75,c_72,c_73,c_70,c_71,c_67,c_68,c_69]) ).
cnf(c_138,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP3_iProver_def,X0)),a3),b3),multiply(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_70,c_49]) ).
cnf(c_139,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_72,c_49]) ).
cnf(c_140,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X0)),sP0_iProver_def),b2),multiply(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_68,c_49]) ).
cnf(c_143,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP6_iProver_def,X0)),a3),sP5_iProver_def),multiply(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_73,c_49]) ).
cnf(c_147,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(a1,sP7_iProver_def))) = X2,
inference(superposition,[status(thm)],[c_74,c_49]) ).
cnf(c_150,plain,
inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_165,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(X0,inverse(X0)))) = c3,
inference(superposition,[status(thm)],[c_71,c_138]) ).
cnf(c_191,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(a1,sP7_iProver_def))) = c3,
inference(superposition,[status(thm)],[c_74,c_165]) ).
cnf(c_192,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(b1,sP9_iProver_def))) = c3,
inference(superposition,[status(thm)],[c_76,c_165]) ).
cnf(c_193,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(b2,sP0_iProver_def))) = c3,
inference(superposition,[status(thm)],[c_67,c_165]) ).
cnf(c_226,plain,
inverse(multiply(multiply(multiply(c3,multiply(inverse(sP4_iProver_def),a3)),b3),multiply(X0,inverse(X0)))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_191,c_49]) ).
cnf(c_247,plain,
inverse(multiply(multiply(multiply(c3,multiply(inverse(sP4_iProver_def),a3)),b3),multiply(X0,inverse(X0)))) = multiply(b1,sP9_iProver_def),
inference(superposition,[status(thm)],[c_192,c_49]) ).
cnf(c_251,plain,
multiply(a1,sP7_iProver_def) = multiply(b1,sP9_iProver_def),
inference(light_normalisation,[status(thm)],[c_247,c_226]) ).
cnf(c_257,plain,
inverse(multiply(multiply(multiply(c3,multiply(inverse(sP4_iProver_def),a3)),b3),multiply(X0,inverse(X0)))) = multiply(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_193,c_49]) ).
cnf(c_261,plain,
multiply(a1,sP7_iProver_def) = multiply(b2,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_257,c_226]) ).
cnf(c_310,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(b2,sP0_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_67,c_139]) ).
cnf(c_321,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(a1,sP7_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_310,c_261]) ).
cnf(c_354,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(a1,sP7_iProver_def)),X0))) = c3,
inference(superposition,[status(thm)],[c_321,c_165]) ).
cnf(c_376,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X0)),sP0_iProver_def),b2),multiply(b2,sP0_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_67,c_140]) ).
cnf(c_377,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X0)),sP0_iProver_def),b2),multiply(multiply(multiply(multiply(inverse(multiply(sP3_iProver_def,X1)),a3),b3),multiply(X2,inverse(X2))),X1))) = X0,
inference(superposition,[status(thm)],[c_138,c_140]) ).
cnf(c_387,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X0)),sP0_iProver_def),b2),multiply(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X1)),sP0_iProver_def),b2),multiply(X2,inverse(X2))),X1))) = X0,
inference(superposition,[status(thm)],[c_140,c_140]) ).
cnf(c_388,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X1)),sP0_iProver_def),b2),multiply(X2,inverse(X2))),X1))) = X0,
inference(superposition,[status(thm)],[c_140,c_139]) ).
cnf(c_390,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X0)),sP0_iProver_def),b2),multiply(a1,sP7_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_376,c_261]) ).
cnf(c_541,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X1)),sP0_iProver_def),b2),multiply(a1,sP7_iProver_def)),X1))) = X0,
inference(superposition,[status(thm)],[c_390,c_139]) ).
cnf(c_868,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP6_iProver_def,X0)),a3),sP5_iProver_def),multiply(b2,sP0_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_67,c_143]) ).
cnf(c_894,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP6_iProver_def,X0)),a3),sP5_iProver_def),multiply(a1,sP7_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_868,c_261]) ).
cnf(c_1604,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(a1,sP7_iProver_def),X0)),b1),sP9_iProver_def),multiply(a1,sP7_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_251,c_147]) ).
cnf(c_1606,plain,
inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(a1,sP7_iProver_def))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_147,c_147]) ).
cnf(c_1607,plain,
inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_147,c_49]) ).
cnf(c_1768,plain,
multiply(X0,inverse(X0)) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_150,c_1607]) ).
cnf(c_1782,plain,
multiply(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(a1,sP7_iProver_def)),X2) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_147,c_1768]) ).
cnf(c_1793,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(a1,sP7_iProver_def),X0)),X1),inverse(X1)),multiply(a1,sP7_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_1768,c_147]) ).
cnf(c_1794,plain,
inverse(multiply(multiply(multiply(inverse(multiply(a1,sP7_iProver_def)),X0),X1),multiply(a1,sP7_iProver_def))) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_1768,c_147]) ).
cnf(c_2006,plain,
multiply(multiply(multiply(multiply(inverse(multiply(multiply(a1,sP7_iProver_def),X0)),X1),inverse(X1)),multiply(a1,sP7_iProver_def)),X0) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_1793,c_1768]) ).
cnf(c_2018,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(a1,sP7_iProver_def)),X0)))) = inverse(multiply(multiply(a1,sP7_iProver_def),multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_1768,c_1794]) ).
cnf(c_2019,plain,
inverse(multiply(multiply(multiply(a1,sP7_iProver_def),X0),multiply(a1,sP7_iProver_def))) = inverse(multiply(inverse(inverse(multiply(a1,sP7_iProver_def))),X0)),
inference(superposition,[status(thm)],[c_1768,c_1794]) ).
cnf(c_2318,plain,
inverse(multiply(inverse(inverse(multiply(a1,sP7_iProver_def))),inverse(multiply(a1,sP7_iProver_def)))) = inverse(multiply(multiply(a1,sP7_iProver_def),multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_1768,c_2018]) ).
cnf(c_3682,plain,
inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(a1,sP7_iProver_def)))),X0),X1)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_1606,c_1794]) ).
cnf(c_4318,plain,
inverse(multiply(multiply(inverse(multiply(a1,sP7_iProver_def)),a1),sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_1768,c_3682]) ).
cnf(c_4341,plain,
inverse(multiply(multiply(inverse(multiply(multiply(a1,sP7_iProver_def),inverse(multiply(a1,sP7_iProver_def)))),X0),inverse(X0))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_1768,c_3682]) ).
cnf(c_4375,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),inverse(multiply(multiply(X0,X1),inverse(multiply(a1,sP7_iProver_def))))),X0),multiply(a1,sP7_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_3682,c_147]) ).
cnf(c_4498,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),inverse(multiply(a1,sP7_iProver_def))),a1),multiply(a1,sP7_iProver_def))) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_4318,c_147]) ).
cnf(c_4529,plain,
inverse(multiply(inverse(inverse(multiply(a1,sP7_iProver_def))),a1)) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_4498,c_1768,c_2019]) ).
cnf(c_4724,plain,
inverse(multiply(multiply(inverse(multiply(a1,sP7_iProver_def)),X0),inverse(X0))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4341,c_1768]) ).
cnf(c_4791,plain,
multiply(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),inverse(multiply(a1,sP7_iProver_def))),X0),multiply(a1,sP7_iProver_def)),inverse(X0)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_4724,c_1782]) ).
cnf(c_4792,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),inverse(multiply(a1,sP7_iProver_def))),X0),multiply(a1,sP7_iProver_def))) = inverse(X0),
inference(superposition,[status(thm)],[c_4724,c_147]) ).
cnf(c_4794,plain,
multiply(multiply(multiply(inverse(multiply(a1,sP7_iProver_def)),X0),inverse(X0)),multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_4724,c_1768]) ).
cnf(c_4797,plain,
inverse(multiply(multiply(multiply(a1,sP7_iProver_def),inverse(multiply(a1,sP7_iProver_def))),multiply(a1,sP7_iProver_def))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_4724,c_3682]) ).
cnf(c_5451,plain,
inverse(multiply(multiply(a1,sP7_iProver_def),multiply(a1,sP7_iProver_def))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4797,c_2019,c_2318]) ).
cnf(c_5453,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(a1,sP7_iProver_def)),X0)))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_2018,c_5451]) ).
cnf(c_5468,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),b1),sP9_iProver_def),multiply(a1,sP7_iProver_def))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_5451,c_1604]) ).
cnf(c_5474,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),X0),X1),multiply(a1,sP7_iProver_def))) = inverse(multiply(inverse(multiply(a1,sP7_iProver_def)),multiply(X0,X1))),
inference(superposition,[status(thm)],[c_5453,c_147]) ).
cnf(c_5510,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),b1),sP9_iProver_def),multiply(a1,sP7_iProver_def))) = inverse(multiply(inverse(multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_5453,c_1604]) ).
cnf(c_5512,plain,
inverse(multiply(inverse(multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def))) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_5510,c_5468]) ).
cnf(c_5599,plain,
multiply(multiply(inverse(multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_5512,c_1768]) ).
cnf(c_5913,plain,
inverse(multiply(inverse(multiply(a1,sP7_iProver_def)),multiply(inverse(multiply(a1,sP7_iProver_def)),X0))) = inverse(X0),
inference(demodulation,[status(thm)],[c_4792,c_5474]) ).
cnf(c_5914,plain,
inverse(multiply(inverse(multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def))) = inverse(inverse(inverse(multiply(a1,sP7_iProver_def)))),
inference(superposition,[status(thm)],[c_1768,c_5913]) ).
cnf(c_5921,plain,
inverse(inverse(inverse(multiply(a1,sP7_iProver_def)))) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_5914,c_5512]) ).
cnf(c_8178,plain,
multiply(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),X0),inverse(X0)),multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_5451,c_2006]) ).
cnf(c_10849,plain,
multiply(multiply(multiply(multiply(a1,sP7_iProver_def),X0),multiply(a1,sP7_iProver_def)),inverse(X0)) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4791,c_1768]) ).
cnf(c_10852,plain,
multiply(multiply(multiply(a1,sP7_iProver_def),multiply(a1,sP7_iProver_def)),inverse(inverse(multiply(a1,sP7_iProver_def)))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_1768,c_10849]) ).
cnf(c_11317,plain,
inverse(multiply(multiply(multiply(inverse(multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def))) = inverse(inverse(multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_10852,c_147]) ).
cnf(c_11320,plain,
inverse(inverse(multiply(a1,sP7_iProver_def))) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_11317,c_5451,c_5599]) ).
cnf(c_11329,plain,
inverse(multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_5921,c_11320]) ).
cnf(c_11337,plain,
inverse(multiply(multiply(a1,sP7_iProver_def),a1)) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_4529,c_11320]) ).
cnf(c_11339,plain,
inverse(multiply(multiply(multiply(a1,sP7_iProver_def),X0),multiply(a1,sP7_iProver_def))) = inverse(multiply(multiply(a1,sP7_iProver_def),X0)),
inference(demodulation,[status(thm)],[c_2019,c_11320]) ).
cnf(c_11374,plain,
inverse(multiply(multiply(a1,sP7_iProver_def),multiply(multiply(a1,sP7_iProver_def),X0))) = inverse(X0),
inference(demodulation,[status(thm)],[c_5913,c_11329]) ).
cnf(c_11386,plain,
inverse(multiply(X0,inverse(multiply(multiply(a1,sP7_iProver_def),X0)))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_5453,c_11329]) ).
cnf(c_11387,plain,
multiply(multiply(multiply(multiply(a1,sP7_iProver_def),X0),inverse(X0)),multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4794,c_11329]) ).
cnf(c_11388,plain,
inverse(multiply(multiply(multiply(a1,sP7_iProver_def),X0),inverse(X0))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4724,c_11329]) ).
cnf(c_11429,plain,
multiply(multiply(a1,sP7_iProver_def),multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_8178,c_11387]) ).
cnf(c_11680,plain,
inverse(multiply(multiply(multiply(sP7_iProver_def,a1),sP7_iProver_def),multiply(a1,sP7_iProver_def))) = a1,
inference(superposition,[status(thm)],[c_11337,c_147]) ).
cnf(c_11691,plain,
inverse(multiply(multiply(multiply(sP7_iProver_def,X0),inverse(X0)),multiply(a1,sP7_iProver_def))) = a1,
inference(superposition,[status(thm)],[c_11337,c_1793]) ).
cnf(c_11694,plain,
inverse(multiply(multiply(sP8_iProver_def,sP7_iProver_def),multiply(a1,sP7_iProver_def))) = a1,
inference(light_normalisation,[status(thm)],[c_11680,c_75]) ).
cnf(c_11973,plain,
inverse(multiply(multiply(multiply(inverse(X0),a1),sP7_iProver_def),multiply(a1,sP7_iProver_def))) = multiply(multiply(a1,sP7_iProver_def),X0),
inference(superposition,[status(thm)],[c_11374,c_147]) ).
cnf(c_11984,plain,
inverse(multiply(multiply(multiply(inverse(X0),X1),inverse(X1)),multiply(a1,sP7_iProver_def))) = multiply(multiply(a1,sP7_iProver_def),X0),
inference(superposition,[status(thm)],[c_11374,c_1793]) ).
cnf(c_11988,plain,
multiply(multiply(a1,sP7_iProver_def),multiply(multiply(a1,sP7_iProver_def),X0)) = X0,
inference(demodulation,[status(thm)],[c_1793,c_11984]) ).
cnf(c_12082,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(a1,sP7_iProver_def)),multiply(multiply(a1,sP7_iProver_def),X0)),multiply(a1,sP7_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_11988,c_147]) ).
cnf(c_12132,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),a3),sP5_iProver_def),multiply(a1,sP7_iProver_def))) = inverse(multiply(multiply(a1,sP7_iProver_def),sP6_iProver_def)),
inference(superposition,[status(thm)],[c_11386,c_894]) ).
cnf(c_12803,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),multiply(a1,sP7_iProver_def)),X0),multiply(a1,sP7_iProver_def))) = inverse(X0),
inference(superposition,[status(thm)],[c_11388,c_147]) ).
cnf(c_12812,plain,
inverse(multiply(multiply(a1,sP7_iProver_def),X0)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_12803,c_11429,c_11339]) ).
cnf(c_12918,plain,
inverse(multiply(multiply(multiply(inverse(X0),a1),sP7_iProver_def),multiply(a1,sP7_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_12812,c_147]) ).
cnf(c_12920,plain,
inverse(multiply(multiply(multiply(inverse(X0),a1),sP7_iProver_def),multiply(a1,sP7_iProver_def))) = multiply(multiply(a1,sP7_iProver_def),multiply(multiply(a1,sP7_iProver_def),X0)),
inference(superposition,[status(thm)],[c_12812,c_11973]) ).
cnf(c_12921,plain,
multiply(multiply(multiply(multiply(a1,sP7_iProver_def),multiply(multiply(a1,sP7_iProver_def),X0)),multiply(a1,sP7_iProver_def)),inverse(X0)) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_12812,c_10849]) ).
cnf(c_12926,plain,
multiply(multiply(X0,multiply(a1,sP7_iProver_def)),inverse(X0)) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_12921,c_11988]) ).
cnf(c_12927,plain,
multiply(multiply(a1,sP7_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_12920,c_11973,c_11988]) ).
cnf(c_12943,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(a1,sP7_iProver_def)),X0),multiply(a1,sP7_iProver_def))) = X1,
inference(superposition,[status(thm)],[c_12927,c_147]) ).
cnf(c_13025,plain,
inverse(multiply(multiply(multiply(inverse(multiply(a1,sP7_iProver_def)),X0),multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def))) = inverse(X0),
inference(superposition,[status(thm)],[c_12926,c_147]) ).
cnf(c_13028,plain,
inverse(multiply(multiply(X0,multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_13025,c_11329,c_12927]) ).
cnf(c_13428,plain,
multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(a1,sP7_iProver_def)) = inverse(multiply(multiply(multiply(X0,a1),sP7_iProver_def),multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_321,c_12918]) ).
cnf(c_13463,plain,
multiply(multiply(multiply(inverse(X0),a1),sP7_iProver_def),multiply(a1,sP7_iProver_def)) = inverse(multiply(multiply(multiply(X0,a1),sP7_iProver_def),multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_12918,c_12918]) ).
cnf(c_13500,plain,
multiply(multiply(multiply(inverse(inverse(X0)),a1),sP7_iProver_def),multiply(a1,sP7_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_12918,c_13463]) ).
cnf(c_13645,plain,
inverse(multiply(multiply(multiply(a1,sP7_iProver_def),inverse(inverse(sP7_iProver_def))),multiply(a1,sP7_iProver_def))) = a1,
inference(superposition,[status(thm)],[c_1768,c_11691]) ).
cnf(c_13747,plain,
multiply(multiply(multiply(inverse(inverse(X0)),a1),sP7_iProver_def),multiply(a1,sP7_iProver_def)) = multiply(multiply(X0,multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def)),
inference(superposition,[status(thm)],[c_13028,c_13500]) ).
cnf(c_13759,plain,
multiply(multiply(X0,multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_13747,c_13500]) ).
cnf(c_13816,plain,
multiply(multiply(inverse(inverse(X0)),a1),sP7_iProver_def) = multiply(X0,multiply(a1,sP7_iProver_def)),
inference(superposition,[status(thm)],[c_13500,c_13759]) ).
cnf(c_13819,plain,
multiply(X0,inverse(multiply(X0,multiply(a1,sP7_iProver_def)))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_13759,c_12926]) ).
cnf(c_13840,plain,
multiply(multiply(sP8_iProver_def,sP7_iProver_def),a1) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_11694,c_13819]) ).
cnf(c_13870,plain,
inverse(inverse(inverse(sP7_iProver_def))) = a1,
inference(demodulation,[status(thm)],[c_13645,c_11339,c_12927]) ).
cnf(c_13872,plain,
multiply(inverse(inverse(sP7_iProver_def)),a1) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_13870,c_1768]) ).
cnf(c_13880,plain,
multiply(multiply(a1,sP7_iProver_def),sP7_iProver_def) = multiply(sP7_iProver_def,multiply(a1,sP7_iProver_def)),
inference(superposition,[status(thm)],[c_13872,c_13816]) ).
cnf(c_13895,plain,
multiply(inverse(inverse(sP7_iProver_def)),multiply(a1,sP7_iProver_def)) = multiply(multiply(inverse(a1),a1),sP7_iProver_def),
inference(superposition,[status(thm)],[c_13870,c_13816]) ).
cnf(c_13896,plain,
multiply(inverse(inverse(sP7_iProver_def)),multiply(a1,sP7_iProver_def)) = multiply(sP8_iProver_def,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_13895,c_74,c_75]) ).
cnf(c_13931,plain,
multiply(sP7_iProver_def,multiply(a1,sP7_iProver_def)) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_13880,c_12927]) ).
cnf(c_13996,plain,
inverse(multiply(inverse(multiply(multiply(a1,sP7_iProver_def),X0)),multiply(a1,sP7_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_13759,c_12943]) ).
cnf(c_14009,plain,
inverse(multiply(multiply(multiply(inverse(sP6_iProver_def),multiply(a1,sP7_iProver_def)),a3),multiply(a1,sP7_iProver_def))) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_73,c_12943]) ).
cnf(c_14055,plain,
inverse(multiply(inverse(X0),multiply(a1,sP7_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_13996,c_12927]) ).
cnf(c_14201,plain,
multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(a1,sP7_iProver_def)),X0),multiply(a1,sP7_iProver_def)) = inverse(multiply(X1,multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_12943,c_14055]) ).
cnf(c_14205,plain,
multiply(inverse(X0),multiply(a1,sP7_iProver_def)) = inverse(multiply(X0,multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_14055,c_14055]) ).
cnf(c_14209,plain,
multiply(multiply(inverse(X0),multiply(a1,sP7_iProver_def)),X0) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_14055,c_1768]) ).
cnf(c_14211,plain,
multiply(inverse(X0),X0) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_14055,c_13819]) ).
cnf(c_14223,plain,
inverse(inverse(multiply(X0,multiply(a1,sP7_iProver_def)))) = X0,
inference(demodulation,[status(thm)],[c_12943,c_14201]) ).
cnf(c_14225,plain,
multiply(inverse(inverse(X0)),multiply(a1,sP7_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_14055,c_14205]) ).
cnf(c_14226,plain,
multiply(sP8_iProver_def,sP7_iProver_def) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_13896,c_14225]) ).
cnf(c_14228,plain,
multiply(a1,sP7_iProver_def) = multiply(sP7_iProver_def,a1),
inference(demodulation,[status(thm)],[c_13840,c_14226]) ).
cnf(c_14229,plain,
multiply(a1,sP7_iProver_def) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_14228,c_75]) ).
cnf(c_14234,plain,
multiply(sP7_iProver_def,sP8_iProver_def) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_13931,c_14229]) ).
cnf(c_14249,plain,
multiply(multiply(X0,sP8_iProver_def),sP8_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_13759,c_14229]) ).
cnf(c_14252,plain,
multiply(sP8_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_12927,c_14229]) ).
cnf(c_14256,plain,
inverse(sP8_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_11329,c_14229]) ).
cnf(c_14257,plain,
multiply(X0,inverse(X0)) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_1768,c_14229]) ).
cnf(c_14509,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(multiply(multiply(multiply(inverse(X0),a1),sP7_iProver_def),sP8_iProver_def),X0))) = c3,
inference(light_normalisation,[status(thm)],[c_354,c_13428,c_13463,c_14229]) ).
cnf(c_14511,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(multiply(multiply(multiply(sP7_iProver_def,a1),sP7_iProver_def),sP8_iProver_def),a1))) = c3,
inference(superposition,[status(thm)],[c_74,c_14509]) ).
cnf(c_14532,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(multiply(multiply(sP8_iProver_def,sP7_iProver_def),sP8_iProver_def),a1))) = c3,
inference(light_normalisation,[status(thm)],[c_14511,c_75]) ).
cnf(c_14552,plain,
inverse(multiply(multiply(multiply(inverse(sP6_iProver_def),sP8_iProver_def),a3),sP8_iProver_def)) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_14009,c_14229]) ).
cnf(c_14555,plain,
multiply(inverse(X0),X0) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_14211,c_14229]) ).
cnf(c_14557,plain,
multiply(sP9_iProver_def,b1) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_76,c_14555]) ).
cnf(c_14558,plain,
multiply(sP0_iProver_def,b2) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_67,c_14555]) ).
cnf(c_14578,plain,
sP1_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_14558,c_68]) ).
cnf(c_14580,plain,
sP8_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_77,c_14557]) ).
cnf(c_14581,plain,
( a2 != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_78,c_14580]) ).
cnf(c_14585,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14555,c_14578]) ).
cnf(c_14586,plain,
inverse(multiply(multiply(multiply(inverse(sP6_iProver_def),sP1_iProver_def),a3),sP1_iProver_def)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_14552,c_14578]) ).
cnf(c_14600,plain,
multiply(multiply(X0,sP1_iProver_def),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_14249,c_14578]) ).
cnf(c_14608,plain,
multiply(X0,inverse(X0)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14257,c_14578]) ).
cnf(c_14611,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_14252,c_14578]) ).
cnf(c_14612,plain,
multiply(sP7_iProver_def,sP1_iProver_def) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_14234,c_14578]) ).
cnf(c_14613,plain,
multiply(a1,sP7_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14229,c_14578]) ).
cnf(c_14614,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14256,c_14578]) ).
cnf(c_14615,plain,
multiply(sP7_iProver_def,a1) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_75,c_14578]) ).
cnf(c_14616,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_69,c_14611]) ).
cnf(c_14617,plain,
sP4_iProver_def != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_14581,c_14616]) ).
cnf(c_14631,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),multiply(multiply(multiply(sP1_iProver_def,sP7_iProver_def),sP1_iProver_def),a1))) = c3,
inference(light_normalisation,[status(thm)],[c_14532,c_14578]) ).
cnf(c_14632,plain,
inverse(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),sP1_iProver_def)) = c3,
inference(demodulation,[status(thm)],[c_14631,c_14611,c_14612,c_14615]) ).
cnf(c_14713,plain,
multiply(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),sP1_iProver_def),c3) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_14632,c_14608]) ).
cnf(c_14741,plain,
multiply(multiply(inverse(X0),sP1_iProver_def),X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_14209,c_14613]) ).
cnf(c_14820,plain,
inverse(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),multiply(multiply(multiply(multiply(inverse(multiply(sP3_iProver_def,X1)),a3),b3),multiply(X2,inverse(X2))),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_377,c_14611]) ).
cnf(c_14821,plain,
inverse(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),multiply(multiply(multiply(multiply(inverse(multiply(sP3_iProver_def,X1)),a3),b3),sP1_iProver_def),X1))) = X0,
inference(demodulation,[status(thm)],[c_14820,c_14608]) ).
cnf(c_14841,plain,
inverse(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),multiply(multiply(multiply(multiply(inverse(sP4_iProver_def),a3),b3),sP1_iProver_def),c3))) = X0,
inference(superposition,[status(thm)],[c_71,c_14821]) ).
cnf(c_14847,plain,
inverse(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),sP1_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_14841,c_14713]) ).
cnf(c_15636,plain,
inverse(multiply(inverse(X0),sP1_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_14223,c_14205,c_14613]) ).
cnf(c_15657,plain,
multiply(inverse(X0),sP1_iProver_def) = inverse(multiply(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_15636,c_15636]) ).
cnf(c_15677,plain,
multiply(inverse(inverse(X0)),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_15636,c_15657]) ).
cnf(c_15742,plain,
multiply(X0,sP1_iProver_def) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_15677,c_14600]) ).
cnf(c_16269,plain,
inverse(multiply(multiply(multiply(sP1_iProver_def,a3),sP5_iProver_def),sP1_iProver_def)) = inverse(multiply(sP1_iProver_def,sP6_iProver_def)),
inference(light_normalisation,[status(thm)],[c_12132,c_14613]) ).
cnf(c_16270,plain,
multiply(inverse(sP6_iProver_def),sP1_iProver_def) = inverse(sP6_iProver_def),
inference(demodulation,[status(thm)],[c_16269,c_73,c_14611,c_15657]) ).
cnf(c_16351,plain,
inverse(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),multiply(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X1)),sP0_iProver_def),b2),multiply(X2,inverse(X2))),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_387,c_14611]) ).
cnf(c_16352,plain,
inverse(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),multiply(multiply(multiply(multiply(inverse(X1),sP0_iProver_def),b2),sP1_iProver_def),X1))) = X0,
inference(demodulation,[status(thm)],[c_16351,c_14608,c_14611]) ).
cnf(c_17160,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(multiply(multiply(multiply(inverse(X1),sP0_iProver_def),b2),sP1_iProver_def),X1))) = X0,
inference(demodulation,[status(thm)],[c_388,c_14608,c_14611]) ).
cnf(c_17162,plain,
inverse(multiply(multiply(multiply(inverse(sP1_iProver_def),b3),c3),multiply(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),sP1_iProver_def),X0))) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_14608,c_17160]) ).
cnf(c_17197,plain,
inverse(multiply(multiply(multiply(sP1_iProver_def,b3),c3),multiply(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),sP1_iProver_def),X0))) = inverse(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_17162,c_14614]) ).
cnf(c_17742,plain,
inverse(multiply(multiply(inverse(sP6_iProver_def),a3),sP1_iProver_def)) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_14586,c_16270]) ).
cnf(c_17743,plain,
multiply(inverse(multiply(inverse(sP6_iProver_def),a3)),sP1_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_17742,c_15657]) ).
cnf(c_17753,plain,
multiply(sP5_iProver_def,multiply(inverse(sP6_iProver_def),a3)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_17743,c_14741]) ).
cnf(c_17785,plain,
inverse(multiply(multiply(multiply(inverse(sP1_iProver_def),b3),c3),multiply(multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),sP1_iProver_def),X0))) = multiply(inverse(sP6_iProver_def),a3),
inference(superposition,[status(thm)],[c_17753,c_17160]) ).
cnf(c_17786,plain,
multiply(inverse(sP6_iProver_def),a3) = inverse(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_17785,c_14614,c_17197]) ).
cnf(c_18035,plain,
multiply(inverse(multiply(multiply(inverse(X0),sP0_iProver_def),b2)),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_14847,c_15657]) ).
cnf(c_18046,plain,
multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),multiply(multiply(multiply(multiply(inverse(X1),sP0_iProver_def),b2),sP1_iProver_def),X1)) = multiply(inverse(multiply(multiply(X0,sP0_iProver_def),b2)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_16352,c_18035]) ).
cnf(c_18057,plain,
inverse(multiply(multiply(inverse(X0),sP0_iProver_def),b2)) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_18035,c_14600]) ).
cnf(c_18061,plain,
multiply(X0,multiply(multiply(inverse(X0),sP0_iProver_def),b2)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_18035,c_14741]) ).
cnf(c_18063,plain,
inverse(multiply(inverse(multiply(multiply(X0,sP0_iProver_def),b2)),sP1_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_16352,c_18046]) ).
cnf(c_18399,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),sP1_iProver_def),X0),sP1_iProver_def)) = X1,
inference(light_normalisation,[status(thm)],[c_12082,c_14611,c_14613]) ).
cnf(c_18400,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X0,X1)),sP1_iProver_def),X0)),sP1_iProver_def) = X1,
inference(demodulation,[status(thm)],[c_18399,c_15657]) ).
cnf(c_18425,plain,
multiply(inverse(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(X0))),sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_14585,c_18400]) ).
cnf(c_18470,plain,
multiply(inverse(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X0)),sP1_iProver_def) = multiply(multiply(inverse(X0),sP0_iProver_def),b2),
inference(superposition,[status(thm)],[c_18061,c_18400]) ).
cnf(c_18505,plain,
multiply(inverse(multiply(multiply(sP1_iProver_def,sP1_iProver_def),inverse(X0))),sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_18425,c_14614]) ).
cnf(c_18528,plain,
multiply(inverse(multiply(multiply(sP1_iProver_def,sP1_iProver_def),X0)),sP1_iProver_def) = multiply(multiply(inverse(X0),sP0_iProver_def),b2),
inference(light_normalisation,[status(thm)],[c_18470,c_14614]) ).
cnf(c_20153,plain,
multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),sP1_iProver_def) = inverse(multiply(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_18057,c_15742]) ).
cnf(c_20162,plain,
multiply(multiply(multiply(inverse(X0),sP0_iProver_def),b2),sP1_iProver_def) = multiply(inverse(X0),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_20153,c_15657]) ).
cnf(c_20181,plain,
multiply(multiply(X0,sP0_iProver_def),b2) = X0,
inference(demodulation,[status(thm)],[c_18063,c_14600,c_15657,c_15742]) ).
cnf(c_20270,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_18505,c_15742,c_18528,c_20181]) ).
cnf(c_20275,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_15742,c_20270]) ).
cnf(c_20481,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,X1)),sP0_iProver_def),b2),sP1_iProver_def),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_541,c_14613]) ).
cnf(c_20482,plain,
inverse(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3)) = X0,
inference(demodulation,[status(thm)],[c_20481,c_14585,c_14611,c_20162,c_20270]) ).
cnf(c_20485,plain,
multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3) = inverse(X0),
inference(superposition,[status(thm)],[c_20482,c_20275]) ).
cnf(c_25562,plain,
inverse(multiply(multiply(multiply(sP1_iProver_def,inverse(multiply(multiply(X0,X1),sP1_iProver_def))),X0),sP1_iProver_def)) = X1,
inference(light_normalisation,[status(thm)],[c_4375,c_14613,c_14614]) ).
cnf(c_25563,plain,
inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
inference(demodulation,[status(thm)],[c_25562,c_14611,c_20270]) ).
cnf(c_25608,plain,
inverse(multiply(inverse(inverse(sP5_iProver_def)),inverse(sP6_iProver_def))) = a3,
inference(superposition,[status(thm)],[c_17786,c_25563]) ).
cnf(c_29435,plain,
inverse(multiply(sP5_iProver_def,inverse(sP6_iProver_def))) = a3,
inference(demodulation,[status(thm)],[c_25608,c_20275]) ).
cnf(c_29460,plain,
multiply(multiply(a3,b3),c3) = inverse(inverse(sP6_iProver_def)),
inference(superposition,[status(thm)],[c_29435,c_20485]) ).
cnf(c_29461,plain,
inverse(inverse(sP6_iProver_def)) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_29460,c_70,c_71]) ).
cnf(c_29593,plain,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_29461,c_20275]) ).
cnf(c_29594,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_29593,c_14617]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : GRP059-1 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Jun 20 08:19:39 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.41/3.27 % SZS status Started for theBenchmark.p
% 17.41/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 17.41/3.27
% 17.41/3.27 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.41/3.27
% 17.41/3.27 ------ iProver source info
% 17.41/3.27
% 17.41/3.27 git: date: 2024-06-12 09:56:46 +0000
% 17.41/3.27 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 17.41/3.27 git: non_committed_changes: false
% 17.41/3.27
% 17.41/3.27 ------ Parsing...successful
% 17.41/3.27
% 17.41/3.27
% 17.41/3.27
% 17.41/3.27 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 17.41/3.27
% 17.41/3.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.41/3.27
% 17.41/3.27 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 17.41/3.27 ------ Proving...
% 17.41/3.27 ------ Problem Properties
% 17.41/3.27
% 17.41/3.27
% 17.41/3.27 clauses 13
% 17.41/3.27 conjectures 1
% 17.41/3.27 EPR 1
% 17.41/3.27 Horn 13
% 17.41/3.27 unary 12
% 17.41/3.27 binary 0
% 17.41/3.27 lits 15
% 17.41/3.27 lits eq 15
% 17.41/3.27 fd_pure 0
% 17.41/3.27 fd_pseudo 0
% 17.41/3.27 fd_cond 0
% 17.41/3.27 fd_pseudo_cond 0
% 17.41/3.27 AC symbols 0
% 17.41/3.27
% 17.41/3.27 ------ Schedule dynamic 5 is on
% 17.41/3.27
% 17.41/3.27 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.41/3.27
% 17.41/3.27
% 17.41/3.27 ------
% 17.41/3.27 Current options:
% 17.41/3.27 ------
% 17.41/3.27
% 17.41/3.27
% 17.41/3.27
% 17.41/3.27
% 17.41/3.27 ------ Proving...
% 17.41/3.27
% 17.41/3.27
% 17.41/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 17.41/3.27
% 17.41/3.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.41/3.27
% 17.41/3.28
%------------------------------------------------------------------------------