TSTP Solution File: GRP059-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP059-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:20:37 EDT 2024
% Result : Unsatisfiable 10.19s 2.15s
% Output : CNFRefutation 10.19s
% 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_141,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP2_iProver_def,X0)),sP1_iProver_def),a2),multiply(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_69,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_355,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X1)),b3),c3),multiply(a1,sP7_iProver_def)),X1))) = X0,
inference(superposition,[status(thm)],[c_321,c_139]) ).
cnf(c_372,plain,
inverse(multiply(multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2),multiply(X0,inverse(X0)))) = a2,
inference(superposition,[status(thm)],[c_69,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_440,plain,
inverse(multiply(multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2),multiply(b2,sP0_iProver_def))) = a2,
inference(superposition,[status(thm)],[c_67,c_372]) ).
cnf(c_454,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(multiply(multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2),multiply(X1,inverse(X1))),a2))) = X0,
inference(superposition,[status(thm)],[c_372,c_139]) ).
cnf(c_456,plain,
inverse(multiply(multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2),multiply(a1,sP7_iProver_def))) = a2,
inference(light_normalisation,[status(thm)],[c_440,c_261]) ).
cnf(c_573,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP2_iProver_def,X0)),sP1_iProver_def),a2),multiply(b2,sP0_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_67,c_141]) ).
cnf(c_593,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP2_iProver_def,X0)),sP1_iProver_def),a2),multiply(a1,sP7_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_573,c_261]) ).
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_2377,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_3700,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_4326,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_3700]) ).
cnf(c_4349,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_3700]) ).
cnf(c_4506,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_4326,c_147]) ).
cnf(c_4537,plain,
inverse(multiply(inverse(inverse(multiply(a1,sP7_iProver_def))),a1)) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_4506,c_1768,c_2019]) ).
cnf(c_4732,plain,
inverse(multiply(multiply(inverse(multiply(a1,sP7_iProver_def)),X0),inverse(X0))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4349,c_1768]) ).
cnf(c_4799,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_4732,c_1782]) ).
cnf(c_4800,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_4732,c_147]) ).
cnf(c_4802,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_4732,c_1768]) ).
cnf(c_4805,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_4732,c_3700]) ).
cnf(c_5459,plain,
inverse(multiply(multiply(a1,sP7_iProver_def),multiply(a1,sP7_iProver_def))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4805,c_2019,c_2377]) ).
cnf(c_5461,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_5459]) ).
cnf(c_5476,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_5459,c_1604]) ).
cnf(c_5493,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_5461,c_147]) ).
cnf(c_5529,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_5461,c_1604]) ).
cnf(c_5531,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_5529,c_5476]) ).
cnf(c_5672,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_5531,c_1768]) ).
cnf(c_6036,plain,
inverse(multiply(inverse(multiply(a1,sP7_iProver_def)),multiply(inverse(multiply(a1,sP7_iProver_def)),X0))) = inverse(X0),
inference(demodulation,[status(thm)],[c_4800,c_5493]) ).
cnf(c_6037,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_6036]) ).
cnf(c_6044,plain,
inverse(inverse(inverse(multiply(a1,sP7_iProver_def)))) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_6037,c_5531]) ).
cnf(c_8301,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_5459,c_2006]) ).
cnf(c_10992,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_4799,c_1768]) ).
cnf(c_10995,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_10992]) ).
cnf(c_11486,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_10995,c_147]) ).
cnf(c_11489,plain,
inverse(inverse(multiply(a1,sP7_iProver_def))) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_11486,c_5459,c_5672]) ).
cnf(c_11498,plain,
inverse(multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_6044,c_11489]) ).
cnf(c_11506,plain,
inverse(multiply(multiply(a1,sP7_iProver_def),a1)) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_4537,c_11489]) ).
cnf(c_11508,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_11489]) ).
cnf(c_11543,plain,
inverse(multiply(multiply(a1,sP7_iProver_def),multiply(multiply(a1,sP7_iProver_def),X0))) = inverse(X0),
inference(demodulation,[status(thm)],[c_6036,c_11498]) ).
cnf(c_11555,plain,
inverse(multiply(X0,inverse(multiply(multiply(a1,sP7_iProver_def),X0)))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_5461,c_11498]) ).
cnf(c_11556,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_4802,c_11498]) ).
cnf(c_11557,plain,
inverse(multiply(multiply(multiply(a1,sP7_iProver_def),X0),inverse(X0))) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_4732,c_11498]) ).
cnf(c_11599,plain,
multiply(multiply(a1,sP7_iProver_def),multiply(a1,sP7_iProver_def)) = multiply(a1,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_8301,c_11556]) ).
cnf(c_11764,plain,
inverse(multiply(multiply(multiply(sP7_iProver_def,a1),sP7_iProver_def),multiply(a1,sP7_iProver_def))) = a1,
inference(superposition,[status(thm)],[c_11506,c_147]) ).
cnf(c_11775,plain,
inverse(multiply(multiply(multiply(sP7_iProver_def,X0),inverse(X0)),multiply(a1,sP7_iProver_def))) = a1,
inference(superposition,[status(thm)],[c_11506,c_1793]) ).
cnf(c_11778,plain,
inverse(multiply(multiply(sP8_iProver_def,sP7_iProver_def),multiply(a1,sP7_iProver_def))) = a1,
inference(light_normalisation,[status(thm)],[c_11764,c_75]) ).
cnf(c_12113,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_11543,c_147]) ).
cnf(c_12124,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_11543,c_1793]) ).
cnf(c_12128,plain,
multiply(multiply(a1,sP7_iProver_def),multiply(multiply(a1,sP7_iProver_def),X0)) = X0,
inference(demodulation,[status(thm)],[c_1793,c_12124]) ).
cnf(c_12153,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_12128,c_147]) ).
cnf(c_12230,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),X0),X1),multiply(a1,sP7_iProver_def))) = inverse(multiply(multiply(a1,sP7_iProver_def),multiply(X0,X1))),
inference(superposition,[status(thm)],[c_11555,c_147]) ).
cnf(c_12246,plain,
inverse(multiply(multiply(multiply(multiply(a1,sP7_iProver_def),sP1_iProver_def),a2),multiply(a1,sP7_iProver_def))) = inverse(multiply(multiply(a1,sP7_iProver_def),sP2_iProver_def)),
inference(superposition,[status(thm)],[c_11555,c_593]) ).
cnf(c_12252,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_11555,c_894]) ).
cnf(c_12886,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_11557,c_147]) ).
cnf(c_12898,plain,
inverse(multiply(multiply(a1,sP7_iProver_def),X0)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_12886,c_11599,c_11508]) ).
cnf(c_13124,plain,
inverse(multiply(multiply(multiply(inverse(X0),a1),sP7_iProver_def),multiply(a1,sP7_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_12898,c_147]) ).
cnf(c_13126,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_12898,c_12113]) ).
cnf(c_13127,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_12898,c_10992]) ).
cnf(c_13132,plain,
multiply(multiply(X0,multiply(a1,sP7_iProver_def)),inverse(X0)) = multiply(a1,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_13127,c_12128]) ).
cnf(c_13133,plain,
multiply(multiply(a1,sP7_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_13126,c_12113,c_12128]) ).
cnf(c_13149,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_13133,c_147]) ).
cnf(c_13231,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_13132,c_147]) ).
cnf(c_13235,plain,
inverse(multiply(multiply(X0,multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_13231,c_11498,c_13133]) ).
cnf(c_13520,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_13124,c_13124]) ).
cnf(c_13558,plain,
multiply(multiply(multiply(inverse(inverse(X0)),a1),sP7_iProver_def),multiply(a1,sP7_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_13124,c_13520]) ).
cnf(c_13754,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_11775]) ).
cnf(c_13854,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_13235,c_13558]) ).
cnf(c_13866,plain,
multiply(multiply(X0,multiply(a1,sP7_iProver_def)),multiply(a1,sP7_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_13854,c_13558]) ).
cnf(c_13933,plain,
multiply(multiply(inverse(inverse(X0)),a1),sP7_iProver_def) = multiply(X0,multiply(a1,sP7_iProver_def)),
inference(superposition,[status(thm)],[c_13558,c_13866]) ).
cnf(c_13936,plain,
multiply(X0,inverse(multiply(X0,multiply(a1,sP7_iProver_def)))) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_13866,c_13132]) ).
cnf(c_13957,plain,
multiply(multiply(sP8_iProver_def,sP7_iProver_def),a1) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_11778,c_13936]) ).
cnf(c_13968,plain,
inverse(inverse(inverse(sP7_iProver_def))) = a1,
inference(demodulation,[status(thm)],[c_13754,c_11508,c_13133]) ).
cnf(c_13992,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_13968,c_13933]) ).
cnf(c_13993,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_13992,c_74,c_75]) ).
cnf(c_14122,plain,
inverse(multiply(inverse(multiply(multiply(a1,sP7_iProver_def),X0)),multiply(a1,sP7_iProver_def))) = X0,
inference(superposition,[status(thm)],[c_13866,c_13149]) ).
cnf(c_14135,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_13149]) ).
cnf(c_14182,plain,
inverse(multiply(inverse(X0),multiply(a1,sP7_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_14122,c_13133]) ).
cnf(c_14426,plain,
multiply(multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2),multiply(a1,sP7_iProver_def)) = inverse(multiply(a2,multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_456,c_14182]) ).
cnf(c_14430,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_13149,c_14182]) ).
cnf(c_14434,plain,
multiply(inverse(X0),multiply(a1,sP7_iProver_def)) = inverse(multiply(X0,multiply(a1,sP7_iProver_def))),
inference(superposition,[status(thm)],[c_14182,c_14182]) ).
cnf(c_14438,plain,
multiply(multiply(inverse(X0),multiply(a1,sP7_iProver_def)),X0) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_14182,c_1768]) ).
cnf(c_14440,plain,
multiply(inverse(X0),X0) = multiply(a1,sP7_iProver_def),
inference(superposition,[status(thm)],[c_14182,c_13936]) ).
cnf(c_14453,plain,
inverse(inverse(multiply(X0,multiply(a1,sP7_iProver_def)))) = X0,
inference(demodulation,[status(thm)],[c_13149,c_14430]) ).
cnf(c_14455,plain,
multiply(inverse(inverse(X0)),multiply(a1,sP7_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_14182,c_14434]) ).
cnf(c_14456,plain,
multiply(sP8_iProver_def,sP7_iProver_def) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_13993,c_14455]) ).
cnf(c_14458,plain,
multiply(a1,sP7_iProver_def) = multiply(sP7_iProver_def,a1),
inference(demodulation,[status(thm)],[c_13957,c_14456]) ).
cnf(c_14459,plain,
multiply(a1,sP7_iProver_def) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_14458,c_75]) ).
cnf(c_14479,plain,
multiply(multiply(X0,sP8_iProver_def),sP8_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_13866,c_14459]) ).
cnf(c_14481,plain,
multiply(multiply(X0,sP8_iProver_def),inverse(X0)) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_13132,c_14459]) ).
cnf(c_14482,plain,
multiply(sP8_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_13133,c_14459]) ).
cnf(c_14486,plain,
inverse(sP8_iProver_def) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_11498,c_14459]) ).
cnf(c_14487,plain,
multiply(X0,inverse(X0)) = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_1768,c_14459]) ).
cnf(c_14687,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_14135,c_14459]) ).
cnf(c_14690,plain,
multiply(inverse(X0),X0) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_14440,c_14459]) ).
cnf(c_14692,plain,
multiply(sP9_iProver_def,b1) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_76,c_14690]) ).
cnf(c_14693,plain,
multiply(sP0_iProver_def,b2) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_67,c_14690]) ).
cnf(c_14713,plain,
sP1_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_14693,c_68]) ).
cnf(c_14715,plain,
sP8_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_77,c_14692]) ).
cnf(c_14716,plain,
( a2 != sP2_iProver_def
| sP4_iProver_def != sP6_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_78,c_14715]) ).
cnf(c_14720,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14690,c_14713]) ).
cnf(c_14721,plain,
inverse(multiply(multiply(multiply(inverse(sP6_iProver_def),sP1_iProver_def),a3),sP1_iProver_def)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_14687,c_14713]) ).
cnf(c_14735,plain,
multiply(multiply(X0,sP1_iProver_def),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_14479,c_14713]) ).
cnf(c_14743,plain,
multiply(X0,inverse(X0)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14487,c_14713]) ).
cnf(c_14746,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_14482,c_14713]) ).
cnf(c_14748,plain,
multiply(a1,sP7_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14459,c_14713]) ).
cnf(c_14749,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_14486,c_14713]) ).
cnf(c_14751,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_69,c_14746]) ).
cnf(c_14752,plain,
sP4_iProver_def != sP6_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_14716,c_14751]) ).
cnf(c_14953,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X1)),b3),c3),sP1_iProver_def),X1))) = X0,
inference(light_normalisation,[status(thm)],[c_355,c_14748]) ).
cnf(c_15009,plain,
inverse(multiply(multiply(multiply(inverse(sP1_iProver_def),b3),c3),multiply(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),sP1_iProver_def),X0))) = inverse(sP5_iProver_def),
inference(superposition,[status(thm)],[c_14743,c_14953]) ).
cnf(c_15013,plain,
inverse(multiply(multiply(multiply(sP1_iProver_def,b3),c3),multiply(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),sP1_iProver_def),X0))) = inverse(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_15009,c_14749]) ).
cnf(c_15053,plain,
multiply(multiply(inverse(X0),sP1_iProver_def),X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_14438,c_14748]) ).
cnf(c_15357,plain,
multiply(multiply(X0,sP1_iProver_def),inverse(X0)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_14481,c_14713]) ).
cnf(c_15360,plain,
multiply(X0,inverse(multiply(X0,sP1_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_14735,c_15357]) ).
cnf(c_15830,plain,
inverse(multiply(multiply(multiply(inverse(sP1_iProver_def),b3),c3),multiply(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),sP1_iProver_def),X0))) = inverse(multiply(sP5_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_15360,c_14953]) ).
cnf(c_15843,plain,
inverse(multiply(sP5_iProver_def,sP1_iProver_def)) = inverse(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_15830,c_14749,c_15013]) ).
cnf(c_15887,plain,
inverse(multiply(inverse(X0),sP1_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_14453,c_14434,c_14748]) ).
cnf(c_15908,plain,
multiply(inverse(X0),sP1_iProver_def) = inverse(multiply(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_15887,c_15887]) ).
cnf(c_15928,plain,
multiply(inverse(inverse(X0)),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_15887,c_15908]) ).
cnf(c_15931,plain,
multiply(inverse(sP5_iProver_def),sP1_iProver_def) = inverse(sP5_iProver_def),
inference(demodulation,[status(thm)],[c_15843,c_15908]) ).
cnf(c_15979,plain,
multiply(multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2),sP1_iProver_def) = inverse(multiply(sP2_iProver_def,sP1_iProver_def)),
inference(light_normalisation,[status(thm)],[c_14426,c_14748,c_14751]) ).
cnf(c_15980,plain,
multiply(multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2),sP1_iProver_def) = multiply(inverse(sP2_iProver_def),sP1_iProver_def),
inference(demodulation,[status(thm)],[c_15979,c_15908]) ).
cnf(c_15993,plain,
multiply(X0,sP1_iProver_def) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_15928,c_14735]) ).
cnf(c_16263,plain,
multiply(inverse(inverse(sP5_iProver_def)),sP1_iProver_def) = inverse(inverse(sP5_iProver_def)),
inference(superposition,[status(thm)],[c_15931,c_15908]) ).
cnf(c_16290,plain,
multiply(sP5_iProver_def,sP1_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_16263,c_14735,c_15993]) ).
cnf(c_16315,plain,
inverse(multiply(multiply(multiply(sP1_iProver_def,sP1_iProver_def),sP2_iProver_def),sP1_iProver_def)) = inverse(multiply(sP1_iProver_def,sP2_iProver_def)),
inference(light_normalisation,[status(thm)],[c_12246,c_14748,c_14751]) ).
cnf(c_16316,plain,
multiply(inverse(sP2_iProver_def),sP1_iProver_def) = inverse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_16315,c_14746,c_15908]) ).
cnf(c_16317,plain,
multiply(multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2),sP1_iProver_def) = inverse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_15980,c_16316]) ).
cnf(c_16547,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_12252,c_14748]) ).
cnf(c_16548,plain,
multiply(inverse(sP6_iProver_def),sP1_iProver_def) = inverse(sP6_iProver_def),
inference(demodulation,[status(thm)],[c_16547,c_73,c_14746,c_15908]) ).
cnf(c_17533,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_14743,c_14746]) ).
cnf(c_17535,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_14743,c_17533]) ).
cnf(c_17572,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_17535,c_14749]) ).
cnf(c_17784,plain,
inverse(multiply(multiply(inverse(sP6_iProver_def),a3),sP1_iProver_def)) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_14721,c_16548]) ).
cnf(c_17785,plain,
multiply(inverse(multiply(inverse(sP6_iProver_def),a3)),sP1_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_17784,c_15908]) ).
cnf(c_17791,plain,
inverse(multiply(inverse(sP6_iProver_def),a3)) = multiply(sP5_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_17785,c_14735]) ).
cnf(c_17795,plain,
multiply(sP5_iProver_def,multiply(inverse(sP6_iProver_def),a3)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_17785,c_15053]) ).
cnf(c_17796,plain,
inverse(multiply(inverse(sP6_iProver_def),a3)) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_17791,c_16290]) ).
cnf(c_18160,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_17795,c_17533]) ).
cnf(c_18161,plain,
multiply(inverse(sP6_iProver_def),a3) = inverse(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_18160,c_14749,c_17572]) ).
cnf(c_18164,plain,
inverse(inverse(sP5_iProver_def)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_17796,c_18161]) ).
cnf(c_18826,plain,
multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2) = multiply(inverse(sP2_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_16317,c_14735]) ).
cnf(c_18827,plain,
multiply(multiply(inverse(sP2_iProver_def),sP0_iProver_def),b2) = inverse(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_18826,c_16316]) ).
cnf(c_18844,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),sP1_iProver_def),X0),sP1_iProver_def)) = X1,
inference(light_normalisation,[status(thm)],[c_12153,c_14746,c_14748]) ).
cnf(c_18845,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X0,X1)),sP1_iProver_def),X0)),sP1_iProver_def) = X1,
inference(demodulation,[status(thm)],[c_18844,c_15908]) ).
cnf(c_18905,plain,
multiply(inverse(multiply(multiply(inverse(inverse(sP5_iProver_def)),sP1_iProver_def),inverse(sP6_iProver_def))),sP1_iProver_def) = a3,
inference(superposition,[status(thm)],[c_18161,c_18845]) ).
cnf(c_18952,plain,
multiply(inverse(multiply(sP5_iProver_def,inverse(sP6_iProver_def))),sP1_iProver_def) = a3,
inference(light_normalisation,[status(thm)],[c_18905,c_16263,c_18164]) ).
cnf(c_19386,plain,
inverse(multiply(multiply(X0,X1),sP1_iProver_def)) = inverse(multiply(sP1_iProver_def,multiply(X0,X1))),
inference(light_normalisation,[status(thm)],[c_12230,c_14746,c_14748]) ).
cnf(c_19387,plain,
multiply(inverse(multiply(X0,X1)),sP1_iProver_def) = inverse(multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_19386,c_14746,c_15908]) ).
cnf(c_19419,plain,
multiply(inverse(X0),sP1_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_14735,c_19387]) ).
cnf(c_19509,plain,
multiply(multiply(X0,sP1_iProver_def),sP1_iProver_def) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_15993,c_19419]) ).
cnf(c_19520,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_19509,c_14735]) ).
cnf(c_19522,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_15993,c_19520]) ).
cnf(c_19658,plain,
inverse(multiply(sP5_iProver_def,inverse(sP6_iProver_def))) = a3,
inference(demodulation,[status(thm)],[c_18952,c_19520]) ).
cnf(c_19659,plain,
multiply(sP5_iProver_def,inverse(sP6_iProver_def)) = inverse(a3),
inference(superposition,[status(thm)],[c_19658,c_19522]) ).
cnf(c_19759,plain,
inverse(multiply(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3),multiply(multiply(inverse(sP2_iProver_def),multiply(X1,inverse(X1))),sP2_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_454,c_14751,c_18827]) ).
cnf(c_19760,plain,
inverse(multiply(multiply(inverse(multiply(sP5_iProver_def,X0)),b3),c3)) = X0,
inference(demodulation,[status(thm)],[c_19759,c_14720,c_14743,c_19520]) ).
cnf(c_19764,plain,
inverse(multiply(multiply(inverse(inverse(a3)),b3),c3)) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_19659,c_19760]) ).
cnf(c_21856,plain,
inverse(sP4_iProver_def) = inverse(sP6_iProver_def),
inference(demodulation,[status(thm)],[c_19764,c_70,c_71,c_19522]) ).
cnf(c_21872,plain,
inverse(inverse(sP4_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_21856,c_19522]) ).
cnf(c_21875,plain,
sP4_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_21872,c_19522]) ).
cnf(c_21876,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21875,c_14752]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP059-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 00:19:46 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 10.19/2.15 % SZS status Started for theBenchmark.p
% 10.19/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 10.19/2.15
% 10.19/2.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.19/2.15
% 10.19/2.15 ------ iProver source info
% 10.19/2.15
% 10.19/2.15 git: date: 2024-05-02 19:28:25 +0000
% 10.19/2.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.19/2.15 git: non_committed_changes: false
% 10.19/2.15
% 10.19/2.15 ------ Parsing...successful
% 10.19/2.15
% 10.19/2.15
% 10.19/2.15
% 10.19/2.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.19/2.15
% 10.19/2.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.19/2.15
% 10.19/2.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.19/2.15 ------ Proving...
% 10.19/2.15 ------ Problem Properties
% 10.19/2.15
% 10.19/2.15
% 10.19/2.15 clauses 13
% 10.19/2.15 conjectures 1
% 10.19/2.15 EPR 1
% 10.19/2.15 Horn 13
% 10.19/2.15 unary 12
% 10.19/2.15 binary 0
% 10.19/2.15 lits 15
% 10.19/2.15 lits eq 15
% 10.19/2.15 fd_pure 0
% 10.19/2.15 fd_pseudo 0
% 10.19/2.15 fd_cond 0
% 10.19/2.15 fd_pseudo_cond 0
% 10.19/2.15 AC symbols 0
% 10.19/2.15
% 10.19/2.15 ------ Schedule dynamic 5 is on
% 10.19/2.15
% 10.19/2.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.19/2.15
% 10.19/2.15
% 10.19/2.15 ------
% 10.19/2.15 Current options:
% 10.19/2.15 ------
% 10.19/2.15
% 10.19/2.15
% 10.19/2.15
% 10.19/2.15
% 10.19/2.15 ------ Proving...
% 10.19/2.15
% 10.19/2.15
% 10.19/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 10.19/2.15
% 10.19/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.19/2.15
% 10.19/2.15
%------------------------------------------------------------------------------