TSTP Solution File: GRP055-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP055-1 : 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 06:57:44 EDT 2024
% Result : Unsatisfiable 20.44s 3.73s
% Output : CNFRefutation 20.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
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_64,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_65,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_66,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_67,plain,
multiply(a3,b3) = sP3_iProver_def,
definition ).
cnf(c_68,plain,
multiply(sP3_iProver_def,c3) = sP4_iProver_def,
definition ).
cnf(c_69,plain,
multiply(b3,c3) = sP5_iProver_def,
definition ).
cnf(c_70,plain,
multiply(a3,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_71,plain,
inverse(a1) = sP7_iProver_def,
definition ).
cnf(c_72,plain,
multiply(sP7_iProver_def,a1) = sP8_iProver_def,
definition ).
cnf(c_73,plain,
inverse(b1) = sP9_iProver_def,
definition ).
cnf(c_74,plain,
multiply(sP9_iProver_def,b1) = sP10_iProver_def,
definition ).
cnf(c_75,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_73,c_74,c_71,c_72,c_69,c_70,c_67,c_68,c_64,c_65,c_66]) ).
cnf(c_144,plain,
inverse(multiply(inverse(multiply(a3,inverse(multiply(inverse(X0),multiply(inverse(b3),inverse(multiply(inverse(b3),b3))))))),sP3_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_67,c_49]) ).
cnf(c_151,plain,
inverse(multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(inverse(X0),multiply(inverse(b1),inverse(multiply(inverse(b1),b1))))))),sP10_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_74,c_49]) ).
cnf(c_152,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_154,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_155,plain,
inverse(multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(inverse(X0),multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),sP10_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_151,c_73,c_74]) ).
cnf(c_161,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = sP11_iProver_def(X1),
inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_152]) ).
cnf(c_162,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = sP11_iProver_def(X1),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_152]) ).
cnf(c_168,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = inverse(multiply(inverse(multiply(a3,inverse(multiply(X1,multiply(inverse(b3),inverse(multiply(inverse(b3),b3))))))),sP3_iProver_def)),
inference(superposition,[status(thm)],[c_49,c_144]) ).
cnf(c_177,plain,
inverse(multiply(inverse(multiply(a3,inverse(multiply(X0,multiply(inverse(b3),inverse(multiply(inverse(b3),b3))))))),sP3_iProver_def)) = sP11_iProver_def(X0),
inference(demodulation,[status(thm)],[c_168,c_162]) ).
cnf(c_403,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_154,c_154]) ).
cnf(c_420,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = sP13_iProver_def(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_403]) ).
cnf(c_505,plain,
inverse(multiply(inverse(multiply(a3,inverse(multiply(X0,multiply(inverse(b3),inverse(multiply(inverse(b3),b3))))))),sP3_iProver_def)) = multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(inverse(X0),multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),sP10_iProver_def),
inference(superposition,[status(thm)],[c_155,c_144]) ).
cnf(c_507,plain,
multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(inverse(X0),multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),sP10_iProver_def) = sP11_iProver_def(X0),
inference(demodulation,[status(thm)],[c_505,c_177]) ).
cnf(c_981,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(sP7_iProver_def,multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))))),multiply(X0,X1))) = a1,
inference(superposition,[status(thm)],[c_71,c_49]) ).
cnf(c_982,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(sP9_iProver_def,multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))))),multiply(X0,X1))) = b1,
inference(superposition,[status(thm)],[c_73,c_49]) ).
cnf(c_983,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(sP0_iProver_def,multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))))),multiply(X0,X1))) = b2,
inference(superposition,[status(thm)],[c_64,c_49]) ).
cnf(c_999,plain,
inverse(multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(inverse(X0),multiply(inverse(b1),inverse(multiply(inverse(b1),b1))))))),sP10_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_74,c_49]) ).
cnf(c_1004,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_1006,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_1009,plain,
inverse(sP11_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_999,c_73,c_74,c_507]) ).
cnf(c_1015,plain,
multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = sP11_iProver_def(X1),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1004]) ).
cnf(c_1025,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,inverse(multiply(X2,multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4))))))))),multiply(X0,multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4))))) = sP11_iProver_def(X1),
inference(superposition,[status(thm)],[c_49,c_161]) ).
cnf(c_1027,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(sP9_iProver_def,inverse(multiply(sP9_iProver_def,b1))))))),multiply(X0,b1))) = sP11_iProver_def(X1),
inference(superposition,[status(thm)],[c_73,c_161]) ).
cnf(c_1036,plain,
inverse(multiply(inverse(multiply(sP7_iProver_def,inverse(multiply(X0,multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),sP8_iProver_def)) = sP11_iProver_def(X0),
inference(superposition,[status(thm)],[c_72,c_161]) ).
cnf(c_1045,plain,
multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(inverse(multiply(X2,sP11_iProver_def(X1))),multiply(X2,X0))),
inference(superposition,[status(thm)],[c_161,c_49]) ).
cnf(c_1046,plain,
sP11_iProver_def(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_161,c_49]) ).
cnf(c_1049,plain,
sP11_iProver_def(multiply(sP9_iProver_def,inverse(multiply(X0,multiply(inverse(inverse(sP10_iProver_def)),inverse(multiply(inverse(inverse(sP10_iProver_def)),inverse(sP10_iProver_def)))))))) = multiply(inverse(multiply(sP9_iProver_def,sP11_iProver_def(X0))),sP10_iProver_def),
inference(superposition,[status(thm)],[c_161,c_507]) ).
cnf(c_1051,plain,
inverse(multiply(inverse(multiply(sP7_iProver_def,inverse(multiply(X0,multiply(sP7_iProver_def,inverse(sP8_iProver_def)))))),sP8_iProver_def)) = sP11_iProver_def(X0),
inference(demodulation,[status(thm)],[c_1036,c_71,c_72]) ).
cnf(c_1054,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),multiply(X0,b1))) = sP11_iProver_def(X1),
inference(demodulation,[status(thm)],[c_1027,c_74]) ).
cnf(c_1057,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,inverse(multiply(X2,sP11_iProver_def(X2)))))))),multiply(X0,sP11_iProver_def(X2)))) = sP11_iProver_def(X1),
inference(demodulation,[status(thm)],[c_1025,c_1015]) ).
cnf(c_1058,plain,
sP11_iProver_def(sP7_iProver_def) = a1,
inference(demodulation,[status(thm)],[c_981,c_161]) ).
cnf(c_1059,plain,
sP11_iProver_def(sP9_iProver_def) = b1,
inference(demodulation,[status(thm)],[c_982,c_161]) ).
cnf(c_1060,plain,
sP11_iProver_def(sP0_iProver_def) = b2,
inference(demodulation,[status(thm)],[c_983,c_161]) ).
cnf(c_1074,plain,
sP11_iProver_def(inverse(multiply(sP7_iProver_def,inverse(multiply(X0,multiply(inverse(inverse(sP8_iProver_def)),inverse(multiply(inverse(inverse(sP8_iProver_def)),inverse(sP8_iProver_def))))))))) = inverse(multiply(inverse(multiply(sP7_iProver_def,sP11_iProver_def(X0))),sP8_iProver_def)),
inference(superposition,[status(thm)],[c_161,c_1051]) ).
cnf(c_1081,plain,
multiply(sP7_iProver_def,inverse(multiply(X0,multiply(inverse(inverse(sP8_iProver_def)),inverse(multiply(inverse(inverse(sP8_iProver_def)),inverse(sP8_iProver_def))))))) = inverse(multiply(inverse(multiply(sP7_iProver_def,sP11_iProver_def(X0))),sP8_iProver_def)),
inference(demodulation,[status(thm)],[c_1074,c_1046]) ).
cnf(c_1146,plain,
inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))))))),inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X0))))) = sP11_iProver_def(X1),
inference(superposition,[status(thm)],[c_1006,c_161]) ).
cnf(c_1187,plain,
inverse(multiply(sP11_iProver_def(X0),multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3))) = sP13_iProver_def(multiply(X1,X2),X3),
inference(superposition,[status(thm)],[c_161,c_420]) ).
cnf(c_1191,plain,
inverse(multiply(inverse(sP5_iProver_def),multiply(b3,X0))) = sP13_iProver_def(c3,X0),
inference(superposition,[status(thm)],[c_69,c_420]) ).
cnf(c_1193,plain,
inverse(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,X0))) = sP13_iProver_def(a2,X0),
inference(superposition,[status(thm)],[c_66,c_420]) ).
cnf(c_1195,plain,
inverse(multiply(inverse(sP6_iProver_def),multiply(a3,X0))) = sP13_iProver_def(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_70,c_420]) ).
cnf(c_1206,plain,
inverse(multiply(inverse(multiply(sP1_iProver_def,X0)),sP2_iProver_def)) = sP13_iProver_def(X0,a2),
inference(superposition,[status(thm)],[c_66,c_420]) ).
cnf(c_1209,plain,
inverse(multiply(inverse(multiply(sP7_iProver_def,X0)),sP8_iProver_def)) = sP13_iProver_def(X0,a1),
inference(superposition,[status(thm)],[c_72,c_420]) ).
cnf(c_1212,plain,
inverse(multiply(inverse(multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(inverse(X0),multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),X1)),sP11_iProver_def(X0))) = sP13_iProver_def(X1,sP10_iProver_def),
inference(superposition,[status(thm)],[c_507,c_420]) ).
cnf(c_1222,plain,
inverse(multiply(inverse(multiply(X0,sP13_iProver_def(X1,inverse(multiply(inverse(X2),X2))))),multiply(X0,X2))) = multiply(inverse(X2),X1),
inference(superposition,[status(thm)],[c_420,c_49]) ).
cnf(c_1224,plain,
multiply(sP13_iProver_def(X0,X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(sP13_iProver_def(X0,X1),multiply(inverse(multiply(X3,X0)),multiply(X3,X1))))),inverse(multiply(inverse(inverse(multiply(sP13_iProver_def(X0,X1),multiply(inverse(multiply(X3,X0)),multiply(X3,X1))))),inverse(multiply(sP13_iProver_def(X0,X1),multiply(inverse(multiply(X3,X0)),multiply(X3,X1)))))))))) = inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,multiply(inverse(multiply(X3,X0)),multiply(X3,X1))))),
inference(superposition,[status(thm)],[c_420,c_1006]) ).
cnf(c_1225,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = sP11_iProver_def(sP13_iProver_def(X1,X2)),
inference(superposition,[status(thm)],[c_420,c_1046]) ).
cnf(c_1230,plain,
multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = sP13_iProver_def(X1,X0),
inference(superposition,[status(thm)],[c_420,c_1006]) ).
cnf(c_1232,plain,
sP13_iProver_def(inverse(multiply(X0,multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))),X1) = sP11_iProver_def(X0),
inference(superposition,[status(thm)],[c_420,c_161]) ).
cnf(c_1237,plain,
sP13_iProver_def(sP13_iProver_def(X0,inverse(multiply(inverse(X1),X1))),X1) = multiply(inverse(X1),X0),
inference(demodulation,[status(thm)],[c_1222,c_420]) ).
cnf(c_1254,plain,
multiply(sP13_iProver_def(X0,X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(sP13_iProver_def(X0,X1),multiply(inverse(multiply(X3,X0)),multiply(X3,X1))))),inverse(multiply(inverse(inverse(multiply(sP13_iProver_def(X0,X1),multiply(inverse(multiply(X3,X0)),multiply(X3,X1))))),inverse(multiply(sP13_iProver_def(X0,X1),multiply(inverse(multiply(X3,X0)),multiply(X3,X1)))))))))) = sP13_iProver_def(X2,multiply(inverse(multiply(X3,X0)),multiply(X3,X1))),
inference(demodulation,[status(thm)],[c_1224,c_420]) ).
cnf(c_1383,plain,
multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = sP13_iProver_def(sP11_iProver_def(X1),X0),
inference(demodulation,[status(thm)],[c_1045,c_420]) ).
cnf(c_1441,plain,
multiply(sP9_iProver_def,inverse(multiply(X0,multiply(inverse(inverse(multiply(sP9_iProver_def,b1))),inverse(multiply(inverse(inverse(multiply(sP9_iProver_def,b1))),inverse(multiply(sP9_iProver_def,b1)))))))) = sP13_iProver_def(sP11_iProver_def(X0),b1),
inference(superposition,[status(thm)],[c_73,c_1383]) ).
cnf(c_1452,plain,
inverse(multiply(inverse(sP13_iProver_def(sP11_iProver_def(inverse(X0)),X1)),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) = X0,
inference(superposition,[status(thm)],[c_1383,c_49]) ).
cnf(c_1459,plain,
sP13_iProver_def(inverse(multiply(X0,multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))),X2) = inverse(multiply(inverse(sP13_iProver_def(sP11_iProver_def(X0),X1)),multiply(inverse(X1),X2))),
inference(superposition,[status(thm)],[c_1383,c_420]) ).
cnf(c_1461,plain,
inverse(multiply(inverse(sP13_iProver_def(X0,X1)),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) = X0,
inference(demodulation,[status(thm)],[c_1452,c_1046]) ).
cnf(c_1463,plain,
multiply(sP9_iProver_def,inverse(multiply(X0,multiply(inverse(inverse(sP10_iProver_def)),inverse(multiply(inverse(inverse(sP10_iProver_def)),inverse(sP10_iProver_def))))))) = sP13_iProver_def(sP11_iProver_def(X0),b1),
inference(demodulation,[status(thm)],[c_1441,c_74]) ).
cnf(c_1475,plain,
multiply(inverse(multiply(sP9_iProver_def,sP11_iProver_def(X0))),sP10_iProver_def) = sP11_iProver_def(sP13_iProver_def(sP11_iProver_def(X0),b1)),
inference(demodulation,[status(thm)],[c_1049,c_1463]) ).
cnf(c_1479,plain,
multiply(inverse(multiply(sP9_iProver_def,X0)),sP10_iProver_def) = sP11_iProver_def(sP13_iProver_def(X0,b1)),
inference(superposition,[status(thm)],[c_1046,c_1475]) ).
cnf(c_1494,plain,
sP13_iProver_def(inverse(multiply(X0,multiply(sP9_iProver_def,inverse(sP10_iProver_def)))),b1) = sP11_iProver_def(X0),
inference(demodulation,[status(thm)],[c_1054,c_420]) ).
cnf(c_1617,plain,
sP13_iProver_def(inverse(multiply(X0,multiply(X1,inverse(multiply(X1,sP11_iProver_def(X1)))))),sP11_iProver_def(X1)) = sP11_iProver_def(X0),
inference(demodulation,[status(thm)],[c_1057,c_420]) ).
cnf(c_1651,plain,
multiply(sP7_iProver_def,inverse(multiply(X0,multiply(inverse(inverse(sP8_iProver_def)),inverse(multiply(inverse(inverse(sP8_iProver_def)),inverse(sP8_iProver_def))))))) = sP13_iProver_def(sP11_iProver_def(X0),a1),
inference(demodulation,[status(thm)],[c_1081,c_1209]) ).
cnf(c_1659,plain,
inverse(multiply(inverse(sP13_iProver_def(sP11_iProver_def(X0),a1)),multiply(sP7_iProver_def,inverse(sP8_iProver_def)))) = sP11_iProver_def(X0),
inference(superposition,[status(thm)],[c_1651,c_161]) ).
cnf(c_1834,plain,
inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))))))),sP13_iProver_def(X2,X0))) = sP11_iProver_def(X1),
inference(demodulation,[status(thm)],[c_1146,c_420]) ).
cnf(c_2181,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(X0,sP11_iProver_def(X0)))),inverse(multiply(inverse(inverse(multiply(X0,sP11_iProver_def(X0)))),inverse(multiply(X0,sP11_iProver_def(X0))))))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(X0,sP11_iProver_def(X0)))),inverse(multiply(inverse(inverse(multiply(X0,sP11_iProver_def(X0)))),inverse(multiply(X0,sP11_iProver_def(X0))))))))),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(X0,sP11_iProver_def(X0)))),inverse(multiply(inverse(inverse(multiply(X0,sP11_iProver_def(X0)))),inverse(multiply(X0,sP11_iProver_def(X0))))))))))))))),sP13_iProver_def(X2,sP11_iProver_def(X0)))) = sP11_iProver_def(X1),
inference(superposition,[status(thm)],[c_1009,c_1834]) ).
cnf(c_2200,plain,
inverse(multiply(inverse(multiply(X0,multiply(inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))))))))),sP13_iProver_def(X3,X1)))),multiply(X0,X4))) = multiply(inverse(X4),inverse(multiply(sP11_iProver_def(X2),multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4)))))))),
inference(superposition,[status(thm)],[c_1834,c_1006]) ).
cnf(c_2206,plain,
multiply(sP11_iProver_def(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(sP11_iProver_def(X0),multiply(inverse(multiply(inverse(X2),inverse(multiply(X0,multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))))))))),sP13_iProver_def(X3,X2))))),inverse(multiply(inverse(inverse(multiply(sP11_iProver_def(X0),multiply(inverse(multiply(inverse(X2),inverse(multiply(X0,multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))))))))),sP13_iProver_def(X3,X2))))),inverse(multiply(sP11_iProver_def(X0),multiply(inverse(multiply(inverse(X2),inverse(multiply(X0,multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))))))))),sP13_iProver_def(X3,X2)))))))))) = sP13_iProver_def(sP11_iProver_def(X1),multiply(inverse(multiply(inverse(X2),inverse(multiply(X0,multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))))))))),sP13_iProver_def(X3,X2))),
inference(superposition,[status(thm)],[c_1834,c_1383]) ).
cnf(c_2208,plain,
multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))))))),sP13_iProver_def(X2,X0)) = sP11_iProver_def(sP11_iProver_def(X1)),
inference(superposition,[status(thm)],[c_1834,c_1046]) ).
cnf(c_2225,plain,
sP13_iProver_def(multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))))))),sP13_iProver_def(X2,X0)),X3) = sP13_iProver_def(sP11_iProver_def(sP11_iProver_def(X1)),X3),
inference(demodulation,[status(thm)],[c_2200,c_420,c_1383]) ).
cnf(c_2244,plain,
sP13_iProver_def(sP11_iProver_def(X0),multiply(inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))))))))),sP13_iProver_def(X3,X1))) = multiply(sP11_iProver_def(X2),inverse(multiply(X0,multiply(inverse(sP13_iProver_def(sP13_iProver_def(X3,X1),sP13_iProver_def(X3,X1))),inverse(multiply(inverse(sP13_iProver_def(sP13_iProver_def(X3,X1),sP13_iProver_def(X3,X1))),sP13_iProver_def(sP13_iProver_def(X3,X1),sP13_iProver_def(X3,X1)))))))),
inference(demodulation,[status(thm)],[c_2206,c_1230,c_1187]) ).
cnf(c_2392,plain,
inverse(multiply(inverse(sP6_iProver_def),sP3_iProver_def)) = sP13_iProver_def(sP5_iProver_def,b3),
inference(superposition,[status(thm)],[c_67,c_1195]) ).
cnf(c_2403,plain,
multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(sP13_iProver_def(sP5_iProver_def,X0),multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),sP10_iProver_def) = sP11_iProver_def(multiply(inverse(sP6_iProver_def),multiply(a3,X0))),
inference(superposition,[status(thm)],[c_1195,c_507]) ).
cnf(c_2404,plain,
inverse(multiply(sP13_iProver_def(sP5_iProver_def,X0),multiply(inverse(sP6_iProver_def),X1))) = sP13_iProver_def(multiply(a3,X0),X1),
inference(superposition,[status(thm)],[c_1195,c_420]) ).
cnf(c_2406,plain,
sP11_iProver_def(multiply(inverse(sP6_iProver_def),multiply(a3,X0))) = sP11_iProver_def(sP11_iProver_def(sP13_iProver_def(sP5_iProver_def,X0))),
inference(demodulation,[status(thm)],[c_2403,c_1479,c_1494]) ).
cnf(c_2822,plain,
sP13_iProver_def(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3),X4) = inverse(multiply(sP13_iProver_def(multiply(X0,X2),X3),multiply(sP11_iProver_def(X1),X4))),
inference(superposition,[status(thm)],[c_1187,c_420]) ).
cnf(c_3498,plain,
inverse(multiply(inverse(sP11_iProver_def(X0)),sP11_iProver_def(X0))) = sP13_iProver_def(sP10_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_507,c_1212]) ).
cnf(c_3560,plain,
inverse(multiply(X0,sP11_iProver_def(X0))) = sP13_iProver_def(sP10_iProver_def,sP10_iProver_def),
inference(demodulation,[status(thm)],[c_3498,c_1009]) ).
cnf(c_3822,plain,
multiply(sP13_iProver_def(X0,X1),multiply(inverse(multiply(X2,X0)),X3)) = sP11_iProver_def(sP13_iProver_def(multiply(X2,X1),X3)),
inference(superposition,[status(thm)],[c_420,c_1225]) ).
cnf(c_4247,plain,
inverse(multiply(sP7_iProver_def,a1)) = sP13_iProver_def(sP10_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_1058,c_3560]) ).
cnf(c_4248,plain,
inverse(multiply(sP9_iProver_def,b1)) = sP13_iProver_def(sP10_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_1059,c_3560]) ).
cnf(c_4249,plain,
inverse(multiply(sP0_iProver_def,b2)) = sP13_iProver_def(sP10_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_1060,c_3560]) ).
cnf(c_4250,plain,
inverse(multiply(inverse(X0),X0)) = sP13_iProver_def(sP10_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_1046,c_3560]) ).
cnf(c_4281,plain,
sP13_iProver_def(sP10_iProver_def,sP10_iProver_def) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4249,c_65]) ).
cnf(c_4282,plain,
sP13_iProver_def(sP10_iProver_def,sP10_iProver_def) = inverse(sP10_iProver_def),
inference(demodulation,[status(thm)],[c_4248,c_74]) ).
cnf(c_4283,plain,
sP13_iProver_def(sP10_iProver_def,sP10_iProver_def) = inverse(sP8_iProver_def),
inference(demodulation,[status(thm)],[c_4247,c_72]) ).
cnf(c_4358,plain,
inverse(sP1_iProver_def) = inverse(sP10_iProver_def),
inference(demodulation,[status(thm)],[c_4282,c_4281]) ).
cnf(c_4372,plain,
sP11_iProver_def(inverse(sP1_iProver_def)) = sP10_iProver_def,
inference(superposition,[status(thm)],[c_4358,c_1046]) ).
cnf(c_4386,plain,
sP1_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_4372,c_1046]) ).
cnf(c_4417,plain,
sP13_iProver_def(sP1_iProver_def,sP1_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_4386,c_4281]) ).
cnf(c_4441,plain,
inverse(sP1_iProver_def) = inverse(sP8_iProver_def),
inference(demodulation,[status(thm)],[c_4283,c_4281]) ).
cnf(c_4455,plain,
sP11_iProver_def(inverse(sP1_iProver_def)) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_4441,c_1046]) ).
cnf(c_4464,plain,
sP1_iProver_def = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_4455,c_1046]) ).
cnf(c_4528,plain,
sP13_iProver_def(sP13_iProver_def(X0,inverse(sP1_iProver_def)),X1) = multiply(inverse(X1),X0),
inference(demodulation,[status(thm)],[c_1237,c_4250,c_4281]) ).
cnf(c_4712,plain,
inverse(multiply(inverse(X0),X0)) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4250,c_4281]) ).
cnf(c_4748,plain,
inverse(multiply(sP13_iProver_def(X0,X1),multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_420,c_4712]) ).
cnf(c_4771,plain,
inverse(multiply(sP11_iProver_def(X0),multiply(inverse(multiply(inverse(X1),inverse(multiply(X0,multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))))))))),sP13_iProver_def(X2,X1)))) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_1834,c_4712]) ).
cnf(c_4794,plain,
multiply(inverse(X0),X0) = sP11_iProver_def(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_4712,c_1046]) ).
cnf(c_4813,plain,
multiply(inverse(sP1_iProver_def),multiply(inverse(X0),X1)) = sP11_iProver_def(sP13_iProver_def(X0,X1)),
inference(superposition,[status(thm)],[c_4712,c_1225]) ).
cnf(c_4814,plain,
inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(X0),X1))) = sP13_iProver_def(X0,X1),
inference(superposition,[status(thm)],[c_4712,c_420]) ).
cnf(c_4815,plain,
sP13_iProver_def(X0,X0) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_4712,c_420]) ).
cnf(c_4834,plain,
sP11_iProver_def(inverse(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))) = sP13_iProver_def(inverse(sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_4712,c_1232]) ).
cnf(c_4839,plain,
sP11_iProver_def(inverse(multiply(X0,inverse(multiply(X0,sP11_iProver_def(X0)))))) = sP13_iProver_def(inverse(sP1_iProver_def),sP11_iProver_def(X0)),
inference(superposition,[status(thm)],[c_4712,c_1617]) ).
cnf(c_4843,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4794,c_1046]) ).
cnf(c_4878,plain,
sP13_iProver_def(inverse(sP1_iProver_def),sP11_iProver_def(X0)) = multiply(X0,inverse(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_4839,c_1046,c_3560,c_4281]) ).
cnf(c_4879,plain,
multiply(inverse(X0),inverse(sP1_iProver_def)) = sP13_iProver_def(inverse(sP1_iProver_def),X0),
inference(demodulation,[status(thm)],[c_4834,c_1046,c_4712]) ).
cnf(c_4882,plain,
sP13_iProver_def(multiply(X0,X1),multiply(X0,X1)) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4748,c_1009,c_3822]) ).
cnf(c_4926,plain,
sP13_iProver_def(sP13_iProver_def(X0,X1),sP13_iProver_def(X0,X1)) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4771,c_1046,c_1187,c_1383]) ).
cnf(c_5033,plain,
multiply(sP13_iProver_def(X0,X1),inverse(sP13_iProver_def(inverse(sP1_iProver_def),X2))) = sP13_iProver_def(X2,sP11_iProver_def(sP13_iProver_def(X0,X1))),
inference(demodulation,[status(thm)],[c_1254,c_1225,c_1046,c_3822,c_4712,c_4815,c_4879,c_4882]) ).
cnf(c_5125,plain,
multiply(inverse(sP13_iProver_def(X0,inverse(sP1_iProver_def))),X0) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_4815,c_4528]) ).
cnf(c_5174,plain,
multiply(X0,sP11_iProver_def(X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1009,c_4843]) ).
cnf(c_5855,plain,
inverse(multiply(inverse(sP13_iProver_def(sP11_iProver_def(X0),X1)),multiply(inverse(X1),X2))) = sP13_iProver_def(inverse(multiply(X0,inverse(sP1_iProver_def))),X2),
inference(demodulation,[status(thm)],[c_1459,c_4712,c_4815,c_4879]) ).
cnf(c_5860,plain,
inverse(multiply(inverse(sP13_iProver_def(X0,X1)),multiply(inverse(X1),X2))) = sP13_iProver_def(inverse(multiply(inverse(X0),inverse(sP1_iProver_def))),X2),
inference(superposition,[status(thm)],[c_1046,c_5855]) ).
cnf(c_5886,plain,
inverse(multiply(inverse(sP13_iProver_def(sP11_iProver_def(X0),a1)),multiply(sP7_iProver_def,X1))) = sP13_iProver_def(inverse(multiply(X0,inverse(sP1_iProver_def))),X1),
inference(superposition,[status(thm)],[c_71,c_5855]) ).
cnf(c_5980,plain,
inverse(multiply(inverse(sP13_iProver_def(X0,X1)),multiply(inverse(X1),X2))) = sP13_iProver_def(inverse(sP13_iProver_def(inverse(sP1_iProver_def),X0)),X2),
inference(demodulation,[status(thm)],[c_5860,c_4879]) ).
cnf(c_6058,plain,
sP13_iProver_def(inverse(sP13_iProver_def(inverse(sP1_iProver_def),X0)),inverse(sP1_iProver_def)) = X0,
inference(demodulation,[status(thm)],[c_1461,c_4712,c_5980]) ).
cnf(c_6144,plain,
sP13_iProver_def(inverse(multiply(X0,inverse(sP1_iProver_def))),inverse(sP1_iProver_def)) = sP11_iProver_def(X0),
inference(demodulation,[status(thm)],[c_1659,c_4441,c_5886]) ).
cnf(c_6217,plain,
sP13_iProver_def(inverse(sP1_iProver_def),inverse(sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4879,c_4843]) ).
cnf(c_6240,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_6217,c_4815]) ).
cnf(c_6272,plain,
multiply(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_6240,c_4843]) ).
cnf(c_6279,plain,
sP11_iProver_def(sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_6240,c_1046]) ).
cnf(c_6281,plain,
multiply(inverse(X0),sP1_iProver_def) = sP13_iProver_def(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_6240,c_4879]) ).
cnf(c_6282,plain,
sP13_iProver_def(sP1_iProver_def,sP11_iProver_def(X0)) = multiply(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_6240,c_4878]) ).
cnf(c_6283,plain,
sP13_iProver_def(inverse(multiply(X0,sP1_iProver_def)),sP1_iProver_def) = sP11_iProver_def(X0),
inference(superposition,[status(thm)],[c_6240,c_6144]) ).
cnf(c_6290,plain,
sP13_iProver_def(inverse(sP13_iProver_def(sP1_iProver_def,X0)),sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_6240,c_6058]) ).
cnf(c_6296,plain,
sP13_iProver_def(sP13_iProver_def(X0,sP1_iProver_def),X1) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_6240,c_4528]) ).
cnf(c_6352,plain,
inverse(multiply(inverse(sP1_iProver_def),sP2_iProver_def)) = sP13_iProver_def(sP1_iProver_def,a2),
inference(superposition,[status(thm)],[c_6272,c_1206]) ).
cnf(c_6353,plain,
inverse(multiply(inverse(sP2_iProver_def),sP1_iProver_def)) = sP13_iProver_def(a2,sP1_iProver_def),
inference(superposition,[status(thm)],[c_6272,c_1193]) ).
cnf(c_6355,plain,
inverse(sP13_iProver_def(sP1_iProver_def,sP2_iProver_def)) = sP13_iProver_def(a2,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_6353,c_6281]) ).
cnf(c_6356,plain,
inverse(multiply(sP1_iProver_def,sP2_iProver_def)) = sP13_iProver_def(sP1_iProver_def,a2),
inference(demodulation,[status(thm)],[c_6352,c_6240]) ).
cnf(c_6730,plain,
sP11_iProver_def(sP13_iProver_def(sP1_iProver_def,a2)) = multiply(sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_6356,c_1046]) ).
cnf(c_6805,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,sP13_iProver_def(sP1_iProver_def,inverse(sP13_iProver_def(sP1_iProver_def,X2))))))),sP13_iProver_def(X2,sP11_iProver_def(X0)))) = sP11_iProver_def(X1),
inference(demodulation,[status(thm)],[c_2181,c_3560,c_4281,c_4712,c_6240,c_6272,c_6281]) ).
cnf(c_7166,plain,
multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,sP13_iProver_def(sP1_iProver_def,inverse(sP13_iProver_def(sP1_iProver_def,X2))))))),sP13_iProver_def(X2,X0)) = sP11_iProver_def(sP11_iProver_def(X1)),
inference(demodulation,[status(thm)],[c_2208,c_4712,c_6240,c_6272,c_6281]) ).
cnf(c_7401,plain,
inverse(multiply(sP1_iProver_def,multiply(sP11_iProver_def(X0),X1))) = sP13_iProver_def(sP11_iProver_def(sP11_iProver_def(X0)),X1),
inference(demodulation,[status(thm)],[c_2225,c_1046,c_1383,c_2822,c_4926,c_6240]) ).
cnf(c_7645,plain,
multiply(sP11_iProver_def(X0),inverse(multiply(X1,sP1_iProver_def))) = sP13_iProver_def(sP11_iProver_def(X1),sP11_iProver_def(sP11_iProver_def(X0))),
inference(demodulation,[status(thm)],[c_2244,c_4712,c_4926,c_6240,c_6272,c_6281,c_7166]) ).
cnf(c_7649,plain,
multiply(X0,inverse(multiply(X1,sP1_iProver_def))) = sP13_iProver_def(sP11_iProver_def(X1),sP11_iProver_def(X0)),
inference(superposition,[status(thm)],[c_1046,c_7645]) ).
cnf(c_7708,plain,
multiply(inverse(sP13_iProver_def(X0,sP1_iProver_def)),X0) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_5125,c_6240]) ).
cnf(c_7730,plain,
multiply(inverse(sP1_iProver_def),multiply(inverse(sP13_iProver_def(X0,sP1_iProver_def)),X1)) = sP11_iProver_def(sP13_iProver_def(X0,X1)),
inference(superposition,[status(thm)],[c_7708,c_1225]) ).
cnf(c_7731,plain,
inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP13_iProver_def(X0,sP1_iProver_def)),X1))) = sP13_iProver_def(X0,X1),
inference(superposition,[status(thm)],[c_7708,c_420]) ).
cnf(c_7784,plain,
multiply(inverse(X0),X1) = sP13_iProver_def(X1,X0),
inference(demodulation,[status(thm)],[c_7731,c_4814,c_6296]) ).
cnf(c_7785,plain,
sP11_iProver_def(multiply(inverse(X0),X1)) = sP11_iProver_def(sP13_iProver_def(X1,X0)),
inference(demodulation,[status(thm)],[c_7730,c_4813,c_6296]) ).
cnf(c_7953,plain,
multiply(sP9_iProver_def,X0) = sP13_iProver_def(X0,b1),
inference(superposition,[status(thm)],[c_73,c_7784]) ).
cnf(c_7961,plain,
multiply(sP1_iProver_def,X0) = sP13_iProver_def(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_6240,c_7784]) ).
cnf(c_7968,plain,
sP13_iProver_def(X0,sP11_iProver_def(X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_1009,c_7784]) ).
cnf(c_8016,plain,
sP13_iProver_def(X0,X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_7784,c_4843]) ).
cnf(c_8019,plain,
multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(inverse(sP13_iProver_def(X0,X0))),inverse(multiply(inverse(inverse(sP13_iProver_def(X0,X0))),inverse(sP13_iProver_def(X0,X0)))))))) = sP13_iProver_def(sP11_iProver_def(X1),X0),
inference(superposition,[status(thm)],[c_7784,c_1383]) ).
cnf(c_8057,plain,
sP13_iProver_def(multiply(X0,X1),multiply(X0,X2)) = sP11_iProver_def(sP13_iProver_def(X2,X1)),
inference(superposition,[status(thm)],[c_7784,c_1225]) ).
cnf(c_8267,plain,
sP13_iProver_def(inverse(multiply(X0,sP1_iProver_def)),X1) = sP13_iProver_def(sP11_iProver_def(X0),X1),
inference(demodulation,[status(thm)],[c_8019,c_4417,c_4712,c_4815,c_6240,c_7784]) ).
cnf(c_8528,plain,
multiply(sP1_iProver_def,inverse(sP13_iProver_def(inverse(sP1_iProver_def),X0))) = sP13_iProver_def(X0,sP11_iProver_def(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_8016,c_5033]) ).
cnf(c_8556,plain,
inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,sP13_iProver_def(sP1_iProver_def,inverse(sP1_iProver_def)))))),sP13_iProver_def(sP1_iProver_def,sP11_iProver_def(X0)))) = sP11_iProver_def(X1),
inference(superposition,[status(thm)],[c_8016,c_6805]) ).
cnf(c_8557,plain,
sP13_iProver_def(X0,sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_8528,c_6240,c_6290,c_7961,c_7968]) ).
cnf(c_8560,plain,
sP13_iProver_def(sP11_iProver_def(X0),sP1_iProver_def) = sP11_iProver_def(X0),
inference(demodulation,[status(thm)],[c_8556,c_1009,c_4417,c_6240,c_6282,c_7649,c_7784,c_8057,c_7968]) ).
cnf(c_8598,plain,
inverse(multiply(inverse(sP11_iProver_def(X0)),multiply(inverse(sP1_iProver_def),X1))) = sP13_iProver_def(inverse(multiply(X0,inverse(sP1_iProver_def))),X1),
inference(superposition,[status(thm)],[c_8557,c_5855]) ).
cnf(c_8620,plain,
inverse(sP13_iProver_def(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_8557,c_6290]) ).
cnf(c_8631,plain,
inverse(multiply(X0,X1)) = sP13_iProver_def(sP11_iProver_def(X0),X1),
inference(demodulation,[status(thm)],[c_8598,c_6240,c_7784,c_7968,c_8267,c_8557]) ).
cnf(c_8691,plain,
sP13_iProver_def(sP1_iProver_def,X0) = sP11_iProver_def(X0),
inference(superposition,[status(thm)],[c_8620,c_1046]) ).
cnf(c_8692,plain,
multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(X0,multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),sP10_iProver_def) = sP11_iProver_def(sP13_iProver_def(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_8620,c_507]) ).
cnf(c_8698,plain,
sP13_iProver_def(a2,sP1_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_8620,c_6355]) ).
cnf(c_8704,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_8698,c_8557]) ).
cnf(c_8707,plain,
sP11_iProver_def(sP13_iProver_def(sP1_iProver_def,X0)) = multiply(X0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_8692,c_1494,c_4386,c_6282,c_7784,c_7953]) ).
cnf(c_8829,plain,
sP11_iProver_def(sP13_iProver_def(sP1_iProver_def,sP2_iProver_def)) = multiply(sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_8704,c_6730]) ).
cnf(c_8832,plain,
( sP4_iProver_def != sP6_iProver_def
| sP8_iProver_def != sP10_iProver_def ),
inference(superposition,[status(thm)],[c_8704,c_75]) ).
cnf(c_8834,plain,
multiply(sP2_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_8829,c_7961,c_8557,c_8707]) ).
cnf(c_8835,plain,
( sP1_iProver_def != sP1_iProver_def
| sP4_iProver_def != sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_8832,c_4386,c_4464]) ).
cnf(c_8836,plain,
sP4_iProver_def != sP6_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_8835]) ).
cnf(c_8842,plain,
multiply(inverse(sP2_iProver_def),multiply(sP2_iProver_def,X0)) = sP11_iProver_def(sP13_iProver_def(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_8834,c_1225]) ).
cnf(c_8846,plain,
sP13_iProver_def(inverse(sP2_iProver_def),sP1_iProver_def) = sP11_iProver_def(sP2_iProver_def),
inference(superposition,[status(thm)],[c_8834,c_6283]) ).
cnf(c_8850,plain,
inverse(sP2_iProver_def) = sP11_iProver_def(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_8846,c_8557]) ).
cnf(c_8853,plain,
sP13_iProver_def(multiply(sP2_iProver_def,X0),sP2_iProver_def) = multiply(X0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_8842,c_7784,c_8707]) ).
cnf(c_9071,plain,
sP13_iProver_def(sP11_iProver_def(sP13_iProver_def(sP5_iProver_def,X0)),sP13_iProver_def(X1,sP6_iProver_def)) = sP13_iProver_def(multiply(a3,X0),X1),
inference(demodulation,[status(thm)],[c_2404,c_7784,c_8631]) ).
cnf(c_9074,plain,
sP13_iProver_def(sP11_iProver_def(sP1_iProver_def),sP13_iProver_def(X0,sP6_iProver_def)) = sP13_iProver_def(multiply(a3,sP5_iProver_def),X0),
inference(superposition,[status(thm)],[c_8016,c_9071]) ).
cnf(c_9089,plain,
sP11_iProver_def(sP13_iProver_def(X0,sP6_iProver_def)) = sP13_iProver_def(sP6_iProver_def,X0),
inference(demodulation,[status(thm)],[c_9074,c_70,c_6279,c_8691]) ).
cnf(c_9114,plain,
sP11_iProver_def(sP11_iProver_def(sP13_iProver_def(sP5_iProver_def,X0))) = sP13_iProver_def(sP6_iProver_def,multiply(a3,X0)),
inference(demodulation,[status(thm)],[c_2406,c_7785,c_9089]) ).
cnf(c_9117,plain,
sP11_iProver_def(sP11_iProver_def(sP13_iProver_def(sP5_iProver_def,sP11_iProver_def(a3)))) = sP13_iProver_def(sP6_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_5174,c_9114]) ).
cnf(c_9122,plain,
sP11_iProver_def(sP11_iProver_def(sP6_iProver_def)) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_9117,c_70,c_7968,c_8557]) ).
cnf(c_9166,plain,
sP11_iProver_def(sP11_iProver_def(sP2_iProver_def)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_8850,c_1046]) ).
cnf(c_9235,plain,
inverse(sP6_iProver_def) = sP11_iProver_def(sP6_iProver_def),
inference(superposition,[status(thm)],[c_9122,c_1009]) ).
cnf(c_9258,plain,
inverse(multiply(inverse(multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(inverse(sP11_iProver_def(sP2_iProver_def)),multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),X0)),sP2_iProver_def)) = sP13_iProver_def(X0,sP10_iProver_def),
inference(superposition,[status(thm)],[c_9166,c_1212]) ).
cnf(c_9266,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_9258,c_1046,c_1494,c_4386,c_7784,c_7953,c_7968,c_8557,c_8631,c_8853]) ).
cnf(c_9295,plain,
inverse(multiply(sP11_iProver_def(sP6_iProver_def),sP3_iProver_def)) = sP13_iProver_def(sP5_iProver_def,b3),
inference(superposition,[status(thm)],[c_9235,c_2392]) ).
cnf(c_9297,plain,
sP13_iProver_def(sP5_iProver_def,b3) = sP13_iProver_def(sP6_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_9295,c_8631,c_9122]) ).
cnf(c_9361,plain,
inverse(multiply(inverse(sP5_iProver_def),b3)) = sP13_iProver_def(c3,sP1_iProver_def),
inference(superposition,[status(thm)],[c_9266,c_1191]) ).
cnf(c_9384,plain,
inverse(multiply(sP1_iProver_def,sP11_iProver_def(X0))) = sP13_iProver_def(sP11_iProver_def(sP11_iProver_def(X0)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_9266,c_7401]) ).
cnf(c_9393,plain,
sP13_iProver_def(sP1_iProver_def,X0) = inverse(X0),
inference(superposition,[status(thm)],[c_9266,c_6281]) ).
cnf(c_9403,plain,
inverse(X0) = sP11_iProver_def(X0),
inference(demodulation,[status(thm)],[c_9393,c_8691]) ).
cnf(c_9411,plain,
sP13_iProver_def(sP5_iProver_def,b3) = c3,
inference(demodulation,[status(thm)],[c_9361,c_1046,c_8557,c_8631]) ).
cnf(c_9421,plain,
sP11_iProver_def(sP11_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_9384,c_6279,c_7968,c_8560,c_8631,c_9266]) ).
cnf(c_9981,plain,
inverse(multiply(sP11_iProver_def(multiply(inverse(multiply(sP9_iProver_def,inverse(multiply(inverse(X0),multiply(sP9_iProver_def,inverse(sP10_iProver_def)))))),X1)),sP11_iProver_def(X0))) = sP13_iProver_def(X1,sP10_iProver_def),
inference(superposition,[status(thm)],[c_9403,c_1212]) ).
cnf(c_10121,plain,
multiply(X0,sP13_iProver_def(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_9981,c_1046,c_1494,c_4386,c_7784,c_7953,c_7968,c_8557,c_8631,c_9421]) ).
cnf(c_14146,plain,
sP13_iProver_def(sP6_iProver_def,sP3_iProver_def) = c3,
inference(demodulation,[status(thm)],[c_9297,c_9411]) ).
cnf(c_14325,plain,
multiply(sP3_iProver_def,c3) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_14146,c_10121]) ).
cnf(c_14435,plain,
sP4_iProver_def = sP6_iProver_def,
inference(superposition,[status(thm)],[c_14325,c_68]) ).
cnf(c_14452,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14435,c_8836]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : GRP055-1 : TPTP v8.2.0. Released v1.0.0.
% 0.04/0.15 % Command : run_iprover %s %d THM
% 0.14/0.37 % Computer : n022.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Jun 20 12:24:39 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.36/0.54 Running first-order theorem proving
% 0.36/0.54 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
% 20.44/3.73 % SZS status Started for theBenchmark.p
% 20.44/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 20.44/3.73
% 20.44/3.73 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.44/3.73
% 20.44/3.73 ------ iProver source info
% 20.44/3.73
% 20.44/3.73 git: date: 2024-06-12 09:56:46 +0000
% 20.44/3.73 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 20.44/3.73 git: non_committed_changes: false
% 20.44/3.73
% 20.44/3.73 ------ Parsing...successful
% 20.44/3.73
% 20.44/3.73
% 20.44/3.73
% 20.44/3.73 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 20.44/3.73
% 20.44/3.73 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.44/3.73
% 20.44/3.73 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.44/3.73 ------ Proving...
% 20.44/3.73 ------ Problem Properties
% 20.44/3.73
% 20.44/3.73
% 20.44/3.73 clauses 13
% 20.44/3.73 conjectures 1
% 20.44/3.73 EPR 1
% 20.44/3.73 Horn 13
% 20.44/3.73 unary 12
% 20.44/3.73 binary 0
% 20.44/3.73 lits 15
% 20.44/3.73 lits eq 15
% 20.44/3.73 fd_pure 0
% 20.44/3.73 fd_pseudo 0
% 20.44/3.73 fd_cond 0
% 20.44/3.73 fd_pseudo_cond 0
% 20.44/3.73 AC symbols 0
% 20.44/3.73
% 20.44/3.73 ------ Input Options Time Limit: Unbounded
% 20.44/3.73
% 20.44/3.73
% 20.44/3.73 ------
% 20.44/3.73 Current options:
% 20.44/3.73 ------
% 20.44/3.73
% 20.44/3.73
% 20.44/3.73
% 20.44/3.73
% 20.44/3.73 ------ Proving...
% 20.44/3.73
% 20.44/3.73
% 20.44/3.73 % SZS status Unsatisfiable for theBenchmark.p
% 20.44/3.73
% 20.44/3.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.44/3.73
% 20.44/3.73
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