TSTP Solution File: GRP423-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP423-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 06:08:35 EDT 2024
% Result : Unsatisfiable 30.42s 4.69s
% Output : Refutation 30.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f69190,plain,
$false,
inference(trivial_inequality_removal,[],[f69163]) ).
fof(f69163,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f68985]) ).
fof(f68985,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f68984,f68978]) ).
fof(f68978,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X2),multiply(inverse(X2),X1)),
inference(forward_demodulation,[],[f68879,f27193]) ).
fof(f27193,plain,
! [X2,X3] : multiply(inverse(X3),X2) = inverse(multiply(inverse(X2),X3)),
inference(backward_demodulation,[],[f27150,f27192]) ).
fof(f27192,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(forward_demodulation,[],[f27191,f27105]) ).
fof(f27105,plain,
! [X3,X0] : multiply(inverse(X0),inverse(multiply(inverse(X3),inverse(X0)))) = X3,
inference(backward_demodulation,[],[f22049,f27101]) ).
fof(f27101,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f27015,f25896]) ).
fof(f25896,plain,
! [X2,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))) = X2,
inference(backward_demodulation,[],[f20514,f25542]) ).
fof(f25542,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(X3,multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))) = X3,
inference(backward_demodulation,[],[f3190,f25460]) ).
fof(f25460,plain,
! [X6,X4,X5] : inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X6))) = multiply(inverse(X6),X5),
inference(forward_demodulation,[],[f25420,f24890]) ).
fof(f24890,plain,
! [X2,X3] : inverse(multiply(inverse(X3),multiply(inverse(X2),X2))) = X3,
inference(forward_demodulation,[],[f24037,f21921]) ).
fof(f21921,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1)))) = X2,
inference(backward_demodulation,[],[f9397,f21920]) ).
fof(f21920,plain,
! [X2,X0,X4] : multiply(inverse(inverse(X4)),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X0),X0)))))) = X4,
inference(forward_demodulation,[],[f21648,f20915]) ).
fof(f20915,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X0),X0))))) = X3,
inference(backward_demodulation,[],[f3550,f20845]) ).
fof(f20845,plain,
! [X2,X0,X4] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X4)),multiply(inverse(X2),X2))) = X4,
inference(backward_demodulation,[],[f3834,f20545]) ).
fof(f20545,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))) = X2,
inference(superposition,[],[f1817,f19776]) ).
fof(f19776,plain,
! [X2,X3] : multiply(inverse(X2),X2) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[],[f19292,f3547]) ).
fof(f3547,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f1329,f3365]) ).
fof(f3365,plain,
! [X2,X1] : inverse(inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f3220,f1321]) ).
fof(f1321,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0)),
inference(superposition,[],[f1124,f997]) ).
fof(f997,plain,
! [X3,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[],[f728,f650]) ).
fof(f650,plain,
! [X3,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)) = X1,
inference(forward_demodulation,[],[f555,f17]) ).
fof(f17,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : 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,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f555,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(superposition,[],[f3,f5]) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f728,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(X3,multiply(X0,X2))),multiply(X3,multiply(X0,X2)))),
inference(superposition,[],[f24,f650]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3))) = inverse(multiply(inverse(multiply(X4,multiply(X0,X2))),multiply(X4,X3))),
inference(superposition,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X0))),
inference(superposition,[],[f5,f5]) ).
fof(f1124,plain,
! [X0,X4,X5] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X4,X5)),multiply(X4,X5)),
inference(forward_demodulation,[],[f1072,f1026]) ).
fof(f1026,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,multiply(X3,X4))),multiply(X2,multiply(X3,X4))))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) = X1,
inference(superposition,[],[f17,f728]) ).
fof(f1072,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X4,X5)),
inference(superposition,[],[f650,f728]) ).
fof(f3220,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(X0),X0))) = inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X1)))),
inference(superposition,[],[f651,f1817]) ).
fof(f651,plain,
! [X3,X1,X4] : inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)))) = X1,
inference(forward_demodulation,[],[f558,f650]) ).
fof(f558,plain,
! [X3,X1,X6,X4,X5] : multiply(inverse(multiply(X5,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),multiply(X5,X6)) = inverse(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)))),
inference(superposition,[],[f3,f3]) ).
fof(f1329,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f1124,f1124]) ).
fof(f19292,plain,
! [X2,X3,X1] : inverse(multiply(inverse(X3),X3)) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f1175,f18574]) ).
fof(f18574,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f1182,f9553]) ).
fof(f9553,plain,
! [X3,X0,X1] : multiply(inverse(X3),X3) = multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f9383,f1211]) ).
fof(f1211,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X2)))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = X0,
inference(superposition,[],[f17,f997]) ).
fof(f9383,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),X1)) = multiply(inverse(X3),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),inverse(multiply(inverse(X3),X3)))))),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),
inference(superposition,[],[f16,f1900]) ).
fof(f1900,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X1),X1))),
inference(superposition,[],[f1817,f1329]) ).
fof(f16,plain,
! [X2,X1] : multiply(inverse(X2),inverse(multiply(inverse(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))))),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f1182,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(inverse(inverse(X3)),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))),multiply(X2,X0)) = X3,
inference(superposition,[],[f650,f997]) ).
fof(f1175,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))),multiply(X2,X0))) = X3,
inference(superposition,[],[f1,f997]) ).
fof(f1817,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))) = X0,
inference(superposition,[],[f1191,f1329]) ).
fof(f1191,plain,
! [X2,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) = X1,
inference(superposition,[],[f17,f997]) ).
fof(f3834,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X4)),multiply(inverse(X2),X2))) = inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),inverse(multiply(inverse(X1),X1))))),
inference(superposition,[],[f1209,f3547]) ).
fof(f1209,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X2))) = inverse(multiply(inverse(multiply(X3,X0)),multiply(X3,X2))),
inference(superposition,[],[f12,f997]) ).
fof(f3550,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X0),X0))))) = inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),X3)),multiply(inverse(X4),X4))),
inference(superposition,[],[f1410,f3365]) ).
fof(f1410,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X0))) = inverse(multiply(inverse(multiply(inverse(X0),X2)),multiply(inverse(X1),X1))),
inference(superposition,[],[f12,f1329]) ).
fof(f21648,plain,
! [X2,X3,X0,X4] : multiply(inverse(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X0),X0)))))) = X4,
inference(backward_demodulation,[],[f16234,f21107]) ).
fof(f21107,plain,
! [X3,X1] : multiply(inverse(inverse(X3)),multiply(inverse(X1),X1)) = X3,
inference(backward_demodulation,[],[f16300,f20915]) ).
fof(f16300,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X0),X0)))))),multiply(inverse(X1),X1)) = X3,
inference(superposition,[],[f714,f3547]) ).
fof(f714,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))) = X1,
inference(superposition,[],[f650,f5]) ).
fof(f16234,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),X1))))))),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),X1))))))) = X4,
inference(superposition,[],[f714,f3379]) ).
fof(f3379,plain,
! [X2,X3,X4] : inverse(inverse(multiply(inverse(X4),X4))) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(X3),X3)))),
inference(superposition,[],[f3220,f1900]) ).
fof(f9397,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X1),X1)))),multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))) = X2,
inference(superposition,[],[f16,f3547]) ).
fof(f24037,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),multiply(inverse(X1),X1))))),multiply(inverse(X2),X2))) = X3,
inference(backward_demodulation,[],[f22070,f24031]) ).
fof(f24031,plain,
! [X4,X5] : multiply(inverse(inverse(multiply(inverse(X4),X4))),X5) = X5,
inference(forward_demodulation,[],[f23812,f21107]) ).
fof(f23812,plain,
! [X2,X1,X4,X5] : multiply(inverse(inverse(multiply(inverse(X4),X4))),multiply(inverse(inverse(X5)),multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X1),X2)))) = X5,
inference(backward_demodulation,[],[f16695,f23318]) ).
fof(f23318,plain,
! [X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,X3))),multiply(inverse(multiply(inverse(X1),X1)),X4))) = multiply(inverse(X4),multiply(inverse(X0),X3)),
inference(backward_demodulation,[],[f1212,f23029]) ).
fof(f23029,plain,
! [X2,X0,X4,X5] : inverse(multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,X4))) = multiply(inverse(X4),multiply(X0,X2)),
inference(backward_demodulation,[],[f25,f22965]) ).
fof(f22965,plain,
! [X3,X0,X8,X6,X7] : inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X7,X3))),multiply(inverse(multiply(X0,X8)),X6))) = multiply(inverse(X6),multiply(X0,X3)),
inference(backward_demodulation,[],[f140,f22883]) ).
fof(f22883,plain,
! [X2,X3,X0,X1,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X2))),multiply(inverse(multiply(X1,X5)),X3))),multiply(inverse(multiply(X0,multiply(X1,X2))),X7))) = multiply(inverse(X7),multiply(X0,X3)),
inference(backward_demodulation,[],[f403,f22398]) ).
fof(f22398,plain,
! [X2,X3,X0,X4] : multiply(inverse(X0),multiply(X2,X3)) = inverse(multiply(X4,multiply(inverse(multiply(X2,inverse(multiply(inverse(X4),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X0))),
inference(backward_demodulation,[],[f17914,f22246]) ).
fof(f22246,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),X1))))) = X3,
inference(backward_demodulation,[],[f1179,f22217]) ).
fof(f22217,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),multiply(inverse(X0),X3)) = multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),X3)),
inference(backward_demodulation,[],[f765,f21930]) ).
fof(f21930,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))))),multiply(X3,X2)),
inference(backward_demodulation,[],[f9539,f21920]) ).
fof(f9539,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))),multiply(X3,X2)) = multiply(inverse(X1),multiply(inverse(X0),X2)),
inference(superposition,[],[f711,f16]) ).
fof(f711,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[],[f650,f17]) ).
fof(f765,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0)))),multiply(inverse(X0),X3)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))),multiply(X4,X3)),
inference(superposition,[],[f711,f5]) ).
fof(f1179,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))) = X3,
inference(superposition,[],[f17,f997]) ).
fof(f17914,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X4,multiply(inverse(multiply(X2,inverse(multiply(inverse(X4),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X0))) = multiply(inverse(X0),inverse(multiply(inverse(multiply(X2,X3)),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f14,f3547]) ).
fof(f14,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),inverse(multiply(inverse(multiply(X0,X2)),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))) = inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3))),
inference(superposition,[],[f5,f1]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X2))),multiply(inverse(multiply(X1,X5)),X3))),multiply(inverse(multiply(X0,multiply(X1,X2))),X7))) = inverse(multiply(X6,multiply(inverse(multiply(X0,inverse(multiply(inverse(X6),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X7))),
inference(superposition,[],[f24,f25]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X7,X3))),multiply(inverse(multiply(X0,X8)),X6))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X2))),multiply(inverse(multiply(X1,X5)),X3))),multiply(inverse(multiply(X0,multiply(X1,X2))),X6))),
inference(superposition,[],[f25,f25]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,X4))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(X0,X1)),X4))),
inference(superposition,[],[f12,f12]) ).
fof(f1212,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X2,multiply(inverse(X0),X3))),multiply(X2,X4))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,X3))),multiply(inverse(multiply(inverse(X1),X1)),X4))),
inference(superposition,[],[f25,f997]) ).
fof(f16695,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(inverse(multiply(inverse(X4),X4))),multiply(inverse(inverse(X5)),inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)))))) = X5,
inference(superposition,[],[f16474,f1209]) ).
fof(f16474,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[],[f16152,f1329]) ).
fof(f16152,plain,
! [X2,X1] : multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(inverse(inverse(X1)),inverse(multiply(inverse(inverse(X1)),inverse(X1))))) = X1,
inference(superposition,[],[f714,f10692]) ).
fof(f10692,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X3) = multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)),multiply(inverse(multiply(inverse(X0),X0)),X1)),
inference(superposition,[],[f1329,f9570]) ).
fof(f9570,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),X0)),X1)) = inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)),
inference(backward_demodulation,[],[f9522,f9538]) ).
fof(f9538,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))))) = multiply(inverse(multiply(inverse(X0),X2)),X1),
inference(superposition,[],[f711,f16]) ).
fof(f9522,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)) = inverse(multiply(inverse(multiply(X3,X0)),multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))))),
inference(superposition,[],[f1209,f16]) ).
fof(f22070,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),X1)),X1))))),multiply(inverse(X2),X2))) = X3,
inference(backward_demodulation,[],[f13839,f21929]) ).
fof(f21929,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),X2)),X1) = multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(multiply(inverse(X0),X0))))))),
inference(backward_demodulation,[],[f9538,f21920]) ).
fof(f13839,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))))))))),multiply(inverse(X2),X2))) = X3,
inference(superposition,[],[f20,f9553]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(X0,X1)),multiply(inverse(X1),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))))))))),multiply(X2,multiply(X0,X1)))) = X3,
inference(superposition,[],[f1,f5]) ).
fof(f25420,plain,
! [X2,X6,X4,X5] : inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X6))) = inverse(multiply(inverse(multiply(inverse(X6),X5)),multiply(inverse(X2),X2))),
inference(backward_demodulation,[],[f19115,f25413]) ).
fof(f25413,plain,
! [X3,X0,X4] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(inverse(X0),X0)))) = X4,
inference(backward_demodulation,[],[f18564,f25384]) ).
fof(f25384,plain,
! [X3,X0,X1] : multiply(inverse(inverse(X3)),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0))) = X3,
inference(backward_demodulation,[],[f24892,f25383]) ).
fof(f25383,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X0),X0)))) = X3,
inference(forward_demodulation,[],[f24894,f24890]) ).
fof(f24894,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))))),multiply(X2,multiply(inverse(X0),X0)))) = X3,
inference(backward_demodulation,[],[f1226,f24890]) ).
fof(f1226,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0)))))))),multiply(X2,multiply(inverse(X0),X0)))) = X3,
inference(superposition,[],[f1,f997]) ).
fof(f24892,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X0),X0))))),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0))) = X3,
inference(backward_demodulation,[],[f16297,f24890]) ).
fof(f16297,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X0),X0))))),multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))) = X3,
inference(superposition,[],[f714,f9550]) ).
fof(f9550,plain,
! [X2,X3,X1] : multiply(inverse(multiply(inverse(X3),X3)),X1) = multiply(inverse(multiply(inverse(X2),X2)),X1),
inference(superposition,[],[f6399,f16]) ).
fof(f6399,plain,
! [X3,X1,X4,X5] : multiply(inverse(multiply(inverse(X3),X3)),multiply(X1,X4)) = multiply(inverse(multiply(inverse(X5),X5)),multiply(X1,X4)),
inference(superposition,[],[f2105,f1817]) ).
fof(f2105,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X3)) = multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X0),X3)),
inference(superposition,[],[f1220,f1329]) ).
fof(f1220,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X2)) = multiply(inverse(multiply(X3,X0)),multiply(X3,X2)),
inference(superposition,[],[f711,f997]) ).
fof(f18564,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(inverse(inverse(X4)),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))))),multiply(X3,inverse(multiply(inverse(X0),X0)))) = X4,
inference(superposition,[],[f1182,f1321]) ).
fof(f19115,plain,
! [X2,X3,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X6))) = inverse(multiply(inverse(multiply(inverse(X6),X5)),multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1410,f18574]) ).
fof(f3190,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(X2,inverse(multiply(X3,multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))),multiply(X2,X0)))) = X3,
inference(superposition,[],[f651,f1329]) ).
fof(f20514,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),multiply(inverse(X0),inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f1175,f19776]) ).
fof(f27015,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X1),X1))) = inverse(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2))))),
inference(backward_demodulation,[],[f17027,f27013]) ).
fof(f27013,plain,
! [X6,X4,X5] : multiply(inverse(multiply(X4,X5)),multiply(X4,X6)) = inverse(multiply(inverse(X6),X5)),
inference(backward_demodulation,[],[f17205,f26887]) ).
fof(f26887,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))))),multiply(X0,X2)))) = X4,
inference(backward_demodulation,[],[f17252,f26873]) ).
fof(f26873,plain,
! [X2,X0] : multiply(X0,multiply(inverse(X2),X2)) = X0,
inference(forward_demodulation,[],[f26872,f25896]) ).
fof(f26872,plain,
! [X2,X0,X5] : multiply(X0,multiply(inverse(X2),X2)) = inverse(multiply(inverse(X0),inverse(multiply(inverse(X5),X5)))),
inference(backward_demodulation,[],[f26027,f26871]) ).
fof(f26871,plain,
! [X2,X0,X4,X5] : multiply(inverse(X0),X4) = multiply(inverse(multiply(X5,multiply(X0,multiply(inverse(X2),X2)))),multiply(X5,X4)),
inference(forward_demodulation,[],[f26794,f26265]) ).
fof(f26265,plain,
! [X2,X3] : multiply(inverse(multiply(inverse(X2),X2)),X3) = X3,
inference(backward_demodulation,[],[f20902,f25903]) ).
fof(f25903,plain,
! [X2,X1] : multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X1))) = X2,
inference(backward_demodulation,[],[f20517,f25542]) ).
fof(f20517,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(inverse(X2)),multiply(inverse(X0),inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[],[f1182,f19776]) ).
fof(f20902,plain,
! [X2,X3,X4] : multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(inverse(X3)),inverse(multiply(inverse(X4),X4)))) = X3,
inference(backward_demodulation,[],[f16539,f20845]) ).
fof(f16539,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X2),X2))),multiply(inverse(X0),X0)))),multiply(inverse(inverse(X3)),inverse(multiply(inverse(X4),X4)))) = X3,
inference(superposition,[],[f16474,f1900]) ).
fof(f26794,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X0),X4)) = multiply(inverse(multiply(X5,multiply(X0,multiply(inverse(X2),X2)))),multiply(X5,X4)),
inference(backward_demodulation,[],[f5383,f26776]) ).
fof(f26776,plain,
! [X0,X5] : inverse(X0) = inverse(multiply(X0,multiply(inverse(X5),X5))),
inference(backward_demodulation,[],[f25915,f26774]) ).
fof(f26774,plain,
! [X3,X1,X4] : inverse(X3) = inverse(multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,X3))),
inference(forward_demodulation,[],[f26275,f26265]) ).
fof(f26275,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,X3))) = inverse(multiply(inverse(multiply(inverse(X2),X2)),X3)),
inference(backward_demodulation,[],[f1535,f26265]) ).
fof(f1535,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(X0),X0)),X3))) = inverse(multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,X3))),
inference(superposition,[],[f12,f1321]) ).
fof(f25915,plain,
! [X0,X1,X4,X5] : inverse(multiply(X0,multiply(inverse(X5),X5))) = inverse(multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,X0))),
inference(backward_demodulation,[],[f8680,f25889]) ).
fof(f25889,plain,
! [X2,X3,X1] : inverse(multiply(inverse(X3),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))) = X3,
inference(backward_demodulation,[],[f17108,f25542]) ).
fof(f17108,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),multiply(inverse(X0),inverse(multiply(inverse(X4),X4))))))),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[],[f1175,f1321]) ).
fof(f8680,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X4,multiply(inverse(X1),X1))),multiply(X4,X0))) = inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3)))),multiply(inverse(X5),X5))),
inference(superposition,[],[f1410,f7982]) ).
fof(f7982,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(inverse(X3),X3)) = multiply(X2,multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0))),
inference(superposition,[],[f7660,f997]) ).
fof(f7660,plain,
! [X3,X1,X4] : multiply(X1,multiply(inverse(X4),X4)) = multiply(X1,multiply(inverse(X3),X3)),
inference(superposition,[],[f2241,f1817]) ).
fof(f2241,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),X2)),multiply(inverse(X1),X1)) = multiply(inverse(multiply(inverse(X0),X2)),multiply(inverse(X3),X3)),
inference(superposition,[],[f1419,f1329]) ).
fof(f1419,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X2)),multiply(X3,X0)) = multiply(inverse(multiply(inverse(X0),X2)),multiply(inverse(X1),X1)),
inference(superposition,[],[f711,f1329]) ).
fof(f5383,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X4)) = multiply(inverse(multiply(X5,multiply(X0,multiply(inverse(X2),X2)))),multiply(X5,X4)),
inference(superposition,[],[f711,f4836]) ).
fof(f4836,plain,
! [X3,X0,X1,X4] : multiply(inverse(X4),X4) = multiply(inverse(multiply(X3,multiply(inverse(X1),X1))),multiply(X3,multiply(inverse(X0),X0))),
inference(superposition,[],[f1463,f1419]) ).
fof(f1463,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0))),multiply(inverse(X3),X3)),
inference(superposition,[],[f1321,f997]) ).
fof(f26027,plain,
! [X2,X0,X1,X4,X5] : multiply(X0,multiply(inverse(X2),X2)) = inverse(multiply(inverse(multiply(inverse(X4),multiply(X0,multiply(inverse(X1),X1)))),multiply(inverse(X4),inverse(multiply(inverse(X5),X5))))),
inference(backward_demodulation,[],[f17307,f25909]) ).
fof(f25909,plain,
! [X3,X0,X4] : multiply(inverse(X0),X4) = inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),X0))),
inference(backward_demodulation,[],[f2514,f25889]) ).
fof(f2514,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(X0),X4)),multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),X0))),
inference(superposition,[],[f1209,f1321]) ).
fof(f17307,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(inverse(X2),X2)) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X4)))),multiply(inverse(X4),inverse(multiply(inverse(X5),X5))))),
inference(superposition,[],[f1179,f4836]) ).
fof(f17252,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,multiply(inverse(X5),X5)) = multiply(X4,multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))))),multiply(X0,X2)))),
inference(superposition,[],[f7660,f1175]) ).
fof(f17205,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X4,X5)),multiply(X4,X6)) = multiply(inverse(multiply(inverse(X6),X5)),multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))))),multiply(X0,X2)))),
inference(superposition,[],[f1419,f1175]) ).
fof(f17027,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,X0))),
inference(superposition,[],[f1175,f1329]) ).
fof(f22049,plain,
! [X3,X0] : multiply(inverse(X0),inverse(multiply(inverse(X3),multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))))) = X3,
inference(forward_demodulation,[],[f21990,f21107]) ).
fof(f21990,plain,
! [X3,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))))),multiply(inverse(X1),X1)))) = X3,
inference(backward_demodulation,[],[f9507,f21921]) ).
fof(f9507,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(inverse(multiply(inverse(X3),multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))))))) = X3,
inference(superposition,[],[f16,f1321]) ).
fof(f27191,plain,
! [X3,X0] : inverse(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),inverse(X0)))))) = X3,
inference(forward_demodulation,[],[f27124,f27101]) ).
fof(f27124,plain,
! [X3,X0] : inverse(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))))))) = X3,
inference(backward_demodulation,[],[f27100,f27101]) ).
fof(f27100,plain,
! [X3,X0] : inverse(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),inverse(multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),X0)))))))) = X3,
inference(forward_demodulation,[],[f27099,f25896]) ).
fof(f27099,plain,
! [X3,X0,X1] : inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(X3),multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),inverse(multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))))))))))) = X3,
inference(forward_demodulation,[],[f27014,f27013]) ).
fof(f27014,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),inverse(multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))))))),multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))) = X3,
inference(backward_demodulation,[],[f1725,f27013]) ).
fof(f1725,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),inverse(multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))),multiply(X4,X0))))))))),multiply(X2,multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),X1)))),multiply(X4,X0))))) = X3,
inference(superposition,[],[f4,f1329]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X4),multiply(X1,inverse(multiply(X1,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))))))))),multiply(X3,multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f27150,plain,
! [X2,X3] : inverse(multiply(inverse(X2),X3)) = inverse(inverse(multiply(inverse(X3),X2))),
inference(backward_demodulation,[],[f27006,f27119]) ).
fof(f27119,plain,
! [X2,X3] : inverse(X2) = inverse(multiply(X3,multiply(inverse(X3),X2))),
inference(backward_demodulation,[],[f25897,f27101]) ).
fof(f25897,plain,
! [X2,X3] : multiply(inverse(X2),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X3,multiply(inverse(X3),X2))),
inference(backward_demodulation,[],[f20746,f25542]) ).
fof(f20746,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X3,multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))),X2))),
inference(backward_demodulation,[],[f17763,f20545]) ).
fof(f17763,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))) = inverse(multiply(X3,multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))),X2))),
inference(superposition,[],[f14,f1329]) ).
fof(f27006,plain,
! [X2,X3,X1] : inverse(multiply(X1,multiply(inverse(X1),multiply(inverse(X2),X3)))) = inverse(inverse(multiply(inverse(X3),X2))),
inference(backward_demodulation,[],[f22213,f27003]) ).
fof(f27003,plain,
! [X2,X0,X1,X5] : inverse(multiply(inverse(X2),X1)) = multiply(inverse(multiply(X5,multiply(X0,X1))),multiply(X5,multiply(X0,X2))),
inference(backward_demodulation,[],[f2084,f27000]) ).
fof(f27000,plain,
! [X3,X0,X1,X4] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X0))),
inference(backward_demodulation,[],[f26875,f26999]) ).
fof(f26999,plain,
! [X0,X4] : inverse(X4) = multiply(inverse(multiply(X0,X4)),X0),
inference(forward_demodulation,[],[f26998,f26265]) ).
fof(f26998,plain,
! [X3,X0,X4] : multiply(inverse(multiply(X0,X4)),X0) = multiply(inverse(multiply(inverse(X3),X3)),inverse(X4)),
inference(forward_demodulation,[],[f26880,f26873]) ).
fof(f26880,plain,
! [X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),multiply(inverse(X1),X1))) = multiply(inverse(multiply(X0,X4)),X0),
inference(backward_demodulation,[],[f8134,f26873]) ).
fof(f8134,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),multiply(inverse(X1),X1))) = multiply(inverse(multiply(X0,X4)),multiply(X0,multiply(inverse(X2),X2))),
inference(superposition,[],[f1220,f7660]) ).
fof(f26875,plain,
! [X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X0))) = multiply(inverse(multiply(X5,multiply(inverse(X0),X1))),X5),
inference(backward_demodulation,[],[f2389,f26873]) ).
fof(f2389,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,multiply(inverse(X0),X1))),multiply(X5,multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X0))),
inference(superposition,[],[f1220,f1419]) ).
fof(f2084,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,multiply(X0,X1))),multiply(X5,multiply(X0,X2))) = multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f1220,f711]) ).
fof(f22213,plain,
! [X2,X3,X0,X1,X5] : inverse(multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,multiply(X0,X3)))) = inverse(multiply(X1,multiply(inverse(X1),multiply(inverse(X2),X3)))),
inference(backward_demodulation,[],[f837,f21930]) ).
fof(f837,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,multiply(X0,X3)))) = inverse(multiply(X1,multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X4,X3)))),
inference(superposition,[],[f24,f711]) ).
fof(f68879,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X2),inverse(multiply(inverse(X1),X2))),
inference(superposition,[],[f44951,f27353]) ).
fof(f27353,plain,
! [X0,X4] : multiply(multiply(X0,X4),inverse(X4)) = X0,
inference(forward_demodulation,[],[f27352,f27192]) ).
fof(f27352,plain,
! [X0,X4] : multiply(multiply(inverse(inverse(X0)),X4),inverse(X4)) = X0,
inference(forward_demodulation,[],[f27195,f27227]) ).
fof(f27227,plain,
! [X2,X3] : multiply(multiply(inverse(X2),X2),X3) = X3,
inference(backward_demodulation,[],[f26265,f27193]) ).
fof(f27195,plain,
! [X2,X0,X4] : multiply(multiply(multiply(inverse(X2),X2),multiply(inverse(inverse(X0)),X4)),inverse(X4)) = X0,
inference(backward_demodulation,[],[f27121,f27192]) ).
fof(f27121,plain,
! [X2,X0,X4] : multiply(inverse(inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(inverse(X0)),X4)))),inverse(X4)) = X0,
inference(backward_demodulation,[],[f26121,f27101]) ).
fof(f26121,plain,
! [X2,X0,X4] : multiply(inverse(inverse(multiply(multiply(inverse(X2),X2),multiply(inverse(inverse(X0)),X4)))),multiply(inverse(X4),inverse(multiply(inverse(X4),X4)))) = X0,
inference(backward_demodulation,[],[f16096,f25982]) ).
fof(f25982,plain,
! [X2,X0,X1,X4] : multiply(inverse(X1),X4) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),X4)),multiply(inverse(multiply(inverse(X2),X2)),X1))),
inference(backward_demodulation,[],[f9884,f25909]) ).
fof(f9884,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),X4)),multiply(inverse(multiply(inverse(X2),X2)),X1))) = inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),X1))),
inference(superposition,[],[f1209,f9550]) ).
fof(f16096,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)),multiply(inverse(multiply(inverse(X3),X3)),X2))),multiply(inverse(inverse(X0)),X4)))),multiply(inverse(X4),inverse(multiply(inverse(X4),X4)))) = X0,
inference(superposition,[],[f714,f10692]) ).
fof(f44951,plain,
! [X2,X0,X4] : multiply(multiply(multiply(X4,X0),X2),inverse(multiply(X0,X2))) = X4,
inference(forward_demodulation,[],[f44950,f30011]) ).
fof(f30011,plain,
! [X2,X1,X4] : multiply(X1,X2) = inverse(multiply(X4,inverse(multiply(X1,multiply(X2,X4))))),
inference(forward_demodulation,[],[f30010,f27227]) ).
fof(f30010,plain,
! [X2,X1,X4] : multiply(X1,X2) = inverse(multiply(X4,inverse(multiply(X1,multiply(multiply(inverse(X2),X2),multiply(X2,X4)))))),
inference(forward_demodulation,[],[f30009,f27192]) ).
fof(f30009,plain,
! [X2,X1,X4] : multiply(X1,X2) = inverse(multiply(X4,inverse(multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),X2))),multiply(X2,X4)))))),
inference(forward_demodulation,[],[f30008,f27327]) ).
fof(f27327,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X0,X1)) = multiply(multiply(inverse(X2),X0),X1),
inference(forward_demodulation,[],[f27326,f27271]) ).
fof(f27271,plain,
! [X0,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,X0)) = multiply(inverse(X4),X0),
inference(forward_demodulation,[],[f27270,f26873]) ).
fof(f27270,plain,
! [X2,X0,X4,X5] : multiply(inverse(X4),X0) = multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f27269,f26873]) ).
fof(f27269,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,multiply(inverse(X2),X2)))) = multiply(multiply(inverse(X4),X0),multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f27268,f26873]) ).
fof(f27268,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,multiply(inverse(X2),X2)))) = multiply(multiply(inverse(X4),multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f27267,f27193]) ).
fof(f27267,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,multiply(inverse(X2),X2)))) = multiply(multiply(inverse(X4),multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f27208,f27193]) ).
fof(f27208,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),X4)),multiply(inverse(X3),X3)),
inference(backward_demodulation,[],[f19448,f27193]) ).
fof(f19448,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),X4)),multiply(inverse(X3),X3)),
inference(superposition,[],[f711,f18574]) ).
fof(f27326,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X2)),multiply(X3,multiply(X0,X1))) = multiply(multiply(inverse(X2),X0),X1),
inference(forward_demodulation,[],[f27325,f27192]) ).
fof(f27325,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X2),X0),X1) = multiply(inverse(multiply(X3,X2)),multiply(X3,multiply(inverse(inverse(X0)),X1))),
inference(forward_demodulation,[],[f27240,f27193]) ).
fof(f27240,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X1),inverse(X0))))) = multiply(multiply(inverse(X2),X0),X1),
inference(backward_demodulation,[],[f27103,f27193]) ).
fof(f27103,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),X2)),X1) = multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X1),inverse(X0))))),
inference(backward_demodulation,[],[f21929,f27101]) ).
fof(f30008,plain,
! [X2,X1,X4] : multiply(X1,X2) = inverse(multiply(X4,inverse(multiply(X1,multiply(multiply(inverse(inverse(multiply(inverse(X2),X2))),X2),X4))))),
inference(forward_demodulation,[],[f30007,f27193]) ).
fof(f30007,plain,
! [X2,X1,X4] : multiply(X1,X2) = inverse(multiply(X4,inverse(multiply(X1,multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))),X4))))),
inference(forward_demodulation,[],[f30006,f27193]) ).
fof(f30006,plain,
! [X2,X1,X4] : multiply(X1,X2) = inverse(multiply(X4,inverse(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))))),
inference(forward_demodulation,[],[f30005,f26999]) ).
fof(f30005,plain,
! [X2,X0,X1,X4] : multiply(X1,X2) = inverse(multiply(X4,multiply(inverse(multiply(X0,multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))))))),X0))),
inference(forward_demodulation,[],[f26457,f27346]) ).
fof(f27346,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),X2) = multiply(inverse(X1),multiply(inverse(X0),X2)),
inference(forward_demodulation,[],[f27345,f27271]) ).
fof(f27345,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,multiply(X0,X1))),multiply(X3,X2)) = multiply(inverse(X1),multiply(inverse(X0),X2)),
inference(forward_demodulation,[],[f27246,f27192]) ).
fof(f27246,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = multiply(inverse(multiply(X3,multiply(inverse(inverse(X0)),X1))),multiply(X3,X2)),
inference(backward_demodulation,[],[f27104,f27193]) ).
fof(f27104,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),inverse(X0))))),multiply(X3,X2)),
inference(backward_demodulation,[],[f21930,f27101]) ).
fof(f26457,plain,
! [X2,X0,X1,X4] : multiply(X1,X2) = inverse(multiply(X4,multiply(inverse(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(inverse(X0),X0)))),
inference(backward_demodulation,[],[f22391,f26265]) ).
fof(f22391,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(X1,X2)) = inverse(multiply(X4,multiply(inverse(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(inverse(X0),X0)))),
inference(backward_demodulation,[],[f22037,f22246]) ).
fof(f22037,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X4,multiply(inverse(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(inverse(X0),X0)))) = multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0)))),inverse(multiply(inverse(X0),X0)))))),
inference(backward_demodulation,[],[f17952,f21921]) ).
fof(f17952,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0)))),inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))))))) = inverse(multiply(X4,multiply(inverse(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(inverse(X0),X0)))),
inference(superposition,[],[f14,f9550]) ).
fof(f44950,plain,
! [X2,X0,X1,X4] : multiply(multiply(inverse(multiply(X1,inverse(multiply(X4,multiply(X0,X1))))),X2),inverse(multiply(X0,X2))) = X4,
inference(forward_demodulation,[],[f44900,f27271]) ).
fof(f44900,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(X3,multiply(X1,inverse(multiply(X4,multiply(X0,X1)))))),multiply(X3,X2)),inverse(multiply(X0,X2))) = X4,
inference(backward_demodulation,[],[f32276,f44887]) ).
fof(f44887,plain,
! [X0,X1,X6,X5] : multiply(inverse(multiply(multiply(X0,X1),X6)),X5) = multiply(inverse(multiply(X0,multiply(X1,X6))),X5),
inference(backward_demodulation,[],[f27349,f44886]) ).
fof(f44886,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,X2)),X4) = inverse(multiply(inverse(X4),multiply(multiply(X0,X1),multiply(inverse(X1),X2)))),
inference(forward_demodulation,[],[f44866,f27271]) ).
fof(f44866,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,X2)),X4) = inverse(multiply(inverse(X4),multiply(multiply(X0,X1),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))))),
inference(backward_demodulation,[],[f33919,f44858]) ).
fof(f44858,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X5) = multiply(inverse(X2),multiply(X1,multiply(inverse(X0),X5))),
inference(forward_demodulation,[],[f44857,f27193]) ).
fof(f44857,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X5) = inverse(multiply(inverse(multiply(X1,multiply(inverse(X0),X5))),X2)),
inference(forward_demodulation,[],[f44856,f27271]) ).
fof(f44856,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X5) = inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),X2)),
inference(forward_demodulation,[],[f44855,f27193]) ).
fof(f44855,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X5) = inverse(inverse(multiply(inverse(X2),multiply(X1,multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))))),
inference(forward_demodulation,[],[f44854,f27327]) ).
fof(f44854,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X5) = inverse(inverse(multiply(multiply(inverse(X2),X1),multiply(inverse(multiply(X6,X0)),multiply(X6,X5))))),
inference(forward_demodulation,[],[f44853,f26999]) ).
fof(f44853,plain,
! [X2,X3,X0,X1,X6,X5] : multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X5) = inverse(multiply(inverse(multiply(X3,multiply(multiply(inverse(X2),X1),multiply(inverse(multiply(X6,X0)),multiply(X6,X5))))),X3)),
inference(forward_demodulation,[],[f44852,f27346]) ).
fof(f44852,plain,
! [X2,X3,X0,X1,X6,X5] : multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X5) = inverse(multiply(inverse(multiply(multiply(inverse(X2),X1),multiply(inverse(multiply(X6,X0)),multiply(X6,X5)))),multiply(inverse(X3),X3))),
inference(forward_demodulation,[],[f44851,f27346]) ).
fof(f44851,plain,
! [X2,X3,X0,X1,X6,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5))),multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3)))) = multiply(inverse(multiply(X0,multiply(inverse(X1),X2))),X5),
inference(forward_demodulation,[],[f23527,f27346]) ).
fof(f23527,plain,
! [X2,X3,X0,X1,X6,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5))),multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3)))) = multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X0),X5)),
inference(backward_demodulation,[],[f7448,f23029]) ).
fof(f7448,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X4,multiply(inverse(X0),X5))),multiply(X4,multiply(inverse(X1),X2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X5))),multiply(inverse(multiply(inverse(X2),X1)),multiply(inverse(X3),X3)))),
inference(superposition,[],[f25,f2124]) ).
fof(f2124,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),X3)),multiply(inverse(X1),X1)) = multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X0)),
inference(superposition,[],[f1220,f1329]) ).
fof(f33919,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,X2)),X4) = inverse(multiply(inverse(multiply(multiply(X3,X1),multiply(inverse(multiply(X0,X1)),X4))),multiply(X3,X2))),
inference(forward_demodulation,[],[f25852,f27346]) ).
fof(f25852,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))) = multiply(inverse(multiply(X0,X2)),X4),
inference(backward_demodulation,[],[f862,f25460]) ).
fof(f862,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))) = inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,X2)))),
inference(superposition,[],[f12,f711]) ).
fof(f27349,plain,
! [X2,X0,X1,X6,X5] : inverse(multiply(inverse(X5),multiply(multiply(X0,X2),multiply(inverse(X2),multiply(X1,X6))))) = multiply(inverse(multiply(multiply(X0,X1),X6)),X5),
inference(backward_demodulation,[],[f27331,f27346]) ).
fof(f27331,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(X6),multiply(inverse(multiply(X0,X1)),X5)) = inverse(multiply(inverse(X5),multiply(multiply(X0,X2),multiply(inverse(X2),multiply(X1,X6))))),
inference(forward_demodulation,[],[f27328,f27327]) ).
fof(f27328,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(X6),multiply(inverse(multiply(X0,X1)),X5)) = inverse(multiply(multiply(inverse(X5),multiply(X0,X2)),multiply(inverse(X2),multiply(X1,X6)))),
inference(backward_demodulation,[],[f26019,f27327]) ).
fof(f26019,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(X6),multiply(inverse(multiply(X0,X1)),X5)) = inverse(multiply(multiply(inverse(X5),multiply(X0,X2)),multiply(multiply(inverse(X2),X1),X6))),
inference(backward_demodulation,[],[f23757,f25909]) ).
fof(f23757,plain,
! [X2,X3,X0,X1,X6,X5] : multiply(inverse(X6),multiply(inverse(multiply(X0,X1)),X5)) = inverse(multiply(multiply(inverse(X5),multiply(X0,X2)),multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2))),X6))),
inference(forward_demodulation,[],[f23256,f23029]) ).
fof(f23256,plain,
! [X2,X3,X0,X1,X6,X7,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X7,multiply(X0,X2))),multiply(X7,X5))),multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2))),X6))) = multiply(inverse(X6),multiply(inverse(multiply(X0,X1)),X5)),
inference(backward_demodulation,[],[f2204,f23029]) ).
fof(f2204,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(X4,multiply(inverse(multiply(X0,X1)),X5))),multiply(X4,X6))) = inverse(multiply(inverse(multiply(inverse(multiply(X7,multiply(X0,X2))),multiply(X7,X5))),multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2))),X6))),
inference(superposition,[],[f25,f1220]) ).
fof(f32276,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(multiply(X3,X1),inverse(multiply(X4,multiply(X0,X1))))),multiply(X3,X2)),inverse(multiply(X0,X2))) = X4,
inference(forward_demodulation,[],[f32275,f31809]) ).
fof(f31809,plain,
! [X2,X4] : inverse(multiply(X2,X4)) = multiply(inverse(X4),inverse(X2)),
inference(forward_demodulation,[],[f31808,f27227]) ).
fof(f31808,plain,
! [X2,X3,X4] : multiply(inverse(X4),inverse(X2)) = multiply(multiply(inverse(X3),X3),inverse(multiply(X2,X4))),
inference(forward_demodulation,[],[f31807,f27193]) ).
fof(f31807,plain,
! [X2,X3,X4] : multiply(inverse(X4),inverse(X2)) = multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(X2,X4))),
inference(forward_demodulation,[],[f31806,f26999]) ).
fof(f31806,plain,
! [X2,X3,X4] : multiply(inverse(X4),inverse(X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(X2,multiply(X2,X4))),X2)),
inference(forward_demodulation,[],[f31805,f27346]) ).
fof(f31805,plain,
! [X2,X3,X4] : multiply(inverse(X4),inverse(X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(X2,X4)),multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f31804,f27193]) ).
fof(f31804,plain,
! [X2,X3,X4] : multiply(inverse(X4),inverse(X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(multiply(X2,X4)),inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f31803,f27346]) ).
fof(f31803,plain,
! [X2,X3,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(X4),inverse(X2)),
inference(forward_demodulation,[],[f31802,f31790]) ).
fof(f31790,plain,
! [X2,X3,X1] : multiply(multiply(inverse(multiply(X2,X3)),inverse(X1)),X1) = multiply(inverse(X3),inverse(X2)),
inference(forward_demodulation,[],[f31789,f27271]) ).
fof(f31789,plain,
! [X2,X3,X1,X4] : multiply(multiply(inverse(multiply(X2,X3)),inverse(X1)),X1) = multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2))),
inference(forward_demodulation,[],[f31788,f26999]) ).
fof(f31788,plain,
! [X2,X3,X1,X4] : multiply(multiply(inverse(multiply(X2,X3)),inverse(X1)),X1) = multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(multiply(X2,X2)),X2))),
inference(forward_demodulation,[],[f31787,f27346]) ).
fof(f31787,plain,
! [X2,X3,X1,X4] : multiply(multiply(inverse(multiply(X2,X3)),inverse(X1)),X1) = multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f31786,f27193]) ).
fof(f31786,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = multiply(multiply(inverse(multiply(X2,X3)),inverse(X1)),X1),
inference(forward_demodulation,[],[f31785,f27346]) ).
fof(f31785,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = multiply(multiply(inverse(X3),multiply(inverse(X2),inverse(X1))),X1),
inference(forward_demodulation,[],[f25556,f27193]) ).
fof(f25556,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),inverse(X1))),X3)),X1),
inference(backward_demodulation,[],[f16319,f25460]) ).
fof(f16319,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,X3)),multiply(X4,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)))),X3)),X1),
inference(superposition,[],[f711,f714]) ).
fof(f31802,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = multiply(multiply(inverse(multiply(X2,X4)),inverse(X1)),X1),
inference(forward_demodulation,[],[f31801,f27346]) ).
fof(f31801,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = multiply(multiply(inverse(X4),multiply(inverse(X2),inverse(X1))),X1),
inference(forward_demodulation,[],[f25558,f27193]) ).
fof(f25558,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),inverse(X1))),X4)),X1),
inference(backward_demodulation,[],[f16325,f25460]) ).
fof(f16325,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)))),X4)),X1) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f1220,f714]) ).
fof(f32275,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(multiply(X3,X1),multiply(inverse(multiply(X0,X1)),inverse(X4)))),multiply(X3,X2)),inverse(multiply(X0,X2))) = X4,
inference(forward_demodulation,[],[f32274,f27346]) ).
fof(f32274,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),inverse(X4))),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(X0,X2))) = X4,
inference(forward_demodulation,[],[f32273,f27192]) ).
fof(f32273,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),inverse(X4))),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))))),inverse(multiply(X0,X2))) = X4,
inference(forward_demodulation,[],[f32272,f26999]) ).
fof(f32272,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),inverse(X4))),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))))),multiply(inverse(multiply(X2,multiply(X0,X2))),X2)) = X4,
inference(forward_demodulation,[],[f25594,f27346]) ).
fof(f25594,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),inverse(X4))),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))))),multiply(inverse(multiply(X0,X2)),multiply(inverse(X2),X2))) = X4,
inference(backward_demodulation,[],[f16109,f25460]) ).
fof(f16109,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),inverse(X4))),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))))),multiply(inverse(multiply(X0,X2)),inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))) = X4,
inference(superposition,[],[f714,f711]) ).
fof(f68984,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X3),multiply(inverse(X3),multiply(X1,X2))),
inference(forward_demodulation,[],[f68884,f27193]) ).
fof(f68884,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X3),inverse(multiply(inverse(multiply(X1,X2)),X3))),
inference(superposition,[],[f44951,f44951]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP423-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:42:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (21216)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (21219)WARNING: value z3 for option sas not known
% 0.13/0.37 % (21220)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (21219)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (21222)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (21221)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (21223)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (21218)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (21217)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.20/0.52 TRYING [4]
% 6.25/1.25 TRYING [5]
% 7.95/1.47 TRYING [1]
% 7.95/1.47 TRYING [2]
% 7.95/1.47 TRYING [3]
% 7.95/1.48 TRYING [4]
% 11.00/1.95 TRYING [5]
% 29.87/4.68 % (21222)First to succeed.
% 29.87/4.68 % (21222)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21216"
% 30.42/4.69 % (21222)Refutation found. Thanks to Tanya!
% 30.42/4.69 % SZS status Unsatisfiable for theBenchmark
% 30.42/4.69 % SZS output start Proof for theBenchmark
% See solution above
% 30.42/4.69 % (21222)------------------------------
% 30.42/4.69 % (21222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 30.42/4.69 % (21222)Termination reason: Refutation
% 30.42/4.69
% 30.42/4.69 % (21222)Memory used [KB]: 29824
% 30.42/4.69 % (21222)Time elapsed: 4.317 s
% 30.42/4.69 % (21222)Instructions burned: 8560 (million)
% 30.42/4.69 % (21216)Success in time 4.281 s
%------------------------------------------------------------------------------