%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP056-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:12:26 AM UTC 2026
% Result : Unsatisfiable 6.23s 1.53s
% Output : Refutation 7.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 2
% Syntax : Number of formulae : 219 ( 217 unt; 0 def)
% Number of atoms : 223 ( 222 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 709 ( 709 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X3)))),multiply(X2,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f1,f1]) ).
fof(f5,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X0)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f31,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f4,f4]) ).
fof(f37,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(X0,inverse(X2))) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f57,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3))))),
inference(superposition,[],[f1,f37]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(superposition,[],[f31,f37]) ).
fof(f120,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(X0))),
inference(superposition,[],[f75,f5]) ).
fof(f185,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))) = X1,
inference(superposition,[],[f1,f57]) ).
fof(f241,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(multiply(X4,inverse(X5))))) = multiply(inverse(X0),multiply(X2,inverse(multiply(X4,inverse(X5))))),
inference(superposition,[],[f75,f185]) ).
fof(f266,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(X3))) = multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X0),X2)))),multiply(X4,inverse(X2)))),inverse(X3))),
inference(superposition,[],[f120,f1]) ).
fof(f270,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X4))) = multiply(inverse(X0),multiply(X2,inverse(X4))),
inference(superposition,[],[f120,f185]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X2))),X0) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X3,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))),
inference(superposition,[],[f120,f185]) ).
fof(f788,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f266,f1]) ).
fof(f895,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f788,f788]) ).
fof(f1129,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),X0))) = X2,
inference(superposition,[],[f1,f895]) ).
fof(f1148,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),X2)))),multiply(X1,inverse(X2))),
inference(superposition,[],[f37,f895]) ).
fof(f1166,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(X0),X0))) = X4,
inference(superposition,[],[f6,f895]) ).
fof(f1253,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),X3))) = X2,
inference(superposition,[],[f1129,f895]) ).
fof(f1258,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3)))),inverse(multiply(inverse(X4),X4))) = X3,
inference(superposition,[],[f1129,f1129]) ).
fof(f1261,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X3),X3) = multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X0),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X4),X4))),
inference(superposition,[],[f1129,f6]) ).
fof(f1279,plain,
! [X2,X3,X0] : multiply(inverse(X0),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X0),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f1129,f37]) ).
fof(f1281,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X4),X4))),
inference(superposition,[],[f1129,f270]) ).
fof(f1304,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X3),X3)))),
inference(superposition,[],[f266,f1129]) ).
fof(f1363,plain,
! [X3,X0,X4] : multiply(inverse(X3),X3) = multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X4),X4))),
inference(forward_demodulation,[],[f1261,f1166]) ).
fof(f1579,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X3,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))),multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X5),X5)))),
inference(superposition,[],[f270,f1279]) ).
fof(f1584,plain,
! [X2,X3,X1,X5] : multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X5),X5)))) = multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[],[f1579,f270]) ).
fof(f1757,plain,
! [X2,X0,X1] : multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),X2))),
inference(superposition,[],[f185,f1363]) ).
fof(f1770,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(X4),X4))),
inference(superposition,[],[f1129,f1363]) ).
fof(f1819,plain,
! [X2,X3] : multiply(inverse(X2),X2) = inverse(multiply(inverse(X3),X3)),
inference(forward_demodulation,[],[f1770,f1253]) ).
fof(f2391,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,inverse(multiply(inverse(X3),X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X4),X4))))))),inverse(multiply(inverse(X5),X5))),
inference(superposition,[],[f1129,f1304]) ).
fof(f2392,plain,
! [X2,X3,X4] : multiply(X2,inverse(multiply(inverse(X3),X3))) = multiply(X2,inverse(multiply(inverse(X4),X4))),
inference(forward_demodulation,[],[f2391,f1253]) ).
fof(f3133,plain,
! [X2,X0,X1] : multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X2))),
inference(superposition,[],[f1757,f1819]) ).
fof(f3143,plain,
! [X2,X0,X1] : multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(multiply(inverse(X0),X0),X2))),
inference(superposition,[],[f1757,f1819]) ).
fof(f3211,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))),X1))) = multiply(inverse(multiply(inverse(multiply(X0,inverse(X3))),multiply(X0,inverse(inverse(X1))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(X1))),multiply(inverse(multiply(inverse(X2),X2)),inverse(X1))))),
inference(superposition,[],[f57,f1757]) ).
fof(f3244,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X2),X2)),X3) = multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),X2)),X3))))),multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X2)),X3))))),inverse(X3)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X3)),multiply(inverse(multiply(inverse(X2),X2)),X3)))),
inference(superposition,[],[f5,f1757]) ).
fof(f3320,plain,
! [X2,X3] : multiply(inverse(multiply(inverse(X2),X2)),X3) = X3,
inference(forward_demodulation,[],[f3244,f1258]) ).
fof(f3343,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))),X1))) = multiply(inverse(multiply(inverse(multiply(X0,inverse(X3))),multiply(X0,inverse(inverse(X1))))),inverse(multiply(inverse(inverse(X1)),inverse(X1)))),
inference(forward_demodulation,[],[f3211,f1281]) ).
fof(f3369,plain,
! [X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))),X1)) = multiply(inverse(multiply(inverse(multiply(X0,inverse(X3))),multiply(X0,inverse(inverse(X1))))),inverse(multiply(inverse(inverse(X1)),inverse(X1)))),
inference(forward_demodulation,[],[f3343,f3320]) ).
fof(f3388,plain,
! [X2,X0] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X2) = X2,
inference(superposition,[],[f3320,f1819]) ).
fof(f3398,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),X2) = X2,
inference(superposition,[],[f3320,f1819]) ).
fof(f3481,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)) = multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))),
inference(superposition,[],[f4,f3320]) ).
fof(f3491,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X0)),inverse(X1)) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X1))),
inference(superposition,[],[f120,f3320]) ).
fof(f3498,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(X1,inverse(X3))) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(X3)),
inference(superposition,[],[f270,f3320]) ).
fof(f3502,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,inverse(multiply(X1,inverse(X2))))) = multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X2)))),
inference(superposition,[],[f75,f3320]) ).
fof(f3503,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(inverse(multiply(X2,inverse(X0))),X1),
inference(superposition,[],[f275,f3320]) ).
fof(f3625,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))),multiply(inverse(X1),X1))) = multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)),
inference(forward_demodulation,[],[f3481,f3369]) ).
fof(f3672,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))),multiply(inverse(X1),X1))) = multiply(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)),
inference(forward_demodulation,[],[f3625,f1757]) ).
fof(f3941,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X0)))),inverse(X0)))),inverse(multiply(inverse(X0),X0))) = X0,
inference(superposition,[],[f5,f3388]) ).
fof(f4069,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X0)))),inverse(X0))),inverse(multiply(inverse(X0),X0))) = X0,
inference(forward_demodulation,[],[f3941,f3388]) ).
fof(f4110,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X0),X0))) = X0,
inference(forward_demodulation,[],[f4069,f3320]) ).
fof(f4139,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(inverse(multiply(inverse(X0),X0)))) = X1,
inference(superposition,[],[f4110,f1819]) ).
fof(f4162,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(X0)))),multiply(X2,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))))))),
inference(superposition,[],[f4,f4110]) ).
fof(f4167,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f1129,f4110]) ).
fof(f4183,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[],[f2392,f4110]) ).
fof(f4185,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),X0)))),X0))) = multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(X0))),inverse(X1))),inverse(X0))),inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(X0))),multiply(inverse(inverse(X0)),inverse(X0))))),
inference(superposition,[],[f57,f4110]) ).
fof(f4189,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),X2)))),multiply(X1,inverse(X2))) = multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f4,f4110]) ).
fof(f4203,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(X0),X0)))) = multiply(inverse(multiply(inverse(inverse(X0)),inverse(X2))),X0),
inference(superposition,[],[f120,f4110]) ).
fof(f4211,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),X2) = multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))),
inference(superposition,[],[f275,f4110]) ).
fof(f4215,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),X2) = multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X0))),X2)),
inference(forward_demodulation,[],[f4211,f3503]) ).
fof(f4222,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X2))),X0) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f4203,f3491]) ).
fof(f4235,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),X2)))),multiply(X1,inverse(X2))) = multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f4189,f3133]) ).
fof(f4238,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),X0)))),X0))) = multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(X0))),inverse(X1))),inverse(X0))),inverse(multiply(inverse(inverse(X0)),inverse(X0)))),
inference(forward_demodulation,[],[f4185,f1757]) ).
fof(f4247,plain,
! [X2,X0] : inverse(X0) = multiply(inverse(multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f4167,f3491]) ).
fof(f4251,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))) = inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[],[f4162,f3369]) ).
fof(f4273,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(X2))),X0) = X2,
inference(forward_demodulation,[],[f4222,f4183]) ).
fof(f4286,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),X2)))),multiply(X1,inverse(X2))) = multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f4235,f4139]) ).
fof(f4289,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(X0))),inverse(X1))),inverse(X0))),inverse(multiply(inverse(inverse(X0)),inverse(X0)))) = multiply(inverse(inverse(X0)),inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),inverse(X0))),X0)))),
inference(forward_demodulation,[],[f4238,f4215]) ).
fof(f4294,plain,
! [X2,X0] : inverse(X0) = multiply(inverse(X0),inverse(multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f4247,f4139]) ).
fof(f4298,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))) = inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))),multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),
inference(forward_demodulation,[],[f4251,f4215]) ).
fof(f4309,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),X2)))),multiply(X1,inverse(X2))),
inference(forward_demodulation,[],[f4286,f3320]) ).
fof(f4310,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),inverse(X0))),X0)))) = multiply(inverse(X1),inverse(multiply(inverse(inverse(X0)),inverse(X0)))),
inference(forward_demodulation,[],[f4289,f4273]) ).
fof(f4315,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))) = inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[],[f4298,f3320]) ).
fof(f4321,plain,
! [X2] : inverse(multiply(inverse(X2),X2)) = inverse(inverse(multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f4309,f1148]) ).
fof(f4322,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(inverse(X0)),inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(X1),inverse(X0))),X0)))),
inference(forward_demodulation,[],[f4310,f4294]) ).
fof(f4326,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))) = multiply(inverse(inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X0),X0))))),inverse(inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f4315,f3672]) ).
fof(f4333,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))) = multiply(inverse(inverse(X0)),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f4326,f4139]) ).
fof(f4336,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))) = inverse(inverse(X0)),
inference(forward_demodulation,[],[f4333,f4294]) ).
fof(f4338,plain,
! [X0] : inverse(inverse(X0)) = multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f4336,f3491]) ).
fof(f4340,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f4338,f4139]) ).
fof(f4354,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),
inference(superposition,[],[f6,f4340]) ).
fof(f4382,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(X0,inverse(X0)),
inference(superposition,[],[f895,f4340]) ).
fof(f4383,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f1129,f4340]) ).
fof(f4403,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
inference(superposition,[],[f3320,f4340]) ).
fof(f4405,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f3398,f4340]) ).
fof(f4416,plain,
! [X2,X0,X1] : inverse(X0) = inverse(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2)))),
inference(forward_demodulation,[],[f4383,f4294]) ).
fof(f4432,plain,
! [X2,X3,X0,X1] : inverse(X0) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2)),
inference(forward_demodulation,[],[f4354,f4294]) ).
fof(f4444,plain,
! [X2,X0] : inverse(X0) = inverse(multiply(inverse(inverse(multiply(X0,X2))),inverse(X2))),
inference(forward_demodulation,[],[f4416,f3491]) ).
fof(f4457,plain,
! [X2,X3,X0] : inverse(X0) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),X3))),inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2)),
inference(forward_demodulation,[],[f4432,f3491]) ).
fof(f4468,plain,
! [X2,X0] : inverse(X0) = inverse(multiply(multiply(X0,X2),inverse(X2))),
inference(forward_demodulation,[],[f4444,f4340]) ).
fof(f4477,plain,
! [X2,X3,X0] : inverse(X0) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X2),X3),inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2)),
inference(forward_demodulation,[],[f4457,f4340]) ).
fof(f4487,plain,
! [X2,X3,X0] : inverse(X0) = inverse(multiply(inverse(multiply(inverse(inverse(X2)),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2)),
inference(forward_demodulation,[],[f4477,f4468]) ).
fof(f4494,plain,
! [X3,X0] : inverse(X0) = inverse(multiply(X0,multiply(inverse(X3),X3))),
inference(forward_demodulation,[],[f4487,f4273]) ).
fof(f4518,plain,
! [X2,X0] : multiply(X0,inverse(X0)) = multiply(X2,inverse(X2)),
inference(superposition,[],[f4382,f4382]) ).
fof(f4538,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(X0,inverse(X0))))),X3)))),multiply(X1,inverse(X3))) = X2,
inference(superposition,[],[f37,f4382]) ).
fof(f4567,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(X0,inverse(X0)))) = X1,
inference(superposition,[],[f4110,f4382]) ).
fof(f4609,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))),X1)))),multiply(X0,inverse(X0))) = X2,
inference(superposition,[],[f37,f4382]) ).
fof(f4618,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(inverse(X3)),inverse(X2))),multiply(X0,inverse(X0))),
inference(superposition,[],[f120,f4382]) ).
fof(f4619,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X0,inverse(X0)))),inverse(multiply(inverse(X1),X1)))),X1))) = X2,
inference(superposition,[],[f185,f4382]) ).
fof(f4642,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))),inverse(X2))),multiply(X0,inverse(X0))),
inference(superposition,[],[f275,f4382]) ).
fof(f4648,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X3),X3)))) = multiply(inverse(X1),multiply(X0,inverse(X0))),
inference(superposition,[],[f1584,f4382]) ).
fof(f4676,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X3,inverse(X4))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X4))),
inference(superposition,[],[f270,f4382]) ).
fof(f4680,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X1)))),multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),X3))) = X2,
inference(superposition,[],[f1129,f4382]) ).
fof(f4751,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X1)))),multiply(inverse(X0),X0))) = X2,
inference(forward_demodulation,[],[f4680,f4294]) ).
fof(f4755,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(X3,inverse(X4))) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(X4)),
inference(forward_demodulation,[],[f4676,f3491]) ).
fof(f4781,plain,
! [X2,X0,X1] : multiply(inverse(X1),inverse(inverse(multiply(inverse(X2),X2)))) = multiply(inverse(X1),multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f4648,f4294]) ).
fof(f4786,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(X2)))),multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f4642,f3498]) ).
fof(f4808,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X0,inverse(X0)))),inverse(X1))),X1)))) = X2,
inference(forward_demodulation,[],[f4619,f4215]) ).
fof(f4809,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f4618,f4340]) ).
fof(f4817,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(X2),inverse(X1))),X1))))),multiply(X0,inverse(X0))) = X2,
inference(forward_demodulation,[],[f4609,f4215]) ).
fof(f4849,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0)))) = X1,
inference(forward_demodulation,[],[f4567,f4340]) ).
fof(f4862,plain,
! [X2,X3,X0] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(X0,inverse(X0))))),X3))),inverse(X3)) = X2,
inference(forward_demodulation,[],[f4538,f3491]) ).
fof(f4907,plain,
! [X2,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),X1))))) = X2,
inference(forward_demodulation,[],[f4751,f4494]) ).
fof(f4911,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(X3,inverse(X4))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),X3)))),X3),inverse(X4)),
inference(forward_demodulation,[],[f4755,f4340]) ).
fof(f4930,plain,
! [X2,X0,X1] : multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X1),multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f4781,f4321]) ).
fof(f4947,plain,
! [X2,X0] : inverse(multiply(inverse(X2),multiply(X0,inverse(X0)))) = X2,
inference(forward_demodulation,[],[f4808,f4322]) ).
fof(f4948,plain,
! [X2,X3,X0] : multiply(inverse(inverse(X2)),inverse(X3)) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f4809,f3491]) ).
fof(f4952,plain,
! [X2,X0] : multiply(inverse(inverse(X2)),multiply(X0,inverse(X0))) = X2,
inference(forward_demodulation,[],[f4817,f4322]) ).
fof(f4987,plain,
! [X2,X3,X0] : multiply(multiply(inverse(multiply(inverse(X2),inverse(multiply(X0,inverse(X0))))),X3),inverse(X3)) = X2,
inference(forward_demodulation,[],[f4862,f4340]) ).
fof(f5016,plain,
! [X2,X1] : multiply(X1,inverse(multiply(inverse(X2),X1))) = X2,
inference(forward_demodulation,[],[f4907,f4340]) ).
fof(f5020,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(X3,inverse(X4))) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X0),X0))),inverse(X3))),X3)),inverse(X4)),
inference(forward_demodulation,[],[f4911,f4215]) ).
fof(f5033,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X1),multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f4930,f4294]) ).
fof(f5048,plain,
! [X2,X3,X0] : multiply(X2,inverse(X3)) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X0,inverse(X0))),
inference(forward_demodulation,[],[f4948,f4340]) ).
fof(f5052,plain,
! [X2,X0] : multiply(X2,multiply(X0,inverse(X0))) = X2,
inference(forward_demodulation,[],[f4952,f4340]) ).
fof(f5083,plain,
! [X2,X3] : multiply(multiply(inverse(inverse(X2)),X3),inverse(X3)) = X2,
inference(forward_demodulation,[],[f4987,f4849]) ).
fof(f5101,plain,
! [X2,X3,X4] : multiply(inverse(X2),multiply(X3,inverse(X4))) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(inverse(X2)),inverse(X3))),X3)),inverse(X4)),
inference(forward_demodulation,[],[f5020,f4494]) ).
fof(f5119,plain,
! [X2,X3] : multiply(X2,inverse(X3)) = inverse(multiply(X3,inverse(X2))),
inference(forward_demodulation,[],[f5048,f5033]) ).
fof(f5146,plain,
! [X2,X3] : multiply(multiply(X2,X3),inverse(X3)) = X2,
inference(forward_demodulation,[],[f5083,f4340]) ).
fof(f5159,plain,
! [X2,X3,X4] : multiply(inverse(X2),multiply(X3,inverse(X4))) = multiply(multiply(inverse(X3),multiply(inverse(multiply(X2,inverse(X3))),X3)),inverse(X4)),
inference(forward_demodulation,[],[f5101,f4340]) ).
fof(f5193,plain,
! [X2,X3,X4] : multiply(inverse(X2),multiply(X3,inverse(X4))) = multiply(multiply(inverse(X3),multiply(multiply(X3,inverse(X2)),X3)),inverse(X4)),
inference(forward_demodulation,[],[f5159,f5119]) ).
fof(f5297,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(multiply(X0,X3),inverse(X4))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X0)),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X4))),
inference(superposition,[],[f270,f5146]) ).
fof(f5353,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(multiply(X0,X3),inverse(X4))) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X0)),inverse(multiply(inverse(X3),X3)))),X3))),inverse(X4)),
inference(forward_demodulation,[],[f5297,f3491]) ).
fof(f5430,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(multiply(X0,X3),inverse(X4))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(X2),X0)),inverse(multiply(inverse(X3),X3)))),X3),inverse(X4)),
inference(forward_demodulation,[],[f5353,f4340]) ).
fof(f5496,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(multiply(X0,X3),inverse(X4))) = multiply(multiply(inverse(X3),multiply(inverse(multiply(inverse(multiply(inverse(X2),X0)),inverse(X3))),X3)),inverse(X4)),
inference(forward_demodulation,[],[f5430,f4215]) ).
fof(f5550,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(multiply(X0,X3),inverse(X4))) = multiply(multiply(inverse(X3),multiply(multiply(X3,inverse(inverse(multiply(inverse(X2),X0)))),X3)),inverse(X4)),
inference(forward_demodulation,[],[f5496,f5119]) ).
fof(f5591,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(multiply(X0,X3),inverse(X4))) = multiply(inverse(inverse(multiply(inverse(X2),X0))),multiply(X3,inverse(X4))),
inference(forward_demodulation,[],[f5550,f5193]) ).
fof(f5619,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),multiply(multiply(X0,X3),inverse(X4))) = multiply(multiply(inverse(X2),X0),multiply(X3,inverse(X4))),
inference(forward_demodulation,[],[f5591,f4340]) ).
fof(f5727,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(multiply(X0,inverse(X0)))))),inverse(inverse(multiply(X0,inverse(X0)))))),multiply(X0,inverse(X0)))))),
inference(superposition,[],[f275,f5052]) ).
fof(f5765,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,inverse(multiply(X4,inverse(X5))))) = multiply(inverse(multiply(X3,inverse(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(X2))))))))),multiply(X3,inverse(multiply(X4,inverse(X5))))),
inference(superposition,[],[f241,f5052]) ).
fof(f5767,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X3))),X0) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(X2))))))))),
inference(superposition,[],[f275,f5052]) ).
fof(f5771,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X3))),X0) = multiply(inverse(inverse(X3)),inverse(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(X2)))))))),
inference(forward_demodulation,[],[f5767,f3491]) ).
fof(f5773,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,inverse(multiply(X4,inverse(X5))))) = multiply(inverse(inverse(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(X2)))))))),inverse(multiply(X4,inverse(X5)))),
inference(forward_demodulation,[],[f5765,f3502]) ).
fof(f5804,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(multiply(X0,inverse(X0)))))),inverse(inverse(multiply(X0,inverse(X0)))))),multiply(X0,inverse(X0))))),
inference(forward_demodulation,[],[f5727,f3491]) ).
fof(f5868,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X3))),X0) = multiply(inverse(inverse(X3)),multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(X2)))))),
inference(forward_demodulation,[],[f5771,f4340]) ).
fof(f5870,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(inverse(inverse(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(X2)))))))),multiply(X5,inverse(X4))),
inference(forward_demodulation,[],[f5773,f5119]) ).
fof(f5893,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(inverse(X2)),multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(multiply(X0,inverse(X0)))))),inverse(inverse(multiply(X0,inverse(X0)))))),
inference(forward_demodulation,[],[f5804,f4947]) ).
fof(f5930,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X3))),X0) = multiply(inverse(inverse(X3)),inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2))))))),
inference(forward_demodulation,[],[f5868,f4294]) ).
fof(f5932,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(inverse(multiply(X2,inverse(X2))),multiply(X2,inverse(X2)))))),multiply(X5,inverse(X4))),
inference(forward_demodulation,[],[f5870,f4340]) ).
fof(f5944,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(inverse(X2)),multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(multiply(X0,inverse(X0)))))),multiply(X0,inverse(X0)))),
inference(forward_demodulation,[],[f5893,f4340]) ).
fof(f5976,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X3))),X0) = multiply(inverse(inverse(X3)),inverse(multiply(inverse(X0),X1))),
inference(forward_demodulation,[],[f5930,f4849]) ).
fof(f5978,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(inverse(multiply(X2,inverse(X2))),multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(X2,inverse(X2))))),multiply(X5,inverse(X4)))),
inference(forward_demodulation,[],[f5932,f4215]) ).
fof(f5989,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(inverse(X2)),multiply(inverse(multiply(X1,inverse(multiply(X0,inverse(X0))))),X3)),
inference(forward_demodulation,[],[f5944,f4786]) ).
fof(f6017,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X3))),X0) = multiply(X3,inverse(multiply(inverse(X0),X1))),
inference(forward_demodulation,[],[f5976,f4340]) ).
fof(f6019,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))),inverse(multiply(X2,inverse(X2))))),multiply(X5,inverse(X4))),
inference(forward_demodulation,[],[f5978,f4403]) ).
fof(f6027,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(inverse(X2)),multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),X3)),
inference(forward_demodulation,[],[f5989,f5119]) ).
fof(f6050,plain,
! [X3,X0,X1] : multiply(X3,inverse(multiply(inverse(X0),X1))) = multiply(multiply(X3,inverse(X1)),X0),
inference(forward_demodulation,[],[f6017,f5119]) ).
fof(f6052,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(multiply(multiply(X2,inverse(X2)),inverse(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2)))))))),multiply(X5,inverse(X4))),
inference(forward_demodulation,[],[f6019,f5119]) ).
fof(f6058,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(inverse(X2)),multiply(inverse(X1),X3)),
inference(forward_demodulation,[],[f6027,f4405]) ).
fof(f6075,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(inverse(inverse(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2))))))),multiply(X5,inverse(X4))),
inference(forward_demodulation,[],[f6052,f4405]) ).
fof(f6079,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(X2,multiply(inverse(X1),X3)),
inference(forward_demodulation,[],[f6058,f4340]) ).
fof(f6090,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(multiply(inverse(X0),multiply(X1,inverse(multiply(X2,inverse(X2))))),multiply(X5,inverse(X4))),
inference(forward_demodulation,[],[f6075,f4340]) ).
fof(f6094,plain,
! [X2,X3,X1] : multiply(multiply(X2,inverse(X1)),X3) = multiply(X2,multiply(inverse(X1),X3)),
inference(forward_demodulation,[],[f6079,f5119]) ).
fof(f6102,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(inverse(X0),multiply(multiply(multiply(X1,inverse(multiply(X2,inverse(X2)))),X5),inverse(X4))),
inference(forward_demodulation,[],[f6090,f5619]) ).
fof(f6110,plain,
! [X2,X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(inverse(X0),multiply(multiply(X1,multiply(inverse(multiply(X2,inverse(X2))),X5)),inverse(X4))),
inference(forward_demodulation,[],[f6102,f6094]) ).
fof(f6114,plain,
! [X0,X1,X4,X5] : multiply(inverse(X0),multiply(X1,multiply(X5,inverse(X4)))) = multiply(inverse(X0),multiply(multiply(X1,X5),inverse(X4))),
inference(forward_demodulation,[],[f6110,f4403]) ).
fof(f6119,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f5016,f4340]) ).
fof(f6157,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)),inverse(multiply(inverse(X0),inverse(X1)))) = X0,
inference(superposition,[],[f5016,f1757]) ).
fof(f6197,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(X2),inverse(X1))),X0)),inverse(multiply(inverse(multiply(inverse(X0),inverse(X2))),multiply(inverse(X0),inverse(X2))))),
inference(superposition,[],[f57,f5016]) ).
fof(f6202,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X0),X2))))),X0)),inverse(multiply(inverse(X0),X2))))),inverse(multiply(inverse(multiply(inverse(X0),X2)),multiply(inverse(X0),X2)))),
inference(superposition,[],[f5,f5016]) ).
fof(f6225,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X0),X1))))),X0)),inverse(multiply(inverse(X3),X3))) = X2,
inference(superposition,[],[f1129,f5016]) ).
fof(f6258,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X0),X1))))),X0)) = X2,
inference(forward_demodulation,[],[f6225,f4294]) ).
fof(f6279,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X0),X2))))),X0)),inverse(multiply(inverse(X0),X2))))),
inference(forward_demodulation,[],[f6202,f4294]) ).
fof(f6284,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))) = inverse(multiply(inverse(multiply(inverse(X2),inverse(X1))),X0)),
inference(forward_demodulation,[],[f6197,f4294]) ).
fof(f6310,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)),inverse(inverse(X1))),X0) = X0,
inference(forward_demodulation,[],[f6157,f6050]) ).
fof(f6350,plain,
! [X2,X0,X1] : inverse(multiply(multiply(multiply(inverse(X2),multiply(inverse(X0),X1)),inverse(X1)),X0)) = X2,
inference(forward_demodulation,[],[f6258,f5119]) ).
fof(f6371,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X1),multiply(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X0),X2))))),X0)),inverse(X2)),X0))),
inference(forward_demodulation,[],[f6279,f6050]) ).
fof(f6376,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))) = inverse(multiply(multiply(X1,inverse(inverse(X2))),X0)),
inference(forward_demodulation,[],[f6284,f5119]) ).
fof(f6394,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)),multiply(inverse(inverse(X1)),X0)) = X0,
inference(forward_demodulation,[],[f6310,f6094]) ).
fof(f6428,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X2),multiply(inverse(X0),X1)),multiply(inverse(X1),X0))) = X2,
inference(forward_demodulation,[],[f6350,f6094]) ).
fof(f6447,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),multiply(inverse(X0),X2))))),X0)),multiply(inverse(X2),X0)))),
inference(forward_demodulation,[],[f6371,f6094]) ).
fof(f6452,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))) = inverse(multiply(X1,multiply(inverse(inverse(X2)),X0))),
inference(forward_demodulation,[],[f6376,f6094]) ).
fof(f6466,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f6394,f4340]) ).
fof(f6512,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X1),multiply(inverse(multiply(multiply(multiply(inverse(X1),multiply(inverse(X0),X2)),inverse(X2)),X0)),multiply(inverse(X2),X0)))),
inference(forward_demodulation,[],[f6447,f5119]) ).
fof(f6516,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))) = inverse(multiply(X1,multiply(X2,X0))),
inference(forward_demodulation,[],[f6452,f4340]) ).
fof(f6523,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f6466,f3320]) ).
fof(f6563,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X1),multiply(inverse(multiply(multiply(inverse(X1),multiply(inverse(X0),X2)),multiply(inverse(X2),X0))),multiply(inverse(X2),X0)))),
inference(forward_demodulation,[],[f6512,f6094]) ).
fof(f6567,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X2,X0))) = multiply(multiply(inverse(X0),inverse(X2)),multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f6516,f6050]) ).
fof(f6600,plain,
! [X2,X0,X1] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X1),multiply(X1,multiply(inverse(X2),X0)))),
inference(forward_demodulation,[],[f6563,f6428]) ).
fof(f6604,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X2,X0))) = multiply(inverse(X0),multiply(multiply(inverse(X2),inverse(X1)),inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f6567,f5619]) ).
fof(f6635,plain,
! [X2,X0] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f6600,f6523]) ).
fof(f6638,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X2,X0))) = multiply(inverse(X0),multiply(inverse(X2),multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))),
inference(forward_demodulation,[],[f6604,f6114]) ).
fof(f6664,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X2,X0))) = multiply(inverse(X0),multiply(inverse(X2),inverse(X1))),
inference(forward_demodulation,[],[f6638,f4294]) ).
fof(f7445,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(inverse(multiply(inverse(multiply(multiply(X1,inverse(X3)),inverse(X2))),multiply(X0,inverse(X0)))),inverse(multiply(inverse(multiply(X1,inverse(X3))),multiply(X1,inverse(X3))))),
inference(superposition,[],[f57,f4518]) ).
fof(f7479,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3))) = inverse(multiply(inverse(multiply(multiply(X1,inverse(X3)),inverse(X2))),multiply(X0,inverse(X0)))),
inference(forward_demodulation,[],[f7445,f4294]) ).
fof(f7607,plain,
! [X2,X3,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(multiply(X1,inverse(X3)),inverse(X2)),
inference(forward_demodulation,[],[f7479,f4947]) ).
fof(f7695,plain,
! [X2,X3,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(X1,multiply(inverse(X3),inverse(X2))),
inference(forward_demodulation,[],[f7607,f6094]) ).
fof(f7769,plain,
! [X2,X3,X1] : multiply(X1,multiply(inverse(X3),inverse(X2))) = multiply(multiply(X1,inverse(X3)),multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[],[f7695,f6050]) ).
fof(f7835,plain,
! [X2,X3,X1] : multiply(X1,multiply(inverse(X3),inverse(X2))) = multiply(X1,multiply(inverse(X3),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))),
inference(forward_demodulation,[],[f7769,f6094]) ).
fof(f7893,plain,
! [X2,X3,X1] : multiply(X1,multiply(inverse(X3),inverse(X2))) = multiply(X1,inverse(multiply(multiply(inverse(X3),X3),multiply(X2,X3)))),
inference(forward_demodulation,[],[f7835,f6664]) ).
fof(f7944,plain,
! [X2,X3,X1] : multiply(X1,inverse(multiply(X2,X3))) = multiply(X1,multiply(inverse(X3),inverse(X2))),
inference(forward_demodulation,[],[f7893,f3143]) ).
fof(f9808,plain,
! [X0,X1] : multiply(inverse(X1),inverse(X0)) = inverse(multiply(X0,X1)),
inference(superposition,[],[f6523,f6119]) ).
fof(f10631,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),inverse(X0))),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))),multiply(inverse(X4),X4))))),
inference(superposition,[],[f275,f4294]) ).
fof(f10639,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(inverse(inverse(X1)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),inverse(X0))),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))),multiply(inverse(X4),X4)))),
inference(forward_demodulation,[],[f10631,f3491]) ).
fof(f10771,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(X2),inverse(X0))),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))),multiply(inverse(X4),X4)),inverse(X1))),
inference(forward_demodulation,[],[f10639,f9808]) ).
fof(f10886,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),inverse(X0))),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))),multiply(inverse(X4),X4)))),
inference(forward_demodulation,[],[f10771,f5119]) ).
fof(f10980,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(multiply(X1,inverse(multiply(inverse(X4),X4))),multiply(inverse(multiply(inverse(X2),inverse(X0))),inverse(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4))))),
inference(forward_demodulation,[],[f10886,f6050]) ).
fof(f11060,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(multiply(X1,inverse(multiply(inverse(X4),X4))),inverse(multiply(multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(X4),X4)),multiply(inverse(X2),inverse(X0))))),
inference(forward_demodulation,[],[f10980,f7944]) ).
fof(f11124,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(multiply(X1,inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X2),inverse(X0)))),
inference(forward_demodulation,[],[f11060,f3143]) ).
fof(f11178,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(multiply(multiply(X1,inverse(multiply(inverse(X4),X4))),inverse(inverse(X0))),X2),
inference(forward_demodulation,[],[f11124,f6050]) ).
fof(f11224,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(multiply(X1,inverse(multiply(inverse(X4),X4))),multiply(inverse(inverse(X0)),X2)),
inference(forward_demodulation,[],[f11178,f6094]) ).
fof(f11265,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(X1,multiply(inverse(multiply(inverse(X4),X4)),multiply(inverse(inverse(X0)),X2))),
inference(forward_demodulation,[],[f11224,f6094]) ).
fof(f11298,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(X1,multiply(inverse(inverse(X0)),X2)),
inference(forward_demodulation,[],[f11265,f3320]) ).
fof(f11327,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),inverse(X1))),X2) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f11298,f4340]) ).
fof(f11350,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(multiply(inverse(inverse(X1)),X0),X2),
inference(forward_demodulation,[],[f11327,f6635]) ).
fof(f11368,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f11350,f4340]) ).
fof(f11407,plain,
$false,
inference(unit_resulting_resolution,[],[f3,f3398,f895,f11368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 09:16:50 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.23/1.53 % (2103606)Input is clausal, will run a generic CNF schedule.
% 6.23/1.53 % (2103614)lrs+10_1_sil=8000:sp=occurrence:random_seed=1110490740:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.23/1.53 % (2103611)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3453957627:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.23/1.53 % (2103615)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2977962504:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.23/1.53 % (2103613)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1876707055:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.23/1.53 % (2103612)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1706831629:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.23/1.53 % (2103617)dis-21_1_sil=8000:lcm=predicate:random_seed=2979923283:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.23/1.53 % (2103617)Refutation not found, incomplete strategy
% 6.23/1.53 % (2103617)------------------------------
% 6.23/1.53 % (2103617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103617)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103617)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.53 % (2103617)Time elapsed: 0.0000 s
% 6.23/1.53 % (2103617)Peak memory usage: 88 MB
% 6.23/1.53 % (2103616)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4254387899:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.23/1.53 % (2103614)Instruction limit reached!
% 6.23/1.53 % (2103614)------------------------------
% 6.23/1.53 % (2103614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103614)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103614)Termination reason: Instruction limit
% 6.23/1.53 % (2103614)Termination phase: Saturation
% 6.23/1.53 % (2103614)Time elapsed: 0.033 s
% 6.23/1.53 % (2103614)Peak memory usage: 89 MB
% 6.23/1.53 % (2103614)Instructions burned: 108 (million)
% 6.23/1.53 % (2103615)Instruction limit reached!
% 6.23/1.53 % (2103615)------------------------------
% 6.23/1.53 % (2103615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103615)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103615)Termination reason: Instruction limit
% 6.23/1.53 % (2103615)Termination phase: Saturation
% 6.23/1.53 % (2103615)Time elapsed: 0.037 s
% 6.23/1.53 % (2103615)Peak memory usage: 88 MB
% 6.23/1.53 % (2103615)Instructions burned: 114 (million)
% 6.23/1.53 % (2103616)Instruction limit reached!
% 6.23/1.53 % (2103616)------------------------------
% 6.23/1.53 % (2103616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103616)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103616)Termination reason: Instruction limit
% 6.23/1.53 % (2103616)Termination phase: Saturation
% 6.23/1.53 % (2103616)Time elapsed: 0.051 s
% 6.23/1.53 % (2103616)Peak memory usage: 89 MB
% 6.23/1.53 % (2103616)Instructions burned: 182 (million)
% 6.23/1.53 % (2103626)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3134722288:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 6.23/1.53 % (2103625)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3164079348:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.23/1.53 % (2103625)Refutation not found, incomplete strategy
% 6.23/1.53 % (2103625)------------------------------
% 6.23/1.53 % (2103625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103626)Refutation not found, incomplete strategy
% 6.23/1.53 % (2103626)------------------------------
% 6.23/1.53 % (2103626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103626)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103625)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103625)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.53 % (2103625)Time elapsed: 0.001 s
% 6.23/1.53 % (2103626)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.53 % (2103626)Time elapsed: 0.001 s
% 6.23/1.53 % (2103625)Peak memory usage: 88 MB
% 6.23/1.53 % (2103626)Peak memory usage: 88 MB
% 6.23/1.53 % (2103627)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2516933577:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 6.23/1.53 % (2103627)Refutation not found, incomplete strategy
% 6.23/1.53 % (2103627)------------------------------
% 6.23/1.53 % (2103627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103627)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103627)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.53 % (2103627)Time elapsed: 0.001 s
% 6.23/1.53 % (2103627)Peak memory usage: 88 MB
% 6.23/1.53 % (2103617)------------------------------
% 6.23/1.53 % (2103617)------------------------------
% 6.23/1.53 % (2103631)lrs+10_64_to=lpo:sil=8000:random_seed=2260799921:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.23/1.53 % (2103625)------------------------------
% 6.23/1.53 % (2103625)------------------------------
% 6.23/1.53 % (2103626)------------------------------
% 6.23/1.53 % (2103626)------------------------------
% 6.23/1.53 % (2103627)------------------------------
% 6.23/1.53 % (2103627)------------------------------
% 6.23/1.53 % (2103631)Instruction limit reached!
% 6.23/1.53 % (2103631)------------------------------
% 6.23/1.53 % (2103631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103631)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103631)Termination reason: Instruction limit
% 6.23/1.53 % (2103631)Termination phase: Saturation
% 6.23/1.53 % (2103631)Time elapsed: 0.039 s
% 6.23/1.53 % (2103631)Peak memory usage: 89 MB
% 6.23/1.53 % (2103631)Instructions burned: 127 (million)
% 6.23/1.53 % (2103633)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1712317545:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.23/1.53 % (2103635)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2588734980:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.23/1.53 % (2103634)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2493646237:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 6.23/1.53 % (2103636)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2798840473:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.23/1.53 % (2103636)Instruction limit reached!
% 6.23/1.53 % (2103636)------------------------------
% 6.23/1.53 % (2103636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103636)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103636)Termination reason: Instruction limit
% 6.23/1.53 % (2103636)Termination phase: Saturation
% 6.23/1.53 % (2103636)Time elapsed: 0.034 s
% 6.23/1.53 % (2103636)Peak memory usage: 89 MB
% 6.23/1.53 % (2103636)Instructions burned: 110 (million)
% 6.23/1.53 % (2103633)Instruction limit reached!
% 6.23/1.53 % (2103633)------------------------------
% 6.23/1.53 % (2103633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103633)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103633)Termination reason: Instruction limit
% 6.23/1.53 % (2103633)Termination phase: Saturation
% 6.23/1.53 % (2103633)Time elapsed: 0.058 s
% 6.23/1.53 % (2103633)Peak memory usage: 90 MB
% 6.23/1.53 % (2103633)Instructions burned: 195 (million)
% 6.23/1.53 % (2103634)Instruction limit reached!
% 6.23/1.53 % (2103634)------------------------------
% 6.23/1.53 % (2103634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103634)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103634)Termination reason: Instruction limit
% 6.23/1.53 % (2103634)Termination phase: Saturation
% 6.23/1.53 % (2103634)Time elapsed: 0.048 s
% 6.23/1.53 % (2103634)Peak memory usage: 90 MB
% 6.23/1.53 % (2103634)Instructions burned: 159 (million)
% 6.23/1.53 % (2103641)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2998688885:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.23/1.53 % (2103641)Refutation not found, incomplete strategy
% 6.23/1.53 % (2103641)------------------------------
% 6.23/1.53 % (2103641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103641)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103641)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.53 % (2103641)Time elapsed: 0.0000 s
% 6.23/1.53 % (2103641)Peak memory usage: 88 MB
% 6.23/1.53 % (2103642)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2549083594:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 6.23/1.53 % (2103643)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2500589804:cond=fast:i=5208:av=off_2994 on theBenchmark for (2994ds/5208Mi)
% 6.23/1.53 % (2103642)Instruction limit reached!
% 6.23/1.53 % (2103642)------------------------------
% 6.23/1.53 % (2103642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103642)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103642)Termination reason: Instruction limit
% 6.23/1.53 % (2103642)Termination phase: Saturation
% 6.23/1.53 % (2103642)Time elapsed: 0.068 s
% 6.23/1.53 % (2103642)Peak memory usage: 90 MB
% 6.23/1.53 % (2103642)Instructions burned: 242 (million)
% 6.23/1.53 % (2103641)------------------------------
% 6.23/1.53 % (2103641)------------------------------
% 6.23/1.53 % (2103647)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2781028557:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.23/1.53 % (2103647)Instruction limit reached!
% 6.23/1.53 % (2103647)------------------------------
% 6.23/1.53 % (2103647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103647)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103647)Termination reason: Instruction limit
% 6.23/1.53 % (2103647)Termination phase: Saturation
% 6.23/1.53 % (2103647)Time elapsed: 0.042 s
% 6.23/1.53 % (2103647)Peak memory usage: 89 MB
% 6.23/1.53 % (2103647)Instructions burned: 135 (million)
% 6.23/1.53 % (2103612)First to succeed.
% 6.23/1.53 % (2103612)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2103606"
% 6.23/1.53 % (2103648)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1942484506:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 6.23/1.53 % (2103650)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3713719145:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 6.23/1.53 % (2103650)Instruction limit reached!
% 6.23/1.53 % (2103650)------------------------------
% 6.23/1.53 % (2103650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.53 % (2103650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.53 % (2103650)CaDiCaL version: 2.1.3
% 6.23/1.53 % (2103650)Termination reason: Instruction limit
% 6.23/1.53 % (2103650)Termination phase: Saturation
% 6.23/1.53 % (2103650)Time elapsed: 0.058 s
% 6.23/1.53 % (2103650)Peak memory usage: 90 MB
% 6.23/1.53 % (2103650)Instructions burned: 192 (million)
% 6.23/1.53 % (2103612)Refutation found. Thanks to Tanya!
% 6.23/1.53 % SZS status Unsatisfiable for theBenchmark
% 6.23/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 7.33/1.64 % (2103612)------------------------------
% 7.33/1.64 % (2103612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.64 % (2103612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.64 % (2103612)CaDiCaL version: 2.1.3
% 7.33/1.64 % (2103612)Termination reason: Refutation
% 7.33/1.64 % (2103612)Time elapsed: 0.750 s
% 7.33/1.64 % (2103612)Peak memory usage: 140 MB
% 7.33/1.64 % (2103612)Instructions burned: 2223 (million)
% 7.33/1.64 % (2103612)------------------------------
% 7.33/1.64 % (2103612)------------------------------
% 7.33/1.64 % (2103606)Success in time 1.011 s
% 7.33/1.64 % Vampire exiting
%------------------------------------------------------------------------------