%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP428-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 10:13:58 AM UTC 2026
% Result : Unsatisfiable 11.34s 2.45s
% Output : Refutation 11.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 5
% Syntax : Number of formulae : 261 ( 261 unt; 3 def)
% Number of atoms : 261 ( 260 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 569 ( 569 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
fof(f4,definition,
sF0 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
inverse(b2) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = multiply(sF0,b2),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
multiply(sF0,b2) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = multiply(sF1,a2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
multiply(sF1,a2) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,plain,
a2 != sF2,
inference(definition_folding,[],[f3,f9,f7,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(X1)),X0))),X4),inverse(multiply(X3,X4)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X0)),X5),inverse(multiply(X2,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(X0),X1))),b2),inverse(sF1)))) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f28,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X2),X1)),X3),inverse(multiply(X2,X3))))) = inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(inverse(X0)),X1))),b2),inverse(sF1))),
inference(superposition,[],[f11,f7]) ).
fof(f46,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))) = X2,
inference(superposition,[],[f1,f11]) ).
fof(f50,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[],[f1,f11]) ).
fof(f60,plain,
! [X0,X1,X6,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),multiply(X0,X5)))),X6),inverse(multiply(X1,X6)))) = X5,
inference(superposition,[],[f50,f50]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(X0,X3)),X8),inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(inverse(X6)),multiply(inverse(X6),X0)))),X7),inverse(multiply(X5,X7))),X8))))),
inference(superposition,[],[f11,f50]) ).
fof(f84,plain,
! [X0] : multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(sF0,X0))),b2),inverse(sF1)))) = X0,
inference(superposition,[],[f14,f5]) ).
fof(f86,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(inverse(X1)),X0))),X3),inverse(multiply(X2,X3)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1)))),
inference(superposition,[],[f14,f1]) ).
fof(f88,plain,
! [X0,X1] : multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1)))) = inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(inverse(X1)),X0))),b2),inverse(sF1))),
inference(superposition,[],[f14,f14]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(inverse(X3)),X0))),b2),inverse(sF1)))))),X4),inverse(multiply(X1,X4)))) = multiply(X2,inverse(multiply(multiply(inverse(X0),X5),inverse(multiply(X3,X5))))),
inference(superposition,[],[f11,f14]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X4),inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(inverse(inverse(X2))),X0))),b2),inverse(sF1))))),X5),inverse(multiply(X4,X5))))) = inverse(multiply(multiply(inverse(multiply(inverse(X1),X0)),X3),inverse(multiply(X1,X3)))),
inference(superposition,[],[f11,f14]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,inverse(multiply(multiply(inverse(X0),X5),inverse(multiply(X3,X5))))) = inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1))))))),X4),inverse(multiply(X1,X4)))),
inference(backward_demodulation,[],[f92,f88]) ).
fof(f99,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X2),X1)),X3),inverse(multiply(X2,X3))))) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X1)),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f28,f88]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),X0)),X3),inverse(multiply(X1,X3)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1)))))),X5),inverse(multiply(X4,X5))))),
inference(backward_demodulation,[],[f94,f88]) ).
fof(f120,plain,
! [X2,X3,X0,X8,X6,X7,X5] : multiply(X2,inverse(multiply(multiply(inverse(multiply(X0,X3)),X8),inverse(multiply(multiply(multiply(inverse(multiply(inverse(X5),multiply(inverse(inverse(X6)),multiply(inverse(X6),X0)))),X7),inverse(multiply(X5,X7))),X8))))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X3)),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f81,f86]) ).
fof(f138,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1))) = inverse(multiply(multiply(inverse(multiply(inverse(X1),X0)),X3),inverse(multiply(X1,X3)))),
inference(forward_demodulation,[],[f100,f1]) ).
fof(f147,plain,
! [X2,X0] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X2)),b2),inverse(sF1))))) = X2,
inference(backward_demodulation,[],[f46,f99]) ).
fof(f164,plain,
! [X2,X3,X0,X5] : multiply(X2,inverse(multiply(multiply(inverse(X0),X5),inverse(multiply(X3,X5))))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1)))))),b2),inverse(sF1)))),
inference(forward_demodulation,[],[f98,f86]) ).
fof(f192,plain,
! [X0,X5] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(X0),multiply(X0,X5)))),b2),inverse(sF1))) = X5,
inference(backward_demodulation,[],[f60,f138]) ).
fof(f242,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(inverse(X1)),X0))),b2),inverse(sF1))))),b2),inverse(sF1))) = inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))),
inference(superposition,[],[f138,f14]) ).
fof(f245,plain,
! [X0] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1))) = inverse(multiply(multiply(inverse(multiply(inverse(sF1),X0)),a2),inverse(sF2))),
inference(superposition,[],[f138,f9]) ).
fof(f253,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1)))))),b2),inverse(sF1))),
inference(forward_demodulation,[],[f242,f88]) ).
fof(f256,plain,
! [X0] : multiply(sF0,multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1))))) = X0,
inference(superposition,[],[f147,f5]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(X3,X2))))) = multiply(X0,inverse(multiply(multiply(inverse(X1),X4),inverse(multiply(X3,X4))))),
inference(superposition,[],[f164,f164]) ).
fof(f288,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),X1)),b2),inverse(sF1))) = multiply(X0,inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X0),X2))))),
inference(superposition,[],[f14,f164]) ).
fof(f361,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X1),X4),inverse(multiply(X3,X4)))) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(X3,X2))))))),b2),inverse(sF1)))),
inference(superposition,[],[f14,f282]) ).
fof(f366,plain,
! [X2,X3,X1,X4] : inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(X3,X2)))) = inverse(multiply(multiply(inverse(X1),X4),inverse(multiply(X3,X4)))),
inference(forward_demodulation,[],[f361,f14]) ).
fof(f409,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),b2),inverse(sF1))) = inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(sF0,X1)))),
inference(superposition,[],[f366,f7]) ).
fof(f410,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),a2),inverse(sF2))) = inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(sF1,X1)))),
inference(superposition,[],[f366,f9]) ).
fof(f418,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X3)),b2),inverse(sF1)))))),b2),inverse(sF1))))) = inverse(multiply(multiply(inverse(X0),X4),inverse(multiply(multiply(inverse(X3),X2),X4)))),
inference(superposition,[],[f366,f164]) ).
fof(f448,plain,
! [X0] : inverse(multiply(multiply(sF0,b2),inverse(sF1))) = inverse(multiply(multiply(sF0,X0),inverse(multiply(sF0,X0)))),
inference(superposition,[],[f409,f5]) ).
fof(f487,plain,
! [X0] : inverse(multiply(multiply(sF0,X0),inverse(multiply(sF0,X0)))) = inverse(multiply(sF1,inverse(sF1))),
inference(forward_demodulation,[],[f448,f7]) ).
fof(f488,plain,
! [X0] : inverse(multiply(sF1,inverse(sF1))) = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f487,f14]) ).
fof(f506,plain,
inverse(multiply(sF1,inverse(sF1))) = inverse(multiply(b2,sF0)),
inference(superposition,[],[f488,f5]) ).
fof(f512,plain,
! [X0] : inverse(multiply(sF1,inverse(sF1))) = inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(sF1,inverse(sF1))))),
inference(superposition,[],[f488,f488]) ).
fof(f531,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = inverse(multiply(multiply(inverse(X0),inverse(X1)),inverse(multiply(sF1,inverse(sF1))))),
inference(superposition,[],[f366,f488]) ).
fof(f533,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(X1),X3),inverse(multiply(X2,X3))))) = multiply(X0,inverse(multiply(multiply(inverse(X1),inverse(X2)),inverse(multiply(sF1,inverse(sF1)))))),
inference(superposition,[],[f282,f488]) ).
fof(f534,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X1)),b2),inverse(sF1)))))),b2),inverse(sF1)))) = multiply(X0,inverse(multiply(multiply(inverse(X1),inverse(X2)),inverse(multiply(sF1,inverse(sF1)))))),
inference(superposition,[],[f164,f488]) ).
fof(f575,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X0),X4),inverse(multiply(multiply(inverse(X3),X2),X4)))) = inverse(multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(multiply(multiply(inverse(X3),inverse(X1)),inverse(multiply(sF1,inverse(sF1))))))),
inference(backward_demodulation,[],[f418,f534]) ).
fof(f584,plain,
! [X0] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(b2,sF0)),
inference(backward_demodulation,[],[f488,f506]) ).
fof(f589,plain,
! [X0] : inverse(multiply(b2,sF0)) = inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f512,f506]) ).
fof(f592,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = inverse(multiply(multiply(inverse(X0),inverse(X1)),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f531,f506]) ).
fof(f593,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(X1),X3),inverse(multiply(X2,X3))))) = multiply(X0,inverse(multiply(multiply(inverse(X1),inverse(X2)),inverse(multiply(b2,sF0))))),
inference(backward_demodulation,[],[f533,f506]) ).
fof(f602,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X0),X4),inverse(multiply(multiply(inverse(X3),X2),X4)))) = inverse(multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(multiply(multiply(inverse(X3),inverse(X1)),inverse(multiply(b2,sF0)))))),
inference(forward_demodulation,[],[f575,f506]) ).
fof(f934,plain,
! [X2,X0,X1] : inverse(multiply(b2,sF0)) = inverse(multiply(multiply(multiply(multiply(inverse(multiply(inverse(X1),X0)),X2),inverse(multiply(X1,X2))),inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1)))),inverse(multiply(b2,sF0)))),
inference(superposition,[],[f589,f138]) ).
fof(f1419,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(multiply(multiply(inverse(multiply(inverse(X4),X0)),X5),inverse(multiply(X4,X5))),X3))))) = multiply(X1,inverse(multiply(multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1)))),inverse(multiply(b2,sF0))))),
inference(superposition,[],[f593,f138]) ).
fof(f1508,plain,
! [X2,X3,X0,X6] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X3)),b2),inverse(sF1)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(X0,X3)),inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(inverse(X6)),multiply(inverse(X6),X0)))),b2),inverse(sF1)))),inverse(multiply(b2,sF0))))),
inference(backward_demodulation,[],[f120,f1419]) ).
fof(f1518,plain,
! [X2,X3,X0,X6] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X3)),b2),inverse(sF1)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(X0,X3)),multiply(X6,inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(X6),X0))),b2),inverse(sF1))))),inverse(multiply(b2,sF0))))),
inference(forward_demodulation,[],[f1508,f88]) ).
fof(f1520,plain,
! [X2,X3,X0] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),X3)),b2),inverse(sF1)))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(X0,X3)),X0),inverse(multiply(b2,sF0))))),
inference(forward_demodulation,[],[f1518,f14]) ).
fof(f1564,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(X0),inverse(multiply(multiply(inverse(multiply(inverse(sF0),X1)),b2),inverse(sF1)))))),b2),inverse(sF1)))) = inverse(multiply(multiply(inverse(multiply(X2,X1)),X2),inverse(multiply(b2,sF0)))),
inference(superposition,[],[f14,f1520]) ).
fof(f1602,plain,
! [X2,X1] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),X1)),b2),inverse(sF1))) = inverse(multiply(multiply(inverse(multiply(X2,X1)),X2),inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f1564,f14]) ).
fof(f1824,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(b2,sF0)))) = inverse(multiply(multiply(inverse(multiply(inverse(sF0),inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(X1),X0))),b2),inverse(sF1))))),b2),inverse(sF1))),
inference(superposition,[],[f1602,f14]) ).
fof(f1843,plain,
! [X0] : inverse(multiply(multiply(inverse(multiply(b2,sF0)),X0),inverse(multiply(b2,sF0)))) = inverse(multiply(multiply(inverse(multiply(inverse(sF0),inverse(X0))),b2),inverse(sF1))),
inference(superposition,[],[f1602,f584]) ).
fof(f1909,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(b2,sF0)))) = inverse(multiply(multiply(inverse(multiply(b2,sF0)),multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(X1),X0))),b2),inverse(sF1))),inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f1824,f1843]) ).
fof(f2450,plain,
b2 = multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),sF1)),b2),inverse(sF1)))),
inference(superposition,[],[f84,f7]) ).
fof(f2459,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1))) = multiply(b2,inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(sF0,X1))))),
inference(superposition,[],[f164,f84]) ).
fof(f2470,plain,
! [X0] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(sF0,X0))),b2),inverse(sF1))))),b2),inverse(sF1))) = inverse(multiply(multiply(inverse(X0),b2),inverse(multiply(b2,sF0)))),
inference(superposition,[],[f1602,f84]) ).
fof(f2471,plain,
! [X0] : inverse(multiply(multiply(inverse(X0),b2),inverse(multiply(b2,sF0)))) = inverse(multiply(multiply(inverse(multiply(b2,sF0)),multiply(multiply(inverse(multiply(inverse(sF0),multiply(sF0,X0))),b2),inverse(sF1))),inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f2470,f1843]) ).
fof(f2477,plain,
! [X0] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),X0)),b2),inverse(sF1))) = multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),
inference(forward_demodulation,[],[f2459,f409]) ).
fof(f2486,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(inverse(X1)),X0))),b2),inverse(sF1))) = multiply(X1,multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1))))),
inference(backward_demodulation,[],[f88,f2477]) ).
fof(f2487,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X1),X0)),X3),inverse(multiply(X1,X3)))) = multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f138,f2477]) ).
fof(f2488,plain,
! [X2,X3,X0,X5] : multiply(X2,inverse(multiply(multiply(inverse(X0),X5),inverse(multiply(X3,X5))))) = multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(X3,multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1))))))),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f164,f2477]) ).
fof(f2494,plain,
! [X0] : inverse(multiply(multiply(inverse(multiply(inverse(sF1),X0)),a2),inverse(sF2))) = multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f245,f2477]) ).
fof(f2496,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(X1,multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1))))))),b2),inverse(sF1))),
inference(backward_demodulation,[],[f253,f2477]) ).
fof(f2497,plain,
! [X0] : multiply(sF0,multiply(b2,multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))))) = X0,
inference(backward_demodulation,[],[f256,f2477]) ).
fof(f2502,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X0),X2))))) = multiply(b2,inverse(multiply(multiply(inverse(X1),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f288,f2477]) ).
fof(f2517,plain,
! [X2,X0,X1] : inverse(multiply(b2,sF0)) = inverse(multiply(multiply(multiply(multiply(inverse(multiply(inverse(X1),X0)),X2),inverse(multiply(X1,X2))),multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1))))),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f934,f2477]) ).
fof(f2531,plain,
! [X2,X1] : inverse(multiply(multiply(inverse(multiply(X2,X1)),X2),inverse(multiply(b2,sF0)))) = multiply(b2,inverse(multiply(multiply(inverse(X1),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f1602,f2477]) ).
fof(f2607,plain,
! [X0] : inverse(multiply(multiply(inverse(multiply(b2,sF0)),X0),inverse(multiply(b2,sF0)))) = multiply(b2,inverse(multiply(multiply(inverse(inverse(X0)),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f1843,f2477]) ).
fof(f2611,plain,
! [X0,X1] : multiply(X0,multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(X0),X1)),b2),inverse(sF1))))) = X1,
inference(backward_demodulation,[],[f14,f2477]) ).
fof(f2624,plain,
! [X0,X5] : multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,X5))),b2),inverse(sF1)))) = X5,
inference(backward_demodulation,[],[f192,f2477]) ).
fof(f2631,plain,
b2 = multiply(b2,multiply(b2,inverse(multiply(multiply(inverse(sF1),b2),inverse(sF1))))),
inference(backward_demodulation,[],[f2450,f2477]) ).
fof(f2639,plain,
! [X0] : inverse(multiply(multiply(inverse(X0),b2),inverse(multiply(b2,sF0)))) = multiply(b2,inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(sF0,X0))),b2),inverse(sF1)))),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f2471,f2607]) ).
fof(f2640,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(b2,sF0)))) = multiply(b2,inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(sF0),multiply(inverse(X1),X0))),b2),inverse(sF1)))),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f1909,f2607]) ).
fof(f2677,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = multiply(b2,inverse(multiply(multiply(inverse(multiply(X1,multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))))),b2),inverse(sF1)))),
inference(forward_demodulation,[],[f2496,f2477]) ).
fof(f2683,plain,
! [X2,X3,X0,X5] : multiply(X2,inverse(multiply(multiply(inverse(X0),X5),inverse(multiply(X3,X5))))) = multiply(X2,multiply(b2,inverse(multiply(multiply(inverse(multiply(X3,multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))))),b2),inverse(sF1))))),
inference(forward_demodulation,[],[f2488,f2477]) ).
fof(f2684,plain,
! [X0,X1] : multiply(X1,multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1))))) = multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X1)),X0)),b2),inverse(sF1)))),
inference(forward_demodulation,[],[f2486,f2477]) ).
fof(f2694,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(b2,sF0)))) = multiply(b2,inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(X1),X0)),b2),inverse(sF1))))),b2),inverse(sF1)))),
inference(forward_demodulation,[],[f2640,f2477]) ).
fof(f2695,plain,
! [X0] : inverse(multiply(multiply(inverse(X0),b2),inverse(multiply(b2,sF0)))) = multiply(b2,inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(multiply(sF0,X0)),b2),inverse(sF1))))),b2),inverse(sF1)))),
inference(forward_demodulation,[],[f2639,f2477]) ).
fof(f2724,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,multiply(b2,inverse(multiply(multiply(inverse(multiply(b2,sF0)),b2),inverse(sF1))))),
inference(superposition,[],[f2611,f584]) ).
fof(f2850,plain,
! [X3,X0,X4] : inverse(multiply(multiply(multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),X3),inverse(multiply(X4,X3)))) = inverse(multiply(multiply(multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),inverse(X4)),inverse(multiply(b2,sF0)))),
inference(superposition,[],[f592,f2487]) ).
fof(f2913,plain,
! [X0,X1,X4] : multiply(X1,inverse(multiply(multiply(multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),X4),inverse(multiply(inverse(X1),X4))))) = multiply(b2,inverse(multiply(multiply(multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),b2),inverse(sF1)))),
inference(superposition,[],[f2502,f2487]) ).
fof(f2947,plain,
! [X0] : multiply(X0,inverse(multiply(b2,sF0))) = multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),
inference(superposition,[],[f2502,f584]) ).
fof(f2997,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X1),X0)),X3),inverse(multiply(X1,X3)))) = multiply(X0,inverse(multiply(b2,sF0))),
inference(backward_demodulation,[],[f2487,f2947]) ).
fof(f2999,plain,
! [X0] : inverse(multiply(multiply(inverse(multiply(inverse(sF1),X0)),a2),inverse(sF2))) = multiply(X0,inverse(multiply(b2,sF0))),
inference(backward_demodulation,[],[f2494,f2947]) ).
fof(f3000,plain,
! [X0] : multiply(sF0,multiply(b2,multiply(X0,inverse(multiply(b2,sF0))))) = X0,
inference(backward_demodulation,[],[f2497,f2947]) ).
fof(f3002,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X0),X2))))) = multiply(X1,inverse(multiply(b2,sF0))),
inference(backward_demodulation,[],[f2502,f2947]) ).
fof(f3012,plain,
! [X2,X0,X1] : inverse(multiply(b2,sF0)) = inverse(multiply(multiply(multiply(multiply(inverse(multiply(inverse(X1),X0)),X2),inverse(multiply(X1,X2))),multiply(X0,inverse(multiply(b2,sF0)))),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f2517,f2947]) ).
fof(f3025,plain,
! [X2,X1] : multiply(X1,inverse(multiply(b2,sF0))) = inverse(multiply(multiply(inverse(multiply(X2,X1)),X2),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f2531,f2947]) ).
fof(f3105,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = multiply(b2,inverse(multiply(multiply(inverse(multiply(X1,multiply(X0,inverse(multiply(b2,sF0))))),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f2677,f2947]) ).
fof(f3109,plain,
! [X2,X3,X0,X5] : multiply(X2,inverse(multiply(multiply(inverse(X0),X5),inverse(multiply(X3,X5))))) = multiply(X2,multiply(b2,inverse(multiply(multiply(inverse(multiply(X3,multiply(X0,inverse(multiply(b2,sF0))))),b2),inverse(sF1))))),
inference(backward_demodulation,[],[f2683,f2947]) ).
fof(f3110,plain,
! [X0,X1] : multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X1)),X0)),b2),inverse(sF1)))) = multiply(X1,multiply(X0,inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f2684,f2947]) ).
fof(f3119,plain,
! [X3,X0,X4] : inverse(multiply(multiply(multiply(X0,inverse(multiply(b2,sF0))),X3),inverse(multiply(X4,X3)))) = inverse(multiply(multiply(multiply(X0,inverse(multiply(b2,sF0))),inverse(X4)),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f2850,f2947]) ).
fof(f3154,plain,
! [X0,X1] : multiply(X0,multiply(multiply(inverse(X0),X1),inverse(multiply(b2,sF0)))) = X1,
inference(backward_demodulation,[],[f2611,f2947]) ).
fof(f3159,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(b2,sF0)))) = multiply(b2,inverse(multiply(multiply(inverse(multiply(multiply(inverse(X1),X0),inverse(multiply(b2,sF0)))),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f2694,f2947]) ).
fof(f3164,plain,
! [X0,X5] : multiply(multiply(inverse(X0),multiply(X0,X5)),inverse(multiply(b2,sF0))) = X5,
inference(backward_demodulation,[],[f2624,f2947]) ).
fof(f3165,plain,
! [X0] : inverse(multiply(multiply(inverse(X0),b2),inverse(multiply(b2,sF0)))) = multiply(multiply(b2,inverse(multiply(multiply(inverse(multiply(sF0,X0)),b2),inverse(sF1)))),inverse(multiply(b2,sF0))),
inference(backward_demodulation,[],[f2695,f2947]) ).
fof(f3166,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,multiply(multiply(b2,sF0),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f2724,f2947]) ).
fof(f3172,plain,
b2 = multiply(b2,multiply(sF1,inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f2631,f2947]) ).
fof(f3206,plain,
! [X0,X1,X4] : multiply(X1,inverse(multiply(multiply(multiply(X0,inverse(multiply(b2,sF0))),X4),inverse(multiply(inverse(X1),X4))))) = multiply(b2,inverse(multiply(multiply(multiply(X0,inverse(multiply(b2,sF0))),b2),inverse(sF1)))),
inference(forward_demodulation,[],[f2913,f2947]) ).
fof(f3221,plain,
! [X0] : inverse(multiply(multiply(inverse(X0),b2),inverse(multiply(b2,sF0)))) = multiply(multiply(multiply(sF0,X0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f3165,f2947]) ).
fof(f3222,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(b2,sF0)))) = multiply(multiply(multiply(inverse(X1),X0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f3159,f2947]) ).
fof(f3237,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(multiply(b2,sF0)))) = multiply(multiply(inverse(inverse(X1)),X0),inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f3110,f2947]) ).
fof(f3238,plain,
! [X2,X3,X0,X5] : multiply(X2,inverse(multiply(multiply(inverse(X0),X5),inverse(multiply(X3,X5))))) = multiply(X2,multiply(multiply(X3,multiply(X0,inverse(multiply(b2,sF0)))),inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f3109,f2947]) ).
fof(f3242,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = multiply(multiply(X1,multiply(X0,inverse(multiply(b2,sF0)))),inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f3105,f2947]) ).
fof(f3532,plain,
! [X0] : multiply(multiply(sF0,multiply(b2,X0)),inverse(multiply(b2,sF0))) = X0,
inference(superposition,[],[f3164,f5]) ).
fof(f3551,plain,
a2 = multiply(multiply(inverse(sF1),sF2),inverse(multiply(b2,sF0))),
inference(superposition,[],[f3164,f9]) ).
fof(f3573,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1)))),X4),inverse(multiply(inverse(X3),X4))))) = multiply(multiply(multiply(inverse(X0),inverse(X2)),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))),
inference(superposition,[],[f3002,f592]) ).
fof(f3575,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(multiply(X0,inverse(multiply(b2,sF0))),X4),inverse(multiply(inverse(X1),X4))))) = multiply(multiply(multiply(inverse(multiply(inverse(X2),X0)),X3),inverse(multiply(X2,X3))),inverse(multiply(b2,sF0))),
inference(superposition,[],[f3002,f2997]) ).
fof(f3578,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1)),inverse(multiply(b2,sF0))) = multiply(X0,inverse(multiply(multiply(inverse(multiply(b2,sF0)),X2),inverse(multiply(inverse(X0),X2))))),
inference(superposition,[],[f3002,f584]) ).
fof(f3672,plain,
! [X1] : multiply(multiply(b2,sF0),inverse(multiply(b2,sF0))) = multiply(multiply(X1,inverse(X1)),inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f3578,f3002]) ).
fof(f3675,plain,
! [X2,X3,X0] : multiply(b2,inverse(multiply(multiply(multiply(X0,inverse(multiply(b2,sF0))),b2),inverse(sF1)))) = multiply(multiply(multiply(inverse(multiply(inverse(X2),X0)),X3),inverse(multiply(X2,X3))),inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f3575,f3206]) ).
fof(f3677,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1)))),X4),inverse(multiply(inverse(X3),X4))))) = inverse(multiply(multiply(inverse(inverse(X2)),X0),inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f3573,f3222]) ).
fof(f3699,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1)))),X4),inverse(multiply(inverse(X3),X4))))) = inverse(multiply(X2,multiply(X0,inverse(multiply(b2,sF0))))),
inference(forward_demodulation,[],[f3677,f3237]) ).
fof(f3704,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,inverse(multiply(b2,sF0))))) = multiply(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1))),inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f3699,f3002]) ).
fof(f3711,plain,
! [X2,X0] : multiply(b2,inverse(multiply(multiply(multiply(X0,inverse(multiply(b2,sF0))),b2),inverse(sF1)))) = inverse(multiply(X2,multiply(multiply(inverse(X2),X0),inverse(multiply(b2,sF0))))),
inference(backward_demodulation,[],[f3675,f3704]) ).
fof(f3712,plain,
! [X0] : inverse(X0) = multiply(b2,inverse(multiply(multiply(multiply(X0,inverse(multiply(b2,sF0))),b2),inverse(sF1)))),
inference(forward_demodulation,[],[f3711,f3154]) ).
fof(f3720,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X0),X1),inverse(multiply(sF1,X1))),multiply(X2,inverse(multiply(b2,sF0)))) = multiply(multiply(inverse(inverse(multiply(multiply(inverse(X0),a2),inverse(sF2)))),X2),inverse(multiply(b2,sF0))),
inference(superposition,[],[f3237,f410]) ).
fof(f3721,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X0),inverse(X2)),inverse(multiply(b2,sF0))),multiply(X3,inverse(multiply(b2,sF0)))) = multiply(multiply(inverse(inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1))))),X3),inverse(multiply(b2,sF0))),
inference(superposition,[],[f3237,f592]) ).
fof(f3723,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(multiply(inverse(X1),X0)),X2),inverse(multiply(X1,X2))),multiply(X3,inverse(multiply(b2,sF0)))) = multiply(multiply(inverse(multiply(X0,inverse(multiply(b2,sF0)))),X3),inverse(multiply(b2,sF0))),
inference(superposition,[],[f3237,f2997]) ).
fof(f3739,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(inverse(X1),inverse(multiply(b2,sF0))))) = inverse(multiply(multiply(inverse(inverse(X0)),X2),inverse(multiply(X1,X2)))),
inference(superposition,[],[f592,f3237]) ).
fof(f3770,plain,
! [X0] : inverse(multiply(b2,sF0)) = inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(multiply(b2,sF0)))),X0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f3012,f3723]) ).
fof(f3775,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X0),inverse(X2)),inverse(multiply(b2,sF0))),multiply(X3,inverse(multiply(b2,sF0)))) = multiply(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1))),multiply(X3,inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f3721,f3237]) ).
fof(f3776,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X0),X1),inverse(multiply(sF1,X1))),multiply(X2,inverse(multiply(b2,sF0)))) = multiply(multiply(multiply(inverse(X0),a2),inverse(sF2)),multiply(X2,inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f3720,f3237]) ).
fof(f3785,plain,
! [X0] : inverse(multiply(b2,sF0)) = inverse(inverse(multiply(multiply(inverse(X0),multiply(X0,inverse(multiply(b2,sF0)))),inverse(multiply(b2,sF0))))),
inference(forward_demodulation,[],[f3770,f3222]) ).
fof(f3789,plain,
inverse(multiply(b2,sF0)) = inverse(inverse(inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f3785,f3164]) ).
fof(f4017,plain,
! [X0,X1] : multiply(sF0,multiply(b2,X0)) = multiply(inverse(X1),multiply(X1,X0)),
inference(superposition,[],[f3000,f3164]) ).
fof(f4111,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(X3,X2)))))) = multiply(sF0,multiply(b2,inverse(multiply(multiply(inverse(X1),inverse(X3)),inverse(multiply(b2,sF0)))))),
inference(superposition,[],[f4017,f593]) ).
fof(f4129,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),inverse(multiply(b2,sF0))) = inverse(multiply(multiply(inverse(multiply(sF0,multiply(b2,X0))),X2),inverse(multiply(X1,X2)))),
inference(superposition,[],[f2997,f4017]) ).
fof(f4140,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X1),multiply(X2,X0)),inverse(multiply(sF0,multiply(b2,X0))))) = inverse(multiply(multiply(inverse(X1),inverse(inverse(X2))),inverse(multiply(b2,sF0)))),
inference(superposition,[],[f592,f4017]) ).
fof(f4161,plain,
! [X2,X3,X1] : multiply(sF0,multiply(b2,inverse(multiply(multiply(inverse(X1),X2),inverse(multiply(X3,X2)))))) = multiply(sF0,multiply(b2,inverse(multiply(multiply(inverse(X1),inverse(X3)),inverse(multiply(b2,sF0)))))),
inference(forward_demodulation,[],[f4111,f4017]) ).
fof(f4364,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,inverse(multiply(b2,sF0)))) = multiply(sF0,multiply(b2,inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1)))))),
inference(superposition,[],[f3000,f3238]) ).
fof(f4376,plain,
! [X3,X1] : multiply(X3,multiply(X1,inverse(multiply(b2,sF0)))) = multiply(sF0,multiply(b2,inverse(multiply(multiply(inverse(X1),inverse(X3)),inverse(multiply(b2,sF0)))))),
inference(backward_demodulation,[],[f4161,f4364]) ).
fof(f4634,plain,
! [X0,X1] : multiply(sF0,multiply(b2,X1)) = multiply(multiply(X0,inverse(multiply(b2,sF0))),multiply(multiply(multiply(inverse(multiply(inverse(sF1),X0)),a2),inverse(sF2)),X1)),
inference(superposition,[],[f4017,f2999]) ).
fof(f4671,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(multiply(inverse(X2),multiply(sF1,inverse(multiply(b2,sF0)))),X1)))) = inverse(multiply(multiply(inverse(X0),inverse(b2)),inverse(multiply(multiply(inverse(X2),inverse(b2)),inverse(multiply(b2,sF0)))))),
inference(superposition,[],[f602,f3172]) ).
fof(f4673,plain,
multiply(multiply(sF1,inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))) = inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(b2,sF0)))),
inference(superposition,[],[f3025,f3172]) ).
fof(f4678,plain,
multiply(multiply(sF1,inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))) = inverse(multiply(multiply(sF0,b2),inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f4673,f5]) ).
fof(f4680,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(multiply(inverse(X2),multiply(sF1,inverse(multiply(b2,sF0)))),X1)))) = inverse(multiply(multiply(inverse(X0),sF0),inverse(multiply(multiply(inverse(X2),sF0),inverse(multiply(b2,sF0)))))),
inference(forward_demodulation,[],[f4671,f5]) ).
fof(f4690,plain,
multiply(multiply(sF1,inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))) = inverse(multiply(sF1,inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f4678,f7]) ).
fof(f5020,plain,
inverse(inverse(inverse(multiply(b2,sF0)))) = multiply(sF0,multiply(b2,inverse(multiply(b2,sF0)))),
inference(superposition,[],[f4017,f3166]) ).
fof(f5027,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),inverse(X1)),inverse(multiply(b2,sF0)))) = inverse(multiply(inverse(inverse(inverse(X0))),inverse(multiply(X1,multiply(multiply(b2,sF0),inverse(multiply(b2,sF0))))))),
inference(superposition,[],[f592,f3166]) ).
fof(f5028,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(inverse(inverse(X0))),inverse(multiply(X2,multiply(multiply(b2,sF0),inverse(multiply(b2,sF0)))))))) = multiply(X1,inverse(multiply(multiply(inverse(X0),inverse(X2)),inverse(multiply(b2,sF0))))),
inference(superposition,[],[f593,f3166]) ).
fof(f5031,plain,
! [X0,X1] : multiply(multiply(multiply(b2,sF0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))) = inverse(multiply(multiply(inverse(inverse(inverse(inverse(X0)))),X1),inverse(multiply(X0,X1)))),
inference(superposition,[],[f2997,f3166]) ).
fof(f5035,plain,
! [X0,X1] : multiply(multiply(X1,multiply(X0,inverse(multiply(b2,sF0)))),inverse(multiply(b2,sF0))) = inverse(multiply(inverse(inverse(inverse(X0))),inverse(multiply(X1,multiply(multiply(b2,sF0),inverse(multiply(b2,sF0))))))),
inference(superposition,[],[f3242,f3166]) ).
fof(f5058,plain,
! [X0,X1] : multiply(multiply(X1,multiply(X0,inverse(multiply(b2,sF0)))),inverse(multiply(b2,sF0))) = inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(inverse(X1))))),
inference(forward_demodulation,[],[f5035,f3166]) ).
fof(f5061,plain,
! [X0] : multiply(multiply(multiply(b2,sF0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))) = inverse(multiply(inverse(inverse(X0)),multiply(inverse(X0),inverse(multiply(b2,sF0))))),
inference(forward_demodulation,[],[f5031,f3739]) ).
fof(f5064,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(inverse(X0),inverse(X2)),inverse(multiply(b2,sF0))))) = multiply(X1,inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(inverse(X2)))))),
inference(forward_demodulation,[],[f5028,f3166]) ).
fof(f5065,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),inverse(X1)),inverse(multiply(b2,sF0)))) = inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(inverse(X1))))),
inference(forward_demodulation,[],[f5027,f3166]) ).
fof(f5072,plain,
inverse(multiply(b2,sF0)) = multiply(sF0,multiply(b2,inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f5020,f3789]) ).
fof(f5091,plain,
multiply(multiply(multiply(b2,sF0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))) = inverse(multiply(sF0,multiply(b2,inverse(multiply(b2,sF0))))),
inference(forward_demodulation,[],[f5061,f4017]) ).
fof(f5160,plain,
! [X3,X1] : multiply(X3,multiply(X1,inverse(multiply(b2,sF0)))) = multiply(sF0,multiply(b2,inverse(multiply(inverse(inverse(inverse(X1))),inverse(inverse(inverse(X3))))))),
inference(backward_demodulation,[],[f4376,f5064]) ).
fof(f5180,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X1),multiply(X2,X0)),inverse(multiply(sF0,multiply(b2,X0))))) = inverse(multiply(inverse(inverse(inverse(X1))),inverse(inverse(inverse(inverse(X2)))))),
inference(backward_demodulation,[],[f4140,f5065]) ).
fof(f5220,plain,
inverse(inverse(multiply(b2,sF0))) = multiply(multiply(multiply(b2,sF0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f5091,f5072]) ).
fof(f5251,plain,
multiply(multiply(b2,sF0),inverse(multiply(b2,sF0))) = inverse(inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f5220,f3672]) ).
fof(f5260,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f3166,f5251]) ).
fof(f5261,plain,
inverse(multiply(b2,sF0)) = inverse(inverse(inverse(inverse(multiply(b2,sF0))))),
inference(superposition,[],[f584,f5260]) ).
fof(f5324,plain,
inverse(multiply(b2,sF0)) = inverse(inverse(multiply(b2,sF0))),
inference(forward_demodulation,[],[f5261,f3789]) ).
fof(f5339,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(multiply(b2,sF0))),
inference(backward_demodulation,[],[f5260,f5324]) ).
fof(f5348,plain,
! [X0] : inverse(inverse(X0)) = multiply(b2,inverse(multiply(multiply(inverse(X0),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f2947,f5339]) ).
fof(f5353,plain,
! [X0] : multiply(sF0,multiply(b2,inverse(inverse(X0)))) = X0,
inference(backward_demodulation,[],[f3000,f5339]) ).
fof(f5366,plain,
! [X2,X1] : inverse(inverse(X1)) = inverse(multiply(multiply(inverse(multiply(X2,X1)),X2),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f3025,f5339]) ).
fof(f5372,plain,
! [X3,X0,X4] : inverse(multiply(multiply(inverse(inverse(X0)),X3),inverse(multiply(X4,X3)))) = inverse(multiply(multiply(inverse(inverse(X0)),inverse(X4)),inverse(multiply(b2,sF0)))),
inference(backward_demodulation,[],[f3119,f5339]) ).
fof(f5386,plain,
! [X0,X1] : multiply(multiply(inverse(inverse(X1)),X0),inverse(multiply(b2,sF0))) = multiply(X1,inverse(inverse(X0))),
inference(backward_demodulation,[],[f3237,f5339]) ).
fof(f5389,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = multiply(multiply(X1,inverse(inverse(X0))),inverse(multiply(b2,sF0))),
inference(backward_demodulation,[],[f3242,f5339]) ).
fof(f5402,plain,
! [X0] : inverse(X0) = multiply(b2,inverse(multiply(multiply(inverse(inverse(X0)),b2),inverse(sF1)))),
inference(backward_demodulation,[],[f3712,f5339]) ).
fof(f5409,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X0),inverse(X2)),inverse(multiply(b2,sF0))),inverse(inverse(X3))) = multiply(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1))),inverse(inverse(X3))),
inference(backward_demodulation,[],[f3775,f5339]) ).
fof(f5410,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X0),X1),inverse(multiply(sF1,X1))),inverse(inverse(X2))) = multiply(multiply(multiply(inverse(X0),a2),inverse(sF2)),inverse(inverse(X2))),
inference(backward_demodulation,[],[f3776,f5339]) ).
fof(f5466,plain,
! [X0,X1] : multiply(sF0,multiply(b2,X1)) = multiply(inverse(inverse(X0)),multiply(multiply(multiply(inverse(multiply(inverse(sF1),X0)),a2),inverse(sF2)),X1)),
inference(backward_demodulation,[],[f4634,f5339]) ).
fof(f5472,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(inverse(X1))))) = multiply(multiply(X1,inverse(inverse(X0))),inverse(multiply(b2,sF0))),
inference(backward_demodulation,[],[f5058,f5339]) ).
fof(f5491,plain,
! [X3,X1] : multiply(sF0,multiply(b2,inverse(multiply(inverse(inverse(inverse(X1))),inverse(inverse(inverse(X3))))))) = multiply(X3,inverse(inverse(X1))),
inference(backward_demodulation,[],[f5160,f5339]) ).
fof(f5543,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(multiply(sF0,multiply(b2,X0))),X2),inverse(multiply(X1,X2)))) = inverse(inverse(multiply(X1,X0))),
inference(backward_demodulation,[],[f4129,f5339]) ).
fof(f5547,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(X0),X1)))) = multiply(multiply(multiply(inverse(X1),X0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))),
inference(backward_demodulation,[],[f3222,f5339]) ).
fof(f5550,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = inverse(inverse(inverse(multiply(inverse(X0),inverse(X1))))),
inference(backward_demodulation,[],[f592,f5339]) ).
fof(f5557,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(inverse(X1))))) = inverse(inverse(inverse(multiply(inverse(X0),inverse(X1))))),
inference(backward_demodulation,[],[f5065,f5339]) ).
fof(f5562,plain,
! [X0] : multiply(multiply(multiply(sF0,X0),inverse(multiply(b2,sF0))),inverse(multiply(b2,sF0))) = inverse(inverse(inverse(multiply(inverse(X0),b2)))),
inference(backward_demodulation,[],[f3221,f5339]) ).
fof(f5564,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(multiply(inverse(X2),multiply(sF1,inverse(multiply(b2,sF0)))),X1)))) = inverse(multiply(multiply(inverse(X0),sF0),inverse(inverse(inverse(multiply(inverse(X2),sF0)))))),
inference(backward_demodulation,[],[f4680,f5339]) ).
fof(f5575,plain,
a2 = inverse(inverse(multiply(inverse(sF1),sF2))),
inference(backward_demodulation,[],[f3551,f5339]) ).
fof(f5594,plain,
! [X0] : inverse(inverse(multiply(sF0,multiply(b2,X0)))) = X0,
inference(backward_demodulation,[],[f3532,f5339]) ).
fof(f5596,plain,
inverse(multiply(sF1,inverse(multiply(b2,sF0)))) = inverse(inverse(multiply(sF1,inverse(multiply(b2,sF0))))),
inference(backward_demodulation,[],[f4690,f5339]) ).
fof(f5615,plain,
inverse(inverse(inverse(sF1))) = inverse(inverse(inverse(inverse(sF1)))),
inference(forward_demodulation,[],[f5596,f5339]) ).
fof(f5629,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),sF0),inverse(inverse(inverse(multiply(inverse(X2),sF0)))))) = inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(multiply(inverse(X2),inverse(inverse(sF1))),X1)))),
inference(forward_demodulation,[],[f5564,f5339]) ).
fof(f5631,plain,
! [X0] : inverse(inverse(inverse(multiply(inverse(X0),b2)))) = inverse(inverse(multiply(multiply(sF0,X0),inverse(multiply(b2,sF0))))),
inference(forward_demodulation,[],[f5562,f5339]) ).
fof(f5671,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X1),multiply(X2,X0)),inverse(multiply(sF0,multiply(b2,X0))))) = inverse(inverse(inverse(multiply(inverse(X1),inverse(inverse(X2)))))),
inference(backward_demodulation,[],[f5180,f5557]) ).
fof(f5739,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(X0),X1)))) = inverse(inverse(multiply(multiply(inverse(X1),X0),inverse(multiply(b2,sF0))))),
inference(forward_demodulation,[],[f5547,f5339]) ).
fof(f5741,plain,
! [X0,X1] : inverse(inverse(multiply(X1,X0))) = inverse(inverse(inverse(multiply(inverse(multiply(sF0,multiply(b2,X0))),inverse(X1))))),
inference(forward_demodulation,[],[f5543,f5550]) ).
fof(f5787,plain,
! [X3,X1] : multiply(X3,inverse(inverse(X1))) = multiply(sF0,multiply(b2,inverse(inverse(inverse(multiply(inverse(X1),inverse(X3))))))),
inference(forward_demodulation,[],[f5491,f5557]) ).
fof(f5805,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(inverse(X1))))) = inverse(inverse(multiply(X1,inverse(inverse(X0))))),
inference(forward_demodulation,[],[f5472,f5339]) ).
fof(f5849,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1))),inverse(inverse(X3))) = multiply(inverse(inverse(multiply(inverse(X0),inverse(X2)))),inverse(inverse(X3))),
inference(forward_demodulation,[],[f5409,f5339]) ).
fof(f5867,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = inverse(inverse(multiply(X1,inverse(inverse(X0))))),
inference(forward_demodulation,[],[f5389,f5339]) ).
fof(f5870,plain,
! [X0,X1] : multiply(X1,inverse(inverse(X0))) = inverse(inverse(multiply(inverse(inverse(X1)),X0))),
inference(forward_demodulation,[],[f5386,f5339]) ).
fof(f5884,plain,
! [X3,X0,X4] : inverse(multiply(multiply(inverse(inverse(X0)),X3),inverse(multiply(X4,X3)))) = inverse(inverse(inverse(multiply(inverse(inverse(X0)),inverse(X4))))),
inference(forward_demodulation,[],[f5372,f5339]) ).
fof(f5890,plain,
! [X2,X1] : inverse(inverse(X1)) = inverse(inverse(inverse(multiply(inverse(multiply(X2,X1)),X2)))),
inference(forward_demodulation,[],[f5366,f5339]) ).
fof(f5903,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(backward_demodulation,[],[f5402,f5348]) ).
fof(f5924,plain,
! [X2,X0] : inverse(multiply(multiply(inverse(X0),sF0),inverse(inverse(inverse(multiply(inverse(X2),sF0)))))) = inverse(inverse(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),inverse(inverse(sF1)))))))),
inference(forward_demodulation,[],[f5629,f5550]) ).
fof(f5927,plain,
! [X0] : inverse(inverse(inverse(multiply(inverse(X0),b2)))) = inverse(inverse(inverse(inverse(multiply(sF0,X0))))),
inference(forward_demodulation,[],[f5631,f5339]) ).
fof(f5998,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(X0),X1)))) = inverse(inverse(inverse(inverse(multiply(inverse(X1),X0))))),
inference(forward_demodulation,[],[f5739,f5339]) ).
fof(f6027,plain,
! [X3,X1] : inverse(multiply(inverse(X1),inverse(X3))) = multiply(X3,inverse(inverse(X1))),
inference(forward_demodulation,[],[f5787,f5353]) ).
fof(f6041,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(X0),inverse(X1))))) = inverse(inverse(multiply(X1,inverse(inverse(X0))))),
inference(backward_demodulation,[],[f5557,f5805]) ).
fof(f6067,plain,
! [X2,X0] : multiply(multiply(multiply(inverse(X0),a2),inverse(sF2)),inverse(inverse(X2))) = multiply(inverse(inverse(multiply(inverse(X0),inverse(sF1)))),inverse(inverse(X2))),
inference(backward_demodulation,[],[f5410,f5849]) ).
fof(f6101,plain,
! [X3,X0,X4] : inverse(multiply(multiply(inverse(inverse(X0)),X3),inverse(multiply(X4,X3)))) = inverse(multiply(X0,inverse(inverse(inverse(X4))))),
inference(forward_demodulation,[],[f5884,f5870]) ).
fof(f6123,plain,
inverse(inverse(sF1)) = inverse(inverse(inverse(sF1))),
inference(backward_demodulation,[],[f5615,f5903]) ).
fof(f6134,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X1),multiply(X2,X0)),inverse(multiply(sF0,multiply(b2,X0))))) = inverse(multiply(inverse(X1),inverse(inverse(X2)))),
inference(backward_demodulation,[],[f5671,f5903]) ).
fof(f6145,plain,
! [X2,X1] : inverse(inverse(X1)) = inverse(multiply(inverse(multiply(X2,X1)),X2)),
inference(backward_demodulation,[],[f5890,f5903]) ).
fof(f6148,plain,
! [X0,X1] : inverse(inverse(multiply(X1,X0))) = inverse(multiply(inverse(multiply(sF0,multiply(b2,X0))),inverse(X1))),
inference(backward_demodulation,[],[f5741,f5903]) ).
fof(f6186,plain,
! [X2,X0] : inverse(multiply(multiply(inverse(X0),sF0),inverse(inverse(inverse(multiply(inverse(X2),sF0)))))) = inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),inverse(inverse(sF1)))))),
inference(forward_demodulation,[],[f5924,f5903]) ).
fof(f6189,plain,
! [X0] : inverse(inverse(multiply(sF0,X0))) = inverse(inverse(inverse(multiply(inverse(X0),b2)))),
inference(forward_demodulation,[],[f5927,f5903]) ).
fof(f6256,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(X0),X1)))) = inverse(inverse(multiply(inverse(X1),X0))),
inference(forward_demodulation,[],[f5998,f5903]) ).
fof(f6307,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(X1))) = inverse(inverse(multiply(X1,inverse(inverse(X0))))),
inference(forward_demodulation,[],[f6041,f5903]) ).
fof(f6331,plain,
! [X2,X0] : multiply(multiply(multiply(inverse(X0),a2),inverse(sF2)),inverse(inverse(X2))) = multiply(inverse(multiply(sF1,inverse(inverse(X0)))),inverse(inverse(X2))),
inference(forward_demodulation,[],[f6067,f6027]) ).
fof(f6356,plain,
! [X3,X0,X4] : inverse(multiply(multiply(inverse(inverse(X0)),X3),inverse(multiply(X4,X3)))) = inverse(multiply(X0,inverse(X4))),
inference(forward_demodulation,[],[f6101,f5903]) ).
fof(f6391,plain,
! [X0,X1] : inverse(inverse(multiply(X1,X0))) = multiply(X1,inverse(inverse(multiply(sF0,multiply(b2,X0))))),
inference(forward_demodulation,[],[f6148,f6027]) ).
fof(f6404,plain,
! [X2,X0,X1] : multiply(inverse(X2),inverse(inverse(X1))) = inverse(multiply(multiply(inverse(X1),multiply(X2,X0)),inverse(multiply(sF0,multiply(b2,X0))))),
inference(forward_demodulation,[],[f6134,f6027]) ).
fof(f6415,plain,
inverse(sF1) = inverse(inverse(sF1)),
inference(forward_demodulation,[],[f6123,f5903]) ).
fof(f6435,plain,
! [X2,X0] : inverse(multiply(multiply(inverse(X0),sF0),inverse(inverse(inverse(multiply(inverse(X2),sF0)))))) = multiply(multiply(inverse(X2),inverse(inverse(sF1))),inverse(inverse(X0))),
inference(forward_demodulation,[],[f6186,f6027]) ).
fof(f6437,plain,
! [X0] : inverse(inverse(multiply(sF0,X0))) = inverse(multiply(inverse(X0),b2)),
inference(forward_demodulation,[],[f6189,f5903]) ).
fof(f6499,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = inverse(inverse(multiply(inverse(X1),X0))),
inference(forward_demodulation,[],[f6256,f5903]) ).
fof(f6541,plain,
! [X0,X1] : multiply(X1,inverse(inverse(X0))) = inverse(inverse(multiply(X1,inverse(inverse(X0))))),
inference(forward_demodulation,[],[f6307,f6027]) ).
fof(f6585,plain,
! [X0,X4] : inverse(multiply(X0,inverse(X4))) = inverse(inverse(multiply(X4,inverse(inverse(inverse(X0)))))),
inference(forward_demodulation,[],[f6356,f5867]) ).
fof(f6602,plain,
! [X0,X1] : multiply(X1,X0) = inverse(inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f6391,f5594]) ).
fof(f6652,plain,
! [X2,X0] : inverse(multiply(multiply(inverse(X0),sF0),inverse(inverse(inverse(multiply(inverse(X2),sF0)))))) = multiply(multiply(inverse(X2),inverse(sF1)),inverse(inverse(X0))),
inference(forward_demodulation,[],[f6435,f6415]) ).
fof(f6656,plain,
! [X0] : inverse(multiply(inverse(multiply(b2,X0)),b2)) = X0,
inference(backward_demodulation,[],[f5594,f6437]) ).
fof(f6733,plain,
a2 = inverse(multiply(inverse(sF2),sF1)),
inference(backward_demodulation,[],[f5575,f6499]) ).
fof(f6774,plain,
! [X2,X0,X1] : inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(X1,X2)))) = multiply(X1,inverse(inverse(X0))),
inference(backward_demodulation,[],[f5867,f6541]) ).
fof(f6809,plain,
! [X0,X4] : inverse(multiply(X0,inverse(X4))) = multiply(X4,inverse(inverse(inverse(X0)))),
inference(forward_demodulation,[],[f6585,f6541]) ).
fof(f6820,plain,
! [X0,X1] : multiply(inverse(X1),X0) = inverse(multiply(inverse(X0),X1)),
inference(backward_demodulation,[],[f6499,f6602]) ).
fof(f6849,plain,
! [X2,X0] : multiply(multiply(inverse(X2),inverse(sF1)),inverse(inverse(X0))) = inverse(multiply(multiply(inverse(X0),sF0),inverse(multiply(inverse(X2),sF0)))),
inference(forward_demodulation,[],[f6652,f5903]) ).
fof(f6850,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f6656,f6145]) ).
fof(f6970,plain,
! [X0,X4] : inverse(multiply(X0,inverse(X4))) = multiply(X4,inverse(X0)),
inference(forward_demodulation,[],[f6809,f5903]) ).
fof(f7029,plain,
! [X0,X1] : multiply(sF0,multiply(b2,X1)) = multiply(inverse(inverse(X0)),multiply(multiply(multiply(multiply(inverse(X0),sF1),a2),inverse(sF2)),X1)),
inference(backward_demodulation,[],[f5466,f6820]) ).
fof(f7030,plain,
a2 = multiply(inverse(sF1),sF2),
inference(backward_demodulation,[],[f6733,f6820]) ).
fof(f7048,plain,
! [X2,X0] : multiply(inverse(X2),inverse(inverse(X0))) = multiply(multiply(inverse(X2),inverse(sF1)),inverse(inverse(X0))),
inference(forward_demodulation,[],[f6849,f6774]) ).
fof(f7050,plain,
! [X0] : multiply(sF0,multiply(b2,X0)) = X0,
inference(backward_demodulation,[],[f5353,f6850]) ).
fof(f7055,plain,
! [X2,X0] : multiply(multiply(multiply(inverse(X0),a2),inverse(sF2)),inverse(inverse(X2))) = multiply(inverse(multiply(sF1,X0)),inverse(inverse(X2))),
inference(backward_demodulation,[],[f6331,f6850]) ).
fof(f7060,plain,
! [X2,X0,X1] : multiply(inverse(X2),X1) = inverse(multiply(multiply(inverse(X1),multiply(X2,X0)),inverse(multiply(sF0,multiply(b2,X0))))),
inference(backward_demodulation,[],[f6404,f6850]) ).
fof(f7086,plain,
sF1 = inverse(sF1),
inference(backward_demodulation,[],[f6415,f6850]) ).
fof(f7213,plain,
! [X0,X1] : multiply(sF0,multiply(b2,X1)) = multiply(X0,multiply(multiply(multiply(multiply(inverse(X0),sF1),a2),inverse(sF2)),X1)),
inference(forward_demodulation,[],[f7029,f6850]) ).
fof(f7271,plain,
! [X2,X0] : multiply(inverse(X2),X0) = multiply(multiply(inverse(X2),inverse(sF1)),X0),
inference(forward_demodulation,[],[f7048,f6850]) ).
fof(f7273,plain,
a2 = multiply(sF1,sF2),
inference(backward_demodulation,[],[f7030,f7086]) ).
fof(f7284,plain,
! [X2,X0,X1] : multiply(inverse(X2),X1) = multiply(multiply(sF0,multiply(b2,X0)),inverse(multiply(inverse(X1),multiply(X2,X0)))),
inference(forward_demodulation,[],[f7060,f6970]) ).
fof(f7288,plain,
! [X2,X0] : multiply(multiply(multiply(inverse(X0),a2),inverse(sF2)),X2) = multiply(inverse(multiply(sF1,X0)),X2),
inference(forward_demodulation,[],[f7055,f6850]) ).
fof(f7408,plain,
! [X0,X1] : multiply(X0,multiply(multiply(multiply(multiply(inverse(X0),sF1),a2),inverse(sF2)),X1)) = X1,
inference(forward_demodulation,[],[f7213,f7050]) ).
fof(f7454,plain,
! [X2,X0] : multiply(inverse(X2),X0) = multiply(multiply(inverse(X2),sF1),X0),
inference(forward_demodulation,[],[f7271,f7086]) ).
fof(f7464,plain,
! [X2,X0,X1] : multiply(inverse(X2),X1) = multiply(multiply(sF0,multiply(b2,X0)),multiply(inverse(multiply(X2,X0)),X1)),
inference(forward_demodulation,[],[f7284,f6820]) ).
fof(f7598,plain,
! [X0,X1] : multiply(X0,multiply(multiply(multiply(inverse(X0),a2),inverse(sF2)),X1)) = X1,
inference(backward_demodulation,[],[f7408,f7454]) ).
fof(f7606,plain,
! [X2,X0,X1] : multiply(inverse(X2),X1) = multiply(X0,multiply(inverse(multiply(X2,X0)),X1)),
inference(forward_demodulation,[],[f7464,f7050]) ).
fof(f7722,plain,
! [X0,X1] : multiply(X0,multiply(inverse(multiply(sF1,X0)),X1)) = X1,
inference(forward_demodulation,[],[f7598,f7288]) ).
fof(f7814,plain,
! [X1] : multiply(inverse(sF1),X1) = X1,
inference(forward_demodulation,[],[f7722,f7606]) ).
fof(f7893,plain,
! [X1] : multiply(sF1,X1) = X1,
inference(forward_demodulation,[],[f7814,f7086]) ).
fof(f7959,plain,
a2 = sF2,
inference(backward_demodulation,[],[f7273,f7893]) ).
fof(f7998,plain,
$false,
inference(forward_subsumption_resolution,[],[f7959,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP428-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:04:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.42 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
% 11.34/2.45 % (561994)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.34/2.45 % (562003)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3327715019:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 11.34/2.45 % (561999)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1814881650:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 11.34/2.45 % (562002)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1350907798:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 11.34/2.45 % (562001)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4225065976:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 11.34/2.45 % (562000)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3581970327:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 11.34/2.45 % (562005)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1110931618:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 11.34/2.45 % (562004)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4044642738:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 11.34/2.45 % (562003)Instruction limit reached!
% 11.34/2.45 % (562003)------------------------------
% 11.34/2.45 % (562003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.34/2.45 % (562003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.34/2.45 % (562003)CaDiCaL version: 2.1.3
% 11.34/2.45 % (562003)Termination reason: Instruction limit
% 11.34/2.45 % (562003)Termination phase: Saturation
% 11.34/2.45 % (562003)Time elapsed: 0.052 s
% 11.34/2.45 % (562003)Peak memory usage: 89 MB
% 11.34/2.45 % (562003)Instructions burned: 181 (million)
% 11.34/2.45 % (562002)Instruction limit reached!
% 11.34/2.45 % (562002)------------------------------
% 11.34/2.45 % (562002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.34/2.45 % (562002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.34/2.45 % (562002)CaDiCaL version: 2.1.3
% 11.34/2.45 % (562002)Termination reason: Instruction limit
% 11.34/2.45 % (562002)Termination phase: Saturation
% 11.34/2.45 % (562002)Time elapsed: 0.079 s
% 11.34/2.45 % (562002)Peak memory usage: 88 MB
% 11.34/2.45 % (562002)Instructions burned: 137 (million)
% 11.34/2.45 % (562013)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=211433577:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 11.34/2.45 % (562004)Instruction limit reached!
% 11.34/2.45 % (562004)------------------------------
% 11.34/2.45 % (562004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.34/2.45 % (562004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.34/2.45 % (562004)CaDiCaL version: 2.1.3
% 11.34/2.45 % (562004)Termination reason: Instruction limit
% 11.34/2.45 % (562004)Termination phase: Saturation
% 11.34/2.45 % (562004)Time elapsed: 0.155 s
% 11.34/2.45 % (562004)Peak memory usage: 91 MB
% 11.34/2.45 % (562004)Instructions burned: 257 (million)
% 11.34/2.45 % (562014)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=557437041:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 11.34/2.45 % (562016)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4269784143:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 11.34/2.45 % (562016)Instruction limit reached!
% 11.34/2.45 % (562016)------------------------------
% 11.34/2.45 % (562016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.34/2.45 % (562016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.34/2.45 % (562016)CaDiCaL version: 2.1.3
% 11.34/2.45 % (562016)Termination reason: Instruction limit
% 11.34/2.45 % (562016)Termination phase: Saturation
% 11.34/2.45 % (562016)Time elapsed: 0.130 s
% 11.34/2.45 % (562016)Peak memory usage: 91 MB
% 11.34/2.45 % (562016)Instructions burned: 215 (million)
% 11.34/2.45 % (562019)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3015264654:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 11.34/2.45 % (562005)Instruction limit reached!
% 11.34/2.45 % (562005)------------------------------
% 11.34/2.45 % (562005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.34/2.45 % (562005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.34/2.45 % (562005)CaDiCaL version: 2.1.3
% 11.34/2.45 % (562005)Termination reason: Instruction limit
% 11.34/2.45 % (562005)Termination phase: Saturation
% 11.34/2.45 % (562005)Time elapsed: 0.617 s
% 11.34/2.45 % (562005)Peak memory usage: 97 MB
% 11.34/2.45 % (562005)Instructions burned: 1188 (million)
% 11.34/2.45 % (562019)Instruction limit reached!
% 11.34/2.45 % (562019)------------------------------
% 11.34/2.45 % (562019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.34/2.45 % (562019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.34/2.45 % (562019)CaDiCaL version: 2.1.3
% 11.34/2.45 % (562019)Termination reason: Instruction limit
% 11.34/2.45 % (562019)Termination phase: Saturation
% 11.34/2.45 % (562019)Time elapsed: 0.169 s
% 11.34/2.45 % (562019)Peak memory usage: 92 MB
% 11.34/2.45 % (562019)Instructions burned: 319 (million)
% 11.34/2.45 % (562021)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=269031645:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 11.34/2.45 % (562013)Instruction limit reached!
% 11.34/2.45 % (562013)------------------------------
% 11.34/2.45 % (562013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.34/2.45 % (562013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.34/2.45 % (562013)CaDiCaL version: 2.1.3
% 11.34/2.45 % (562013)Termination reason: Instruction limit
% 11.34/2.45 % (562013)Termination phase: Saturation
% 11.34/2.45 % (562013)Time elapsed: 0.664 s
% 11.34/2.45 % (562013)Peak memory usage: 140 MB
% 11.34/2.45 % (562013)Instructions burned: 2054 (million)
% 11.34/2.45 % (562022)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2489025734:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 11.34/2.45 % (562024)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=361621428:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 11.34/2.45 % (562001)First to succeed.
% 11.34/2.45 % (562001)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-561994"
% 11.34/2.45 % (562001)Refutation found. Thanks to Tanya!
% 11.34/2.45 % SZS status Unsatisfiable for theBenchmark
% 11.34/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 11.89/2.65 % (562001)------------------------------
% 11.89/2.65 % (562001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.65 % (562001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.65 % (562001)CaDiCaL version: 2.1.3
% 11.89/2.65 % (562001)Termination reason: Refutation
% 11.89/2.65 % (562001)Time elapsed: 1.279 s
% 11.89/2.65 % (562001)Peak memory usage: 141 MB
% 11.89/2.65 % (562001)Instructions burned: 2884 (million)
% 11.89/2.65 % (562001)------------------------------
% 11.89/2.65 % (562001)------------------------------
% 11.89/2.65 % (561994)Success in time 1.593 s
% 11.89/2.65 % Vampire exiting
%------------------------------------------------------------------------------