TSTP Solution File: GRP057-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP057-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:53:08 EDT 2024
% Result : Unsatisfiable 8.60s 1.58s
% Output : Refutation 8.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 2
% Syntax : Number of formulae : 189 ( 186 unt; 0 def)
% Number of atoms : 194 ( 193 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 13 ( 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 : 614 ( 614 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67795,plain,
$false,
inference(trivial_inequality_removal,[],[f67638]) ).
fof(f67638,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f19386,f35252]) ).
fof(f35252,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f35251,f14034]) ).
fof(f14034,plain,
! [X2,X1] : multiply(inverse(X2),multiply(X2,X1)) = X1,
inference(forward_demodulation,[],[f14033,f13289]) ).
fof(f13289,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f13288,f13095]) ).
fof(f13095,plain,
! [X2,X1] : inverse(inverse(X2)) = multiply(X2,inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),
inference(forward_demodulation,[],[f13094,f11090]) ).
fof(f11090,plain,
! [X3,X1,X4] : inverse(inverse(X3)) = multiply(X3,multiply(inverse(inverse(X1)),multiply(inverse(X4),multiply(X4,inverse(X1))))),
inference(forward_demodulation,[],[f10844,f10978]) ).
fof(f10978,plain,
! [X2,X0] : inverse(inverse(X0)) = multiply(X0,multiply(X2,inverse(X2))),
inference(forward_demodulation,[],[f10714,f67]) ).
fof(f67,plain,
! [X2,X6,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(X2,X5)))),X6),inverse(multiply(X4,X6)))) = X5,
inference(superposition,[],[f27,f27]) ).
fof(f27,plain,
! [X2,X0,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X0)),multiply(inverse(X0),X2)))),X5),inverse(multiply(X4,X5)))) = X2,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [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(f3,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X0)),X2))),X3),inverse(multiply(X1,X3)))) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f10714,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(X0)) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(X1,multiply(X2,inverse(X2)))))),X4),inverse(multiply(X3,X4))))),
inference(superposition,[],[f1,f10112]) ).
fof(f10112,plain,
! [X2,X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X2),multiply(X2,multiply(X1,inverse(X1)))),
inference(superposition,[],[f4334,f10022]) ).
fof(f10022,plain,
! [X3,X1] : multiply(X3,inverse(X3)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f9988,f9969]) ).
fof(f9969,plain,
! [X2,X3,X0,X1] : inverse(X1) = inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),multiply(inverse(inverse(inverse(X2))),X2))),X3),inverse(multiply(inverse(X1),X3)))),
inference(superposition,[],[f316,f5777]) ).
fof(f5777,plain,
! [X2,X0,X1] : multiply(inverse(inverse(inverse(X2))),X2) = multiply(inverse(inverse(inverse(multiply(X1,inverse(X1))))),multiply(X0,inverse(X0))),
inference(superposition,[],[f5123,f5402]) ).
fof(f5402,plain,
! [X2,X4] : inverse(multiply(X2,inverse(X2))) = inverse(multiply(X4,inverse(X4))),
inference(superposition,[],[f4388,f1]) ).
fof(f4388,plain,
! [X2,X0,X1] : inverse(multiply(X1,inverse(X1))) = inverse(multiply(multiply(inverse(X0),X2),inverse(multiply(inverse(X0),X2)))),
inference(superposition,[],[f67,f4334]) ).
fof(f5123,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),X0) = multiply(inverse(inverse(inverse(X1))),X1),
inference(forward_demodulation,[],[f5072,f4334]) ).
fof(f5072,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(inverse(X0))),X0) = multiply(inverse(inverse(inverse(X1))),multiply(inverse(X3),multiply(X3,multiply(X1,inverse(multiply(X2,inverse(X2))))))),
inference(superposition,[],[f103,f4335]) ).
fof(f4335,plain,
! [X3,X4,X5] : multiply(inverse(inverse(X4)),multiply(inverse(X5),multiply(X5,inverse(multiply(X3,inverse(X3)))))) = X4,
inference(forward_demodulation,[],[f4308,f4016]) ).
fof(f4016,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X3)),multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1)))),multiply(X0,X1))) = X3,
inference(superposition,[],[f3981,f98]) ).
fof(f98,plain,
! [X2,X4,X5] : multiply(inverse(X5),multiply(X5,X4)) = multiply(inverse(X2),multiply(X2,X4)),
inference(superposition,[],[f83,f27]) ).
fof(f83,plain,
! [X2,X1,X4] : multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)) = multiply(inverse(X4),multiply(X4,X2)),
inference(superposition,[],[f29,f27]) ).
fof(f29,plain,
! [X2,X1,X4,X5] : multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f3981,plain,
! [X2,X4,X5] : multiply(inverse(inverse(X2)),multiply(inverse(multiply(inverse(X4),multiply(X4,X5))),X5)) = X2,
inference(forward_demodulation,[],[f3879,f29]) ).
fof(f3879,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(inverse(multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))))),multiply(inverse(multiply(inverse(X4),multiply(X4,X5))),X5)) = X2,
inference(superposition,[],[f29,f3638]) ).
fof(f3638,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1) = multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3),
inference(superposition,[],[f191,f3557]) ).
fof(f3557,plain,
! [X3,X0,X1] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,inverse(X3)))) = X1,
inference(forward_demodulation,[],[f3477,f29]) ).
fof(f3477,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X5),multiply(X5,inverse(multiply(multiply(inverse(multiply(inverse(X2),X3)),X4),inverse(multiply(X2,X4)))))),inverse(X3)))) = X1,
inference(superposition,[],[f443,f29]) ).
fof(f443,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(multiply(inverse(X3),multiply(X3,X2)),inverse(multiply(inverse(X4),multiply(multiply(inverse(X0),multiply(X0,X1)),X2)))))) = X1,
inference(superposition,[],[f119,f98]) ).
fof(f119,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X1))),X3),inverse(multiply(inverse(X0),X3))))) = X1,
inference(superposition,[],[f1,f83]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,X1) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X1))),X4),inverse(multiply(X0,X4)))))),
inference(superposition,[],[f29,f98]) ).
fof(f4308,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(inverse(X4)),multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2)))),multiply(X0,X2))) = multiply(inverse(inverse(X4)),multiply(inverse(X5),multiply(X5,inverse(multiply(X3,inverse(X3)))))),
inference(superposition,[],[f248,f3584]) ).
fof(f3584,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1))),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f3557,f98]) ).
fof(f248,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1))) = multiply(inverse(inverse(X0)),multiply(inverse(X3),multiply(X3,X1))),
inference(superposition,[],[f161,f98]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(X0,X1))) = multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1))),
inference(superposition,[],[f98,f98]) ).
fof(f103,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(inverse(X0),X1))) = multiply(inverse(inverse(inverse(X0))),multiply(inverse(X2),multiply(X2,X1))),
inference(superposition,[],[f83,f83]) ).
fof(f316,plain,
! [X2,X3,X0,X4] : inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,multiply(X0,X2)))),X4),inverse(multiply(inverse(X0),X4)))) = X2,
inference(superposition,[],[f27,f161]) ).
fof(f9988,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(X1)) = multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),multiply(inverse(inverse(inverse(X2))),X2))),X4),inverse(multiply(inverse(X3),X4))))),
inference(superposition,[],[f119,f5777]) ).
fof(f4334,plain,
! [X3,X4,X5] : multiply(inverse(X4),multiply(X4,multiply(X5,inverse(multiply(X3,inverse(X3)))))) = X5,
inference(forward_demodulation,[],[f4303,f4016]) ).
fof(f4303,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X4),multiply(X4,multiply(X5,inverse(multiply(X3,inverse(X3)))))) = multiply(inverse(inverse(X5)),multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2)))),multiply(X0,X2))),
inference(superposition,[],[f161,f3584]) ).
fof(f10844,plain,
! [X2,X3,X1,X4] : multiply(X3,multiply(inverse(inverse(X1)),multiply(inverse(X4),multiply(X4,inverse(X1))))) = multiply(X3,multiply(X2,inverse(X2))),
inference(superposition,[],[f1389,f10112]) ).
fof(f1389,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(inverse(X4),multiply(X4,multiply(X0,X1)))) = multiply(X3,multiply(inverse(inverse(X0)),multiply(inverse(X2),multiply(X2,X1)))),
inference(superposition,[],[f1187,f98]) ).
fof(f1187,plain,
! [X2,X6,X4,X5] : multiply(X2,multiply(inverse(X4),multiply(X4,X5))) = multiply(X2,multiply(inverse(X6),multiply(X6,X5))),
inference(superposition,[],[f973,f27]) ).
fof(f973,plain,
! [X2,X6,X4,X5] : multiply(inverse(X2),multiply(inverse(X6),multiply(X6,X5))) = multiply(inverse(X2),multiply(inverse(X4),multiply(X4,X5))),
inference(superposition,[],[f248,f27]) ).
fof(f13094,plain,
! [X2,X0,X1,X4] : multiply(X2,multiply(inverse(inverse(X0)),multiply(inverse(X4),multiply(X4,inverse(X0))))) = multiply(X2,inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),
inference(forward_demodulation,[],[f12812,f11096]) ).
fof(f11096,plain,
! [X3,X4] : inverse(inverse(inverse(inverse(X4)))) = multiply(inverse(X3),multiply(X3,inverse(inverse(X4)))),
inference(forward_demodulation,[],[f11095,f10978]) ).
fof(f11095,plain,
! [X3,X1,X4] : inverse(inverse(inverse(inverse(X4)))) = multiply(inverse(X3),multiply(X3,multiply(X4,multiply(X1,inverse(X1))))),
inference(forward_demodulation,[],[f10856,f10978]) ).
fof(f10856,plain,
! [X2,X3,X1,X4] : multiply(inverse(X3),multiply(X3,multiply(X4,multiply(X1,inverse(X1))))) = multiply(inverse(inverse(X4)),multiply(X2,inverse(X2))),
inference(superposition,[],[f161,f10112]) ).
fof(f12812,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(inverse(inverse(X0)),multiply(inverse(X4),multiply(X4,inverse(X0))))) = multiply(X2,multiply(inverse(X3),multiply(X3,inverse(inverse(multiply(X1,inverse(X1))))))),
inference(superposition,[],[f1389,f11858]) ).
fof(f11858,plain,
! [X2,X1] : multiply(X2,inverse(X2)) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(superposition,[],[f11522,f10112]) ).
fof(f11522,plain,
! [X2,X4] : inverse(inverse(X2)) = multiply(inverse(X4),multiply(X4,X2)),
inference(superposition,[],[f11253,f27]) ).
fof(f11253,plain,
! [X0,X1] : inverse(inverse(inverse(X0))) = multiply(inverse(X1),multiply(X1,inverse(X0))),
inference(superposition,[],[f10978,f98]) ).
fof(f13288,plain,
! [X2,X0] : inverse(inverse(multiply(X2,inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))))) = X2,
inference(forward_demodulation,[],[f12995,f10978]) ).
fof(f12995,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1))))))) = X2,
inference(superposition,[],[f11856,f11858]) ).
fof(f11856,plain,
! [X2,X1] : inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(superposition,[],[f11522,f4334]) ).
fof(f14033,plain,
! [X2,X1] : multiply(inverse(X2),multiply(X2,inverse(inverse(inverse(inverse(X1)))))) = X1,
inference(forward_demodulation,[],[f14032,f10978]) ).
fof(f14032,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X2,inverse(multiply(inverse(X1),multiply(X0,inverse(X0)))))) = X1,
inference(forward_demodulation,[],[f13837,f13865]) ).
fof(f13865,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),X0) = X0,
inference(forward_demodulation,[],[f13864,f13289]) ).
fof(f13864,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(inverse(inverse(inverse(X0))))) = X0,
inference(forward_demodulation,[],[f13688,f13228]) ).
fof(f13228,plain,
! [X2,X3] : inverse(inverse(X2)) = multiply(X2,inverse(multiply(X3,inverse(X3)))),
inference(forward_demodulation,[],[f13227,f13095]) ).
fof(f13227,plain,
! [X2,X3,X0] : multiply(X2,inverse(multiply(X3,inverse(X3)))) = multiply(X2,inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),
inference(forward_demodulation,[],[f12938,f10978]) ).
fof(f12938,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(X3,inverse(X3)))) = multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1))))),
inference(superposition,[],[f4328,f11858]) ).
fof(f4328,plain,
! [X2,X3,X4] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(X3,inverse(multiply(X4,inverse(X4)))),
inference(forward_demodulation,[],[f4205,f3981]) ).
fof(f4205,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(inverse(X3)),multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1)),inverse(multiply(X4,inverse(X4)))),
inference(superposition,[],[f3584,f3557]) ).
fof(f13688,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X1))),inverse(multiply(inverse(X0),inverse(multiply(X2,inverse(X2)))))) = X0,
inference(superposition,[],[f13029,f4328]) ).
fof(f13029,plain,
! [X3,X0] : multiply(X0,inverse(multiply(inverse(X3),X0))) = X3,
inference(forward_demodulation,[],[f13028,f11275]) ).
fof(f11275,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(inverse(inverse(multiply(X0,inverse(X0)))))) = X1,
inference(superposition,[],[f4335,f10978]) ).
fof(f13028,plain,
! [X3,X0,X1] : multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(X3),X0))),inverse(inverse(inverse(multiply(X1,inverse(X1)))))))) = X3,
inference(forward_demodulation,[],[f13027,f11808]) ).
fof(f11808,plain,
! [X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(inverse(inverse(X0)),inverse(inverse(X1))),
inference(superposition,[],[f11522,f11522]) ).
fof(f13027,plain,
! [X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(inverse(inverse(X3))),inverse(inverse(X0))),inverse(inverse(inverse(multiply(X1,inverse(X1)))))))) = X3,
inference(forward_demodulation,[],[f12720,f11522]) ).
fof(f12720,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),inverse(inverse(X0))),inverse(inverse(inverse(multiply(X1,inverse(X1)))))))) = X3,
inference(superposition,[],[f119,f11858]) ).
fof(f13837,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,inverse(multiply(inverse(X1),multiply(X0,inverse(X0)))))) = multiply(inverse(multiply(X3,inverse(X3))),X1),
inference(superposition,[],[f5710,f13029]) ).
fof(f5710,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,X3)) = multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X0,inverse(X0)),X3)),
inference(superposition,[],[f98,f5402]) ).
fof(f35251,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X3,multiply(X0,multiply(X1,X2)))) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f35250,f14083]) ).
fof(f14083,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(superposition,[],[f13879,f13879]) ).
fof(f13879,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[],[f13705,f13289]) ).
fof(f13705,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(inverse(inverse(inverse(X1))))) = X0,
inference(superposition,[],[f13029,f11253]) ).
fof(f35250,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,inverse(inverse(multiply(X1,X2)))))),
inference(forward_demodulation,[],[f35249,f14293]) ).
fof(f14293,plain,
! [X3,X1] : multiply(inverse(inverse(X3)),X1) = inverse(inverse(multiply(X3,X1))),
inference(forward_demodulation,[],[f14292,f11522]) ).
fof(f14292,plain,
! [X2,X3,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,X1))) = multiply(inverse(inverse(X3)),X1),
inference(forward_demodulation,[],[f14291,f14083]) ).
fof(f14291,plain,
! [X2,X3,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,X1))) = multiply(inverse(inverse(X3)),inverse(inverse(X1))),
inference(forward_demodulation,[],[f14117,f14280]) ).
fof(f14280,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(inverse(multiply(X0,inverse(X1))),X0),
inference(forward_demodulation,[],[f14110,f11522]) ).
fof(f14110,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X2)),multiply(inverse(X2),X1)) = multiply(inverse(multiply(X0,inverse(X1))),X0),
inference(superposition,[],[f83,f13879]) ).
fof(f14117,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,multiply(X3,X1))) = multiply(inverse(inverse(X3)),multiply(inverse(multiply(X0,inverse(X1))),X0)),
inference(superposition,[],[f161,f13879]) ).
fof(f35249,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,multiply(inverse(inverse(X1)),X2)))),
inference(forward_demodulation,[],[f35248,f14083]) ).
fof(f35248,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,inverse(inverse(multiply(inverse(inverse(X1)),X2)))))),
inference(forward_demodulation,[],[f35247,f14293]) ).
fof(f35247,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,multiply(inverse(inverse(inverse(inverse(X1)))),X2)))),
inference(forward_demodulation,[],[f35246,f34144]) ).
fof(f34144,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = multiply(X0,multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(forward_demodulation,[],[f34143,f30938]) ).
fof(f30938,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = multiply(inverse(multiply(X0,X1)),X2),
inference(forward_demodulation,[],[f30937,f15318]) ).
fof(f15318,plain,
! [X2,X3] : multiply(X2,X3) = inverse(multiply(inverse(X3),inverse(X2))),
inference(forward_demodulation,[],[f15317,f15253]) ).
fof(f15253,plain,
! [X2,X0] : multiply(inverse(X0),X2) = inverse(multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f15252,f14083]) ).
fof(f15252,plain,
! [X2,X0] : inverse(multiply(inverse(X2),X0)) = multiply(inverse(X0),inverse(inverse(X2))),
inference(forward_demodulation,[],[f15251,f11522]) ).
fof(f15251,plain,
! [X2,X3,X0] : multiply(inverse(X0),multiply(inverse(X3),multiply(X3,X2))) = inverse(multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f15044,f14017]) ).
fof(f14017,plain,
! [X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X0),X1))) = inverse(multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f14016,f13289]) ).
fof(f14016,plain,
! [X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X0),X1))) = inverse(inverse(inverse(inverse(inverse(multiply(inverse(X1),X0)))))),
inference(forward_demodulation,[],[f13819,f11153]) ).
fof(f11153,plain,
! [X2,X3,X0] : inverse(inverse(inverse(inverse(inverse(X0))))) = multiply(inverse(X2),multiply(X2,multiply(inverse(X3),multiply(X3,inverse(X0))))),
inference(forward_demodulation,[],[f10922,f10978]) ).
fof(f10922,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X2,multiply(inverse(X3),multiply(X3,inverse(X0))))) = multiply(inverse(inverse(inverse(X0))),multiply(X1,inverse(X1))),
inference(superposition,[],[f1554,f10112]) ).
fof(f1554,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X1),multiply(X1,X2)))) = multiply(inverse(X0),multiply(X0,multiply(inverse(X3),multiply(X3,X2)))),
inference(superposition,[],[f98,f1187]) ).
fof(f13819,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),multiply(X4,multiply(inverse(X0),X1))) = multiply(inverse(X2),multiply(X2,multiply(inverse(X3),multiply(X3,inverse(multiply(inverse(X1),X0)))))),
inference(superposition,[],[f1554,f13029]) ).
fof(f15044,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(inverse(X3),multiply(X3,X2))) = multiply(inverse(X1),multiply(X1,multiply(inverse(X0),X2))),
inference(superposition,[],[f103,f14709]) ).
fof(f14709,plain,
! [X4] : inverse(inverse(X4)) = X4,
inference(forward_demodulation,[],[f14708,f13289]) ).
fof(f14708,plain,
! [X4] : inverse(inverse(inverse(inverse(inverse(inverse(X4)))))) = X4,
inference(forward_demodulation,[],[f14707,f13840]) ).
fof(f13840,plain,
! [X2,X4] : inverse(inverse(inverse(X2))) = multiply(X4,inverse(multiply(X2,X4))),
inference(forward_demodulation,[],[f13839,f13482]) ).
fof(f13482,plain,
! [X2,X3,X0] : inverse(inverse(inverse(X2))) = multiply(multiply(inverse(multiply(inverse(X0),inverse(inverse(X2)))),X3),inverse(multiply(X0,X3))),
inference(forward_demodulation,[],[f13291,f11522]) ).
fof(f13291,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),X3),inverse(multiply(X0,X3))) = inverse(inverse(inverse(X2))),
inference(superposition,[],[f13289,f27]) ).
fof(f13839,plain,
! [X2,X3,X0,X4] : multiply(multiply(inverse(multiply(inverse(X0),inverse(inverse(X2)))),X3),inverse(multiply(X0,X3))) = multiply(X4,inverse(multiply(X2,X4))),
inference(forward_demodulation,[],[f13659,f11522]) ).
fof(f13659,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),X3),inverse(multiply(X0,X3))) = multiply(X4,inverse(multiply(X2,X4))),
inference(superposition,[],[f13029,f27]) ).
fof(f14707,plain,
! [X2,X4] : inverse(inverse(inverse(multiply(X2,inverse(multiply(X4,X2)))))) = X4,
inference(forward_demodulation,[],[f14706,f14293]) ).
fof(f14706,plain,
! [X2,X4] : inverse(multiply(inverse(inverse(X2)),inverse(multiply(X4,X2)))) = X4,
inference(forward_demodulation,[],[f14705,f11522]) ).
fof(f14705,plain,
! [X2,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X4,X2)))) = X4,
inference(forward_demodulation,[],[f14704,f14083]) ).
fof(f14704,plain,
! [X2,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(inverse(inverse(multiply(X4,X2)))))) = X4,
inference(forward_demodulation,[],[f14703,f14293]) ).
fof(f14703,plain,
! [X2,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(inverse(X4)),X2)))) = X4,
inference(forward_demodulation,[],[f14702,f11522]) ).
fof(f14702,plain,
! [X2,X3,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),X2)))) = X4,
inference(forward_demodulation,[],[f14485,f13865]) ).
fof(f14485,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(inverse(X3),multiply(X3,X4)),X2))))) = X4,
inference(superposition,[],[f13940,f443]) ).
fof(f13940,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(forward_demodulation,[],[f13740,f13289]) ).
fof(f13740,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),inverse(inverse(inverse(inverse(X0))))) = X0,
inference(superposition,[],[f13029,f10978]) ).
fof(f15317,plain,
! [X2,X3] : multiply(X2,X3) = inverse(inverse(multiply(inverse(inverse(X2)),X3))),
inference(forward_demodulation,[],[f15316,f13481]) ).
fof(f13481,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3))) = inverse(multiply(inverse(inverse(X1)),X2)),
inference(forward_demodulation,[],[f13290,f11707]) ).
fof(f11707,plain,
! [X2,X1,X4,X5] : multiply(inverse(inverse(X1)),X2) = inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(forward_demodulation,[],[f11521,f51]) ).
fof(f51,plain,
! [X2,X1,X6,X4,X5] : multiply(inverse(inverse(X1)),X2) = multiply(inverse(X6),multiply(X6,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(superposition,[],[f29,f3]) ).
fof(f11521,plain,
! [X2,X1,X6,X4,X5] : multiply(inverse(X6),multiply(X6,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))) = inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))))),
inference(superposition,[],[f11253,f3]) ).
fof(f13290,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3))) = inverse(inverse(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))))),
inference(superposition,[],[f13289,f3]) ).
fof(f15316,plain,
! [X2,X3,X1,X4] : multiply(X2,X3) = inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),X3))),X4),inverse(multiply(X1,X4)))),
inference(forward_demodulation,[],[f15089,f14408]) ).
fof(f14408,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(multiply(X1,X2)),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(forward_demodulation,[],[f14162,f13036]) ).
fof(f13036,plain,
! [X3,X0] : inverse(multiply(inverse(multiply(X0,X3)),X0)) = X3,
inference(forward_demodulation,[],[f13035,f11275]) ).
fof(f13035,plain,
! [X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X3)),X0))),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(forward_demodulation,[],[f13034,f11808]) ).
fof(f13034,plain,
! [X3,X0,X1] : inverse(multiply(multiply(inverse(inverse(inverse(multiply(X0,X3)))),inverse(inverse(X0))),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(forward_demodulation,[],[f12724,f11522]) ).
fof(f12724,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,multiply(X0,X3)))),inverse(inverse(X0))),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X3,
inference(superposition,[],[f316,f11858]) ).
fof(f14162,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),X0)),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(superposition,[],[f316,f13879]) ).
fof(f15089,plain,
! [X2,X3,X0,X1,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)),X5),inverse(multiply(inverse(X0),X5))))),
inference(superposition,[],[f3,f14709]) ).
fof(f30937,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X2)) = inverse(multiply(inverse(X2),inverse(inverse(multiply(X0,X1))))),
inference(forward_demodulation,[],[f30936,f15253]) ).
fof(f30936,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),inverse(inverse(multiply(X0,X1))))) = inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)),
inference(forward_demodulation,[],[f30935,f15253]) ).
fof(f30935,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)) = inverse(inverse(multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))),
inference(forward_demodulation,[],[f30934,f29257]) ).
fof(f29257,plain,
! [X3,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),multiply(inverse(X0),X3))) = X3,
inference(forward_demodulation,[],[f29256,f14083]) ).
fof(f29256,plain,
! [X3,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),multiply(inverse(X0),inverse(inverse(X3))))) = X3,
inference(forward_demodulation,[],[f29255,f11522]) ).
fof(f29255,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),multiply(inverse(X0),multiply(inverse(X2),multiply(X2,X3))))) = X3,
inference(forward_demodulation,[],[f28758,f24194]) ).
fof(f24194,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(multiply(inverse(X2),X1),inverse(X0))),
inference(forward_demodulation,[],[f24193,f14420]) ).
fof(f14420,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(forward_demodulation,[],[f14419,f13940]) ).
fof(f14419,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,multiply(multiply(X2,inverse(X2)),X1))),X0),
inference(forward_demodulation,[],[f14418,f14083]) ).
fof(f14418,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,multiply(multiply(X2,inverse(X2)),inverse(inverse(X1))))),X0),
inference(forward_demodulation,[],[f14167,f13952]) ).
fof(f13952,plain,
! [X0,X1] : multiply(X0,inverse(inverse(X1))) = inverse(multiply(inverse(X1),inverse(X0))),
inference(forward_demodulation,[],[f13951,f13494]) ).
fof(f13494,plain,
! [X2,X0] : inverse(inverse(multiply(inverse(inverse(X0)),X2))) = multiply(X0,inverse(inverse(X2))),
inference(forward_demodulation,[],[f13493,f11522]) ).
fof(f13493,plain,
! [X2,X3,X0] : multiply(X0,multiply(inverse(X3),multiply(X3,X2))) = inverse(inverse(multiply(inverse(inverse(X0)),X2))),
inference(forward_demodulation,[],[f13315,f11522]) ).
fof(f13315,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X3),multiply(X3,X2))) = multiply(inverse(X1),multiply(X1,multiply(inverse(inverse(X0)),X2))),
inference(superposition,[],[f103,f13289]) ).
fof(f13951,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(inverse(X0)),X1))) = inverse(multiply(inverse(X1),inverse(X0))),
inference(forward_demodulation,[],[f13757,f13481]) ).
fof(f13757,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X1),inverse(X0))) = inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(inverse(X0)),X1))),X3),inverse(multiply(X2,X3)))),
inference(superposition,[],[f27,f13029]) ).
fof(f14167,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,inverse(X2))))))),X0),
inference(superposition,[],[f4333,f13879]) ).
fof(f4333,plain,
! [X3,X4,X5] : inverse(X5) = multiply(inverse(X4),multiply(X4,multiply(inverse(X5),inverse(multiply(X3,inverse(X3)))))),
inference(forward_demodulation,[],[f4300,f4016]) ).
fof(f4300,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X4),multiply(X4,multiply(inverse(X5),inverse(multiply(X3,inverse(X3)))))) = multiply(inverse(inverse(inverse(X5))),multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2)))),multiply(X0,X2))),
inference(superposition,[],[f103,f3584]) ).
fof(f24193,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(multiply(multiply(inverse(multiply(X3,X2)),X3),X1),inverse(X0))),
inference(forward_demodulation,[],[f24192,f15253]) ).
fof(f24192,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X2))),X1),inverse(X0))),
inference(forward_demodulation,[],[f24191,f14083]) ).
fof(f24191,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X2))),inverse(inverse(X1))),inverse(X0))),
inference(forward_demodulation,[],[f23849,f15253]) ).
fof(f23849,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = inverse(multiply(inverse(multiply(inverse(inverse(inverse(X1))),multiply(inverse(X3),multiply(X3,X2)))),inverse(X0))),
inference(superposition,[],[f13036,f103]) ).
fof(f28758,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X0),inverse(inverse(X1))))) = X3,
inference(superposition,[],[f119,f14420]) ).
fof(f30934,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)) = inverse(inverse(multiply(multiply(X3,X4),multiply(inverse(X4),multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2)))))),
inference(forward_demodulation,[],[f30559,f28963]) ).
fof(f28963,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(inverse(X1),X2))) = multiply(multiply(inverse(X2),X1),inverse(X0)),
inference(forward_demodulation,[],[f28962,f14420]) ).
fof(f28962,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(inverse(X1),X2))) = multiply(multiply(multiply(inverse(multiply(X3,X2)),X3),X1),inverse(X0)),
inference(forward_demodulation,[],[f28961,f15253]) ).
fof(f28961,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(inverse(X1),X2))) = multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X2))),X1),inverse(X0)),
inference(forward_demodulation,[],[f28960,f14083]) ).
fof(f28960,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(inverse(X1),X2))) = multiply(multiply(inverse(multiply(inverse(X3),multiply(X3,X2))),inverse(inverse(X1))),inverse(X0)),
inference(forward_demodulation,[],[f28660,f15253]) ).
fof(f28660,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(inverse(X1),X2))) = multiply(inverse(multiply(inverse(inverse(inverse(X1))),multiply(inverse(X3),multiply(X3,X2)))),inverse(X0)),
inference(superposition,[],[f14420,f103]) ).
fof(f30559,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)) = inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2))),X4),inverse(multiply(X3,X4)))),
inference(superposition,[],[f15213,f3]) ).
fof(f15213,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f13029,f14709]) ).
fof(f34143,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = multiply(X0,multiply(inverse(X1),multiply(inverse(X3),multiply(X3,X2)))),
inference(forward_demodulation,[],[f34142,f14083]) ).
fof(f34142,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = multiply(X0,multiply(inverse(X1),inverse(inverse(multiply(inverse(X3),multiply(X3,X2)))))),
inference(forward_demodulation,[],[f33815,f13494]) ).
fof(f33815,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),X2)) = multiply(X0,inverse(inverse(multiply(inverse(inverse(inverse(X1))),multiply(inverse(X3),multiply(X3,X2)))))),
inference(superposition,[],[f13621,f103]) ).
fof(f13621,plain,
! [X0,X1] : multiply(X0,inverse(inverse(multiply(inverse(X0),X1)))) = X1,
inference(forward_demodulation,[],[f13620,f11808]) ).
fof(f13620,plain,
! [X0,X1] : multiply(X0,multiply(inverse(inverse(inverse(X0))),inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f13426,f13228]) ).
fof(f13426,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(inverse(inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(superposition,[],[f4334,f13289]) ).
fof(f35246,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,multiply(inverse(multiply(X4,inverse(inverse(inverse(X1))))),multiply(X4,X2))))),
inference(forward_demodulation,[],[f35245,f30938]) ).
fof(f35245,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,multiply(X0,multiply(inverse(inverse(inverse(inverse(X1)))),multiply(inverse(X4),multiply(X4,X2)))))),
inference(forward_demodulation,[],[f34748,f24194]) ).
fof(f34748,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1),X2) = multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(X4,X2))),inverse(inverse(inverse(X1)))),inverse(X0))))),
inference(superposition,[],[f191,f13706]) ).
fof(f13706,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(inverse(inverse(X1)))) = X0,
inference(superposition,[],[f13029,f11522]) ).
fof(f19386,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(subsumption_resolution,[],[f19210,f15473]) ).
fof(f15473,plain,
! [X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(X3),X3),
inference(forward_demodulation,[],[f15472,f14420]) ).
fof(f15472,plain,
! [X2,X3,X1] : multiply(inverse(X1),X1) = multiply(multiply(inverse(multiply(X2,X3)),X2),X3),
inference(forward_demodulation,[],[f15471,f15253]) ).
fof(f15471,plain,
! [X2,X3,X1] : multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f15149,f14067]) ).
fof(f14067,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(superposition,[],[f13879,f13029]) ).
fof(f15149,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3) = multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),X1),
inference(superposition,[],[f3638,f14709]) ).
fof(f19210,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f19084]) ).
fof(f19084,plain,
( a2 != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f2,f15531]) ).
fof(f15531,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),X2) = X2,
inference(forward_demodulation,[],[f15530,f14709]) ).
fof(f15530,plain,
! [X2,X0] : inverse(inverse(X2)) = multiply(multiply(inverse(X0),X0),X2),
inference(forward_demodulation,[],[f15529,f11522]) ).
fof(f15529,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(multiply(inverse(X0),X0),X2),
inference(forward_demodulation,[],[f15528,f15253]) ).
fof(f15528,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(multiply(inverse(X0),X0)),X2),
inference(forward_demodulation,[],[f15188,f13940]) ).
fof(f15188,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(multiply(X3,inverse(X3)),X2)),
inference(superposition,[],[f5710,f14709]) ).
fof(f2,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP057-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:49:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28150)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (28153)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28154)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (28151)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (28152)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (28155)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (28156)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (28153)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (28157)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [3]
% 0.21/0.40 TRYING [4]
% 5.09/1.09 TRYING [4]
% 7.11/1.42 TRYING [5]
% 7.86/1.48 TRYING [1]
% 7.86/1.48 TRYING [2]
% 7.86/1.48 TRYING [3]
% 7.86/1.49 TRYING [4]
% 8.60/1.57 % (28157)First to succeed.
% 8.60/1.57 % (28157)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28150"
% 8.60/1.58 % (28157)Refutation found. Thanks to Tanya!
% 8.60/1.58 % SZS status Unsatisfiable for theBenchmark
% 8.60/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 8.60/1.58 % (28157)------------------------------
% 8.60/1.58 % (28157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.60/1.58 % (28157)Termination reason: Refutation
% 8.60/1.58
% 8.60/1.58 % (28157)Memory used [KB]: 22218
% 8.60/1.58 % (28157)Time elapsed: 1.198 s
% 8.60/1.58 % (28157)Instructions burned: 3852 (million)
% 8.60/1.58 % (28150)Success in time 1.203 s
%------------------------------------------------------------------------------