TSTP Solution File: GRP052-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP052-1 : 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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 05:52:52 EDT 2024
% Result : Unsatisfiable 13.87s 2.33s
% Output : Refutation 13.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 2
% Syntax : Number of formulae : 190 ( 186 unt; 0 def)
% Number of atoms : 196 ( 195 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 23 ( 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 : 723 ( 723 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34792,plain,
$false,
inference(trivial_inequality_removal,[],[f34791]) ).
fof(f34791,plain,
a2 != a2,
inference(superposition,[],[f34783,f19164]) ).
fof(f19164,plain,
! [X2,X3] : multiply(multiply(inverse(X3),X3),X2) = X2,
inference(backward_demodulation,[],[f12044,f19162]) ).
fof(f19162,plain,
! [X1,X5] : inverse(multiply(inverse(X5),inverse(multiply(inverse(X1),X1)))) = X5,
inference(forward_demodulation,[],[f19161,f19032]) ).
fof(f19032,plain,
! [X2,X1,X4] : multiply(inverse(multiply(inverse(inverse(X1)),X4)),X2) = multiply(inverse(X4),inverse(multiply(inverse(X2),X1))),
inference(forward_demodulation,[],[f17847,f3770]) ).
fof(f3770,plain,
! [X2,X0,X6,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,multiply(X0,X6))) = multiply(inverse(X2),X6),
inference(forward_demodulation,[],[f3769,f3148]) ).
fof(f3148,plain,
! [X2,X3,X4] : multiply(inverse(X2),X3) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(backward_demodulation,[],[f3112,f3113]) ).
fof(f3113,plain,
! [X2,X0] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X0)) = X2,
inference(backward_demodulation,[],[f1879,f2969]) ).
fof(f2969,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),X0) = X0,
inference(superposition,[],[f1920,f2732]) ).
fof(f2732,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f1871,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f1871,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X0))),
inference(superposition,[],[f24,f1730]) ).
fof(f1730,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X2),X2))),X3)),
inference(superposition,[],[f1707,f1]) ).
fof(f1707,plain,
! [X2,X3,X4] : inverse(X2) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X3)))),X2)),
inference(forward_demodulation,[],[f1654,f1]) ).
fof(f1654,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2)))),X1))) = inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X3)))),X2)),
inference(superposition,[],[f18,f150]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,X0)),multiply(X4,X3)) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X3)),
inference(superposition,[],[f109,f54]) ).
fof(f54,plain,
! [X3,X4,X5] : inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,X5)))),X4)) = X5,
inference(superposition,[],[f22,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),multiply(inverse(multiply(X0,inverse(X1))),X2)))),X3)) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X2))),X3))),X2)) = multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X3)),X1))),
inference(superposition,[],[f1,f1]) ).
fof(f109,plain,
! [X2,X3,X4,X5] : multiply(inverse(multiply(X3,X2)),multiply(X3,X4)) = multiply(inverse(multiply(X5,X2)),multiply(X5,X4)),
inference(superposition,[],[f85,f54]) ).
fof(f85,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)) = multiply(inverse(multiply(X3,inverse(X0))),multiply(X3,X2)),
inference(superposition,[],[f24,f54]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(X0))),inverse(X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1)))),X3)) = multiply(X4,inverse(multiply(X2,X0))),
inference(superposition,[],[f4,f1]) ).
fof(f24,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2)))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f1920,plain,
! [X0,X1] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X0) = X0,
inference(forward_demodulation,[],[f1912,f24]) ).
fof(f1912,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X0) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(X0)),X3)))),
inference(superposition,[],[f24,f1730]) ).
fof(f1879,plain,
! [X2,X0,X1] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),multiply(multiply(multiply(inverse(inverse(X0)),inverse(X0)),inverse(multiply(inverse(X1),X1))),X2)))),X0)) = X2,
inference(superposition,[],[f54,f1730]) ).
fof(f3112,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),X3) = multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X0)))),multiply(X4,X3)),
inference(backward_demodulation,[],[f1880,f2969]) ).
fof(f1880,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(multiply(multiply(inverse(inverse(X0)),inverse(X0)),inverse(multiply(inverse(X1),X1))),X3)) = multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X0)))),multiply(X4,X3)),
inference(superposition,[],[f96,f1730]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X0,X3)) = multiply(inverse(multiply(X4,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))),multiply(X4,X3)),
inference(superposition,[],[f85,f1]) ).
fof(f3769,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,multiply(X0,X6))) = multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X1),X6)),
inference(forward_demodulation,[],[f3749,f3148]) ).
fof(f3749,plain,
! [X2,X0,X1,X6,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,multiply(X0,X6))) = multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X2))),multiply(inverse(X1),X6)),
inference(backward_demodulation,[],[f3666,f3739]) ).
fof(f3739,plain,
! [X2,X0,X4,X5] : multiply(inverse(multiply(inverse(X0),X0)),multiply(X2,X4)) = multiply(X5,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X2),X5))),X4)),
inference(forward_demodulation,[],[f3738,f3148]) ).
fof(f3738,plain,
! [X2,X0,X6,X4,X5] : multiply(X5,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X6,X2)),multiply(X6,X5)))),X4)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(X2,X4)),
inference(forward_demodulation,[],[f3230,f3626]) ).
fof(f3626,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X4))),multiply(X3,X5)) = multiply(inverse(multiply(inverse(X0),X4)),multiply(X2,X5)),
inference(forward_demodulation,[],[f3153,f3148]) ).
fof(f3153,plain,
! [X2,X3,X0,X6,X4,X5] : multiply(inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X4))),multiply(X2,X5)) = multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X4))),multiply(X3,X5)),
inference(backward_demodulation,[],[f251,f3148]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X4))),multiply(X3,X5)) = multiply(inverse(multiply(inverse(multiply(X6,X0)),multiply(X6,X4))),multiply(X2,X5)),
inference(superposition,[],[f147,f54]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,X4)) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),multiply(inverse(multiply(X0,X1)),X4)),
inference(superposition,[],[f109,f109]) ).
fof(f3230,plain,
! [X2,X3,X0,X6,X4,X5] : multiply(X5,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X6,X2)),multiply(X6,X5)))),X4)) = multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X0)),X2))),X0))),multiply(X3,X4)),
inference(backward_demodulation,[],[f2542,f3148]) ).
fof(f2542,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0))),multiply(X3,X4)) = multiply(X5,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X6,X2)),multiply(X6,X5)))),X4)),
inference(backward_demodulation,[],[f731,f2424]) ).
fof(f2424,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0)),
inference(superposition,[],[f1981,f54]) ).
fof(f1981,plain,
! [X2,X0] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X2,X0)),multiply(X2,X0)),
inference(superposition,[],[f150,f1920]) ).
fof(f731,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0))),multiply(X3,X4)) = multiply(X5,multiply(multiply(multiply(X2,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0)),inverse(multiply(inverse(multiply(X6,X2)),multiply(X6,X5)))),X4)),
inference(superposition,[],[f150,f54]) ).
fof(f3666,plain,
! [X2,X3,X0,X1,X6,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,multiply(X0,X6))) = multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X2))),multiply(inverse(X1),X6)),
inference(forward_demodulation,[],[f3175,f3148]) ).
fof(f3175,plain,
! [X2,X3,X0,X1,X6,X7,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,multiply(X0,X6))) = multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X2))),multiply(inverse(multiply(X7,X1)),multiply(X7,X6))),
inference(backward_demodulation,[],[f777,f3148]) ).
fof(f777,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(inverse(multiply(X5,multiply(X0,X2))),multiply(X5,multiply(X0,X6))) = multiply(inverse(multiply(X3,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,X3)))),X2))),multiply(inverse(multiply(X7,X1)),multiply(X7,X6))),
inference(superposition,[],[f154,f150]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,X2))) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f109,f109]) ).
fof(f17847,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(inverse(X1)),X4)),X2) = multiply(inverse(multiply(X3,multiply(X0,X4))),multiply(X3,multiply(X0,inverse(multiply(inverse(X2),X1))))),
inference(backward_demodulation,[],[f3154,f17813]) ).
fof(f17813,plain,
! [X0,X4] : inverse(X0) = multiply(multiply(inverse(X4),X4),inverse(X0)),
inference(backward_demodulation,[],[f11786,f17799]) ).
fof(f17799,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3))),inverse(multiply(inverse(multiply(X1,X0)),X3))) = X0,
inference(backward_demodulation,[],[f11875,f17795]) ).
fof(f17795,plain,
! [X3,X0] : multiply(inverse(inverse(X3)),inverse(multiply(inverse(X0),X3))) = X0,
inference(backward_demodulation,[],[f12463,f17786]) ).
fof(f17786,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X2),X2)))))) = X0,
inference(backward_demodulation,[],[f17492,f17779]) ).
fof(f17779,plain,
! [X3,X0] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X3),X3))) = X0,
inference(forward_demodulation,[],[f17506,f12848]) ).
fof(f12848,plain,
! [X2,X3,X1] : multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = X2,
inference(superposition,[],[f12638,f11639]) ).
fof(f11639,plain,
! [X2,X0,X4] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X2)),inverse(multiply(X4,X2))))) = X4,
inference(forward_demodulation,[],[f11638,f4343]) ).
fof(f4343,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(X3,X0))) = multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X3))),multiply(inverse(inverse(X0)),inverse(multiply(X2,X0)))),
inference(backward_demodulation,[],[f3561,f4299]) ).
fof(f4299,plain,
! [X2,X3,X1] : multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X2))),X3))),X2) = multiply(inverse(inverse(X1)),inverse(multiply(X3,X1))),
inference(backward_demodulation,[],[f2100,f4298]) ).
fof(f4298,plain,
! [X1,X6,X7,X5] : multiply(inverse(multiply(X6,inverse(multiply(X7,X1)))),multiply(X6,inverse(multiply(X5,multiply(X7,X1))))) = multiply(inverse(inverse(X1)),inverse(multiply(X5,X1))),
inference(backward_demodulation,[],[f2324,f3562]) ).
fof(f3562,plain,
! [X2,X3,X0,X4] : multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X3,X2)))),X4))),multiply(X3,X2)) = multiply(inverse(inverse(X0)),inverse(multiply(X4,X0))),
inference(backward_demodulation,[],[f2159,f3148]) ).
fof(f2159,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(X5,inverse(X0))),multiply(X5,inverse(multiply(X4,X0)))) = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X3,X2)))),X4))),multiply(X3,X2)),
inference(backward_demodulation,[],[f1144,f1981]) ).
fof(f1144,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(X3,X2)))),X4))),multiply(X3,X2)) = multiply(inverse(multiply(X5,inverse(X0))),multiply(X5,inverse(multiply(X4,X0)))),
inference(superposition,[],[f24,f180]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,X1)),inverse(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),X4))),multiply(X0,X1)))) = X4,
inference(superposition,[],[f1,f109]) ).
fof(f2324,plain,
! [X3,X1,X6,X7,X4,X5] : multiply(inverse(multiply(X6,inverse(multiply(X7,X1)))),multiply(X6,inverse(multiply(X5,multiply(X7,X1))))) = multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X4,X3)))),X5))),multiply(X4,X3)),
inference(forward_demodulation,[],[f2161,f1981]) ).
fof(f2161,plain,
! [X2,X3,X1,X6,X7,X4,X5] : multiply(inverse(multiply(X6,inverse(multiply(X7,X1)))),multiply(X6,inverse(multiply(X5,multiply(X7,X1))))) = multiply(multiply(multiply(inverse(multiply(X2,X3)),multiply(X2,X3)),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X4,X3)))),X5))),multiply(X4,X3)),
inference(backward_demodulation,[],[f1146,f1981]) ).
fof(f1146,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(multiply(multiply(inverse(multiply(X2,X3)),multiply(X2,X3)),inverse(multiply(inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(multiply(X4,X3)))),X5))),multiply(X4,X3)) = multiply(inverse(multiply(X6,inverse(multiply(X7,X1)))),multiply(X6,inverse(multiply(X5,multiply(X7,X1))))),
inference(superposition,[],[f177,f180]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,X1)),inverse(X4)),multiply(X0,X1))))) = X4,
inference(superposition,[],[f24,f109]) ).
fof(f2100,plain,
! [X2,X3,X1,X4,X5] : multiply(inverse(multiply(X4,inverse(multiply(X5,X1)))),multiply(X4,inverse(multiply(X3,multiply(X5,X1))))) = multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X2))),X3))),X2),
inference(backward_demodulation,[],[f964,f1981]) ).
fof(f964,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(X2))),X3))),X2) = multiply(inverse(multiply(X4,inverse(multiply(X5,X1)))),multiply(X4,inverse(multiply(X3,multiply(X5,X1))))),
inference(superposition,[],[f177,f1]) ).
fof(f3561,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1)) = multiply(inverse(inverse(X0)),inverse(multiply(X3,X0))),
inference(backward_demodulation,[],[f2284,f3148]) ).
fof(f2284,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,inverse(multiply(X3,X0)))) = multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1)),
inference(backward_demodulation,[],[f506,f1981]) ).
fof(f506,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(X1))),X2))),X1)) = multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,inverse(multiply(X3,X0)))),
inference(superposition,[],[f24,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f11638,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(X0),X0),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X3),X4))),multiply(inverse(inverse(X2)),inverse(multiply(X3,X2)))))) = X4,
inference(forward_demodulation,[],[f11637,f4343]) ).
fof(f11637,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X0),X0),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X3),X4))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X5),X3))),multiply(inverse(inverse(X2)),inverse(multiply(X5,X2))))))) = X4,
inference(forward_demodulation,[],[f11472,f4299]) ).
fof(f11472,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X0),X0),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X3),X4))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X5),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X1))),X5))),X1))))) = X4,
inference(superposition,[],[f2389,f6483]) ).
fof(f6483,plain,
! [X3,X0,X1] : multiply(multiply(inverse(X1),X1),X3) = multiply(multiply(inverse(X0),X0),X3),
inference(forward_demodulation,[],[f6446,f2969]) ).
fof(f6446,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(X0),X0),X3) = multiply(multiply(inverse(X1),X1),multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X2),X2))),X3)),
inference(superposition,[],[f4538,f4836]) ).
fof(f4836,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X2),X2)),
inference(superposition,[],[f4755,f2732]) ).
fof(f4755,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(inverse(X0),X0)) = multiply(inverse(X1),multiply(inverse(X2),X2)),
inference(superposition,[],[f4517,f4534]) ).
fof(f4534,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(forward_demodulation,[],[f2994,f3133]) ).
fof(f3133,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))) = X1,
inference(backward_demodulation,[],[f2598,f2969]) ).
fof(f2598,plain,
! [X2,X0,X1] : multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),inverse(X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))) = X1,
inference(backward_demodulation,[],[f1991,f2586]) ).
fof(f2586,plain,
! [X2,X1] : multiply(inverse(X2),X2) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))),
inference(forward_demodulation,[],[f2427,f2426]) ).
fof(f2426,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))),
inference(superposition,[],[f1981,f1]) ).
fof(f2427,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),X2))),X3))),inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),X2))),X3))),
inference(superposition,[],[f1981,f4]) ).
fof(f1991,plain,
! [X2,X0,X1] : multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))),inverse(multiply(inverse(X2),X2))),inverse(X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))) = X1,
inference(superposition,[],[f24,f1920]) ).
fof(f2994,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X2)),X0)))) = X2,
inference(superposition,[],[f24,f2732]) ).
fof(f4517,plain,
! [X2,X1,X4] : multiply(inverse(X4),X1) = multiply(inverse(multiply(inverse(X1),X4)),multiply(inverse(X2),X2)),
inference(forward_demodulation,[],[f4516,f3770]) ).
fof(f4516,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,multiply(X0,X4))),multiply(X3,multiply(X0,X1))) = multiply(inverse(multiply(inverse(X1),X4)),multiply(inverse(X2),X2)),
inference(forward_demodulation,[],[f2973,f3148]) ).
fof(f2973,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,multiply(X0,X4))),multiply(X3,multiply(X0,X1))) = multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,X4))),multiply(inverse(X2),X2)),
inference(superposition,[],[f147,f2732]) ).
fof(f4538,plain,
! [X2,X0,X4,X5] : multiply(X2,X4) = multiply(X5,multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X2),X5))),X4)),
inference(backward_demodulation,[],[f3739,f4534]) ).
fof(f2389,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X3),X4))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))))) = X4,
inference(forward_demodulation,[],[f2388,f1981]) ).
fof(f2388,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X3),X4))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))))) = X4,
inference(forward_demodulation,[],[f2253,f1981]) ).
fof(f2253,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))),inverse(multiply(inverse(X3),X4))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))))) = X4,
inference(backward_demodulation,[],[f465,f1981]) ).
fof(f465,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))),inverse(multiply(inverse(X3),X4))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))))) = X4,
inference(superposition,[],[f3,f1]) ).
fof(f12638,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),X2) = multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),X2),
inference(superposition,[],[f12378,f3148]) ).
fof(f12378,plain,
! [X2,X3,X1] : multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X2),X2))))),X3) = X3,
inference(superposition,[],[f4534,f12263]) ).
fof(f12263,plain,
! [X3,X0,X4] : multiply(inverse(X0),X0) = multiply(multiply(inverse(X3),X3),inverse(inverse(multiply(inverse(X4),X4)))),
inference(forward_demodulation,[],[f12176,f2969]) ).
fof(f12176,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),X0) = multiply(multiply(inverse(X3),X3),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X4),X4))))),
inference(superposition,[],[f12044,f8710]) ).
fof(f8710,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f8580,f4517]) ).
fof(f8580,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X3),X3))),
inference(superposition,[],[f8489,f2969]) ).
fof(f8489,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(X2),X2))) = X0,
inference(forward_demodulation,[],[f8386,f8455]) ).
fof(f8455,plain,
! [X3,X0,X1,X6,X4,X5] : multiply(X3,inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(multiply(X3,inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4)))),inverse(X4))),multiply(X6,inverse(X0)))),X5))),X0)))) = X6,
inference(forward_demodulation,[],[f8323,f4517]) ).
fof(f8323,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X3,inverse(inverse(multiply(multiply(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)),inverse(multiply(inverse(multiply(inverse(multiply(multiply(X3,inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(X5)),X4)))),inverse(X4))),multiply(X6,inverse(X0)))),X5))),X0)))) = X6,
inference(superposition,[],[f6530,f4836]) ).
fof(f6530,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(multiply(X2,inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0)))),inverse(X0))),multiply(X3,inverse(X4)))),X1))),X4)))) = X3,
inference(backward_demodulation,[],[f2589,f6516]) ).
fof(f6516,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(X2,X3)),multiply(X0,X5)) = multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X0))),X3)),X5),
inference(forward_demodulation,[],[f6465,f3148]) ).
fof(f6465,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X0))),X3)),X5) = multiply(inverse(multiply(X4,multiply(X2,X3))),multiply(X4,multiply(X0,X5))),
inference(superposition,[],[f3770,f4538]) ).
fof(f2589,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))))),X3))),inverse(X0))),inverse(X4))),X1))),X4)))) = X3,
inference(backward_demodulation,[],[f31,f2586]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))),inverse(multiply(inverse(multiply(X2,inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))))),X3))),inverse(X0))),inverse(X4))),X1))),X4)))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f8386,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(X2),X2))) = multiply(X4,inverse(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(multiply(X4,inverse(inverse(multiply(multiply(multiply(inverse(X5),X5),inverse(X6)),X5)))),inverse(X5))),multiply(X0,inverse(X3)))),X6))),X3)))),
inference(superposition,[],[f6530,f4797]) ).
fof(f4797,plain,
! [X2,X3,X0,X1] : multiply(X0,X2) = multiply(inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(inverse(X3),X3))),X2),
inference(superposition,[],[f4777,f4777]) ).
fof(f4777,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X2,multiply(inverse(X1),X1))),multiply(X2,X3)) = X3,
inference(backward_demodulation,[],[f4554,f4776]) ).
fof(f4776,plain,
! [X3,X0,X1] : multiply(inverse(multiply(inverse(X1),X0)),multiply(inverse(multiply(inverse(X0),X1)),X3)) = X3,
inference(forward_demodulation,[],[f4773,f4534]) ).
fof(f4773,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X2),X2)),X3) = multiply(inverse(multiply(inverse(X1),X0)),multiply(inverse(multiply(inverse(X0),X1)),X3)),
inference(superposition,[],[f3148,f4517]) ).
fof(f4554,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(X2,multiply(inverse(X1),X1))),multiply(X2,X3)) = multiply(inverse(multiply(inverse(X5),X0)),multiply(inverse(multiply(inverse(X0),X5)),X3)),
inference(forward_demodulation,[],[f3009,f3148]) ).
fof(f3009,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X2,multiply(inverse(X1),X1))),multiply(X2,X3)) = multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X0))),multiply(inverse(multiply(inverse(X0),X5)),X3)),
inference(superposition,[],[f147,f2732]) ).
fof(f17506,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X3),X3))) = multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(inverse(X2)),inverse(multiply(X0,X2))))),
inference(superposition,[],[f12231,f12231]) ).
fof(f12231,plain,
! [X2,X3,X1] : multiply(inverse(inverse(X3)),inverse(multiply(X1,X3))) = multiply(inverse(X1),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f5714,f12044]) ).
fof(f5714,plain,
! [X3,X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X3)),X0))) = X3,
inference(forward_demodulation,[],[f5696,f4517]) ).
fof(f5696,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)),inverse(X3)),X0))) = X3,
inference(superposition,[],[f3133,f4836]) ).
fof(f17492,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X3),X3))) = multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f12231,f12263]) ).
fof(f12463,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(X3)),inverse(multiply(inverse(X0),X3))) = multiply(inverse(inverse(X0)),inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f11811,f12263]) ).
fof(f11811,plain,
! [X2,X3,X1] : multiply(inverse(inverse(X3)),inverse(multiply(X2,X3))) = multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))),
inference(superposition,[],[f5714,f11639]) ).
fof(f11875,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3))),inverse(multiply(inverse(multiply(X1,X0)),X3))) = multiply(inverse(inverse(X4)),inverse(multiply(inverse(X0),X4))),
inference(superposition,[],[f11811,f4815]) ).
fof(f4815,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X2)),X3) = multiply(inverse(X2),multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X3)),
inference(superposition,[],[f3148,f4777]) ).
fof(f11786,plain,
! [X2,X3,X0,X1,X4] : inverse(X0) = multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3))),inverse(multiply(inverse(multiply(X1,X0)),X3))))),
inference(superposition,[],[f11639,f4815]) ).
fof(f3154,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,multiply(X0,X4))),multiply(X3,multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))))) = multiply(inverse(multiply(inverse(inverse(X1)),X4)),X2),
inference(backward_demodulation,[],[f254,f3148]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,multiply(X0,X4))),multiply(X3,multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))))) = multiply(inverse(multiply(inverse(multiply(X5,inverse(X1))),multiply(X5,X4))),X2),
inference(superposition,[],[f147,f24]) ).
fof(f19161,plain,
! [X1,X5] : inverse(multiply(inverse(multiply(inverse(inverse(X1)),X5)),X1)) = X5,
inference(forward_demodulation,[],[f19160,f3148]) ).
fof(f19160,plain,
! [X2,X1,X5] : inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(inverse(X1)),X5))),multiply(inverse(X2),X1))) = X5,
inference(forward_demodulation,[],[f17889,f17813]) ).
fof(f17889,plain,
! [X2,X1,X5] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(X1)),X5)))),multiply(inverse(X2),X1))) = X5,
inference(backward_demodulation,[],[f4479,f17813]) ).
fof(f4479,plain,
! [X2,X1,X5] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(X1)),X5)))),multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = X5,
inference(forward_demodulation,[],[f4475,f3148]) ).
fof(f4475,plain,
! [X2,X0,X1,X5] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X5))))),multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = X5,
inference(backward_demodulation,[],[f2059,f3130]) ).
fof(f3130,plain,
! [X2,X0,X1,X4] : multiply(inverse(X2),multiply(X1,X4)) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),X2))),X0))),X4),
inference(backward_demodulation,[],[f2582,f2969]) ).
fof(f2582,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X1,X4)) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),X2))),X0))),multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),X4)),
inference(backward_demodulation,[],[f1885,f2426]) ).
fof(f1885,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X1,X4)) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),X2))),X0))),multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),X2))),X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),X2))),X0))),inverse(multiply(inverse(X3),X3))),X4)),
inference(superposition,[],[f96,f1730]) ).
fof(f2059,plain,
! [X2,X3,X0,X1,X5] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),X2))),X3))),multiply(X0,X5)))),multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = X5,
inference(backward_demodulation,[],[f865,f1981]) ).
fof(f865,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(multiply(inverse(multiply(X4,X1)),multiply(X4,X1)),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(X3))),X2))),X3))),multiply(X0,X5)))),multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))) = X5,
inference(superposition,[],[f176,f4]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,X1)),inverse(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,X4)))),multiply(X0,X1))) = X4,
inference(superposition,[],[f54,f109]) ).
fof(f12044,plain,
! [X2,X3,X4] : multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X2),inverse(multiply(inverse(X4),X4))))) = X2,
inference(superposition,[],[f11840,f3246]) ).
fof(f3246,plain,
! [X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X0)),X3))),X0)) = X3,
inference(backward_demodulation,[],[f2964,f3148]) ).
fof(f2964,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,X3)))),X0)) = X3,
inference(superposition,[],[f54,f2732]) ).
fof(f11840,plain,
! [X3,X0,X1] : inverse(X0) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[],[f11764,f4517]) ).
fof(f11764,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))))),
inference(superposition,[],[f11639,f4836]) ).
fof(f34783,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(equality_resolution,[],[f34436]) ).
fof(f34436,plain,
! [X0] :
( multiply(inverse(a1),a1) != multiply(inverse(X0),X0)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
inference(superposition,[],[f20740,f2732]) ).
fof(f20740,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
inference(trivial_inequality_removal,[],[f20739]) ).
fof(f20739,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
inference(backward_demodulation,[],[f2,f20716]) ).
fof(f20716,plain,
! [X2,X3,X0] : multiply(X3,multiply(X0,X2)) = multiply(multiply(X3,X0),X2),
inference(forward_demodulation,[],[f19696,f19745]) ).
fof(f19745,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f19744,f19164]) ).
fof(f19744,plain,
! [X3,X0] : inverse(inverse(X0)) = multiply(multiply(inverse(X3),X3),X0),
inference(backward_demodulation,[],[f19687,f19743]) ).
fof(f19743,plain,
! [X2,X3] : inverse(multiply(inverse(multiply(X2,X3)),X2)) = X3,
inference(forward_demodulation,[],[f19742,f19433]) ).
fof(f19433,plain,
! [X2,X0] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X2) = X2,
inference(forward_demodulation,[],[f19380,f19371]) ).
fof(f19371,plain,
! [X3,X1] : multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),X3) = X3,
inference(forward_demodulation,[],[f19245,f4534]) ).
fof(f19245,plain,
! [X2,X3,X1] : multiply(inverse(multiply(inverse(X2),X2)),X3) = multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),X3),
inference(backward_demodulation,[],[f12490,f19164]) ).
fof(f12490,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),X3) = multiply(inverse(multiply(inverse(X2),X2)),multiply(multiply(inverse(X0),X0),X3)),
inference(superposition,[],[f3148,f12263]) ).
fof(f19380,plain,
! [X2,X0,X1] : multiply(multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),inverse(inverse(multiply(inverse(X0),X0)))),X2) = X2,
inference(backward_demodulation,[],[f14665,f19371]) ).
fof(f14665,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),X2) = multiply(multiply(inverse(inverse(inverse(multiply(inverse(X1),X1)))),inverse(inverse(multiply(inverse(X0),X0)))),X2),
inference(superposition,[],[f12638,f13102]) ).
fof(f13102,plain,
! [X2,X1] : inverse(inverse(inverse(multiply(inverse(X1),X1)))) = inverse(inverse(inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f13090,f13090]) ).
fof(f13090,plain,
! [X2,X0] : multiply(inverse(X0),X0) = inverse(inverse(inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f12940,f4792]) ).
fof(f4792,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),multiply(inverse(X2),X2))),multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f4777,f2732]) ).
fof(f12940,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X2),X2)))),multiply(inverse(X1),X1))),multiply(inverse(X3),X3))),
inference(superposition,[],[f8489,f12638]) ).
fof(f19742,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,X3))),X2)) = X3,
inference(forward_demodulation,[],[f19741,f19686]) ).
fof(f19686,plain,
! [X2,X0] : multiply(X0,X2) = multiply(inverse(inverse(X0)),X2),
inference(forward_demodulation,[],[f19646,f19641]) ).
fof(f19641,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f19640,f19164]) ).
fof(f19640,plain,
! [X3,X0,X1] : multiply(multiply(inverse(X3),X3),inverse(X0)) = inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(forward_demodulation,[],[f19621,f19443]) ).
fof(f19443,plain,
! [X2,X3] : inverse(X2) = inverse(multiply(X2,multiply(inverse(X3),X3))),
inference(forward_demodulation,[],[f19434,f19164]) ).
fof(f19434,plain,
! [X2,X3,X0] : multiply(multiply(inverse(X0),X0),inverse(X2)) = inverse(multiply(X2,multiply(inverse(X3),X3))),
inference(backward_demodulation,[],[f8587,f19433]) ).
fof(f8587,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,multiply(inverse(X3),X3))) = multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),X2))),
inference(superposition,[],[f8489,f3246]) ).
fof(f19621,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),X1)))))) = multiply(multiply(inverse(X3),X3),inverse(multiply(X0,multiply(inverse(inverse(X2)),inverse(X2))))),
inference(backward_demodulation,[],[f15637,f19606]) ).
fof(f19606,plain,
! [X2,X3,X0] : multiply(inverse(inverse(multiply(X3,X0))),X2) = multiply(X3,multiply(inverse(inverse(X0)),X2)),
inference(forward_demodulation,[],[f19449,f19443]) ).
fof(f19449,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(X3,X0))),X2) = multiply(X3,multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),X2)),
inference(backward_demodulation,[],[f7495,f19443]) ).
fof(f7495,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),X2)) = multiply(inverse(multiply(inverse(multiply(X3,X0)),multiply(inverse(X4),X4))),X2),
inference(superposition,[],[f4795,f5761]) ).
fof(f5761,plain,
! [X2,X3,X4] : multiply(X2,multiply(inverse(multiply(X2,multiply(inverse(X3),X3))),X4)) = X4,
inference(superposition,[],[f4787,f3246]) ).
fof(f4787,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),X2)) = X2,
inference(superposition,[],[f4777,f4777]) ).
fof(f4795,plain,
! [X2,X3,X0,X1] : multiply(X0,X2) = multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(X3),X3))),multiply(inverse(X1),X2)),
inference(superposition,[],[f4777,f3148]) ).
fof(f15637,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(multiply(X0,X2))),inverse(X2)))) = inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f11639,f13170]) ).
fof(f13170,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X2,inverse(inverse(inverse(multiply(inverse(X1),X1)))))),multiply(X2,X3)) = X3,
inference(superposition,[],[f4777,f13090]) ).
fof(f19646,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(inverse(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),X1))))))),X2),
inference(backward_demodulation,[],[f15478,f19641]) ).
fof(f15478,plain,
! [X2,X3,X0,X1] : multiply(X0,X2) = multiply(inverse(multiply(inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(X1),X1)))))),inverse(inverse(inverse(multiply(inverse(X3),X3)))))),X2),
inference(superposition,[],[f13170,f13170]) ).
fof(f19741,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(inverse(inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(X2,X3))),X2)) = X3,
inference(forward_demodulation,[],[f19690,f19686]) ).
fof(f19690,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X1),X1))))))),inverse(multiply(X2,X3))),X2)) = X3,
inference(backward_demodulation,[],[f14890,f19686]) ).
fof(f14890,plain,
! [X2,X3,X1] : inverse(multiply(multiply(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(inverse(X2)),X3))),X2)) = X3,
inference(superposition,[],[f3246,f13132]) ).
fof(f13132,plain,
! [X2,X1] : multiply(inverse(X2),X2) = inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X1),X1))))))),
inference(superposition,[],[f13090,f13090]) ).
fof(f19687,plain,
! [X3,X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(X1,X0)),X1))),
inference(backward_demodulation,[],[f19363,f19686]) ).
fof(f19363,plain,
! [X3,X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(inverse(multiply(X1,X0)))),X1))),
inference(backward_demodulation,[],[f11974,f19232]) ).
fof(f19232,plain,
! [X2,X3,X1] : multiply(inverse(X3),X2) = multiply(inverse(X3),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))),
inference(backward_demodulation,[],[f11816,f19164]) ).
fof(f11816,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = multiply(inverse(multiply(multiply(inverse(X0),X0),X3)),X2),
inference(superposition,[],[f3148,f11639]) ).
fof(f11974,plain,
! [X2,X3,X0,X1] : inverse(inverse(X0)) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(inverse(multiply(X1,X0)))),inverse(multiply(inverse(inverse(X2)),inverse(multiply(X1,X2))))))),
inference(superposition,[],[f11639,f11811]) ).
fof(f19696,plain,
! [X2,X3,X0] : multiply(X3,multiply(X0,X2)) = multiply(inverse(inverse(multiply(X3,X0))),X2),
inference(backward_demodulation,[],[f19606,f19686]) ).
fof(f2,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP052-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:37:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (30572)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (30575)WARNING: value z3 for option sas not known
% 0.15/0.37 % (30574)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (30576)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (30577)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)
% 0.15/0.37 % (30575)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)
% 0.15/0.37 % (30578)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)
% 0.15/0.37 % (30579)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (30573)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.20/0.40 TRYING [4]
% 5.10/1.12 TRYING [4]
% 7.79/1.49 TRYING [1]
% 7.79/1.49 TRYING [2]
% 7.79/1.49 TRYING [3]
% 7.79/1.51 TRYING [4]
% 13.53/2.33 % (30578)First to succeed.
% 13.53/2.33 % (30578)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30572"
% 13.87/2.33 % (30578)Refutation found. Thanks to Tanya!
% 13.87/2.33 % SZS status Unsatisfiable for theBenchmark
% 13.87/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 13.87/2.33 % (30578)------------------------------
% 13.87/2.33 % (30578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 13.87/2.33 % (30578)Termination reason: Refutation
% 13.87/2.33
% 13.87/2.33 % (30578)Memory used [KB]: 21009
% 13.87/2.33 % (30578)Time elapsed: 1.955 s
% 13.87/2.33 % (30578)Instructions burned: 4593 (million)
% 13.87/2.33 % (30572)Success in time 1.964 s
%------------------------------------------------------------------------------