%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP423-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:58 AM UTC 2026
% Result : Unsatisfiable 9.97s 2.26s
% Output : Refutation 10.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 11
% Syntax : Number of formulae : 199 ( 182 unt; 9 def)
% Number of atoms : 232 ( 183 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 65 ( 32 ~; 28 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 547 ( 0 sgn 547 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,definition,
sF0 = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
multiply(a3,b3) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = multiply(sF0,c3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
multiply(sF0,c3) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
multiply(b3,c3) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = multiply(a3,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
multiply(a3,sF2) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
sF1 != sF3,
inference(definition_folding,[],[f2,f10,f8,f6,f4]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3)) = inverse(multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X1,X4))),
inference(superposition,[],[f1,f1]) ).
fof(f14,plain,
! [X2,X0,X1] : multiply(inverse(X2),inverse(multiply(inverse(X0),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))) = inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f16,definition,
( spl4_1
<=> multiply(a3,sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f18,plain,
( multiply(a3,sF2) = sF3
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f19,plain,
spl4_1,
inference(avatar_split_clause,[],[f10,f16]) ).
fof(f21,definition,
( spl4_2
<=> multiply(sF0,c3) = sF1 ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f23,plain,
( multiply(sF0,c3) = sF1
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
spl4_2,
inference(avatar_split_clause,[],[f6,f21]) ).
fof(f26,definition,
( spl4_3
<=> multiply(a3,b3) = sF0 ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f28,plain,
( multiply(a3,b3) = sF0
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f29,plain,
spl4_3,
inference(avatar_split_clause,[],[f4,f26]) ).
fof(f32,definition,
( spl4_4
<=> multiply(b3,c3) = sF2 ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f34,plain,
( multiply(b3,c3) = sF2
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,plain,
spl4_4,
inference(avatar_split_clause,[],[f8,f32]) ).
fof(f40,definition,
( spl4_5
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f42,plain,
( sF1 != sF3
| spl4_5 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
~ spl4_5,
inference(avatar_split_clause,[],[f11,f40]) ).
fof(f70,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)))) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f73,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f88,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(X0),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))))))) = inverse(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2)))),
inference(superposition,[],[f70,f1]) ).
fof(f116,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f14,f14]) ).
fof(f127,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[],[f1,f14]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X4,X1)),multiply(X4,X2)) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(inverse(X5),inverse(multiply(inverse(X5),X5))))))),multiply(X3,X5))),
inference(superposition,[],[f1,f116]) ).
fof(f243,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X4,X1)),multiply(X4,X2)),
inference(forward_demodulation,[],[f235,f1]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X4)) = multiply(X0,multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),X4)),
inference(superposition,[],[f243,f1]) ).
fof(f1020,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,X3))),
inference(superposition,[],[f283,f73]) ).
fof(f1364,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f1020,f1020]) ).
fof(f1397,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X5))) = inverse(multiply(inverse(multiply(inverse(X5),X4)),multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f116,f1020]) ).
fof(f1551,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X0),X0))))))),multiply(X1,X3))) = X2,
inference(superposition,[],[f1,f1364]) ).
fof(f1555,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(inverse(X0),X0))))))),multiply(X1,X3)))) = X2,
inference(superposition,[],[f70,f1364]) ).
fof(f1559,plain,
! [X2,X0,X1] : multiply(inverse(X2),inverse(multiply(inverse(X2),X2))) = inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,X2))),
inference(superposition,[],[f1,f1364]) ).
fof(f1575,plain,
! [X2,X0,X1] : multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X0),X0))),
inference(superposition,[],[f14,f1364]) ).
fof(f1578,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(inverse(X2)),multiply(inverse(X1),inverse(multiply(inverse(X0),X0))))))),multiply(inverse(X0),X0)) = X2,
inference(superposition,[],[f73,f1364]) ).
fof(f1586,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X2),X3)),
inference(superposition,[],[f243,f1364]) ).
fof(f1597,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))) = inverse(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,X2)))),
inference(superposition,[],[f70,f1364]) ).
fof(f1615,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2)))) = inverse(inverse(multiply(inverse(multiply(inverse(X2),X0)),multiply(inverse(X2),X2)))),
inference(backward_demodulation,[],[f88,f1575]) ).
fof(f1756,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))),
inference(superposition,[],[f1559,f1364]) ).
fof(f1789,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(X1,X3))) = inverse(multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),multiply(inverse(multiply(X2,inverse(multiply(inverse(X4),X4)))),X3))),
inference(superposition,[],[f116,f1559]) ).
fof(f2325,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X5)))) = inverse(inverse(multiply(inverse(multiply(inverse(X5),X4)),multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X2)))))),
inference(superposition,[],[f1615,f1020]) ).
fof(f2330,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X4,X1))))) = inverse(inverse(multiply(inverse(multiply(inverse(multiply(X4,X1)),X3)),multiply(inverse(multiply(X0,X1)),multiply(X0,X1))))),
inference(superposition,[],[f1615,f243]) ).
fof(f2523,plain,
! [X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X0),X0))) = multiply(inverse(X0),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f1559,f1551]) ).
fof(f2593,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X0),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f2523,f2523]) ).
fof(f2631,plain,
! [X0,X1] : multiply(inverse(X1),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),
inference(superposition,[],[f2523,f1559]) ).
fof(f2641,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f2523,f1364]) ).
fof(f2740,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X0),X0))) = multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))),
inference(backward_demodulation,[],[f1575,f2641]) ).
fof(f2749,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))),
inference(backward_demodulation,[],[f1756,f2641]) ).
fof(f2770,plain,
! [X0,X1] : multiply(inverse(X1),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f2631,f2641]) ).
fof(f2795,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[],[f2749,f2641]) ).
fof(f2804,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X0),X0))) = multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f2740,f2641]) ).
fof(f2824,plain,
! [X0,X1] : multiply(inverse(X1),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X1),multiply(inverse(X0),X0)),
inference(forward_demodulation,[],[f2770,f2641]) ).
fof(f2900,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f2795,f2795]) ).
fof(f2971,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f1551,f2795]) ).
fof(f3010,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(multiply(inverse(X0),X0),multiply(inverse(X2),X3)),
inference(superposition,[],[f243,f2795]) ).
fof(f3029,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(multiply(inverse(X0),X0),multiply(inverse(X2),X2)),
inference(superposition,[],[f1364,f2795]) ).
fof(f3146,plain,
! [X0,X1] : multiply(inverse(X1),X1) = inverse(inverse(inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f2795,f2900]) ).
fof(f3800,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))),multiply(X2,X3))) = inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X0),X3))),
inference(superposition,[],[f116,f2824]) ).
fof(f3805,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))),multiply(X2,X3)) = multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),multiply(inverse(X0),X3)),
inference(superposition,[],[f243,f2824]) ).
fof(f3818,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))),multiply(inverse(X0),X0)))) = inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X0)))),
inference(superposition,[],[f1615,f2824]) ).
fof(f3852,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(inverse(X0),X0)))) = inverse(inverse(multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X0)))),
inference(forward_demodulation,[],[f3818,f1597]) ).
fof(f4183,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(multiply(X1,X0)),X3)),
inference(superposition,[],[f3010,f1559]) ).
fof(f4205,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(X2),X3)),inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,X2)))) = multiply(multiply(inverse(X4),X4),multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f3010,f1559]) ).
fof(f4294,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(multiply(inverse(X4),X4),multiply(multiply(inverse(X0),X0),X3)),
inference(superposition,[],[f3010,f2900]) ).
fof(f4402,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(X3,multiply(inverse(X1),X2))),multiply(X3,X4))) = inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(multiply(inverse(X5),X5),X4))),
inference(superposition,[],[f116,f3010]) ).
fof(f4505,plain,
! [X0,X4,X5] : multiply(X0,inverse(multiply(inverse(X5),X5))) = multiply(X0,inverse(multiply(inverse(X4),X4))),
inference(superposition,[],[f2593,f1551]) ).
fof(f4959,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,multiply(inverse(X0),X0)),
inference(superposition,[],[f4505,f2795]) ).
fof(f5728,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))))),multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f1555,f1364]) ).
fof(f6108,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),X4))))))),multiply(inverse(X0),X0))) = X2,
inference(superposition,[],[f1551,f3029]) ).
fof(f6109,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),X4))))))),multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f1555,f3029]) ).
fof(f6113,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X3),multiply(inverse(X2),X2))),multiply(inverse(X3),X3)))) = inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(multiply(inverse(X1),X1),X3)))),
inference(superposition,[],[f1615,f3029]) ).
fof(f6118,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X3),inverse(multiply(inverse(X3),X3)))) = inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(multiply(inverse(X1),X1),X3)))),
inference(forward_demodulation,[],[f6113,f3852]) ).
fof(f7611,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))) = inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(X0),X0))))),multiply(inverse(X2),X3))),
inference(superposition,[],[f116,f3146]) ).
fof(f7798,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,multiply(inverse(X1),X1))))),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(superposition,[],[f127,f4959]) ).
fof(f7833,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(X0),X0)))),multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))) = X2,
inference(superposition,[],[f127,f3029]) ).
fof(f7914,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),inverse(inverse(inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[],[f127,f2900]) ).
fof(f7927,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),X1)))))) = X3,
inference(superposition,[],[f127,f4959]) ).
fof(f7953,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X0)))),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))) = X3,
inference(superposition,[],[f127,f4505]) ).
fof(f7964,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))),multiply(X1,X3))) = inverse(multiply(X0,multiply(inverse(inverse(multiply(inverse(multiply(X4,X0)),multiply(X4,X2)))),X3))),
inference(superposition,[],[f116,f127]) ).
fof(f7973,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(inverse(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2)))),X3)) = multiply(multiply(inverse(X4),X4),multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))),X3)),
inference(superposition,[],[f3010,f127]) ).
fof(f7976,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,multiply(X0,inverse(multiply(X0,multiply(inverse(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,X6)))),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))))))),multiply(X4,multiply(inverse(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,X6)))),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),
inference(superposition,[],[f12,f127]) ).
fof(f8029,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))),multiply(inverse(X1),X1))))) = X3,
inference(forward_demodulation,[],[f7927,f2804]) ).
fof(f8055,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(X0),X0)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))),multiply(inverse(X3),X3))))) = X2,
inference(forward_demodulation,[],[f7833,f2804]) ).
fof(f8068,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,multiply(inverse(X1),X1))))),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) = X2,
inference(forward_demodulation,[],[f7798,f2641]) ).
fof(f8085,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(inverse(X0),X0)))))),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),multiply(inverse(X1),X1)))) = X3,
inference(forward_demodulation,[],[f8029,f2804]) ).
fof(f8094,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(X0),X0)))),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),multiply(inverse(X3),X3)))) = X2,
inference(forward_demodulation,[],[f8055,f2804]) ).
fof(f8100,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X2)),multiply(X0,multiply(inverse(X1),X1))))),multiply(inverse(X3),X3))) = X2,
inference(forward_demodulation,[],[f8068,f2641]) ).
fof(f8101,plain,
! [X3,X1] : inverse(inverse(multiply(X3,multiply(inverse(X1),X1)))) = X3,
inference(forward_demodulation,[],[f8085,f7953]) ).
fof(f8166,plain,
! [X3,X4,X5] : inverse(multiply(inverse(X5),X4)) = inverse(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X5)))),
inference(backward_demodulation,[],[f2325,f8101]) ).
fof(f8175,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),multiply(inverse(X3),X3)))) = X2,
inference(backward_demodulation,[],[f8094,f8101]) ).
fof(f8177,plain,
! [X2,X3,X1,X4] : inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X4,X1))))) = inverse(multiply(inverse(multiply(X4,X1)),X3)),
inference(backward_demodulation,[],[f2330,f8101]) ).
fof(f8186,plain,
! [X2,X3,X1] : inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X1),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(backward_demodulation,[],[f5728,f8101]) ).
fof(f8187,plain,
! [X2,X3,X1,X4] : inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),X4))))))) = X2,
inference(backward_demodulation,[],[f6109,f8101]) ).
fof(f8323,plain,
! [X2,X0] : inverse(multiply(inverse(X2),multiply(inverse(X0),X0))) = X2,
inference(backward_demodulation,[],[f6108,f8187]) ).
fof(f8336,plain,
! [X2,X0] : inverse(multiply(inverse(X2),inverse(multiply(inverse(X0),X0)))) = X2,
inference(backward_demodulation,[],[f2971,f8186]) ).
fof(f8342,plain,
! [X2,X0] : multiply(inverse(inverse(X2)),multiply(inverse(X0),X0)) = X2,
inference(backward_demodulation,[],[f1578,f8186]) ).
fof(f8391,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)),multiply(inverse(X3),X3))) = X2,
inference(backward_demodulation,[],[f8100,f8177]) ).
fof(f8409,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = X2,
inference(forward_demodulation,[],[f8175,f8101]) ).
fof(f8496,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(X3),X2)),multiply(inverse(X3),inverse(inverse(inverse(multiply(inverse(X0),X0))))))) = X2,
inference(backward_demodulation,[],[f7914,f8166]) ).
fof(f8503,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))),multiply(X1,X3))) = inverse(multiply(X0,multiply(inverse(multiply(inverse(X2),X0)),X3))),
inference(backward_demodulation,[],[f7964,f8166]) ).
fof(f8506,plain,
! [X2,X3,X0,X4] : multiply(multiply(inverse(X4),X4),multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))),X3)) = multiply(X0,multiply(inverse(multiply(inverse(X2),X0)),X3)),
inference(backward_demodulation,[],[f7973,f8166]) ).
fof(f8509,plain,
! [X2,X3,X0,X1,X6,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = inverse(multiply(inverse(multiply(X4,inverse(multiply(X2,multiply(X0,inverse(multiply(X0,multiply(inverse(multiply(inverse(X6),X0)),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))))))),multiply(X4,multiply(inverse(multiply(inverse(X6),X0)),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))),
inference(backward_demodulation,[],[f7976,f8166]) ).
fof(f8677,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))),multiply(X2,X3))) = inverse(multiply(X0,multiply(inverse(X0),X3))),
inference(backward_demodulation,[],[f3800,f8323]) ).
fof(f8678,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))),multiply(X2,X3)) = multiply(X0,multiply(inverse(X0),X3)),
inference(backward_demodulation,[],[f3805,f8323]) ).
fof(f8724,plain,
! [X3,X4,X5] : inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X5))) = multiply(inverse(X5),X4),
inference(backward_demodulation,[],[f1397,f8323]) ).
fof(f8770,plain,
! [X3,X0,X1] : inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(multiply(inverse(X1),X1),X3)))) = X3,
inference(backward_demodulation,[],[f6118,f8336]) ).
fof(f8833,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(forward_demodulation,[],[f8391,f8323]) ).
fof(f8837,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(forward_demodulation,[],[f8409,f8323]) ).
fof(f8892,plain,
! [X2,X3,X0,X4] : multiply(X0,multiply(inverse(multiply(inverse(X2),X0)),X3)) = multiply(multiply(inverse(X4),X4),multiply(X2,X3)),
inference(forward_demodulation,[],[f8506,f8336]) ).
fof(f9179,plain,
! [X2,X3,X1,X4] : multiply(multiply(inverse(X4),X4),multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))) = multiply(inverse(multiply(inverse(X2),X3)),multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))),
inference(backward_demodulation,[],[f4205,f8724]) ).
fof(f9227,plain,
! [X2,X3,X1,X4,X5] : inverse(multiply(inverse(multiply(X3,multiply(inverse(X1),X2))),multiply(X3,X4))) = inverse(multiply(multiply(inverse(X2),X1),multiply(multiply(inverse(X5),X5),X4))),
inference(backward_demodulation,[],[f4402,f8724]) ).
fof(f9242,plain,
! [X2,X3,X0] : multiply(inverse(X3),X2) = inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(X0),X0))))),multiply(inverse(X2),X3))),
inference(backward_demodulation,[],[f7611,f8724]) ).
fof(f9281,plain,
! [X2,X3,X0] : multiply(inverse(X3),multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))) = inverse(multiply(X0,multiply(inverse(multiply(inverse(X2),X0)),X3))),
inference(backward_demodulation,[],[f8503,f8724]) ).
fof(f9303,plain,
! [X2,X3,X0,X4] : inverse(multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),multiply(inverse(multiply(X2,inverse(multiply(inverse(X4),X4)))),X3))) = multiply(inverse(X3),multiply(X2,X0)),
inference(backward_demodulation,[],[f1789,f8724]) ).
fof(f9348,plain,
! [X2,X3,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = multiply(inverse(multiply(inverse(multiply(inverse(X6),X0)),multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))),inverse(multiply(X2,multiply(X0,inverse(multiply(X0,multiply(inverse(multiply(inverse(X6),X0)),multiply(inverse(X6),inverse(multiply(inverse(X6),X6)))))))))),
inference(backward_demodulation,[],[f8509,f8724]) ).
fof(f9390,plain,
! [X2,X0] : multiply(inverse(inverse(inverse(inverse(multiply(inverse(X0),X0))))),X2) = X2,
inference(backward_demodulation,[],[f8496,f8724]) ).
fof(f9429,plain,
! [X2,X3,X0,X4] : multiply(multiply(inverse(X4),X4),multiply(multiply(inverse(X0),X0),X3)) = multiply(X2,multiply(inverse(X2),X3)),
inference(backward_demodulation,[],[f4294,f8678]) ).
fof(f9447,plain,
! [X3,X0] : multiply(inverse(X3),inverse(multiply(inverse(X0),X0))) = inverse(multiply(X0,multiply(inverse(X0),X3))),
inference(forward_demodulation,[],[f8677,f8724]) ).
fof(f9554,plain,
! [X2,X3,X1] : multiply(inverse(X2),X3) = multiply(inverse(multiply(X1,X2)),multiply(X1,X3)),
inference(backward_demodulation,[],[f1586,f8833]) ).
fof(f9561,plain,
! [X3,X1] : inverse(inverse(multiply(multiply(inverse(X1),X1),X3))) = X3,
inference(backward_demodulation,[],[f8770,f8833]) ).
fof(f9766,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(X0),inverse(multiply(inverse(X0),X0))),multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),X3)) = multiply(inverse(multiply(X1,X0)),X3),
inference(backward_demodulation,[],[f4183,f8837]) ).
fof(f9847,plain,
! [X2,X3,X0] : multiply(X2,X3) = multiply(X0,multiply(inverse(multiply(inverse(X2),X0)),X3)),
inference(forward_demodulation,[],[f8892,f8837]) ).
fof(f9928,plain,
! [X2,X3,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = multiply(multiply(inverse(inverse(multiply(inverse(X6),X6))),X0),inverse(multiply(X2,multiply(X0,inverse(multiply(X0,multiply(inverse(multiply(inverse(X6),X0)),multiply(inverse(X6),inverse(multiply(inverse(X6),X6)))))))))),
inference(forward_demodulation,[],[f9348,f8724]) ).
fof(f10031,plain,
! [X2,X3] : inverse(multiply(inverse(X2),X3)) = multiply(inverse(X3),X2),
inference(forward_demodulation,[],[f9242,f9390]) ).
fof(f10039,plain,
! [X2,X3,X1,X4] : inverse(multiply(inverse(multiply(X3,multiply(inverse(X1),X2))),multiply(X3,X4))) = inverse(multiply(multiply(inverse(X2),X1),X4)),
inference(forward_demodulation,[],[f9227,f8837]) ).
fof(f10061,plain,
! [X2,X3,X1] : multiply(inverse(X3),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(X2),X3)),multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[],[f9179,f8837]) ).
fof(f10247,plain,
! [X2,X3,X0] : multiply(multiply(inverse(X0),X0),X3) = multiply(X2,multiply(inverse(X2),X3)),
inference(forward_demodulation,[],[f9429,f8837]) ).
fof(f10346,plain,
! [X2,X3,X0] : inverse(multiply(X0,multiply(inverse(multiply(inverse(X2),X0)),X3))) = multiply(inverse(X3),inverse(multiply(X2,multiply(inverse(X2),X2)))),
inference(backward_demodulation,[],[f9281,f9447]) ).
fof(f10351,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),multiply(X2,X0)) = inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X0))),multiply(inverse(multiply(X2,inverse(multiply(inverse(X4),X4)))),X3))),
inference(backward_demodulation,[],[f9303,f9447]) ).
fof(f10456,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(forward_demodulation,[],[f9561,f8837]) ).
fof(f10713,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X0)),X3) = multiply(inverse(multiply(X0,multiply(inverse(X0),X0))),multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),X3)),
inference(forward_demodulation,[],[f9766,f9447]) ).
fof(f10984,plain,
! [X2,X3,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = multiply(multiply(inverse(inverse(multiply(inverse(X6),X6))),X0),inverse(multiply(X2,multiply(X0,inverse(multiply(X6,multiply(inverse(X6),inverse(multiply(inverse(X6),X6))))))))),
inference(forward_demodulation,[],[f9928,f9847]) ).
fof(f11059,plain,
! [X2,X3,X0] : multiply(X2,X3) = multiply(X0,multiply(multiply(inverse(X0),X2),X3)),
inference(backward_demodulation,[],[f9847,f10031]) ).
fof(f11076,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X3,X4)),multiply(X3,multiply(inverse(X1),X2))) = inverse(multiply(multiply(inverse(X2),X1),X4)),
inference(forward_demodulation,[],[f10039,f10031]) ).
fof(f11095,plain,
! [X2,X3,X1] : multiply(inverse(X3),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X3),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f10061,f9554]) ).
fof(f11276,plain,
! [X2,X3] : multiply(X2,multiply(inverse(X2),X3)) = X3,
inference(forward_demodulation,[],[f10247,f8837]) ).
fof(f11351,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),multiply(X2,X0)) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X4),X4)))),X3)),multiply(X0,multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f10351,f10031]) ).
fof(f11356,plain,
! [X2,X3,X0] : multiply(inverse(X3),inverse(multiply(X2,multiply(inverse(X2),X2)))) = inverse(multiply(X0,multiply(multiply(inverse(X0),X2),X3))),
inference(forward_demodulation,[],[f10346,f10031]) ).
fof(f11469,plain,
! [X2,X0] : multiply(X2,multiply(inverse(X0),X0)) = X2,
inference(backward_demodulation,[],[f8342,f10456]) ).
fof(f11666,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X0)),X3) = multiply(inverse(multiply(X0,multiply(inverse(X0),X0))),multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3)),
inference(forward_demodulation,[],[f10713,f10031]) ).
fof(f11892,plain,
! [X2,X3,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = multiply(multiply(inverse(multiply(inverse(X6),X6)),X0),inverse(multiply(X2,multiply(X0,inverse(multiply(X6,multiply(inverse(X6),multiply(inverse(X6),X6)))))))),
inference(forward_demodulation,[],[f10984,f10031]) ).
fof(f11974,plain,
! [X2,X1,X4] : multiply(inverse(X4),multiply(inverse(X1),X2)) = inverse(multiply(multiply(inverse(X2),X1),X4)),
inference(forward_demodulation,[],[f11076,f9554]) ).
fof(f11986,plain,
! [X2,X3,X1] : multiply(inverse(X3),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X3),multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f11095,f10031]) ).
fof(f12238,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),multiply(X2,X0)) = multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X4),X4)))),X3)),X0),
inference(forward_demodulation,[],[f11351,f11276]) ).
fof(f12243,plain,
! [X2,X3] : inverse(multiply(X2,X3)) = multiply(inverse(X3),inverse(multiply(X2,multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f11356,f11059]) ).
fof(f12508,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,X0)),X3) = multiply(inverse(multiply(X0,multiply(inverse(X0),X0))),multiply(inverse(X1),X3)),
inference(forward_demodulation,[],[f11666,f11469]) ).
fof(f12653,plain,
! [X2,X3,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = multiply(multiply(inverse(multiply(inverse(X6),X6)),X0),inverse(multiply(X2,multiply(X0,inverse(multiply(inverse(X6),X6)))))),
inference(forward_demodulation,[],[f11892,f11276]) ).
fof(f12721,plain,
! [X2,X3,X1] : multiply(inverse(X3),inverse(multiply(inverse(X2),X2))) = inverse(multiply(multiply(inverse(X1),X1),X3)),
inference(forward_demodulation,[],[f11986,f11974]) ).
fof(f12943,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),multiply(X2,X0)) = multiply(multiply(inverse(X3),multiply(X2,inverse(multiply(inverse(X4),X4)))),X0),
inference(forward_demodulation,[],[f12238,f10031]) ).
fof(f12948,plain,
! [X2,X3] : inverse(multiply(X2,X3)) = multiply(inverse(X3),inverse(X2)),
inference(forward_demodulation,[],[f12243,f11276]) ).
fof(f13120,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,X0)),X3) = inverse(multiply(multiply(inverse(X3),X1),multiply(X0,multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f12508,f11974]) ).
fof(f13212,plain,
! [X2,X3,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = multiply(multiply(multiply(inverse(X6),X6),X0),inverse(multiply(X2,multiply(X0,multiply(inverse(X6),X6))))),
inference(forward_demodulation,[],[f12653,f10031]) ).
fof(f13278,plain,
! [X2,X3] : inverse(X3) = multiply(inverse(X3),inverse(multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f12721,f8837]) ).
fof(f13477,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),multiply(X2,X0)) = multiply(multiply(inverse(X3),multiply(X2,multiply(inverse(X4),X4))),X0),
inference(forward_demodulation,[],[f12943,f10031]) ).
fof(f13619,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,X0)),X3) = inverse(multiply(multiply(inverse(X3),X1),X0)),
inference(forward_demodulation,[],[f13120,f11276]) ).
fof(f13680,plain,
! [X2,X3,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = multiply(multiply(multiply(inverse(X6),X6),X0),inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f13212,f11469]) ).
fof(f13722,plain,
! [X2,X3] : inverse(X3) = inverse(multiply(multiply(inverse(X2),X2),X3)),
inference(forward_demodulation,[],[f13278,f12948]) ).
fof(f13871,plain,
! [X2,X3,X0] : multiply(inverse(X3),multiply(X2,X0)) = multiply(multiply(inverse(X3),X2),X0),
inference(forward_demodulation,[],[f13477,f11469]) ).
fof(f13978,plain,
! [X2,X1,X4] : multiply(inverse(X4),multiply(inverse(X1),X2)) = multiply(inverse(multiply(X1,X4)),X2),
inference(backward_demodulation,[],[f11974,f13619]) ).
fof(f14023,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X1,X3)) = multiply(X0,inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f13680,f8837]) ).
fof(f14061,plain,
! [X2,X3] : inverse(X3) = multiply(inverse(multiply(X2,X3)),X2),
inference(forward_demodulation,[],[f13722,f13619]) ).
fof(f14331,plain,
! [X2,X3,X0] : multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3)))))),X3) = multiply(X0,inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f14023,f9554]) ).
fof(f14596,plain,
! [X2,X3,X0] : multiply(multiply(inverse(X2),multiply(inverse(X3),inverse(multiply(inverse(X3),X3)))),X3) = multiply(X0,inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f14331,f10456]) ).
fof(f14840,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(X2,X0))) = multiply(inverse(X2),multiply(multiply(inverse(X3),inverse(multiply(inverse(X3),X3))),X3)),
inference(forward_demodulation,[],[f14596,f13871]) ).
fof(f15060,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(X2,X0))) = multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(multiply(inverse(X3),X3)),X3))),
inference(forward_demodulation,[],[f14840,f13871]) ).
fof(f15259,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(X2,X0))) = multiply(inverse(multiply(X3,X2)),multiply(inverse(multiply(inverse(X3),X3)),X3)),
inference(forward_demodulation,[],[f15060,f13978]) ).
fof(f15432,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(X2,X0))) = multiply(inverse(multiply(multiply(inverse(X3),X3),multiply(X3,X2))),X3),
inference(forward_demodulation,[],[f15259,f13978]) ).
fof(f15586,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(X2,X0))) = multiply(inverse(multiply(inverse(X3),multiply(X3,multiply(X3,X2)))),X3),
inference(forward_demodulation,[],[f15432,f13871]) ).
fof(f15720,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(X2,X0))) = multiply(multiply(inverse(multiply(X3,multiply(X3,X2))),X3),X3),
inference(forward_demodulation,[],[f15586,f10031]) ).
fof(f15835,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(X2,X0))) = multiply(inverse(multiply(X3,multiply(X3,X2))),multiply(X3,X3)),
inference(forward_demodulation,[],[f15720,f13871]) ).
fof(f15919,plain,
! [X2,X3,X0] : multiply(X0,inverse(multiply(X2,X0))) = multiply(inverse(multiply(X3,X2)),X3),
inference(forward_demodulation,[],[f15835,f9554]) ).
fof(f15996,plain,
! [X2,X0] : inverse(X2) = multiply(X0,inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f15919,f14061]) ).
fof(f16514,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(inverse(inverse(X0)),multiply(X1,X2)),
inference(superposition,[],[f9554,f15996]) ).
fof(f16576,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(inverse(inverse(multiply(X0,X1))),X2),
inference(forward_demodulation,[],[f16514,f10456]) ).
fof(f16589,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f16576,f10456]) ).
fof(f16790,plain,
( ! [X0] : multiply(sF0,X0) = multiply(a3,multiply(b3,X0))
| ~ spl4_3 ),
inference(superposition,[],[f16589,f28]) ).
fof(f16855,plain,
( multiply(sF0,c3) = multiply(a3,sF2)
| ~ spl4_3
| ~ spl4_4 ),
inference(superposition,[],[f16790,f34]) ).
fof(f16878,plain,
( multiply(sF0,c3) = sF3
| ~ spl4_1
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_demodulation,[],[f16855,f18]) ).
fof(f16881,plain,
( sF1 = sF3
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_demodulation,[],[f16878,f23]) ).
fof(f16882,plain,
( $false
| ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f16881,f42]) ).
fof(f16883,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(avatar_contradiction_clause,[],[f16882]) ).
cnf(s1,plain,
spl4_1,
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
spl4_2,
inference(sat_conversion,[],[f24]) ).
cnf(s3,plain,
spl4_3,
inference(sat_conversion,[],[f29]) ).
cnf(s4,plain,
spl4_4,
inference(sat_conversion,[],[f35]) ).
cnf(s5,plain,
~ spl4_5,
inference(sat_conversion,[],[f43]) ).
cnf(s7,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f16883]) ).
cnf(s8,plain,
~ spl4_1,
inference(rat,[],[s7,s5,s4,s3,s2]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s8]) ).
fof(f16884,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP423-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 10:01:55 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.97/2.26 % (1171060)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.97/2.26 % (1171065)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=758003680:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.97/2.26 % (1171068)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2190893349:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.97/2.26 % (1171067)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1339405917:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.97/2.26 % (1171069)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2878336945:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.97/2.26 % (1171070)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1391913853:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.97/2.26 % (1171066)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1865038243:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.97/2.26 % (1171071)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1639469080:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.97/2.26 % (1171068)Instruction limit reached!
% 9.97/2.26 % (1171068)------------------------------
% 9.97/2.26 % (1171068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.26 % (1171068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.26 % (1171068)CaDiCaL version: 2.1.3
% 9.97/2.26 % (1171068)Termination reason: Instruction limit
% 9.97/2.26 % (1171068)Termination phase: Saturation
% 9.97/2.26 % (1171068)Time elapsed: 0.075 s
% 9.97/2.26 % (1171068)Peak memory usage: 89 MB
% 9.97/2.26 % (1171068)Instructions burned: 137 (million)
% 9.97/2.26 % (1171069)Instruction limit reached!
% 9.97/2.26 % (1171069)------------------------------
% 9.97/2.26 % (1171069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.26 % (1171069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.26 % (1171069)CaDiCaL version: 2.1.3
% 9.97/2.26 % (1171069)Termination reason: Instruction limit
% 9.97/2.26 % (1171069)Termination phase: Saturation
% 9.97/2.26 % (1171069)Time elapsed: 0.097 s
% 9.97/2.26 % (1171069)Peak memory usage: 89 MB
% 9.97/2.26 % (1171069)Instructions burned: 182 (million)
% 9.97/2.26 % (1171070)Instruction limit reached!
% 9.97/2.26 % (1171070)------------------------------
% 9.97/2.26 % (1171070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.26 % (1171070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.26 % (1171070)CaDiCaL version: 2.1.3
% 9.97/2.26 % (1171070)Termination reason: Instruction limit
% 9.97/2.26 % (1171070)Termination phase: Saturation
% 9.97/2.26 % (1171070)Time elapsed: 0.147 s
% 9.97/2.26 % (1171070)Peak memory usage: 91 MB
% 9.97/2.26 % (1171070)Instructions burned: 259 (million)
% 9.97/2.26 % (1171079)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2708708592:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 9.97/2.26 % (1171080)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1612866585:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 9.97/2.26 % (1171081)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3872369392:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 9.97/2.26 % (1171081)Instruction limit reached!
% 9.97/2.26 % (1171081)------------------------------
% 9.97/2.26 % (1171081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.26 % (1171081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.26 % (1171081)CaDiCaL version: 2.1.3
% 9.97/2.26 % (1171081)Termination reason: Instruction limit
% 9.97/2.26 % (1171081)Termination phase: Saturation
% 9.97/2.26 % (1171081)Time elapsed: 0.125 s
% 9.97/2.26 % (1171081)Peak memory usage: 90 MB
% 9.97/2.26 % (1171081)Instructions burned: 216 (million)
% 9.97/2.26 % (1171085)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1398154903:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 9.97/2.26 % (1171071)Instruction limit reached!
% 9.97/2.26 % (1171071)------------------------------
% 9.97/2.26 % (1171071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.26 % (1171071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.26 % (1171071)CaDiCaL version: 2.1.3
% 9.97/2.26 % (1171071)Termination reason: Instruction limit
% 9.97/2.26 % (1171071)Termination phase: Saturation
% 9.97/2.26 % (1171071)Time elapsed: 0.604 s
% 9.97/2.26 % (1171071)Peak memory usage: 96 MB
% 9.97/2.26 % (1171071)Instructions burned: 1187 (million)
% 9.97/2.26 % (1171085)Instruction limit reached!
% 9.97/2.26 % (1171085)------------------------------
% 9.97/2.26 % (1171085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.26 % (1171085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.26 % (1171085)CaDiCaL version: 2.1.3
% 9.97/2.26 % (1171085)Termination reason: Instruction limit
% 9.97/2.26 % (1171085)Termination phase: Saturation
% 9.97/2.26 % (1171085)Time elapsed: 0.153 s
% 9.97/2.26 % (1171085)Peak memory usage: 95 MB
% 9.97/2.26 % (1171085)Instructions burned: 318 (million)
% 9.97/2.26 % (1171087)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2309502158:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 9.97/2.26 % (1171088)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=501464910:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 9.97/2.26 % (1171065)First to succeed.
% 9.97/2.26 % (1171065)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1171060"
% 9.97/2.26 % (1171065)Refutation found. Thanks to Tanya!
% 9.97/2.26 % SZS status Unsatisfiable for theBenchmark
% 9.97/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 10.59/2.45 % (1171065)------------------------------
% 10.59/2.45 % (1171065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.45 % (1171065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.45 % (1171065)CaDiCaL version: 2.1.3
% 10.59/2.45 % (1171065)Termination reason: Refutation
% 10.59/2.45 % (1171065)Time elapsed: 1.119 s
% 10.59/2.45 % (1171065)Peak memory usage: 147 MB
% 10.59/2.45 % (1171065)Instructions burned: 3487 (million)
% 10.59/2.45 % (1171065)------------------------------
% 10.59/2.45 % (1171065)------------------------------
% 10.59/2.45 % (1171060)Success in time 1.414 s
% 10.59/2.45 % Vampire exiting
%------------------------------------------------------------------------------