%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP083-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 10:16:37 AM UTC 2026
% Result : Unsatisfiable 7.01s 1.57s
% Output : Refutation 7.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 6
% Syntax : Number of formulae : 103 ( 85 unt; 3 def)
% Number of atoms : 126 ( 96 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 22 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 278 ( 0 sgn 278 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f7,definition,
( spl0_1
<=> inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl0_2
<=> a2 = inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_3
<=> inverse(double_divide(a1,inverse(a1))) = inverse(double_divide(b1,inverse(b1))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f17,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5,f15,f11,f7]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X4,double_divide(X2,X4)))) = double_divide(double_divide(X1,inverse(X0)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X0)))),inverse(double_divide(X5,double_divide(X1,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X1,inverse(double_divide(X2,X0))),inverse(double_divide(X3,X4))),double_divide(inverse(X3),inverse(double_divide(double_divide(inverse(X2),inverse(double_divide(X5,double_divide(X1,X5)))),X0)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))) = double_divide(inverse(X0),inverse(double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[],[f19,f19]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(X4,double_divide(X2,X4))) = double_divide(double_divide(X3,inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))))),double_divide(inverse(inverse(X0)),inverse(double_divide(X5,double_divide(X3,X5))))),
inference(superposition,[],[f1,f34]) ).
fof(f79,plain,
! [X2,X1,X4] : inverse(double_divide(X1,double_divide(X2,X1))) = inverse(double_divide(X4,double_divide(X2,X4))),
inference(forward_demodulation,[],[f74,f1]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,X3) = double_divide(double_divide(X2,inverse(double_divide(X0,double_divide(X1,X0)))),double_divide(inverse(X3),inverse(double_divide(X4,double_divide(X2,X4))))),
inference(superposition,[],[f1,f79]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,double_divide(X3,double_divide(X1,X3))) = double_divide(double_divide(X4,inverse(double_divide(X5,double_divide(X2,X5)))),double_divide(inverse(double_divide(X0,double_divide(X1,X0))),inverse(double_divide(X6,double_divide(X4,X6))))),
inference(superposition,[],[f101,f79]) ).
fof(f141,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))) = double_divide(X3,double_divide(X2,inverse(double_divide(X0,double_divide(X4,double_divide(X3,X4)))))),
inference(superposition,[],[f101,f19]) ).
fof(f152,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(X3,double_divide(X1,X3))) = double_divide(X2,double_divide(X0,double_divide(X1,X0))),
inference(forward_demodulation,[],[f129,f101]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X4,double_divide(X2,X4)) = double_divide(double_divide(X3,inverse(double_divide(X0,double_divide(X1,double_divide(X2,X1))))),double_divide(inverse(X0),inverse(double_divide(X5,double_divide(X3,X5))))),
inference(superposition,[],[f1,f152]) ).
fof(f219,plain,
! [X2,X1,X4] : double_divide(X1,double_divide(X2,X1)) = double_divide(X4,double_divide(X2,X4)),
inference(forward_demodulation,[],[f207,f1]) ).
fof(f230,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X2,X3)) = double_divide(double_divide(X1,X2),double_divide(X0,double_divide(X1,X0))),
inference(superposition,[],[f219,f219]) ).
fof(f588,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X0,inverse(double_divide(X2,double_divide(inverse(X1),inverse(double_divide(X3,double_divide(inverse(X2),X3))))))),inverse(double_divide(X4,X5))),double_divide(inverse(X4),inverse(double_divide(X0,X1)))) = X5,
inference(superposition,[],[f20,f1]) ).
fof(f2930,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X2,X0))),X1)),inverse(double_divide(X3,double_divide(inverse(X2),X3)))) = X0,
inference(superposition,[],[f141,f1]) ).
fof(f3206,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,X0))),X2),X3))),X0) = X3,
inference(superposition,[],[f1,f2930]) ).
fof(f3390,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(X3,double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X1,inverse(X1)))),X2)),X3)))) = X0,
inference(superposition,[],[f2930,f3206]) ).
fof(f3405,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X0,double_divide(inverse(X3),inverse(double_divide(double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X1,inverse(double_divide(X3,X4))))),X2)),inverse(double_divide(X5,double_divide(inverse(X1),X5)))),X0)))) = X4,
inference(superposition,[],[f20,f3206]) ).
fof(f3478,plain,
! [X3,X0,X4] : double_divide(X0,double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(X3,X4)),X0)))) = X4,
inference(forward_demodulation,[],[f3405,f2930]) ).
fof(f3535,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X1,double_divide(inverse(X2),X1))),double_divide(inverse(double_divide(X3,inverse(double_divide(X2,X0)))),inverse(X0))) = X3,
inference(superposition,[],[f3478,f2930]) ).
fof(f3590,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X2,X3)) = double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X0)),X2))),X0),
inference(superposition,[],[f219,f3478]) ).
fof(f4090,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,double_divide(X1,X0))),inverse(double_divide(X3,double_divide(inverse(inverse(double_divide(X2,inverse(X2)))),X3)))) = X1,
inference(superposition,[],[f2930,f3590]) ).
fof(f4613,plain,
! [X2,X0,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X2,double_divide(inverse(X0),X2))),inverse(X0)))) = X1,
inference(superposition,[],[f3390,f2930]) ).
fof(f4659,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X1,inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2),X0))),X1) = X0,
inference(superposition,[],[f3390,f2930]) ).
fof(f5258,plain,
! [X2,X0,X1,X4] : double_divide(double_divide(X2,inverse(double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0)),X4))),X2) = X4,
inference(superposition,[],[f4659,f4659]) ).
fof(f5259,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,inverse(double_divide(double_divide(X0,double_divide(inverse(inverse(double_divide(X1,inverse(X1)))),X0)),X3))),X2) = X3,
inference(superposition,[],[f4659,f3590]) ).
fof(f5445,plain,
! [X3,X0,X1] : inverse(double_divide(X3,double_divide(inverse(X0),X3))) = double_divide(double_divide(X1,inverse(inverse(X0))),X1),
inference(superposition,[],[f5258,f2930]) ).
fof(f5665,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X1,X3))),X2)),double_divide(double_divide(X0,inverse(inverse(X1))),X0)) = X3,
inference(superposition,[],[f2930,f5445]) ).
fof(f5763,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(X0,double_divide(inverse(X1),X0)))) = double_divide(X3,double_divide(double_divide(X2,inverse(inverse(X1))),X3)),
inference(superposition,[],[f219,f5445]) ).
fof(f6864,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X2,X3))),X1)),inverse(inverse(X2))),X0)) = X3,
inference(superposition,[],[f5665,f219]) ).
fof(f9920,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3)))))),X0)) = X1,
inference(superposition,[],[f3535,f219]) ).
fof(f11331,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(inverse(double_divide(X0,double_divide(inverse(inverse(double_divide(X1,inverse(X1)))),X0))))) = X2,
inference(superposition,[],[f4613,f4090]) ).
fof(f11540,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,double_divide(double_divide(double_divide(X0,inverse(double_divide(double_divide(X1,double_divide(inverse(inverse(double_divide(X2,inverse(X2)))),X1)),X3))),X0),X4)) = X3,
inference(superposition,[],[f6864,f11331]) ).
fof(f11566,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(double_divide(X2,double_divide(inverse(inverse(double_divide(X3,inverse(X3)))),X2)),X4))),X1)),double_divide(X0,inverse(X0))) = X4,
inference(superposition,[],[f5665,f11331]) ).
fof(f11660,plain,
! [X0,X4] : double_divide(inverse(X4),double_divide(X0,inverse(X0))) = X4,
inference(forward_demodulation,[],[f11566,f5259]) ).
fof(f11661,plain,
! [X3,X4] : double_divide(X4,double_divide(X3,X4)) = X3,
inference(forward_demodulation,[],[f11540,f5259]) ).
fof(f11721,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f11661,f11661]) ).
fof(f12830,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),inverse(double_divide(X2,double_divide(double_divide(X1,double_divide(X3,double_divide(inverse(X0),X3))),X2)))) = X0,
inference(superposition,[],[f141,f11660]) ).
fof(f12893,plain,
! [X2,X0,X1] : inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X1),X2)))))) = X0,
inference(superposition,[],[f9920,f11660]) ).
fof(f12928,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X0),X1)) = double_divide(double_divide(X2,inverse(X2)),X0),
inference(superposition,[],[f219,f11660]) ).
fof(f12932,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(X3,double_divide(inverse(X0),X3))) = double_divide(X1,double_divide(double_divide(X2,inverse(X2)),X1)),
inference(superposition,[],[f230,f11660]) ).
fof(f13010,plain,
! [X2,X3,X0] : double_divide(X2,inverse(X2)) = double_divide(X0,double_divide(X3,double_divide(inverse(X0),X3))),
inference(forward_demodulation,[],[f12932,f11661]) ).
fof(f13014,plain,
! [X2,X0] : inverse(X0) = double_divide(double_divide(X2,inverse(X2)),X0),
inference(forward_demodulation,[],[f12928,f11661]) ).
fof(f13045,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(double_divide(X1,inverse(X1))))) = X0,
inference(forward_demodulation,[],[f12893,f11661]) ).
fof(f13084,plain,
! [X3,X0,X1] : double_divide(inverse(X1),inverse(double_divide(X1,double_divide(X3,double_divide(inverse(X0),X3))))) = X0,
inference(forward_demodulation,[],[f12830,f11661]) ).
fof(f13168,plain,
! [X2,X0] : double_divide(X2,inverse(X2)) = double_divide(X0,inverse(X0)),
inference(forward_demodulation,[],[f13010,f11661]) ).
fof(f13190,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(double_divide(X1,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f13084,f11661]) ).
fof(f13559,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X2,inverse(X2)))))) = X1,
inference(superposition,[],[f3478,f13014]) ).
fof(f13572,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),inverse(double_divide(X0,X1)))) = X1,
inference(forward_demodulation,[],[f13559,f11660]) ).
fof(f14310,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3))) = double_divide(X1,double_divide(inverse(double_divide(X0,inverse(X0))),X1)),
inference(superposition,[],[f9920,f13168]) ).
fof(f14573,plain,
! [X2,X3,X0] : double_divide(X2,double_divide(X3,double_divide(inverse(X2),X3))) = inverse(double_divide(X0,inverse(X0))),
inference(forward_demodulation,[],[f14310,f11661]) ).
fof(f14855,plain,
! [X2,X0] : double_divide(X2,inverse(X2)) = inverse(double_divide(X0,inverse(X0))),
inference(forward_demodulation,[],[f14573,f11661]) ).
fof(f15479,plain,
! [X2,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X0,inverse(double_divide(X2,double_divide(inverse(X1),inverse(inverse(X2)))))),inverse(double_divide(X4,X5))),double_divide(inverse(X4),inverse(double_divide(X0,X1)))) = X5,
inference(forward_demodulation,[],[f588,f11661]) ).
fof(f15532,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X1,inverse(double_divide(double_divide(double_divide(X2,double_divide(X0,inverse(X0))),X2),X3))),X1) = X3,
inference(superposition,[],[f4659,f13045]) ).
fof(f15704,plain,
! [X2,X3,X0] : inverse(double_divide(double_divide(double_divide(X2,double_divide(X0,inverse(X0))),X2),X3)) = X3,
inference(forward_demodulation,[],[f15532,f11721]) ).
fof(f15780,plain,
! [X3,X0] : inverse(double_divide(double_divide(X0,inverse(X0)),X3)) = X3,
inference(forward_demodulation,[],[f15704,f11721]) ).
fof(f15812,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(forward_demodulation,[],[f15780,f13014]) ).
fof(f23496,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(X3,double_divide(inverse(X2),X3))) = double_divide(X1,double_divide(inverse(double_divide(X2,inverse(X0))),X1)),
inference(superposition,[],[f230,f13190]) ).
fof(f23576,plain,
! [X2,X3,X0] : inverse(double_divide(X2,inverse(X0))) = double_divide(X0,double_divide(X3,double_divide(inverse(X2),X3))),
inference(forward_demodulation,[],[f23496,f11661]) ).
fof(f23753,plain,
! [X2,X0] : double_divide(X0,inverse(X2)) = inverse(double_divide(X2,inverse(X0))),
inference(forward_demodulation,[],[f23576,f11661]) ).
fof(f24037,plain,
! [X2,X0,X1] : double_divide(inverse(X2),X1) = inverse(double_divide(X0,double_divide(double_divide(inverse(X1),inverse(inverse(X2))),X0))),
inference(superposition,[],[f13572,f5763]) ).
fof(f24063,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X3,X0)) = double_divide(X1,double_divide(double_divide(inverse(double_divide(double_divide(X2,X0),X2)),inverse(inverse(inverse(X3)))),X1)),
inference(superposition,[],[f6864,f13572]) ).
fof(f24171,plain,
! [X2,X3,X0] : inverse(double_divide(X3,X0)) = double_divide(inverse(double_divide(double_divide(X2,X0),X2)),inverse(inverse(inverse(X3)))),
inference(forward_demodulation,[],[f24063,f11661]) ).
fof(f24195,plain,
! [X2,X1] : double_divide(inverse(X2),X1) = inverse(double_divide(inverse(X1),inverse(inverse(X2)))),
inference(forward_demodulation,[],[f24037,f11661]) ).
fof(f24332,plain,
! [X2,X3,X0] : inverse(double_divide(X3,X0)) = double_divide(inverse(double_divide(double_divide(X2,X0),X2)),inverse(X3)),
inference(forward_demodulation,[],[f24171,f15812]) ).
fof(f24349,plain,
! [X2,X1] : double_divide(inverse(X2),X1) = inverse(double_divide(inverse(X1),X2)),
inference(forward_demodulation,[],[f24195,f15812]) ).
fof(f24429,plain,
! [X3,X0] : inverse(double_divide(X3,X0)) = double_divide(inverse(X0),inverse(X3)),
inference(forward_demodulation,[],[f24332,f11721]) ).
fof(f36253,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3))
| spl0_1 ),
inference(superposition,[],[f9,f24349]) ).
fof(f36551,plain,
( double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),inverse(c3))
| spl0_1 ),
inference(forward_demodulation,[],[f36253,f23753]) ).
fof(f38178,plain,
! [X2,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X0,inverse(double_divide(X2,double_divide(inverse(X1),inverse(inverse(X2)))))),inverse(double_divide(X4,X5))),inverse(double_divide(double_divide(X0,X1),X4))) = X5,
inference(forward_demodulation,[],[f15479,f24429]) ).
fof(f38179,plain,
! [X2,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X0,inverse(double_divide(X2,inverse(double_divide(inverse(X2),X1))))),inverse(double_divide(X4,X5))),inverse(double_divide(double_divide(X0,X1),X4))) = X5,
inference(forward_demodulation,[],[f38178,f24429]) ).
fof(f38180,plain,
! [X2,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(X2),X1),inverse(X2))),inverse(double_divide(X4,X5))),inverse(double_divide(double_divide(X0,X1),X4))) = X5,
inference(forward_demodulation,[],[f38179,f23753]) ).
fof(f38181,plain,
! [X0,X1,X4,X5] : double_divide(double_divide(double_divide(X0,X1),inverse(double_divide(X4,X5))),inverse(double_divide(double_divide(X0,X1),X4))) = X5,
inference(forward_demodulation,[],[f38180,f11721]) ).
fof(f38414,plain,
! [X0,X4,X5] : double_divide(double_divide(X0,inverse(double_divide(X4,X5))),inverse(double_divide(X0,X4))) = X5,
inference(superposition,[],[f38181,f1]) ).
fof(f40522,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X1,double_divide(double_divide(X2,inverse(double_divide(X3,X0))),X1))) = inverse(double_divide(inverse(double_divide(X2,X3)),X0)),
inference(superposition,[],[f79,f38414]) ).
fof(f40655,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X1,double_divide(double_divide(X2,inverse(double_divide(X3,X0))),X1))) = double_divide(inverse(X0),double_divide(X2,X3)),
inference(forward_demodulation,[],[f40522,f24349]) ).
fof(f41033,plain,
! [X2,X3,X0] : inverse(double_divide(X2,inverse(double_divide(X3,X0)))) = double_divide(inverse(X0),double_divide(X2,X3)),
inference(forward_demodulation,[],[f40655,f11661]) ).
fof(f41327,plain,
! [X2,X3,X0] : double_divide(double_divide(X3,X0),inverse(X2)) = double_divide(inverse(X0),double_divide(X2,X3)),
inference(forward_demodulation,[],[f41033,f23753]) ).
fof(f44489,plain,
( double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(inverse(a3),double_divide(c3,b3))
| spl0_1 ),
inference(superposition,[],[f36551,f41327]) ).
fof(f44649,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f44489]) ).
fof(f44650,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f44649]) ).
fof(f45693,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f13,f13045]) ).
fof(f45694,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f45693]) ).
fof(f45696,plain,
( inverse(double_divide(a1,inverse(a1))) != double_divide(b1,inverse(b1))
| spl0_3 ),
inference(forward_demodulation,[],[f17,f23753]) ).
fof(f45697,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f45696,f14855]) ).
fof(f45698,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f45697]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f18]) ).
cnf(s14776,plain,
spl0_1,
inference(sat_conversion,[],[f44650]) ).
cnf(s14977,plain,
spl0_2,
inference(sat_conversion,[],[f45694]) ).
cnf(s14978,plain,
spl0_3,
inference(sat_conversion,[],[f45698]) ).
cnf(s14979,plain,
$false,
inference(rat,[],[s4,s14978,s14977,s14776]) ).
fof(f45699,plain,
$false,
inference(avatar_sat_refutation,[],[s14979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP083-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:21:11 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.01/1.57 % (2564808)Will run a generic schedule for satisfiability detection.
% 7.01/1.57 % (2564813)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2283363837_2999 on theBenchmark for (2999ds/0Mi)
% 7.01/1.57 % TRYING [1]
% 7.01/1.57 % TRYING [2]
% 7.01/1.57 % TRYING [3]
% 7.01/1.57 % (2564814)% WARNING: option uhcvi not known.
% 7.01/1.57 % (2564817)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1324748093:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.01/1.57 % (2564814)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2063298633:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.01/1.57 % (2564815)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2657223352:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.01/1.57 % (2564816)dis+10_1_sil=32000:sp=arity:random_seed=2902916749:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.01/1.57 % (2564819)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1418489436:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.01/1.57 % (2564818)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2523933989:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.01/1.57 % TRYING [4]
% 7.01/1.57 % (2564816)Instruction limit reached!
% 7.01/1.57 % (2564816)------------------------------
% 7.01/1.57 % (2564816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564816)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564816)Termination reason: Instruction limit
% 7.01/1.57 % (2564816)Termination phase: Saturation
% 7.01/1.57 % (2564816)Time elapsed: 0.055 s
% 7.01/1.57 % (2564816)Peak memory usage: 12 MB
% 7.01/1.57 % (2564816)Instructions burned: 104 (million)
% 7.01/1.57 % (2564817)Instruction limit reached!
% 7.01/1.57 % (2564817)------------------------------
% 7.01/1.57 % (2564817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564817)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564817)Termination reason: Instruction limit
% 7.01/1.57 % (2564817)Termination phase: Saturation
% 7.01/1.57 % (2564817)Time elapsed: 0.069 s
% 7.01/1.57 % (2564817)Peak memory usage: 13 MB
% 7.01/1.57 % (2564817)Instructions burned: 117 (million)
% 7.01/1.57 % (2564827)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3534430054:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.01/1.57 % (2564818)Instruction limit reached!
% 7.01/1.57 % (2564818)------------------------------
% 7.01/1.57 % (2564818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % TRYING [1]
% 7.01/1.57 % (2564818)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564818)Termination reason: Instruction limit
% 7.01/1.57 % (2564818)Termination phase: Saturation
% 7.01/1.57 % (2564818)Time elapsed: 0.076 s
% 7.01/1.57 % (2564818)Peak memory usage: 13 MB
% 7.01/1.57 % (2564818)Instructions burned: 131 (million)
% 7.01/1.57 % TRYING [2]
% 7.01/1.57 % TRYING [3]
% 7.01/1.57 % (2564828)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2903471768:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.01/1.57 % (2564830)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1233623621:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.01/1.57 % (2564819)Instruction limit reached!
% 7.01/1.57 % (2564819)------------------------------
% 7.01/1.57 % (2564819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564819)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564819)Termination reason: Instruction limit
% 7.01/1.57 % (2564819)Termination phase: Saturation
% 7.01/1.57 % (2564819)Time elapsed: 0.098 s
% 7.01/1.57 % (2564819)Peak memory usage: 13 MB
% 7.01/1.57 % (2564819)Instructions burned: 160 (million)
% 7.01/1.57 % TRYING [4]
% 7.01/1.57 % (2564833)ott-21_1_sil=16000:fs=off:random_seed=132104404:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.01/1.57 % (2564828)Instruction limit reached!
% 7.01/1.57 % (2564828)------------------------------
% 7.01/1.57 % (2564828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564828)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564828)Termination reason: Instruction limit
% 7.01/1.57 % (2564828)Termination phase: Saturation
% 7.01/1.57 % (2564828)Time elapsed: 0.080 s
% 7.01/1.57 % (2564828)Peak memory usage: 13 MB
% 7.01/1.57 % (2564828)Instructions burned: 131 (million)
% 7.01/1.57 % (2564835)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=455996895:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.01/1.57 % (2564833)Instruction limit reached!
% 7.01/1.57 % (2564833)------------------------------
% 7.01/1.57 % (2564833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564833)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564833)Termination reason: Instruction limit
% 7.01/1.57 % (2564833)Termination phase: Saturation
% 7.01/1.57 % (2564833)Time elapsed: 0.092 s
% 7.01/1.57 % (2564833)Peak memory usage: 12 MB
% 7.01/1.57 % (2564833)Instructions burned: 182 (million)
% 7.01/1.57 % (2564837)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1343820072:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.01/1.57 % TRYING [1]
% 7.01/1.57 % TRYING [2]
% 7.01/1.57 % TRYING [3]
% 7.01/1.57 % TRYING [4]
% 7.01/1.57 % (2564835)Instruction limit reached!
% 7.01/1.57 % (2564835)------------------------------
% 7.01/1.57 % (2564835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564835)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564835)Termination reason: Instruction limit
% 7.01/1.57 % (2564835)Termination phase: Saturation
% 7.01/1.57 % (2564835)Time elapsed: 0.236 s
% 7.01/1.57 % (2564835)Peak memory usage: 15 MB
% 7.01/1.57 % (2564835)Instructions burned: 478 (million)
% 7.01/1.57 % (2564830)Instruction limit reached!
% 7.01/1.57 % (2564830)------------------------------
% 7.01/1.57 % (2564830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564830)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564830)Termination reason: Instruction limit
% 7.01/1.57 % (2564830)Termination phase: Saturation
% 7.01/1.57 % (2564830)Time elapsed: 0.342 s
% 7.01/1.57 % (2564830)Peak memory usage: 17 MB
% 7.01/1.57 % (2564830)Instructions burned: 686 (million)
% 7.01/1.57 % (2564839)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2074299721:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.01/1.57 % (2564840)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=324209045:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.01/1.57 % TRYING [14]
% 7.01/1.57 % (2564827)Instruction limit reached!
% 7.01/1.57 % (2564827)------------------------------
% 7.01/1.57 % (2564827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564827)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564827)Termination reason: Instruction limit
% 7.01/1.57 % (2564827)Termination phase: Finite model building SAT solving
% 7.01/1.57 % (2564827)Time elapsed: 0.417 s
% 7.01/1.57 % (2564827)Peak memory usage: 13 MB
% 7.01/1.57 % (2564827)Instructions burned: 714 (million)
% 7.01/1.57 % (2564843)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4049968697:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.01/1.57 % TRYING [5]
% 7.01/1.57 % (2564837)Instruction limit reached!
% 7.01/1.57 % (2564837)------------------------------
% 7.01/1.57 % (2564837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564837)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564837)Termination reason: Instruction limit
% 7.01/1.57 % (2564837)Termination phase: Finite model building SAT solving
% 7.01/1.57 % (2564837)Time elapsed: 0.547 s
% 7.01/1.57 % (2564837)Peak memory usage: 12 MB
% 7.01/1.57 % (2564837)Instructions burned: 865 (million)
% 7.01/1.57 % (2564840)Instruction limit reached!
% 7.01/1.57 % (2564840)------------------------------
% 7.01/1.57 % (2564840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564840)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564840)Termination reason: Instruction limit
% 7.01/1.57 % (2564840)Termination phase: Finite model building constraint generation
% 7.01/1.57 % (2564840)Time elapsed: 0.318 s
% 7.01/1.57 % (2564840)Peak memory usage: 79 MB
% 7.01/1.57 % (2564840)Instructions burned: 889 (million)
% 7.01/1.57 % (2564845)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=436396732:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 7.01/1.57 % (2564846)fmb+10_1_sil=64000:random_seed=4139054068:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.01/1.57 % TRYING [1]
% 7.01/1.57 % TRYING [2]
% 7.01/1.57 % TRYING [3]
% 7.01/1.57 % TRYING [4]
% 7.01/1.57 % (2564843)Instruction limit reached!
% 7.01/1.57 % (2564843)------------------------------
% 7.01/1.57 % (2564843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564843)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564843)Termination reason: Instruction limit
% 7.01/1.57 % (2564843)Termination phase: Saturation
% 7.01/1.57 % (2564843)Time elapsed: 0.408 s
% 7.01/1.57 % (2564843)Peak memory usage: 18 MB
% 7.01/1.57 % (2564843)Instructions burned: 692 (million)
% 7.01/1.57 % (2564849)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4161105200:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.01/1.57 % TRYING [20]
% 7.01/1.57 % (2564839)Instruction limit reached!
% 7.01/1.57 % (2564839)------------------------------
% 7.01/1.57 % (2564839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564839)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564839)Termination reason: Instruction limit
% 7.01/1.57 % (2564839)Termination phase: Saturation
% 7.01/1.57 % (2564839)Time elapsed: 0.596 s
% 7.01/1.57 % (2564839)Peak memory usage: 30 MB
% 7.01/1.57 % (2564839)Instructions burned: 1180 (million)
% 7.01/1.57 % (2564851)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2851690400:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.01/1.57 % TRYING [8]
% 7.01/1.57 % (2564815) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2564808-2564815"...
% 7.01/1.57 % (2564815)...printing done.
% 7.01/1.57 % (2564815)Refutation found. Thanks to Tanya!
% 7.01/1.57 % SZS status Unsatisfiable for theBenchmark
% 7.01/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 7.01/1.57 % (2564815)------------------------------
% 7.01/1.57 % (2564815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.57 % (2564815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.57 % (2564815)CaDiCaL version: 2.1.3
% 7.01/1.57 % (2564815)Termination reason: Refutation
% 7.01/1.57 % (2564815)Time elapsed: 1.109 s
% 7.01/1.57 % (2564815)Peak memory usage: 31 MB
% 7.01/1.57 % (2564815)Instructions burned: 2172 (million)
% 7.01/1.57 % (2564808)Success in time 1.149 s
% 7.01/1.57 % Vampire exiting
%------------------------------------------------------------------------------