%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP077-1 : 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 : n017.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 10:16:36 AM UTC 2026
% Result : Unsatisfiable 0.93s 0.60s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 8
% Syntax : Number of formulae : 127 ( 106 unt; 3 def)
% Number of atoms : 153 ( 120 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 25 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 232 ( 0 sgn 232 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : double_divide(X0,identity) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f7,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f5,f4]) ).
fof(f9,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) ),
inference(definition_unfolding,[],[f7,f2,f4,f2,f2,f2,f2,f2]) ).
fof(f11,definition,
( spl0_1
<=> double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f13,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_2
<=> a2 = double_divide(double_divide(a2,identity),identity) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( a2 != double_divide(double_divide(a2,identity),identity)
| spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl0_3
<=> identity = double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f21,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f9,f19,f15,f11]) ).
fof(f23,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),identity)),
inference(superposition,[],[f1,f8]) ).
fof(f24,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X0))),X3),identity) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),X2),identity)),
inference(superposition,[],[f1,f1]) ).
fof(f25,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f8]) ).
fof(f27,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f25,f8]) ).
fof(f30,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),identity)) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(superposition,[],[f1,f25]) ).
fof(f32,plain,
! [X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(forward_demodulation,[],[f30,f23]) ).
fof(f36,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,identity)),identity)),
inference(superposition,[],[f1,f27]) ).
fof(f37,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(forward_demodulation,[],[f36,f23]) ).
fof(f44,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),identity),double_divide(X2,X0))),X2),identity),identity) = double_divide(X1,double_divide(X0,identity)),
inference(superposition,[],[f23,f1]) ).
fof(f51,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,identity)),X0),identity)),
inference(superposition,[],[f23,f37]) ).
fof(f53,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity)) = X1,
inference(superposition,[],[f1,f37]) ).
fof(f58,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
inference(forward_demodulation,[],[f51,f8]) ).
fof(f92,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,X0))),X1),identity),identity),
inference(superposition,[],[f58,f1]) ).
fof(f94,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(superposition,[],[f58,f37]) ).
fof(f98,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f94,f8]) ).
fof(f105,plain,
! [X1] : double_divide(X1,identity) = double_divide(double_divide(identity,double_divide(X1,identity)),identity),
inference(backward_demodulation,[],[f32,f98]) ).
fof(f111,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(X0,X1))),X0),identity)) = X1,
inference(backward_demodulation,[],[f53,f98]) ).
fof(f125,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(X1,X0))),X1),identity),identity),
inference(backward_demodulation,[],[f92,f98]) ).
fof(f131,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X2,X0))),X2),identity),identity),
inference(backward_demodulation,[],[f44,f105]) ).
fof(f142,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),identity)),X0)),identity) = double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),identity)),X1),identity)),
inference(superposition,[],[f24,f23]) ).
fof(f146,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(double_divide(double_divide(identity,identity),X0),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(double_divide(X2,identity),identity)))),X1),identity),
inference(superposition,[],[f24,f8]) ).
fof(f148,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X3,identity),identity),identity)),X0),identity)))),X2),identity) = double_divide(X3,double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X1),identity)),
inference(superposition,[],[f24,f23]) ).
fof(f165,plain,
! [X2,X3,X0,X1] : identity = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X1))),X3),double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),X1)),X2),identity))),
inference(superposition,[],[f8,f24]) ).
fof(f167,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(X0,X2)))),X1),identity) = X2,
inference(superposition,[],[f1,f24]) ).
fof(f171,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity),identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X3,identity),identity)),identity),X2)),X0),identity),identity),
inference(superposition,[],[f23,f24]) ).
fof(f172,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity),identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X3,identity),identity),X2)),X0),identity),identity),
inference(forward_demodulation,[],[f171,f105]) ).
fof(f180,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(double_divide(identity,X0),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(double_divide(X2,identity),identity)))),X1),identity),
inference(forward_demodulation,[],[f146,f98]) ).
fof(f182,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),identity)),X0)),identity),
inference(forward_demodulation,[],[f142,f23]) ).
fof(f216,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),identity),
inference(superposition,[],[f105,f58]) ).
fof(f219,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[],[f58,f105]) ).
fof(f248,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(X2,X0))),X2),identity),identity),
inference(backward_demodulation,[],[f131,f219]) ).
fof(f250,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X1),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X3,identity)),identity)),X0),identity)))),X2),identity),
inference(backward_demodulation,[],[f148,f219]) ).
fof(f252,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity),identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X3,identity)),X2)),X0),identity),identity),
inference(backward_demodulation,[],[f172,f219]) ).
fof(f255,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(double_divide(identity,X0),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(X2,identity))))),X1),identity),
inference(backward_demodulation,[],[f180,f219]) ).
fof(f257,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,identity)),identity)),X0)),identity),
inference(backward_demodulation,[],[f182,f219]) ).
fof(f263,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(X1,X0))),X1),identity)),
inference(backward_demodulation,[],[f125,f219]) ).
fof(f269,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(identity,X0),identity),
inference(forward_demodulation,[],[f216,f219]) ).
fof(f274,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f263,f111]) ).
fof(f278,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(double_divide(double_divide(X1,identity),identity),X0)),identity),
inference(forward_demodulation,[],[f257,f58]) ).
fof(f279,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity),identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X3,identity)),X2)),X0),identity)),
inference(forward_demodulation,[],[f252,f219]) ).
fof(f280,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X1),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,double_divide(double_divide(double_divide(double_divide(X3,identity),identity),X0),identity)))),X2),identity),
inference(forward_demodulation,[],[f250,f58]) ).
fof(f281,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(X2,X0))),X2),identity)),
inference(forward_demodulation,[],[f248,f219]) ).
fof(f294,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(X2,identity))))),X1),identity) = double_divide(X2,double_divide(identity,double_divide(X0,identity))),
inference(backward_demodulation,[],[f255,f269]) ).
fof(f295,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(identity,double_divide(X0,identity))),
inference(backward_demodulation,[],[f58,f269]) ).
fof(f312,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f219,f274]) ).
fof(f329,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,identity),identity),X0)),identity),
inference(forward_demodulation,[],[f278,f274]) ).
fof(f330,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity),identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X3,identity)),X2)),X0),
inference(forward_demodulation,[],[f279,f274]) ).
fof(f331,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,double_divide(double_divide(double_divide(double_divide(X3,identity),identity),X0),identity)))),X2),identity) = double_divide(X3,double_divide(double_divide(X0,X1),identity)),
inference(forward_demodulation,[],[f280,f274]) ).
fof(f332,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(X2,X0))),X2),
inference(forward_demodulation,[],[f281,f274]) ).
fof(f346,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f295,f274]) ).
fof(f347,plain,
! [X2,X0,X1] : double_divide(X2,X0) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(X2,identity))))),X1),identity),
inference(forward_demodulation,[],[f294,f274]) ).
fof(f361,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,double_divide(X1,X0)),identity),
inference(forward_demodulation,[],[f329,f312]) ).
fof(f362,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity),identity)) = double_divide(double_divide(identity,double_divide(X3,X2)),X0),
inference(forward_demodulation,[],[f330,f274]) ).
fof(f363,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,X1),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,double_divide(double_divide(X3,X0),identity)))),X2),identity),
inference(forward_demodulation,[],[f331,f312]) ).
fof(f364,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(X1,double_divide(X2,X0))),X2),
inference(forward_demodulation,[],[f332,f274]) ).
fof(f375,plain,
! [X2,X0,X1] : double_divide(X2,X0) = double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(X2,identity))))),X1)),
inference(forward_demodulation,[],[f347,f346]) ).
fof(f387,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(identity,double_divide(X0,double_divide(X1,X0))),
inference(forward_demodulation,[],[f361,f346]) ).
fof(f388,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(X3,X2)),X0) = double_divide(X3,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity))),
inference(forward_demodulation,[],[f362,f346]) ).
fof(f389,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,X1),identity)) = double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X2,double_divide(double_divide(X3,X0),identity)))),X2)),
inference(forward_demodulation,[],[f363,f346]) ).
fof(f394,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),X2),identity)) = double_divide(double_divide(double_divide(X2,identity),double_divide(X0,identity)),identity),
inference(backward_demodulation,[],[f24,f364]) ).
fof(f398,plain,
! [X2,X0,X1] : identity = double_divide(double_divide(double_divide(X2,identity),double_divide(X1,identity)),double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),X1)),X2),identity))),
inference(backward_demodulation,[],[f165,f364]) ).
fof(f403,plain,
! [X2,X0] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X0,X2),identity)),identity) = X2,
inference(backward_demodulation,[],[f167,f364]) ).
fof(f414,plain,
! [X2,X0] : double_divide(X2,X0) = double_divide(identity,double_divide(double_divide(X0,identity),double_divide(double_divide(identity,double_divide(X2,identity)),identity))),
inference(forward_demodulation,[],[f375,f364]) ).
fof(f423,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(X3,X2)),X0) = double_divide(X3,double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1)),
inference(forward_demodulation,[],[f388,f274]) ).
fof(f424,plain,
! [X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,X1),identity)) = double_divide(identity,double_divide(double_divide(X1,identity),double_divide(double_divide(double_divide(X3,X0),identity),identity))),
inference(forward_demodulation,[],[f389,f364]) ).
fof(f430,plain,
! [X2,X0] : double_divide(identity,double_divide(double_divide(X0,identity),double_divide(double_divide(X0,X2),identity))) = X2,
inference(forward_demodulation,[],[f403,f346]) ).
fof(f434,plain,
! [X2,X0,X1] : identity = double_divide(double_divide(double_divide(X2,identity),double_divide(X1,identity)),double_divide(X0,double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X0,identity),X1)),X2)))),
inference(forward_demodulation,[],[f398,f346]) ).
fof(f438,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),X2),identity)) = double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X0,identity))),
inference(forward_demodulation,[],[f394,f346]) ).
fof(f447,plain,
! [X2,X0] : double_divide(X2,X0) = double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,double_divide(identity,double_divide(X2,identity))))),
inference(forward_demodulation,[],[f414,f346]) ).
fof(f454,plain,
! [X2,X3,X0] : double_divide(double_divide(identity,double_divide(X3,X2)),X0) = double_divide(X3,double_divide(double_divide(X0,identity),double_divide(X2,identity))),
inference(forward_demodulation,[],[f423,f364]) ).
fof(f455,plain,
! [X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,X1),identity)) = double_divide(identity,double_divide(double_divide(X1,identity),double_divide(identity,double_divide(double_divide(X3,X0),identity)))),
inference(forward_demodulation,[],[f424,f346]) ).
fof(f459,plain,
! [X2,X0] : double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,X2)))) = X2,
inference(forward_demodulation,[],[f430,f346]) ).
fof(f466,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X0,identity))) = double_divide(X1,double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),X2))),
inference(forward_demodulation,[],[f438,f346]) ).
fof(f470,plain,
! [X2,X0] : double_divide(X2,X0) = double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X2,identity))),
inference(forward_demodulation,[],[f447,f387]) ).
fof(f479,plain,
! [X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,X1),identity)) = double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X3,X0))),
inference(forward_demodulation,[],[f455,f274]) ).
fof(f486,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),X2))) = double_divide(double_divide(identity,double_divide(identity,X0)),X2),
inference(forward_demodulation,[],[f466,f454]) ).
fof(f488,plain,
! [X2,X0] : double_divide(X2,X0) = double_divide(double_divide(identity,double_divide(identity,X2)),X0),
inference(forward_demodulation,[],[f470,f454]) ).
fof(f495,plain,
! [X3,X0,X1] : double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X3,X0))) = double_divide(X3,double_divide(identity,double_divide(X0,X1))),
inference(forward_demodulation,[],[f479,f346]) ).
fof(f503,plain,
! [X2,X1] : identity = double_divide(double_divide(double_divide(X2,identity),double_divide(X1,identity)),double_divide(double_divide(identity,double_divide(identity,X1)),X2)),
inference(backward_demodulation,[],[f434,f486]) ).
fof(f505,plain,
! [X2,X0,X1] : double_divide(X0,X2) = double_divide(X1,double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),X2))),
inference(backward_demodulation,[],[f486,f488]) ).
fof(f514,plain,
! [X2,X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,X2),X0))) = X2,
inference(backward_demodulation,[],[f459,f495]) ).
fof(f517,plain,
! [X2,X1] : identity = double_divide(double_divide(double_divide(X2,identity),double_divide(X1,identity)),double_divide(X1,X2)),
inference(forward_demodulation,[],[f503,f488]) ).
fof(f539,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),X1))),
inference(superposition,[],[f505,f98]) ).
fof(f554,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(identity,double_divide(identity,double_divide(X0,X1))),
inference(forward_demodulation,[],[f539,f488]) ).
fof(f562,plain,
! [X2,X0] : double_divide(double_divide(X0,X2),X0) = X2,
inference(backward_demodulation,[],[f514,f554]) ).
fof(f584,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f562,f562]) ).
fof(f611,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(identity,X0),X1),
inference(superposition,[],[f488,f584]) ).
fof(f629,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X1,identity),double_divide(X0,identity)),
inference(superposition,[],[f584,f517]) ).
fof(f632,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(X0,identity)) = double_divide(identity,double_divide(X0,X1)),
inference(forward_demodulation,[],[f629,f346]) ).
fof(f644,plain,
! [X2,X3,X0] : double_divide(double_divide(identity,double_divide(X3,X2)),X0) = double_divide(X3,double_divide(identity,double_divide(X2,X0))),
inference(backward_demodulation,[],[f454,f632]) ).
fof(f650,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(X1,double_divide(identity,double_divide(double_divide(X2,X0),X2))),
inference(backward_demodulation,[],[f364,f644]) ).
fof(f675,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(X1,double_divide(identity,X0)),
inference(forward_demodulation,[],[f650,f562]) ).
fof(f696,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(double_divide(c3,b3),identity),a3))
| spl0_1 ),
inference(superposition,[],[f13,f346]) ).
fof(f702,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3))
| spl0_1 ),
inference(forward_demodulation,[],[f696,f611]) ).
fof(f704,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| spl0_1 ),
inference(forward_demodulation,[],[f702,f644]) ).
fof(f706,plain,
( double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity)))
| spl0_1 ),
inference(forward_demodulation,[],[f704,f346]) ).
fof(f710,plain,
( double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| spl0_1 ),
inference(forward_demodulation,[],[f706,f675]) ).
fof(f711,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f710]) ).
fof(f712,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f714,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f17,f312]) ).
fof(f715,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f719,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| spl0_3 ),
inference(forward_demodulation,[],[f21,f346]) ).
fof(f720,plain,
( identity != double_divide(identity,identity)
| spl0_3 ),
inference(forward_demodulation,[],[f719,f8]) ).
fof(f721,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f720,f98]) ).
fof(f722,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f721]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f712]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f715]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f722]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4,s3]) ).
fof(f723,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP077-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % 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 09:13:35 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
% 0.93/0.60 % (2276882)Will run a generic schedule for satisfiability detection.
% 0.93/0.60 % (2276888)% WARNING: option uhcvi not known.
% 0.93/0.60 % (2276887)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=284205084_2999 on theBenchmark for (2999ds/0Mi)
% 0.93/0.60 % (2276888)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=829615645:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.93/0.60 % (2276889)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2418803148:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.93/0.60 % (2276890)dis+10_1_sil=32000:sp=arity:random_seed=1951651772:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.93/0.60 % (2276892)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3141811351:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.93/0.60 % (2276891)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3878743944:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.93/0.60 % (2276893)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1765186395:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.93/0.60 % TRYING [1]
% 0.93/0.60 % TRYING [2]
% 0.93/0.60 % TRYING [3]
% 0.93/0.60 % TRYING [4]
% 0.93/0.60 % TRYING [5]
% 0.93/0.60 % (2276890)Instruction limit reached!
% 0.93/0.60 % (2276890)------------------------------
% 0.93/0.60 % (2276890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.60 % (2276890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.60 % (2276890)CaDiCaL version: 2.1.3
% 0.93/0.60 % (2276890)Termination reason: Instruction limit
% 0.93/0.60 % (2276890)Termination phase: Saturation
% 0.93/0.60 % (2276890)Time elapsed: 0.055 s
% 0.93/0.60 % (2276890)Peak memory usage: 12 MB
% 0.93/0.60 % (2276890)Instructions burned: 104 (million)
% 0.93/0.60 % (2276891)Instruction limit reached!
% 0.93/0.60 % (2276891)------------------------------
% 0.93/0.60 % (2276891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.60 % (2276891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.60 % (2276891)CaDiCaL version: 2.1.3
% 0.93/0.60 % (2276891)Termination reason: Instruction limit
% 0.93/0.60 % (2276891)Termination phase: Saturation
% 0.93/0.60 % (2276891)Time elapsed: 0.068 s
% 0.93/0.60 % (2276891)Peak memory usage: 13 MB
% 0.93/0.60 % (2276891)Instructions burned: 118 (million)
% 0.93/0.60 % (2276892)Instruction limit reached!
% 0.93/0.60 % (2276892)------------------------------
% 0.93/0.60 % (2276892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.60 % (2276892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.60 % (2276892)CaDiCaL version: 2.1.3
% 0.93/0.60 % (2276892)Termination reason: Instruction limit
% 0.93/0.60 % (2276892)Termination phase: Saturation
% 0.93/0.60 % (2276892)Time elapsed: 0.076 s
% 0.93/0.60 % (2276892)Peak memory usage: 12 MB
% 0.93/0.60 % (2276892)Instructions burned: 132 (million)
% 0.93/0.60 % (2276901)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=916135483:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.93/0.60 % TRYING [1]
% 0.93/0.60 % TRYING [2]
% 0.93/0.60 % TRYING [3]
% 0.93/0.60 % TRYING [4]
% 0.93/0.60 % (2276902)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2021421467:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.93/0.60 % (2276903)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=2061453683:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.93/0.60 % (2276893)Instruction limit reached!
% 0.93/0.60 % (2276893)------------------------------
% 0.93/0.60 % (2276893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.60 % (2276893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.60 % (2276893)CaDiCaL version: 2.1.3
% 0.93/0.60 % (2276893)Termination reason: Instruction limit
% 0.93/0.60 % (2276893)Termination phase: Saturation
% 0.93/0.60 % (2276893)Time elapsed: 0.097 s
% 0.93/0.60 % (2276893)Peak memory usage: 13 MB
% 0.93/0.60 % (2276893)Instructions burned: 160 (million)
% 0.93/0.60 % (2276907)ott-21_1_sil=16000:fs=off:random_seed=3278705827:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.93/0.60 % TRYING [5]
% 0.93/0.60 % (2276902) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2276882-2276902"...
% 0.93/0.60 % (2276902)...printing done.
% 0.93/0.60 % (2276902)Refutation found. Thanks to Tanya!
% 0.93/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.93/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.93/0.61 % (2276902)------------------------------
% 0.93/0.61 % (2276902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.61 % (2276902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.61 % (2276902)CaDiCaL version: 2.1.3
% 0.93/0.61 % (2276902)Termination reason: Refutation
% 0.93/0.61 % (2276902)Time elapsed: 0.049 s
% 0.93/0.61 % (2276902)Peak memory usage: 13 MB
% 0.93/0.61 % (2276902)Instructions burned: 77 (million)
% 0.93/0.61 % (2276882)Success in time 0.18 s
% 0.93/0.61 % Vampire exiting
%------------------------------------------------------------------------------