%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP080-1 : 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 : n012.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 2.55s 0.80s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 8
% Syntax : Number of formulae : 104 ( 80 unt; 3 def)
% Number of atoms : 133 ( 97 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 28 ~; 26 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 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 : 161 ( 0 sgn 161 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),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,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,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(f6,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,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,[],[f6,f2,f3,f2,f2,f2,f2,f2]) ).
fof(f10,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(f12,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,[],[f10]) ).
fof(f14,definition,
( spl0_2
<=> a2 = double_divide(double_divide(a2,identity),identity) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f16,plain,
( a2 != double_divide(double_divide(a2,identity),identity)
| spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f18,definition,
( spl0_3
<=> identity = double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f20,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f21,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f8,f18,f14,f10]) ).
fof(f22,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X2,double_divide(X0,X1)),double_divide(X3,double_divide(identity,double_divide(X1,double_divide(X2,identity))))),identity)) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f24,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f26,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f27,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X0,X1)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),identity))),double_divide(X0,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f29,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f7,f1]) ).
fof(f30,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(forward_demodulation,[],[f26,f29]) ).
fof(f31,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(forward_demodulation,[],[f22,f29]) ).
fof(f40,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X0),
inference(superposition,[],[f7,f30]) ).
fof(f50,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
inference(superposition,[],[f31,f30]) ).
fof(f51,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f31,f31]) ).
fof(f75,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)),
inference(superposition,[],[f1,f40]) ).
fof(f129,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(superposition,[],[f51,f51]) ).
fof(f137,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity)),
inference(superposition,[],[f51,f40]) ).
fof(f140,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X1)),X0)) = X2,
inference(superposition,[],[f31,f51]) ).
fof(f143,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,X0)),
inference(superposition,[],[f7,f51]) ).
fof(f156,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity))),
inference(forward_demodulation,[],[f137,f50]) ).
fof(f166,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f156,f140]) ).
fof(f175,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)) = X0,
inference(superposition,[],[f1,f143]) ).
fof(f176,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X0),identity))) = X0,
inference(forward_demodulation,[],[f175,f75]) ).
fof(f182,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(forward_demodulation,[],[f176,f50]) ).
fof(f235,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(X2,double_divide(identity,double_divide(X1,double_divide(X0,identity))))),identity)) = X2,
inference(superposition,[],[f23,f29]) ).
fof(f251,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X0,double_divide(X0,identity))))),identity)) = X1,
inference(superposition,[],[f23,f143]) ).
fof(f260,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X1,identity)) = double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,double_divide(X0,X2)),identity),identity)),
inference(superposition,[],[f23,f143]) ).
fof(f263,plain,
! [X2,X0,X1] : identity = double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(double_divide(X1,double_divide(identity,X2)),double_divide(X0,double_divide(identity,double_divide(X2,double_divide(X1,identity))))),identity),identity)),
inference(superposition,[],[f24,f23]) ).
fof(f265,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X2,identity))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X1),identity))),double_divide(X0,identity)),
inference(superposition,[],[f1,f23]) ).
fof(f268,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X2,identity))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X1,identity)))),double_divide(X0,identity)),
inference(forward_demodulation,[],[f265,f50]) ).
fof(f270,plain,
! [X2,X0,X1] : identity = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(identity,X2)),double_divide(X0,double_divide(identity,double_divide(X2,double_divide(X1,identity))))),identity))),
inference(forward_demodulation,[],[f263,f166]) ).
fof(f272,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X1,identity)) = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(X1,double_divide(X0,X2)),identity))),
inference(forward_demodulation,[],[f260,f166]) ).
fof(f281,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X0,double_divide(X0,identity))))))) = X1,
inference(forward_demodulation,[],[f251,f166]) ).
fof(f297,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(X2,double_divide(identity,double_divide(X1,double_divide(X0,identity))))))) = X2,
inference(forward_demodulation,[],[f235,f166]) ).
fof(f301,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X2,identity))))),
inference(forward_demodulation,[],[f268,f182]) ).
fof(f302,plain,
! [X2,X0,X1] : identity = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,double_divide(double_divide(X1,double_divide(identity,X2)),double_divide(X0,double_divide(identity,double_divide(X2,double_divide(X1,identity)))))))),
inference(forward_demodulation,[],[f270,f166]) ).
fof(f304,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X1,identity)) = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X0,X2))))),
inference(forward_demodulation,[],[f272,f166]) ).
fof(f308,plain,
! [X1] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(X1,double_divide(identity,identity))))) = X1,
inference(forward_demodulation,[],[f281,f7]) ).
fof(f321,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(forward_demodulation,[],[f302,f297]) ).
fof(f322,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = X1,
inference(forward_demodulation,[],[f308,f304]) ).
fof(f341,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f321,f166]) ).
fof(f358,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)),
inference(superposition,[],[f1,f321]) ).
fof(f359,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(identity,double_divide(X1,identity))),
inference(forward_demodulation,[],[f358,f166]) ).
fof(f372,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),X1),
inference(forward_demodulation,[],[f359,f322]) ).
fof(f392,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f322,f166]) ).
fof(f434,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(double_divide(double_divide(identity,identity),double_divide(X1,X0)),identity)) = X1,
inference(superposition,[],[f1,f341]) ).
fof(f458,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,X0)))) = X1,
inference(forward_demodulation,[],[f434,f166]) ).
fof(f470,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(identity,double_divide(identity,double_divide(X1,X0)))) = X1,
inference(forward_demodulation,[],[f458,f29]) ).
fof(f480,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f470,f392]) ).
fof(f488,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f480,f322]) ).
fof(f532,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f488,f488]) ).
fof(f584,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X2,identity))))),identity),
inference(superposition,[],[f532,f23]) ).
fof(f608,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(X3,double_divide(X2,identity))),X0) = double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,double_divide(X1,X3)),X0),identity)),
inference(superposition,[],[f23,f532]) ).
fof(f613,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(X3,double_divide(X2,identity))),X0) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(X2,double_divide(X1,X3)),X0))),
inference(forward_demodulation,[],[f608,f166]) ).
fof(f627,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(identity,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(X0,double_divide(identity,double_divide(X3,double_divide(X2,identity)))))),
inference(forward_demodulation,[],[f584,f166]) ).
fof(f637,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(X0,identity))) = double_divide(X0,double_divide(identity,X1)),
inference(forward_demodulation,[],[f627,f301]) ).
fof(f1051,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,X2),double_divide(double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(X3,double_divide(identity,double_divide(X0,double_divide(X1,X0))))),identity)) = X3,
inference(superposition,[],[f23,f129]) ).
fof(f1084,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,X2),double_divide(identity,double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(X3,double_divide(identity,double_divide(X0,double_divide(X1,X0))))))) = X3,
inference(forward_demodulation,[],[f1051,f166]) ).
fof(f1149,plain,
! [X3,X0,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),double_divide(X3,double_divide(identity,double_divide(X0,double_divide(X1,X0))))) = X3,
inference(forward_demodulation,[],[f1084,f613]) ).
fof(f1190,plain,
! [X3,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),double_divide(X3,double_divide(identity,X1))) = X3,
inference(forward_demodulation,[],[f1149,f488]) ).
fof(f1208,plain,
! [X3,X1] : double_divide(double_divide(X1,identity),double_divide(X3,double_divide(identity,X1))) = X3,
inference(forward_demodulation,[],[f1190,f392]) ).
fof(f2388,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[],[f1208,f532]) ).
fof(f2426,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
inference(superposition,[],[f532,f1208]) ).
fof(f2577,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity)
| spl0_1 ),
inference(superposition,[],[f12,f2388]) ).
fof(f2622,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),double_divide(X0,identity)) = X1,
inference(superposition,[],[f532,f2388]) ).
fof(f2759,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,[],[f2577,f166]) ).
fof(f2843,plain,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity)))
| spl0_1 ),
inference(forward_demodulation,[],[f2759,f166]) ).
fof(f2882,plain,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2843,f637]) ).
fof(f2897,plain,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity))
| spl0_1 ),
inference(forward_demodulation,[],[f2882,f2426]) ).
fof(f3030,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,identity)) = double_divide(double_divide(identity,X0),double_divide(identity,X1)),
inference(superposition,[],[f2388,f2426]) ).
fof(f3774,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(identity,double_divide(double_divide(identity,X1),X0)),
inference(superposition,[],[f372,f2622]) ).
fof(f3993,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,X2)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X2,X0)),identity))),double_divide(X1,identity)),
inference(superposition,[],[f27,f532]) ).
fof(f4156,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,X2)) = double_divide(double_divide(double_divide(identity,double_divide(X2,X0)),identity),double_divide(X1,identity)),
inference(forward_demodulation,[],[f3993,f392]) ).
fof(f4232,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,X2)) = double_divide(double_divide(identity,double_divide(identity,double_divide(X2,X0))),double_divide(identity,X1)),
inference(forward_demodulation,[],[f4156,f3030]) ).
fof(f4303,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,X2)) = double_divide(double_divide(X2,X0),double_divide(identity,X1)),
inference(forward_demodulation,[],[f4232,f392]) ).
fof(f18437,plain,
( double_divide(double_divide(b3,a3),double_divide(c3,identity)) != double_divide(double_divide(identity,a3),double_divide(c3,b3))
| spl0_1 ),
inference(superposition,[],[f2897,f3774]) ).
fof(f18601,plain,
( double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity))
| spl0_1 ),
inference(forward_demodulation,[],[f18437,f4303]) ).
fof(f18712,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f18601,f2426]) ).
fof(f18713,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f18712]) ).
fof(f18902,plain,
( a2 != double_divide(identity,double_divide(a2,identity))
| spl0_2 ),
inference(forward_demodulation,[],[f16,f166]) ).
fof(f18904,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f18902,f488]) ).
fof(f18905,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f18904]) ).
fof(f18911,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| spl0_3 ),
inference(forward_demodulation,[],[f20,f166]) ).
fof(f18912,plain,
( identity != double_divide(a1,double_divide(identity,a1))
| spl0_3 ),
inference(forward_demodulation,[],[f18911,f637]) ).
fof(f18913,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f18912,f488]) ).
fof(f18914,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f18913]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f21]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f18713]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f18905]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f18914]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4,s3]) ).
fof(f18915,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP080-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 09:18:04 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.33 Running first-order model finding
% 0.04/0.33 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
% 2.55/0.80 % (2105833)Will run a generic schedule for satisfiability detection.
% 2.55/0.80 % (2105839)% WARNING: option uhcvi not known.
% 2.55/0.80 % (2105838)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2542184194_2999 on theBenchmark for (2999ds/0Mi)
% 2.55/0.80 % (2105839)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=372511391:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.55/0.80 % (2105840)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2881892158:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.55/0.80 % (2105841)dis+10_1_sil=32000:sp=arity:random_seed=2633810645:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.55/0.80 % (2105842)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2516403233:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.55/0.80 % (2105843)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3469046105:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.55/0.80 % (2105844)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3826142945:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.55/0.80 % TRYING [1]
% 2.55/0.80 % TRYING [2]
% 2.55/0.80 % TRYING [3]
% 2.55/0.80 % TRYING [4]
% 2.55/0.80 % TRYING [5]
% 2.55/0.80 % (2105841)Instruction limit reached!
% 2.55/0.80 % (2105841)------------------------------
% 2.55/0.80 % (2105841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105841)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105841)Termination reason: Instruction limit
% 2.55/0.80 % (2105841)Termination phase: Saturation
% 2.55/0.80 % (2105841)Time elapsed: 0.030 s
% 2.55/0.80 % (2105841)Peak memory usage: 12 MB
% 2.55/0.80 % (2105841)Instructions burned: 104 (million)
% 2.55/0.80 % (2105842)Instruction limit reached!
% 2.55/0.80 % (2105842)------------------------------
% 2.55/0.80 % (2105842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105842)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105842)Termination reason: Instruction limit
% 2.55/0.80 % (2105842)Termination phase: Saturation
% 2.55/0.80 % (2105842)Time elapsed: 0.038 s
% 2.55/0.80 % (2105842)Peak memory usage: 12 MB
% 2.55/0.80 % (2105842)Instructions burned: 118 (million)
% 2.55/0.80 % (2105852)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2499713136:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.55/0.80 % TRYING [1]
% 2.55/0.80 % TRYING [2]
% 2.55/0.80 % TRYING [3]
% 2.55/0.80 % (2105843)Instruction limit reached!
% 2.55/0.80 % (2105843)------------------------------
% 2.55/0.80 % (2105843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105843)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105843)Termination reason: Instruction limit
% 2.55/0.80 % (2105843)Termination phase: Saturation
% 2.55/0.80 % (2105843)Time elapsed: 0.043 s
% 2.55/0.80 % (2105843)Peak memory usage: 12 MB
% 2.55/0.80 % (2105843)Instructions burned: 134 (million)
% 2.55/0.80 % TRYING [4]
% 2.55/0.80 % (2105853)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=331948521:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.55/0.80 % (2105844)Instruction limit reached!
% 2.55/0.80 % (2105844)------------------------------
% 2.55/0.80 % (2105844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105844)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105844)Termination reason: Instruction limit
% 2.55/0.80 % (2105844)Termination phase: Saturation
% 2.55/0.80 % (2105844)Time elapsed: 0.051 s
% 2.55/0.80 % (2105844)Peak memory usage: 12 MB
% 2.55/0.80 % (2105844)Instructions burned: 161 (million)
% 2.55/0.80 % (2105855)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=1334715862:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.55/0.80 % TRYING [6]
% 2.55/0.80 % (2105857)ott-21_1_sil=16000:fs=off:random_seed=3020876540:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/0.80 % TRYING [5]
% 2.55/0.80 % (2105853)Instruction limit reached!
% 2.55/0.80 % (2105853)------------------------------
% 2.55/0.80 % (2105853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105853)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105853)Termination reason: Instruction limit
% 2.55/0.80 % (2105853)Termination phase: Saturation
% 2.55/0.80 % (2105853)Time elapsed: 0.043 s
% 2.55/0.80 % (2105853)Peak memory usage: 13 MB
% 2.55/0.80 % (2105853)Instructions burned: 134 (million)
% 2.55/0.80 % (2105860)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3237184477:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.55/0.80 % (2105857)Instruction limit reached!
% 2.55/0.80 % (2105857)------------------------------
% 2.55/0.80 % (2105857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105857)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105857)Termination reason: Instruction limit
% 2.55/0.80 % (2105857)Termination phase: Saturation
% 2.55/0.80 % (2105857)Time elapsed: 0.047 s
% 2.55/0.80 % (2105857)Peak memory usage: 12 MB
% 2.55/0.80 % (2105857)Instructions burned: 182 (million)
% 2.55/0.80 % (2105862)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1738939274:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.55/0.80 % TRYING [1]
% 2.55/0.80 % TRYING [2]
% 2.55/0.80 % TRYING [3]
% 2.55/0.80 % TRYING [4]
% 2.55/0.80 % TRYING [5]
% 2.55/0.80 % TRYING [6]
% 2.55/0.80 % TRYING [6]
% 2.55/0.80 % (2105860)Instruction limit reached!
% 2.55/0.80 % (2105860)------------------------------
% 2.55/0.80 % (2105860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105860)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105860)Termination reason: Instruction limit
% 2.55/0.80 % (2105860)Termination phase: Saturation
% 2.55/0.80 % (2105860)Time elapsed: 0.138 s
% 2.55/0.80 % (2105860)Peak memory usage: 15 MB
% 2.55/0.80 % (2105860)Instructions burned: 479 (million)
% 2.55/0.80 % (2105855)Instruction limit reached!
% 2.55/0.80 % (2105855)------------------------------
% 2.55/0.80 % (2105855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105855)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105855)Termination reason: Instruction limit
% 2.55/0.80 % (2105855)Termination phase: Saturation
% 2.55/0.80 % (2105855)Time elapsed: 0.195 s
% 2.55/0.80 % (2105855)Peak memory usage: 17 MB
% 2.55/0.80 % (2105855)Instructions burned: 687 (million)
% 2.55/0.80 % (2105864)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2230220961:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.55/0.80 % (2105865)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3615810453:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.55/0.80 % (2105852)Instruction limit reached!
% 2.55/0.80 % (2105852)------------------------------
% 2.55/0.80 % (2105852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105852)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105852)Termination reason: Instruction limit
% 2.55/0.80 % (2105852)Termination phase: Finite model building SAT solving
% 2.55/0.80 % (2105852)Time elapsed: 0.225 s
% 2.55/0.80 % (2105852)Peak memory usage: 17 MB
% 2.55/0.80 % (2105852)Instructions burned: 715 (million)
% 2.55/0.80 % TRYING [14]
% 2.55/0.80 % (2105868)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=2959713061:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.55/0.80 % (2105862)Instruction limit reached!
% 2.55/0.80 % (2105862)------------------------------
% 2.55/0.80 % (2105862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105862)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105862)Termination reason: Instruction limit
% 2.55/0.80 % (2105862)Termination phase: Finite model building SAT solving
% 2.55/0.80 % (2105862)Time elapsed: 0.233 s
% 2.55/0.80 % (2105862)Peak memory usage: 14 MB
% 2.55/0.80 % (2105862)Instructions burned: 866 (million)
% 2.55/0.80 % (2105870)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3802235795:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 2.55/0.80 % (2105865)Instruction limit reached!
% 2.55/0.80 % (2105865)------------------------------
% 2.55/0.80 % (2105865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105865)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105865)Termination reason: Instruction limit
% 2.55/0.80 % (2105865)Termination phase: Finite model building constraint generation
% 2.55/0.80 % (2105865)Time elapsed: 0.181 s
% 2.55/0.80 % (2105865)Peak memory usage: 79 MB
% 2.55/0.80 % (2105865)Instructions burned: 890 (million)
% 2.55/0.80 % (2105868) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2105833-2105868"...
% 2.55/0.80 % (2105868)...printing done.
% 2.55/0.80 % (2105868)Refutation found. Thanks to Tanya!
% 2.55/0.80 % SZS status Unsatisfiable for theBenchmark
% 2.55/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/0.80 % (2105868)------------------------------
% 2.55/0.80 % (2105868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.80 % (2105868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.80 % (2105868)CaDiCaL version: 2.1.3
% 2.55/0.80 % (2105868)Termination reason: Refutation
% 2.55/0.80 % (2105868)Time elapsed: 0.168 s
% 2.55/0.80 % (2105868)Peak memory usage: 16 MB
% 2.55/0.80 % (2105868)Instructions burned: 539 (million)
% 2.55/0.80 % (2105833)Success in time 0.472 s
% 2.55/0.80 % Vampire exiting
%------------------------------------------------------------------------------