%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP080-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 10:12:32 AM UTC 2026
% Result : Unsatisfiable 4.36s 1.57s
% Output : Refutation 5.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 8
% Syntax : Number of formulae : 118 ( 80 unt; 3 def)
% Number of atoms : 161 ( 111 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 42 ~; 40 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 142 ( 0 sgn 142 !; 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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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(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(f32,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(double_divide(identity,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[],[f1,f29]) ).
fof(f36,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
inference(superposition,[],[f30,f30]) ).
fof(f40,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X0),
inference(superposition,[],[f7,f30]) ).
fof(f45,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(backward_demodulation,[],[f30,f36]) ).
fof(f53,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f31,f31]) ).
fof(f66,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(X0,identity),double_divide(X1,identity)),identity)) = X1,
inference(superposition,[],[f1,f45]) ).
fof(f82,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(X1,X0),identity))),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f40]) ).
fof(f83,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,double_divide(double_divide(X0,identity),identity)),
inference(superposition,[],[f31,f40]) ).
fof(f84,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(f87,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
inference(backward_demodulation,[],[f45,f83]) ).
fof(f90,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(X1,X0),identity))),identity))),identity) = X1,
inference(forward_demodulation,[],[f82,f29]) ).
fof(f98,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(X1,X0),identity),identity))))),identity) = X1,
inference(forward_demodulation,[],[f90,f36]) ).
fof(f102,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(X1,X0),identity)))))),identity) = X1,
inference(forward_demodulation,[],[f98,f83]) ).
fof(f105,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,X0))),identity) = X1,
inference(forward_demodulation,[],[f102,f87]) ).
fof(f107,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,X0)) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f87,f31]) ).
fof(f120,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(superposition,[],[f53,f53]) ).
fof(f122,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f53,f7]) ).
fof(f128,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity)),
inference(superposition,[],[f53,f40]) ).
fof(f129,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X1)),X0)) = X2,
inference(superposition,[],[f31,f53]) ).
fof(f130,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1,
inference(superposition,[],[f87,f53]) ).
fof(f133,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,X0))),double_divide(double_divide(X1,double_divide(X2,identity)),identity)) = X2,
inference(superposition,[],[f1,f53]) ).
fof(f146,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity))))),
inference(forward_demodulation,[],[f128,f107]) ).
fof(f151,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(identity,double_divide(X1,identity))),
inference(backward_demodulation,[],[f84,f122]) ).
fof(f156,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f146,f130]) ).
fof(f376,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(identity,identity))),X0) = X1,
inference(superposition,[],[f1,f105]) ).
fof(f387,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),identity)),X0) = X1,
inference(forward_demodulation,[],[f376,f29]) ).
fof(f1058,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,X2),X0)),X1) = X2,
inference(superposition,[],[f387,f120]) ).
fof(f1059,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,X1))),X0) = X1,
inference(superposition,[],[f387,f107]) ).
fof(f1413,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(X1,identity)),identity)) = X1,
inference(superposition,[],[f66,f122]) ).
fof(f1420,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,X2))) = double_divide(X1,double_divide(double_divide(double_divide(X1,identity),X0),identity)),
inference(superposition,[],[f66,f105]) ).
fof(f1427,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X0,identity)),
inference(superposition,[],[f66,f66]) ).
fof(f1453,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(X0,X1)),X2) = double_divide(double_divide(double_divide(X2,identity),double_divide(X0,identity)),identity),
inference(superposition,[],[f1058,f66]) ).
fof(f1474,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(X0,X1)),X2) = double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X0,identity))),
inference(forward_demodulation,[],[f1453,f156]) ).
fof(f1498,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(X0,identity)),
inference(forward_demodulation,[],[f1427,f156]) ).
fof(f1504,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,X2))) = double_divide(X1,double_divide(identity,double_divide(double_divide(X1,identity),X0))),
inference(forward_demodulation,[],[f1420,f156]) ).
fof(f1508,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(X1,identity)))) = X1,
inference(forward_demodulation,[],[f1413,f156]) ).
fof(f1529,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,double_divide(X1,X0)),identity)) = X1,
inference(backward_demodulation,[],[f32,f1498]) ).
fof(f1537,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,double_divide(X1,identity)))) = X1,
inference(forward_demodulation,[],[f1508,f1498]) ).
fof(f1552,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,double_divide(identity,double_divide(X1,X0)))) = X1,
inference(forward_demodulation,[],[f1529,f156]) ).
fof(f1600,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f1552,f130]) ).
fof(f1615,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),X1) = double_divide(identity,double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f1059,f1552]) ).
fof(f1627,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,double_divide(X2,X1))))),X0) = X2,
inference(superposition,[],[f129,f1552]) ).
fof(f1630,plain,
! [X2,X1] : double_divide(X1,double_divide(X2,X1)) = X2,
inference(forward_demodulation,[],[f1627,f1059]) ).
fof(f1643,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X0,X1)) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),identity),double_divide(X0,identity)))),
inference(backward_demodulation,[],[f27,f1615]) ).
fof(f1680,plain,
! [X1] : double_divide(identity,double_divide(identity,X1)) = X1,
inference(backward_demodulation,[],[f130,f1630]) ).
fof(f1682,plain,
! [X2,X1] : double_divide(double_divide(identity,X1),double_divide(double_divide(X1,double_divide(X2,identity)),identity)) = X2,
inference(backward_demodulation,[],[f133,f1630]) ).
fof(f1720,plain,
! [X2,X0] : double_divide(X0,X2) = double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X0,identity))),
inference(backward_demodulation,[],[f1474,f1630]) ).
fof(f1721,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(identity,double_divide(double_divide(X1,identity),X0))),
inference(backward_demodulation,[],[f1504,f1630]) ).
fof(f1737,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(backward_demodulation,[],[f151,f1630]) ).
fof(f1746,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X0,X1)) = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X2,identity)))),double_divide(X0,identity)))),
inference(forward_demodulation,[],[f1643,f156]) ).
fof(f1777,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),X1),
inference(forward_demodulation,[],[f1737,f1630]) ).
fof(f1823,plain,
! [X2,X1] : double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,double_divide(X2,identity)))) = X2,
inference(forward_demodulation,[],[f1682,f156]) ).
fof(f1828,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X0,X1)) = double_divide(double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X2,identity)))),double_divide(X0,identity)),
inference(forward_demodulation,[],[f1746,f1680]) ).
fof(f1843,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X0,X1)) = double_divide(double_divide(X1,double_divide(X2,identity)),double_divide(X0,identity)),
inference(forward_demodulation,[],[f1828,f1680]) ).
fof(f1927,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(X1,identity))) = double_divide(X1,double_divide(identity,X0)),
inference(superposition,[],[f1630,f1777]) ).
fof(f1973,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
inference(superposition,[],[f1823,f1600]) ).
fof(f1977,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(X0,identity)) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
inference(superposition,[],[f1823,f66]) ).
fof(f2087,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(X0,identity))),
inference(superposition,[],[f1600,f1537]) ).
fof(f2545,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X1,identity),X0))) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(identity,X0))),
inference(superposition,[],[f1973,f1721]) ).
fof(f2580,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(identity,double_divide(double_divide(X1,identity),X0))),
inference(forward_demodulation,[],[f2545,f1680]) ).
fof(f2602,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(double_divide(identity,X1),X0),
inference(forward_demodulation,[],[f2580,f1680]) ).
fof(f2654,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,f2602]) ).
fof(f2734,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,[],[f2654,f156]) ).
fof(f2775,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,double_divide(identity,identity)),double_divide(double_divide(identity,double_divide(c3,b3)),identity))
| spl0_1 ),
inference(forward_demodulation,[],[f2734,f1843]) ).
fof(f2797,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,double_divide(identity,identity)),double_divide(identity,double_divide(identity,double_divide(c3,b3))))
| spl0_1 ),
inference(forward_demodulation,[],[f2775,f156]) ).
fof(f2805,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,double_divide(identity,identity)),double_divide(c3,b3))
| spl0_1 ),
inference(forward_demodulation,[],[f2797,f1680]) ).
fof(f2809,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(b3,double_divide(double_divide(a3,double_divide(identity,identity)),identity)),double_divide(c3,identity))
| spl0_1 ),
inference(forward_demodulation,[],[f2805,f1843]) ).
fof(f2810,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(b3,double_divide(double_divide(a3,double_divide(identity,identity)),identity)),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2809,f156]) ).
fof(f2811,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,double_divide(double_divide(a3,double_divide(identity,identity)),double_divide(b3,identity))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2810,f2087]) ).
fof(f2812,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,double_divide(double_divide(a3,double_divide(identity,identity)),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2811,f156]) ).
fof(f2813,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(a3,identity))),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2812,f1927]) ).
fof(f2814,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,double_divide(double_divide(a3,identity),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2813,f1680]) ).
fof(f2815,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2814,f2602]) ).
fof(f2816,plain,
( double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity))) != double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2815,f156]) ).
fof(f2817,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3)) != double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(identity,identity)),double_divide(c3,identity))
| spl0_1 ),
inference(forward_demodulation,[],[f2816,f1843]) ).
fof(f2818,plain,
( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(identity,identity)),double_divide(identity,c3)) != double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2817,f156]) ).
fof(f2819,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3)) != double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),identity))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2818,f1927]) ).
fof(f2820,plain,
( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(identity,c3)) != double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2819,f1680]) ).
fof(f2821,plain,
( double_divide(double_divide(identity,double_divide(double_divide(b3,a3),identity)),double_divide(identity,c3)) != double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2820,f2602]) ).
fof(f2822,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2821,f1630]) ).
fof(f2823,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3)) != double_divide(double_divide(identity,double_divide(double_divide(a3,identity),double_divide(b3,identity))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2822,f1720]) ).
fof(f2824,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3)) != double_divide(double_divide(identity,double_divide(double_divide(identity,a3),double_divide(identity,b3))),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f2823,f1977]) ).
fof(f2825,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f2824]) ).
fof(f2826,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f2825]) ).
fof(f2828,plain,
( a2 != double_divide(identity,double_divide(a2,identity))
| spl0_2 ),
inference(forward_demodulation,[],[f16,f156]) ).
fof(f2830,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f2828,f1630]) ).
fof(f2831,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f2830]) ).
fof(f2850,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| spl0_3 ),
inference(forward_demodulation,[],[f20,f156]) ).
fof(f2851,plain,
( identity != double_divide(a1,double_divide(identity,a1))
| spl0_3 ),
inference(forward_demodulation,[],[f2850,f1927]) ).
fof(f2852,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2851,f1630]) ).
fof(f2853,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f2852]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f2826]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f2831]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f2853]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3,s2]) ).
fof(f2854,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP080-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:24:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/1.57 % (3286817)Input is clausal, will run a generic CNF schedule.
% 4.36/1.57 % (3286828)dis-21_1_sil=8000:lcm=predicate:random_seed=2796015316:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.36/1.57 % (3286828)Refutation not found, incomplete strategy
% 4.36/1.57 % (3286828)------------------------------
% 4.36/1.57 % (3286828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.57 % (3286828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.57 % (3286828)CaDiCaL version: 2.1.3
% 4.36/1.57 % (3286828)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.57 % (3286828)Time elapsed: 0.001 s
% 4.36/1.57 % (3286828)Peak memory usage: 88 MB
% 4.36/1.57 % (3286822)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2491743357:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.36/1.57 % (3286824)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=789155438:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.36/1.57 % (3286823)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=485743889:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.36/1.57 % (3286825)lrs+10_1_sil=8000:sp=occurrence:random_seed=2130462594:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.36/1.57 % (3286826)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4159190969:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.36/1.57 % (3286827)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1364106036:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.36/1.57 % (3286825)Instruction limit reached!
% 4.36/1.57 % (3286825)------------------------------
% 4.36/1.57 % (3286825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.57 % (3286825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.57 % (3286825)CaDiCaL version: 2.1.3
% 4.36/1.57 % (3286825)Termination reason: Instruction limit
% 4.36/1.57 % (3286825)Termination phase: Saturation
% 4.36/1.57 % (3286825)Time elapsed: 0.067 s
% 4.36/1.57 % (3286825)Peak memory usage: 89 MB
% 4.36/1.57 % (3286825)Instructions burned: 108 (million)
% 4.36/1.57 % (3286826)Instruction limit reached!
% 4.36/1.57 % (3286826)------------------------------
% 4.36/1.57 % (3286826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.57 % (3286826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.57 % (3286826)CaDiCaL version: 2.1.3
% 4.36/1.57 % (3286826)Termination reason: Instruction limit
% 4.36/1.57 % (3286826)Termination phase: Saturation
% 4.36/1.57 % (3286826)Time elapsed: 0.073 s
% 4.36/1.57 % (3286826)Peak memory usage: 89 MB
% 4.36/1.57 % (3286826)Instructions burned: 115 (million)
% 4.36/1.57 % (3286828)------------------------------
% 4.36/1.57 % (3286828)------------------------------
% 4.36/1.57 % (3286827)Instruction limit reached!
% 4.36/1.57 % (3286827)------------------------------
% 4.36/1.57 % (3286827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.57 % (3286827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.57 % (3286827)CaDiCaL version: 2.1.3
% 4.36/1.57 % (3286827)Termination reason: Instruction limit
% 4.36/1.57 % (3286827)Termination phase: Saturation
% 4.36/1.57 % (3286827)Time elapsed: 0.105 s
% 4.36/1.57 % (3286827)Peak memory usage: 90 MB
% 4.36/1.57 % (3286827)Instructions burned: 180 (million)
% 4.36/1.57 % (3286836)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2066303097:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.36/1.57 % (3286836)Refutation not found, incomplete strategy
% 4.36/1.57 % (3286836)------------------------------
% 4.36/1.57 % (3286836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.57 % (3286836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.57 % (3286836)CaDiCaL version: 2.1.3
% 4.36/1.57 % (3286836)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.57 % (3286836)Time elapsed: 0.001 s
% 4.36/1.57 % (3286836)Peak memory usage: 88 MB
% 4.36/1.57 % (3286838)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2337866188:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.36/1.57 % (3286838)Refutation not found, incomplete strategy
% 4.36/1.57 % (3286838)------------------------------
% 4.36/1.57 % (3286838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.57 % (3286838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.57 % (3286838)CaDiCaL version: 2.1.3
% 4.36/1.57 % (3286838)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.57 % (3286838)Time elapsed: 0.0000 s
% 4.36/1.57 % (3286838)Peak memory usage: 88 MB
% 4.36/1.57 % (3286837)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3888620362:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.36/1.57 % (3286837)Refutation not found, incomplete strategy
% 4.36/1.57 % (3286837)------------------------------
% 4.36/1.57 % (3286837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.57 % (3286837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.57 % (3286837)CaDiCaL version: 2.1.3
% 4.36/1.57 % (3286837)Termination reason: Refutation not found, incomplete strategy
% 4.36/1.57 % (3286837)Time elapsed: 0.001 s
% 4.36/1.57 % (3286837)Peak memory usage: 88 MB
% 4.36/1.57 % (3286839)lrs+10_64_to=lpo:sil=8000:random_seed=1547465271:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.36/1.57 % (3286839)First to succeed.
% 4.36/1.57 % (3286839)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3286817"
% 4.36/1.57 % (3286838)------------------------------
% 4.36/1.57 % (3286838)------------------------------
% 4.36/1.57 % (3286836)------------------------------
% 4.36/1.57 % (3286836)------------------------------
% 4.36/1.57 % (3286844)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2773194950:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.36/1.57 % (3286837)------------------------------
% 4.36/1.57 % (3286837)------------------------------
% 4.36/1.57 % (3286844)Instruction limit reached!
% 4.36/1.57 % (3286844)------------------------------
% 4.36/1.57 % (3286844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.57 % (3286844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.57 % (3286844)CaDiCaL version: 2.1.3
% 4.36/1.57 % (3286844)Termination reason: Instruction limit
% 4.36/1.57 % (3286844)Termination phase: Saturation
% 4.36/1.57 % (3286844)Time elapsed: 0.065 s
% 4.36/1.57 % (3286844)Peak memory usage: 89 MB
% 4.36/1.57 % (3286844)Instructions burned: 198 (million)
% 4.36/1.57 % (3286839)Refutation found. Thanks to Tanya!
% 4.36/1.57 % SZS status Unsatisfiable for theBenchmark
% 4.36/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 5.64/1.77 % (3286839)------------------------------
% 5.64/1.77 % (3286839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.77 % (3286839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.77 % (3286839)CaDiCaL version: 2.1.3
% 5.64/1.77 % (3286839)Termination reason: Refutation
% 5.64/1.77 % (3286839)Time elapsed: 0.074 s
% 5.64/1.77 % (3286839)Peak memory usage: 90 MB
% 5.64/1.77 % (3286839)Instructions burned: 118 (million)
% 5.64/1.77 % (3286839)------------------------------
% 5.64/1.77 % (3286839)------------------------------
% 5.64/1.77 % (3286817)Success in time 0.713 s
% 5.64/1.77 % Vampire exiting
%------------------------------------------------------------------------------