%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP076-1 : 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 : n018.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 2.27s 0.91s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 8
% Syntax : Number of formulae : 126 ( 102 unt; 3 def)
% Number of atoms : 155 ( 119 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 : 8 ( 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 : 197 ( 0 sgn 197 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,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(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f26,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)) = double_divide(double_divide(X1,X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f28,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f22,f7]) ).
fof(f32,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f28]) ).
fof(f34,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f32,f7]) ).
fof(f35,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f34,f28]) ).
fof(f37,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),identity))),identity) = X1,
inference(superposition,[],[f22,f35]) ).
fof(f38,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),identity) = X2,
inference(superposition,[],[f1,f35]) ).
fof(f41,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),X1),identity)),identity) = X1,
inference(superposition,[],[f1,f35]) ).
fof(f43,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(superposition,[],[f1,f35]) ).
fof(f47,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f43]) ).
fof(f55,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity))),identity),
inference(forward_demodulation,[],[f47,f35]) ).
fof(f117,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,identity),X0),identity)),X0),
inference(superposition,[],[f7,f41]) ).
fof(f284,plain,
! [X0] : double_divide(double_divide(identity,identity),identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity)),
inference(superposition,[],[f43,f55]) ).
fof(f304,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity)),
inference(forward_demodulation,[],[f284,f35]) ).
fof(f312,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity)),
inference(forward_demodulation,[],[f304,f35]) ).
fof(f318,plain,
! [X0] : identity = double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X0,identity)),
inference(superposition,[],[f312,f43]) ).
fof(f331,plain,
! [X0] : double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity) = X0,
inference(superposition,[],[f37,f312]) ).
fof(f399,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,identity))),identity),
inference(superposition,[],[f38,f318]) ).
fof(f405,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(identity,X0),identity),identity),
inference(forward_demodulation,[],[f399,f7]) ).
fof(f428,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(superposition,[],[f312,f331]) ).
fof(f469,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(superposition,[],[f38,f428]) ).
fof(f516,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f405,f331]) ).
fof(f564,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X1),X0),double_divide(X1,identity)) = X0,
inference(superposition,[],[f516,f38]) ).
fof(f594,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),identity)),identity) = X1,
inference(superposition,[],[f41,f516]) ).
fof(f622,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f469,f516]) ).
fof(f627,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(double_divide(double_divide(X1,identity),X0),identity)),
inference(superposition,[],[f622,f41]) ).
fof(f633,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),identity)),
inference(superposition,[],[f622,f117]) ).
fof(f652,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity))),identity) = X1,
inference(superposition,[],[f38,f622]) ).
fof(f655,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity)) = X1,
inference(forward_demodulation,[],[f652,f516]) ).
fof(f661,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),identity)),
inference(forward_demodulation,[],[f633,f35]) ).
fof(f868,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),identity) = X0,
inference(superposition,[],[f37,f661]) ).
fof(f902,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f868,f405]) ).
fof(f927,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[],[f902,f516]) ).
fof(f930,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f902,f331]) ).
fof(f933,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f655,f902]) ).
fof(f1053,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,f927]) ).
fof(f1093,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,[],[f1053,f927]) ).
fof(f1146,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,[],[f1093,f927]) ).
fof(f1169,plain,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| spl0_1 ),
inference(forward_demodulation,[],[f1146,f927]) ).
fof(f1237,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f933,f933]) ).
fof(f1453,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[],[f1237,f564]) ).
fof(f1484,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(X0,double_divide(X1,identity)),
inference(superposition,[],[f564,f1237]) ).
fof(f2835,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),identity))) = X1,
inference(forward_demodulation,[],[f594,f927]) ).
fof(f2836,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,X1)))) = X1,
inference(forward_demodulation,[],[f2835,f1484]) ).
fof(f2842,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(identity,double_divide(double_divide(X1,identity),X0))),
inference(forward_demodulation,[],[f627,f1484]) ).
fof(f2879,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X0)),double_divide(identity,X0))),
inference(superposition,[],[f2836,f655]) ).
fof(f2918,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
inference(superposition,[],[f516,f2836]) ).
fof(f2967,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X0)),double_divide(identity,X0))),
inference(forward_demodulation,[],[f2879,f927]) ).
fof(f3019,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X0)),double_divide(identity,X0))) = X1,
inference(forward_demodulation,[],[f2967,f1237]) ).
fof(f3415,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,identity),identity)) = double_divide(identity,double_divide(double_divide(X1,identity),X0)),
inference(superposition,[],[f655,f2842]) ).
fof(f3425,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X1),identity),X0)),
inference(superposition,[],[f564,f2842]) ).
fof(f3474,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X1)),X0)),
inference(forward_demodulation,[],[f3425,f1453]) ).
fof(f3482,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X1,identity))) = double_divide(identity,double_divide(double_divide(X1,identity),X0)),
inference(forward_demodulation,[],[f3415,f1484]) ).
fof(f3542,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(identity,X0),double_divide(X1,identity)),
inference(forward_demodulation,[],[f3474,f930]) ).
fof(f3548,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(identity,double_divide(double_divide(X1,identity),X0)),
inference(forward_demodulation,[],[f3482,f1237]) ).
fof(f3973,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,identity),double_divide(double_divide(double_divide(identity,X1),identity),identity)),
inference(superposition,[],[f655,f2918]) ).
fof(f3982,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,identity),double_divide(identity,double_divide(double_divide(identity,X1),identity))),
inference(forward_demodulation,[],[f3973,f1484]) ).
fof(f4056,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,identity),double_divide(identity,X1)),
inference(forward_demodulation,[],[f3982,f1237]) ).
fof(f4398,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X1,identity)))),
inference(superposition,[],[f3019,f564]) ).
fof(f4546,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(double_divide(identity,X0),X1)),
inference(forward_demodulation,[],[f4398,f1237]) ).
fof(f4994,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(identity,X0))),
inference(superposition,[],[f3542,f930]) ).
fof(f5002,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(X0,identity))),
inference(superposition,[],[f3542,f622]) ).
fof(f7646,plain,
( double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(identity,a3),double_divide(c3,b3))
| spl0_1 ),
inference(superposition,[],[f1169,f4546]) ).
fof(f11062,plain,
( double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity))
| spl0_1 ),
inference(superposition,[],[f7646,f4994]) ).
fof(f11156,plain,
( double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3))
| spl0_1 ),
inference(forward_demodulation,[],[f11062,f1484]) ).
fof(f12638,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)),
inference(forward_demodulation,[],[f26,f35]) ).
fof(f12639,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)) = double_divide(identity,double_divide(X1,X0)),
inference(forward_demodulation,[],[f12638,f927]) ).
fof(f13690,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),X1),X2)) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X2),double_divide(double_divide(X1,identity),identity)),
inference(superposition,[],[f12639,f12639]) ).
fof(f13743,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X1,X3)) = double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X2,double_divide(double_divide(double_divide(X2,identity),X0),identity))),X3),X0),
inference(superposition,[],[f12639,f41]) ).
fof(f13878,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X1,X3)) = double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X2,double_divide(identity,double_divide(double_divide(X2,identity),X0)))),X3),X0),
inference(forward_demodulation,[],[f13743,f1484]) ).
fof(f13925,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),X1),X2)) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X2),double_divide(identity,double_divide(X1,identity))),
inference(forward_demodulation,[],[f13690,f1484]) ).
fof(f14022,plain,
! [X3,X0,X1] : double_divide(identity,double_divide(X1,X3)) = double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(identity,X0)),X3),X0),
inference(forward_demodulation,[],[f13878,f2842]) ).
fof(f14065,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),X1),X2)) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X2),X1),
inference(forward_demodulation,[],[f13925,f1237]) ).
fof(f14146,plain,
! [X3,X0,X1] : double_divide(identity,double_divide(X1,X3)) = double_divide(double_divide(double_divide(identity,double_divide(X0,X1)),X3),X0),
inference(forward_demodulation,[],[f14022,f4056]) ).
fof(f14176,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),X1) = double_divide(identity,double_divide(double_divide(double_divide(X0,identity),X1),X2)),
inference(forward_demodulation,[],[f14065,f1237]) ).
fof(f15860,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X0,X2),X1)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X1),X2),
inference(superposition,[],[f14176,f43]) ).
fof(f15991,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(double_divide(X3,identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f22,f14176]) ).
fof(f16107,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(double_divide(X3,identity),identity))),identity),
inference(forward_demodulation,[],[f15991,f35]) ).
fof(f16206,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),X2) = double_divide(identity,double_divide(double_divide(X0,X2),X1)),
inference(forward_demodulation,[],[f15860,f1237]) ).
fof(f16233,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(identity,double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(double_divide(X3,identity),identity)))),
inference(forward_demodulation,[],[f16107,f927]) ).
fof(f16312,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(identity,double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(identity,double_divide(X3,identity))))),
inference(forward_demodulation,[],[f16233,f1484]) ).
fof(f16345,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(identity,double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),X3))),
inference(forward_demodulation,[],[f16312,f1237]) ).
fof(f16357,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(identity,double_divide(double_divide(X0,X1),X2)),
inference(forward_demodulation,[],[f16345,f1237]) ).
fof(f16479,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X0,identity),X2)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,X1),identity)),X2),double_divide(X1,identity)),
inference(superposition,[],[f12639,f16357]) ).
fof(f16715,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(X0,identity),X2)),
inference(forward_demodulation,[],[f16479,f1237]) ).
fof(f16888,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)) = double_divide(double_divide(identity,X2),X0),
inference(forward_demodulation,[],[f16715,f3548]) ).
fof(f17268,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,double_divide(double_divide(identity,X0),identity))),X2),X0) = double_divide(double_divide(identity,X2),X1),
inference(superposition,[],[f16888,f43]) ).
fof(f17448,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,double_divide(identity,X0)),X2),X0) = double_divide(double_divide(identity,X2),X1),
inference(forward_demodulation,[],[f17268,f1237]) ).
fof(f19025,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X0)),X2)) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X2),double_divide(X1,identity)),
inference(superposition,[],[f12639,f14146]) ).
fof(f19234,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X0)),X2)),
inference(forward_demodulation,[],[f19025,f1237]) ).
fof(f19458,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),double_divide(X1,identity)) = double_divide(double_divide(identity,X2),double_divide(X1,X0)),
inference(forward_demodulation,[],[f19234,f4546]) ).
fof(f23087,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X2),double_divide(X1,X0)) = double_divide(double_divide(double_divide(double_divide(identity,X0),double_divide(identity,X1)),X2),identity),
inference(superposition,[],[f17448,f19458]) ).
fof(f23258,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X2),double_divide(X1,X0)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),double_divide(identity,X1)),X2)),
inference(forward_demodulation,[],[f23087,f927]) ).
fof(f23549,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X2),double_divide(X1,X0)) = double_divide(identity,double_divide(identity,double_divide(double_divide(X0,X2),double_divide(identity,X1)))),
inference(forward_demodulation,[],[f23258,f16206]) ).
fof(f23747,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),double_divide(identity,X1)) = double_divide(double_divide(identity,X2),double_divide(X1,X0)),
inference(forward_demodulation,[],[f23549,f930]) ).
fof(f26838,plain,
( double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(identity,a3),double_divide(c3,b3))
| spl0_1 ),
inference(superposition,[],[f11156,f23747]) ).
fof(f27034,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f26838]) ).
fof(f27035,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f27034]) ).
fof(f28034,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f16,f902]) ).
fof(f28035,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f28034]) ).
fof(f28039,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| spl0_3 ),
inference(forward_demodulation,[],[f20,f927]) ).
fof(f28040,plain,
( identity != double_divide(a1,double_divide(a1,identity))
| spl0_3 ),
inference(forward_demodulation,[],[f28039,f5002]) ).
fof(f28041,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f28040,f7]) ).
fof(f28042,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f28041]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f21]) ).
cnf(s2418,plain,
spl0_1,
inference(sat_conversion,[],[f27035]) ).
cnf(s2541,plain,
spl0_2,
inference(sat_conversion,[],[f28035]) ).
cnf(s2542,plain,
spl0_3,
inference(sat_conversion,[],[f28042]) ).
cnf(s2543,plain,
$false,
inference(rat,[],[s5,s2542,s2541,s2418]) ).
fof(f28043,plain,
$false,
inference(avatar_sat_refutation,[],[s2543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP076-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 09:20:23 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 2.27/0.91 % (2066652)Will run a generic schedule for satisfiability detection.
% 2.27/0.91 % (2066660)dis+10_1_sil=32000:sp=arity:random_seed=4109231641:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.27/0.91 % (2066658)% WARNING: option uhcvi not known.
% 2.27/0.91 % (2066657)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=595347901_2999 on theBenchmark for (2999ds/0Mi)
% 2.27/0.91 % (2066658)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2657327734:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.27/0.91 % (2066662)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4243657718:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.27/0.91 % (2066659)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1754214491:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.27/0.91 % (2066661)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4090826284:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.27/0.91 % (2066663)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1804921480:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.27/0.91 % TRYING [1]
% 2.27/0.91 % TRYING [2]
% 2.27/0.91 % TRYING [3]
% 2.27/0.91 % TRYING [4]
% 2.27/0.91 % (2066660)Instruction limit reached!
% 2.27/0.91 % (2066660)------------------------------
% 2.27/0.91 % (2066660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.91 % (2066660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.91 % (2066660)CaDiCaL version: 2.1.3
% 2.27/0.91 % (2066660)Termination reason: Instruction limit
% 2.27/0.91 % (2066660)Termination phase: Saturation
% 2.27/0.91 % (2066660)Time elapsed: 0.031 s
% 2.27/0.91 % (2066660)Peak memory usage: 12 MB
% 2.27/0.91 % (2066660)Instructions burned: 105 (million)
% 2.27/0.91 % TRYING [5]
% 2.27/0.91 % (2066671)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1166367383:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.27/0.91 % TRYING [1]
% 2.27/0.91 % TRYING [2]
% 2.27/0.91 % TRYING [3]
% 2.27/0.91 % TRYING [4]
% 2.27/0.91 % TRYING [5]
% 2.27/0.91 % (2066661)Instruction limit reached!
% 2.27/0.91 % (2066661)------------------------------
% 2.27/0.91 % (2066661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.91 % (2066661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.91 % (2066661)CaDiCaL version: 2.1.3
% 2.27/0.91 % (2066661)Termination reason: Instruction limit
% 2.27/0.91 % (2066661)Termination phase: Saturation
% 2.27/0.91 % (2066661)Time elapsed: 0.066 s
% 2.27/0.91 % (2066661)Peak memory usage: 12 MB
% 2.27/0.91 % (2066661)Instructions burned: 117 (million)
% 2.27/0.91 % (2066662)Instruction limit reached!
% 2.27/0.91 % (2066662)------------------------------
% 2.27/0.91 % (2066662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.91 % (2066662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.91 % (2066662)CaDiCaL version: 2.1.3
% 2.27/0.91 % (2066662)Termination reason: Instruction limit
% 2.27/0.91 % (2066662)Termination phase: Saturation
% 2.27/0.91 % (2066662)Time elapsed: 0.074 s
% 2.27/0.91 % (2066662)Peak memory usage: 13 MB
% 2.27/0.91 % (2066662)Instructions burned: 131 (million)
% 2.27/0.91 % (2066673)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1456583623:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.27/0.91 % (2066663)Instruction limit reached!
% 2.27/0.91 % (2066663)------------------------------
% 2.27/0.91 % (2066663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.91 % (2066663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.91 % (2066663)CaDiCaL version: 2.1.3
% 2.27/0.91 % (2066663)Termination reason: Instruction limit
% 2.27/0.91 % (2066663)Termination phase: Saturation
% 2.27/0.91 % (2066663)Time elapsed: 0.088 s
% 2.27/0.91 % (2066663)Peak memory usage: 13 MB
% 2.27/0.91 % (2066663)Instructions burned: 159 (million)
% 2.27/0.91 % (2066674)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=748210761:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.27/0.91 % TRYING [6]
% 2.27/0.91 % (2066676)ott-21_1_sil=16000:fs=off:random_seed=1876960284:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.27/0.91 % TRYING [6]
% 2.27/0.91 % (2066673)Instruction limit reached!
% 2.27/0.91 % (2066673)------------------------------
% 2.27/0.91 % (2066673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.91 % (2066673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.91 % (2066673)CaDiCaL version: 2.1.3
% 2.27/0.91 % (2066673)Termination reason: Instruction limit
% 2.27/0.91 % (2066673)Termination phase: Saturation
% 2.27/0.91 % (2066673)Time elapsed: 0.081 s
% 2.27/0.91 % (2066673)Peak memory usage: 13 MB
% 2.27/0.91 % (2066673)Instructions burned: 134 (million)
% 2.27/0.91 % (2066679)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1226465293:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.27/0.91 % (2066676)Instruction limit reached!
% 2.27/0.91 % (2066676)------------------------------
% 2.27/0.91 % (2066676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.91 % (2066676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.91 % (2066676)CaDiCaL version: 2.1.3
% 2.27/0.91 % (2066676)Termination reason: Instruction limit
% 2.27/0.91 % (2066676)Termination phase: Saturation
% 2.27/0.91 % (2066676)Time elapsed: 0.088 s
% 2.27/0.91 % (2066676)Peak memory usage: 12 MB
% 2.27/0.91 % (2066676)Instructions burned: 181 (million)
% 2.27/0.91 % (2066681)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3715874583:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.27/0.91 % TRYING [1]
% 2.27/0.91 % TRYING [2]
% 2.27/0.91 % TRYING [3]
% 2.27/0.91 % TRYING [4]
% 2.27/0.91 % TRYING [5]
% 2.27/0.91 % (2066671)Instruction limit reached!
% 2.27/0.91 % (2066671)------------------------------
% 2.27/0.91 % (2066671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.91 % (2066671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.91 % (2066671)CaDiCaL version: 2.1.3
% 2.27/0.91 % (2066671)Termination reason: Instruction limit
% 2.27/0.91 % (2066671)Termination phase: Finite model building SAT solving
% 2.27/0.91 % (2066671)Time elapsed: 0.223 s
% 2.27/0.91 % (2066671)Peak memory usage: 17 MB
% 2.27/0.91 % (2066671)Instructions burned: 715 (million)
% 2.27/0.91 % (2066683)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1133193328:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.27/0.91 % TRYING [6]
% 2.27/0.91 % (2066659) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2066652-2066659"...
% 2.27/0.91 % (2066659)...printing done.
% 2.27/0.91 % (2066659)Refutation found. Thanks to Tanya!
% 2.27/0.91 % SZS status Unsatisfiable for theBenchmark
% 2.27/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 2.27/0.91 % (2066659)------------------------------
% 2.27/0.91 % (2066659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.91 % (2066659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.91 % (2066659)CaDiCaL version: 2.1.3
% 2.27/0.91 % (2066659)Termination reason: Refutation
% 2.27/0.91 % (2066659)Time elapsed: 0.434 s
% 2.27/0.91 % (2066659)Peak memory usage: 17 MB
% 2.27/0.91 % (2066659)Instructions burned: 822 (million)
% 2.27/0.91 % (2066652)Success in time 0.474 s
% 2.27/0.91 % Vampire exiting
%------------------------------------------------------------------------------