%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP099-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 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 10:16:39 AM UTC 2026
% Result : Unsatisfiable 45.48s 6.93s
% Output : Refutation 45.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 9
% Syntax : Number of formulae : 155 ( 119 unt; 4 def)
% Number of atoms : 201 ( 148 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 89 ( 43 ~; 42 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 253 ( 0 sgn 253 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
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))
| multiply(a4,b4) != multiply(b4,a4) ),
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))
| multiply(a4,b4) != multiply(b4,a4) ),
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)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f10,definition,
( spl0_1
<=> double_divide(double_divide(b4,a4),identity) = double_divide(double_divide(a4,b4),identity) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f14,definition,
( spl0_2
<=> 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_2])],[avatar_definition]) ).
fof(f16,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_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f18,definition,
( spl0_3
<=> a2 = double_divide(double_divide(a2,identity),identity) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f20,plain,
( a2 != double_divide(double_divide(a2,identity),identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f22,definition,
( spl0_4
<=> identity = double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f24,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| spl0_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f25,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f8,f22,f18,f14,f10]) ).
fof(f28,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f29,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f31,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f28,f7]) ).
fof(f33,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f31]) ).
fof(f36,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f33,f7]) ).
fof(f46,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f36,f31]) ).
fof(f47,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
inference(superposition,[],[f33,f46]) ).
fof(f48,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(superposition,[],[f31,f46]) ).
fof(f50,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,identity)),identity)),identity) = X1,
inference(superposition,[],[f1,f46]) ).
fof(f56,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f7,f48]) ).
fof(f77,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f47,f48]) ).
fof(f82,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(X0,identity),double_divide(identity,identity)),
inference(superposition,[],[f31,f47]) ).
fof(f86,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f82,f31]) ).
fof(f90,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,X0)),
inference(superposition,[],[f56,f77]) ).
fof(f91,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[],[f48,f77]) ).
fof(f102,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),X0)),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f86]) ).
fof(f103,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),X0)),identity) = X1,
inference(forward_demodulation,[],[f102,f46]) ).
fof(f107,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X0) = X1,
inference(forward_demodulation,[],[f103,f77]) ).
fof(f114,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,X0))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f90]) ).
fof(f119,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,X0))),identity) = X0,
inference(forward_demodulation,[],[f114,f46]) ).
fof(f121,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f119,f77]) ).
fof(f240,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(X0,identity)),identity))) = X1,
inference(forward_demodulation,[],[f50,f91]) ).
fof(f241,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,double_divide(X1,double_divide(X0,identity))))) = X1,
inference(forward_demodulation,[],[f240,f91]) ).
fof(f243,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X1,X0)))) = X1,
inference(superposition,[],[f241,f48]) ).
fof(f245,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X1,X0)))) = X1,
inference(superposition,[],[f241,f77]) ).
fof(f259,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(identity,X0))),
inference(superposition,[],[f241,f107]) ).
fof(f267,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(identity,double_divide(X0,double_divide(X1,identity)))),
inference(superposition,[],[f77,f241]) ).
fof(f303,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0))))) = X1,
inference(superposition,[],[f243,f77]) ).
fof(f331,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X0,X1)),identity),X0)),
inference(superposition,[],[f243,f243]) ).
fof(f336,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f77,f243]) ).
fof(f344,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,X1))),X0)),
inference(forward_demodulation,[],[f331,f91]) ).
fof(f371,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(identity,double_divide(double_divide(X0,X1),X0)),
inference(forward_demodulation,[],[f344,f121]) ).
fof(f418,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(X0,identity))) = double_divide(double_divide(X1,identity),X0),
inference(superposition,[],[f241,f371]) ).
fof(f425,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(X1,X0),X1),
inference(superposition,[],[f77,f371]) ).
fof(f438,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(X1,X0),X1),
inference(forward_demodulation,[],[f425,f91]) ).
fof(f459,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(forward_demodulation,[],[f438,f86]) ).
fof(f475,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f459,f459]) ).
fof(f478,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f459,f107]) ).
fof(f512,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f107,f459]) ).
fof(f684,plain,
( double_divide(double_divide(a4,b4),identity) != double_divide(identity,double_divide(b4,a4))
| spl0_1 ),
inference(superposition,[],[f12,f512]) ).
fof(f754,plain,
( double_divide(double_divide(a4,b4),identity) != double_divide(identity,double_divide(a4,b4))
| spl0_1 ),
inference(forward_demodulation,[],[f684,f512]) ).
fof(f781,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f754,f91]) ).
fof(f782,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f800,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(double_divide(c3,b3),identity),a3))
| spl0_2 ),
inference(forward_demodulation,[],[f16,f91]) ).
fof(f802,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(a3,double_divide(double_divide(c3,b3),identity)))
| spl0_2 ),
inference(forward_demodulation,[],[f800,f512]) ).
fof(f803,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(c3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f802,f91]) ).
fof(f804,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f803,f512]) ).
fof(f805,plain,
( double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity)))
| spl0_2 ),
inference(forward_demodulation,[],[f804,f91]) ).
fof(f806,plain,
( double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| spl0_2 ),
inference(forward_demodulation,[],[f805,f91]) ).
fof(f807,plain,
( double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(a3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f806,f512]) ).
fof(f1221,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f77,f245]) ).
fof(f1349,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(double_divide(X1,identity),X0),identity),
inference(superposition,[],[f267,f371]) ).
fof(f1395,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(X1,identity),X0)),
inference(forward_demodulation,[],[f1349,f91]) ).
fof(f1620,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X1,identity),double_divide(identity,X0)),
inference(superposition,[],[f336,f107]) ).
fof(f1723,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(identity,X0)) = double_divide(identity,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1620,f91]) ).
fof(f1883,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(X1,identity)) = X0,
inference(superposition,[],[f303,f259]) ).
fof(f1950,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(X0,double_divide(identity,X1))) = X0,
inference(forward_demodulation,[],[f1883,f512]) ).
fof(f2098,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[],[f1950,f459]) ).
fof(f2100,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(X1,identity),X0),
inference(superposition,[],[f1950,f107]) ).
fof(f2119,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(X0,double_divide(X1,identity)),
inference(superposition,[],[f459,f1950]) ).
fof(f2246,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[],[f2098,f512]) ).
fof(f4338,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
inference(superposition,[],[f1221,f107]) ).
fof(f4492,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
inference(forward_demodulation,[],[f4338,f91]) ).
fof(f4608,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(identity,X0),X1)),
inference(superposition,[],[f1395,f91]) ).
fof(f18540,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))) = double_divide(double_divide(identity,identity),double_divide(identity,double_divide(X0,double_divide(identity,identity)))),
inference(forward_demodulation,[],[f29,f2100]) ).
fof(f18541,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))) = double_divide(identity,double_divide(double_divide(X0,double_divide(identity,identity)),identity)),
inference(forward_demodulation,[],[f18540,f1723]) ).
fof(f18542,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))) = double_divide(X0,double_divide(identity,identity)),
inference(forward_demodulation,[],[f18541,f475]) ).
fof(f18543,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))),
inference(forward_demodulation,[],[f18542,f46]) ).
fof(f18544,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X2,identity),double_divide(X0,double_divide(X1,X2)))),
inference(forward_demodulation,[],[f18543,f2100]) ).
fof(f21617,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,double_divide(double_divide(X3,identity),double_divide(X0,double_divide(identity,X3))))),double_divide(X0,identity))),double_divide(identity,identity)) = X2,
inference(superposition,[],[f1,f18544]) ).
fof(f21706,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,identity),double_divide(X1,double_divide(double_divide(X2,double_divide(X1,double_divide(double_divide(X3,identity),double_divide(X0,double_divide(identity,X3))))),double_divide(X0,identity)))) = X2,
inference(forward_demodulation,[],[f21617,f2100]) ).
fof(f21964,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,identity),double_divide(X1,double_divide(double_divide(identity,X0),double_divide(X2,double_divide(X1,double_divide(double_divide(X3,identity),double_divide(X0,double_divide(identity,X3)))))))) = X2,
inference(forward_demodulation,[],[f21706,f2246]) ).
fof(f22152,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,identity),double_divide(X1,double_divide(double_divide(identity,X0),double_divide(X2,double_divide(X1,X0))))) = X2,
inference(forward_demodulation,[],[f21964,f1950]) ).
fof(f22258,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X0),double_divide(X2,double_divide(X1,X0))))) = X2,
inference(forward_demodulation,[],[f22152,f46]) ).
fof(f22711,plain,
! [X2,X0,X1] : double_divide(identity,identity) = double_divide(X1,double_divide(double_divide(double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X1,X2))),identity),X0)),
inference(superposition,[],[f18544,f22258]) ).
fof(f22769,plain,
! [X2,X0,X1] : double_divide(identity,identity) = double_divide(X1,double_divide(X0,double_divide(double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X1,X2))),identity))),
inference(forward_demodulation,[],[f22711,f512]) ).
fof(f23025,plain,
! [X2,X0,X1] : double_divide(identity,identity) = double_divide(X1,double_divide(X0,double_divide(identity,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X1,X2)))))),
inference(forward_demodulation,[],[f22769,f2119]) ).
fof(f23198,plain,
! [X2,X0,X1] : double_divide(identity,identity) = double_divide(X1,double_divide(X0,double_divide(X2,double_divide(double_divide(X0,double_divide(X1,X2)),identity)))),
inference(forward_demodulation,[],[f23025,f4608]) ).
fof(f23325,plain,
! [X2,X0,X1] : double_divide(identity,identity) = double_divide(X1,double_divide(X0,double_divide(X2,double_divide(identity,double_divide(X0,double_divide(X1,X2)))))),
inference(forward_demodulation,[],[f23198,f2119]) ).
fof(f23401,plain,
! [X2,X0,X1] : identity = double_divide(X1,double_divide(X0,double_divide(X2,double_divide(identity,double_divide(X0,double_divide(X1,X2)))))),
inference(forward_demodulation,[],[f23325,f46]) ).
fof(f24857,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(double_divide(X2,double_divide(identity,double_divide(X1,double_divide(X0,X2)))),identity),identity)),
inference(superposition,[],[f18544,f23401]) ).
fof(f25120,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(identity,double_divide(double_divide(X2,double_divide(identity,double_divide(X1,double_divide(X0,X2)))),identity))),
inference(forward_demodulation,[],[f24857,f2119]) ).
fof(f25458,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(X2,double_divide(identity,double_divide(X1,double_divide(X0,X2))))),
inference(forward_demodulation,[],[f25120,f475]) ).
fof(f26087,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(double_divide(identity,double_divide(X2,double_divide(X0,X1))),double_divide(identity,double_divide(X0,identity)))),
inference(superposition,[],[f25458,f25458]) ).
fof(f26088,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X2,double_divide(identity,double_divide(X0,double_divide(X1,X2)))),double_divide(identity,identity))),
inference(superposition,[],[f25458,f23401]) ).
fof(f26198,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X1,double_divide(double_divide(identity,double_divide(identity,double_divide(X2,double_divide(X0,X1)))),double_divide(X0,identity)))) = X2,
inference(superposition,[],[f22258,f25458]) ).
fof(f26465,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,double_divide(X2,double_divide(X0,X1))))))) = X2,
inference(forward_demodulation,[],[f26198,f2246]) ).
fof(f26545,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(identity,identity),double_divide(X2,double_divide(identity,double_divide(X0,double_divide(X1,X2)))))),
inference(forward_demodulation,[],[f26088,f2100]) ).
fof(f26546,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,double_divide(X2,double_divide(X0,X1))))),
inference(forward_demodulation,[],[f26087,f2100]) ).
fof(f26799,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X1,double_divide(identity,double_divide(double_divide(identity,double_divide(X2,double_divide(X0,X1))),X0)))) = X2,
inference(forward_demodulation,[],[f26465,f4492]) ).
fof(f26852,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,double_divide(X0,double_divide(X1,X2)))))),
inference(forward_demodulation,[],[f26545,f46]) ).
fof(f26853,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(identity,double_divide(double_divide(X2,double_divide(X0,X1)),double_divide(X0,identity)))),
inference(forward_demodulation,[],[f26546,f1723]) ).
fof(f27019,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(X2,double_divide(X0,X1))),X0),double_divide(X1,identity)) = X2,
inference(forward_demodulation,[],[f26799,f259]) ).
fof(f27049,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(X2,identity))),
inference(forward_demodulation,[],[f26852,f259]) ).
fof(f27050,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(double_divide(double_divide(X2,double_divide(X0,X1)),identity),X0)),
inference(forward_demodulation,[],[f26853,f418]) ).
fof(f27166,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X1),double_divide(double_divide(identity,double_divide(X2,double_divide(X0,X1))),X0)) = X2,
inference(forward_demodulation,[],[f27019,f2246]) ).
fof(f27181,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X1,X2)))),
inference(forward_demodulation,[],[f27049,f2246]) ).
fof(f27182,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(X0,double_divide(double_divide(X2,double_divide(X0,X1)),identity))),
inference(forward_demodulation,[],[f27050,f512]) ).
fof(f27242,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X1),double_divide(X0,double_divide(identity,double_divide(X2,double_divide(X0,X1))))) = X2,
inference(forward_demodulation,[],[f27166,f512]) ).
fof(f27252,plain,
! [X2,X0,X1] : double_divide(X1,identity) = double_divide(X2,double_divide(X0,double_divide(identity,double_divide(X2,double_divide(X0,X1))))),
inference(forward_demodulation,[],[f27182,f2119]) ).
fof(f33559,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X0,X2)))),double_divide(X2,double_divide(identity,double_divide(X0,identity)))) = X1,
inference(superposition,[],[f27242,f25458]) ).
fof(f33898,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(identity,double_divide(X0,identity))),double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X0,X2))))) = X1,
inference(forward_demodulation,[],[f33559,f512]) ).
fof(f34173,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(identity,double_divide(X0,identity))),double_divide(X1,double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f33898,f478]) ).
fof(f34349,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X0),double_divide(X1,double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f34173,f475]) ).
fof(f34776,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X2),X0) = double_divide(X0,double_divide(X2,X1)),
inference(superposition,[],[f34349,f107]) ).
fof(f41333,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(X1,X2)),identity) = double_divide(X1,double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X0,identity)))),
inference(superposition,[],[f27252,f27181]) ).
fof(f41384,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(X1,X2)),identity) = double_divide(X1,double_divide(double_divide(identity,X2),X0)),
inference(superposition,[],[f27252,f22258]) ).
fof(f41884,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X0,double_divide(X1,X2))) = double_divide(X1,double_divide(double_divide(identity,X2),X0)),
inference(forward_demodulation,[],[f41384,f91]) ).
fof(f41924,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(X1,X2)),identity) = double_divide(X1,double_divide(identity,double_divide(double_divide(X0,identity),X2))),
inference(forward_demodulation,[],[f41333,f4492]) ).
fof(f42275,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,double_divide(X2,identity))) = double_divide(double_divide(X0,double_divide(X1,X2)),identity),
inference(forward_demodulation,[],[f41924,f1395]) ).
fof(f42507,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,double_divide(X2,identity))) = double_divide(identity,double_divide(X0,double_divide(X1,X2))),
inference(forward_demodulation,[],[f42275,f91]) ).
fof(f82073,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X0,X1),double_divide(identity,X2))) = double_divide(X0,double_divide(double_divide(identity,X1),double_divide(identity,X2))),
inference(superposition,[],[f41884,f41884]) ).
fof(f83284,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(identity,double_divide(X2,X1))) = double_divide(identity,double_divide(double_divide(X0,X1),double_divide(identity,X2))),
inference(forward_demodulation,[],[f82073,f4492]) ).
fof(f83869,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(identity,double_divide(X2,X1))) = double_divide(X2,double_divide(double_divide(X0,X1),identity)),
inference(forward_demodulation,[],[f83284,f259]) ).
fof(f84248,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(identity,double_divide(X0,X1))) = double_divide(X0,double_divide(identity,double_divide(X2,X1))),
inference(forward_demodulation,[],[f83869,f2119]) ).
fof(f623748,plain,
( double_divide(identity,double_divide(a3,double_divide(identity,double_divide(c3,b3)))) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3))))
| spl0_2 ),
inference(superposition,[],[f807,f84248]) ).
fof(f625312,plain,
( double_divide(identity,double_divide(a3,double_divide(identity,double_divide(c3,b3)))) != double_divide(double_divide(b3,c3),double_divide(a3,identity))
| spl0_2 ),
inference(forward_demodulation,[],[f623748,f259]) ).
fof(f627597,plain,
( double_divide(identity,double_divide(a3,double_divide(identity,double_divide(c3,b3)))) != double_divide(double_divide(b3,c3),double_divide(identity,a3))
| spl0_2 ),
inference(forward_demodulation,[],[f625312,f2119]) ).
fof(f629164,plain,
( double_divide(identity,double_divide(a3,double_divide(identity,double_divide(c3,b3)))) != double_divide(double_divide(a3,identity),double_divide(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f627597,f2100]) ).
fof(f630120,plain,
( double_divide(identity,double_divide(a3,double_divide(identity,double_divide(c3,b3)))) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f629164,f2098]) ).
fof(f630752,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(c3,b3),double_divide(a3,identity))
| spl0_2 ),
inference(forward_demodulation,[],[f630120,f259]) ).
fof(f631164,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(c3,b3),double_divide(identity,a3))
| spl0_2 ),
inference(forward_demodulation,[],[f630752,f2119]) ).
fof(f631430,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f631164,f34776]) ).
fof(f631431,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f631430]) ).
fof(f631875,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f20,f48]) ).
fof(f631876,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f631875]) ).
fof(f631890,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| spl0_4 ),
inference(forward_demodulation,[],[f24,f91]) ).
fof(f631891,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(identity,a1)))
| spl0_4 ),
inference(forward_demodulation,[],[f631890,f42507]) ).
fof(f631892,plain,
( identity != double_divide(a1,double_divide(a1,identity))
| spl0_4 ),
inference(forward_demodulation,[],[f631891,f259]) ).
fof(f631893,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f631892,f7]) ).
fof(f631894,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f631893]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f25]) ).
cnf(s172,plain,
spl0_1,
inference(sat_conversion,[],[f782]) ).
cnf(s64159,plain,
spl0_2,
inference(sat_conversion,[],[f631431]) ).
cnf(s64207,plain,
spl0_3,
inference(sat_conversion,[],[f631876]) ).
cnf(s64209,plain,
spl0_4,
inference(sat_conversion,[],[f631894]) ).
cnf(s64210,plain,
$false,
inference(rat,[],[s5,s64209,s64207,s64159,s172]) ).
fof(f631895,plain,
$false,
inference(avatar_sat_refutation,[],[s64210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP099-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.34 % Computer : n012.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sun Sep 27 09:18:35 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.06/0.34 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.36 Running first-order model finding
% 0.06/0.36 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
% 8.20/1.76 % (2107389)Will run a generic schedule for satisfiability detection.
% 8.20/1.76 % (2107405)% WARNING: option uhcvi not known.
% 8.20/1.76 % (2107406)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=715278119:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.20/1.76 % (2107404)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3387073271_2999 on theBenchmark for (2999ds/0Mi)
% 8.20/1.76 % (2107408)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1572667117:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.20/1.76 % (2107405)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=748841778:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.20/1.76 % (2107407)dis+10_1_sil=32000:sp=arity:random_seed=3931449834:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.20/1.76 % (2107409)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3357812594:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.20/1.76 % (2107410)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2354971806:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.20/1.76 % TRYING [1]
% 8.20/1.76 % TRYING [2]
% 8.20/1.76 % TRYING [3]
% 8.20/1.76 % TRYING [4]
% 8.20/1.76 % TRYING [5]
% 8.20/1.76 % (2107407)Instruction limit reached!
% 8.20/1.76 % (2107407)------------------------------
% 8.20/1.76 % (2107407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/1.76 % (2107407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/1.76 % (2107407)CaDiCaL version: 2.1.3
% 8.20/1.76 % (2107407)Termination reason: Instruction limit
% 8.20/1.76 % (2107407)Termination phase: Saturation
% 8.20/1.76 % (2107407)Time elapsed: 0.030 s
% 8.20/1.76 % (2107407)Peak memory usage: 12 MB
% 8.20/1.76 % (2107407)Instructions burned: 105 (million)
% 8.20/1.76 % (2107408)Instruction limit reached!
% 8.20/1.76 % (2107408)------------------------------
% 8.20/1.76 % (2107408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/1.76 % (2107408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/1.76 % (2107408)CaDiCaL version: 2.1.3
% 8.20/1.76 % (2107408)Termination reason: Instruction limit
% 8.20/1.76 % (2107408)Termination phase: Saturation
% 8.20/1.76 % (2107408)Time elapsed: 0.035 s
% 8.20/1.76 % (2107408)Peak memory usage: 12 MB
% 8.20/1.76 % (2107408)Instructions burned: 119 (million)
% 8.20/1.76 % (2107409)Instruction limit reached!
% 8.20/1.76 % (2107409)------------------------------
% 8.20/1.76 % (2107409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/1.76 % (2107409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/1.76 % (2107409)CaDiCaL version: 2.1.3
% 8.20/1.76 % (2107409)Termination reason: Instruction limit
% 8.20/1.76 % (2107409)Termination phase: Saturation
% 8.20/1.76 % (2107409)Time elapsed: 0.039 s
% 8.20/1.76 % (2107409)Peak memory usage: 12 MB
% 8.20/1.76 % (2107409)Instructions burned: 132 (million)
% 8.20/1.76 % (2107427)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3169917254:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.20/1.76 % TRYING [1]
% 8.20/1.76 % TRYING [2]
% 8.20/1.76 % TRYING [3]
% 8.20/1.76 % (2107430)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1351250601:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.20/1.76 % TRYING [4]
% 8.20/1.76 % (2107433)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=3781505852:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 8.20/1.77 % (2107410)Instruction limit reached!
% 8.20/1.77 % (2107410)------------------------------
% 8.20/1.77 % (2107410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.20/1.77 % (2107410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.20/1.77 % (2107410)CaDiCaL version: 2.1.3
% 8.20/1.77 % (2107410)Termination reason: Instruction limit
% 8.20/1.77 % (2107410)Termination phase: Saturation
% 8.20/1.77 % (2107410)Time elapsed: 0.051 s
% 8.20/1.77 % (2107410)Peak memory usage: 12 MB
% 8.20/1.77 % (2107410)Instructions burned: 162 (million)
% 8.20/1.77 % (2107441)ott-21_1_sil=16000:fs=off:random_seed=2407062803:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 8.20/1.77 % TRYING [5]
% 8.20/1.77 % TRYING [6]
% 8.20/1.77 % (2107430)Instruction limit reached!
% 8.20/1.77 % (2107430)------------------------------
% 8.20/1.77 % (2107430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.93/4.29 % (2107430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.93/4.29 % (2107430)CaDiCaL version: 2.1.3
% 26.93/4.29 % (2107430)Termination reason: Instruction limit
% 26.93/4.29 % (2107430)Termination phase: Saturation
% 26.93/4.29 % (2107430)Time elapsed: 0.043 s
% 26.93/4.29 % (2107430)Peak memory usage: 13 MB
% 26.93/4.29 % (2107430)Instructions burned: 132 (million)
% 26.93/4.29 % (2107457)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1684579747:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 26.93/4.29 % (2107441)Instruction limit reached!
% 26.93/4.29 % (2107441)------------------------------
% 26.93/4.29 % (2107441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.93/4.29 % (2107441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.93/4.29 % (2107441)CaDiCaL version: 2.1.3
% 26.93/4.29 % (2107441)Termination reason: Instruction limit
% 26.93/4.29 % (2107441)Termination phase: Saturation
% 26.93/4.29 % (2107441)Time elapsed: 0.041 s
% 26.93/4.29 % (2107441)Peak memory usage: 11 MB
% 26.93/4.29 % (2107441)Instructions burned: 182 (million)
% 26.93/4.29 % (2107465)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=495391956:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 26.93/4.29 % TRYING [1]
% 26.93/4.29 % TRYING [2]
% 26.93/4.29 % TRYING [3]
% 26.93/4.29 % TRYING [4]
% 26.93/4.29 % TRYING [5]
% 26.93/4.29 % TRYING [6]
% 26.93/4.29 % TRYING [6]
% 26.93/4.29 % (2107457)Instruction limit reached!
% 26.93/4.29 % (2107457)------------------------------
% 26.93/4.29 % (2107457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.93/4.29 % (2107457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.93/4.29 % (2107457)CaDiCaL version: 2.1.3
% 26.93/4.29 % (2107457)Termination reason: Instruction limit
% 26.93/4.29 % (2107457)Termination phase: Saturation
% 26.93/4.29 % (2107457)Time elapsed: 0.136 s
% 26.93/4.29 % (2107457)Peak memory usage: 15 MB
% 26.93/4.29 % (2107457)Instructions burned: 479 (million)
% 26.93/4.29 % (2107433)Instruction limit reached!
% 26.93/4.29 % (2107433)------------------------------
% 26.93/4.29 % (2107433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.93/4.29 % (2107433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.93/4.29 % (2107433)CaDiCaL version: 2.1.3
% 26.93/4.29 % (2107433)Termination reason: Instruction limit
% 26.93/4.29 % (2107433)Termination phase: Saturation
% 26.93/4.29 % (2107433)Time elapsed: 0.195 s
% 26.93/4.29 % (2107433)Peak memory usage: 16 MB
% 26.93/4.29 % (2107433)Instructions burned: 684 (million)
% 26.93/4.29 % (2107499)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1646087646:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 26.93/4.29 % (2107427)Instruction limit reached!
% 26.93/4.29 % (2107427)------------------------------
% 26.93/4.29 % (2107427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.93/4.29 % (2107427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.93/4.29 % (2107427)CaDiCaL version: 2.1.3
% 26.93/4.29 % (2107427)Termination reason: Instruction limit
% 26.93/4.29 % (2107427)Termination phase: Finite model building SAT solving
% 26.93/4.29 % (2107427)Time elapsed: 0.211 s
% 26.93/4.29 % (2107427)Peak memory usage: 17 MB
% 26.93/4.29 % (2107427)Instructions burned: 716 (million)
% 26.93/4.29 % (2107505)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=327923087:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 26.93/4.29 % (2107507)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=2776030965: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)
% 26.93/4.29 % TRYING [14]
% 26.93/4.29 % (2107465)Instruction limit reached!
% 26.93/4.29 % (2107465)------------------------------
% 26.93/4.29 % (2107465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.93/4.29 % (2107465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.93/4.29 % (2107465)CaDiCaL version: 2.1.3
% 26.93/4.29 % (2107465)Termination reason: Instruction limit
% 26.93/4.29 % (2107465)Termination phase: Finite model building SAT solving
% 26.93/4.29 % (2107465)Time elapsed: 0.235 s
% 26.93/4.29 % (2107465)Peak memory usage: 14 MB
% 26.93/4.29 % (2107465)Instructions burned: 868 (million)
% 26.93/4.29 % (2107549)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4128162316:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 26.93/4.29 % (2107505)Instruction limit reached!
% 45.48/6.93 % (2107505)------------------------------
% 45.48/6.93 % (2107505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107505)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107505)Termination reason: Instruction limit
% 45.48/6.93 % (2107505)Termination phase: Finite model building constraint generation
% 45.48/6.93 % (2107505)Time elapsed: 0.178 s
% 45.48/6.93 % (2107505)Peak memory usage: 79 MB
% 45.48/6.93 % (2107505)Instructions burned: 891 (million)
% 45.48/6.93 % (2107554)fmb+10_1_sil=64000:random_seed=212189017:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 45.48/6.93 % TRYING [1]
% 45.48/6.93 % TRYING [2]
% 45.48/6.93 % TRYING [3]
% 45.48/6.93 % TRYING [4]
% 45.48/6.93 % TRYING [5]
% 45.48/6.93 % (2107507)Instruction limit reached!
% 45.48/6.93 % (2107507)------------------------------
% 45.48/6.93 % (2107507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107507)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107507)Termination reason: Instruction limit
% 45.48/6.93 % (2107507)Termination phase: Saturation
% 45.48/6.93 % (2107507)Time elapsed: 0.219 s
% 45.48/6.93 % (2107507)Peak memory usage: 17 MB
% 45.48/6.93 % (2107507)Instructions burned: 694 (million)
% 45.48/6.93 % (2107556)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3486663370:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 45.48/6.93 % TRYING [20]
% 45.48/6.93 % TRYING [6]
% 45.48/6.93 % (2107499)Instruction limit reached!
% 45.48/6.93 % (2107499)------------------------------
% 45.48/6.93 % (2107499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107499)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107499)Termination reason: Instruction limit
% 45.48/6.93 % (2107499)Termination phase: Saturation
% 45.48/6.93 % (2107499)Time elapsed: 0.340 s
% 45.48/6.93 % (2107499)Peak memory usage: 19 MB
% 45.48/6.93 % (2107499)Instructions burned: 1180 (million)
% 45.48/6.93 % (2107558)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2517099039:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 45.48/6.93 % TRYING [8]
% 45.48/6.93 % (2107549)Instruction limit reached!
% 45.48/6.93 % (2107549)------------------------------
% 45.48/6.93 % (2107549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107549)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107549)Termination reason: Instruction limit
% 45.48/6.93 % (2107549)Termination phase: Saturation
% 45.48/6.93 % (2107549)Time elapsed: 0.251 s
% 45.48/6.93 % (2107549)Peak memory usage: 17 MB
% 45.48/6.93 % (2107549)Instructions burned: 881 (million)
% 45.48/6.93 % (2107560)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3869439990:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 45.48/6.93 % TRYING [7]
% 45.48/6.93 % (2107558)Instruction limit reached!
% 45.48/6.93 % (2107558)------------------------------
% 45.48/6.93 % (2107558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107558)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107558)Termination reason: Instruction limit
% 45.48/6.93 % (2107558)Termination phase: Finite model building SAT solving
% 45.48/6.93 % (2107558)Time elapsed: 0.269 s
% 45.48/6.93 % (2107558)Peak memory usage: 33 MB
% 45.48/6.93 % (2107558)Instructions burned: 922 (million)
% 45.48/6.93 % (2107562)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2864727589:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 45.48/6.93 % TRYING [7]
% 45.48/6.93 % (2107562)Instruction limit reached!
% 45.48/6.93 % (2107562)------------------------------
% 45.48/6.93 % (2107562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107562)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107562)Termination reason: Instruction limit
% 45.48/6.93 % (2107562)Termination phase: Saturation
% 45.48/6.93 % (2107562)Time elapsed: 0.481 s
% 45.48/6.93 % (2107562)Peak memory usage: 32 MB
% 45.48/6.93 % (2107562)Instructions burned: 1474 (million)
% 45.48/6.93 % (2107564)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3131209358:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 45.48/6.93 % TRYING [77]
% 45.48/6.93 % (2107560)Instruction limit reached!
% 45.48/6.93 % (2107560)------------------------------
% 45.48/6.93 % (2107560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107560)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107560)Termination reason: Instruction limit
% 45.48/6.93 % (2107560)Termination phase: Saturation
% 45.48/6.93 % (2107560)Time elapsed: 1.516 s
% 45.48/6.93 % (2107560)Peak memory usage: 45 MB
% 45.48/6.93 % (2107560)Instructions burned: 5131 (million)
% 45.48/6.93 % (2107566)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2816022074:fmbsr=2.30978:i=2174_2978 on theBenchmark for (2978ds/2174Mi)
% 45.48/6.93 % TRYING [16]
% 45.48/6.93 % (2107556)Instruction limit reached!
% 45.48/6.93 % (2107556)------------------------------
% 45.48/6.93 % (2107556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107556)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107556)Termination reason: Instruction limit
% 45.48/6.93 % (2107556)Termination phase: Finite model building constraint generation
% 45.48/6.93 % (2107556)Time elapsed: 2.019 s
% 45.48/6.93 % (2107556)Peak memory usage: 633 MB
% 45.48/6.93 % (2107556)Instructions burned: 9519 (million)
% 45.48/6.93 % TRYING [8]
% 45.48/6.93 % (2107568)ott-2_1_sil=16000:newcnf=on:random_seed=1259415851:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2974 on theBenchmark for (2974ds/869Mi)
% 45.48/6.93 % (2107566)Instruction limit reached!
% 45.48/6.93 % (2107566)------------------------------
% 45.48/6.93 % (2107566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107566)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107566)Termination reason: Instruction limit
% 45.48/6.93 % (2107566)Termination phase: Finite model building constraint generation
% 45.48/6.93 % (2107566)Time elapsed: 0.440 s
% 45.48/6.93 % (2107566)Peak memory usage: 156 MB
% 45.48/6.93 % (2107566)Instructions burned: 2176 (million)
% 45.48/6.93 % (2107570)ott+10_1_sil=32000:tgt=ground:random_seed=3760350407:i=5114:av=off_2973 on theBenchmark for (2973ds/5114Mi)
% 45.48/6.93 % (2107564)Instruction limit reached!
% 45.48/6.93 % (2107564)------------------------------
% 45.48/6.93 % (2107564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107564)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107564)Termination reason: Instruction limit
% 45.48/6.93 % (2107564)Termination phase: Finite model building constraint generation
% 45.48/6.93 % (2107564)Time elapsed: 1.302 s
% 45.48/6.93 % (2107564)Peak memory usage: 521 MB
% 45.48/6.93 % (2107564)Instructions burned: 6328 (million)
% 45.48/6.93 % (2107572)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4219872899:i=54282_2972 on theBenchmark for (2972ds/54282Mi)
% 45.48/6.93 % TRYING [1]
% 45.48/6.93 % TRYING [2]
% 45.48/6.93 % TRYING [3]
% 45.48/6.93 % TRYING [4]
% 45.48/6.93 % TRYING [8]
% 45.48/6.93 % TRYING [5]
% 45.48/6.93 % TRYING [6]
% 45.48/6.93 % (2107568)Instruction limit reached!
% 45.48/6.93 % (2107568)------------------------------
% 45.48/6.93 % (2107568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107568)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107568)Termination reason: Instruction limit
% 45.48/6.93 % (2107568)Termination phase: Saturation
% 45.48/6.93 % (2107568)Time elapsed: 0.272 s
% 45.48/6.93 % (2107568)Peak memory usage: 18 MB
% 45.48/6.93 % (2107568)Instructions burned: 869 (million)
% 45.48/6.93 % (2107574)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1033311826:i=3512:aac=none_2971 on theBenchmark for (2971ds/3512Mi)
% 45.48/6.93 % TRYING [7]
% 45.48/6.93 % (2107574)Instruction limit reached!
% 45.48/6.93 % (2107574)------------------------------
% 45.48/6.93 % (2107574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107574)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107574)Termination reason: Instruction limit
% 45.48/6.93 % (2107574)Termination phase: Saturation
% 45.48/6.93 % (2107574)Time elapsed: 1.026 s
% 45.48/6.93 % (2107574)Peak memory usage: 38 MB
% 45.48/6.93 % (2107574)Instructions burned: 3513 (million)
% 45.48/6.93 % (2107576)dis+21_1_sil=32000:sas=cadical:random_seed=4146045708:i=3773:amm=off_2960 on theBenchmark for (2960ds/3773Mi)
% 45.48/6.93 % (2107570)Instruction limit reached!
% 45.48/6.93 % (2107570)------------------------------
% 45.48/6.93 % (2107570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107570)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107570)Termination reason: Instruction limit
% 45.48/6.93 % (2107570)Termination phase: Saturation
% 45.48/6.93 % (2107570)Time elapsed: 1.436 s
% 45.48/6.93 % (2107570)Peak memory usage: 62 MB
% 45.48/6.93 % (2107570)Instructions burned: 5115 (million)
% 45.48/6.93 % (2107578)ott+11_1_sil=16000:gs=on:random_seed=955131515:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2959 on theBenchmark for (2959ds/2251Mi)
% 45.48/6.93 % (2107578)Instruction limit reached!
% 45.48/6.93 % (2107578)------------------------------
% 45.48/6.93 % (2107578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107578)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107578)Termination reason: Instruction limit
% 45.48/6.93 % (2107578)Termination phase: Saturation
% 45.48/6.93 % (2107578)Time elapsed: 0.758 s
% 45.48/6.93 % (2107578)Peak memory usage: 25 MB
% 45.48/6.93 % (2107578)Instructions burned: 2252 (million)
% 45.48/6.93 % (2107580)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1808057425:fmbsr=1.6:i=67534_2951 on theBenchmark for (2951ds/67534Mi)
% 45.48/6.93 % TRYING [7]
% 45.48/6.93 % (2107576)Instruction limit reached!
% 45.48/6.93 % (2107576)------------------------------
% 45.48/6.93 % (2107576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107576)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107576)Termination reason: Instruction limit
% 45.48/6.93 % (2107576)Termination phase: Saturation
% 45.48/6.93 % (2107576)Time elapsed: 1.120 s
% 45.48/6.93 % (2107576)Peak memory usage: 44 MB
% 45.48/6.93 % (2107576)Instructions burned: 3773 (million)
% 45.48/6.93 % (2107582)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=177167660:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2949 on theBenchmark for (2949ds/4591Mi)
% 45.48/6.93 % TRYING [8]
% 45.48/6.93 % (2107582)Instruction limit reached!
% 45.48/6.93 % (2107582)------------------------------
% 45.48/6.93 % (2107582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107582)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107582)Termination reason: Instruction limit
% 45.48/6.93 % (2107582)Termination phase: Saturation
% 45.48/6.93 % (2107582)Time elapsed: 0.984 s
% 45.48/6.93 % (2107582)Peak memory usage: 28 MB
% 45.48/6.93 % (2107582)Instructions burned: 4593 (million)
% 45.48/6.93 % (2107584)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2776331788:i=29340_2939 on theBenchmark for (2939ds/29340Mi)
% 45.48/6.93 % (2107406) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2107389-2107406"...
% 45.48/6.93 % (2107406)...printing done.
% 45.48/6.93 % (2107406)Refutation found. Thanks to Tanya!
% 45.48/6.93 % SZS status Unsatisfiable for theBenchmark
% 45.48/6.93 % SZS output start Proof for theBenchmark
% See solution above
% 45.48/6.93 % (2107406)------------------------------
% 45.48/6.93 % (2107406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.48/6.93 % (2107406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.48/6.93 % (2107406)CaDiCaL version: 2.1.3
% 45.48/6.93 % (2107406)Termination reason: Refutation
% 45.48/6.93 % (2107406)Time elapsed: 6.519 s
% 45.48/6.93 % (2107406)Peak memory usage: 123 MB
% 45.48/6.93 % (2107406)Instructions burned: 21442 (million)
% 45.48/6.93 % (2107389)Success in time 6.569 s
% 45.48/6.93 % Vampire exiting
%------------------------------------------------------------------------------