%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP103-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 42.40s 7.42s
% Output : Refutation 42.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 9
% Syntax : Number of formulae : 150 ( 115 unt; 4 def)
% Number of atoms : 195 ( 143 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 87 ( 42 ~; 41 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 204 ( 0 sgn 204 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| 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(f26,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(double_divide(identity,identity),X0)))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f29,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f30,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f31,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(superposition,[],[f29,f7]) ).
fof(f34,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(forward_demodulation,[],[f31,f7]) ).
fof(f35,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f34,f7]) ).
fof(f36,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(superposition,[],[f29,f35]) ).
fof(f37,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),identity) = X2,
inference(superposition,[],[f1,f35]) ).
fof(f39,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))),identity) = X1,
inference(superposition,[],[f1,f35]) ).
fof(f41,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(superposition,[],[f1,f35]) ).
fof(f46,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X0),
inference(superposition,[],[f7,f36]) ).
fof(f54,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[],[f36,f41]) ).
fof(f65,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,identity))),
inference(superposition,[],[f46,f41]) ).
fof(f88,plain,
! [X0] : double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity)) = X0,
inference(superposition,[],[f41,f54]) ).
fof(f96,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(forward_demodulation,[],[f88,f54]) ).
fof(f157,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,identity),identity)),double_divide(identity,identity)),
inference(superposition,[],[f1,f65]) ).
fof(f160,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(X0,identity),double_divide(identity,identity)),identity),
inference(forward_demodulation,[],[f157,f35]) ).
fof(f165,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(X0,identity),identity),identity),
inference(forward_demodulation,[],[f160,f35]) ).
fof(f312,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,double_divide(identity,double_divide(X0,double_divide(identity,X1)))),X0),
inference(superposition,[],[f7,f39]) ).
fof(f447,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),double_divide(X1,identity))),identity) = X1,
inference(superposition,[],[f37,f7]) ).
fof(f538,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),identity)),identity),
inference(superposition,[],[f447,f35]) ).
fof(f575,plain,
! [X0] : identity = double_divide(double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X0,identity))),identity),
inference(forward_demodulation,[],[f538,f54]) ).
fof(f611,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(identity,X0)),identity),
inference(superposition,[],[f575,f36]) ).
fof(f682,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,identity)),identity) = double_divide(X0,double_divide(identity,X0)),
inference(superposition,[],[f41,f611]) ).
fof(f702,plain,
! [X0] : identity = double_divide(X0,double_divide(identity,X0)),
inference(forward_demodulation,[],[f682,f611]) ).
fof(f724,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(identity,identity)),X0),
inference(superposition,[],[f312,f702]) ).
fof(f725,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,identity)),identity) = X0,
inference(superposition,[],[f39,f702]) ).
fof(f771,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f725,f35]) ).
fof(f772,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f724,f35]) ).
fof(f794,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[],[f771,f165]) ).
fof(f797,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f96,f771]) ).
fof(f808,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f165,f771]) ).
fof(f817,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f808,f771]) ).
fof(f833,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),double_divide(double_divide(X0,identity),identity)),
inference(superposition,[],[f772,f165]) ).
fof(f882,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(forward_demodulation,[],[f833,f771]) ).
fof(f935,plain,
( double_divide(double_divide(a4,b4),identity) != double_divide(identity,double_divide(b4,a4))
| spl0_1 ),
inference(superposition,[],[f12,f794]) ).
fof(f968,plain,
( double_divide(identity,double_divide(b4,a4)) != double_divide(identity,double_divide(a4,b4))
| spl0_1 ),
inference(forward_demodulation,[],[f935,f794]) ).
fof(f1043,plain,
! [X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X0,double_divide(X1,identity))),identity) = X1,
inference(superposition,[],[f447,f797]) ).
fof(f1062,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X0,double_divide(X1,identity)))) = X1,
inference(forward_demodulation,[],[f1043,f794]) ).
fof(f1078,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X0,double_divide(X1,identity)))) = X1,
inference(forward_demodulation,[],[f1062,f794]) ).
fof(f1086,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(X0,double_divide(X1,identity)))) = X1,
inference(forward_demodulation,[],[f1078,f797]) ).
fof(f1205,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,double_divide(double_divide(identity,X1),identity)),identity),
inference(superposition,[],[f37,f882]) ).
fof(f1216,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),identity))),
inference(forward_demodulation,[],[f1205,f794]) ).
fof(f1229,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(identity,double_divide(X0,double_divide(identity,double_divide(identity,X1)))),
inference(forward_demodulation,[],[f1216,f794]) ).
fof(f1236,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(identity,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1229,f797]) ).
fof(f1269,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(identity,double_divide(X1,double_divide(X1,X0))),
inference(superposition,[],[f1086,f771]) ).
fof(f1440,plain,
( double_divide(identity,double_divide(a4,b4)) != double_divide(identity,double_divide(a4,b4))
| spl0_1 ),
inference(superposition,[],[f968,f1236]) ).
fof(f1492,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(identity,double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f797,f1236]) ).
fof(f1503,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f1440]) ).
fof(f1504,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1503]) ).
fof(f1512,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(forward_demodulation,[],[f1492,f797]) ).
fof(f1658,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,f794]) ).
fof(f1660,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,[],[f1658,f1236]) ).
fof(f1661,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,[],[f1660,f794]) ).
fof(f1662,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,[],[f1661,f1236]) ).
fof(f1663,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,[],[f1662,f794]) ).
fof(f1664,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,[],[f1663,f794]) ).
fof(f1665,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,[],[f1664,f1236]) ).
fof(f2022,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(X1,double_divide(X1,X0)),
inference(superposition,[],[f797,f1269]) ).
fof(f2044,plain,
! [X0,X1] : double_divide(X1,double_divide(X1,X0)) = X0,
inference(forward_demodulation,[],[f2022,f817]) ).
fof(f2143,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f2044,f1512]) ).
fof(f2435,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(X0,double_divide(identity,double_divide(X1,double_divide(double_divide(identity,identity),X0))))) = X1,
inference(forward_demodulation,[],[f26,f1512]) ).
fof(f2436,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0))))) = X1,
inference(forward_demodulation,[],[f2435,f35]) ).
fof(f2791,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(identity,identity)) = double_divide(X1,double_divide(identity,double_divide(X0,double_divide(identity,X1)))),
inference(superposition,[],[f29,f2436]) ).
fof(f2841,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(X0,identity))) = double_divide(X1,double_divide(identity,double_divide(X0,double_divide(identity,X1)))),
inference(forward_demodulation,[],[f2791,f1512]) ).
fof(f2906,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),X0) = double_divide(X1,double_divide(identity,double_divide(X0,double_divide(identity,X1)))),
inference(forward_demodulation,[],[f2841,f2143]) ).
fof(f2938,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(identity,double_divide(X0,double_divide(identity,X1)))),
inference(forward_demodulation,[],[f2906,f35]) ).
fof(f2962,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,double_divide(X1,X0))),
inference(superposition,[],[f2938,f96]) ).
fof(f2967,plain,
! [X2,X0,X1] : double_divide(identity,X1) = double_divide(double_divide(X2,double_divide(identity,double_divide(X0,double_divide(identity,X2)))),double_divide(identity,double_divide(X1,X0))),
inference(superposition,[],[f2938,f2436]) ).
fof(f3000,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(X0,double_divide(identity,double_divide(double_divide(identity,X0),X1))),
inference(superposition,[],[f2938,f1236]) ).
fof(f3020,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(identity,X0))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,X1))),identity),
inference(superposition,[],[f1269,f2938]) ).
fof(f3083,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(identity,X0))) = double_divide(identity,double_divide(identity,double_divide(X0,double_divide(identity,X1)))),
inference(forward_demodulation,[],[f3020,f794]) ).
fof(f3129,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X1,X0))),
inference(forward_demodulation,[],[f2967,f2938]) ).
fof(f3134,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(double_divide(X0,identity),double_divide(identity,double_divide(X1,X0))),
inference(forward_demodulation,[],[f2962,f2143]) ).
fof(f3163,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(identity,X0))) = double_divide(X0,double_divide(identity,X1)),
inference(forward_demodulation,[],[f3083,f2044]) ).
fof(f3240,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,double_divide(double_divide(X0,identity),identity))))),
inference(superposition,[],[f3129,f96]) ).
fof(f3289,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f3129,f1236]) ).
fof(f3323,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
inference(superposition,[],[f2044,f3129]) ).
fof(f3388,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(X0,double_divide(identity,double_divide(X1,double_divide(X0,identity)))),
inference(forward_demodulation,[],[f3240,f2143]) ).
fof(f4507,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(X1,identity),double_divide(identity,X0)),
inference(superposition,[],[f2044,f3134]) ).
fof(f6132,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(identity,X1),X0)),
inference(superposition,[],[f3000,f1269]) ).
fof(f6512,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,identity)))) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(identity,X0))),
inference(superposition,[],[f3289,f3388]) ).
fof(f6624,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,identity)))),
inference(forward_demodulation,[],[f6512,f2044]) ).
fof(f6697,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(double_divide(identity,X1),X0),
inference(forward_demodulation,[],[f6624,f2044]) ).
fof(f6770,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),
inference(superposition,[],[f6697,f165]) ).
fof(f6795,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(double_divide(X0,identity),X1),
inference(superposition,[],[f6697,f1512]) ).
fof(f6826,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(X0,double_divide(X1,identity)),
inference(superposition,[],[f6697,f1512]) ).
fof(f7064,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(double_divide(X0,identity),X1),
inference(forward_demodulation,[],[f6770,f2143]) ).
fof(f34233,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))) = double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),X0))),
inference(forward_demodulation,[],[f30,f7064]) ).
fof(f34234,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))) = double_divide(identity,double_divide(double_divide(double_divide(identity,identity),X0),identity)),
inference(forward_demodulation,[],[f34233,f4507]) ).
fof(f34235,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,identity),X0) = double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))),
inference(forward_demodulation,[],[f34234,f2143]) ).
fof(f34236,plain,
! [X2,X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))),
inference(forward_demodulation,[],[f34235,f35]) ).
fof(f34471,plain,
! [X2,X0,X1] : double_divide(identity,X1) = double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(double_divide(identity,double_divide(identity,X2)),double_divide(identity,X0))),
inference(superposition,[],[f34236,f34236]) ).
fof(f34856,plain,
! [X2,X0,X1] : double_divide(identity,X1) = double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(identity,double_divide(X0,double_divide(identity,X2)))),
inference(forward_demodulation,[],[f34471,f3323]) ).
fof(f35159,plain,
! [X2,X0,X1] : double_divide(identity,X1) = double_divide(double_divide(X0,double_divide(X2,X1)),double_divide(X2,double_divide(identity,X0))),
inference(forward_demodulation,[],[f34856,f3163]) ).
fof(f37191,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(double_divide(identity,X1),double_divide(double_divide(identity,X2),double_divide(identity,X0))),identity),
inference(superposition,[],[f37,f35159]) ).
fof(f37192,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(double_divide(identity,X1),double_divide(double_divide(identity,X2),double_divide(identity,X0))),double_divide(identity,identity)),
inference(superposition,[],[f1,f35159]) ).
fof(f37266,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(identity,identity),double_divide(double_divide(identity,X1),double_divide(double_divide(identity,X2),double_divide(identity,X0)))),
inference(forward_demodulation,[],[f37192,f7064]) ).
fof(f37267,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(identity,double_divide(double_divide(identity,X1),double_divide(double_divide(identity,X2),double_divide(identity,X0)))),
inference(forward_demodulation,[],[f37191,f794]) ).
fof(f37615,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(identity,identity),double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X0,X2)))),
inference(forward_demodulation,[],[f37266,f3323]) ).
fof(f37616,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(X1,double_divide(double_divide(double_divide(identity,X2),double_divide(identity,X0)),identity)),
inference(forward_demodulation,[],[f37267,f6132]) ).
fof(f37851,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,X2),X1))),
inference(forward_demodulation,[],[f37615,f3323]) ).
fof(f37852,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(X1,double_divide(identity,double_divide(double_divide(identity,X2),double_divide(identity,X0)))),
inference(forward_demodulation,[],[f37616,f6826]) ).
fof(f37986,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(identity,double_divide(double_divide(double_divide(X0,X2),X1),identity)),
inference(forward_demodulation,[],[f37851,f4507]) ).
fof(f37987,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(X1,double_divide(X0,double_divide(identity,double_divide(identity,X2)))),
inference(forward_demodulation,[],[f37852,f3163]) ).
fof(f38032,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(X0,X2),X1),
inference(forward_demodulation,[],[f37986,f2143]) ).
fof(f38033,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,X2)) = double_divide(X1,double_divide(X2,X0)),
inference(forward_demodulation,[],[f37987,f2044]) ).
fof(f38347,plain,
! [X2,X0,X1] : double_divide(identity,X2) = double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X0,X1),X2))),
inference(superposition,[],[f34236,f38032]) ).
fof(f39336,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,double_divide(X1,X2))) = double_divide(X3,double_divide(X0,double_divide(X2,X1))),
inference(superposition,[],[f38033,f38032]) ).
fof(f67183,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(identity,X2),double_divide(identity,X0))) = double_divide(identity,double_divide(identity,double_divide(X0,double_divide(identity,double_divide(X1,X2))))),
inference(superposition,[],[f38347,f2938]) ).
fof(f67689,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(identity,double_divide(X1,X2))) = double_divide(X1,double_divide(double_divide(identity,X2),double_divide(identity,X0))),
inference(forward_demodulation,[],[f67183,f2044]) ).
fof(f68027,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(identity,double_divide(X1,X2))) = double_divide(X1,double_divide(identity,double_divide(X0,X2))),
inference(forward_demodulation,[],[f67689,f3323]) ).
fof(f314513,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,[],[f1665,f68027]) ).
fof(f315666,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,[],[f314513,f3163]) ).
fof(f317402,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,[],[f315666,f7064]) ).
fof(f318683,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,[],[f317402,f6795]) ).
fof(f319480,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,[],[f318683,f3163]) ).
fof(f319977,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f319480,f38032]) ).
fof(f319978,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f319977]) ).
fof(f320651,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f20,f771]) ).
fof(f320652,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f320651]) ).
fof(f320662,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| spl0_4 ),
inference(forward_demodulation,[],[f24,f794]) ).
fof(f320663,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(identity,a1)))
| spl0_4 ),
inference(forward_demodulation,[],[f320662,f39336]) ).
fof(f320664,plain,
( identity != double_divide(a1,double_divide(identity,a1))
| spl0_4 ),
inference(forward_demodulation,[],[f320663,f3163]) ).
fof(f320665,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f320664,f702]) ).
fof(f320666,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f320665]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f25]) ).
cnf(s342,plain,
spl0_1,
inference(sat_conversion,[],[f1504]) ).
cnf(s43992,plain,
spl0_2,
inference(sat_conversion,[],[f319978]) ).
cnf(s44144,plain,
spl0_3,
inference(sat_conversion,[],[f320652]) ).
cnf(s44145,plain,
spl0_4,
inference(sat_conversion,[],[f320666]) ).
cnf(s44146,plain,
$false,
inference(rat,[],[s5,s44145,s44144,s43992,s342]) ).
fof(f320667,plain,
$false,
inference(avatar_sat_refutation,[],[s44146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP103-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:19:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.07/2.84 % (3245404)Will run a generic schedule for satisfiability detection.
% 16.07/2.84 % (3245409)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=301940326_2999 on theBenchmark for (2999ds/0Mi)
% 16.07/2.84 % TRYING [1]
% 16.07/2.84 % TRYING [2]
% 16.07/2.84 % TRYING [3]
% 16.07/2.84 % (3245410)% WARNING: option uhcvi not known.
% 16.07/2.84 % TRYING [4]
% 16.07/2.84 % (3245410)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1489003699:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.07/2.84 % (3245411)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3290726788:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.07/2.84 % (3245412)dis+10_1_sil=32000:sp=arity:random_seed=302452488:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.07/2.84 % (3245413)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=787150517:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.07/2.84 % (3245415)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3171740504:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.07/2.84 % TRYING [5]
% 16.07/2.84 % (3245414)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3848337259:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.07/2.84 % TRYING [6]
% 16.07/2.84 % (3245412)Instruction limit reached!
% 16.07/2.84 % (3245412)------------------------------
% 16.07/2.84 % (3245412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.84 % (3245412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.84 % (3245412)CaDiCaL version: 2.1.3
% 16.07/2.84 % (3245412)Termination reason: Instruction limit
% 16.07/2.84 % (3245412)Termination phase: Saturation
% 16.07/2.84 % (3245412)Time elapsed: 0.056 s
% 16.07/2.84 % (3245412)Peak memory usage: 12 MB
% 16.07/2.84 % (3245412)Instructions burned: 103 (million)
% 16.07/2.84 % (3245413)Instruction limit reached!
% 16.07/2.84 % (3245413)------------------------------
% 16.07/2.84 % (3245413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.84 % (3245413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.84 % (3245413)CaDiCaL version: 2.1.3
% 16.07/2.84 % (3245413)Termination reason: Instruction limit
% 16.07/2.84 % (3245413)Termination phase: Saturation
% 16.07/2.84 % (3245413)Time elapsed: 0.065 s
% 16.07/2.84 % (3245413)Peak memory usage: 12 MB
% 16.07/2.84 % (3245413)Instructions burned: 116 (million)
% 16.07/2.84 % (3245423)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4167401625:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.07/2.84 % TRYING [1]
% 16.07/2.84 % TRYING [2]
% 16.07/2.84 % TRYING [3]
% 16.07/2.84 % (3245424)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1918307325:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.07/2.84 % TRYING [4]
% 16.07/2.84 % (3245415)Instruction limit reached!
% 16.07/2.84 % (3245415)------------------------------
% 16.07/2.84 % (3245415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.84 % (3245415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.84 % (3245415)CaDiCaL version: 2.1.3
% 16.07/2.84 % (3245415)Termination reason: Instruction limit
% 16.07/2.84 % (3245415)Termination phase: Saturation
% 16.07/2.84 % (3245415)Time elapsed: 0.092 s
% 16.07/2.84 % (3245415)Peak memory usage: 13 MB
% 16.07/2.84 % (3245415)Instructions burned: 160 (million)
% 16.07/2.84 % (3245427)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=2381159427:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.07/2.84 % TRYING [5]
% 16.07/2.84 % (3245414)Instruction limit reached!
% 16.07/2.84 % (3245414)------------------------------
% 16.07/2.84 % (3245414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.07/2.84 % (3245414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.07/2.84 % (3245414)CaDiCaL version: 2.1.3
% 16.07/2.84 % (3245414)Termination reason: Instruction limit
% 16.07/2.84 % (3245414)Termination phase: Saturation
% 16.07/2.84 % (3245414)Time elapsed: 0.117 s
% 16.07/2.84 % (3245414)Peak memory usage: 13 MB
% 16.07/2.84 % (3245414)Instructions burned: 131 (million)
% 16.07/2.84 % (3245429)ott-21_1_sil=16000:fs=off:random_seed=1075343268:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.07/2.84 % (3245424)Instruction limit reached!
% 16.07/2.84 % (3245424)------------------------------
% 16.07/2.84 % (3245424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245424)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245424)Termination reason: Instruction limit
% 42.40/7.41 % (3245424)Termination phase: Saturation
% 42.40/7.41 % (3245424)Time elapsed: 0.080 s
% 42.40/7.41 % (3245424)Peak memory usage: 12 MB
% 42.40/7.41 % (3245424)Instructions burned: 131 (million)
% 42.40/7.41 % (3245431)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3784849798:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 42.40/7.41 % (3245429)Instruction limit reached!
% 42.40/7.41 % (3245429)------------------------------
% 42.40/7.41 % (3245429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245429)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245429)Termination reason: Instruction limit
% 42.40/7.41 % (3245429)Termination phase: Saturation
% 42.40/7.41 % (3245429)Time elapsed: 0.077 s
% 42.40/7.41 % (3245429)Peak memory usage: 12 MB
% 42.40/7.41 % (3245429)Instructions burned: 181 (million)
% 42.40/7.41 % (3245433)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3619138927:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 42.40/7.41 % TRYING [1]
% 42.40/7.41 % TRYING [2]
% 42.40/7.41 % TRYING [3]
% 42.40/7.41 % TRYING [4]
% 42.40/7.41 % TRYING [6]
% 42.40/7.41 % TRYING [5]
% 42.40/7.41 % TRYING [6]
% 42.40/7.41 % (3245431)Instruction limit reached!
% 42.40/7.41 % (3245431)------------------------------
% 42.40/7.41 % (3245431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245431)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245431)Termination reason: Instruction limit
% 42.40/7.41 % (3245431)Termination phase: Saturation
% 42.40/7.41 % (3245431)Time elapsed: 0.250 s
% 42.40/7.41 % (3245431)Peak memory usage: 14 MB
% 42.40/7.41 % (3245431)Instructions burned: 478 (million)
% 42.40/7.41 % (3245435)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1406714596:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 42.40/7.41 % (3245427)Instruction limit reached!
% 42.40/7.41 % (3245427)------------------------------
% 42.40/7.41 % (3245427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245427)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245427)Termination reason: Instruction limit
% 42.40/7.41 % (3245427)Termination phase: Saturation
% 42.40/7.41 % (3245427)Time elapsed: 0.351 s
% 42.40/7.41 % (3245427)Peak memory usage: 15 MB
% 42.40/7.41 % (3245427)Instructions burned: 685 (million)
% 42.40/7.41 % (3245423)Instruction limit reached!
% 42.40/7.41 % (3245423)------------------------------
% 42.40/7.41 % (3245423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245423)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245423)Termination reason: Instruction limit
% 42.40/7.41 % (3245423)Termination phase: Finite model building SAT solving
% 42.40/7.41 % (3245423)Time elapsed: 0.390 s
% 42.40/7.41 % (3245423)Peak memory usage: 17 MB
% 42.40/7.41 % (3245423)Instructions burned: 714 (million)
% 42.40/7.41 % TRYING [7]
% 42.40/7.41 % (3245437)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3700965969:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 42.40/7.41 % (3245438)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=669813412:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 42.40/7.41 % TRYING [14]
% 42.40/7.41 % (3245433)Instruction limit reached!
% 42.40/7.41 % (3245433)------------------------------
% 42.40/7.41 % (3245433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245433)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245433)Termination reason: Instruction limit
% 42.40/7.41 % (3245433)Termination phase: Finite model building SAT solving
% 42.40/7.41 % (3245433)Time elapsed: 0.472 s
% 42.40/7.41 % (3245433)Peak memory usage: 14 MB
% 42.40/7.41 % (3245433)Instructions burned: 865 (million)
% 42.40/7.41 % (3245443)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=61183953:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 42.40/7.41 % (3245437)Instruction limit reached!
% 42.40/7.41 % (3245437)------------------------------
% 42.40/7.41 % (3245437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245437)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245437)Termination reason: Instruction limit
% 42.40/7.41 % (3245437)Termination phase: Finite model building constraint generation
% 42.40/7.41 % (3245437)Time elapsed: 0.322 s
% 42.40/7.41 % (3245437)Peak memory usage: 79 MB
% 42.40/7.41 % (3245437)Instructions burned: 891 (million)
% 42.40/7.41 % (3245465)fmb+10_1_sil=64000:random_seed=4036576116:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 42.40/7.41 % TRYING [1]
% 42.40/7.41 % TRYING [2]
% 42.40/7.41 % TRYING [3]
% 42.40/7.41 % TRYING [4]
% 42.40/7.41 % TRYING [5]
% 42.40/7.41 % (3245438)Instruction limit reached!
% 42.40/7.41 % (3245438)------------------------------
% 42.40/7.41 % (3245438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245438)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245438)Termination reason: Instruction limit
% 42.40/7.41 % (3245438)Termination phase: Saturation
% 42.40/7.41 % (3245438)Time elapsed: 0.411 s
% 42.40/7.41 % (3245438)Peak memory usage: 16 MB
% 42.40/7.41 % (3245438)Instructions burned: 693 (million)
% 42.40/7.41 % (3245500)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=525767446:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 42.40/7.41 % TRYING [20]
% 42.40/7.41 % TRYING [6]
% 42.40/7.41 % (3245435)Instruction limit reached!
% 42.40/7.41 % (3245435)------------------------------
% 42.40/7.41 % (3245435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.41 % (3245435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.41 % (3245435)CaDiCaL version: 2.1.3
% 42.40/7.41 % (3245435)Termination reason: Instruction limit
% 42.40/7.41 % (3245435)Termination phase: Saturation
% 42.40/7.41 % (3245435)Time elapsed: 0.611 s
% 42.40/7.41 % (3245435)Peak memory usage: 24 MB
% 42.40/7.41 % (3245435)Instructions burned: 1179 (million)
% 42.40/7.41 % (3245559)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1976240400:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 42.40/7.42 % TRYING [8]
% 42.40/7.42 % (3245443)Instruction limit reached!
% 42.40/7.42 % (3245443)------------------------------
% 42.40/7.42 % (3245443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245443)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245443)Termination reason: Instruction limit
% 42.40/7.42 % (3245443)Termination phase: Saturation
% 42.40/7.42 % (3245443)Time elapsed: 0.471 s
% 42.40/7.42 % (3245443)Peak memory usage: 16 MB
% 42.40/7.42 % (3245443)Instructions burned: 880 (million)
% 42.40/7.42 % (3245603)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=390611360:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 42.40/7.42 % (3245559)Instruction limit reached!
% 42.40/7.42 % (3245559)------------------------------
% 42.40/7.42 % (3245559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245559)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245559)Termination reason: Instruction limit
% 42.40/7.42 % (3245559)Termination phase: Finite model building SAT solving
% 42.40/7.42 % (3245559)Time elapsed: 0.501 s
% 42.40/7.42 % (3245559)Peak memory usage: 36 MB
% 42.40/7.42 % (3245559)Instructions burned: 921 (million)
% 42.40/7.42 % (3245605)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=729384326:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 42.40/7.42 % TRYING [7]
% 42.40/7.42 % TRYING [8]
% 42.40/7.42 % (3245605)Instruction limit reached!
% 42.40/7.42 % (3245605)------------------------------
% 42.40/7.42 % (3245605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245605)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245605)Termination reason: Instruction limit
% 42.40/7.42 % (3245605)Termination phase: Saturation
% 42.40/7.42 % (3245605)Time elapsed: 0.751 s
% 42.40/7.42 % (3245605)Peak memory usage: 28 MB
% 42.40/7.42 % (3245605)Instructions burned: 1473 (million)
% 42.40/7.42 % (3245607)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1816254747:i=6324_2975 on theBenchmark for (2975ds/6324Mi)
% 42.40/7.42 % TRYING [77]
% 42.40/7.42 % (3245603)Instruction limit reached!
% 42.40/7.42 % (3245603)------------------------------
% 42.40/7.42 % (3245603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245603)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245603)Termination reason: Instruction limit
% 42.40/7.42 % (3245603)Termination phase: Saturation
% 42.40/7.42 % (3245603)Time elapsed: 2.820 s
% 42.40/7.42 % (3245603)Peak memory usage: 42 MB
% 42.40/7.42 % (3245603)Instructions burned: 5131 (million)
% 42.40/7.42 % (3245609)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2453004277:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 42.40/7.42 % TRYING [16]
% 42.40/7.42 % TRYING [8]
% 42.40/7.42 % (3245500)Instruction limit reached!
% 42.40/7.42 % (3245500)------------------------------
% 42.40/7.42 % (3245500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245500)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245500)Termination reason: Instruction limit
% 42.40/7.42 % (3245500)Termination phase: Finite model building constraint generation
% 42.40/7.42 % (3245500)Time elapsed: 3.615 s
% 42.40/7.42 % (3245500)Peak memory usage: 633 MB
% 42.40/7.42 % (3245500)Instructions burned: 9517 (million)
% 42.40/7.42 % (3245611)ott-2_1_sil=16000:newcnf=on:random_seed=4125587173:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 42.40/7.42 % (3245607)Instruction limit reached!
% 42.40/7.42 % (3245607)------------------------------
% 42.40/7.42 % (3245607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245607)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245607)Termination reason: Instruction limit
% 42.40/7.42 % (3245607)Termination phase: Finite model building constraint generation
% 42.40/7.42 % (3245607)Time elapsed: 2.355 s
% 42.40/7.42 % (3245607)Peak memory usage: 521 MB
% 42.40/7.42 % (3245607)Instructions burned: 6327 (million)
% 42.40/7.42 % (3245613)ott+10_1_sil=32000:tgt=ground:random_seed=152084497:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 42.40/7.42 % (3245609)Instruction limit reached!
% 42.40/7.42 % (3245609)------------------------------
% 42.40/7.42 % (3245609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245609)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245609)Termination reason: Instruction limit
% 42.40/7.42 % (3245609)Termination phase: Finite model building constraint generation
% 42.40/7.42 % (3245609)Time elapsed: 0.784 s
% 42.40/7.42 % (3245609)Peak memory usage: 157 MB
% 42.40/7.42 % (3245609)Instructions burned: 2174 (million)
% 42.40/7.42 % (3245615)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2109407794:i=54282_2950 on theBenchmark for (2950ds/54282Mi)
% 42.40/7.42 % TRYING [1]
% 42.40/7.42 % TRYING [2]
% 42.40/7.42 % TRYING [3]
% 42.40/7.42 % TRYING [4]
% 42.40/7.42 % TRYING [5]
% 42.40/7.42 % TRYING [6]
% 42.40/7.42 % (3245611)Instruction limit reached!
% 42.40/7.42 % (3245611)------------------------------
% 42.40/7.42 % (3245611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245611)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245611)Termination reason: Instruction limit
% 42.40/7.42 % (3245611)Termination phase: Saturation
% 42.40/7.42 % (3245611)Time elapsed: 0.498 s
% 42.40/7.42 % (3245611)Peak memory usage: 18 MB
% 42.40/7.42 % (3245611)Instructions burned: 870 (million)
% 42.40/7.42 % (3245617)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3822346063:i=3512:aac=none_2948 on theBenchmark for (2948ds/3512Mi)
% 42.40/7.42 % TRYING [7]
% 42.40/7.42 % (3245411) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3245404-3245411"...
% 42.40/7.42 % (3245411)...printing done.
% 42.40/7.42 % (3245411)Refutation found. Thanks to Tanya!
% 42.40/7.42 % SZS status Unsatisfiable for theBenchmark
% 42.40/7.42 % SZS output start Proof for theBenchmark
% See solution above
% 42.40/7.42 % (3245411)------------------------------
% 42.40/7.42 % (3245411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.40/7.42 % (3245411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/7.42 % (3245411)CaDiCaL version: 2.1.3
% 42.40/7.42 % (3245411)Termination reason: Refutation
% 42.40/7.42 % (3245411)Time elapsed: 6.934 s
% 42.40/7.42 % (3245411)Peak memory usage: 75 MB
% 42.40/7.42 % (3245411)Instructions burned: 12539 (million)
% 42.40/7.42 % (3245404)Success in time 6.992 s
% 42.40/7.42 % Vampire exiting
%------------------------------------------------------------------------------