%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU007+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:51:46 PM UTC 2026
% Result : Theorem 35.10s 5.49s
% Output : Refutation 35.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 113 ( 29 unt; 5 def)
% Number of atoms : 426 ( 100 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 522 ( 209 ~; 239 |; 57 &)
% ( 9 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 167 ( 155 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f15,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f31,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f34,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f35,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f36,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> relation_dom(relation_composition(identity_relation(X0),X1)) = set_intersection2(relation_dom(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> relation_dom(relation_composition(identity_relation(X0),X1)) = set_intersection2(relation_dom(X1),X0) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f67]) ).
fof(f71,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f72,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f73,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
? [X0,X1] :
( relation_dom(relation_composition(identity_relation(X0),X1)) != set_intersection2(relation_dom(X1),X0)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f75,plain,
? [X0,X1] :
( relation_dom(relation_composition(identity_relation(X0),X1)) != set_intersection2(relation_dom(X1),X0)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f74]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK0(X0,X1,X2),X0)
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK0(X0,X1,X2),X0)
& in(sK0(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f85]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f68]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f99,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK10(X0,X1),X1)
| ~ in(sK10(X0,X1),X0) )
& ( in(sK10(X0,X1),X1)
| in(sK10(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f73]) ).
fof(f101,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ( sK11(X0,X1) != apply(X1,sK11(X0,X1))
& in(sK11(X0,X1),X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f102]) ).
fof(f104,plain,
( relation_dom(relation_composition(identity_relation(sK12),sK13)) != set_intersection2(relation_dom(sK13),sK12)
& relation(sK13)
& function(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f75]) ).
fof(f108,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f109,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f110,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f111,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f127,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f128,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(apply(X2,X0),relation_dom(X1))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f157,plain,
! [X0,X1] :
( in(sK10(X0,X1),X1)
| in(sK10(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f158,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| X0 = X1
| ~ in(sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f159,plain,
! [X3,X0,X1] :
( apply(X1,X3) = X3
| ~ in(X3,X0)
| identity_relation(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f160,plain,
! [X0,X1] :
( relation_dom(X1) = X0
| identity_relation(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f163,plain,
function(sK13),
inference(cnf_transformation,[],[f104]) ).
fof(f164,plain,
relation(sK13),
inference(cnf_transformation,[],[f104]) ).
fof(f165,plain,
relation_dom(relation_composition(identity_relation(sK12),sK13)) != set_intersection2(relation_dom(sK13),sK12),
inference(cnf_transformation,[],[f104]) ).
fof(f172,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f111]) ).
fof(f173,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f110]) ).
fof(f174,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f109]) ).
fof(f177,plain,
! [X0] :
( ~ relation(identity_relation(X0))
| relation_dom(identity_relation(X0)) = X0
| ~ function(identity_relation(X0)) ),
inference(equality_resolution,[],[f160]) ).
fof(f178,plain,
! [X3,X0] :
( ~ relation(identity_relation(X0))
| ~ in(X3,X0)
| apply(identity_relation(X0),X3) = X3
| ~ function(identity_relation(X0)) ),
inference(equality_resolution,[],[f159]) ).
fof(f179,definition,
sF14 = identity_relation(sK12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f180,plain,
identity_relation(sK12) = sF14,
inference(reorient_equations,[],[f179]) ).
fof(f181,definition,
sF15 = relation_composition(sF14,sK13),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f182,plain,
relation_composition(sF14,sK13) = sF15,
inference(reorient_equations,[],[f181]) ).
fof(f183,definition,
sF16 = relation_dom(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f184,plain,
relation_dom(sF15) = sF16,
inference(reorient_equations,[],[f183]) ).
fof(f185,definition,
sF17 = relation_dom(sK13),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f186,plain,
relation_dom(sK13) = sF17,
inference(reorient_equations,[],[f185]) ).
fof(f187,definition,
sF18 = set_intersection2(sF17,sK12),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f188,plain,
set_intersection2(sF17,sK12) = sF18,
inference(reorient_equations,[],[f187]) ).
fof(f189,plain,
sF16 != sF18,
inference(definition_folding,[],[f165,f188,f186,f184,f182,f180]) ).
fof(f190,plain,
sF18 = set_intersection2(sK12,sF17),
inference(forward_demodulation,[],[f188,f108]) ).
fof(f199,plain,
relation(sF14),
inference(superposition,[],[f128,f180]) ).
fof(f200,plain,
function(sF14),
inference(superposition,[],[f127,f180]) ).
fof(f300,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sK12) ),
inference(superposition,[],[f173,f190]) ).
fof(f306,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sF17) ),
inference(superposition,[],[f174,f190]) ).
fof(f336,plain,
! [X0] :
( ~ in(X0,sF17)
| ~ in(X0,sK12)
| in(X0,sF18) ),
inference(superposition,[],[f172,f190]) ).
fof(f341,plain,
( ~ relation(sF14)
| sK12 = relation_dom(sF14)
| ~ function(sF14) ),
inference(superposition,[],[f177,f180]) ).
fof(f342,plain,
( sK12 = relation_dom(sF14)
| ~ function(sF14) ),
inference(forward_subsumption_resolution,[],[f341,f199]) ).
fof(f344,plain,
sK12 = relation_dom(sF14),
inference(forward_subsumption_resolution,[],[f342,f200]) ).
fof(f377,plain,
! [X0] :
( ~ relation(sF14)
| ~ in(X0,sK12)
| apply(sF14,X0) = X0
| ~ function(sF14) ),
inference(superposition,[],[f178,f180]) ).
fof(f378,plain,
! [X0] :
( ~ in(X0,sK12)
| apply(sF14,X0) = X0
| ~ function(sF14) ),
inference(forward_subsumption_resolution,[],[f377,f199]) ).
fof(f380,plain,
! [X0] :
( ~ in(X0,sK12)
| apply(sF14,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f378,f200]) ).
fof(f446,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14))
| ~ relation(sF14)
| ~ function(sF14)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f153,f182]) ).
fof(f447,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14))
| ~ function(sF14)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f446,f199]) ).
fof(f449,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14))
| ~ relation(sK13)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f447,f200]) ).
fof(f451,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14))
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f449,f164]) ).
fof(f452,plain,
! [X0] :
( ~ in(X0,relation_dom(sF15))
| in(X0,relation_dom(sF14)) ),
inference(forward_subsumption_resolution,[],[f451,f163]) ).
fof(f453,plain,
! [X0] :
( ~ in(X0,sF16)
| in(X0,relation_dom(sF14)) ),
inference(forward_demodulation,[],[f452,f184]) ).
fof(f454,plain,
! [X0] :
( ~ in(X0,sF16)
| in(X0,sK12) ),
inference(forward_demodulation,[],[f453,f344]) ).
fof(f460,plain,
! [X0] :
( in(sK10(X0,sF16),sK12)
| in(sK10(X0,sF16),X0)
| sF16 = X0 ),
inference(resolution,[],[f454,f157]) ).
fof(f468,plain,
! [X2,X0,X1] :
( in(apply(X0,sK10(X1,relation_dom(relation_composition(X0,X2)))),relation_dom(X2))
| in(sK10(X1,relation_dom(relation_composition(X0,X2))),X1)
| ~ function(X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X0)
| relation_dom(relation_composition(X0,X2)) = X1 ),
inference(resolution,[],[f152,f157]) ).
fof(f499,plain,
! [X0,X1] :
( ~ in(apply(X0,X1),sF17)
| ~ in(X1,relation_dom(X0))
| in(X1,relation_dom(relation_composition(X0,sK13)))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f154,f186]) ).
fof(f504,plain,
! [X0,X1] :
( ~ in(apply(X0,X1),sF17)
| ~ in(X1,relation_dom(X0))
| in(X1,relation_dom(relation_composition(X0,sK13)))
| ~ relation(X0)
| ~ function(X0)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f499,f164]) ).
fof(f508,plain,
! [X0,X1] :
( in(X1,relation_dom(relation_composition(X0,sK13)))
| ~ in(X1,relation_dom(X0))
| ~ in(apply(X0,X1),sF17)
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f504,f163]) ).
fof(f544,plain,
! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,relation_dom(sF14))
| ~ in(apply(sF14,X0),sF17)
| ~ relation(sF14)
| ~ function(sF14) ),
inference(superposition,[],[f508,f182]) ).
fof(f547,plain,
! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,relation_dom(sF14))
| ~ in(apply(sF14,X0),sF17)
| ~ function(sF14) ),
inference(forward_subsumption_resolution,[],[f544,f199]) ).
fof(f549,plain,
! [X0] :
( in(X0,relation_dom(sF15))
| ~ in(X0,relation_dom(sF14))
| ~ in(apply(sF14,X0),sF17) ),
inference(forward_subsumption_resolution,[],[f547,f200]) ).
fof(f551,plain,
! [X0] :
( in(X0,sF16)
| ~ in(X0,relation_dom(sF14))
| ~ in(apply(sF14,X0),sF17) ),
inference(forward_demodulation,[],[f549,f184]) ).
fof(f553,plain,
! [X0] :
( ~ in(apply(sF14,X0),sF17)
| in(X0,sF16)
| ~ in(X0,sK12) ),
inference(forward_demodulation,[],[f551,f344]) ).
fof(f2822,plain,
! [X0] :
( in(sK10(X0,relation_dom(sF15)),X0)
| in(apply(sF14,sK10(X0,relation_dom(sF15))),relation_dom(sK13))
| ~ function(sF14)
| ~ relation(sK13)
| ~ function(sK13)
| ~ relation(sF14)
| relation_dom(sF15) = X0 ),
inference(superposition,[],[f468,f182]) ).
fof(f2826,plain,
! [X0] :
( in(sK10(X0,relation_dom(sF15)),X0)
| in(apply(sF14,sK10(X0,relation_dom(sF15))),relation_dom(sK13))
| ~ relation(sK13)
| ~ function(sK13)
| ~ relation(sF14)
| relation_dom(sF15) = X0 ),
inference(forward_subsumption_resolution,[],[f2822,f200]) ).
fof(f2844,plain,
! [X0] :
( in(sK10(X0,relation_dom(sF15)),X0)
| in(apply(sF14,sK10(X0,relation_dom(sF15))),relation_dom(sK13))
| ~ function(sK13)
| ~ relation(sF14)
| relation_dom(sF15) = X0 ),
inference(forward_subsumption_resolution,[],[f2826,f164]) ).
fof(f2861,plain,
! [X0] :
( in(sK10(X0,relation_dom(sF15)),X0)
| in(apply(sF14,sK10(X0,relation_dom(sF15))),relation_dom(sK13))
| ~ relation(sF14)
| relation_dom(sF15) = X0 ),
inference(forward_subsumption_resolution,[],[f2844,f163]) ).
fof(f2872,plain,
! [X0] :
( in(sK10(X0,relation_dom(sF15)),X0)
| in(apply(sF14,sK10(X0,relation_dom(sF15))),relation_dom(sK13))
| relation_dom(sF15) = X0 ),
inference(forward_subsumption_resolution,[],[f2861,f199]) ).
fof(f2882,plain,
! [X0] :
( in(sK10(X0,sF16),X0)
| in(apply(sF14,sK10(X0,relation_dom(sF15))),relation_dom(sK13))
| relation_dom(sF15) = X0 ),
inference(forward_demodulation,[],[f2872,f184]) ).
fof(f2892,plain,
! [X0] :
( in(apply(sF14,sK10(X0,relation_dom(sF15))),sF17)
| in(sK10(X0,sF16),X0)
| relation_dom(sF15) = X0 ),
inference(forward_demodulation,[],[f2882,f186]) ).
fof(f2902,plain,
! [X0] :
( in(apply(sF14,sK10(X0,sF16)),sF17)
| in(sK10(X0,sF16),X0)
| relation_dom(sF15) = X0 ),
inference(forward_demodulation,[],[f2892,f184]) ).
fof(f2912,plain,
! [X0] :
( in(apply(sF14,sK10(X0,sF16)),sF17)
| in(sK10(X0,sF16),X0)
| sF16 = X0 ),
inference(forward_demodulation,[],[f2902,f184]) ).
fof(f4188,plain,
( in(sK10(sF18,sF16),sK12)
| sF16 = sF18
| in(sK10(sF18,sF16),sK12) ),
inference(resolution,[],[f460,f300]) ).
fof(f4190,plain,
( in(sK10(sF18,sF16),sK12)
| sF16 = sF18 ),
inference(duplicate_literal_removal,[],[f4188]) ).
fof(f4193,plain,
in(sK10(sF18,sF16),sK12),
inference(forward_subsumption_resolution,[],[f4190,f189]) ).
fof(f4196,plain,
sK10(sF18,sF16) = apply(sF14,sK10(sF18,sF16)),
inference(resolution,[],[f4193,f380]) ).
fof(f4739,plain,
( in(sK10(sF18,sF16),sF17)
| in(sK10(sF18,sF16),sF18)
| sF16 = sF18 ),
inference(superposition,[],[f2912,f4196]) ).
fof(f4741,plain,
( ~ in(sK10(sF18,sF16),sF17)
| in(sK10(sF18,sF16),sF16)
| ~ in(sK10(sF18,sF16),sK12) ),
inference(superposition,[],[f553,f4196]) ).
fof(f4747,plain,
( ~ in(sK10(sF18,sF16),sF17)
| in(sK10(sF18,sF16),sF16) ),
inference(forward_subsumption_resolution,[],[f4741,f4193]) ).
fof(f4749,plain,
( in(sK10(sF18,sF16),sF17)
| sF16 = sF18 ),
inference(forward_subsumption_resolution,[],[f4739,f306]) ).
fof(f4751,plain,
in(sK10(sF18,sF16),sF17),
inference(forward_subsumption_resolution,[],[f4749,f189]) ).
fof(f4796,plain,
( ~ in(sK10(sF18,sF16),sK12)
| in(sK10(sF18,sF16),sF18) ),
inference(resolution,[],[f4751,f336]) ).
fof(f4801,plain,
in(sK10(sF18,sF16),sF18),
inference(forward_subsumption_resolution,[],[f4796,f4193]) ).
fof(f13315,plain,
in(sK10(sF18,sF16),sF16),
inference(resolution,[],[f4747,f4751]) ).
fof(f13365,plain,
( sF16 = sF18
| ~ in(sK10(sF18,sF16),sF18) ),
inference(resolution,[],[f13315,f158]) ).
fof(f13375,plain,
~ in(sK10(sF18,sF16),sF18),
inference(forward_subsumption_resolution,[],[f13365,f189]) ).
fof(f13376,plain,
$false,
inference(forward_subsumption_resolution,[],[f13375,f4801]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU007+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 03:22:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.38 Running first-order model finding
% 0.14/0.38 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
% 16.33/2.71 % (3995943)Will run a generic schedule for satisfiability detection.
% 16.33/2.71 % (3995950)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3227925705:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.33/2.71 % (3995949)% WARNING: option uhcvi not known.
% 16.33/2.71 % (3995948)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2586225240_2999 on theBenchmark for (2999ds/0Mi)
% 16.33/2.71 % (3995949)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1778096815:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.33/2.71 % (3995951)dis+10_1_sil=32000:sp=arity:random_seed=3411200768:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.33/2.71 % (3995954)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1732991591:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.33/2.71 % (3995952)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=751168721:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.33/2.71 % (3995953)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=115005189:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.33/2.71 % TRYING [1]
% 16.33/2.71 % TRYING [2]
% 16.33/2.71 % TRYING [3]
% 16.33/2.71 % TRYING [4]
% 16.33/2.71 % TRYING [5]
% 16.33/2.71 % TRYING [6]
% 16.33/2.71 % (3995951)Instruction limit reached!
% 16.33/2.71 % (3995951)------------------------------
% 16.33/2.71 % (3995951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.33/2.71 % (3995951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.33/2.71 % (3995951)CaDiCaL version: 2.1.3
% 16.33/2.71 % (3995951)Termination reason: Instruction limit
% 16.33/2.71 % (3995951)Termination phase: Saturation
% 16.33/2.71 % (3995951)Time elapsed: 0.059 s
% 16.33/2.71 % (3995951)Peak memory usage: 12 MB
% 16.33/2.71 % (3995951)Instructions burned: 104 (million)
% 16.33/2.71 % (3995952)Instruction limit reached!
% 16.33/2.71 % (3995952)------------------------------
% 16.33/2.71 % (3995952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.33/2.71 % (3995952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.33/2.71 % (3995952)CaDiCaL version: 2.1.3
% 16.33/2.71 % (3995952)Termination reason: Instruction limit
% 16.33/2.71 % (3995952)Termination phase: Saturation
% 16.33/2.71 % (3995952)Time elapsed: 0.069 s
% 16.33/2.71 % (3995952)Peak memory usage: 13 MB
% 16.33/2.71 % (3995952)Instructions burned: 117 (million)
% 16.33/2.71 % (3995953)Instruction limit reached!
% 16.33/2.71 % (3995953)------------------------------
% 16.33/2.71 % (3995953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.33/2.71 % (3995953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.33/2.71 % (3995953)CaDiCaL version: 2.1.3
% 16.33/2.71 % (3995953)Termination reason: Instruction limit
% 16.33/2.71 % (3995953)Termination phase: Saturation
% 16.33/2.71 % (3995953)Time elapsed: 0.078 s
% 16.33/2.71 % (3995953)Peak memory usage: 13 MB
% 16.33/2.71 % (3995953)Instructions burned: 131 (million)
% 16.33/2.71 % (3995962)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2776151977:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.33/2.71 % TRYING [1]
% 16.33/2.71 % TRYING [2]
% 16.33/2.71 % TRYING [3]
% 16.33/2.71 % (3995954)Instruction limit reached!
% 16.33/2.71 % (3995954)------------------------------
% 16.33/2.71 % (3995954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.33/2.71 % (3995954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.33/2.71 % (3995954)CaDiCaL version: 2.1.3
% 16.33/2.71 % (3995954)Termination reason: Instruction limit
% 16.33/2.71 % (3995954)Termination phase: Saturation
% 16.33/2.71 % (3995963)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3213373672:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.33/2.71 % (3995954)Time elapsed: 0.089 s
% 16.33/2.71 % (3995954)Peak memory usage: 13 MB
% 16.33/2.71 % (3995954)Instructions burned: 160 (million)
% 16.33/2.71 % TRYING [4]
% 16.33/2.71 % (3995965)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=4228927236:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.33/2.71 % TRYING [5]
% 16.33/2.71 % (3995967)ott-21_1_sil=16000:fs=off:random_seed=794410123:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.33/2.71 % TRYING [6]
% 16.33/2.71 % TRYING [7]
% 16.33/2.71 % (3995963)Instruction limit reached!
% 16.33/2.71 % (3995963)------------------------------
% 16.33/2.71 % (3995963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995963)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995963)Termination reason: Instruction limit
% 35.10/5.48 % (3995963)Termination phase: Saturation
% 35.10/5.48 % (3995963)Time elapsed: 0.085 s
% 35.10/5.48 % (3995963)Peak memory usage: 14 MB
% 35.10/5.48 % (3995963)Instructions burned: 132 (million)
% 35.10/5.48 % TRYING [7]
% 35.10/5.48 % (3995970)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2432267754:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 35.10/5.48 % (3995967)Instruction limit reached!
% 35.10/5.48 % (3995967)------------------------------
% 35.10/5.48 % (3995967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995967)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995967)Termination reason: Instruction limit
% 35.10/5.48 % (3995967)Termination phase: Saturation
% 35.10/5.48 % (3995967)Time elapsed: 0.089 s
% 35.10/5.48 % (3995967)Peak memory usage: 12 MB
% 35.10/5.48 % (3995967)Instructions burned: 180 (million)
% 35.10/5.48 % (3995972)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2569125636:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 35.10/5.48 % TRYING [1]
% 35.10/5.48 % TRYING [2]
% 35.10/5.48 % TRYING [3]
% 35.10/5.48 % TRYING [4]
% 35.10/5.48 % TRYING [5]
% 35.10/5.48 % TRYING [6]
% 35.10/5.48 % TRYING [7]
% 35.10/5.48 % (3995962)Instruction limit reached!
% 35.10/5.48 % (3995962)------------------------------
% 35.10/5.48 % (3995962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995962)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995962)Termination reason: Instruction limit
% 35.10/5.48 % (3995962)Termination phase: Finite model building SAT solving
% 35.10/5.48 % (3995962)Time elapsed: 0.325 s
% 35.10/5.48 % (3995962)Peak memory usage: 25 MB
% 35.10/5.48 % (3995962)Instructions burned: 714 (million)
% 35.10/5.48 % (3995974)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4086933301:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 35.10/5.48 % (3995965)Instruction limit reached!
% 35.10/5.48 % (3995965)------------------------------
% 35.10/5.48 % (3995965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995965)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995965)Termination reason: Instruction limit
% 35.10/5.48 % (3995965)Termination phase: Saturation
% 35.10/5.48 % (3995965)Time elapsed: 0.332 s
% 35.10/5.48 % (3995965)Peak memory usage: 19 MB
% 35.10/5.48 % (3995965)Instructions burned: 685 (million)
% 35.10/5.48 % (3995976)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=42421227:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 35.10/5.48 % TRYING [14]
% 35.10/5.48 % (3995970)Instruction limit reached!
% 35.10/5.48 % (3995970)------------------------------
% 35.10/5.48 % (3995970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995970)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995970)Termination reason: Instruction limit
% 35.10/5.48 % (3995970)Termination phase: Saturation
% 35.10/5.48 % (3995970)Time elapsed: 0.320 s
% 35.10/5.48 % (3995970)Peak memory usage: 14 MB
% 35.10/5.48 % (3995970)Instructions burned: 478 (million)
% 35.10/5.48 % (3995978)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=1532548451: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)
% 35.10/5.48 % (3995972)Instruction limit reached!
% 35.10/5.48 % (3995972)------------------------------
% 35.10/5.48 % (3995972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995972)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995972)Termination reason: Instruction limit
% 35.10/5.48 % (3995972)Termination phase: Finite model building SAT solving
% 35.10/5.48 % (3995972)Time elapsed: 0.326 s
% 35.10/5.48 % (3995972)Peak memory usage: 21 MB
% 35.10/5.48 % (3995972)Instructions burned: 867 (million)
% 35.10/5.48 % (3995980)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=287532338:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 35.10/5.48 % TRYING [8]
% 35.10/5.48 % (3995976)Instruction limit reached!
% 35.10/5.48 % (3995976)------------------------------
% 35.10/5.48 % (3995976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995976)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995976)Termination reason: Instruction limit
% 35.10/5.48 % (3995976)Termination phase: Finite model building constraint generation
% 35.10/5.48 % (3995976)Time elapsed: 0.322 s
% 35.10/5.48 % (3995976)Peak memory usage: 71 MB
% 35.10/5.48 % (3995976)Instructions burned: 889 (million)
% 35.10/5.48 % (3995982)fmb+10_1_sil=64000:random_seed=2750009224:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 35.10/5.48 % TRYING [1]
% 35.10/5.48 % TRYING [2]
% 35.10/5.48 % TRYING [3]
% 35.10/5.48 % TRYING [4]
% 35.10/5.48 % TRYING [5]
% 35.10/5.48 % TRYING [6]
% 35.10/5.48 % (3995978)Instruction limit reached!
% 35.10/5.48 % (3995978)------------------------------
% 35.10/5.48 % (3995978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995978)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995978)Termination reason: Instruction limit
% 35.10/5.48 % (3995978)Termination phase: Saturation
% 35.10/5.48 % (3995978)Time elapsed: 0.413 s
% 35.10/5.48 % (3995978)Peak memory usage: 22 MB
% 35.10/5.48 % (3995978)Instructions burned: 692 (million)
% 35.10/5.48 % (3995984)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2178287463:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 35.10/5.48 % TRYING [20]
% 35.10/5.48 % TRYING [7]
% 35.10/5.48 % (3995980)Instruction limit reached!
% 35.10/5.48 % (3995980)------------------------------
% 35.10/5.48 % (3995980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995980)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995980)Termination reason: Instruction limit
% 35.10/5.48 % (3995980)Termination phase: Saturation
% 35.10/5.48 % (3995980)Time elapsed: 0.498 s
% 35.10/5.48 % (3995980)Peak memory usage: 20 MB
% 35.10/5.48 % (3995980)Instructions burned: 880 (million)
% 35.10/5.48 % (3995974)Instruction limit reached!
% 35.10/5.48 % (3995974)------------------------------
% 35.10/5.48 % (3995974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995974)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995974)Termination reason: Instruction limit
% 35.10/5.48 % (3995974)Termination phase: Saturation
% 35.10/5.48 % (3995974)Time elapsed: 0.655 s
% 35.10/5.48 % (3995974)Peak memory usage: 25 MB
% 35.10/5.48 % (3995974)Instructions burned: 1181 (million)
% 35.10/5.48 % (3995986)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3638496816:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 35.10/5.48 % TRYING [8]
% 35.10/5.48 % (3995988)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1683625955:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 35.10/5.48 % TRYING [8]
% 35.10/5.48 % (3995986)Instruction limit reached!
% 35.10/5.48 % (3995986)------------------------------
% 35.10/5.48 % (3995986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995986)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995986)Termination reason: Instruction limit
% 35.10/5.48 % (3995986)Termination phase: Finite model building SAT solving
% 35.10/5.48 % (3995986)Time elapsed: 0.488 s
% 35.10/5.48 % (3995986)Peak memory usage: 43 MB
% 35.10/5.48 % (3995986)Instructions burned: 922 (million)
% 35.10/5.48 % (3995990)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2163186342:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 35.10/5.48 % (3995990)Instruction limit reached!
% 35.10/5.48 % (3995990)------------------------------
% 35.10/5.48 % (3995990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.48 % (3995990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.48 % (3995990)CaDiCaL version: 2.1.3
% 35.10/5.48 % (3995990)Termination reason: Instruction limit
% 35.10/5.48 % (3995990)Termination phase: Saturation
% 35.10/5.48 % (3995990)Time elapsed: 0.666 s
% 35.10/5.48 % (3995990)Peak memory usage: 24 MB
% 35.10/5.48 % (3995990)Instructions burned: 1474 (million)
% 35.10/5.48 % (3995992)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3773821048:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 35.10/5.49 % TRYING [77]
% 35.10/5.49 % (3995988)Instruction limit reached!
% 35.10/5.49 % (3995988)------------------------------
% 35.10/5.49 % (3995988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.49 % (3995988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.49 % (3995988)CaDiCaL version: 2.1.3
% 35.10/5.49 % (3995988)Termination reason: Instruction limit
% 35.10/5.49 % (3995988)Termination phase: Saturation
% 35.10/5.49 % (3995988)Time elapsed: 2.695 s
% 35.10/5.49 % (3995988)Peak memory usage: 28 MB
% 35.10/5.49 % (3995988)Instructions burned: 5132 (million)
% 35.10/5.49 % (3995994)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2788312477:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 35.10/5.49 % TRYING [16]
% 35.10/5.49 % (3995992)Instruction limit reached!
% 35.10/5.49 % (3995992)------------------------------
% 35.10/5.49 % (3995992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.49 % (3995992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.49 % (3995992)CaDiCaL version: 2.1.3
% 35.10/5.49 % (3995992)Termination reason: Instruction limit
% 35.10/5.49 % (3995992)Termination phase: Finite model building constraint generation
% 35.10/5.49 % (3995992)Time elapsed: 2.232 s
% 35.10/5.49 % (3995992)Peak memory usage: 449 MB
% 35.10/5.49 % (3995992)Instructions burned: 6324 (million)
% 35.10/5.49 % (3995994)Instruction limit reached!
% 35.10/5.49 % (3995994)------------------------------
% 35.10/5.49 % (3995994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.49 % (3995994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.49 % (3995994)CaDiCaL version: 2.1.3
% 35.10/5.49 % (3995994)Termination reason: Instruction limit
% 35.10/5.49 % (3995994)Termination phase: Finite model building constraint generation
% 35.10/5.49 % (3995994)Time elapsed: 0.751 s
% 35.10/5.49 % (3995994)Peak memory usage: 138 MB
% 35.10/5.49 % (3995994)Instructions burned: 2175 (million)
% 35.10/5.49 % (3995996)ott-2_1_sil=16000:newcnf=on:random_seed=862127204:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 35.10/5.49 % (3995997)ott+10_1_sil=32000:tgt=ground:random_seed=139881644:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 35.10/5.49 % (3995997) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3995943-3995997"...
% 35.10/5.49 % (3995997)...printing done.
% 35.10/5.49 % (3995997)Refutation found. Thanks to Tanya!
% 35.10/5.49 % SZS status Theorem for theBenchmark
% 35.10/5.49 % SZS output start Proof for theBenchmark
% See solution above
% 35.10/5.49 % (3995997)------------------------------
% 35.10/5.49 % (3995997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.49 % (3995997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.49 % (3995997)CaDiCaL version: 2.1.3
% 35.10/5.49 % (3995997)Termination reason: Refutation
% 35.10/5.49 % (3995997)Time elapsed: 0.379 s
% 35.10/5.49 % (3995997)Peak memory usage: 18 MB
% 35.10/5.49 % (3995997)Instructions burned: 674 (million)
% 35.10/5.49 % (3995943)Success in time 5.092 s
% 35.10/5.49 % Vampire exiting
%------------------------------------------------------------------------------