%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU059+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 : n005.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 12:51:52 PM UTC 2026
% Result : Theorem 36.50s 6.35s
% Output : Refutation 36.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 110 ( 20 unt; 5 def)
% Number of atoms : 433 ( 62 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 552 ( 229 ~; 259 |; 53 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 174 ( 162 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f6,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> relation_inverse_image(X2,set_difference(X0,X1)) = set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t138_funct_1) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> relation_inverse_image(X2,set_difference(X0,X1)) = set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f50,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f51,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f50]) ).
fof(f58,plain,
? [X0,X1,X2] :
( relation_inverse_image(X2,set_difference(X0,X1)) != set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f59,plain,
? [X0,X1,X2] :
( relation_inverse_image(X2,set_difference(X0,X1)) != set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& relation(X2)
& function(X2) ),
inference(flattening,[],[f58]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ~ in(sK0(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK0(X0,X1,X2)),X1)
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK0(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK0(X0,X1,X2)),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X0)
& ~ in(sK1(X0,X1,X2),X1) )
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f77]) ).
fof(f90,plain,
( relation_inverse_image(sK15,set_difference(sK13,sK14)) != set_difference(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14))
& relation(sK15)
& function(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f59]) ).
fof(f98,plain,
! [X2,X0,X1,X4] :
( in(apply(X0,X4),X1)
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f99,plain,
! [X2,X0,X1,X4] :
( in(X4,relation_dom(X0))
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f100,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f101,plain,
! [X2,X0,X1] :
( in(apply(X0,sK0(X0,X1,X2)),X1)
| in(sK0(X0,X1,X2),X2)
| relation_inverse_image(X0,X1) = X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f102,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),relation_dom(X0))
| in(sK0(X0,X1,X2),X2)
| relation_inverse_image(X0,X1) = X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ in(apply(X0,sK0(X0,X1,X2)),X1)
| ~ in(sK0(X0,X1,X2),relation_dom(X0))
| relation_inverse_image(X0,X1) = X2
| ~ in(sK0(X0,X1,X2),X2)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f104,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f105,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f106,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
function(sK15),
inference(cnf_transformation,[],[f90]) ).
fof(f141,plain,
relation(sK15),
inference(cnf_transformation,[],[f90]) ).
fof(f142,plain,
relation_inverse_image(sK15,set_difference(sK13,sK14)) != set_difference(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)),
inference(cnf_transformation,[],[f90]) ).
fof(f155,plain,
! [X0,X1,X4] :
( ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| in(X4,relation_inverse_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f100]) ).
fof(f156,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f99]) ).
fof(f157,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f98]) ).
fof(f158,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f106]) ).
fof(f159,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f105]) ).
fof(f160,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f104]) ).
fof(f161,definition,
sF17 = set_difference(sK13,sK14),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f162,plain,
set_difference(sK13,sK14) = sF17,
inference(reorient_equations,[],[f161]) ).
fof(f163,definition,
sF18 = relation_inverse_image(sK15,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f164,plain,
relation_inverse_image(sK15,sF17) = sF18,
inference(reorient_equations,[],[f163]) ).
fof(f165,definition,
sF19 = relation_inverse_image(sK15,sK13),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f166,plain,
relation_inverse_image(sK15,sK13) = sF19,
inference(reorient_equations,[],[f165]) ).
fof(f167,definition,
sF20 = relation_inverse_image(sK15,sK14),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f168,plain,
relation_inverse_image(sK15,sK14) = sF20,
inference(reorient_equations,[],[f167]) ).
fof(f169,definition,
sF21 = set_difference(sF19,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f170,plain,
set_difference(sF19,sF20) = sF21,
inference(reorient_equations,[],[f169]) ).
fof(f171,plain,
sF18 != sF21,
inference(definition_folding,[],[f142,f170,f168,f166,f164,f162]) ).
fof(f262,plain,
! [X0] :
( ~ in(X0,sF17)
| in(X0,sK13) ),
inference(superposition,[],[f159,f162]) ).
fof(f263,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sF19) ),
inference(superposition,[],[f159,f170]) ).
fof(f266,plain,
! [X0] :
( ~ in(X0,sF17)
| ~ in(X0,sK14) ),
inference(superposition,[],[f160,f162]) ).
fof(f267,plain,
! [X0] :
( ~ in(X0,sF21)
| ~ in(X0,sF20) ),
inference(superposition,[],[f160,f170]) ).
fof(f293,plain,
! [X0] :
( ~ in(X0,sK13)
| in(X0,sF17)
| in(X0,sK14) ),
inference(superposition,[],[f158,f162]) ).
fof(f294,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,sF21)
| in(X0,sF20) ),
inference(superposition,[],[f158,f170]) ).
fof(f323,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,relation_dom(sK15))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f156,f164]) ).
fof(f324,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,relation_dom(sK15))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f156,f166]) ).
fof(f327,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,relation_dom(sK15))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f324,f141]) ).
fof(f328,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,relation_dom(sK15))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f323,f141]) ).
fof(f330,plain,
! [X0] :
( in(X0,relation_dom(sK15))
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f327,f140]) ).
fof(f331,plain,
! [X0] :
( in(X0,relation_dom(sK15))
| ~ in(X0,sF18) ),
inference(forward_subsumption_resolution,[],[f328,f140]) ).
fof(f339,plain,
! [X0] :
( ~ in(X0,sF18)
| in(apply(sK15,X0),sF17)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f157,f164]) ).
fof(f340,plain,
! [X0] :
( ~ in(X0,sF19)
| in(apply(sK15,X0),sK13)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f157,f166]) ).
fof(f341,plain,
! [X0] :
( ~ in(X0,sF20)
| in(apply(sK15,X0),sK14)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f157,f168]) ).
fof(f342,plain,
! [X0] :
( ~ in(X0,sF20)
| in(apply(sK15,X0),sK14)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f341,f141]) ).
fof(f343,plain,
! [X0] :
( ~ in(X0,sF19)
| in(apply(sK15,X0),sK13)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f340,f141]) ).
fof(f344,plain,
! [X0] :
( ~ in(X0,sF18)
| in(apply(sK15,X0),sF17)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f339,f141]) ).
fof(f345,plain,
! [X0] :
( in(apply(sK15,X0),sK14)
| ~ in(X0,sF20) ),
inference(forward_subsumption_resolution,[],[f342,f140]) ).
fof(f346,plain,
! [X0] :
( in(apply(sK15,X0),sK13)
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f343,f140]) ).
fof(f347,plain,
! [X0] :
( in(apply(sK15,X0),sF17)
| ~ in(X0,sF18) ),
inference(forward_subsumption_resolution,[],[f344,f140]) ).
fof(f408,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),X2)
| relation_inverse_image(X0,X1) = X2
| ~ relation(X0)
| ~ function(X0)
| ~ in(sK0(X0,X1,X2),relation_dom(X0))
| in(sK0(X0,X1,X2),relation_inverse_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(resolution,[],[f101,f155]) ).
fof(f428,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),X2)
| relation_inverse_image(X0,X1) = X2
| ~ relation(X0)
| ~ function(X0)
| ~ in(sK0(X0,X1,X2),relation_dom(X0))
| in(sK0(X0,X1,X2),relation_inverse_image(X0,X1)) ),
inference(duplicate_literal_removal,[],[f408]) ).
fof(f429,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),relation_inverse_image(X0,X1))
| in(sK0(X0,X1,X2),X2)
| ~ relation(X0)
| ~ function(X0)
| relation_inverse_image(X0,X1) = X2 ),
inference(forward_subsumption_resolution,[],[f428,f102]) ).
fof(f487,plain,
! [X0] :
( ~ in(sK0(sK15,sF17,X0),sF18)
| ~ in(sK0(sK15,sF17,X0),relation_dom(sK15))
| relation_inverse_image(sK15,sF17) = X0
| ~ in(sK0(sK15,sF17,X0),X0)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(resolution,[],[f347,f103]) ).
fof(f488,plain,
! [X0] :
( in(apply(sK15,X0),sK13)
| ~ in(X0,sF18) ),
inference(resolution,[],[f347,f262]) ).
fof(f492,plain,
! [X0] :
( ~ in(sK0(sK15,sF17,X0),sF18)
| ~ in(sK0(sK15,sF17,X0),relation_dom(sK15))
| relation_inverse_image(sK15,sF17) = X0
| ~ in(sK0(sK15,sF17,X0),X0)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f487,f141]) ).
fof(f494,plain,
! [X0] :
( ~ in(sK0(sK15,sF17,X0),sF18)
| ~ in(sK0(sK15,sF17,X0),relation_dom(sK15))
| relation_inverse_image(sK15,sF17) = X0
| ~ in(sK0(sK15,sF17,X0),X0) ),
inference(forward_subsumption_resolution,[],[f492,f140]) ).
fof(f496,plain,
! [X0] :
( ~ in(sK0(sK15,sF17,X0),sF18)
| relation_inverse_image(sK15,sF17) = X0
| ~ in(sK0(sK15,sF17,X0),X0) ),
inference(forward_subsumption_resolution,[],[f494,f331]) ).
fof(f498,plain,
! [X0] :
( ~ in(sK0(sK15,sF17,X0),sF18)
| sF18 = X0
| ~ in(sK0(sK15,sF17,X0),X0) ),
inference(forward_demodulation,[],[f496,f164]) ).
fof(f506,plain,
! [X0] :
( ~ in(apply(sK15,X0),sK14)
| ~ in(X0,sF18) ),
inference(resolution,[],[f266,f347]) ).
fof(f595,plain,
! [X0] :
( in(apply(sK15,X0),sF17)
| in(apply(sK15,X0),sK14)
| ~ in(X0,sF19) ),
inference(resolution,[],[f293,f346]) ).
fof(f1128,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK13))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(resolution,[],[f488,f155]) ).
fof(f1136,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK13))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f1128,f141]) ).
fof(f1138,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK13)) ),
inference(forward_subsumption_resolution,[],[f1136,f140]) ).
fof(f1140,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,relation_inverse_image(sK15,sK13)) ),
inference(forward_subsumption_resolution,[],[f1138,f331]) ).
fof(f1142,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sF19) ),
inference(forward_demodulation,[],[f1140,f166]) ).
fof(f1466,plain,
! [X0] :
( in(sK0(sK15,sF17,X0),sF18)
| in(sK0(sK15,sF17,X0),X0)
| ~ relation(sK15)
| ~ function(sK15)
| sF18 = X0 ),
inference(superposition,[],[f429,f164]) ).
fof(f1473,plain,
! [X0] :
( in(sK0(sK15,sF17,X0),sF18)
| in(sK0(sK15,sF17,X0),X0)
| ~ function(sK15)
| sF18 = X0 ),
inference(forward_subsumption_resolution,[],[f1466,f141]) ).
fof(f1476,plain,
! [X0] :
( in(sK0(sK15,sF17,X0),sF18)
| in(sK0(sK15,sF17,X0),X0)
| sF18 = X0 ),
inference(forward_subsumption_resolution,[],[f1473,f140]) ).
fof(f1477,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ in(X0,sF18) ),
inference(resolution,[],[f506,f345]) ).
fof(f2650,plain,
! [X0] :
( in(apply(sK15,X0),sK14)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sF17))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(resolution,[],[f595,f155]) ).
fof(f2662,plain,
! [X0] :
( in(apply(sK15,X0),sK14)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sF17))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f2650,f141]) ).
fof(f2666,plain,
! [X0] :
( in(apply(sK15,X0),sK14)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sF17)) ),
inference(forward_subsumption_resolution,[],[f2662,f140]) ).
fof(f2669,plain,
! [X0] :
( in(apply(sK15,X0),sK14)
| ~ in(X0,sF19)
| in(X0,relation_inverse_image(sK15,sF17)) ),
inference(forward_subsumption_resolution,[],[f2666,f330]) ).
fof(f2671,plain,
! [X0] :
( in(apply(sK15,X0),sK14)
| in(X0,sF18)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f2669,f164]) ).
fof(f2904,plain,
( in(sK0(sK15,sF17,sF21),sF18)
| sF18 = sF21
| ~ in(sK0(sK15,sF17,sF21),sF20) ),
inference(resolution,[],[f1476,f267]) ).
fof(f2905,plain,
( in(sK0(sK15,sF17,sF21),sF18)
| sF18 = sF21
| in(sK0(sK15,sF17,sF21),sF19) ),
inference(resolution,[],[f1476,f263]) ).
fof(f2908,plain,
( sF18 = sF21
| in(sK0(sK15,sF17,sF21),sF19) ),
inference(forward_subsumption_resolution,[],[f2905,f1142]) ).
fof(f2909,plain,
( sF18 = sF21
| ~ in(sK0(sK15,sF17,sF21),sF20) ),
inference(forward_subsumption_resolution,[],[f2904,f1477]) ).
fof(f2912,plain,
in(sK0(sK15,sF17,sF21),sF19),
inference(forward_subsumption_resolution,[],[f2908,f171]) ).
fof(f2913,plain,
~ in(sK0(sK15,sF17,sF21),sF20),
inference(forward_subsumption_resolution,[],[f2909,f171]) ).
fof(f2972,plain,
( in(sK0(sK15,sF17,sF21),sF21)
| in(sK0(sK15,sF17,sF21),sF20) ),
inference(resolution,[],[f2912,f294]) ).
fof(f2978,plain,
in(sK0(sK15,sF17,sF21),sF21),
inference(forward_subsumption_resolution,[],[f2972,f2913]) ).
fof(f21435,plain,
! [X0] :
( in(X0,sF18)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK14))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(resolution,[],[f2671,f155]) ).
fof(f21443,plain,
! [X0] :
( in(X0,sF18)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK14))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f21435,f141]) ).
fof(f21449,plain,
! [X0] :
( in(X0,sF18)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK14)) ),
inference(forward_subsumption_resolution,[],[f21443,f140]) ).
fof(f21454,plain,
! [X0] :
( in(X0,sF18)
| ~ in(X0,sF19)
| in(X0,relation_inverse_image(sK15,sK14)) ),
inference(forward_subsumption_resolution,[],[f21449,f330]) ).
fof(f21459,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,sF18)
| in(X0,sF20) ),
inference(forward_demodulation,[],[f21454,f168]) ).
fof(f22431,plain,
( in(sK0(sK15,sF17,sF21),sF18)
| in(sK0(sK15,sF17,sF21),sF20) ),
inference(resolution,[],[f21459,f2912]) ).
fof(f22587,plain,
in(sK0(sK15,sF17,sF21),sF18),
inference(forward_subsumption_resolution,[],[f22431,f2913]) ).
fof(f22894,plain,
( sF18 = sF21
| ~ in(sK0(sK15,sF17,sF21),sF21) ),
inference(resolution,[],[f22587,f498]) ).
fof(f22902,plain,
~ in(sK0(sK15,sF17,sF21),sF21),
inference(forward_subsumption_resolution,[],[f22894,f171]) ).
fof(f22903,plain,
$false,
inference(forward_subsumption_resolution,[],[f22902,f2978]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU059+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 03:29:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 28.19/4.42 % (407785)Will run a generic schedule for satisfiability detection.
% 28.19/4.42 % (407790)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3682103505_2999 on theBenchmark for (2999ds/0Mi)
% 28.19/4.42 % TRYING [1]
% 28.19/4.42 % TRYING [2]
% 28.19/4.42 % (407791)% WARNING: option uhcvi not known.
% 28.19/4.42 % TRYING [3]
% 28.19/4.42 % TRYING [4]
% 28.19/4.42 % (407791)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=923942169:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 28.19/4.42 % (407795)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=137823762:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 28.19/4.42 % (407792)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=407649075:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 28.19/4.42 % (407793)dis+10_1_sil=32000:sp=arity:random_seed=1300918813:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 28.19/4.42 % (407794)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3213931358:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 28.19/4.42 % (407796)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3458198308:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 28.19/4.42 % TRYING [5]
% 28.19/4.42 % TRYING [6]
% 28.19/4.42 % TRYING [7]
% 28.19/4.42 % (407793)Instruction limit reached!
% 28.19/4.42 % (407793)------------------------------
% 28.19/4.42 % (407793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.42 % (407793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.42 % (407793)CaDiCaL version: 2.1.3
% 28.19/4.42 % (407793)Termination reason: Instruction limit
% 28.19/4.42 % (407793)Termination phase: Saturation
% 28.19/4.42 % (407793)Time elapsed: 0.064 s
% 28.19/4.42 % (407793)Peak memory usage: 12 MB
% 28.19/4.42 % (407793)Instructions burned: 103 (million)
% 28.19/4.42 % (407794)Instruction limit reached!
% 28.19/4.42 % (407794)------------------------------
% 28.19/4.42 % (407794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.42 % (407794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.42 % (407794)CaDiCaL version: 2.1.3
% 28.19/4.42 % (407794)Termination reason: Instruction limit
% 28.19/4.42 % (407794)Termination phase: Saturation
% 28.19/4.42 % (407794)Time elapsed: 0.068 s
% 28.19/4.42 % (407794)Peak memory usage: 12 MB
% 28.19/4.42 % (407794)Instructions burned: 117 (million)
% 28.19/4.42 % (407795)Instruction limit reached!
% 28.19/4.42 % (407795)------------------------------
% 28.19/4.42 % (407795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.42 % (407795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.42 % (407795)CaDiCaL version: 2.1.3
% 28.19/4.42 % (407795)Termination reason: Instruction limit
% 28.19/4.42 % (407795)Termination phase: Saturation
% 28.19/4.42 % (407795)Time elapsed: 0.082 s
% 28.19/4.42 % (407795)Peak memory usage: 13 MB
% 28.19/4.42 % (407795)Instructions burned: 132 (million)
% 28.19/4.42 % (407804)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1261140300:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 28.19/4.42 % (407805)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1233076524:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 28.19/4.42 % TRYING [1]
% 28.19/4.42 % TRYING [2]
% 28.19/4.42 % TRYING [3]
% 28.19/4.42 % TRYING [4]
% 28.19/4.42 % (407796)Instruction limit reached!
% 28.19/4.43 % (407796)------------------------------
% 28.19/4.43 % (407796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.19/4.43 % (407796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.19/4.43 % (407796)CaDiCaL version: 2.1.3
% 28.19/4.43 % (407796)Termination reason: Instruction limit
% 28.19/4.43 % (407796)Termination phase: Saturation
% 28.19/4.43 % (407796)Time elapsed: 0.099 s
% 28.19/4.43 % (407796)Peak memory usage: 14 MB
% 28.19/4.43 % (407796)Instructions burned: 159 (million)
% 28.19/4.43 % (407806)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=2566478635:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 28.19/4.43 % TRYING [5]
% 28.19/4.43 % (407809)ott-21_1_sil=16000:fs=off:random_seed=32861103:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 28.19/4.43 % TRYING [6]
% 28.19/4.43 % TRYING [8]
% 28.19/4.43 % (407805)Instruction limit reached!
% 28.19/4.43 % (407805)------------------------------
% 28.19/4.43 % (407805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407805)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407805)Termination reason: Instruction limit
% 36.50/6.35 % (407805)Termination phase: Saturation
% 36.50/6.35 % (407805)Time elapsed: 0.083 s
% 36.50/6.35 % (407805)Peak memory usage: 13 MB
% 36.50/6.35 % (407805)Instructions burned: 132 (million)
% 36.50/6.35 % (407812)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3451183524:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 36.50/6.35 % TRYING [7]
% 36.50/6.35 % (407809)Instruction limit reached!
% 36.50/6.35 % (407809)------------------------------
% 36.50/6.35 % (407809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407809)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407809)Termination reason: Instruction limit
% 36.50/6.35 % (407809)Termination phase: Saturation
% 36.50/6.35 % (407809)Time elapsed: 0.081 s
% 36.50/6.35 % (407809)Peak memory usage: 12 MB
% 36.50/6.35 % (407809)Instructions burned: 181 (million)
% 36.50/6.35 % (407814)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2370314173:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 36.50/6.35 % TRYING [1]
% 36.50/6.35 % TRYING [2]
% 36.50/6.35 % TRYING [3]
% 36.50/6.35 % TRYING [4]
% 36.50/6.35 % TRYING [5]
% 36.50/6.35 % TRYING [6]
% 36.50/6.35 % TRYING [8]
% 36.50/6.35 % (407804)Instruction limit reached!
% 36.50/6.35 % (407804)------------------------------
% 36.50/6.35 % (407804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407804)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407804)Termination reason: Instruction limit
% 36.50/6.35 % (407804)Termination phase: Finite model building constraint generation
% 36.50/6.35 % (407804)Time elapsed: 0.332 s
% 36.50/6.35 % (407804)Peak memory usage: 28 MB
% 36.50/6.35 % (407804)Instructions burned: 715 (million)
% 36.50/6.35 % (407806)Instruction limit reached!
% 36.50/6.35 % (407806)------------------------------
% 36.50/6.35 % (407806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407806)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407806)Termination reason: Instruction limit
% 36.50/6.35 % (407806)Termination phase: Saturation
% 36.50/6.35 % (407806)Time elapsed: 0.326 s
% 36.50/6.35 % (407806)Peak memory usage: 17 MB
% 36.50/6.35 % (407806)Instructions burned: 684 (million)
% 36.50/6.35 % (407816)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=788451213:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 36.50/6.35 % (407817)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1212951259:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 36.50/6.35 % TRYING [9]
% 36.50/6.35 % TRYING [14]
% 36.50/6.35 % (407812)Instruction limit reached!
% 36.50/6.35 % (407812)------------------------------
% 36.50/6.35 % (407812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407812)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407812)Termination reason: Instruction limit
% 36.50/6.35 % (407812)Termination phase: Saturation
% 36.50/6.35 % (407812)Time elapsed: 0.330 s
% 36.50/6.35 % (407812)Peak memory usage: 14 MB
% 36.50/6.35 % (407812)Instructions burned: 478 (million)
% 36.50/6.35 % (407820)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=871306480: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)
% 36.50/6.35 % (407814)Instruction limit reached!
% 36.50/6.35 % (407814)------------------------------
% 36.50/6.35 % (407814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407814)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407814)Termination reason: Instruction limit
% 36.50/6.35 % (407814)Termination phase: Finite model building SAT solving
% 36.50/6.35 % (407814)Time elapsed: 0.340 s
% 36.50/6.35 % (407814)Peak memory usage: 18 MB
% 36.50/6.35 % (407814)Instructions burned: 866 (million)
% 36.50/6.35 % (407822)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2808143115:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 36.50/6.35 % (407817)Instruction limit reached!
% 36.50/6.35 % (407817)------------------------------
% 36.50/6.35 % (407817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407817)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407817)Termination reason: Instruction limit
% 36.50/6.35 % (407817)Termination phase: Finite model building constraint generation
% 36.50/6.35 % (407817)Time elapsed: 0.318 s
% 36.50/6.35 % (407817)Peak memory usage: 72 MB
% 36.50/6.35 % (407817)Instructions burned: 891 (million)
% 36.50/6.35 % (407824)fmb+10_1_sil=64000:random_seed=2735735583:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 36.50/6.35 % TRYING [1]
% 36.50/6.35 % TRYING [2]
% 36.50/6.35 % TRYING [3]
% 36.50/6.35 % TRYING [4]
% 36.50/6.35 % TRYING [5]
% 36.50/6.35 % TRYING [6]
% 36.50/6.35 % (407820)Instruction limit reached!
% 36.50/6.35 % (407820)------------------------------
% 36.50/6.35 % (407820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407820)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407820)Termination reason: Instruction limit
% 36.50/6.35 % (407820)Termination phase: Saturation
% 36.50/6.35 % (407820)Time elapsed: 0.359 s
% 36.50/6.35 % (407820)Peak memory usage: 21 MB
% 36.50/6.35 % (407820)Instructions burned: 692 (million)
% 36.50/6.35 % (407826)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1646422287:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 36.50/6.35 % TRYING [20]
% 36.50/6.35 % TRYING [7]
% 36.50/6.35 % (407822)Instruction limit reached!
% 36.50/6.35 % (407822)------------------------------
% 36.50/6.35 % (407822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407822)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407822)Termination reason: Instruction limit
% 36.50/6.35 % (407822)Termination phase: Saturation
% 36.50/6.35 % (407822)Time elapsed: 0.514 s
% 36.50/6.35 % (407822)Peak memory usage: 20 MB
% 36.50/6.35 % (407822)Instructions burned: 880 (million)
% 36.50/6.35 % (407828)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=147513453:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 36.50/6.35 % TRYING [8]
% 36.50/6.35 % (407816)Instruction limit reached!
% 36.50/6.35 % (407816)------------------------------
% 36.50/6.35 % (407816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407816)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407816)Termination reason: Instruction limit
% 36.50/6.35 % (407816)Termination phase: Saturation
% 36.50/6.35 % (407816)Time elapsed: 0.698 s
% 36.50/6.35 % (407816)Peak memory usage: 22 MB
% 36.50/6.35 % (407816)Instructions burned: 1180 (million)
% 36.50/6.35 % (407830)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2577251664:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 36.50/6.35 % TRYING [8]
% 36.50/6.35 % (407828)Instruction limit reached!
% 36.50/6.35 % (407828)------------------------------
% 36.50/6.35 % (407828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407828)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407828)Termination reason: Instruction limit
% 36.50/6.35 % (407828)Termination phase: Finite model building SAT solving
% 36.50/6.35 % (407828)Time elapsed: 0.484 s
% 36.50/6.35 % (407828)Peak memory usage: 49 MB
% 36.50/6.35 % (407828)Instructions burned: 920 (million)
% 36.50/6.35 % (407832)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1324038:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 36.50/6.35 % TRYING [9]
% 36.50/6.35 % (407832)Instruction limit reached!
% 36.50/6.35 % (407832)------------------------------
% 36.50/6.35 % (407832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407832)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407832)Termination reason: Instruction limit
% 36.50/6.35 % (407832)Termination phase: Saturation
% 36.50/6.35 % (407832)Time elapsed: 0.918 s
% 36.50/6.35 % (407832)Peak memory usage: 27 MB
% 36.50/6.35 % (407832)Instructions burned: 1474 (million)
% 36.50/6.35 % (407834)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=630562157:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 36.50/6.35 % TRYING [77]
% 36.50/6.35 % (407830)Instruction limit reached!
% 36.50/6.35 % (407830)------------------------------
% 36.50/6.35 % (407830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407830)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407830)Termination reason: Instruction limit
% 36.50/6.35 % (407830)Termination phase: Saturation
% 36.50/6.35 % (407830)Time elapsed: 2.810 s
% 36.50/6.35 % (407830)Peak memory usage: 30 MB
% 36.50/6.35 % (407830)Instructions burned: 5135 (million)
% 36.50/6.35 % TRYING [10]
% 36.50/6.35 % (407836)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3624590361:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 36.50/6.35 % TRYING [16]
% 36.50/6.35 % (407836)Instruction limit reached!
% 36.50/6.35 % (407836)------------------------------
% 36.50/6.35 % (407836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407836)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407836)Termination reason: Instruction limit
% 36.50/6.35 % (407836)Termination phase: Finite model building constraint generation
% 36.50/6.35 % (407836)Time elapsed: 0.739 s
% 36.50/6.35 % (407836)Peak memory usage: 135 MB
% 36.50/6.35 % (407836)Instructions burned: 2175 (million)
% 36.50/6.35 % (407838)ott-2_1_sil=16000:newcnf=on:random_seed=1151692283:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2952 on theBenchmark for (2952ds/869Mi)
% 36.50/6.35 % (407834)Instruction limit reached!
% 36.50/6.35 % (407834)------------------------------
% 36.50/6.35 % (407834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407834)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407834)Termination reason: Instruction limit
% 36.50/6.35 % (407834)Termination phase: Finite model building constraint generation
% 36.50/6.35 % (407834)Time elapsed: 2.360 s
% 36.50/6.35 % (407834)Peak memory usage: 509 MB
% 36.50/6.35 % (407834)Instructions burned: 6326 (million)
% 36.50/6.35 % (407840)ott+10_1_sil=32000:tgt=ground:random_seed=4228101853:i=5114:av=off_2949 on theBenchmark for (2949ds/5114Mi)
% 36.50/6.35 % TRYING [10]
% 36.50/6.35 % (407838)Instruction limit reached!
% 36.50/6.35 % (407838)------------------------------
% 36.50/6.35 % (407838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407838)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407838)Termination reason: Instruction limit
% 36.50/6.35 % (407838)Termination phase: Saturation
% 36.50/6.35 % (407838)Time elapsed: 0.508 s
% 36.50/6.35 % (407838)Peak memory usage: 18 MB
% 36.50/6.35 % (407838)Instructions burned: 869 (million)
% 36.50/6.35 % (407842)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1332082455:i=54282_2946 on theBenchmark for (2946ds/54282Mi)
% 36.50/6.35 % TRYING [1]
% 36.50/6.35 % TRYING [2]
% 36.50/6.35 % TRYING [3]
% 36.50/6.35 % TRYING [4]
% 36.50/6.35 % TRYING [5]
% 36.50/6.35 % TRYING [6]
% 36.50/6.35 % TRYING [7]
% 36.50/6.35 % TRYING [8]
% 36.50/6.35 % (407840) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-407785-407840"...
% 36.50/6.35 % (407840)...printing done.
% 36.50/6.35 % (407840)Refutation found. Thanks to Tanya!
% 36.50/6.35 % SZS status Theorem for theBenchmark
% 36.50/6.35 % SZS output start Proof for theBenchmark
% See solution above
% 36.50/6.35 % (407840)------------------------------
% 36.50/6.35 % (407840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.50/6.35 % (407840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.35 % (407840)CaDiCaL version: 2.1.3
% 36.50/6.35 % (407840)Termination reason: Refutation
% 36.50/6.35 % (407840)Time elapsed: 0.787 s
% 36.50/6.35 % (407840)Peak memory usage: 22 MB
% 36.50/6.35 % (407840)Instructions burned: 1348 (million)
% 36.50/6.35 % (407785)Success in time 5.935 s
% 36.50/6.35 % Vampire exiting
%------------------------------------------------------------------------------