%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU058+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 : n003.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 37.76s 6.04s
% Output : Refutation 37.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 110 ( 20 unt; 5 def)
% Number of atoms : 429 ( 62 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 551 ( 232 ~; 255 |; 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(f6,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(f7,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(f28,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> relation_inverse_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t137_funct_1) ).
fof(f29,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> relation_inverse_image(X2,set_intersection2(X0,X1)) = set_intersection2(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f52,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,[],[f6]) ).
fof(f53,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,[],[f52]) ).
fof(f60,plain,
? [X0,X1,X2] :
( relation_inverse_image(X2,set_intersection2(X0,X1)) != set_intersection2(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f61,plain,
? [X0,X1,X2] :
( relation_inverse_image(X2,set_intersection2(X0,X1)) != set_intersection2(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& relation(X2)
& function(X2) ),
inference(flattening,[],[f60]) ).
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) ) ) )
& ( ! [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,[],[f53]) ).
fof(f74,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,[],[f73]) ).
fof(f75,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,[],[f74]) ).
fof(f76,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))],[f75]) ).
fof(f77,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,[],[f7]) ).
fof(f78,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,[],[f77]) ).
fof(f79,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,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(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_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f79]) ).
fof(f92,plain,
( relation_inverse_image(sK15,set_intersection2(sK13,sK14)) != set_intersection2(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)],[f61]) ).
fof(f101,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,[],[f76]) ).
fof(f102,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,[],[f76]) ).
fof(f103,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,[],[f76]) ).
fof(f104,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,[],[f76]) ).
fof(f105,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,[],[f76]) ).
fof(f106,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,[],[f76]) ).
fof(f107,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f80]) ).
fof(f108,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f80]) ).
fof(f109,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f80]) ).
fof(f144,plain,
function(sK15),
inference(cnf_transformation,[],[f92]) ).
fof(f145,plain,
relation(sK15),
inference(cnf_transformation,[],[f92]) ).
fof(f146,plain,
relation_inverse_image(sK15,set_intersection2(sK13,sK14)) != set_intersection2(relation_inverse_image(sK15,sK13),relation_inverse_image(sK15,sK14)),
inference(cnf_transformation,[],[f92]) ).
fof(f158,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,[],[f103]) ).
fof(f159,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f102]) ).
fof(f160,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f101]) ).
fof(f161,plain,
! [X0,X1,X4] :
( in(X4,set_intersection2(X0,X1))
| ~ in(X4,X0)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f109]) ).
fof(f162,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f108]) ).
fof(f163,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f107]) ).
fof(f164,definition,
sF17 = set_intersection2(sK13,sK14),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f165,plain,
set_intersection2(sK13,sK14) = sF17,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF18 = relation_inverse_image(sK15,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f167,plain,
relation_inverse_image(sK15,sF17) = sF18,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF19 = relation_inverse_image(sK15,sK13),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f169,plain,
relation_inverse_image(sK15,sK13) = sF19,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF20 = relation_inverse_image(sK15,sK14),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f171,plain,
relation_inverse_image(sK15,sK14) = sF20,
inference(reorient_equations,[],[f170]) ).
fof(f172,definition,
sF21 = set_intersection2(sF19,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f173,plain,
set_intersection2(sF19,sF20) = sF21,
inference(reorient_equations,[],[f172]) ).
fof(f174,plain,
sF18 != sF21,
inference(definition_folding,[],[f146,f173,f171,f169,f167,f165]) ).
fof(f280,plain,
! [X0] :
( ~ in(X0,sF17)
| in(X0,sK13) ),
inference(superposition,[],[f162,f165]) ).
fof(f281,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sF19) ),
inference(superposition,[],[f162,f173]) ).
fof(f287,plain,
! [X0] :
( ~ in(X0,sF17)
| in(X0,sK14) ),
inference(superposition,[],[f163,f165]) ).
fof(f288,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sF20) ),
inference(superposition,[],[f163,f173]) ).
fof(f317,plain,
! [X0] :
( ~ in(X0,sK14)
| ~ in(X0,sK13)
| in(X0,sF17) ),
inference(superposition,[],[f161,f165]) ).
fof(f318,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ in(X0,sF19)
| in(X0,sF21) ),
inference(superposition,[],[f161,f173]) ).
fof(f348,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,relation_dom(sK15))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f159,f167]) ).
fof(f350,plain,
! [X0] :
( ~ in(X0,sF20)
| in(X0,relation_dom(sK15))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f159,f171]) ).
fof(f351,plain,
! [X0] :
( ~ in(X0,sF20)
| in(X0,relation_dom(sK15))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f350,f145]) ).
fof(f353,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,relation_dom(sK15))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f348,f145]) ).
fof(f354,plain,
! [X0] :
( in(X0,relation_dom(sK15))
| ~ in(X0,sF20) ),
inference(forward_subsumption_resolution,[],[f351,f144]) ).
fof(f356,plain,
! [X0] :
( in(X0,relation_dom(sK15))
| ~ in(X0,sF18) ),
inference(forward_subsumption_resolution,[],[f353,f144]) ).
fof(f364,plain,
! [X0] :
( ~ in(X0,sF18)
| in(apply(sK15,X0),sF17)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f160,f167]) ).
fof(f365,plain,
! [X0] :
( ~ in(X0,sF19)
| in(apply(sK15,X0),sK13)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f160,f169]) ).
fof(f366,plain,
! [X0] :
( ~ in(X0,sF20)
| in(apply(sK15,X0),sK14)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[],[f160,f171]) ).
fof(f367,plain,
! [X0] :
( ~ in(X0,sF20)
| in(apply(sK15,X0),sK14)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f366,f145]) ).
fof(f368,plain,
! [X0] :
( ~ in(X0,sF19)
| in(apply(sK15,X0),sK13)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f365,f145]) ).
fof(f369,plain,
! [X0] :
( ~ in(X0,sF18)
| in(apply(sK15,X0),sF17)
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f364,f145]) ).
fof(f370,plain,
! [X0] :
( in(apply(sK15,X0),sK14)
| ~ in(X0,sF20) ),
inference(forward_subsumption_resolution,[],[f367,f144]) ).
fof(f371,plain,
! [X0] :
( in(apply(sK15,X0),sK13)
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f368,f144]) ).
fof(f372,plain,
! [X0] :
( in(apply(sK15,X0),sF17)
| ~ in(X0,sF18) ),
inference(forward_subsumption_resolution,[],[f369,f144]) ).
fof(f454,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,[],[f104,f158]) ).
fof(f474,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,[],[f454]) ).
fof(f475,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,[],[f474,f105]) ).
fof(f538,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,[],[f372,f106]) ).
fof(f539,plain,
! [X0] :
( in(apply(sK15,X0),sK13)
| ~ in(X0,sF18) ),
inference(resolution,[],[f372,f280]) ).
fof(f543,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,[],[f538,f145]) ).
fof(f545,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,[],[f543,f144]) ).
fof(f547,plain,
! [X0] :
( ~ in(sK0(sK15,sF17,X0),sF18)
| relation_inverse_image(sK15,sF17) = X0
| ~ in(sK0(sK15,sF17,X0),X0) ),
inference(forward_subsumption_resolution,[],[f545,f356]) ).
fof(f549,plain,
! [X0] :
( ~ in(sK0(sK15,sF17,X0),sF18)
| sF18 = X0
| ~ in(sK0(sK15,sF17,X0),X0) ),
inference(forward_demodulation,[],[f547,f167]) ).
fof(f559,plain,
! [X0] :
( in(apply(sK15,X0),sK14)
| ~ in(X0,sF18) ),
inference(resolution,[],[f287,f372]) ).
fof(f661,plain,
! [X0] :
( ~ in(apply(sK15,X0),sK13)
| in(apply(sK15,X0),sF17)
| ~ in(X0,sF20) ),
inference(resolution,[],[f317,f370]) ).
fof(f1086,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK13))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(resolution,[],[f539,f158]) ).
fof(f1092,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK13))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f1086,f145]) ).
fof(f1094,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK13)) ),
inference(forward_subsumption_resolution,[],[f1092,f144]) ).
fof(f1096,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,relation_inverse_image(sK15,sK13)) ),
inference(forward_subsumption_resolution,[],[f1094,f356]) ).
fof(f1098,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sF19) ),
inference(forward_demodulation,[],[f1096,f169]) ).
fof(f1738,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK14))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(resolution,[],[f559,f158]) ).
fof(f1745,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK14))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f1738,f145]) ).
fof(f1747,plain,
! [X0] :
( ~ in(X0,sF18)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sK14)) ),
inference(forward_subsumption_resolution,[],[f1745,f144]) ).
fof(f1749,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,relation_inverse_image(sK15,sK14)) ),
inference(forward_subsumption_resolution,[],[f1747,f356]) ).
fof(f1751,plain,
! [X0] :
( ~ in(X0,sF18)
| in(X0,sF20) ),
inference(forward_demodulation,[],[f1749,f171]) ).
fof(f2314,plain,
! [X0] :
( in(sK0(sK15,sF17,X0),sF18)
| in(sK0(sK15,sF17,X0),X0)
| ~ relation(sK15)
| ~ function(sK15)
| sF18 = X0 ),
inference(superposition,[],[f475,f167]) ).
fof(f2321,plain,
! [X0] :
( in(sK0(sK15,sF17,X0),sF18)
| in(sK0(sK15,sF17,X0),X0)
| ~ function(sK15)
| sF18 = X0 ),
inference(forward_subsumption_resolution,[],[f2314,f145]) ).
fof(f2324,plain,
! [X0] :
( in(sK0(sK15,sF17,X0),sF18)
| in(sK0(sK15,sF17,X0),X0)
| sF18 = X0 ),
inference(forward_subsumption_resolution,[],[f2321,f144]) ).
fof(f3651,plain,
! [X0] :
( in(apply(sK15,X0),sF17)
| ~ in(X0,sF20)
| ~ in(X0,sF19) ),
inference(resolution,[],[f661,f371]) ).
fof(f3925,plain,
( in(sK0(sK15,sF17,sF21),sF18)
| sF18 = sF21
| in(sK0(sK15,sF17,sF21),sF20) ),
inference(resolution,[],[f2324,f288]) ).
fof(f3926,plain,
( in(sK0(sK15,sF17,sF21),sF18)
| sF18 = sF21
| in(sK0(sK15,sF17,sF21),sF19) ),
inference(resolution,[],[f2324,f281]) ).
fof(f3929,plain,
( sF18 = sF21
| in(sK0(sK15,sF17,sF21),sF19) ),
inference(forward_subsumption_resolution,[],[f3926,f1098]) ).
fof(f3930,plain,
( sF18 = sF21
| in(sK0(sK15,sF17,sF21),sF20) ),
inference(forward_subsumption_resolution,[],[f3925,f1751]) ).
fof(f3935,plain,
in(sK0(sK15,sF17,sF21),sF19),
inference(forward_subsumption_resolution,[],[f3929,f174]) ).
fof(f3936,plain,
in(sK0(sK15,sF17,sF21),sF20),
inference(forward_subsumption_resolution,[],[f3930,f174]) ).
fof(f4098,plain,
( ~ in(sK0(sK15,sF17,sF21),sF19)
| in(sK0(sK15,sF17,sF21),sF21) ),
inference(resolution,[],[f3936,f318]) ).
fof(f4104,plain,
in(sK0(sK15,sF17,sF21),sF21),
inference(forward_subsumption_resolution,[],[f4098,f3935]) ).
fof(f23235,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sF17))
| ~ relation(sK15)
| ~ function(sK15) ),
inference(resolution,[],[f3651,f158]) ).
fof(f23245,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sF17))
| ~ function(sK15) ),
inference(forward_subsumption_resolution,[],[f23235,f145]) ).
fof(f23251,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ in(X0,sF19)
| ~ in(X0,relation_dom(sK15))
| in(X0,relation_inverse_image(sK15,sF17)) ),
inference(forward_subsumption_resolution,[],[f23245,f144]) ).
fof(f23257,plain,
! [X0] :
( ~ in(X0,sF20)
| ~ in(X0,sF19)
| in(X0,relation_inverse_image(sK15,sF17)) ),
inference(forward_subsumption_resolution,[],[f23251,f354]) ).
fof(f23262,plain,
! [X0] :
( ~ in(X0,sF20)
| in(X0,sF18)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f23257,f167]) ).
fof(f23340,plain,
( in(sK0(sK15,sF17,sF21),sF18)
| ~ in(sK0(sK15,sF17,sF21),sF19) ),
inference(resolution,[],[f23262,f3936]) ).
fof(f23597,plain,
in(sK0(sK15,sF17,sF21),sF18),
inference(forward_subsumption_resolution,[],[f23340,f3935]) ).
fof(f23998,plain,
( sF18 = sF21
| ~ in(sK0(sK15,sF17,sF21),sF21) ),
inference(resolution,[],[f23597,f549]) ).
fof(f24008,plain,
~ in(sK0(sK15,sF17,sF21),sF21),
inference(forward_subsumption_resolution,[],[f23998,f174]) ).
fof(f24009,plain,
$false,
inference(forward_subsumption_resolution,[],[f24008,f4104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU058+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 03:29:57 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 15.54/2.73 % (1155690)Will run a generic schedule for satisfiability detection.
% 15.54/2.73 % (1155697)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=302165335:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.54/2.73 % (1155695)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4137133094_2999 on theBenchmark for (2999ds/0Mi)
% 15.54/2.73 % (1155701)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4106051490:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.54/2.73 % (1155698)dis+10_1_sil=32000:sp=arity:random_seed=3004739453:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.54/2.73 % (1155699)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1818193918:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.54/2.73 % (1155700)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3034153130:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.54/2.73 % (1155696)% WARNING: option uhcvi not known.
% 15.54/2.73 % TRYING [1]
% 15.54/2.73 % TRYING [2]
% 15.54/2.73 % TRYING [3]
% 15.54/2.73 % (1155696)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1000114610:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.54/2.73 % TRYING [4]
% 15.54/2.73 % TRYING [5]
% 15.54/2.73 % TRYING [6]
% 15.54/2.73 % (1155698)Instruction limit reached!
% 15.54/2.73 % (1155698)------------------------------
% 15.54/2.73 % (1155698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.54/2.73 % (1155698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.54/2.73 % (1155698)CaDiCaL version: 2.1.3
% 15.54/2.73 % (1155698)Termination reason: Instruction limit
% 15.54/2.73 % (1155698)Termination phase: Saturation
% 15.54/2.73 % (1155698)Time elapsed: 0.062 s
% 15.54/2.73 % (1155698)Peak memory usage: 12 MB
% 15.54/2.73 % (1155698)Instructions burned: 103 (million)
% 15.54/2.73 % (1155699)Instruction limit reached!
% 15.54/2.73 % (1155699)------------------------------
% 15.54/2.73 % (1155699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.54/2.73 % (1155699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.54/2.73 % (1155699)CaDiCaL version: 2.1.3
% 15.54/2.73 % (1155699)Termination reason: Instruction limit
% 15.54/2.73 % (1155699)Termination phase: Saturation
% 15.54/2.73 % (1155699)Time elapsed: 0.066 s
% 15.54/2.73 % (1155699)Peak memory usage: 13 MB
% 15.54/2.73 % (1155699)Instructions burned: 116 (million)
% 15.54/2.73 % (1155700)Instruction limit reached!
% 15.54/2.73 % (1155700)------------------------------
% 15.54/2.73 % (1155700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.54/2.73 % (1155700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.54/2.73 % (1155709)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1798824657:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.54/2.73 % (1155700)CaDiCaL version: 2.1.3
% 15.54/2.73 % (1155700)Termination reason: Instruction limit
% 15.54/2.73 % (1155700)Termination phase: Saturation
% 15.54/2.73 % (1155700)Time elapsed: 0.081 s
% 15.54/2.73 % (1155700)Peak memory usage: 13 MB
% 15.54/2.73 % (1155700)Instructions burned: 132 (million)
% 15.54/2.73 % TRYING [1]
% 15.54/2.73 % (1155710)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2430629013:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.54/2.73 % TRYING [2]
% 15.54/2.73 % TRYING [3]
% 15.54/2.73 % TRYING [4]
% 15.54/2.73 % (1155701)Instruction limit reached!
% 15.54/2.73 % (1155701)------------------------------
% 15.54/2.73 % (1155701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.54/2.73 % (1155701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.54/2.73 % (1155701)CaDiCaL version: 2.1.3
% 15.54/2.73 % (1155701)Termination reason: Instruction limit
% 15.54/2.73 % (1155701)Termination phase: Saturation
% 15.54/2.73 % (1155701)Time elapsed: 0.094 s
% 15.54/2.73 % (1155701)Peak memory usage: 13 MB
% 15.54/2.73 % (1155701)Instructions burned: 159 (million)
% 15.54/2.73 % (1155712)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=308811537:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.54/2.73 % TRYING [5]
% 15.54/2.73 % (1155714)ott-21_1_sil=16000:fs=off:random_seed=4157054049:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.54/2.73 % TRYING [6]
% 15.54/2.73 % (1155710)Instruction limit reached!
% 15.54/2.73 % (1155710)------------------------------
% 15.54/2.73 % (1155710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.03 % (1155710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.03 % (1155710)CaDiCaL version: 2.1.3
% 37.76/6.03 % (1155710)Termination reason: Instruction limit
% 37.76/6.03 % (1155710)Termination phase: Saturation
% 37.76/6.03 % (1155710)Time elapsed: 0.083 s
% 37.76/6.03 % (1155710)Peak memory usage: 13 MB
% 37.76/6.03 % (1155710)Instructions burned: 132 (million)
% 37.76/6.03 % (1155717)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=910711211:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 37.76/6.03 % TRYING [7]
% 37.76/6.03 % (1155714)Instruction limit reached!
% 37.76/6.03 % (1155714)------------------------------
% 37.76/6.03 % (1155714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.03 % (1155714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.03 % (1155714)CaDiCaL version: 2.1.3
% 37.76/6.03 % (1155714)Termination reason: Instruction limit
% 37.76/6.03 % (1155714)Termination phase: Saturation
% 37.76/6.03 % (1155714)Time elapsed: 0.091 s
% 37.76/6.03 % (1155714)Peak memory usage: 12 MB
% 37.76/6.03 % (1155714)Instructions burned: 181 (million)
% 37.76/6.03 % TRYING [7]
% 37.76/6.03 % (1155719)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1585673264:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 37.76/6.03 % TRYING [1]
% 37.76/6.03 % TRYING [2]
% 37.76/6.03 % TRYING [3]
% 37.76/6.03 % TRYING [4]
% 37.76/6.03 % TRYING [5]
% 37.76/6.03 % TRYING [6]
% 37.76/6.03 % (1155709)Instruction limit reached!
% 37.76/6.03 % (1155709)------------------------------
% 37.76/6.03 % (1155709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.03 % (1155709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.03 % (1155709)CaDiCaL version: 2.1.3
% 37.76/6.03 % (1155709)Termination reason: Instruction limit
% 37.76/6.03 % (1155709)Termination phase: Finite model building SAT solving
% 37.76/6.03 % (1155709)Time elapsed: 0.314 s
% 37.76/6.03 % (1155709)Peak memory usage: 29 MB
% 37.76/6.03 % (1155709)Instructions burned: 715 (million)
% 37.76/6.03 % (1155721)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=344190371:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 37.76/6.03 % (1155712)Instruction limit reached!
% 37.76/6.03 % (1155712)------------------------------
% 37.76/6.03 % (1155712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.03 % (1155712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.03 % (1155712)CaDiCaL version: 2.1.3
% 37.76/6.03 % (1155712)Termination reason: Instruction limit
% 37.76/6.03 % (1155712)Termination phase: Saturation
% 37.76/6.03 % (1155712)Time elapsed: 0.324 s
% 37.76/6.03 % (1155712)Peak memory usage: 18 MB
% 37.76/6.03 % (1155712)Instructions burned: 685 (million)
% 37.76/6.03 % (1155723)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1114976315:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 37.76/6.03 % (1155717)Instruction limit reached!
% 37.76/6.03 % (1155717)------------------------------
% 37.76/6.03 % (1155717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.03 % (1155717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.03 % (1155717)CaDiCaL version: 2.1.3
% 37.76/6.03 % (1155717)Termination reason: Instruction limit
% 37.76/6.03 % (1155717)Termination phase: Saturation
% 37.76/6.03 % (1155717)Time elapsed: 0.320 s
% 37.76/6.03 % (1155717)Peak memory usage: 14 MB
% 37.76/6.03 % (1155717)Instructions burned: 478 (million)
% 37.76/6.03 % TRYING [14]
% 37.76/6.03 % (1155725)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=811597373: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)
% 37.76/6.03 % (1155719)Instruction limit reached!
% 37.76/6.03 % (1155719)------------------------------
% 37.76/6.03 % (1155719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.03 % (1155719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.03 % (1155719)CaDiCaL version: 2.1.3
% 37.76/6.03 % (1155719)Termination reason: Instruction limit
% 37.76/6.03 % (1155719)Termination phase: Finite model building constraint generation
% 37.76/6.03 % (1155719)Time elapsed: 0.334 s
% 37.76/6.03 % (1155719)Peak memory usage: 18 MB
% 37.76/6.03 % (1155719)Instructions burned: 866 (million)
% 37.76/6.03 % (1155727)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=120654995:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 37.76/6.03 % TRYING [8]
% 37.76/6.03 % (1155723)Instruction limit reached!
% 37.76/6.03 % (1155723)------------------------------
% 37.76/6.03 % (1155723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.03 % (1155723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.03 % (1155723)CaDiCaL version: 2.1.3
% 37.76/6.03 % (1155723)Termination reason: Instruction limit
% 37.76/6.03 % (1155723)Termination phase: Finite model building constraint generation
% 37.76/6.03 % (1155723)Time elapsed: 0.319 s
% 37.76/6.03 % (1155723)Peak memory usage: 72 MB
% 37.76/6.03 % (1155723)Instructions burned: 891 (million)
% 37.76/6.03 % (1155729)fmb+10_1_sil=64000:random_seed=3522514211:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 37.76/6.03 % TRYING [1]
% 37.76/6.03 % TRYING [2]
% 37.76/6.03 % TRYING [3]
% 37.76/6.03 % TRYING [4]
% 37.76/6.03 % TRYING [5]
% 37.76/6.03 % TRYING [6]
% 37.76/6.03 % (1155725)Instruction limit reached!
% 37.76/6.03 % (1155725)------------------------------
% 37.76/6.03 % (1155725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.03 % (1155725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155725)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155725)Termination reason: Instruction limit
% 37.76/6.04 % (1155725)Termination phase: Saturation
% 37.76/6.04 % (1155725)Time elapsed: 0.424 s
% 37.76/6.04 % (1155725)Peak memory usage: 20 MB
% 37.76/6.04 % (1155725)Instructions burned: 693 (million)
% 37.76/6.04 % (1155731)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2661907679:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 37.76/6.04 % TRYING [20]
% 37.76/6.04 % TRYING [7]
% 37.76/6.04 % (1155727)Instruction limit reached!
% 37.76/6.04 % (1155727)------------------------------
% 37.76/6.04 % (1155727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155727)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155727)Termination reason: Instruction limit
% 37.76/6.04 % (1155727)Termination phase: Saturation
% 37.76/6.04 % (1155727)Time elapsed: 0.499 s
% 37.76/6.04 % (1155727)Peak memory usage: 20 MB
% 37.76/6.04 % (1155727)Instructions burned: 879 (million)
% 37.76/6.04 % (1155721)Instruction limit reached!
% 37.76/6.04 % (1155721)------------------------------
% 37.76/6.04 % (1155721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155721)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155721)Termination reason: Instruction limit
% 37.76/6.04 % (1155721)Termination phase: Saturation
% 37.76/6.04 % (1155721)Time elapsed: 0.672 s
% 37.76/6.04 % (1155721)Peak memory usage: 20 MB
% 37.76/6.04 % (1155721)Instructions burned: 1180 (million)
% 37.76/6.04 % (1155733)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1513445262:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 37.76/6.04 % TRYING [8]
% 37.76/6.04 % (1155734)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2216126845:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 37.76/6.04 % TRYING [8]
% 37.76/6.04 % (1155733)Instruction limit reached!
% 37.76/6.04 % (1155733)------------------------------
% 37.76/6.04 % (1155733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155733)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155733)Termination reason: Instruction limit
% 37.76/6.04 % (1155733)Termination phase: Finite model building SAT solving
% 37.76/6.04 % (1155733)Time elapsed: 0.458 s
% 37.76/6.04 % (1155733)Peak memory usage: 50 MB
% 37.76/6.04 % (1155733)Instructions burned: 922 (million)
% 37.76/6.04 % (1155737)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3572298609:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 37.76/6.04 % (1155737)Instruction limit reached!
% 37.76/6.04 % (1155737)------------------------------
% 37.76/6.04 % (1155737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155737)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155737)Termination reason: Instruction limit
% 37.76/6.04 % (1155737)Termination phase: Saturation
% 37.76/6.04 % (1155737)Time elapsed: 0.689 s
% 37.76/6.04 % (1155737)Peak memory usage: 22 MB
% 37.76/6.04 % (1155737)Instructions burned: 1474 (million)
% 37.76/6.04 % (1155739)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1714183249:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 37.76/6.04 % TRYING [77]
% 37.76/6.04 % (1155734)Instruction limit reached!
% 37.76/6.04 % (1155734)------------------------------
% 37.76/6.04 % (1155734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155734)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155734)Termination reason: Instruction limit
% 37.76/6.04 % (1155734)Termination phase: Saturation
% 37.76/6.04 % (1155734)Time elapsed: 2.650 s
% 37.76/6.04 % (1155734)Peak memory usage: 30 MB
% 37.76/6.04 % (1155734)Instructions burned: 5133 (million)
% 37.76/6.04 % (1155741)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3673835756:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 37.76/6.04 % TRYING [16]
% 37.76/6.04 % (1155741)Instruction limit reached!
% 37.76/6.04 % (1155741)------------------------------
% 37.76/6.04 % (1155741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155741)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155741)Termination reason: Instruction limit
% 37.76/6.04 % (1155741)Termination phase: Finite model building constraint generation
% 37.76/6.04 % (1155741)Time elapsed: 0.736 s
% 37.76/6.04 % (1155741)Peak memory usage: 135 MB
% 37.76/6.04 % (1155741)Instructions burned: 2175 (million)
% 37.76/6.04 % (1155743)ott-2_1_sil=16000:newcnf=on:random_seed=3617323712:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 37.76/6.04 % (1155739)Instruction limit reached!
% 37.76/6.04 % (1155739)------------------------------
% 37.76/6.04 % (1155739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155739)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155739)Termination reason: Instruction limit
% 37.76/6.04 % (1155739)Termination phase: Finite model building constraint generation
% 37.76/6.04 % (1155739)Time elapsed: 2.334 s
% 37.76/6.04 % (1155739)Peak memory usage: 508 MB
% 37.76/6.04 % (1155739)Instructions burned: 6326 (million)
% 37.76/6.04 % (1155745)ott+10_1_sil=32000:tgt=ground:random_seed=3129272410:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 37.76/6.04 % (1155743)Instruction limit reached!
% 37.76/6.04 % (1155743)------------------------------
% 37.76/6.04 % (1155743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155743)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155743)Termination reason: Instruction limit
% 37.76/6.04 % (1155743)Termination phase: Saturation
% 37.76/6.04 % (1155743)Time elapsed: 0.496 s
% 37.76/6.04 % (1155743)Peak memory usage: 18 MB
% 37.76/6.04 % (1155743)Instructions burned: 870 (million)
% 37.76/6.04 % (1155747)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3201466161:i=54282_2949 on theBenchmark for (2949ds/54282Mi)
% 37.76/6.04 % TRYING [1]
% 37.76/6.04 % TRYING [2]
% 37.76/6.04 % TRYING [3]
% 37.76/6.04 % TRYING [4]
% 37.76/6.04 % TRYING [5]
% 37.76/6.04 % TRYING [6]
% 37.76/6.04 % TRYING [7]
% 37.76/6.04 % (1155745) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1155690-1155745"...
% 37.76/6.04 % (1155745)...printing done.
% 37.76/6.04 % (1155745)Refutation found. Thanks to Tanya!
% 37.76/6.04 % SZS status Theorem for theBenchmark
% 37.76/6.04 % SZS output start Proof for theBenchmark
% See solution above
% 37.76/6.04 % (1155745)------------------------------
% 37.76/6.04 % (1155745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.76/6.04 % (1155745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.76/6.04 % (1155745)CaDiCaL version: 2.1.3
% 37.76/6.04 % (1155745)Termination reason: Refutation
% 37.76/6.04 % (1155745)Time elapsed: 0.770 s
% 37.76/6.04 % (1155745)Peak memory usage: 22 MB
% 37.76/6.04 % (1155745)Instructions burned: 1360 (million)
% 37.76/6.04 % (1155690)Success in time 5.622 s
% 37.76/6.04 % Vampire exiting
%------------------------------------------------------------------------------