TSTP Solution File: SEU203+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:23:48 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 80 ( 13 unt; 0 def)
% Number of atoms : 312 ( 12 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 354 ( 122 ~; 132 |; 70 &)
% ( 18 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 200 ( 153 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2331,plain,
$false,
inference(subsumption_resolution,[],[f2288,f2289]) ).
fof(f2289,plain,
in(sK13(sK6,sK7,sK5),relation_dom(sK7)),
inference(unit_resulting_resolution,[],[f2241,f374]) ).
fof(f374,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK7)
| in(X0,relation_dom(sK7)) ),
inference(resolution,[],[f370,f136]) ).
fof(f136,plain,
! [X0,X6,X5] :
( ~ sP19(X5,X0)
| ~ in(ordered_pair(X5,X6),X0) ),
inference(general_splitting,[],[f98,f135_D]) ).
fof(f135,plain,
! [X0,X1,X5] :
( ~ sP0(X0,X1)
| in(X5,X1)
| sP19(X5,X0) ),
inference(cnf_transformation,[],[f135_D]) ).
fof(f135_D,plain,
! [X0,X5] :
( ! [X1] :
( ~ sP0(X0,X1)
| in(X5,X1) )
<=> ~ sP19(X5,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).
fof(f98,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ! [X3] : ~ in(ordered_pair(sK9(X0,X1),X3),X0)
| ~ in(sK9(X0,X1),X1) )
& ( in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0)
| in(sK9(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK11(X0,X5)),X0)
| ~ in(X5,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f62,f65,f64,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK9(X0,X1),X3),X0)
| ~ in(sK9(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK9(X0,X1),X4),X0)
| in(sK9(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK9(X0,X1),X4),X0)
=> in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK11(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f370,plain,
! [X0] :
( sP19(X0,sK7)
| in(X0,relation_dom(sK7)) ),
inference(resolution,[],[f135,f227]) ).
fof(f227,plain,
sP0(sK7,relation_dom(sK7)),
inference(unit_resulting_resolution,[],[f138,f133]) ).
fof(f133,plain,
! [X0] :
( ~ sP1(X0)
| sP0(X0,relation_dom(X0)) ),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( sP0(X0,X1)
| relation_dom(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| relation_dom(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f138,plain,
sP1(sK7),
inference(unit_resulting_resolution,[],[f86,f101]) ).
fof(f101,plain,
! [X0] :
( ~ relation(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( sP1(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f34,f48,f47]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f86,plain,
relation(sK7),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( ! [X3] :
( ~ in(X3,sK6)
| ~ in(ordered_pair(X3,sK5),sK7)
| ~ in(X3,relation_dom(sK7)) )
| ~ in(sK5,relation_image(sK7,sK6)) )
& ( ( in(sK8,sK6)
& in(ordered_pair(sK8,sK5),sK7)
& in(sK8,relation_dom(sK7)) )
| in(sK5,relation_image(sK7,sK6)) )
& relation(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f56,f58,f57]) ).
fof(f57,plain,
( ? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X0),X2)
& in(X4,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) )
=> ( ( ! [X3] :
( ~ in(X3,sK6)
| ~ in(ordered_pair(X3,sK5),sK7)
| ~ in(X3,relation_dom(sK7)) )
| ~ in(sK5,relation_image(sK7,sK6)) )
& ( ? [X4] :
( in(X4,sK6)
& in(ordered_pair(X4,sK5),sK7)
& in(X4,relation_dom(sK7)) )
| in(sK5,relation_image(sK7,sK6)) )
& relation(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X4] :
( in(X4,sK6)
& in(ordered_pair(X4,sK5),sK7)
& in(X4,relation_dom(sK7)) )
=> ( in(sK8,sK6)
& in(ordered_pair(sK8,sK5),sK7)
& in(sK8,relation_dom(sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X0),X2)
& in(X4,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,relation_dom(X2)) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ( in(X0,relation_image(X2,X1))
<~> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,X1)
& in(ordered_pair(X3,X0),X2)
& in(X3,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f2241,plain,
in(ordered_pair(sK13(sK6,sK7,sK5),sK5),sK7),
inference(unit_resulting_resolution,[],[f2223,f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| in(ordered_pair(sK13(X0,X1,X2),X2),X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(ordered_pair(X3,X2),X1) ) )
& ( ( in(sK13(X0,X1,X2),X0)
& in(ordered_pair(sK13(X0,X1,X2),X2),X1) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f73,f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ? [X4] :
( in(X4,X0)
& in(ordered_pair(X4,X2),X1) )
=> ( in(sK13(X0,X1,X2),X0)
& in(ordered_pair(sK13(X0,X1,X2),X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(ordered_pair(X3,X2),X1) ) )
& ( ? [X4] :
( in(X4,X0)
& in(ordered_pair(X4,X2),X1) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0,X3] :
( ( sP2(X1,X0,X3)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| ~ sP2(X1,X0,X3) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0,X3] :
( sP2(X1,X0,X3)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2223,plain,
sP2(sK6,sK7,sK5),
inference(unit_resulting_resolution,[],[f333,f2206,f104]) ).
fof(f104,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ in(X4,X2)
| sP2(X1,X0,X4) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( ( ~ sP2(X1,X0,sK12(X0,X1,X2))
| ~ in(sK12(X0,X1,X2),X2) )
& ( sP2(X1,X0,sK12(X0,X1,X2))
| in(sK12(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ sP2(X1,X0,X4) )
& ( sP2(X1,X0,X4)
| ~ in(X4,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f69,f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sP2(X1,X0,X3)
| ~ in(X3,X2) )
& ( sP2(X1,X0,X3)
| in(X3,X2) ) )
=> ( ( ~ sP2(X1,X0,sK12(X0,X1,X2))
| ~ in(sK12(X0,X1,X2),X2) )
& ( sP2(X1,X0,sK12(X0,X1,X2))
| in(sK12(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ( ~ sP2(X1,X0,X3)
| ~ in(X3,X2) )
& ( sP2(X1,X0,X3)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ sP2(X1,X0,X4) )
& ( sP2(X1,X0,X4)
| ~ in(X4,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ( ~ sP2(X1,X0,X3)
| ~ in(X3,X2) )
& ( sP2(X1,X0,X3)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ sP2(X1,X0,X3) )
& ( sP2(X1,X0,X3)
| ~ in(X3,X2) ) )
| ~ sP3(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( sP3(X0,X1,X2)
<=> ! [X3] :
( in(X3,X2)
<=> sP2(X1,X0,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2206,plain,
in(sK5,relation_image(sK7,sK6)),
inference(subsumption_resolution,[],[f2204,f722]) ).
fof(f722,plain,
! [X0,X1] :
( ~ sP2(X0,sK7,X1)
| in(X1,relation_image(sK7,X0)) ),
inference(resolution,[],[f105,f333]) ).
fof(f105,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ sP2(X1,X0,X4)
| in(X4,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f2204,plain,
( sP2(sK6,sK7,sK5)
| in(sK5,relation_image(sK7,sK6)) ),
inference(resolution,[],[f1923,f88]) ).
fof(f88,plain,
( in(ordered_pair(sK8,sK5),sK7)
| in(sK5,relation_image(sK7,sK6)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f1923,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK8,X1),X0)
| sP2(sK6,X0,X1) ),
inference(resolution,[],[f1905,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| sP2(X0,X1,X2)
| ~ in(ordered_pair(X3,X2),X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1905,plain,
in(sK8,sK6),
inference(subsumption_resolution,[],[f1904,f89]) ).
fof(f89,plain,
( in(sK5,relation_image(sK7,sK6))
| in(sK8,sK6) ),
inference(cnf_transformation,[],[f59]) ).
fof(f1904,plain,
( ~ in(sK5,relation_image(sK7,sK6))
| in(sK8,sK6) ),
inference(subsumption_resolution,[],[f1903,f902]) ).
fof(f902,plain,
( in(sK13(sK6,sK7,sK5),relation_dom(sK7))
| in(sK8,sK6) ),
inference(resolution,[],[f756,f374]) ).
fof(f756,plain,
( in(ordered_pair(sK13(sK6,sK7,sK5),sK5),sK7)
| in(sK8,sK6) ),
inference(resolution,[],[f108,f654]) ).
fof(f654,plain,
( sP2(sK6,sK7,sK5)
| in(sK8,sK6) ),
inference(resolution,[],[f439,f89]) ).
fof(f439,plain,
! [X0,X1] :
( ~ in(X0,relation_image(sK7,X1))
| sP2(X1,sK7,X0) ),
inference(resolution,[],[f104,f333]) ).
fof(f1903,plain,
( ~ in(sK13(sK6,sK7,sK5),relation_dom(sK7))
| ~ in(sK5,relation_image(sK7,sK6))
| in(sK8,sK6) ),
inference(subsumption_resolution,[],[f1898,f660]) ).
fof(f660,plain,
( in(sK13(sK6,sK7,sK5),sK6)
| in(sK8,sK6) ),
inference(resolution,[],[f654,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| in(sK13(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1898,plain,
( ~ in(sK13(sK6,sK7,sK5),sK6)
| ~ in(sK13(sK6,sK7,sK5),relation_dom(sK7))
| ~ in(sK5,relation_image(sK7,sK6))
| in(sK8,sK6) ),
inference(resolution,[],[f90,f756]) ).
fof(f90,plain,
! [X3] :
( ~ in(ordered_pair(X3,sK5),sK7)
| ~ in(X3,sK6)
| ~ in(X3,relation_dom(sK7))
| ~ in(sK5,relation_image(sK7,sK6)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f333,plain,
! [X0] : sP3(sK7,X0,relation_image(sK7,X0)),
inference(unit_resulting_resolution,[],[f146,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ sP4(X0)
| sP3(X0,X1,relation_image(X0,X1)) ),
inference(equality_resolution,[],[f102]) ).
fof(f102,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| relation_image(X0,X1) != X2
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ~ sP3(X0,X1,X2) )
& ( sP3(X0,X1,X2)
| relation_image(X0,X1) != X2 ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> sP3(X0,X1,X2) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f146,plain,
sP4(sK7),
inference(unit_resulting_resolution,[],[f86,f111]) ).
fof(f111,plain,
! [X0] :
( ~ relation(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sP4(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f35,f52,f51,f50]) ).
fof(f35,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f2288,plain,
~ in(sK13(sK6,sK7,sK5),relation_dom(sK7)),
inference(unit_resulting_resolution,[],[f2206,f2248,f2241,f90]) ).
fof(f2248,plain,
in(sK13(sK6,sK7,sK5),sK6),
inference(unit_resulting_resolution,[],[f2223,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 20:09:20 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (32382)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (32385)WARNING: value z3 for option sas not known
% 0.15/0.38 % (32386)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (32383)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (32384)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (32387)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (32388)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (32389)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (32385)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.21/0.41 % (32389)First to succeed.
% 0.21/0.42 % (32389)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (32389)------------------------------
% 0.21/0.42 % (32389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.42 % (32389)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (32389)Memory used [KB]: 1205
% 0.21/0.42 % (32389)Time elapsed: 0.038 s
% 0.21/0.42 % (32389)Instructions burned: 63 (million)
% 0.21/0.42 % (32389)------------------------------
% 0.21/0.42 % (32389)------------------------------
% 0.21/0.42 % (32382)Success in time 0.055 s
%------------------------------------------------------------------------------