TSTP Solution File: SEU253+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n020.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 : Thu Aug 31 17:57:22 EDT 2023
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 92 ( 14 unt; 0 def)
% Number of atoms : 350 ( 24 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 446 ( 188 ~; 191 |; 51 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 130 (; 118 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2636,plain,
$false,
inference(unit_resulting_resolution,[],[f156,f146,f2635,f104]) ).
fof(f104,plain,
! [X0] :
( sK2(X0) != sK3(X0)
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( ( connected(X0)
| ( ~ in(ordered_pair(sK3(X0),sK2(X0)),X0)
& ~ in(ordered_pair(sK2(X0),sK3(X0)),X0)
& sK2(X0) != sK3(X0)
& in(sK3(X0),relation_field(X0))
& in(sK2(X0),relation_field(X0)) ) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0)) )
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f75,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
=> ( ~ in(ordered_pair(sK3(X0),sK2(X0)),X0)
& ~ in(ordered_pair(sK2(X0),sK3(X0)),X0)
& sK2(X0) != sK3(X0)
& in(sK3(X0),relation_field(X0))
& in(sK2(X0),relation_field(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ( ( connected(X0)
| ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) )
& ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0)) )
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ( connected(X0)
| ? [X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) )
& ( ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) )
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( connected(X0)
<=> ! [X1,X2] :
( in(ordered_pair(X2,X1),X0)
| in(ordered_pair(X1,X2),X0)
| X1 = X2
| ~ in(X2,relation_field(X0))
| ~ in(X1,relation_field(X0)) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( ~ in(ordered_pair(X2,X1),X0)
& ~ in(ordered_pair(X1,X2),X0)
& X1 != X2
& in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9daFP2IvQs/Vampire---4.8_3909',l4_wellord1) ).
fof(f2635,plain,
sK2(sF10) = sK3(sF10),
inference(subsumption_resolution,[],[f2634,f581]) ).
fof(f581,plain,
~ in(ordered_pair(sK3(sF10),sK2(sF10)),sF10),
inference(subsumption_resolution,[],[f580,f235]) ).
fof(f235,plain,
! [X0] :
( ~ in(X0,sF10)
| in(X0,sK1) ),
inference(subsumption_resolution,[],[f234,f94]) ).
fof(f94,plain,
relation(sK1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ~ connected(relation_restriction(sK1,sK0))
& connected(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f52,f72]) ).
fof(f72,plain,
( ? [X0,X1] :
( ~ connected(relation_restriction(X1,X0))
& connected(X1)
& relation(X1) )
=> ( ~ connected(relation_restriction(sK1,sK0))
& connected(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1] :
( ~ connected(relation_restriction(X1,X0))
& connected(X1)
& relation(X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X0,X1] :
( ~ connected(relation_restriction(X1,X0))
& connected(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( connected(X1)
=> connected(relation_restriction(X1,X0)) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0,X1] :
( relation(X1)
=> ( connected(X1)
=> connected(relation_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9daFP2IvQs/Vampire---4.8_3909',t23_wellord1) ).
fof(f234,plain,
! [X0] :
( ~ in(X0,sF10)
| in(X0,sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f130,f145]) ).
fof(f145,plain,
relation_restriction(sK1,sK0) = sF10,
introduced(function_definition,[]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2) )
& ( ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2) )
& ( ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9daFP2IvQs/Vampire---4.8_3909',t16_wellord1) ).
fof(f580,plain,
( ~ in(ordered_pair(sK3(sF10),sK2(sF10)),sF10)
| ~ in(ordered_pair(sK3(sF10),sK2(sF10)),sK1) ),
inference(subsumption_resolution,[],[f579,f146]) ).
fof(f579,plain,
( ~ in(ordered_pair(sK3(sF10),sK2(sF10)),sF10)
| ~ in(ordered_pair(sK3(sF10),sK2(sF10)),sK1)
| connected(sF10) ),
inference(subsumption_resolution,[],[f574,f94]) ).
fof(f574,plain,
( ~ in(ordered_pair(sK3(sF10),sK2(sF10)),sF10)
| ~ relation(sK1)
| ~ in(ordered_pair(sK3(sF10),sK2(sF10)),sK1)
| connected(sF10) ),
inference(superposition,[],[f538,f145]) ).
fof(f538,plain,
! [X9] :
( ~ in(ordered_pair(sK3(relation_restriction(X9,sK0)),sK2(relation_restriction(X9,sK0))),sF10)
| ~ relation(X9)
| ~ in(ordered_pair(sK3(relation_restriction(X9,sK0)),sK2(relation_restriction(X9,sK0))),X9)
| connected(relation_restriction(X9,sK0)) ),
inference(subsumption_resolution,[],[f527,f122]) ).
fof(f122,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.9daFP2IvQs/Vampire---4.8_3909',dt_k2_wellord1) ).
fof(f527,plain,
! [X9] :
( ~ in(ordered_pair(sK3(relation_restriction(X9,sK0)),sK2(relation_restriction(X9,sK0))),X9)
| ~ relation(X9)
| ~ in(ordered_pair(sK3(relation_restriction(X9,sK0)),sK2(relation_restriction(X9,sK0))),sF10)
| connected(relation_restriction(X9,sK0))
| ~ relation(relation_restriction(X9,sK0)) ),
inference(resolution,[],[f517,f106]) ).
fof(f106,plain,
! [X0] :
( ~ in(ordered_pair(sK3(X0),sK2(X0)),X0)
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f517,plain,
! [X0,X1] :
( in(X0,relation_restriction(X1,sK0))
| ~ in(X0,X1)
| ~ relation(X1)
| ~ in(X0,sF10) ),
inference(resolution,[],[f132,f446]) ).
fof(f446,plain,
! [X0] :
( in(X0,cartesian_product2(sK0,sK0))
| ~ in(X0,sF10) ),
inference(subsumption_resolution,[],[f441,f94]) ).
fof(f441,plain,
! [X0] :
( ~ in(X0,sF10)
| in(X0,cartesian_product2(sK0,sK0))
| ~ relation(sK1) ),
inference(superposition,[],[f131,f145]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,cartesian_product2(X1,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X1))
| in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f2634,plain,
( sK2(sF10) = sK3(sF10)
| in(ordered_pair(sK3(sF10),sK2(sF10)),sF10) ),
inference(subsumption_resolution,[],[f2633,f369]) ).
fof(f369,plain,
in(sK3(sF10),relation_field(sK1)),
inference(subsumption_resolution,[],[f368,f156]) ).
fof(f368,plain,
( in(sK3(sF10),relation_field(sK1))
| ~ relation(sF10) ),
inference(subsumption_resolution,[],[f365,f146]) ).
fof(f365,plain,
( in(sK3(sF10),relation_field(sK1))
| connected(sF10)
| ~ relation(sF10) ),
inference(resolution,[],[f362,f103]) ).
fof(f103,plain,
! [X0] :
( in(sK3(X0),relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f362,plain,
! [X0] :
( ~ in(X0,relation_field(sF10))
| in(X0,relation_field(sK1)) ),
inference(subsumption_resolution,[],[f355,f94]) ).
fof(f355,plain,
! [X0] :
( ~ in(X0,relation_field(sF10))
| in(X0,relation_field(sK1))
| ~ relation(sK1) ),
inference(superposition,[],[f128,f145]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,relation_field(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( in(X0,X1)
& in(X0,relation_field(X2)) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,X1)
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9daFP2IvQs/Vampire---4.8_3909',t19_wellord1) ).
fof(f2633,plain,
( sK2(sF10) = sK3(sF10)
| ~ in(sK3(sF10),relation_field(sK1))
| in(ordered_pair(sK3(sF10),sK2(sF10)),sF10) ),
inference(subsumption_resolution,[],[f2632,f367]) ).
fof(f367,plain,
in(sK2(sF10),relation_field(sK1)),
inference(subsumption_resolution,[],[f366,f156]) ).
fof(f366,plain,
( in(sK2(sF10),relation_field(sK1))
| ~ relation(sF10) ),
inference(subsumption_resolution,[],[f364,f146]) ).
fof(f364,plain,
( in(sK2(sF10),relation_field(sK1))
| connected(sF10)
| ~ relation(sF10) ),
inference(resolution,[],[f362,f102]) ).
fof(f102,plain,
! [X0] :
( in(sK2(X0),relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f2632,plain,
( sK2(sF10) = sK3(sF10)
| ~ in(sK2(sF10),relation_field(sK1))
| ~ in(sK3(sF10),relation_field(sK1))
| in(ordered_pair(sK3(sF10),sK2(sF10)),sF10) ),
inference(subsumption_resolution,[],[f2631,f315]) ).
fof(f315,plain,
in(sK3(sF10),sK0),
inference(subsumption_resolution,[],[f314,f156]) ).
fof(f314,plain,
( in(sK3(sF10),sK0)
| ~ relation(sF10) ),
inference(subsumption_resolution,[],[f311,f146]) ).
fof(f311,plain,
( in(sK3(sF10),sK0)
| connected(sF10)
| ~ relation(sF10) ),
inference(resolution,[],[f302,f103]) ).
fof(f302,plain,
! [X0] :
( ~ in(X0,relation_field(sF10))
| in(X0,sK0) ),
inference(subsumption_resolution,[],[f295,f94]) ).
fof(f295,plain,
! [X0] :
( ~ in(X0,relation_field(sF10))
| in(X0,sK0)
| ~ relation(sK1) ),
inference(superposition,[],[f129,f145]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f2631,plain,
( ~ in(sK3(sF10),sK0)
| sK2(sF10) = sK3(sF10)
| ~ in(sK2(sF10),relation_field(sK1))
| ~ in(sK3(sF10),relation_field(sK1))
| in(ordered_pair(sK3(sF10),sK2(sF10)),sF10) ),
inference(subsumption_resolution,[],[f2620,f313]) ).
fof(f313,plain,
in(sK2(sF10),sK0),
inference(subsumption_resolution,[],[f312,f156]) ).
fof(f312,plain,
( in(sK2(sF10),sK0)
| ~ relation(sF10) ),
inference(subsumption_resolution,[],[f310,f146]) ).
fof(f310,plain,
( in(sK2(sF10),sK0)
| connected(sF10)
| ~ relation(sF10) ),
inference(resolution,[],[f302,f102]) ).
fof(f2620,plain,
( ~ in(sK2(sF10),sK0)
| ~ in(sK3(sF10),sK0)
| sK2(sF10) = sK3(sF10)
| ~ in(sK2(sF10),relation_field(sK1))
| ~ in(sK3(sF10),relation_field(sK1))
| in(ordered_pair(sK3(sF10),sK2(sF10)),sF10) ),
inference(resolution,[],[f2607,f573]) ).
fof(f573,plain,
~ in(ordered_pair(sK2(sF10),sK3(sF10)),sF10),
inference(subsumption_resolution,[],[f572,f235]) ).
fof(f572,plain,
( ~ in(ordered_pair(sK2(sF10),sK3(sF10)),sF10)
| ~ in(ordered_pair(sK2(sF10),sK3(sF10)),sK1) ),
inference(subsumption_resolution,[],[f571,f146]) ).
fof(f571,plain,
( ~ in(ordered_pair(sK2(sF10),sK3(sF10)),sF10)
| ~ in(ordered_pair(sK2(sF10),sK3(sF10)),sK1)
| connected(sF10) ),
inference(subsumption_resolution,[],[f566,f94]) ).
fof(f566,plain,
( ~ in(ordered_pair(sK2(sF10),sK3(sF10)),sF10)
| ~ relation(sK1)
| ~ in(ordered_pair(sK2(sF10),sK3(sF10)),sK1)
| connected(sF10) ),
inference(superposition,[],[f537,f145]) ).
fof(f537,plain,
! [X8] :
( ~ in(ordered_pair(sK2(relation_restriction(X8,sK0)),sK3(relation_restriction(X8,sK0))),sF10)
| ~ relation(X8)
| ~ in(ordered_pair(sK2(relation_restriction(X8,sK0)),sK3(relation_restriction(X8,sK0))),X8)
| connected(relation_restriction(X8,sK0)) ),
inference(subsumption_resolution,[],[f526,f122]) ).
fof(f526,plain,
! [X8] :
( ~ in(ordered_pair(sK2(relation_restriction(X8,sK0)),sK3(relation_restriction(X8,sK0))),X8)
| ~ relation(X8)
| ~ in(ordered_pair(sK2(relation_restriction(X8,sK0)),sK3(relation_restriction(X8,sK0))),sF10)
| connected(relation_restriction(X8,sK0))
| ~ relation(relation_restriction(X8,sK0)) ),
inference(resolution,[],[f517,f105]) ).
fof(f105,plain,
! [X0] :
( ~ in(ordered_pair(sK2(X0),sK3(X0)),X0)
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f2607,plain,
! [X0,X1] :
( in(ordered_pair(X1,X0),sF10)
| ~ in(X1,sK0)
| ~ in(X0,sK0)
| X0 = X1
| ~ in(X1,relation_field(sK1))
| ~ in(X0,relation_field(sK1))
| in(ordered_pair(X0,X1),sF10) ),
inference(duplicate_literal_removal,[],[f2596]) ).
fof(f2596,plain,
! [X0,X1] :
( ~ in(X0,sK0)
| ~ in(X1,sK0)
| in(ordered_pair(X1,X0),sF10)
| X0 = X1
| ~ in(X1,relation_field(sK1))
| ~ in(X0,relation_field(sK1))
| in(ordered_pair(X0,X1),sF10)
| ~ in(X1,sK0)
| ~ in(X0,sK0) ),
inference(resolution,[],[f2537,f2532]) ).
fof(f2532,plain,
! [X14,X15] :
( ~ in(ordered_pair(X14,X15),sK1)
| in(ordered_pair(X14,X15),sF10)
| ~ in(X15,sK0)
| ~ in(X14,sK0) ),
inference(subsumption_resolution,[],[f2518,f94]) ).
fof(f2518,plain,
! [X14,X15] :
( in(ordered_pair(X14,X15),sF10)
| ~ in(ordered_pair(X14,X15),sK1)
| ~ relation(sK1)
| ~ in(X15,sK0)
| ~ in(X14,sK0) ),
inference(superposition,[],[f519,f145]) ).
fof(f519,plain,
! [X8,X6,X7,X5] :
( in(ordered_pair(X5,X6),relation_restriction(X7,X8))
| ~ in(ordered_pair(X5,X6),X7)
| ~ relation(X7)
| ~ in(X6,X8)
| ~ in(X5,X8) ),
inference(resolution,[],[f132,f135]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9daFP2IvQs/Vampire---4.8_3909',t106_zfmisc_1) ).
fof(f2537,plain,
! [X0,X1] :
( in(ordered_pair(X1,X0),sK1)
| ~ in(X1,sK0)
| ~ in(X0,sK0)
| in(ordered_pair(X0,X1),sF10)
| X0 = X1
| ~ in(X0,relation_field(sK1))
| ~ in(X1,relation_field(sK1)) ),
inference(subsumption_resolution,[],[f2536,f94]) ).
fof(f2536,plain,
! [X0,X1] :
( in(ordered_pair(X0,X1),sF10)
| ~ in(X1,sK0)
| ~ in(X0,sK0)
| in(ordered_pair(X1,X0),sK1)
| X0 = X1
| ~ in(X0,relation_field(sK1))
| ~ in(X1,relation_field(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f2533,f95]) ).
fof(f95,plain,
connected(sK1),
inference(cnf_transformation,[],[f73]) ).
fof(f2533,plain,
! [X0,X1] :
( in(ordered_pair(X0,X1),sF10)
| ~ in(X1,sK0)
| ~ in(X0,sK0)
| in(ordered_pair(X1,X0),sK1)
| X0 = X1
| ~ in(X0,relation_field(sK1))
| ~ in(X1,relation_field(sK1))
| ~ connected(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f2532,f101]) ).
fof(f101,plain,
! [X3,X0,X4] :
( in(ordered_pair(X4,X3),X0)
| in(ordered_pair(X3,X4),X0)
| X3 = X4
| ~ in(X4,relation_field(X0))
| ~ in(X3,relation_field(X0))
| ~ connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f146,plain,
~ connected(sF10),
inference(definition_folding,[],[f96,f145]) ).
fof(f96,plain,
~ connected(relation_restriction(sK1,sK0)),
inference(cnf_transformation,[],[f73]) ).
fof(f156,plain,
relation(sF10),
inference(subsumption_resolution,[],[f155,f94]) ).
fof(f155,plain,
( relation(sF10)
| ~ relation(sK1) ),
inference(superposition,[],[f122,f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU253+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 23 19:27:01 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.9daFP2IvQs/Vampire---4.8_3909
% 0.16/0.36 % (4019)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.42 % (4023)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.16/0.42 % (4022)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.16/0.42 % (4024)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.16/0.42 % (4020)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.16/0.42 % (4025)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.16/0.42 % (4026)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.16/0.43 % (4021)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.44 % (4023)Refutation not found, incomplete strategy% (4023)------------------------------
% 0.22/0.44 % (4023)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (4023)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (4023)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (4023)Memory used [KB]: 10490
% 0.22/0.44 % (4023)Time elapsed: 0.017 s
% 0.22/0.44 % (4023)------------------------------
% 0.22/0.44 % (4023)------------------------------
% 0.22/0.50 % (4027)ott+10_5_av=off:bsr=on:br=off:drc=off:fsd=off:fsr=off:fde=unused:gsp=on:lcm=predicate:lma=on:nwc=2.5:sos=all:sp=occurrence:tgt=full:urr=on_375 on Vampire---4 for (375ds/0Mi)
% 0.22/0.53 % (4024)First to succeed.
% 0.22/0.54 % (4024)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for Vampire---4
% 0.22/0.54 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.54 % (4024)------------------------------
% 0.22/0.54 % (4024)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.54 % (4024)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.54 % (4024)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (4024)Memory used [KB]: 2686
% 0.22/0.54 % (4024)Time elapsed: 0.111 s
% 0.22/0.54 % (4024)------------------------------
% 0.22/0.54 % (4024)------------------------------
% 0.22/0.54 % (4019)Success in time 0.172 s
% 0.22/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------