TSTP Solution File: SEU270+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU270+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 : n025.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 : Sat Sep 2 00:12:05 EDT 2023
% Result : Theorem 5.91s 1.22s
% Output : Refutation 5.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 28 unt; 0 def)
% Number of atoms : 319 ( 31 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 371 ( 143 ~; 129 |; 66 &)
% ( 20 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 166 (; 152 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53481,plain,
$false,
inference(subsumption_resolution,[],[f53463,f14659]) ).
fof(f14659,plain,
sP4(sK9(inclusion_relation(sK8),sK8),sK10(inclusion_relation(sK8),sK8),inclusion_relation(sK8)),
inference(unit_resulting_resolution,[],[f3101,f3102,f3096,f198]) ).
fof(f198,plain,
! [X0,X1,X4,X5] :
( ~ sP5(X0,X1)
| ~ in(X5,X1)
| ~ in(X4,X1)
| sP4(X5,X4,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| ( ~ sP4(sK13(X0,X1),sK12(X0,X1),X0)
& in(sK13(X0,X1),X1)
& in(sK12(X0,X1),X1) ) )
& ( ! [X4,X5] :
( sP4(X5,X4,X0)
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ sP5(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f121,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ sP4(X3,X2,X0)
& in(X3,X1)
& in(X2,X1) )
=> ( ~ sP4(sK13(X0,X1),sK12(X0,X1),X0)
& in(sK13(X0,X1),X1)
& in(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| ? [X2,X3] :
( ~ sP4(X3,X2,X0)
& in(X3,X1)
& in(X2,X1) ) )
& ( ! [X4,X5] :
( sP4(X5,X4,X0)
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ sP5(X0,X1) ) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X1,X0] :
( ( sP5(X1,X0)
| ? [X2,X3] :
( ~ sP4(X3,X2,X1)
& in(X3,X0)
& in(X2,X0) ) )
& ( ! [X2,X3] :
( sP4(X3,X2,X1)
| ~ in(X3,X0)
| ~ in(X2,X0) )
| ~ sP5(X1,X0) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X1,X0] :
( sP5(X1,X0)
<=> ! [X2,X3] :
( sP4(X3,X2,X1)
| ~ in(X3,X0)
| ~ in(X2,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f3096,plain,
! [X0] : sP5(inclusion_relation(X0),X0),
inference(unit_resulting_resolution,[],[f3094,f196]) ).
fof(f196,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| sP5(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ( sP6(X0,X1)
| ~ sP5(X1,X0)
| relation_field(X1) != X0 )
& ( ( sP5(X1,X0)
& relation_field(X1) = X0 )
| ~ sP6(X0,X1) ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( sP6(X0,X1)
| ~ sP5(X1,X0)
| relation_field(X1) != X0 )
& ( ( sP5(X1,X0)
& relation_field(X1) = X0 )
| ~ sP6(X0,X1) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( sP6(X0,X1)
<=> ( sP5(X1,X0)
& relation_field(X1) = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f3094,plain,
! [X0] : sP6(X0,inclusion_relation(X0)),
inference(equality_resolution,[],[f3093]) ).
fof(f3093,plain,
! [X4,X5] :
( inclusion_relation(X4) != inclusion_relation(X5)
| sP6(X4,inclusion_relation(X5)) ),
inference(resolution,[],[f193,f377]) ).
fof(f377,plain,
! [X0,X1] : sP7(inclusion_relation(X0),X1),
inference(unit_resulting_resolution,[],[f157,f206]) ).
fof(f206,plain,
! [X0,X1] :
( ~ relation(X1)
| sP7(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sP7(X1,X0)
| ~ relation(X1) ),
inference(definition_folding,[],[f74,f102,f101,f100,f99]) ).
fof(f99,plain,
! [X3,X2,X1] :
( sP4(X3,X2,X1)
<=> ( in(ordered_pair(X2,X3),X1)
<=> subset(X2,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f102,plain,
! [X1,X0] :
( ( inclusion_relation(X0) = X1
<=> sP6(X0,X1) )
| ~ sP7(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f74,plain,
! [X0,X1] :
( ( inclusion_relation(X0) = X1
<=> ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
<=> subset(X2,X3) )
| ~ in(X3,X0)
| ~ in(X2,X0) )
& relation_field(X1) = X0 ) )
| ~ relation(X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( inclusion_relation(X0) = X1
<=> ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
<=> subset(X2,X3) )
| ~ in(X3,X0)
| ~ in(X2,X0) )
& relation_field(X1) = X0 ) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( relation(X1)
=> ( inclusion_relation(X0) = X1
<=> ( ! [X2,X3] :
( ( in(X3,X0)
& in(X2,X0) )
=> ( in(ordered_pair(X2,X3),X1)
<=> subset(X2,X3) ) )
& relation_field(X1) = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.R9HTAfzW35/Vampire---4.8_17221',d1_wellord2) ).
fof(f157,plain,
! [X0] : relation(inclusion_relation(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] : relation(inclusion_relation(X0)),
file('/export/starexec/sandbox2/tmp/tmp.R9HTAfzW35/Vampire---4.8_17221',dt_k1_wellord2) ).
fof(f193,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| inclusion_relation(X1) != X0
| sP6(X1,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( ( inclusion_relation(X1) = X0
| ~ sP6(X1,X0) )
& ( sP6(X1,X0)
| inclusion_relation(X1) != X0 ) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ( ( inclusion_relation(X0) = X1
| ~ sP6(X0,X1) )
& ( sP6(X0,X1)
| inclusion_relation(X0) != X1 ) )
| ~ sP7(X1,X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f3102,plain,
in(sK10(inclusion_relation(sK8),sK8),sK8),
inference(superposition,[],[f681,f3095]) ).
fof(f3095,plain,
! [X0] : relation_field(inclusion_relation(X0)) = X0,
inference(unit_resulting_resolution,[],[f3094,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| relation_field(X1) = X0 ),
inference(cnf_transformation,[],[f119]) ).
fof(f681,plain,
in(sK10(inclusion_relation(sK8),relation_field(inclusion_relation(sK8))),relation_field(inclusion_relation(sK8))),
inference(unit_resulting_resolution,[],[f637,f166]) ).
fof(f166,plain,
! [X0,X1] :
( sP0(X0,X1)
| in(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ in(ordered_pair(sK10(X0,X1),sK9(X0,X1)),X0)
& ~ in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0)
& sK9(X0,X1) != sK10(X0,X1)
& in(sK10(X0,X1),X1)
& in(sK9(X0,X1),X1) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X5,X4),X0)
| in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f109,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) )
=> ( ~ in(ordered_pair(sK10(X0,X1),sK9(X0,X1)),X0)
& ~ in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0)
& sK9(X0,X1) != sK10(X0,X1)
& in(sK10(X0,X1),X1)
& in(sK9(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X5,X4),X0)
| in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) )
& ( ! [X2,X3] :
( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X0)
| X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X0)
| X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f637,plain,
~ sP0(inclusion_relation(sK8),relation_field(inclusion_relation(sK8))),
inference(unit_resulting_resolution,[],[f260,f635,f163]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| is_connected_in(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| ~ is_connected_in(X0,X1) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( is_connected_in(X0,X1)
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f635,plain,
~ is_connected_in(inclusion_relation(sK8),relation_field(inclusion_relation(sK8))),
inference(unit_resulting_resolution,[],[f157,f147,f161]) ).
fof(f161,plain,
! [X0] :
( ~ is_connected_in(X0,relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( ( connected(X0)
| ~ is_connected_in(X0,relation_field(X0)) )
& ( is_connected_in(X0,relation_field(X0))
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.R9HTAfzW35/Vampire---4.8_17221',d14_relat_2) ).
fof(f147,plain,
~ connected(inclusion_relation(sK8)),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ~ connected(inclusion_relation(sK8))
& ordinal(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f59,f104]) ).
fof(f104,plain,
( ? [X0] :
( ~ connected(inclusion_relation(X0))
& ordinal(X0) )
=> ( ~ connected(inclusion_relation(sK8))
& ordinal(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0] :
( ~ connected(inclusion_relation(X0))
& ordinal(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> connected(inclusion_relation(X0)) ),
inference(negated_conjecture,[],[f51]) ).
fof(f51,conjecture,
! [X0] :
( ordinal(X0)
=> connected(inclusion_relation(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.R9HTAfzW35/Vampire---4.8_17221',t4_wellord2) ).
fof(f260,plain,
! [X0] : sP1(inclusion_relation(X0)),
inference(unit_resulting_resolution,[],[f157,f170]) ).
fof(f170,plain,
! [X0] :
( ~ relation(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( sP1(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f62,f93,f92]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X3,X2),X0)
| in(ordered_pair(X2,X3),X0)
| X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
~ ( ~ in(ordered_pair(X3,X2),X0)
& ~ in(ordered_pair(X2,X3),X0)
& X2 != X3
& in(X3,X1)
& in(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.R9HTAfzW35/Vampire---4.8_17221',d6_relat_2) ).
fof(f3101,plain,
in(sK9(inclusion_relation(sK8),sK8),sK8),
inference(superposition,[],[f639,f3095]) ).
fof(f639,plain,
in(sK9(inclusion_relation(sK8),relation_field(inclusion_relation(sK8))),relation_field(inclusion_relation(sK8))),
inference(unit_resulting_resolution,[],[f637,f165]) ).
fof(f165,plain,
! [X0,X1] :
( sP0(X0,X1)
| in(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f53463,plain,
~ sP4(sK9(inclusion_relation(sK8),sK8),sK10(inclusion_relation(sK8),sK8),inclusion_relation(sK8)),
inference(unit_resulting_resolution,[],[f7125,f53461,f203]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| ~ subset(X1,X0)
| in(ordered_pair(X1,X0),X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ( ( ~ subset(X1,X0)
| ~ in(ordered_pair(X1,X0),X2) )
& ( subset(X1,X0)
| in(ordered_pair(X1,X0),X2) ) ) )
& ( ( ( in(ordered_pair(X1,X0),X2)
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ~ in(ordered_pair(X1,X0),X2) ) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X3,X2,X1] :
( ( sP4(X3,X2,X1)
| ( ( ~ subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) )
& ( subset(X2,X3)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ( ( in(ordered_pair(X2,X3),X1)
| ~ subset(X2,X3) )
& ( subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) ) )
| ~ sP4(X3,X2,X1) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f53461,plain,
subset(sK10(inclusion_relation(sK8),sK8),sK9(inclusion_relation(sK8),sK8)),
inference(unit_resulting_resolution,[],[f3292,f3270,f53460,f213]) ).
fof(f213,plain,
! [X0,X1] :
( ~ ordinal_subset(X0,X1)
| subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.R9HTAfzW35/Vampire---4.8_17221',redefinition_r1_ordinal1) ).
fof(f53460,plain,
ordinal_subset(sK10(inclusion_relation(sK8),sK8),sK9(inclusion_relation(sK8),sK8)),
inference(unit_resulting_resolution,[],[f3270,f3292,f53453,f212]) ).
fof(f212,plain,
! [X0,X1] :
( ~ ordinal(X1)
| ordinal_subset(X0,X1)
| ordinal_subset(X1,X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.R9HTAfzW35/Vampire---4.8_17221',connectedness_r1_ordinal1) ).
fof(f53453,plain,
~ ordinal_subset(sK9(inclusion_relation(sK8),sK8),sK10(inclusion_relation(sK8),sK8)),
inference(unit_resulting_resolution,[],[f3270,f3292,f53439,f213]) ).
fof(f53439,plain,
~ subset(sK9(inclusion_relation(sK8),sK8),sK10(inclusion_relation(sK8),sK8)),
inference(unit_resulting_resolution,[],[f6186,f14654,f203]) ).
fof(f14654,plain,
sP4(sK10(inclusion_relation(sK8),sK8),sK9(inclusion_relation(sK8),sK8),inclusion_relation(sK8)),
inference(unit_resulting_resolution,[],[f3102,f3101,f3096,f198]) ).
fof(f6186,plain,
~ in(ordered_pair(sK9(inclusion_relation(sK8),sK8),sK10(inclusion_relation(sK8),sK8)),inclusion_relation(sK8)),
inference(unit_resulting_resolution,[],[f3100,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK9(X0,X1),sK10(X0,X1)),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f3100,plain,
~ sP0(inclusion_relation(sK8),sK8),
inference(superposition,[],[f637,f3095]) ).
fof(f3270,plain,
ordinal(sK9(inclusion_relation(sK8),sK8)),
inference(unit_resulting_resolution,[],[f146,f3101,f207]) ).
fof(f207,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.R9HTAfzW35/Vampire---4.8_17221',t23_ordinal1) ).
fof(f146,plain,
ordinal(sK8),
inference(cnf_transformation,[],[f105]) ).
fof(f3292,plain,
ordinal(sK10(inclusion_relation(sK8),sK8)),
inference(unit_resulting_resolution,[],[f146,f3102,f207]) ).
fof(f7125,plain,
~ in(ordered_pair(sK10(inclusion_relation(sK8),sK8),sK9(inclusion_relation(sK8),sK8)),inclusion_relation(sK8)),
inference(unit_resulting_resolution,[],[f3100,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK10(X0,X1),sK9(X0,X1)),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SEU270+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.33 % Computer : n025.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Wed Aug 30 14:24:26 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.36 % (18575)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.37 % (18735)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 Vampire---4 for (497ds/0Mi)
% 0.09/0.37 % (18730)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.09/0.37 % (18732)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.09/0.37 % (18733)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 Vampire---4 for (531ds/0Mi)
% 0.09/0.37 % (18734)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 Vampire---4 for (522ds/0Mi)
% 0.09/0.37 % (18729)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.09/0.37 % (18731)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 Vampire---4 for (569ds/0Mi)
% 0.09/0.37 TRYING [1]
% 0.09/0.37 TRYING [2]
% 0.09/0.37 TRYING [3]
% 0.09/0.38 TRYING [1]
% 0.09/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [5]
% 0.14/0.43 TRYING [4]
% 0.14/0.47 TRYING [6]
% 0.14/0.55 TRYING [5]
% 0.14/0.75 TRYING [7]
% 5.08/1.12 TRYING [6]
% 5.81/1.21 % (18735)First to succeed.
% 5.91/1.22 % (18735)Refutation found. Thanks to Tanya!
% 5.91/1.22 % SZS status Theorem for Vampire---4
% 5.91/1.22 % SZS output start Proof for Vampire---4
% See solution above
% 5.91/1.22 % (18735)------------------------------
% 5.91/1.22 % (18735)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 5.91/1.22 % (18735)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 5.91/1.22 % (18735)Termination reason: Refutation
% 5.91/1.22
% 5.91/1.22 % (18735)Memory used [KB]: 22387
% 5.91/1.22 % (18735)Time elapsed: 0.847 s
% 5.91/1.22 % (18735)------------------------------
% 5.91/1.22 % (18735)------------------------------
% 5.91/1.22 % (18575)Success in time 0.886 s
% 5.91/1.22 % Vampire---4.8 exiting
%------------------------------------------------------------------------------