TSTP Solution File: SEU237+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU237+3 : TPTP v8.1.2. Released v3.2.0.
% 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 : n032.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 17:57:14 EDT 2023
% Result : Theorem 167.87s 24.61s
% Output : Refutation 167.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 30
% Syntax : Number of formulae : 186 ( 36 unt; 0 def)
% Number of atoms : 620 ( 52 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 713 ( 279 ~; 273 |; 109 &)
% ( 22 <=>; 28 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 276 (; 247 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f405747,plain,
$false,
inference(subsumption_resolution,[],[f405746,f105209]) ).
fof(f105209,plain,
~ subset(sK6,sK13(sK6,sK7)),
inference(unit_resulting_resolution,[],[f89527,f1219]) ).
fof(f1219,plain,
! [X3,X4] :
( ~ subset(X4,X3)
| ~ in(X3,X4) ),
inference(resolution,[],[f570,f262]) ).
fof(f262,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f150,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',d3_tarski) ).
fof(f570,plain,
! [X0] : ~ in(X0,X0),
inference(factoring,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',antisymmetry_r2_hidden) ).
fof(f89527,plain,
in(sK13(sK6,sK7),sK6),
inference(unit_resulting_resolution,[],[f86442,f276]) ).
fof(f276,plain,
! [X0,X1] :
( in(sK13(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| ~ in(X1,X2) ) )
& ( ( in(sK13(X0,X1),X0)
& in(X1,sK13(X0,X1)) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f163,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X0)
& in(X1,X3) )
=> ( in(sK13(X0,X1),X0)
& in(X1,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| ~ in(X1,X2) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X1,X3) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X0,X2] :
( ( sP4(X0,X2)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ sP4(X0,X2) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X2] :
( sP4(X0,X2)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f86442,plain,
sP4(sK6,sK7),
inference(unit_resulting_resolution,[],[f78520,f79735,f271]) ).
fof(f271,plain,
! [X3,X0,X1] :
( sP4(X0,X3)
| ~ in(X3,X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| ( ( ~ sP4(X0,sK12(X0,X1))
| ~ in(sK12(X0,X1),X1) )
& ( sP4(X0,sK12(X0,X1))
| in(sK12(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ sP4(X0,X3) )
& ( sP4(X0,X3)
| ~ in(X3,X1) ) )
| ~ sP5(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f159,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sP4(X0,X2)
| ~ in(X2,X1) )
& ( sP4(X0,X2)
| in(X2,X1) ) )
=> ( ( ~ sP4(X0,sK12(X0,X1))
| ~ in(sK12(X0,X1),X1) )
& ( sP4(X0,sK12(X0,X1))
| in(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| ? [X2] :
( ( ~ sP4(X0,X2)
| ~ in(X2,X1) )
& ( sP4(X0,X2)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ sP4(X0,X3) )
& ( sP4(X0,X3)
| ~ in(X3,X1) ) )
| ~ sP5(X0,X1) ) ),
inference(rectify,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| ? [X2] :
( ( ~ sP4(X0,X2)
| ~ in(X2,X1) )
& ( sP4(X0,X2)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ sP4(X0,X2) )
& ( sP4(X0,X2)
| ~ in(X2,X1) ) )
| ~ sP5(X0,X1) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( sP5(X0,X1)
<=> ! [X2] :
( in(X2,X1)
<=> sP4(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f79735,plain,
sP5(sK6,sK6),
inference(unit_resulting_resolution,[],[f78518,f493]) ).
fof(f493,plain,
! [X3] :
( sP5(X3,X3)
| ~ being_limit_ordinal(X3) ),
inference(superposition,[],[f322,f236]) ).
fof(f236,plain,
! [X0] :
( union(X0) = X0
| ~ being_limit_ordinal(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( being_limit_ordinal(X0)
| union(X0) != X0 )
& ( union(X0) = X0
| ~ being_limit_ordinal(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( being_limit_ordinal(X0)
<=> union(X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',d6_ordinal1) ).
fof(f322,plain,
! [X0] : sP5(X0,union(X0)),
inference(equality_resolution,[],[f278]) ).
fof(f278,plain,
! [X0,X1] :
( sP5(X0,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( union(X0) = X1
| ~ sP5(X0,X1) )
& ( sP5(X0,X1)
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( union(X0) = X1
<=> sP5(X0,X1) ),
inference(definition_folding,[],[f16,f128,f127]) ).
fof(f16,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',d4_tarski) ).
fof(f78518,plain,
being_limit_ordinal(sK6),
inference(subsumption_resolution,[],[f78517,f54829]) ).
fof(f54829,plain,
( ordinal_subset(union(sK6),sK6)
| being_limit_ordinal(sK6) ),
inference(subsumption_resolution,[],[f54828,f401]) ).
fof(f401,plain,
ordinal(union(sK6)),
inference(unit_resulting_resolution,[],[f336,f224]) ).
fof(f224,plain,
! [X0] :
( ordinal(union(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( ordinal(union(X0))
& epsilon_connected(union(X0))
& epsilon_transitive(union(X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( ordinal(union(X0))
& epsilon_connected(union(X0))
& epsilon_transitive(union(X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f336,plain,
sP1(sK6),
inference(unit_resulting_resolution,[],[f194,f225]) ).
fof(f225,plain,
! [X0] :
( sP1(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( sP1(X0)
| ~ ordinal(X0) ),
inference(definition_folding,[],[f82,f121]) ).
fof(f82,plain,
! [X0] :
( ( ordinal(union(X0))
& epsilon_connected(union(X0))
& epsilon_transitive(union(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ordinal(X0)
=> ( ordinal(union(X0))
& epsilon_connected(union(X0))
& epsilon_transitive(union(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',fc4_ordinal1) ).
fof(f194,plain,
ordinal(sK6),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( ( ~ in(succ(sK7),sK6)
& in(sK7,sK6)
& ordinal(sK7) )
| ~ being_limit_ordinal(sK6) )
& ( ! [X2] :
( in(succ(X2),sK6)
| ~ in(X2,sK6)
| ~ ordinal(X2) )
| being_limit_ordinal(sK6) )
& ordinal(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f132,f134,f133]) ).
fof(f133,plain,
( ? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X2] :
( in(succ(X2),X0)
| ~ in(X2,X0)
| ~ ordinal(X2) )
| being_limit_ordinal(X0) )
& ordinal(X0) )
=> ( ( ? [X1] :
( ~ in(succ(X1),sK6)
& in(X1,sK6)
& ordinal(X1) )
| ~ being_limit_ordinal(sK6) )
& ( ! [X2] :
( in(succ(X2),sK6)
| ~ in(X2,sK6)
| ~ ordinal(X2) )
| being_limit_ordinal(sK6) )
& ordinal(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X1] :
( ~ in(succ(X1),sK6)
& in(X1,sK6)
& ordinal(X1) )
=> ( ~ in(succ(sK7),sK6)
& in(sK7,sK6)
& ordinal(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X2] :
( in(succ(X2),X0)
| ~ in(X2,X0)
| ~ ordinal(X2) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
? [X0] :
( ( being_limit_ordinal(X0)
<~> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
& ordinal(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0] :
( ( being_limit_ordinal(X0)
<~> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ( being_limit_ordinal(X0)
<=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> in(succ(X1),X0) ) ) ) ),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
! [X0] :
( ordinal(X0)
=> ( being_limit_ordinal(X0)
<=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> in(succ(X1),X0) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',t41_ordinal1) ).
fof(f54828,plain,
( being_limit_ordinal(sK6)
| ordinal_subset(union(sK6),sK6)
| ~ ordinal(union(sK6)) ),
inference(subsumption_resolution,[],[f54825,f194]) ).
fof(f54825,plain,
( being_limit_ordinal(sK6)
| ordinal_subset(union(sK6),sK6)
| ~ ordinal(sK6)
| ~ ordinal(union(sK6)) ),
inference(resolution,[],[f54816,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',connectedness_r1_ordinal1) ).
fof(f54816,plain,
( ~ ordinal_subset(sK6,union(sK6))
| being_limit_ordinal(sK6) ),
inference(subsumption_resolution,[],[f54815,f194]) ).
fof(f54815,plain,
( being_limit_ordinal(sK6)
| ~ ordinal_subset(sK6,union(sK6))
| ~ ordinal(sK6) ),
inference(subsumption_resolution,[],[f54811,f401]) ).
fof(f54811,plain,
( being_limit_ordinal(sK6)
| ~ ordinal_subset(sK6,union(sK6))
| ~ ordinal(union(sK6))
| ~ ordinal(sK6) ),
inference(resolution,[],[f54787,f255]) ).
fof(f255,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',redefinition_r1_ordinal1) ).
fof(f54787,plain,
( ~ subset(sK6,union(sK6))
| being_limit_ordinal(sK6) ),
inference(resolution,[],[f54713,f822]) ).
fof(f822,plain,
! [X1] :
( proper_subset(X1,union(X1))
| ~ subset(X1,union(X1))
| being_limit_ordinal(X1) ),
inference(extensionality_resolution,[],[f261,f237]) ).
fof(f237,plain,
! [X0] :
( union(X0) != X0
| being_limit_ordinal(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f261,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( X0 != X1
& subset(X0,X1) )
=> proper_subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( X0 != X1
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',d8_xboole_0) ).
fof(f54713,plain,
~ proper_subset(sK6,union(sK6)),
inference(unit_resulting_resolution,[],[f326,f401,f4659,f214]) ).
fof(f214,plain,
! [X0,X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',t21_ordinal1) ).
fof(f4659,plain,
! [X0] : ~ in(X0,union(X0)),
inference(unit_resulting_resolution,[],[f322,f2489,f271]) ).
fof(f2489,plain,
! [X0] : ~ sP4(X0,X0),
inference(duplicate_literal_removal,[],[f2483]) ).
fof(f2483,plain,
! [X0] :
( ~ sP4(X0,X0)
| ~ sP4(X0,X0) ),
inference(resolution,[],[f781,f276]) ).
fof(f781,plain,
! [X2,X3] :
( ~ in(sK13(X2,X3),X3)
| ~ sP4(X2,X3) ),
inference(resolution,[],[f275,f251]) ).
fof(f275,plain,
! [X0,X1] :
( in(X1,sK13(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f326,plain,
epsilon_transitive(sK6),
inference(unit_resulting_resolution,[],[f194,f215]) ).
fof(f215,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',cc1_ordinal1) ).
fof(f78517,plain,
( being_limit_ordinal(sK6)
| ~ ordinal_subset(union(sK6),sK6) ),
inference(subsumption_resolution,[],[f78516,f401]) ).
fof(f78516,plain,
( being_limit_ordinal(sK6)
| ~ ordinal_subset(union(sK6),sK6)
| ~ ordinal(union(sK6)) ),
inference(subsumption_resolution,[],[f78511,f194]) ).
fof(f78511,plain,
( being_limit_ordinal(sK6)
| ~ ordinal_subset(union(sK6),sK6)
| ~ ordinal(sK6)
| ~ ordinal(union(sK6)) ),
inference(resolution,[],[f78502,f255]) ).
fof(f78502,plain,
( ~ subset(union(sK6),sK6)
| being_limit_ordinal(sK6) ),
inference(duplicate_literal_removal,[],[f78494]) ).
fof(f78494,plain,
( being_limit_ordinal(sK6)
| ~ subset(union(sK6),sK6)
| being_limit_ordinal(sK6) ),
inference(resolution,[],[f78488,f821]) ).
fof(f821,plain,
! [X0] :
( proper_subset(union(X0),X0)
| ~ subset(union(X0),X0)
| being_limit_ordinal(X0) ),
inference(extensionality_resolution,[],[f261,f237]) ).
fof(f78488,plain,
( ~ proper_subset(union(sK6),sK6)
| being_limit_ordinal(sK6) ),
inference(subsumption_resolution,[],[f78487,f386]) ).
fof(f386,plain,
epsilon_transitive(union(sK6)),
inference(unit_resulting_resolution,[],[f336,f222]) ).
fof(f222,plain,
! [X0] :
( epsilon_transitive(union(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f78487,plain,
( being_limit_ordinal(sK6)
| ~ proper_subset(union(sK6),sK6)
| ~ epsilon_transitive(union(sK6)) ),
inference(subsumption_resolution,[],[f78478,f194]) ).
fof(f78478,plain,
( being_limit_ordinal(sK6)
| ~ proper_subset(union(sK6),sK6)
| ~ ordinal(sK6)
| ~ epsilon_transitive(union(sK6)) ),
inference(resolution,[],[f70807,f214]) ).
fof(f70807,plain,
( ~ in(union(sK6),sK6)
| being_limit_ordinal(sK6) ),
inference(subsumption_resolution,[],[f70802,f401]) ).
fof(f70802,plain,
( ~ in(union(sK6),sK6)
| ~ ordinal(union(sK6))
| being_limit_ordinal(sK6) ),
inference(resolution,[],[f4973,f195]) ).
fof(f195,plain,
! [X2] :
( in(succ(X2),sK6)
| ~ in(X2,sK6)
| ~ ordinal(X2)
| being_limit_ordinal(sK6) ),
inference(cnf_transformation,[],[f135]) ).
fof(f4973,plain,
! [X0] : ~ in(succ(union(X0)),X0),
inference(unit_resulting_resolution,[],[f211,f1204,f277]) ).
fof(f277,plain,
! [X2,X0,X1] :
( sP4(X0,X1)
| ~ in(X2,X0)
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1204,plain,
! [X0] : ~ sP4(X0,union(X0)),
inference(unit_resulting_resolution,[],[f322,f570,f272]) ).
fof(f272,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ sP4(X0,X3)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f211,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',t10_ordinal1) ).
fof(f78520,plain,
in(sK7,sK6),
inference(unit_resulting_resolution,[],[f78518,f197]) ).
fof(f197,plain,
( in(sK7,sK6)
| ~ being_limit_ordinal(sK6) ),
inference(cnf_transformation,[],[f135]) ).
fof(f405746,plain,
subset(sK6,sK13(sK6,sK7)),
inference(forward_demodulation,[],[f404970,f341737]) ).
fof(f341737,plain,
sK6 = succ(sK7),
inference(subsumption_resolution,[],[f341736,f85966]) ).
fof(f85966,plain,
subset(sK7,sK6),
inference(unit_resulting_resolution,[],[f326,f78520,f238]) ).
fof(f238,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK8(X0),X0)
& in(sK8(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f141,f142]) ).
fof(f142,plain,
! [X0] :
( ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) )
=> ( ~ subset(sK8(X0),X0)
& in(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',d2_ordinal1) ).
fof(f341736,plain,
( sK6 = succ(sK7)
| ~ subset(sK7,sK6) ),
inference(subsumption_resolution,[],[f341735,f78518]) ).
fof(f341735,plain,
( sK6 = succ(sK7)
| ~ being_limit_ordinal(sK6)
| ~ subset(sK7,sK6) ),
inference(subsumption_resolution,[],[f341734,f85931]) ).
fof(f85931,plain,
epsilon_transitive(succ(sK7)),
inference(unit_resulting_resolution,[],[f85886,f218]) ).
fof(f218,plain,
! [X0] :
( epsilon_transitive(succ(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f85886,plain,
sP0(sK7),
inference(unit_resulting_resolution,[],[f78519,f221]) ).
fof(f221,plain,
! [X0] :
( sP0(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( sP0(X0)
| ~ ordinal(X0) ),
inference(definition_folding,[],[f81,f119]) ).
fof(f81,plain,
! [X0] :
( ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ordinal(X0)
=> ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',fc3_ordinal1) ).
fof(f78519,plain,
ordinal(sK7),
inference(unit_resulting_resolution,[],[f78518,f196]) ).
fof(f196,plain,
( ordinal(sK7)
| ~ being_limit_ordinal(sK6) ),
inference(cnf_transformation,[],[f135]) ).
fof(f341734,plain,
( sK6 = succ(sK7)
| ~ epsilon_transitive(succ(sK7))
| ~ being_limit_ordinal(sK6)
| ~ subset(sK7,sK6) ),
inference(subsumption_resolution,[],[f341632,f78520]) ).
fof(f341632,plain,
( ~ in(sK7,sK6)
| sK6 = succ(sK7)
| ~ epsilon_transitive(succ(sK7))
| ~ being_limit_ordinal(sK6)
| ~ subset(sK7,sK6) ),
inference(resolution,[],[f16580,f6005]) ).
fof(f6005,plain,
( ~ subset(singleton(sK7),sK6)
| sK6 = succ(sK7)
| ~ epsilon_transitive(succ(sK7))
| ~ being_limit_ordinal(sK6)
| ~ subset(sK7,sK6) ),
inference(resolution,[],[f1072,f974]) ).
fof(f974,plain,
! [X8,X9] :
( subset(succ(X8),X9)
| ~ subset(singleton(X8),X9)
| ~ subset(X8,X9) ),
inference(superposition,[],[f284,f213]) ).
fof(f213,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',d1_ordinal1) ).
fof(f284,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',t8_xboole_1) ).
fof(f1072,plain,
( ~ subset(succ(sK7),sK6)
| ~ being_limit_ordinal(sK6)
| sK6 = succ(sK7)
| ~ epsilon_transitive(succ(sK7)) ),
inference(resolution,[],[f941,f261]) ).
fof(f941,plain,
( ~ proper_subset(succ(sK7),sK6)
| ~ epsilon_transitive(succ(sK7))
| ~ being_limit_ordinal(sK6) ),
inference(subsumption_resolution,[],[f936,f194]) ).
fof(f936,plain,
( ~ proper_subset(succ(sK7),sK6)
| ~ ordinal(sK6)
| ~ epsilon_transitive(succ(sK7))
| ~ being_limit_ordinal(sK6) ),
inference(resolution,[],[f214,f198]) ).
fof(f198,plain,
( ~ in(succ(sK7),sK6)
| ~ being_limit_ordinal(sK6) ),
inference(cnf_transformation,[],[f135]) ).
fof(f16580,plain,
! [X2,X3] :
( subset(singleton(X2),X3)
| ~ in(X2,X3) ),
inference(duplicate_literal_removal,[],[f16559]) ).
fof(f16559,plain,
! [X2,X3] :
( ~ in(X2,X3)
| subset(singleton(X2),X3)
| subset(singleton(X2),X3) ),
inference(superposition,[],[f264,f2237]) ).
fof(f2237,plain,
! [X2,X3] :
( sK10(singleton(X2),X3) = X2
| subset(singleton(X2),X3) ),
inference(resolution,[],[f853,f263]) ).
fof(f263,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f853,plain,
! [X0,X1] :
( ~ in(X0,singleton(X1))
| X0 = X1 ),
inference(resolution,[],[f265,f321]) ).
fof(f321,plain,
! [X0] : sP3(X0,singleton(X0)),
inference(equality_resolution,[],[f269]) ).
fof(f269,plain,
! [X0,X1] :
( sP3(X0,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ~ sP3(X0,X1) )
& ( sP3(X0,X1)
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( singleton(X0) = X1
<=> sP3(X0,X1) ),
inference(definition_folding,[],[f13,f125]) ).
fof(f125,plain,
! [X0,X1] :
( sP3(X0,X1)
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',d1_tarski) ).
fof(f265,plain,
! [X3,X0,X1] :
( ~ sP3(X0,X1)
| ~ in(X3,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ( ( sK11(X0,X1) != X0
| ~ in(sK11(X0,X1),X1) )
& ( sK11(X0,X1) = X0
| in(sK11(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| ~ sP3(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f154,f155]) ).
fof(f155,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK11(X0,X1) != X0
| ~ in(sK11(X0,X1),X1) )
& ( sK11(X0,X1) = X0
| in(sK11(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| ~ sP3(X0,X1) ) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| ~ sP3(X0,X1) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f264,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f404970,plain,
subset(succ(sK7),sK13(sK6,sK7)),
inference(unit_resulting_resolution,[],[f321,f104931,f341449,f2640]) ).
fof(f2640,plain,
! [X10,X11,X9] :
( subset(succ(X9),X11)
| ~ subset(X10,X11)
| ~ subset(X9,X11)
| ~ sP3(X9,X10) ),
inference(superposition,[],[f284,f624]) ).
fof(f624,plain,
! [X0,X1] :
( set_union2(X0,X1) = succ(X0)
| ~ sP3(X0,X1) ),
inference(superposition,[],[f213,f270]) ).
fof(f270,plain,
! [X0,X1] :
( singleton(X0) = X1
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f341449,plain,
subset(singleton(sK7),sK13(sK6,sK7)),
inference(unit_resulting_resolution,[],[f89526,f16580]) ).
fof(f89526,plain,
in(sK7,sK13(sK6,sK7)),
inference(unit_resulting_resolution,[],[f86442,f275]) ).
fof(f104931,plain,
subset(sK7,sK13(sK6,sK7)),
inference(unit_resulting_resolution,[],[f92738,f89526,f238]) ).
fof(f92738,plain,
epsilon_transitive(sK13(sK6,sK7)),
inference(unit_resulting_resolution,[],[f89530,f215]) ).
fof(f89530,plain,
ordinal(sK13(sK6,sK7)),
inference(unit_resulting_resolution,[],[f194,f86442,f795]) ).
fof(f795,plain,
! [X0,X1] :
( ordinal(sK13(X0,X1))
| ~ sP4(X0,X1)
| ~ ordinal(X0) ),
inference(resolution,[],[f276,f248]) ).
fof(f248,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421',t23_ordinal1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU237+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33 % Computer : n032.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 23 12:21:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.YO3vjLc8aU/Vampire---4.8_3421
% 0.12/0.33 % (3563)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.37 % (3568)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.37 % (3565)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.18/0.37 % (3567)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.18/0.38 % (3569)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.18/0.38 % (3564)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_1192 on Vampire---4 for (1192ds/0Mi)
% 0.18/0.38 % (3566)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.18/0.39 % (3570)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 167.87/24.60 % (3569)First to succeed.
% 167.87/24.61 % (3569)Refutation found. Thanks to Tanya!
% 167.87/24.61 % SZS status Theorem for Vampire---4
% 167.87/24.61 % SZS output start Proof for Vampire---4
% See solution above
% 167.87/24.61 % (3569)------------------------------
% 167.87/24.61 % (3569)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 167.87/24.61 % (3569)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 167.87/24.61 % (3569)Termination reason: Refutation
% 167.87/24.61
% 167.87/24.61 % (3569)Memory used [KB]: 196116
% 167.87/24.61 % (3569)Time elapsed: 24.197 s
% 167.87/24.61 % (3569)------------------------------
% 167.87/24.61 % (3569)------------------------------
% 167.87/24.61 % (3563)Success in time 24.13 s
% 167.87/24.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------