TSTP Solution File: SWC214+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC214+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n011.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 20:57:30 EDT 2023
% Result : Theorem 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 118 ( 13 unt; 0 def)
% Number of atoms : 552 ( 85 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 703 ( 269 ~; 261 |; 131 &)
% ( 12 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 151 (; 115 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2104,plain,
$false,
inference(avatar_sat_refutation,[],[f705,f1473,f1915,f1932,f2046,f2067,f2100]) ).
fof(f2100,plain,
( spl69_27
| ~ spl69_31 ),
inference(avatar_contradiction_clause,[],[f2099]) ).
fof(f2099,plain,
( $false
| spl69_27
| ~ spl69_31 ),
inference(subsumption_resolution,[],[f2094,f2015]) ).
fof(f2015,plain,
( ssItem(sK23(sK21))
| ~ spl69_31 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f2014,plain,
( spl69_31
<=> ssItem(sK23(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).
fof(f2094,plain,
( ~ ssItem(sK23(sK21))
| spl69_27 ),
inference(resolution,[],[f1914,f404]) ).
fof(f404,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax68) ).
fof(f1914,plain,
( ~ strictorderedP(cons(sK23(sK21),nil))
| spl69_27 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f1912,plain,
( spl69_27
<=> strictorderedP(cons(sK23(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).
fof(f2067,plain,
( spl69_4
| spl69_31 ),
inference(avatar_contradiction_clause,[],[f2066]) ).
fof(f2066,plain,
( $false
| spl69_4
| spl69_31 ),
inference(subsumption_resolution,[],[f2065,f377]) ).
fof(f377,plain,
ssList(sK21),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ~ neq(sK18,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ frontsegP(sK21,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
& strictorderedP(sK20)
& frontsegP(sK21,sK20)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f99,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X0,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(sK18,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(sK18,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ neq(sK18,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ~ neq(sK18,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ~ neq(sK18,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ frontsegP(X3,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
& strictorderedP(sK20)
& frontsegP(X3,sK20)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ~ neq(sK18,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ frontsegP(X3,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
& strictorderedP(sK20)
& frontsegP(X3,sK20)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ~ neq(sK18,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ frontsegP(sK21,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
& strictorderedP(sK20)
& frontsegP(sK21,sK20)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X0,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ neq(X0,nil)
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( neq(X0,nil)
| ? [X4] :
( strictorderedP(X4)
& segmentP(X4,X2)
& frontsegP(X3,X4)
& neq(X2,X4)
& ssList(X4) )
| ~ strictorderedP(X2)
| ~ frontsegP(X3,X2)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( neq(X0,nil)
| ? [X4] :
( strictorderedP(X4)
& segmentP(X4,X2)
& frontsegP(X3,X4)
& neq(X2,X4)
& ssList(X4) )
| ~ strictorderedP(X2)
| ~ frontsegP(X3,X2)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',co1) ).
fof(f2065,plain,
( ~ ssList(sK21)
| spl69_4
| spl69_31 ),
inference(subsumption_resolution,[],[f2063,f732]) ).
fof(f732,plain,
( nil != sK21
| spl69_4 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl69_4
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f2063,plain,
( nil = sK21
| ~ ssList(sK21)
| spl69_31 ),
inference(resolution,[],[f2016,f458]) ).
fof(f458,plain,
! [X0] :
( ssItem(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ( cons(sK23(X0),sK22(X0)) = X0
& ssItem(sK23(X0))
& ssList(sK22(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f149,f275,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK22(X0)) = X0
& ssItem(X2) )
& ssList(sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK22(X0)) = X0
& ssItem(X2) )
=> ( cons(sK23(X0),sK22(X0)) = X0
& ssItem(sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax20) ).
fof(f2016,plain,
( ~ ssItem(sK23(sK21))
| spl69_31 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f2046,plain,
( ~ spl69_31
| ~ spl69_25 ),
inference(avatar_split_clause,[],[f2045,f1904,f2014]) ).
fof(f1904,plain,
( spl69_25
<=> nil = cons(sK23(sK21),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).
fof(f2045,plain,
( ~ ssItem(sK23(sK21))
| ~ spl69_25 ),
inference(subsumption_resolution,[],[f2044,f394]) ).
fof(f394,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax38) ).
fof(f2044,plain,
( memberP(nil,sK23(sK21))
| ~ ssItem(sK23(sK21))
| ~ spl69_25 ),
inference(subsumption_resolution,[],[f1999,f393]) ).
fof(f393,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax17) ).
fof(f1999,plain,
( memberP(nil,sK23(sK21))
| ~ ssList(nil)
| ~ ssItem(sK23(sK21))
| ~ spl69_25 ),
inference(superposition,[],[f637,f1906]) ).
fof(f1906,plain,
( nil = cons(sK23(sK21),nil)
| ~ spl69_25 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f637,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f608]) ).
fof(f608,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f425]) ).
fof(f425,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax37) ).
fof(f1932,plain,
( spl69_4
| spl69_26 ),
inference(avatar_contradiction_clause,[],[f1931]) ).
fof(f1931,plain,
( $false
| spl69_4
| spl69_26 ),
inference(subsumption_resolution,[],[f1930,f377]) ).
fof(f1930,plain,
( ~ ssList(sK21)
| spl69_4
| spl69_26 ),
inference(subsumption_resolution,[],[f1928,f732]) ).
fof(f1928,plain,
( nil = sK21
| ~ ssList(sK21)
| spl69_26 ),
inference(resolution,[],[f1925,f458]) ).
fof(f1925,plain,
( ~ ssItem(sK23(sK21))
| spl69_26 ),
inference(subsumption_resolution,[],[f1923,f393]) ).
fof(f1923,plain,
( ~ ssItem(sK23(sK21))
| ~ ssList(nil)
| spl69_26 ),
inference(resolution,[],[f1910,f555]) ).
fof(f555,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax16) ).
fof(f1910,plain,
( ~ ssList(cons(sK23(sK21),nil))
| spl69_26 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1908,plain,
( spl69_26
<=> ssList(cons(sK23(sK21),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).
fof(f1915,plain,
( spl69_25
| ~ spl69_26
| ~ spl69_27
| ~ spl69_3
| spl69_4 ),
inference(avatar_split_clause,[],[f1902,f731,f680,f1912,f1908,f1904]) ).
fof(f680,plain,
( spl69_3
<=> nil = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f1902,plain,
( ~ strictorderedP(cons(sK23(sK21),nil))
| ~ ssList(cons(sK23(sK21),nil))
| nil = cons(sK23(sK21),nil)
| ~ spl69_3
| spl69_4 ),
inference(subsumption_resolution,[],[f1901,f377]) ).
fof(f1901,plain,
( ~ ssList(sK21)
| ~ strictorderedP(cons(sK23(sK21),nil))
| ~ ssList(cons(sK23(sK21),nil))
| nil = cons(sK23(sK21),nil)
| ~ spl69_3
| spl69_4 ),
inference(subsumption_resolution,[],[f1890,f732]) ).
fof(f1890,plain,
( nil = sK21
| ~ ssList(sK21)
| ~ strictorderedP(cons(sK23(sK21),nil))
| ~ ssList(cons(sK23(sK21),nil))
| nil = cons(sK23(sK21),nil)
| ~ spl69_3 ),
inference(resolution,[],[f1886,f722]) ).
fof(f722,plain,
( ! [X0] :
( ~ frontsegP(sK21,X0)
| ~ strictorderedP(X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl69_3 ),
inference(subsumption_resolution,[],[f721,f393]) ).
fof(f721,plain,
( ! [X0] :
( ~ strictorderedP(X0)
| ~ frontsegP(sK21,X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl69_3 ),
inference(duplicate_literal_removal,[],[f719]) ).
fof(f719,plain,
( ! [X0] :
( ~ strictorderedP(X0)
| ~ frontsegP(sK21,X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl69_3 ),
inference(resolution,[],[f713,f573]) ).
fof(f573,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax15) ).
fof(f713,plain,
( ! [X4] :
( ~ neq(nil,X4)
| ~ strictorderedP(X4)
| ~ frontsegP(sK21,X4)
| ~ ssList(X4) )
| ~ spl69_3 ),
inference(forward_demodulation,[],[f712,f682]) ).
fof(f682,plain,
( nil = sK20
| ~ spl69_3 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f712,plain,
( ! [X4] :
( ~ strictorderedP(X4)
| ~ frontsegP(sK21,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
| ~ spl69_3 ),
inference(subsumption_resolution,[],[f709,f450]) ).
fof(f450,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax57) ).
fof(f709,plain,
( ! [X4] :
( ~ segmentP(X4,nil)
| ~ strictorderedP(X4)
| ~ frontsegP(sK21,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) )
| ~ spl69_3 ),
inference(backward_demodulation,[],[f383,f682]) ).
fof(f383,plain,
! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK20)
| ~ frontsegP(sK21,X4)
| ~ neq(sK20,X4)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f254]) ).
fof(f1886,plain,
! [X0] :
( frontsegP(X0,cons(sK23(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1885,f458]) ).
fof(f1885,plain,
! [X0] :
( frontsegP(X0,cons(sK23(X0),nil))
| ~ ssItem(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1877,f457]) ).
fof(f457,plain,
! [X0] :
( ssList(sK22(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1877,plain,
! [X0] :
( frontsegP(X0,cons(sK23(X0),nil))
| ~ ssList(sK22(X0))
| ~ ssItem(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f1844,f459]) ).
fof(f459,plain,
! [X0] :
( cons(sK23(X0),sK22(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1844,plain,
! [X12,X13] :
( frontsegP(cons(X12,X13),cons(X12,nil))
| ~ ssList(X13)
| ~ ssItem(X12) ),
inference(subsumption_resolution,[],[f1837,f393]) ).
fof(f1837,plain,
! [X12,X13] :
( frontsegP(cons(X12,X13),cons(X12,nil))
| ~ ssList(nil)
| ~ ssList(X13)
| ~ ssItem(X12) ),
inference(duplicate_literal_removal,[],[f1831]) ).
fof(f1831,plain,
! [X12,X13] :
( frontsegP(cons(X12,X13),cons(X12,nil))
| ~ ssList(nil)
| ~ ssList(X13)
| ~ ssItem(X12)
| ~ ssList(X13) ),
inference(resolution,[],[f636,f452]) ).
fof(f452,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax45) ).
fof(f636,plain,
! [X2,X3,X1] :
( ~ frontsegP(X2,X3)
| frontsegP(cons(X1,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f609]) ).
fof(f609,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X2,X3,X0,X1] :
( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011',ax44) ).
fof(f1473,plain,
( ~ spl69_3
| ~ spl69_4 ),
inference(avatar_contradiction_clause,[],[f1472]) ).
fof(f1472,plain,
( $false
| ~ spl69_3
| ~ spl69_4 ),
inference(subsumption_resolution,[],[f1456,f710]) ).
fof(f710,plain,
( ~ neq(nil,nil)
| ~ spl69_3 ),
inference(backward_demodulation,[],[f602,f682]) ).
fof(f602,plain,
~ neq(sK20,nil),
inference(definition_unfolding,[],[f384,f379]) ).
fof(f379,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f384,plain,
~ neq(sK18,nil),
inference(cnf_transformation,[],[f254]) ).
fof(f1456,plain,
( neq(nil,nil)
| ~ spl69_4 ),
inference(backward_demodulation,[],[f603,f733]) ).
fof(f733,plain,
( nil = sK21
| ~ spl69_4 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f603,plain,
neq(sK21,nil),
inference(definition_unfolding,[],[f380,f378]) ).
fof(f378,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f380,plain,
neq(sK19,nil),
inference(cnf_transformation,[],[f254]) ).
fof(f705,plain,
spl69_3,
inference(avatar_split_clause,[],[f704,f680]) ).
fof(f704,plain,
nil = sK20,
inference(subsumption_resolution,[],[f703,f376]) ).
fof(f376,plain,
ssList(sK20),
inference(cnf_transformation,[],[f254]) ).
fof(f703,plain,
( nil = sK20
| ~ ssList(sK20) ),
inference(subsumption_resolution,[],[f698,f393]) ).
fof(f698,plain,
( nil = sK20
| ~ ssList(nil)
| ~ ssList(sK20) ),
inference(resolution,[],[f573,f602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC214+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n011.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 Aug 28 17:49:40 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.iH0bosE4m0/Vampire---4.8_18011
% 0.15/0.37 % (18130)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (18136)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.43 % (18134)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43 % (18133)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.43 % (18132)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.43 % (18131)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.43 % (18135)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.47 % (18134)First to succeed.
% 0.23/0.47 % (18137)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.48 % (18134)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Theorem for Vampire---4
% 0.23/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48 % (18134)------------------------------
% 0.23/0.48 % (18134)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48 % (18134)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48 % (18134)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (18134)Memory used [KB]: 6652
% 0.23/0.48 % (18134)Time elapsed: 0.047 s
% 0.23/0.48 % (18134)------------------------------
% 0.23/0.48 % (18134)------------------------------
% 0.23/0.48 % (18130)Success in time 0.108 s
% 0.23/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------