TSTP Solution File: SWC349+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC349+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:13:23 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 51
% Syntax : Number of formulae : 155 ( 61 unt; 0 def)
% Number of atoms : 404 ( 74 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 368 ( 119 ~; 95 |; 104 &)
% ( 27 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 46 ( 44 usr; 26 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 116 ( 92 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f810,plain,
$false,
inference(avatar_sat_refutation,[],[f700,f705,f710,f715,f720,f725,f730,f735,f740,f745,f750,f755,f759,f763,f767,f771,f775,f779,f784,f788,f792,f796,f800,f804,f808,f809]) ).
fof(f809,plain,
( ~ spl69_2
| spl69_11
| ~ spl69_18 ),
inference(avatar_split_clause,[],[f780,f777,f747,f702]) ).
fof(f702,plain,
( spl69_2
<=> ssList(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).
fof(f747,plain,
( spl69_11
<=> frontsegP(sK21,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).
fof(f777,plain,
( spl69_18
<=> ! [X0] :
( frontsegP(X0,sK20)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).
fof(f780,plain,
( ~ ssList(sK21)
| spl69_11
| ~ spl69_18 ),
inference(resolution,[],[f778,f749]) ).
fof(f749,plain,
( ~ frontsegP(sK21,sK20)
| spl69_11 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f778,plain,
( ! [X0] :
( frontsegP(X0,sK20)
| ~ ssList(X0) )
| ~ spl69_18 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f808,plain,
spl69_25,
inference(avatar_split_clause,[],[f620,f806]) ).
fof(f806,plain,
( spl69_25
<=> ! [X0] :
( totalorderedP(cons(X0,sK20))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).
fof(f620,plain,
! [X0] :
( totalorderedP(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f402,f378]) ).
fof(f378,plain,
nil = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ~ frontsegP(sK19,sK18)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& nil = sK20
& 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] :
( ~ frontsegP(X1,X0)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ frontsegP(X1,sK18)
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ frontsegP(X1,sK18)
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ frontsegP(sK19,sK18)
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ~ frontsegP(sK19,sK18)
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ~ frontsegP(sK19,sK18)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& nil = sK20
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ~ frontsegP(sK19,sK18)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& nil = sK20
& ssList(X3) )
=> ( ~ frontsegP(sK19,sK18)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& nil = sK20
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ frontsegP(X1,X0)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ frontsegP(X1,X0)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& nil = X2
& 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)
=> ( frontsegP(X1,X0)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3
| nil != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(X1,X0)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3
| nil != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f402,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f804,plain,
spl69_24,
inference(avatar_split_clause,[],[f619,f802]) ).
fof(f802,plain,
( spl69_24
<=> ! [X0] :
( strictorderedP(cons(X0,sK20))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).
fof(f619,plain,
! [X0] :
( strictorderedP(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f401,f378]) ).
fof(f401,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,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/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f800,plain,
spl69_23,
inference(avatar_split_clause,[],[f618,f798]) ).
fof(f798,plain,
( spl69_23
<=> ! [X0] :
( strictorderP(cons(X0,sK20))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).
fof(f618,plain,
! [X0] :
( strictorderP(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f400,f378]) ).
fof(f400,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
fof(f796,plain,
spl69_22,
inference(avatar_split_clause,[],[f617,f794]) ).
fof(f794,plain,
( spl69_22
<=> ! [X0] :
( totalorderP(cons(X0,sK20))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).
fof(f617,plain,
! [X0] :
( totalorderP(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f399,f378]) ).
fof(f399,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
fof(f792,plain,
spl69_21,
inference(avatar_split_clause,[],[f616,f790]) ).
fof(f790,plain,
( spl69_21
<=> ! [X0] :
( cyclefreeP(cons(X0,sK20))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).
fof(f616,plain,
! [X0] :
( cyclefreeP(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f398,f378]) ).
fof(f398,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(f788,plain,
spl69_20,
inference(avatar_split_clause,[],[f615,f786]) ).
fof(f786,plain,
( spl69_20
<=> ! [X0] :
( duplicatefreeP(cons(X0,sK20))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).
fof(f615,plain,
! [X0] :
( duplicatefreeP(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f397,f378]) ).
fof(f397,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
fof(f784,plain,
spl69_19,
inference(avatar_split_clause,[],[f614,f782]) ).
fof(f782,plain,
( spl69_19
<=> ! [X0] :
( equalelemsP(cons(X0,sK20))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).
fof(f614,plain,
! [X0] :
( equalelemsP(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f396,f378]) ).
fof(f396,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
fof(f779,plain,
spl69_18,
inference(avatar_split_clause,[],[f633,f777]) ).
fof(f633,plain,
! [X0] :
( frontsegP(X0,sK20)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f450,f378]) ).
fof(f450,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/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f775,plain,
spl69_17,
inference(avatar_split_clause,[],[f632,f773]) ).
fof(f773,plain,
( spl69_17
<=> ! [X0] :
( rearsegP(X0,sK20)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).
fof(f632,plain,
! [X0] :
( rearsegP(X0,sK20)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f448,f378]) ).
fof(f448,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f771,plain,
spl69_16,
inference(avatar_split_clause,[],[f631,f769]) ).
fof(f769,plain,
( spl69_16
<=> ! [X0] :
( segmentP(X0,sK20)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).
fof(f631,plain,
! [X0] :
( segmentP(X0,sK20)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f447,f378]) ).
fof(f447,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f767,plain,
spl69_15,
inference(avatar_split_clause,[],[f613,f765]) ).
fof(f765,plain,
( spl69_15
<=> ! [X0] :
( ~ memberP(sK20,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).
fof(f613,plain,
! [X0] :
( ~ memberP(sK20,X0)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f392,f378]) ).
fof(f392,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/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f763,plain,
spl69_14,
inference(avatar_split_clause,[],[f668,f761]) ).
fof(f761,plain,
( spl69_14
<=> ! [X1] : sP2(sK20,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).
fof(f668,plain,
! [X1] : sP2(sK20,X1),
inference(equality_resolution,[],[f627]) ).
fof(f627,plain,
! [X0,X1] :
( sP2(X0,X1)
| sK20 != X0 ),
inference(definition_unfolding,[],[f441,f378]) ).
fof(f441,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f759,plain,
spl69_13,
inference(avatar_split_clause,[],[f666,f757]) ).
fof(f757,plain,
( spl69_13
<=> ! [X1] : sP0(sK20,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).
fof(f666,plain,
! [X1] : sP0(sK20,X1),
inference(equality_resolution,[],[f622]) ).
fof(f622,plain,
! [X0,X1] :
( sP0(X0,X1)
| sK20 != X0 ),
inference(definition_unfolding,[],[f433,f378]) ).
fof(f433,plain,
! [X0,X1] :
( sP0(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f266]) ).
fof(f266,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f755,plain,
spl69_12,
inference(avatar_split_clause,[],[f601,f752]) ).
fof(f752,plain,
( spl69_12
<=> neq(sK21,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).
fof(f601,plain,
neq(sK21,sK20),
inference(definition_unfolding,[],[f381,f379,f378]) ).
fof(f379,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f381,plain,
neq(sK19,nil),
inference(cnf_transformation,[],[f254]) ).
fof(f750,plain,
~ spl69_11,
inference(avatar_split_clause,[],[f600,f747]) ).
fof(f600,plain,
~ frontsegP(sK21,sK20),
inference(definition_unfolding,[],[f382,f379,f380]) ).
fof(f380,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f382,plain,
~ frontsegP(sK19,sK18),
inference(cnf_transformation,[],[f254]) ).
fof(f745,plain,
spl69_10,
inference(avatar_split_clause,[],[f611,f742]) ).
fof(f742,plain,
( spl69_10
<=> totalorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).
fof(f611,plain,
totalorderedP(sK20),
inference(definition_unfolding,[],[f390,f378]) ).
fof(f390,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f740,plain,
spl69_9,
inference(avatar_split_clause,[],[f610,f737]) ).
fof(f737,plain,
( spl69_9
<=> strictorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).
fof(f610,plain,
strictorderedP(sK20),
inference(definition_unfolding,[],[f389,f378]) ).
fof(f389,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f735,plain,
spl69_8,
inference(avatar_split_clause,[],[f609,f732]) ).
fof(f732,plain,
( spl69_8
<=> totalorderP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).
fof(f609,plain,
totalorderP(sK20),
inference(definition_unfolding,[],[f388,f378]) ).
fof(f388,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
fof(f730,plain,
spl69_7,
inference(avatar_split_clause,[],[f608,f727]) ).
fof(f727,plain,
( spl69_7
<=> strictorderP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).
fof(f608,plain,
strictorderP(sK20),
inference(definition_unfolding,[],[f387,f378]) ).
fof(f387,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
fof(f725,plain,
spl69_6,
inference(avatar_split_clause,[],[f607,f722]) ).
fof(f722,plain,
( spl69_6
<=> cyclefreeP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).
fof(f607,plain,
cyclefreeP(sK20),
inference(definition_unfolding,[],[f386,f378]) ).
fof(f386,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f720,plain,
spl69_5,
inference(avatar_split_clause,[],[f606,f717]) ).
fof(f717,plain,
( spl69_5
<=> duplicatefreeP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).
fof(f606,plain,
duplicatefreeP(sK20),
inference(definition_unfolding,[],[f385,f378]) ).
fof(f385,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f715,plain,
spl69_4,
inference(avatar_split_clause,[],[f605,f712]) ).
fof(f712,plain,
( spl69_4
<=> equalelemsP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f605,plain,
equalelemsP(sK20),
inference(definition_unfolding,[],[f384,f378]) ).
fof(f384,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f710,plain,
~ spl69_3,
inference(avatar_split_clause,[],[f604,f707]) ).
fof(f707,plain,
( spl69_3
<=> singletonP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f604,plain,
~ singletonP(sK20),
inference(definition_unfolding,[],[f383,f378]) ).
fof(f383,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f705,plain,
spl69_2,
inference(avatar_split_clause,[],[f377,f702]) ).
fof(f377,plain,
ssList(sK21),
inference(cnf_transformation,[],[f254]) ).
fof(f700,plain,
spl69_1,
inference(avatar_split_clause,[],[f376,f697]) ).
fof(f697,plain,
( spl69_1
<=> ssList(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).
fof(f376,plain,
ssList(sK20),
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC349+1 : TPTP v8.2.0. Released v2.4.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.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 : Sun May 19 03:50:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (26697)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (26700)WARNING: value z3 for option sas not known
% 0.22/0.38 % (26700)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (26702)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (26701)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (26698)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (26702)First to succeed.
% 0.22/0.39 % (26699)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (26702)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26697"
% 0.22/0.39 % (26703)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (26702)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (26702)------------------------------
% 0.22/0.39 % (26702)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (26702)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (26702)Memory used [KB]: 1263
% 0.22/0.39 % (26702)Time elapsed: 0.009 s
% 0.22/0.39 % (26702)Instructions burned: 20 (million)
% 0.22/0.39 % (26697)Success in time 0.012 s
%------------------------------------------------------------------------------