TSTP Solution File: SWC363+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC363+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 : n014.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 20:58:46 EDT 2023
% Result : Theorem 6.02s 1.22s
% Output : Refutation 6.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 99 ( 11 unt; 0 def)
% Number of atoms : 520 ( 112 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 662 ( 241 ~; 226 |; 155 &)
% ( 10 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 169 (; 110 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23468,plain,
$false,
inference(avatar_sat_refutation,[],[f652,f657,f662,f672,f4384,f4389,f23467]) ).
fof(f23467,plain,
( ~ spl71_1
| ~ spl71_3
| ~ spl71_4
| ~ spl71_141
| ~ spl71_142 ),
inference(avatar_contradiction_clause,[],[f23466]) ).
fof(f23466,plain,
( $false
| ~ spl71_1
| ~ spl71_3
| ~ spl71_4
| ~ spl71_141
| ~ spl71_142 ),
inference(subsumption_resolution,[],[f23465,f4259]) ).
fof(f4259,plain,
( ssList(sK63(sK21,sK22))
| ~ spl71_141 ),
inference(avatar_component_clause,[],[f4258]) ).
fof(f4258,plain,
( spl71_141
<=> ssList(sK63(sK21,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_141])]) ).
fof(f23465,plain,
( ~ ssList(sK63(sK21,sK22))
| ~ spl71_1
| ~ spl71_3
| ~ spl71_4
| ~ spl71_142 ),
inference(subsumption_resolution,[],[f23464,f4263]) ).
fof(f4263,plain,
( ssList(sK62(sK21,sK22))
| ~ spl71_142 ),
inference(avatar_component_clause,[],[f4262]) ).
fof(f4262,plain,
( spl71_142
<=> ssList(sK62(sK21,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_142])]) ).
fof(f23464,plain,
( ~ ssList(sK62(sK21,sK22))
| ~ ssList(sK63(sK21,sK22))
| ~ spl71_1
| ~ spl71_3
| ~ spl71_4 ),
inference(subsumption_resolution,[],[f23448,f604]) ).
fof(f604,plain,
~ segmentP(sK21,sK20),
inference(definition_unfolding,[],[f382,f379,f380]) ).
fof(f380,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ( ~ neq(sK21,nil)
| ( memberP(sK21,sK22)
& sK20 = cons(sK22,nil)
& ssItem(sK22) ) )
& ( nil != sK21
| nil = sK20 )
& ~ segmentP(sK19,sK18)
& 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,sK22])],[f99,f254,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ~ segmentP(X1,X0)
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ~ segmentP(X1,sK18)
& 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(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ~ segmentP(X1,sK18)
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ~ segmentP(sK19,sK18)
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ~ segmentP(sK19,sK18)
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = sK20
& ssItem(X4) ) )
& ( nil != X3
| nil = sK20 )
& ~ segmentP(sK19,sK18)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = sK20
& ssItem(X4) ) )
& ( nil != X3
| nil = sK20 )
& ~ segmentP(sK19,sK18)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ~ neq(sK21,nil)
| ? [X4] :
( memberP(sK21,X4)
& cons(X4,nil) = sK20
& ssItem(X4) ) )
& ( nil != sK21
| nil = sK20 )
& ~ segmentP(sK19,sK18)
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X4] :
( memberP(sK21,X4)
& cons(X4,nil) = sK20
& ssItem(X4) )
=> ( memberP(sK21,sK22)
& sK20 = cons(sK22,nil)
& ssItem(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ~ segmentP(X1,X0)
& 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(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ~ segmentP(X1,X0)
& 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(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ( nil = X3
& nil != X2 )
| segmentP(X1,X0)
| ~ 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(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ( nil = X3
& nil != X2 )
| segmentP(X1,X0)
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1cBd3mmsM2/Vampire---4.8_7654',co1) ).
fof(f379,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f255]) ).
fof(f382,plain,
~ segmentP(sK19,sK18),
inference(cnf_transformation,[],[f255]) ).
fof(f23448,plain,
( segmentP(sK21,sK20)
| ~ ssList(sK62(sK21,sK22))
| ~ ssList(sK63(sK21,sK22))
| ~ spl71_1
| ~ spl71_3
| ~ spl71_4 ),
inference(superposition,[],[f6267,f3049]) ).
fof(f3049,plain,
( sK21 = app(sK62(sK21,sK22),cons(sK22,sK63(sK21,sK22)))
| ~ spl71_1
| ~ spl71_4 ),
inference(subsumption_resolution,[],[f3048,f378]) ).
fof(f378,plain,
ssList(sK21),
inference(cnf_transformation,[],[f255]) ).
fof(f3048,plain,
( sK21 = app(sK62(sK21,sK22),cons(sK22,sK63(sK21,sK22)))
| ~ ssList(sK21)
| ~ spl71_1
| ~ spl71_4 ),
inference(subsumption_resolution,[],[f3021,f661]) ).
fof(f661,plain,
( ssItem(sK22)
| ~ spl71_4 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl71_4
<=> ssItem(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_4])]) ).
fof(f3021,plain,
( sK21 = app(sK62(sK21,sK22),cons(sK22,sK63(sK21,sK22)))
| ~ ssItem(sK22)
| ~ ssList(sK21)
| ~ spl71_1 ),
inference(resolution,[],[f565,f647]) ).
fof(f647,plain,
( memberP(sK21,sK22)
| ~ spl71_1 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl71_1
<=> memberP(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1])]) ).
fof(f565,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK62(X0,X1),cons(X1,sK63(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK62(X0,X1),cons(X1,sK63(X0,X1))) = X0
& ssList(sK63(X0,X1))
& ssList(sK62(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62,sK63])],[f352,f354,f353]) ).
fof(f353,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK62(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK62(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f354,plain,
! [X0,X1] :
( ? [X5] :
( app(sK62(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK62(X0,X1),cons(X1,sK63(X0,X1))) = X0
& ssList(sK63(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1cBd3mmsM2/Vampire---4.8_7654',ax3) ).
fof(f6267,plain,
( ! [X24,X23] :
( segmentP(app(X24,cons(sK22,X23)),sK20)
| ~ ssList(X24)
| ~ ssList(X23) )
| ~ spl71_3
| ~ spl71_4 ),
inference(subsumption_resolution,[],[f6249,f377]) ).
fof(f377,plain,
ssList(sK20),
inference(cnf_transformation,[],[f255]) ).
fof(f6249,plain,
( ! [X24,X23] :
( segmentP(app(X24,cons(sK22,X23)),sK20)
| ~ ssList(X24)
| ~ ssList(sK20)
| ~ ssList(X23) )
| ~ spl71_3
| ~ spl71_4 ),
inference(duplicate_literal_removal,[],[f6238]) ).
fof(f6238,plain,
( ! [X24,X23] :
( segmentP(app(X24,cons(sK22,X23)),sK20)
| ~ ssList(X24)
| ~ ssList(sK20)
| ~ ssList(X23)
| ~ ssList(X23) )
| ~ spl71_3
| ~ spl71_4 ),
inference(superposition,[],[f3727,f1031]) ).
fof(f1031,plain,
( ! [X0] :
( cons(sK22,X0) = app(sK20,X0)
| ~ ssList(X0) )
| ~ spl71_3
| ~ spl71_4 ),
inference(subsumption_resolution,[],[f1020,f661]) ).
fof(f1020,plain,
( ! [X0] :
( cons(sK22,X0) = app(sK20,X0)
| ~ ssItem(sK22)
| ~ ssList(X0) )
| ~ spl71_3 ),
inference(superposition,[],[f562,f675]) ).
fof(f675,plain,
( sK20 = cons(sK22,nil)
| ~ spl71_3 ),
inference(backward_demodulation,[],[f635,f656]) ).
fof(f656,plain,
( sK20 = sF70
| ~ spl71_3 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f654,plain,
( spl71_3
<=> sK20 = sF70 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_3])]) ).
fof(f635,plain,
cons(sK22,nil) = sF70,
introduced(function_definition,[]) ).
fof(f562,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.1cBd3mmsM2/Vampire---4.8_7654',ax81) ).
fof(f3727,plain,
! [X2,X0,X1] :
( segmentP(app(X0,app(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3708,f2728]) ).
fof(f2728,plain,
! [X11,X12,X13] :
( ssList(app(X11,app(X12,X13)))
| ~ ssList(X13)
| ~ ssList(X12)
| ~ ssList(X11) ),
inference(subsumption_resolution,[],[f2703,f567]) ).
fof(f567,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.1cBd3mmsM2/Vampire---4.8_7654',ax26) ).
fof(f2703,plain,
! [X11,X12,X13] :
( ssList(app(X11,app(X12,X13)))
| ~ ssList(X13)
| ~ ssList(app(X11,X12))
| ~ ssList(X12)
| ~ ssList(X11) ),
inference(duplicate_literal_removal,[],[f2667]) ).
fof(f2667,plain,
! [X11,X12,X13] :
( ssList(app(X11,app(X12,X13)))
| ~ ssList(X13)
| ~ ssList(app(X11,X12))
| ~ ssList(X13)
| ~ ssList(X12)
| ~ ssList(X11) ),
inference(superposition,[],[f567,f592]) ).
fof(f592,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1cBd3mmsM2/Vampire---4.8_7654',ax82) ).
fof(f3708,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,app(X1,X2)),X1) ),
inference(duplicate_literal_removal,[],[f3703]) ).
fof(f3703,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,app(X1,X2)),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[],[f632,f592]) ).
fof(f632,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f585]) ).
fof(f585,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1))
& ssList(sK66(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66,sK67])],[f366,f368,f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f368,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1cBd3mmsM2/Vampire---4.8_7654',ax7) ).
fof(f4389,plain,
( ~ spl71_1
| ~ spl71_4
| spl71_141 ),
inference(avatar_contradiction_clause,[],[f4388]) ).
fof(f4388,plain,
( $false
| ~ spl71_1
| ~ spl71_4
| spl71_141 ),
inference(subsumption_resolution,[],[f4387,f378]) ).
fof(f4387,plain,
( ~ ssList(sK21)
| ~ spl71_1
| ~ spl71_4
| spl71_141 ),
inference(subsumption_resolution,[],[f4386,f661]) ).
fof(f4386,plain,
( ~ ssItem(sK22)
| ~ ssList(sK21)
| ~ spl71_1
| spl71_141 ),
inference(subsumption_resolution,[],[f4385,f647]) ).
fof(f4385,plain,
( ~ memberP(sK21,sK22)
| ~ ssItem(sK22)
| ~ ssList(sK21)
| spl71_141 ),
inference(resolution,[],[f4260,f564]) ).
fof(f564,plain,
! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f4260,plain,
( ~ ssList(sK63(sK21,sK22))
| spl71_141 ),
inference(avatar_component_clause,[],[f4258]) ).
fof(f4384,plain,
( ~ spl71_1
| ~ spl71_4
| spl71_142 ),
inference(avatar_contradiction_clause,[],[f4383]) ).
fof(f4383,plain,
( $false
| ~ spl71_1
| ~ spl71_4
| spl71_142 ),
inference(subsumption_resolution,[],[f4382,f378]) ).
fof(f4382,plain,
( ~ ssList(sK21)
| ~ spl71_1
| ~ spl71_4
| spl71_142 ),
inference(subsumption_resolution,[],[f4381,f661]) ).
fof(f4381,plain,
( ~ ssItem(sK22)
| ~ ssList(sK21)
| ~ spl71_1
| spl71_142 ),
inference(subsumption_resolution,[],[f4380,f647]) ).
fof(f4380,plain,
( ~ memberP(sK21,sK22)
| ~ ssItem(sK22)
| ~ ssList(sK21)
| spl71_142 ),
inference(resolution,[],[f4264,f563]) ).
fof(f563,plain,
! [X0,X1] :
( ssList(sK62(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f4264,plain,
( ~ ssList(sK62(sK21,sK22))
| spl71_142 ),
inference(avatar_component_clause,[],[f4262]) ).
fof(f672,plain,
spl71_2,
inference(avatar_split_clause,[],[f605,f649]) ).
fof(f649,plain,
( spl71_2
<=> neq(sK21,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_2])]) ).
fof(f605,plain,
neq(sK21,nil),
inference(definition_unfolding,[],[f381,f379]) ).
fof(f381,plain,
neq(sK19,nil),
inference(cnf_transformation,[],[f255]) ).
fof(f662,plain,
( spl71_4
| ~ spl71_2 ),
inference(avatar_split_clause,[],[f384,f649,f659]) ).
fof(f384,plain,
( ~ neq(sK21,nil)
| ssItem(sK22) ),
inference(cnf_transformation,[],[f255]) ).
fof(f657,plain,
( spl71_3
| ~ spl71_2 ),
inference(avatar_split_clause,[],[f636,f649,f654]) ).
fof(f636,plain,
( ~ neq(sK21,nil)
| sK20 = sF70 ),
inference(definition_folding,[],[f385,f635]) ).
fof(f385,plain,
( ~ neq(sK21,nil)
| sK20 = cons(sK22,nil) ),
inference(cnf_transformation,[],[f255]) ).
fof(f652,plain,
( spl71_1
| ~ spl71_2 ),
inference(avatar_split_clause,[],[f386,f649,f645]) ).
fof(f386,plain,
( ~ neq(sK21,nil)
| memberP(sK21,sK22) ),
inference(cnf_transformation,[],[f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC363+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 17:56:30 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.1cBd3mmsM2/Vampire---4.8_7654
% 0.14/0.37 % (7870)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (7877)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.43 % (7874)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.43 % (7872)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.43 % (7871)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)
% 0.22/0.43 % (7873)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)
% 0.22/0.43 % (7875)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)
% 0.22/0.43 % (7876)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)
% 6.02/1.21 % (7874)First to succeed.
% 6.02/1.22 % (7874)Refutation found. Thanks to Tanya!
% 6.02/1.22 % SZS status Theorem for Vampire---4
% 6.02/1.22 % SZS output start Proof for Vampire---4
% See solution above
% 6.02/1.22 % (7874)------------------------------
% 6.02/1.22 % (7874)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 6.02/1.22 % (7874)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 6.02/1.22 % (7874)Termination reason: Refutation
% 6.02/1.22
% 6.02/1.22 % (7874)Memory used [KB]: 21748
% 6.02/1.22 % (7874)Time elapsed: 0.788 s
% 6.02/1.22 % (7874)------------------------------
% 6.02/1.22 % (7874)------------------------------
% 6.02/1.22 % (7870)Success in time 0.85 s
% 6.02/1.22 % Vampire---4.8 exiting
%------------------------------------------------------------------------------