TSTP Solution File: SWC152+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC152+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 : n018.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 20:56:59 EDT 2023
% Result : Theorem 1.51s 0.67s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 37
% Syntax : Number of formulae : 183 ( 33 unt; 0 def)
% Number of atoms : 934 ( 229 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 1135 ( 384 ~; 365 |; 322 &)
% ( 12 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 280 (; 137 !; 143 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16131,plain,
$false,
inference(avatar_sat_refutation,[],[f678,f858,f939,f14465,f14899,f15391,f15588]) ).
fof(f15588,plain,
~ spl83_39,
inference(avatar_split_clause,[],[f15587,f1339]) ).
fof(f1339,plain,
( spl83_39
<=> nil = sF79 ),
introduced(avatar_definition,[new_symbols(naming,[spl83_39])]) ).
fof(f15587,plain,
nil != sF79,
inference(subsumption_resolution,[],[f15586,f769]) ).
fof(f769,plain,
ssList(sF78),
inference(subsumption_resolution,[],[f768,f399]) ).
fof(f399,plain,
ssList(sK26),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( ( nil = sK22
& nil = sK23 )
| sP0(sK23,sK22) )
& ( ~ leq(sK24,sK25)
| ( ( ~ leq(sK29,sK25)
| ~ leq(sK24,sK29) )
& memberP(sK27,sK29)
& ssItem(sK29) ) )
& leq(sK25,sK24)
& sK20 = app(app(app(app(sK26,cons(sK24,nil)),sK27),cons(sK25,nil)),sK28)
& ssList(sK28)
& ssList(sK27)
& ssList(sK26)
& ssItem(sK25)
& ssItem(sK24)
& sK20 = sK22
& sK21 = sK23
& ssList(sK23)
& ssList(sK22)
& ssList(sK21)
& ssList(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[f256,f266,f265,f264,f263,f262,f261,f260,f259,f258,f257]) ).
fof(f257,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK20
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK20 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK20
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK20 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK20
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK20 = X2
& sK21 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK20
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK20 = X2
& sK21 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK22
& nil = X3 )
| sP0(X3,sK22) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK20
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK20 = sK22
& sK21 = X3
& ssList(X3) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ? [X3] :
( ( ( nil = sK22
& nil = X3 )
| sP0(X3,sK22) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK20
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK20 = sK22
& sK21 = X3
& ssList(X3) )
=> ( ( ( nil = sK22
& nil = sK23 )
| sP0(sK23,sK22) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK20
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& sK20 = sK22
& sK21 = sK23
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK20
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK24,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(sK24,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,sK24)
& sK20 = app(app(app(app(X6,cons(sK24,nil)),X7),cons(X5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK24,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(sK24,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,sK24)
& sK20 = app(app(app(app(X6,cons(sK24,nil)),X7),cons(X5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
=> ( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK24,sK25)
| ? [X9] :
( ( ~ leq(X9,sK25)
| ~ leq(sK24,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(sK25,sK24)
& sK20 = app(app(app(app(X6,cons(sK24,nil)),X7),cons(sK25,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f263,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK24,sK25)
| ? [X9] :
( ( ~ leq(X9,sK25)
| ~ leq(sK24,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(sK25,sK24)
& sK20 = app(app(app(app(X6,cons(sK24,nil)),X7),cons(sK25,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
=> ( ? [X7] :
( ? [X8] :
( ( ~ leq(sK24,sK25)
| ? [X9] :
( ( ~ leq(X9,sK25)
| ~ leq(sK24,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(sK25,sK24)
& sK20 = app(app(app(app(sK26,cons(sK24,nil)),X7),cons(sK25,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK24,sK25)
| ? [X9] :
( ( ~ leq(X9,sK25)
| ~ leq(sK24,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(sK25,sK24)
& sK20 = app(app(app(app(sK26,cons(sK24,nil)),X7),cons(sK25,nil)),X8)
& ssList(X8) )
& ssList(X7) )
=> ( ? [X8] :
( ( ~ leq(sK24,sK25)
| ? [X9] :
( ( ~ leq(X9,sK25)
| ~ leq(sK24,X9) )
& memberP(sK27,X9)
& ssItem(X9) ) )
& leq(sK25,sK24)
& sK20 = app(app(app(app(sK26,cons(sK24,nil)),sK27),cons(sK25,nil)),X8)
& ssList(X8) )
& ssList(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
( ? [X8] :
( ( ~ leq(sK24,sK25)
| ? [X9] :
( ( ~ leq(X9,sK25)
| ~ leq(sK24,X9) )
& memberP(sK27,X9)
& ssItem(X9) ) )
& leq(sK25,sK24)
& sK20 = app(app(app(app(sK26,cons(sK24,nil)),sK27),cons(sK25,nil)),X8)
& ssList(X8) )
=> ( ( ~ leq(sK24,sK25)
| ? [X9] :
( ( ~ leq(X9,sK25)
| ~ leq(sK24,X9) )
& memberP(sK27,X9)
& ssItem(X9) ) )
& leq(sK25,sK24)
& sK20 = app(app(app(app(sK26,cons(sK24,nil)),sK27),cons(sK25,nil)),sK28)
& ssList(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f266,plain,
( ? [X9] :
( ( ~ leq(X9,sK25)
| ~ leq(sK24,X9) )
& memberP(sK27,X9)
& ssItem(X9) )
=> ( ( ~ leq(sK29,sK25)
| ~ leq(sK24,sK29) )
& memberP(sK27,sK29)
& ssItem(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f224]) ).
fof(f224,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ( ~ leq(X6,X7)
| ? [X11] :
( ( ~ leq(X11,X7)
| ~ leq(X6,X11) )
& memberP(X9,X11)
& ssItem(X11) ) )
& leq(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = X0
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f99,f223]) ).
fof(f223,plain,
! [X3,X2] :
( ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) )
| ~ sP0(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ( ~ leq(X6,X7)
| ? [X11] :
( ( ~ leq(X11,X7)
| ~ leq(X6,X11) )
& memberP(X9,X11)
& ssItem(X11) ) )
& leq(X7,X6)
& app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) = X0
& ssList(X10) )
& ssList(X9) )
& ssList(X8) )
& ssItem(X7) )
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ? [X5] :
( leq(X4,X5)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2
| ~ ssItem(X4) ) )
| ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ( leq(X6,X7)
& ! [X11] :
( ( leq(X11,X7)
& leq(X6,X11) )
| ~ memberP(X9,X11)
| ~ ssItem(X11) ) )
| ~ leq(X7,X6)
| app(app(app(app(X8,cons(X6,nil)),X9),cons(X7,nil)),X10) != X0
| ~ ssList(X10) ) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X10] :
( ? [X11] :
( leq(X10,X11)
& memberP(X3,X11)
& X10 != X11
& ssItem(X11) )
| ~ memberP(X3,X10)
| cons(X10,nil) != X2
| ~ ssItem(X10) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ( leq(X4,X5)
& ! [X9] :
( ( leq(X9,X5)
& leq(X4,X9) )
| ~ memberP(X7,X9)
| ~ ssItem(X9) ) )
| ~ leq(X5,X4)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ ssList(X8) ) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X10] :
( ? [X11] :
( leq(X10,X11)
& memberP(X3,X11)
& X10 != X11
& ssItem(X11) )
| ~ memberP(X3,X10)
| cons(X10,nil) != X2
| ~ ssItem(X10) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ( leq(X4,X5)
& ! [X9] :
( ( leq(X9,X5)
& leq(X4,X9) )
| ~ memberP(X7,X9)
| ~ ssItem(X9) ) )
| ~ leq(X5,X4)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ ssList(X8) ) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',co1) ).
fof(f768,plain,
( ssList(sF78)
| ~ ssList(sK26) ),
inference(subsumption_resolution,[],[f762,f757]) ).
fof(f757,plain,
ssList(sF77),
inference(subsumption_resolution,[],[f756,f417]) ).
fof(f417,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax17) ).
fof(f756,plain,
( ssList(sF77)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f754,f397]) ).
fof(f397,plain,
ssItem(sK24),
inference(cnf_transformation,[],[f267]) ).
fof(f754,plain,
( ssList(sF77)
| ~ ssItem(sK24)
| ~ ssList(nil) ),
inference(superposition,[],[f579,f656]) ).
fof(f656,plain,
cons(sK24,nil) = sF77,
introduced(function_definition,[]) ).
fof(f579,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.YrirEEnErf/Vampire---4.8_1640',ax16) ).
fof(f762,plain,
( ssList(sF78)
| ~ ssList(sF77)
| ~ ssList(sK26) ),
inference(superposition,[],[f589,f657]) ).
fof(f657,plain,
app(sK26,sF77) = sF78,
introduced(function_definition,[]) ).
fof(f589,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.YrirEEnErf/Vampire---4.8_1640',ax26) ).
fof(f15586,plain,
( nil != sF79
| ~ ssList(sF78) ),
inference(subsumption_resolution,[],[f15585,f400]) ).
fof(f400,plain,
ssList(sK27),
inference(cnf_transformation,[],[f267]) ).
fof(f15585,plain,
( nil != sF79
| ~ ssList(sK27)
| ~ ssList(sF78) ),
inference(subsumption_resolution,[],[f1355,f1331]) ).
fof(f1331,plain,
nil != sF78,
inference(subsumption_resolution,[],[f1330,f399]) ).
fof(f1330,plain,
( nil != sF78
| ~ ssList(sK26) ),
inference(subsumption_resolution,[],[f1329,f757]) ).
fof(f1329,plain,
( nil != sF78
| ~ ssList(sF77)
| ~ ssList(sK26) ),
inference(subsumption_resolution,[],[f1324,f777]) ).
fof(f777,plain,
nil != sF77,
inference(subsumption_resolution,[],[f776,f417]) ).
fof(f776,plain,
( nil != sF77
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f774,f397]) ).
fof(f774,plain,
( nil != sF77
| ~ ssItem(sK24)
| ~ ssList(nil) ),
inference(superposition,[],[f580,f656]) ).
fof(f580,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax21) ).
fof(f1324,plain,
( nil != sF78
| nil = sF77
| ~ ssList(sF77)
| ~ ssList(sK26) ),
inference(superposition,[],[f608,f657]) ).
fof(f608,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f382]) ).
fof(f382,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax83) ).
fof(f1355,plain,
( nil != sF79
| nil = sF78
| ~ ssList(sK27)
| ~ ssList(sF78) ),
inference(superposition,[],[f609,f658]) ).
fof(f658,plain,
app(sF78,sK27) = sF79,
introduced(function_definition,[]) ).
fof(f609,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f15391,plain,
( ~ spl83_1
| ~ spl83_9
| spl83_39
| ~ spl83_59 ),
inference(avatar_contradiction_clause,[],[f15390]) ).
fof(f15390,plain,
( $false
| ~ spl83_1
| ~ spl83_9
| spl83_39
| ~ spl83_59 ),
inference(subsumption_resolution,[],[f15389,f759]) ).
fof(f759,plain,
ssList(sF80),
inference(subsumption_resolution,[],[f758,f417]) ).
fof(f758,plain,
( ssList(sF80)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f755,f398]) ).
fof(f398,plain,
ssItem(sK25),
inference(cnf_transformation,[],[f267]) ).
fof(f755,plain,
( ssList(sF80)
| ~ ssItem(sK25)
| ~ ssList(nil) ),
inference(superposition,[],[f579,f659]) ).
fof(f659,plain,
cons(sK25,nil) = sF80,
introduced(function_definition,[]) ).
fof(f15389,plain,
( ~ ssList(sF80)
| ~ spl83_1
| ~ spl83_9
| spl83_39
| ~ spl83_59 ),
inference(subsumption_resolution,[],[f15384,f779]) ).
fof(f779,plain,
nil != sF80,
inference(subsumption_resolution,[],[f778,f417]) ).
fof(f778,plain,
( nil != sF80
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f775,f398]) ).
fof(f775,plain,
( nil != sF80
| ~ ssItem(sK25)
| ~ ssList(nil) ),
inference(superposition,[],[f580,f659]) ).
fof(f15384,plain,
( nil = sF80
| ~ ssList(sF80)
| ~ spl83_1
| ~ spl83_9
| spl83_39
| ~ spl83_59 ),
inference(resolution,[],[f15193,f575]) ).
fof(f575,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax52) ).
fof(f15193,plain,
( rearsegP(nil,sF80)
| ~ spl83_1
| ~ spl83_9
| spl83_39
| ~ spl83_59 ),
inference(forward_demodulation,[],[f15192,f965]) ).
fof(f965,plain,
( nil = tl(sK22)
| ~ spl83_1
| ~ spl83_9 ),
inference(subsumption_resolution,[],[f964,f417]) ).
fof(f964,plain,
( nil = tl(sK22)
| ~ ssList(nil)
| ~ spl83_1
| ~ spl83_9 ),
inference(subsumption_resolution,[],[f958,f894]) ).
fof(f894,plain,
( ssItem(sK19(sK23,sK22))
| ~ spl83_9 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f893,plain,
( spl83_9
<=> ssItem(sK19(sK23,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_9])]) ).
fof(f958,plain,
( nil = tl(sK22)
| ~ ssItem(sK19(sK23,sK22))
| ~ ssList(nil)
| ~ spl83_1 ),
inference(superposition,[],[f582,f879]) ).
fof(f879,plain,
( sK22 = cons(sK19(sK23,sK22),nil)
| ~ spl83_1 ),
inference(resolution,[],[f673,f388]) ).
fof(f388,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| cons(sK19(X0,X1),nil) = X1 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( ( ! [X3] :
( ~ leq(sK19(X0,X1),X3)
| ~ memberP(X0,X3)
| sK19(X0,X1) = X3
| ~ ssItem(X3) )
& memberP(X0,sK19(X0,X1))
& cons(sK19(X0,X1),nil) = X1
& ssItem(sK19(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f253,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ leq(X2,X3)
| ~ memberP(X0,X3)
| X2 = X3
| ~ ssItem(X3) )
& memberP(X0,X2)
& cons(X2,nil) = X1
& ssItem(X2) )
=> ( ! [X3] :
( ~ leq(sK19(X0,X1),X3)
| ~ memberP(X0,X3)
| sK19(X0,X1) = X3
| ~ ssItem(X3) )
& memberP(X0,sK19(X0,X1))
& cons(sK19(X0,X1),nil) = X1
& ssItem(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ leq(X2,X3)
| ~ memberP(X0,X3)
| X2 = X3
| ~ ssItem(X3) )
& memberP(X0,X2)
& cons(X2,nil) = X1
& ssItem(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f252]) ).
fof(f252,plain,
! [X3,X2] :
( ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) )
| ~ sP0(X3,X2) ),
inference(nnf_transformation,[],[f223]) ).
fof(f673,plain,
( sP0(sK23,sK22)
| ~ spl83_1 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f671,plain,
( spl83_1
<=> sP0(sK23,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_1])]) ).
fof(f582,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax25) ).
fof(f15192,plain,
( rearsegP(tl(sK22),sF80)
| spl83_39
| ~ spl83_59 ),
inference(subsumption_resolution,[],[f15191,f771]) ).
fof(f771,plain,
ssList(sF79),
inference(subsumption_resolution,[],[f770,f769]) ).
fof(f770,plain,
( ssList(sF79)
| ~ ssList(sF78) ),
inference(subsumption_resolution,[],[f763,f400]) ).
fof(f763,plain,
( ssList(sF79)
| ~ ssList(sK27)
| ~ ssList(sF78) ),
inference(superposition,[],[f589,f658]) ).
fof(f15191,plain,
( rearsegP(tl(sK22),sF80)
| ~ ssList(sF79)
| spl83_39
| ~ spl83_59 ),
inference(subsumption_resolution,[],[f15190,f1341]) ).
fof(f1341,plain,
( nil != sF79
| spl83_39 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f15190,plain,
( rearsegP(tl(sK22),sF80)
| nil = sF79
| ~ ssList(sF79)
| ~ spl83_59 ),
inference(subsumption_resolution,[],[f15141,f759]) ).
fof(f15141,plain,
( rearsegP(tl(sK22),sF80)
| ~ ssList(sF80)
| nil = sF79
| ~ ssList(sF79)
| ~ spl83_59 ),
inference(superposition,[],[f2696,f14945]) ).
fof(f14945,plain,
( sK22 = app(sF79,sF80)
| ~ spl83_59 ),
inference(backward_demodulation,[],[f660,f1732]) ).
fof(f1732,plain,
( sK22 = sF81
| ~ spl83_59 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f1730,plain,
( spl83_59
<=> sK22 = sF81 ),
introduced(avatar_definition,[new_symbols(naming,[spl83_59])]) ).
fof(f660,plain,
app(sF79,sF80) = sF81,
introduced(function_definition,[]) ).
fof(f2696,plain,
! [X18,X19] :
( rearsegP(tl(app(X18,X19)),X19)
| ~ ssList(X19)
| nil = X18
| ~ ssList(X18) ),
inference(subsumption_resolution,[],[f2675,f485]) ).
fof(f485,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax24) ).
fof(f2675,plain,
! [X18,X19] :
( rearsegP(tl(app(X18,X19)),X19)
| ~ ssList(tl(X18))
| ~ ssList(X19)
| nil = X18
| ~ ssList(X18) ),
inference(duplicate_literal_removal,[],[f2672]) ).
fof(f2672,plain,
! [X18,X19] :
( rearsegP(tl(app(X18,X19)),X19)
| ~ ssList(tl(X18))
| ~ ssList(X19)
| nil = X18
| ~ ssList(X19)
| ~ ssList(X18) ),
inference(superposition,[],[f708,f591]) ).
fof(f591,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax86) ).
fof(f708,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f651,f589]) ).
fof(f651,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f600]) ).
fof(f600,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK71(X0,X1),X1) = X0
& ssList(sK71(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71])],[f370,f371]) ).
fof(f371,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK71(X0,X1),X1) = X0
& ssList(sK71(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax6) ).
fof(f14899,plain,
( spl83_59
| ~ spl83_1
| ~ spl83_9
| ~ spl83_475 ),
inference(avatar_split_clause,[],[f14898,f14336,f893,f671,f1730]) ).
fof(f14336,plain,
( spl83_475
<=> ssList(sF81) ),
introduced(avatar_definition,[new_symbols(naming,[spl83_475])]) ).
fof(f14898,plain,
( sK22 = sF81
| ~ spl83_1
| ~ spl83_9
| ~ spl83_475 ),
inference(subsumption_resolution,[],[f14739,f14337]) ).
fof(f14337,plain,
( ssList(sF81)
| ~ spl83_475 ),
inference(avatar_component_clause,[],[f14336]) ).
fof(f14739,plain,
( sK22 = sF81
| ~ ssList(sF81)
| ~ spl83_1
| ~ spl83_9
| ~ spl83_475 ),
inference(superposition,[],[f14713,f479]) ).
fof(f479,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.YrirEEnErf/Vampire---4.8_1640',ax84) ).
fof(f14713,plain,
( sK22 = app(sF81,nil)
| ~ spl83_1
| ~ spl83_9
| ~ spl83_475 ),
inference(backward_demodulation,[],[f707,f14711]) ).
fof(f14711,plain,
( nil = sK28
| ~ spl83_1
| ~ spl83_9
| ~ spl83_475 ),
inference(subsumption_resolution,[],[f14706,f401]) ).
fof(f401,plain,
ssList(sK28),
inference(cnf_transformation,[],[f267]) ).
fof(f14706,plain,
( nil = sK28
| ~ ssList(sK28)
| ~ spl83_1
| ~ spl83_9
| ~ spl83_475 ),
inference(resolution,[],[f14521,f575]) ).
fof(f14521,plain,
( rearsegP(nil,sK28)
| ~ spl83_1
| ~ spl83_9
| ~ spl83_475 ),
inference(forward_demodulation,[],[f14520,f965]) ).
fof(f14520,plain,
( rearsegP(tl(sK22),sK28)
| ~ spl83_475 ),
inference(subsumption_resolution,[],[f14519,f14337]) ).
fof(f14519,plain,
( rearsegP(tl(sK22),sK28)
| ~ ssList(sF81) ),
inference(subsumption_resolution,[],[f14518,f1345]) ).
fof(f1345,plain,
nil != sF81,
inference(subsumption_resolution,[],[f1344,f771]) ).
fof(f1344,plain,
( nil != sF81
| ~ ssList(sF79) ),
inference(subsumption_resolution,[],[f1343,f759]) ).
fof(f1343,plain,
( nil != sF81
| ~ ssList(sF80)
| ~ ssList(sF79) ),
inference(subsumption_resolution,[],[f1326,f779]) ).
fof(f1326,plain,
( nil != sF81
| nil = sF80
| ~ ssList(sF80)
| ~ ssList(sF79) ),
inference(superposition,[],[f608,f660]) ).
fof(f14518,plain,
( rearsegP(tl(sK22),sK28)
| nil = sF81
| ~ ssList(sF81) ),
inference(subsumption_resolution,[],[f14507,f401]) ).
fof(f14507,plain,
( rearsegP(tl(sK22),sK28)
| ~ ssList(sK28)
| nil = sF81
| ~ ssList(sF81) ),
inference(superposition,[],[f2696,f707]) ).
fof(f707,plain,
sK22 = app(sF81,sK28),
inference(backward_demodulation,[],[f661,f662]) ).
fof(f662,plain,
sK22 = sF82,
inference(definition_folding,[],[f626,f661,f660,f659,f658,f657,f656]) ).
fof(f626,plain,
sK22 = app(app(app(app(sK26,cons(sK24,nil)),sK27),cons(sK25,nil)),sK28),
inference(definition_unfolding,[],[f402,f396]) ).
fof(f396,plain,
sK20 = sK22,
inference(cnf_transformation,[],[f267]) ).
fof(f402,plain,
sK20 = app(app(app(app(sK26,cons(sK24,nil)),sK27),cons(sK25,nil)),sK28),
inference(cnf_transformation,[],[f267]) ).
fof(f661,plain,
app(sF81,sK28) = sF82,
introduced(function_definition,[]) ).
fof(f14465,plain,
spl83_475,
inference(avatar_split_clause,[],[f773,f14336]) ).
fof(f773,plain,
ssList(sF81),
inference(subsumption_resolution,[],[f772,f771]) ).
fof(f772,plain,
( ssList(sF81)
| ~ ssList(sF79) ),
inference(subsumption_resolution,[],[f764,f759]) ).
fof(f764,plain,
( ssList(sF81)
| ~ ssList(sF80)
| ~ ssList(sF79) ),
inference(superposition,[],[f589,f660]) ).
fof(f939,plain,
( ~ spl83_1
| spl83_9 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f938,plain,
( $false
| ~ spl83_1
| spl83_9 ),
inference(subsumption_resolution,[],[f937,f673]) ).
fof(f937,plain,
( ~ sP0(sK23,sK22)
| spl83_9 ),
inference(resolution,[],[f895,f387]) ).
fof(f387,plain,
! [X0,X1] :
( ssItem(sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f895,plain,
( ~ ssItem(sK19(sK23,sK22))
| spl83_9 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f858,plain,
~ spl83_2,
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f857,plain,
( $false
| ~ spl83_2 ),
inference(subsumption_resolution,[],[f856,f759]) ).
fof(f856,plain,
( ~ ssList(sF80)
| ~ spl83_2 ),
inference(subsumption_resolution,[],[f855,f779]) ).
fof(f855,plain,
( nil = sF80
| ~ ssList(sF80)
| ~ spl83_2 ),
inference(resolution,[],[f834,f575]) ).
fof(f834,plain,
( rearsegP(nil,sF80)
| ~ spl83_2 ),
inference(backward_demodulation,[],[f801,f830]) ).
fof(f830,plain,
( nil = sF81
| ~ spl83_2 ),
inference(subsumption_resolution,[],[f825,f773]) ).
fof(f825,plain,
( nil = sF81
| ~ ssList(sF81)
| ~ spl83_2 ),
inference(superposition,[],[f823,f479]) ).
fof(f823,plain,
( nil = app(sF81,nil)
| ~ spl83_2 ),
inference(backward_demodulation,[],[f712,f821]) ).
fof(f821,plain,
( nil = sK28
| ~ spl83_2 ),
inference(subsumption_resolution,[],[f820,f401]) ).
fof(f820,plain,
( nil = sK28
| ~ ssList(sK28)
| ~ spl83_2 ),
inference(resolution,[],[f803,f575]) ).
fof(f803,plain,
( rearsegP(nil,sK28)
| ~ spl83_2 ),
inference(subsumption_resolution,[],[f802,f401]) ).
fof(f802,plain,
( rearsegP(nil,sK28)
| ~ ssList(sK28)
| ~ spl83_2 ),
inference(subsumption_resolution,[],[f793,f773]) ).
fof(f793,plain,
( rearsegP(nil,sK28)
| ~ ssList(sF81)
| ~ ssList(sK28)
| ~ spl83_2 ),
inference(superposition,[],[f708,f712]) ).
fof(f712,plain,
( nil = app(sF81,sK28)
| ~ spl83_2 ),
inference(backward_demodulation,[],[f707,f677]) ).
fof(f677,plain,
( nil = sK22
| ~ spl83_2 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f675,plain,
( spl83_2
<=> nil = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl83_2])]) ).
fof(f801,plain,
rearsegP(sF81,sF80),
inference(subsumption_resolution,[],[f800,f759]) ).
fof(f800,plain,
( rearsegP(sF81,sF80)
| ~ ssList(sF80) ),
inference(subsumption_resolution,[],[f792,f771]) ).
fof(f792,plain,
( rearsegP(sF81,sF80)
| ~ ssList(sF79)
| ~ ssList(sF80) ),
inference(superposition,[],[f708,f660]) ).
fof(f678,plain,
( spl83_1
| spl83_2 ),
inference(avatar_split_clause,[],[f408,f675,f671]) ).
fof(f408,plain,
( nil = sK22
| sP0(sK23,sK22) ),
inference(cnf_transformation,[],[f267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC152+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 15:57:47 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.YrirEEnErf/Vampire---4.8_1640
% 0.14/0.36 % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (1770)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)
% 0.21/0.42 % (1768)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.42 % (1764)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)
% 0.21/0.42 % (1769)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)
% 0.21/0.42 % (1771)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.21/0.42 % (1767)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)
% 0.21/0.42 % (1765)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 1.51/0.67 % (1768)First to succeed.
% 1.51/0.67 % (1768)Refutation found. Thanks to Tanya!
% 1.51/0.67 % SZS status Theorem for Vampire---4
% 1.51/0.67 % SZS output start Proof for Vampire---4
% See solution above
% 1.51/0.67 % (1768)------------------------------
% 1.51/0.67 % (1768)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.51/0.67 % (1768)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.51/0.67 % (1768)Termination reason: Refutation
% 1.51/0.67
% 1.51/0.67 % (1768)Memory used [KB]: 13560
% 1.51/0.67 % (1768)Time elapsed: 0.246 s
% 1.51/0.67 % (1768)------------------------------
% 1.51/0.67 % (1768)------------------------------
% 1.51/0.67 % (1762)Success in time 0.309 s
% 1.51/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------