%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC281+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:16 PM UTC 2026
% Result : Theorem 11.57s 2.36s
% Output : Refutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 31
% Syntax : Number of formulae : 230 ( 43 unt; 22 def)
% Number of atoms : 1072 ( 81 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 1560 ( 718 ~; 666 |; 108 &)
% ( 29 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 23 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 292 ( 0 sgn 248 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
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/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( app(X2,X4) != X3
| ~ totalorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& leq(X7,X5) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( app(app(X10,cons(X9,nil)),X11) != X0
| ! [X12] :
( ssItem(X12)
=> ( ( ~ memberP(X10,X12)
| leq(X12,X9) )
& ( ~ memberP(X11,X12)
| leq(X9,X12) ) ) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( app(X2,X4) != X3
| ~ totalorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& leq(X7,X5) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( app(app(X10,cons(X9,nil)),X11) != X0
| ! [X12] :
( ssItem(X12)
=> ( ( ~ memberP(X10,X12)
| leq(X12,X9) )
& ( ~ memberP(X11,X12)
| leq(X9,X12) ) ) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( app(X2,X4) = X3
& totalorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2
| ~ leq(X7,X5) ) ) ) )
& ssList(X4) )
& ? [X9] :
( ? [X10] :
( ? [X11] :
( app(app(X10,cons(X9,nil)),X11) = X0
& ? [X12] :
( ( ( memberP(X10,X12)
& ~ leq(X12,X9) )
| ( memberP(X11,X12)
& ~ leq(X9,X12) ) )
& ssItem(X12) )
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
& ( nil = X3
| nil != X2 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( app(X2,X4) = X3
& totalorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2
| ~ leq(X7,X5) ) ) ) )
& ssList(X4) )
& ? [X9] :
( ? [X10] :
( ? [X11] :
( app(app(X10,cons(X9,nil)),X11) = X0
& ? [X12] :
( ( ( memberP(X10,X12)
& ~ leq(X12,X9) )
| ( memberP(X11,X12)
& ~ leq(X9,X12) ) )
& ssItem(X12) )
& ssList(X11) )
& ssList(X10) )
& ssItem(X9) )
& ( nil = X3
| nil != X2 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,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(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f130,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
( sK1 = sK3
& sK0 = sK2
& sK3 = app(sK2,sK4)
& totalorderedP(sK2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != sK4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK2
| ~ leq(X7,X5) ) ) ) )
& ssList(sK4)
& sK0 = app(app(sK6,cons(sK5,nil)),sK7)
& ( ( memberP(sK6,sK8)
& ~ leq(sK8,sK5) )
| ( memberP(sK7,sK8)
& ~ leq(sK5,sK8) ) )
& ssItem(sK8)
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ( nil = sK3
| nil != sK2 )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X9,sK5),skolemize(X10,sK6),skolemize(X11,sK7),skolemize(X12,sK8)],[f99]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,cons(X1,X5)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK13(X0,X1))
& ssList(sK14(X0,X1))
& app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f141]) ).
fof(f145,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f130]) ).
fof(f146,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& ssList(sK19(X0))
& ssList(sK18(X0))
& ssList(sK17(X0))
& ssItem(sK16(X0))
& ssItem(sK15(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X3,sK17(X0)),skolemize(X4,sK18(X0)),skolemize(X5,sK19(X0))],[f146]) ).
fof(f148,plain,
ssList(sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f153,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f131]) ).
fof(f154,plain,
ssList(sK6),
inference(cnf_transformation,[],[f131]) ).
fof(f155,plain,
ssList(sK7),
inference(cnf_transformation,[],[f131]) ).
fof(f156,plain,
ssItem(sK8),
inference(cnf_transformation,[],[f131]) ).
fof(f157,plain,
( ~ leq(sK8,sK5)
| ~ leq(sK5,sK8) ),
inference(cnf_transformation,[],[f131]) ).
fof(f158,plain,
( ~ leq(sK8,sK5)
| memberP(sK7,sK8) ),
inference(cnf_transformation,[],[f131]) ).
fof(f159,plain,
( memberP(sK6,sK8)
| ~ leq(sK5,sK8) ),
inference(cnf_transformation,[],[f131]) ).
fof(f160,plain,
( memberP(sK6,sK8)
| memberP(sK7,sK8) ),
inference(cnf_transformation,[],[f131]) ).
fof(f161,plain,
sK0 = app(app(sK6,cons(sK5,nil)),sK7),
inference(cnf_transformation,[],[f131]) ).
fof(f164,plain,
totalorderedP(sK2),
inference(cnf_transformation,[],[f131]) ).
fof(f166,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f131]) ).
fof(f178,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f183,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f184,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f189,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f190,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f197,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f198,plain,
! [X0,X1] :
( app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f199,plain,
! [X0,X1] :
( ssList(sK14(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f200,plain,
! [X0,X1] :
( ssList(sK13(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f201,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f212,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f220,plain,
sK2 = app(app(sK6,cons(sK5,nil)),sK7),
inference(definition_unfolding,[],[f161,f166]) ).
fof(f222,plain,
ssList(sK2),
inference(definition_unfolding,[],[f148,f166]) ).
fof(f226,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f201]) ).
fof(f229,plain,
! [X10,X8,X6,X9,X7] :
( leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ totalorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f212]) ).
fof(f237,definition,
( spl22_1
<=> sK2 = app(app(sK6,cons(sK5,nil)),sK7) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f239,plain,
( sK2 = app(app(sK6,cons(sK5,nil)),sK7)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,plain,
spl22_1,
inference(avatar_split_clause,[],[f220,f237]) ).
fof(f262,plain,
( sK2 = app(sK6,app(cons(sK5,nil),sK7))
| ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| ~ ssList(sK6)
| ~ spl22_1 ),
inference(superposition,[],[f183,f239]) ).
fof(f263,plain,
( sK2 = app(sK6,app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(sK6)
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f262,f155]) ).
fof(f276,plain,
( sK2 = app(sK6,app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f263,f154]) ).
fof(f279,definition,
( spl22_2
<=> ssItem(sK5) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f281,plain,
( ssItem(sK5)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
spl22_2,
inference(avatar_split_clause,[],[f153,f279]) ).
fof(f301,plain,
( ! [X0] :
( ssList(sK14(X0,sK5))
| ~ memberP(X0,sK5)
| ~ ssList(X0) )
| ~ spl22_2 ),
inference(resolution,[],[f281,f199]) ).
fof(f302,plain,
( ! [X0] :
( ssList(sK13(X0,sK5))
| ~ memberP(X0,sK5)
| ~ ssList(X0) )
| ~ spl22_2 ),
inference(resolution,[],[f281,f200]) ).
fof(f320,definition,
( spl22_3
<=> leq(sK5,sK8) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f321,plain,
( leq(sK5,sK8)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f322,plain,
( ~ leq(sK5,sK8)
| spl22_3 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f324,definition,
( spl22_4
<=> leq(sK8,sK5) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f325,plain,
( leq(sK8,sK5)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f326,plain,
( ~ leq(sK8,sK5)
| spl22_4 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f327,plain,
( ~ spl22_3
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f157,f324,f320]) ).
fof(f328,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK8)
| ~ ssItem(sK5)
| ~ totalorderedP(app(app(X2,cons(sK5,X1)),cons(sK8,X0)))
| ~ ssList(app(app(X2,cons(sK5,X1)),cons(sK8,X0))) )
| spl22_3 ),
inference(resolution,[],[f322,f229]) ).
fof(f331,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK5)
| ~ totalorderedP(app(app(X2,cons(sK5,X1)),cons(sK8,X0)))
| ~ ssList(app(app(X2,cons(sK5,X1)),cons(sK8,X0))) )
| spl22_3 ),
inference(forward_subsumption_resolution,[],[f328,f156]) ).
fof(f333,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(app(app(X2,cons(sK5,X1)),cons(sK8,X0)))
| ~ ssList(app(app(X2,cons(sK5,X1)),cons(sK8,X0))) )
| ~ spl22_2
| spl22_3 ),
inference(forward_subsumption_resolution,[],[f331,f281]) ).
fof(f413,definition,
( spl22_7
<=> ssItem(sK8) ),
introduced(definition,[new_symbols(definition,[spl22_7])],[avatar_definition]) ).
fof(f415,plain,
( ssItem(sK8)
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,plain,
spl22_7,
inference(avatar_split_clause,[],[f156,f413]) ).
fof(f423,plain,
( ! [X0] :
( ssList(cons(sK8,X0))
| ~ ssList(X0) )
| ~ spl22_7 ),
inference(resolution,[],[f415,f178]) ).
fof(f435,plain,
( ! [X0] :
( ssList(sK14(X0,sK8))
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7 ),
inference(resolution,[],[f415,f199]) ).
fof(f436,plain,
( ! [X0] :
( ssList(sK13(X0,sK8))
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7 ),
inference(resolution,[],[f415,f200]) ).
fof(f493,definition,
( spl22_9
<=> ssList(sK2) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f495,plain,
( ssList(sK2)
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f496,plain,
spl22_9,
inference(avatar_split_clause,[],[f222,f493]) ).
fof(f556,definition,
( spl22_10
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(app(app(X2,cons(sK5,X1)),cons(sK8,X0)))
| ~ ssList(app(app(X2,cons(sK5,X1)),cons(sK8,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f557,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(app(X2,cons(sK5,X1)),cons(sK8,X0)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X2,cons(sK5,X1)),cons(sK8,X0))) )
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( spl22_10
| ~ spl22_2
| spl22_3 ),
inference(avatar_split_clause,[],[f333,f320,f279,f556]) ).
fof(f559,plain,
( memberP(sK6,sK8)
| ~ spl22_3 ),
inference(backward_subsumption_resolution,[],[f159,f321]) ).
fof(f561,definition,
( spl22_11
<=> memberP(sK6,sK8) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f563,plain,
( memberP(sK6,sK8)
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f564,plain,
( spl22_11
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f559,f320,f561]) ).
fof(f565,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK5)
| ~ ssItem(sK8)
| ~ totalorderedP(app(app(X2,cons(sK8,X1)),cons(sK5,X0)))
| ~ ssList(app(app(X2,cons(sK8,X1)),cons(sK5,X0))) )
| spl22_4 ),
inference(resolution,[],[f326,f229]) ).
fof(f568,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK8)
| ~ totalorderedP(app(app(X2,cons(sK8,X1)),cons(sK5,X0)))
| ~ ssList(app(app(X2,cons(sK8,X1)),cons(sK5,X0))) )
| ~ spl22_2
| spl22_4 ),
inference(forward_subsumption_resolution,[],[f565,f281]) ).
fof(f570,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(app(app(X2,cons(sK8,X1)),cons(sK5,X0)))
| ~ ssList(app(app(X2,cons(sK8,X1)),cons(sK5,X0))) )
| ~ spl22_2
| spl22_4
| ~ spl22_7 ),
inference(forward_subsumption_resolution,[],[f568,f415]) ).
fof(f572,definition,
( spl22_12
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(app(app(X2,cons(sK8,X1)),cons(sK5,X0)))
| ~ ssList(app(app(X2,cons(sK8,X1)),cons(sK5,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f573,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(app(X2,cons(sK8,X1)),cons(sK5,X0)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X2,cons(sK8,X1)),cons(sK5,X0))) )
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f574,plain,
( spl22_12
| ~ spl22_2
| spl22_4
| ~ spl22_7 ),
inference(avatar_split_clause,[],[f570,f413,f324,f279,f572]) ).
fof(f584,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK5,X1)))
| ~ ssList(sK14(X0,sK8))
| ~ ssList(sK13(X0,sK8))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK5,X1)))
| ~ memberP(X0,sK8)
| ~ ssItem(sK8)
| ~ ssList(X0) )
| ~ spl22_12 ),
inference(superposition,[],[f573,f198]) ).
fof(f604,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK5,X1)))
| ~ ssList(sK14(X0,sK8))
| ~ ssList(sK13(X0,sK8))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK5,X1)))
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f584,f415]) ).
fof(f610,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK5,X1)))
| ~ ssList(sK13(X0,sK8))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK5,X1)))
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f604,f435]) ).
fof(f612,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK5,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK5,X1)))
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7
| ~ spl22_12 ),
inference(forward_subsumption_resolution,[],[f610,f436]) ).
fof(f614,definition,
( spl22_13
<=> ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK5,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK5,X1)))
| ~ memberP(X0,sK8)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_13])],[avatar_definition]) ).
fof(f615,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK5,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK5,X1)))
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f616,plain,
( spl22_13
| ~ spl22_7
| ~ spl22_12 ),
inference(avatar_split_clause,[],[f612,f572,f413,f614]) ).
fof(f668,definition,
( spl22_14
<=> ssList(sK7) ),
introduced(definition,[new_symbols(definition,[spl22_14])],[avatar_definition]) ).
fof(f670,plain,
( ssList(sK7)
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f671,plain,
spl22_14,
inference(avatar_split_clause,[],[f155,f668]) ).
fof(f734,definition,
( spl22_16
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_16])],[avatar_definition]) ).
fof(f735,plain,
( ssList(cons(sK5,nil))
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f736,plain,
( ~ ssList(cons(sK5,nil))
| spl22_16 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f738,definition,
( spl22_17
<=> sK2 = app(sK6,app(cons(sK5,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl22_17])],[avatar_definition]) ).
fof(f740,plain,
( sK2 = app(sK6,app(cons(sK5,nil),sK7))
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f741,plain,
( ~ spl22_16
| spl22_17
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f276,f237,f738,f734]) ).
fof(f742,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl22_16 ),
inference(resolution,[],[f736,f178]) ).
fof(f759,plain,
( ~ ssList(nil)
| ~ spl22_2
| spl22_16 ),
inference(forward_subsumption_resolution,[],[f742,f281]) ).
fof(f760,plain,
( $false
| ~ spl22_2
| spl22_16 ),
inference(forward_subsumption_resolution,[],[f759,f190]) ).
fof(f761,plain,
( ~ spl22_2
| spl22_16 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f770,plain,
( sK2 = app(sK6,cons(sK5,sK7))
| ~ ssItem(sK5)
| ~ ssList(sK7)
| ~ spl22_17 ),
inference(superposition,[],[f740,f184]) ).
fof(f794,plain,
( sK2 = app(sK6,cons(sK5,sK7))
| ~ ssList(sK7)
| ~ spl22_2
| ~ spl22_17 ),
inference(forward_subsumption_resolution,[],[f770,f281]) ).
fof(f795,plain,
( sK2 = app(sK6,cons(sK5,sK7))
| ~ spl22_2
| ~ spl22_14
| ~ spl22_17 ),
inference(forward_subsumption_resolution,[],[f794,f670]) ).
fof(f797,definition,
( spl22_18
<=> sK2 = app(sK6,cons(sK5,sK7)) ),
introduced(definition,[new_symbols(definition,[spl22_18])],[avatar_definition]) ).
fof(f799,plain,
( sK2 = app(sK6,cons(sK5,sK7))
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f800,plain,
( spl22_18
| ~ spl22_2
| ~ spl22_14
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f795,f738,f668,f279,f797]) ).
fof(f802,definition,
( spl22_19
<=> totalorderedP(sK2) ),
introduced(definition,[new_symbols(definition,[spl22_19])],[avatar_definition]) ).
fof(f804,plain,
( totalorderedP(sK2)
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f805,plain,
spl22_19,
inference(avatar_split_clause,[],[f164,f802]) ).
fof(f806,plain,
( ~ totalorderedP(sK2)
| ~ ssList(sK7)
| ~ ssList(sK2)
| ~ memberP(sK6,sK8)
| ~ ssList(sK6)
| ~ spl22_13
| ~ spl22_18 ),
inference(superposition,[],[f615,f799]) ).
fof(f838,plain,
( ~ ssList(sK7)
| ~ ssList(sK2)
| ~ memberP(sK6,sK8)
| ~ ssList(sK6)
| ~ spl22_13
| ~ spl22_18
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f806,f804]) ).
fof(f843,plain,
( ~ ssList(sK2)
| ~ memberP(sK6,sK8)
| ~ ssList(sK6)
| ~ spl22_13
| ~ spl22_14
| ~ spl22_18
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f838,f670]) ).
fof(f848,plain,
( ~ memberP(sK6,sK8)
| ~ ssList(sK6)
| ~ spl22_9
| ~ spl22_13
| ~ spl22_14
| ~ spl22_18
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f843,f495]) ).
fof(f851,plain,
( ~ ssList(sK6)
| ~ spl22_9
| ~ spl22_11
| ~ spl22_13
| ~ spl22_14
| ~ spl22_18
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f848,f563]) ).
fof(f852,plain,
( $false
| ~ spl22_9
| ~ spl22_11
| ~ spl22_13
| ~ spl22_14
| ~ spl22_18
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f851,f154]) ).
fof(f853,plain,
( ~ spl22_9
| ~ spl22_11
| ~ spl22_13
| ~ spl22_14
| ~ spl22_18
| ~ spl22_19 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f854,plain,
( memberP(sK7,sK8)
| ~ spl22_4 ),
inference(backward_subsumption_resolution,[],[f158,f325]) ).
fof(f860,definition,
( spl22_20
<=> memberP(sK7,sK8) ),
introduced(definition,[new_symbols(definition,[spl22_20])],[avatar_definition]) ).
fof(f862,plain,
( memberP(sK7,sK8)
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f863,plain,
( spl22_20
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f854,f324,f860]) ).
fof(f873,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK8,X1)))
| ~ ssList(sK14(X0,sK5))
| ~ ssList(sK13(X0,sK5))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK8,X1)))
| ~ memberP(X0,sK5)
| ~ ssItem(sK5)
| ~ ssList(X0) )
| ~ spl22_10 ),
inference(superposition,[],[f557,f198]) ).
fof(f895,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK8,X1)))
| ~ ssList(sK14(X0,sK5))
| ~ ssList(sK13(X0,sK5))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK8,X1)))
| ~ memberP(X0,sK5)
| ~ ssList(X0) )
| ~ spl22_2
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f873,f281]) ).
fof(f902,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK8,X1)))
| ~ ssList(sK13(X0,sK5))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK8,X1)))
| ~ memberP(X0,sK5)
| ~ ssList(X0) )
| ~ spl22_2
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f895,f301]) ).
fof(f904,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK8,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK8,X1)))
| ~ memberP(X0,sK5)
| ~ ssList(X0) )
| ~ spl22_2
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f902,f302]) ).
fof(f924,definition,
( spl22_21
<=> ssList(sK6) ),
introduced(definition,[new_symbols(definition,[spl22_21])],[avatar_definition]) ).
fof(f926,plain,
( ssList(sK6)
| ~ spl22_21 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f927,plain,
spl22_21,
inference(avatar_split_clause,[],[f154,f924]) ).
fof(f987,definition,
( spl22_22
<=> ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK8,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK8,X1)))
| ~ memberP(X0,sK5)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_22])],[avatar_definition]) ).
fof(f988,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK8,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK8,X1)))
| ~ memberP(X0,sK5)
| ~ ssList(X0) )
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f989,plain,
( spl22_22
| ~ spl22_2
| ~ spl22_10 ),
inference(avatar_split_clause,[],[f904,f556,f279,f987]) ).
fof(f1085,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK8,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK8,X2))))
| ~ memberP(app(X0,X1),sK5)
| ~ ssList(app(X0,X1))
| ~ ssList(cons(sK8,X2))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl22_22 ),
inference(superposition,[],[f988,f183]) ).
fof(f1096,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK8,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK8,X2))))
| ~ memberP(app(X0,X1),sK5)
| ~ ssList(cons(sK8,X2))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl22_22 ),
inference(forward_subsumption_resolution,[],[f1085,f189]) ).
fof(f1100,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK8,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK8,X2))))
| ~ memberP(app(X0,X1),sK5)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl22_7
| ~ spl22_22 ),
inference(forward_subsumption_resolution,[],[f1096,f423]) ).
fof(f1111,plain,
( spl22_20
| spl22_11 ),
inference(avatar_split_clause,[],[f160,f561,f860]) ).
fof(f1588,definition,
( spl22_39
<=> ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK8,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK8,X2))))
| ~ memberP(app(X0,X1),sK5)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_39])],[avatar_definition]) ).
fof(f1589,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK8,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK8,X2))))
| ~ memberP(app(X0,X1),sK5)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl22_39 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f1590,plain,
( spl22_39
| ~ spl22_7
| ~ spl22_22 ),
inference(avatar_split_clause,[],[f1100,f987,f413,f1588]) ).
fof(f2816,definition,
( spl22_76
<=> ssList(app(sK6,cons(sK5,nil))) ),
introduced(definition,[new_symbols(definition,[spl22_76])],[avatar_definition]) ).
fof(f2817,plain,
( ssList(app(sK6,cons(sK5,nil)))
| ~ spl22_76 ),
inference(avatar_component_clause,[],[f2816]) ).
fof(f2818,plain,
( ~ ssList(app(sK6,cons(sK5,nil)))
| spl22_76 ),
inference(avatar_component_clause,[],[f2816]) ).
fof(f2823,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(sK6)
| spl22_76 ),
inference(resolution,[],[f2818,f189]) ).
fof(f2832,plain,
( ~ ssList(sK6)
| ~ spl22_16
| spl22_76 ),
inference(forward_subsumption_resolution,[],[f2823,f735]) ).
fof(f2833,plain,
( $false
| ~ spl22_16
| ~ spl22_21
| spl22_76 ),
inference(forward_subsumption_resolution,[],[f2832,f926]) ).
fof(f2834,plain,
( ~ spl22_16
| ~ spl22_21
| spl22_76 ),
inference(avatar_contradiction_clause,[],[f2833]) ).
fof(f2848,plain,
( memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ spl22_76 ),
inference(resolution,[],[f2817,f226]) ).
fof(f2914,plain,
( memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ ssList(nil)
| ~ ssItem(sK5)
| ~ spl22_21
| ~ spl22_76 ),
inference(forward_subsumption_resolution,[],[f2848,f926]) ).
fof(f2915,plain,
( memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ ssItem(sK5)
| ~ spl22_21
| ~ spl22_76 ),
inference(forward_subsumption_resolution,[],[f2914,f190]) ).
fof(f2916,plain,
( memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ spl22_2
| ~ spl22_21
| ~ spl22_76 ),
inference(forward_subsumption_resolution,[],[f2915,f281]) ).
fof(f4270,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssList(sK14(X0,sK8))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK13(X0,sK8)),sK5)
| ~ ssList(sK13(X0,sK8))
| ~ ssList(X1)
| ~ memberP(X0,sK8)
| ~ ssItem(sK8)
| ~ ssList(X0) )
| ~ spl22_39 ),
inference(superposition,[],[f1589,f198]) ).
fof(f4292,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssList(sK14(X0,sK8))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK13(X0,sK8)),sK5)
| ~ ssList(sK13(X0,sK8))
| ~ ssList(X1)
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7
| ~ spl22_39 ),
inference(forward_subsumption_resolution,[],[f4270,f415]) ).
fof(f4298,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK13(X0,sK8)),sK5)
| ~ ssList(sK13(X0,sK8))
| ~ ssList(X1)
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7
| ~ spl22_39 ),
inference(forward_subsumption_resolution,[],[f4292,f435]) ).
fof(f4303,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ memberP(app(X1,sK13(X0,sK8)),sK5)
| ~ ssList(sK13(X0,sK8))
| ~ ssList(X1)
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7
| ~ spl22_39 ),
inference(forward_subsumption_resolution,[],[f4298,f189]) ).
fof(f4306,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ memberP(app(X1,sK13(X0,sK8)),sK5)
| ~ ssList(X1)
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_7
| ~ spl22_39 ),
inference(forward_subsumption_resolution,[],[f4303,f436]) ).
fof(f4308,definition,
( spl22_113
<=> ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ memberP(app(X1,sK13(X0,sK8)),sK5)
| ~ ssList(X1)
| ~ memberP(X0,sK8)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_113])],[avatar_definition]) ).
fof(f4309,plain,
( ! [X0,X1] :
( ~ memberP(app(X1,sK13(X0,sK8)),sK5)
| ~ totalorderedP(app(X1,X0))
| ~ ssList(X1)
| ~ memberP(X0,sK8)
| ~ ssList(X0) )
| ~ spl22_113 ),
inference(avatar_component_clause,[],[f4308]) ).
fof(f4310,plain,
( spl22_113
| ~ spl22_7
| ~ spl22_39 ),
inference(avatar_split_clause,[],[f4306,f1588,f413,f4308]) ).
fof(f4312,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK8)
| ~ ssList(X1)
| ~ memberP(X0,sK5)
| ~ ssList(sK13(X1,sK8))
| ~ ssList(X0)
| ~ ssItem(sK5) )
| ~ spl22_113 ),
inference(resolution,[],[f4309,f197]) ).
fof(f4319,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK8)
| ~ ssList(X1)
| ~ memberP(X0,sK5)
| ~ ssList(sK13(X1,sK8))
| ~ ssItem(sK5) )
| ~ spl22_113 ),
inference(duplicate_literal_removal,[],[f4312]) ).
fof(f4327,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK8)
| ~ ssList(X1)
| ~ memberP(X0,sK5)
| ~ ssList(sK13(X1,sK8)) )
| ~ spl22_2
| ~ spl22_113 ),
inference(forward_subsumption_resolution,[],[f4319,f281]) ).
fof(f4331,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK8)
| ~ ssList(X1)
| ~ memberP(X0,sK5) )
| ~ spl22_2
| ~ spl22_7
| ~ spl22_113 ),
inference(forward_subsumption_resolution,[],[f4327,f436]) ).
fof(f4334,definition,
( spl22_114
<=> ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK8)
| ~ ssList(X1)
| ~ memberP(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl22_114])],[avatar_definition]) ).
fof(f4335,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK8)
| ~ ssList(X1)
| ~ memberP(X0,sK5) )
| ~ spl22_114 ),
inference(avatar_component_clause,[],[f4334]) ).
fof(f4336,plain,
( spl22_114
| ~ spl22_2
| ~ spl22_7
| ~ spl22_113 ),
inference(avatar_split_clause,[],[f4331,f4308,f413,f279,f4334]) ).
fof(f4358,plain,
( ~ totalorderedP(sK2)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ memberP(sK7,sK8)
| ~ ssList(sK7)
| ~ memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ spl22_1
| ~ spl22_114 ),
inference(superposition,[],[f4335,f239]) ).
fof(f4370,plain,
( ~ ssList(app(sK6,cons(sK5,nil)))
| ~ memberP(sK7,sK8)
| ~ ssList(sK7)
| ~ memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ spl22_1
| ~ spl22_19
| ~ spl22_114 ),
inference(forward_subsumption_resolution,[],[f4358,f804]) ).
fof(f4388,plain,
( ~ memberP(sK7,sK8)
| ~ ssList(sK7)
| ~ memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ spl22_1
| ~ spl22_19
| ~ spl22_76
| ~ spl22_114 ),
inference(forward_subsumption_resolution,[],[f4370,f2817]) ).
fof(f4396,plain,
( ~ ssList(sK7)
| ~ memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ spl22_1
| ~ spl22_19
| ~ spl22_20
| ~ spl22_76
| ~ spl22_114 ),
inference(forward_subsumption_resolution,[],[f4388,f862]) ).
fof(f4401,plain,
( ~ memberP(app(sK6,cons(sK5,nil)),sK5)
| ~ spl22_1
| ~ spl22_14
| ~ spl22_19
| ~ spl22_20
| ~ spl22_76
| ~ spl22_114 ),
inference(forward_subsumption_resolution,[],[f4396,f670]) ).
fof(f4402,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_14
| ~ spl22_19
| ~ spl22_20
| ~ spl22_21
| ~ spl22_76
| ~ spl22_114 ),
inference(forward_subsumption_resolution,[],[f4401,f2916]) ).
fof(f4403,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_14
| ~ spl22_19
| ~ spl22_20
| ~ spl22_21
| ~ spl22_76
| ~ spl22_114 ),
inference(avatar_contradiction_clause,[],[f4402]) ).
cnf(s1,plain,
spl22_1,
inference(sat_conversion,[],[f240]) ).
cnf(s2,plain,
spl22_2,
inference(sat_conversion,[],[f282]) ).
cnf(s3,plain,
( ~ spl22_3
| ~ spl22_4 ),
inference(sat_conversion,[],[f327]) ).
cnf(s6,plain,
spl22_7,
inference(sat_conversion,[],[f416]) ).
cnf(s8,plain,
spl22_9,
inference(sat_conversion,[],[f496]) ).
cnf(s9,plain,
( ~ spl22_2
| spl22_3
| spl22_10 ),
inference(sat_conversion,[],[f558]) ).
cnf(s10,plain,
( ~ spl22_3
| spl22_11 ),
inference(sat_conversion,[],[f564]) ).
cnf(s11,plain,
( ~ spl22_2
| spl22_4
| ~ spl22_7
| spl22_12 ),
inference(sat_conversion,[],[f574]) ).
cnf(s12,plain,
( ~ spl22_7
| ~ spl22_12
| spl22_13 ),
inference(sat_conversion,[],[f616]) ).
cnf(s13,plain,
spl22_14,
inference(sat_conversion,[],[f671]) ).
cnf(s15,plain,
( ~ spl22_1
| ~ spl22_16
| spl22_17 ),
inference(sat_conversion,[],[f741]) ).
cnf(s16,plain,
( ~ spl22_2
| spl22_16 ),
inference(sat_conversion,[],[f761]) ).
cnf(s17,plain,
( ~ spl22_2
| ~ spl22_14
| ~ spl22_17
| spl22_18 ),
inference(sat_conversion,[],[f800]) ).
cnf(s18,plain,
spl22_19,
inference(sat_conversion,[],[f805]) ).
cnf(s19,plain,
( ~ spl22_9
| ~ spl22_11
| ~ spl22_13
| ~ spl22_14
| ~ spl22_18
| ~ spl22_19 ),
inference(sat_conversion,[],[f853]) ).
cnf(s20,plain,
( ~ spl22_4
| spl22_20 ),
inference(sat_conversion,[],[f863]) ).
cnf(s21,plain,
spl22_21,
inference(sat_conversion,[],[f927]) ).
cnf(s22,plain,
( ~ spl22_2
| ~ spl22_10
| spl22_22 ),
inference(sat_conversion,[],[f989]) ).
cnf(s24,plain,
( spl22_11
| spl22_20 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s39,plain,
( ~ spl22_7
| ~ spl22_22
| spl22_39 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s78,plain,
( ~ spl22_16
| ~ spl22_21
| spl22_76 ),
inference(sat_conversion,[],[f2834]) ).
cnf(s114,plain,
( ~ spl22_7
| ~ spl22_39
| spl22_113 ),
inference(sat_conversion,[],[f4310]) ).
cnf(s115,plain,
( ~ spl22_2
| ~ spl22_7
| ~ spl22_113
| spl22_114 ),
inference(sat_conversion,[],[f4336]) ).
cnf(s116,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_14
| ~ spl22_19
| ~ spl22_20
| ~ spl22_21
| ~ spl22_76
| ~ spl22_114 ),
inference(sat_conversion,[],[f4403]) ).
cnf(s163,plain,
spl22_16,
inference(rat,[],[s16,s2]) ).
cnf(s166,plain,
spl22_76,
inference(rat,[],[s78,s21,s163]) ).
cnf(s175,plain,
spl22_17,
inference(rat,[],[s15,s163,s1]) ).
cnf(s176,plain,
spl22_18,
inference(rat,[],[s17,s2,s13,s175]) ).
cnf(s179,plain,
spl22_20,
inference(rat,[],[s12,s11,s19,s20,s24,s6,s2,s8,s13,s176,s18]) ).
cnf(s185,plain,
~ spl22_114,
inference(rat,[],[s116,s1,s166,s21,s2,s18,s13,s179]) ).
cnf(s187,plain,
~ spl22_113,
inference(rat,[],[s115,s2,s6,s185]) ).
cnf(s189,plain,
~ spl22_39,
inference(rat,[],[s114,s6,s187]) ).
cnf(s190,plain,
~ spl22_22,
inference(rat,[],[s39,s6,s189]) ).
cnf(s191,plain,
~ spl22_10,
inference(rat,[],[s22,s2,s190]) ).
cnf(s192,plain,
spl22_3,
inference(rat,[],[s9,s2,s191]) ).
cnf(s193,plain,
spl22_11,
inference(rat,[],[s10,s192]) ).
cnf(s194,plain,
~ spl22_4,
inference(rat,[],[s3,s192]) ).
cnf(s200,plain,
~ spl22_13,
inference(rat,[],[s19,s18,s176,s13,s8,s193]) ).
cnf(s201,plain,
spl22_12,
inference(rat,[],[s11,s2,s6,s194]) ).
cnf(s202,plain,
$false,
inference(rat,[],[s12,s6,s200,s201]) ).
fof(f4404,plain,
$false,
inference(avatar_sat_refutation,[],[s202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC281+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 08:52:04 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.57/2.31 % (40242)Detected formulas, will run a generic FOF schedule.
% 11.57/2.31 % (40251)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1783059291:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.57/2.31 % (40251)Instruction limit reached!
% 11.57/2.31 % (40251)------------------------------
% 11.57/2.31 % (40251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.31 % (40251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.31 % (40251)CaDiCaL version: 2.1.3
% 11.57/2.31 % (40251)Termination reason: Instruction limit
% 11.57/2.31 % (40251)Termination phase: Saturation
% 11.57/2.31 % (40251)Time elapsed: 0.039 s
% 11.57/2.31 % (40251)Peak memory usage: 89 MB
% 11.57/2.31 % (40251)Instructions burned: 122 (million)
% 11.57/2.31 % (40252)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1334210666:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.57/2.31 % (40249)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=736138196:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.57/2.31 % (40248)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2081368611:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.57/2.31 % (40250)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1424502843:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.57/2.31 % (40253)dis-21_1_sil=8000:lcm=predicate:random_seed=1054238654:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.57/2.31 % (40247)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3686510698:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.57/2.31 % (40253)Instruction limit reached!
% 11.57/2.31 % (40253)------------------------------
% 11.57/2.31 % (40253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.31 % (40253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.31 % (40253)CaDiCaL version: 2.1.3
% 11.57/2.31 % (40253)Termination reason: Instruction limit
% 11.57/2.31 % (40253)Termination phase: Saturation
% 11.57/2.31 % (40253)Time elapsed: 0.068 s
% 11.57/2.31 % (40253)Peak memory usage: 91 MB
% 11.57/2.31 % (40253)Instructions burned: 129 (million)
% 11.57/2.31 % (40250)Instruction limit reached!
% 11.57/2.31 % (40250)------------------------------
% 11.57/2.31 % (40250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.31 % (40250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.31 % (40250)CaDiCaL version: 2.1.3
% 11.57/2.31 % (40250)Termination reason: Instruction limit
% 11.57/2.31 % (40250)Termination phase: Saturation
% 11.57/2.31 % (40250)Time elapsed: 0.072 s
% 11.57/2.31 % (40250)Peak memory usage: 89 MB
% 11.57/2.31 % (40250)Instructions burned: 110 (million)
% 11.57/2.31 % (40252)Instruction limit reached!
% 11.57/2.31 % (40252)------------------------------
% 11.57/2.31 % (40252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.31 % (40252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.31 % (40252)CaDiCaL version: 2.1.3
% 11.57/2.31 % (40252)Termination reason: Instruction limit
% 11.57/2.31 % (40252)Termination phase: Saturation
% 11.57/2.31 % (40252)Time elapsed: 0.094 s
% 11.57/2.31 % (40252)Peak memory usage: 90 MB
% 11.57/2.31 % (40252)Instructions burned: 139 (million)
% 11.57/2.31 % (40255)lrs+10_1_sil=8000:sp=occurrence:random_seed=111570017:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.57/2.31 % (40255)Instruction limit reached!
% 11.57/2.31 % (40255)------------------------------
% 11.57/2.31 % (40255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.31 % (40255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.31 % (40255)CaDiCaL version: 2.1.3
% 11.57/2.31 % (40255)Termination reason: Instruction limit
% 11.57/2.31 % (40255)Termination phase: Saturation
% 11.57/2.31 % (40255)Time elapsed: 0.090 s
% 11.57/2.31 % (40255)Peak memory usage: 93 MB
% 11.57/2.31 % (40255)Instructions burned: 289 (million)
% 11.57/2.31 % (40263)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1153098821:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.57/2.36 % (40262)lrs+10_1_sil=32000:urr=on:br=off:random_seed=10387082:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.57/2.36 % (40264)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2673739337:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.57/2.36 % (40262)Instruction limit reached!
% 11.57/2.36 % (40262)------------------------------
% 11.57/2.36 % (40262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40262)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40262)Termination reason: Instruction limit
% 11.57/2.36 % (40262)Termination phase: Saturation
% 11.57/2.36 % (40262)Time elapsed: 0.084 s
% 11.57/2.36 % (40262)Peak memory usage: 95 MB
% 11.57/2.36 % (40262)Instructions burned: 158 (million)
% 11.57/2.36 % (40266)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2572388469:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 11.57/2.36 % (40264)Instruction limit reached!
% 11.57/2.36 % (40264)------------------------------
% 11.57/2.36 % (40264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40264)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40264)Termination reason: Instruction limit
% 11.57/2.36 % (40264)Termination phase: Saturation
% 11.57/2.36 % (40264)Time elapsed: 0.122 s
% 11.57/2.36 % (40264)Peak memory usage: 95 MB
% 11.57/2.36 % (40264)Instructions burned: 250 (million)
% 11.57/2.36 % (40266)Instruction limit reached!
% 11.57/2.36 % (40266)------------------------------
% 11.57/2.36 % (40266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40266)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40266)Termination reason: Instruction limit
% 11.57/2.36 % (40266)Termination phase: Saturation
% 11.57/2.36 % (40266)Time elapsed: 0.094 s
% 11.57/2.36 % (40266)Peak memory usage: 90 MB
% 11.57/2.36 % (40266)Instructions burned: 295 (million)
% 11.57/2.36 % (40263)Instruction limit reached!
% 11.57/2.36 % (40263)------------------------------
% 11.57/2.36 % (40263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40263)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40263)Termination reason: Instruction limit
% 11.57/2.36 % (40263)Termination phase: Saturation
% 11.57/2.36 % (40263)Time elapsed: 0.200 s
% 11.57/2.36 % (40263)Peak memory usage: 92 MB
% 11.57/2.36 % (40263)Instructions burned: 325 (million)
% 11.57/2.36 % (40270)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3744443820:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.57/2.36 % (40272)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3996317136:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.57/2.36 % (40273)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2394802862:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.57/2.36 % (40273)Instruction limit reached!
% 11.57/2.36 % (40273)------------------------------
% 11.57/2.36 % (40273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40273)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40273)Termination reason: Instruction limit
% 11.57/2.36 % (40273)Termination phase: Saturation
% 11.57/2.36 % (40273)Time elapsed: 0.035 s
% 11.57/2.36 % (40273)Peak memory usage: 90 MB
% 11.57/2.36 % (40273)Instructions burned: 130 (million)
% 11.57/2.36 % (40274)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3378828539:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 11.57/2.36 % (40272)Instruction limit reached!
% 11.57/2.36 % (40272)------------------------------
% 11.57/2.36 % (40272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40272)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40272)Termination reason: Instruction limit
% 11.57/2.36 % (40272)Termination phase: Saturation
% 11.57/2.36 % (40272)Time elapsed: 0.072 s
% 11.57/2.36 % (40272)Peak memory usage: 90 MB
% 11.57/2.36 % (40272)Instructions burned: 113 (million)
% 11.57/2.36 % (40274)Instruction limit reached!
% 11.57/2.36 % (40274)------------------------------
% 11.57/2.36 % (40274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40274)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40274)Termination reason: Instruction limit
% 11.57/2.36 % (40274)Termination phase: Saturation
% 11.57/2.36 % (40274)Time elapsed: 0.068 s
% 11.57/2.36 % (40274)Peak memory usage: 89 MB
% 11.57/2.36 % (40274)Instructions burned: 115 (million)
% 11.57/2.36 % (40280)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=24282526:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 11.57/2.36 % (40278)lrs+10_1_sil=8000:sp=occurrence:random_seed=1227854433:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 11.57/2.36 % (40281)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1990373631:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 11.57/2.36 % (40280)Instruction limit reached!
% 11.57/2.36 % (40280)------------------------------
% 11.57/2.36 % (40280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40280)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40280)Termination reason: Instruction limit
% 11.57/2.36 % (40280)Termination phase: Saturation
% 11.57/2.36 % (40280)Time elapsed: 0.137 s
% 11.57/2.36 % (40280)Peak memory usage: 93 MB
% 11.57/2.36 % (40280)Instructions burned: 437 (million)
% 11.57/2.36 % (40285)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1140843293:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 11.57/2.36 % (40285)Instruction limit reached!
% 11.57/2.36 % (40285)------------------------------
% 11.57/2.36 % (40285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40285)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40285)Termination reason: Instruction limit
% 11.57/2.36 % (40285)Termination phase: Saturation
% 11.57/2.36 % (40285)Time elapsed: 0.034 s
% 11.57/2.36 % (40285)Peak memory usage: 90 MB
% 11.57/2.36 % (40285)Instructions burned: 138 (million)
% 11.57/2.36 % (40287)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1263761365:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.57/2.36 % (40278)Instruction limit reached!
% 11.57/2.36 % (40278)------------------------------
% 11.57/2.36 % (40278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40278)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40278)Termination reason: Instruction limit
% 11.57/2.36 % (40278)Termination phase: Saturation
% 11.57/2.36 % (40278)Time elapsed: 0.488 s
% 11.57/2.36 % (40278)Peak memory usage: 100 MB
% 11.57/2.36 % (40278)Instructions burned: 908 (million)
% 11.57/2.36 % (40249)First to succeed.
% 11.57/2.36 % (40249)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-40242"
% 11.57/2.36 % (40287)Instruction limit reached!
% 11.57/2.36 % (40287)------------------------------
% 11.57/2.36 % (40287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40287)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40287)Termination reason: Instruction limit
% 11.57/2.36 % (40287)Termination phase: Saturation
% 11.57/2.36 % (40287)Time elapsed: 0.170 s
% 11.57/2.36 % (40287)Peak memory usage: 94 MB
% 11.57/2.36 % (40287)Instructions burned: 593 (million)
% 11.57/2.36 % (40289)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=239477127:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 11.57/2.36 % (40290)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3089888675:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 11.57/2.36 % (40290)Instruction limit reached!
% 11.57/2.36 % (40290)------------------------------
% 11.57/2.36 % (40290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/2.36 % (40290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/2.36 % (40290)CaDiCaL version: 2.1.3
% 11.57/2.36 % (40290)Termination reason: Instruction limit
% 11.57/2.36 % (40290)Termination phase: Saturation
% 11.57/2.36 % (40290)Time elapsed: 0.038 s
% 11.57/2.36 % (40290)Peak memory usage: 91 MB
% 11.57/2.36 % (40290)Instructions burned: 127 (million)
% 11.57/2.36 % (40249)Refutation found. Thanks to Tanya!
% 11.57/2.36 % SZS status Theorem for theBenchmark
% 11.57/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 12.58/2.56 % (40249)------------------------------
% 12.58/2.56 % (40249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.58/2.56 % (40249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.56 % (40249)CaDiCaL version: 2.1.3
% 12.58/2.56 % (40249)Termination reason: Refutation
% 12.58/2.56 % (40249)Time elapsed: 1.258 s
% 12.58/2.56 % (40249)Peak memory usage: 139 MB
% 12.58/2.56 % (40249)Instructions burned: 1948 (million)
% 12.58/2.56 % (40249)------------------------------
% 12.58/2.56 % (40249)------------------------------
% 12.58/2.56 % (40242)Success in time 1.698 s
% 12.58/2.56 % Vampire exiting
%------------------------------------------------------------------------------