%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC282+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 5.91s 2.14s
% Output : Refutation 11.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 32
% Syntax : Number of formulae : 236 ( 44 unt; 23 def)
% Number of atoms : 1092 ( 86 equ)
% Maximal formula atoms : 35 ( 4 avg)
% Number of connectives : 1588 ( 732 ~; 685 |; 106 &)
% ( 30 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 24 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 291 ( 0 sgn 247 !; 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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/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/sandbox/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)
=> ! [X5] :
( ~ ssList(X5)
| app(app(X4,X2),X5) != X3
| ~ totalorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X2
& leq(X6,X8) ) ) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X5
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& leq(X12,X10) ) ) ) ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> ! [X16] :
( ~ ssList(X16)
| app(app(X15,cons(X14,nil)),X16) != X0
| ! [X17] :
( ssItem(X17)
=> ( ( ~ memberP(X15,X17)
| leq(X17,X14) )
& ( ~ memberP(X16,X17)
| leq(X14,X17) ) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ),
file('/export/starexec/sandbox/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)
=> ! [X5] :
( ~ ssList(X5)
| app(app(X4,X2),X5) != X3
| ~ totalorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X2
& leq(X6,X8) ) ) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X5
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& leq(X12,X10) ) ) ) ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssList(X15)
=> ! [X16] :
( ~ ssList(X16)
| app(app(X15,cons(X14,nil)),X16) != X0
| ! [X17] :
( ssItem(X17)
=> ( ( ~ memberP(X15,X17)
| leq(X17,X14) )
& ( ~ memberP(X16,X17)
| leq(X14,X17) ) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,X2),X5) = X3
& totalorderedP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X2
| ~ leq(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != X2
| ~ leq(X12,X10) ) ) ) ) )
& ssList(X4) )
& ? [X14] :
( ? [X15] :
( ? [X16] :
( ssList(X16)
& app(app(X15,cons(X14,nil)),X16) = X0
& ? [X17] :
( ( ( memberP(X15,X17)
& ~ leq(X17,X14) )
| ( memberP(X16,X17)
& ~ leq(X14,X17) ) )
& ssItem(X17) ) )
& ssList(X15) )
& ssItem(X14) )
& ( nil = X3
| nil != X2 ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f108,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(f109,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f119,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(f120,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(f128,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(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(flattening,[],[f128]) ).
fof(f130,plain,
( ssList(sK3)
& sK1 = sK3
& sK0 = sK2
& ssList(sK5)
& sK3 = app(app(sK4,sK2),sK5)
& totalorderedP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != sK4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != sK2
| ~ leq(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != sK5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != sK2
| ~ leq(X12,X10) ) ) ) )
& ssList(sK4)
& ssList(sK8)
& sK0 = app(app(sK7,cons(sK6,nil)),sK8)
& ( ( memberP(sK7,sK9)
& ~ leq(sK9,sK6) )
| ( memberP(sK8,sK9)
& ~ leq(sK6,sK9) ) )
& ssItem(sK9)
& ssList(sK7)
& ssItem(sK6)
& ( nil = sK3
| nil != sK2 )
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X14,sK6),skolemize(X15,sK7),skolemize(X16,sK8),skolemize(X17,sK9)],[f98]) ).
fof(f137,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,[],[f119]) ).
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(flattening,[],[f137]) ).
fof(f139,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,[],[f120]) ).
fof(f140,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,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK14(X0,X1))
& ssList(sK15(X0,X1))
& app(sK14(X0,X1),cons(X1,sK15(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X4,sK14(X0,X1)),skolemize(X5,sK15(X0,X1))],[f140]) ).
fof(f144,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,[],[f129]) ).
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) ) )
& ( ! [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,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK16(X0),sK17(X0))
& app(app(sK18(X0),cons(sK16(X0),sK19(X0))),cons(sK17(X0),sK20(X0))) = X0
& ssList(sK20(X0))
& ssList(sK19(X0))
& ssList(sK18(X0))
& ssItem(sK17(X0))
& ssItem(sK16(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,[sK16,sK17,sK18,sK19,sK20]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0)),skolemize(X3,sK18(X0)),skolemize(X4,sK19(X0)),skolemize(X5,sK20(X0))],[f145]) ).
fof(f147,plain,
ssList(sK0),
inference(cnf_transformation,[],[f130]) ).
fof(f151,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f130]) ).
fof(f152,plain,
ssList(sK7),
inference(cnf_transformation,[],[f130]) ).
fof(f153,plain,
ssItem(sK9),
inference(cnf_transformation,[],[f130]) ).
fof(f154,plain,
( ~ leq(sK9,sK6)
| ~ leq(sK6,sK9) ),
inference(cnf_transformation,[],[f130]) ).
fof(f155,plain,
( ~ leq(sK9,sK6)
| memberP(sK8,sK9) ),
inference(cnf_transformation,[],[f130]) ).
fof(f156,plain,
( memberP(sK7,sK9)
| ~ leq(sK6,sK9) ),
inference(cnf_transformation,[],[f130]) ).
fof(f157,plain,
( memberP(sK7,sK9)
| memberP(sK8,sK9) ),
inference(cnf_transformation,[],[f130]) ).
fof(f158,plain,
sK0 = app(app(sK7,cons(sK6,nil)),sK8),
inference(cnf_transformation,[],[f130]) ).
fof(f159,plain,
ssList(sK8),
inference(cnf_transformation,[],[f130]) ).
fof(f163,plain,
totalorderedP(sK2),
inference(cnf_transformation,[],[f130]) ).
fof(f166,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f130]) ).
fof(f179,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f184,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f185,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f190,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f191,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f198,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f199,plain,
! [X0,X1] :
( app(sK14(X0,X1),cons(X1,sK15(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f200,plain,
! [X0,X1] :
( ssList(sK15(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f201,plain,
! [X0,X1] :
( ssList(sK14(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f202,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,[],[f141]) ).
fof(f213,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,[],[f146]) ).
fof(f221,plain,
sK2 = app(app(sK7,cons(sK6,nil)),sK8),
inference(definition_unfolding,[],[f158,f166]) ).
fof(f223,plain,
ssList(sK2),
inference(definition_unfolding,[],[f147,f166]) ).
fof(f227,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,[],[f202]) ).
fof(f230,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,[],[f213]) ).
fof(f242,definition,
( spl25_1
<=> sK2 = app(app(sK7,cons(sK6,nil)),sK8) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f244,plain,
( sK2 = app(app(sK7,cons(sK6,nil)),sK8)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
spl25_1,
inference(avatar_split_clause,[],[f221,f242]) ).
fof(f267,plain,
( sK2 = app(sK7,app(cons(sK6,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK6,nil))
| ~ ssList(sK7)
| ~ spl25_1 ),
inference(superposition,[],[f184,f244]) ).
fof(f268,plain,
( sK2 = app(sK7,app(cons(sK6,nil),sK8))
| ~ ssList(cons(sK6,nil))
| ~ ssList(sK7)
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f267,f159]) ).
fof(f281,plain,
( sK2 = app(sK7,app(cons(sK6,nil),sK8))
| ~ ssList(cons(sK6,nil))
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f268,f152]) ).
fof(f284,definition,
( spl25_2
<=> ssItem(sK6) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f286,plain,
( ssItem(sK6)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
spl25_2,
inference(avatar_split_clause,[],[f151,f284]) ).
fof(f306,plain,
( ! [X0] :
( ssList(sK15(X0,sK6))
| ~ memberP(X0,sK6)
| ~ ssList(X0) )
| ~ spl25_2 ),
inference(resolution,[],[f286,f200]) ).
fof(f307,plain,
( ! [X0] :
( ssList(sK14(X0,sK6))
| ~ memberP(X0,sK6)
| ~ ssList(X0) )
| ~ spl25_2 ),
inference(resolution,[],[f286,f201]) ).
fof(f330,definition,
( spl25_4
<=> ssItem(sK9) ),
introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).
fof(f332,plain,
( ssItem(sK9)
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f333,plain,
spl25_4,
inference(avatar_split_clause,[],[f153,f330]) ).
fof(f428,definition,
( spl25_6
<=> leq(sK6,sK9) ),
introduced(definition,[new_symbols(definition,[spl25_6])],[avatar_definition]) ).
fof(f430,plain,
( ~ leq(sK6,sK9)
| spl25_6 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f432,definition,
( spl25_7
<=> leq(sK9,sK6) ),
introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).
fof(f434,plain,
( ~ leq(sK9,sK6)
| spl25_7 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f435,plain,
( ~ spl25_6
| ~ spl25_7 ),
inference(avatar_split_clause,[],[f154,f432,f428]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK9)
| ~ ssItem(sK6)
| ~ totalorderedP(app(app(X2,cons(sK6,X1)),cons(sK9,X0)))
| ~ ssList(app(app(X2,cons(sK6,X1)),cons(sK9,X0))) )
| spl25_6 ),
inference(resolution,[],[f430,f230]) ).
fof(f439,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK6)
| ~ totalorderedP(app(app(X2,cons(sK6,X1)),cons(sK9,X0)))
| ~ ssList(app(app(X2,cons(sK6,X1)),cons(sK9,X0))) )
| ~ spl25_4
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f436,f332]) ).
fof(f441,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(app(app(X2,cons(sK6,X1)),cons(sK9,X0)))
| ~ ssList(app(app(X2,cons(sK6,X1)),cons(sK9,X0))) )
| ~ spl25_2
| ~ spl25_4
| spl25_6 ),
inference(forward_subsumption_resolution,[],[f439,f286]) ).
fof(f453,plain,
( ! [X0] :
( ssList(cons(sK9,X0))
| ~ ssList(X0) )
| ~ spl25_4 ),
inference(resolution,[],[f332,f179]) ).
fof(f465,plain,
( ! [X0] :
( ssList(sK15(X0,sK9))
| ~ memberP(X0,sK9)
| ~ ssList(X0) )
| ~ spl25_4 ),
inference(resolution,[],[f332,f200]) ).
fof(f466,plain,
( ! [X0] :
( ssList(sK14(X0,sK9))
| ~ memberP(X0,sK9)
| ~ ssList(X0) )
| ~ spl25_4 ),
inference(resolution,[],[f332,f201]) ).
fof(f484,definition,
( spl25_9
<=> ssList(sK2) ),
introduced(definition,[new_symbols(definition,[spl25_9])],[avatar_definition]) ).
fof(f486,plain,
( ssList(sK2)
| ~ spl25_9 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f487,plain,
spl25_9,
inference(avatar_split_clause,[],[f223,f484]) ).
fof(f604,definition,
( spl25_10
<=> totalorderedP(sK2) ),
introduced(definition,[new_symbols(definition,[spl25_10])],[avatar_definition]) ).
fof(f606,plain,
( totalorderedP(sK2)
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f607,plain,
spl25_10,
inference(avatar_split_clause,[],[f163,f604]) ).
fof(f609,definition,
( spl25_11
<=> ssList(sK8) ),
introduced(definition,[new_symbols(definition,[spl25_11])],[avatar_definition]) ).
fof(f611,plain,
( ssList(sK8)
| ~ spl25_11 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,plain,
spl25_11,
inference(avatar_split_clause,[],[f159,f609]) ).
fof(f671,definition,
( spl25_12
<=> memberP(sK7,sK9) ),
introduced(definition,[new_symbols(definition,[spl25_12])],[avatar_definition]) ).
fof(f673,plain,
( memberP(sK7,sK9)
| ~ spl25_12 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f674,plain,
( ~ spl25_6
| spl25_12 ),
inference(avatar_split_clause,[],[f156,f671,f428]) ).
fof(f676,definition,
( spl25_13
<=> memberP(sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl25_13])],[avatar_definition]) ).
fof(f678,plain,
( memberP(sK8,sK9)
| ~ spl25_13 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f679,plain,
( spl25_13
| ~ spl25_7 ),
inference(avatar_split_clause,[],[f155,f432,f676]) ).
fof(f680,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK6)
| ~ ssItem(sK9)
| ~ totalorderedP(app(app(X2,cons(sK9,X1)),cons(sK6,X0)))
| ~ ssList(app(app(X2,cons(sK9,X1)),cons(sK6,X0))) )
| spl25_7 ),
inference(resolution,[],[f434,f230]) ).
fof(f683,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK9)
| ~ totalorderedP(app(app(X2,cons(sK9,X1)),cons(sK6,X0)))
| ~ ssList(app(app(X2,cons(sK9,X1)),cons(sK6,X0))) )
| ~ spl25_2
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f680,f286]) ).
fof(f685,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(app(app(X2,cons(sK9,X1)),cons(sK6,X0)))
| ~ ssList(app(app(X2,cons(sK9,X1)),cons(sK6,X0))) )
| ~ spl25_2
| ~ spl25_4
| spl25_7 ),
inference(forward_subsumption_resolution,[],[f683,f332]) ).
fof(f687,definition,
( spl25_14
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(app(app(X2,cons(sK9,X1)),cons(sK6,X0)))
| ~ ssList(app(app(X2,cons(sK9,X1)),cons(sK6,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl25_14])],[avatar_definition]) ).
fof(f688,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(app(X2,cons(sK9,X1)),cons(sK6,X0)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X2,cons(sK9,X1)),cons(sK6,X0))) )
| ~ spl25_14 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( spl25_14
| ~ spl25_2
| ~ spl25_4
| spl25_7 ),
inference(avatar_split_clause,[],[f685,f432,f330,f284,f687]) ).
fof(f709,definition,
( spl25_15
<=> ssList(cons(sK6,nil)) ),
introduced(definition,[new_symbols(definition,[spl25_15])],[avatar_definition]) ).
fof(f710,plain,
( ssList(cons(sK6,nil))
| ~ spl25_15 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f711,plain,
( ~ ssList(cons(sK6,nil))
| spl25_15 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f713,definition,
( spl25_16
<=> sK2 = app(sK7,app(cons(sK6,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl25_16])],[avatar_definition]) ).
fof(f715,plain,
( sK2 = app(sK7,app(cons(sK6,nil),sK8))
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f716,plain,
( ~ spl25_15
| spl25_16
| ~ spl25_1 ),
inference(avatar_split_clause,[],[f281,f242,f713,f709]) ).
fof(f717,plain,
( ~ ssItem(sK6)
| ~ ssList(nil)
| spl25_15 ),
inference(resolution,[],[f711,f179]) ).
fof(f734,plain,
( ~ ssList(nil)
| ~ spl25_2
| spl25_15 ),
inference(forward_subsumption_resolution,[],[f717,f286]) ).
fof(f735,plain,
( $false
| ~ spl25_2
| spl25_15 ),
inference(forward_subsumption_resolution,[],[f734,f191]) ).
fof(f736,plain,
( ~ spl25_2
| spl25_15 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f745,plain,
( sK2 = app(sK7,cons(sK6,sK8))
| ~ ssItem(sK6)
| ~ ssList(sK8)
| ~ spl25_16 ),
inference(superposition,[],[f715,f185]) ).
fof(f769,plain,
( sK2 = app(sK7,cons(sK6,sK8))
| ~ ssList(sK8)
| ~ spl25_2
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f745,f286]) ).
fof(f770,plain,
( sK2 = app(sK7,cons(sK6,sK8))
| ~ spl25_2
| ~ spl25_11
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f769,f611]) ).
fof(f772,definition,
( spl25_17
<=> ssList(sK7) ),
introduced(definition,[new_symbols(definition,[spl25_17])],[avatar_definition]) ).
fof(f774,plain,
( ssList(sK7)
| ~ spl25_17 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f775,plain,
spl25_17,
inference(avatar_split_clause,[],[f152,f772]) ).
fof(f872,definition,
( spl25_21
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ totalorderedP(app(app(X2,cons(sK6,X1)),cons(sK9,X0)))
| ~ ssList(app(app(X2,cons(sK6,X1)),cons(sK9,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl25_21])],[avatar_definition]) ).
fof(f873,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(app(X2,cons(sK6,X1)),cons(sK9,X0)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X2,cons(sK6,X1)),cons(sK9,X0))) )
| ~ spl25_21 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f874,plain,
( spl25_21
| ~ spl25_2
| ~ spl25_4
| spl25_6 ),
inference(avatar_split_clause,[],[f441,f428,f330,f284,f872]) ).
fof(f884,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK9,X1)))
| ~ ssList(sK15(X0,sK6))
| ~ ssList(sK14(X0,sK6))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK9,X1)))
| ~ memberP(X0,sK6)
| ~ ssItem(sK6)
| ~ ssList(X0) )
| ~ spl25_21 ),
inference(superposition,[],[f873,f199]) ).
fof(f904,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK9,X1)))
| ~ ssList(sK15(X0,sK6))
| ~ ssList(sK14(X0,sK6))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK9,X1)))
| ~ memberP(X0,sK6)
| ~ ssList(X0) )
| ~ spl25_2
| ~ spl25_21 ),
inference(forward_subsumption_resolution,[],[f884,f286]) ).
fof(f910,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK9,X1)))
| ~ ssList(sK14(X0,sK6))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK9,X1)))
| ~ memberP(X0,sK6)
| ~ ssList(X0) )
| ~ spl25_2
| ~ spl25_21 ),
inference(forward_subsumption_resolution,[],[f904,f306]) ).
fof(f912,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK9,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK9,X1)))
| ~ memberP(X0,sK6)
| ~ ssList(X0) )
| ~ spl25_2
| ~ spl25_21 ),
inference(forward_subsumption_resolution,[],[f910,f307]) ).
fof(f934,definition,
( spl25_24
<=> sK2 = app(sK7,cons(sK6,sK8)) ),
introduced(definition,[new_symbols(definition,[spl25_24])],[avatar_definition]) ).
fof(f936,plain,
( sK2 = app(sK7,cons(sK6,sK8))
| ~ spl25_24 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f937,plain,
( spl25_24
| ~ spl25_2
| ~ spl25_11
| ~ spl25_16 ),
inference(avatar_split_clause,[],[f770,f713,f609,f284,f934]) ).
fof(f982,plain,
( spl25_13
| spl25_12 ),
inference(avatar_split_clause,[],[f157,f671,f676]) ).
fof(f2100,definition,
( spl25_50
<=> ssList(app(sK7,cons(sK6,nil))) ),
introduced(definition,[new_symbols(definition,[spl25_50])],[avatar_definition]) ).
fof(f2101,plain,
( ssList(app(sK7,cons(sK6,nil)))
| ~ spl25_50 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2102,plain,
( ~ ssList(app(sK7,cons(sK6,nil)))
| spl25_50 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2108,plain,
( ~ ssList(cons(sK6,nil))
| ~ ssList(sK7)
| spl25_50 ),
inference(resolution,[],[f2102,f190]) ).
fof(f2117,plain,
( ~ ssList(sK7)
| ~ spl25_15
| spl25_50 ),
inference(forward_subsumption_resolution,[],[f2108,f710]) ).
fof(f2118,plain,
( $false
| ~ spl25_15
| ~ spl25_17
| spl25_50 ),
inference(forward_subsumption_resolution,[],[f2117,f774]) ).
fof(f2119,plain,
( ~ spl25_15
| ~ spl25_17
| spl25_50 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
fof(f2232,plain,
( sK7 = app(sK14(sK7,sK9),cons(sK9,sK15(sK7,sK9)))
| ~ ssItem(sK9)
| ~ ssList(sK7)
| ~ spl25_12 ),
inference(resolution,[],[f673,f199]) ).
fof(f2233,plain,
( ssList(sK15(sK7,sK9))
| ~ ssItem(sK9)
| ~ ssList(sK7)
| ~ spl25_12 ),
inference(resolution,[],[f673,f200]) ).
fof(f2234,plain,
( ssList(sK14(sK7,sK9))
| ~ ssItem(sK9)
| ~ ssList(sK7)
| ~ spl25_12 ),
inference(resolution,[],[f673,f201]) ).
fof(f2241,plain,
( ssList(sK14(sK7,sK9))
| ~ ssList(sK7)
| ~ spl25_4
| ~ spl25_12 ),
inference(forward_subsumption_resolution,[],[f2234,f332]) ).
fof(f2242,plain,
( ssList(sK15(sK7,sK9))
| ~ ssList(sK7)
| ~ spl25_4
| ~ spl25_12 ),
inference(forward_subsumption_resolution,[],[f2233,f332]) ).
fof(f2243,plain,
( sK7 = app(sK14(sK7,sK9),cons(sK9,sK15(sK7,sK9)))
| ~ ssList(sK7)
| ~ spl25_4
| ~ spl25_12 ),
inference(forward_subsumption_resolution,[],[f2232,f332]) ).
fof(f2247,plain,
( ssList(sK14(sK7,sK9))
| ~ spl25_4
| ~ spl25_12
| ~ spl25_17 ),
inference(forward_subsumption_resolution,[],[f2241,f774]) ).
fof(f2248,plain,
( ssList(sK15(sK7,sK9))
| ~ spl25_4
| ~ spl25_12
| ~ spl25_17 ),
inference(forward_subsumption_resolution,[],[f2242,f774]) ).
fof(f2249,plain,
( sK7 = app(sK14(sK7,sK9),cons(sK9,sK15(sK7,sK9)))
| ~ spl25_4
| ~ spl25_12
| ~ spl25_17 ),
inference(forward_subsumption_resolution,[],[f2243,f774]) ).
fof(f2298,definition,
( spl25_52
<=> sK7 = app(sK14(sK7,sK9),cons(sK9,sK15(sK7,sK9))) ),
introduced(definition,[new_symbols(definition,[spl25_52])],[avatar_definition]) ).
fof(f2300,plain,
( sK7 = app(sK14(sK7,sK9),cons(sK9,sK15(sK7,sK9)))
| ~ spl25_52 ),
inference(avatar_component_clause,[],[f2298]) ).
fof(f2301,plain,
( spl25_52
| ~ spl25_4
| ~ spl25_12
| ~ spl25_17 ),
inference(avatar_split_clause,[],[f2249,f772,f671,f330,f2298]) ).
fof(f2302,plain,
( ! [X0] :
( ~ totalorderedP(app(sK7,cons(sK6,X0)))
| ~ ssList(sK15(sK7,sK9))
| ~ ssList(sK14(sK7,sK9))
| ~ ssList(X0)
| ~ ssList(app(sK7,cons(sK6,X0))) )
| ~ spl25_14
| ~ spl25_52 ),
inference(superposition,[],[f688,f2300]) ).
fof(f2336,plain,
( ! [X0] :
( ~ totalorderedP(app(sK7,cons(sK6,X0)))
| ~ ssList(sK14(sK7,sK9))
| ~ ssList(X0)
| ~ ssList(app(sK7,cons(sK6,X0))) )
| ~ spl25_4
| ~ spl25_12
| ~ spl25_14
| ~ spl25_17
| ~ spl25_52 ),
inference(forward_subsumption_resolution,[],[f2302,f2248]) ).
fof(f2341,plain,
( ! [X0] :
( ~ totalorderedP(app(sK7,cons(sK6,X0)))
| ~ ssList(X0)
| ~ ssList(app(sK7,cons(sK6,X0))) )
| ~ spl25_4
| ~ spl25_12
| ~ spl25_14
| ~ spl25_17
| ~ spl25_52 ),
inference(forward_subsumption_resolution,[],[f2336,f2247]) ).
fof(f2346,definition,
( spl25_53
<=> ! [X0] :
( ~ totalorderedP(app(sK7,cons(sK6,X0)))
| ~ ssList(X0)
| ~ ssList(app(sK7,cons(sK6,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl25_53])],[avatar_definition]) ).
fof(f2347,plain,
( ! [X0] :
( ~ totalorderedP(app(sK7,cons(sK6,X0)))
| ~ ssList(X0)
| ~ ssList(app(sK7,cons(sK6,X0))) )
| ~ spl25_53 ),
inference(avatar_component_clause,[],[f2346]) ).
fof(f2348,plain,
( spl25_53
| ~ spl25_4
| ~ spl25_12
| ~ spl25_14
| ~ spl25_17
| ~ spl25_52 ),
inference(avatar_split_clause,[],[f2341,f2298,f772,f687,f671,f330,f2346]) ).
fof(f2358,plain,
( ~ totalorderedP(sK2)
| ~ ssList(sK8)
| ~ ssList(sK2)
| ~ spl25_24
| ~ spl25_53 ),
inference(superposition,[],[f2347,f936]) ).
fof(f2367,plain,
( ~ ssList(sK8)
| ~ ssList(sK2)
| ~ spl25_10
| ~ spl25_24
| ~ spl25_53 ),
inference(forward_subsumption_resolution,[],[f2358,f606]) ).
fof(f2369,plain,
( ~ ssList(sK2)
| ~ spl25_10
| ~ spl25_11
| ~ spl25_24
| ~ spl25_53 ),
inference(forward_subsumption_resolution,[],[f2367,f611]) ).
fof(f2371,plain,
( $false
| ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_24
| ~ spl25_53 ),
inference(forward_subsumption_resolution,[],[f2369,f486]) ).
fof(f2372,plain,
( ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_24
| ~ spl25_53 ),
inference(avatar_contradiction_clause,[],[f2371]) ).
fof(f2602,plain,
( memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssItem(sK6)
| ~ spl25_50 ),
inference(resolution,[],[f2101,f227]) ).
fof(f2676,plain,
( memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ ssList(nil)
| ~ ssItem(sK6)
| ~ spl25_17
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f2602,f774]) ).
fof(f2677,plain,
( memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ ssItem(sK6)
| ~ spl25_17
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f2676,f191]) ).
fof(f2678,plain,
( memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ spl25_2
| ~ spl25_17
| ~ spl25_50 ),
inference(forward_subsumption_resolution,[],[f2677,f286]) ).
fof(f3636,definition,
( spl25_81
<=> ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK9,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK9,X1)))
| ~ memberP(X0,sK6)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl25_81])],[avatar_definition]) ).
fof(f3637,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,cons(sK9,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK9,X1)))
| ~ memberP(X0,sK6)
| ~ ssList(X0) )
| ~ spl25_81 ),
inference(avatar_component_clause,[],[f3636]) ).
fof(f3638,plain,
( spl25_81
| ~ spl25_2
| ~ spl25_21 ),
inference(avatar_split_clause,[],[f912,f872,f284,f3636]) ).
fof(f3812,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK9,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK9,X2))))
| ~ memberP(app(X0,X1),sK6)
| ~ ssList(app(X0,X1))
| ~ ssList(cons(sK9,X2))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl25_81 ),
inference(superposition,[],[f3637,f184]) ).
fof(f3823,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK9,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK9,X2))))
| ~ memberP(app(X0,X1),sK6)
| ~ ssList(cons(sK9,X2))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl25_81 ),
inference(forward_subsumption_resolution,[],[f3812,f190]) ).
fof(f3830,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK9,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK9,X2))))
| ~ memberP(app(X0,X1),sK6)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl25_4
| ~ spl25_81 ),
inference(forward_subsumption_resolution,[],[f3823,f453]) ).
fof(f3841,definition,
( spl25_89
<=> ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK9,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK9,X2))))
| ~ memberP(app(X0,X1),sK6)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl25_89])],[avatar_definition]) ).
fof(f3842,plain,
( ! [X2,X0,X1] :
( ~ totalorderedP(app(X0,app(X1,cons(sK9,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK9,X2))))
| ~ memberP(app(X0,X1),sK6)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl25_89 ),
inference(avatar_component_clause,[],[f3841]) ).
fof(f3843,plain,
( spl25_89
| ~ spl25_4
| ~ spl25_81 ),
inference(avatar_split_clause,[],[f3830,f3636,f330,f3841]) ).
fof(f3855,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssList(sK15(X0,sK9))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK14(X0,sK9)),sK6)
| ~ ssList(sK14(X0,sK9))
| ~ ssList(X1)
| ~ memberP(X0,sK9)
| ~ ssItem(sK9)
| ~ ssList(X0) )
| ~ spl25_89 ),
inference(superposition,[],[f3842,f199]) ).
fof(f3885,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssList(sK15(X0,sK9))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK14(X0,sK9)),sK6)
| ~ ssList(sK14(X0,sK9))
| ~ ssList(X1)
| ~ memberP(X0,sK9)
| ~ ssList(X0) )
| ~ spl25_4
| ~ spl25_89 ),
inference(forward_subsumption_resolution,[],[f3855,f332]) ).
fof(f3892,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK14(X0,sK9)),sK6)
| ~ ssList(sK14(X0,sK9))
| ~ ssList(X1)
| ~ memberP(X0,sK9)
| ~ ssList(X0) )
| ~ spl25_4
| ~ spl25_89 ),
inference(forward_subsumption_resolution,[],[f3885,f465]) ).
fof(f3896,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ memberP(app(X1,sK14(X0,sK9)),sK6)
| ~ ssList(sK14(X0,sK9))
| ~ ssList(X1)
| ~ memberP(X0,sK9)
| ~ ssList(X0) )
| ~ spl25_4
| ~ spl25_89 ),
inference(forward_subsumption_resolution,[],[f3892,f190]) ).
fof(f3898,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ memberP(app(X1,sK14(X0,sK9)),sK6)
| ~ ssList(X1)
| ~ memberP(X0,sK9)
| ~ ssList(X0) )
| ~ spl25_4
| ~ spl25_89 ),
inference(forward_subsumption_resolution,[],[f3896,f466]) ).
fof(f3900,definition,
( spl25_90
<=> ! [X0,X1] :
( ~ totalorderedP(app(X1,X0))
| ~ memberP(app(X1,sK14(X0,sK9)),sK6)
| ~ ssList(X1)
| ~ memberP(X0,sK9)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl25_90])],[avatar_definition]) ).
fof(f3901,plain,
( ! [X0,X1] :
( ~ memberP(app(X1,sK14(X0,sK9)),sK6)
| ~ totalorderedP(app(X1,X0))
| ~ ssList(X1)
| ~ memberP(X0,sK9)
| ~ ssList(X0) )
| ~ spl25_90 ),
inference(avatar_component_clause,[],[f3900]) ).
fof(f3902,plain,
( spl25_90
| ~ spl25_4
| ~ spl25_89 ),
inference(avatar_split_clause,[],[f3898,f3841,f330,f3900]) ).
fof(f3904,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK9)
| ~ ssList(X1)
| ~ memberP(X0,sK6)
| ~ ssList(sK14(X1,sK9))
| ~ ssList(X0)
| ~ ssItem(sK6) )
| ~ spl25_90 ),
inference(resolution,[],[f3901,f198]) ).
fof(f3913,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK9)
| ~ ssList(X1)
| ~ memberP(X0,sK6)
| ~ ssList(sK14(X1,sK9))
| ~ ssItem(sK6) )
| ~ spl25_90 ),
inference(duplicate_literal_removal,[],[f3904]) ).
fof(f3923,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK9)
| ~ ssList(X1)
| ~ memberP(X0,sK6)
| ~ ssList(sK14(X1,sK9)) )
| ~ spl25_2
| ~ spl25_90 ),
inference(forward_subsumption_resolution,[],[f3913,f286]) ).
fof(f3928,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK9)
| ~ ssList(X1)
| ~ memberP(X0,sK6) )
| ~ spl25_2
| ~ spl25_4
| ~ spl25_90 ),
inference(forward_subsumption_resolution,[],[f3923,f466]) ).
fof(f3931,definition,
( spl25_91
<=> ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK9)
| ~ ssList(X1)
| ~ memberP(X0,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl25_91])],[avatar_definition]) ).
fof(f3932,plain,
( ! [X0,X1] :
( ~ totalorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK9)
| ~ ssList(X1)
| ~ memberP(X0,sK6) )
| ~ spl25_91 ),
inference(avatar_component_clause,[],[f3931]) ).
fof(f3933,plain,
( spl25_91
| ~ spl25_2
| ~ spl25_4
| ~ spl25_90 ),
inference(avatar_split_clause,[],[f3928,f3900,f330,f284,f3931]) ).
fof(f3957,plain,
( ~ totalorderedP(sK2)
| ~ ssList(app(sK7,cons(sK6,nil)))
| ~ memberP(sK8,sK9)
| ~ ssList(sK8)
| ~ memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ spl25_1
| ~ spl25_91 ),
inference(superposition,[],[f3932,f244]) ).
fof(f3969,plain,
( ~ ssList(app(sK7,cons(sK6,nil)))
| ~ memberP(sK8,sK9)
| ~ ssList(sK8)
| ~ memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ spl25_1
| ~ spl25_10
| ~ spl25_91 ),
inference(forward_subsumption_resolution,[],[f3957,f606]) ).
fof(f3987,plain,
( ~ memberP(sK8,sK9)
| ~ ssList(sK8)
| ~ memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ spl25_1
| ~ spl25_10
| ~ spl25_50
| ~ spl25_91 ),
inference(forward_subsumption_resolution,[],[f3969,f2101]) ).
fof(f3994,plain,
( ~ ssList(sK8)
| ~ memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ spl25_1
| ~ spl25_10
| ~ spl25_13
| ~ spl25_50
| ~ spl25_91 ),
inference(forward_subsumption_resolution,[],[f3987,f678]) ).
fof(f3998,plain,
( ~ memberP(app(sK7,cons(sK6,nil)),sK6)
| ~ spl25_1
| ~ spl25_10
| ~ spl25_11
| ~ spl25_13
| ~ spl25_50
| ~ spl25_91 ),
inference(forward_subsumption_resolution,[],[f3994,f611]) ).
fof(f4000,plain,
( $false
| ~ spl25_1
| ~ spl25_2
| ~ spl25_10
| ~ spl25_11
| ~ spl25_13
| ~ spl25_17
| ~ spl25_50
| ~ spl25_91 ),
inference(forward_subsumption_resolution,[],[f3998,f2678]) ).
fof(f4001,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_10
| ~ spl25_11
| ~ spl25_13
| ~ spl25_17
| ~ spl25_50
| ~ spl25_91 ),
inference(avatar_contradiction_clause,[],[f4000]) ).
cnf(s1,plain,
spl25_1,
inference(sat_conversion,[],[f245]) ).
cnf(s2,plain,
spl25_2,
inference(sat_conversion,[],[f287]) ).
cnf(s4,plain,
spl25_4,
inference(sat_conversion,[],[f333]) ).
cnf(s6,plain,
( ~ spl25_6
| ~ spl25_7 ),
inference(sat_conversion,[],[f435]) ).
cnf(s8,plain,
spl25_9,
inference(sat_conversion,[],[f487]) ).
cnf(s9,plain,
spl25_10,
inference(sat_conversion,[],[f607]) ).
cnf(s10,plain,
spl25_11,
inference(sat_conversion,[],[f612]) ).
cnf(s11,plain,
( ~ spl25_6
| spl25_12 ),
inference(sat_conversion,[],[f674]) ).
cnf(s12,plain,
( ~ spl25_7
| spl25_13 ),
inference(sat_conversion,[],[f679]) ).
cnf(s13,plain,
( ~ spl25_2
| ~ spl25_4
| spl25_7
| spl25_14 ),
inference(sat_conversion,[],[f689]) ).
cnf(s14,plain,
( ~ spl25_1
| ~ spl25_15
| spl25_16 ),
inference(sat_conversion,[],[f716]) ).
cnf(s15,plain,
( ~ spl25_2
| spl25_15 ),
inference(sat_conversion,[],[f736]) ).
cnf(s16,plain,
spl25_17,
inference(sat_conversion,[],[f775]) ).
cnf(s20,plain,
( ~ spl25_2
| ~ spl25_4
| spl25_6
| spl25_21 ),
inference(sat_conversion,[],[f874]) ).
cnf(s23,plain,
( ~ spl25_2
| ~ spl25_11
| ~ spl25_16
| spl25_24 ),
inference(sat_conversion,[],[f937]) ).
cnf(s24,plain,
( spl25_12
| spl25_13 ),
inference(sat_conversion,[],[f982]) ).
cnf(s53,plain,
( ~ spl25_15
| ~ spl25_17
| spl25_50 ),
inference(sat_conversion,[],[f2119]) ).
cnf(s57,plain,
( ~ spl25_4
| ~ spl25_12
| ~ spl25_17
| spl25_52 ),
inference(sat_conversion,[],[f2301]) ).
cnf(s58,plain,
( ~ spl25_4
| ~ spl25_12
| ~ spl25_14
| ~ spl25_17
| ~ spl25_52
| spl25_53 ),
inference(sat_conversion,[],[f2348]) ).
cnf(s59,plain,
( ~ spl25_9
| ~ spl25_10
| ~ spl25_11
| ~ spl25_24
| ~ spl25_53 ),
inference(sat_conversion,[],[f2372]) ).
cnf(s89,plain,
( ~ spl25_2
| ~ spl25_21
| spl25_81 ),
inference(sat_conversion,[],[f3638]) ).
cnf(s96,plain,
( ~ spl25_4
| ~ spl25_81
| spl25_89 ),
inference(sat_conversion,[],[f3843]) ).
cnf(s97,plain,
( ~ spl25_4
| ~ spl25_89
| spl25_90 ),
inference(sat_conversion,[],[f3902]) ).
cnf(s98,plain,
( ~ spl25_2
| ~ spl25_4
| ~ spl25_90
| spl25_91 ),
inference(sat_conversion,[],[f3933]) ).
cnf(s99,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_10
| ~ spl25_11
| ~ spl25_13
| ~ spl25_17
| ~ spl25_50
| ~ spl25_91 ),
inference(sat_conversion,[],[f4001]) ).
cnf(s120,plain,
spl25_15,
inference(rat,[],[s15,s2]) ).
cnf(s123,plain,
spl25_50,
inference(rat,[],[s53,s16,s120]) ).
cnf(s127,plain,
spl25_16,
inference(rat,[],[s14,s120,s1]) ).
cnf(s133,plain,
spl25_24,
inference(rat,[],[s23,s2,s10,s127]) ).
cnf(s139,plain,
~ spl25_53,
inference(rat,[],[s59,s8,s9,s10,s133]) ).
cnf(s143,plain,
spl25_13,
inference(rat,[],[s58,s13,s57,s12,s24,s4,s16,s139,s2]) ).
cnf(s149,plain,
~ spl25_91,
inference(rat,[],[s99,s1,s123,s16,s2,s10,s9,s143]) ).
cnf(s151,plain,
~ spl25_90,
inference(rat,[],[s98,s2,s4,s149]) ).
cnf(s153,plain,
~ spl25_89,
inference(rat,[],[s97,s4,s151]) ).
cnf(s154,plain,
~ spl25_81,
inference(rat,[],[s96,s4,s153]) ).
cnf(s155,plain,
~ spl25_21,
inference(rat,[],[s89,s2,s154]) ).
cnf(s156,plain,
spl25_6,
inference(rat,[],[s20,s2,s4,s155]) ).
cnf(s157,plain,
spl25_12,
inference(rat,[],[s11,s156]) ).
cnf(s158,plain,
~ spl25_7,
inference(rat,[],[s6,s156]) ).
cnf(s159,plain,
spl25_52,
inference(rat,[],[s57,s4,s16,s157]) ).
cnf(s160,plain,
spl25_14,
inference(rat,[],[s13,s2,s4,s158]) ).
cnf(s162,plain,
$false,
inference(rat,[],[s58,s139,s157,s16,s4,s159,s160]) ).
fof(f4003,plain,
$false,
inference(avatar_sat_refutation,[],[s162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC282+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 08:53:27 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.91/2.14 % (1440958)Detected formulas, will run a generic FOF schedule.
% 5.91/2.14 % (1440967)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3699821716:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.91/2.14 % (1440965)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=3942719700:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.91/2.14 % (1440966)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2717788061:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.91/2.14 % (1440963)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=1447097097:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.91/2.14 % (1440964)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=3646641725:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.91/2.14 % (1440967)Instruction limit reached!
% 5.91/2.14 % (1440967)------------------------------
% 5.91/2.14 % (1440967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440967)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440967)Termination reason: Instruction limit
% 5.91/2.14 % (1440967)Termination phase: Saturation
% 5.91/2.14 % (1440967)Time elapsed: 0.038 s
% 5.91/2.14 % (1440967)Peak memory usage: 88 MB
% 5.91/2.14 % (1440967)Instructions burned: 120 (million)
% 5.91/2.14 % (1440968)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2230893731:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.91/2.14 % (1440969)dis-21_1_sil=8000:lcm=predicate:random_seed=3060896497: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)
% 5.91/2.14 % (1440966)Instruction limit reached!
% 5.91/2.14 % (1440966)------------------------------
% 5.91/2.14 % (1440966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440966)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440966)Termination reason: Instruction limit
% 5.91/2.14 % (1440966)Termination phase: Saturation
% 5.91/2.14 % (1440966)Time elapsed: 0.072 s
% 5.91/2.14 % (1440966)Peak memory usage: 89 MB
% 5.91/2.14 % (1440966)Instructions burned: 110 (million)
% 5.91/2.14 % (1440969)Instruction limit reached!
% 5.91/2.14 % (1440969)------------------------------
% 5.91/2.14 % (1440969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440969)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440969)Termination reason: Instruction limit
% 5.91/2.14 % (1440969)Termination phase: Saturation
% 5.91/2.14 % (1440969)Time elapsed: 0.069 s
% 5.91/2.14 % (1440969)Peak memory usage: 91 MB
% 5.91/2.14 % (1440969)Instructions burned: 129 (million)
% 5.91/2.14 % (1440977)lrs+10_1_sil=8000:sp=occurrence:random_seed=274056071:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.91/2.14 % (1440968)Instruction limit reached!
% 5.91/2.14 % (1440968)------------------------------
% 5.91/2.14 % (1440968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440968)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440968)Termination reason: Instruction limit
% 5.91/2.14 % (1440968)Termination phase: Saturation
% 5.91/2.14 % (1440968)Time elapsed: 0.093 s
% 5.91/2.14 % (1440968)Peak memory usage: 90 MB
% 5.91/2.14 % (1440968)Instructions burned: 139 (million)
% 5.91/2.14 % (1440977)Instruction limit reached!
% 5.91/2.14 % (1440977)------------------------------
% 5.91/2.14 % (1440977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440977)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440977)Termination reason: Instruction limit
% 5.91/2.14 % (1440977)Termination phase: Saturation
% 5.91/2.14 % (1440977)Time elapsed: 0.090 s
% 5.91/2.14 % (1440977)Peak memory usage: 93 MB
% 5.91/2.14 % (1440977)Instructions burned: 287 (million)
% 5.91/2.14 % (1440979)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2586904695:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.91/2.14 % (1440978)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2672858904:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.91/2.14 % (1440981)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=1149115161:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.91/2.14 % (1440978)Instruction limit reached!
% 5.91/2.14 % (1440978)------------------------------
% 5.91/2.14 % (1440978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440978)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440978)Termination reason: Instruction limit
% 5.91/2.14 % (1440978)Termination phase: Saturation
% 5.91/2.14 % (1440978)Time elapsed: 0.084 s
% 5.91/2.14 % (1440978)Peak memory usage: 94 MB
% 5.91/2.14 % (1440978)Instructions burned: 158 (million)
% 5.91/2.14 % (1440982)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3285428334:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.91/2.14 % (1440981)Instruction limit reached!
% 5.91/2.14 % (1440981)------------------------------
% 5.91/2.14 % (1440981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440981)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440981)Termination reason: Instruction limit
% 5.91/2.14 % (1440981)Termination phase: Saturation
% 5.91/2.14 % (1440981)Time elapsed: 0.124 s
% 5.91/2.14 % (1440981)Peak memory usage: 96 MB
% 5.91/2.14 % (1440981)Instructions burned: 248 (million)
% 5.91/2.14 % (1440982)Instruction limit reached!
% 5.91/2.14 % (1440982)------------------------------
% 5.91/2.14 % (1440982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440982)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440982)Termination reason: Instruction limit
% 5.91/2.14 % (1440982)Termination phase: Saturation
% 5.91/2.14 % (1440982)Time elapsed: 0.093 s
% 5.91/2.14 % (1440982)Peak memory usage: 90 MB
% 5.91/2.14 % (1440982)Instructions burned: 295 (million)
% 5.91/2.14 % (1440979)Instruction limit reached!
% 5.91/2.14 % (1440979)------------------------------
% 5.91/2.14 % (1440979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440979)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440979)Termination reason: Instruction limit
% 5.91/2.14 % (1440979)Termination phase: Saturation
% 5.91/2.14 % (1440979)Time elapsed: 0.201 s
% 5.91/2.14 % (1440979)Peak memory usage: 92 MB
% 5.91/2.14 % (1440979)Instructions burned: 325 (million)
% 5.91/2.14 % (1440987)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=364145606:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.91/2.14 % (1440988)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1775505769:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.91/2.14 % (1440989)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1635117583:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.91/2.14 % (1440990)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1706072528:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.91/2.14 % (1440989)Instruction limit reached!
% 5.91/2.14 % (1440989)------------------------------
% 5.91/2.14 % (1440989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440989)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440989)Termination reason: Instruction limit
% 5.91/2.14 % (1440989)Termination phase: Saturation
% 5.91/2.14 % (1440989)Time elapsed: 0.064 s
% 5.91/2.14 % (1440989)Peak memory usage: 90 MB
% 5.91/2.14 % (1440989)Instructions burned: 128 (million)
% 5.91/2.14 % (1440988)Instruction limit reached!
% 5.91/2.14 % (1440988)------------------------------
% 5.91/2.14 % (1440988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440988)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440988)Termination reason: Instruction limit
% 5.91/2.14 % (1440988)Termination phase: Saturation
% 5.91/2.14 % (1440988)Time elapsed: 0.072 s
% 5.91/2.14 % (1440988)Peak memory usage: 91 MB
% 5.91/2.14 % (1440988)Instructions burned: 114 (million)
% 5.91/2.14 % (1440990)Instruction limit reached!
% 5.91/2.14 % (1440990)------------------------------
% 5.91/2.14 % (1440990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440990)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440990)Termination reason: Instruction limit
% 5.91/2.14 % (1440990)Termination phase: Saturation
% 5.91/2.14 % (1440990)Time elapsed: 0.067 s
% 5.91/2.14 % (1440990)Peak memory usage: 89 MB
% 5.91/2.14 % (1440990)Instructions burned: 115 (million)
% 5.91/2.14 % (1440995)lrs+10_1_sil=8000:sp=occurrence:random_seed=325468102:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.91/2.14 % (1440996)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=262669620:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.91/2.14 % (1440997)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1542893351:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.91/2.14 % (1440996)Instruction limit reached!
% 5.91/2.14 % (1440996)------------------------------
% 5.91/2.14 % (1440996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440996)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440996)Termination reason: Instruction limit
% 5.91/2.14 % (1440996)Termination phase: Saturation
% 5.91/2.14 % (1440996)Time elapsed: 0.256 s
% 5.91/2.14 % (1440996)Peak memory usage: 93 MB
% 5.91/2.14 % (1440996)Instructions burned: 437 (million)
% 5.91/2.14 % (1440965)First to succeed.
% 5.91/2.14 % (1440965)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1440958"
% 5.91/2.14 % (1441001)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=552173464:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 5.91/2.14 % (1441001)Instruction limit reached!
% 5.91/2.14 % (1441001)------------------------------
% 5.91/2.14 % (1441001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1441001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1441001)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1441001)Termination reason: Instruction limit
% 5.91/2.14 % (1441001)Termination phase: Saturation
% 5.91/2.14 % (1441001)Time elapsed: 0.062 s
% 5.91/2.14 % (1441001)Peak memory usage: 90 MB
% 5.91/2.14 % (1441001)Instructions burned: 135 (million)
% 5.91/2.14 % (1440995)Instruction limit reached!
% 5.91/2.14 % (1440995)------------------------------
% 5.91/2.14 % (1440995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/2.14 % (1440995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/2.14 % (1440995)CaDiCaL version: 2.1.3
% 5.91/2.14 % (1440995)Termination reason: Instruction limit
% 5.91/2.14 % (1440995)Termination phase: Saturation
% 5.91/2.14 % (1440995)Time elapsed: 0.482 s
% 5.91/2.14 % (1440995)Peak memory usage: 101 MB
% 5.91/2.14 % (1440995)Instructions burned: 908 (million)
% 5.91/2.14 % (1441003)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2330796194:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 5.91/2.14 % (1441004)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2663249895:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 5.91/2.14 % (1440965)Refutation found. Thanks to Tanya!
% 5.91/2.14 % SZS status Theorem for theBenchmark
% 5.91/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 11.04/2.33 % (1440965)------------------------------
% 11.04/2.33 % (1440965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.04/2.33 % (1440965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.04/2.33 % (1440965)CaDiCaL version: 2.1.3
% 11.04/2.33 % (1440965)Termination reason: Refutation
% 11.04/2.33 % (1440965)Time elapsed: 1.061 s
% 11.04/2.33 % (1440965)Peak memory usage: 136 MB
% 11.04/2.33 % (1440965)Instructions burned: 1649 (million)
% 11.04/2.33 % (1440965)------------------------------
% 11.04/2.33 % (1440965)------------------------------
% 11.04/2.33 % (1440958)Success in time 1.474 s
% 11.04/2.33 % Vampire exiting
%------------------------------------------------------------------------------