%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC297+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 : n001.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 01:03:20 PM UTC 2026
% Result : Theorem 6.78s 1.90s
% Output : Refutation 9.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 35
% Syntax : Number of formulae : 285 ( 41 unt; 20 def)
% Number of atoms : 1117 ( 177 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 1495 ( 663 ~; 676 |; 85 &)
% ( 26 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 17 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 193 ( 0 sgn 167 !; 26 ?)
% 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(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
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(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
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(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) ) ) ) ) ) )
| ( nil != X2
& nil = X3 )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8) ) )
& neq(X3,nil) ) ) ) ) ) ),
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] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) ) ) ) ) ) )
| ( nil != X2
& nil = X3 )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8) ) )
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,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(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f146,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(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ssItem(X8) )
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ssItem(X8) )
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f234,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,[],[f99]) ).
fof(f235,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,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK8(X0,X1))
& ssList(sK9(X0,X1))
& app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f277,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,[],[f146]) ).
fof(f278,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,[],[f277]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f279]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f292]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& sK53 = app(app(sK58,cons(sK57,nil)),sK59)
& ( ( memberP(sK58,sK60)
& ~ lt(sK60,sK57) )
| ( memberP(sK59,sK60)
& ~ lt(sK57,sK60) ) )
& ssItem(sK60)
& ssList(sK59)
& ssList(sK58)
& ssItem(sK57)
& ( nil = sK55
| nil != sK56 )
& ( ( sK55 = cons(sK61,nil)
& memberP(sK56,sK61)
& ssItem(sK61) )
| ~ neq(sK56,nil) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60),skolemize(X8,sK61)],[f222]) ).
fof(f305,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,[],[f236]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f396,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f399,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f414,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f415,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f480,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f482,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f484,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ssItem(sK61)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( sK55 = cons(sK61,nil)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( nil = sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
ssList(sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
ssItem(sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
( memberP(sK58,sK60)
| memberP(sK59,sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f512,plain,
sK53 = app(app(sK58,cons(sK57,nil)),sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f513,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f514,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f515,plain,
sK55 = app(app(sK58,cons(sK57,nil)),sK59),
inference(definition_unfolding,[],[f512,f513]) ).
fof(f516,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f514]) ).
fof(f519,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,[],[f305]) ).
fof(f545,definition,
sF62 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
fof(f546,plain,
cons(sK57,nil) = sF62,
inference(reorient_equations,[],[f545]) ).
fof(f547,definition,
sF63 = app(sK58,sF62),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f548,plain,
app(sK58,sF62) = sF63,
inference(reorient_equations,[],[f547]) ).
fof(f549,definition,
sF64 = app(sF63,sK59),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
fof(f550,plain,
app(sF63,sK59) = sF64,
inference(reorient_equations,[],[f549]) ).
fof(f551,plain,
sK55 = sF64,
inference(definition_folding,[],[f515,f550,f548,f546]) ).
fof(f552,definition,
sF65 = cons(sK61,nil),
introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).
fof(f553,plain,
cons(sK61,nil) = sF65,
inference(reorient_equations,[],[f552]) ).
fof(f554,plain,
( sK55 = sF65
| ~ neq(sK56,nil) ),
inference(definition_folding,[],[f502,f553]) ).
fof(f563,definition,
( spl66_1
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl66_1])],[avatar_definition]) ).
fof(f565,plain,
( ~ neq(sK56,nil)
| spl66_1 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl66_2
<=> ssItem(sK61) ),
introduced(definition,[new_symbols(definition,[spl66_2])],[avatar_definition]) ).
fof(f569,plain,
( ssItem(sK61)
| ~ spl66_2 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f570,plain,
( ~ spl66_1
| spl66_2 ),
inference(avatar_split_clause,[],[f500,f567,f563]) ).
fof(f577,definition,
( spl66_4
<=> sK55 = sF65 ),
introduced(definition,[new_symbols(definition,[spl66_4])],[avatar_definition]) ).
fof(f579,plain,
( sK55 = sF65
| ~ spl66_4 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f580,plain,
( ~ spl66_1
| spl66_4 ),
inference(avatar_split_clause,[],[f554,f577,f563]) ).
fof(f582,definition,
( spl66_5
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl66_5])],[avatar_definition]) ).
fof(f584,plain,
( nil != sK56
| spl66_5 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f586,definition,
( spl66_6
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl66_6])],[avatar_definition]) ).
fof(f588,plain,
( nil = sK55
| ~ spl66_6 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f589,plain,
( ~ spl66_5
| spl66_6 ),
inference(avatar_split_clause,[],[f503,f586,f582]) ).
fof(f600,definition,
( spl66_9
<=> memberP(sK59,sK60) ),
introduced(definition,[new_symbols(definition,[spl66_9])],[avatar_definition]) ).
fof(f601,plain,
( ~ memberP(sK59,sK60)
| spl66_9 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f602,plain,
( memberP(sK59,sK60)
| ~ spl66_9 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f605,definition,
( spl66_10
<=> memberP(sK58,sK60) ),
introduced(definition,[new_symbols(definition,[spl66_10])],[avatar_definition]) ).
fof(f607,plain,
( memberP(sK58,sK60)
| ~ spl66_10 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f609,plain,
( spl66_9
| spl66_10 ),
inference(avatar_split_clause,[],[f511,f605,f600]) ).
fof(f611,definition,
( spl66_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl66_11])],[avatar_definition]) ).
fof(f612,plain,
( ssList(nil)
| ~ spl66_11 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f639,plain,
spl66_11,
inference(avatar_split_clause,[],[f389,f611]) ).
fof(f642,plain,
sK55 = app(sF63,sK59),
inference(forward_demodulation,[],[f550,f551]) ).
fof(f643,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl66_1 ),
inference(resolution,[],[f387,f565]) ).
fof(f644,plain,
( ~ ssList(nil)
| ~ ssList(sK56)
| spl66_1
| spl66_5 ),
inference(forward_subsumption_resolution,[],[f643,f584]) ).
fof(f645,plain,
( ~ ssList(sK56)
| spl66_1
| spl66_5
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f644,f612]) ).
fof(f646,plain,
( $false
| spl66_1
| spl66_5
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f645,f516]) ).
fof(f647,plain,
( spl66_1
| spl66_5
| ~ spl66_11 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f649,plain,
! [X0] :
( memberP(app(X0,sF62),sK57)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(X0,sF62)) ),
inference(superposition,[],[f519,f546]) ).
fof(f652,plain,
( ! [X0] :
( memberP(app(X0,sF62),sK57)
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssList(app(X0,sF62)) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f649,f612]) ).
fof(f657,plain,
( ! [X0] :
( memberP(app(X0,sF62),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,sF62)) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f652,f504]) ).
fof(f658,plain,
! [X0] :
( ~ memberP(sF62,X0)
| memberP(nil,X0)
| sK57 = X0
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssItem(X0) ),
inference(superposition,[],[f416,f546]) ).
fof(f659,plain,
! [X0] :
( ~ memberP(sF65,X0)
| memberP(nil,X0)
| sK61 = X0
| ~ ssList(nil)
| ~ ssItem(sK61)
| ~ ssItem(X0) ),
inference(superposition,[],[f416,f553]) ).
fof(f660,plain,
( ! [X0] :
( ~ memberP(sF62,X0)
| memberP(nil,X0)
| sK57 = X0
| ~ ssItem(sK57)
| ~ ssItem(X0) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f658,f612]) ).
fof(f661,plain,
( ! [X0] :
( ~ memberP(sF62,X0)
| memberP(nil,X0)
| sK57 = X0
| ~ ssItem(X0) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f660,f504]) ).
fof(f662,plain,
( ! [X0] :
( ~ memberP(sF62,X0)
| sK57 = X0
| ~ ssItem(X0) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f661,f419]) ).
fof(f665,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(sF63)
| ~ ssItem(X0) ),
inference(superposition,[],[f414,f642]) ).
fof(f666,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sK59,X0)
| ~ ssList(sF63)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f665,f506]) ).
fof(f668,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ memberP(sK59,X0)
| ~ ssList(sF63)
| ~ ssItem(X0) )
| ~ spl66_6 ),
inference(forward_demodulation,[],[f666,f588]) ).
fof(f670,definition,
( spl66_18
<=> ssList(sF62) ),
introduced(definition,[new_symbols(definition,[spl66_18])],[avatar_definition]) ).
fof(f671,plain,
( ssList(sF62)
| ~ spl66_18 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f672,plain,
( ~ ssList(sF62)
| spl66_18 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f677,plain,
( ! [X0] :
( ~ memberP(sK59,X0)
| ~ ssList(sF63)
| ~ ssItem(X0) )
| ~ spl66_6 ),
inference(forward_subsumption_resolution,[],[f668,f419]) ).
fof(f679,definition,
( spl66_20
<=> ssList(sF63) ),
introduced(definition,[new_symbols(definition,[spl66_20])],[avatar_definition]) ).
fof(f680,plain,
( ssList(sF63)
| ~ spl66_20 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( ~ ssList(sF63)
| spl66_20 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f683,definition,
( spl66_21
<=> ! [X0] :
( ~ memberP(sK59,X0)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl66_21])],[avatar_definition]) ).
fof(f684,plain,
( ! [X0] :
( ~ memberP(sK59,X0)
| ~ ssItem(X0) )
| ~ spl66_21 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f685,plain,
( ~ spl66_20
| spl66_21
| ~ spl66_6 ),
inference(avatar_split_clause,[],[f677,f586,f683,f679]) ).
fof(f686,plain,
( nil != sF62
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f546]) ).
fof(f688,plain,
( nil != sF62
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f686,f504]) ).
fof(f689,plain,
( nil != sF62
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f688,f612]) ).
fof(f690,plain,
! [X0] :
( memberP(sF63,X0)
| ~ memberP(sK58,X0)
| ~ ssList(sF62)
| ~ ssList(sK58)
| ~ ssItem(X0) ),
inference(superposition,[],[f415,f548]) ).
fof(f691,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sF63,X0)
| ~ ssList(sK59)
| ~ ssList(sF63)
| ~ ssItem(X0) ),
inference(superposition,[],[f415,f642]) ).
fof(f693,plain,
( ssList(sF62)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f546]) ).
fof(f695,plain,
( ~ ssItem(sK57)
| ~ ssList(nil)
| spl66_18 ),
inference(forward_subsumption_resolution,[],[f693,f672]) ).
fof(f696,plain,
( ~ ssList(nil)
| spl66_18 ),
inference(forward_subsumption_resolution,[],[f695,f504]) ).
fof(f697,plain,
( $false
| ~ spl66_11
| spl66_18 ),
inference(forward_subsumption_resolution,[],[f696,f612]) ).
fof(f698,plain,
( ~ spl66_11
| spl66_18 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f699,plain,
( ! [X0] :
( memberP(sF63,X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK58)
| ~ ssItem(X0) )
| ~ spl66_18 ),
inference(forward_subsumption_resolution,[],[f690,f671]) ).
fof(f700,plain,
( ! [X0] :
( ~ memberP(sK58,X0)
| memberP(sF63,X0)
| ~ ssItem(X0) )
| ~ spl66_18 ),
inference(forward_subsumption_resolution,[],[f699,f505]) ).
fof(f717,plain,
( ssList(sF63)
| ~ ssList(sF62)
| ~ ssList(sK58) ),
inference(superposition,[],[f401,f548]) ).
fof(f719,plain,
( ~ ssList(sF62)
| ~ ssList(sK58)
| spl66_20 ),
inference(forward_subsumption_resolution,[],[f717,f681]) ).
fof(f720,plain,
( ~ ssList(sK58)
| ~ spl66_18
| spl66_20 ),
inference(forward_subsumption_resolution,[],[f719,f671]) ).
fof(f721,plain,
( $false
| ~ spl66_18
| spl66_20 ),
inference(forward_subsumption_resolution,[],[f720,f505]) ).
fof(f722,plain,
( ~ spl66_18
| spl66_20 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f723,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sF63,X0)
| ~ ssList(sF63)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f691,f506]) ).
fof(f724,plain,
( ! [X0] :
( ~ memberP(sF63,X0)
| memberP(sK55,X0)
| ~ ssItem(X0) )
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f723,f680]) ).
fof(f725,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ memberP(sF63,X0)
| ~ ssItem(X0) )
| ~ spl66_6
| ~ spl66_20 ),
inference(forward_demodulation,[],[f724,f588]) ).
fof(f726,plain,
( ! [X0] :
( ~ memberP(sF63,X0)
| ~ ssItem(X0) )
| ~ spl66_6
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f725,f419]) ).
fof(f727,plain,
( ~ ssItem(sK60)
| ~ spl66_9
| ~ spl66_21 ),
inference(resolution,[],[f684,f602]) ).
fof(f728,plain,
( $false
| ~ spl66_9
| ~ spl66_21 ),
inference(forward_subsumption_resolution,[],[f727,f507]) ).
fof(f729,plain,
( ~ spl66_9
| ~ spl66_21 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f730,plain,
( memberP(sF63,sK60)
| ~ ssItem(sK60)
| ~ spl66_10
| ~ spl66_18 ),
inference(resolution,[],[f607,f700]) ).
fof(f731,plain,
( ~ ssItem(sK60)
| ~ spl66_6
| ~ spl66_10
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f730,f726]) ).
fof(f732,plain,
( $false
| ~ spl66_6
| ~ spl66_10
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f731,f507]) ).
fof(f733,plain,
( ~ spl66_6
| ~ spl66_10
| ~ spl66_18
| ~ spl66_20 ),
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f736,plain,
( ! [X0] :
( ~ memberP(sF65,X0)
| memberP(nil,X0)
| sK61 = X0
| ~ ssItem(sK61)
| ~ ssItem(X0) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f659,f612]) ).
fof(f740,plain,
( ! [X0] :
( ~ memberP(sF65,X0)
| memberP(nil,X0)
| sK61 = X0
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f736,f569]) ).
fof(f743,plain,
( ! [X0] :
( ~ memberP(sF65,X0)
| sK61 = X0
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f740,f419]) ).
fof(f746,plain,
( ! [X0] :
( ~ memberP(sK55,X0)
| sK61 = X0
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11 ),
inference(forward_demodulation,[],[f743,f579]) ).
fof(f747,plain,
( sF63 = app(sF63,nil)
| ~ spl66_20 ),
inference(resolution,[],[f680,f482]) ).
fof(f767,plain,
( nil != sF63
| nil = sF62
| ~ ssList(sF62)
| ~ ssList(sK58) ),
inference(superposition,[],[f480,f548]) ).
fof(f769,plain,
( nil != sF63
| ~ ssList(sF62)
| ~ ssList(sK58)
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f767,f689]) ).
fof(f770,plain,
( nil != sF63
| ~ ssList(sK58)
| ~ spl66_11
| ~ spl66_18 ),
inference(forward_subsumption_resolution,[],[f769,f671]) ).
fof(f771,plain,
( nil != sF63
| ~ spl66_11
| ~ spl66_18 ),
inference(forward_subsumption_resolution,[],[f770,f505]) ).
fof(f776,plain,
( memberP(sF63,sK57)
| ~ ssList(sK58)
| ~ ssList(sF63)
| ~ spl66_11 ),
inference(superposition,[],[f657,f548]) ).
fof(f777,plain,
( memberP(sF63,sK57)
| ~ ssList(sF63)
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f776,f505]) ).
fof(f778,plain,
( memberP(sF63,sK57)
| ~ spl66_11
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f777,f680]) ).
fof(f779,plain,
( memberP(sK55,sK57)
| ~ ssItem(sK57)
| ~ spl66_11
| ~ spl66_20 ),
inference(resolution,[],[f778,f724]) ).
fof(f780,plain,
( memberP(sK55,sK57)
| ~ spl66_11
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f779,f504]) ).
fof(f782,plain,
( sK57 = sK61
| ~ ssItem(sK57)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_20 ),
inference(resolution,[],[f780,f746]) ).
fof(f783,plain,
( sK57 = sK61
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f782,f504]) ).
fof(f960,definition,
( spl66_27
<=> nil = sK59 ),
introduced(definition,[new_symbols(definition,[spl66_27])],[avatar_definition]) ).
fof(f961,plain,
( nil = sK59
| ~ spl66_27 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f962,plain,
( nil != sK59
| spl66_27 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f1091,definition,
( spl66_33
<=> nil = sK58 ),
introduced(definition,[new_symbols(definition,[spl66_33])],[avatar_definition]) ).
fof(f1092,plain,
( nil != sK58
| spl66_33 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1093,plain,
( nil = sK58
| ~ spl66_33 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1103,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl66_11 ),
inference(resolution,[],[f400,f612]) ).
fof(f1114,plain,
( nil = tl(cons(sK57,nil))
| ~ spl66_11 ),
inference(resolution,[],[f1103,f504]) ).
fof(f1116,plain,
( nil = tl(cons(sK61,nil))
| ~ spl66_2
| ~ spl66_11 ),
inference(resolution,[],[f1103,f569]) ).
fof(f1117,plain,
( nil = tl(sF65)
| ~ spl66_2
| ~ spl66_11 ),
inference(forward_demodulation,[],[f1116,f553]) ).
fof(f1119,plain,
( nil = tl(sF62)
| ~ spl66_11 ),
inference(forward_demodulation,[],[f1114,f546]) ).
fof(f1120,plain,
( nil = tl(sK55)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11 ),
inference(forward_demodulation,[],[f1117,f579]) ).
fof(f1132,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK59)) = app(tl(X0),sK59)
| nil = X0 ),
inference(resolution,[],[f484,f506]) ).
fof(f1133,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sF62)) = app(tl(X0),sF62)
| nil = X0 )
| ~ spl66_18 ),
inference(resolution,[],[f484,f671]) ).
fof(f1144,plain,
( tl(app(sK58,sF62)) = app(tl(sK58),sF62)
| nil = sK58
| ~ spl66_18 ),
inference(resolution,[],[f1133,f505]) ).
fof(f1151,plain,
( app(tl(sK58),sF62) = tl(sF63)
| nil = sK58
| ~ spl66_18 ),
inference(forward_demodulation,[],[f1144,f548]) ).
fof(f1166,definition,
( spl66_37
<=> app(tl(sK58),sF62) = tl(sF63) ),
introduced(definition,[new_symbols(definition,[spl66_37])],[avatar_definition]) ).
fof(f1168,plain,
( app(tl(sK58),sF62) = tl(sF63)
| ~ spl66_37 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1169,plain,
( spl66_33
| spl66_37
| ~ spl66_18 ),
inference(avatar_split_clause,[],[f1151,f670,f1166,f1091]) ).
fof(f1298,plain,
( tl(app(sF63,sK59)) = app(tl(sF63),sK59)
| nil = sF63
| ~ spl66_20 ),
inference(resolution,[],[f1132,f680]) ).
fof(f1299,plain,
( tl(app(sF63,sK59)) = app(tl(sF63),sK59)
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f1298,f771]) ).
fof(f1340,plain,
( tl(sK55) = app(tl(sF63),sK59)
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_demodulation,[],[f1299,f642]) ).
fof(f1370,definition,
( spl66_40
<=> ssList(tl(sF63)) ),
introduced(definition,[new_symbols(definition,[spl66_40])],[avatar_definition]) ).
fof(f1371,plain,
( ssList(tl(sF63))
| ~ spl66_40 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1372,plain,
( ~ ssList(tl(sF63))
| spl66_40 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1384,plain,
( memberP(tl(sF63),sK57)
| ~ ssList(tl(sK58))
| ~ ssList(tl(sF63))
| ~ spl66_11
| ~ spl66_37 ),
inference(superposition,[],[f657,f1168]) ).
fof(f1396,definition,
( spl66_43
<=> ssList(tl(sK58)) ),
introduced(definition,[new_symbols(definition,[spl66_43])],[avatar_definition]) ).
fof(f1397,plain,
( ssList(tl(sK58))
| ~ spl66_43 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1398,plain,
( ~ ssList(tl(sK58))
| spl66_43 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1529,plain,
( nil = sF63
| ~ ssList(sF63)
| spl66_40 ),
inference(resolution,[],[f399,f1372]) ).
fof(f1530,plain,
( nil = sK58
| ~ ssList(sK58)
| spl66_43 ),
inference(resolution,[],[f399,f1398]) ).
fof(f1542,plain,
( ~ ssList(sK58)
| spl66_33
| spl66_43 ),
inference(forward_subsumption_resolution,[],[f1530,f1092]) ).
fof(f1543,plain,
( ~ ssList(sF63)
| ~ spl66_11
| ~ spl66_18
| spl66_40 ),
inference(forward_subsumption_resolution,[],[f1529,f771]) ).
fof(f1544,plain,
( $false
| spl66_33
| spl66_43 ),
inference(forward_subsumption_resolution,[],[f1542,f505]) ).
fof(f1545,plain,
( spl66_33
| spl66_43 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1546,plain,
( $false
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_40 ),
inference(forward_subsumption_resolution,[],[f1543,f680]) ).
fof(f1547,plain,
( ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_40 ),
inference(avatar_contradiction_clause,[],[f1546]) ).
fof(f1648,plain,
( memberP(sF63,sK60)
| ~ ssItem(sK60)
| ~ spl66_10
| ~ spl66_18 ),
inference(resolution,[],[f607,f700]) ).
fof(f1651,plain,
( memberP(sF63,sK60)
| ~ spl66_10
| ~ spl66_18 ),
inference(forward_subsumption_resolution,[],[f1648,f507]) ).
fof(f1657,plain,
( cons(sK57,nil) = sF65
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_20 ),
inference(superposition,[],[f553,f783]) ).
fof(f1658,plain,
( sK55 = cons(sK57,nil)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_20 ),
inference(forward_demodulation,[],[f1657,f579]) ).
fof(f1659,plain,
( sK55 = sF62
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_20 ),
inference(forward_demodulation,[],[f1658,f546]) ).
fof(f1670,plain,
( sK55 = app(sF63,nil)
| ~ spl66_27 ),
inference(superposition,[],[f642,f961]) ).
fof(f1674,plain,
( sK55 = sF63
| ~ spl66_20
| ~ spl66_27 ),
inference(forward_demodulation,[],[f1670,f747]) ).
fof(f1696,plain,
( memberP(nil,sK60)
| ~ spl66_10
| ~ spl66_33 ),
inference(superposition,[],[f607,f1093]) ).
fof(f1775,plain,
( ~ memberP(nil,sK60)
| spl66_9
| ~ spl66_27 ),
inference(superposition,[],[f601,f961]) ).
fof(f1776,plain,
( $false
| spl66_9
| ~ spl66_10
| ~ spl66_27
| ~ spl66_33 ),
inference(forward_subsumption_resolution,[],[f1775,f1696]) ).
fof(f1777,plain,
( spl66_9
| ~ spl66_10
| ~ spl66_27
| ~ spl66_33 ),
inference(avatar_contradiction_clause,[],[f1776]) ).
fof(f1779,plain,
( memberP(tl(sF63),sK57)
| ~ ssList(tl(sF63))
| ~ spl66_11
| ~ spl66_37
| ~ spl66_43 ),
inference(forward_subsumption_resolution,[],[f1384,f1397]) ).
fof(f1790,plain,
( sF62 = sF63
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_20
| ~ spl66_27 ),
inference(forward_demodulation,[],[f1674,f1659]) ).
fof(f1815,plain,
( memberP(tl(sF63),sK57)
| ~ spl66_11
| ~ spl66_37
| ~ spl66_40
| ~ spl66_43 ),
inference(forward_subsumption_resolution,[],[f1779,f1371]) ).
fof(f1824,plain,
( memberP(tl(sF62),sK57)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_20
| ~ spl66_27
| ~ spl66_37
| ~ spl66_40
| ~ spl66_43 ),
inference(forward_demodulation,[],[f1815,f1790]) ).
fof(f1831,plain,
( memberP(nil,sK57)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_20
| ~ spl66_27
| ~ spl66_37
| ~ spl66_40
| ~ spl66_43 ),
inference(forward_demodulation,[],[f1824,f1119]) ).
fof(f1836,plain,
( memberP(sK55,sK60)
| ~ ssItem(sK60)
| ~ spl66_10
| ~ spl66_18
| ~ spl66_20 ),
inference(resolution,[],[f1651,f724]) ).
fof(f1839,plain,
( memberP(sK55,sK60)
| ~ spl66_10
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f1836,f507]) ).
fof(f1841,plain,
( memberP(sF62,sK60)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_10
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_demodulation,[],[f1839,f1659]) ).
fof(f1844,plain,
( sK57 = sK60
| ~ ssItem(sK60)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_10
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(resolution,[],[f1841,f662]) ).
fof(f1846,plain,
( sK57 = sK60
| ~ spl66_2
| ~ spl66_4
| ~ spl66_10
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f1844,f507]) ).
fof(f1859,plain,
( memberP(nil,sK60)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_10
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| ~ spl66_27
| ~ spl66_37
| ~ spl66_40
| ~ spl66_43 ),
inference(superposition,[],[f1831,f1846]) ).
fof(f1860,plain,
( $false
| ~ spl66_2
| ~ spl66_4
| spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| ~ spl66_27
| ~ spl66_37
| ~ spl66_40
| ~ spl66_43 ),
inference(forward_subsumption_resolution,[],[f1859,f1775]) ).
fof(f1861,plain,
( ~ spl66_2
| ~ spl66_4
| spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| ~ spl66_27
| ~ spl66_37
| ~ spl66_40
| ~ spl66_43 ),
inference(avatar_contradiction_clause,[],[f1860]) ).
fof(f1872,plain,
( nil = app(tl(sF63),sK59)
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_demodulation,[],[f1340,f1120]) ).
fof(f1880,plain,
( nil != nil
| nil = sK59
| ~ ssList(sK59)
| ~ ssList(tl(sF63))
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(superposition,[],[f480,f1872]) ).
fof(f1883,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(tl(sF63))
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(superposition,[],[f414,f1872]) ).
fof(f1884,plain,
( nil = sK59
| ~ ssList(sK59)
| ~ ssList(tl(sF63))
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(trivial_inequality_removal,[],[f1880]) ).
fof(f1886,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ memberP(sK59,X0)
| ~ ssList(tl(sF63))
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20 ),
inference(forward_subsumption_resolution,[],[f1883,f506]) ).
fof(f1888,plain,
( ~ ssList(sK59)
| ~ ssList(tl(sF63))
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_27 ),
inference(forward_subsumption_resolution,[],[f1884,f962]) ).
fof(f1890,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ memberP(sK59,X0)
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| ~ spl66_40 ),
inference(forward_subsumption_resolution,[],[f1886,f1371]) ).
fof(f1892,plain,
( ~ ssList(tl(sF63))
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_27 ),
inference(forward_subsumption_resolution,[],[f1888,f506]) ).
fof(f1894,plain,
( ! [X0] :
( ~ memberP(sK59,X0)
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| ~ spl66_40 ),
inference(forward_subsumption_resolution,[],[f1890,f419]) ).
fof(f1896,plain,
( $false
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_27
| ~ spl66_40 ),
inference(forward_subsumption_resolution,[],[f1892,f1371]) ).
fof(f1897,plain,
( ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_27
| ~ spl66_40 ),
inference(avatar_contradiction_clause,[],[f1896]) ).
fof(f1900,plain,
( spl66_21
| ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| ~ spl66_40 ),
inference(avatar_split_clause,[],[f1894,f1370,f679,f670,f611,f577,f567,f683]) ).
cnf(s1,plain,
( ~ spl66_1
| spl66_2 ),
inference(sat_conversion,[],[f570]) ).
cnf(s3,plain,
( ~ spl66_1
| spl66_4 ),
inference(sat_conversion,[],[f580]) ).
cnf(s4,plain,
( ~ spl66_5
| spl66_6 ),
inference(sat_conversion,[],[f589]) ).
cnf(s8,plain,
( spl66_9
| spl66_10 ),
inference(sat_conversion,[],[f609]) ).
cnf(s16,plain,
spl66_11,
inference(sat_conversion,[],[f639]) ).
cnf(s17,plain,
( spl66_1
| spl66_5
| ~ spl66_11 ),
inference(sat_conversion,[],[f647]) ).
cnf(s20,plain,
( ~ spl66_6
| ~ spl66_20
| spl66_21 ),
inference(sat_conversion,[],[f685]) ).
cnf(s21,plain,
( ~ spl66_11
| spl66_18 ),
inference(sat_conversion,[],[f698]) ).
cnf(s22,plain,
( ~ spl66_18
| spl66_20 ),
inference(sat_conversion,[],[f722]) ).
cnf(s23,plain,
( ~ spl66_9
| ~ spl66_21 ),
inference(sat_conversion,[],[f729]) ).
cnf(s24,plain,
( ~ spl66_6
| ~ spl66_10
| ~ spl66_18
| ~ spl66_20 ),
inference(sat_conversion,[],[f733]) ).
cnf(s37,plain,
( ~ spl66_18
| spl66_33
| spl66_37 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s56,plain,
( spl66_33
| spl66_43 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s57,plain,
( ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_40 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s67,plain,
( spl66_9
| ~ spl66_10
| ~ spl66_27
| ~ spl66_33 ),
inference(sat_conversion,[],[f1777]) ).
cnf(s71,plain,
( ~ spl66_2
| ~ spl66_4
| spl66_9
| ~ spl66_10
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| ~ spl66_27
| ~ spl66_37
| ~ spl66_40
| ~ spl66_43 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s74,plain,
( ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_27
| ~ spl66_40 ),
inference(sat_conversion,[],[f1897]) ).
cnf(s76,plain,
( ~ spl66_2
| ~ spl66_4
| ~ spl66_11
| ~ spl66_18
| ~ spl66_20
| spl66_21
| ~ spl66_40 ),
inference(sat_conversion,[],[f1900]) ).
cnf(s78,plain,
spl66_18,
inference(rat,[],[s21,s16]) ).
cnf(s79,plain,
spl66_20,
inference(rat,[],[s22,s78]) ).
cnf(s81,plain,
spl66_40,
inference(rat,[],[s57,s78,s16,s79]) ).
cnf(s85,plain,
~ spl66_6,
inference(rat,[],[s23,s8,s20,s24,s79,s78]) ).
cnf(s86,plain,
~ spl66_5,
inference(rat,[],[s4,s85]) ).
cnf(s87,plain,
spl66_1,
inference(rat,[],[s17,s16,s86]) ).
cnf(s88,plain,
spl66_4,
inference(rat,[],[s3,s87]) ).
cnf(s90,plain,
spl66_2,
inference(rat,[],[s1,s87]) ).
cnf(s92,plain,
spl66_21,
inference(rat,[],[s76,s81,s88,s79,s78,s16,s90]) ).
cnf(s94,plain,
spl66_27,
inference(rat,[],[s74,s81,s88,s79,s78,s16,s90]) ).
cnf(s96,plain,
~ spl66_9,
inference(rat,[],[s23,s92]) ).
cnf(s97,plain,
spl66_10,
inference(rat,[],[s8,s96]) ).
cnf(s99,plain,
~ spl66_33,
inference(rat,[],[s67,s94,s96,s97]) ).
cnf(s100,plain,
spl66_43,
inference(rat,[],[s56,s99]) ).
cnf(s101,plain,
spl66_37,
inference(rat,[],[s37,s78,s99]) ).
cnf(s102,plain,
$false,
inference(rat,[],[s71,s97,s81,s96,s94,s79,s78,s16,s90,s88,s100,s101]) ).
fof(f1902,plain,
$false,
inference(avatar_sat_refutation,[],[s102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC297+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 : n001.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 09:01:32 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
% 6.78/1.89 % (231148)Detected formulas, will run a generic FOF schedule.
% 6.78/1.89 % (231157)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4245451680:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.78/1.89 % (231156)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3091104120:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.78/1.89 % (231154)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=1052205:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.78/1.89 % (231159)dis-21_1_sil=8000:lcm=predicate:random_seed=2007967051: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)
% 6.78/1.89 % (231153)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=2944930015:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.78/1.89 % (231155)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=2494829863:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.78/1.89 % (231157)Instruction limit reached!
% 6.78/1.89 % (231157)------------------------------
% 6.78/1.89 % (231157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231157)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231157)Termination reason: Instruction limit
% 6.78/1.89 % (231157)Termination phase: Saturation
% 6.78/1.89 % (231157)Time elapsed: 0.038 s
% 6.78/1.89 % (231157)Peak memory usage: 89 MB
% 6.78/1.89 % (231157)Instructions burned: 121 (million)
% 6.78/1.89 % (231158)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2156694218:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.78/1.89 % (231156)Instruction limit reached!
% 6.78/1.89 % (231156)------------------------------
% 6.78/1.89 % (231156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231156)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231156)Termination reason: Instruction limit
% 6.78/1.89 % (231156)Termination phase: Saturation
% 6.78/1.89 % (231156)Time elapsed: 0.070 s
% 6.78/1.89 % (231156)Peak memory usage: 89 MB
% 6.78/1.89 % (231156)Instructions burned: 110 (million)
% 6.78/1.89 % (231159)Instruction limit reached!
% 6.78/1.89 % (231159)------------------------------
% 6.78/1.89 % (231159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231159)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231159)Termination reason: Instruction limit
% 6.78/1.89 % (231159)Termination phase: Saturation
% 6.78/1.89 % (231159)Time elapsed: 0.073 s
% 6.78/1.89 % (231159)Peak memory usage: 90 MB
% 6.78/1.89 % (231159)Instructions burned: 130 (million)
% 6.78/1.89 % (231158)Instruction limit reached!
% 6.78/1.89 % (231158)------------------------------
% 6.78/1.89 % (231158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231158)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231158)Termination reason: Instruction limit
% 6.78/1.89 % (231158)Termination phase: Saturation
% 6.78/1.89 % (231158)Time elapsed: 0.098 s
% 6.78/1.89 % (231158)Peak memory usage: 90 MB
% 6.78/1.89 % (231158)Instructions burned: 140 (million)
% 6.78/1.89 % (231166)lrs+10_1_sil=8000:sp=occurrence:random_seed=3927767889:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.78/1.89 % (231169)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3918068788:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.78/1.89 % (231168)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1195032438:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.78/1.89 % (231166)Instruction limit reached!
% 6.78/1.89 % (231166)------------------------------
% 6.78/1.89 % (231166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231166)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231166)Termination reason: Instruction limit
% 6.78/1.89 % (231166)Termination phase: Saturation
% 6.78/1.89 % (231166)Time elapsed: 0.092 s
% 6.78/1.89 % (231166)Peak memory usage: 93 MB
% 6.78/1.89 % (231166)Instructions burned: 286 (million)
% 6.78/1.89 % (231170)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=1957692375:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.78/1.89 % (231168)Instruction limit reached!
% 6.78/1.89 % (231168)------------------------------
% 6.78/1.89 % (231168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231168)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231168)Termination reason: Instruction limit
% 6.78/1.89 % (231168)Termination phase: Saturation
% 6.78/1.89 % (231168)Time elapsed: 0.081 s
% 6.78/1.89 % (231168)Peak memory usage: 94 MB
% 6.78/1.89 % (231168)Instructions burned: 159 (million)
% 6.78/1.89 % (231174)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=86972022:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.78/1.89 % (231170)Instruction limit reached!
% 6.78/1.89 % (231170)------------------------------
% 6.78/1.89 % (231170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231170)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231170)Termination reason: Instruction limit
% 6.78/1.89 % (231170)Termination phase: Saturation
% 6.78/1.89 % (231170)Time elapsed: 0.120 s
% 6.78/1.89 % (231170)Peak memory usage: 94 MB
% 6.78/1.89 % (231170)Instructions burned: 249 (million)
% 6.78/1.89 % (231169)Instruction limit reached!
% 6.78/1.89 % (231169)------------------------------
% 6.78/1.89 % (231169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231169)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231169)Termination reason: Instruction limit
% 6.78/1.89 % (231169)Termination phase: Saturation
% 6.78/1.89 % (231169)Time elapsed: 0.207 s
% 6.78/1.89 % (231169)Peak memory usage: 92 MB
% 6.78/1.89 % (231169)Instructions burned: 326 (million)
% 6.78/1.89 % (231176)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3799054636:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.78/1.89 % (231174)Instruction limit reached!
% 6.78/1.89 % (231174)------------------------------
% 6.78/1.89 % (231174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231174)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231174)Termination reason: Instruction limit
% 6.78/1.89 % (231174)Termination phase: Saturation
% 6.78/1.89 % (231174)Time elapsed: 0.093 s
% 6.78/1.89 % (231174)Peak memory usage: 90 MB
% 6.78/1.89 % (231174)Instructions burned: 297 (million)
% 6.78/1.89 % (231178)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=939598404:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.78/1.89 % (231179)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1670093630:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.78/1.89 % (231181)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3822671348:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.78/1.89 % (231181)Instruction limit reached!
% 6.78/1.89 % (231181)------------------------------
% 6.78/1.89 % (231181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231181)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231181)Termination reason: Instruction limit
% 6.78/1.89 % (231181)Termination phase: Saturation
% 6.78/1.89 % (231181)Time elapsed: 0.035 s
% 6.78/1.89 % (231181)Peak memory usage: 89 MB
% 6.78/1.89 % (231181)Instructions burned: 115 (million)
% 6.78/1.89 % (231179)Instruction limit reached!
% 6.78/1.89 % (231179)------------------------------
% 6.78/1.89 % (231179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231179)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231179)Termination reason: Instruction limit
% 6.78/1.89 % (231179)Termination phase: Saturation
% 6.78/1.89 % (231179)Time elapsed: 0.063 s
% 6.78/1.89 % (231179)Peak memory usage: 90 MB
% 6.78/1.89 % (231179)Instructions burned: 127 (million)
% 6.78/1.89 % (231178)Instruction limit reached!
% 6.78/1.89 % (231178)------------------------------
% 6.78/1.89 % (231178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.89 % (231178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.89 % (231178)CaDiCaL version: 2.1.3
% 6.78/1.89 % (231178)Termination reason: Instruction limit
% 6.78/1.89 % (231178)Termination phase: Saturation
% 6.78/1.89 % (231178)Time elapsed: 0.075 s
% 6.78/1.89 % (231178)Peak memory usage: 90 MB
% 6.78/1.89 % (231178)Instructions burned: 113 (million)
% 6.78/1.89 % (231185)lrs+10_1_sil=8000:sp=occurrence:random_seed=1392200482:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.78/1.89 % (231153)First to succeed.
% 6.78/1.89 % (231153)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-231148"
% 6.78/1.89 % (231186)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1348408012:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.78/1.90 % (231187)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1385325726:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.78/1.90 % (231185)Instruction limit reached!
% 6.78/1.90 % (231185)------------------------------
% 6.78/1.90 % (231185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.90 % (231185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.90 % (231185)CaDiCaL version: 2.1.3
% 6.78/1.90 % (231185)Termination reason: Instruction limit
% 6.78/1.90 % (231185)Termination phase: Saturation
% 6.78/1.90 % (231185)Time elapsed: 0.269 s
% 6.78/1.90 % (231185)Peak memory usage: 101 MB
% 6.78/1.90 % (231185)Instructions burned: 908 (million)
% 6.78/1.90 % (231153)Refutation found. Thanks to Tanya!
% 6.78/1.90 % SZS status Theorem for theBenchmark
% 6.78/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 9.20/2.09 % (231153)------------------------------
% 9.20/2.09 % (231153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.09 % (231153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.09 % (231153)CaDiCaL version: 2.1.3
% 9.20/2.09 % (231153)Termination reason: Refutation
% 9.20/2.09 % (231153)Time elapsed: 0.780 s
% 9.20/2.09 % (231153)Peak memory usage: 131 MB
% 9.20/2.09 % (231153)Instructions burned: 1169 (million)
% 9.20/2.09 % (231153)------------------------------
% 9.20/2.09 % (231153)------------------------------
% 9.20/2.09 % (231148)Success in time 1.214 s
% 9.20/2.09 % Vampire exiting
%------------------------------------------------------------------------------