%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC180+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:02:49 PM UTC 2026
% Result : Theorem 5.15s 1.81s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 19
% Syntax : Number of formulae : 148 ( 30 unt; 10 def)
% Number of atoms : 623 ( 82 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 836 ( 361 ~; 355 |; 78 &)
% ( 14 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 193 ( 0 sgn 159 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(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
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
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) = X2
& ? [X7] :
( ssItem(X7)
& ( ( ~ lt(X4,X7)
& memberP(X6,X7) )
| ( ~ lt(X7,X4)
& memberP(X5,X7) ) ) ) ) ) )
| duplicatefreeP(X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ? [X7] :
( ssItem(X7)
& ( ( ~ lt(X4,X7)
& memberP(X6,X7) )
| ( ~ lt(X7,X4)
& memberP(X5,X7) ) ) ) ) ) )
| duplicatefreeP(X0) ) ) ) ) ),
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(f114,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( 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,[],[f13]) ).
fof(f115,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( 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,[],[f114]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f199,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(f216,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X2
| ! [X7] :
( ~ ssItem(X7)
| ( ( lt(X4,X7)
| ~ memberP(X6,X7) )
& ( lt(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ~ duplicatefreeP(X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X2
| ! [X7] :
( ~ ssItem(X7)
| ( ( lt(X4,X7)
| ~ memberP(X6,X7) )
& ( lt(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ~ duplicatefreeP(X0)
& 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(f267,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( 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] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f268,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( 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] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f267]) ).
fof(f269,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssList(sK42(X0))
& ssItem(sK41(X0))
& ssItem(sK40(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0)),skolemize(X3,sK42(X0)),skolemize(X4,sK43(X0)),skolemize(X5,sK44(X0))],[f268]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f216]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f294]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK55
| ! [X7] :
( ~ ssItem(X7)
| ( ( lt(X4,X7)
| ~ memberP(X6,X7) )
& ( lt(X7,X4)
| ~ memberP(X5,X7) ) ) ) ) ) )
& ~ duplicatefreeP(sK53)
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[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(f372,plain,
! [X0] :
( ssItem(sK40(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f374,plain,
! [X0] :
( ssList(sK42(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f375,plain,
! [X0] :
( ssList(sK43(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f376,plain,
! [X0] :
( ssList(sK44(X0))
| duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f377,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f378,plain,
! [X0] :
( ~ ssList(X0)
| sK40(X0) = sK41(X0)
| duplicatefreeP(X0) ),
inference(cnf_transformation,[],[f269]) ).
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(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f478,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f492,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
~ duplicatefreeP(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
! [X6,X7,X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK55
| ~ ssItem(X7)
| lt(X7,X4)
| ~ memberP(X5,X7) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
~ duplicatefreeP(sK55),
inference(definition_unfolding,[],[f500,f503]) ).
fof(f507,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f503]) ).
fof(f509,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(f534,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f492]) ).
fof(f535,definition,
! [X4] : sF57(X4) = cons(X4,nil),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
fof(f536,plain,
! [X4] : cons(X4,nil) = sF57(X4),
inference(reorient_equations,[],[f535]) ).
fof(f537,definition,
! [X4,X5] : sF58(X5,X4) = app(X5,sF57(X4)),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f538,plain,
! [X4,X5] : app(X5,sF57(X4)) = sF58(X5,X4),
inference(reorient_equations,[],[f537]) ).
fof(f539,definition,
! [X6,X4,X5] : sF59(X5,X4,X6) = app(sF58(X5,X4),X6),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
fof(f540,plain,
! [X6,X4,X5] : app(sF58(X5,X4),X6) = sF59(X5,X4,X6),
inference(reorient_equations,[],[f539]) ).
fof(f542,plain,
! [X6,X7,X4,X5] :
( sK55 != sF59(X5,X4,X6)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssItem(X4)
| ~ ssItem(X7)
| lt(X7,X4)
| ~ memberP(X5,X7) ),
inference(definition_folding,[],[f501,f540,f538,f536]) ).
fof(f543,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f534]) ).
fof(f551,definition,
( spl60_1
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl60_1])],[avatar_definition]) ).
fof(f552,plain,
( ssList(nil)
| ~ spl60_1 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f579,plain,
spl60_1,
inference(avatar_split_clause,[],[f389,f551]) ).
fof(f589,plain,
( sK55 = app(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),cons(sK41(sK55),sK44(sK55)))
| duplicatefreeP(sK55) ),
inference(resolution,[],[f377,f507]) ).
fof(f592,plain,
sK55 = app(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),cons(sK41(sK55),sK44(sK55))),
inference(forward_subsumption_resolution,[],[f589,f505]) ).
fof(f603,plain,
! [X0] :
( ssList(sF57(X0))
| ~ ssItem(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f536]) ).
fof(f604,plain,
( ! [X0] :
( ssList(sF57(X0))
| ~ ssItem(X0) )
| ~ spl60_1 ),
inference(forward_subsumption_resolution,[],[f603,f552]) ).
fof(f612,plain,
( sK40(sK55) = sK41(sK55)
| duplicatefreeP(sK55) ),
inference(resolution,[],[f378,f507]) ).
fof(f614,plain,
sK40(sK55) = sK41(sK55),
inference(forward_subsumption_resolution,[],[f612,f505]) ).
fof(f615,plain,
sK55 = app(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),cons(sK40(sK55),sK44(sK55))),
inference(superposition,[],[f592,f614]) ).
fof(f643,definition,
( spl60_10
<=> ssItem(sK40(sK55)) ),
introduced(definition,[new_symbols(definition,[spl60_10])],[avatar_definition]) ).
fof(f644,plain,
( ssItem(sK40(sK55))
| ~ spl60_10 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f645,plain,
( ~ ssItem(sK40(sK55))
| spl60_10 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f647,definition,
( spl60_11
<=> ssList(sK44(sK55)) ),
introduced(definition,[new_symbols(definition,[spl60_11])],[avatar_definition]) ).
fof(f648,plain,
( ssList(sK44(sK55))
| ~ spl60_11 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( ~ ssList(sK44(sK55))
| spl60_11 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f651,definition,
( spl60_12
<=> ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55)))) ),
introduced(definition,[new_symbols(definition,[spl60_12])],[avatar_definition]) ).
fof(f652,plain,
( ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| ~ spl60_12 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( ~ ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| spl60_12 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f664,plain,
( duplicatefreeP(sK55)
| ~ ssList(sK55)
| spl60_10 ),
inference(resolution,[],[f645,f372]) ).
fof(f665,plain,
( ~ ssList(sK55)
| spl60_10 ),
inference(forward_subsumption_resolution,[],[f664,f505]) ).
fof(f666,plain,
( $false
| spl60_10 ),
inference(forward_subsumption_resolution,[],[f665,f507]) ).
fof(f667,plain,
spl60_10,
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f668,plain,
( duplicatefreeP(sK55)
| ~ ssList(sK55)
| spl60_11 ),
inference(resolution,[],[f649,f376]) ).
fof(f669,plain,
( ~ ssList(sK55)
| spl60_11 ),
inference(forward_subsumption_resolution,[],[f668,f505]) ).
fof(f670,plain,
( $false
| spl60_11 ),
inference(forward_subsumption_resolution,[],[f669,f507]) ).
fof(f671,plain,
spl60_11,
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f689,plain,
( ~ ssList(cons(sK40(sK55),sK43(sK55)))
| ~ ssList(sK42(sK55))
| spl60_12 ),
inference(resolution,[],[f653,f401]) ).
fof(f691,definition,
( spl60_17
<=> ssList(sK42(sK55)) ),
introduced(definition,[new_symbols(definition,[spl60_17])],[avatar_definition]) ).
fof(f692,plain,
( ssList(sK42(sK55))
| ~ spl60_17 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( ~ ssList(sK42(sK55))
| spl60_17 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f695,definition,
( spl60_18
<=> ssList(cons(sK40(sK55),sK43(sK55))) ),
introduced(definition,[new_symbols(definition,[spl60_18])],[avatar_definition]) ).
fof(f697,plain,
( ~ ssList(cons(sK40(sK55),sK43(sK55)))
| spl60_18 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f698,plain,
( ~ spl60_17
| ~ spl60_18
| spl60_12 ),
inference(avatar_split_clause,[],[f689,f651,f695,f691]) ).
fof(f699,plain,
( duplicatefreeP(sK55)
| ~ ssList(sK55)
| spl60_17 ),
inference(resolution,[],[f693,f374]) ).
fof(f700,plain,
( ~ ssList(sK55)
| spl60_17 ),
inference(forward_subsumption_resolution,[],[f699,f505]) ).
fof(f701,plain,
( $false
| spl60_17 ),
inference(forward_subsumption_resolution,[],[f700,f507]) ).
fof(f702,plain,
spl60_17,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f720,plain,
( ~ ssItem(sK40(sK55))
| ~ ssList(sK43(sK55))
| spl60_18 ),
inference(resolution,[],[f697,f388]) ).
fof(f721,plain,
( ~ ssList(sK43(sK55))
| ~ spl60_10
| spl60_18 ),
inference(forward_subsumption_resolution,[],[f720,f644]) ).
fof(f722,plain,
( duplicatefreeP(sK55)
| ~ ssList(sK55)
| ~ spl60_10
| spl60_18 ),
inference(resolution,[],[f721,f375]) ).
fof(f723,plain,
( ~ ssList(sK55)
| ~ spl60_10
| spl60_18 ),
inference(forward_subsumption_resolution,[],[f722,f505]) ).
fof(f724,plain,
( $false
| ~ spl60_10
| spl60_18 ),
inference(forward_subsumption_resolution,[],[f723,f507]) ).
fof(f725,plain,
( ~ spl60_10
| spl60_18 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| app(app(X0,X1),sK44(sK55)) = app(X0,app(X1,sK44(sK55)))
| ~ ssList(X0) )
| ~ spl60_11 ),
inference(resolution,[],[f478,f648]) ).
fof(f928,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK44(sK55)) = app(cons(X0,nil),sK44(sK55)) )
| ~ spl60_11 ),
inference(resolution,[],[f477,f648]) ).
fof(f935,plain,
( ! [X0] :
( ~ ssItem(X0)
| app(sF57(X0),sK44(sK55)) = cons(X0,sK44(sK55)) )
| ~ spl60_11 ),
inference(forward_demodulation,[],[f928,f536]) ).
fof(f947,plain,
( cons(sK40(sK55),sK44(sK55)) = app(sF57(sK40(sK55)),sK44(sK55))
| ~ spl60_10
| ~ spl60_11 ),
inference(resolution,[],[f935,f644]) ).
fof(f968,definition,
( spl60_33
<=> ssList(sF57(sK40(sK55))) ),
introduced(definition,[new_symbols(definition,[spl60_33])],[avatar_definition]) ).
fof(f969,plain,
( ssList(sF57(sK40(sK55)))
| ~ spl60_33 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f970,plain,
( ~ ssList(sF57(sK40(sK55)))
| spl60_33 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f976,plain,
( ~ ssItem(sK40(sK55))
| ~ spl60_1
| spl60_33 ),
inference(resolution,[],[f970,f604]) ).
fof(f977,plain,
( $false
| ~ spl60_1
| ~ spl60_10
| spl60_33 ),
inference(forward_subsumption_resolution,[],[f976,f644]) ).
fof(f978,plain,
( ~ spl60_1
| ~ spl60_10
| spl60_33 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f987,plain,
( ! [X0] :
( app(app(X0,sF57(sK40(sK55))),sK44(sK55)) = app(X0,app(sF57(sK40(sK55)),sK44(sK55)))
| ~ ssList(X0) )
| ~ spl60_11
| ~ spl60_33 ),
inference(resolution,[],[f969,f772]) ).
fof(f1001,plain,
( ! [X0] :
( app(app(X0,sF57(sK40(sK55))),sK44(sK55)) = app(X0,cons(sK40(sK55),sK44(sK55)))
| ~ ssList(X0) )
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(forward_demodulation,[],[f987,f947]) ).
fof(f1023,plain,
( ! [X0] :
( app(X0,cons(sK40(sK55),sK44(sK55))) = app(sF58(X0,sK40(sK55)),sK44(sK55))
| ~ ssList(X0) )
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(forward_demodulation,[],[f1001,f538]) ).
fof(f1027,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,cons(sK40(sK55),sK44(sK55))) = sF59(X0,sK40(sK55),sK44(sK55)) )
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(forward_demodulation,[],[f1023,f540]) ).
fof(f1096,plain,
( app(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),cons(sK40(sK55),sK44(sK55))) = sF59(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),sK40(sK55),sK44(sK55))
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(resolution,[],[f1027,f652]) ).
fof(f1108,plain,
( sK55 = sF59(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),sK40(sK55),sK44(sK55))
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(forward_demodulation,[],[f1096,f615]) ).
fof(f1147,plain,
( ! [X0] :
( sK55 != sK55
| ~ ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| ~ ssList(sK44(sK55))
| ~ ssItem(sK40(sK55))
| ~ ssItem(X0)
| lt(X0,sK40(sK55))
| ~ memberP(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),X0) )
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(superposition,[],[f542,f1108]) ).
fof(f1148,plain,
( ! [X0] :
( ~ ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| ~ ssList(sK44(sK55))
| ~ ssItem(sK40(sK55))
| ~ ssItem(X0)
| lt(X0,sK40(sK55))
| ~ memberP(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),X0) )
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(trivial_inequality_removal,[],[f1147]) ).
fof(f1150,plain,
( ! [X0] :
( ~ ssList(sK44(sK55))
| ~ ssItem(sK40(sK55))
| ~ ssItem(X0)
| lt(X0,sK40(sK55))
| ~ memberP(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),X0) )
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1148,f652]) ).
fof(f1152,plain,
( ! [X0] :
( ~ ssItem(sK40(sK55))
| ~ ssItem(X0)
| lt(X0,sK40(sK55))
| ~ memberP(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),X0) )
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1150,f648]) ).
fof(f1154,plain,
( ! [X0] :
( ~ memberP(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))),X0)
| lt(X0,sK40(sK55))
| ~ ssItem(X0) )
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1152,f644]) ).
fof(f1156,plain,
( lt(sK40(sK55),sK40(sK55))
| ~ ssItem(sK40(sK55))
| ~ ssList(sK42(sK55))
| ~ ssList(sK43(sK55))
| ~ ssItem(sK40(sK55))
| ~ ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(resolution,[],[f1154,f509]) ).
fof(f1157,plain,
( lt(sK40(sK55),sK40(sK55))
| ~ ssItem(sK40(sK55))
| ~ ssList(sK42(sK55))
| ~ ssList(sK43(sK55))
| ~ ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(duplicate_literal_removal,[],[f1156]) ).
fof(f1158,plain,
( ~ ssItem(sK40(sK55))
| ~ ssList(sK42(sK55))
| ~ ssList(sK43(sK55))
| ~ ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1157,f543]) ).
fof(f1159,plain,
( ~ ssList(sK42(sK55))
| ~ ssList(sK43(sK55))
| ~ ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1158,f644]) ).
fof(f1160,plain,
( ~ ssList(sK43(sK55))
| ~ ssList(app(sK42(sK55),cons(sK40(sK55),sK43(sK55))))
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_17
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1159,f692]) ).
fof(f1161,plain,
( ~ ssList(sK43(sK55))
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_17
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1160,f652]) ).
fof(f1162,plain,
( duplicatefreeP(sK55)
| ~ ssList(sK55)
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_17
| ~ spl60_33 ),
inference(resolution,[],[f1161,f375]) ).
fof(f1163,plain,
( ~ ssList(sK55)
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_17
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1162,f505]) ).
fof(f1164,plain,
( $false
| ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_17
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1163,f507]) ).
fof(f1165,plain,
( ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_17
| ~ spl60_33 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
cnf(s8,plain,
spl60_1,
inference(sat_conversion,[],[f579]) ).
cnf(s13,plain,
spl60_10,
inference(sat_conversion,[],[f667]) ).
cnf(s14,plain,
spl60_11,
inference(sat_conversion,[],[f671]) ).
cnf(s17,plain,
( spl60_12
| ~ spl60_17
| ~ spl60_18 ),
inference(sat_conversion,[],[f698]) ).
cnf(s18,plain,
spl60_17,
inference(sat_conversion,[],[f702]) ).
cnf(s21,plain,
( ~ spl60_10
| spl60_18 ),
inference(sat_conversion,[],[f725]) ).
cnf(s30,plain,
( ~ spl60_1
| ~ spl60_10
| spl60_33 ),
inference(sat_conversion,[],[f978]) ).
cnf(s41,plain,
( ~ spl60_10
| ~ spl60_11
| ~ spl60_12
| ~ spl60_17
| ~ spl60_33 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s42,plain,
( spl60_12
| ~ spl60_18 ),
inference(rat,[],[s17,s18]) ).
cnf(s43,plain,
spl60_18,
inference(rat,[],[s21,s13]) ).
cnf(s44,plain,
spl60_12,
inference(rat,[],[s42,s43]) ).
cnf(s45,plain,
~ spl60_33,
inference(rat,[],[s41,s13,s18,s14,s44]) ).
cnf(s46,plain,
~ spl60_1,
inference(rat,[],[s30,s13,s45]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s8,s46]) ).
fof(f1166,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC180+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n005.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 08:19:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.15/1.80 % (637805)Detected formulas, will run a generic FOF schedule.
% 5.15/1.80 % (637814)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3265572541:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.15/1.80 % (637811)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=2166451973:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.15/1.80 % (637816)dis-21_1_sil=8000:lcm=predicate:random_seed=3922878406: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)
% 5.15/1.80 % (637810)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=2159155164:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.15/1.80 % (637813)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=928399473:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.15/1.80 % (637812)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=3096239651:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.15/1.80 % (637815)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=294370862:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.15/1.80 % (637815)Instruction limit reached!
% 5.15/1.80 % (637815)------------------------------
% 5.15/1.80 % (637815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637815)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637815)Termination reason: Instruction limit
% 5.15/1.80 % (637815)Termination phase: Saturation
% 5.15/1.80 % (637815)Time elapsed: 0.054 s
% 5.15/1.80 % (637815)Peak memory usage: 90 MB
% 5.15/1.80 % (637815)Instructions burned: 141 (million)
% 5.15/1.80 % (637813)Instruction limit reached!
% 5.15/1.80 % (637813)------------------------------
% 5.15/1.80 % (637813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637813)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637813)Termination reason: Instruction limit
% 5.15/1.80 % (637813)Termination phase: Saturation
% 5.15/1.80 % (637813)Time elapsed: 0.067 s
% 5.15/1.80 % (637813)Peak memory usage: 89 MB
% 5.15/1.80 % (637813)Instructions burned: 109 (million)
% 5.15/1.80 % (637816)Instruction limit reached!
% 5.15/1.80 % (637816)------------------------------
% 5.15/1.80 % (637816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637816)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637816)Termination reason: Instruction limit
% 5.15/1.80 % (637816)Termination phase: Saturation
% 5.15/1.80 % (637816)Time elapsed: 0.068 s
% 5.15/1.80 % (637816)Peak memory usage: 90 MB
% 5.15/1.80 % (637816)Instructions burned: 130 (million)
% 5.15/1.80 % (637814)Instruction limit reached!
% 5.15/1.80 % (637814)------------------------------
% 5.15/1.80 % (637814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637814)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637814)Termination reason: Instruction limit
% 5.15/1.80 % (637814)Termination phase: Saturation
% 5.15/1.80 % (637814)Time elapsed: 0.071 s
% 5.15/1.80 % (637814)Peak memory usage: 88 MB
% 5.15/1.80 % (637814)Instructions burned: 120 (million)
% 5.15/1.80 % (637824)lrs+10_1_sil=8000:sp=occurrence:random_seed=1774805237:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.15/1.80 % (637827)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=2514556102:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.15/1.80 % (637826)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2996037183:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.15/1.80 % (637825)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2777920581:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.15/1.80 % (637824)Instruction limit reached!
% 5.15/1.80 % (637824)------------------------------
% 5.15/1.80 % (637824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637824)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637824)Termination reason: Instruction limit
% 5.15/1.80 % (637824)Termination phase: Saturation
% 5.15/1.80 % (637824)Time elapsed: 0.094 s
% 5.15/1.80 % (637824)Peak memory usage: 93 MB
% 5.15/1.80 % (637824)Instructions burned: 286 (million)
% 5.15/1.80 % (637825)Instruction limit reached!
% 5.15/1.80 % (637825)------------------------------
% 5.15/1.80 % (637825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637825)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637825)Termination reason: Instruction limit
% 5.15/1.80 % (637825)Termination phase: Saturation
% 5.15/1.80 % (637825)Time elapsed: 0.076 s
% 5.15/1.80 % (637825)Peak memory usage: 91 MB
% 5.15/1.80 % (637825)Instructions burned: 157 (million)
% 5.15/1.80 % (637827)Instruction limit reached!
% 5.15/1.80 % (637827)------------------------------
% 5.15/1.80 % (637827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637827)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637827)Termination reason: Instruction limit
% 5.15/1.80 % (637827)Termination phase: Saturation
% 5.15/1.80 % (637827)Time elapsed: 0.119 s
% 5.15/1.80 % (637827)Peak memory usage: 94 MB
% 5.15/1.80 % (637827)Instructions burned: 248 (million)
% 5.15/1.80 % (637832)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1461366903:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.15/1.80 % (637826)Instruction limit reached!
% 5.15/1.80 % (637826)------------------------------
% 5.15/1.80 % (637826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637826)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637826)Termination reason: Instruction limit
% 5.15/1.80 % (637826)Termination phase: Saturation
% 5.15/1.80 % (637826)Time elapsed: 0.206 s
% 5.15/1.80 % (637826)Peak memory usage: 92 MB
% 5.15/1.80 % (637826)Instructions burned: 325 (million)
% 5.15/1.80 % (637832)Instruction limit reached!
% 5.15/1.80 % (637832)------------------------------
% 5.15/1.80 % (637832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637832)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637832)Termination reason: Instruction limit
% 5.15/1.80 % (637832)Termination phase: Saturation
% 5.15/1.80 % (637832)Time elapsed: 0.088 s
% 5.15/1.80 % (637832)Peak memory usage: 89 MB
% 5.15/1.80 % (637832)Instructions burned: 296 (million)
% 5.15/1.80 % (637833)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3491929576:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.15/1.80 % (637834)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2974480627:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.15/1.80 % (637834)Instruction limit reached!
% 5.15/1.80 % (637834)------------------------------
% 5.15/1.80 % (637834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637834)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637834)Termination reason: Instruction limit
% 5.15/1.80 % (637834)Termination phase: Saturation
% 5.15/1.80 % (637834)Time elapsed: 0.076 s
% 5.15/1.80 % (637834)Peak memory usage: 90 MB
% 5.15/1.80 % (637834)Instructions burned: 113 (million)
% 5.15/1.80 % (637837)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3203136605:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.15/1.80 % (637836)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1494123756:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.15/1.80 % (637837)Instruction limit reached!
% 5.15/1.80 % (637837)------------------------------
% 5.15/1.80 % (637837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.80 % (637837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.80 % (637837)CaDiCaL version: 2.1.3
% 5.15/1.80 % (637837)Termination reason: Instruction limit
% 5.15/1.81 % (637837)Termination phase: Saturation
% 5.15/1.81 % (637837)Time elapsed: 0.037 s
% 5.15/1.81 % (637837)Peak memory usage: 89 MB
% 5.15/1.81 % (637837)Instructions burned: 117 (million)
% 5.15/1.81 % (637836)Instruction limit reached!
% 5.15/1.81 % (637836)------------------------------
% 5.15/1.81 % (637836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.15/1.81 % (637836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.15/1.81 % (637836)CaDiCaL version: 2.1.3
% 5.15/1.81 % (637836)Termination reason: Instruction limit
% 5.15/1.81 % (637836)Termination phase: Saturation
% 5.15/1.81 % (637836)Time elapsed: 0.064 s
% 5.15/1.81 % (637836)Peak memory usage: 90 MB
% 5.15/1.81 % (637836)Instructions burned: 128 (million)
% 5.15/1.81 % (637842)lrs+10_1_sil=8000:sp=occurrence:random_seed=2202353105:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.15/1.81 % (637843)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2187636087:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.15/1.81 % (637810)First to succeed.
% 5.15/1.81 % (637810)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-637805"
% 5.15/1.81 % (637843)Also succeeded, but the first one will report.
% 5.15/1.81 % (637844)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=702627212:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 5.15/1.81 % (637810)Refutation found. Thanks to Tanya!
% 5.15/1.81 % SZS status Theorem for theBenchmark
% 5.15/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.90 % (637810)------------------------------
% 0.17/1.90 % (637810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.90 % (637810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.90 % (637810)CaDiCaL version: 2.1.3
% 0.17/1.90 % (637810)Termination reason: Refutation
% 0.17/1.90 % (637810)Time elapsed: 0.749 s
% 0.17/1.90 % (637810)Peak memory usage: 132 MB
% 0.17/1.90 % (637810)Instructions burned: 1137 (million)
% 0.17/1.90 % (637810)------------------------------
% 0.17/1.90 % (637810)------------------------------
% 0.17/1.90 % (637805)Success in time 1.175 s
% 0.17/1.90 % Vampire exiting
%------------------------------------------------------------------------------