%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC265+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 : n013.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 01:03:12 PM UTC 2026
% Result : Theorem 15.80s 3.19s
% Output : Refutation 16.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 21
% Syntax : Number of formulae : 157 ( 32 unt; 12 def)
% Number of atoms : 662 ( 65 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 892 ( 387 ~; 393 |; 70 &)
% ( 16 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 184 ( 0 sgn 154 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(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) ) ) ) ) ) )
| totalorderedP(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) ) ) ) ) ) )
| totalorderedP(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(f110,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f111,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f110]) ).
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] :
( 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) ) ) ) ) ) )
& ~ totalorderedP(X0) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f233,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(f234,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,[],[f233]) ).
fof(f235,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))],[f234]) ).
fof(f260,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f261,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f260]) ).
fof(f262,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK30(X0),sK31(X0))
& app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
& ssList(sK34(X0))
& ssList(sK33(X0))
& ssList(sK32(X0))
& ssItem(sK31(X0))
& ssItem(sK30(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33,sK34]),skolemize(X1,sK30(X0)),skolemize(X2,sK31(X0)),skolemize(X3,sK32(X0)),skolemize(X4,sK33(X0)),skolemize(X5,sK34(X0))],[f261]) ).
fof(f293,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(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(flattening,[],[f293]) ).
fof(f295,plain,
( ssList(sK56)
& 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) ) ) ) ) ) )
& ~ totalorderedP(sK53)
& 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)],[f221]) ).
fof(f304,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,[],[f235]) ).
fof(f355,plain,
! [X0] :
( ssItem(sK30(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f356,plain,
! [X0] :
( ssItem(sK31(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f357,plain,
! [X0] :
( ssList(sK32(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f358,plain,
! [X0] :
( ssList(sK33(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f359,plain,
! [X0] :
( ssList(sK34(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f360,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK32(X0),cons(sK30(X0),sK33(X0))),cons(sK31(X0),sK34(X0))) = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f361,plain,
! [X0] :
( ~ leq(sK30(X0),sK31(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f387,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f388,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f400,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f476,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f477,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(f490,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f495,plain,
ssList(sK53),
inference(cnf_transformation,[],[f295]) ).
fof(f498,plain,
~ totalorderedP(sK53),
inference(cnf_transformation,[],[f295]) ).
fof(f499,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,[],[f295]) ).
fof(f501,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f504,plain,
~ totalorderedP(sK55),
inference(definition_unfolding,[],[f498,f501]) ).
fof(f506,plain,
ssList(sK55),
inference(definition_unfolding,[],[f495,f501]) ).
fof(f508,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,[],[f304]) ).
fof(f534,definition,
! [X4] : sF57(X4) = cons(X4,nil),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
fof(f535,plain,
! [X4] : cons(X4,nil) = sF57(X4),
inference(reorient_equations,[],[f534]) ).
fof(f536,definition,
! [X4,X5] : sF58(X5,X4) = app(X5,sF57(X4)),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f537,plain,
! [X4,X5] : app(X5,sF57(X4)) = sF58(X5,X4),
inference(reorient_equations,[],[f536]) ).
fof(f538,definition,
! [X6,X4,X5] : sF59(X5,X4,X6) = app(sF58(X5,X4),X6),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
fof(f539,plain,
! [X6,X4,X5] : app(sF58(X5,X4),X6) = sF59(X5,X4,X6),
inference(reorient_equations,[],[f538]) ).
fof(f541,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,[],[f499,f539,f537,f535]) ).
fof(f550,definition,
( spl60_1
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl60_1])],[avatar_definition]) ).
fof(f551,plain,
( ssList(nil)
| ~ spl60_1 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f578,plain,
spl60_1,
inference(avatar_split_clause,[],[f388,f550]) ).
fof(f588,plain,
( sK55 = app(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),cons(sK31(sK55),sK34(sK55)))
| totalorderedP(sK55) ),
inference(resolution,[],[f360,f506]) ).
fof(f591,plain,
sK55 = app(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),cons(sK31(sK55),sK34(sK55))),
inference(forward_subsumption_resolution,[],[f588,f504]) ).
fof(f602,plain,
! [X0] :
( ssList(sF57(X0))
| ~ ssItem(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f387,f535]) ).
fof(f603,plain,
( ! [X0] :
( ssList(sF57(X0))
| ~ ssItem(X0) )
| ~ spl60_1 ),
inference(forward_subsumption_resolution,[],[f602,f551]) ).
fof(f623,definition,
( spl60_9
<=> ssItem(sK31(sK55)) ),
introduced(definition,[new_symbols(definition,[spl60_9])],[avatar_definition]) ).
fof(f624,plain,
( ssItem(sK31(sK55))
| ~ spl60_9 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f625,plain,
( ~ ssItem(sK31(sK55))
| spl60_9 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f627,definition,
( spl60_10
<=> ssList(sK34(sK55)) ),
introduced(definition,[new_symbols(definition,[spl60_10])],[avatar_definition]) ).
fof(f628,plain,
( ssList(sK34(sK55))
| ~ spl60_10 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f629,plain,
( ~ ssList(sK34(sK55))
| spl60_10 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f631,definition,
( spl60_11
<=> ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55)))) ),
introduced(definition,[new_symbols(definition,[spl60_11])],[avatar_definition]) ).
fof(f632,plain,
( ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| ~ spl60_11 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f633,plain,
( ~ ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| spl60_11 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f641,plain,
( totalorderedP(sK55)
| ~ ssList(sK55)
| spl60_9 ),
inference(resolution,[],[f625,f356]) ).
fof(f642,plain,
( ~ ssList(sK55)
| spl60_9 ),
inference(forward_subsumption_resolution,[],[f641,f504]) ).
fof(f643,plain,
( $false
| spl60_9 ),
inference(forward_subsumption_resolution,[],[f642,f506]) ).
fof(f644,plain,
spl60_9,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f645,plain,
( totalorderedP(sK55)
| ~ ssList(sK55)
| spl60_10 ),
inference(resolution,[],[f629,f359]) ).
fof(f646,plain,
( ~ ssList(sK55)
| spl60_10 ),
inference(forward_subsumption_resolution,[],[f645,f504]) ).
fof(f647,plain,
( $false
| spl60_10 ),
inference(forward_subsumption_resolution,[],[f646,f506]) ).
fof(f648,plain,
spl60_10,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f660,plain,
( ~ ssList(cons(sK30(sK55),sK33(sK55)))
| ~ ssList(sK32(sK55))
| spl60_11 ),
inference(resolution,[],[f633,f400]) ).
fof(f662,definition,
( spl60_15
<=> ssList(sK32(sK55)) ),
introduced(definition,[new_symbols(definition,[spl60_15])],[avatar_definition]) ).
fof(f663,plain,
( ssList(sK32(sK55))
| ~ spl60_15 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( ~ ssList(sK32(sK55))
| spl60_15 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f666,definition,
( spl60_16
<=> ssList(cons(sK30(sK55),sK33(sK55))) ),
introduced(definition,[new_symbols(definition,[spl60_16])],[avatar_definition]) ).
fof(f668,plain,
( ~ ssList(cons(sK30(sK55),sK33(sK55)))
| spl60_16 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f669,plain,
( ~ spl60_15
| ~ spl60_16
| spl60_11 ),
inference(avatar_split_clause,[],[f660,f631,f666,f662]) ).
fof(f670,plain,
( totalorderedP(sK55)
| ~ ssList(sK55)
| spl60_15 ),
inference(resolution,[],[f664,f357]) ).
fof(f671,plain,
( ~ ssList(sK55)
| spl60_15 ),
inference(forward_subsumption_resolution,[],[f670,f504]) ).
fof(f672,plain,
( $false
| spl60_15 ),
inference(forward_subsumption_resolution,[],[f671,f506]) ).
fof(f673,plain,
spl60_15,
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f685,plain,
( ~ ssItem(sK30(sK55))
| ~ ssList(sK33(sK55))
| spl60_16 ),
inference(resolution,[],[f668,f387]) ).
fof(f687,definition,
( spl60_19
<=> ssList(sK33(sK55)) ),
introduced(definition,[new_symbols(definition,[spl60_19])],[avatar_definition]) ).
fof(f688,plain,
( ssList(sK33(sK55))
| ~ spl60_19 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( ~ ssList(sK33(sK55))
| spl60_19 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f691,definition,
( spl60_20
<=> ssItem(sK30(sK55)) ),
introduced(definition,[new_symbols(definition,[spl60_20])],[avatar_definition]) ).
fof(f692,plain,
( ssItem(sK30(sK55))
| ~ spl60_20 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( ~ ssItem(sK30(sK55))
| spl60_20 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f694,plain,
( ~ spl60_19
| ~ spl60_20
| spl60_16 ),
inference(avatar_split_clause,[],[f685,f666,f691,f687]) ).
fof(f695,plain,
( totalorderedP(sK55)
| ~ ssList(sK55)
| spl60_19 ),
inference(resolution,[],[f689,f358]) ).
fof(f696,plain,
( ~ ssList(sK55)
| spl60_19 ),
inference(forward_subsumption_resolution,[],[f695,f504]) ).
fof(f697,plain,
( $false
| spl60_19 ),
inference(forward_subsumption_resolution,[],[f696,f506]) ).
fof(f698,plain,
spl60_19,
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f699,plain,
( totalorderedP(sK55)
| ~ ssList(sK55)
| spl60_20 ),
inference(resolution,[],[f693,f355]) ).
fof(f700,plain,
( ~ ssList(sK55)
| spl60_20 ),
inference(forward_subsumption_resolution,[],[f699,f504]) ).
fof(f701,plain,
( $false
| spl60_20 ),
inference(forward_subsumption_resolution,[],[f700,f506]) ).
fof(f702,plain,
spl60_20,
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f752,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| app(app(X0,X1),sK34(sK55)) = app(X0,app(X1,sK34(sK55)))
| ~ ssList(X0) )
| ~ spl60_10 ),
inference(resolution,[],[f477,f628]) ).
fof(f1004,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK34(sK55)) = app(cons(X0,nil),sK34(sK55)) )
| ~ spl60_10 ),
inference(resolution,[],[f476,f628]) ).
fof(f1011,plain,
( ! [X0] :
( ~ ssItem(X0)
| app(sF57(X0),sK34(sK55)) = cons(X0,sK34(sK55)) )
| ~ spl60_10 ),
inference(forward_demodulation,[],[f1004,f535]) ).
fof(f1026,plain,
( cons(sK31(sK55),sK34(sK55)) = app(sF57(sK31(sK55)),sK34(sK55))
| ~ spl60_9
| ~ spl60_10 ),
inference(resolution,[],[f1011,f624]) ).
fof(f1034,definition,
( spl60_33
<=> ssList(sF57(sK31(sK55))) ),
introduced(definition,[new_symbols(definition,[spl60_33])],[avatar_definition]) ).
fof(f1035,plain,
( ssList(sF57(sK31(sK55)))
| ~ spl60_33 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1036,plain,
( ~ ssList(sF57(sK31(sK55)))
| spl60_33 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1042,plain,
( ~ ssItem(sK31(sK55))
| ~ spl60_1
| spl60_33 ),
inference(resolution,[],[f1036,f603]) ).
fof(f1043,plain,
( $false
| ~ spl60_1
| ~ spl60_9
| spl60_33 ),
inference(forward_subsumption_resolution,[],[f1042,f624]) ).
fof(f1044,plain,
( ~ spl60_1
| ~ spl60_9
| spl60_33 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1052,plain,
( ! [X0] :
( app(app(X0,sF57(sK31(sK55))),sK34(sK55)) = app(X0,app(sF57(sK31(sK55)),sK34(sK55)))
| ~ ssList(X0) )
| ~ spl60_10
| ~ spl60_33 ),
inference(resolution,[],[f1035,f752]) ).
fof(f1064,plain,
( ! [X0] :
( app(app(X0,sF57(sK31(sK55))),sK34(sK55)) = app(X0,cons(sK31(sK55),sK34(sK55)))
| ~ ssList(X0) )
| ~ spl60_9
| ~ spl60_10
| ~ spl60_33 ),
inference(forward_demodulation,[],[f1052,f1026]) ).
fof(f1079,plain,
( ! [X0] :
( app(X0,cons(sK31(sK55),sK34(sK55))) = app(sF58(X0,sK31(sK55)),sK34(sK55))
| ~ ssList(X0) )
| ~ spl60_9
| ~ spl60_10
| ~ spl60_33 ),
inference(forward_demodulation,[],[f1064,f537]) ).
fof(f1085,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,cons(sK31(sK55),sK34(sK55))) = sF59(X0,sK31(sK55),sK34(sK55)) )
| ~ spl60_9
| ~ spl60_10
| ~ spl60_33 ),
inference(forward_demodulation,[],[f1079,f539]) ).
fof(f1147,plain,
( app(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),cons(sK31(sK55),sK34(sK55))) = sF59(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),sK31(sK55),sK34(sK55))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(resolution,[],[f1085,f632]) ).
fof(f1159,plain,
( sK55 = sF59(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),sK31(sK55),sK34(sK55))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(forward_demodulation,[],[f1147,f591]) ).
fof(f1161,plain,
( ! [X0] :
( sK55 != sK55
| ~ ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| ~ ssList(sK34(sK55))
| ~ ssItem(sK31(sK55))
| ~ ssItem(X0)
| lt(X0,sK31(sK55))
| ~ memberP(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),X0) )
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(superposition,[],[f541,f1159]) ).
fof(f1162,plain,
( ! [X0] :
( ~ ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| ~ ssList(sK34(sK55))
| ~ ssItem(sK31(sK55))
| ~ ssItem(X0)
| lt(X0,sK31(sK55))
| ~ memberP(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),X0) )
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(trivial_inequality_removal,[],[f1161]) ).
fof(f1164,plain,
( ! [X0] :
( ~ ssList(sK34(sK55))
| ~ ssItem(sK31(sK55))
| ~ ssItem(X0)
| lt(X0,sK31(sK55))
| ~ memberP(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),X0) )
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1162,f632]) ).
fof(f1166,plain,
( ! [X0] :
( ~ ssItem(sK31(sK55))
| ~ ssItem(X0)
| lt(X0,sK31(sK55))
| ~ memberP(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),X0) )
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1164,f628]) ).
fof(f1168,plain,
( ! [X0] :
( ~ memberP(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))),X0)
| lt(X0,sK31(sK55))
| ~ ssItem(X0) )
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1166,f624]) ).
fof(f1170,plain,
( lt(sK30(sK55),sK31(sK55))
| ~ ssItem(sK30(sK55))
| ~ ssList(sK32(sK55))
| ~ ssList(sK33(sK55))
| ~ ssItem(sK30(sK55))
| ~ ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(resolution,[],[f1168,f508]) ).
fof(f1171,plain,
( lt(sK30(sK55),sK31(sK55))
| ~ ssItem(sK30(sK55))
| ~ ssList(sK32(sK55))
| ~ ssList(sK33(sK55))
| ~ ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_33 ),
inference(duplicate_literal_removal,[],[f1170]) ).
fof(f1172,plain,
( lt(sK30(sK55),sK31(sK55))
| ~ ssList(sK32(sK55))
| ~ ssList(sK33(sK55))
| ~ ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_20
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1171,f692]) ).
fof(f1173,plain,
( lt(sK30(sK55),sK31(sK55))
| ~ ssList(sK33(sK55))
| ~ ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_20
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1172,f663]) ).
fof(f1174,plain,
( lt(sK30(sK55),sK31(sK55))
| ~ ssList(app(sK32(sK55),cons(sK30(sK55),sK33(sK55))))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1173,f688]) ).
fof(f1175,plain,
( lt(sK30(sK55),sK31(sK55))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1174,f632]) ).
fof(f1176,plain,
( leq(sK30(sK55),sK31(sK55))
| ~ ssItem(sK31(sK55))
| ~ ssItem(sK30(sK55))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(resolution,[],[f1175,f490]) ).
fof(f1177,plain,
( leq(sK30(sK55),sK31(sK55))
| ~ ssItem(sK30(sK55))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1176,f624]) ).
fof(f1178,plain,
( leq(sK30(sK55),sK31(sK55))
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1177,f692]) ).
fof(f1179,plain,
( totalorderedP(sK55)
| ~ ssList(sK55)
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(resolution,[],[f1178,f361]) ).
fof(f1180,plain,
( ~ ssList(sK55)
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1179,f504]) ).
fof(f1181,plain,
( $false
| ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(forward_subsumption_resolution,[],[f1180,f506]) ).
fof(f1182,plain,
( ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
cnf(s8,plain,
spl60_1,
inference(sat_conversion,[],[f578]) ).
cnf(s11,plain,
spl60_9,
inference(sat_conversion,[],[f644]) ).
cnf(s12,plain,
spl60_10,
inference(sat_conversion,[],[f648]) ).
cnf(s14,plain,
( spl60_11
| ~ spl60_15
| ~ spl60_16 ),
inference(sat_conversion,[],[f669]) ).
cnf(s15,plain,
spl60_15,
inference(sat_conversion,[],[f673]) ).
cnf(s17,plain,
( spl60_16
| ~ spl60_19
| ~ spl60_20 ),
inference(sat_conversion,[],[f694]) ).
cnf(s18,plain,
spl60_19,
inference(sat_conversion,[],[f698]) ).
cnf(s19,plain,
spl60_20,
inference(sat_conversion,[],[f702]) ).
cnf(s27,plain,
( ~ spl60_1
| ~ spl60_9
| spl60_33 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s30,plain,
( ~ spl60_9
| ~ spl60_10
| ~ spl60_11
| ~ spl60_15
| ~ spl60_19
| ~ spl60_20
| ~ spl60_33 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s31,plain,
spl60_16,
inference(rat,[],[s17,s19,s18]) ).
cnf(s32,plain,
spl60_11,
inference(rat,[],[s14,s31,s15]) ).
cnf(s33,plain,
~ spl60_33,
inference(rat,[],[s30,s12,s19,s18,s15,s32,s11]) ).
cnf(s34,plain,
~ spl60_1,
inference(rat,[],[s27,s33,s11]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s8,s34]) ).
fof(f1183,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC265+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 % Computer : n013.cluster.edu
% 0.25/0.28 % Model : x86_64 x86_64
% 0.25/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.28 % Memory : 8046.5625MB
% 0.25/0.28 % OS : Linux 6.8.0-71-generic
% 0.25/0.28 % CPULimit : 300
% 0.25/0.28 % WCLimit : 300
% 0.25/0.28 % DateTime : Mon Sep 28 08:45:36 UTC 2026
% 0.25/0.28 % CPUTime :
% 0.25/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.34 Running first-order theorem proving
% 0.25/0.34 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
% 15.80/3.19 % (1032789)Detected formulas, will run a generic FOF schedule.
% 15.80/3.19 % (1032797)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3082144372:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.80/3.19 % (1032800)dis-21_1_sil=8000:lcm=predicate:random_seed=3638855219: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)
% 15.80/3.19 % (1032797)Instruction limit reached!
% 15.80/3.19 % (1032797)------------------------------
% 15.80/3.19 % (1032797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032797)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032797)Termination reason: Instruction limit
% 15.80/3.19 % (1032797)Termination phase: Saturation
% 15.80/3.19 % (1032797)Time elapsed: 0.056 s
% 15.80/3.19 % (1032797)Peak memory usage: 89 MB
% 15.80/3.19 % (1032797)Instructions burned: 111 (million)
% 15.80/3.19 % (1032794)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=4148586269:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.80/3.19 % (1032798)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1112592932:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.80/3.19 % (1032795)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=3552305365:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.80/3.19 % (1032799)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1913770233:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.80/3.19 % (1032800)Instruction limit reached!
% 15.80/3.19 % (1032800)------------------------------
% 15.80/3.19 % (1032800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032800)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032800)Termination reason: Instruction limit
% 15.80/3.19 % (1032800)Termination phase: Saturation
% 15.80/3.19 % (1032800)Time elapsed: 0.110 s
% 15.80/3.19 % (1032800)Peak memory usage: 91 MB
% 15.80/3.19 % (1032800)Instructions burned: 129 (million)
% 15.80/3.19 % (1032796)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=3290190354:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.80/3.19 % (1032798)Instruction limit reached!
% 15.80/3.19 % (1032798)------------------------------
% 15.80/3.19 % (1032798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032798)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032798)Termination reason: Instruction limit
% 15.80/3.19 % (1032798)Termination phase: Saturation
% 15.80/3.19 % (1032798)Time elapsed: 0.112 s
% 15.80/3.19 % (1032798)Peak memory usage: 88 MB
% 15.80/3.19 % (1032798)Instructions burned: 120 (million)
% 15.80/3.19 % (1032799)Instruction limit reached!
% 15.80/3.19 % (1032799)------------------------------
% 15.80/3.19 % (1032799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032799)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032799)Termination reason: Instruction limit
% 15.80/3.19 % (1032799)Termination phase: Saturation
% 15.80/3.19 % (1032799)Time elapsed: 0.145 s
% 15.80/3.19 % (1032799)Peak memory usage: 90 MB
% 15.80/3.19 % (1032799)Instructions burned: 139 (million)
% 15.80/3.19 % (1032803)lrs+10_1_sil=8000:sp=occurrence:random_seed=2175482367:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.80/3.19 % (1032808)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1574152634:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.80/3.19 % (1032803)Instruction limit reached!
% 15.80/3.19 % (1032803)------------------------------
% 15.80/3.19 % (1032803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032803)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032803)Termination reason: Instruction limit
% 15.80/3.19 % (1032803)Termination phase: Saturation
% 15.80/3.19 % (1032803)Time elapsed: 0.143 s
% 15.80/3.19 % (1032803)Peak memory usage: 93 MB
% 15.80/3.19 % (1032803)Instructions burned: 287 (million)
% 15.80/3.19 % (1032808)Instruction limit reached!
% 15.80/3.19 % (1032808)------------------------------
% 15.80/3.19 % (1032808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032808)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032808)Termination reason: Instruction limit
% 15.80/3.19 % (1032808)Termination phase: Saturation
% 15.80/3.19 % (1032808)Time elapsed: 0.135 s
% 15.80/3.19 % (1032808)Peak memory usage: 91 MB
% 15.80/3.19 % (1032808)Instructions burned: 157 (million)
% 15.80/3.19 % (1032810)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1815350668:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 15.80/3.19 % (1032811)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=2130551590:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.80/3.19 % (1032816)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3244485343:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 15.80/3.19 % (1032817)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1313067788:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 15.80/3.19 % (1032811)Instruction limit reached!
% 15.80/3.19 % (1032811)------------------------------
% 15.80/3.19 % (1032811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032811)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032811)Termination reason: Instruction limit
% 15.80/3.19 % (1032811)Termination phase: Saturation
% 15.80/3.19 % (1032811)Time elapsed: 0.206 s
% 15.80/3.19 % (1032811)Peak memory usage: 94 MB
% 15.80/3.19 % (1032811)Instructions burned: 248 (million)
% 15.80/3.19 % (1032810)Instruction limit reached!
% 15.80/3.19 % (1032810)------------------------------
% 15.80/3.19 % (1032810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032810)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032810)Termination reason: Instruction limit
% 15.80/3.19 % (1032810)Termination phase: Saturation
% 15.80/3.19 % (1032810)Time elapsed: 0.329 s
% 15.80/3.19 % (1032810)Peak memory usage: 92 MB
% 15.80/3.19 % (1032810)Instructions burned: 326 (million)
% 15.80/3.19 % (1032816)Instruction limit reached!
% 15.80/3.19 % (1032816)------------------------------
% 15.80/3.19 % (1032816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032816)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032816)Termination reason: Instruction limit
% 15.80/3.19 % (1032816)Termination phase: Saturation
% 15.80/3.19 % (1032816)Time elapsed: 0.238 s
% 15.80/3.19 % (1032816)Peak memory usage: 89 MB
% 15.80/3.19 % (1032816)Instructions burned: 295 (million)
% 15.80/3.19 % (1032822)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3234628442:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 15.80/3.19 % (1032822)Instruction limit reached!
% 15.80/3.19 % (1032822)------------------------------
% 15.80/3.19 % (1032822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032822)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032822)Termination reason: Instruction limit
% 15.80/3.19 % (1032822)Termination phase: Saturation
% 15.80/3.19 % (1032822)Time elapsed: 0.110 s
% 15.80/3.19 % (1032822)Peak memory usage: 90 MB
% 15.80/3.19 % (1032822)Instructions burned: 113 (million)
% 15.80/3.19 % (1032823)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2496853036:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 15.80/3.19 % (1032824)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4237025084:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 15.80/3.19 % (1032823)Instruction limit reached!
% 15.80/3.19 % (1032823)------------------------------
% 15.80/3.19 % (1032823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032823)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032823)Termination reason: Instruction limit
% 15.80/3.19 % (1032823)Termination phase: Saturation
% 15.80/3.19 % (1032823)Time elapsed: 0.110 s
% 15.80/3.19 % (1032823)Peak memory usage: 89 MB
% 15.80/3.19 % (1032823)Instructions burned: 127 (million)
% 15.80/3.19 % (1032824)Instruction limit reached!
% 15.80/3.19 % (1032824)------------------------------
% 15.80/3.19 % (1032824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032824)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032824)Termination reason: Instruction limit
% 15.80/3.19 % (1032824)Termination phase: Saturation
% 15.80/3.19 % (1032824)Time elapsed: 0.110 s
% 15.80/3.19 % (1032824)Peak memory usage: 90 MB
% 15.80/3.19 % (1032824)Instructions burned: 114 (million)
% 15.80/3.19 % (1032794)First to succeed.
% 15.80/3.19 % (1032794)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1032789"
% 15.80/3.19 % (1032817)Also succeeded, but the first one will report.
% 15.80/3.19 % (1032826)lrs+10_1_sil=8000:sp=occurrence:random_seed=1097826:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 15.80/3.19 % (1032829)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3854520253:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 15.80/3.19 % (1032830)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1611677008:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 15.80/3.19 % (1032833)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=173354565:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 15.80/3.19 % (1032833)Instruction limit reached!
% 15.80/3.19 % (1032833)------------------------------
% 15.80/3.19 % (1032833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032833)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032833)Termination reason: Instruction limit
% 15.80/3.19 % (1032833)Termination phase: Saturation
% 15.80/3.19 % (1032833)Time elapsed: 0.056 s
% 15.80/3.19 % (1032833)Peak memory usage: 91 MB
% 15.80/3.19 % (1032833)Instructions burned: 134 (million)
% 15.80/3.19 % (1032829)Instruction limit reached!
% 15.80/3.19 % (1032829)------------------------------
% 15.80/3.19 % (1032829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.19 % (1032829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.19 % (1032829)CaDiCaL version: 2.1.3
% 15.80/3.19 % (1032829)Termination reason: Instruction limit
% 15.80/3.19 % (1032829)Termination phase: Saturation
% 15.80/3.19 % (1032829)Time elapsed: 0.426 s
% 15.80/3.19 % (1032829)Peak memory usage: 92 MB
% 15.80/3.19 % (1032829)Instructions burned: 437 (million)
% 15.80/3.19 % (1032836)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=752817030:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 15.80/3.19 % (1032794)Refutation found. Thanks to Tanya!
% 15.80/3.19 % SZS status Theorem for theBenchmark
% 15.80/3.19 % SZS output start Proof for theBenchmark
% See solution above
% 16.31/3.37 % (1032794)------------------------------
% 16.31/3.37 % (1032794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.31/3.37 % (1032794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/3.37 % (1032794)CaDiCaL version: 2.1.3
% 16.31/3.37 % (1032794)Termination reason: Refutation
% 16.31/3.37 % (1032794)Time elapsed: 1.191 s
% 16.31/3.37 % (1032794)Peak memory usage: 132 MB
% 16.31/3.37 % (1032794)Instructions burned: 1166 (million)
% 16.31/3.37 % (1032794)------------------------------
% 16.31/3.37 % (1032794)------------------------------
% 16.31/3.37 % (1032789)Success in time 2.245 s
% 16.31/3.37 % Vampire exiting
%------------------------------------------------------------------------------