%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX026+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:45:42 PM UTC 2026
% Result : Theorem 4.78s 1.48s
% Output : Refutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 180 ( 21 unt; 13 def)
% Number of atoms : 674 ( 203 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 817 ( 323 ~; 394 |; 68 &)
% ( 15 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 234 ( 0 sgn 184 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : nil != cons(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id5) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( cons(X0,X1) = cons(X2,X3)
=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id8) ).
fof(f42,axiom,
! [X0,X1,X2] :
( append_succeeds(X0,X1,X2)
<=> ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X2 = cons(X3,X5)
& append_succeeds(X4,X1,X5) )
| ( X0 = nil
& X2 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id42) ).
fof(f159,axiom,
! [X0,X1,X2] :
( list_succeeds(X0)
=> ( '**'(X0,X1) = X2
<=> append_succeeds(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','(**)/2') ).
fof(f171,axiom,
! [X0,X1,X2] :
( append_succeeds(X0,X1,X2)
=> list_succeeds(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(append:types:1)') ).
fof(f181,axiom,
! [X0] : '**'(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','corollary-(app:nil)') ).
fof(f226,axiom,
( ! [X0,X1,X2] :
( ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X2 = cons(X3,X5)
& append_succeeds(X4,X1,X5)
& ! [X6] :
( append_succeeds(X4,X6,X5)
=> X1 = X6 ) )
| ( X0 = nil
& X2 = X1 ) )
=> ! [X6] :
( append_succeeds(X0,X6,X2)
=> X1 = X6 ) )
=> ! [X0,X1,X2] :
( append_succeeds(X0,X1,X2)
=> ! [X6] :
( append_succeeds(X0,X6,X2)
=> X1 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f227,conjecture,
! [X0,X1,X2,X3] :
( ( append_succeeds(X0,X1,X2)
& append_succeeds(X0,X3,X2) )
=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(append:uniqueness:2)') ).
fof(f228,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( append_succeeds(X0,X1,X2)
& append_succeeds(X0,X3,X2) )
=> X1 = X3 ),
inference(negated_conjecture,[status(cth)],[f227]) ).
fof(f249,plain,
( ! [X0,X1,X2] :
( ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X2 = cons(X3,X5)
& append_succeeds(X4,X1,X5)
& ! [X6] :
( append_succeeds(X4,X6,X5)
=> X1 = X6 ) )
| ( X0 = nil
& X2 = X1 ) )
=> ! [X7] :
( append_succeeds(X0,X7,X2)
=> X1 = X7 ) )
=> ! [X8,X9,X10] :
( append_succeeds(X8,X9,X10)
=> ! [X11] :
( append_succeeds(X8,X11,X10)
=> X9 = X11 ) ) ),
inference(rectify,[],[f226]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f428,plain,
! [X0,X1,X2] :
( ( '**'(X0,X1) = X2
<=> append_succeeds(X0,X1,X2) )
| ~ list_succeeds(X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f440,plain,
! [X0,X1,X2] :
( list_succeeds(X0)
| ~ append_succeeds(X0,X1,X2) ),
inference(ennf_transformation,[],[f171]) ).
fof(f522,plain,
( ! [X8,X9,X10] :
( ! [X11] :
( X9 = X11
| ~ append_succeeds(X8,X11,X10) )
| ~ append_succeeds(X8,X9,X10) )
| ? [X0,X1,X2] :
( ? [X7] :
( X1 != X7
& append_succeeds(X0,X7,X2) )
& ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X2 = cons(X3,X5)
& append_succeeds(X4,X1,X5)
& ! [X6] :
( X1 = X6
| ~ append_succeeds(X4,X6,X5) ) )
| ( X0 = nil
& X2 = X1 ) ) ) ),
inference(ennf_transformation,[],[f249]) ).
fof(f523,plain,
? [X0,X1,X2,X3] :
( X1 != X3
& append_succeeds(X0,X1,X2)
& append_succeeds(X0,X3,X2) ),
inference(ennf_transformation,[],[f228]) ).
fof(f524,plain,
? [X0,X1,X2,X3] :
( X1 != X3
& append_succeeds(X0,X1,X2)
& append_succeeds(X0,X3,X2) ),
inference(flattening,[],[f523]) ).
fof(f525,definition,
! [X0,X2,X1] :
( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X2 = cons(X3,X5)
& append_succeeds(X4,X1,X5)
& ! [X6] :
( X1 = X6
| ~ append_succeeds(X4,X6,X5) ) )
| ( X0 = nil
& X2 = X1 )
| ~ sP0(X0,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f526,plain,
( ! [X8,X9,X10] :
( ! [X11] :
( X9 = X11
| ~ append_succeeds(X8,X11,X10) )
| ~ append_succeeds(X8,X9,X10) )
| ? [X0,X1,X2] :
( ? [X7] :
( X1 != X7
& append_succeeds(X0,X7,X2) )
& sP0(X0,X2,X1) ) ),
inference(definition_folding,[],[f522,f525]) ).
fof(f552,plain,
! [X0,X1,X2] :
( ( append_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X0
| cons(X3,X5) != X2
| ~ append_succeeds(X4,X1,X5) )
& ( nil != X0
| X1 != X2 ) ) )
& ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X2 = cons(X3,X5)
& append_succeeds(X4,X1,X5) )
| ( X0 = nil
& X2 = X1 )
| ~ append_succeeds(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f553,plain,
! [X0,X1,X2] :
( ( append_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X0
| cons(X3,X5) != X2
| ~ append_succeeds(X4,X1,X5) )
& ( nil != X0
| X1 != X2 ) ) )
& ( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X2 = cons(X3,X5)
& append_succeeds(X4,X1,X5) )
| ( X0 = nil
& X2 = X1 )
| ~ append_succeeds(X0,X1,X2) ) ),
inference(flattening,[],[f552]) ).
fof(f554,plain,
! [X0,X1,X2] :
( ( append_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X0
| cons(X3,X5) != X2
| ~ append_succeeds(X4,X1,X5) )
& ( nil != X0
| X1 != X2 ) ) )
& ( ? [X6,X7,X8] :
( cons(X6,X7) = X0
& cons(X6,X8) = X2
& append_succeeds(X7,X1,X8) )
| ( X0 = nil
& X2 = X1 )
| ~ append_succeeds(X0,X1,X2) ) ),
inference(rectify,[],[f553]) ).
fof(f555,plain,
! [X0,X1,X2] :
( ( append_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X0
| cons(X3,X5) != X2
| ~ append_succeeds(X4,X1,X5) )
& ( nil != X0
| X1 != X2 ) ) )
& ( ( cons(sK19(X0,X1,X2),sK20(X0,X1,X2)) = X0
& cons(sK19(X0,X1,X2),sK21(X0,X1,X2)) = X2
& append_succeeds(sK20(X0,X1,X2),X1,sK21(X0,X1,X2)) )
| ( X0 = nil
& X2 = X1 )
| ~ append_succeeds(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X6,sK19(X0,X1,X2)),skolemize(X7,sK20(X0,X1,X2)),skolemize(X8,sK21(X0,X1,X2))],[f554]) ).
fof(f658,plain,
! [X0,X1,X2] :
( ( ( '**'(X0,X1) = X2
| ~ append_succeeds(X0,X1,X2) )
& ( append_succeeds(X0,X1,X2)
| '**'(X0,X1) != X2 ) )
| ~ list_succeeds(X0) ),
inference(nnf_transformation,[],[f428]) ).
fof(f668,plain,
! [X0,X2,X1] :
( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& X2 = cons(X3,X5)
& append_succeeds(X4,X1,X5)
& ! [X6] :
( X1 = X6
| ~ append_succeeds(X4,X6,X5) ) )
| ( X0 = nil
& X2 = X1 )
| ~ sP0(X0,X2,X1) ),
inference(nnf_transformation,[],[f525]) ).
fof(f669,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X0 = cons(X3,X4)
& cons(X3,X5) = X1
& append_succeeds(X4,X2,X5)
& ! [X6] :
( X2 = X6
| ~ append_succeeds(X4,X6,X5) ) )
| ( X0 = nil
& X2 = X1 )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f668]) ).
fof(f670,plain,
! [X0,X1,X2] :
( ( cons(sK91(X0,X1,X2),sK92(X0,X1,X2)) = X0
& cons(sK91(X0,X1,X2),sK93(X0,X1,X2)) = X1
& append_succeeds(sK92(X0,X1,X2),X2,sK93(X0,X1,X2))
& ! [X6] :
( X2 = X6
| ~ append_succeeds(sK92(X0,X1,X2),X6,sK93(X0,X1,X2)) ) )
| ( X0 = nil
& X2 = X1 )
| ~ sP0(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91,sK92,sK93]),skolemize(X3,sK91(X0,X1,X2)),skolemize(X4,sK92(X0,X1,X2)),skolemize(X5,sK93(X0,X1,X2))],[f669]) ).
fof(f671,plain,
( ! [X0,X1,X2] :
( ! [X3] :
( X1 = X3
| ~ append_succeeds(X0,X3,X2) )
| ~ append_succeeds(X0,X1,X2) )
| ? [X4,X5,X6] :
( ? [X7] :
( X5 != X7
& append_succeeds(X4,X7,X6) )
& sP0(X4,X6,X5) ) ),
inference(rectify,[],[f526]) ).
fof(f672,plain,
( ! [X0,X1,X2] :
( ! [X3] :
( X1 = X3
| ~ append_succeeds(X0,X3,X2) )
| ~ append_succeeds(X0,X1,X2) )
| ( sK95 != sK97
& append_succeeds(sK94,sK97,sK96)
& sP0(sK94,sK96,sK95) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94,sK95,sK96,sK97]),skolemize(X4,sK94),skolemize(X5,sK95),skolemize(X6,sK96),skolemize(X7,sK97)],[f671]) ).
fof(f673,plain,
( sK99 != sK101
& append_succeeds(sK98,sK99,sK100)
& append_succeeds(sK98,sK101,sK100) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98,sK99,sK100,sK101]),skolemize(X0,sK98),skolemize(X1,sK99),skolemize(X2,sK100),skolemize(X3,sK101)],[f524]) ).
fof(f678,plain,
! [X0,X1] : nil != cons(X0,X1),
inference(cnf_transformation,[],[f5]) ).
fof(f681,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f251]) ).
fof(f746,plain,
! [X2,X0,X1] :
( append_succeeds(sK20(X0,X1,X2),X1,sK21(X0,X1,X2))
| X1 = X2
| ~ append_succeeds(X0,X1,X2) ),
inference(cnf_transformation,[],[f555]) ).
fof(f747,plain,
! [X2,X0,X1] :
( append_succeeds(sK20(X0,X1,X2),X1,sK21(X0,X1,X2))
| nil = X0
| ~ append_succeeds(X0,X1,X2) ),
inference(cnf_transformation,[],[f555]) ).
fof(f748,plain,
! [X2,X0,X1] :
( ~ append_succeeds(X0,X1,X2)
| X1 = X2
| cons(sK19(X0,X1,X2),sK21(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f555]) ).
fof(f749,plain,
! [X2,X0,X1] :
( ~ append_succeeds(X0,X1,X2)
| nil = X0
| cons(sK19(X0,X1,X2),sK21(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f555]) ).
fof(f751,plain,
! [X2,X0,X1] :
( ~ append_succeeds(X0,X1,X2)
| nil = X0
| cons(sK19(X0,X1,X2),sK20(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f555]) ).
fof(f980,plain,
! [X2,X0,X1] :
( '**'(X0,X1) = X2
| ~ append_succeeds(X0,X1,X2)
| ~ list_succeeds(X0) ),
inference(cnf_transformation,[],[f658]) ).
fof(f995,plain,
! [X2,X0,X1] :
( ~ append_succeeds(X0,X1,X2)
| list_succeeds(X0) ),
inference(cnf_transformation,[],[f440]) ).
fof(f1007,plain,
! [X0] : '**'(nil,X0) = X0,
inference(cnf_transformation,[],[f181]) ).
fof(f1055,plain,
! [X2,X0,X1,X6] :
( ~ append_succeeds(sK92(X0,X1,X2),X6,sK93(X0,X1,X2))
| X2 = X6
| nil = X0
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f670]) ).
fof(f1058,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| X1 = X2
| cons(sK91(X0,X1,X2),sK93(X0,X1,X2)) = X1 ),
inference(cnf_transformation,[],[f670]) ).
fof(f1059,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| nil = X0
| cons(sK91(X0,X1,X2),sK93(X0,X1,X2)) = X1 ),
inference(cnf_transformation,[],[f670]) ).
fof(f1060,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| X1 = X2
| cons(sK91(X0,X1,X2),sK92(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f670]) ).
fof(f1061,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| nil = X0
| cons(sK91(X0,X1,X2),sK92(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f670]) ).
fof(f1062,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| ~ append_succeeds(X0,X3,X2)
| ~ append_succeeds(X0,X1,X2)
| sP0(sK94,sK96,sK95) ),
inference(cnf_transformation,[],[f672]) ).
fof(f1063,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| ~ append_succeeds(X0,X3,X2)
| ~ append_succeeds(X0,X1,X2)
| append_succeeds(sK94,sK97,sK96) ),
inference(cnf_transformation,[],[f672]) ).
fof(f1064,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| ~ append_succeeds(X0,X3,X2)
| ~ append_succeeds(X0,X1,X2)
| sK95 != sK97 ),
inference(cnf_transformation,[],[f672]) ).
fof(f1065,plain,
append_succeeds(sK98,sK101,sK100),
inference(cnf_transformation,[],[f673]) ).
fof(f1066,plain,
append_succeeds(sK98,sK99,sK100),
inference(cnf_transformation,[],[f673]) ).
fof(f1067,plain,
sK99 != sK101,
inference(cnf_transformation,[],[f673]) ).
fof(f1157,definition,
( spl102_1
<=> sP0(sK94,sK96,sK95) ),
introduced(definition,[new_symbols(definition,[spl102_1])],[avatar_definition]) ).
fof(f1159,plain,
( sP0(sK94,sK96,sK95)
| ~ spl102_1 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1161,definition,
( spl102_2
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| ~ append_succeeds(X0,X1,X2)
| ~ append_succeeds(X0,X3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl102_2])],[avatar_definition]) ).
fof(f1162,plain,
( ! [X2,X3,X0,X1] :
( ~ append_succeeds(X0,X3,X2)
| ~ append_succeeds(X0,X1,X2)
| X1 = X3 )
| ~ spl102_2 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1163,plain,
( spl102_1
| spl102_2 ),
inference(avatar_split_clause,[],[f1062,f1161,f1157]) ).
fof(f1165,definition,
( spl102_3
<=> append_succeeds(sK94,sK97,sK96) ),
introduced(definition,[new_symbols(definition,[spl102_3])],[avatar_definition]) ).
fof(f1167,plain,
( append_succeeds(sK94,sK97,sK96)
| ~ spl102_3 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1168,plain,
( spl102_3
| spl102_2 ),
inference(avatar_split_clause,[],[f1063,f1161,f1165]) ).
fof(f1170,definition,
( spl102_4
<=> sK95 = sK97 ),
introduced(definition,[new_symbols(definition,[spl102_4])],[avatar_definition]) ).
fof(f1172,plain,
( sK95 != sK97
| spl102_4 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1173,plain,
( ~ spl102_4
| spl102_2 ),
inference(avatar_split_clause,[],[f1064,f1161,f1170]) ).
fof(f1175,plain,
! [X2,X0,X1] :
( ~ append_succeeds(X0,X1,X2)
| '**'(X0,X1) = X2 ),
inference(forward_subsumption_resolution,[],[f980,f995]) ).
fof(f1176,plain,
( ! [X0] :
( ~ append_succeeds(sK98,X0,sK100)
| sK101 = X0 )
| ~ spl102_2 ),
inference(resolution,[],[f1162,f1065]) ).
fof(f1179,plain,
( sK99 = sK101
| ~ spl102_2 ),
inference(resolution,[],[f1176,f1066]) ).
fof(f1180,plain,
( $false
| ~ spl102_2 ),
inference(forward_subsumption_resolution,[],[f1179,f1067]) ).
fof(f1181,plain,
~ spl102_2,
inference(avatar_contradiction_clause,[],[f1180]) ).
fof(f1210,plain,
( sK96 = '**'(sK94,sK97)
| ~ spl102_3 ),
inference(resolution,[],[f1175,f1167]) ).
fof(f1230,plain,
( sK95 = sK96
| sK94 = cons(sK91(sK94,sK96,sK95),sK92(sK94,sK96,sK95))
| ~ spl102_1 ),
inference(resolution,[],[f1060,f1159]) ).
fof(f1232,definition,
( spl102_10
<=> sK94 = cons(sK91(sK94,sK96,sK95),sK92(sK94,sK96,sK95)) ),
introduced(definition,[new_symbols(definition,[spl102_10])],[avatar_definition]) ).
fof(f1233,plain,
( sK94 != cons(sK91(sK94,sK96,sK95),sK92(sK94,sK96,sK95))
| spl102_10 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1234,plain,
( sK94 = cons(sK91(sK94,sK96,sK95),sK92(sK94,sK96,sK95))
| ~ spl102_10 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1236,definition,
( spl102_11
<=> sK95 = sK96 ),
introduced(definition,[new_symbols(definition,[spl102_11])],[avatar_definition]) ).
fof(f1237,plain,
( sK95 != sK96
| spl102_11 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1238,plain,
( sK95 = sK96
| ~ spl102_11 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1239,plain,
( spl102_10
| spl102_11
| ~ spl102_1 ),
inference(avatar_split_clause,[],[f1230,f1157,f1236,f1232]) ).
fof(f1249,plain,
( sK95 = sK96
| sK96 = cons(sK91(sK94,sK96,sK95),sK93(sK94,sK96,sK95))
| ~ spl102_1 ),
inference(resolution,[],[f1058,f1159]) ).
fof(f1251,definition,
( spl102_14
<=> sK96 = cons(sK91(sK94,sK96,sK95),sK93(sK94,sK96,sK95)) ),
introduced(definition,[new_symbols(definition,[spl102_14])],[avatar_definition]) ).
fof(f1252,plain,
( sK96 != cons(sK91(sK94,sK96,sK95),sK93(sK94,sK96,sK95))
| spl102_14 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1253,plain,
( sK96 = cons(sK91(sK94,sK96,sK95),sK93(sK94,sK96,sK95))
| ~ spl102_14 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1254,plain,
( spl102_14
| spl102_11
| ~ spl102_1 ),
inference(avatar_split_clause,[],[f1249,f1157,f1236,f1251]) ).
fof(f1282,plain,
( nil = sK94
| sK94 = cons(sK91(sK94,sK96,sK95),sK92(sK94,sK96,sK95))
| ~ spl102_1 ),
inference(resolution,[],[f1061,f1159]) ).
fof(f1284,plain,
( nil = sK94
| sK96 = cons(sK91(sK94,sK96,sK95),sK93(sK94,sK96,sK95))
| ~ spl102_1 ),
inference(resolution,[],[f1059,f1159]) ).
fof(f1287,definition,
( spl102_17
<=> sK95 = cons(sK91(sK94,sK95,sK95),sK93(sK94,sK95,sK95)) ),
introduced(definition,[new_symbols(definition,[spl102_17])],[avatar_definition]) ).
fof(f1289,plain,
( sK95 = cons(sK91(sK94,sK95,sK95),sK93(sK94,sK95,sK95))
| ~ spl102_17 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1291,definition,
( spl102_18
<=> nil = sK94 ),
introduced(definition,[new_symbols(definition,[spl102_18])],[avatar_definition]) ).
fof(f1292,plain,
( nil != sK94
| spl102_18 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1293,plain,
( nil = sK94
| ~ spl102_18 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1295,plain,
( sK95 = cons(sK91(sK94,sK95,sK95),sK93(sK94,sK95,sK95))
| nil = sK94
| ~ spl102_1
| ~ spl102_11 ),
inference(forward_demodulation,[],[f1284,f1238]) ).
fof(f1296,plain,
( spl102_18
| spl102_17
| ~ spl102_1
| ~ spl102_11 ),
inference(avatar_split_clause,[],[f1295,f1236,f1157,f1287,f1291]) ).
fof(f1324,plain,
( sK96 = sK97
| sK96 = cons(sK19(sK94,sK97,sK96),sK21(sK94,sK97,sK96))
| ~ spl102_3 ),
inference(resolution,[],[f748,f1167]) ).
fof(f1327,definition,
( spl102_21
<=> sK96 = cons(sK19(sK94,sK97,sK96),sK21(sK94,sK97,sK96)) ),
introduced(definition,[new_symbols(definition,[spl102_21])],[avatar_definition]) ).
fof(f1328,plain,
( sK96 != cons(sK19(sK94,sK97,sK96),sK21(sK94,sK97,sK96))
| spl102_21 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1329,plain,
( sK96 = cons(sK19(sK94,sK97,sK96),sK21(sK94,sK97,sK96))
| ~ spl102_21 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1331,definition,
( spl102_22
<=> sK96 = sK97 ),
introduced(definition,[new_symbols(definition,[spl102_22])],[avatar_definition]) ).
fof(f1332,plain,
( sK96 != sK97
| spl102_22 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1333,plain,
( sK96 = sK97
| ~ spl102_22 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1334,plain,
( spl102_21
| spl102_22
| ~ spl102_3 ),
inference(avatar_split_clause,[],[f1324,f1165,f1331,f1327]) ).
fof(f1366,plain,
( nil = sK94
| sK96 = cons(sK19(sK94,sK97,sK96),sK21(sK94,sK97,sK96))
| ~ spl102_3 ),
inference(resolution,[],[f749,f1167]) ).
fof(f1370,plain,
( nil = sK94
| sK94 = cons(sK19(sK94,sK97,sK96),sK20(sK94,sK97,sK96))
| ~ spl102_3 ),
inference(resolution,[],[f751,f1167]) ).
fof(f1373,definition,
( spl102_29
<=> sK94 = cons(sK19(sK94,sK97,sK96),sK20(sK94,sK97,sK96)) ),
introduced(definition,[new_symbols(definition,[spl102_29])],[avatar_definition]) ).
fof(f1375,plain,
( sK94 = cons(sK19(sK94,sK97,sK96),sK20(sK94,sK97,sK96))
| ~ spl102_29 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1376,plain,
( spl102_29
| spl102_18
| ~ spl102_3 ),
inference(avatar_split_clause,[],[f1370,f1165,f1291,f1373]) ).
fof(f1394,plain,
( sK96 = '**'(nil,sK97)
| ~ spl102_3
| ~ spl102_18 ),
inference(superposition,[],[f1210,f1293]) ).
fof(f1396,plain,
( nil = cons(sK91(nil,sK96,sK95),sK92(nil,sK96,sK95))
| ~ spl102_10
| ~ spl102_18 ),
inference(superposition,[],[f1234,f1293]) ).
fof(f1402,plain,
( $false
| ~ spl102_10
| ~ spl102_18 ),
inference(forward_subsumption_resolution,[],[f1396,f678]) ).
fof(f1403,plain,
( ~ spl102_10
| ~ spl102_18 ),
inference(avatar_contradiction_clause,[],[f1402]) ).
fof(f1404,plain,
( sK96 = sK97
| ~ spl102_3
| ~ spl102_18 ),
inference(forward_demodulation,[],[f1394,f1007]) ).
fof(f1405,plain,
( spl102_22
| ~ spl102_3
| ~ spl102_18 ),
inference(avatar_split_clause,[],[f1404,f1291,f1165,f1331]) ).
fof(f1410,plain,
( sK95 = sK97
| ~ spl102_11
| ~ spl102_22 ),
inference(forward_demodulation,[],[f1333,f1238]) ).
fof(f1411,plain,
( $false
| spl102_4
| ~ spl102_11
| ~ spl102_22 ),
inference(forward_subsumption_resolution,[],[f1410,f1172]) ).
fof(f1412,plain,
( spl102_4
| ~ spl102_11
| ~ spl102_22 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1413,plain,
( append_succeeds(sK94,sK96,sK96)
| ~ spl102_3
| ~ spl102_22 ),
inference(superposition,[],[f1167,f1333]) ).
fof(f1510,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK96
| sK93(sK94,sK96,sK95) = X1 )
| ~ spl102_14 ),
inference(superposition,[],[f681,f1253]) ).
fof(f1511,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK94
| sK92(sK94,sK96,sK95) = X1 )
| ~ spl102_10 ),
inference(superposition,[],[f681,f1234]) ).
fof(f1593,plain,
( sK96 != sK96
| sK93(sK94,sK96,sK95) = sK21(sK94,sK97,sK96)
| ~ spl102_14
| ~ spl102_21 ),
inference(superposition,[],[f1510,f1329]) ).
fof(f1599,plain,
( sK93(sK94,sK96,sK95) = sK21(sK94,sK97,sK96)
| ~ spl102_14
| ~ spl102_21 ),
inference(trivial_inequality_removal,[],[f1593]) ).
fof(f1617,plain,
( sK93(sK94,sK96,sK95) = sK21(sK94,sK96,sK96)
| ~ spl102_14
| ~ spl102_21
| ~ spl102_22 ),
inference(forward_demodulation,[],[f1599,f1333]) ).
fof(f1638,plain,
( sK94 != sK94
| sK92(sK94,sK96,sK95) = sK20(sK94,sK97,sK96)
| ~ spl102_10
| ~ spl102_29 ),
inference(superposition,[],[f1511,f1375]) ).
fof(f1643,plain,
( sK92(sK94,sK96,sK95) = sK20(sK94,sK97,sK96)
| ~ spl102_10
| ~ spl102_29 ),
inference(trivial_inequality_removal,[],[f1638]) ).
fof(f1660,plain,
( sK92(sK94,sK96,sK95) = sK20(sK94,sK96,sK96)
| ~ spl102_10
| ~ spl102_22
| ~ spl102_29 ),
inference(forward_demodulation,[],[f1643,f1333]) ).
fof(f2019,plain,
( append_succeeds(sK20(sK94,sK96,sK96),sK96,sK93(sK94,sK96,sK95))
| nil = sK94
| ~ append_succeeds(sK94,sK96,sK96)
| ~ spl102_14
| ~ spl102_21
| ~ spl102_22 ),
inference(superposition,[],[f747,f1617]) ).
fof(f2020,plain,
( append_succeeds(sK20(sK94,sK96,sK96),sK96,sK93(sK94,sK96,sK95))
| ~ append_succeeds(sK94,sK96,sK96)
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22 ),
inference(forward_subsumption_resolution,[],[f2019,f1292]) ).
fof(f2022,plain,
( append_succeeds(sK20(sK94,sK96,sK96),sK96,sK93(sK94,sK96,sK95))
| ~ spl102_3
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22 ),
inference(forward_subsumption_resolution,[],[f2020,f1413]) ).
fof(f2024,plain,
( append_succeeds(sK92(sK94,sK96,sK95),sK96,sK93(sK94,sK96,sK95))
| ~ spl102_3
| ~ spl102_10
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22
| ~ spl102_29 ),
inference(forward_demodulation,[],[f2022,f1660]) ).
fof(f2026,plain,
( sK95 = sK96
| nil = sK94
| ~ sP0(sK94,sK96,sK95)
| ~ spl102_3
| ~ spl102_10
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22
| ~ spl102_29 ),
inference(resolution,[],[f2024,f1055]) ).
fof(f2063,plain,
( nil = sK94
| ~ sP0(sK94,sK96,sK95)
| ~ spl102_3
| ~ spl102_10
| spl102_11
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22
| ~ spl102_29 ),
inference(forward_subsumption_resolution,[],[f2026,f1237]) ).
fof(f2066,plain,
( ~ sP0(sK94,sK96,sK95)
| ~ spl102_3
| ~ spl102_10
| spl102_11
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22
| ~ spl102_29 ),
inference(forward_subsumption_resolution,[],[f2063,f1292]) ).
fof(f2067,plain,
( $false
| ~ spl102_1
| ~ spl102_3
| ~ spl102_10
| spl102_11
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22
| ~ spl102_29 ),
inference(forward_subsumption_resolution,[],[f2066,f1159]) ).
fof(f2068,plain,
( ~ spl102_1
| ~ spl102_3
| ~ spl102_10
| spl102_11
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22
| ~ spl102_29 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2069,plain,
( sK96 != cons(sK19(sK94,sK96,sK96),sK21(sK94,sK96,sK96))
| spl102_21
| ~ spl102_22 ),
inference(forward_demodulation,[],[f1328,f1333]) ).
fof(f2070,plain,
( sK96 = cons(sK19(sK94,sK97,sK96),sK21(sK94,sK97,sK96))
| ~ spl102_3
| spl102_18 ),
inference(forward_subsumption_resolution,[],[f1366,f1292]) ).
fof(f2072,plain,
( sK96 = cons(sK19(sK94,sK96,sK96),sK21(sK94,sK96,sK96))
| ~ spl102_3
| spl102_18
| ~ spl102_22 ),
inference(forward_demodulation,[],[f2070,f1333]) ).
fof(f2075,plain,
( $false
| ~ spl102_3
| spl102_18
| spl102_21
| ~ spl102_22 ),
inference(forward_subsumption_resolution,[],[f2072,f2069]) ).
fof(f2076,plain,
( ~ spl102_3
| spl102_18
| spl102_21
| ~ spl102_22 ),
inference(avatar_contradiction_clause,[],[f2075]) ).
fof(f2097,plain,
( append_succeeds(sK20(sK94,sK97,sK96),sK97,sK93(sK94,sK96,sK95))
| sK96 = sK97
| ~ append_succeeds(sK94,sK97,sK96)
| ~ spl102_14
| ~ spl102_21 ),
inference(superposition,[],[f746,f1599]) ).
fof(f2098,plain,
( append_succeeds(sK20(sK94,sK97,sK96),sK97,sK93(sK94,sK96,sK95))
| ~ append_succeeds(sK94,sK97,sK96)
| ~ spl102_14
| ~ spl102_21
| spl102_22 ),
inference(forward_subsumption_resolution,[],[f2097,f1332]) ).
fof(f2100,plain,
( append_succeeds(sK20(sK94,sK97,sK96),sK97,sK93(sK94,sK96,sK95))
| ~ spl102_3
| ~ spl102_14
| ~ spl102_21
| spl102_22 ),
inference(forward_subsumption_resolution,[],[f2098,f1167]) ).
fof(f2102,plain,
( append_succeeds(sK92(sK94,sK96,sK95),sK97,sK93(sK94,sK96,sK95))
| ~ spl102_3
| ~ spl102_10
| ~ spl102_14
| ~ spl102_21
| spl102_22
| ~ spl102_29 ),
inference(forward_demodulation,[],[f2100,f1643]) ).
fof(f2113,plain,
( sK95 = sK97
| nil = sK94
| ~ sP0(sK94,sK96,sK95)
| ~ spl102_3
| ~ spl102_10
| ~ spl102_14
| ~ spl102_21
| spl102_22
| ~ spl102_29 ),
inference(resolution,[],[f2102,f1055]) ).
fof(f2145,plain,
( nil = sK94
| ~ sP0(sK94,sK96,sK95)
| ~ spl102_3
| spl102_4
| ~ spl102_10
| ~ spl102_14
| ~ spl102_21
| spl102_22
| ~ spl102_29 ),
inference(forward_subsumption_resolution,[],[f2113,f1172]) ).
fof(f2147,plain,
( ~ sP0(sK94,sK96,sK95)
| ~ spl102_3
| spl102_4
| ~ spl102_10
| ~ spl102_14
| spl102_18
| ~ spl102_21
| spl102_22
| ~ spl102_29 ),
inference(forward_subsumption_resolution,[],[f2145,f1292]) ).
fof(f2150,plain,
( $false
| ~ spl102_1
| ~ spl102_3
| spl102_4
| ~ spl102_10
| ~ spl102_14
| spl102_18
| ~ spl102_21
| spl102_22
| ~ spl102_29 ),
inference(forward_subsumption_resolution,[],[f2147,f1159]) ).
fof(f2151,plain,
( ~ spl102_1
| ~ spl102_3
| spl102_4
| ~ spl102_10
| ~ spl102_14
| spl102_18
| ~ spl102_21
| spl102_22
| ~ spl102_29 ),
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2152,plain,
( sK95 != cons(sK91(sK94,sK95,sK95),sK93(sK94,sK95,sK95))
| ~ spl102_11
| spl102_14 ),
inference(forward_demodulation,[],[f1252,f1238]) ).
fof(f2159,plain,
( $false
| ~ spl102_11
| spl102_14
| ~ spl102_17 ),
inference(forward_subsumption_resolution,[],[f2152,f1289]) ).
fof(f2160,plain,
( ~ spl102_11
| spl102_14
| ~ spl102_17 ),
inference(avatar_contradiction_clause,[],[f2159]) ).
fof(f2162,plain,
( sK94 != cons(sK91(sK94,sK95,sK95),sK92(sK94,sK95,sK95))
| spl102_10
| ~ spl102_11 ),
inference(forward_demodulation,[],[f1233,f1238]) ).
fof(f2172,plain,
( sK94 = cons(sK91(sK94,sK96,sK95),sK92(sK94,sK96,sK95))
| ~ spl102_1
| spl102_18 ),
inference(forward_subsumption_resolution,[],[f1282,f1292]) ).
fof(f2178,plain,
( sK94 = cons(sK91(sK94,sK95,sK95),sK92(sK94,sK95,sK95))
| ~ spl102_1
| ~ spl102_11
| spl102_18 ),
inference(forward_demodulation,[],[f2172,f1238]) ).
fof(f2180,plain,
( $false
| ~ spl102_1
| spl102_10
| ~ spl102_11
| spl102_18 ),
inference(forward_subsumption_resolution,[],[f2178,f2162]) ).
fof(f2181,plain,
( ~ spl102_1
| spl102_10
| ~ spl102_11
| spl102_18 ),
inference(avatar_contradiction_clause,[],[f2180]) ).
cnf(s1,plain,
( spl102_1
| spl102_2 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s2,plain,
( spl102_2
| spl102_3 ),
inference(sat_conversion,[],[f1168]) ).
cnf(s3,plain,
( spl102_2
| ~ spl102_4 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s4,plain,
~ spl102_2,
inference(sat_conversion,[],[f1181]) ).
cnf(s8,plain,
( ~ spl102_1
| spl102_10
| spl102_11 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s10,plain,
( ~ spl102_1
| spl102_11
| spl102_14 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s14,plain,
( ~ spl102_1
| ~ spl102_11
| spl102_17
| spl102_18 ),
inference(sat_conversion,[],[f1296]) ).
cnf(s16,plain,
( ~ spl102_3
| spl102_21
| spl102_22 ),
inference(sat_conversion,[],[f1334]) ).
cnf(s20,plain,
( ~ spl102_3
| spl102_18
| spl102_29 ),
inference(sat_conversion,[],[f1376]) ).
cnf(s23,plain,
( ~ spl102_10
| ~ spl102_18 ),
inference(sat_conversion,[],[f1403]) ).
cnf(s24,plain,
( ~ spl102_3
| ~ spl102_18
| spl102_22 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s25,plain,
( spl102_4
| ~ spl102_11
| ~ spl102_22 ),
inference(sat_conversion,[],[f1412]) ).
cnf(s63,plain,
( ~ spl102_1
| ~ spl102_3
| ~ spl102_10
| spl102_11
| ~ spl102_14
| spl102_18
| ~ spl102_21
| ~ spl102_22
| ~ spl102_29 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s65,plain,
( ~ spl102_3
| spl102_18
| spl102_21
| ~ spl102_22 ),
inference(sat_conversion,[],[f2076]) ).
cnf(s73,plain,
( ~ spl102_1
| ~ spl102_3
| spl102_4
| ~ spl102_10
| ~ spl102_14
| spl102_18
| ~ spl102_21
| spl102_22
| ~ spl102_29 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s74,plain,
( ~ spl102_11
| spl102_14
| ~ spl102_17 ),
inference(sat_conversion,[],[f2160]) ).
cnf(s75,plain,
( ~ spl102_1
| spl102_10
| ~ spl102_11
| spl102_18 ),
inference(sat_conversion,[],[f2181]) ).
cnf(s76,plain,
~ spl102_4,
inference(rat,[],[s3,s4]) ).
cnf(s77,plain,
spl102_3,
inference(rat,[],[s2,s4]) ).
cnf(s78,plain,
spl102_1,
inference(rat,[],[s1,s4]) ).
cnf(s79,plain,
spl102_10,
inference(rat,[],[s24,s75,s25,s8,s77,s78,s76]) ).
cnf(s81,plain,
~ spl102_18,
inference(rat,[],[s23,s79]) ).
cnf(s83,plain,
spl102_29,
inference(rat,[],[s20,s77,s81]) ).
cnf(s86,plain,
~ spl102_11,
inference(rat,[],[s73,s74,s16,s14,s25,s76,s77,s78,s81,s79,s83]) ).
cnf(s87,plain,
spl102_14,
inference(rat,[],[s10,s78,s86]) ).
cnf(s88,plain,
~ spl102_21,
inference(rat,[],[s63,s73,s77,s78,s86,s87,s79,s81,s83,s76]) ).
cnf(s89,plain,
spl102_22,
inference(rat,[],[s16,s77,s88]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s65,s81,s77,s89,s88]) ).
fof(f2182,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX026+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n017.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 14:47:21 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.78/1.48 % (3609548)Detected formulas, will run a generic FOF schedule.
% 4.78/1.48 % (3609553)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=364805856:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.78/1.48 % (3609558)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=562208838:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.78/1.48 % (3609555)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=2221927612:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.78/1.48 % (3609554)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=3598071716:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.78/1.48 % (3609557)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1119561661:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.78/1.48 % (3609559)dis-21_1_sil=8000:lcm=predicate:random_seed=3163389897: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)
% 4.78/1.48 % (3609556)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=739955110:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.78/1.48 % (3609557)Refutation not found, incomplete strategy
% 4.78/1.48 % (3609557)------------------------------
% 4.78/1.48 % (3609557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.48 % (3609557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.48 % (3609557)CaDiCaL version: 2.1.3
% 4.78/1.48 % (3609557)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.48 % (3609557)Time elapsed: 0.003 s
% 4.78/1.48 % (3609557)Peak memory usage: 88 MB
% 4.78/1.48 % (3609557)Instructions burned: 3 (million)
% 4.78/1.48 % (3609556)Refutation not found, incomplete strategy
% 4.78/1.48 % (3609556)------------------------------
% 4.78/1.48 % (3609556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.48 % (3609556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.48 % (3609556)CaDiCaL version: 2.1.3
% 4.78/1.48 % (3609556)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.48 % (3609556)Time elapsed: 0.003 s
% 4.78/1.48 % (3609556)Peak memory usage: 89 MB
% 4.78/1.48 % (3609556)Instructions burned: 3 (million)
% 4.78/1.48 % (3609559)Instruction limit reached!
% 4.78/1.48 % (3609559)------------------------------
% 4.78/1.48 % (3609559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.48 % (3609559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.48 % (3609559)CaDiCaL version: 2.1.3
% 4.78/1.48 % (3609559)Termination reason: Instruction limit
% 4.78/1.48 % (3609559)Termination phase: Saturation
% 4.78/1.48 % (3609559)Time elapsed: 0.079 s
% 4.78/1.48 % (3609559)Peak memory usage: 90 MB
% 4.78/1.48 % (3609559)Instructions burned: 130 (million)
% 4.78/1.48 % (3609558)Instruction limit reached!
% 4.78/1.48 % (3609558)------------------------------
% 4.78/1.48 % (3609558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.48 % (3609558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.48 % (3609558)CaDiCaL version: 2.1.3
% 4.78/1.48 % (3609558)Termination reason: Instruction limit
% 4.78/1.48 % (3609558)Termination phase: Saturation
% 4.78/1.48 % (3609558)Time elapsed: 0.103 s
% 4.78/1.48 % (3609558)Peak memory usage: 90 MB
% 4.78/1.48 % (3609558)Instructions burned: 139 (million)
% 4.78/1.48 % (3609567)lrs+10_1_sil=8000:sp=occurrence:random_seed=61814210:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.78/1.48 % (3609567)Refutation not found, incomplete strategy
% 4.78/1.48 % (3609567)------------------------------
% 4.78/1.48 % (3609567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.48 % (3609567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.48 % (3609567)CaDiCaL version: 2.1.3
% 4.78/1.48 % (3609567)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.48 % (3609567)Time elapsed: 0.003 s
% 4.78/1.48 % (3609567)Peak memory usage: 89 MB
% 4.78/1.48 % (3609567)Instructions burned: 2 (million)
% 4.78/1.48 % (3609556)------------------------------
% 4.78/1.48 % (3609556)------------------------------
% 4.78/1.48 % (3609557)------------------------------
% 4.78/1.48 % (3609557)------------------------------
% 4.78/1.48 % (3609568)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3487448577:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.78/1.48 % (3609568)Instruction limit reached!
% 4.78/1.48 % (3609568)------------------------------
% 4.78/1.48 % (3609568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.48 % (3609568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.48 % (3609568)CaDiCaL version: 2.1.3
% 4.78/1.48 % (3609568)Termination reason: Instruction limit
% 4.78/1.48 % (3609568)Termination phase: Saturation
% 4.78/1.48 % (3609568)Time elapsed: 0.084 s
% 4.78/1.48 % (3609568)Peak memory usage: 90 MB
% 4.78/1.48 % (3609568)Instructions burned: 158 (million)
% 4.78/1.48 % (3609572)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=2209409314:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.78/1.48 % (3609571)lrs+1011_1_sil=32000:sp=occurrence:random_seed=977588329:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.78/1.48 % (3609553)First to succeed.
% 4.78/1.48 % (3609553)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3609548"
% 4.78/1.48 % (3609567)------------------------------
% 4.78/1.48 % (3609567)------------------------------
% 4.78/1.48 % (3609573)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2438943923:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.78/1.48 % (3609572)Instruction limit reached!
% 4.78/1.48 % (3609572)------------------------------
% 4.78/1.48 % (3609572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.48 % (3609572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.48 % (3609572)CaDiCaL version: 2.1.3
% 4.78/1.48 % (3609572)Termination reason: Instruction limit
% 4.78/1.48 % (3609572)Termination phase: Saturation
% 4.78/1.48 % (3609572)Time elapsed: 0.152 s
% 4.78/1.48 % (3609572)Peak memory usage: 91 MB
% 4.78/1.48 % (3609572)Instructions burned: 249 (million)
% 4.78/1.48 % (3609553)Refutation found. Thanks to Tanya!
% 4.78/1.48 % SZS status Theorem for theBenchmark
% 4.78/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 6.25/1.57 % (3609553)------------------------------
% 6.25/1.57 % (3609553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.57 % (3609553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.57 % (3609553)CaDiCaL version: 2.1.3
% 6.25/1.57 % (3609553)Termination reason: Refutation
% 6.25/1.57 % (3609553)Time elapsed: 0.521 s
% 6.25/1.57 % (3609553)Peak memory usage: 134 MB
% 6.25/1.57 % (3609553)Instructions burned: 1141 (million)
% 6.25/1.57 % (3609553)------------------------------
% 6.25/1.57 % (3609553)------------------------------
% 6.25/1.57 % (3609548)Success in time 0.821 s
% 6.25/1.57 % Vampire exiting
%------------------------------------------------------------------------------