%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC113+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:02:30 PM UTC 2026
% Result : Theorem 3.35s 1.44s
% Output : Refutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 208 ( 16 unt; 14 def)
% Number of atoms : 749 ( 100 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 971 ( 430 ~; 435 |; 58 &)
% ( 20 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 161 ( 0 sgn 140 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X0,X1)
& segmentP(X1,X2) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ! [X4] :
( ~ ssItem(X4)
| cons(X4,nil) != X2
| ~ memberP(X3,X4) )
& ( nil != X3
| nil != X2 ) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& segmentP(X1,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ! [X4] :
( ~ ssItem(X4)
| cons(X4,nil) != X2
| ~ memberP(X3,X4) )
& ( nil != X3
| nil != X2 ) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& segmentP(X1,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(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f168]) ).
fof(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ? [X4] :
( ssItem(X4)
& cons(X4,nil) = X2
& memberP(X3,X4) )
| ( nil = X3
& nil = X2 ) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ segmentP(X1,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(f245,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f245]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK13(X0,X1))
& ssList(sK14(X0,X1))
& app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f246]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f295,plain,
( ssList(sK56)
& sK54 = sK56
& sK53 = sK55
& ( ( ssItem(sK57)
& sK55 = cons(sK57,nil)
& memberP(sK56,sK57) )
| ( nil = sK56
& nil = sK55 ) )
& ( ( nil = sK54
& nil != sK53 )
| ( neq(sK54,nil)
& ( ~ neq(sK53,nil)
| ~ segmentP(sK54,sK53) ) ) )
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57)],[f221]) ).
fof(f301,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f302,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f303,plain,
! [X0,X1] :
( ssList(sK8(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f386,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f272]) ).
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(f389,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f400,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f402,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f418,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f437,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f441,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f476,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f481,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f495,plain,
ssList(sK53),
inference(cnf_transformation,[],[f295]) ).
fof(f496,plain,
ssList(sK54),
inference(cnf_transformation,[],[f295]) ).
fof(f498,plain,
( nil != sK53
| ~ neq(sK53,nil)
| ~ segmentP(sK54,sK53) ),
inference(cnf_transformation,[],[f295]) ).
fof(f499,plain,
( nil != sK53
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f295]) ).
fof(f500,plain,
( nil = sK54
| ~ neq(sK53,nil)
| ~ segmentP(sK54,sK53) ),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
( memberP(sK56,sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f295]) ).
fof(f503,plain,
( memberP(sK56,sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f295]) ).
fof(f504,plain,
( sK55 = cons(sK57,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f295]) ).
fof(f505,plain,
( sK55 = cons(sK57,nil)
| nil = sK56 ),
inference(cnf_transformation,[],[f295]) ).
fof(f506,plain,
( ssItem(sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f295]) ).
fof(f507,plain,
( ssItem(sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f295]) ).
fof(f508,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f509,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f295]) ).
fof(f516,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f317]) ).
fof(f546,definition,
( spl58_1
<=> segmentP(sK54,sK53) ),
introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).
fof(f548,plain,
( ~ segmentP(sK54,sK53)
| spl58_1 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f550,definition,
( spl58_2
<=> neq(sK53,nil) ),
introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).
fof(f552,plain,
( ~ neq(sK53,nil)
| spl58_2 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f554,definition,
( spl58_3
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl58_3])],[avatar_definition]) ).
fof(f555,plain,
( nil = sK53
| ~ spl58_3 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,plain,
( ~ spl58_1
| ~ spl58_2
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f498,f554,f550,f546]) ).
fof(f559,definition,
( spl58_4
<=> neq(sK54,nil) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
fof(f561,plain,
( neq(sK54,nil)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,plain,
( spl58_4
| ~ spl58_3 ),
inference(avatar_split_clause,[],[f499,f554,f559]) ).
fof(f564,definition,
( spl58_5
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).
fof(f566,plain,
( nil = sK54
| ~ spl58_5 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( ~ spl58_1
| ~ spl58_2
| spl58_5 ),
inference(avatar_split_clause,[],[f500,f564,f550,f546]) ).
fof(f570,definition,
( spl58_6
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl58_6])],[avatar_definition]) ).
fof(f572,plain,
( nil = sK55
| ~ spl58_6 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,definition,
( spl58_7
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl58_7])],[avatar_definition]) ).
fof(f576,plain,
( memberP(sK56,sK57)
| ~ spl58_7 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,plain,
( spl58_6
| spl58_7 ),
inference(avatar_split_clause,[],[f502,f574,f570]) ).
fof(f579,definition,
( spl58_8
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
fof(f581,plain,
( nil = sK56
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f582,plain,
( spl58_8
| spl58_7 ),
inference(avatar_split_clause,[],[f503,f574,f579]) ).
fof(f584,definition,
( spl58_9
<=> sK55 = cons(sK57,nil) ),
introduced(definition,[new_symbols(definition,[spl58_9])],[avatar_definition]) ).
fof(f586,plain,
( sK55 = cons(sK57,nil)
| ~ spl58_9 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
( spl58_6
| spl58_9 ),
inference(avatar_split_clause,[],[f504,f584,f570]) ).
fof(f588,plain,
( spl58_8
| spl58_9 ),
inference(avatar_split_clause,[],[f505,f584,f579]) ).
fof(f590,definition,
( spl58_10
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl58_10])],[avatar_definition]) ).
fof(f592,plain,
( ssItem(sK57)
| ~ spl58_10 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f593,plain,
( spl58_6
| spl58_10 ),
inference(avatar_split_clause,[],[f506,f590,f570]) ).
fof(f594,plain,
( spl58_8
| spl58_10 ),
inference(avatar_split_clause,[],[f507,f590,f579]) ).
fof(f596,definition,
( spl58_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl58_11])],[avatar_definition]) ).
fof(f597,plain,
( ssList(nil)
| ~ spl58_11 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f629,plain,
spl58_11,
inference(avatar_split_clause,[],[f388,f596]) ).
fof(f633,plain,
( nil = sK53
| ~ spl58_6 ),
inference(superposition,[],[f508,f572]) ).
fof(f636,plain,
( spl58_3
| ~ spl58_6 ),
inference(avatar_split_clause,[],[f633,f570,f554]) ).
fof(f637,plain,
( ~ neq(nil,nil)
| spl58_2
| ~ spl58_3 ),
inference(superposition,[],[f552,f555]) ).
fof(f641,plain,
( nil = sK54
| ~ spl58_8 ),
inference(superposition,[],[f509,f581]) ).
fof(f644,plain,
( spl58_5
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f641,f579,f564]) ).
fof(f645,plain,
( neq(nil,nil)
| ~ spl58_4
| ~ spl58_5 ),
inference(superposition,[],[f561,f566]) ).
fof(f648,plain,
( $false
| spl58_2
| ~ spl58_3
| ~ spl58_4
| ~ spl58_5 ),
inference(forward_subsumption_resolution,[],[f645,f637]) ).
fof(f649,plain,
( spl58_2
| ~ spl58_3
| ~ spl58_4
| ~ spl58_5 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f650,plain,
( ~ segmentP(sK54,nil)
| spl58_1
| ~ spl58_3 ),
inference(forward_demodulation,[],[f548,f555]) ).
fof(f655,plain,
( memberP(sK54,sK57)
| ~ spl58_7 ),
inference(forward_demodulation,[],[f576,f509]) ).
fof(f656,plain,
( sK53 = cons(sK57,nil)
| ~ spl58_9 ),
inference(forward_demodulation,[],[f586,f508]) ).
fof(f658,plain,
( memberP(nil,sK57)
| ~ spl58_5
| ~ spl58_7 ),
inference(forward_demodulation,[],[f655,f566]) ).
fof(f659,plain,
( ~ ssItem(sK57)
| ~ spl58_5
| ~ spl58_7 ),
inference(resolution,[],[f418,f658]) ).
fof(f660,plain,
( $false
| ~ spl58_5
| ~ spl58_7
| ~ spl58_10 ),
inference(forward_subsumption_resolution,[],[f659,f592]) ).
fof(f661,plain,
( ~ spl58_5
| ~ spl58_7
| ~ spl58_10 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f670,plain,
( ~ ssList(sK54)
| spl58_1
| ~ spl58_3 ),
inference(resolution,[],[f441,f650]) ).
fof(f671,plain,
( $false
| spl58_1
| ~ spl58_3 ),
inference(forward_subsumption_resolution,[],[f670,f496]) ).
fof(f672,plain,
( spl58_1
| ~ spl58_3 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f710,plain,
( nil != sK53
| ~ ssItem(sK57)
| ~ ssList(nil)
| ~ spl58_9 ),
inference(superposition,[],[f389,f656]) ).
fof(f898,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK53,X0)
| ~ ssItem(sK57)
| ~ ssList(X0) )
| ~ spl58_9 ),
inference(superposition,[],[f476,f656]) ).
fof(f907,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK53,X0)
| ~ ssList(X0) )
| ~ spl58_9
| ~ spl58_10 ),
inference(forward_subsumption_resolution,[],[f898,f592]) ).
fof(f1091,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK53)
| ~ ssList(X0) )
| ~ spl58_9
| ~ spl58_10 ),
inference(superposition,[],[f400,f907]) ).
fof(f1092,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK53) )
| ~ spl58_9
| ~ spl58_10 ),
inference(duplicate_literal_removal,[],[f1091]) ).
fof(f1098,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl58_9
| ~ spl58_10 ),
inference(forward_subsumption_resolution,[],[f1092,f495]) ).
fof(f1274,plain,
( ! [X0] :
( ~ segmentP(sK54,X0)
| ~ segmentP(X0,sK53)
| ~ ssList(sK53)
| ~ ssList(X0)
| ~ ssList(sK54) )
| spl58_1 ),
inference(resolution,[],[f437,f548]) ).
fof(f1280,plain,
( ! [X0] :
( ~ segmentP(sK54,X0)
| ~ segmentP(X0,sK53)
| ~ ssList(X0)
| ~ ssList(sK54) )
| spl58_1 ),
inference(forward_subsumption_resolution,[],[f1274,f495]) ).
fof(f1281,plain,
( ! [X0] :
( ~ segmentP(X0,sK53)
| ~ segmentP(sK54,X0)
| ~ ssList(X0) )
| spl58_1 ),
inference(forward_subsumption_resolution,[],[f1280,f496]) ).
fof(f1755,plain,
( sK54 = app(sK8(sK54,sK57),cons(sK57,sK9(sK54,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK54)
| ~ spl58_7 ),
inference(resolution,[],[f301,f655]) ).
fof(f1764,plain,
( sK54 = app(sK8(sK54,sK57),cons(sK57,sK9(sK54,sK57)))
| ~ ssList(sK54)
| ~ spl58_7
| ~ spl58_10 ),
inference(forward_subsumption_resolution,[],[f1755,f592]) ).
fof(f1774,plain,
( sK54 = app(sK8(sK54,sK57),cons(sK57,sK9(sK54,sK57)))
| ~ spl58_7
| ~ spl58_10 ),
inference(forward_subsumption_resolution,[],[f1764,f496]) ).
fof(f2077,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f516,f402]) ).
fof(f2083,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f516,f481]) ).
fof(f2084,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f2083]) ).
fof(f2087,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f2077]) ).
fof(f2093,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f2084,f400]) ).
fof(f2096,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f2087,f400]) ).
fof(f2099,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f2093,f597]) ).
fof(f2101,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f2096,f597]) ).
fof(f2347,definition,
( spl58_46
<=> ssList(cons(sK57,sK9(sK54,sK57))) ),
introduced(definition,[new_symbols(definition,[spl58_46])],[avatar_definition]) ).
fof(f2348,plain,
( ssList(cons(sK57,sK9(sK54,sK57)))
| ~ spl58_46 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2349,plain,
( ~ ssList(cons(sK57,sK9(sK54,sK57)))
| spl58_46 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2351,definition,
( spl58_47
<=> ssList(sK8(sK54,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_47])],[avatar_definition]) ).
fof(f2352,plain,
( ssList(sK8(sK54,sK57))
| ~ spl58_47 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f2353,plain,
( ~ ssList(sK8(sK54,sK57))
| spl58_47 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f2406,definition,
( spl58_59
<=> ssList(sK9(sK54,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_59])],[avatar_definition]) ).
fof(f2407,plain,
( ssList(sK9(sK54,sK57))
| ~ spl58_59 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f2408,plain,
( ~ ssList(sK9(sK54,sK57))
| spl58_59 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f2413,plain,
( ~ memberP(sK54,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK54)
| spl58_47 ),
inference(resolution,[],[f2353,f303]) ).
fof(f2414,plain,
( ~ ssItem(sK57)
| ~ ssList(sK54)
| ~ spl58_7
| spl58_47 ),
inference(forward_subsumption_resolution,[],[f2413,f655]) ).
fof(f2415,plain,
( ~ ssList(sK54)
| ~ spl58_7
| ~ spl58_10
| spl58_47 ),
inference(forward_subsumption_resolution,[],[f2414,f592]) ).
fof(f2416,plain,
( $false
| ~ spl58_7
| ~ spl58_10
| spl58_47 ),
inference(forward_subsumption_resolution,[],[f2415,f496]) ).
fof(f2417,plain,
( ~ spl58_7
| ~ spl58_10
| spl58_47 ),
inference(avatar_contradiction_clause,[],[f2416]) ).
fof(f2444,plain,
( ~ memberP(sK54,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK54)
| spl58_59 ),
inference(resolution,[],[f2408,f302]) ).
fof(f2445,plain,
( ~ ssItem(sK57)
| ~ ssList(sK54)
| ~ spl58_7
| spl58_59 ),
inference(forward_subsumption_resolution,[],[f2444,f655]) ).
fof(f2446,plain,
( ~ ssList(sK54)
| ~ spl58_7
| ~ spl58_10
| spl58_59 ),
inference(forward_subsumption_resolution,[],[f2445,f592]) ).
fof(f2447,plain,
( $false
| ~ spl58_7
| ~ spl58_10
| spl58_59 ),
inference(forward_subsumption_resolution,[],[f2446,f496]) ).
fof(f2448,plain,
( ~ spl58_7
| ~ spl58_10
| spl58_59 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2463,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK54,sK57))
| spl58_46 ),
inference(resolution,[],[f2349,f387]) ).
fof(f2464,plain,
( ~ ssList(sK9(sK54,sK57))
| ~ spl58_10
| spl58_46 ),
inference(forward_subsumption_resolution,[],[f2463,f592]) ).
fof(f2467,plain,
( $false
| ~ spl58_10
| spl58_46
| ~ spl58_59 ),
inference(forward_subsumption_resolution,[],[f2464,f2407]) ).
fof(f2468,plain,
( ~ spl58_10
| spl58_46
| ~ spl58_59 ),
inference(avatar_contradiction_clause,[],[f2467]) ).
fof(f3151,plain,
( segmentP(sK54,cons(sK57,sK9(sK54,sK57)))
| ~ ssList(cons(sK57,sK9(sK54,sK57)))
| ~ ssList(sK8(sK54,sK57))
| ~ spl58_7
| ~ spl58_10
| ~ spl58_11 ),
inference(superposition,[],[f2099,f1774]) ).
fof(f3173,plain,
( segmentP(sK54,cons(sK57,sK9(sK54,sK57)))
| ~ ssList(sK8(sK54,sK57))
| ~ spl58_7
| ~ spl58_10
| ~ spl58_11
| ~ spl58_46 ),
inference(forward_subsumption_resolution,[],[f3151,f2348]) ).
fof(f3183,plain,
( segmentP(sK54,cons(sK57,sK9(sK54,sK57)))
| ~ spl58_7
| ~ spl58_10
| ~ spl58_11
| ~ spl58_46
| ~ spl58_47 ),
inference(forward_subsumption_resolution,[],[f3173,f2352]) ).
fof(f3215,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(sK53)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11 ),
inference(superposition,[],[f2101,f907]) ).
fof(f3218,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(sK53)
| ~ ssList(X0) )
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11 ),
inference(duplicate_literal_removal,[],[f3215]) ).
fof(f3230,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(X0) )
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f3218,f495]) ).
fof(f3738,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sK54,cons(sK57,X0))
| ~ ssList(cons(sK57,X0)) )
| spl58_1
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11 ),
inference(resolution,[],[f3230,f1281]) ).
fof(f3748,plain,
( ! [X0] :
( ~ segmentP(sK54,cons(sK57,X0))
| ~ ssList(X0) )
| spl58_1
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f3738,f1098]) ).
fof(f3815,plain,
( ~ ssList(sK9(sK54,sK57))
| spl58_1
| ~ spl58_7
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11
| ~ spl58_46
| ~ spl58_47 ),
inference(resolution,[],[f3748,f3183]) ).
fof(f3821,plain,
( $false
| spl58_1
| ~ spl58_7
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11
| ~ spl58_46
| ~ spl58_47
| ~ spl58_59 ),
inference(forward_subsumption_resolution,[],[f3815,f2407]) ).
fof(f3822,plain,
( spl58_1
| ~ spl58_7
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11
| ~ spl58_46
| ~ spl58_47
| ~ spl58_59 ),
inference(avatar_contradiction_clause,[],[f3821]) ).
fof(f3842,plain,
( nil = sK53
| ~ ssList(nil)
| ~ ssList(sK53)
| spl58_2 ),
inference(resolution,[],[f552,f386]) ).
fof(f3858,plain,
( nil != sK53
| ~ ssList(nil)
| ~ spl58_9
| ~ spl58_10 ),
inference(forward_subsumption_resolution,[],[f710,f592]) ).
fof(f3892,plain,
( nil = sK53
| ~ ssList(sK53)
| spl58_2
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f3842,f597]) ).
fof(f3893,plain,
( nil != sK53
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f3858,f597]) ).
fof(f3936,plain,
( nil = sK53
| spl58_2
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f3892,f495]) ).
fof(f3937,plain,
( ~ spl58_3
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f3893,f596,f590,f584,f554]) ).
fof(f3965,plain,
( spl58_3
| spl58_2
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f3936,f596,f550,f554]) ).
cnf(s1,plain,
( ~ spl58_1
| ~ spl58_2
| ~ spl58_3 ),
inference(sat_conversion,[],[f557]) ).
cnf(s2,plain,
( ~ spl58_3
| spl58_4 ),
inference(sat_conversion,[],[f562]) ).
cnf(s3,plain,
( ~ spl58_1
| ~ spl58_2
| spl58_5 ),
inference(sat_conversion,[],[f567]) ).
cnf(s5,plain,
( spl58_6
| spl58_7 ),
inference(sat_conversion,[],[f577]) ).
cnf(s6,plain,
( spl58_7
| spl58_8 ),
inference(sat_conversion,[],[f582]) ).
cnf(s7,plain,
( spl58_6
| spl58_9 ),
inference(sat_conversion,[],[f587]) ).
cnf(s8,plain,
( spl58_8
| spl58_9 ),
inference(sat_conversion,[],[f588]) ).
cnf(s9,plain,
( spl58_6
| spl58_10 ),
inference(sat_conversion,[],[f593]) ).
cnf(s10,plain,
( spl58_8
| spl58_10 ),
inference(sat_conversion,[],[f594]) ).
cnf(s19,plain,
spl58_11,
inference(sat_conversion,[],[f629]) ).
cnf(s21,plain,
( spl58_3
| ~ spl58_6 ),
inference(sat_conversion,[],[f636]) ).
cnf(s25,plain,
( spl58_5
| ~ spl58_8 ),
inference(sat_conversion,[],[f644]) ).
cnf(s28,plain,
( spl58_2
| ~ spl58_3
| ~ spl58_4
| ~ spl58_5 ),
inference(sat_conversion,[],[f649]) ).
cnf(s31,plain,
( ~ spl58_5
| ~ spl58_7
| ~ spl58_10 ),
inference(sat_conversion,[],[f661]) ).
cnf(s35,plain,
( spl58_1
| ~ spl58_3 ),
inference(sat_conversion,[],[f672]) ).
cnf(s84,plain,
( ~ spl58_7
| ~ spl58_10
| spl58_47 ),
inference(sat_conversion,[],[f2417]) ).
cnf(s85,plain,
( ~ spl58_7
| ~ spl58_10
| spl58_59 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s87,plain,
( ~ spl58_10
| spl58_46
| ~ spl58_59 ),
inference(sat_conversion,[],[f2468]) ).
cnf(s157,plain,
( spl58_1
| ~ spl58_7
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11
| ~ spl58_46
| ~ spl58_47
| ~ spl58_59 ),
inference(sat_conversion,[],[f3822]) ).
cnf(s173,plain,
( ~ spl58_3
| ~ spl58_9
| ~ spl58_10
| ~ spl58_11 ),
inference(sat_conversion,[],[f3937]) ).
cnf(s184,plain,
( spl58_2
| spl58_3
| ~ spl58_11 ),
inference(sat_conversion,[],[f3965]) ).
cnf(s198,plain,
( ~ spl58_7
| ~ spl58_59
| spl58_1
| ~ spl58_10
| ~ spl58_9
| ~ spl58_47 ),
inference(rat,[],[s87,s157,s19]) ).
cnf(s199,plain,
spl58_1,
inference(rat,[],[s198,s84,s85,s5,s7,s9,s21,s35]) ).
cnf(s200,plain,
spl58_7,
inference(rat,[],[s28,s1,s2,s21,s25,s5,s6,s199]) ).
cnf(s201,plain,
( ~ spl58_10
| ~ spl58_9 ),
inference(rat,[],[s3,s184,s31,s173,s200,s19,s199]) ).
cnf(s202,plain,
spl58_10,
inference(rat,[],[s28,s1,s2,s21,s25,s9,s10,s199]) ).
cnf(s205,plain,
~ spl58_9,
inference(rat,[],[s201,s202]) ).
cnf(s208,plain,
~ spl58_5,
inference(rat,[],[s31,s200,s202]) ).
cnf(s209,plain,
spl58_8,
inference(rat,[],[s8,s205]) ).
cnf(s214,plain,
$false,
inference(rat,[],[s25,s209,s208]) ).
fof(f3967,plain,
$false,
inference(avatar_sat_refutation,[],[s214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC113+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 % Computer : n016.cluster.edu
% 0.11/0.44 % Model : x86_64 x86_64
% 0.11/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.44 % Memory : 8046.5625MB
% 0.11/0.44 % OS : Linux 6.8.0-71-generic
% 0.11/0.44 % CPULimit : 300
% 0.11/0.44 % WCLimit : 300
% 0.11/0.44 % DateTime : Mon Sep 28 08:04:15 UTC 2026
% 0.11/0.44 % CPUTime :
% 0.11/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.48 Running first-order theorem proving
% 0.15/0.48 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.35/1.44 % (3463284)Detected formulas, will run a generic FOF schedule.
% 3.35/1.44 % (3463291)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=3976171008:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.35/1.44 % (3463289)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=3821465547:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.35/1.44 % (3463292)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3075315163:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.35/1.44 % (3463295)dis-21_1_sil=8000:lcm=predicate:random_seed=163845757: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)
% 3.35/1.44 % (3463293)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=673577082:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.35/1.44 % (3463290)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=2914293599:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.35/1.44 % (3463294)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4243475070:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.35/1.44 % (3463292)Refutation not found, incomplete strategy
% 3.35/1.44 % (3463292)------------------------------
% 3.35/1.44 % (3463292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.44 % (3463292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.44 % (3463292)CaDiCaL version: 2.1.3
% 3.35/1.44 % (3463292)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.44 % (3463292)Time elapsed: 0.004 s
% 3.35/1.44 % (3463292)Peak memory usage: 89 MB
% 3.35/1.44 % (3463292)Instructions burned: 4 (million)
% 3.35/1.44 % (3463293)Instruction limit reached!
% 3.35/1.44 % (3463293)------------------------------
% 3.35/1.44 % (3463293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.44 % (3463293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.44 % (3463293)CaDiCaL version: 2.1.3
% 3.35/1.44 % (3463293)Termination reason: Instruction limit
% 3.35/1.44 % (3463293)Termination phase: Saturation
% 3.35/1.44 % (3463293)Time elapsed: 0.071 s
% 3.35/1.44 % (3463293)Peak memory usage: 88 MB
% 3.35/1.44 % (3463293)Instructions burned: 120 (million)
% 3.35/1.44 % (3463295)Instruction limit reached!
% 3.35/1.44 % (3463295)------------------------------
% 3.35/1.44 % (3463295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.44 % (3463295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.44 % (3463295)CaDiCaL version: 2.1.3
% 3.35/1.44 % (3463295)Termination reason: Instruction limit
% 3.35/1.44 % (3463295)Termination phase: Saturation
% 3.35/1.44 % (3463295)Time elapsed: 0.074 s
% 3.35/1.44 % (3463295)Peak memory usage: 90 MB
% 3.35/1.44 % (3463295)Instructions burned: 129 (million)
% 3.35/1.44 % (3463294)First to succeed.
% 3.35/1.44 % (3463294)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3463284"
% 3.35/1.44 % (3463303)lrs+10_1_sil=8000:sp=occurrence:random_seed=2489814235:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.35/1.44 % (3463304)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1653932300:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.35/1.44 % (3463292)------------------------------
% 3.35/1.44 % (3463292)------------------------------
% 3.35/1.44 % (3463304)Instruction limit reached!
% 3.35/1.44 % (3463304)------------------------------
% 3.35/1.44 % (3463304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.44 % (3463304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.44 % (3463304)CaDiCaL version: 2.1.3
% 3.35/1.44 % (3463304)Termination reason: Instruction limit
% 3.35/1.44 % (3463304)Termination phase: Saturation
% 3.35/1.44 % (3463304)Time elapsed: 0.076 s
% 3.35/1.44 % (3463304)Peak memory usage: 91 MB
% 3.35/1.44 % (3463304)Instructions burned: 157 (million)
% 3.35/1.44 % (3463294)Refutation found. Thanks to Tanya!
% 3.35/1.44 % SZS status Theorem for theBenchmark
% 3.35/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 4.29/1.63 % (3463294)------------------------------
% 4.29/1.63 % (3463294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.29/1.63 % (3463294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.63 % (3463294)CaDiCaL version: 2.1.3
% 4.29/1.63 % (3463294)Termination reason: Refutation
% 4.29/1.63 % (3463294)Time elapsed: 0.082 s
% 4.29/1.63 % (3463294)Peak memory usage: 91 MB
% 4.29/1.63 % (3463294)Instructions burned: 121 (million)
% 4.29/1.63 % (3463294)------------------------------
% 4.29/1.63 % (3463294)------------------------------
% 4.29/1.63 % (3463284)Success in time 0.517 s
% 4.29/1.63 % Vampire exiting
%------------------------------------------------------------------------------