%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC119+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 : n019.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 01:02:32 PM UTC 2026
% Result : Theorem 1.98s 1.79s
% Output : Refutation 6.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 28
% Syntax : Number of formulae : 200 ( 18 unt; 14 def)
% Number of atoms : 757 ( 105 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 991 ( 434 ~; 429 |; 73 &)
% ( 22 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 179 ( 0 sgn 153 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
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(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
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(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( nil != X2
& nil = X3 )
| ( nil = X1
& nil = X0 )
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& neq(X3,nil) )
| ( neq(X0,nil)
& segmentP(X1,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
| ( nil != X2
& nil = X3 )
| ( nil = X1
& nil = X0 )
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& neq(X3,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(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(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(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] :
( X1 = X3
& X0 = X2
& ( nil = X2
| nil != X3 )
& ( nil != X1
| nil != X0 )
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ~ neq(X3,nil) )
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( nil = X2
| nil != X3 )
& ( nil != X1
| nil != X0 )
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ~ neq(X3,nil) )
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,cons(X1,X5)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK8(X0,X1))
& ssList(sK9(X0,X1))
& app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).
fof(f246,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(f247,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,[],[f246]) ).
fof(f248,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))],[f247]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f279]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ( nil = sK55
| nil != sK56 )
& ( nil != sK54
| nil != sK53 )
& ( ( sK55 = cons(sK57,nil)
& memberP(sK56,sK57)
& ssItem(sK57) )
| ~ neq(sK56,nil) )
& ( ~ neq(sK53,nil)
| ~ segmentP(sK54,sK53) )
& ssList(sK56)
& 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)],[f222]) ).
fof(f302,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f303,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(sK8(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f318,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,[],[f248]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f403,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f418,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f438,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f442,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f477,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f482,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f499,plain,
ssList(sK56),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ~ neq(sK53,nil)
| ~ segmentP(sK54,sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( ssItem(sK57)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( memberP(sK56,sK57)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( sK55 = cons(sK57,nil)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( nil != sK54
| nil != sK53 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( nil = sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f513,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,[],[f318]) ).
fof(f523,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f418]) ).
fof(f538,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f523]) ).
fof(f543,definition,
( spl58_1
<=> segmentP(sK54,sK53) ),
introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).
fof(f545,plain,
( ~ segmentP(sK54,sK53)
| spl58_1 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f547,definition,
( spl58_2
<=> neq(sK53,nil) ),
introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).
fof(f549,plain,
( ~ neq(sK53,nil)
| spl58_2 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f550,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(avatar_split_clause,[],[f500,f547,f543]) ).
fof(f552,definition,
( spl58_3
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl58_3])],[avatar_definition]) ).
fof(f554,plain,
( ~ neq(sK56,nil)
| spl58_3 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl58_4
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
fof(f558,plain,
( ssItem(sK57)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f559,plain,
( ~ spl58_3
| spl58_4 ),
inference(avatar_split_clause,[],[f501,f556,f552]) ).
fof(f561,definition,
( spl58_5
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).
fof(f563,plain,
( memberP(sK56,sK57)
| ~ spl58_5 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f564,plain,
( ~ spl58_3
| spl58_5 ),
inference(avatar_split_clause,[],[f502,f561,f552]) ).
fof(f566,definition,
( spl58_6
<=> sK55 = cons(sK57,nil) ),
introduced(definition,[new_symbols(definition,[spl58_6])],[avatar_definition]) ).
fof(f568,plain,
( sK55 = cons(sK57,nil)
| ~ spl58_6 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,plain,
( ~ spl58_3
| spl58_6 ),
inference(avatar_split_clause,[],[f503,f566,f552]) ).
fof(f571,definition,
( spl58_7
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl58_7])],[avatar_definition]) ).
fof(f572,plain,
( nil = sK53
| ~ spl58_7 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f575,definition,
( spl58_8
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
fof(f577,plain,
( nil != sK54
| spl58_8 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( ~ spl58_7
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f504,f575,f571]) ).
fof(f580,definition,
( spl58_9
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl58_9])],[avatar_definition]) ).
fof(f584,definition,
( spl58_10
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl58_10])],[avatar_definition]) ).
fof(f586,plain,
( nil = sK55
| ~ spl58_10 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f587,plain,
( ~ spl58_9
| spl58_10 ),
inference(avatar_split_clause,[],[f505,f584,f580]) ).
fof(f589,definition,
( spl58_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl58_11])],[avatar_definition]) ).
fof(f590,plain,
( ssList(nil)
| ~ spl58_11 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f622,plain,
spl58_11,
inference(avatar_split_clause,[],[f389,f589]) ).
fof(f625,plain,
( nil != sK56
| spl58_8 ),
inference(forward_demodulation,[],[f577,f507]) ).
fof(f626,plain,
( ~ spl58_9
| spl58_8 ),
inference(avatar_split_clause,[],[f625,f575,f580]) ).
fof(f669,plain,
( nil = sK53
| ~ ssList(nil)
| ~ ssList(sK53)
| spl58_2 ),
inference(resolution,[],[f387,f549]) ).
fof(f670,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl58_3 ),
inference(resolution,[],[f387,f554]) ).
fof(f676,plain,
( nil = sK53
| ~ ssList(sK53)
| spl58_2
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f669,f590]) ).
fof(f678,plain,
( nil = sK53
| spl58_2
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f676,f496]) ).
fof(f681,plain,
( spl58_7
| spl58_2
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f678,f589,f547,f571]) ).
fof(f682,plain,
( ~ segmentP(sK56,sK53)
| spl58_1 ),
inference(forward_demodulation,[],[f545,f507]) ).
fof(f683,plain,
( nil = sK56
| ~ ssList(sK56)
| spl58_3
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f670,f590]) ).
fof(f684,plain,
( nil = sK56
| spl58_3
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f683,f499]) ).
fof(f685,plain,
( spl58_9
| spl58_3
| ~ spl58_11 ),
inference(avatar_split_clause,[],[f684,f589,f552,f580]) ).
fof(f693,plain,
( nil = sK53
| ~ spl58_10 ),
inference(superposition,[],[f506,f586]) ).
fof(f699,plain,
( sK53 = cons(sK57,nil)
| ~ spl58_6 ),
inference(forward_demodulation,[],[f568,f506]) ).
fof(f701,plain,
( spl58_7
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f693,f584,f571]) ).
fof(f704,plain,
( ~ segmentP(sK56,nil)
| spl58_1
| ~ spl58_7 ),
inference(forward_demodulation,[],[f682,f572]) ).
fof(f705,plain,
( ~ ssList(sK56)
| spl58_1
| ~ spl58_7 ),
inference(resolution,[],[f704,f442]) ).
fof(f706,plain,
( $false
| spl58_1
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f705,f499]) ).
fof(f707,plain,
( spl58_1
| ~ spl58_7 ),
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f715,plain,
( nil = cons(sK57,nil)
| ~ spl58_6
| ~ spl58_7 ),
inference(forward_demodulation,[],[f699,f572]) ).
fof(f723,plain,
( memberP(nil,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ spl58_6
| ~ spl58_7 ),
inference(superposition,[],[f538,f715]) ).
fof(f731,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ~ spl58_6
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f723,f419]) ).
fof(f736,plain,
( ~ ssItem(sK57)
| ~ spl58_6
| ~ spl58_7
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f731,f590]) ).
fof(f737,plain,
( $false
| ~ spl58_4
| ~ spl58_6
| ~ spl58_7
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f736,f558]) ).
fof(f738,plain,
( ~ spl58_4
| ~ spl58_6
| ~ spl58_7
| ~ spl58_11 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f937,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK53,X0)
| ~ ssItem(sK57)
| ~ ssList(X0) )
| ~ spl58_6 ),
inference(superposition,[],[f477,f699]) ).
fof(f946,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK53,X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6 ),
inference(forward_subsumption_resolution,[],[f937,f558]) ).
fof(f1130,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK53)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6 ),
inference(superposition,[],[f401,f946]) ).
fof(f1131,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK53) )
| ~ spl58_4
| ~ spl58_6 ),
inference(duplicate_literal_removal,[],[f1130]) ).
fof(f1137,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6 ),
inference(forward_subsumption_resolution,[],[f1131,f496]) ).
fof(f1314,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK53)
| ~ ssList(sK53)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_1 ),
inference(resolution,[],[f438,f682]) ).
fof(f1318,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK53)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_1 ),
inference(forward_subsumption_resolution,[],[f1314,f496]) ).
fof(f1320,plain,
( ! [X0] :
( ~ segmentP(X0,sK53)
| ~ segmentP(sK56,X0)
| ~ ssList(X0) )
| spl58_1 ),
inference(forward_subsumption_resolution,[],[f1318,f499]) ).
fof(f1807,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_5 ),
inference(resolution,[],[f302,f563]) ).
fof(f1816,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_5 ),
inference(forward_subsumption_resolution,[],[f1807,f558]) ).
fof(f1826,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_5 ),
inference(forward_subsumption_resolution,[],[f1816,f499]) ).
fof(f2129,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f513,f403]) ).
fof(f2135,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f513,f482]) ).
fof(f2136,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f2135]) ).
fof(f2139,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f2129]) ).
fof(f2145,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f2136,f401]) ).
fof(f2148,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f2139,f401]) ).
fof(f2151,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f2145,f590]) ).
fof(f2153,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f2148,f590]) ).
fof(f2399,definition,
( spl58_49
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl58_49])],[avatar_definition]) ).
fof(f2400,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl58_49 ),
inference(avatar_component_clause,[],[f2399]) ).
fof(f2401,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl58_49 ),
inference(avatar_component_clause,[],[f2399]) ).
fof(f2403,definition,
( spl58_50
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_50])],[avatar_definition]) ).
fof(f2404,plain,
( ssList(sK8(sK56,sK57))
| ~ spl58_50 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f2405,plain,
( ~ ssList(sK8(sK56,sK57))
| spl58_50 ),
inference(avatar_component_clause,[],[f2403]) ).
fof(f2458,definition,
( spl58_62
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_62])],[avatar_definition]) ).
fof(f2459,plain,
( ssList(sK9(sK56,sK57))
| ~ spl58_62 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f2460,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_62 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f2465,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_50 ),
inference(resolution,[],[f2405,f304]) ).
fof(f2466,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_5
| spl58_50 ),
inference(forward_subsumption_resolution,[],[f2465,f563]) ).
fof(f2467,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_5
| spl58_50 ),
inference(forward_subsumption_resolution,[],[f2466,f558]) ).
fof(f2468,plain,
( $false
| ~ spl58_4
| ~ spl58_5
| spl58_50 ),
inference(forward_subsumption_resolution,[],[f2467,f499]) ).
fof(f2469,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_50 ),
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2496,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_62 ),
inference(resolution,[],[f2460,f303]) ).
fof(f2497,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_5
| spl58_62 ),
inference(forward_subsumption_resolution,[],[f2496,f563]) ).
fof(f2498,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_5
| spl58_62 ),
inference(forward_subsumption_resolution,[],[f2497,f558]) ).
fof(f2499,plain,
( $false
| ~ spl58_4
| ~ spl58_5
| spl58_62 ),
inference(forward_subsumption_resolution,[],[f2498,f499]) ).
fof(f2500,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_62 ),
inference(avatar_contradiction_clause,[],[f2499]) ).
fof(f2515,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl58_49 ),
inference(resolution,[],[f2401,f388]) ).
fof(f2516,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl58_4
| spl58_49 ),
inference(forward_subsumption_resolution,[],[f2515,f558]) ).
fof(f2519,plain,
( $false
| ~ spl58_4
| spl58_49
| ~ spl58_62 ),
inference(forward_subsumption_resolution,[],[f2516,f2459]) ).
fof(f2520,plain,
( ~ spl58_4
| spl58_49
| ~ spl58_62 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f3203,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_5
| ~ spl58_11 ),
inference(superposition,[],[f2151,f1826]) ).
fof(f3225,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_5
| ~ spl58_11
| ~ spl58_49 ),
inference(forward_subsumption_resolution,[],[f3203,f2400]) ).
fof(f3235,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_5
| ~ spl58_11
| ~ spl58_49
| ~ spl58_50 ),
inference(forward_subsumption_resolution,[],[f3225,f2404]) ).
fof(f3267,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(sK53)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6
| ~ spl58_11 ),
inference(superposition,[],[f2153,f946]) ).
fof(f3270,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(sK53)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6
| ~ spl58_11 ),
inference(duplicate_literal_removal,[],[f3267]) ).
fof(f3282,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f3270,f496]) ).
fof(f3791,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(cons(sK57,X0)) )
| spl58_1
| ~ spl58_4
| ~ spl58_6
| ~ spl58_11 ),
inference(resolution,[],[f3282,f1320]) ).
fof(f3801,plain,
( ! [X0] :
( ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(X0) )
| spl58_1
| ~ spl58_4
| ~ spl58_6
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f3791,f1137]) ).
fof(f3868,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_1
| ~ spl58_4
| ~ spl58_5
| ~ spl58_6
| ~ spl58_11
| ~ spl58_49
| ~ spl58_50 ),
inference(resolution,[],[f3801,f3235]) ).
fof(f3874,plain,
( $false
| spl58_1
| ~ spl58_4
| ~ spl58_5
| ~ spl58_6
| ~ spl58_11
| ~ spl58_49
| ~ spl58_50
| ~ spl58_62 ),
inference(forward_subsumption_resolution,[],[f3868,f2459]) ).
fof(f3875,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_5
| ~ spl58_6
| ~ spl58_11
| ~ spl58_49
| ~ spl58_50
| ~ spl58_62 ),
inference(avatar_contradiction_clause,[],[f3874]) ).
cnf(s1,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(sat_conversion,[],[f550]) ).
cnf(s2,plain,
( ~ spl58_3
| spl58_4 ),
inference(sat_conversion,[],[f559]) ).
cnf(s3,plain,
( ~ spl58_3
| spl58_5 ),
inference(sat_conversion,[],[f564]) ).
cnf(s4,plain,
( ~ spl58_3
| spl58_6 ),
inference(sat_conversion,[],[f569]) ).
cnf(s5,plain,
( ~ spl58_7
| ~ spl58_8 ),
inference(sat_conversion,[],[f578]) ).
cnf(s6,plain,
( ~ spl58_9
| spl58_10 ),
inference(sat_conversion,[],[f587]) ).
cnf(s15,plain,
spl58_11,
inference(sat_conversion,[],[f622]) ).
cnf(s16,plain,
( spl58_8
| ~ spl58_9 ),
inference(sat_conversion,[],[f626]) ).
cnf(s20,plain,
( spl58_2
| spl58_7
| ~ spl58_11 ),
inference(sat_conversion,[],[f681]) ).
cnf(s21,plain,
( spl58_3
| spl58_9
| ~ spl58_11 ),
inference(sat_conversion,[],[f685]) ).
cnf(s27,plain,
( spl58_7
| ~ spl58_10 ),
inference(sat_conversion,[],[f701]) ).
cnf(s30,plain,
( spl58_1
| ~ spl58_7 ),
inference(sat_conversion,[],[f707]) ).
cnf(s33,plain,
( ~ spl58_4
| ~ spl58_6
| ~ spl58_7
| ~ spl58_11 ),
inference(sat_conversion,[],[f738]) ).
cnf(s84,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_50 ),
inference(sat_conversion,[],[f2469]) ).
cnf(s85,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_62 ),
inference(sat_conversion,[],[f2500]) ).
cnf(s87,plain,
( ~ spl58_4
| spl58_49
| ~ spl58_62 ),
inference(sat_conversion,[],[f2520]) ).
cnf(s157,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_5
| ~ spl58_6
| ~ spl58_11
| ~ spl58_49
| ~ spl58_50
| ~ spl58_62 ),
inference(sat_conversion,[],[f3875]) ).
cnf(s171,plain,
spl58_1,
inference(rat,[],[s157,s87,s84,s85,s2,s3,s4,s21,s6,s27,s30,s15]) ).
cnf(s172,plain,
~ spl58_2,
inference(rat,[],[s1,s171]) ).
cnf(s173,plain,
spl58_7,
inference(rat,[],[s20,s15,s172]) ).
cnf(s175,plain,
~ spl58_8,
inference(rat,[],[s5,s173]) ).
cnf(s176,plain,
~ spl58_9,
inference(rat,[],[s16,s175]) ).
cnf(s177,plain,
spl58_3,
inference(rat,[],[s21,s15,s176]) ).
cnf(s178,plain,
spl58_6,
inference(rat,[],[s4,s177]) ).
cnf(s180,plain,
spl58_4,
inference(rat,[],[s2,s177]) ).
cnf(s181,plain,
$false,
inference(rat,[],[s33,s15,s173,s178,s180]) ).
fof(f3877,plain,
$false,
inference(avatar_sat_refutation,[],[s181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC119+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 28 07:59:33 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 1.98/1.79 % (3844807)Detected formulas, will run a generic FOF schedule.
% 1.98/1.79 % (3844814)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=1918575953:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.98/1.79 % (3844818)dis-21_1_sil=8000:lcm=predicate:random_seed=2490314469: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)
% 1.98/1.79 % (3844817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=123126223:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.98/1.79 % (3844816)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1508380237:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.98/1.79 % (3844815)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1507360181:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.98/1.79 % (3844813)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=3839616889:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.98/1.79 % (3844812)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=1779453961:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.98/1.79 % (3844815)Refutation not found, incomplete strategy
% 1.98/1.79 % (3844815)------------------------------
% 1.98/1.79 % (3844815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.79 % (3844815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.79 % (3844815)CaDiCaL version: 2.1.3
% 1.98/1.79 % (3844815)Termination reason: Refutation not found, incomplete strategy
% 1.98/1.79 % (3844815)Time elapsed: 0.006 s
% 1.98/1.79 % (3844815)Peak memory usage: 88 MB
% 1.98/1.79 % (3844815)Instructions burned: 4 (million)
% 1.98/1.79 % (3844818)Instruction limit reached!
% 1.98/1.79 % (3844818)------------------------------
% 1.98/1.79 % (3844818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.79 % (3844818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.79 % (3844818)CaDiCaL version: 2.1.3
% 1.98/1.79 % (3844818)Termination reason: Instruction limit
% 1.98/1.79 % (3844818)Termination phase: Saturation
% 1.98/1.79 % (3844818)Time elapsed: 0.086 s
% 1.98/1.79 % (3844818)Peak memory usage: 90 MB
% 1.98/1.79 % (3844818)Instructions burned: 129 (million)
% 1.98/1.79 % (3844816)Instruction limit reached!
% 1.98/1.79 % (3844816)------------------------------
% 1.98/1.79 % (3844816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.79 % (3844816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.79 % (3844816)CaDiCaL version: 2.1.3
% 1.98/1.79 % (3844816)Termination reason: Instruction limit
% 1.98/1.79 % (3844816)Termination phase: Saturation
% 1.98/1.79 % (3844816)Time elapsed: 0.113 s
% 1.98/1.79 % (3844816)Peak memory usage: 88 MB
% 1.98/1.79 % (3844816)Instructions burned: 120 (million)
% 1.98/1.79 % (3844817)First to succeed.
% 1.98/1.79 % (3844817)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3844807"
% 1.98/1.79 % (3844826)lrs+10_1_sil=8000:sp=occurrence:random_seed=1383919433:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 1.98/1.79 % (3844815)------------------------------
% 1.98/1.79 % (3844815)------------------------------
% 1.98/1.79 % (3844827)lrs+10_1_sil=32000:urr=on:br=off:random_seed=686419733:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 1.98/1.79 % (3844827)Instruction limit reached!
% 1.98/1.79 % (3844827)------------------------------
% 1.98/1.79 % (3844827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.79 % (3844827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.79 % (3844827)CaDiCaL version: 2.1.3
% 1.98/1.79 % (3844827)Termination reason: Instruction limit
% 1.98/1.79 % (3844827)Termination phase: Saturation
% 1.98/1.79 % (3844827)Time elapsed: 0.085 s
% 1.98/1.79 % (3844827)Peak memory usage: 91 MB
% 1.98/1.79 % (3844827)Instructions burned: 159 (million)
% 1.98/1.79 % (3844826)Instruction limit reached!
% 1.98/1.79 % (3844826)------------------------------
% 1.98/1.79 % (3844826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.98/1.79 % (3844826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/1.79 % (3844826)CaDiCaL version: 2.1.3
% 1.98/1.79 % (3844826)Termination reason: Instruction limit
% 1.98/1.79 % (3844826)Termination phase: Saturation
% 1.98/1.79 % (3844826)Time elapsed: 0.237 s
% 1.98/1.79 % (3844826)Peak memory usage: 93 MB
% 1.98/1.79 % (3844826)Instructions burned: 285 (million)
% 1.98/1.79 % (3844817)Refutation found. Thanks to Tanya!
% 1.98/1.79 % SZS status Theorem for theBenchmark
% 1.98/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 6.12/1.96 % (3844817)------------------------------
% 6.12/1.96 % (3844817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.12/1.96 % (3844817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.96 % (3844817)CaDiCaL version: 2.1.3
% 6.12/1.96 % (3844817)Termination reason: Refutation
% 6.12/1.96 % (3844817)Time elapsed: 0.125 s
% 6.12/1.96 % (3844817)Peak memory usage: 91 MB
% 6.12/1.96 % (3844817)Instructions burned: 120 (million)
% 6.12/1.96 % (3844817)------------------------------
% 6.12/1.96 % (3844817)------------------------------
% 6.12/1.96 % (3844807)Success in time 0.772 s
% 6.12/1.96 % Vampire exiting
%------------------------------------------------------------------------------