%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC341+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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:32 PM UTC 2026
% Result : Theorem 2.18s 0.63s
% Output : Refutation 2.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 29
% Syntax : Number of formulae : 197 ( 25 unt; 15 def)
% Number of atoms : 707 ( 86 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 902 ( 392 ~; 392 |; 65 &)
% ( 23 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 16 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 163 ( 0 sgn 137 !; 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/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(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(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(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
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
| ( nil != X2
& nil = X3 )
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& neq(X3,nil) )
| ( segmentP(X1,X0)
& totalorderedP(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
| ( nil != X2
& nil = X3 )
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& neq(X3,nil) )
| ( segmentP(X1,X0)
& totalorderedP(X0) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(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(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(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f180,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
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 )
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,X0)
| ~ totalorderedP(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 )
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,X0)
| ~ totalorderedP(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(f285,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ( nil = sK55
| nil != sK56 )
& ( ( sK55 = cons(sK57,nil)
& memberP(sK56,sK57)
& ssItem(sK57) )
| ~ neq(sK56,nil) )
& ( ~ segmentP(sK54,sK53)
| ~ totalorderedP(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(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(f444,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f451,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f452,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
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,
( ~ segmentP(sK54,sK53)
| ~ totalorderedP(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 = sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f512,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(f526,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f444]) ).
fof(f542,definition,
( spl58_1
<=> totalorderedP(sK53) ),
introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).
fof(f544,plain,
( ~ totalorderedP(sK53)
| spl58_1 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f546,definition,
( spl58_2
<=> segmentP(sK54,sK53) ),
introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).
fof(f548,plain,
( ~ segmentP(sK54,sK53)
| spl58_2 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f549,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(avatar_split_clause,[],[f500,f546,f542]) ).
fof(f551,definition,
( spl58_3
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl58_3])],[avatar_definition]) ).
fof(f553,plain,
( ~ neq(sK56,nil)
| spl58_3 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f555,definition,
( spl58_4
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
fof(f557,plain,
( ssItem(sK57)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f558,plain,
( ~ spl58_3
| spl58_4 ),
inference(avatar_split_clause,[],[f501,f555,f551]) ).
fof(f560,definition,
( spl58_5
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).
fof(f562,plain,
( memberP(sK56,sK57)
| ~ spl58_5 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( ~ spl58_3
| spl58_5 ),
inference(avatar_split_clause,[],[f502,f560,f551]) ).
fof(f565,definition,
( spl58_6
<=> sK55 = cons(sK57,nil) ),
introduced(definition,[new_symbols(definition,[spl58_6])],[avatar_definition]) ).
fof(f567,plain,
( sK55 = cons(sK57,nil)
| ~ spl58_6 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,plain,
( ~ spl58_3
| spl58_6 ),
inference(avatar_split_clause,[],[f503,f565,f551]) ).
fof(f570,definition,
( spl58_7
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl58_7])],[avatar_definition]) ).
fof(f571,plain,
( nil = sK56
| ~ spl58_7 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,definition,
( spl58_8
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
fof(f576,plain,
( nil = sK55
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,plain,
( ~ spl58_7
| spl58_8 ),
inference(avatar_split_clause,[],[f504,f574,f570]) ).
fof(f579,definition,
( spl58_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl58_9])],[avatar_definition]) ).
fof(f580,plain,
( ssList(nil)
| ~ spl58_9 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f593,definition,
( spl58_12
<=> ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl58_12])],[avatar_definition]) ).
fof(f594,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl58_12 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
spl58_12,
inference(avatar_split_clause,[],[f451,f593]) ).
fof(f598,definition,
( spl58_13
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl58_13])],[avatar_definition]) ).
fof(f600,plain,
( segmentP(nil,nil)
| ~ spl58_13 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( ~ spl58_9
| spl58_13 ),
inference(avatar_split_clause,[],[f526,f598,f579]) ).
fof(f612,plain,
spl58_9,
inference(avatar_split_clause,[],[f389,f579]) ).
fof(f651,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl58_3 ),
inference(resolution,[],[f387,f553]) ).
fof(f660,plain,
( nil = sK56
| ~ ssList(sK56)
| spl58_3
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f651,f580]) ).
fof(f661,plain,
( nil = sK56
| spl58_3
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f660,f499]) ).
fof(f662,plain,
( spl58_7
| spl58_3
| ~ spl58_9 ),
inference(avatar_split_clause,[],[f661,f579,f551,f570]) ).
fof(f667,plain,
( nil = sK53
| ~ spl58_8 ),
inference(superposition,[],[f576,f505]) ).
fof(f674,plain,
( ~ totalorderedP(nil)
| spl58_1
| ~ spl58_8 ),
inference(superposition,[],[f544,f667]) ).
fof(f676,plain,
( $false
| spl58_1
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f674,f452]) ).
fof(f677,plain,
( spl58_1
| ~ spl58_8 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f678,plain,
( sK53 = cons(sK57,nil)
| ~ spl58_6 ),
inference(forward_demodulation,[],[f567,f505]) ).
fof(f686,plain,
( totalorderedP(sK53)
| ~ ssItem(sK57)
| ~ spl58_6
| ~ spl58_12 ),
inference(superposition,[],[f594,f678]) ).
fof(f702,plain,
( ~ segmentP(sK56,sK53)
| spl58_2 ),
inference(forward_demodulation,[],[f548,f506]) ).
fof(f703,plain,
( totalorderedP(sK53)
| ~ spl58_4
| ~ spl58_6
| ~ spl58_12 ),
inference(forward_subsumption_resolution,[],[f686,f557]) ).
fof(f704,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_6
| ~ spl58_12 ),
inference(avatar_split_clause,[],[f703,f593,f565,f555,f542]) ).
fof(f880,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK53,X0)
| ~ ssItem(sK57)
| ~ ssList(X0) )
| ~ spl58_6 ),
inference(superposition,[],[f477,f678]) ).
fof(f889,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK53,X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6 ),
inference(forward_subsumption_resolution,[],[f880,f557]) ).
fof(f1073,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK53)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6 ),
inference(superposition,[],[f401,f889]) ).
fof(f1074,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK53) )
| ~ spl58_4
| ~ spl58_6 ),
inference(duplicate_literal_removal,[],[f1073]) ).
fof(f1080,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6 ),
inference(forward_subsumption_resolution,[],[f1074,f496]) ).
fof(f1257,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK53)
| ~ ssList(sK53)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_2 ),
inference(resolution,[],[f438,f702]) ).
fof(f1261,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK53)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f1257,f496]) ).
fof(f1263,plain,
( ! [X0] :
( ~ segmentP(X0,sK53)
| ~ segmentP(sK56,X0)
| ~ ssList(X0) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f1261,f499]) ).
fof(f1750,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_5 ),
inference(resolution,[],[f302,f562]) ).
fof(f1759,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_5 ),
inference(forward_subsumption_resolution,[],[f1750,f557]) ).
fof(f1769,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_5 ),
inference(forward_subsumption_resolution,[],[f1759,f499]) ).
fof(f2072,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f512,f403]) ).
fof(f2078,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f512,f482]) ).
fof(f2079,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f2078]) ).
fof(f2082,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f2072]) ).
fof(f2088,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f2079,f401]) ).
fof(f2091,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f2082,f401]) ).
fof(f2094,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f2088,f580]) ).
fof(f2096,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f2091,f580]) ).
fof(f2338,definition,
( spl58_44
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl58_44])],[avatar_definition]) ).
fof(f2339,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl58_44 ),
inference(avatar_component_clause,[],[f2338]) ).
fof(f2340,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl58_44 ),
inference(avatar_component_clause,[],[f2338]) ).
fof(f2342,definition,
( spl58_45
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_45])],[avatar_definition]) ).
fof(f2343,plain,
( ssList(sK8(sK56,sK57))
| ~ spl58_45 ),
inference(avatar_component_clause,[],[f2342]) ).
fof(f2344,plain,
( ~ ssList(sK8(sK56,sK57))
| spl58_45 ),
inference(avatar_component_clause,[],[f2342]) ).
fof(f2397,definition,
( spl58_57
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_57])],[avatar_definition]) ).
fof(f2398,plain,
( ssList(sK9(sK56,sK57))
| ~ spl58_57 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f2399,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_57 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f2404,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_45 ),
inference(resolution,[],[f2344,f304]) ).
fof(f2405,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_5
| spl58_45 ),
inference(forward_subsumption_resolution,[],[f2404,f562]) ).
fof(f2406,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_5
| spl58_45 ),
inference(forward_subsumption_resolution,[],[f2405,f557]) ).
fof(f2407,plain,
( $false
| ~ spl58_4
| ~ spl58_5
| spl58_45 ),
inference(forward_subsumption_resolution,[],[f2406,f499]) ).
fof(f2408,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_45 ),
inference(avatar_contradiction_clause,[],[f2407]) ).
fof(f2435,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_57 ),
inference(resolution,[],[f2399,f303]) ).
fof(f2436,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_5
| spl58_57 ),
inference(forward_subsumption_resolution,[],[f2435,f562]) ).
fof(f2437,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_5
| spl58_57 ),
inference(forward_subsumption_resolution,[],[f2436,f557]) ).
fof(f2438,plain,
( $false
| ~ spl58_4
| ~ spl58_5
| spl58_57 ),
inference(forward_subsumption_resolution,[],[f2437,f499]) ).
fof(f2439,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_57 ),
inference(avatar_contradiction_clause,[],[f2438]) ).
fof(f2454,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl58_44 ),
inference(resolution,[],[f2340,f388]) ).
fof(f2455,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl58_4
| spl58_44 ),
inference(forward_subsumption_resolution,[],[f2454,f557]) ).
fof(f3142,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_5
| ~ spl58_9 ),
inference(superposition,[],[f2094,f1769]) ).
fof(f3164,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_5
| ~ spl58_9
| ~ spl58_44 ),
inference(forward_subsumption_resolution,[],[f3142,f2339]) ).
fof(f3174,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_5
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45 ),
inference(forward_subsumption_resolution,[],[f3164,f2343]) ).
fof(f3206,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(sK53)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6
| ~ spl58_9 ),
inference(superposition,[],[f2096,f889]) ).
fof(f3209,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(sK53)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6
| ~ spl58_9 ),
inference(duplicate_literal_removal,[],[f3206]) ).
fof(f3221,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK53)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_6
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f3209,f496]) ).
fof(f3618,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(cons(sK57,X0)) )
| spl58_2
| ~ spl58_4
| ~ spl58_6
| ~ spl58_9 ),
inference(resolution,[],[f3221,f1263]) ).
fof(f3628,plain,
( ! [X0] :
( ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(X0) )
| spl58_2
| ~ spl58_4
| ~ spl58_6
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f3618,f1080]) ).
fof(f3692,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_2
| ~ spl58_4
| ~ spl58_5
| ~ spl58_6
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45 ),
inference(resolution,[],[f3628,f3174]) ).
fof(f3698,plain,
( $false
| spl58_2
| ~ spl58_4
| ~ spl58_5
| ~ spl58_6
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45
| ~ spl58_57 ),
inference(forward_subsumption_resolution,[],[f3692,f2398]) ).
fof(f3699,plain,
( spl58_2
| ~ spl58_4
| ~ spl58_5
| ~ spl58_6
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45
| ~ spl58_57 ),
inference(avatar_contradiction_clause,[],[f3698]) ).
fof(f3762,definition,
( spl58_115
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl58_115])],[avatar_definition]) ).
fof(f3764,plain,
( nil = sK53
| ~ spl58_115 ),
inference(avatar_component_clause,[],[f3762]) ).
fof(f3829,plain,
( ~ spl58_57
| ~ spl58_4
| spl58_44 ),
inference(avatar_split_clause,[],[f2455,f2338,f555,f2397]) ).
fof(f3864,plain,
( nil = sK53
| ~ spl58_8 ),
inference(superposition,[],[f505,f576]) ).
fof(f3866,plain,
( spl58_115
| ~ spl58_8 ),
inference(avatar_split_clause,[],[f3864,f574,f3762]) ).
fof(f4074,plain,
( ~ segmentP(sK56,nil)
| spl58_2
| ~ spl58_115 ),
inference(superposition,[],[f702,f3764]) ).
fof(f4111,plain,
( ~ segmentP(nil,nil)
| spl58_2
| ~ spl58_7
| ~ spl58_115 ),
inference(forward_demodulation,[],[f4074,f571]) ).
fof(f4115,plain,
( $false
| spl58_2
| ~ spl58_7
| ~ spl58_13
| ~ spl58_115 ),
inference(forward_subsumption_resolution,[],[f4111,f600]) ).
fof(f4116,plain,
( spl58_2
| ~ spl58_7
| ~ spl58_13
| ~ spl58_115 ),
inference(avatar_contradiction_clause,[],[f4115]) ).
cnf(s1,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(sat_conversion,[],[f549]) ).
cnf(s2,plain,
( ~ spl58_3
| spl58_4 ),
inference(sat_conversion,[],[f558]) ).
cnf(s3,plain,
( ~ spl58_3
| spl58_5 ),
inference(sat_conversion,[],[f563]) ).
cnf(s4,plain,
( ~ spl58_3
| spl58_6 ),
inference(sat_conversion,[],[f568]) ).
cnf(s5,plain,
( ~ spl58_7
| spl58_8 ),
inference(sat_conversion,[],[f577]) ).
cnf(s10,plain,
spl58_12,
inference(sat_conversion,[],[f596]) ).
cnf(s11,plain,
( ~ spl58_9
| spl58_13 ),
inference(sat_conversion,[],[f601]) ).
cnf(s14,plain,
spl58_9,
inference(sat_conversion,[],[f612]) ).
cnf(s17,plain,
( spl58_3
| spl58_7
| ~ spl58_9 ),
inference(sat_conversion,[],[f662]) ).
cnf(s19,plain,
( spl58_1
| ~ spl58_8 ),
inference(sat_conversion,[],[f677]) ).
cnf(s21,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_6
| ~ spl58_12 ),
inference(sat_conversion,[],[f704]) ).
cnf(s70,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_45 ),
inference(sat_conversion,[],[f2408]) ).
cnf(s71,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_57 ),
inference(sat_conversion,[],[f2439]) ).
cnf(s135,plain,
( spl58_2
| ~ spl58_4
| ~ spl58_5
| ~ spl58_6
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45
| ~ spl58_57 ),
inference(sat_conversion,[],[f3699]) ).
cnf(s158,plain,
( ~ spl58_4
| spl58_44
| ~ spl58_57 ),
inference(sat_conversion,[],[f3829]) ).
cnf(s162,plain,
( ~ spl58_8
| spl58_115 ),
inference(sat_conversion,[],[f3866]) ).
cnf(s234,plain,
( spl58_2
| ~ spl58_7
| ~ spl58_13
| ~ spl58_115 ),
inference(sat_conversion,[],[f4116]) ).
cnf(s247,plain,
spl58_13,
inference(rat,[],[s11,s14]) ).
cnf(s249,plain,
spl58_1,
inference(rat,[],[s21,s2,s4,s17,s5,s19,s10,s14]) ).
cnf(s250,plain,
~ spl58_2,
inference(rat,[],[s1,s249]) ).
cnf(s251,plain,
~ spl58_7,
inference(rat,[],[s162,s5,s234,s247,s250]) ).
cnf(s252,plain,
spl58_3,
inference(rat,[],[s17,s14,s251]) ).
cnf(s253,plain,
spl58_6,
inference(rat,[],[s4,s252]) ).
cnf(s254,plain,
spl58_5,
inference(rat,[],[s3,s252]) ).
cnf(s255,plain,
spl58_4,
inference(rat,[],[s2,s252]) ).
cnf(s279,plain,
spl58_57,
inference(rat,[],[s71,s254,s255]) ).
cnf(s280,plain,
spl58_45,
inference(rat,[],[s70,s254,s255]) ).
cnf(s290,plain,
spl58_44,
inference(rat,[],[s158,s279,s255]) ).
cnf(s291,plain,
$false,
inference(rat,[],[s135,s279,s253,s254,s14,s250,s290,s280,s255]) ).
fof(f4119,plain,
$false,
inference(avatar_sat_refutation,[],[s291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC341+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 09:10:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 2.18/0.63 % (3251856)Detected formulas, will run a generic FOF schedule.
% 2.18/0.63 % (3251865)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3184832754:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.18/0.63 % (3251861)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=85987413:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.18/0.63 % (3251863)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=4241772047:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.18/0.63 % (3251862)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=2012481160:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.18/0.63 % (3251864)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2608955415:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.18/0.63 % (3251867)dis-21_1_sil=8000:lcm=predicate:random_seed=2432421648: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)
% 2.18/0.63 % (3251866)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=341185737:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.18/0.63 % (3251864)Refutation not found, incomplete strategy
% 2.18/0.63 % (3251864)------------------------------
% 2.18/0.63 % (3251864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.63 % (3251864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.63 % (3251864)CaDiCaL version: 2.1.3
% 2.18/0.63 % (3251864)Termination reason: Refutation not found, incomplete strategy
% 2.18/0.63 % (3251864)Time elapsed: 0.002 s
% 2.18/0.63 % (3251864)Peak memory usage: 88 MB
% 2.18/0.63 % (3251864)Instructions burned: 5 (million)
% 2.18/0.63 % (3251867)Instruction limit reached!
% 2.18/0.63 % (3251867)------------------------------
% 2.18/0.63 % (3251867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.63 % (3251867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.63 % (3251867)CaDiCaL version: 2.1.3
% 2.18/0.63 % (3251867)Termination reason: Instruction limit
% 2.18/0.63 % (3251867)Termination phase: Saturation
% 2.18/0.63 % (3251867)Time elapsed: 0.040 s
% 2.18/0.63 % (3251867)Peak memory usage: 90 MB
% 2.18/0.63 % (3251867)Instructions burned: 129 (million)
% 2.18/0.63 % (3251865)Instruction limit reached!
% 2.18/0.63 % (3251865)------------------------------
% 2.18/0.63 % (3251865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.63 % (3251865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.63 % (3251865)CaDiCaL version: 2.1.3
% 2.18/0.63 % (3251865)Termination reason: Instruction limit
% 2.18/0.63 % (3251865)Termination phase: Saturation
% 2.18/0.63 % (3251865)Time elapsed: 0.040 s
% 2.18/0.63 % (3251865)Peak memory usage: 88 MB
% 2.18/0.63 % (3251865)Instructions burned: 121 (million)
% 2.18/0.63 % (3251866)First to succeed.
% 2.18/0.63 % (3251866)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3251856"
% 2.18/0.63 % (3251876)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3066137549:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.18/0.63 % (3251875)lrs+10_1_sil=8000:sp=occurrence:random_seed=1005693188:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.18/0.63 % (3251864)------------------------------
% 2.18/0.63 % (3251864)------------------------------
% 2.18/0.63 % (3251876)Instruction limit reached!
% 2.18/0.63 % (3251876)------------------------------
% 2.18/0.63 % (3251876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/0.63 % (3251876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.63 % (3251876)CaDiCaL version: 2.1.3
% 2.18/0.63 % (3251876)Termination reason: Instruction limit
% 2.18/0.63 % (3251876)Termination phase: Saturation
% 2.18/0.63 % (3251876)Time elapsed: 0.041 s
% 2.18/0.63 % (3251876)Peak memory usage: 91 MB
% 2.18/0.63 % (3251876)Instructions burned: 157 (million)
% 2.18/0.63 % (3251866)Refutation found. Thanks to Tanya!
% 2.18/0.63 % SZS status Theorem for theBenchmark
% 2.18/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.44/0.73 % (3251866)------------------------------
% 2.44/0.73 % (3251866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/0.73 % (3251866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.73 % (3251866)CaDiCaL version: 2.1.3
% 2.44/0.73 % (3251866)Termination reason: Refutation
% 2.44/0.73 % (3251866)Time elapsed: 0.046 s
% 2.44/0.73 % (3251866)Peak memory usage: 91 MB
% 2.44/0.73 % (3251866)Instructions burned: 126 (million)
% 2.44/0.73 % (3251866)------------------------------
% 2.44/0.73 % (3251866)------------------------------
% 2.44/0.73 % (3251856)Success in time 0.314 s
% 2.44/0.73 % Vampire exiting
%------------------------------------------------------------------------------