%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC335+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 : n001.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 01:03:30 PM UTC 2026
% Result : Theorem 3.71s 1.18s
% Output : Refutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 26
% Syntax : Number of formulae : 188 ( 25 unt; 13 def)
% Number of atoms : 689 ( 83 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 868 ( 367 ~; 383 |; 71 &)
% ( 19 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn 132 !; 28 ?)
% 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(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(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(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
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
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X5,X4) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( segmentP(X1,X0)
& totalorderedP(X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X5,X4) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( 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(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
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X5,X4) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ~ 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
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X5,X4) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ~ 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(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
& ( ( sK55 = cons(sK57,nil)
& memberP(sK56,sK57)
& ! [X5] :
( ~ ssItem(X5)
| sK57 = X5
| ~ memberP(sK56,X5)
| ~ leq(X5,sK57) )
& ssItem(sK57) )
| ( nil = sK56
& nil = sK55 ) )
& ( ~ 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(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(f498,plain,
ssList(sK55),
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)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( ssItem(sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( memberP(sK56,sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
( memberP(sK56,sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
( sK55 = cons(sK57,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
( sK55 = cons(sK57,nil)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
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,[],[f318]) ).
fof(f530,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f444]) ).
fof(f546,definition,
( spl58_1
<=> totalorderedP(sK53) ),
introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).
fof(f548,plain,
( ~ totalorderedP(sK53)
| spl58_1 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f550,definition,
( spl58_2
<=> segmentP(sK54,sK53) ),
introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).
fof(f552,plain,
( ~ segmentP(sK54,sK53)
| spl58_2 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f553,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(avatar_split_clause,[],[f500,f550,f546]) ).
fof(f555,definition,
( spl58_3
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl58_3])],[avatar_definition]) ).
fof(f557,plain,
( nil = sK55
| ~ spl58_3 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f559,definition,
( spl58_4
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
fof(f561,plain,
( ssItem(sK57)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,plain,
( spl58_3
| spl58_4 ),
inference(avatar_split_clause,[],[f501,f559,f555]) ).
fof(f564,definition,
( spl58_5
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).
fof(f566,plain,
( nil = sK56
| ~ spl58_5 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( spl58_5
| spl58_4 ),
inference(avatar_split_clause,[],[f502,f559,f564]) ).
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_3
| spl58_7 ),
inference(avatar_split_clause,[],[f505,f574,f555]) ).
fof(f578,plain,
( spl58_5
| spl58_7 ),
inference(avatar_split_clause,[],[f506,f574,f564]) ).
fof(f580,definition,
( spl58_8
<=> sK55 = cons(sK57,nil) ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
fof(f582,plain,
( sK55 = cons(sK57,nil)
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,plain,
( spl58_3
| spl58_8 ),
inference(avatar_split_clause,[],[f507,f580,f555]) ).
fof(f584,plain,
( spl58_5
| spl58_8 ),
inference(avatar_split_clause,[],[f508,f580,f564]) ).
fof(f586,definition,
( spl58_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl58_9])],[avatar_definition]) ).
fof(f587,plain,
( ssList(nil)
| ~ spl58_9 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f600,definition,
( spl58_12
<=> ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl58_12])],[avatar_definition]) ).
fof(f601,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl58_12 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f603,plain,
spl58_12,
inference(avatar_split_clause,[],[f451,f600]) ).
fof(f605,definition,
( spl58_13
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl58_13])],[avatar_definition]) ).
fof(f608,plain,
( ~ spl58_9
| spl58_13 ),
inference(avatar_split_clause,[],[f530,f605,f586]) ).
fof(f619,plain,
spl58_9,
inference(avatar_split_clause,[],[f389,f586]) ).
fof(f622,plain,
( ~ segmentP(sK54,sK55)
| spl58_2 ),
inference(forward_demodulation,[],[f552,f509]) ).
fof(f623,plain,
( ~ segmentP(sK56,sK55)
| spl58_2 ),
inference(forward_demodulation,[],[f622,f510]) ).
fof(f628,plain,
( ~ segmentP(sK56,nil)
| spl58_2
| ~ spl58_3 ),
inference(forward_demodulation,[],[f623,f557]) ).
fof(f629,plain,
( ~ segmentP(nil,nil)
| spl58_2
| ~ spl58_3
| ~ spl58_5 ),
inference(forward_demodulation,[],[f628,f566]) ).
fof(f630,plain,
( ~ spl58_13
| spl58_2
| ~ spl58_3
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f629,f564,f555,f550,f605]) ).
fof(f631,plain,
( ~ totalorderedP(sK55)
| spl58_1 ),
inference(forward_demodulation,[],[f548,f509]) ).
fof(f633,plain,
( ~ totalorderedP(nil)
| spl58_1
| ~ spl58_3 ),
inference(forward_demodulation,[],[f631,f557]) ).
fof(f638,plain,
( $false
| spl58_1
| ~ spl58_3 ),
inference(forward_subsumption_resolution,[],[f452,f633]) ).
fof(f639,plain,
( spl58_1
| ~ spl58_3 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f665,plain,
( totalorderedP(sK55)
| ~ ssItem(sK57)
| ~ spl58_8
| ~ spl58_12 ),
inference(superposition,[],[f601,f582]) ).
fof(f666,plain,
( totalorderedP(sK55)
| ~ spl58_4
| ~ spl58_8
| ~ spl58_12 ),
inference(forward_subsumption_resolution,[],[f665,f561]) ).
fof(f877,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssItem(sK57)
| ~ ssList(X0) )
| ~ spl58_8 ),
inference(superposition,[],[f477,f582]) ).
fof(f886,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f877,f561]) ).
fof(f1070,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(superposition,[],[f401,f886]) ).
fof(f1071,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55) )
| ~ spl58_4
| ~ spl58_8 ),
inference(duplicate_literal_removal,[],[f1070]) ).
fof(f1077,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f1071,f498]) ).
fof(f1253,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(sK55)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_2 ),
inference(resolution,[],[f438,f623]) ).
fof(f1259,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f1253,f498]) ).
fof(f1260,plain,
( ! [X0] :
( ~ segmentP(X0,sK55)
| ~ segmentP(sK56,X0)
| ~ ssList(X0) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f1259,f499]) ).
fof(f1747,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7 ),
inference(resolution,[],[f302,f576]) ).
fof(f1756,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f1747,f561]) ).
fof(f1766,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f1756,f499]) ).
fof(f2069,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f516,f403]) ).
fof(f2075,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,f482]) ).
fof(f2076,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f2075]) ).
fof(f2079,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f2069]) ).
fof(f2085,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f2076,f401]) ).
fof(f2088,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f2079,f401]) ).
fof(f2091,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f2085,f587]) ).
fof(f2093,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f2088,f587]) ).
fof(f2408,definition,
( spl58_44
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl58_44])],[avatar_definition]) ).
fof(f2409,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl58_44 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f2410,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl58_44 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f2412,definition,
( spl58_45
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_45])],[avatar_definition]) ).
fof(f2413,plain,
( ssList(sK8(sK56,sK57))
| ~ spl58_45 ),
inference(avatar_component_clause,[],[f2412]) ).
fof(f2414,plain,
( ~ ssList(sK8(sK56,sK57))
| spl58_45 ),
inference(avatar_component_clause,[],[f2412]) ).
fof(f2467,definition,
( spl58_57
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_57])],[avatar_definition]) ).
fof(f2468,plain,
( ssList(sK9(sK56,sK57))
| ~ spl58_57 ),
inference(avatar_component_clause,[],[f2467]) ).
fof(f2469,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_57 ),
inference(avatar_component_clause,[],[f2467]) ).
fof(f2474,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_45 ),
inference(resolution,[],[f2414,f304]) ).
fof(f2475,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7
| spl58_45 ),
inference(forward_subsumption_resolution,[],[f2474,f576]) ).
fof(f2476,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7
| spl58_45 ),
inference(forward_subsumption_resolution,[],[f2475,f561]) ).
fof(f2477,plain,
( $false
| ~ spl58_4
| ~ spl58_7
| spl58_45 ),
inference(forward_subsumption_resolution,[],[f2476,f499]) ).
fof(f2478,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_45 ),
inference(avatar_contradiction_clause,[],[f2477]) ).
fof(f2505,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_57 ),
inference(resolution,[],[f2469,f303]) ).
fof(f2506,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7
| spl58_57 ),
inference(forward_subsumption_resolution,[],[f2505,f576]) ).
fof(f2507,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7
| spl58_57 ),
inference(forward_subsumption_resolution,[],[f2506,f561]) ).
fof(f2508,plain,
( $false
| ~ spl58_4
| ~ spl58_7
| spl58_57 ),
inference(forward_subsumption_resolution,[],[f2507,f499]) ).
fof(f2509,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_57 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
fof(f2524,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl58_44 ),
inference(resolution,[],[f2410,f388]) ).
fof(f2525,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl58_4
| spl58_44 ),
inference(forward_subsumption_resolution,[],[f2524,f561]) ).
fof(f2528,plain,
( $false
| ~ spl58_4
| spl58_44
| ~ spl58_57 ),
inference(forward_subsumption_resolution,[],[f2525,f2468]) ).
fof(f2529,plain,
( ~ spl58_4
| spl58_44
| ~ spl58_57 ),
inference(avatar_contradiction_clause,[],[f2528]) ).
fof(f3385,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_9 ),
inference(superposition,[],[f2091,f1766]) ).
fof(f3407,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_9
| ~ spl58_44 ),
inference(forward_subsumption_resolution,[],[f3385,f2409]) ).
fof(f3417,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45 ),
inference(forward_subsumption_resolution,[],[f3407,f2413]) ).
fof(f3443,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(sK55)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(superposition,[],[f2093,f886]) ).
fof(f3446,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(duplicate_literal_removal,[],[f3443]) ).
fof(f3458,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f3446,f498]) ).
fof(f3962,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(cons(sK57,X0)) )
| spl58_2
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(resolution,[],[f3458,f1260]) ).
fof(f3972,plain,
( ! [X0] :
( ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(X0) )
| spl58_2
| ~ spl58_4
| ~ spl58_8
| ~ spl58_9 ),
inference(forward_subsumption_resolution,[],[f3962,f1077]) ).
fof(f4089,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_2
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45 ),
inference(resolution,[],[f3972,f3417]) ).
fof(f4095,plain,
( $false
| spl58_2
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45
| ~ spl58_57 ),
inference(forward_subsumption_resolution,[],[f4089,f2468]) ).
fof(f4096,plain,
( spl58_2
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45
| ~ spl58_57 ),
inference(avatar_contradiction_clause,[],[f4095]) ).
fof(f4098,plain,
( ~ totalorderedP(sK55)
| spl58_1 ),
inference(forward_demodulation,[],[f548,f509]) ).
fof(f4103,plain,
( $false
| spl58_1
| ~ spl58_4
| ~ spl58_8
| ~ spl58_12 ),
inference(forward_subsumption_resolution,[],[f4098,f666]) ).
fof(f4104,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_8
| ~ spl58_12 ),
inference(avatar_contradiction_clause,[],[f4103]) ).
cnf(s1,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(sat_conversion,[],[f553]) ).
cnf(s2,plain,
( spl58_3
| spl58_4 ),
inference(sat_conversion,[],[f562]) ).
cnf(s3,plain,
( spl58_4
| spl58_5 ),
inference(sat_conversion,[],[f567]) ).
cnf(s6,plain,
( spl58_3
| spl58_7 ),
inference(sat_conversion,[],[f577]) ).
cnf(s7,plain,
( spl58_5
| spl58_7 ),
inference(sat_conversion,[],[f578]) ).
cnf(s8,plain,
( spl58_3
| spl58_8 ),
inference(sat_conversion,[],[f583]) ).
cnf(s9,plain,
( spl58_5
| spl58_8 ),
inference(sat_conversion,[],[f584]) ).
cnf(s14,plain,
spl58_12,
inference(sat_conversion,[],[f603]) ).
cnf(s15,plain,
( ~ spl58_9
| spl58_13 ),
inference(sat_conversion,[],[f608]) ).
cnf(s18,plain,
spl58_9,
inference(sat_conversion,[],[f619]) ).
cnf(s21,plain,
( spl58_2
| ~ spl58_3
| ~ spl58_5
| ~ spl58_13 ),
inference(sat_conversion,[],[f630]) ).
cnf(s23,plain,
( spl58_1
| ~ spl58_3 ),
inference(sat_conversion,[],[f639]) ).
cnf(s79,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_45 ),
inference(sat_conversion,[],[f2478]) ).
cnf(s80,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_57 ),
inference(sat_conversion,[],[f2509]) ).
cnf(s82,plain,
( ~ spl58_4
| spl58_44
| ~ spl58_57 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s174,plain,
( spl58_2
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_9
| ~ spl58_44
| ~ spl58_45
| ~ spl58_57 ),
inference(sat_conversion,[],[f4096]) ).
cnf(s176,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_8
| ~ spl58_12 ),
inference(sat_conversion,[],[f4104]) ).
cnf(s188,plain,
spl58_13,
inference(rat,[],[s15,s18]) ).
cnf(s190,plain,
spl58_1,
inference(rat,[],[s176,s2,s8,s23,s14]) ).
cnf(s191,plain,
~ spl58_2,
inference(rat,[],[s1,s190]) ).
cnf(s192,plain,
spl58_3,
inference(rat,[],[s174,s82,s79,s80,s2,s6,s8,s191,s18]) ).
cnf(s193,plain,
~ spl58_5,
inference(rat,[],[s21,s188,s191,s192]) ).
cnf(s195,plain,
spl58_8,
inference(rat,[],[s9,s193]) ).
cnf(s196,plain,
spl58_7,
inference(rat,[],[s7,s193]) ).
cnf(s198,plain,
spl58_4,
inference(rat,[],[s3,s193]) ).
cnf(s200,plain,
spl58_57,
inference(rat,[],[s80,s196,s198]) ).
cnf(s201,plain,
spl58_45,
inference(rat,[],[s79,s196,s198]) ).
cnf(s212,plain,
spl58_44,
inference(rat,[],[s82,s200,s198]) ).
cnf(s213,plain,
$false,
inference(rat,[],[s174,s200,s201,s196,s18,s195,s191,s212,s198]) ).
fof(f4106,plain,
$false,
inference(avatar_sat_refutation,[],[s213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC335+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:15:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.71/1.18 % (234649)Detected formulas, will run a generic FOF schedule.
% 3.71/1.18 % (234655)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=3849468111:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.71/1.18 % (234656)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=336704303:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.71/1.18 % (234654)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=4011354862:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.71/1.18 % (234659)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3049540042:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.71/1.18 % (234657)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=458834529:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.71/1.18 % (234660)dis-21_1_sil=8000:lcm=predicate:random_seed=2624393136: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)
% 3.71/1.18 % (234658)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2645881912:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.71/1.18 % (234657)Refutation not found, incomplete strategy
% 3.71/1.18 % (234657)------------------------------
% 3.71/1.18 % (234657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.18 % (234657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.18 % (234657)CaDiCaL version: 2.1.3
% 3.71/1.18 % (234657)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.18 % (234657)Time elapsed: 0.005 s
% 3.71/1.18 % (234657)Peak memory usage: 88 MB
% 3.71/1.18 % (234657)Instructions burned: 6 (million)
% 3.71/1.18 % (234658)Instruction limit reached!
% 3.71/1.18 % (234658)------------------------------
% 3.71/1.18 % (234658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.18 % (234658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.18 % (234658)CaDiCaL version: 2.1.3
% 3.71/1.18 % (234658)Termination reason: Instruction limit
% 3.71/1.18 % (234658)Termination phase: Saturation
% 3.71/1.18 % (234658)Time elapsed: 0.070 s
% 3.71/1.18 % (234658)Peak memory usage: 88 MB
% 3.71/1.18 % (234658)Instructions burned: 121 (million)
% 3.71/1.18 % (234660)Instruction limit reached!
% 3.71/1.18 % (234660)------------------------------
% 3.71/1.18 % (234660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.18 % (234660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.18 % (234660)CaDiCaL version: 2.1.3
% 3.71/1.18 % (234660)Termination reason: Instruction limit
% 3.71/1.18 % (234660)Termination phase: Saturation
% 3.71/1.18 % (234660)Time elapsed: 0.072 s
% 3.71/1.18 % (234660)Peak memory usage: 90 MB
% 3.71/1.18 % (234660)Instructions burned: 130 (million)
% 3.71/1.18 % (234659)First to succeed.
% 3.71/1.18 % (234659)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-234649"
% 3.71/1.18 % (234668)lrs+10_1_sil=8000:sp=occurrence:random_seed=2175284344:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.71/1.18 % (234669)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3380322167:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.71/1.18 % (234657)------------------------------
% 3.71/1.18 % (234657)------------------------------
% 3.71/1.18 % (234669)Instruction limit reached!
% 3.71/1.18 % (234669)------------------------------
% 3.71/1.18 % (234669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.18 % (234669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.18 % (234669)CaDiCaL version: 2.1.3
% 3.71/1.18 % (234669)Termination reason: Instruction limit
% 3.71/1.18 % (234669)Termination phase: Saturation
% 3.71/1.18 % (234669)Time elapsed: 0.075 s
% 3.71/1.18 % (234669)Peak memory usage: 92 MB
% 3.71/1.18 % (234669)Instructions burned: 157 (million)
% 3.71/1.18 % (234659)Refutation found. Thanks to Tanya!
% 3.71/1.18 % SZS status Theorem for theBenchmark
% 3.71/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 4.16/1.37 % (234659)------------------------------
% 4.16/1.37 % (234659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.37 % (234659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.37 % (234659)CaDiCaL version: 2.1.3
% 4.16/1.37 % (234659)Termination reason: Refutation
% 4.16/1.37 % (234659)Time elapsed: 0.086 s
% 4.16/1.37 % (234659)Peak memory usage: 91 MB
% 4.16/1.37 % (234659)Instructions burned: 125 (million)
% 4.16/1.37 % (234659)------------------------------
% 4.16/1.37 % (234659)------------------------------
% 4.16/1.37 % (234649)Success in time 0.502 s
% 4.16/1.37 % Vampire exiting
%------------------------------------------------------------------------------