%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC342+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 : n015.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 3.71s 1.19s
% Output : Refutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 26
% Syntax : Number of formulae : 188 ( 25 unt; 13 def)
% Number of atoms : 669 ( 78 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 837 ( 356 ~; 372 |; 62 &)
% ( 19 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn 129 !; 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(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
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& ( nil != X3
| nil != X2 ) )
| ( 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
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,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)
& 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)
& 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)
& 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(f503,plain,
( memberP(sK56,sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( memberP(sK56,sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( sK55 = cons(sK57,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
( sK55 = cons(sK57,nil)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f514,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(f528,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f444]) ).
fof(f544,definition,
( spl58_1
<=> totalorderedP(sK53) ),
introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).
fof(f546,plain,
( ~ totalorderedP(sK53)
| spl58_1 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f548,definition,
( spl58_2
<=> segmentP(sK54,sK53) ),
introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).
fof(f550,plain,
( ~ segmentP(sK54,sK53)
| spl58_2 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f551,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(avatar_split_clause,[],[f500,f548,f544]) ).
fof(f553,definition,
( spl58_3
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl58_3])],[avatar_definition]) ).
fof(f555,plain,
( nil = sK55
| ~ spl58_3 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f557,definition,
( spl58_4
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
fof(f559,plain,
( ssItem(sK57)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f560,plain,
( spl58_3
| spl58_4 ),
inference(avatar_split_clause,[],[f501,f557,f553]) ).
fof(f562,definition,
( spl58_5
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).
fof(f564,plain,
( nil = sK56
| ~ spl58_5 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f565,plain,
( spl58_5
| spl58_4 ),
inference(avatar_split_clause,[],[f502,f557,f562]) ).
fof(f567,definition,
( spl58_6
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl58_6])],[avatar_definition]) ).
fof(f569,plain,
( memberP(sK56,sK57)
| ~ spl58_6 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f570,plain,
( spl58_3
| spl58_6 ),
inference(avatar_split_clause,[],[f503,f567,f553]) ).
fof(f571,plain,
( spl58_5
| spl58_6 ),
inference(avatar_split_clause,[],[f504,f567,f562]) ).
fof(f573,definition,
( spl58_7
<=> sK55 = cons(sK57,nil) ),
introduced(definition,[new_symbols(definition,[spl58_7])],[avatar_definition]) ).
fof(f575,plain,
( sK55 = cons(sK57,nil)
| ~ spl58_7 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f576,plain,
( spl58_3
| spl58_7 ),
inference(avatar_split_clause,[],[f505,f573,f553]) ).
fof(f577,plain,
( spl58_5
| spl58_7 ),
inference(avatar_split_clause,[],[f506,f573,f562]) ).
fof(f579,definition,
( spl58_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
fof(f580,plain,
( ssList(nil)
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f593,definition,
( spl58_11
<=> ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl58_11])],[avatar_definition]) ).
fof(f594,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl58_11 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
spl58_11,
inference(avatar_split_clause,[],[f451,f593]) ).
fof(f598,definition,
( spl58_12
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl58_12])],[avatar_definition]) ).
fof(f601,plain,
( ~ spl58_8
| spl58_12 ),
inference(avatar_split_clause,[],[f528,f598,f579]) ).
fof(f612,plain,
spl58_8,
inference(avatar_split_clause,[],[f389,f579]) ).
fof(f615,plain,
( ~ segmentP(sK54,sK55)
| spl58_2 ),
inference(forward_demodulation,[],[f550,f507]) ).
fof(f616,plain,
( ~ segmentP(sK56,sK55)
| spl58_2 ),
inference(forward_demodulation,[],[f615,f508]) ).
fof(f621,plain,
( ~ segmentP(sK56,nil)
| spl58_2
| ~ spl58_3 ),
inference(forward_demodulation,[],[f616,f555]) ).
fof(f622,plain,
( ~ segmentP(nil,nil)
| spl58_2
| ~ spl58_3
| ~ spl58_5 ),
inference(forward_demodulation,[],[f621,f564]) ).
fof(f623,plain,
( ~ spl58_12
| spl58_2
| ~ spl58_3
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f622,f562,f553,f548,f598]) ).
fof(f624,plain,
( ~ totalorderedP(sK55)
| spl58_1 ),
inference(forward_demodulation,[],[f546,f507]) ).
fof(f626,plain,
( ~ totalorderedP(nil)
| spl58_1
| ~ spl58_3 ),
inference(forward_demodulation,[],[f624,f555]) ).
fof(f631,plain,
( $false
| spl58_1
| ~ spl58_3 ),
inference(forward_subsumption_resolution,[],[f452,f626]) ).
fof(f632,plain,
( spl58_1
| ~ spl58_3 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f653,plain,
( totalorderedP(sK55)
| ~ ssItem(sK57)
| ~ spl58_7
| ~ spl58_11 ),
inference(superposition,[],[f594,f575]) ).
fof(f654,plain,
( totalorderedP(sK55)
| ~ spl58_4
| ~ spl58_7
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f653,f559]) ).
fof(f865,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssItem(sK57)
| ~ ssList(X0) )
| ~ spl58_7 ),
inference(superposition,[],[f477,f575]) ).
fof(f874,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f865,f559]) ).
fof(f1058,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_7 ),
inference(superposition,[],[f401,f874]) ).
fof(f1059,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55) )
| ~ spl58_4
| ~ spl58_7 ),
inference(duplicate_literal_removal,[],[f1058]) ).
fof(f1065,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f1059,f498]) ).
fof(f1241,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(sK55)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_2 ),
inference(resolution,[],[f438,f616]) ).
fof(f1247,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f1241,f498]) ).
fof(f1248,plain,
( ! [X0] :
( ~ segmentP(X0,sK55)
| ~ segmentP(sK56,X0)
| ~ ssList(X0) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f1247,f499]) ).
fof(f1735,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_6 ),
inference(resolution,[],[f302,f569]) ).
fof(f1744,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_6 ),
inference(forward_subsumption_resolution,[],[f1735,f559]) ).
fof(f1754,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_6 ),
inference(forward_subsumption_resolution,[],[f1744,f499]) ).
fof(f2057,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f514,f403]) ).
fof(f2063,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f514,f482]) ).
fof(f2064,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f2063]) ).
fof(f2067,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f2057]) ).
fof(f2073,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f2064,f401]) ).
fof(f2076,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f2067,f401]) ).
fof(f2079,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f2073,f580]) ).
fof(f2081,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f2076,f580]) ).
fof(f2327,definition,
( spl58_43
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl58_43])],[avatar_definition]) ).
fof(f2328,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl58_43 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f2329,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl58_43 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f2331,definition,
( spl58_44
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_44])],[avatar_definition]) ).
fof(f2332,plain,
( ssList(sK8(sK56,sK57))
| ~ spl58_44 ),
inference(avatar_component_clause,[],[f2331]) ).
fof(f2333,plain,
( ~ ssList(sK8(sK56,sK57))
| spl58_44 ),
inference(avatar_component_clause,[],[f2331]) ).
fof(f2386,definition,
( spl58_56
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_56])],[avatar_definition]) ).
fof(f2387,plain,
( ssList(sK9(sK56,sK57))
| ~ spl58_56 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f2388,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_56 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f2393,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_44 ),
inference(resolution,[],[f2333,f304]) ).
fof(f2394,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_6
| spl58_44 ),
inference(forward_subsumption_resolution,[],[f2393,f569]) ).
fof(f2395,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_6
| spl58_44 ),
inference(forward_subsumption_resolution,[],[f2394,f559]) ).
fof(f2396,plain,
( $false
| ~ spl58_4
| ~ spl58_6
| spl58_44 ),
inference(forward_subsumption_resolution,[],[f2395,f499]) ).
fof(f2397,plain,
( ~ spl58_4
| ~ spl58_6
| spl58_44 ),
inference(avatar_contradiction_clause,[],[f2396]) ).
fof(f2424,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_56 ),
inference(resolution,[],[f2388,f303]) ).
fof(f2425,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_6
| spl58_56 ),
inference(forward_subsumption_resolution,[],[f2424,f569]) ).
fof(f2426,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_6
| spl58_56 ),
inference(forward_subsumption_resolution,[],[f2425,f559]) ).
fof(f2427,plain,
( $false
| ~ spl58_4
| ~ spl58_6
| spl58_56 ),
inference(forward_subsumption_resolution,[],[f2426,f499]) ).
fof(f2428,plain,
( ~ spl58_4
| ~ spl58_6
| spl58_56 ),
inference(avatar_contradiction_clause,[],[f2427]) ).
fof(f2443,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl58_43 ),
inference(resolution,[],[f2329,f388]) ).
fof(f2444,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl58_4
| spl58_43 ),
inference(forward_subsumption_resolution,[],[f2443,f559]) ).
fof(f2447,plain,
( $false
| ~ spl58_4
| spl58_43
| ~ spl58_56 ),
inference(forward_subsumption_resolution,[],[f2444,f2387]) ).
fof(f2448,plain,
( ~ spl58_4
| spl58_43
| ~ spl58_56 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f3184,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_6
| ~ spl58_8 ),
inference(superposition,[],[f2079,f1754]) ).
fof(f3206,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_6
| ~ spl58_8
| ~ spl58_43 ),
inference(forward_subsumption_resolution,[],[f3184,f2328]) ).
fof(f3216,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_6
| ~ spl58_8
| ~ spl58_43
| ~ spl58_44 ),
inference(forward_subsumption_resolution,[],[f3206,f2332]) ).
fof(f3243,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(sK55)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8 ),
inference(superposition,[],[f2081,f874]) ).
fof(f3246,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8 ),
inference(duplicate_literal_removal,[],[f3243]) ).
fof(f3258,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f3246,f498]) ).
fof(f3876,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(cons(sK57,X0)) )
| spl58_2
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8 ),
inference(resolution,[],[f3258,f1248]) ).
fof(f3886,plain,
( ! [X0] :
( ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(X0) )
| spl58_2
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f3876,f1065]) ).
fof(f4222,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_2
| ~ spl58_4
| ~ spl58_6
| ~ spl58_7
| ~ spl58_8
| ~ spl58_43
| ~ spl58_44 ),
inference(resolution,[],[f3886,f3216]) ).
fof(f4228,plain,
( $false
| spl58_2
| ~ spl58_4
| ~ spl58_6
| ~ spl58_7
| ~ spl58_8
| ~ spl58_43
| ~ spl58_44
| ~ spl58_56 ),
inference(forward_subsumption_resolution,[],[f4222,f2387]) ).
fof(f4229,plain,
( spl58_2
| ~ spl58_4
| ~ spl58_6
| ~ spl58_7
| ~ spl58_8
| ~ spl58_43
| ~ spl58_44
| ~ spl58_56 ),
inference(avatar_contradiction_clause,[],[f4228]) ).
fof(f4231,plain,
( ~ totalorderedP(sK55)
| spl58_1 ),
inference(forward_demodulation,[],[f546,f507]) ).
fof(f4236,plain,
( $false
| spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f4231,f654]) ).
fof(f4237,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_11 ),
inference(avatar_contradiction_clause,[],[f4236]) ).
cnf(s1,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(sat_conversion,[],[f551]) ).
cnf(s2,plain,
( spl58_3
| spl58_4 ),
inference(sat_conversion,[],[f560]) ).
cnf(s3,plain,
( spl58_4
| spl58_5 ),
inference(sat_conversion,[],[f565]) ).
cnf(s4,plain,
( spl58_3
| spl58_6 ),
inference(sat_conversion,[],[f570]) ).
cnf(s5,plain,
( spl58_5
| spl58_6 ),
inference(sat_conversion,[],[f571]) ).
cnf(s6,plain,
( spl58_3
| spl58_7 ),
inference(sat_conversion,[],[f576]) ).
cnf(s7,plain,
( spl58_5
| spl58_7 ),
inference(sat_conversion,[],[f577]) ).
cnf(s12,plain,
spl58_11,
inference(sat_conversion,[],[f596]) ).
cnf(s13,plain,
( ~ spl58_8
| spl58_12 ),
inference(sat_conversion,[],[f601]) ).
cnf(s16,plain,
spl58_8,
inference(sat_conversion,[],[f612]) ).
cnf(s19,plain,
( spl58_2
| ~ spl58_3
| ~ spl58_5
| ~ spl58_12 ),
inference(sat_conversion,[],[f623]) ).
cnf(s21,plain,
( spl58_1
| ~ spl58_3 ),
inference(sat_conversion,[],[f632]) ).
cnf(s72,plain,
( ~ spl58_4
| ~ spl58_6
| spl58_44 ),
inference(sat_conversion,[],[f2397]) ).
cnf(s73,plain,
( ~ spl58_4
| ~ spl58_6
| spl58_56 ),
inference(sat_conversion,[],[f2428]) ).
cnf(s75,plain,
( ~ spl58_4
| spl58_43
| ~ spl58_56 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s159,plain,
( spl58_2
| ~ spl58_4
| ~ spl58_6
| ~ spl58_7
| ~ spl58_8
| ~ spl58_43
| ~ spl58_44
| ~ spl58_56 ),
inference(sat_conversion,[],[f4229]) ).
cnf(s161,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_11 ),
inference(sat_conversion,[],[f4237]) ).
cnf(s173,plain,
spl58_12,
inference(rat,[],[s13,s16]) ).
cnf(s175,plain,
spl58_1,
inference(rat,[],[s161,s2,s6,s21,s12]) ).
cnf(s176,plain,
~ spl58_2,
inference(rat,[],[s1,s175]) ).
cnf(s177,plain,
spl58_3,
inference(rat,[],[s159,s75,s72,s73,s2,s4,s6,s176,s16]) ).
cnf(s178,plain,
~ spl58_5,
inference(rat,[],[s19,s173,s176,s177]) ).
cnf(s179,plain,
spl58_7,
inference(rat,[],[s7,s178]) ).
cnf(s180,plain,
spl58_6,
inference(rat,[],[s5,s178]) ).
cnf(s181,plain,
spl58_4,
inference(rat,[],[s3,s178]) ).
cnf(s183,plain,
spl58_56,
inference(rat,[],[s73,s180,s181]) ).
cnf(s184,plain,
spl58_44,
inference(rat,[],[s72,s180,s181]) ).
cnf(s194,plain,
spl58_43,
inference(rat,[],[s75,s183,s181]) ).
cnf(s195,plain,
$false,
inference(rat,[],[s159,s183,s184,s180,s16,s179,s176,s194,s181]) ).
fof(f4239,plain,
$false,
inference(avatar_sat_refutation,[],[s195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC342+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n015.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:14:46 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.71/1.19 % (2490450)Detected formulas, will run a generic FOF schedule.
% 3.71/1.19 % (2490455)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=1942932799:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.71/1.19 % (2490458)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3002699928:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.71/1.19 % (2490456)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=2320703681:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.71/1.19 % (2490461)dis-21_1_sil=8000:lcm=predicate:random_seed=4133829462: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)
% 3.71/1.19 % (2490459)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1693560016:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.71/1.19 % (2490460)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1665620027:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.71/1.19 % (2490457)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=1799750122:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.71/1.19 % (2490458)Refutation not found, incomplete strategy
% 3.71/1.19 % (2490458)------------------------------
% 3.71/1.19 % (2490458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.19 % (2490458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.19 % (2490458)CaDiCaL version: 2.1.3
% 3.71/1.19 % (2490458)Termination reason: Refutation not found, incomplete strategy
% 3.71/1.19 % (2490458)Time elapsed: 0.004 s
% 3.71/1.19 % (2490458)Peak memory usage: 88 MB
% 3.71/1.19 % (2490458)Instructions burned: 5 (million)
% 3.71/1.19 % (2490459)Instruction limit reached!
% 3.71/1.19 % (2490459)------------------------------
% 3.71/1.19 % (2490459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.19 % (2490459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.19 % (2490459)CaDiCaL version: 2.1.3
% 3.71/1.19 % (2490459)Termination reason: Instruction limit
% 3.71/1.19 % (2490459)Termination phase: Saturation
% 3.71/1.19 % (2490459)Time elapsed: 0.069 s
% 3.71/1.19 % (2490459)Peak memory usage: 88 MB
% 3.71/1.19 % (2490459)Instructions burned: 119 (million)
% 3.71/1.19 % (2490461)Instruction limit reached!
% 3.71/1.19 % (2490461)------------------------------
% 3.71/1.19 % (2490461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.19 % (2490461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.19 % (2490461)CaDiCaL version: 2.1.3
% 3.71/1.19 % (2490461)Termination reason: Instruction limit
% 3.71/1.19 % (2490461)Termination phase: Saturation
% 3.71/1.19 % (2490461)Time elapsed: 0.075 s
% 3.71/1.19 % (2490461)Peak memory usage: 90 MB
% 3.71/1.19 % (2490461)Instructions burned: 131 (million)
% 3.71/1.19 % (2490460)First to succeed.
% 3.71/1.19 % (2490460)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2490450"
% 3.71/1.19 % (2490469)lrs+10_1_sil=8000:sp=occurrence:random_seed=3107906518:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.71/1.19 % (2490470)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4100309377:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.71/1.19 % (2490458)------------------------------
% 3.71/1.19 % (2490458)------------------------------
% 3.71/1.19 % (2490470)Instruction limit reached!
% 3.71/1.19 % (2490470)------------------------------
% 3.71/1.19 % (2490470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.19 % (2490470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.19 % (2490470)CaDiCaL version: 2.1.3
% 3.71/1.19 % (2490470)Termination reason: Instruction limit
% 3.71/1.19 % (2490470)Termination phase: Saturation
% 3.71/1.19 % (2490470)Time elapsed: 0.074 s
% 3.71/1.19 % (2490470)Peak memory usage: 91 MB
% 3.71/1.19 % (2490470)Instructions burned: 158 (million)
% 3.71/1.19 % (2490460)Refutation found. Thanks to Tanya!
% 3.71/1.19 % SZS status Theorem for theBenchmark
% 3.71/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.32/1.39 % (2490460)------------------------------
% 4.32/1.39 % (2490460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.39 % (2490460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.39 % (2490460)CaDiCaL version: 2.1.3
% 4.32/1.39 % (2490460)Termination reason: Refutation
% 4.32/1.39 % (2490460)Time elapsed: 0.089 s
% 4.32/1.39 % (2490460)Peak memory usage: 91 MB
% 4.32/1.39 % (2490460)Instructions burned: 129 (million)
% 4.32/1.39 % (2490460)------------------------------
% 4.32/1.39 % (2490460)------------------------------
% 4.32/1.39 % (2490450)Success in time 0.528 s
% 4.32/1.39 % Vampire exiting
%------------------------------------------------------------------------------