%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC031+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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:07 PM UTC 2026
% Result : Theorem 6.55s 1.97s
% Output : Refutation 8.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 161 ( 17 unt; 11 def)
% Number of atoms : 540 ( 110 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 638 ( 259 ~; 279 |; 53 &)
% ( 17 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn 94 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
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(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
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(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ frontsegP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( nil != X0
| nil = X1 ) ) ) ) ) ) ),
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
| ~ frontsegP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( nil != X0
| nil = X1 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
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(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f180,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( nil = X0
& nil != X1 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( nil = X0
& nil != X1 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ? [X3] :
( ssList(X3)
& app(X1,X3) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ( ssList(sK11(X0,X1))
& app(X1,sK11(X0,X1)) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f241]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f283,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f158]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& frontsegP(sK56,sK55)
& totalorderedP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK55,X4)
| ~ frontsegP(sK56,X4)
| ~ segmentP(X4,sK55)
| ~ totalorderedP(X4) )
& ( ( nil = sK54
& nil != sK53 )
| ( nil = sK53
& nil != sK54 ) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f311,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X2)
| app(X1,X2) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f242]) ).
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(f390,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f397,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f399,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f403,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f429,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f283]) ).
fof(f442,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f451,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f474,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( nil != sK53
| nil != sK54 ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( nil = sK54
| nil = sK53 ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
! [X4] :
( ~ segmentP(X4,sK55)
| ~ neq(sK55,X4)
| ~ frontsegP(sK56,X4)
| ~ ssList(X4)
| ~ totalorderedP(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
frontsegP(sK56,sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
( nil = sK56
| nil = sK55 ),
inference(definition_unfolding,[],[f503,f508,f507]) ).
fof(f512,plain,
( nil != sK55
| nil != sK56 ),
inference(definition_unfolding,[],[f500,f507,f508]) ).
fof(f513,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f508]) ).
fof(f514,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f507]) ).
fof(f518,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f311]) ).
fof(f550,definition,
( spl57_1
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f551,plain,
( nil = sK56
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f552,plain,
( nil != sK56
| spl57_1 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f554,definition,
( spl57_2
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f555,plain,
( nil = sK55
| ~ spl57_2 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( nil != sK55
| spl57_2 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f512,f554,f550]) ).
fof(f558,plain,
( spl57_2
| spl57_1 ),
inference(avatar_split_clause,[],[f509,f550,f554]) ).
fof(f560,definition,
( spl57_3
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f561,plain,
( ssList(nil)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f569,definition,
( spl57_5
<=> ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).
fof(f570,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl57_5 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,plain,
spl57_5,
inference(avatar_split_clause,[],[f451,f569]) ).
fof(f588,plain,
spl57_3,
inference(avatar_split_clause,[],[f389,f560]) ).
fof(f590,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f518,f401]) ).
fof(f654,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f513]) ).
fof(f661,definition,
( spl57_9
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_9])],[avatar_definition]) ).
fof(f662,plain,
( ssItem(hd(sK56))
| ~ spl57_9 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f663,plain,
( ~ ssItem(hd(sK56))
| spl57_9 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f665,definition,
( spl57_10
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_10])],[avatar_definition]) ).
fof(f666,plain,
( ssList(tl(sK56))
| ~ spl57_10 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f667,plain,
( ~ ssList(tl(sK56))
| spl57_10 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f676,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_9 ),
inference(resolution,[],[f663,f397]) ).
fof(f677,plain,
( ~ ssList(sK56)
| spl57_1
| spl57_9 ),
inference(forward_subsumption_resolution,[],[f676,f552]) ).
fof(f678,plain,
( $false
| spl57_1
| spl57_9 ),
inference(forward_subsumption_resolution,[],[f677,f513]) ).
fof(f679,plain,
( spl57_1
| spl57_9 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f683,plain,
( frontsegP(nil,sK55)
| ~ spl57_1 ),
inference(superposition,[],[f506,f551]) ).
fof(f689,plain,
( nil = sK55
| ~ ssList(sK55)
| ~ spl57_1 ),
inference(resolution,[],[f683,f429]) ).
fof(f691,plain,
( ~ ssList(sK55)
| ~ spl57_1
| spl57_2 ),
inference(forward_subsumption_resolution,[],[f689,f556]) ).
fof(f692,plain,
( $false
| ~ spl57_1
| spl57_2 ),
inference(forward_subsumption_resolution,[],[f691,f514]) ).
fof(f693,plain,
( ~ spl57_1
| spl57_2 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f696,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| spl57_1 ),
inference(forward_subsumption_resolution,[],[f654,f552]) ).
fof(f700,plain,
( ! [X0] :
( ~ segmentP(X0,nil)
| ~ neq(nil,X0)
| ~ frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ totalorderedP(X0) )
| ~ spl57_2 ),
inference(superposition,[],[f504,f555]) ).
fof(f704,plain,
( ! [X0] :
( ~ frontsegP(sK56,X0)
| ~ neq(nil,X0)
| ~ ssList(X0)
| ~ totalorderedP(X0) )
| ~ spl57_2 ),
inference(forward_subsumption_resolution,[],[f700,f442]) ).
fof(f762,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_10 ),
inference(resolution,[],[f399,f667]) ).
fof(f766,plain,
( ~ ssList(sK56)
| spl57_1
| spl57_10 ),
inference(forward_subsumption_resolution,[],[f762,f552]) ).
fof(f767,plain,
( $false
| spl57_1
| spl57_10 ),
inference(forward_subsumption_resolution,[],[f766,f513]) ).
fof(f768,plain,
( spl57_1
| spl57_10 ),
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f771,plain,
( tl(sK56) = app(nil,tl(sK56))
| ~ spl57_10 ),
inference(resolution,[],[f666,f403]) ).
fof(f781,plain,
( sK56 != tl(sK56)
| ~ ssItem(hd(sK56))
| ~ ssList(tl(sK56))
| spl57_1 ),
inference(superposition,[],[f390,f696]) ).
fof(f782,plain,
( sK56 != tl(sK56)
| ~ ssList(tl(sK56))
| spl57_1
| ~ spl57_9 ),
inference(forward_subsumption_resolution,[],[f781,f662]) ).
fof(f783,plain,
( sK56 != tl(sK56)
| spl57_1
| ~ spl57_9
| ~ spl57_10 ),
inference(forward_subsumption_resolution,[],[f782,f666]) ).
fof(f788,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| ~ spl57_10 ),
inference(resolution,[],[f477,f666]) ).
fof(f796,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_9
| ~ spl57_10 ),
inference(resolution,[],[f788,f662]) ).
fof(f797,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| spl57_1
| ~ spl57_9
| ~ spl57_10 ),
inference(forward_demodulation,[],[f796,f696]) ).
fof(f798,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(cons(hd(sK56),nil))
| spl57_1
| ~ spl57_9
| ~ spl57_10 ),
inference(superposition,[],[f590,f797]) ).
fof(f802,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| spl57_1
| ~ spl57_9
| ~ spl57_10 ),
inference(forward_subsumption_resolution,[],[f798,f666]) ).
fof(f804,definition,
( spl57_19
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_19])],[avatar_definition]) ).
fof(f805,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_19 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f806,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_19 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f812,definition,
( spl57_21
<=> frontsegP(sK56,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_21])],[avatar_definition]) ).
fof(f814,plain,
( frontsegP(sK56,cons(hd(sK56),nil))
| ~ spl57_21 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f815,plain,
( ~ spl57_19
| spl57_21
| spl57_1
| ~ spl57_9
| ~ spl57_10 ),
inference(avatar_split_clause,[],[f802,f665,f661,f550,f812,f804]) ).
fof(f816,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_19 ),
inference(resolution,[],[f806,f388]) ).
fof(f817,plain,
( ~ ssList(nil)
| ~ spl57_9
| spl57_19 ),
inference(forward_subsumption_resolution,[],[f816,f662]) ).
fof(f818,plain,
( $false
| ~ spl57_3
| ~ spl57_9
| spl57_19 ),
inference(forward_subsumption_resolution,[],[f817,f561]) ).
fof(f819,plain,
( ~ spl57_3
| ~ spl57_9
| spl57_19 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f820,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ totalorderedP(cons(hd(sK56),nil))
| ~ spl57_2
| ~ spl57_21 ),
inference(resolution,[],[f814,f704]) ).
fof(f823,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ totalorderedP(cons(hd(sK56),nil))
| ~ spl57_2
| ~ spl57_19
| ~ spl57_21 ),
inference(forward_subsumption_resolution,[],[f820,f805]) ).
fof(f826,definition,
( spl57_22
<=> totalorderedP(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_22])],[avatar_definition]) ).
fof(f828,plain,
( ~ totalorderedP(cons(hd(sK56),nil))
| spl57_22 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl57_23
<=> neq(nil,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_23])],[avatar_definition]) ).
fof(f832,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| spl57_23 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f833,plain,
( ~ spl57_22
| ~ spl57_23
| ~ spl57_2
| ~ spl57_19
| ~ spl57_21 ),
inference(avatar_split_clause,[],[f823,f812,f804,f554,f830,f826]) ).
fof(f843,definition,
( spl57_25
<=> nil = cons(hd(sK56),nil) ),
introduced(definition,[new_symbols(definition,[spl57_25])],[avatar_definition]) ).
fof(f845,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_25 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f847,plain,
( ~ ssItem(hd(sK56))
| ~ spl57_5
| spl57_22 ),
inference(resolution,[],[f828,f570]) ).
fof(f848,plain,
( $false
| ~ spl57_5
| ~ spl57_9
| spl57_22 ),
inference(forward_subsumption_resolution,[],[f847,f662]) ).
fof(f849,plain,
( ~ spl57_5
| ~ spl57_9
| spl57_22 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f859,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_23 ),
inference(resolution,[],[f832,f387]) ).
fof(f860,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(nil)
| ~ spl57_19
| spl57_23 ),
inference(forward_subsumption_resolution,[],[f859,f805]) ).
fof(f861,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_3
| ~ spl57_19
| spl57_23 ),
inference(forward_subsumption_resolution,[],[f860,f561]) ).
fof(f862,plain,
( spl57_25
| ~ spl57_3
| ~ spl57_19
| spl57_23 ),
inference(avatar_split_clause,[],[f861,f830,f804,f560,f843]) ).
fof(f867,plain,
( sK56 = app(nil,tl(sK56))
| spl57_1
| ~ spl57_9
| ~ spl57_10
| ~ spl57_25 ),
inference(superposition,[],[f797,f845]) ).
fof(f877,plain,
( sK56 = tl(sK56)
| spl57_1
| ~ spl57_9
| ~ spl57_10
| ~ spl57_25 ),
inference(forward_demodulation,[],[f867,f771]) ).
fof(f882,plain,
( $false
| spl57_1
| ~ spl57_9
| ~ spl57_10
| ~ spl57_25 ),
inference(forward_subsumption_resolution,[],[f877,f783]) ).
fof(f883,plain,
( spl57_1
| ~ spl57_9
| ~ spl57_10
| ~ spl57_25 ),
inference(avatar_contradiction_clause,[],[f882]) ).
cnf(s1,plain,
( ~ spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f557]) ).
cnf(s2,plain,
( spl57_1
| spl57_2 ),
inference(sat_conversion,[],[f558]) ).
cnf(s6,plain,
spl57_5,
inference(sat_conversion,[],[f572]) ).
cnf(s10,plain,
spl57_3,
inference(sat_conversion,[],[f588]) ).
cnf(s13,plain,
( spl57_1
| spl57_9 ),
inference(sat_conversion,[],[f679]) ).
cnf(s14,plain,
( ~ spl57_1
| spl57_2 ),
inference(sat_conversion,[],[f693]) ).
cnf(s18,plain,
( spl57_1
| spl57_10 ),
inference(sat_conversion,[],[f768]) ).
cnf(s21,plain,
( spl57_1
| ~ spl57_9
| ~ spl57_10
| ~ spl57_19
| spl57_21 ),
inference(sat_conversion,[],[f815]) ).
cnf(s22,plain,
( ~ spl57_3
| ~ spl57_9
| spl57_19 ),
inference(sat_conversion,[],[f819]) ).
cnf(s23,plain,
( ~ spl57_2
| ~ spl57_19
| ~ spl57_21
| ~ spl57_22
| ~ spl57_23 ),
inference(sat_conversion,[],[f833]) ).
cnf(s25,plain,
( ~ spl57_5
| ~ spl57_9
| spl57_22 ),
inference(sat_conversion,[],[f849]) ).
cnf(s26,plain,
( ~ spl57_3
| ~ spl57_19
| spl57_23
| spl57_25 ),
inference(sat_conversion,[],[f862]) ).
cnf(s28,plain,
( spl57_1
| ~ spl57_9
| ~ spl57_10
| ~ spl57_25 ),
inference(sat_conversion,[],[f883]) ).
cnf(s32,plain,
spl57_1,
inference(rat,[],[s21,s23,s26,s22,s25,s28,s2,s13,s18,s10,s6]) ).
cnf(s33,plain,
spl57_2,
inference(rat,[],[s14,s32]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s33,s32]) ).
fof(f884,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC031+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:31:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 6.55/1.97 % (181667)Detected formulas, will run a generic FOF schedule.
% 6.55/1.97 % (181676)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1911363701:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.55/1.97 % (181676)Instruction limit reached!
% 6.55/1.97 % (181676)------------------------------
% 6.55/1.97 % (181676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181676)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181676)Termination reason: Instruction limit
% 6.55/1.97 % (181676)Termination phase: Saturation
% 6.55/1.97 % (181676)Time elapsed: 0.039 s
% 6.55/1.97 % (181676)Peak memory usage: 89 MB
% 6.55/1.97 % (181676)Instructions burned: 122 (million)
% 6.55/1.97 % (181672)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=2380042764:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.55/1.97 % (181675)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3257928465:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.55/1.97 % (181673)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=2205389567:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.55/1.97 % (181678)dis-21_1_sil=8000:lcm=predicate:random_seed=3495441834: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)
% 6.55/1.97 % (181674)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=2192538354:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.55/1.97 % (181677)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2291276662:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.55/1.97 % (181675)Refutation not found, incomplete strategy
% 6.55/1.97 % (181675)------------------------------
% 6.55/1.97 % (181675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181675)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181675)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.97 % (181675)Time elapsed: 0.005 s
% 6.55/1.97 % (181675)Peak memory usage: 88 MB
% 6.55/1.97 % (181675)Instructions burned: 5 (million)
% 6.55/1.97 % (181678)Instruction limit reached!
% 6.55/1.97 % (181678)------------------------------
% 6.55/1.97 % (181678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181678)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181678)Termination reason: Instruction limit
% 6.55/1.97 % (181678)Termination phase: Saturation
% 6.55/1.97 % (181678)Time elapsed: 0.077 s
% 6.55/1.97 % (181678)Peak memory usage: 90 MB
% 6.55/1.97 % (181678)Instructions burned: 131 (million)
% 6.55/1.97 % (181677)Instruction limit reached!
% 6.55/1.97 % (181677)------------------------------
% 6.55/1.97 % (181677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181677)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181677)Termination reason: Instruction limit
% 6.55/1.97 % (181677)Termination phase: Saturation
% 6.55/1.97 % (181677)Time elapsed: 0.092 s
% 6.55/1.97 % (181677)Peak memory usage: 90 MB
% 6.55/1.97 % (181677)Instructions burned: 140 (million)
% 6.55/1.97 % (181680)lrs+10_1_sil=8000:sp=occurrence:random_seed=1297492390:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.55/1.97 % (181680)Instruction limit reached!
% 6.55/1.97 % (181680)------------------------------
% 6.55/1.97 % (181680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181680)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181680)Termination reason: Instruction limit
% 6.55/1.97 % (181680)Termination phase: Saturation
% 6.55/1.97 % (181680)Time elapsed: 0.090 s
% 6.55/1.97 % (181680)Peak memory usage: 93 MB
% 6.55/1.97 % (181680)Instructions burned: 288 (million)
% 6.55/1.97 % (181687)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4147561296:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.55/1.97 % (181675)------------------------------
% 6.55/1.97 % (181675)------------------------------
% 6.55/1.97 % (181688)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2770925479:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.55/1.97 % (181687)Instruction limit reached!
% 6.55/1.97 % (181687)------------------------------
% 6.55/1.97 % (181687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181687)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181687)Termination reason: Instruction limit
% 6.55/1.97 % (181687)Termination phase: Saturation
% 6.55/1.97 % (181687)Time elapsed: 0.080 s
% 6.55/1.97 % (181687)Peak memory usage: 92 MB
% 6.55/1.97 % (181687)Instructions burned: 159 (million)
% 6.55/1.97 % (181690)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=268993017:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.55/1.97 % (181690)Instruction limit reached!
% 6.55/1.97 % (181690)------------------------------
% 6.55/1.97 % (181690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181690)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181690)Termination reason: Instruction limit
% 6.55/1.97 % (181690)Termination phase: Saturation
% 6.55/1.97 % (181690)Time elapsed: 0.067 s
% 6.55/1.97 % (181690)Peak memory usage: 93 MB
% 6.55/1.97 % (181690)Instructions burned: 249 (million)
% 6.55/1.97 % (181693)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2956514046:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.55/1.97 % (181688)Instruction limit reached!
% 6.55/1.97 % (181688)------------------------------
% 6.55/1.97 % (181688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181688)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181688)Termination reason: Instruction limit
% 6.55/1.97 % (181688)Termination phase: Saturation
% 6.55/1.97 % (181688)Time elapsed: 0.202 s
% 6.55/1.97 % (181688)Peak memory usage: 91 MB
% 6.55/1.97 % (181688)Instructions burned: 325 (million)
% 6.55/1.97 % (181694)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=174491148:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.55/1.97 % (181696)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=141965820:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.55/1.97 % (181696)Instruction limit reached!
% 6.55/1.97 % (181696)------------------------------
% 6.55/1.97 % (181696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181696)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181696)Termination reason: Instruction limit
% 6.55/1.97 % (181696)Termination phase: Saturation
% 6.55/1.97 % (181696)Time elapsed: 0.042 s
% 6.55/1.97 % (181696)Peak memory usage: 90 MB
% 6.55/1.97 % (181696)Instructions burned: 115 (million)
% 6.55/1.97 % (181693)Instruction limit reached!
% 6.55/1.97 % (181693)------------------------------
% 6.55/1.97 % (181693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181693)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181693)Termination reason: Instruction limit
% 6.55/1.97 % (181693)Termination phase: Saturation
% 6.55/1.97 % (181693)Time elapsed: 0.141 s
% 6.55/1.97 % (181693)Peak memory usage: 89 MB
% 6.55/1.97 % (181693)Instructions burned: 296 (million)
% 6.55/1.97 % (181699)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4205530495:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.55/1.97 % (181701)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3022767214:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.55/1.97 % (181672)First to succeed.
% 6.55/1.97 % (181672)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-181667"
% 6.55/1.97 % (181699)Instruction limit reached!
% 6.55/1.97 % (181699)------------------------------
% 6.55/1.97 % (181699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181699)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181699)Termination reason: Instruction limit
% 6.55/1.97 % (181699)Termination phase: Saturation
% 6.55/1.97 % (181699)Time elapsed: 0.064 s
% 6.55/1.97 % (181699)Peak memory usage: 90 MB
% 6.55/1.97 % (181699)Instructions burned: 128 (million)
% 6.55/1.97 % (181673)Also succeeded, but the first one will report.
% 6.55/1.97 % (181701)Instruction limit reached!
% 6.55/1.97 % (181701)------------------------------
% 6.55/1.97 % (181701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.97 % (181701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.97 % (181701)CaDiCaL version: 2.1.3
% 6.55/1.97 % (181701)Termination reason: Instruction limit
% 6.55/1.97 % (181701)Termination phase: Saturation
% 6.55/1.97 % (181701)Time elapsed: 0.037 s
% 6.55/1.97 % (181701)Peak memory usage: 89 MB
% 6.55/1.97 % (181701)Instructions burned: 116 (million)
% 6.55/1.97 % (181702)lrs+10_1_sil=8000:sp=occurrence:random_seed=2239999319:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.55/1.97 % (181706)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2753744479:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.55/1.97 % (181705)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3814556466:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.55/1.97 % (181672)Refutation found. Thanks to Tanya!
% 6.55/1.97 % SZS status Theorem for theBenchmark
% 6.55/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 8.47/2.16 % (181672)------------------------------
% 8.47/2.16 % (181672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.16 % (181672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.16 % (181672)CaDiCaL version: 2.1.3
% 8.47/2.16 % (181672)Termination reason: Refutation
% 8.47/2.16 % (181672)Time elapsed: 0.685 s
% 8.47/2.16 % (181672)Peak memory usage: 131 MB
% 8.47/2.16 % (181672)Instructions burned: 1026 (million)
% 8.47/2.16 % (181672)------------------------------
% 8.47/2.16 % (181672)------------------------------
% 8.47/2.16 % (181667)Success in time 1.118 s
% 8.47/2.16 % Vampire exiting
%------------------------------------------------------------------------------