%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC066+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 : n008.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 01:02:16 PM UTC 2026
% Result : Theorem 6.48s 1.99s
% Output : Refutation 8.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 30
% Syntax : Number of formulae : 213 ( 31 unt; 14 def)
% Number of atoms : 746 ( 94 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 937 ( 404 ~; 415 |; 71 &)
% ( 20 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 105 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(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(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
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(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
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
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X1,X5)
& segmentP(X0,X5) ) ) ) ) ) ) ) ),
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
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& segmentP(X3,X4)
& segmentP(X4,X2)
& totalorderedP(X4) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X1,X5)
& segmentP(X0,X5) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(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(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f172,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
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
& segmentP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X5] :
( ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(X1,X5)
| ~ segmentP(X0,X5) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& totalorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ segmentP(X3,X4)
| ~ segmentP(X4,X2)
| ~ totalorderedP(X4) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X5] :
( ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(X1,X5)
| ~ segmentP(X0,X5) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f237,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ( ssItem(sK10(X0))
& cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK13(X0,X1))
& ssList(sK14(X0,X1))
& app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& segmentP(sK56,sK55)
& totalorderedP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK55,X4)
| ~ segmentP(sK56,X4)
| ~ segmentP(X4,sK55)
| ~ totalorderedP(X4) )
& ( ( nil = sK54
& nil != sK53 )
| ( neq(sK54,nil)
& ! [X5] :
( ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(sK54,X5)
| ~ segmentP(sK53,X5) ) ) )
& 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(f308,plain,
! [X0,X1] :
( singletonP(X0)
| ~ ssItem(X1)
| cons(X1,nil) != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(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(f403,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f420,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f440,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
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(f452,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
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,
! [X5] :
( nil != sK53
| ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(sK54,X5)
| ~ segmentP(sK53,X5) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( nil != sK53
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
! [X5] :
( nil = sK54
| ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(sK54,X5)
| ~ segmentP(sK53,X5) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
! [X4] :
( ~ segmentP(sK56,X4)
| ~ neq(sK55,X4)
| ~ ssList(X4)
| ~ segmentP(X4,sK55)
| ~ totalorderedP(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
segmentP(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(f510,plain,
! [X5] :
( nil = sK56
| ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(sK56,X5)
| ~ segmentP(sK55,X5) ),
inference(definition_unfolding,[],[f502,f508,f508,f507]) ).
fof(f511,plain,
( nil != sK55
| neq(sK56,nil) ),
inference(definition_unfolding,[],[f501,f507,f508]) ).
fof(f512,plain,
! [X5] :
( nil != sK55
| ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(sK56,X5)
| ~ segmentP(sK55,X5) ),
inference(definition_unfolding,[],[f500,f507,f508,f507]) ).
fof(f513,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f508]) ).
fof(f514,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f507]) ).
fof(f517,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f308]) ).
fof(f520,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f318]) ).
fof(f550,definition,
( spl57_1
<=> ! [X5] :
( ~ ssList(X5)
| ~ segmentP(sK55,X5)
| ~ segmentP(sK56,X5)
| ~ neq(X5,nil) ) ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f551,plain,
( ! [X5] :
( ~ segmentP(sK56,X5)
| ~ segmentP(sK55,X5)
| ~ ssList(X5)
| ~ neq(X5,nil) )
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f553,definition,
( spl57_2
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f554,plain,
( nil = sK55
| ~ spl57_2 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f555,plain,
( nil != sK55
| spl57_2 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f556,plain,
( spl57_1
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f512,f553,f550]) ).
fof(f558,definition,
( spl57_3
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f560,plain,
( neq(sK56,nil)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f561,plain,
( spl57_3
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f511,f553,f558]) ).
fof(f563,definition,
( spl57_4
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).
fof(f564,plain,
( nil != sK56
| spl57_4 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( nil = sK56
| ~ spl57_4 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,plain,
( spl57_1
| spl57_4 ),
inference(avatar_split_clause,[],[f510,f563,f550]) ).
fof(f569,definition,
( spl57_5
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).
fof(f570,plain,
( ssList(nil)
| ~ spl57_5 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f578,definition,
( spl57_7
<=> ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl57_7])],[avatar_definition]) ).
fof(f579,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl57_7 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,plain,
spl57_7,
inference(avatar_split_clause,[],[f451,f578]) ).
fof(f597,plain,
spl57_5,
inference(avatar_split_clause,[],[f389,f569]) ).
fof(f603,plain,
( ~ ssList(sK56)
| ~ neq(sK55,sK56)
| ~ ssList(sK56)
| ~ segmentP(sK56,sK55)
| ~ totalorderedP(sK56) ),
inference(resolution,[],[f440,f504]) ).
fof(f604,plain,
( ~ ssList(sK56)
| ~ neq(sK55,sK56)
| ~ segmentP(sK56,sK55)
| ~ totalorderedP(sK56) ),
inference(duplicate_literal_removal,[],[f603]) ).
fof(f605,plain,
( ~ neq(sK55,sK56)
| ~ segmentP(sK56,sK55)
| ~ totalorderedP(sK56) ),
inference(forward_subsumption_resolution,[],[f604,f513]) ).
fof(f606,plain,
( ~ neq(sK55,sK56)
| ~ totalorderedP(sK56) ),
inference(forward_subsumption_resolution,[],[f605,f506]) ).
fof(f607,plain,
( ~ neq(sK55,nil)
| ~ totalorderedP(sK56)
| ~ spl57_4 ),
inference(forward_demodulation,[],[f606,f565]) ).
fof(f608,plain,
( ~ totalorderedP(nil)
| ~ neq(sK55,nil)
| ~ spl57_4 ),
inference(forward_demodulation,[],[f607,f565]) ).
fof(f609,plain,
( ~ neq(sK55,nil)
| ~ spl57_4 ),
inference(forward_subsumption_resolution,[],[f608,f452]) ).
fof(f610,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| ~ spl57_4 ),
inference(resolution,[],[f609,f387]) ).
fof(f611,plain,
( ~ ssList(nil)
| ~ ssList(sK55)
| spl57_2
| ~ spl57_4 ),
inference(forward_subsumption_resolution,[],[f610,f555]) ).
fof(f612,plain,
( ~ ssList(sK55)
| spl57_2
| ~ spl57_4
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f611,f570]) ).
fof(f613,plain,
( $false
| spl57_2
| ~ spl57_4
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f612,f514]) ).
fof(f614,plain,
( spl57_2
| ~ spl57_4
| ~ spl57_5 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f616,plain,
( neq(nil,nil)
| ~ spl57_3
| ~ spl57_4 ),
inference(forward_demodulation,[],[f560,f565]) ).
fof(f622,plain,
( ~ neq(nil,nil)
| ~ spl57_2
| ~ spl57_4 ),
inference(superposition,[],[f609,f554]) ).
fof(f628,plain,
( $false
| ~ spl57_2
| ~ spl57_3
| ~ spl57_4 ),
inference(forward_subsumption_resolution,[],[f622,f616]) ).
fof(f629,plain,
( ~ spl57_2
| ~ spl57_3
| ~ spl57_4 ),
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f680,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f513]) ).
fof(f681,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| spl57_4 ),
inference(forward_subsumption_resolution,[],[f680,f564]) ).
fof(f695,definition,
( spl57_13
<=> ssItem(hd(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_13])],[avatar_definition]) ).
fof(f696,plain,
( ssItem(hd(sK56))
| ~ spl57_13 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f697,plain,
( ~ ssItem(hd(sK56))
| spl57_13 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f699,definition,
( spl57_14
<=> ssList(tl(sK56)) ),
introduced(definition,[new_symbols(definition,[spl57_14])],[avatar_definition]) ).
fof(f700,plain,
( ssList(tl(sK56))
| ~ spl57_14 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f701,plain,
( ~ ssList(tl(sK56))
| spl57_14 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f710,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_13 ),
inference(resolution,[],[f697,f397]) ).
fof(f711,plain,
( ~ ssList(sK56)
| spl57_4
| spl57_13 ),
inference(forward_subsumption_resolution,[],[f710,f564]) ).
fof(f712,plain,
( $false
| spl57_4
| spl57_13 ),
inference(forward_subsumption_resolution,[],[f711,f513]) ).
fof(f713,plain,
( spl57_4
| spl57_13 ),
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f714,plain,
( nil = sK56
| ~ ssList(sK56)
| spl57_14 ),
inference(resolution,[],[f399,f701]) ).
fof(f718,plain,
( ~ ssList(sK56)
| spl57_4
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f714,f564]) ).
fof(f719,plain,
( $false
| spl57_4
| spl57_14 ),
inference(forward_subsumption_resolution,[],[f718,f513]) ).
fof(f720,plain,
( spl57_4
| spl57_14 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f745,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
| ~ spl57_14 ),
inference(resolution,[],[f477,f700]) ).
fof(f880,plain,
( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
| ~ spl57_13
| ~ spl57_14 ),
inference(resolution,[],[f745,f696]) ).
fof(f881,plain,
( sK56 = app(cons(hd(sK56),nil),tl(sK56))
| spl57_4
| ~ spl57_13
| ~ spl57_14 ),
inference(forward_demodulation,[],[f880,f681]) ).
fof(f886,definition,
( spl57_26
<=> ssList(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_26])],[avatar_definition]) ).
fof(f887,plain,
( ssList(cons(hd(sK56),nil))
| ~ spl57_26 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f888,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_26 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f893,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| spl57_26 ),
inference(resolution,[],[f888,f388]) ).
fof(f894,plain,
( ~ ssList(nil)
| ~ spl57_13
| spl57_26 ),
inference(forward_subsumption_resolution,[],[f893,f696]) ).
fof(f895,plain,
( $false
| ~ spl57_5
| ~ spl57_13
| spl57_26 ),
inference(forward_subsumption_resolution,[],[f894,f570]) ).
fof(f896,plain,
( ~ spl57_5
| ~ spl57_13
| spl57_26 ),
inference(avatar_contradiction_clause,[],[f895]) ).
fof(f901,plain,
( cons(hd(sK56),nil) = app(nil,cons(hd(sK56),nil))
| ~ spl57_26 ),
inference(resolution,[],[f887,f403]) ).
fof(f907,definition,
( spl57_29
<=> nil = cons(hd(sK56),nil) ),
introduced(definition,[new_symbols(definition,[spl57_29])],[avatar_definition]) ).
fof(f908,plain,
( nil != cons(hd(sK56),nil)
| spl57_29 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f909,plain,
( nil = cons(hd(sK56),nil)
| ~ spl57_29 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f913,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK56))
| singletonP(nil)
| ~ spl57_29 ),
inference(superposition,[],[f517,f909]) ).
fof(f923,plain,
( ~ ssItem(hd(sK56))
| singletonP(nil)
| ~ spl57_5
| ~ spl57_29 ),
inference(forward_subsumption_resolution,[],[f913,f570]) ).
fof(f929,plain,
( singletonP(nil)
| ~ spl57_5
| ~ spl57_13
| ~ spl57_29 ),
inference(forward_subsumption_resolution,[],[f923,f696]) ).
fof(f932,plain,
( $false
| ~ spl57_5
| ~ spl57_13
| ~ spl57_29 ),
inference(forward_subsumption_resolution,[],[f929,f420]) ).
fof(f933,plain,
( ~ spl57_5
| ~ spl57_13
| ~ spl57_29 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f935,plain,
( ! [X0] :
( segmentP(app(cons(hd(sK56),nil),X0),cons(hd(sK56),nil))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(app(cons(hd(sK56),nil),X0)) )
| ~ spl57_26 ),
inference(superposition,[],[f520,f901]) ).
fof(f938,plain,
( ! [X0] :
( segmentP(app(cons(hd(sK56),nil),X0),cons(hd(sK56),nil))
| ~ ssList(X0)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(app(cons(hd(sK56),nil),X0)) )
| ~ spl57_5
| ~ spl57_26 ),
inference(forward_subsumption_resolution,[],[f935,f570]) ).
fof(f940,plain,
( ! [X0] :
( segmentP(app(cons(hd(sK56),nil),X0),cons(hd(sK56),nil))
| ~ ssList(X0)
| ~ ssList(app(cons(hd(sK56),nil),X0)) )
| ~ spl57_5
| ~ spl57_26 ),
inference(forward_subsumption_resolution,[],[f938,f887]) ).
fof(f944,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(sK56)
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26 ),
inference(superposition,[],[f940,f881]) ).
fof(f947,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| ~ ssList(sK56)
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26 ),
inference(forward_subsumption_resolution,[],[f944,f700]) ).
fof(f950,plain,
( segmentP(sK56,cons(hd(sK56),nil))
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26 ),
inference(forward_subsumption_resolution,[],[f947,f513]) ).
fof(f952,plain,
( ~ neq(sK55,cons(hd(sK56),nil))
| ~ ssList(cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ totalorderedP(cons(hd(sK56),nil))
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26 ),
inference(resolution,[],[f950,f504]) ).
fof(f957,plain,
( ~ neq(sK55,cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ totalorderedP(cons(hd(sK56),nil))
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26 ),
inference(forward_subsumption_resolution,[],[f952,f887]) ).
fof(f961,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| ~ segmentP(cons(hd(sK56),nil),sK55)
| ~ totalorderedP(cons(hd(sK56),nil))
| ~ spl57_2
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26 ),
inference(forward_demodulation,[],[f957,f554]) ).
fof(f971,plain,
( ~ segmentP(cons(hd(sK56),nil),nil)
| ~ neq(nil,cons(hd(sK56),nil))
| ~ totalorderedP(cons(hd(sK56),nil))
| ~ spl57_2
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26 ),
inference(forward_demodulation,[],[f961,f554]) ).
fof(f973,definition,
( spl57_32
<=> totalorderedP(cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_32])],[avatar_definition]) ).
fof(f975,plain,
( ~ totalorderedP(cons(hd(sK56),nil))
| spl57_32 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f977,definition,
( spl57_33
<=> neq(nil,cons(hd(sK56),nil)) ),
introduced(definition,[new_symbols(definition,[spl57_33])],[avatar_definition]) ).
fof(f979,plain,
( ~ neq(nil,cons(hd(sK56),nil))
| spl57_33 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f981,definition,
( spl57_34
<=> segmentP(cons(hd(sK56),nil),nil) ),
introduced(definition,[new_symbols(definition,[spl57_34])],[avatar_definition]) ).
fof(f983,plain,
( ~ segmentP(cons(hd(sK56),nil),nil)
| spl57_34 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f984,plain,
( ~ spl57_32
| ~ spl57_33
| ~ spl57_34
| ~ spl57_2
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26 ),
inference(avatar_split_clause,[],[f971,f886,f699,f695,f569,f563,f553,f981,f977,f973]) ).
fof(f990,plain,
( ~ ssList(cons(hd(sK56),nil))
| spl57_34 ),
inference(resolution,[],[f983,f442]) ).
fof(f991,plain,
( $false
| ~ spl57_26
| spl57_34 ),
inference(forward_subsumption_resolution,[],[f990,f887]) ).
fof(f992,plain,
( ~ spl57_26
| spl57_34 ),
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f995,plain,
( ~ ssItem(hd(sK56))
| ~ spl57_7
| spl57_32 ),
inference(resolution,[],[f975,f579]) ).
fof(f996,plain,
( $false
| ~ spl57_7
| ~ spl57_13
| spl57_32 ),
inference(forward_subsumption_resolution,[],[f995,f696]) ).
fof(f997,plain,
( ~ spl57_7
| ~ spl57_13
| spl57_32 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f998,plain,
( nil = cons(hd(sK56),nil)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_33 ),
inference(resolution,[],[f979,f387]) ).
fof(f999,plain,
( ~ ssList(cons(hd(sK56),nil))
| ~ ssList(nil)
| spl57_29
| spl57_33 ),
inference(forward_subsumption_resolution,[],[f998,f908]) ).
fof(f1000,plain,
( ~ ssList(nil)
| ~ spl57_26
| spl57_29
| spl57_33 ),
inference(forward_subsumption_resolution,[],[f999,f887]) ).
fof(f1001,plain,
( $false
| ~ spl57_5
| ~ spl57_26
| spl57_29
| spl57_33 ),
inference(forward_subsumption_resolution,[],[f1000,f570]) ).
fof(f1002,plain,
( ~ spl57_5
| ~ spl57_26
| spl57_29
| spl57_33 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1009,definition,
( spl57_36
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl57_36])],[avatar_definition]) ).
fof(f1011,plain,
( ~ neq(sK55,nil)
| spl57_36 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1026,plain,
( ~ segmentP(sK55,sK55)
| ~ ssList(sK55)
| ~ neq(sK55,nil)
| ~ spl57_1 ),
inference(resolution,[],[f551,f506]) ).
fof(f1028,plain,
( ~ ssList(sK55)
| ~ neq(sK55,nil)
| ~ spl57_1 ),
inference(forward_subsumption_resolution,[],[f1026,f440]) ).
fof(f1031,plain,
( ~ neq(sK55,nil)
| ~ spl57_1 ),
inference(forward_subsumption_resolution,[],[f1028,f514]) ).
fof(f1034,plain,
( ~ spl57_36
| ~ spl57_1 ),
inference(avatar_split_clause,[],[f1031,f550,f1009]) ).
fof(f1176,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl57_36 ),
inference(resolution,[],[f1011,f387]) ).
fof(f1177,plain,
( ~ ssList(nil)
| ~ ssList(sK55)
| spl57_2
| spl57_36 ),
inference(forward_subsumption_resolution,[],[f1176,f555]) ).
fof(f1178,plain,
( ~ ssList(sK55)
| spl57_2
| ~ spl57_5
| spl57_36 ),
inference(forward_subsumption_resolution,[],[f1177,f570]) ).
fof(f1179,plain,
( $false
| spl57_2
| ~ spl57_5
| spl57_36 ),
inference(forward_subsumption_resolution,[],[f1178,f514]) ).
fof(f1180,plain,
( spl57_2
| ~ spl57_5
| spl57_36 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
cnf(s1,plain,
( spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f556]) ).
cnf(s2,plain,
( ~ spl57_2
| spl57_3 ),
inference(sat_conversion,[],[f561]) ).
cnf(s3,plain,
( spl57_1
| spl57_4 ),
inference(sat_conversion,[],[f566]) ).
cnf(s8,plain,
spl57_7,
inference(sat_conversion,[],[f581]) ).
cnf(s12,plain,
spl57_5,
inference(sat_conversion,[],[f597]) ).
cnf(s13,plain,
( spl57_2
| ~ spl57_4
| ~ spl57_5 ),
inference(sat_conversion,[],[f614]) ).
cnf(s14,plain,
( ~ spl57_2
| ~ spl57_3
| ~ spl57_4 ),
inference(sat_conversion,[],[f629]) ).
cnf(s18,plain,
( spl57_4
| spl57_13 ),
inference(sat_conversion,[],[f713]) ).
cnf(s19,plain,
( spl57_4
| spl57_14 ),
inference(sat_conversion,[],[f720]) ).
cnf(s29,plain,
( ~ spl57_5
| ~ spl57_13
| spl57_26 ),
inference(sat_conversion,[],[f896]) ).
cnf(s33,plain,
( ~ spl57_5
| ~ spl57_13
| ~ spl57_29 ),
inference(sat_conversion,[],[f933]) ).
cnf(s35,plain,
( ~ spl57_2
| spl57_4
| ~ spl57_5
| ~ spl57_13
| ~ spl57_14
| ~ spl57_26
| ~ spl57_32
| ~ spl57_33
| ~ spl57_34 ),
inference(sat_conversion,[],[f984]) ).
cnf(s37,plain,
( ~ spl57_26
| spl57_34 ),
inference(sat_conversion,[],[f992]) ).
cnf(s38,plain,
( ~ spl57_7
| ~ spl57_13
| spl57_32 ),
inference(sat_conversion,[],[f997]) ).
cnf(s39,plain,
( ~ spl57_5
| ~ spl57_26
| spl57_29
| spl57_33 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s42,plain,
( ~ spl57_1
| ~ spl57_36 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s55,plain,
( spl57_2
| ~ spl57_5
| spl57_36 ),
inference(sat_conversion,[],[f1180]) ).
cnf(s60,plain,
spl57_1,
inference(rat,[],[s13,s1,s3,s12]) ).
cnf(s61,plain,
~ spl57_36,
inference(rat,[],[s42,s60]) ).
cnf(s62,plain,
spl57_2,
inference(rat,[],[s55,s12,s61]) ).
cnf(s65,plain,
spl57_3,
inference(rat,[],[s2,s62]) ).
cnf(s67,plain,
~ spl57_4,
inference(rat,[],[s14,s62,s65]) ).
cnf(s69,plain,
spl57_14,
inference(rat,[],[s19,s67]) ).
cnf(s70,plain,
spl57_13,
inference(rat,[],[s18,s67]) ).
cnf(s72,plain,
spl57_32,
inference(rat,[],[s38,s8,s70]) ).
cnf(s73,plain,
~ spl57_29,
inference(rat,[],[s33,s12,s70]) ).
cnf(s74,plain,
spl57_26,
inference(rat,[],[s29,s12,s70]) ).
cnf(s78,plain,
spl57_33,
inference(rat,[],[s39,s73,s12,s74]) ).
cnf(s79,plain,
spl57_34,
inference(rat,[],[s37,s74]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s35,s79,s70,s72,s69,s67,s62,s12,s78,s74]) ).
fof(f1181,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC066+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n008.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 07:41:55 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 6.48/1.99 % (2083932)Detected formulas, will run a generic FOF schedule.
% 6.48/1.99 % (2083941)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4189177590:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.48/1.99 % (2083941)Instruction limit reached!
% 6.48/1.99 % (2083941)------------------------------
% 6.48/1.99 % (2083941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083941)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083941)Termination reason: Instruction limit
% 6.48/1.99 % (2083941)Termination phase: Saturation
% 6.48/1.99 % (2083941)Time elapsed: 0.039 s
% 6.48/1.99 % (2083941)Peak memory usage: 88 MB
% 6.48/1.99 % (2083941)Instructions burned: 120 (million)
% 6.48/1.99 % (2083937)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=979350863:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.48/1.99 % (2083938)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=37436244:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.48/1.99 % (2083940)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3571784421:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.48/1.99 % (2083939)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=567081405:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.48/1.99 % (2083942)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3438464054:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.48/1.99 % (2083940)Refutation not found, incomplete strategy
% 6.48/1.99 % (2083940)------------------------------
% 6.48/1.99 % (2083940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083940)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083940)Termination reason: Refutation not found, incomplete strategy
% 6.48/1.99 % (2083940)Time elapsed: 0.005 s
% 6.48/1.99 % (2083940)Peak memory usage: 88 MB
% 6.48/1.99 % (2083940)Instructions burned: 5 (million)
% 6.48/1.99 % (2083943)dis-21_1_sil=8000:lcm=predicate:random_seed=1379276071: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)
% 6.48/1.99 % (2083943)Instruction limit reached!
% 6.48/1.99 % (2083943)------------------------------
% 6.48/1.99 % (2083943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083943)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083943)Termination reason: Instruction limit
% 6.48/1.99 % (2083943)Termination phase: Saturation
% 6.48/1.99 % (2083943)Time elapsed: 0.077 s
% 6.48/1.99 % (2083943)Peak memory usage: 90 MB
% 6.48/1.99 % (2083943)Instructions burned: 130 (million)
% 6.48/1.99 % (2083950)lrs+10_1_sil=8000:sp=occurrence:random_seed=4285995017:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.48/1.99 % (2083942)Instruction limit reached!
% 6.48/1.99 % (2083942)------------------------------
% 6.48/1.99 % (2083942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083942)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083942)Termination reason: Instruction limit
% 6.48/1.99 % (2083942)Termination phase: Saturation
% 6.48/1.99 % (2083942)Time elapsed: 0.094 s
% 6.48/1.99 % (2083942)Peak memory usage: 90 MB
% 6.48/1.99 % (2083942)Instructions burned: 140 (million)
% 6.48/1.99 % (2083950)Instruction limit reached!
% 6.48/1.99 % (2083950)------------------------------
% 6.48/1.99 % (2083950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083950)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083950)Termination reason: Instruction limit
% 6.48/1.99 % (2083950)Termination phase: Saturation
% 6.48/1.99 % (2083950)Time elapsed: 0.090 s
% 6.48/1.99 % (2083950)Peak memory usage: 93 MB
% 6.48/1.99 % (2083950)Instructions burned: 286 (million)
% 6.48/1.99 % (2083953)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2082263337:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.48/1.99 % (2083954)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3048094251:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.48/1.99 % (2083940)------------------------------
% 6.48/1.99 % (2083940)------------------------------
% 6.48/1.99 % (2083955)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=3299204673:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.48/1.99 % (2083953)Instruction limit reached!
% 6.48/1.99 % (2083953)------------------------------
% 6.48/1.99 % (2083953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083953)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083953)Termination reason: Instruction limit
% 6.48/1.99 % (2083953)Termination phase: Saturation
% 6.48/1.99 % (2083953)Time elapsed: 0.078 s
% 6.48/1.99 % (2083953)Peak memory usage: 91 MB
% 6.48/1.99 % (2083953)Instructions burned: 158 (million)
% 6.48/1.99 % (2083955)Instruction limit reached!
% 6.48/1.99 % (2083955)------------------------------
% 6.48/1.99 % (2083955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083955)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083955)Termination reason: Instruction limit
% 6.48/1.99 % (2083955)Termination phase: Saturation
% 6.48/1.99 % (2083955)Time elapsed: 0.069 s
% 6.48/1.99 % (2083955)Peak memory usage: 93 MB
% 6.48/1.99 % (2083955)Instructions burned: 250 (million)
% 6.48/1.99 % (2083954)Instruction limit reached!
% 6.48/1.99 % (2083954)------------------------------
% 6.48/1.99 % (2083954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083954)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083954)Termination reason: Instruction limit
% 6.48/1.99 % (2083954)Termination phase: Saturation
% 6.48/1.99 % (2083954)Time elapsed: 0.133 s
% 6.48/1.99 % (2083954)Peak memory usage: 89 MB
% 6.48/1.99 % (2083954)Instructions burned: 327 (million)
% 6.48/1.99 % (2083958)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3608475324:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.48/1.99 % (2083960)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4085367109:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.48/1.99 % (2083961)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2912011119:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.48/1.99 % (2083961)Instruction limit reached!
% 6.48/1.99 % (2083961)------------------------------
% 6.48/1.99 % (2083961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083961)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083961)Termination reason: Instruction limit
% 6.48/1.99 % (2083961)Termination phase: Saturation
% 6.48/1.99 % (2083961)Time elapsed: 0.043 s
% 6.48/1.99 % (2083961)Peak memory usage: 90 MB
% 6.48/1.99 % (2083961)Instructions burned: 114 (million)
% 6.48/1.99 % (2083962)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1634341509:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.48/1.99 % (2083958)Instruction limit reached!
% 6.48/1.99 % (2083958)------------------------------
% 6.48/1.99 % (2083958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083958)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083958)Termination reason: Instruction limit
% 6.48/1.99 % (2083958)Termination phase: Saturation
% 6.48/1.99 % (2083958)Time elapsed: 0.140 s
% 6.48/1.99 % (2083958)Peak memory usage: 89 MB
% 6.48/1.99 % (2083958)Instructions burned: 295 (million)
% 6.48/1.99 % (2083966)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1381200044:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.48/1.99 % (2083962)Instruction limit reached!
% 6.48/1.99 % (2083962)------------------------------
% 6.48/1.99 % (2083962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083962)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083962)Termination reason: Instruction limit
% 6.48/1.99 % (2083962)Termination phase: Saturation
% 6.48/1.99 % (2083962)Time elapsed: 0.064 s
% 6.48/1.99 % (2083962)Peak memory usage: 89 MB
% 6.48/1.99 % (2083962)Instructions burned: 128 (million)
% 6.48/1.99 % (2083966)Instruction limit reached!
% 6.48/1.99 % (2083966)------------------------------
% 6.48/1.99 % (2083966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083966)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083966)Termination reason: Instruction limit
% 6.48/1.99 % (2083966)Termination phase: Saturation
% 6.48/1.99 % (2083966)Time elapsed: 0.039 s
% 6.48/1.99 % (2083966)Peak memory usage: 89 MB
% 6.48/1.99 % (2083966)Instructions burned: 116 (million)
% 6.48/1.99 % (2083968)lrs+10_1_sil=8000:sp=occurrence:random_seed=2695303505:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.48/1.99 % (2083971)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4056304168:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.48/1.99 % (2083970)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1901984934:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.48/1.99 % (2083937)First to succeed.
% 6.48/1.99 % (2083937)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2083932"
% 6.48/1.99 % (2083938)Also succeeded, but the first one will report.
% 6.48/1.99 % (2083970)Instruction limit reached!
% 6.48/1.99 % (2083970)------------------------------
% 6.48/1.99 % (2083970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.99 % (2083970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.99 % (2083970)CaDiCaL version: 2.1.3
% 6.48/1.99 % (2083970)Termination reason: Instruction limit
% 6.48/1.99 % (2083970)Termination phase: Saturation
% 6.48/1.99 % (2083970)Time elapsed: 0.164 s
% 6.48/1.99 % (2083970)Peak memory usage: 89 MB
% 6.48/1.99 % (2083970)Instructions burned: 438 (million)
% 6.48/1.99 % (2083937)Refutation found. Thanks to Tanya!
% 6.48/1.99 % SZS status Theorem for theBenchmark
% 6.48/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.58/2.18 % (2083937)------------------------------
% 8.58/2.18 % (2083937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.18 % (2083937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.18 % (2083937)CaDiCaL version: 2.1.3
% 8.58/2.18 % (2083937)Termination reason: Refutation
% 8.58/2.18 % (2083937)Time elapsed: 0.722 s
% 8.58/2.18 % (2083937)Peak memory usage: 131 MB
% 8.58/2.18 % (2083937)Instructions burned: 1083 (million)
% 8.58/2.18 % (2083937)------------------------------
% 8.58/2.18 % (2083937)------------------------------
% 8.58/2.18 % (2083932)Success in time 1.127 s
% 8.58/2.18 % Vampire exiting
%------------------------------------------------------------------------------