%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC087+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:22 PM UTC 2026
% Result : Theorem 4.14s 1.17s
% Output : Refutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 31
% Syntax : Number of formulae : 205 ( 36 unt; 18 def)
% Number of atoms : 778 ( 136 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 1023 ( 450 ~; 458 |; 69 &)
% ( 18 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 149 ( 0 sgn 123 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
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(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
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
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ? [X5] :
( ssList(X5)
& X2 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X3) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X3) = X8
& neq(nil,X3) )
& neq(nil,X3) ) ) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
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
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ? [X5] :
( ssList(X5)
& X2 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X3) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X3) = X8
& neq(nil,X3) )
& neq(nil,X3) ) ) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
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(f125,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
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(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(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ! [X5] :
( ~ ssList(X5)
| X2 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X3) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X3) != X8
| ~ neq(nil,X3) )
| ~ neq(nil,X3) ) ) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ! [X5] :
( ~ ssList(X5)
| X2 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X3) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X3) != X8
| ~ neq(nil,X3) )
| ~ neq(nil,X3) ) ) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
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
& ( ( neq(sK54,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) )
& ! [X5] :
( ~ ssList(X5)
| sK55 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(sK56) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK56) != X8
| ~ neq(nil,sK56) )
| ~ neq(nil,sK56) ) ) ) )
| ( neq(sK54,nil)
& ~ neq(sK56,nil) ) )
& 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(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(f386,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
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(f396,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
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(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(f482,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
! [X8,X6,X7,X5] :
( ~ ssList(X5)
| sK55 = X5
| ~ ssList(X6)
| ~ ssList(X7)
| tl(sK56) != X6
| app(X6,X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK56) != X8
| ~ neq(nil,sK56)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( neq(sK54,nil)
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
( neq(sK56,nil)
| neq(sK56,nil) ),
inference(definition_unfolding,[],[f505,f507,f507]) ).
fof(f511,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK56,X4)
| ~ segmentP(sK55,X4)
| ~ neq(sK56,nil) ),
inference(definition_unfolding,[],[f502,f507,f506]) ).
fof(f513,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f507]) ).
fof(f514,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f506]) ).
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(f529,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f386]) ).
fof(f546,plain,
! [X8,X7,X5] :
( ~ ssList(X5)
| sK55 = X5
| ~ ssList(tl(sK56))
| ~ ssList(X7)
| app(tl(sK56),X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK56) != X8
| ~ neq(nil,sK56)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(equality_resolution,[],[f500]) ).
fof(f547,plain,
! [X8,X7] :
( ~ ssList(app(tl(sK56),X7))
| sK55 = app(tl(sK56),X7)
| ~ ssList(tl(sK56))
| ~ ssList(X7)
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK56) != X8
| ~ neq(nil,sK56)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(equality_resolution,[],[f546]) ).
fof(f548,plain,
! [X8] :
( ~ ssList(app(tl(sK56),cons(X8,nil)))
| sK55 = app(tl(sK56),cons(X8,nil))
| ~ ssList(tl(sK56))
| ~ ssList(cons(X8,nil))
| ~ ssItem(X8)
| hd(sK56) != X8
| ~ neq(nil,sK56)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(equality_resolution,[],[f547]) ).
fof(f549,plain,
( ~ ssList(app(tl(sK56),cons(hd(sK56),nil)))
| sK55 = app(tl(sK56),cons(hd(sK56),nil))
| ~ ssList(tl(sK56))
| ~ ssList(cons(hd(sK56),nil))
| ~ ssItem(hd(sK56))
| ~ neq(nil,sK56)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(equality_resolution,[],[f548]) ).
fof(f550,definition,
sF57 = tl(sK56),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
fof(f551,plain,
tl(sK56) = sF57,
inference(reorient_equations,[],[f550]) ).
fof(f552,definition,
sF58 = hd(sK56),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f553,plain,
hd(sK56) = sF58,
inference(reorient_equations,[],[f552]) ).
fof(f554,definition,
sF59 = cons(sF58,nil),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
fof(f555,plain,
cons(sF58,nil) = sF59,
inference(reorient_equations,[],[f554]) ).
fof(f556,definition,
sF60 = app(sF57,sF59),
introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).
fof(f557,plain,
app(sF57,sF59) = sF60,
inference(reorient_equations,[],[f556]) ).
fof(f559,plain,
( ~ ssList(sF60)
| sK55 = sF60
| ~ ssList(sF57)
| ~ ssList(sF59)
| ~ ssItem(sF58)
| ~ neq(nil,sK56)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(definition_folding,[],[f549,f553,f555,f553,f551,f557,f555,f553,f551,f557,f555,f553,f551]) ).
fof(f560,plain,
( ~ ssList(sF60)
| sK55 = sF60
| ~ ssList(sF57)
| ~ ssList(sF59)
| ~ ssItem(sF58)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f562,plain,
neq(sK56,nil),
inference(duplicate_literal_removal,[],[f508]) ).
fof(f567,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f529]) ).
fof(f571,definition,
( spl61_1
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl61_1])],[avatar_definition]) ).
fof(f572,plain,
( neq(sK56,nil)
| ~ spl61_1 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f575,definition,
( spl61_2
<=> neq(nil,sK56) ),
introduced(definition,[new_symbols(definition,[spl61_2])],[avatar_definition]) ).
fof(f577,plain,
( ~ neq(nil,sK56)
| spl61_2 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f579,definition,
( spl61_3
<=> ssItem(sF58) ),
introduced(definition,[new_symbols(definition,[spl61_3])],[avatar_definition]) ).
fof(f580,plain,
( ssItem(sF58)
| ~ spl61_3 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( ~ ssItem(sF58)
| spl61_3 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f583,definition,
( spl61_4
<=> ssList(sF59) ),
introduced(definition,[new_symbols(definition,[spl61_4])],[avatar_definition]) ).
fof(f584,plain,
( ssList(sF59)
| ~ spl61_4 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f585,plain,
( ~ ssList(sF59)
| spl61_4 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f587,definition,
( spl61_5
<=> ssList(sF57) ),
introduced(definition,[new_symbols(definition,[spl61_5])],[avatar_definition]) ).
fof(f588,plain,
( ssList(sF57)
| ~ spl61_5 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f591,definition,
( spl61_6
<=> sK55 = sF60 ),
introduced(definition,[new_symbols(definition,[spl61_6])],[avatar_definition]) ).
fof(f593,plain,
( sK55 = sF60
| ~ spl61_6 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f595,definition,
( spl61_7
<=> ssList(sF60) ),
introduced(definition,[new_symbols(definition,[spl61_7])],[avatar_definition]) ).
fof(f598,plain,
( ~ spl61_1
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_6
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f560,f595,f591,f587,f583,f579,f575,f571]) ).
fof(f601,definition,
( spl61_8
<=> ! [X4] :
( ~ ssList(X4)
| ~ segmentP(sK55,X4)
| ~ segmentP(sK56,X4)
| ~ neq(X4,nil) ) ),
introduced(definition,[new_symbols(definition,[spl61_8])],[avatar_definition]) ).
fof(f602,plain,
( ! [X4] :
( ~ segmentP(sK56,X4)
| ~ segmentP(sK55,X4)
| ~ ssList(X4)
| ~ neq(X4,nil) )
| ~ spl61_8 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f603,plain,
( ~ spl61_1
| spl61_8 ),
inference(avatar_split_clause,[],[f511,f601,f571]) ).
fof(f605,plain,
spl61_1,
inference(avatar_split_clause,[],[f562,f571]) ).
fof(f607,definition,
( spl61_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl61_9])],[avatar_definition]) ).
fof(f608,plain,
( ssList(nil)
| ~ spl61_9 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f635,plain,
spl61_9,
inference(avatar_split_clause,[],[f389,f607]) ).
fof(f638,plain,
( nil = sK56
| ~ ssList(sK56)
| ~ ssList(nil)
| spl61_2 ),
inference(resolution,[],[f387,f577]) ).
fof(f639,plain,
( nil = sK56
| ~ ssList(nil)
| spl61_2 ),
inference(forward_subsumption_resolution,[],[f638,f513]) ).
fof(f640,plain,
( nil = sK56
| spl61_2
| ~ spl61_9 ),
inference(forward_subsumption_resolution,[],[f639,f608]) ).
fof(f644,plain,
( ~ neq(nil,nil)
| spl61_2
| ~ spl61_9 ),
inference(superposition,[],[f577,f640]) ).
fof(f645,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f474,f513]) ).
fof(f657,plain,
( neq(nil,nil)
| ~ spl61_1
| spl61_2
| ~ spl61_9 ),
inference(superposition,[],[f572,f640]) ).
fof(f658,plain,
( $false
| ~ spl61_1
| spl61_2
| ~ spl61_9 ),
inference(forward_subsumption_resolution,[],[f657,f644]) ).
fof(f659,plain,
( ~ spl61_1
| spl61_2
| ~ spl61_9 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f660,plain,
( sK56 = cons(hd(sK56),sF57)
| nil = sK56 ),
inference(forward_demodulation,[],[f645,f551]) ).
fof(f661,plain,
( sK56 = cons(sF58,sF57)
| nil = sK56 ),
inference(forward_demodulation,[],[f660,f553]) ).
fof(f663,definition,
( spl61_17
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl61_17])],[avatar_definition]) ).
fof(f664,plain,
( nil != sK56
| spl61_17 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( nil = sK56
| ~ spl61_17 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f667,definition,
( spl61_18
<=> sK56 = cons(sF58,sF57) ),
introduced(definition,[new_symbols(definition,[spl61_18])],[avatar_definition]) ).
fof(f669,plain,
( sK56 = cons(sF58,sF57)
| ~ spl61_18 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f670,plain,
( spl61_17
| spl61_18 ),
inference(avatar_split_clause,[],[f661,f667,f663]) ).
fof(f671,plain,
( neq(nil,nil)
| ~ spl61_1
| ~ spl61_17 ),
inference(superposition,[],[f572,f665]) ).
fof(f677,plain,
( ssItem(sF58)
| nil = sK56
| ~ ssList(sK56) ),
inference(superposition,[],[f397,f553]) ).
fof(f679,plain,
sK55 = app(sK55,nil),
inference(resolution,[],[f482,f514]) ).
fof(f684,plain,
( ssList(sF57)
| nil = sK56
| ~ ssList(sK56) ),
inference(superposition,[],[f399,f551]) ).
fof(f687,plain,
( ssList(sF59)
| ~ ssItem(sF58)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f555]) ).
fof(f691,plain,
( ssList(sF60)
| ~ ssList(sF59)
| ~ ssList(sF57) ),
inference(superposition,[],[f401,f557]) ).
fof(f692,plain,
( ~ spl61_5
| ~ spl61_4
| spl61_7 ),
inference(avatar_split_clause,[],[f691,f595,f583,f587]) ).
fof(f708,plain,
( ~ ssList(nil)
| ~ spl61_1
| ~ spl61_17 ),
inference(resolution,[],[f567,f671]) ).
fof(f710,plain,
( $false
| ~ spl61_1
| ~ spl61_9
| ~ spl61_17 ),
inference(forward_subsumption_resolution,[],[f708,f608]) ).
fof(f711,plain,
( ~ spl61_1
| ~ spl61_9
| ~ spl61_17 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f712,plain,
( nil = sK56
| ~ ssList(sK56)
| spl61_3 ),
inference(forward_subsumption_resolution,[],[f677,f581]) ).
fof(f713,plain,
( ssList(sF57)
| ~ ssList(sK56)
| spl61_17 ),
inference(forward_subsumption_resolution,[],[f684,f664]) ).
fof(f714,plain,
( ~ ssList(sK56)
| spl61_3
| spl61_17 ),
inference(forward_subsumption_resolution,[],[f712,f664]) ).
fof(f715,plain,
( ssList(sF57)
| spl61_17 ),
inference(forward_subsumption_resolution,[],[f713,f513]) ).
fof(f716,plain,
( $false
| spl61_3
| spl61_17 ),
inference(forward_subsumption_resolution,[],[f714,f513]) ).
fof(f717,plain,
( spl61_3
| spl61_17 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f718,plain,
( spl61_5
| spl61_17 ),
inference(avatar_split_clause,[],[f715,f663,f587]) ).
fof(f719,plain,
( ~ ssItem(sF58)
| ~ ssList(nil)
| spl61_4 ),
inference(forward_subsumption_resolution,[],[f687,f585]) ).
fof(f720,plain,
( ~ ssList(nil)
| ~ spl61_3
| spl61_4 ),
inference(forward_subsumption_resolution,[],[f719,f580]) ).
fof(f721,plain,
( $false
| ~ spl61_3
| spl61_4
| ~ spl61_9 ),
inference(forward_subsumption_resolution,[],[f720,f608]) ).
fof(f722,plain,
( ~ spl61_3
| spl61_4
| ~ spl61_9 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f724,plain,
( sF59 = app(nil,sF59)
| ~ spl61_4 ),
inference(resolution,[],[f584,f403]) ).
fof(f732,definition,
( spl61_20
<=> nil = sF59 ),
introduced(definition,[new_symbols(definition,[spl61_20])],[avatar_definition]) ).
fof(f733,plain,
( nil != sF59
| spl61_20 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f757,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sF57) = app(cons(X0,nil),sF57) )
| ~ spl61_5 ),
inference(resolution,[],[f477,f588]) ).
fof(f760,plain,
( cons(sF58,sF57) = app(cons(sF58,nil),sF57)
| ~ spl61_3
| ~ spl61_5 ),
inference(resolution,[],[f757,f580]) ).
fof(f761,plain,
( cons(sF58,sF57) = app(sF59,sF57)
| ~ spl61_3
| ~ spl61_5 ),
inference(forward_demodulation,[],[f760,f555]) ).
fof(f762,plain,
( sK56 = app(sF59,sF57)
| ~ spl61_3
| ~ spl61_5
| ~ spl61_18 ),
inference(forward_demodulation,[],[f761,f669]) ).
fof(f775,plain,
( nil != sF59
| ~ ssItem(sF58)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f555]) ).
fof(f787,plain,
( nil != sF59
| ~ ssList(nil)
| ~ spl61_3 ),
inference(forward_subsumption_resolution,[],[f775,f580]) ).
fof(f788,plain,
( nil != sF59
| ~ spl61_3
| ~ spl61_9 ),
inference(forward_subsumption_resolution,[],[f787,f608]) ).
fof(f789,plain,
( ~ spl61_20
| ~ spl61_3
| ~ spl61_9 ),
inference(avatar_split_clause,[],[f788,f607,f579,f732]) ).
fof(f793,plain,
( ! [X0] :
( segmentP(app(sF59,X0),sF59)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF59,X0)) )
| ~ spl61_4 ),
inference(superposition,[],[f520,f724]) ).
fof(f796,plain,
! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(sF57)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF60,X0)) ),
inference(superposition,[],[f520,f557]) ).
fof(f804,plain,
( ! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_5 ),
inference(forward_subsumption_resolution,[],[f796,f588]) ).
fof(f805,plain,
( ! [X0] :
( segmentP(app(sF59,X0),sF59)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF59,X0)) )
| ~ spl61_4
| ~ spl61_9 ),
inference(forward_subsumption_resolution,[],[f793,f608]) ).
fof(f810,plain,
( ! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(X0)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_4
| ~ spl61_5 ),
inference(forward_subsumption_resolution,[],[f804,f584]) ).
fof(f811,plain,
( ! [X0] :
( segmentP(app(sF59,X0),sF59)
| ~ ssList(X0)
| ~ ssList(app(sF59,X0)) )
| ~ spl61_4
| ~ spl61_9 ),
inference(forward_subsumption_resolution,[],[f805,f584]) ).
fof(f815,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sF59)
| ~ ssList(X0)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(forward_demodulation,[],[f810,f593]) ).
fof(f816,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sF59)
| ~ ssList(app(sK55,X0))
| ~ ssList(X0) )
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(forward_demodulation,[],[f815,f593]) ).
fof(f817,plain,
( segmentP(sK56,sF59)
| ~ ssList(sF57)
| ~ ssList(sK56)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_9
| ~ spl61_18 ),
inference(superposition,[],[f811,f762]) ).
fof(f821,plain,
( segmentP(sK56,sF59)
| ~ ssList(sK56)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_9
| ~ spl61_18 ),
inference(forward_subsumption_resolution,[],[f817,f588]) ).
fof(f823,plain,
( segmentP(sK56,sF59)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_9
| ~ spl61_18 ),
inference(forward_subsumption_resolution,[],[f821,f513]) ).
fof(f824,plain,
( ~ segmentP(sK55,sF59)
| ~ ssList(sF59)
| ~ neq(sF59,nil)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_8
| ~ spl61_9
| ~ spl61_18 ),
inference(resolution,[],[f823,f602]) ).
fof(f825,plain,
( ~ segmentP(sK55,sF59)
| ~ neq(sF59,nil)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_8
| ~ spl61_9
| ~ spl61_18 ),
inference(forward_subsumption_resolution,[],[f824,f584]) ).
fof(f827,definition,
( spl61_25
<=> neq(sF59,nil) ),
introduced(definition,[new_symbols(definition,[spl61_25])],[avatar_definition]) ).
fof(f829,plain,
( ~ neq(sF59,nil)
| spl61_25 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f831,definition,
( spl61_26
<=> segmentP(sK55,sF59) ),
introduced(definition,[new_symbols(definition,[spl61_26])],[avatar_definition]) ).
fof(f833,plain,
( ~ segmentP(sK55,sF59)
| spl61_26 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f834,plain,
( ~ spl61_25
| ~ spl61_26
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_8
| ~ spl61_9
| ~ spl61_18 ),
inference(avatar_split_clause,[],[f825,f667,f607,f601,f587,f583,f579,f831,f827]) ).
fof(f835,plain,
( nil = sF59
| ~ ssList(nil)
| ~ ssList(sF59)
| spl61_25 ),
inference(resolution,[],[f829,f387]) ).
fof(f836,plain,
( ~ ssList(nil)
| ~ ssList(sF59)
| spl61_20
| spl61_25 ),
inference(forward_subsumption_resolution,[],[f835,f733]) ).
fof(f837,plain,
( ~ ssList(sF59)
| ~ spl61_9
| spl61_20
| spl61_25 ),
inference(forward_subsumption_resolution,[],[f836,f608]) ).
fof(f838,plain,
( $false
| ~ spl61_4
| ~ spl61_9
| spl61_20
| spl61_25 ),
inference(forward_subsumption_resolution,[],[f837,f584]) ).
fof(f839,plain,
( ~ spl61_4
| ~ spl61_9
| spl61_20
| spl61_25 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f856,plain,
( segmentP(sK55,sF59)
| ~ ssList(sK55)
| ~ ssList(nil)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(superposition,[],[f816,f679]) ).
fof(f857,plain,
( ~ ssList(sK55)
| ~ ssList(nil)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_26 ),
inference(forward_subsumption_resolution,[],[f856,f833]) ).
fof(f858,plain,
( ~ ssList(nil)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_26 ),
inference(forward_subsumption_resolution,[],[f857,f514]) ).
fof(f859,plain,
( $false
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_9
| spl61_26 ),
inference(forward_subsumption_resolution,[],[f858,f608]) ).
fof(f860,plain,
( ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_9
| spl61_26 ),
inference(avatar_contradiction_clause,[],[f859]) ).
cnf(s1,plain,
( ~ spl61_1
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_6
| ~ spl61_7 ),
inference(sat_conversion,[],[f598]) ).
cnf(s3,plain,
( ~ spl61_1
| spl61_8 ),
inference(sat_conversion,[],[f603]) ).
cnf(s5,plain,
spl61_1,
inference(sat_conversion,[],[f605]) ).
cnf(s13,plain,
spl61_9,
inference(sat_conversion,[],[f635]) ).
cnf(s15,plain,
( ~ spl61_1
| spl61_2
| ~ spl61_9 ),
inference(sat_conversion,[],[f659]) ).
cnf(s16,plain,
( spl61_17
| spl61_18 ),
inference(sat_conversion,[],[f670]) ).
cnf(s17,plain,
( ~ spl61_4
| ~ spl61_5
| spl61_7 ),
inference(sat_conversion,[],[f692]) ).
cnf(s18,plain,
( ~ spl61_1
| ~ spl61_9
| ~ spl61_17 ),
inference(sat_conversion,[],[f711]) ).
cnf(s19,plain,
( spl61_3
| spl61_17 ),
inference(sat_conversion,[],[f717]) ).
cnf(s20,plain,
( spl61_5
| spl61_17 ),
inference(sat_conversion,[],[f718]) ).
cnf(s21,plain,
( ~ spl61_3
| spl61_4
| ~ spl61_9 ),
inference(sat_conversion,[],[f722]) ).
cnf(s25,plain,
( ~ spl61_3
| ~ spl61_9
| ~ spl61_20 ),
inference(sat_conversion,[],[f789]) ).
cnf(s26,plain,
( ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_8
| ~ spl61_9
| ~ spl61_18
| ~ spl61_25
| ~ spl61_26 ),
inference(sat_conversion,[],[f834]) ).
cnf(s27,plain,
( ~ spl61_4
| ~ spl61_9
| spl61_20
| spl61_25 ),
inference(sat_conversion,[],[f839]) ).
cnf(s29,plain,
( ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_9
| spl61_26 ),
inference(sat_conversion,[],[f860]) ).
cnf(s33,plain,
~ spl61_17,
inference(rat,[],[s18,s13,s5]) ).
cnf(s34,plain,
spl61_2,
inference(rat,[],[s15,s13,s5]) ).
cnf(s35,plain,
spl61_5,
inference(rat,[],[s20,s33]) ).
cnf(s36,plain,
spl61_3,
inference(rat,[],[s19,s33]) ).
cnf(s37,plain,
spl61_18,
inference(rat,[],[s16,s33]) ).
cnf(s38,plain,
~ spl61_20,
inference(rat,[],[s25,s13,s36]) ).
cnf(s39,plain,
spl61_4,
inference(rat,[],[s21,s13,s36]) ).
cnf(s40,plain,
spl61_25,
inference(rat,[],[s27,s38,s13,s39]) ).
cnf(s42,plain,
spl61_7,
inference(rat,[],[s17,s35,s39]) ).
cnf(s43,plain,
spl61_8,
inference(rat,[],[s3,s5]) ).
cnf(s44,plain,
~ spl61_26,
inference(rat,[],[s26,s39,s40,s37,s13,s36,s35,s43]) ).
cnf(s45,plain,
~ spl61_6,
inference(rat,[],[s29,s39,s13,s35,s44]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s1,s42,s45,s35,s39,s36,s34,s5]) ).
fof(f861,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC087+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 28 07:48:19 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 4.14/1.17 % (3222104)Detected formulas, will run a generic FOF schedule.
% 4.14/1.17 % (3222114)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1424768874:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.14/1.17 % (3222113)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1093689448:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.14/1.17 % (3222110)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=814468909:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.14/1.17 % (3222115)dis-21_1_sil=8000:lcm=predicate:random_seed=117307208: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)
% 4.14/1.17 % (3222111)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=462007831:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.14/1.17 % (3222109)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=3720191091:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.14/1.17 % (3222112)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2495814314:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.14/1.17 % (3222112)Instruction limit reached!
% 4.14/1.17 % (3222112)------------------------------
% 4.14/1.17 % (3222112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222112)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222112)Termination reason: Instruction limit
% 4.14/1.17 % (3222112)Termination phase: Saturation
% 4.14/1.17 % (3222112)Time elapsed: 0.032 s
% 4.14/1.17 % (3222112)Peak memory usage: 89 MB
% 4.14/1.17 % (3222112)Instructions burned: 112 (million)
% 4.14/1.17 % (3222113)Instruction limit reached!
% 4.14/1.17 % (3222113)------------------------------
% 4.14/1.17 % (3222113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222113)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222113)Termination reason: Instruction limit
% 4.14/1.17 % (3222113)Termination phase: Saturation
% 4.14/1.17 % (3222113)Time elapsed: 0.036 s
% 4.14/1.17 % (3222113)Peak memory usage: 88 MB
% 4.14/1.17 % (3222113)Instructions burned: 120 (million)
% 4.14/1.17 % (3222115)Instruction limit reached!
% 4.14/1.17 % (3222115)------------------------------
% 4.14/1.17 % (3222115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222115)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222115)Termination reason: Instruction limit
% 4.14/1.17 % (3222115)Termination phase: Saturation
% 4.14/1.17 % (3222115)Time elapsed: 0.039 s
% 4.14/1.17 % (3222115)Peak memory usage: 90 MB
% 4.14/1.17 % (3222115)Instructions burned: 129 (million)
% 4.14/1.17 % (3222114)Instruction limit reached!
% 4.14/1.17 % (3222114)------------------------------
% 4.14/1.17 % (3222114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222114)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222114)Termination reason: Instruction limit
% 4.14/1.17 % (3222114)Termination phase: Saturation
% 4.14/1.17 % (3222114)Time elapsed: 0.063 s
% 4.14/1.17 % (3222114)Peak memory usage: 90 MB
% 4.14/1.17 % (3222114)Instructions burned: 139 (million)
% 4.14/1.17 % (3222124)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3808576626:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.14/1.17 % (3222123)lrs+10_1_sil=8000:sp=occurrence:random_seed=2027068337:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.14/1.17 % (3222125)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2124683210:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.14/1.17 % (3222126)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=427079114:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.14/1.17 % (3222124)Instruction limit reached!
% 4.14/1.17 % (3222124)------------------------------
% 4.14/1.17 % (3222124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222124)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222124)Termination reason: Instruction limit
% 4.14/1.17 % (3222124)Termination phase: Saturation
% 4.14/1.17 % (3222124)Time elapsed: 0.045 s
% 4.14/1.17 % (3222124)Peak memory usage: 93 MB
% 4.14/1.17 % (3222124)Instructions burned: 161 (million)
% 4.14/1.17 % (3222126)Instruction limit reached!
% 4.14/1.17 % (3222126)------------------------------
% 4.14/1.17 % (3222126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222126)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222126)Termination reason: Instruction limit
% 4.14/1.17 % (3222126)Termination phase: Saturation
% 4.14/1.17 % (3222126)Time elapsed: 0.065 s
% 4.14/1.17 % (3222126)Peak memory usage: 93 MB
% 4.14/1.17 % (3222126)Instructions burned: 250 (million)
% 4.14/1.17 % (3222123)Instruction limit reached!
% 4.14/1.17 % (3222123)------------------------------
% 4.14/1.17 % (3222123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222123)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222123)Termination reason: Instruction limit
% 4.14/1.17 % (3222123)Termination phase: Saturation
% 4.14/1.17 % (3222123)Time elapsed: 0.089 s
% 4.14/1.17 % (3222123)Peak memory usage: 92 MB
% 4.14/1.17 % (3222123)Instructions burned: 286 (million)
% 4.14/1.17 % (3222125)Instruction limit reached!
% 4.14/1.17 % (3222125)------------------------------
% 4.14/1.17 % (3222125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222125)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222125)Termination reason: Instruction limit
% 4.14/1.17 % (3222125)Termination phase: Saturation
% 4.14/1.17 % (3222125)Time elapsed: 0.109 s
% 4.14/1.17 % (3222125)Peak memory usage: 92 MB
% 4.14/1.17 % (3222125)Instructions burned: 325 (million)
% 4.14/1.17 % (3222131)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1692946713:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 4.14/1.17 % (3222132)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1067277056:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.14/1.17 % (3222133)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3468962709:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.14/1.17 % (3222131)Instruction limit reached!
% 4.14/1.17 % (3222131)------------------------------
% 4.14/1.17 % (3222131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222131)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222131)Termination reason: Instruction limit
% 4.14/1.17 % (3222131)Termination phase: Saturation
% 4.14/1.17 % (3222131)Time elapsed: 0.083 s
% 4.14/1.17 % (3222131)Peak memory usage: 89 MB
% 4.14/1.17 % (3222131)Instructions burned: 298 (million)
% 4.14/1.17 % (3222134)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=406322789:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 4.14/1.17 % (3222133)Instruction limit reached!
% 4.14/1.17 % (3222133)------------------------------
% 4.14/1.17 % (3222133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222133)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222133)Termination reason: Instruction limit
% 4.14/1.17 % (3222133)Termination phase: Saturation
% 4.14/1.17 % (3222133)Time elapsed: 0.040 s
% 4.14/1.17 % (3222133)Peak memory usage: 90 MB
% 4.14/1.17 % (3222133)Instructions burned: 113 (million)
% 4.14/1.17 % (3222109)First to succeed.
% 4.14/1.17 % (3222109)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3222104"
% 4.14/1.17 % (3222134)Instruction limit reached!
% 4.14/1.17 % (3222134)------------------------------
% 4.14/1.17 % (3222134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222134)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222134)Termination reason: Instruction limit
% 4.14/1.17 % (3222134)Termination phase: Saturation
% 4.14/1.17 % (3222134)Time elapsed: 0.035 s
% 4.14/1.17 % (3222134)Peak memory usage: 90 MB
% 4.14/1.17 % (3222134)Instructions burned: 131 (million)
% 4.14/1.17 % (3222138)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4080109830:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 4.14/1.17 % (3222140)lrs+10_1_sil=8000:sp=occurrence:random_seed=2835070985:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 4.14/1.17 % (3222138)Instruction limit reached!
% 4.14/1.17 % (3222138)------------------------------
% 4.14/1.17 % (3222138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.17 % (3222138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.17 % (3222138)CaDiCaL version: 2.1.3
% 4.14/1.17 % (3222138)Termination reason: Instruction limit
% 4.14/1.17 % (3222138)Termination phase: Saturation
% 4.14/1.17 % (3222138)Time elapsed: 0.036 s
% 4.14/1.17 % (3222138)Peak memory usage: 89 MB
% 4.14/1.17 % (3222138)Instructions burned: 117 (million)
% 4.14/1.17 % (3222141)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2945613260:i=437:sd=1:aac=none:ss=included_2995 on theBenchmark for (2995ds/437Mi)
% 4.14/1.17 % (3222109)Refutation found. Thanks to Tanya!
% 4.14/1.17 % SZS status Theorem for theBenchmark
% 4.14/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 4.70/1.26 % (3222109)------------------------------
% 4.70/1.26 % (3222109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.26 % (3222109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.26 % (3222109)CaDiCaL version: 2.1.3
% 4.70/1.26 % (3222109)Termination reason: Refutation
% 4.70/1.26 % (3222109)Time elapsed: 0.379 s
% 4.70/1.26 % (3222109)Peak memory usage: 131 MB
% 4.70/1.26 % (3222109)Instructions burned: 1021 (million)
% 4.70/1.26 % (3222109)------------------------------
% 4.70/1.26 % (3222109)------------------------------
% 4.70/1.26 % (3222104)Success in time 0.642 s
% 4.70/1.26 % Vampire exiting
%------------------------------------------------------------------------------