%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC072+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 : n006.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 01:02:18 PM UTC 2026
% Result : Theorem 4.40s 1.58s
% Output : Refutation 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 31
% Syntax : Number of formulae : 221 ( 34 unt; 18 def)
% Number of atoms : 864 ( 150 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 1139 ( 496 ~; 536 |; 64 &)
% ( 18 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 134 ( 0 sgn 112 !; 22 ?)
% 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(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(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
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
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ( nil != X2
& nil = X3 )
| ( nil = X1
& nil = X0 )
| ( ? [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(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
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ( nil != X2
& nil = X3 )
| ( nil = X1
& nil = X0 )
| ( ? [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(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(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(f172,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
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] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ( nil = X2
| nil != X3 )
& ( nil != X1
| nil != X0 )
& ( ! [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(X3,nil) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f245,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(f246,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,[],[f245]) ).
fof(f247,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))],[f246]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f295,plain,
( ssList(sK56)
& sK54 = sK56
& sK53 = sK55
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) )
& ( nil = sK55
| nil != sK56 )
& ( nil != sK54
| nil != sK53 )
& ( ! [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(sK56,nil) )
& 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)],[f221]) ).
fof(f317,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,[],[f247]) ).
fof(f386,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f387,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f388,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f396,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f398,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f402,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f439,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f473,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f476,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f481,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f495,plain,
ssList(sK53),
inference(cnf_transformation,[],[f295]) ).
fof(f496,plain,
ssList(sK54),
inference(cnf_transformation,[],[f295]) ).
fof(f498,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,[],[f295]) ).
fof(f499,plain,
( nil != sK54
| nil != sK53 ),
inference(cnf_transformation,[],[f295]) ).
fof(f500,plain,
( nil = sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f295]) ).
fof(f501,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) ),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f503,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f295]) ).
fof(f505,plain,
! [X4] :
( ~ segmentP(sK56,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK55,X4) ),
inference(definition_unfolding,[],[f501,f503,f502]) ).
fof(f506,plain,
( nil != sK56
| nil != sK55 ),
inference(definition_unfolding,[],[f499,f503,f502]) ).
fof(f507,plain,
ssList(sK56),
inference(definition_unfolding,[],[f496,f503]) ).
fof(f508,plain,
ssList(sK55),
inference(definition_unfolding,[],[f495,f502]) ).
fof(f514,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,[],[f317]) ).
fof(f536,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,[],[f498]) ).
fof(f537,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,[],[f536]) ).
fof(f538,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,[],[f537]) ).
fof(f539,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,[],[f538]) ).
fof(f540,definition,
sF57 = tl(sK56),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
fof(f541,plain,
tl(sK56) = sF57,
inference(reorient_equations,[],[f540]) ).
fof(f542,definition,
sF58 = hd(sK56),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f543,plain,
hd(sK56) = sF58,
inference(reorient_equations,[],[f542]) ).
fof(f544,definition,
sF59 = cons(sF58,nil),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
fof(f545,plain,
cons(sF58,nil) = sF59,
inference(reorient_equations,[],[f544]) ).
fof(f546,definition,
sF60 = app(sF57,sF59),
introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).
fof(f547,plain,
app(sF57,sF59) = sF60,
inference(reorient_equations,[],[f546]) ).
fof(f548,plain,
( ~ ssList(sF60)
| sK55 = sF60
| ~ ssList(sF57)
| ~ ssList(sF59)
| ~ ssItem(sF58)
| ~ neq(nil,sK56)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(definition_folding,[],[f539,f543,f545,f543,f541,f547,f545,f543,f541,f547,f545,f543,f541]) ).
fof(f549,plain,
( ~ ssList(sF60)
| sK55 = sF60
| ~ ssList(sF57)
| ~ ssList(sF59)
| ~ ssItem(sF58)
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(duplicate_literal_removal,[],[f548]) ).
fof(f558,definition,
( spl61_1
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl61_1])],[avatar_definition]) ).
fof(f560,plain,
( ~ neq(sK56,nil)
| spl61_1 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f562,definition,
( spl61_2
<=> neq(nil,sK56) ),
introduced(definition,[new_symbols(definition,[spl61_2])],[avatar_definition]) ).
fof(f564,plain,
( ~ neq(nil,sK56)
| spl61_2 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl61_3
<=> ssItem(sF58) ),
introduced(definition,[new_symbols(definition,[spl61_3])],[avatar_definition]) ).
fof(f567,plain,
( ssItem(sF58)
| ~ spl61_3 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f570,definition,
( spl61_4
<=> ssList(sF59) ),
introduced(definition,[new_symbols(definition,[spl61_4])],[avatar_definition]) ).
fof(f571,plain,
( ssList(sF59)
| ~ spl61_4 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f572,plain,
( ~ ssList(sF59)
| spl61_4 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,definition,
( spl61_5
<=> ssList(sF57) ),
introduced(definition,[new_symbols(definition,[spl61_5])],[avatar_definition]) ).
fof(f575,plain,
( ssList(sF57)
| ~ spl61_5 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f578,definition,
( spl61_6
<=> sK55 = sF60 ),
introduced(definition,[new_symbols(definition,[spl61_6])],[avatar_definition]) ).
fof(f580,plain,
( sK55 = sF60
| ~ spl61_6 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f582,definition,
( spl61_7
<=> ssList(sF60) ),
introduced(definition,[new_symbols(definition,[spl61_7])],[avatar_definition]) ).
fof(f584,plain,
( ~ ssList(sF60)
| spl61_7 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f585,plain,
( ~ spl61_1
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_6
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f549,f582,f578,f574,f570,f566,f562,f558]) ).
fof(f587,definition,
( spl61_8
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl61_8])],[avatar_definition]) ).
fof(f591,definition,
( spl61_9
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl61_9])],[avatar_definition]) ).
fof(f593,plain,
( nil != sK56
| spl61_9 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f594,plain,
( ~ spl61_8
| ~ spl61_9 ),
inference(avatar_split_clause,[],[f506,f591,f587]) ).
fof(f595,plain,
( ~ spl61_9
| spl61_8 ),
inference(avatar_split_clause,[],[f500,f587,f591]) ).
fof(f597,definition,
( spl61_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl61_10])],[avatar_definition]) ).
fof(f598,plain,
( ssList(nil)
| ~ spl61_10 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f625,plain,
spl61_10,
inference(avatar_split_clause,[],[f388,f597]) ).
fof(f628,plain,
( nil = sK56
| sK56 = cons(hd(sK56),tl(sK56)) ),
inference(resolution,[],[f473,f507]) ).
fof(f636,plain,
( sK56 = cons(hd(sK56),tl(sK56))
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f628,f593]) ).
fof(f637,plain,
( sK56 = cons(hd(sK56),sF57)
| spl61_9 ),
inference(forward_demodulation,[],[f636,f541]) ).
fof(f638,plain,
( sK56 = cons(sF58,sF57)
| spl61_9 ),
inference(forward_demodulation,[],[f637,f543]) ).
fof(f640,plain,
( ssItem(sF58)
| nil = sK56
| ~ ssList(sK56) ),
inference(superposition,[],[f396,f543]) ).
fof(f641,plain,
( ssItem(sF58)
| ~ ssList(sK56)
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f640,f593]) ).
fof(f642,plain,
( ssItem(sF58)
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f641,f507]) ).
fof(f643,plain,
( spl61_3
| spl61_9 ),
inference(avatar_split_clause,[],[f642,f591,f566]) ).
fof(f645,plain,
( ssList(sF57)
| nil = sK56
| ~ ssList(sK56) ),
inference(superposition,[],[f398,f541]) ).
fof(f646,plain,
( ssList(sF57)
| ~ ssList(sK56)
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f645,f593]) ).
fof(f647,plain,
( ssList(sF57)
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f646,f507]) ).
fof(f648,plain,
( spl61_5
| spl61_9 ),
inference(avatar_split_clause,[],[f647,f591,f574]) ).
fof(f655,definition,
( spl61_18
<=> nil = sF57 ),
introduced(definition,[new_symbols(definition,[spl61_18])],[avatar_definition]) ).
fof(f657,plain,
( nil = sF57
| ~ spl61_18 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f659,plain,
( ~ ssList(sK56)
| ~ neq(sK56,nil)
| ~ ssList(sK56)
| ~ segmentP(sK55,sK56) ),
inference(resolution,[],[f439,f505]) ).
fof(f660,plain,
( ~ ssList(sK56)
| ~ neq(sK56,nil)
| ~ segmentP(sK55,sK56) ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f661,plain,
( ~ neq(sK56,nil)
| ~ segmentP(sK55,sK56) ),
inference(forward_subsumption_resolution,[],[f660,f507]) ).
fof(f663,definition,
( spl61_19
<=> segmentP(sK55,sK56) ),
introduced(definition,[new_symbols(definition,[spl61_19])],[avatar_definition]) ).
fof(f665,plain,
( ~ segmentP(sK55,sK56)
| spl61_19 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f666,plain,
( ~ spl61_19
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f661,f558,f663]) ).
fof(f667,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl61_1 ),
inference(resolution,[],[f560,f386]) ).
fof(f668,plain,
( ~ ssList(nil)
| ~ ssList(sK56)
| spl61_1
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f667,f593]) ).
fof(f669,plain,
( ~ ssList(sK56)
| spl61_1
| spl61_9
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f668,f598]) ).
fof(f670,plain,
( $false
| spl61_1
| spl61_9
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f669,f507]) ).
fof(f671,plain,
( spl61_1
| spl61_9
| ~ spl61_10 ),
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f673,plain,
( ssList(sF59)
| ~ ssItem(sF58)
| ~ ssList(nil) ),
inference(superposition,[],[f387,f545]) ).
fof(f675,plain,
( ~ ssItem(sF58)
| ~ ssList(nil)
| spl61_4 ),
inference(forward_subsumption_resolution,[],[f673,f572]) ).
fof(f677,plain,
( ~ ssList(nil)
| ~ spl61_3
| spl61_4 ),
inference(forward_subsumption_resolution,[],[f675,f567]) ).
fof(f678,plain,
( $false
| ~ spl61_3
| spl61_4
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f677,f598]) ).
fof(f679,plain,
( ~ spl61_3
| spl61_4
| ~ spl61_10 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f690,plain,
( nil = sK56
| ~ ssList(sK56)
| ~ ssList(nil)
| spl61_2 ),
inference(resolution,[],[f564,f386]) ).
fof(f691,plain,
( ~ ssList(sK56)
| ~ ssList(nil)
| spl61_2
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f690,f593]) ).
fof(f692,plain,
( ~ ssList(nil)
| spl61_2
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f691,f507]) ).
fof(f693,plain,
( $false
| spl61_2
| spl61_9
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f692,f598]) ).
fof(f694,plain,
( spl61_2
| spl61_9
| ~ spl61_10 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f696,plain,
( ssList(sF60)
| ~ ssList(sF59)
| ~ ssList(sF57) ),
inference(superposition,[],[f400,f547]) ).
fof(f697,plain,
( ~ ssList(sF59)
| ~ ssList(sF57)
| spl61_7 ),
inference(forward_subsumption_resolution,[],[f696,f584]) ).
fof(f698,plain,
( ~ ssList(sF57)
| ~ spl61_4
| spl61_7 ),
inference(forward_subsumption_resolution,[],[f697,f571]) ).
fof(f699,plain,
( $false
| ~ spl61_4
| ~ spl61_5
| spl61_7 ),
inference(forward_subsumption_resolution,[],[f698,f575]) ).
fof(f700,plain,
( ~ spl61_4
| ~ spl61_5
| spl61_7 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f711,plain,
( sF57 = app(nil,sF57)
| ~ spl61_5 ),
inference(resolution,[],[f402,f575]) ).
fof(f712,plain,
( sF59 = app(nil,sF59)
| ~ spl61_4 ),
inference(resolution,[],[f402,f571]) ).
fof(f717,plain,
sK55 = app(sK55,nil),
inference(resolution,[],[f481,f508]) ).
fof(f718,plain,
sK56 = app(sK56,nil),
inference(resolution,[],[f481,f507]) ).
fof(f720,plain,
( sF59 = app(sF59,nil)
| ~ spl61_4 ),
inference(resolution,[],[f481,f571]) ).
fof(f725,plain,
! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(sF57)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF60,X0)) ),
inference(superposition,[],[f514,f547]) ).
fof(f731,plain,
( ! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(X0)
| ~ ssList(sF59)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_5 ),
inference(forward_subsumption_resolution,[],[f725,f575]) ).
fof(f734,plain,
( ! [X0] :
( segmentP(app(sF60,X0),sF59)
| ~ ssList(X0)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_4
| ~ spl61_5 ),
inference(forward_subsumption_resolution,[],[f731,f571]) ).
fof(f735,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sF59)
| ~ ssList(X0)
| ~ ssList(app(sF60,X0)) )
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(forward_demodulation,[],[f734,f580]) ).
fof(f736,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sF59)
| ~ ssList(app(sK55,X0))
| ~ ssList(X0) )
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(forward_demodulation,[],[f735,f580]) ).
fof(f737,plain,
( segmentP(sK55,sF59)
| ~ ssList(sK55)
| ~ ssList(nil)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(superposition,[],[f736,f717]) ).
fof(f738,plain,
( segmentP(sK55,sF59)
| ~ ssList(nil)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(forward_subsumption_resolution,[],[f737,f508]) ).
fof(f739,plain,
( segmentP(sK55,sF59)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f738,f598]) ).
fof(f765,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sF57) = app(cons(X0,nil),sF57) )
| ~ spl61_5 ),
inference(resolution,[],[f476,f575]) ).
fof(f771,plain,
( cons(sF58,sF57) = app(cons(sF58,nil),sF57)
| ~ spl61_3
| ~ spl61_5 ),
inference(resolution,[],[f765,f567]) ).
fof(f772,plain,
( cons(sF58,sF57) = app(sF59,sF57)
| ~ spl61_3
| ~ spl61_5 ),
inference(forward_demodulation,[],[f771,f545]) ).
fof(f773,plain,
( sK56 = app(sF59,sF57)
| ~ spl61_3
| ~ spl61_5
| spl61_9 ),
inference(forward_demodulation,[],[f772,f638]) ).
fof(f774,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sF57)
| ~ ssList(sF59)
| ~ ssList(X0)
| ~ ssList(sF57)
| ~ ssList(app(sK56,X0)) )
| ~ spl61_3
| ~ spl61_5
| spl61_9 ),
inference(superposition,[],[f514,f773]) ).
fof(f776,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sF57)
| ~ ssList(X0)
| ~ ssList(sF57)
| ~ ssList(app(sK56,X0)) )
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f774,f571]) ).
fof(f777,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sF57)
| ~ ssList(X0)
| ~ ssList(app(sK56,X0)) )
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9 ),
inference(forward_subsumption_resolution,[],[f776,f575]) ).
fof(f778,plain,
( segmentP(sK56,sF57)
| ~ ssList(nil)
| ~ ssList(sK56)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9 ),
inference(superposition,[],[f777,f718]) ).
fof(f779,plain,
( segmentP(sK56,sF57)
| ~ ssList(sK56)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f778,f598]) ).
fof(f780,plain,
( segmentP(sK56,sF57)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f779,f507]) ).
fof(f781,plain,
( ~ neq(sF57,nil)
| ~ ssList(sF57)
| ~ segmentP(sK55,sF57)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9
| ~ spl61_10 ),
inference(resolution,[],[f780,f505]) ).
fof(f782,plain,
( ~ neq(sF57,nil)
| ~ segmentP(sK55,sF57)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f781,f575]) ).
fof(f784,definition,
( spl61_24
<=> segmentP(sK55,sF57) ),
introduced(definition,[new_symbols(definition,[spl61_24])],[avatar_definition]) ).
fof(f786,plain,
( ~ segmentP(sK55,sF57)
| spl61_24 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f788,definition,
( spl61_25
<=> neq(sF57,nil) ),
introduced(definition,[new_symbols(definition,[spl61_25])],[avatar_definition]) ).
fof(f790,plain,
( ~ neq(sF57,nil)
| spl61_25 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f791,plain,
( ~ spl61_24
| ~ spl61_25
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9
| ~ spl61_10 ),
inference(avatar_split_clause,[],[f782,f597,f591,f574,f570,f566,f788,f784]) ).
fof(f819,plain,
( ! [X0] :
( segmentP(app(sF57,X0),sF57)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sF57)
| ~ ssList(app(sF57,X0)) )
| ~ spl61_5 ),
inference(superposition,[],[f514,f711]) ).
fof(f821,plain,
( ! [X0] :
( segmentP(app(sF57,X0),sF57)
| ~ ssList(X0)
| ~ ssList(sF57)
| ~ ssList(app(sF57,X0)) )
| ~ spl61_5
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f819,f598]) ).
fof(f822,plain,
( ! [X0] :
( segmentP(app(sF57,X0),sF57)
| ~ ssList(X0)
| ~ ssList(app(sF57,X0)) )
| ~ spl61_5
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f821,f575]) ).
fof(f823,plain,
( segmentP(sF60,sF57)
| ~ ssList(sF59)
| ~ ssList(sF60)
| ~ spl61_5
| ~ spl61_10 ),
inference(superposition,[],[f822,f547]) ).
fof(f824,plain,
( segmentP(sF60,sF57)
| ~ ssList(sF60)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_10 ),
inference(forward_subsumption_resolution,[],[f823,f571]) ).
fof(f825,plain,
( segmentP(sK55,sF57)
| ~ ssList(sF60)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_10 ),
inference(forward_demodulation,[],[f824,f580]) ).
fof(f826,plain,
( ~ ssList(sF60)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_10
| spl61_24 ),
inference(forward_subsumption_resolution,[],[f825,f786]) ).
fof(f827,plain,
( ~ ssList(sK55)
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_10
| spl61_24 ),
inference(forward_demodulation,[],[f826,f580]) ).
fof(f828,plain,
( $false
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_10
| spl61_24 ),
inference(forward_subsumption_resolution,[],[f827,f508]) ).
fof(f829,plain,
( ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_10
| spl61_24 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f830,plain,
( nil = sF57
| ~ ssList(nil)
| ~ ssList(sF57)
| spl61_25 ),
inference(resolution,[],[f790,f386]) ).
fof(f831,plain,
( nil = sF57
| ~ ssList(sF57)
| ~ spl61_10
| spl61_25 ),
inference(forward_subsumption_resolution,[],[f830,f598]) ).
fof(f832,plain,
( nil = sF57
| ~ spl61_5
| ~ spl61_10
| spl61_25 ),
inference(forward_subsumption_resolution,[],[f831,f575]) ).
fof(f833,plain,
( spl61_18
| ~ spl61_5
| ~ spl61_10
| spl61_25 ),
inference(avatar_split_clause,[],[f832,f788,f597,f574,f655]) ).
fof(f834,plain,
( sF60 = app(nil,sF59)
| ~ spl61_18 ),
inference(superposition,[],[f547,f657]) ).
fof(f838,plain,
( sK56 = app(sF59,nil)
| ~ spl61_3
| ~ spl61_5
| spl61_9
| ~ spl61_18 ),
inference(superposition,[],[f773,f657]) ).
fof(f844,plain,
( sK56 = sF59
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9
| ~ spl61_18 ),
inference(forward_demodulation,[],[f838,f720]) ).
fof(f846,plain,
( sF59 = sF60
| ~ spl61_4
| ~ spl61_18 ),
inference(forward_demodulation,[],[f834,f712]) ).
fof(f847,plain,
( sK55 = sF59
| ~ spl61_4
| ~ spl61_6
| ~ spl61_18 ),
inference(forward_demodulation,[],[f846,f580]) ).
fof(f848,plain,
( sK55 = sK56
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_9
| ~ spl61_18 ),
inference(forward_demodulation,[],[f847,f844]) ).
fof(f852,plain,
( ~ segmentP(sK56,sK56)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_9
| ~ spl61_18
| spl61_19 ),
inference(superposition,[],[f665,f848]) ).
fof(f857,plain,
( segmentP(sK56,sF59)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_9
| ~ spl61_10
| ~ spl61_18 ),
inference(superposition,[],[f739,f848]) ).
fof(f859,plain,
( segmentP(sK56,sK56)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_9
| ~ spl61_10
| ~ spl61_18 ),
inference(forward_demodulation,[],[f857,f844]) ).
fof(f862,plain,
( $false
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_9
| ~ spl61_10
| ~ spl61_18
| spl61_19 ),
inference(forward_subsumption_resolution,[],[f859,f852]) ).
fof(f863,plain,
( ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_9
| ~ spl61_10
| ~ spl61_18
| spl61_19 ),
inference(avatar_contradiction_clause,[],[f862]) ).
cnf(s1,plain,
( ~ spl61_1
| ~ spl61_2
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_6
| ~ spl61_7 ),
inference(sat_conversion,[],[f585]) ).
cnf(s2,plain,
( ~ spl61_8
| ~ spl61_9 ),
inference(sat_conversion,[],[f594]) ).
cnf(s3,plain,
( spl61_8
| ~ spl61_9 ),
inference(sat_conversion,[],[f595]) ).
cnf(s11,plain,
spl61_10,
inference(sat_conversion,[],[f625]) ).
cnf(s13,plain,
( spl61_3
| spl61_9 ),
inference(sat_conversion,[],[f643]) ).
cnf(s14,plain,
( spl61_5
| spl61_9 ),
inference(sat_conversion,[],[f648]) ).
cnf(s16,plain,
( ~ spl61_1
| ~ spl61_19 ),
inference(sat_conversion,[],[f666]) ).
cnf(s17,plain,
( spl61_1
| spl61_9
| ~ spl61_10 ),
inference(sat_conversion,[],[f671]) ).
cnf(s18,plain,
( ~ spl61_3
| spl61_4
| ~ spl61_10 ),
inference(sat_conversion,[],[f679]) ).
cnf(s20,plain,
( spl61_2
| spl61_9
| ~ spl61_10 ),
inference(sat_conversion,[],[f694]) ).
cnf(s21,plain,
( ~ spl61_4
| ~ spl61_5
| spl61_7 ),
inference(sat_conversion,[],[f700]) ).
cnf(s24,plain,
( ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| spl61_9
| ~ spl61_10
| ~ spl61_24
| ~ spl61_25 ),
inference(sat_conversion,[],[f791]) ).
cnf(s25,plain,
( ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_10
| spl61_24 ),
inference(sat_conversion,[],[f829]) ).
cnf(s26,plain,
( ~ spl61_5
| ~ spl61_10
| spl61_18
| spl61_25 ),
inference(sat_conversion,[],[f833]) ).
cnf(s27,plain,
( ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| spl61_9
| ~ spl61_10
| ~ spl61_18
| spl61_19 ),
inference(sat_conversion,[],[f863]) ).
cnf(s31,plain,
~ spl61_9,
inference(rat,[],[s2,s3]) ).
cnf(s32,plain,
spl61_2,
inference(rat,[],[s20,s11,s31]) ).
cnf(s33,plain,
spl61_1,
inference(rat,[],[s17,s11,s31]) ).
cnf(s34,plain,
spl61_5,
inference(rat,[],[s14,s31]) ).
cnf(s35,plain,
spl61_3,
inference(rat,[],[s13,s31]) ).
cnf(s36,plain,
~ spl61_19,
inference(rat,[],[s16,s33]) ).
cnf(s38,plain,
spl61_4,
inference(rat,[],[s18,s11,s35]) ).
cnf(s40,plain,
spl61_7,
inference(rat,[],[s21,s34,s38]) ).
cnf(s41,plain,
spl61_6,
inference(rat,[],[s1,s40,s34,s35,s32,s33,s38]) ).
cnf(s42,plain,
spl61_24,
inference(rat,[],[s25,s34,s11,s38,s41]) ).
cnf(s43,plain,
~ spl61_18,
inference(rat,[],[s27,s36,s31,s11,s34,s38,s35,s41]) ).
cnf(s44,plain,
~ spl61_25,
inference(rat,[],[s24,s35,s34,s11,s38,s31,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s26,s34,s11,s43,s44]) ).
fof(f867,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC072+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:42:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.40/1.58 % (3804886)Detected formulas, will run a generic FOF schedule.
% 4.40/1.58 % (3804891)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=935566488:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.40/1.58 % (3804895)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1924633336:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.40/1.58 % (3804894)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4160929272:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.40/1.58 % (3804897)dis-21_1_sil=8000:lcm=predicate:random_seed=1752592877: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)
% 4.40/1.58 % (3804893)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=3379878831:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.40/1.58 % (3804892)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=2531437916:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.40/1.58 % (3804896)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=234458942:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.40/1.58 % (3804894)Instruction limit reached!
% 4.40/1.58 % (3804894)------------------------------
% 4.40/1.58 % (3804894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804894)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804894)Termination reason: Instruction limit
% 4.40/1.58 % (3804894)Termination phase: Saturation
% 4.40/1.58 % (3804894)Time elapsed: 0.058 s
% 4.40/1.58 % (3804894)Peak memory usage: 89 MB
% 4.40/1.58 % (3804894)Instructions burned: 111 (million)
% 4.40/1.58 % (3804895)Instruction limit reached!
% 4.40/1.58 % (3804895)------------------------------
% 4.40/1.58 % (3804895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804895)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804895)Termination reason: Instruction limit
% 4.40/1.58 % (3804895)Termination phase: Saturation
% 4.40/1.58 % (3804895)Time elapsed: 0.067 s
% 4.40/1.58 % (3804895)Peak memory usage: 88 MB
% 4.40/1.58 % (3804895)Instructions burned: 120 (million)
% 4.40/1.58 % (3804897)Instruction limit reached!
% 4.40/1.58 % (3804897)------------------------------
% 4.40/1.58 % (3804897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804897)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804897)Termination reason: Instruction limit
% 4.40/1.58 % (3804897)Termination phase: Saturation
% 4.40/1.58 % (3804897)Time elapsed: 0.078 s
% 4.40/1.58 % (3804897)Peak memory usage: 90 MB
% 4.40/1.58 % (3804897)Instructions burned: 130 (million)
% 4.40/1.58 % (3804896)Instruction limit reached!
% 4.40/1.58 % (3804896)------------------------------
% 4.40/1.58 % (3804896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804896)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804896)Termination reason: Instruction limit
% 4.40/1.58 % (3804896)Termination phase: Saturation
% 4.40/1.58 % (3804896)Time elapsed: 0.093 s
% 4.40/1.58 % (3804896)Peak memory usage: 90 MB
% 4.40/1.58 % (3804896)Instructions burned: 139 (million)
% 4.40/1.58 % (3804905)lrs+10_1_sil=8000:sp=occurrence:random_seed=2396040683:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.40/1.58 % (3804906)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3804938565:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.40/1.58 % (3804907)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4077315826:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.40/1.58 % (3804908)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=4048689312:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.40/1.58 % (3804906)Instruction limit reached!
% 4.40/1.58 % (3804906)------------------------------
% 4.40/1.58 % (3804906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804906)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804906)Termination reason: Instruction limit
% 4.40/1.58 % (3804906)Termination phase: Saturation
% 4.40/1.58 % (3804906)Time elapsed: 0.084 s
% 4.40/1.58 % (3804906)Peak memory usage: 94 MB
% 4.40/1.58 % (3804906)Instructions burned: 159 (million)
% 4.40/1.58 % (3804908)Instruction limit reached!
% 4.40/1.58 % (3804908)------------------------------
% 4.40/1.58 % (3804908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804908)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804908)Termination reason: Instruction limit
% 4.40/1.58 % (3804908)Termination phase: Saturation
% 4.40/1.58 % (3804908)Time elapsed: 0.119 s
% 4.40/1.58 % (3804908)Peak memory usage: 94 MB
% 4.40/1.58 % (3804908)Instructions burned: 249 (million)
% 4.40/1.58 % (3804905)Instruction limit reached!
% 4.40/1.58 % (3804905)------------------------------
% 4.40/1.58 % (3804905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804905)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804905)Termination reason: Instruction limit
% 4.40/1.58 % (3804905)Termination phase: Saturation
% 4.40/1.58 % (3804905)Time elapsed: 0.160 s
% 4.40/1.58 % (3804905)Peak memory usage: 92 MB
% 4.40/1.58 % (3804905)Instructions burned: 285 (million)
% 4.40/1.58 % (3804891)First to succeed.
% 4.40/1.58 % (3804891)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3804886"
% 4.40/1.58 % (3804907)Instruction limit reached!
% 4.40/1.58 % (3804907)------------------------------
% 4.40/1.58 % (3804907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804907)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804907)Termination reason: Instruction limit
% 4.40/1.58 % (3804907)Termination phase: Saturation
% 4.40/1.58 % (3804907)Time elapsed: 0.194 s
% 4.40/1.58 % (3804907)Peak memory usage: 92 MB
% 4.40/1.58 % (3804907)Instructions burned: 326 (million)
% 4.40/1.58 % (3804913)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1373982422:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.40/1.58 % (3804915)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=487383551:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.40/1.58 % (3804914)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2321630397:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.40/1.58 % (3804917)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=447138141:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.40/1.58 % (3804915)Instruction limit reached!
% 4.40/1.58 % (3804915)------------------------------
% 4.40/1.58 % (3804915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804915)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804915)Termination reason: Instruction limit
% 4.40/1.58 % (3804915)Termination phase: Saturation
% 4.40/1.58 % (3804915)Time elapsed: 0.075 s
% 4.40/1.58 % (3804915)Peak memory usage: 90 MB
% 4.40/1.58 % (3804915)Instructions burned: 113 (million)
% 4.40/1.58 % (3804913)Instruction limit reached!
% 4.40/1.58 % (3804913)------------------------------
% 4.40/1.58 % (3804913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (3804913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (3804913)CaDiCaL version: 2.1.3
% 4.40/1.58 % (3804913)Termination reason: Instruction limit
% 4.40/1.58 % (3804913)Termination phase: Saturation
% 4.40/1.58 % (3804913)Time elapsed: 0.157 s
% 4.40/1.58 % (3804913)Peak memory usage: 89 MB
% 4.40/1.58 % (3804913)Instructions burned: 296 (million)
% 4.40/1.58 % (3804891)Refutation found. Thanks to Tanya!
% 4.40/1.58 % SZS status Theorem for theBenchmark
% 4.40/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.56/1.68 % (3804891)------------------------------
% 5.56/1.68 % (3804891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.68 % (3804891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.68 % (3804891)CaDiCaL version: 2.1.3
% 5.56/1.68 % (3804891)Termination reason: Refutation
% 5.56/1.68 % (3804891)Time elapsed: 0.439 s
% 5.56/1.68 % (3804891)Peak memory usage: 131 MB
% 5.56/1.68 % (3804891)Instructions burned: 1021 (million)
% 5.56/1.68 % (3804891)------------------------------
% 5.56/1.68 % (3804891)------------------------------
% 5.56/1.68 % (3804886)Success in time 0.725 s
% 5.56/1.68 % Vampire exiting
%------------------------------------------------------------------------------