%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC396+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:48 PM UTC 2026
% Result : Theorem 4.65s 1.35s
% Output : Refutation 5.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 197 ( 39 unt; 18 def)
% Number of atoms : 737 ( 130 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 935 ( 395 ~; 425 |; 66 &)
% ( 20 <=>; 29 =>; 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 : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 116 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) )
| ( nil != X2
& nil = X3 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& X3 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X2) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X2) = X8
& neq(nil,X2) )
& neq(nil,X2) ) ) ) ) ) ) ) ) ) ),
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
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) )
| ( nil != X2
& nil = X3 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X5] :
( ssList(X5)
& X3 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X2) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X2) = X8
& neq(nil,X2) )
& neq(nil,X2) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
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(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
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(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X5] :
( ~ ssList(X5)
| X3 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X2) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X2) != X8
| ~ neq(nil,X2) )
| ~ neq(nil,X2) ) ) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X5] :
( ~ ssList(X5)
| X3 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X2) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X2) != X8
| ~ neq(nil,X2) )
| ~ neq(nil,X2) ) ) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f146]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f277]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f279]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& memberP(sK53,sK57)
& ~ memberP(sK54,sK57)
& ssItem(sK57)
& ( nil = sK55
| nil != sK56 )
& ( ~ neq(sK56,nil)
| ( neq(sK55,nil)
& ! [X5] :
( ~ ssList(X5)
| sK56 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(sK55) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK55) != X8
| ~ neq(nil,sK55) )
| ~ neq(nil,sK55) ) ) ) ) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57)],[f222]) ).
fof(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(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f414,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f415,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f418,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f474,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
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] :
( ~ neq(sK56,nil)
| ~ ssList(X5)
| sK56 = X5
| ~ ssList(X6)
| ~ ssList(X7)
| tl(sK55) != X6
| app(X6,X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK55) != X8
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( nil = sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
~ memberP(sK54,sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
memberP(sK53,sK57),
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,
memberP(sK55,sK57),
inference(definition_unfolding,[],[f505,f506]) ).
fof(f509,plain,
~ memberP(sK56,sK57),
inference(definition_unfolding,[],[f504,f507]) ).
fof(f510,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f507]) ).
fof(f511,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f506]) ).
fof(f527,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f418]) ).
fof(f539,plain,
! [X8,X7,X5] :
( ~ neq(sK56,nil)
| ~ ssList(X5)
| sK56 = X5
| ~ ssList(tl(sK55))
| ~ ssList(X7)
| app(tl(sK55),X7) != X5
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK55) != X8
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(equality_resolution,[],[f500]) ).
fof(f540,plain,
! [X8,X7] :
( ~ neq(sK56,nil)
| ~ ssList(app(tl(sK55),X7))
| sK56 = app(tl(sK55),X7)
| ~ ssList(tl(sK55))
| ~ ssList(X7)
| ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(sK55) != X8
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(equality_resolution,[],[f539]) ).
fof(f541,plain,
! [X8] :
( ~ neq(sK56,nil)
| ~ ssList(app(tl(sK55),cons(X8,nil)))
| sK56 = app(tl(sK55),cons(X8,nil))
| ~ ssList(tl(sK55))
| ~ ssList(cons(X8,nil))
| ~ ssItem(X8)
| hd(sK55) != X8
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(equality_resolution,[],[f540]) ).
fof(f542,plain,
( ~ neq(sK56,nil)
| ~ ssList(app(tl(sK55),cons(hd(sK55),nil)))
| sK56 = app(tl(sK55),cons(hd(sK55),nil))
| ~ ssList(tl(sK55))
| ~ ssList(cons(hd(sK55),nil))
| ~ ssItem(hd(sK55))
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(equality_resolution,[],[f541]) ).
fof(f543,definition,
sF58 = tl(sK55),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f544,plain,
tl(sK55) = sF58,
inference(reorient_equations,[],[f543]) ).
fof(f545,definition,
sF59 = hd(sK55),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
fof(f546,plain,
hd(sK55) = sF59,
inference(reorient_equations,[],[f545]) ).
fof(f547,definition,
sF60 = cons(sF59,nil),
introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).
fof(f548,plain,
cons(sF59,nil) = sF60,
inference(reorient_equations,[],[f547]) ).
fof(f549,definition,
sF61 = app(sF58,sF60),
introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).
fof(f550,plain,
app(sF58,sF60) = sF61,
inference(reorient_equations,[],[f549]) ).
fof(f551,plain,
( ~ neq(sK56,nil)
| ~ ssList(sF61)
| sK56 = sF61
| ~ ssList(sF58)
| ~ ssList(sF60)
| ~ ssItem(sF59)
| ~ neq(nil,sK55)
| ~ neq(nil,sK55) ),
inference(definition_folding,[],[f542,f546,f548,f546,f544,f550,f548,f546,f544,f550,f548,f546,f544]) ).
fof(f552,plain,
( ~ neq(sK56,nil)
| ~ ssList(sF61)
| sK56 = sF61
| ~ ssList(sF58)
| ~ ssList(sF60)
| ~ ssItem(sF59)
| ~ neq(nil,sK55) ),
inference(duplicate_literal_removal,[],[f551]) ).
fof(f556,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f527]) ).
fof(f561,definition,
( spl62_1
<=> neq(nil,sK55) ),
introduced(definition,[new_symbols(definition,[spl62_1])],[avatar_definition]) ).
fof(f563,plain,
( ~ neq(nil,sK55)
| spl62_1 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f565,definition,
( spl62_2
<=> ssItem(sF59) ),
introduced(definition,[new_symbols(definition,[spl62_2])],[avatar_definition]) ).
fof(f566,plain,
( ssItem(sF59)
| ~ spl62_2 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f567,plain,
( ~ ssItem(sF59)
| spl62_2 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f569,definition,
( spl62_3
<=> ssList(sF60) ),
introduced(definition,[new_symbols(definition,[spl62_3])],[avatar_definition]) ).
fof(f570,plain,
( ssList(sF60)
| ~ spl62_3 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f571,plain,
( ~ ssList(sF60)
| spl62_3 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f573,definition,
( spl62_4
<=> ssList(sF58) ),
introduced(definition,[new_symbols(definition,[spl62_4])],[avatar_definition]) ).
fof(f574,plain,
( ssList(sF58)
| ~ spl62_4 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f577,definition,
( spl62_5
<=> sK56 = sF61 ),
introduced(definition,[new_symbols(definition,[spl62_5])],[avatar_definition]) ).
fof(f579,plain,
( sK56 = sF61
| ~ spl62_5 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f581,definition,
( spl62_6
<=> ssList(sF61) ),
introduced(definition,[new_symbols(definition,[spl62_6])],[avatar_definition]) ).
fof(f585,definition,
( spl62_7
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl62_7])],[avatar_definition]) ).
fof(f587,plain,
( ~ neq(sK56,nil)
| spl62_7 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,plain,
( ~ spl62_1
| ~ spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_5
| ~ spl62_6
| ~ spl62_7 ),
inference(avatar_split_clause,[],[f552,f585,f581,f577,f573,f569,f565,f561]) ).
fof(f595,definition,
( spl62_9
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl62_9])],[avatar_definition]) ).
fof(f597,plain,
( nil != sK56
| spl62_9 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f599,definition,
( spl62_10
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl62_10])],[avatar_definition]) ).
fof(f600,plain,
( nil != sK55
| spl62_10 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f601,plain,
( nil = sK55
| ~ spl62_10 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f602,plain,
( ~ spl62_9
| spl62_10 ),
inference(avatar_split_clause,[],[f502,f599,f595]) ).
fof(f604,definition,
( spl62_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl62_11])],[avatar_definition]) ).
fof(f605,plain,
( ssList(nil)
| ~ spl62_11 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f632,plain,
spl62_11,
inference(avatar_split_clause,[],[f389,f604]) ).
fof(f635,plain,
! [X0] :
( memberP(sF61,X0)
| ~ memberP(sF60,X0)
| ~ ssList(sF60)
| ~ ssList(sF58)
| ~ ssItem(X0) ),
inference(superposition,[],[f414,f550]) ).
fof(f637,definition,
( spl62_17
<=> ! [X0] :
( memberP(sF61,X0)
| ~ ssItem(X0)
| ~ memberP(sF60,X0) ) ),
introduced(definition,[new_symbols(definition,[spl62_17])],[avatar_definition]) ).
fof(f638,plain,
( ! [X0] :
( ~ memberP(sF60,X0)
| ~ ssItem(X0)
| memberP(sF61,X0) )
| ~ spl62_17 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f639,plain,
( ~ spl62_4
| ~ spl62_3
| spl62_17 ),
inference(avatar_split_clause,[],[f635,f637,f569,f573]) ).
fof(f640,plain,
! [X0] :
( memberP(sF61,X0)
| ~ memberP(sF58,X0)
| ~ ssList(sF60)
| ~ ssList(sF58)
| ~ ssItem(X0) ),
inference(superposition,[],[f415,f550]) ).
fof(f648,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl62_7 ),
inference(resolution,[],[f387,f587]) ).
fof(f649,plain,
( ~ ssList(nil)
| ~ ssList(sK56)
| spl62_7
| spl62_9 ),
inference(forward_subsumption_resolution,[],[f648,f597]) ).
fof(f650,plain,
( ~ ssList(sK56)
| spl62_7
| spl62_9
| ~ spl62_11 ),
inference(forward_subsumption_resolution,[],[f649,f605]) ).
fof(f651,plain,
( $false
| spl62_7
| spl62_9
| ~ spl62_11 ),
inference(forward_subsumption_resolution,[],[f650,f510]) ).
fof(f652,plain,
( spl62_7
| spl62_9
| ~ spl62_11 ),
inference(avatar_contradiction_clause,[],[f651]) ).
fof(f655,plain,
( nil = sK55
| sK55 = cons(hd(sK55),tl(sK55)) ),
inference(resolution,[],[f511,f474]) ).
fof(f656,plain,
( sK55 = cons(hd(sK55),sF58)
| nil = sK55 ),
inference(forward_demodulation,[],[f655,f544]) ).
fof(f657,plain,
( sK55 = cons(sF59,sF58)
| nil = sK55 ),
inference(forward_demodulation,[],[f656,f546]) ).
fof(f659,definition,
( spl62_19
<=> sK55 = cons(sF59,sF58) ),
introduced(definition,[new_symbols(definition,[spl62_19])],[avatar_definition]) ).
fof(f661,plain,
( sK55 = cons(sF59,sF58)
| ~ spl62_19 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f662,plain,
( spl62_10
| spl62_19 ),
inference(avatar_split_clause,[],[f657,f659,f599]) ).
fof(f667,plain,
( memberP(nil,sK57)
| ~ spl62_10 ),
inference(superposition,[],[f508,f601]) ).
fof(f674,plain,
( ~ ssItem(sK57)
| ~ spl62_10 ),
inference(resolution,[],[f419,f667]) ).
fof(f675,plain,
( $false
| ~ spl62_10 ),
inference(forward_subsumption_resolution,[],[f674,f503]) ).
fof(f676,plain,
~ spl62_10,
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f678,plain,
( ssList(sF60)
| ~ ssItem(sF59)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f548]) ).
fof(f681,plain,
( ssList(sF58)
| nil = sK55
| ~ ssList(sK55) ),
inference(superposition,[],[f399,f544]) ).
fof(f682,plain,
( ssList(sF58)
| ~ ssList(sK55)
| spl62_10 ),
inference(forward_subsumption_resolution,[],[f681,f600]) ).
fof(f683,plain,
( ssList(sF58)
| spl62_10 ),
inference(forward_subsumption_resolution,[],[f682,f511]) ).
fof(f684,plain,
( spl62_4
| spl62_10 ),
inference(avatar_split_clause,[],[f683,f599,f573]) ).
fof(f696,plain,
( ssList(sF61)
| ~ ssList(sF60)
| ~ ssList(sF58) ),
inference(superposition,[],[f401,f550]) ).
fof(f705,plain,
( memberP(sF60,sF59)
| ~ ssList(nil)
| ~ ssItem(sF59) ),
inference(superposition,[],[f556,f548]) ).
fof(f707,plain,
( ssItem(sF59)
| nil = sK55
| ~ ssList(sK55) ),
inference(superposition,[],[f397,f546]) ).
fof(f708,plain,
( nil = sK55
| ~ ssList(sK55)
| spl62_2 ),
inference(forward_subsumption_resolution,[],[f707,f567]) ).
fof(f709,plain,
( ~ ssList(sK55)
| spl62_2
| spl62_10 ),
inference(forward_subsumption_resolution,[],[f708,f600]) ).
fof(f710,plain,
( $false
| spl62_2
| spl62_10 ),
inference(forward_subsumption_resolution,[],[f709,f511]) ).
fof(f711,plain,
( spl62_2
| spl62_10 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f712,plain,
( ~ ssItem(sF59)
| ~ ssList(nil)
| spl62_3 ),
inference(forward_subsumption_resolution,[],[f678,f571]) ).
fof(f713,plain,
( memberP(sF60,sF59)
| ~ ssItem(sF59)
| ~ spl62_11 ),
inference(forward_subsumption_resolution,[],[f705,f605]) ).
fof(f714,plain,
( ~ ssList(nil)
| ~ spl62_2
| spl62_3 ),
inference(forward_subsumption_resolution,[],[f712,f566]) ).
fof(f715,plain,
( memberP(sF60,sF59)
| ~ spl62_2
| ~ spl62_11 ),
inference(forward_subsumption_resolution,[],[f713,f566]) ).
fof(f716,plain,
( $false
| ~ spl62_2
| spl62_3
| ~ spl62_11 ),
inference(forward_subsumption_resolution,[],[f714,f605]) ).
fof(f717,plain,
( ~ spl62_2
| spl62_3
| ~ spl62_11 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f718,plain,
( ! [X0] :
( memberP(sF61,X0)
| ~ memberP(sF58,X0)
| ~ ssList(sF58)
| ~ ssItem(X0) )
| ~ spl62_3 ),
inference(forward_subsumption_resolution,[],[f640,f570]) ).
fof(f720,plain,
( ssList(sF61)
| ~ ssList(sF58)
| ~ spl62_3 ),
inference(forward_subsumption_resolution,[],[f696,f570]) ).
fof(f721,plain,
( ! [X0] :
( ~ memberP(sF58,X0)
| memberP(sF61,X0)
| ~ ssItem(X0) )
| ~ spl62_3
| ~ spl62_4 ),
inference(forward_subsumption_resolution,[],[f718,f574]) ).
fof(f723,plain,
( ssList(sF61)
| ~ spl62_3
| ~ spl62_4 ),
inference(forward_subsumption_resolution,[],[f720,f574]) ).
fof(f724,plain,
( spl62_6
| ~ spl62_3
| ~ spl62_4 ),
inference(avatar_split_clause,[],[f723,f573,f569,f581]) ).
fof(f726,plain,
( nil = sK55
| ~ ssList(sK55)
| ~ ssList(nil)
| spl62_1 ),
inference(resolution,[],[f563,f387]) ).
fof(f727,plain,
( ~ ssList(sK55)
| ~ ssList(nil)
| spl62_1
| spl62_10 ),
inference(forward_subsumption_resolution,[],[f726,f600]) ).
fof(f729,plain,
( ~ ssList(nil)
| spl62_1
| spl62_10 ),
inference(forward_subsumption_resolution,[],[f727,f511]) ).
fof(f739,plain,
( $false
| spl62_1
| spl62_10
| ~ spl62_11 ),
inference(forward_subsumption_resolution,[],[f729,f605]) ).
fof(f740,plain,
( spl62_1
| spl62_10
| ~ spl62_11 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f754,plain,
( ~ ssItem(sF59)
| memberP(sF61,sF59)
| ~ spl62_2
| ~ spl62_11
| ~ spl62_17 ),
inference(resolution,[],[f715,f638]) ).
fof(f755,plain,
( memberP(sF61,sF59)
| ~ spl62_2
| ~ spl62_11
| ~ spl62_17 ),
inference(forward_subsumption_resolution,[],[f754,f566]) ).
fof(f756,plain,
( memberP(sK56,sF59)
| ~ spl62_2
| ~ spl62_5
| ~ spl62_11
| ~ spl62_17 ),
inference(forward_demodulation,[],[f755,f579]) ).
fof(f780,plain,
( ! [X0] :
( ~ memberP(sK55,X0)
| memberP(sF58,X0)
| sF59 = X0
| ~ ssList(sF58)
| ~ ssItem(sF59)
| ~ ssItem(X0) )
| ~ spl62_19 ),
inference(superposition,[],[f416,f661]) ).
fof(f781,plain,
( ! [X0] :
( ~ memberP(sK55,X0)
| memberP(sF58,X0)
| sF59 = X0
| ~ ssItem(sF59)
| ~ ssItem(X0) )
| ~ spl62_4
| ~ spl62_19 ),
inference(forward_subsumption_resolution,[],[f780,f574]) ).
fof(f783,plain,
( ! [X0] :
( ~ memberP(sK55,X0)
| memberP(sF58,X0)
| sF59 = X0
| ~ ssItem(X0) )
| ~ spl62_2
| ~ spl62_4
| ~ spl62_19 ),
inference(forward_subsumption_resolution,[],[f781,f566]) ).
fof(f785,plain,
( memberP(sF58,sK57)
| sK57 = sF59
| ~ ssItem(sK57)
| ~ spl62_2
| ~ spl62_4
| ~ spl62_19 ),
inference(resolution,[],[f783,f508]) ).
fof(f786,plain,
( memberP(sF58,sK57)
| sK57 = sF59
| ~ spl62_2
| ~ spl62_4
| ~ spl62_19 ),
inference(forward_subsumption_resolution,[],[f785,f503]) ).
fof(f788,definition,
( spl62_26
<=> sK57 = sF59 ),
introduced(definition,[new_symbols(definition,[spl62_26])],[avatar_definition]) ).
fof(f790,plain,
( sK57 = sF59
| ~ spl62_26 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f792,definition,
( spl62_27
<=> memberP(sF58,sK57) ),
introduced(definition,[new_symbols(definition,[spl62_27])],[avatar_definition]) ).
fof(f794,plain,
( memberP(sF58,sK57)
| ~ spl62_27 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f795,plain,
( spl62_26
| spl62_27
| ~ spl62_2
| ~ spl62_4
| ~ spl62_19 ),
inference(avatar_split_clause,[],[f786,f659,f573,f565,f792,f788]) ).
fof(f797,plain,
( memberP(sK56,sK57)
| ~ spl62_2
| ~ spl62_5
| ~ spl62_11
| ~ spl62_17
| ~ spl62_26 ),
inference(superposition,[],[f756,f790]) ).
fof(f801,plain,
( $false
| ~ spl62_2
| ~ spl62_5
| ~ spl62_11
| ~ spl62_17
| ~ spl62_26 ),
inference(forward_subsumption_resolution,[],[f797,f509]) ).
fof(f802,plain,
( ~ spl62_2
| ~ spl62_5
| ~ spl62_11
| ~ spl62_17
| ~ spl62_26 ),
inference(avatar_contradiction_clause,[],[f801]) ).
fof(f803,plain,
( memberP(sF61,sK57)
| ~ ssItem(sK57)
| ~ spl62_3
| ~ spl62_4
| ~ spl62_27 ),
inference(resolution,[],[f794,f721]) ).
fof(f804,plain,
( memberP(sF61,sK57)
| ~ spl62_3
| ~ spl62_4
| ~ spl62_27 ),
inference(forward_subsumption_resolution,[],[f803,f503]) ).
fof(f805,plain,
( memberP(sK56,sK57)
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_27 ),
inference(forward_demodulation,[],[f804,f579]) ).
fof(f806,plain,
( $false
| ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_27 ),
inference(forward_subsumption_resolution,[],[f805,f509]) ).
fof(f807,plain,
( ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_27 ),
inference(avatar_contradiction_clause,[],[f806]) ).
cnf(s1,plain,
( ~ spl62_1
| ~ spl62_2
| ~ spl62_3
| ~ spl62_4
| spl62_5
| ~ spl62_6
| ~ spl62_7 ),
inference(sat_conversion,[],[f588]) ).
cnf(s3,plain,
( ~ spl62_9
| spl62_10 ),
inference(sat_conversion,[],[f602]) ).
cnf(s11,plain,
spl62_11,
inference(sat_conversion,[],[f632]) ).
cnf(s12,plain,
( ~ spl62_3
| ~ spl62_4
| spl62_17 ),
inference(sat_conversion,[],[f639]) ).
cnf(s14,plain,
( spl62_7
| spl62_9
| ~ spl62_11 ),
inference(sat_conversion,[],[f652]) ).
cnf(s15,plain,
( spl62_10
| spl62_19 ),
inference(sat_conversion,[],[f662]) ).
cnf(s16,plain,
~ spl62_10,
inference(sat_conversion,[],[f676]) ).
cnf(s17,plain,
( spl62_4
| spl62_10 ),
inference(sat_conversion,[],[f684]) ).
cnf(s19,plain,
( spl62_2
| spl62_10 ),
inference(sat_conversion,[],[f711]) ).
cnf(s20,plain,
( ~ spl62_2
| spl62_3
| ~ spl62_11 ),
inference(sat_conversion,[],[f717]) ).
cnf(s21,plain,
( ~ spl62_3
| ~ spl62_4
| spl62_6 ),
inference(sat_conversion,[],[f724]) ).
cnf(s23,plain,
( spl62_1
| spl62_10
| ~ spl62_11 ),
inference(sat_conversion,[],[f740]) ).
cnf(s25,plain,
( ~ spl62_2
| ~ spl62_4
| ~ spl62_19
| spl62_26
| spl62_27 ),
inference(sat_conversion,[],[f795]) ).
cnf(s26,plain,
( ~ spl62_2
| ~ spl62_5
| ~ spl62_11
| ~ spl62_17
| ~ spl62_26 ),
inference(sat_conversion,[],[f802]) ).
cnf(s27,plain,
( ~ spl62_3
| ~ spl62_4
| ~ spl62_5
| ~ spl62_27 ),
inference(sat_conversion,[],[f807]) ).
cnf(s28,plain,
spl62_2,
inference(rat,[],[s19,s16]) ).
cnf(s29,plain,
spl62_4,
inference(rat,[],[s17,s16]) ).
cnf(s30,plain,
spl62_19,
inference(rat,[],[s15,s16]) ).
cnf(s32,plain,
( ~ spl62_3
| spl62_17 ),
inference(rat,[],[s12,s29]) ).
cnf(s33,plain,
spl62_1,
inference(rat,[],[s23,s16,s11]) ).
cnf(s34,plain,
spl62_3,
inference(rat,[],[s20,s28,s11]) ).
cnf(s36,plain,
spl62_6,
inference(rat,[],[s21,s29,s34]) ).
cnf(s37,plain,
spl62_17,
inference(rat,[],[s32,s34]) ).
cnf(s41,plain,
~ spl62_9,
inference(rat,[],[s3,s16]) ).
cnf(s42,plain,
spl62_7,
inference(rat,[],[s14,s11,s41]) ).
cnf(s44,plain,
spl62_5,
inference(rat,[],[s1,s42,s36,s29,s34,s28,s33]) ).
cnf(s45,plain,
~ spl62_26,
inference(rat,[],[s26,s37,s11,s28,s44]) ).
cnf(s46,plain,
~ spl62_27,
inference(rat,[],[s27,s34,s29,s44]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s25,s30,s29,s28,s46,s45]) ).
fof(f808,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC396+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 09:26:46 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 4.65/1.35 % (666257)Detected formulas, will run a generic FOF schedule.
% 4.65/1.35 % (666262)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=1548807452:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.65/1.35 % (666265)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=95546993:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.65/1.35 % (666263)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=342803080:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.65/1.35 % (666267)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2896608684:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.65/1.35 % (666266)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=50647385:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.65/1.35 % (666264)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=3213019911:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.65/1.35 % (666268)dis-21_1_sil=8000:lcm=predicate:random_seed=2642627309: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)
% 4.65/1.35 % (666265)Instruction limit reached!
% 4.65/1.35 % (666265)------------------------------
% 4.65/1.35 % (666265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666265)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666265)Termination reason: Instruction limit
% 4.65/1.35 % (666265)Termination phase: Saturation
% 4.65/1.35 % (666265)Time elapsed: 0.059 s
% 4.65/1.35 % (666265)Peak memory usage: 89 MB
% 4.65/1.35 % (666265)Instructions burned: 111 (million)
% 4.65/1.35 % (666266)Instruction limit reached!
% 4.65/1.35 % (666266)------------------------------
% 4.65/1.35 % (666266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666266)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666266)Termination reason: Instruction limit
% 4.65/1.35 % (666266)Termination phase: Saturation
% 4.65/1.35 % (666266)Time elapsed: 0.066 s
% 4.65/1.35 % (666266)Peak memory usage: 88 MB
% 4.65/1.35 % (666266)Instructions burned: 120 (million)
% 4.65/1.35 % (666268)Instruction limit reached!
% 4.65/1.35 % (666268)------------------------------
% 4.65/1.35 % (666268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666268)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666268)Termination reason: Instruction limit
% 4.65/1.35 % (666268)Termination phase: Saturation
% 4.65/1.35 % (666268)Time elapsed: 0.070 s
% 4.65/1.35 % (666268)Peak memory usage: 90 MB
% 4.65/1.35 % (666268)Instructions burned: 129 (million)
% 4.65/1.35 % (666267)Instruction limit reached!
% 4.65/1.35 % (666267)------------------------------
% 4.65/1.35 % (666267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666267)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666267)Termination reason: Instruction limit
% 4.65/1.35 % (666267)Termination phase: Saturation
% 4.65/1.35 % (666267)Time elapsed: 0.091 s
% 4.65/1.35 % (666267)Peak memory usage: 90 MB
% 4.65/1.35 % (666267)Instructions burned: 139 (million)
% 4.65/1.35 % (666276)lrs+10_1_sil=8000:sp=occurrence:random_seed=2624460590:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.65/1.35 % (666278)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2413243127:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.65/1.35 % (666277)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2618467530:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.65/1.35 % (666279)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=2374333013:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.65/1.35 % (666277)Instruction limit reached!
% 4.65/1.35 % (666277)------------------------------
% 4.65/1.35 % (666277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666277)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666277)Termination reason: Instruction limit
% 4.65/1.35 % (666277)Termination phase: Saturation
% 4.65/1.35 % (666277)Time elapsed: 0.083 s
% 4.65/1.35 % (666277)Peak memory usage: 94 MB
% 4.65/1.35 % (666277)Instructions burned: 158 (million)
% 4.65/1.35 % (666262)First to succeed.
% 4.65/1.35 % (666262)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-666257"
% 4.65/1.35 % (666276)Instruction limit reached!
% 4.65/1.35 % (666276)------------------------------
% 4.65/1.35 % (666276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666276)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666276)Termination reason: Instruction limit
% 4.65/1.35 % (666276)Termination phase: Saturation
% 4.65/1.35 % (666276)Time elapsed: 0.162 s
% 4.65/1.35 % (666276)Peak memory usage: 92 MB
% 4.65/1.35 % (666276)Instructions burned: 285 (million)
% 4.65/1.35 % (666279)Instruction limit reached!
% 4.65/1.35 % (666279)------------------------------
% 4.65/1.35 % (666279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666279)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666279)Termination reason: Instruction limit
% 4.65/1.35 % (666279)Termination phase: Saturation
% 4.65/1.35 % (666279)Time elapsed: 0.120 s
% 4.65/1.35 % (666279)Peak memory usage: 94 MB
% 4.65/1.35 % (666279)Instructions burned: 250 (million)
% 4.65/1.35 % (666278)Instruction limit reached!
% 4.65/1.35 % (666278)------------------------------
% 4.65/1.35 % (666278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666278)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666278)Termination reason: Instruction limit
% 4.65/1.35 % (666278)Termination phase: Saturation
% 4.65/1.35 % (666278)Time elapsed: 0.202 s
% 4.65/1.35 % (666278)Peak memory usage: 91 MB
% 4.65/1.35 % (666278)Instructions burned: 326 (million)
% 4.65/1.35 % (666284)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3469882139:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.65/1.35 % (666284)Refutation not found, incomplete strategy
% 4.65/1.35 % (666284)------------------------------
% 4.65/1.35 % (666284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.35 % (666284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.35 % (666284)CaDiCaL version: 2.1.3
% 4.65/1.35 % (666284)Termination reason: Refutation not found, incomplete strategy
% 4.65/1.35 % (666284)Time elapsed: 0.008 s
% 4.65/1.35 % (666284)Peak memory usage: 89 MB
% 4.65/1.35 % (666284)Instructions burned: 11 (million)
% 4.65/1.35 % (666285)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=217852525:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.65/1.35 % (666262)Refutation found. Thanks to Tanya!
% 4.65/1.35 % SZS status Theorem for theBenchmark
% 4.65/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.55/1.54 % (666262)------------------------------
% 5.55/1.54 % (666262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.54 % (666262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.54 % (666262)CaDiCaL version: 2.1.3
% 5.55/1.54 % (666262)Termination reason: Refutation
% 5.55/1.54 % (666262)Time elapsed: 0.405 s
% 5.55/1.54 % (666262)Peak memory usage: 131 MB
% 5.55/1.54 % (666262)Instructions burned: 1004 (million)
% 5.55/1.54 % (666262)------------------------------
% 5.55/1.54 % (666262)------------------------------
% 5.55/1.54 % (666257)Success in time 0.707 s
% 5.55/1.54 % Vampire exiting
%------------------------------------------------------------------------------