%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC093+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 : n016.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 01:02:24 PM UTC 2026
% Result : Theorem 6.02s 1.82s
% Output : Refutation 7.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 181 ( 31 unt; 13 def)
% Number of atoms : 729 ( 87 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 989 ( 441 ~; 430 |; 70 &)
% ( 18 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn 132 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
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(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(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
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) )
| ( nil != X2
& nil = X3 )
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X2
| ~ memberP(X3,X5) ) )
& 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) )
| ( nil != X2
& nil = X3 )
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X2
| ~ memberP(X3,X5) ) )
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
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(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(f173,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f173]) ).
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) )
& ( nil = X2
| nil != X3 )
& ( ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5) )
| ~ 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) )
& ( nil = X2
| nil != X3 )
& ( ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5) )
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,cons(X1,X5)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK8(X0,X1))
& ssList(sK9(X0,X1))
& app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).
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) )
& ( nil = sK55
| nil != sK56 )
& ( ( sK55 = cons(sK57,nil)
& memberP(sK56,sK57)
& ssItem(sK57) )
| ~ neq(sK56,nil) )
& 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(X5,sK57)],[f222]) ).
fof(f302,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f303,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(sK8(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f396,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f403,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f440,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f441,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f174]) ).
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,
( ssItem(sK57)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( memberP(sK56,sK57)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( sK55 = cons(sK57,nil)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
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),
inference(definition_unfolding,[],[f505,f507]) ).
fof(f509,plain,
! [X4] :
( ~ segmentP(sK56,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK55,X4) ),
inference(definition_unfolding,[],[f504,f507,f506]) ).
fof(f510,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f507]) ).
fof(f511,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f506]) ).
fof(f517,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(f539,definition,
sF58 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f540,plain,
cons(sK57,nil) = sF58,
inference(reorient_equations,[],[f539]) ).
fof(f541,plain,
( sK55 = sF58
| ~ neq(sK56,nil) ),
inference(definition_folding,[],[f502,f540]) ).
fof(f550,definition,
( spl59_1
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl59_1])],[avatar_definition]) ).
fof(f554,definition,
( spl59_2
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl59_2])],[avatar_definition]) ).
fof(f556,plain,
( ssItem(sK57)
| ~ spl59_2 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,plain,
( ~ spl59_1
| spl59_2 ),
inference(avatar_split_clause,[],[f500,f554,f550]) ).
fof(f559,definition,
( spl59_3
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl59_3])],[avatar_definition]) ).
fof(f561,plain,
( memberP(sK56,sK57)
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,plain,
( ~ spl59_1
| spl59_3 ),
inference(avatar_split_clause,[],[f501,f559,f550]) ).
fof(f564,definition,
( spl59_4
<=> sK55 = sF58 ),
introduced(definition,[new_symbols(definition,[spl59_4])],[avatar_definition]) ).
fof(f566,plain,
( sK55 = sF58
| ~ spl59_4 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( ~ spl59_1
| spl59_4 ),
inference(avatar_split_clause,[],[f541,f564,f550]) ).
fof(f573,definition,
( spl59_6
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl59_6])],[avatar_definition]) ).
fof(f574,plain,
( nil != sK55
| spl59_6 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f577,plain,
spl59_1,
inference(avatar_split_clause,[],[f508,f550]) ).
fof(f579,definition,
( spl59_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl59_7])],[avatar_definition]) ).
fof(f580,plain,
( ssList(nil)
| ~ spl59_7 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f607,plain,
spl59_7,
inference(avatar_split_clause,[],[f389,f579]) ).
fof(f614,plain,
( nil != sF58
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f540]) ).
fof(f615,plain,
( nil != sF58
| ~ ssList(nil)
| ~ spl59_2 ),
inference(forward_subsumption_resolution,[],[f614,f556]) ).
fof(f616,plain,
( nil != sF58
| ~ spl59_2
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f615,f580]) ).
fof(f617,plain,
( nil != sK55
| ~ spl59_2
| ~ spl59_4
| ~ spl59_7 ),
inference(forward_demodulation,[],[f616,f566]) ).
fof(f618,plain,
( ~ spl59_6
| ~ spl59_2
| ~ spl59_4
| ~ spl59_7 ),
inference(avatar_split_clause,[],[f617,f579,f564,f554,f573]) ).
fof(f626,plain,
sK56 = app(sK56,nil),
inference(resolution,[],[f482,f510]) ).
fof(f629,plain,
sK55 = app(nil,sK55),
inference(resolution,[],[f403,f511]) ).
fof(f639,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_3 ),
inference(resolution,[],[f302,f561]) ).
fof(f640,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_3 ),
inference(forward_subsumption_resolution,[],[f639,f556]) ).
fof(f641,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl59_2
| ~ spl59_3 ),
inference(forward_subsumption_resolution,[],[f640,f510]) ).
fof(f643,plain,
! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) ),
inference(superposition,[],[f517,f629]) ).
fof(f644,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f643,f580]) ).
fof(f645,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f644,f511]) ).
fof(f650,definition,
( spl59_13
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl59_13])],[avatar_definition]) ).
fof(f651,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl59_13 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f652,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl59_13 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f654,definition,
( spl59_14
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_14])],[avatar_definition]) ).
fof(f655,plain,
( ssList(sK8(sK56,sK57))
| ~ spl59_14 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( ~ ssList(sK8(sK56,sK57))
| spl59_14 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f661,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl59_13 ),
inference(resolution,[],[f652,f388]) ).
fof(f662,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl59_2
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f661,f556]) ).
fof(f663,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_2
| spl59_13 ),
inference(resolution,[],[f303,f662]) ).
fof(f664,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,sK9(X0,X1)) = app(cons(X2,nil),sK9(X0,X1)) ),
inference(resolution,[],[f303,f477]) ).
fof(f667,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_3
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f663,f561]) ).
fof(f668,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_3
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f667,f556]) ).
fof(f669,plain,
( $false
| ~ spl59_2
| ~ spl59_3
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f668,f510]) ).
fof(f670,plain,
( ~ spl59_2
| ~ spl59_3
| spl59_13 ),
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f671,plain,
( ! [X0] :
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_3 ),
inference(resolution,[],[f664,f561]) ).
fof(f672,plain,
( ! [X0] :
( ~ ssList(sK56)
| ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_2
| ~ spl59_3 ),
inference(forward_subsumption_resolution,[],[f671,f556]) ).
fof(f673,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_2
| ~ spl59_3 ),
inference(forward_subsumption_resolution,[],[f672,f510]) ).
fof(f674,plain,
( cons(sK57,sK9(sK56,sK57)) = app(cons(sK57,nil),sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_3 ),
inference(resolution,[],[f673,f556]) ).
fof(f675,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sF58,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_3 ),
inference(forward_demodulation,[],[f674,f540]) ).
fof(f676,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sK55,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4 ),
inference(forward_demodulation,[],[f675,f566]) ).
fof(f679,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4 ),
inference(superposition,[],[f388,f676]) ).
fof(f680,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ ssList(sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f679,f556]) ).
fof(f683,definition,
( spl59_16
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_16])],[avatar_definition]) ).
fof(f684,plain,
( ssList(sK9(sK56,sK57))
| ~ spl59_16 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f685,plain,
( ~ ssList(sK9(sK56,sK57))
| spl59_16 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f687,definition,
( spl59_17
<=> ssList(app(sK55,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl59_17])],[avatar_definition]) ).
fof(f689,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ spl59_17 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f690,plain,
( ~ spl59_16
| spl59_17
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4 ),
inference(avatar_split_clause,[],[f680,f564,f559,f554,f687,f683]) ).
fof(f696,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_16 ),
inference(resolution,[],[f685,f303]) ).
fof(f697,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_3
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f696,f561]) ).
fof(f698,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_3
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f697,f556]) ).
fof(f699,plain,
( $false
| ~ spl59_2
| ~ spl59_3
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f698,f510]) ).
fof(f700,plain,
( ~ spl59_2
| ~ spl59_3
| spl59_16 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f720,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_14 ),
inference(resolution,[],[f304,f656]) ).
fof(f724,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_3
| spl59_14 ),
inference(forward_subsumption_resolution,[],[f720,f561]) ).
fof(f725,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_3
| spl59_14 ),
inference(forward_subsumption_resolution,[],[f724,f556]) ).
fof(f726,plain,
( $false
| ~ spl59_2
| ~ spl59_3
| spl59_14 ),
inference(forward_subsumption_resolution,[],[f725,f510]) ).
fof(f727,plain,
( ~ spl59_2
| ~ spl59_3
| spl59_14 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f926,plain,
( ! [X0,X1] :
( segmentP(app(sK56,X0),X1)
| ~ segmentP(cons(sK57,sK9(sK56,sK57)),X1)
| ~ ssList(X0)
| ~ ssList(sK8(sK56,sK57))
| ~ ssList(X1)
| ~ ssList(cons(sK57,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_3 ),
inference(superposition,[],[f441,f641]) ).
fof(f933,plain,
( ! [X0,X1] :
( segmentP(app(sK56,X0),X1)
| ~ segmentP(cons(sK57,sK9(sK56,sK57)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(cons(sK57,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_3
| ~ spl59_14 ),
inference(forward_subsumption_resolution,[],[f926,f655]) ).
fof(f941,plain,
( ! [X0,X1] :
( segmentP(app(sK56,X0),X1)
| ~ segmentP(cons(sK57,sK9(sK56,sK57)),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_2
| ~ spl59_3
| ~ spl59_13
| ~ spl59_14 ),
inference(forward_subsumption_resolution,[],[f933,f651]) ).
fof(f947,plain,
( ! [X0,X1] :
( ~ segmentP(app(sK55,sK9(sK56,sK57)),X1)
| segmentP(app(sK56,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_13
| ~ spl59_14 ),
inference(forward_demodulation,[],[f941,f676]) ).
fof(f949,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14 ),
inference(resolution,[],[f947,f645]) ).
fof(f953,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14 ),
inference(forward_subsumption_resolution,[],[f949,f511]) ).
fof(f955,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16 ),
inference(forward_subsumption_resolution,[],[f953,f684]) ).
fof(f956,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0) )
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16
| ~ spl59_17 ),
inference(forward_subsumption_resolution,[],[f955,f689]) ).
fof(f957,plain,
( segmentP(sK56,sK55)
| ~ ssList(nil)
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16
| ~ spl59_17 ),
inference(superposition,[],[f956,f626]) ).
fof(f958,plain,
( segmentP(sK56,sK55)
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16
| ~ spl59_17 ),
inference(forward_subsumption_resolution,[],[f957,f580]) ).
fof(f959,plain,
( ~ neq(sK55,nil)
| ~ ssList(sK55)
| ~ segmentP(sK55,sK55)
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16
| ~ spl59_17 ),
inference(resolution,[],[f958,f509]) ).
fof(f960,plain,
( ~ neq(sK55,nil)
| ~ segmentP(sK55,sK55)
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16
| ~ spl59_17 ),
inference(forward_subsumption_resolution,[],[f959,f511]) ).
fof(f962,definition,
( spl59_37
<=> segmentP(sK55,sK55) ),
introduced(definition,[new_symbols(definition,[spl59_37])],[avatar_definition]) ).
fof(f964,plain,
( ~ segmentP(sK55,sK55)
| spl59_37 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f966,definition,
( spl59_38
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl59_38])],[avatar_definition]) ).
fof(f968,plain,
( ~ neq(sK55,nil)
| spl59_38 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f969,plain,
( ~ spl59_37
| ~ spl59_38
| ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16
| ~ spl59_17 ),
inference(avatar_split_clause,[],[f960,f687,f683,f654,f650,f579,f564,f559,f554,f966,f962]) ).
fof(f970,plain,
( ~ ssList(sK55)
| spl59_37 ),
inference(resolution,[],[f964,f440]) ).
fof(f971,plain,
( $false
| spl59_37 ),
inference(forward_subsumption_resolution,[],[f970,f511]) ).
fof(f972,plain,
spl59_37,
inference(avatar_contradiction_clause,[],[f971]) ).
fof(f974,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl59_38 ),
inference(resolution,[],[f968,f387]) ).
fof(f975,plain,
( ~ ssList(nil)
| ~ ssList(sK55)
| spl59_6
| spl59_38 ),
inference(forward_subsumption_resolution,[],[f974,f574]) ).
fof(f977,plain,
( ~ ssList(sK55)
| spl59_6
| ~ spl59_7
| spl59_38 ),
inference(forward_subsumption_resolution,[],[f975,f580]) ).
fof(f987,plain,
( $false
| spl59_6
| ~ spl59_7
| spl59_38 ),
inference(forward_subsumption_resolution,[],[f977,f511]) ).
fof(f988,plain,
( spl59_6
| ~ spl59_7
| spl59_38 ),
inference(avatar_contradiction_clause,[],[f987]) ).
cnf(s1,plain,
( ~ spl59_1
| spl59_2 ),
inference(sat_conversion,[],[f557]) ).
cnf(s2,plain,
( ~ spl59_1
| spl59_3 ),
inference(sat_conversion,[],[f562]) ).
cnf(s3,plain,
( ~ spl59_1
| spl59_4 ),
inference(sat_conversion,[],[f567]) ).
cnf(s5,plain,
spl59_1,
inference(sat_conversion,[],[f577]) ).
cnf(s13,plain,
spl59_7,
inference(sat_conversion,[],[f607]) ).
cnf(s14,plain,
( ~ spl59_2
| ~ spl59_4
| ~ spl59_6
| ~ spl59_7 ),
inference(sat_conversion,[],[f618]) ).
cnf(s16,plain,
( ~ spl59_2
| ~ spl59_3
| spl59_13 ),
inference(sat_conversion,[],[f670]) ).
cnf(s17,plain,
( ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_16
| spl59_17 ),
inference(sat_conversion,[],[f690]) ).
cnf(s19,plain,
( ~ spl59_2
| ~ spl59_3
| spl59_16 ),
inference(sat_conversion,[],[f700]) ).
cnf(s20,plain,
( ~ spl59_2
| ~ spl59_3
| spl59_14 ),
inference(sat_conversion,[],[f727]) ).
cnf(s34,plain,
( ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16
| ~ spl59_17
| ~ spl59_37
| ~ spl59_38 ),
inference(sat_conversion,[],[f969]) ).
cnf(s35,plain,
spl59_37,
inference(sat_conversion,[],[f972]) ).
cnf(s37,plain,
( spl59_6
| ~ spl59_7
| spl59_38 ),
inference(sat_conversion,[],[f988]) ).
cnf(s38,plain,
( ~ spl59_2
| ~ spl59_3
| ~ spl59_4
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16
| ~ spl59_17
| ~ spl59_38 ),
inference(rat,[],[s34,s35]) ).
cnf(s42,plain,
spl59_4,
inference(rat,[],[s3,s5]) ).
cnf(s43,plain,
spl59_3,
inference(rat,[],[s2,s5]) ).
cnf(s44,plain,
spl59_2,
inference(rat,[],[s1,s5]) ).
cnf(s45,plain,
spl59_14,
inference(rat,[],[s20,s43,s44]) ).
cnf(s46,plain,
spl59_16,
inference(rat,[],[s19,s43,s44]) ).
cnf(s47,plain,
spl59_13,
inference(rat,[],[s16,s43,s44]) ).
cnf(s48,plain,
~ spl59_6,
inference(rat,[],[s14,s13,s42,s44]) ).
cnf(s50,plain,
spl59_17,
inference(rat,[],[s17,s44,s43,s42,s46]) ).
cnf(s52,plain,
spl59_38,
inference(rat,[],[s37,s13,s48]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s38,s47,s45,s46,s44,s43,s13,s42,s52,s50]) ).
fof(f989,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC093+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.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 07:54:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 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
% 6.02/1.82 % (3461440)Detected formulas, will run a generic FOF schedule.
% 6.02/1.82 % (3461449)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1745308857:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.02/1.82 % (3461449)Instruction limit reached!
% 6.02/1.82 % (3461449)------------------------------
% 6.02/1.82 % (3461449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461449)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461449)Termination reason: Instruction limit
% 6.02/1.82 % (3461449)Termination phase: Saturation
% 6.02/1.82 % (3461449)Time elapsed: 0.041 s
% 6.02/1.82 % (3461449)Peak memory usage: 89 MB
% 6.02/1.82 % (3461449)Instructions burned: 120 (million)
% 6.02/1.82 % (3461450)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3702207930:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.02/1.82 % (3461451)dis-21_1_sil=8000:lcm=predicate:random_seed=416068445:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.02/1.82 % (3461448)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4217694047:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.02/1.82 % (3461445)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=1189062426:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.02/1.82 % (3461446)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=1930457384:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.02/1.82 % (3461447)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=1409381468:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.02/1.82 % (3461448)Refutation not found, incomplete strategy
% 6.02/1.82 % (3461448)------------------------------
% 6.02/1.82 % (3461448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461448)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461448)Termination reason: Refutation not found, incomplete strategy
% 6.02/1.82 % (3461448)Time elapsed: 0.004 s
% 6.02/1.82 % (3461448)Peak memory usage: 88 MB
% 6.02/1.82 % (3461448)Instructions burned: 4 (million)
% 6.02/1.82 % (3461451)Instruction limit reached!
% 6.02/1.82 % (3461451)------------------------------
% 6.02/1.82 % (3461451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461451)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461451)Termination reason: Instruction limit
% 6.02/1.82 % (3461451)Termination phase: Saturation
% 6.02/1.82 % (3461451)Time elapsed: 0.074 s
% 6.02/1.82 % (3461451)Peak memory usage: 90 MB
% 6.02/1.82 % (3461451)Instructions burned: 130 (million)
% 6.02/1.82 % (3461459)lrs+10_1_sil=8000:sp=occurrence:random_seed=729153404:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.02/1.82 % (3461450)Instruction limit reached!
% 6.02/1.82 % (3461450)------------------------------
% 6.02/1.82 % (3461450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461450)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461450)Termination reason: Instruction limit
% 6.02/1.82 % (3461450)Termination phase: Saturation
% 6.02/1.82 % (3461450)Time elapsed: 0.093 s
% 6.02/1.82 % (3461450)Peak memory usage: 90 MB
% 6.02/1.82 % (3461450)Instructions burned: 140 (million)
% 6.02/1.82 % (3461459)Instruction limit reached!
% 6.02/1.82 % (3461459)------------------------------
% 6.02/1.82 % (3461459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461459)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461459)Termination reason: Instruction limit
% 6.02/1.82 % (3461459)Termination phase: Saturation
% 6.02/1.82 % (3461459)Time elapsed: 0.095 s
% 6.02/1.82 % (3461459)Peak memory usage: 93 MB
% 6.02/1.82 % (3461459)Instructions burned: 287 (million)
% 6.02/1.82 % (3461460)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1395446213:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.02/1.82 % (3461462)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2363948996:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.02/1.82 % (3461448)------------------------------
% 6.02/1.82 % (3461448)------------------------------
% 6.02/1.82 % (3461463)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=1501536362:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.02/1.82 % (3461460)Instruction limit reached!
% 6.02/1.82 % (3461460)------------------------------
% 6.02/1.82 % (3461460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461460)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461460)Termination reason: Instruction limit
% 6.02/1.82 % (3461460)Termination phase: Saturation
% 6.02/1.82 % (3461460)Time elapsed: 0.078 s
% 6.02/1.82 % (3461460)Peak memory usage: 91 MB
% 6.02/1.82 % (3461460)Instructions burned: 157 (million)
% 6.02/1.82 % (3461463)Instruction limit reached!
% 6.02/1.82 % (3461463)------------------------------
% 6.02/1.82 % (3461463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461463)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461463)Termination reason: Instruction limit
% 6.02/1.82 % (3461463)Termination phase: Saturation
% 6.02/1.82 % (3461463)Time elapsed: 0.066 s
% 6.02/1.82 % (3461463)Peak memory usage: 93 MB
% 6.02/1.82 % (3461463)Instructions burned: 252 (million)
% 6.02/1.82 % (3461466)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=159904642:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.02/1.82 % (3461468)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1729871028:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.02/1.82 % (3461462)Instruction limit reached!
% 6.02/1.82 % (3461462)------------------------------
% 6.02/1.82 % (3461462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461462)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461462)Termination reason: Instruction limit
% 6.02/1.82 % (3461462)Termination phase: Saturation
% 6.02/1.82 % (3461462)Time elapsed: 0.203 s
% 6.02/1.82 % (3461462)Peak memory usage: 92 MB
% 6.02/1.82 % (3461462)Instructions burned: 325 (million)
% 6.02/1.82 % (3461469)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3617598283:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.02/1.82 % (3461469)Instruction limit reached!
% 6.02/1.82 % (3461469)------------------------------
% 6.02/1.82 % (3461469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461469)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461469)Termination reason: Instruction limit
% 6.02/1.82 % (3461469)Termination phase: Saturation
% 6.02/1.82 % (3461469)Time elapsed: 0.042 s
% 6.02/1.82 % (3461469)Peak memory usage: 90 MB
% 6.02/1.82 % (3461469)Instructions burned: 114 (million)
% 6.02/1.82 % (3461472)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3808291689:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.02/1.82 % (3461474)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3905519085:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.02/1.82 % (3461466)Instruction limit reached!
% 6.02/1.82 % (3461466)------------------------------
% 6.02/1.82 % (3461466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461466)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461466)Termination reason: Instruction limit
% 6.02/1.82 % (3461466)Termination phase: Saturation
% 6.02/1.82 % (3461466)Time elapsed: 0.185 s
% 6.02/1.82 % (3461466)Peak memory usage: 90 MB
% 6.02/1.82 % (3461466)Instructions burned: 294 (million)
% 6.02/1.82 % (3461472)Instruction limit reached!
% 6.02/1.82 % (3461472)------------------------------
% 6.02/1.82 % (3461472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461472)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461472)Termination reason: Instruction limit
% 6.02/1.82 % (3461472)Termination phase: Saturation
% 6.02/1.82 % (3461472)Time elapsed: 0.065 s
% 6.02/1.82 % (3461472)Peak memory usage: 89 MB
% 6.02/1.82 % (3461472)Instructions burned: 129 (million)
% 6.02/1.82 % (3461474)Instruction limit reached!
% 6.02/1.82 % (3461474)------------------------------
% 6.02/1.82 % (3461474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.02/1.82 % (3461474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.02/1.82 % (3461474)CaDiCaL version: 2.1.3
% 6.02/1.82 % (3461474)Termination reason: Instruction limit
% 6.02/1.82 % (3461474)Termination phase: Saturation
% 6.02/1.82 % (3461474)Time elapsed: 0.038 s
% 6.02/1.82 % (3461474)Peak memory usage: 89 MB
% 6.02/1.82 % (3461474)Instructions burned: 117 (million)
% 6.02/1.82 % (3461445)First to succeed.
% 6.02/1.82 % (3461445)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3461440"
% 6.02/1.82 % (3461477)lrs+10_1_sil=8000:sp=occurrence:random_seed=1670521920:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.02/1.82 % (3461446)Also succeeded, but the first one will report.
% 6.02/1.82 % (3461479)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3251934730:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.02/1.82 % (3461478)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=977306213:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.02/1.82 % (3461445)Refutation found. Thanks to Tanya!
% 6.02/1.82 % SZS status Theorem for theBenchmark
% 6.02/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 7.40/2.01 % (3461445)------------------------------
% 7.40/2.01 % (3461445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/2.01 % (3461445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/2.01 % (3461445)CaDiCaL version: 2.1.3
% 7.40/2.01 % (3461445)Termination reason: Refutation
% 7.40/2.01 % (3461445)Time elapsed: 0.661 s
% 7.40/2.01 % (3461445)Peak memory usage: 130 MB
% 7.40/2.01 % (3461445)Instructions burned: 1049 (million)
% 7.40/2.01 % (3461445)------------------------------
% 7.40/2.01 % (3461445)------------------------------
% 7.40/2.01 % (3461440)Success in time 0.978 s
% 7.40/2.01 % Vampire exiting
%------------------------------------------------------------------------------