%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC374+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 : n009.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 01:03:41 PM UTC 2026
% Result : Theorem 6.77s 1.77s
% Output : Refutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 172 ( 23 unt; 11 def)
% Number of atoms : 653 ( 102 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 861 ( 380 ~; 378 |; 59 &)
% ( 16 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 122 !; 26 ?)
% 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(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(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(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
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
| segmentP(X1,X0)
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
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
| segmentP(X1,X0)
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
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(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(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(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
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
& ~ segmentP(X1,X0)
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ( nil = X3
& 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
& ~ segmentP(X1,X0)
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& 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(f285,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ~ segmentP(sK54,sK53)
& ( ( sK55 = cons(sK57,nil)
& memberP(sK56,sK57)
& ssItem(sK57) )
| ( nil = sK56
& 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(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(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(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(f444,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
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)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( ssItem(sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( memberP(sK56,sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( sK55 = cons(sK57,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( sK55 = cons(sK57,nil)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
~ segmentP(sK54,sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
~ segmentP(sK56,sK55),
inference(definition_unfolding,[],[f506,f508,f507]) ).
fof(f510,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f508]) ).
fof(f511,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f507]) ).
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(f531,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f444]) ).
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
| nil = sK56 ),
inference(definition_folding,[],[f505,f540]) ).
fof(f542,plain,
( sK55 = sF58
| nil = sK55 ),
inference(definition_folding,[],[f504,f540]) ).
fof(f551,definition,
( spl59_1
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl59_1])],[avatar_definition]) ).
fof(f553,plain,
( nil = sK55
| ~ spl59_1 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f555,definition,
( spl59_2
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl59_2])],[avatar_definition]) ).
fof(f557,plain,
( ssItem(sK57)
| ~ spl59_2 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f558,plain,
( spl59_1
| spl59_2 ),
inference(avatar_split_clause,[],[f500,f555,f551]) ).
fof(f560,definition,
( spl59_3
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl59_3])],[avatar_definition]) ).
fof(f562,plain,
( nil = sK56
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( spl59_3
| spl59_2 ),
inference(avatar_split_clause,[],[f501,f555,f560]) ).
fof(f565,definition,
( spl59_4
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl59_4])],[avatar_definition]) ).
fof(f567,plain,
( memberP(sK56,sK57)
| ~ spl59_4 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,plain,
( spl59_1
| spl59_4 ),
inference(avatar_split_clause,[],[f502,f565,f551]) ).
fof(f571,definition,
( spl59_5
<=> sK55 = sF58 ),
introduced(definition,[new_symbols(definition,[spl59_5])],[avatar_definition]) ).
fof(f573,plain,
( sK55 = sF58
| ~ spl59_5 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( spl59_1
| spl59_5 ),
inference(avatar_split_clause,[],[f542,f571,f551]) ).
fof(f575,plain,
( spl59_3
| spl59_5 ),
inference(avatar_split_clause,[],[f541,f571,f560]) ).
fof(f577,definition,
( spl59_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl59_6])],[avatar_definition]) ).
fof(f578,plain,
( ssList(nil)
| ~ spl59_6 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f591,definition,
( spl59_9
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl59_9])],[avatar_definition]) ).
fof(f593,plain,
( segmentP(nil,nil)
| ~ spl59_9 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f594,plain,
( ~ spl59_6
| spl59_9 ),
inference(avatar_split_clause,[],[f531,f591,f577]) ).
fof(f605,plain,
spl59_6,
inference(avatar_split_clause,[],[f389,f577]) ).
fof(f614,plain,
sK55 = app(nil,sK55),
inference(resolution,[],[f403,f511]) ).
fof(f619,plain,
! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) ),
inference(superposition,[],[f517,f614]) ).
fof(f620,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_6 ),
inference(forward_subsumption_resolution,[],[f619,f578]) ).
fof(f621,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_6 ),
inference(forward_subsumption_resolution,[],[f620,f511]) ).
fof(f625,plain,
sK56 = app(sK56,nil),
inference(resolution,[],[f482,f510]) ).
fof(f628,plain,
( nil != sF58
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f540]) ).
fof(f629,plain,
( nil != sF58
| ~ ssList(nil)
| ~ spl59_2 ),
inference(forward_subsumption_resolution,[],[f628,f557]) ).
fof(f630,plain,
( nil != sF58
| ~ spl59_2
| ~ spl59_6 ),
inference(forward_subsumption_resolution,[],[f629,f578]) ).
fof(f631,plain,
( nil != sK55
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6 ),
inference(forward_demodulation,[],[f630,f573]) ).
fof(f632,plain,
( ~ spl59_1
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6 ),
inference(avatar_split_clause,[],[f631,f577,f571,f555,f551]) ).
fof(f635,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_4 ),
inference(resolution,[],[f302,f567]) ).
fof(f640,definition,
( spl59_12
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl59_12])],[avatar_definition]) ).
fof(f641,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl59_12 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl59_12 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f644,definition,
( spl59_13
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_13])],[avatar_definition]) ).
fof(f645,plain,
( ssList(sK8(sK56,sK57))
| ~ spl59_13 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f646,plain,
( ~ ssList(sK8(sK56,sK57))
| spl59_13 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f651,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl59_12 ),
inference(resolution,[],[f642,f388]) ).
fof(f652,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl59_2
| spl59_12 ),
inference(forward_subsumption_resolution,[],[f651,f557]) ).
fof(f653,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_2
| spl59_12 ),
inference(resolution,[],[f303,f652]) ).
fof(f656,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_4
| spl59_12 ),
inference(forward_subsumption_resolution,[],[f653,f567]) ).
fof(f657,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_4
| spl59_12 ),
inference(forward_subsumption_resolution,[],[f656,f557]) ).
fof(f658,plain,
( $false
| ~ spl59_2
| ~ spl59_4
| spl59_12 ),
inference(forward_subsumption_resolution,[],[f657,f510]) ).
fof(f659,plain,
( ~ spl59_2
| ~ spl59_4
| spl59_12 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f665,plain,
! [X2,X0,X1] :
( ~ memberP(X1,X2)
| cons(X0,sK9(X1,X2)) = app(cons(X0,nil),sK9(X1,X2))
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f477,f303]) ).
fof(f668,plain,
( ! [X0] :
( cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57))
| ~ ssItem(X0)
| ~ ssItem(sK57)
| ~ ssList(sK56) )
| ~ spl59_4 ),
inference(resolution,[],[f665,f567]) ).
fof(f669,plain,
( ! [X0] :
( cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57))
| ~ ssItem(X0)
| ~ ssList(sK56) )
| ~ spl59_2
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f668,f557]) ).
fof(f670,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_2
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f669,f510]) ).
fof(f671,plain,
( cons(sK57,sK9(sK56,sK57)) = app(cons(sK57,nil),sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_4 ),
inference(resolution,[],[f670,f557]) ).
fof(f672,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sF58,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_4 ),
inference(forward_demodulation,[],[f671,f540]) ).
fof(f673,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sK55,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5 ),
inference(forward_demodulation,[],[f672,f573]) ).
fof(f674,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_12 ),
inference(superposition,[],[f641,f673]) ).
fof(f681,definition,
( spl59_15
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_15])],[avatar_definition]) ).
fof(f682,plain,
( ssList(sK9(sK56,sK57))
| ~ spl59_15 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f683,plain,
( ~ ssList(sK9(sK56,sK57))
| spl59_15 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f689,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_15 ),
inference(resolution,[],[f683,f303]) ).
fof(f690,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_4
| spl59_15 ),
inference(forward_subsumption_resolution,[],[f689,f567]) ).
fof(f691,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_4
| spl59_15 ),
inference(forward_subsumption_resolution,[],[f690,f557]) ).
fof(f692,plain,
( $false
| ~ spl59_2
| ~ spl59_4
| spl59_15 ),
inference(forward_subsumption_resolution,[],[f691,f510]) ).
fof(f693,plain,
( ~ spl59_2
| ~ spl59_4
| spl59_15 ),
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f694,plain,
( ~ segmentP(nil,sK55)
| ~ spl59_3 ),
inference(superposition,[],[f509,f562]) ).
fof(f703,plain,
( ~ segmentP(nil,nil)
| ~ spl59_1
| ~ spl59_3 ),
inference(forward_demodulation,[],[f694,f553]) ).
fof(f704,plain,
( $false
| ~ spl59_1
| ~ spl59_3
| ~ spl59_9 ),
inference(forward_subsumption_resolution,[],[f703,f593]) ).
fof(f705,plain,
( ~ spl59_1
| ~ spl59_3
| ~ spl59_9 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f712,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f635,f557]) ).
fof(f713,plain,
( ! [X0] :
( cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57))
| ~ ssItem(X0)
| ~ ssList(sK56) )
| ~ spl59_2
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f668,f557]) ).
fof(f716,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl59_2
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f712,f510]) ).
fof(f717,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_2
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f713,f510]) ).
fof(f730,plain,
( cons(sK57,sK9(sK56,sK57)) = app(cons(sK57,nil),sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_4 ),
inference(resolution,[],[f717,f557]) ).
fof(f731,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sF58,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_4 ),
inference(forward_demodulation,[],[f730,f540]) ).
fof(f732,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sK55,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5 ),
inference(forward_demodulation,[],[f731,f573]) ).
fof(f749,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_13 ),
inference(resolution,[],[f304,f646]) ).
fof(f753,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_4
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f749,f567]) ).
fof(f754,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_4
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f753,f557]) ).
fof(f755,plain,
( $false
| ~ spl59_2
| ~ spl59_4
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f754,f510]) ).
fof(f756,plain,
( ~ spl59_2
| ~ spl59_4
| spl59_13 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f777,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_4 ),
inference(superposition,[],[f441,f716]) ).
fof(f782,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_4
| ~ spl59_13 ),
inference(forward_subsumption_resolution,[],[f777,f645]) ).
fof(f787,plain,
( ! [X0,X1] :
( segmentP(app(sK56,X0),X1)
| ~ segmentP(cons(sK57,sK9(sK56,sK57)),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_2
| ~ spl59_4
| ~ spl59_12
| ~ spl59_13 ),
inference(forward_subsumption_resolution,[],[f782,f641]) ).
fof(f790,plain,
( ! [X0,X1] :
( ~ segmentP(app(sK55,sK9(sK56,sK57)),X1)
| segmentP(app(sK56,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_12
| ~ spl59_13 ),
inference(forward_demodulation,[],[f787,f732]) ).
fof(f791,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13 ),
inference(resolution,[],[f790,f621]) ).
fof(f795,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13 ),
inference(forward_subsumption_resolution,[],[f791,f511]) ).
fof(f796,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13
| ~ spl59_15 ),
inference(forward_subsumption_resolution,[],[f795,f682]) ).
fof(f797,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0) )
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13
| ~ spl59_15 ),
inference(forward_subsumption_resolution,[],[f796,f674]) ).
fof(f798,plain,
( segmentP(sK56,sK55)
| ~ ssList(nil)
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13
| ~ spl59_15 ),
inference(superposition,[],[f797,f625]) ).
fof(f799,plain,
( ~ ssList(nil)
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13
| ~ spl59_15 ),
inference(forward_subsumption_resolution,[],[f798,f509]) ).
fof(f800,plain,
( $false
| ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13
| ~ spl59_15 ),
inference(forward_subsumption_resolution,[],[f799,f578]) ).
fof(f801,plain,
( ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13
| ~ spl59_15 ),
inference(avatar_contradiction_clause,[],[f800]) ).
cnf(s1,plain,
( spl59_1
| spl59_2 ),
inference(sat_conversion,[],[f558]) ).
cnf(s2,plain,
( spl59_2
| spl59_3 ),
inference(sat_conversion,[],[f563]) ).
cnf(s3,plain,
( spl59_1
| spl59_4 ),
inference(sat_conversion,[],[f568]) ).
cnf(s5,plain,
( spl59_1
| spl59_5 ),
inference(sat_conversion,[],[f574]) ).
cnf(s6,plain,
( spl59_3
| spl59_5 ),
inference(sat_conversion,[],[f575]) ).
cnf(s11,plain,
( ~ spl59_6
| spl59_9 ),
inference(sat_conversion,[],[f594]) ).
cnf(s14,plain,
spl59_6,
inference(sat_conversion,[],[f605]) ).
cnf(s15,plain,
( ~ spl59_1
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6 ),
inference(sat_conversion,[],[f632]) ).
cnf(s17,plain,
( ~ spl59_2
| ~ spl59_4
| spl59_12 ),
inference(sat_conversion,[],[f659]) ).
cnf(s19,plain,
( ~ spl59_2
| ~ spl59_4
| spl59_15 ),
inference(sat_conversion,[],[f693]) ).
cnf(s20,plain,
( ~ spl59_1
| ~ spl59_3
| ~ spl59_9 ),
inference(sat_conversion,[],[f705]) ).
cnf(s22,plain,
( ~ spl59_2
| ~ spl59_4
| spl59_13 ),
inference(sat_conversion,[],[f756]) ).
cnf(s23,plain,
( ~ spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_12
| ~ spl59_13
| ~ spl59_15 ),
inference(sat_conversion,[],[f801]) ).
cnf(s26,plain,
spl59_9,
inference(rat,[],[s11,s14]) ).
cnf(s27,plain,
spl59_1,
inference(rat,[],[s23,s17,s19,s22,s1,s3,s5,s14]) ).
cnf(s28,plain,
~ spl59_3,
inference(rat,[],[s20,s26,s27]) ).
cnf(s29,plain,
spl59_5,
inference(rat,[],[s6,s28]) ).
cnf(s31,plain,
spl59_2,
inference(rat,[],[s2,s28]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s15,s14,s27,s29,s31]) ).
fof(f802,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC374+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n009.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:21:00 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 6.77/1.77 % (2910085)Detected formulas, will run a generic FOF schedule.
% 6.77/1.77 % (2910093)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=924374047:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.77/1.77 % (2910093)Refutation not found, incomplete strategy
% 6.77/1.77 % (2910093)------------------------------
% 6.77/1.77 % (2910093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910093)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910093)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.77 % (2910093)Time elapsed: 0.002 s
% 6.77/1.77 % (2910093)Peak memory usage: 89 MB
% 6.77/1.77 % (2910093)Instructions burned: 3 (million)
% 6.77/1.77 % (2910094)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2336079789:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.77/1.77 % (2910091)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=3353543660:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.77/1.77 % (2910095)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=977311252:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.77/1.77 % (2910092)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=1160354241:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.77/1.77 % (2910096)dis-21_1_sil=8000:lcm=predicate:random_seed=604240401: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)
% 6.77/1.77 % (2910090)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=1262602059:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.77/1.77 % (2910094)Instruction limit reached!
% 6.77/1.77 % (2910094)------------------------------
% 6.77/1.77 % (2910094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910094)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910094)Termination reason: Instruction limit
% 6.77/1.77 % (2910094)Termination phase: Saturation
% 6.77/1.77 % (2910094)Time elapsed: 0.070 s
% 6.77/1.77 % (2910094)Peak memory usage: 88 MB
% 6.77/1.77 % (2910094)Instructions burned: 120 (million)
% 6.77/1.77 % (2910096)Instruction limit reached!
% 6.77/1.77 % (2910096)------------------------------
% 6.77/1.77 % (2910096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910096)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910096)Termination reason: Instruction limit
% 6.77/1.77 % (2910096)Termination phase: Saturation
% 6.77/1.77 % (2910096)Time elapsed: 0.072 s
% 6.77/1.77 % (2910096)Peak memory usage: 90 MB
% 6.77/1.77 % (2910096)Instructions burned: 129 (million)
% 6.77/1.77 % (2910095)Instruction limit reached!
% 6.77/1.77 % (2910095)------------------------------
% 6.77/1.77 % (2910095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910095)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910095)Termination reason: Instruction limit
% 6.77/1.77 % (2910095)Termination phase: Saturation
% 6.77/1.77 % (2910095)Time elapsed: 0.093 s
% 6.77/1.77 % (2910095)Peak memory usage: 90 MB
% 6.77/1.77 % (2910095)Instructions burned: 139 (million)
% 6.77/1.77 % (2910093)------------------------------
% 6.77/1.77 % (2910093)------------------------------
% 6.77/1.77 % (2910105)lrs+10_1_sil=32000:urr=on:br=off:random_seed=333057331:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.77/1.77 % (2910104)lrs+10_1_sil=8000:sp=occurrence:random_seed=3154870243:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.77/1.77 % (2910107)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=3153564663:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.77/1.77 % (2910106)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3891910805:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.77/1.77 % (2910107)Instruction limit reached!
% 6.77/1.77 % (2910107)------------------------------
% 6.77/1.77 % (2910107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910107)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910107)Termination reason: Instruction limit
% 6.77/1.77 % (2910107)Termination phase: Saturation
% 6.77/1.77 % (2910107)Time elapsed: 0.062 s
% 6.77/1.77 % (2910107)Peak memory usage: 93 MB
% 6.77/1.77 % (2910107)Instructions burned: 251 (million)
% 6.77/1.77 % (2910105)Instruction limit reached!
% 6.77/1.77 % (2910105)------------------------------
% 6.77/1.77 % (2910105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910105)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910105)Termination reason: Instruction limit
% 6.77/1.77 % (2910105)Termination phase: Saturation
% 6.77/1.77 % (2910105)Time elapsed: 0.074 s
% 6.77/1.77 % (2910105)Peak memory usage: 91 MB
% 6.77/1.77 % (2910105)Instructions burned: 158 (million)
% 6.77/1.77 % (2910104)Instruction limit reached!
% 6.77/1.77 % (2910104)------------------------------
% 6.77/1.77 % (2910104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910104)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910104)Termination reason: Instruction limit
% 6.77/1.77 % (2910104)Termination phase: Saturation
% 6.77/1.77 % (2910104)Time elapsed: 0.174 s
% 6.77/1.77 % (2910104)Peak memory usage: 93 MB
% 6.77/1.77 % (2910104)Instructions burned: 285 (million)
% 6.77/1.77 % (2910112)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4039403547:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.77/1.77 % (2910106)Instruction limit reached!
% 6.77/1.77 % (2910106)------------------------------
% 6.77/1.77 % (2910106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910106)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910106)Termination reason: Instruction limit
% 6.77/1.77 % (2910106)Termination phase: Saturation
% 6.77/1.77 % (2910106)Time elapsed: 0.206 s
% 6.77/1.77 % (2910106)Peak memory usage: 92 MB
% 6.77/1.77 % (2910106)Instructions burned: 326 (million)
% 6.77/1.77 % (2910113)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2697028956:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.77/1.77 % (2910112)Instruction limit reached!
% 6.77/1.77 % (2910112)------------------------------
% 6.77/1.77 % (2910112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910112)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910112)Termination reason: Instruction limit
% 6.77/1.77 % (2910112)Termination phase: Saturation
% 6.77/1.77 % (2910112)Time elapsed: 0.100 s
% 6.77/1.77 % (2910112)Peak memory usage: 90 MB
% 6.77/1.77 % (2910112)Instructions burned: 296 (million)
% 6.77/1.77 % (2910115)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3982928719:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.77/1.77 % (2910117)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=937167533:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.77/1.77 % (2910118)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=9819844:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.77/1.77 % (2910115)Instruction limit reached!
% 6.77/1.77 % (2910115)------------------------------
% 6.77/1.77 % (2910115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910115)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910115)Termination reason: Instruction limit
% 6.77/1.77 % (2910115)Termination phase: Saturation
% 6.77/1.77 % (2910115)Time elapsed: 0.081 s
% 6.77/1.77 % (2910115)Peak memory usage: 91 MB
% 6.77/1.77 % (2910115)Instructions burned: 113 (million)
% 6.77/1.77 % (2910118)Instruction limit reached!
% 6.77/1.77 % (2910118)------------------------------
% 6.77/1.77 % (2910118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910118)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910118)Termination reason: Instruction limit
% 6.77/1.77 % (2910118)Termination phase: Saturation
% 6.77/1.77 % (2910118)Time elapsed: 0.038 s
% 6.77/1.77 % (2910118)Peak memory usage: 90 MB
% 6.77/1.77 % (2910118)Instructions burned: 118 (million)
% 6.77/1.77 % (2910117)Instruction limit reached!
% 6.77/1.77 % (2910117)------------------------------
% 6.77/1.77 % (2910117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910117)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910117)Termination reason: Instruction limit
% 6.77/1.77 % (2910117)Termination phase: Saturation
% 6.77/1.77 % (2910117)Time elapsed: 0.064 s
% 6.77/1.77 % (2910117)Peak memory usage: 89 MB
% 6.77/1.77 % (2910117)Instructions burned: 129 (million)
% 6.77/1.77 % (2910090)First to succeed.
% 6.77/1.77 % (2910091)Also succeeded, but the first one will report.
% 6.77/1.77 % (2910090)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2910085"
% 6.77/1.77 % (2910123)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1208222287:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.77/1.77 % (2910122)lrs+10_1_sil=8000:sp=occurrence:random_seed=2593279305:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.77/1.77 % (2910124)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1950764809:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.77/1.77 % (2910123)Instruction limit reached!
% 6.77/1.77 % (2910123)------------------------------
% 6.77/1.77 % (2910123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.77 % (2910123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.77 % (2910123)CaDiCaL version: 2.1.3
% 6.77/1.77 % (2910123)Termination reason: Instruction limit
% 6.77/1.77 % (2910123)Termination phase: Saturation
% 6.77/1.77 % (2910123)Time elapsed: 0.084 s
% 6.77/1.77 % (2910123)Peak memory usage: 88 MB
% 6.77/1.77 % (2910123)Instructions burned: 439 (million)
% 6.77/1.77 % (2910090)Refutation found. Thanks to Tanya!
% 6.77/1.77 % SZS status Theorem for theBenchmark
% 6.77/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 8.38/1.87 % (2910090)------------------------------
% 8.38/1.87 % (2910090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/1.87 % (2910090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.87 % (2910090)CaDiCaL version: 2.1.3
% 8.38/1.87 % (2910090)Termination reason: Refutation
% 8.38/1.87 % (2910090)Time elapsed: 0.677 s
% 8.38/1.87 % (2910090)Peak memory usage: 131 MB
% 8.38/1.87 % (2910090)Instructions burned: 1017 (million)
% 8.38/1.87 % (2910090)------------------------------
% 8.38/1.87 % (2910090)------------------------------
% 8.38/1.87 % (2910085)Success in time 1.12 s
% 8.38/1.87 % Vampire exiting
%------------------------------------------------------------------------------