%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC329+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 : 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 01:03:29 PM UTC 2026
% Result : Theorem 8.79s 2.03s
% Output : Refutation 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 27
% Syntax : Number of formulae : 192 ( 25 unt; 14 def)
% Number of atoms : 721 ( 102 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 935 ( 406 ~; 411 |; 70 &)
% ( 19 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 154 ( 0 sgn 126 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax7) ).
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(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax56) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X4,X5) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( segmentP(X1,X0)
& equalelemsP(X0) ) ) ) ) ) ),
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)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X4,X5) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( segmentP(X1,X0)
& equalelemsP(X0) ) ) ) ) ) ),
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(f185,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
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
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X4,X5) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X4,X5) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ~ segmentP(X1,X0)
| ~ equalelemsP(X0) )
& 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
& ( ( sK55 = cons(sK57,nil)
& memberP(sK56,sK57)
& ! [X5] :
( ~ ssItem(X5)
| sK57 = X5
| ~ memberP(sK56,X5)
| ~ leq(sK57,X5) )
& ssItem(sK57) )
| ( nil = sK56
& nil = sK55 ) )
& ( ~ segmentP(sK54,sK53)
| ~ equalelemsP(sK53) )
& 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(f467,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f468,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
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,
( ~ segmentP(sK54,sK53)
| ~ equalelemsP(sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( ssItem(sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( ssItem(sK57)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( memberP(sK56,sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
( sK55 = cons(sK57,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
( sK55 = cons(sK57,nil)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
( ~ segmentP(sK56,sK55)
| ~ equalelemsP(sK55) ),
inference(definition_unfolding,[],[f500,f510,f509,f509]) ).
fof(f512,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f510]) ).
fof(f513,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f509]) ).
fof(f519,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(f533,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f444]) ).
fof(f541,definition,
sF58 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f542,plain,
cons(sK57,nil) = sF58,
inference(reorient_equations,[],[f541]) ).
fof(f543,plain,
( sK55 = sF58
| nil = sK56 ),
inference(definition_folding,[],[f508,f542]) ).
fof(f544,plain,
( sK55 = sF58
| nil = sK55 ),
inference(definition_folding,[],[f507,f542]) ).
fof(f553,definition,
( spl59_1
<=> equalelemsP(sK55) ),
introduced(definition,[new_symbols(definition,[spl59_1])],[avatar_definition]) ).
fof(f555,plain,
( ~ equalelemsP(sK55)
| spl59_1 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f557,definition,
( spl59_2
<=> segmentP(sK56,sK55) ),
introduced(definition,[new_symbols(definition,[spl59_2])],[avatar_definition]) ).
fof(f559,plain,
( ~ segmentP(sK56,sK55)
| spl59_2 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f560,plain,
( ~ spl59_1
| ~ spl59_2 ),
inference(avatar_split_clause,[],[f511,f557,f553]) ).
fof(f562,definition,
( spl59_3
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl59_3])],[avatar_definition]) ).
fof(f564,plain,
( nil = sK55
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl59_4
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl59_4])],[avatar_definition]) ).
fof(f568,plain,
( ssItem(sK57)
| ~ spl59_4 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,plain,
( spl59_3
| spl59_4 ),
inference(avatar_split_clause,[],[f501,f566,f562]) ).
fof(f571,definition,
( spl59_5
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl59_5])],[avatar_definition]) ).
fof(f573,plain,
( nil = sK56
| ~ spl59_5 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( spl59_5
| spl59_4 ),
inference(avatar_split_clause,[],[f502,f566,f571]) ).
fof(f581,definition,
( spl59_7
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl59_7])],[avatar_definition]) ).
fof(f583,plain,
( memberP(sK56,sK57)
| ~ spl59_7 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f584,plain,
( spl59_3
| spl59_7 ),
inference(avatar_split_clause,[],[f505,f581,f562]) ).
fof(f587,definition,
( spl59_8
<=> sK55 = sF58 ),
introduced(definition,[new_symbols(definition,[spl59_8])],[avatar_definition]) ).
fof(f589,plain,
( sK55 = sF58
| ~ spl59_8 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f590,plain,
( spl59_3
| spl59_8 ),
inference(avatar_split_clause,[],[f544,f587,f562]) ).
fof(f591,plain,
( spl59_5
| spl59_8 ),
inference(avatar_split_clause,[],[f543,f587,f571]) ).
fof(f593,definition,
( spl59_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl59_9])],[avatar_definition]) ).
fof(f594,plain,
( ssList(nil)
| ~ spl59_9 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f607,definition,
( spl59_12
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl59_12])],[avatar_definition]) ).
fof(f609,plain,
( segmentP(nil,nil)
| ~ spl59_12 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f610,plain,
( ~ spl59_9
| spl59_12 ),
inference(avatar_split_clause,[],[f533,f607,f593]) ).
fof(f621,plain,
spl59_9,
inference(avatar_split_clause,[],[f389,f593]) ).
fof(f624,plain,
( equalelemsP(sF58)
| ~ ssItem(sK57) ),
inference(superposition,[],[f467,f542]) ).
fof(f626,definition,
( spl59_15
<=> equalelemsP(sF58) ),
introduced(definition,[new_symbols(definition,[spl59_15])],[avatar_definition]) ).
fof(f628,plain,
( equalelemsP(sF58)
| ~ spl59_15 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f629,plain,
( ~ spl59_4
| spl59_15 ),
inference(avatar_split_clause,[],[f624,f626,f566]) ).
fof(f630,plain,
( ~ segmentP(nil,sK55)
| spl59_2
| ~ spl59_5 ),
inference(superposition,[],[f559,f573]) ).
fof(f633,plain,
( ~ segmentP(nil,nil)
| spl59_2
| ~ spl59_3
| ~ spl59_5 ),
inference(forward_demodulation,[],[f630,f564]) ).
fof(f636,plain,
( $false
| spl59_2
| ~ spl59_3
| ~ spl59_5
| ~ spl59_12 ),
inference(forward_subsumption_resolution,[],[f633,f609]) ).
fof(f637,plain,
( spl59_2
| ~ spl59_3
| ~ spl59_5
| ~ spl59_12 ),
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f638,plain,
( ~ equalelemsP(nil)
| spl59_1
| ~ spl59_3 ),
inference(forward_demodulation,[],[f555,f564]) ).
fof(f640,plain,
( $false
| spl59_1
| ~ spl59_3 ),
inference(forward_subsumption_resolution,[],[f638,f468]) ).
fof(f641,plain,
( spl59_1
| ~ spl59_3 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f646,plain,
( equalelemsP(sK55)
| ~ spl59_8
| ~ spl59_15 ),
inference(forward_demodulation,[],[f628,f589]) ).
fof(f647,plain,
( spl59_1
| ~ spl59_8
| ~ spl59_15 ),
inference(avatar_split_clause,[],[f646,f626,f587,f553]) ).
fof(f658,plain,
sK55 = app(nil,sK55),
inference(resolution,[],[f403,f513]) ).
fof(f660,plain,
! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) ),
inference(superposition,[],[f519,f658]) ).
fof(f661,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_9 ),
inference(forward_subsumption_resolution,[],[f660,f594]) ).
fof(f662,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_9 ),
inference(forward_subsumption_resolution,[],[f661,f513]) ).
fof(f669,plain,
sK56 = app(sK56,nil),
inference(resolution,[],[f482,f512]) ).
fof(f674,plain,
( nil != sF58
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f542]) ).
fof(f675,plain,
( nil != sF58
| ~ ssList(nil)
| ~ spl59_4 ),
inference(forward_subsumption_resolution,[],[f674,f568]) ).
fof(f676,plain,
( nil != sF58
| ~ spl59_4
| ~ spl59_9 ),
inference(forward_subsumption_resolution,[],[f675,f594]) ).
fof(f677,plain,
( nil != sK55
| ~ spl59_4
| ~ spl59_8
| ~ spl59_9 ),
inference(forward_demodulation,[],[f676,f589]) ).
fof(f678,plain,
( ~ spl59_3
| ~ spl59_4
| ~ spl59_8
| ~ spl59_9 ),
inference(avatar_split_clause,[],[f677,f593,f587,f566,f562]) ).
fof(f679,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_7 ),
inference(resolution,[],[f302,f583]) ).
fof(f680,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f679,f568]) ).
fof(f681,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl59_4
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f680,f512]) ).
fof(f684,definition,
( spl59_16
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl59_16])],[avatar_definition]) ).
fof(f685,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl59_16 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f686,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl59_16 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f688,definition,
( spl59_17
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_17])],[avatar_definition]) ).
fof(f689,plain,
( ssList(sK8(sK56,sK57))
| ~ spl59_17 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f690,plain,
( ~ ssList(sK8(sK56,sK57))
| spl59_17 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f695,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl59_16 ),
inference(resolution,[],[f686,f388]) ).
fof(f696,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl59_4
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f695,f568]) ).
fof(f697,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_4
| spl59_16 ),
inference(resolution,[],[f303,f696]) ).
fof(f700,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_7
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f697,f583]) ).
fof(f701,plain,
( ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_7
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f700,f568]) ).
fof(f702,plain,
( $false
| ~ spl59_4
| ~ spl59_7
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f701,f512]) ).
fof(f703,plain,
( ~ spl59_4
| ~ spl59_7
| spl59_16 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f709,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(f712,plain,
( ! [X0] :
( cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57))
| ~ ssItem(X0)
| ~ ssItem(sK57)
| ~ ssList(sK56) )
| ~ spl59_7 ),
inference(resolution,[],[f709,f583]) ).
fof(f713,plain,
( ! [X0] :
( cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57))
| ~ ssItem(X0)
| ~ ssList(sK56) )
| ~ spl59_4
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f712,f568]) ).
fof(f714,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_4
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f713,f512]) ).
fof(f715,plain,
( cons(sK57,sK9(sK56,sK57)) = app(cons(sK57,nil),sK9(sK56,sK57))
| ~ spl59_4
| ~ spl59_7 ),
inference(resolution,[],[f714,f568]) ).
fof(f716,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sF58,sK9(sK56,sK57))
| ~ spl59_4
| ~ spl59_7 ),
inference(forward_demodulation,[],[f715,f542]) ).
fof(f717,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sK55,sK9(sK56,sK57))
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8 ),
inference(forward_demodulation,[],[f716,f589]) ).
fof(f718,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_16 ),
inference(superposition,[],[f685,f717]) ).
fof(f725,definition,
( spl59_19
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_19])],[avatar_definition]) ).
fof(f726,plain,
( ssList(sK9(sK56,sK57))
| ~ spl59_19 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f727,plain,
( ~ ssList(sK9(sK56,sK57))
| spl59_19 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f733,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_19 ),
inference(resolution,[],[f727,f303]) ).
fof(f734,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_7
| spl59_19 ),
inference(forward_subsumption_resolution,[],[f733,f583]) ).
fof(f735,plain,
( ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_7
| spl59_19 ),
inference(forward_subsumption_resolution,[],[f734,f568]) ).
fof(f736,plain,
( $false
| ~ spl59_4
| ~ spl59_7
| spl59_19 ),
inference(forward_subsumption_resolution,[],[f735,f512]) ).
fof(f737,plain,
( ~ spl59_4
| ~ spl59_7
| spl59_19 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f752,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_17 ),
inference(resolution,[],[f304,f690]) ).
fof(f756,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_7
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f752,f583]) ).
fof(f757,plain,
( ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_7
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f756,f568]) ).
fof(f758,plain,
( $false
| ~ spl59_4
| ~ spl59_7
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f757,f512]) ).
fof(f759,plain,
( ~ spl59_4
| ~ spl59_7
| spl59_17 ),
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f763,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_4
| ~ spl59_7 ),
inference(superposition,[],[f441,f681]) ).
fof(f768,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_4
| ~ spl59_7
| ~ spl59_17 ),
inference(forward_subsumption_resolution,[],[f763,f689]) ).
fof(f773,plain,
( ! [X0,X1] :
( segmentP(app(sK56,X0),X1)
| ~ segmentP(cons(sK57,sK9(sK56,sK57)),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_4
| ~ spl59_7
| ~ spl59_16
| ~ spl59_17 ),
inference(forward_subsumption_resolution,[],[f768,f685]) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ segmentP(app(sK55,sK9(sK56,sK57)),X1)
| segmentP(app(sK56,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_16
| ~ spl59_17 ),
inference(forward_demodulation,[],[f773,f717]) ).
fof(f777,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17 ),
inference(resolution,[],[f776,f662]) ).
fof(f781,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17 ),
inference(forward_subsumption_resolution,[],[f777,f513]) ).
fof(f782,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(forward_subsumption_resolution,[],[f781,f726]) ).
fof(f783,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0) )
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(forward_subsumption_resolution,[],[f782,f718]) ).
fof(f784,plain,
( segmentP(sK56,sK55)
| ~ ssList(nil)
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(superposition,[],[f783,f669]) ).
fof(f785,plain,
( ~ ssList(nil)
| spl59_2
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(forward_subsumption_resolution,[],[f784,f559]) ).
fof(f786,plain,
( $false
| spl59_2
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(forward_subsumption_resolution,[],[f785,f594]) ).
fof(f787,plain,
( spl59_2
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(avatar_contradiction_clause,[],[f786]) ).
cnf(s1,plain,
( ~ spl59_1
| ~ spl59_2 ),
inference(sat_conversion,[],[f560]) ).
cnf(s2,plain,
( spl59_3
| spl59_4 ),
inference(sat_conversion,[],[f569]) ).
cnf(s3,plain,
( spl59_4
| spl59_5 ),
inference(sat_conversion,[],[f574]) ).
cnf(s6,plain,
( spl59_3
| spl59_7 ),
inference(sat_conversion,[],[f584]) ).
cnf(s8,plain,
( spl59_3
| spl59_8 ),
inference(sat_conversion,[],[f590]) ).
cnf(s9,plain,
( spl59_5
| spl59_8 ),
inference(sat_conversion,[],[f591]) ).
cnf(s14,plain,
( ~ spl59_9
| spl59_12 ),
inference(sat_conversion,[],[f610]) ).
cnf(s17,plain,
spl59_9,
inference(sat_conversion,[],[f621]) ).
cnf(s18,plain,
( ~ spl59_4
| spl59_15 ),
inference(sat_conversion,[],[f629]) ).
cnf(s20,plain,
( spl59_2
| ~ spl59_3
| ~ spl59_5
| ~ spl59_12 ),
inference(sat_conversion,[],[f637]) ).
cnf(s21,plain,
( spl59_1
| ~ spl59_3 ),
inference(sat_conversion,[],[f641]) ).
cnf(s22,plain,
( spl59_1
| ~ spl59_8
| ~ spl59_15 ),
inference(sat_conversion,[],[f647]) ).
cnf(s24,plain,
( ~ spl59_3
| ~ spl59_4
| ~ spl59_8
| ~ spl59_9 ),
inference(sat_conversion,[],[f678]) ).
cnf(s26,plain,
( ~ spl59_4
| ~ spl59_7
| spl59_16 ),
inference(sat_conversion,[],[f703]) ).
cnf(s28,plain,
( ~ spl59_4
| ~ spl59_7
| spl59_19 ),
inference(sat_conversion,[],[f737]) ).
cnf(s29,plain,
( ~ spl59_4
| ~ spl59_7
| spl59_17 ),
inference(sat_conversion,[],[f759]) ).
cnf(s30,plain,
( spl59_2
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(sat_conversion,[],[f787]) ).
cnf(s33,plain,
spl59_12,
inference(rat,[],[s14,s17]) ).
cnf(s34,plain,
spl59_1,
inference(rat,[],[s18,s22,s2,s8,s21]) ).
cnf(s35,plain,
~ spl59_2,
inference(rat,[],[s1,s34]) ).
cnf(s36,plain,
spl59_3,
inference(rat,[],[s30,s26,s28,s29,s2,s6,s8,s35,s17]) ).
cnf(s37,plain,
~ spl59_5,
inference(rat,[],[s20,s33,s35,s36]) ).
cnf(s38,plain,
spl59_8,
inference(rat,[],[s9,s37]) ).
cnf(s41,plain,
spl59_4,
inference(rat,[],[s3,s37]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s24,s17,s36,s38,s41]) ).
fof(f788,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC329+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n016.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 09:13:31 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 8.79/2.02 % (3496011)Detected formulas, will run a generic FOF schedule.
% 8.79/2.02 % (3496079)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1470011160:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.79/2.02 % (3496080)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1264608368:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.79/2.02 % (3496083)dis-21_1_sil=8000:lcm=predicate:random_seed=2851812784: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)
% 8.79/2.02 % (3496079)Refutation not found, incomplete strategy
% 8.79/2.02 % (3496079)------------------------------
% 8.79/2.02 % (3496079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.02 % (3496079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.02 % (3496079)CaDiCaL version: 2.1.3
% 8.79/2.02 % (3496079)Termination reason: Refutation not found, incomplete strategy
% 8.79/2.02 % (3496079)Time elapsed: 0.003 s
% 8.79/2.02 % (3496079)Peak memory usage: 89 MB
% 8.79/2.02 % (3496079)Instructions burned: 5 (million)
% 8.79/2.02 % (3496078)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=1448806070:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.79/2.02 % (3496076)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=3131292391:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.79/2.02 % (3496077)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=3243456990:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.79/2.02 % (3496081)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1490089679:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.79/2.02 % (3496080)Instruction limit reached!
% 8.79/2.02 % (3496080)------------------------------
% 8.79/2.02 % (3496080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.02 % (3496080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.02 % (3496080)CaDiCaL version: 2.1.3
% 8.79/2.02 % (3496080)Termination reason: Instruction limit
% 8.79/2.02 % (3496080)Termination phase: Saturation
% 8.79/2.02 % (3496080)Time elapsed: 0.070 s
% 8.79/2.02 % (3496080)Peak memory usage: 88 MB
% 8.79/2.02 % (3496080)Instructions burned: 120 (million)
% 8.79/2.02 % (3496083)Instruction limit reached!
% 8.79/2.02 % (3496083)------------------------------
% 8.79/2.02 % (3496083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.02 % (3496083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.02 % (3496083)CaDiCaL version: 2.1.3
% 8.79/2.02 % (3496083)Termination reason: Instruction limit
% 8.79/2.02 % (3496083)Termination phase: Saturation
% 8.79/2.02 % (3496083)Time elapsed: 0.073 s
% 8.79/2.02 % (3496083)Peak memory usage: 90 MB
% 8.79/2.02 % (3496083)Instructions burned: 129 (million)
% 8.79/2.02 % (3496081)Instruction limit reached!
% 8.79/2.02 % (3496081)------------------------------
% 8.79/2.02 % (3496081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.02 % (3496081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.02 % (3496081)CaDiCaL version: 2.1.3
% 8.79/2.02 % (3496081)Termination reason: Instruction limit
% 8.79/2.02 % (3496081)Termination phase: Saturation
% 8.79/2.02 % (3496081)Time elapsed: 0.096 s
% 8.79/2.02 % (3496081)Peak memory usage: 90 MB
% 8.79/2.02 % (3496081)Instructions burned: 139 (million)
% 8.79/2.02 % (3496079)------------------------------
% 8.79/2.02 % (3496079)------------------------------
% 8.79/2.02 % (3496139)lrs+10_1_sil=8000:sp=occurrence:random_seed=152677701:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.79/2.02 % (3496140)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3694414079:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.79/2.02 % (3496153)lrs+1011_1_sil=32000:sp=occurrence:random_seed=323766400:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.79/2.02 % (3496139)Instruction limit reached!
% 8.79/2.02 % (3496139)------------------------------
% 8.79/2.02 % (3496139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.02 % (3496139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.02 % (3496139)CaDiCaL version: 2.1.3
% 8.79/2.02 % (3496139)Termination reason: Instruction limit
% 8.79/2.02 % (3496139)Termination phase: Saturation
% 8.79/2.02 % (3496139)Time elapsed: 0.130 s
% 8.79/2.02 % (3496139)Peak memory usage: 93 MB
% 8.79/2.02 % (3496139)Instructions burned: 286 (million)
% 8.79/2.02 % (3496140)Instruction limit reached!
% 8.79/2.02 % (3496140)------------------------------
% 8.79/2.02 % (3496140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.02 % (3496140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.02 % (3496140)CaDiCaL version: 2.1.3
% 8.79/2.02 % (3496140)Termination reason: Instruction limit
% 8.79/2.02 % (3496140)Termination phase: Saturation
% 8.79/2.02 % (3496140)Time elapsed: 0.135 s
% 8.79/2.02 % (3496140)Peak memory usage: 92 MB
% 8.79/2.02 % (3496140)Instructions burned: 157 (million)
% 8.79/2.02 % (3496170)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=993272744:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.79/2.03 % (3496189)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1039168322:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.79/2.03 % (3496153)Instruction limit reached!
% 8.79/2.03 % (3496153)------------------------------
% 8.79/2.03 % (3496153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.03 % (3496153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.03 % (3496153)CaDiCaL version: 2.1.3
% 8.79/2.03 % (3496153)Termination reason: Instruction limit
% 8.79/2.03 % (3496153)Termination phase: Saturation
% 8.79/2.03 % (3496153)Time elapsed: 0.274 s
% 8.79/2.03 % (3496153)Peak memory usage: 92 MB
% 8.79/2.03 % (3496153)Instructions burned: 325 (million)
% 8.79/2.03 % (3496170)Instruction limit reached!
% 8.79/2.03 % (3496170)------------------------------
% 8.79/2.03 % (3496170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.03 % (3496170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.03 % (3496170)CaDiCaL version: 2.1.3
% 8.79/2.03 % (3496170)Termination reason: Instruction limit
% 8.79/2.03 % (3496170)Termination phase: Saturation
% 8.79/2.03 % (3496170)Time elapsed: 0.212 s
% 8.79/2.03 % (3496170)Peak memory usage: 93 MB
% 8.79/2.03 % (3496170)Instructions burned: 248 (million)
% 8.79/2.03 % (3496190)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=88222090:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.79/2.03 % (3496199)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3288711269:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 8.79/2.03 % (3496189)Instruction limit reached!
% 8.79/2.03 % (3496189)------------------------------
% 8.79/2.03 % (3496189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.03 % (3496189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.03 % (3496189)CaDiCaL version: 2.1.3
% 8.79/2.03 % (3496189)Termination reason: Instruction limit
% 8.79/2.03 % (3496189)Termination phase: Saturation
% 8.79/2.03 % (3496189)Time elapsed: 0.265 s
% 8.79/2.03 % (3496189)Peak memory usage: 90 MB
% 8.79/2.03 % (3496189)Instructions burned: 294 (million)
% 8.79/2.03 % (3496200)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3811107256:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 8.79/2.03 % (3496199)Instruction limit reached!
% 8.79/2.03 % (3496199)------------------------------
% 8.79/2.03 % (3496199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.03 % (3496199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.03 % (3496199)CaDiCaL version: 2.1.3
% 8.79/2.03 % (3496199)Termination reason: Instruction limit
% 8.79/2.03 % (3496199)Termination phase: Saturation
% 8.79/2.03 % (3496199)Time elapsed: 0.061 s
% 8.79/2.03 % (3496199)Peak memory usage: 91 MB
% 8.79/2.03 % (3496199)Instructions burned: 113 (million)
% 8.79/2.03 % (3496076)First to succeed.
% 8.79/2.03 % (3496076)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3496011"
% 8.79/2.03 % (3496200)Instruction limit reached!
% 8.79/2.03 % (3496200)------------------------------
% 8.79/2.03 % (3496200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.03 % (3496200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.03 % (3496200)CaDiCaL version: 2.1.3
% 8.79/2.03 % (3496200)Termination reason: Instruction limit
% 8.79/2.03 % (3496200)Termination phase: Saturation
% 8.79/2.03 % (3496200)Time elapsed: 0.109 s
% 8.79/2.03 % (3496200)Peak memory usage: 89 MB
% 8.79/2.03 % (3496200)Instructions burned: 127 (million)
% 8.79/2.03 % (3496203)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2585064357:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 8.79/2.03 % (3496206)lrs+10_1_sil=8000:sp=occurrence:random_seed=3404449171:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 8.79/2.03 % (3496203)Instruction limit reached!
% 8.79/2.03 % (3496203)------------------------------
% 8.79/2.03 % (3496203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.03 % (3496203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.03 % (3496203)CaDiCaL version: 2.1.3
% 8.79/2.03 % (3496203)Termination reason: Instruction limit
% 8.79/2.03 % (3496203)Termination phase: Saturation
% 8.79/2.03 % (3496203)Time elapsed: 0.039 s
% 8.79/2.03 % (3496203)Peak memory usage: 89 MB
% 8.79/2.03 % (3496203)Instructions burned: 116 (million)
% 8.79/2.03 % (3496217)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1188874303:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 8.79/2.03 % (3496211)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3322191286:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 8.79/2.03 % (3496076)Refutation found. Thanks to Tanya!
% 8.79/2.03 % SZS status Theorem for theBenchmark
% 8.79/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 11.47/2.28 % (3496076)------------------------------
% 11.47/2.28 % (3496076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.28 % (3496076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.28 % (3496076)CaDiCaL version: 2.1.3
% 11.47/2.28 % (3496076)Termination reason: Refutation
% 11.47/2.28 % (3496076)Time elapsed: 0.993 s
% 11.47/2.28 % (3496076)Peak memory usage: 131 MB
% 11.47/2.28 % (3496076)Instructions burned: 1008 (million)
% 11.47/2.28 % (3496076)------------------------------
% 11.47/2.28 % (3496076)------------------------------
% 11.47/2.28 % (3496011)Success in time 1.576 s
% 11.47/2.28 % Vampire exiting
%------------------------------------------------------------------------------