%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC345+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 : n026.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 01:03:33 PM UTC 2026
% Result : Theorem 6.52s 1.75s
% Output : Refutation 8.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 196 ( 27 unt; 15 def)
% Number of atoms : 732 ( 102 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 948 ( 412 ~; 417 |; 70 &)
% ( 20 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 156 ( 0 sgn 128 !; 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(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
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)
& strictorderedP(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)
& strictorderedP(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(f182,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
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)
| ~ strictorderedP(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)
| ~ strictorderedP(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)
| ~ strictorderedP(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(f458,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f459,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
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)
| ~ strictorderedP(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)
| ~ strictorderedP(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
<=> strictorderedP(sK55) ),
introduced(definition,[new_symbols(definition,[spl59_1])],[avatar_definition]) ).
fof(f555,plain,
( ~ strictorderedP(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(f597,definition,
( spl59_10
<=> ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl59_10])],[avatar_definition]) ).
fof(f598,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl59_10 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f600,plain,
spl59_10,
inference(avatar_split_clause,[],[f458,f597]) ).
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,
( strictorderedP(sF58)
| ~ ssItem(sK57)
| ~ spl59_10 ),
inference(superposition,[],[f598,f542]) ).
fof(f626,definition,
( spl59_15
<=> strictorderedP(sF58) ),
introduced(definition,[new_symbols(definition,[spl59_15])],[avatar_definition]) ).
fof(f628,plain,
( strictorderedP(sF58)
| ~ spl59_15 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f629,plain,
( ~ spl59_4
| spl59_15
| ~ spl59_10 ),
inference(avatar_split_clause,[],[f624,f597,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,
( ~ strictorderedP(nil)
| spl59_1
| ~ spl59_3 ),
inference(forward_demodulation,[],[f555,f564]) ).
fof(f640,plain,
( $false
| spl59_1
| ~ spl59_3 ),
inference(forward_subsumption_resolution,[],[f638,f459]) ).
fof(f641,plain,
( spl59_1
| ~ spl59_3 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f646,plain,
( strictorderedP(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(f749,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_17 ),
inference(resolution,[],[f304,f690]) ).
fof(f753,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_7
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f749,f583]) ).
fof(f754,plain,
( ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_7
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f753,f568]) ).
fof(f755,plain,
( $false
| ~ spl59_4
| ~ spl59_7
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f754,f512]) ).
fof(f756,plain,
( ~ spl59_4
| ~ spl59_7
| spl59_17 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f766,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(f771,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,[],[f766,f689]) ).
fof(f776,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,[],[f771,f685]) ).
fof(f779,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,[],[f776,f717]) ).
fof(f780,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,[],[f779,f662]) ).
fof(f784,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,[],[f780,f513]) ).
fof(f785,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,[],[f784,f726]) ).
fof(f786,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,[],[f785,f718]) ).
fof(f787,plain,
( segmentP(sK56,sK55)
| ~ ssList(nil)
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(superposition,[],[f786,f669]) ).
fof(f788,plain,
( ~ ssList(nil)
| spl59_2
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(forward_subsumption_resolution,[],[f787,f559]) ).
fof(f789,plain,
( $false
| spl59_2
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(forward_subsumption_resolution,[],[f788,f594]) ).
fof(f790,plain,
( spl59_2
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(avatar_contradiction_clause,[],[f789]) ).
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(s11,plain,
spl59_10,
inference(sat_conversion,[],[f600]) ).
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_10
| 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,[],[f756]) ).
cnf(s30,plain,
( spl59_2
| ~ spl59_4
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9
| ~ spl59_16
| ~ spl59_17
| ~ spl59_19 ),
inference(sat_conversion,[],[f790]) ).
cnf(s33,plain,
spl59_12,
inference(rat,[],[s14,s17]) ).
cnf(s34,plain,
spl59_1,
inference(rat,[],[s18,s22,s2,s8,s21,s11]) ).
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(f791,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC345+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n026.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 09:14:26 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 6.52/1.75 % (3712831)Detected formulas, will run a generic FOF schedule.
% 6.52/1.75 % (3712838)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=949153380:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.52/1.75 % (3712842)dis-21_1_sil=8000:lcm=predicate:random_seed=1224108043: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)
% 6.52/1.75 % (3712839)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1374335874:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.52/1.75 % (3712840)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2333538442:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.52/1.75 % (3712837)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=1223270647:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.52/1.75 % (3712836)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=2316829793:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.52/1.75 % (3712841)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2073334651:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.52/1.75 % (3712839)Refutation not found, incomplete strategy
% 6.52/1.75 % (3712839)------------------------------
% 6.52/1.75 % (3712839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712839)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712839)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.75 % (3712839)Time elapsed: 0.005 s
% 6.52/1.75 % (3712839)Peak memory usage: 88 MB
% 6.52/1.75 % (3712839)Instructions burned: 6 (million)
% 6.52/1.75 % (3712840)Instruction limit reached!
% 6.52/1.75 % (3712840)------------------------------
% 6.52/1.75 % (3712840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712840)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712840)Termination reason: Instruction limit
% 6.52/1.75 % (3712840)Termination phase: Saturation
% 6.52/1.75 % (3712840)Time elapsed: 0.069 s
% 6.52/1.75 % (3712840)Peak memory usage: 88 MB
% 6.52/1.75 % (3712840)Instructions burned: 119 (million)
% 6.52/1.75 % (3712842)Instruction limit reached!
% 6.52/1.75 % (3712842)------------------------------
% 6.52/1.75 % (3712842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712842)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712842)Termination reason: Instruction limit
% 6.52/1.75 % (3712842)Termination phase: Saturation
% 6.52/1.75 % (3712842)Time elapsed: 0.072 s
% 6.52/1.75 % (3712842)Peak memory usage: 90 MB
% 6.52/1.75 % (3712842)Instructions burned: 129 (million)
% 6.52/1.75 % (3712841)Instruction limit reached!
% 6.52/1.75 % (3712841)------------------------------
% 6.52/1.75 % (3712841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712841)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712841)Termination reason: Instruction limit
% 6.52/1.75 % (3712841)Termination phase: Saturation
% 6.52/1.75 % (3712841)Time elapsed: 0.093 s
% 6.52/1.75 % (3712841)Peak memory usage: 90 MB
% 6.52/1.75 % (3712841)Instructions burned: 139 (million)
% 6.52/1.75 % (3712850)lrs+10_1_sil=8000:sp=occurrence:random_seed=903425679:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.52/1.75 % (3712851)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1111751120:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.52/1.75 % (3712852)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2005116565:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.52/1.75 % (3712839)------------------------------
% 6.52/1.75 % (3712839)------------------------------
% 6.52/1.75 % (3712851)Instruction limit reached!
% 6.52/1.75 % (3712851)------------------------------
% 6.52/1.75 % (3712851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712851)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712851)Termination reason: Instruction limit
% 6.52/1.75 % (3712851)Termination phase: Saturation
% 6.52/1.75 % (3712851)Time elapsed: 0.075 s
% 6.52/1.75 % (3712851)Peak memory usage: 92 MB
% 6.52/1.75 % (3712851)Instructions burned: 157 (million)
% 6.52/1.75 % (3712857)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=641139037:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.52/1.75 % (3712850)Instruction limit reached!
% 6.52/1.75 % (3712850)------------------------------
% 6.52/1.75 % (3712850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712850)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712850)Termination reason: Instruction limit
% 6.52/1.75 % (3712850)Termination phase: Saturation
% 6.52/1.75 % (3712850)Time elapsed: 0.165 s
% 6.52/1.75 % (3712850)Peak memory usage: 93 MB
% 6.52/1.75 % (3712850)Instructions burned: 286 (million)
% 6.52/1.75 % (3712856)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=4070504288:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.52/1.75 % (3712852)Instruction limit reached!
% 6.52/1.75 % (3712852)------------------------------
% 6.52/1.75 % (3712852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712852)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712852)Termination reason: Instruction limit
% 6.52/1.75 % (3712852)Termination phase: Saturation
% 6.52/1.75 % (3712852)Time elapsed: 0.204 s
% 6.52/1.75 % (3712852)Peak memory usage: 92 MB
% 6.52/1.75 % (3712852)Instructions burned: 325 (million)
% 6.52/1.75 % (3712857)Instruction limit reached!
% 6.52/1.75 % (3712857)------------------------------
% 6.52/1.75 % (3712857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712857)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712857)Termination reason: Instruction limit
% 6.52/1.75 % (3712857)Termination phase: Saturation
% 6.52/1.75 % (3712857)Time elapsed: 0.094 s
% 6.52/1.75 % (3712857)Peak memory usage: 90 MB
% 6.52/1.75 % (3712857)Instructions burned: 297 (million)
% 6.52/1.75 % (3712859)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2086476497:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.52/1.75 % (3712856)Instruction limit reached!
% 6.52/1.75 % (3712856)------------------------------
% 6.52/1.75 % (3712856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712856)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712856)Termination reason: Instruction limit
% 6.52/1.75 % (3712856)Termination phase: Saturation
% 6.52/1.75 % (3712856)Time elapsed: 0.123 s
% 6.52/1.75 % (3712856)Peak memory usage: 93 MB
% 6.52/1.75 % (3712856)Instructions burned: 248 (million)
% 6.52/1.75 % (3712862)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4011034182:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.52/1.75 % (3712862)Instruction limit reached!
% 6.52/1.75 % (3712862)------------------------------
% 6.52/1.75 % (3712862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712862)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712862)Termination reason: Instruction limit
% 6.52/1.75 % (3712862)Termination phase: Saturation
% 6.52/1.75 % (3712862)Time elapsed: 0.034 s
% 6.52/1.75 % (3712862)Peak memory usage: 89 MB
% 6.52/1.75 % (3712862)Instructions burned: 129 (million)
% 6.52/1.75 % (3712861)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=243145089:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.52/1.75 % (3712864)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1678255167:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.52/1.75 % (3712861)Instruction limit reached!
% 6.52/1.75 % (3712861)------------------------------
% 6.52/1.75 % (3712861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712861)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712861)Termination reason: Instruction limit
% 6.52/1.75 % (3712861)Termination phase: Saturation
% 6.52/1.75 % (3712861)Time elapsed: 0.075 s
% 6.52/1.75 % (3712861)Peak memory usage: 91 MB
% 6.52/1.75 % (3712861)Instructions burned: 114 (million)
% 6.52/1.75 % (3712866)lrs+10_1_sil=8000:sp=occurrence:random_seed=1410097375:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.52/1.75 % (3712836)First to succeed.
% 6.52/1.75 % (3712836)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3712831"
% 6.52/1.75 % (3712864)Instruction limit reached!
% 6.52/1.75 % (3712864)------------------------------
% 6.52/1.75 % (3712864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.75 % (3712864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.75 % (3712864)CaDiCaL version: 2.1.3
% 6.52/1.75 % (3712864)Termination reason: Instruction limit
% 6.52/1.75 % (3712864)Termination phase: Saturation
% 6.52/1.75 % (3712864)Time elapsed: 0.070 s
% 6.52/1.75 % (3712864)Peak memory usage: 89 MB
% 6.52/1.75 % (3712864)Instructions burned: 114 (million)
% 6.52/1.75 % (3712869)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1831994953:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.52/1.75 % (3712871)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1529564459:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.52/1.75 % (3712836)Refutation found. Thanks to Tanya!
% 6.52/1.75 % SZS status Theorem for theBenchmark
% 6.52/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 8.28/1.94 % (3712836)------------------------------
% 8.28/1.94 % (3712836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/1.94 % (3712836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/1.94 % (3712836)CaDiCaL version: 2.1.3
% 8.28/1.94 % (3712836)Termination reason: Refutation
% 8.28/1.94 % (3712836)Time elapsed: 0.674 s
% 8.28/1.94 % (3712836)Peak memory usage: 130 MB
% 8.28/1.94 % (3712836)Instructions burned: 1010 (million)
% 8.28/1.94 % (3712836)------------------------------
% 8.28/1.94 % (3712836)------------------------------
% 8.28/1.94 % (3712831)Success in time 1.082 s
% 8.28/1.94 % Vampire exiting
%------------------------------------------------------------------------------