%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC368+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:40 PM UTC 2026
% Result : Theorem 4.37s 1.35s
% Output : Refutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 172 ( 23 unt; 11 def)
% Number of atoms : 673 ( 107 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 892 ( 391 ~; 389 |; 68 &)
% ( 16 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 153 ( 0 sgn 125 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(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)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X5,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)
| ? [X5] :
( ssItem(X5)
& X4 != X5
& memberP(X3,X5)
& leq(X5,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)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X5,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)
& ! [X5] :
( ~ ssItem(X5)
| X4 = X5
| ~ memberP(X3,X5)
| ~ leq(X5,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)
& ! [X5] :
( ~ ssItem(X5)
| sK57 = X5
| ~ memberP(sK56,X5)
| ~ leq(X5,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(f504,plain,
( memberP(sK56,sK57)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
( sK55 = cons(sK57,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
( sK55 = cons(sK57,nil)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
~ segmentP(sK54,sK53),
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),
inference(definition_unfolding,[],[f508,f510,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,[],[f507,f542]) ).
fof(f544,plain,
( sK55 = sF58
| nil = sK55 ),
inference(definition_folding,[],[f506,f542]) ).
fof(f553,definition,
( spl59_1
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl59_1])],[avatar_definition]) ).
fof(f555,plain,
( nil = sK55
| ~ spl59_1 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f557,definition,
( spl59_2
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl59_2])],[avatar_definition]) ).
fof(f559,plain,
( ssItem(sK57)
| ~ spl59_2 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f560,plain,
( spl59_1
| spl59_2 ),
inference(avatar_split_clause,[],[f500,f557,f553]) ).
fof(f562,definition,
( spl59_3
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl59_3])],[avatar_definition]) ).
fof(f564,plain,
( nil = sK56
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f565,plain,
( spl59_3
| spl59_2 ),
inference(avatar_split_clause,[],[f501,f557,f562]) ).
fof(f572,definition,
( spl59_5
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl59_5])],[avatar_definition]) ).
fof(f574,plain,
( memberP(sK56,sK57)
| ~ spl59_5 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f575,plain,
( spl59_1
| spl59_5 ),
inference(avatar_split_clause,[],[f504,f572,f553]) ).
fof(f578,definition,
( spl59_6
<=> sK55 = sF58 ),
introduced(definition,[new_symbols(definition,[spl59_6])],[avatar_definition]) ).
fof(f580,plain,
( sK55 = sF58
| ~ spl59_6 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f581,plain,
( spl59_1
| spl59_6 ),
inference(avatar_split_clause,[],[f544,f578,f553]) ).
fof(f582,plain,
( spl59_3
| spl59_6 ),
inference(avatar_split_clause,[],[f543,f578,f562]) ).
fof(f584,definition,
( spl59_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl59_7])],[avatar_definition]) ).
fof(f585,plain,
( ssList(nil)
| ~ spl59_7 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f598,definition,
( spl59_10
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl59_10])],[avatar_definition]) ).
fof(f600,plain,
( segmentP(nil,nil)
| ~ spl59_10 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( ~ spl59_7
| spl59_10 ),
inference(avatar_split_clause,[],[f533,f598,f584]) ).
fof(f612,plain,
spl59_7,
inference(avatar_split_clause,[],[f389,f584]) ).
fof(f621,plain,
sK55 = app(nil,sK55),
inference(resolution,[],[f403,f513]) ).
fof(f626,plain,
! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) ),
inference(superposition,[],[f519,f621]) ).
fof(f627,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f626,f585]) ).
fof(f628,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f627,f513]) ).
fof(f632,plain,
sK56 = app(sK56,nil),
inference(resolution,[],[f482,f512]) ).
fof(f637,plain,
( nil != sF58
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f542]) ).
fof(f638,plain,
( nil != sF58
| ~ ssList(nil)
| ~ spl59_2 ),
inference(forward_subsumption_resolution,[],[f637,f559]) ).
fof(f639,plain,
( nil != sF58
| ~ spl59_2
| ~ spl59_7 ),
inference(forward_subsumption_resolution,[],[f638,f585]) ).
fof(f640,plain,
( nil != sK55
| ~ spl59_2
| ~ spl59_6
| ~ spl59_7 ),
inference(forward_demodulation,[],[f639,f580]) ).
fof(f641,plain,
( ~ spl59_1
| ~ spl59_2
| ~ spl59_6
| ~ spl59_7 ),
inference(avatar_split_clause,[],[f640,f584,f578,f557,f553]) ).
fof(f642,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_5 ),
inference(resolution,[],[f302,f574]) ).
fof(f647,definition,
( spl59_13
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl59_13])],[avatar_definition]) ).
fof(f648,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl59_13 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl59_13 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f651,definition,
( spl59_14
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_14])],[avatar_definition]) ).
fof(f652,plain,
( ssList(sK8(sK56,sK57))
| ~ spl59_14 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( ~ ssList(sK8(sK56,sK57))
| spl59_14 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f658,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl59_13 ),
inference(resolution,[],[f649,f388]) ).
fof(f659,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl59_2
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f658,f559]) ).
fof(f660,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_2
| spl59_13 ),
inference(resolution,[],[f303,f659]) ).
fof(f663,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_5
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f660,f574]) ).
fof(f664,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_5
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f663,f559]) ).
fof(f665,plain,
( $false
| ~ spl59_2
| ~ spl59_5
| spl59_13 ),
inference(forward_subsumption_resolution,[],[f664,f512]) ).
fof(f666,plain,
( ~ spl59_2
| ~ spl59_5
| spl59_13 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f672,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(f675,plain,
( ! [X0] :
( cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57))
| ~ ssItem(X0)
| ~ ssItem(sK57)
| ~ ssList(sK56) )
| ~ spl59_5 ),
inference(resolution,[],[f672,f574]) ).
fof(f676,plain,
( ! [X0] :
( cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57))
| ~ ssItem(X0)
| ~ ssList(sK56) )
| ~ spl59_2
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f675,f559]) ).
fof(f677,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_2
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f676,f512]) ).
fof(f678,plain,
( cons(sK57,sK9(sK56,sK57)) = app(cons(sK57,nil),sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_5 ),
inference(resolution,[],[f677,f559]) ).
fof(f679,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sF58,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_5 ),
inference(forward_demodulation,[],[f678,f542]) ).
fof(f680,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sK55,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6 ),
inference(forward_demodulation,[],[f679,f580]) ).
fof(f681,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_13 ),
inference(superposition,[],[f648,f680]) ).
fof(f688,definition,
( spl59_16
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_16])],[avatar_definition]) ).
fof(f689,plain,
( ssList(sK9(sK56,sK57))
| ~ spl59_16 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f690,plain,
( ~ ssList(sK9(sK56,sK57))
| spl59_16 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f696,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_16 ),
inference(resolution,[],[f690,f303]) ).
fof(f697,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_5
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f696,f574]) ).
fof(f698,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_5
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f697,f559]) ).
fof(f699,plain,
( $false
| ~ spl59_2
| ~ spl59_5
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f698,f512]) ).
fof(f700,plain,
( ~ spl59_2
| ~ spl59_5
| spl59_16 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f701,plain,
( ~ segmentP(nil,sK55)
| ~ spl59_3 ),
inference(superposition,[],[f511,f564]) ).
fof(f710,plain,
( ~ segmentP(nil,nil)
| ~ spl59_1
| ~ spl59_3 ),
inference(forward_demodulation,[],[f701,f555]) ).
fof(f711,plain,
( $false
| ~ spl59_1
| ~ spl59_3
| ~ spl59_10 ),
inference(forward_subsumption_resolution,[],[f710,f600]) ).
fof(f712,plain,
( ~ spl59_1
| ~ spl59_3
| ~ spl59_10 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f719,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f642,f559]) ).
fof(f720,plain,
( ! [X0] :
( cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57))
| ~ ssItem(X0)
| ~ ssList(sK56) )
| ~ spl59_2
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f675,f559]) ).
fof(f723,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl59_2
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f719,f512]) ).
fof(f724,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_2
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f720,f512]) ).
fof(f737,plain,
( cons(sK57,sK9(sK56,sK57)) = app(cons(sK57,nil),sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_5 ),
inference(resolution,[],[f724,f559]) ).
fof(f738,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sF58,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_5 ),
inference(forward_demodulation,[],[f737,f542]) ).
fof(f739,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sK55,sK9(sK56,sK57))
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6 ),
inference(forward_demodulation,[],[f738,f580]) ).
fof(f756,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_14 ),
inference(resolution,[],[f304,f653]) ).
fof(f760,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_5
| spl59_14 ),
inference(forward_subsumption_resolution,[],[f756,f574]) ).
fof(f761,plain,
( ~ ssList(sK56)
| ~ spl59_2
| ~ spl59_5
| spl59_14 ),
inference(forward_subsumption_resolution,[],[f760,f559]) ).
fof(f762,plain,
( $false
| ~ spl59_2
| ~ spl59_5
| spl59_14 ),
inference(forward_subsumption_resolution,[],[f761,f512]) ).
fof(f763,plain,
( ~ spl59_2
| ~ spl59_5
| spl59_14 ),
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f776,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_5 ),
inference(superposition,[],[f441,f723]) ).
fof(f781,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_5
| ~ spl59_14 ),
inference(forward_subsumption_resolution,[],[f776,f652]) ).
fof(f786,plain,
( ! [X0,X1] :
( segmentP(app(sK56,X0),X1)
| ~ segmentP(cons(sK57,sK9(sK56,sK57)),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_2
| ~ spl59_5
| ~ spl59_13
| ~ spl59_14 ),
inference(forward_subsumption_resolution,[],[f781,f648]) ).
fof(f789,plain,
( ! [X0,X1] :
( ~ segmentP(app(sK55,sK9(sK56,sK57)),X1)
| segmentP(app(sK56,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_13
| ~ spl59_14 ),
inference(forward_demodulation,[],[f786,f739]) ).
fof(f790,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14 ),
inference(resolution,[],[f789,f628]) ).
fof(f794,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14 ),
inference(forward_subsumption_resolution,[],[f790,f513]) ).
fof(f795,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16 ),
inference(forward_subsumption_resolution,[],[f794,f689]) ).
fof(f796,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0) )
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16 ),
inference(forward_subsumption_resolution,[],[f795,f681]) ).
fof(f797,plain,
( segmentP(sK56,sK55)
| ~ ssList(nil)
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16 ),
inference(superposition,[],[f796,f632]) ).
fof(f798,plain,
( ~ ssList(nil)
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16 ),
inference(forward_subsumption_resolution,[],[f797,f511]) ).
fof(f799,plain,
( $false
| ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16 ),
inference(forward_subsumption_resolution,[],[f798,f585]) ).
fof(f800,plain,
( ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16 ),
inference(avatar_contradiction_clause,[],[f799]) ).
cnf(s1,plain,
( spl59_1
| spl59_2 ),
inference(sat_conversion,[],[f560]) ).
cnf(s2,plain,
( spl59_2
| spl59_3 ),
inference(sat_conversion,[],[f565]) ).
cnf(s5,plain,
( spl59_1
| spl59_5 ),
inference(sat_conversion,[],[f575]) ).
cnf(s7,plain,
( spl59_1
| spl59_6 ),
inference(sat_conversion,[],[f581]) ).
cnf(s8,plain,
( spl59_3
| spl59_6 ),
inference(sat_conversion,[],[f582]) ).
cnf(s13,plain,
( ~ spl59_7
| spl59_10 ),
inference(sat_conversion,[],[f601]) ).
cnf(s16,plain,
spl59_7,
inference(sat_conversion,[],[f612]) ).
cnf(s17,plain,
( ~ spl59_1
| ~ spl59_2
| ~ spl59_6
| ~ spl59_7 ),
inference(sat_conversion,[],[f641]) ).
cnf(s19,plain,
( ~ spl59_2
| ~ spl59_5
| spl59_13 ),
inference(sat_conversion,[],[f666]) ).
cnf(s21,plain,
( ~ spl59_2
| ~ spl59_5
| spl59_16 ),
inference(sat_conversion,[],[f700]) ).
cnf(s22,plain,
( ~ spl59_1
| ~ spl59_3
| ~ spl59_10 ),
inference(sat_conversion,[],[f712]) ).
cnf(s24,plain,
( ~ spl59_2
| ~ spl59_5
| spl59_14 ),
inference(sat_conversion,[],[f763]) ).
cnf(s25,plain,
( ~ spl59_2
| ~ spl59_5
| ~ spl59_6
| ~ spl59_7
| ~ spl59_13
| ~ spl59_14
| ~ spl59_16 ),
inference(sat_conversion,[],[f800]) ).
cnf(s28,plain,
spl59_10,
inference(rat,[],[s13,s16]) ).
cnf(s29,plain,
spl59_1,
inference(rat,[],[s25,s19,s21,s24,s1,s5,s7,s16]) ).
cnf(s30,plain,
~ spl59_3,
inference(rat,[],[s22,s28,s29]) ).
cnf(s31,plain,
spl59_6,
inference(rat,[],[s8,s30]) ).
cnf(s34,plain,
spl59_2,
inference(rat,[],[s2,s30]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s17,s16,s29,s31,s34]) ).
fof(f801,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC368+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:25:09 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 4.37/1.35 % (3502870)Detected formulas, will run a generic FOF schedule.
% 4.37/1.35 % (3502875)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=3453278930:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.37/1.35 % (3502879)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=338213235:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.37/1.35 % (3502880)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2832686918:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.37/1.35 % (3502876)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=1505322726:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.37/1.35 % (3502881)dis-21_1_sil=8000:lcm=predicate:random_seed=490770661:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.37/1.35 % (3502877)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=2960148486:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.37/1.35 % (3502878)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3968713795:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.37/1.35 % (3502878)Refutation not found, incomplete strategy
% 4.37/1.35 % (3502878)------------------------------
% 4.37/1.35 % (3502878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.35 % (3502878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.35 % (3502878)CaDiCaL version: 2.1.3
% 4.37/1.35 % (3502878)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.35 % (3502878)Time elapsed: 0.004 s
% 4.37/1.35 % (3502878)Peak memory usage: 88 MB
% 4.37/1.35 % (3502878)Instructions burned: 4 (million)
% 4.37/1.35 % (3502879)Instruction limit reached!
% 4.37/1.35 % (3502879)------------------------------
% 4.37/1.35 % (3502879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.35 % (3502879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.35 % (3502879)CaDiCaL version: 2.1.3
% 4.37/1.35 % (3502879)Termination reason: Instruction limit
% 4.37/1.35 % (3502879)Termination phase: Saturation
% 4.37/1.35 % (3502879)Time elapsed: 0.070 s
% 4.37/1.35 % (3502879)Peak memory usage: 88 MB
% 4.37/1.35 % (3502879)Instructions burned: 121 (million)
% 4.37/1.35 % (3502881)Instruction limit reached!
% 4.37/1.35 % (3502881)------------------------------
% 4.37/1.35 % (3502881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.35 % (3502881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.35 % (3502881)CaDiCaL version: 2.1.3
% 4.37/1.35 % (3502881)Termination reason: Instruction limit
% 4.37/1.35 % (3502881)Termination phase: Saturation
% 4.37/1.35 % (3502881)Time elapsed: 0.073 s
% 4.37/1.35 % (3502881)Peak memory usage: 90 MB
% 4.37/1.35 % (3502881)Instructions burned: 129 (million)
% 4.37/1.35 % (3502880)Instruction limit reached!
% 4.37/1.35 % (3502880)------------------------------
% 4.37/1.35 % (3502880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.35 % (3502880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.35 % (3502880)CaDiCaL version: 2.1.3
% 4.37/1.35 % (3502880)Termination reason: Instruction limit
% 4.37/1.35 % (3502880)Termination phase: Saturation
% 4.37/1.35 % (3502880)Time elapsed: 0.096 s
% 4.37/1.35 % (3502880)Peak memory usage: 90 MB
% 4.37/1.35 % (3502880)Instructions burned: 140 (million)
% 4.37/1.35 % (3502890)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3863183977:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.37/1.35 % (3502889)lrs+10_1_sil=8000:sp=occurrence:random_seed=1440459751:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.37/1.35 % (3502891)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2255739137:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.37/1.35 % (3502878)------------------------------
% 4.37/1.35 % (3502878)------------------------------
% 4.37/1.35 % (3502890)Instruction limit reached!
% 4.37/1.35 % (3502890)------------------------------
% 4.37/1.35 % (3502890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.35 % (3502890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.35 % (3502890)CaDiCaL version: 2.1.3
% 4.37/1.35 % (3502890)Termination reason: Instruction limit
% 4.37/1.35 % (3502890)Termination phase: Saturation
% 4.37/1.35 % (3502890)Time elapsed: 0.076 s
% 4.37/1.35 % (3502890)Peak memory usage: 91 MB
% 4.37/1.35 % (3502890)Instructions burned: 157 (million)
% 4.37/1.35 % (3502875)First to succeed.
% 4.37/1.35 % (3502875)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3502870"
% 4.37/1.35 % (3502889)Instruction limit reached!
% 4.37/1.35 % (3502889)------------------------------
% 4.37/1.35 % (3502889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.35 % (3502889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.35 % (3502889)CaDiCaL version: 2.1.3
% 4.37/1.35 % (3502889)Termination reason: Instruction limit
% 4.37/1.35 % (3502889)Termination phase: Saturation
% 4.37/1.35 % (3502889)Time elapsed: 0.176 s
% 4.37/1.35 % (3502889)Peak memory usage: 93 MB
% 4.37/1.35 % (3502889)Instructions burned: 286 (million)
% 4.37/1.35 % (3502895)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=2415273537:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.37/1.35 % (3502896)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3426766474:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.37/1.35 % (3502891)Instruction limit reached!
% 4.37/1.35 % (3502891)------------------------------
% 4.37/1.35 % (3502891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.35 % (3502891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.35 % (3502891)CaDiCaL version: 2.1.3
% 4.37/1.35 % (3502891)Termination reason: Instruction limit
% 4.37/1.35 % (3502891)Termination phase: Saturation
% 4.37/1.35 % (3502891)Time elapsed: 0.208 s
% 4.37/1.35 % (3502891)Peak memory usage: 92 MB
% 4.37/1.35 % (3502891)Instructions burned: 326 (million)
% 4.37/1.35 % (3502896)Also succeeded, but the first one will report.
% 4.37/1.35 % (3502895)Instruction limit reached!
% 4.37/1.35 % (3502895)------------------------------
% 4.37/1.35 % (3502895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.35 % (3502895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.35 % (3502895)CaDiCaL version: 2.1.3
% 4.37/1.35 % (3502895)Termination reason: Instruction limit
% 4.37/1.35 % (3502895)Termination phase: Saturation
% 4.37/1.35 % (3502895)Time elapsed: 0.120 s
% 4.37/1.35 % (3502895)Peak memory usage: 93 MB
% 4.37/1.35 % (3502895)Instructions burned: 249 (million)
% 4.37/1.35 % (3502898)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=412962536:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.37/1.35 % (3502875)Refutation found. Thanks to Tanya!
% 4.37/1.35 % SZS status Theorem for theBenchmark
% 4.37/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 5.46/1.54 % (3502875)------------------------------
% 5.46/1.54 % (3502875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.46/1.54 % (3502875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.46/1.54 % (3502875)CaDiCaL version: 2.1.3
% 5.46/1.54 % (3502875)Termination reason: Refutation
% 5.46/1.54 % (3502875)Time elapsed: 0.417 s
% 5.46/1.54 % (3502875)Peak memory usage: 132 MB
% 5.46/1.54 % (3502875)Instructions burned: 1014 (million)
% 5.46/1.54 % (3502875)------------------------------
% 5.46/1.54 % (3502875)------------------------------
% 5.46/1.54 % (3502870)Success in time 0.686 s
% 5.46/1.54 % Vampire exiting
%------------------------------------------------------------------------------