%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC115+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:31 PM UTC 2026
% Result : Theorem 3.23s 1.36s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 25
% Syntax : Number of formulae : 185 ( 19 unt; 13 def)
% Number of atoms : 709 ( 106 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 917 ( 393 ~; 399 |; 76 &)
% ( 19 <=>; 30 =>; 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 : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn 137 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X0,X1)
& segmentP(X1,X2) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
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
| ( nil = X1
& nil = 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 ) )
| ( neq(X0,nil)
& segmentP(X1,X0) ) ) ) ) ) ),
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
| ( nil = X1
& nil = 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 ) )
| ( neq(X0,nil)
& segmentP(X1,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(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f168]) ).
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
& ( nil != X1
| nil != 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 ) )
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( nil != X1
| nil != 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 ) )
& ( ~ neq(X0,nil)
| ~ segmentP(X1,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(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ( nil != sK54
| nil != 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 ) )
& ( ~ neq(sK53,nil)
| ~ segmentP(sK54,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(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f390,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f403,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f438,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f477,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f482,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f498,plain,
ssList(sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f499,plain,
ssList(sK56),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( ~ neq(sK53,nil)
| ~ segmentP(sK54,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,
( nil != sK54
| nil != sK53 ),
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f517,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f318]) ).
fof(f547,definition,
( spl58_1
<=> segmentP(sK54,sK53) ),
introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).
fof(f549,plain,
( ~ segmentP(sK54,sK53)
| spl58_1 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,definition,
( spl58_2
<=> neq(sK53,nil) ),
introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).
fof(f553,plain,
( ~ neq(sK53,nil)
| spl58_2 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(avatar_split_clause,[],[f500,f551,f547]) ).
fof(f556,definition,
( spl58_3
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl58_3])],[avatar_definition]) ).
fof(f557,plain,
( nil != sK55
| spl58_3 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( nil = sK55
| ~ spl58_3 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl58_4
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
fof(f562,plain,
( ssItem(sK57)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( spl58_3
| spl58_4 ),
inference(avatar_split_clause,[],[f501,f560,f556]) ).
fof(f565,definition,
( spl58_5
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).
fof(f568,plain,
( spl58_5
| spl58_4 ),
inference(avatar_split_clause,[],[f502,f560,f565]) ).
fof(f575,definition,
( spl58_7
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl58_7])],[avatar_definition]) ).
fof(f577,plain,
( memberP(sK56,sK57)
| ~ spl58_7 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( spl58_3
| spl58_7 ),
inference(avatar_split_clause,[],[f505,f575,f556]) ).
fof(f581,definition,
( spl58_8
<=> sK55 = cons(sK57,nil) ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
fof(f583,plain,
( sK55 = cons(sK57,nil)
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f584,plain,
( spl58_3
| spl58_8 ),
inference(avatar_split_clause,[],[f507,f581,f556]) ).
fof(f585,plain,
( spl58_5
| spl58_8 ),
inference(avatar_split_clause,[],[f508,f581,f565]) ).
fof(f587,definition,
( spl58_9
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl58_9])],[avatar_definition]) ).
fof(f589,plain,
( nil != sK53
| spl58_9 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f591,definition,
( spl58_10
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl58_10])],[avatar_definition]) ).
fof(f593,plain,
( nil != sK54
| spl58_10 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f594,plain,
( ~ spl58_9
| ~ spl58_10 ),
inference(avatar_split_clause,[],[f509,f591,f587]) ).
fof(f596,definition,
( spl58_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl58_11])],[avatar_definition]) ).
fof(f597,plain,
( ssList(nil)
| ~ spl58_11 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f629,plain,
spl58_11,
inference(avatar_split_clause,[],[f389,f596]) ).
fof(f632,plain,
( ~ neq(sK55,nil)
| spl58_2 ),
inference(forward_demodulation,[],[f553,f510]) ).
fof(f637,plain,
( nil != sK55
| spl58_9 ),
inference(forward_demodulation,[],[f589,f510]) ).
fof(f640,plain,
( nil != sK56
| spl58_10 ),
inference(forward_demodulation,[],[f593,f511]) ).
fof(f643,plain,
( nil = cons(sK57,nil)
| ~ spl58_3
| ~ spl58_8 ),
inference(forward_demodulation,[],[f583,f558]) ).
fof(f644,plain,
( ~ spl58_5
| spl58_10 ),
inference(avatar_split_clause,[],[f640,f591,f565]) ).
fof(f681,plain,
( nil != nil
| ~ ssItem(sK57)
| ~ ssList(nil)
| ~ spl58_3
| ~ spl58_8 ),
inference(superposition,[],[f390,f643]) ).
fof(f682,plain,
( ~ ssItem(sK57)
| ~ ssList(nil)
| ~ spl58_3
| ~ spl58_8 ),
inference(trivial_inequality_removal,[],[f681]) ).
fof(f683,plain,
( ~ ssList(nil)
| ~ spl58_3
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f682,f562]) ).
fof(f684,plain,
( $false
| ~ spl58_3
| ~ spl58_4
| ~ spl58_8
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f683,f597]) ).
fof(f685,plain,
( ~ spl58_3
| ~ spl58_4
| ~ spl58_8
| ~ spl58_11 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f688,plain,
( ~ spl58_3
| spl58_9 ),
inference(avatar_split_clause,[],[f637,f587,f556]) ).
fof(f726,plain,
( nil = sK55
| ~ ssList(nil)
| ~ ssList(sK55)
| spl58_2 ),
inference(resolution,[],[f387,f632]) ).
fof(f729,plain,
( ~ ssList(nil)
| ~ ssList(sK55)
| spl58_2
| spl58_3 ),
inference(forward_subsumption_resolution,[],[f726,f557]) ).
fof(f730,plain,
( ~ ssList(sK55)
| spl58_2
| spl58_3
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f729,f597]) ).
fof(f731,plain,
( $false
| spl58_2
| spl58_3
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f730,f498]) ).
fof(f732,plain,
( spl58_2
| spl58_3
| ~ spl58_11 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f733,plain,
( ~ segmentP(sK54,sK55)
| spl58_1 ),
inference(forward_demodulation,[],[f549,f510]) ).
fof(f735,plain,
( ~ segmentP(sK56,sK55)
| spl58_1 ),
inference(forward_demodulation,[],[f733,f511]) ).
fof(f911,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssItem(sK57)
| ~ ssList(X0) )
| ~ spl58_8 ),
inference(superposition,[],[f477,f583]) ).
fof(f920,plain,
( ! [X0] :
( cons(sK57,X0) = app(sK55,X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f911,f562]) ).
fof(f1104,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(superposition,[],[f401,f920]) ).
fof(f1105,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0)
| ~ ssList(sK55) )
| ~ spl58_4
| ~ spl58_8 ),
inference(duplicate_literal_removal,[],[f1104]) ).
fof(f1111,plain,
( ! [X0] :
( ssList(cons(sK57,X0))
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8 ),
inference(forward_subsumption_resolution,[],[f1105,f498]) ).
fof(f1288,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(sK55)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_1 ),
inference(resolution,[],[f438,f735]) ).
fof(f1292,plain,
( ! [X0] :
( ~ segmentP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(X0)
| ~ ssList(sK56) )
| spl58_1 ),
inference(forward_subsumption_resolution,[],[f1288,f498]) ).
fof(f1294,plain,
( ! [X0] :
( ~ segmentP(X0,sK55)
| ~ segmentP(sK56,X0)
| ~ ssList(X0) )
| spl58_1 ),
inference(forward_subsumption_resolution,[],[f1292,f499]) ).
fof(f1768,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7 ),
inference(resolution,[],[f302,f577]) ).
fof(f1777,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f1768,f562]) ).
fof(f1787,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_7 ),
inference(forward_subsumption_resolution,[],[f1777,f499]) ).
fof(f2090,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f517,f403]) ).
fof(f2096,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f517,f482]) ).
fof(f2097,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f2096]) ).
fof(f2100,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f2090]) ).
fof(f2106,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f2097,f401]) ).
fof(f2109,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f2100,f401]) ).
fof(f2112,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f2106,f597]) ).
fof(f2114,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f2109,f597]) ).
fof(f2429,definition,
( spl58_48
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl58_48])],[avatar_definition]) ).
fof(f2430,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl58_48 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f2431,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl58_48 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f2433,definition,
( spl58_49
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_49])],[avatar_definition]) ).
fof(f2434,plain,
( ssList(sK8(sK56,sK57))
| ~ spl58_49 ),
inference(avatar_component_clause,[],[f2433]) ).
fof(f2435,plain,
( ~ ssList(sK8(sK56,sK57))
| spl58_49 ),
inference(avatar_component_clause,[],[f2433]) ).
fof(f2488,definition,
( spl58_61
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl58_61])],[avatar_definition]) ).
fof(f2489,plain,
( ssList(sK9(sK56,sK57))
| ~ spl58_61 ),
inference(avatar_component_clause,[],[f2488]) ).
fof(f2490,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_61 ),
inference(avatar_component_clause,[],[f2488]) ).
fof(f2495,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_49 ),
inference(resolution,[],[f2435,f304]) ).
fof(f2496,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7
| spl58_49 ),
inference(forward_subsumption_resolution,[],[f2495,f577]) ).
fof(f2497,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7
| spl58_49 ),
inference(forward_subsumption_resolution,[],[f2496,f562]) ).
fof(f2498,plain,
( $false
| ~ spl58_4
| ~ spl58_7
| spl58_49 ),
inference(forward_subsumption_resolution,[],[f2497,f499]) ).
fof(f2499,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_49 ),
inference(avatar_contradiction_clause,[],[f2498]) ).
fof(f2526,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl58_61 ),
inference(resolution,[],[f2490,f303]) ).
fof(f2527,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl58_7
| spl58_61 ),
inference(forward_subsumption_resolution,[],[f2526,f577]) ).
fof(f2528,plain,
( ~ ssList(sK56)
| ~ spl58_4
| ~ spl58_7
| spl58_61 ),
inference(forward_subsumption_resolution,[],[f2527,f562]) ).
fof(f2529,plain,
( $false
| ~ spl58_4
| ~ spl58_7
| spl58_61 ),
inference(forward_subsumption_resolution,[],[f2528,f499]) ).
fof(f2530,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_61 ),
inference(avatar_contradiction_clause,[],[f2529]) ).
fof(f2545,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl58_48 ),
inference(resolution,[],[f2431,f388]) ).
fof(f2546,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl58_4
| spl58_48 ),
inference(forward_subsumption_resolution,[],[f2545,f562]) ).
fof(f2549,plain,
( $false
| ~ spl58_4
| spl58_48
| ~ spl58_61 ),
inference(forward_subsumption_resolution,[],[f2546,f2489]) ).
fof(f2550,plain,
( ~ spl58_4
| spl58_48
| ~ spl58_61 ),
inference(avatar_contradiction_clause,[],[f2549]) ).
fof(f3375,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_11 ),
inference(superposition,[],[f2112,f1787]) ).
fof(f3397,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK8(sK56,sK57))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_11
| ~ spl58_48 ),
inference(forward_subsumption_resolution,[],[f3375,f2430]) ).
fof(f3407,plain,
( segmentP(sK56,cons(sK57,sK9(sK56,sK57)))
| ~ spl58_4
| ~ spl58_7
| ~ spl58_11
| ~ spl58_48
| ~ spl58_49 ),
inference(forward_subsumption_resolution,[],[f3397,f2434]) ).
fof(f3433,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(sK55)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_11 ),
inference(superposition,[],[f2114,f920]) ).
fof(f3436,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_11 ),
inference(duplicate_literal_removal,[],[f3433]) ).
fof(f3448,plain,
( ! [X0] :
( segmentP(cons(sK57,X0),sK55)
| ~ ssList(X0) )
| ~ spl58_4
| ~ spl58_8
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f3436,f498]) ).
fof(f4205,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(cons(sK57,X0)) )
| spl58_1
| ~ spl58_4
| ~ spl58_8
| ~ spl58_11 ),
inference(resolution,[],[f3448,f1294]) ).
fof(f4215,plain,
( ! [X0] :
( ~ segmentP(sK56,cons(sK57,X0))
| ~ ssList(X0) )
| spl58_1
| ~ spl58_4
| ~ spl58_8
| ~ spl58_11 ),
inference(forward_subsumption_resolution,[],[f4205,f1111]) ).
fof(f4542,plain,
( ~ ssList(sK9(sK56,sK57))
| spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_11
| ~ spl58_48
| ~ spl58_49 ),
inference(resolution,[],[f4215,f3407]) ).
fof(f4548,plain,
( $false
| spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_11
| ~ spl58_48
| ~ spl58_49
| ~ spl58_61 ),
inference(forward_subsumption_resolution,[],[f4542,f2489]) ).
fof(f4549,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_11
| ~ spl58_48
| ~ spl58_49
| ~ spl58_61 ),
inference(avatar_contradiction_clause,[],[f4548]) ).
cnf(s1,plain,
( ~ spl58_1
| ~ spl58_2 ),
inference(sat_conversion,[],[f554]) ).
cnf(s2,plain,
( spl58_3
| spl58_4 ),
inference(sat_conversion,[],[f563]) ).
cnf(s3,plain,
( spl58_4
| spl58_5 ),
inference(sat_conversion,[],[f568]) ).
cnf(s6,plain,
( spl58_3
| spl58_7 ),
inference(sat_conversion,[],[f578]) ).
cnf(s8,plain,
( spl58_3
| spl58_8 ),
inference(sat_conversion,[],[f584]) ).
cnf(s9,plain,
( spl58_5
| spl58_8 ),
inference(sat_conversion,[],[f585]) ).
cnf(s10,plain,
( ~ spl58_9
| ~ spl58_10 ),
inference(sat_conversion,[],[f594]) ).
cnf(s19,plain,
spl58_11,
inference(sat_conversion,[],[f629]) ).
cnf(s24,plain,
( ~ spl58_5
| spl58_10 ),
inference(sat_conversion,[],[f644]) ).
cnf(s26,plain,
( ~ spl58_3
| ~ spl58_4
| ~ spl58_8
| ~ spl58_11 ),
inference(sat_conversion,[],[f685]) ).
cnf(s29,plain,
( ~ spl58_3
| spl58_9 ),
inference(sat_conversion,[],[f688]) ).
cnf(s32,plain,
( spl58_2
| spl58_3
| ~ spl58_11 ),
inference(sat_conversion,[],[f732]) ).
cnf(s84,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_49 ),
inference(sat_conversion,[],[f2499]) ).
cnf(s85,plain,
( ~ spl58_4
| ~ spl58_7
| spl58_61 ),
inference(sat_conversion,[],[f2530]) ).
cnf(s87,plain,
( ~ spl58_4
| spl58_48
| ~ spl58_61 ),
inference(sat_conversion,[],[f2550]) ).
cnf(s184,plain,
( spl58_1
| ~ spl58_4
| ~ spl58_7
| ~ spl58_8
| ~ spl58_11
| ~ spl58_48
| ~ spl58_49
| ~ spl58_61 ),
inference(sat_conversion,[],[f4549]) ).
cnf(s198,plain,
~ spl58_3,
inference(rat,[],[s26,s3,s9,s24,s10,s29,s19]) ).
cnf(s201,plain,
spl58_2,
inference(rat,[],[s32,s19,s198]) ).
cnf(s203,plain,
spl58_8,
inference(rat,[],[s8,s198]) ).
cnf(s204,plain,
spl58_7,
inference(rat,[],[s6,s198]) ).
cnf(s206,plain,
spl58_4,
inference(rat,[],[s2,s198]) ).
cnf(s208,plain,
spl58_61,
inference(rat,[],[s85,s204,s206]) ).
cnf(s209,plain,
spl58_49,
inference(rat,[],[s84,s204,s206]) ).
cnf(s222,plain,
spl58_48,
inference(rat,[],[s87,s206,s208]) ).
cnf(s225,plain,
spl58_1,
inference(rat,[],[s184,s208,s206,s204,s19,s203,s222,s209]) ).
cnf(s226,plain,
$false,
inference(rat,[],[s1,s201,s225]) ).
fof(f4551,plain,
$false,
inference(avatar_sat_refutation,[],[s226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC115+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:01:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/1.36 % (199267)Detected formulas, will run a generic FOF schedule.
% 3.23/1.36 % (199276)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2797132120:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.23/1.36 % (199272)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=3085851963:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.23/1.36 % (199276)Instruction limit reached!
% 3.23/1.36 % (199276)------------------------------
% 3.23/1.36 % (199276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.36 % (199276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.36 % (199276)CaDiCaL version: 2.1.3
% 3.23/1.36 % (199276)Termination reason: Instruction limit
% 3.23/1.36 % (199276)Termination phase: Saturation
% 3.23/1.36 % (199276)Time elapsed: 0.040 s
% 3.23/1.36 % (199276)Peak memory usage: 89 MB
% 3.23/1.36 % (199276)Instructions burned: 120 (million)
% 3.23/1.36 % (199273)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=1647037514:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.23/1.36 % (199274)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=1592939204:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.23/1.36 % (199278)dis-21_1_sil=8000:lcm=predicate:random_seed=3384549002: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)
% 3.23/1.36 % (199275)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3618270754:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.23/1.36 % (199277)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1238053851:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.23/1.36 % (199275)Refutation not found, incomplete strategy
% 3.23/1.36 % (199275)------------------------------
% 3.23/1.36 % (199275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.36 % (199275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.36 % (199275)CaDiCaL version: 2.1.3
% 3.23/1.36 % (199275)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.36 % (199275)Time elapsed: 0.005 s
% 3.23/1.36 % (199275)Peak memory usage: 88 MB
% 3.23/1.36 % (199275)Instructions burned: 5 (million)
% 3.23/1.36 % (199278)Instruction limit reached!
% 3.23/1.36 % (199278)------------------------------
% 3.23/1.36 % (199278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.36 % (199278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.36 % (199278)CaDiCaL version: 2.1.3
% 3.23/1.36 % (199278)Termination reason: Instruction limit
% 3.23/1.36 % (199278)Termination phase: Saturation
% 3.23/1.36 % (199278)Time elapsed: 0.074 s
% 3.23/1.36 % (199278)Peak memory usage: 90 MB
% 3.23/1.36 % (199278)Instructions burned: 129 (million)
% 3.23/1.36 % (199281)lrs+10_1_sil=8000:sp=occurrence:random_seed=221274261:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.23/1.36 % (199277)First to succeed.
% 3.23/1.36 % (199277)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-199267"
% 3.23/1.36 % (199281)Instruction limit reached!
% 3.23/1.36 % (199281)------------------------------
% 3.23/1.36 % (199281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.36 % (199281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.36 % (199281)CaDiCaL version: 2.1.3
% 3.23/1.36 % (199281)Termination reason: Instruction limit
% 3.23/1.36 % (199281)Termination phase: Saturation
% 3.23/1.36 % (199281)Time elapsed: 0.093 s
% 3.23/1.36 % (199281)Peak memory usage: 93 MB
% 3.23/1.36 % (199281)Instructions burned: 286 (million)
% 3.23/1.36 % (199288)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3931934074:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.23/1.36 % (199275)------------------------------
% 3.23/1.36 % (199275)------------------------------
% 3.23/1.36 % (199289)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3626078250:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.23/1.36 % (199288)Instruction limit reached!
% 3.23/1.36 % (199288)------------------------------
% 3.23/1.36 % (199288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.36 % (199288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.36 % (199288)CaDiCaL version: 2.1.3
% 3.23/1.36 % (199288)Termination reason: Instruction limit
% 3.23/1.36 % (199288)Termination phase: Saturation
% 3.23/1.36 % (199288)Time elapsed: 0.078 s
% 3.23/1.36 % (199288)Peak memory usage: 91 MB
% 3.23/1.36 % (199288)Instructions burned: 160 (million)
% 3.23/1.36 % (199277)Refutation found. Thanks to Tanya!
% 3.23/1.36 % SZS status Theorem for theBenchmark
% 3.23/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 4.10/1.45 % (199277)------------------------------
% 4.10/1.45 % (199277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.45 % (199277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.45 % (199277)CaDiCaL version: 2.1.3
% 4.10/1.45 % (199277)Termination reason: Refutation
% 4.10/1.45 % (199277)Time elapsed: 0.097 s
% 4.10/1.45 % (199277)Peak memory usage: 91 MB
% 4.10/1.45 % (199277)Instructions burned: 143 (million)
% 4.10/1.45 % (199277)------------------------------
% 4.10/1.45 % (199277)------------------------------
% 4.10/1.45 % (199267)Success in time 0.511 s
% 4.10/1.45 % Vampire exiting
%------------------------------------------------------------------------------