%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC390+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 : n010.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 01:03:46 PM UTC 2026
% Result : Theorem 6.62s 1.79s
% Output : Refutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 29
% Syntax : Number of formulae : 211 ( 27 unt; 17 def)
% Number of atoms : 801 ( 99 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1047 ( 457 ~; 460 |; 75 &)
% ( 26 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 17 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 163 ( 0 sgn 133 !; 30 ?)
% 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(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
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(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
| ( nil != X2
& nil = X3 )
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& neq(X3,nil) )
| ( segmentP(X1,X0)
& ( ~ neq(X1,nil)
| singletonP(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 != X2
& nil = X3 )
| ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) )
& neq(X3,nil) )
| ( segmentP(X1,X0)
& ( ~ neq(X1,nil)
| singletonP(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(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
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(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
& ( nil = X2
| nil != X3 )
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,X0)
| ( neq(X1,nil)
& ~ singletonP(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 = X2
| nil != X3 )
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ~ neq(X3,nil) )
& ( ~ segmentP(X1,X0)
| ( neq(X1,nil)
& ~ singletonP(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(f237,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ( ssItem(sK10(X0))
& cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).
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(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
& ( nil = sK55
| nil != sK56 )
& ( ( sK55 = cons(sK57,nil)
& memberP(sK56,sK57)
& ssItem(sK57) )
| ~ neq(sK56,nil) )
& ( ~ segmentP(sK54,sK53)
| ( neq(sK54,nil)
& ~ singletonP(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(f308,plain,
! [X0,X1] :
( singletonP(X0)
| ~ ssItem(X1)
| cons(X1,nil) != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
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(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,
( ~ segmentP(sK54,sK53)
| ~ singletonP(sK53) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( ~ segmentP(sK54,sK53)
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( ssItem(sK57)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( memberP(sK56,sK57)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( sK55 = cons(sK57,nil)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( nil = sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
( ~ segmentP(sK56,sK55)
| neq(sK56,nil) ),
inference(definition_unfolding,[],[f501,f507,f506,f507]) ).
fof(f509,plain,
( ~ segmentP(sK56,sK55)
| ~ singletonP(sK55) ),
inference(definition_unfolding,[],[f500,f507,f506,f506]) ).
fof(f510,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f507]) ).
fof(f511,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f506]) ).
fof(f514,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f308]) ).
fof(f517,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f318]) ).
fof(f531,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f444]) ).
fof(f539,definition,
sF58 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f540,plain,
cons(sK57,nil) = sF58,
inference(reorient_equations,[],[f539]) ).
fof(f541,plain,
( sK55 = sF58
| ~ neq(sK56,nil) ),
inference(definition_folding,[],[f504,f540]) ).
fof(f550,definition,
( spl59_1
<=> singletonP(sK55) ),
introduced(definition,[new_symbols(definition,[spl59_1])],[avatar_definition]) ).
fof(f554,definition,
( spl59_2
<=> segmentP(sK56,sK55) ),
introduced(definition,[new_symbols(definition,[spl59_2])],[avatar_definition]) ).
fof(f556,plain,
( ~ segmentP(sK56,sK55)
| spl59_2 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,plain,
( ~ spl59_1
| ~ spl59_2 ),
inference(avatar_split_clause,[],[f509,f554,f550]) ).
fof(f559,definition,
( spl59_3
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl59_3])],[avatar_definition]) ).
fof(f560,plain,
( ~ neq(sK56,nil)
| spl59_3 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,plain,
( spl59_3
| ~ spl59_2 ),
inference(avatar_split_clause,[],[f508,f554,f559]) ).
fof(f564,definition,
( spl59_4
<=> ssItem(sK57) ),
introduced(definition,[new_symbols(definition,[spl59_4])],[avatar_definition]) ).
fof(f566,plain,
( ssItem(sK57)
| ~ spl59_4 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( ~ spl59_3
| spl59_4 ),
inference(avatar_split_clause,[],[f502,f564,f559]) ).
fof(f569,definition,
( spl59_5
<=> memberP(sK56,sK57) ),
introduced(definition,[new_symbols(definition,[spl59_5])],[avatar_definition]) ).
fof(f571,plain,
( memberP(sK56,sK57)
| ~ spl59_5 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,plain,
( ~ spl59_3
| spl59_5 ),
inference(avatar_split_clause,[],[f503,f569,f559]) ).
fof(f574,definition,
( spl59_6
<=> sK55 = sF58 ),
introduced(definition,[new_symbols(definition,[spl59_6])],[avatar_definition]) ).
fof(f576,plain,
( sK55 = sF58
| ~ spl59_6 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f577,plain,
( ~ spl59_3
| spl59_6 ),
inference(avatar_split_clause,[],[f541,f574,f559]) ).
fof(f579,definition,
( spl59_7
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl59_7])],[avatar_definition]) ).
fof(f580,plain,
( nil = sK56
| ~ spl59_7 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( nil != sK56
| spl59_7 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f583,definition,
( spl59_8
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl59_8])],[avatar_definition]) ).
fof(f585,plain,
( nil = sK55
| ~ spl59_8 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f586,plain,
( ~ spl59_7
| spl59_8 ),
inference(avatar_split_clause,[],[f505,f583,f579]) ).
fof(f588,definition,
( spl59_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl59_9])],[avatar_definition]) ).
fof(f589,plain,
( ssList(nil)
| ~ spl59_9 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f602,definition,
( spl59_12
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl59_12])],[avatar_definition]) ).
fof(f604,plain,
( segmentP(nil,nil)
| ~ spl59_12 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f605,plain,
( ~ spl59_9
| spl59_12 ),
inference(avatar_split_clause,[],[f531,f602,f588]) ).
fof(f616,plain,
spl59_9,
inference(avatar_split_clause,[],[f389,f588]) ).
fof(f619,plain,
( ~ ssList(sF58)
| ~ ssItem(sK57)
| singletonP(sF58) ),
inference(superposition,[],[f514,f540]) ).
fof(f621,definition,
( spl59_15
<=> singletonP(sF58) ),
introduced(definition,[new_symbols(definition,[spl59_15])],[avatar_definition]) ).
fof(f623,plain,
( singletonP(sF58)
| ~ spl59_15 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f625,definition,
( spl59_16
<=> ssList(sF58) ),
introduced(definition,[new_symbols(definition,[spl59_16])],[avatar_definition]) ).
fof(f627,plain,
( ~ ssList(sF58)
| spl59_16 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f628,plain,
( spl59_15
| ~ spl59_4
| ~ spl59_16 ),
inference(avatar_split_clause,[],[f619,f625,f564,f621]) ).
fof(f629,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl59_3 ),
inference(resolution,[],[f387,f560]) ).
fof(f630,plain,
( ~ ssList(nil)
| ~ ssList(sK56)
| spl59_3
| spl59_7 ),
inference(forward_subsumption_resolution,[],[f629,f581]) ).
fof(f631,plain,
( ~ ssList(sK56)
| spl59_3
| spl59_7
| ~ spl59_9 ),
inference(forward_subsumption_resolution,[],[f630,f589]) ).
fof(f632,plain,
( $false
| spl59_3
| spl59_7
| ~ spl59_9 ),
inference(forward_subsumption_resolution,[],[f631,f510]) ).
fof(f633,plain,
( spl59_3
| spl59_7
| ~ spl59_9 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f635,plain,
( ~ segmentP(sK56,nil)
| spl59_2
| ~ spl59_8 ),
inference(superposition,[],[f556,f585]) ).
fof(f636,plain,
( ~ segmentP(nil,nil)
| spl59_2
| ~ spl59_7
| ~ spl59_8 ),
inference(forward_demodulation,[],[f635,f580]) ).
fof(f637,plain,
( $false
| spl59_2
| ~ spl59_7
| ~ spl59_8
| ~ spl59_12 ),
inference(forward_subsumption_resolution,[],[f636,f604]) ).
fof(f638,plain,
( spl59_2
| ~ spl59_7
| ~ spl59_8
| ~ spl59_12 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f649,plain,
( ssList(sF58)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f540]) ).
fof(f651,plain,
( ~ ssItem(sK57)
| ~ ssList(nil)
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f649,f627]) ).
fof(f653,plain,
( ~ ssList(nil)
| ~ spl59_4
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f651,f566]) ).
fof(f654,plain,
( $false
| ~ spl59_4
| ~ spl59_9
| spl59_16 ),
inference(forward_subsumption_resolution,[],[f653,f589]) ).
fof(f655,plain,
( ~ spl59_4
| ~ spl59_9
| spl59_16 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f656,plain,
( singletonP(sK55)
| ~ spl59_6
| ~ spl59_15 ),
inference(forward_demodulation,[],[f623,f576]) ).
fof(f659,plain,
( spl59_1
| ~ spl59_6
| ~ spl59_15 ),
inference(avatar_split_clause,[],[f656,f621,f574,f550]) ).
fof(f665,plain,
sK56 = app(sK56,nil),
inference(resolution,[],[f482,f510]) ).
fof(f668,plain,
sK55 = app(nil,sK55),
inference(resolution,[],[f403,f511]) ).
fof(f673,plain,
! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) ),
inference(superposition,[],[f517,f668]) ).
fof(f674,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_9 ),
inference(forward_subsumption_resolution,[],[f673,f589]) ).
fof(f675,plain,
( ! [X0] :
( segmentP(app(sK55,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,X0)) )
| ~ spl59_9 ),
inference(forward_subsumption_resolution,[],[f674,f511]) ).
fof(f676,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_5 ),
inference(resolution,[],[f302,f571]) ).
fof(f677,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f676,f566]) ).
fof(f678,plain,
( sK56 = app(sK8(sK56,sK57),cons(sK57,sK9(sK56,sK57)))
| ~ spl59_4
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f677,f510]) ).
fof(f689,definition,
( spl59_17
<=> ssList(cons(sK57,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl59_17])],[avatar_definition]) ).
fof(f690,plain,
( ssList(cons(sK57,sK9(sK56,sK57)))
| ~ spl59_17 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f691,plain,
( ~ ssList(cons(sK57,sK9(sK56,sK57)))
| spl59_17 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f693,definition,
( spl59_18
<=> ssList(sK8(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_18])],[avatar_definition]) ).
fof(f694,plain,
( ssList(sK8(sK56,sK57))
| ~ spl59_18 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f695,plain,
( ~ ssList(sK8(sK56,sK57))
| spl59_18 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f700,plain,
( ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| spl59_17 ),
inference(resolution,[],[f691,f388]) ).
fof(f701,plain,
( ~ ssList(sK9(sK56,sK57))
| ~ spl59_4
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f700,f566]) ).
fof(f702,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_4
| spl59_17 ),
inference(resolution,[],[f303,f701]) ).
fof(f703,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,sK9(X0,X1)) = app(cons(X2,nil),sK9(X0,X1)) ),
inference(resolution,[],[f303,f477]) ).
fof(f706,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_5
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f702,f571]) ).
fof(f707,plain,
( ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_5
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f706,f566]) ).
fof(f708,plain,
( $false
| ~ spl59_4
| ~ spl59_5
| spl59_17 ),
inference(forward_subsumption_resolution,[],[f707,f510]) ).
fof(f709,plain,
( ~ spl59_4
| ~ spl59_5
| spl59_17 ),
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f710,plain,
( ! [X0] :
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_5 ),
inference(resolution,[],[f703,f571]) ).
fof(f711,plain,
( ! [X0] :
( ~ ssList(sK56)
| ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_4
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f710,f566]) ).
fof(f712,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK9(sK56,sK57)) = app(cons(X0,nil),sK9(sK56,sK57)) )
| ~ spl59_4
| ~ spl59_5 ),
inference(forward_subsumption_resolution,[],[f711,f510]) ).
fof(f713,plain,
( cons(sK57,sK9(sK56,sK57)) = app(cons(sK57,nil),sK9(sK56,sK57))
| ~ spl59_4
| ~ spl59_5 ),
inference(resolution,[],[f712,f566]) ).
fof(f714,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sF58,sK9(sK56,sK57))
| ~ spl59_4
| ~ spl59_5 ),
inference(forward_demodulation,[],[f713,f540]) ).
fof(f715,plain,
( cons(sK57,sK9(sK56,sK57)) = app(sK55,sK9(sK56,sK57))
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6 ),
inference(forward_demodulation,[],[f714,f576]) ).
fof(f717,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK9(sK56,sK57))
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6 ),
inference(superposition,[],[f388,f715]) ).
fof(f720,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ ssList(sK9(sK56,sK57))
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6 ),
inference(forward_subsumption_resolution,[],[f717,f566]) ).
fof(f722,definition,
( spl59_20
<=> ssList(sK9(sK56,sK57)) ),
introduced(definition,[new_symbols(definition,[spl59_20])],[avatar_definition]) ).
fof(f723,plain,
( ssList(sK9(sK56,sK57))
| ~ spl59_20 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f724,plain,
( ~ ssList(sK9(sK56,sK57))
| spl59_20 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f731,definition,
( spl59_22
<=> ssList(app(sK55,sK9(sK56,sK57))) ),
introduced(definition,[new_symbols(definition,[spl59_22])],[avatar_definition]) ).
fof(f733,plain,
( ssList(app(sK55,sK9(sK56,sK57)))
| ~ spl59_22 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f734,plain,
( ~ spl59_20
| spl59_22
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6 ),
inference(avatar_split_clause,[],[f720,f574,f569,f564,f731,f722]) ).
fof(f735,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_20 ),
inference(resolution,[],[f724,f303]) ).
fof(f736,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_5
| spl59_20 ),
inference(forward_subsumption_resolution,[],[f735,f571]) ).
fof(f737,plain,
( ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_5
| spl59_20 ),
inference(forward_subsumption_resolution,[],[f736,f566]) ).
fof(f738,plain,
( $false
| ~ spl59_4
| ~ spl59_5
| spl59_20 ),
inference(forward_subsumption_resolution,[],[f737,f510]) ).
fof(f739,plain,
( ~ spl59_4
| ~ spl59_5
| spl59_20 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f760,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_5 ),
inference(superposition,[],[f441,f678]) ).
fof(f773,plain,
( ~ memberP(sK56,sK57)
| ~ ssItem(sK57)
| ~ ssList(sK56)
| spl59_18 ),
inference(resolution,[],[f304,f695]) ).
fof(f777,plain,
( ~ ssItem(sK57)
| ~ ssList(sK56)
| ~ spl59_5
| spl59_18 ),
inference(forward_subsumption_resolution,[],[f773,f571]) ).
fof(f778,plain,
( ~ ssList(sK56)
| ~ spl59_4
| ~ spl59_5
| spl59_18 ),
inference(forward_subsumption_resolution,[],[f777,f566]) ).
fof(f779,plain,
( $false
| ~ spl59_4
| ~ spl59_5
| spl59_18 ),
inference(forward_subsumption_resolution,[],[f778,f510]) ).
fof(f780,plain,
( ~ spl59_4
| ~ spl59_5
| spl59_18 ),
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f782,plain,
( ! [X0,X1] :
( segmentP(app(sK56,X0),X1)
| ~ segmentP(cons(sK57,sK9(sK56,sK57)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(cons(sK57,sK9(sK56,sK57))) )
| ~ spl59_4
| ~ spl59_5
| ~ spl59_18 ),
inference(forward_subsumption_resolution,[],[f760,f694]) ).
fof(f783,plain,
( ! [X0,X1] :
( segmentP(app(sK56,X0),X1)
| ~ segmentP(cons(sK57,sK9(sK56,sK57)),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_4
| ~ spl59_5
| ~ spl59_17
| ~ spl59_18 ),
inference(forward_subsumption_resolution,[],[f782,f690]) ).
fof(f784,plain,
( ! [X0,X1] :
( ~ segmentP(app(sK55,sK9(sK56,sK57)),X1)
| segmentP(app(sK56,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_17
| ~ spl59_18 ),
inference(forward_demodulation,[],[f783,f715]) ).
fof(f785,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18 ),
inference(resolution,[],[f784,f675]) ).
fof(f789,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(sK9(sK56,sK57))
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18 ),
inference(forward_subsumption_resolution,[],[f785,f511]) ).
fof(f790,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0)
| ~ ssList(app(sK55,sK9(sK56,sK57))) )
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18
| ~ spl59_20 ),
inference(forward_subsumption_resolution,[],[f789,f723]) ).
fof(f791,plain,
( ! [X0] :
( segmentP(app(sK56,X0),sK55)
| ~ ssList(X0) )
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18
| ~ spl59_20
| ~ spl59_22 ),
inference(forward_subsumption_resolution,[],[f790,f733]) ).
fof(f792,plain,
( segmentP(sK56,sK55)
| ~ ssList(nil)
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18
| ~ spl59_20
| ~ spl59_22 ),
inference(superposition,[],[f791,f665]) ).
fof(f793,plain,
( ~ ssList(nil)
| spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18
| ~ spl59_20
| ~ spl59_22 ),
inference(forward_subsumption_resolution,[],[f792,f556]) ).
fof(f794,plain,
( $false
| spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18
| ~ spl59_20
| ~ spl59_22 ),
inference(forward_subsumption_resolution,[],[f793,f589]) ).
fof(f795,plain,
( spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18
| ~ spl59_20
| ~ spl59_22 ),
inference(avatar_contradiction_clause,[],[f794]) ).
cnf(s1,plain,
( ~ spl59_1
| ~ spl59_2 ),
inference(sat_conversion,[],[f557]) ).
cnf(s2,plain,
( ~ spl59_2
| spl59_3 ),
inference(sat_conversion,[],[f562]) ).
cnf(s3,plain,
( ~ spl59_3
| spl59_4 ),
inference(sat_conversion,[],[f567]) ).
cnf(s4,plain,
( ~ spl59_3
| spl59_5 ),
inference(sat_conversion,[],[f572]) ).
cnf(s5,plain,
( ~ spl59_3
| spl59_6 ),
inference(sat_conversion,[],[f577]) ).
cnf(s6,plain,
( ~ spl59_7
| spl59_8 ),
inference(sat_conversion,[],[f586]) ).
cnf(s11,plain,
( ~ spl59_9
| spl59_12 ),
inference(sat_conversion,[],[f605]) ).
cnf(s14,plain,
spl59_9,
inference(sat_conversion,[],[f616]) ).
cnf(s15,plain,
( ~ spl59_4
| spl59_15
| ~ spl59_16 ),
inference(sat_conversion,[],[f628]) ).
cnf(s16,plain,
( spl59_3
| spl59_7
| ~ spl59_9 ),
inference(sat_conversion,[],[f633]) ).
cnf(s17,plain,
( spl59_2
| ~ spl59_7
| ~ spl59_8
| ~ spl59_12 ),
inference(sat_conversion,[],[f638]) ).
cnf(s19,plain,
( ~ spl59_4
| ~ spl59_9
| spl59_16 ),
inference(sat_conversion,[],[f655]) ).
cnf(s20,plain,
( spl59_1
| ~ spl59_6
| ~ spl59_15 ),
inference(sat_conversion,[],[f659]) ).
cnf(s22,plain,
( ~ spl59_4
| ~ spl59_5
| spl59_17 ),
inference(sat_conversion,[],[f709]) ).
cnf(s24,plain,
( ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_20
| spl59_22 ),
inference(sat_conversion,[],[f734]) ).
cnf(s25,plain,
( ~ spl59_4
| ~ spl59_5
| spl59_20 ),
inference(sat_conversion,[],[f739]) ).
cnf(s26,plain,
( ~ spl59_4
| ~ spl59_5
| spl59_18 ),
inference(sat_conversion,[],[f780]) ).
cnf(s27,plain,
( spl59_2
| ~ spl59_4
| ~ spl59_5
| ~ spl59_6
| ~ spl59_9
| ~ spl59_17
| ~ spl59_18
| ~ spl59_20
| ~ spl59_22 ),
inference(sat_conversion,[],[f795]) ).
cnf(s30,plain,
spl59_12,
inference(rat,[],[s11,s14]) ).
cnf(s32,plain,
( ~ spl59_3
| spl59_1 ),
inference(rat,[],[s15,s19,s20,s3,s5,s14]) ).
cnf(s33,plain,
spl59_3,
inference(rat,[],[s17,s6,s2,s16,s30,s14]) ).
cnf(s34,plain,
spl59_6,
inference(rat,[],[s5,s33]) ).
cnf(s35,plain,
spl59_5,
inference(rat,[],[s4,s33]) ).
cnf(s36,plain,
spl59_4,
inference(rat,[],[s3,s33]) ).
cnf(s37,plain,
spl59_1,
inference(rat,[],[s32,s33]) ).
cnf(s38,plain,
spl59_18,
inference(rat,[],[s26,s35,s36]) ).
cnf(s39,plain,
spl59_20,
inference(rat,[],[s25,s35,s36]) ).
cnf(s40,plain,
spl59_17,
inference(rat,[],[s22,s35,s36]) ).
cnf(s44,plain,
~ spl59_2,
inference(rat,[],[s1,s37]) ).
cnf(s45,plain,
spl59_22,
inference(rat,[],[s24,s36,s35,s34,s39]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s27,s45,s34,s36,s35,s14,s44,s38,s39,s40]) ).
fof(f796,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC390+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n010.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:26:32 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.62/1.79 % (1796893)Detected formulas, will run a generic FOF schedule.
% 6.62/1.79 % (1796902)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2099623504:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.62/1.79 % (1796900)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=2910926834:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.62/1.79 % (1796898)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=160472030:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.62/1.79 % (1796899)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=2811817849:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.62/1.79 % (1796901)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1275324434:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.62/1.79 % (1796904)dis-21_1_sil=8000:lcm=predicate:random_seed=367353914: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)
% 6.62/1.79 % (1796903)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3465325099:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.62/1.79 % (1796901)Refutation not found, incomplete strategy
% 6.62/1.79 % (1796901)------------------------------
% 6.62/1.79 % (1796901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796901)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796901)Termination reason: Refutation not found, incomplete strategy
% 6.62/1.79 % (1796901)Time elapsed: 0.004 s
% 6.62/1.79 % (1796901)Peak memory usage: 88 MB
% 6.62/1.79 % (1796901)Instructions burned: 4 (million)
% 6.62/1.79 % (1796902)Instruction limit reached!
% 6.62/1.79 % (1796902)------------------------------
% 6.62/1.79 % (1796902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796902)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796902)Termination reason: Instruction limit
% 6.62/1.79 % (1796902)Termination phase: Saturation
% 6.62/1.79 % (1796902)Time elapsed: 0.040 s
% 6.62/1.79 % (1796902)Peak memory usage: 89 MB
% 6.62/1.79 % (1796902)Instructions burned: 122 (million)
% 6.62/1.79 % (1796904)Instruction limit reached!
% 6.62/1.79 % (1796904)------------------------------
% 6.62/1.79 % (1796904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796904)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796904)Termination reason: Instruction limit
% 6.62/1.79 % (1796904)Termination phase: Saturation
% 6.62/1.79 % (1796904)Time elapsed: 0.073 s
% 6.62/1.79 % (1796904)Peak memory usage: 90 MB
% 6.62/1.79 % (1796904)Instructions burned: 130 (million)
% 6.62/1.79 % (1796903)Instruction limit reached!
% 6.62/1.79 % (1796903)------------------------------
% 6.62/1.79 % (1796903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796903)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796903)Termination reason: Instruction limit
% 6.62/1.79 % (1796903)Termination phase: Saturation
% 6.62/1.79 % (1796903)Time elapsed: 0.094 s
% 6.62/1.79 % (1796903)Peak memory usage: 90 MB
% 6.62/1.79 % (1796903)Instructions burned: 139 (million)
% 6.62/1.79 % (1796912)lrs+10_1_sil=8000:sp=occurrence:random_seed=373381210:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.62/1.79 % (1796913)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1376617111:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.62/1.79 % (1796912)Instruction limit reached!
% 6.62/1.79 % (1796912)------------------------------
% 6.62/1.79 % (1796912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796912)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796912)Termination reason: Instruction limit
% 6.62/1.79 % (1796912)Termination phase: Saturation
% 6.62/1.79 % (1796912)Time elapsed: 0.094 s
% 6.62/1.79 % (1796912)Peak memory usage: 93 MB
% 6.62/1.79 % (1796912)Instructions burned: 287 (million)
% 6.62/1.79 % (1796914)lrs+1011_1_sil=32000:sp=occurrence:random_seed=542701901:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.62/1.79 % (1796901)------------------------------
% 6.62/1.79 % (1796901)------------------------------
% 6.62/1.79 % (1796913)Instruction limit reached!
% 6.62/1.79 % (1796913)------------------------------
% 6.62/1.79 % (1796913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796913)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796913)Termination reason: Instruction limit
% 6.62/1.79 % (1796913)Termination phase: Saturation
% 6.62/1.79 % (1796913)Time elapsed: 0.077 s
% 6.62/1.79 % (1796913)Peak memory usage: 91 MB
% 6.62/1.79 % (1796913)Instructions burned: 157 (million)
% 6.62/1.79 % (1796917)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=372997345:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.62/1.79 % (1796917)Instruction limit reached!
% 6.62/1.79 % (1796917)------------------------------
% 6.62/1.79 % (1796917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796917)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796917)Termination reason: Instruction limit
% 6.62/1.79 % (1796917)Termination phase: Saturation
% 6.62/1.79 % (1796917)Time elapsed: 0.066 s
% 6.62/1.79 % (1796917)Peak memory usage: 93 MB
% 6.62/1.79 % (1796917)Instructions burned: 251 (million)
% 6.62/1.79 % (1796919)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4153456046:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.62/1.79 % (1796920)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3392438636:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.62/1.79 % (1796914)Instruction limit reached!
% 6.62/1.79 % (1796914)------------------------------
% 6.62/1.79 % (1796914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796914)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796914)Termination reason: Instruction limit
% 6.62/1.79 % (1796914)Termination phase: Saturation
% 6.62/1.79 % (1796914)Time elapsed: 0.211 s
% 6.62/1.79 % (1796914)Peak memory usage: 92 MB
% 6.62/1.79 % (1796914)Instructions burned: 326 (million)
% 6.62/1.79 % (1796922)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2344220695:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.62/1.79 % (1796922)Instruction limit reached!
% 6.62/1.79 % (1796922)------------------------------
% 6.62/1.79 % (1796922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796922)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796922)Termination reason: Instruction limit
% 6.62/1.79 % (1796922)Termination phase: Saturation
% 6.62/1.79 % (1796922)Time elapsed: 0.042 s
% 6.62/1.79 % (1796922)Peak memory usage: 90 MB
% 6.62/1.79 % (1796922)Instructions burned: 115 (million)
% 6.62/1.79 % (1796919)Instruction limit reached!
% 6.62/1.79 % (1796919)------------------------------
% 6.62/1.79 % (1796919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796919)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796919)Termination reason: Instruction limit
% 6.62/1.79 % (1796919)Termination phase: Saturation
% 6.62/1.79 % (1796919)Time elapsed: 0.180 s
% 6.62/1.79 % (1796919)Peak memory usage: 90 MB
% 6.62/1.79 % (1796919)Instructions burned: 296 (million)
% 6.62/1.79 % (1796925)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=859888428:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.62/1.79 % (1796898)First to succeed.
% 6.62/1.79 % (1796898)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1796893"
% 6.62/1.79 % (1796925)Instruction limit reached!
% 6.62/1.79 % (1796925)------------------------------
% 6.62/1.79 % (1796925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796925)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796925)Termination reason: Instruction limit
% 6.62/1.79 % (1796925)Termination phase: Saturation
% 6.62/1.79 % (1796925)Time elapsed: 0.064 s
% 6.62/1.79 % (1796925)Peak memory usage: 89 MB
% 6.62/1.79 % (1796925)Instructions burned: 127 (million)
% 6.62/1.79 % (1796927)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4149005850:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.62/1.79 % (1796927)Instruction limit reached!
% 6.62/1.79 % (1796927)------------------------------
% 6.62/1.79 % (1796927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.79 % (1796927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.79 % (1796927)CaDiCaL version: 2.1.3
% 6.62/1.79 % (1796927)Termination reason: Instruction limit
% 6.62/1.79 % (1796927)Termination phase: Saturation
% 6.62/1.79 % (1796927)Time elapsed: 0.039 s
% 6.62/1.79 % (1796927)Peak memory usage: 89 MB
% 6.62/1.79 % (1796927)Instructions burned: 117 (million)
% 6.62/1.79 % (1796928)lrs+10_1_sil=8000:sp=occurrence:random_seed=3643225335:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.62/1.79 % (1796899)Also succeeded, but the first one will report.
% 6.62/1.79 % (1796930)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2129718750:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.62/1.79 % (1796932)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2375023259:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.62/1.79 % (1796898)Refutation found. Thanks to Tanya!
% 6.62/1.79 % SZS status Theorem for theBenchmark
% 6.62/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 8.44/1.99 % (1796898)------------------------------
% 8.44/1.99 % (1796898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/1.99 % (1796898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.99 % (1796898)CaDiCaL version: 2.1.3
% 8.44/1.99 % (1796898)Termination reason: Refutation
% 8.44/1.99 % (1796898)Time elapsed: 0.669 s
% 8.44/1.99 % (1796898)Peak memory usage: 129 MB
% 8.44/1.99 % (1796898)Instructions burned: 1010 (million)
% 8.44/1.99 % (1796898)------------------------------
% 8.44/1.99 % (1796898)------------------------------
% 8.44/1.99 % (1796893)Success in time 1.114 s
% 8.44/1.99 % Vampire exiting
%------------------------------------------------------------------------------