%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC296+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 : n017.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 01:03:20 PM UTC 2026
% Result : Theorem 5.36s 1.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 31
% Syntax : Number of formulae : 226 ( 42 unt; 22 def)
% Number of atoms : 993 ( 56 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 1433 ( 666 ~; 616 |; 85 &)
% ( 29 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 23 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 268 ( 0 sgn 234 !; 34 ?)
% 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(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
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(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
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(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ~ strictorderedP(X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) ) ) ) ) ) ) ) ) ) ) ),
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(X3,X2)
| ~ strictorderedP(X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& strictorderedP(X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& strictorderedP(X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f121,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(f144,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f145,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
( sK1 = sK3
& sK0 = sK2
& segmentP(sK3,sK2)
& strictorderedP(sK2)
& sK0 = app(app(sK5,cons(sK4,nil)),sK6)
& ( ( memberP(sK5,sK7)
& ~ lt(sK7,sK4) )
| ( memberP(sK6,sK7)
& ~ lt(sK4,sK7) ) )
& ssItem(sK7)
& ssList(sK6)
& ssList(sK5)
& ssItem(sK4)
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f99]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f153]) ).
fof(f155,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,[],[f121]) ).
fof(f156,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,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK12(X0,X1))
& ssList(sK13(X0,X1))
& app(sK12(X0,X1),cons(X1,sK13(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f156]) ).
fof(f166,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f145]) ).
fof(f167,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK16(X0),sK17(X0))
& app(app(sK18(X0),cons(sK16(X0),sK19(X0))),cons(sK17(X0),sK20(X0))) = X0
& ssList(sK20(X0))
& ssList(sK19(X0))
& ssList(sK18(X0))
& ssItem(sK17(X0))
& ssItem(sK16(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0)),skolemize(X3,sK18(X0)),skolemize(X4,sK19(X0)),skolemize(X5,sK20(X0))],[f167]) ).
fof(f169,plain,
ssList(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f173,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f146]) ).
fof(f174,plain,
ssList(sK5),
inference(cnf_transformation,[],[f146]) ).
fof(f175,plain,
ssList(sK6),
inference(cnf_transformation,[],[f146]) ).
fof(f176,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f146]) ).
fof(f177,plain,
( ~ lt(sK7,sK4)
| ~ lt(sK4,sK7) ),
inference(cnf_transformation,[],[f146]) ).
fof(f178,plain,
( ~ lt(sK7,sK4)
| memberP(sK6,sK7) ),
inference(cnf_transformation,[],[f146]) ).
fof(f179,plain,
( memberP(sK5,sK7)
| ~ lt(sK4,sK7) ),
inference(cnf_transformation,[],[f146]) ).
fof(f180,plain,
( memberP(sK5,sK7)
| memberP(sK6,sK7) ),
inference(cnf_transformation,[],[f146]) ).
fof(f181,plain,
sK0 = app(app(sK5,cons(sK4,nil)),sK6),
inference(cnf_transformation,[],[f146]) ).
fof(f182,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f184,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f146]) ).
fof(f196,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f201,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f202,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f207,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f208,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f215,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f216,plain,
! [X0,X1] :
( app(sK12(X0,X1),cons(X1,sK13(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f217,plain,
! [X0,X1] :
( ssList(sK13(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f218,plain,
! [X0,X1] :
( ssList(sK12(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f246,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f254,plain,
sK2 = app(app(sK5,cons(sK4,nil)),sK6),
inference(definition_unfolding,[],[f181,f184]) ).
fof(f256,plain,
ssList(sK2),
inference(definition_unfolding,[],[f169,f184]) ).
fof(f260,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f219]) ).
fof(f266,plain,
! [X10,X8,X6,X9,X7] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f246]) ).
fof(f271,definition,
( spl21_1
<=> sK2 = app(app(sK5,cons(sK4,nil)),sK6) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f273,plain,
( sK2 = app(app(sK5,cons(sK4,nil)),sK6)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
spl21_1,
inference(avatar_split_clause,[],[f254,f271]) ).
fof(f303,plain,
( sK2 = app(sK5,app(cons(sK4,nil),sK6))
| ~ ssList(sK6)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK5)
| ~ spl21_1 ),
inference(superposition,[],[f201,f273]) ).
fof(f304,plain,
( sK2 = app(sK5,app(cons(sK4,nil),sK6))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK5)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f303,f175]) ).
fof(f323,plain,
( sK2 = app(sK5,app(cons(sK4,nil),sK6))
| ~ ssList(cons(sK4,nil))
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f304,f174]) ).
fof(f331,definition,
( spl21_2
<=> ssItem(sK4) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f333,plain,
( ssItem(sK4)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,plain,
spl21_2,
inference(avatar_split_clause,[],[f173,f331]) ).
fof(f353,plain,
( ! [X0] :
( ssList(sK13(X0,sK4))
| ~ memberP(X0,sK4)
| ~ ssList(X0) )
| ~ spl21_2 ),
inference(resolution,[],[f333,f217]) ).
fof(f354,plain,
( ! [X0] :
( ssList(sK12(X0,sK4))
| ~ memberP(X0,sK4)
| ~ ssList(X0) )
| ~ spl21_2 ),
inference(resolution,[],[f333,f218]) ).
fof(f382,definition,
( spl21_3
<=> lt(sK4,sK7) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f383,plain,
( lt(sK4,sK7)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ lt(sK4,sK7)
| spl21_3 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f386,definition,
( spl21_4
<=> lt(sK7,sK4) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f388,plain,
( ~ lt(sK7,sK4)
| spl21_4 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f389,plain,
( ~ spl21_3
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f177,f386,f382]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK7)
| ~ ssItem(sK4)
| ~ strictorderedP(app(app(X2,cons(sK4,X1)),cons(sK7,X0)))
| ~ ssList(app(app(X2,cons(sK4,X1)),cons(sK7,X0))) )
| spl21_3 ),
inference(resolution,[],[f384,f266]) ).
fof(f399,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK4)
| ~ strictorderedP(app(app(X2,cons(sK4,X1)),cons(sK7,X0)))
| ~ ssList(app(app(X2,cons(sK4,X1)),cons(sK7,X0))) )
| spl21_3 ),
inference(forward_subsumption_resolution,[],[f390,f176]) ).
fof(f404,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(app(app(X2,cons(sK4,X1)),cons(sK7,X0)))
| ~ ssList(app(app(X2,cons(sK4,X1)),cons(sK7,X0))) )
| ~ spl21_2
| spl21_3 ),
inference(forward_subsumption_resolution,[],[f399,f333]) ).
fof(f406,definition,
( spl21_5
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(app(app(X2,cons(sK4,X1)),cons(sK7,X0)))
| ~ ssList(app(app(X2,cons(sK4,X1)),cons(sK7,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f407,plain,
( ! [X2,X0,X1] :
( ~ strictorderedP(app(app(X2,cons(sK4,X1)),cons(sK7,X0)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X2,cons(sK4,X1)),cons(sK7,X0))) )
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f408,plain,
( spl21_5
| ~ spl21_2
| spl21_3 ),
inference(avatar_split_clause,[],[f404,f382,f331,f406]) ).
fof(f409,plain,
( memberP(sK5,sK7)
| ~ spl21_3 ),
inference(backward_subsumption_resolution,[],[f179,f383]) ).
fof(f411,definition,
( spl21_6
<=> memberP(sK5,sK7) ),
introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).
fof(f413,plain,
( memberP(sK5,sK7)
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
( spl21_6
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f409,f382,f411]) ).
fof(f433,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK4)
| ~ ssItem(sK7)
| ~ strictorderedP(app(app(X2,cons(sK7,X1)),cons(sK4,X0)))
| ~ ssList(app(app(X2,cons(sK7,X1)),cons(sK4,X0))) )
| spl21_4 ),
inference(resolution,[],[f388,f266]) ).
fof(f442,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK7)
| ~ strictorderedP(app(app(X2,cons(sK7,X1)),cons(sK4,X0)))
| ~ ssList(app(app(X2,cons(sK7,X1)),cons(sK4,X0))) )
| ~ spl21_2
| spl21_4 ),
inference(forward_subsumption_resolution,[],[f433,f333]) ).
fof(f447,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(app(app(X2,cons(sK7,X1)),cons(sK4,X0)))
| ~ ssList(app(app(X2,cons(sK7,X1)),cons(sK4,X0))) )
| ~ spl21_2
| spl21_4 ),
inference(forward_subsumption_resolution,[],[f442,f176]) ).
fof(f449,definition,
( spl21_7
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(app(app(X2,cons(sK7,X1)),cons(sK4,X0)))
| ~ ssList(app(app(X2,cons(sK7,X1)),cons(sK4,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f450,plain,
( ! [X2,X0,X1] :
( ~ strictorderedP(app(app(X2,cons(sK7,X1)),cons(sK4,X0)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X2,cons(sK7,X1)),cons(sK4,X0))) )
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
( spl21_7
| ~ spl21_2
| spl21_4 ),
inference(avatar_split_clause,[],[f447,f386,f331,f449]) ).
fof(f485,definition,
( spl21_8
<=> ssItem(sK7) ),
introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).
fof(f487,plain,
( ssItem(sK7)
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,plain,
spl21_8,
inference(avatar_split_clause,[],[f176,f485]) ).
fof(f495,plain,
( ! [X0] :
( ssList(cons(sK7,X0))
| ~ ssList(X0) )
| ~ spl21_8 ),
inference(resolution,[],[f487,f196]) ).
fof(f507,plain,
( ! [X0] :
( ssList(sK13(X0,sK7))
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_8 ),
inference(resolution,[],[f487,f217]) ).
fof(f508,plain,
( ! [X0] :
( ssList(sK12(X0,sK7))
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_8 ),
inference(resolution,[],[f487,f218]) ).
fof(f536,definition,
( spl21_9
<=> memberP(sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition]) ).
fof(f538,plain,
( memberP(sK6,sK7)
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f539,plain,
( spl21_9
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f178,f386,f536]) ).
fof(f541,definition,
( spl21_10
<=> ssList(sK5) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f543,plain,
( ssList(sK5)
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f544,plain,
spl21_10,
inference(avatar_split_clause,[],[f174,f541]) ).
fof(f624,definition,
( spl21_11
<=> ssList(sK6) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f626,plain,
( ssList(sK6)
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f627,plain,
spl21_11,
inference(avatar_split_clause,[],[f175,f624]) ).
fof(f810,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK7,X1)))
| ~ ssList(sK13(X0,sK4))
| ~ ssList(sK12(X0,sK4))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK7,X1)))
| ~ memberP(X0,sK4)
| ~ ssItem(sK4)
| ~ ssList(X0) )
| ~ spl21_5 ),
inference(superposition,[],[f407,f216]) ).
fof(f830,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK7,X1)))
| ~ ssList(sK13(X0,sK4))
| ~ ssList(sK12(X0,sK4))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK7,X1)))
| ~ memberP(X0,sK4)
| ~ ssList(X0) )
| ~ spl21_2
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f810,f333]) ).
fof(f836,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK7,X1)))
| ~ ssList(sK12(X0,sK4))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK7,X1)))
| ~ memberP(X0,sK4)
| ~ ssList(X0) )
| ~ spl21_2
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f830,f353]) ).
fof(f838,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK7,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK7,X1)))
| ~ memberP(X0,sK4)
| ~ ssList(X0) )
| ~ spl21_2
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f836,f354]) ).
fof(f840,definition,
( spl21_16
<=> ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK7,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK7,X1)))
| ~ memberP(X0,sK4)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_16])],[avatar_definition]) ).
fof(f841,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK7,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK7,X1)))
| ~ memberP(X0,sK4)
| ~ ssList(X0) )
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f842,plain,
( spl21_16
| ~ spl21_2
| ~ spl21_5 ),
inference(avatar_split_clause,[],[f838,f406,f331,f840]) ).
fof(f852,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK4,X1)))
| ~ ssList(sK13(X0,sK7))
| ~ ssList(sK12(X0,sK7))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK4,X1)))
| ~ memberP(X0,sK7)
| ~ ssItem(sK7)
| ~ ssList(X0) )
| ~ spl21_7 ),
inference(superposition,[],[f450,f216]) ).
fof(f869,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK4,X1)))
| ~ ssList(sK13(X0,sK7))
| ~ ssList(sK12(X0,sK7))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK4,X1)))
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_7
| ~ spl21_8 ),
inference(forward_subsumption_resolution,[],[f852,f487]) ).
fof(f872,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK4,X1)))
| ~ ssList(sK12(X0,sK7))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK4,X1)))
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_7
| ~ spl21_8 ),
inference(forward_subsumption_resolution,[],[f869,f507]) ).
fof(f874,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK4,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK4,X1)))
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_7
| ~ spl21_8 ),
inference(forward_subsumption_resolution,[],[f872,f508]) ).
fof(f876,definition,
( spl21_17
<=> ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK4,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK4,X1)))
| ~ memberP(X0,sK7)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_17])],[avatar_definition]) ).
fof(f877,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,cons(sK4,X1)))
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK4,X1)))
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f878,plain,
( spl21_17
| ~ spl21_7
| ~ spl21_8 ),
inference(avatar_split_clause,[],[f874,f485,f449,f876]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( ~ strictorderedP(app(X0,app(X1,cons(sK7,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK7,X2))))
| ~ memberP(app(X0,X1),sK4)
| ~ ssList(app(X0,X1))
| ~ ssList(cons(sK7,X2))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl21_16 ),
inference(superposition,[],[f841,f201]) ).
fof(f947,plain,
( ! [X2,X0,X1] :
( ~ strictorderedP(app(X0,app(X1,cons(sK7,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK7,X2))))
| ~ memberP(app(X0,X1),sK4)
| ~ ssList(cons(sK7,X2))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl21_16 ),
inference(forward_subsumption_resolution,[],[f936,f207]) ).
fof(f951,plain,
( ! [X2,X0,X1] :
( ~ strictorderedP(app(X0,app(X1,cons(sK7,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK7,X2))))
| ~ memberP(app(X0,X1),sK4)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl21_8
| ~ spl21_16 ),
inference(forward_subsumption_resolution,[],[f947,f495]) ).
fof(f1042,definition,
( spl21_20
<=> ! [X2,X0,X1] :
( ~ strictorderedP(app(X0,app(X1,cons(sK7,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK7,X2))))
| ~ memberP(app(X0,X1),sK4)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_20])],[avatar_definition]) ).
fof(f1043,plain,
( ! [X2,X0,X1] :
( ~ strictorderedP(app(X0,app(X1,cons(sK7,X2))))
| ~ ssList(X2)
| ~ ssList(app(X0,app(X1,cons(sK7,X2))))
| ~ memberP(app(X0,X1),sK4)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl21_20 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1044,plain,
( spl21_20
| ~ spl21_8
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f951,f840,f485,f1042]) ).
fof(f1335,plain,
( spl21_9
| spl21_6 ),
inference(avatar_split_clause,[],[f180,f411,f536]) ).
fof(f1623,definition,
( spl21_30
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl21_30])],[avatar_definition]) ).
fof(f1624,plain,
( ssList(cons(sK4,nil))
| ~ spl21_30 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1625,plain,
( ~ ssList(cons(sK4,nil))
| spl21_30 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1627,definition,
( spl21_31
<=> sK2 = app(sK5,app(cons(sK4,nil),sK6)) ),
introduced(definition,[new_symbols(definition,[spl21_31])],[avatar_definition]) ).
fof(f1629,plain,
( sK2 = app(sK5,app(cons(sK4,nil),sK6))
| ~ spl21_31 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f1630,plain,
( ~ spl21_30
| spl21_31
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f323,f271,f1627,f1623]) ).
fof(f1631,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl21_30 ),
inference(resolution,[],[f1625,f196]) ).
fof(f1650,plain,
( ~ ssList(nil)
| ~ spl21_2
| spl21_30 ),
inference(forward_subsumption_resolution,[],[f1631,f333]) ).
fof(f1651,plain,
( $false
| ~ spl21_2
| spl21_30 ),
inference(forward_subsumption_resolution,[],[f1650,f208]) ).
fof(f1652,plain,
( ~ spl21_2
| spl21_30 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1752,plain,
( sK2 = app(sK5,cons(sK4,sK6))
| ~ ssItem(sK4)
| ~ ssList(sK6)
| ~ spl21_31 ),
inference(superposition,[],[f1629,f202]) ).
fof(f1782,plain,
( sK2 = app(sK5,cons(sK4,sK6))
| ~ ssList(sK6)
| ~ spl21_2
| ~ spl21_31 ),
inference(forward_subsumption_resolution,[],[f1752,f333]) ).
fof(f1783,plain,
( sK2 = app(sK5,cons(sK4,sK6))
| ~ spl21_2
| ~ spl21_11
| ~ spl21_31 ),
inference(forward_subsumption_resolution,[],[f1782,f626]) ).
fof(f1785,definition,
( spl21_32
<=> sK2 = app(sK5,cons(sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl21_32])],[avatar_definition]) ).
fof(f1787,plain,
( sK2 = app(sK5,cons(sK4,sK6))
| ~ spl21_32 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f1788,plain,
( spl21_32
| ~ spl21_2
| ~ spl21_11
| ~ spl21_31 ),
inference(avatar_split_clause,[],[f1783,f1627,f624,f331,f1785]) ).
fof(f1793,plain,
( ~ strictorderedP(sK2)
| ~ ssList(sK6)
| ~ ssList(sK2)
| ~ memberP(sK5,sK7)
| ~ ssList(sK5)
| ~ spl21_17
| ~ spl21_32 ),
inference(superposition,[],[f877,f1787]) ).
fof(f1834,plain,
( ~ ssList(sK6)
| ~ ssList(sK2)
| ~ memberP(sK5,sK7)
| ~ ssList(sK5)
| ~ spl21_17
| ~ spl21_32 ),
inference(forward_subsumption_resolution,[],[f1793,f182]) ).
fof(f1844,plain,
( ~ ssList(sK2)
| ~ memberP(sK5,sK7)
| ~ ssList(sK5)
| ~ spl21_11
| ~ spl21_17
| ~ spl21_32 ),
inference(forward_subsumption_resolution,[],[f1834,f626]) ).
fof(f1854,plain,
( ~ memberP(sK5,sK7)
| ~ ssList(sK5)
| ~ spl21_11
| ~ spl21_17
| ~ spl21_32 ),
inference(forward_subsumption_resolution,[],[f1844,f256]) ).
fof(f1860,plain,
( ~ ssList(sK5)
| ~ spl21_6
| ~ spl21_11
| ~ spl21_17
| ~ spl21_32 ),
inference(forward_subsumption_resolution,[],[f1854,f413]) ).
fof(f1862,plain,
( $false
| ~ spl21_6
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17
| ~ spl21_32 ),
inference(forward_subsumption_resolution,[],[f1860,f543]) ).
fof(f1863,plain,
( ~ spl21_6
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17
| ~ spl21_32 ),
inference(avatar_contradiction_clause,[],[f1862]) ).
fof(f2673,definition,
( spl21_55
<=> strictorderedP(sK2) ),
introduced(definition,[new_symbols(definition,[spl21_55])],[avatar_definition]) ).
fof(f2675,plain,
( strictorderedP(sK2)
| ~ spl21_55 ),
inference(avatar_component_clause,[],[f2673]) ).
fof(f2676,plain,
spl21_55,
inference(avatar_split_clause,[],[f182,f2673]) ).
fof(f2855,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssList(sK13(X0,sK7))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK12(X0,sK7)),sK4)
| ~ ssList(sK12(X0,sK7))
| ~ ssList(X1)
| ~ memberP(X0,sK7)
| ~ ssItem(sK7)
| ~ ssList(X0) )
| ~ spl21_20 ),
inference(superposition,[],[f1043,f216]) ).
fof(f2877,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssList(sK13(X0,sK7))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK12(X0,sK7)),sK4)
| ~ ssList(sK12(X0,sK7))
| ~ ssList(X1)
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_8
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f2855,f487]) ).
fof(f2882,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ memberP(app(X1,sK12(X0,sK7)),sK4)
| ~ ssList(sK12(X0,sK7))
| ~ ssList(X1)
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_8
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f2877,f507]) ).
fof(f2886,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ memberP(app(X1,sK12(X0,sK7)),sK4)
| ~ ssList(sK12(X0,sK7))
| ~ ssList(X1)
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_8
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f2882,f207]) ).
fof(f2888,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ memberP(app(X1,sK12(X0,sK7)),sK4)
| ~ ssList(X1)
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_8
| ~ spl21_20 ),
inference(forward_subsumption_resolution,[],[f2886,f508]) ).
fof(f2890,definition,
( spl21_58
<=> ! [X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ memberP(app(X1,sK12(X0,sK7)),sK4)
| ~ ssList(X1)
| ~ memberP(X0,sK7)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_58])],[avatar_definition]) ).
fof(f2891,plain,
( ! [X0,X1] :
( ~ memberP(app(X1,sK12(X0,sK7)),sK4)
| ~ strictorderedP(app(X1,X0))
| ~ ssList(X1)
| ~ memberP(X0,sK7)
| ~ ssList(X0) )
| ~ spl21_58 ),
inference(avatar_component_clause,[],[f2890]) ).
fof(f2892,plain,
( spl21_58
| ~ spl21_8
| ~ spl21_20 ),
inference(avatar_split_clause,[],[f2888,f1042,f485,f2890]) ).
fof(f3146,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK7)
| ~ ssList(X1)
| ~ memberP(X0,sK4)
| ~ ssList(sK12(X1,sK7))
| ~ ssList(X0)
| ~ ssItem(sK4) )
| ~ spl21_58 ),
inference(resolution,[],[f2891,f215]) ).
fof(f3153,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK7)
| ~ ssList(X1)
| ~ memberP(X0,sK4)
| ~ ssList(sK12(X1,sK7))
| ~ ssItem(sK4) )
| ~ spl21_58 ),
inference(duplicate_literal_removal,[],[f3146]) ).
fof(f3161,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK7)
| ~ ssList(X1)
| ~ memberP(X0,sK4)
| ~ ssList(sK12(X1,sK7)) )
| ~ spl21_2
| ~ spl21_58 ),
inference(forward_subsumption_resolution,[],[f3153,f333]) ).
fof(f3165,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK7)
| ~ ssList(X1)
| ~ memberP(X0,sK4) )
| ~ spl21_2
| ~ spl21_8
| ~ spl21_58 ),
inference(forward_subsumption_resolution,[],[f3161,f508]) ).
fof(f3168,definition,
( spl21_67
<=> ! [X0,X1] :
( ~ strictorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK7)
| ~ ssList(X1)
| ~ memberP(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl21_67])],[avatar_definition]) ).
fof(f3169,plain,
( ! [X0,X1] :
( ~ strictorderedP(app(X0,X1))
| ~ ssList(X0)
| ~ memberP(X1,sK7)
| ~ ssList(X1)
| ~ memberP(X0,sK4) )
| ~ spl21_67 ),
inference(avatar_component_clause,[],[f3168]) ).
fof(f3170,plain,
( spl21_67
| ~ spl21_2
| ~ spl21_8
| ~ spl21_58 ),
inference(avatar_split_clause,[],[f3165,f2890,f485,f331,f3168]) ).
fof(f3189,plain,
( ~ strictorderedP(sK2)
| ~ ssList(app(sK5,cons(sK4,nil)))
| ~ memberP(sK6,sK7)
| ~ ssList(sK6)
| ~ memberP(app(sK5,cons(sK4,nil)),sK4)
| ~ spl21_1
| ~ spl21_67 ),
inference(superposition,[],[f3169,f273]) ).
fof(f3197,plain,
( ~ ssList(app(sK5,cons(sK4,nil)))
| ~ memberP(sK6,sK7)
| ~ ssList(sK6)
| ~ memberP(app(sK5,cons(sK4,nil)),sK4)
| ~ spl21_1
| ~ spl21_55
| ~ spl21_67 ),
inference(forward_subsumption_resolution,[],[f3189,f2675]) ).
fof(f3210,plain,
( ~ ssList(app(sK5,cons(sK4,nil)))
| ~ ssList(sK6)
| ~ memberP(app(sK5,cons(sK4,nil)),sK4)
| ~ spl21_1
| ~ spl21_9
| ~ spl21_55
| ~ spl21_67 ),
inference(forward_subsumption_resolution,[],[f3197,f538]) ).
fof(f3213,plain,
( ~ ssList(app(sK5,cons(sK4,nil)))
| ~ memberP(app(sK5,cons(sK4,nil)),sK4)
| ~ spl21_1
| ~ spl21_9
| ~ spl21_11
| ~ spl21_55
| ~ spl21_67 ),
inference(forward_subsumption_resolution,[],[f3210,f626]) ).
fof(f3215,definition,
( spl21_68
<=> memberP(app(sK5,cons(sK4,nil)),sK4) ),
introduced(definition,[new_symbols(definition,[spl21_68])],[avatar_definition]) ).
fof(f3217,plain,
( ~ memberP(app(sK5,cons(sK4,nil)),sK4)
| spl21_68 ),
inference(avatar_component_clause,[],[f3215]) ).
fof(f3219,definition,
( spl21_69
<=> ssList(app(sK5,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl21_69])],[avatar_definition]) ).
fof(f3221,plain,
( ~ ssList(app(sK5,cons(sK4,nil)))
| spl21_69 ),
inference(avatar_component_clause,[],[f3219]) ).
fof(f3222,plain,
( ~ spl21_68
| ~ spl21_69
| ~ spl21_1
| ~ spl21_9
| ~ spl21_11
| ~ spl21_55
| ~ spl21_67 ),
inference(avatar_split_clause,[],[f3213,f3168,f2673,f624,f536,f271,f3219,f3215]) ).
fof(f3225,plain,
( ~ ssList(sK5)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK5,cons(sK4,nil)))
| spl21_68 ),
inference(resolution,[],[f3217,f260]) ).
fof(f3241,plain,
( ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssList(app(sK5,cons(sK4,nil)))
| ~ spl21_10
| spl21_68 ),
inference(forward_subsumption_resolution,[],[f3225,f543]) ).
fof(f3244,plain,
( ~ ssItem(sK4)
| ~ ssList(app(sK5,cons(sK4,nil)))
| ~ spl21_10
| spl21_68 ),
inference(forward_subsumption_resolution,[],[f3241,f208]) ).
fof(f3247,plain,
( ~ ssList(app(sK5,cons(sK4,nil)))
| ~ spl21_2
| ~ spl21_10
| spl21_68 ),
inference(forward_subsumption_resolution,[],[f3244,f333]) ).
fof(f3751,plain,
( ~ spl21_69
| ~ spl21_2
| ~ spl21_10
| spl21_68 ),
inference(avatar_split_clause,[],[f3247,f3215,f541,f331,f3219]) ).
fof(f3752,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK5)
| spl21_69 ),
inference(resolution,[],[f3221,f207]) ).
fof(f3762,plain,
( ~ ssList(sK5)
| ~ spl21_30
| spl21_69 ),
inference(forward_subsumption_resolution,[],[f3752,f1624]) ).
fof(f3763,plain,
( $false
| ~ spl21_10
| ~ spl21_30
| spl21_69 ),
inference(forward_subsumption_resolution,[],[f3762,f543]) ).
fof(f3764,plain,
( ~ spl21_10
| ~ spl21_30
| spl21_69 ),
inference(avatar_contradiction_clause,[],[f3763]) ).
cnf(s1,plain,
spl21_1,
inference(sat_conversion,[],[f274]) ).
cnf(s2,plain,
spl21_2,
inference(sat_conversion,[],[f334]) ).
cnf(s3,plain,
( ~ spl21_3
| ~ spl21_4 ),
inference(sat_conversion,[],[f389]) ).
cnf(s4,plain,
( ~ spl21_2
| spl21_3
| spl21_5 ),
inference(sat_conversion,[],[f408]) ).
cnf(s5,plain,
( ~ spl21_3
| spl21_6 ),
inference(sat_conversion,[],[f414]) ).
cnf(s6,plain,
( ~ spl21_2
| spl21_4
| spl21_7 ),
inference(sat_conversion,[],[f451]) ).
cnf(s7,plain,
spl21_8,
inference(sat_conversion,[],[f488]) ).
cnf(s8,plain,
( ~ spl21_4
| spl21_9 ),
inference(sat_conversion,[],[f539]) ).
cnf(s9,plain,
spl21_10,
inference(sat_conversion,[],[f544]) ).
cnf(s10,plain,
spl21_11,
inference(sat_conversion,[],[f627]) ).
cnf(s15,plain,
( ~ spl21_2
| ~ spl21_5
| spl21_16 ),
inference(sat_conversion,[],[f842]) ).
cnf(s16,plain,
( ~ spl21_7
| ~ spl21_8
| spl21_17 ),
inference(sat_conversion,[],[f878]) ).
cnf(s22,plain,
( ~ spl21_8
| ~ spl21_16
| spl21_20 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s26,plain,
( spl21_6
| spl21_9 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s34,plain,
( ~ spl21_1
| ~ spl21_30
| spl21_31 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s35,plain,
( ~ spl21_2
| spl21_30 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s36,plain,
( ~ spl21_2
| ~ spl21_11
| ~ spl21_31
| spl21_32 ),
inference(sat_conversion,[],[f1788]) ).
cnf(s37,plain,
( ~ spl21_6
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17
| ~ spl21_32 ),
inference(sat_conversion,[],[f1863]) ).
cnf(s62,plain,
spl21_55,
inference(sat_conversion,[],[f2676]) ).
cnf(s65,plain,
( ~ spl21_8
| ~ spl21_20
| spl21_58 ),
inference(sat_conversion,[],[f2892]) ).
cnf(s74,plain,
( ~ spl21_2
| ~ spl21_8
| ~ spl21_58
| spl21_67 ),
inference(sat_conversion,[],[f3170]) ).
cnf(s75,plain,
( ~ spl21_1
| ~ spl21_9
| ~ spl21_11
| ~ spl21_55
| ~ spl21_67
| ~ spl21_68
| ~ spl21_69 ),
inference(sat_conversion,[],[f3222]) ).
cnf(s87,plain,
( ~ spl21_2
| ~ spl21_10
| spl21_68
| ~ spl21_69 ),
inference(sat_conversion,[],[f3751]) ).
cnf(s88,plain,
( ~ spl21_10
| ~ spl21_30
| spl21_69 ),
inference(sat_conversion,[],[f3764]) ).
cnf(s110,plain,
spl21_30,
inference(rat,[],[s35,s2]) ).
cnf(s113,plain,
spl21_69,
inference(rat,[],[s88,s9,s110]) ).
cnf(s116,plain,
spl21_68,
inference(rat,[],[s87,s2,s9,s113]) ).
cnf(s122,plain,
spl21_31,
inference(rat,[],[s34,s110,s1]) ).
cnf(s123,plain,
spl21_32,
inference(rat,[],[s36,s2,s10,s122]) ).
cnf(s126,plain,
spl21_9,
inference(rat,[],[s16,s6,s37,s8,s26,s7,s2,s10,s9,s123]) ).
cnf(s129,plain,
~ spl21_67,
inference(rat,[],[s75,s113,s116,s1,s62,s10,s126]) ).
cnf(s133,plain,
~ spl21_58,
inference(rat,[],[s74,s2,s7,s129]) ).
cnf(s135,plain,
~ spl21_20,
inference(rat,[],[s65,s7,s133]) ).
cnf(s136,plain,
~ spl21_16,
inference(rat,[],[s22,s7,s135]) ).
cnf(s137,plain,
~ spl21_5,
inference(rat,[],[s15,s2,s136]) ).
cnf(s138,plain,
spl21_3,
inference(rat,[],[s4,s2,s137]) ).
cnf(s139,plain,
spl21_6,
inference(rat,[],[s5,s138]) ).
cnf(s140,plain,
~ spl21_4,
inference(rat,[],[s3,s138]) ).
cnf(s146,plain,
~ spl21_17,
inference(rat,[],[s37,s123,s9,s10,s139]) ).
cnf(s147,plain,
spl21_7,
inference(rat,[],[s6,s2,s140]) ).
cnf(s150,plain,
$false,
inference(rat,[],[s16,s7,s146,s147]) ).
fof(f3765,plain,
$false,
inference(avatar_sat_refutation,[],[s150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC296+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 08:51:06 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 5.36/1.61 % (3408908)Detected formulas, will run a generic FOF schedule.
% 5.36/1.61 % (3408915)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=2530147993:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.36/1.61 % (3408918)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3641162435:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.36/1.61 % (3408917)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4168003218:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.36/1.61 % (3408913)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=302439305:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.36/1.61 % (3408919)dis-21_1_sil=8000:lcm=predicate:random_seed=999482271: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)
% 5.36/1.61 % (3408914)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=3976946770:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.36/1.61 % (3408916)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3145291845:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.36/1.61 % (3408916)Instruction limit reached!
% 5.36/1.61 % (3408916)------------------------------
% 5.36/1.61 % (3408916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408916)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408916)Termination reason: Instruction limit
% 5.36/1.61 % (3408916)Termination phase: Saturation
% 5.36/1.61 % (3408916)Time elapsed: 0.069 s
% 5.36/1.61 % (3408916)Peak memory usage: 89 MB
% 5.36/1.61 % (3408916)Instructions burned: 109 (million)
% 5.36/1.61 % (3408919)Instruction limit reached!
% 5.36/1.61 % (3408919)------------------------------
% 5.36/1.61 % (3408919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408919)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408919)Termination reason: Instruction limit
% 5.36/1.61 % (3408919)Termination phase: Saturation
% 5.36/1.61 % (3408919)Time elapsed: 0.069 s
% 5.36/1.61 % (3408919)Peak memory usage: 91 MB
% 5.36/1.61 % (3408919)Instructions burned: 129 (million)
% 5.36/1.61 % (3408917)Instruction limit reached!
% 5.36/1.61 % (3408917)------------------------------
% 5.36/1.61 % (3408917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408917)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408917)Termination reason: Instruction limit
% 5.36/1.61 % (3408917)Termination phase: Saturation
% 5.36/1.61 % (3408917)Time elapsed: 0.073 s
% 5.36/1.61 % (3408917)Peak memory usage: 88 MB
% 5.36/1.61 % (3408917)Instructions burned: 120 (million)
% 5.36/1.61 % (3408918)Instruction limit reached!
% 5.36/1.61 % (3408918)------------------------------
% 5.36/1.61 % (3408918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408918)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408918)Termination reason: Instruction limit
% 5.36/1.61 % (3408918)Termination phase: Saturation
% 5.36/1.61 % (3408918)Time elapsed: 0.096 s
% 5.36/1.61 % (3408918)Peak memory usage: 90 MB
% 5.36/1.61 % (3408918)Instructions burned: 139 (million)
% 5.36/1.61 % (3408928)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2737471587:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.36/1.61 % (3408927)lrs+10_1_sil=8000:sp=occurrence:random_seed=2067751776:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.36/1.61 % (3408929)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2661623879:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.36/1.61 % (3408930)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=4027998499:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.36/1.61 % (3408928)Instruction limit reached!
% 5.36/1.61 % (3408928)------------------------------
% 5.36/1.61 % (3408928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408928)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408928)Termination reason: Instruction limit
% 5.36/1.61 % (3408928)Termination phase: Saturation
% 5.36/1.61 % (3408928)Time elapsed: 0.085 s
% 5.36/1.61 % (3408928)Peak memory usage: 94 MB
% 5.36/1.61 % (3408928)Instructions burned: 159 (million)
% 5.36/1.61 % (3408930)Instruction limit reached!
% 5.36/1.61 % (3408930)------------------------------
% 5.36/1.61 % (3408930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408930)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408930)Termination reason: Instruction limit
% 5.36/1.61 % (3408930)Termination phase: Saturation
% 5.36/1.61 % (3408930)Time elapsed: 0.119 s
% 5.36/1.61 % (3408930)Peak memory usage: 95 MB
% 5.36/1.61 % (3408930)Instructions burned: 249 (million)
% 5.36/1.61 % (3408927)Instruction limit reached!
% 5.36/1.61 % (3408927)------------------------------
% 5.36/1.61 % (3408927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408927)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408927)Termination reason: Instruction limit
% 5.36/1.61 % (3408927)Termination phase: Saturation
% 5.36/1.61 % (3408927)Time elapsed: 0.166 s
% 5.36/1.61 % (3408927)Peak memory usage: 93 MB
% 5.36/1.61 % (3408927)Instructions burned: 287 (million)
% 5.36/1.61 % (3408929)Instruction limit reached!
% 5.36/1.61 % (3408929)------------------------------
% 5.36/1.61 % (3408929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408929)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408929)Termination reason: Instruction limit
% 5.36/1.61 % (3408929)Termination phase: Saturation
% 5.36/1.61 % (3408929)Time elapsed: 0.200 s
% 5.36/1.61 % (3408929)Peak memory usage: 92 MB
% 5.36/1.61 % (3408929)Instructions burned: 326 (million)
% 5.36/1.61 % (3408935)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2398505076:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.36/1.61 % (3408936)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3669078338:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.36/1.61 % (3408937)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3079765259:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.36/1.61 % (3408938)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1575385453:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.36/1.61 % (3408937)Instruction limit reached!
% 5.36/1.61 % (3408937)------------------------------
% 5.36/1.61 % (3408937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408937)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408937)Termination reason: Instruction limit
% 5.36/1.61 % (3408937)Termination phase: Saturation
% 5.36/1.61 % (3408937)Time elapsed: 0.071 s
% 5.36/1.61 % (3408937)Peak memory usage: 90 MB
% 5.36/1.61 % (3408937)Instructions burned: 114 (million)
% 5.36/1.61 % (3408915)First to succeed.
% 5.36/1.61 % (3408915)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3408908"
% 5.36/1.61 % (3408938)Instruction limit reached!
% 5.36/1.61 % (3408938)------------------------------
% 5.36/1.61 % (3408938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408938)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408938)Termination reason: Instruction limit
% 5.36/1.61 % (3408938)Termination phase: Saturation
% 5.36/1.61 % (3408938)Time elapsed: 0.064 s
% 5.36/1.61 % (3408938)Peak memory usage: 90 MB
% 5.36/1.61 % (3408938)Instructions burned: 127 (million)
% 5.36/1.61 % (3408935)Instruction limit reached!
% 5.36/1.61 % (3408935)------------------------------
% 5.36/1.61 % (3408935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.36/1.61 % (3408935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.36/1.61 % (3408935)CaDiCaL version: 2.1.3
% 5.36/1.61 % (3408935)Termination reason: Instruction limit
% 5.36/1.61 % (3408935)Termination phase: Saturation
% 5.36/1.61 % (3408935)Time elapsed: 0.173 s
% 5.36/1.61 % (3408935)Peak memory usage: 90 MB
% 5.36/1.61 % (3408935)Instructions burned: 295 (million)
% 5.36/1.61 % (3408915)Refutation found. Thanks to Tanya!
% 5.36/1.61 % SZS status Theorem for theBenchmark
% 5.36/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.80 % (3408915)------------------------------
% 0.20/1.80 % (3408915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.80 % (3408915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.80 % (3408915)CaDiCaL version: 2.1.3
% 0.20/1.80 % (3408915)Termination reason: Refutation
% 0.20/1.80 % (3408915)Time elapsed: 0.640 s
% 0.20/1.80 % (3408915)Peak memory usage: 138 MB
% 0.20/1.80 % (3408915)Instructions burned: 1753 (million)
% 0.20/1.80 % (3408915)------------------------------
% 0.20/1.80 % (3408915)------------------------------
% 0.20/1.80 % (3408908)Success in time 0.942 s
% 0.20/1.80 % Vampire exiting
%------------------------------------------------------------------------------