%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC168+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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:45 PM UTC 2026
% Result : Theorem 6.52s 1.96s
% Output : Refutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 89 ( 23 unt; 4 def)
% Number of atoms : 422 ( 76 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 551 ( 218 ~; 207 |; 84 &)
% ( 9 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn 121 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
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(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(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ~ ssList(X5)
| app(app(X4,X2),X5) != X3
| ~ strictorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X2
& lt(X6,X8) ) ) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X5
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& lt(X12,X10) ) ) ) ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> ! [X17] :
( ~ ssList(X17)
| app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) != X0
| neq(X14,X15) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ~ ssList(X5)
| app(app(X4,X2),X5) != X3
| ~ strictorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X2
& lt(X6,X8) ) ) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X5
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& lt(X12,X10) ) ) ) ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> ! [X17] :
( ~ ssList(X17)
| app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) != X0
| neq(X14,X15) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,X2),X5) = X3
& strictorderedP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X2
| ~ lt(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != X2
| ~ lt(X12,X10) ) ) ) ) )
& ssList(X4) )
& ? [X14] :
( ? [X15] :
( ? [X16] :
( ? [X17] :
( ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = X0
& ~ neq(X14,X15) )
& ssList(X16) )
& ssItem(X15) )
& ssItem(X14) )
& ( nil = X3
| nil != X2 ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f108,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(f109,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f124,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f131,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(f132,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,[],[f131]) ).
fof(f133,plain,
( ssList(sK3)
& sK1 = sK3
& sK0 = sK2
& ssList(sK5)
& sK3 = app(app(sK4,sK2),sK5)
& strictorderedP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != sK4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != sK2
| ~ lt(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != sK5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != sK2
| ~ lt(X12,X10) ) ) ) )
& ssList(sK4)
& ssList(sK9)
& sK0 = app(app(app(sK8,cons(sK6,nil)),cons(sK7,nil)),sK9)
& ~ neq(sK6,sK7)
& ssList(sK8)
& ssItem(sK7)
& ssItem(sK6)
& ( nil = sK3
| nil != sK2 )
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X14,sK6),skolemize(X15,sK7),skolemize(X16,sK8),skolemize(X17,sK9)],[f98]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f118]) ).
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) ) )
& ( ! [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,[],[f132]) ).
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) ) )
& ( ! [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,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK14(X0),sK15(X0))
& app(app(sK16(X0),cons(sK14(X0),sK17(X0))),cons(sK15(X0),sK18(X0))) = X0
& ssList(sK18(X0))
& ssList(sK17(X0))
& ssList(sK16(X0))
& ssItem(sK15(X0))
& ssItem(sK14(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,[sK14,sK15,sK16,sK17,sK18]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0)),skolemize(X4,sK17(X0)),skolemize(X5,sK18(X0))],[f145]) ).
fof(f147,plain,
ssList(sK0),
inference(cnf_transformation,[],[f133]) ).
fof(f151,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f133]) ).
fof(f152,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f133]) ).
fof(f153,plain,
ssList(sK8),
inference(cnf_transformation,[],[f133]) ).
fof(f154,plain,
~ neq(sK6,sK7),
inference(cnf_transformation,[],[f133]) ).
fof(f155,plain,
sK0 = app(app(app(sK8,cons(sK6,nil)),cons(sK7,nil)),sK9),
inference(cnf_transformation,[],[f133]) ).
fof(f156,plain,
ssList(sK9),
inference(cnf_transformation,[],[f133]) ).
fof(f160,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f133]) ).
fof(f163,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f133]) ).
fof(f176,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f181,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f182,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f187,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f191,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f192,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f198,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f208,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,[],[f146]) ).
fof(f223,plain,
! [X10,X8,X6,X9,X7] :
( ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f208]) ).
fof(f235,plain,
( sK6 = sK7
| ~ ssItem(sK7)
| ~ ssItem(sK6) ),
inference(resolution,[],[f154,f191]) ).
fof(f244,definition,
( spl19_5
<=> sK6 = sK7 ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f245,plain,
( sK6 = sK7
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f247,plain,
( sK6 = sK7
| ~ ssItem(sK6) ),
inference(forward_subsumption_resolution,[],[f235,f152]) ).
fof(f248,plain,
sK6 = sK7,
inference(forward_subsumption_resolution,[],[f247,f151]) ).
fof(f249,plain,
spl19_5,
inference(avatar_split_clause,[],[f248,f244]) ).
fof(f250,plain,
strictorderedP(sK0),
inference(superposition,[],[f160,f163]) ).
fof(f313,plain,
( sK0 = app(app(app(sK8,cons(sK6,nil)),cons(sK6,nil)),sK9)
| ~ spl19_5 ),
inference(forward_demodulation,[],[f155,f245]) ).
fof(f319,plain,
( sK0 = app(app(sK8,cons(sK6,nil)),app(cons(sK6,nil),sK9))
| ~ ssList(sK9)
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK8,cons(sK6,nil)))
| ~ spl19_5 ),
inference(superposition,[],[f313,f181]) ).
fof(f336,plain,
( sK0 = app(app(sK8,cons(sK6,nil)),app(cons(sK6,nil),sK9))
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK8,cons(sK6,nil)))
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f319,f156]) ).
fof(f339,definition,
( spl19_13
<=> ssList(app(sK8,cons(sK6,nil))) ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f340,plain,
( ~ ssList(app(sK8,cons(sK6,nil)))
| spl19_13 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,definition,
( spl19_14
<=> ssList(cons(sK6,nil)) ),
introduced(definition,[new_symbols(definition,[spl19_14])],[avatar_definition]) ).
fof(f343,plain,
( ~ ssList(cons(sK6,nil))
| spl19_14 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f345,definition,
( spl19_15
<=> sK0 = app(app(sK8,cons(sK6,nil)),app(cons(sK6,nil),sK9)) ),
introduced(definition,[new_symbols(definition,[spl19_15])],[avatar_definition]) ).
fof(f346,plain,
( sK0 = app(app(sK8,cons(sK6,nil)),app(cons(sK6,nil),sK9))
| ~ spl19_15 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f365,plain,
( ~ spl19_13
| ~ spl19_14
| spl19_15
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f336,f244,f345,f342,f339]) ).
fof(f371,plain,
( ~ ssItem(sK6)
| ~ ssList(nil)
| spl19_14 ),
inference(resolution,[],[f343,f176]) ).
fof(f372,plain,
( ~ ssList(nil)
| spl19_14 ),
inference(forward_subsumption_resolution,[],[f371,f151]) ).
fof(f373,plain,
( $false
| spl19_14 ),
inference(forward_subsumption_resolution,[],[f372,f192]) ).
fof(f374,plain,
spl19_14,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f376,plain,
( ~ ssList(cons(sK6,nil))
| ~ ssList(sK8)
| spl19_13 ),
inference(resolution,[],[f340,f187]) ).
fof(f377,plain,
( ~ ssList(cons(sK6,nil))
| spl19_13 ),
inference(forward_subsumption_resolution,[],[f376,f153]) ).
fof(f378,plain,
( ~ spl19_14
| spl19_13 ),
inference(avatar_split_clause,[],[f377,f339,f342]) ).
fof(f536,plain,
( sK0 = app(app(sK8,cons(sK6,nil)),cons(sK6,sK9))
| ~ ssItem(sK6)
| ~ ssList(sK9)
| ~ spl19_15 ),
inference(superposition,[],[f346,f182]) ).
fof(f568,plain,
( sK0 = app(app(sK8,cons(sK6,nil)),cons(sK6,sK9))
| ~ ssList(sK9)
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f536,f151]) ).
fof(f575,plain,
( sK0 = app(app(sK8,cons(sK6,nil)),cons(sK6,sK9))
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f568,f156]) ).
fof(f858,plain,
( ~ strictorderedP(sK0)
| ~ ssList(sK9)
| ~ ssList(nil)
| ~ ssList(sK8)
| ~ ssItem(sK6)
| ~ ssItem(sK6)
| lt(sK6,sK6)
| ~ ssList(sK0)
| ~ spl19_15 ),
inference(superposition,[],[f223,f575]) ).
fof(f869,plain,
( ~ strictorderedP(sK0)
| ~ ssList(sK9)
| ~ ssList(nil)
| ~ ssList(sK8)
| ~ ssItem(sK6)
| lt(sK6,sK6)
| ~ ssList(sK0)
| ~ spl19_15 ),
inference(duplicate_literal_removal,[],[f858]) ).
fof(f889,plain,
( ~ ssList(sK9)
| ~ ssList(nil)
| ~ ssList(sK8)
| ~ ssItem(sK6)
| lt(sK6,sK6)
| ~ ssList(sK0)
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f869,f250]) ).
fof(f896,plain,
( ~ ssList(nil)
| ~ ssList(sK8)
| ~ ssItem(sK6)
| lt(sK6,sK6)
| ~ ssList(sK0)
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f889,f156]) ).
fof(f902,plain,
( ~ ssList(sK8)
| ~ ssItem(sK6)
| lt(sK6,sK6)
| ~ ssList(sK0)
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f896,f192]) ).
fof(f903,plain,
( ~ ssItem(sK6)
| lt(sK6,sK6)
| ~ ssList(sK0)
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f902,f153]) ).
fof(f904,plain,
( lt(sK6,sK6)
| ~ ssList(sK0)
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f903,f151]) ).
fof(f905,plain,
( lt(sK6,sK6)
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f904,f147]) ).
fof(f906,plain,
( ~ ssItem(sK6)
| ~ spl19_15 ),
inference(resolution,[],[f905,f198]) ).
fof(f912,plain,
( $false
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f906,f151]) ).
fof(f913,plain,
~ spl19_15,
inference(avatar_contradiction_clause,[],[f912]) ).
cnf(s3,plain,
spl19_5,
inference(sat_conversion,[],[f249]) ).
cnf(s18,plain,
( ~ spl19_5
| ~ spl19_13
| ~ spl19_14
| spl19_15 ),
inference(sat_conversion,[],[f365]) ).
cnf(s20,plain,
spl19_14,
inference(sat_conversion,[],[f374]) ).
cnf(s21,plain,
( spl19_13
| ~ spl19_14 ),
inference(sat_conversion,[],[f378]) ).
cnf(s89,plain,
~ spl19_15,
inference(sat_conversion,[],[f913]) ).
cnf(s94,plain,
spl19_13,
inference(rat,[],[s21,s20]) ).
cnf(s98,plain,
~ spl19_5,
inference(rat,[],[s18,s89,s20,s94]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s3,s98]) ).
fof(f914,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC168+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 08:18:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.52/1.96 % (3689959)Detected formulas, will run a generic FOF schedule.
% 6.52/1.96 % (3689968)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2714483309:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.52/1.96 % (3689969)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3917018180:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.52/1.96 % (3689970)dis-21_1_sil=8000:lcm=predicate:random_seed=3277529529:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.52/1.96 % (3689964)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=4256209258:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.52/1.96 % (3689967)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2387014476:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.52/1.96 % (3689965)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=1756128169:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.52/1.96 % (3689966)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=3350076169:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.52/1.96 % (3689968)Instruction limit reached!
% 6.52/1.96 % (3689968)------------------------------
% 6.52/1.96 % (3689968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689968)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689968)Termination reason: Instruction limit
% 6.52/1.96 % (3689968)Termination phase: Saturation
% 6.52/1.96 % (3689968)Time elapsed: 0.039 s
% 6.52/1.96 % (3689968)Peak memory usage: 89 MB
% 6.52/1.96 % (3689968)Instructions burned: 126 (million)
% 6.52/1.96 % (3689967)Instruction limit reached!
% 6.52/1.96 % (3689967)------------------------------
% 6.52/1.96 % (3689967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689967)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689967)Termination reason: Instruction limit
% 6.52/1.96 % (3689967)Termination phase: Saturation
% 6.52/1.96 % (3689967)Time elapsed: 0.070 s
% 6.52/1.96 % (3689967)Peak memory usage: 90 MB
% 6.52/1.96 % (3689967)Instructions burned: 110 (million)
% 6.52/1.96 % (3689970)Instruction limit reached!
% 6.52/1.96 % (3689970)------------------------------
% 6.52/1.96 % (3689970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689970)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689970)Termination reason: Instruction limit
% 6.52/1.96 % (3689970)Termination phase: Saturation
% 6.52/1.96 % (3689970)Time elapsed: 0.074 s
% 6.52/1.96 % (3689970)Peak memory usage: 91 MB
% 6.52/1.96 % (3689970)Instructions burned: 129 (million)
% 6.52/1.96 % (3689969)Instruction limit reached!
% 6.52/1.96 % (3689969)------------------------------
% 6.52/1.96 % (3689969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689969)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689969)Termination reason: Instruction limit
% 6.52/1.96 % (3689969)Termination phase: Saturation
% 6.52/1.96 % (3689969)Time elapsed: 0.098 s
% 6.52/1.96 % (3689969)Peak memory usage: 90 MB
% 6.52/1.96 % (3689969)Instructions burned: 140 (million)
% 6.52/1.96 % (3689978)lrs+10_1_sil=8000:sp=occurrence:random_seed=3820618971:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.52/1.96 % (3689978)Instruction limit reached!
% 6.52/1.96 % (3689978)------------------------------
% 6.52/1.96 % (3689978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689978)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689978)Termination reason: Instruction limit
% 6.52/1.96 % (3689978)Termination phase: Saturation
% 6.52/1.96 % (3689978)Time elapsed: 0.090 s
% 6.52/1.96 % (3689978)Peak memory usage: 92 MB
% 6.52/1.96 % (3689978)Instructions burned: 286 (million)
% 6.52/1.96 % (3689979)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1027671176:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.52/1.96 % (3689980)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1450866312:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.52/1.96 % (3689982)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=1870178991:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.52/1.96 % (3689979)Instruction limit reached!
% 6.52/1.96 % (3689979)------------------------------
% 6.52/1.96 % (3689979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689979)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689979)Termination reason: Instruction limit
% 6.52/1.96 % (3689979)Termination phase: Saturation
% 6.52/1.96 % (3689979)Time elapsed: 0.079 s
% 6.52/1.96 % (3689979)Peak memory usage: 94 MB
% 6.52/1.96 % (3689979)Instructions burned: 157 (million)
% 6.52/1.96 % (3689985)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4222125488:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.52/1.96 % (3689982)Instruction limit reached!
% 6.52/1.96 % (3689982)------------------------------
% 6.52/1.96 % (3689982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689982)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689982)Termination reason: Instruction limit
% 6.52/1.96 % (3689982)Termination phase: Saturation
% 6.52/1.96 % (3689982)Time elapsed: 0.124 s
% 6.52/1.96 % (3689982)Peak memory usage: 97 MB
% 6.52/1.96 % (3689982)Instructions burned: 248 (million)
% 6.52/1.96 % (3689985)Instruction limit reached!
% 6.52/1.96 % (3689985)------------------------------
% 6.52/1.96 % (3689985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689985)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689985)Termination reason: Instruction limit
% 6.52/1.96 % (3689985)Termination phase: Saturation
% 6.52/1.96 % (3689985)Time elapsed: 0.094 s
% 6.52/1.96 % (3689985)Peak memory usage: 90 MB
% 6.52/1.96 % (3689985)Instructions burned: 296 (million)
% 6.52/1.96 % (3689980)Instruction limit reached!
% 6.52/1.96 % (3689980)------------------------------
% 6.52/1.96 % (3689980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689980)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689980)Termination reason: Instruction limit
% 6.52/1.96 % (3689980)Termination phase: Saturation
% 6.52/1.96 % (3689980)Time elapsed: 0.203 s
% 6.52/1.96 % (3689980)Peak memory usage: 92 MB
% 6.52/1.96 % (3689980)Instructions burned: 326 (million)
% 6.52/1.96 % (3689988)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3004220169:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.52/1.96 % (3689990)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1505772635:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.52/1.96 % (3689989)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3201689134:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.52/1.96 % (3689990)Instruction limit reached!
% 6.52/1.96 % (3689990)------------------------------
% 6.52/1.96 % (3689990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689990)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689990)Termination reason: Instruction limit
% 6.52/1.96 % (3689990)Termination phase: Saturation
% 6.52/1.96 % (3689990)Time elapsed: 0.035 s
% 6.52/1.96 % (3689990)Peak memory usage: 90 MB
% 6.52/1.96 % (3689990)Instructions burned: 129 (million)
% 6.52/1.96 % (3689992)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2379186750:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.52/1.96 % (3689989)Instruction limit reached!
% 6.52/1.96 % (3689989)------------------------------
% 6.52/1.96 % (3689989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689989)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689989)Termination reason: Instruction limit
% 6.52/1.96 % (3689989)Termination phase: Saturation
% 6.52/1.96 % (3689989)Time elapsed: 0.074 s
% 6.52/1.96 % (3689989)Peak memory usage: 91 MB
% 6.52/1.96 % (3689989)Instructions burned: 114 (million)
% 6.52/1.96 % (3689995)lrs+10_1_sil=8000:sp=occurrence:random_seed=2505212977:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.52/1.96 % (3689992)Instruction limit reached!
% 6.52/1.96 % (3689992)------------------------------
% 6.52/1.96 % (3689992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689992)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689992)Termination reason: Instruction limit
% 6.52/1.96 % (3689992)Termination phase: Saturation
% 6.52/1.96 % (3689992)Time elapsed: 0.067 s
% 6.52/1.96 % (3689992)Peak memory usage: 89 MB
% 6.52/1.96 % (3689992)Instructions burned: 115 (million)
% 6.52/1.96 % (3689997)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=21558737:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.52/1.96 % (3689997)First to succeed.
% 6.52/1.96 % (3689997)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3689959"
% 6.52/1.96 % (3689999)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1815827632:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.52/1.96 % (3689966)Also succeeded, but the first one will report.
% 6.52/1.96 % (3689964)Also succeeded, but the first one will report.
% 6.52/1.96 % (3689995)Instruction limit reached!
% 6.52/1.96 % (3689995)------------------------------
% 6.52/1.96 % (3689995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.96 % (3689995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.96 % (3689995)CaDiCaL version: 2.1.3
% 6.52/1.96 % (3689995)Termination reason: Instruction limit
% 6.52/1.96 % (3689995)Termination phase: Saturation
% 6.52/1.96 % (3689995)Time elapsed: 0.259 s
% 6.52/1.96 % (3689995)Peak memory usage: 100 MB
% 6.52/1.96 % (3689995)Instructions burned: 911 (million)
% 6.52/1.96 % (3690002)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=757658660:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.52/1.96 % (3689997)Refutation found. Thanks to Tanya!
% 6.52/1.96 % SZS status Theorem for theBenchmark
% 6.52/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.45/2.15 % (3689997)------------------------------
% 8.45/2.15 % (3689997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.15 % (3689997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.15 % (3689997)CaDiCaL version: 2.1.3
% 8.45/2.15 % (3689997)Termination reason: Refutation
% 8.45/2.15 % (3689997)Time elapsed: 0.019 s
% 8.45/2.15 % (3689997)Peak memory usage: 90 MB
% 8.45/2.15 % (3689997)Instructions burned: 27 (million)
% 8.45/2.15 % (3689997)------------------------------
% 8.45/2.15 % (3689997)------------------------------
% 8.45/2.15 % (3689959)Success in time 1.113 s
% 8.45/2.15 % Vampire exiting
%------------------------------------------------------------------------------