%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC305+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 : n018.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 01:03:23 PM UTC 2026
% Result : Theorem 6.83s 1.87s
% Output : Refutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 26
% Syntax : Number of formulae : 165 ( 44 unt; 18 def)
% Number of atoms : 626 ( 56 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 805 ( 344 ~; 329 |; 74 &)
% ( 21 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 27 ( 25 usr; 19 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 103 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
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(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
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
| ~ frontsegP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& strictorderedP(X4) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9) != X0
| ~ lt(X6,X5) ) ) ) ) ) ) ) ) ) ) ),
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
| ~ frontsegP(X3,X2)
| ~ strictorderedP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& strictorderedP(X4) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9) != X0
| ~ lt(X6,X5) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ strictorderedP(X4) )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9) = X0
& lt(X6,X5)
& ssList(X9) )
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& strictorderedP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ strictorderedP(X4) )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9) = X0
& lt(X6,X5)
& ssList(X9) )
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) )
& 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(f149,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f149]) ).
fof(f153,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(f154,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,[],[f153]) ).
fof(f155,plain,
( sK1 = sK3
& sK0 = sK2
& frontsegP(sK3,sK2)
& strictorderedP(sK2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK2,X4)
| ~ frontsegP(sK3,X4)
| ~ segmentP(X4,sK2)
| ~ strictorderedP(X4) )
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8)
& lt(sK5,sK4)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6)
& ssItem(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,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X5,sK4),skolemize(X6,sK5),skolemize(X7,sK6),skolemize(X8,sK7),skolemize(X9,sK8)],[f99]) ).
fof(f176,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,[],[f154]) ).
fof(f177,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,[],[f176]) ).
fof(f178,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))],[f177]) ).
fof(f179,plain,
ssList(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f183,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f155]) ).
fof(f184,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f155]) ).
fof(f185,plain,
ssList(sK6),
inference(cnf_transformation,[],[f155]) ).
fof(f186,plain,
ssList(sK7),
inference(cnf_transformation,[],[f155]) ).
fof(f187,plain,
ssList(sK8),
inference(cnf_transformation,[],[f155]) ).
fof(f188,plain,
lt(sK5,sK4),
inference(cnf_transformation,[],[f155]) ).
fof(f189,plain,
sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(cnf_transformation,[],[f155]) ).
fof(f191,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f155]) ).
fof(f193,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f155]) ).
fof(f205,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f210,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(f211,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f216,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f221,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f253,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f261,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,[],[f178]) ).
fof(f269,plain,
sK2 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(definition_unfolding,[],[f189,f193]) ).
fof(f271,plain,
ssList(sK2),
inference(definition_unfolding,[],[f179,f193]) ).
fof(f284,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,[],[f261]) ).
fof(f291,definition,
( spl21_1
<=> sK2 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f293,plain,
( sK2 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,plain,
spl21_1,
inference(avatar_split_clause,[],[f269,f291]) ).
fof(f326,plain,
( sK2 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ spl21_1 ),
inference(superposition,[],[f210,f293]) ).
fof(f327,plain,
( sK2 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f326,f187]) ).
fof(f354,definition,
( spl21_2
<=> ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f356,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl21_2 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl21_3
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f360,plain,
( ~ ssList(cons(sK5,nil))
| spl21_3 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f362,definition,
( spl21_4
<=> sK2 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f364,plain,
( sK2 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f365,plain,
( ~ spl21_2
| ~ spl21_3
| spl21_4
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f327,f291,f362,f358,f354]) ).
fof(f366,plain,
( ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl21_2 ),
inference(resolution,[],[f356,f216]) ).
fof(f379,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl21_2 ),
inference(forward_subsumption_resolution,[],[f366,f186]) ).
fof(f382,definition,
( spl21_5
<=> ssItem(sK4) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f384,plain,
( ssItem(sK4)
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,plain,
spl21_5,
inference(avatar_split_clause,[],[f183,f382]) ).
fof(f428,definition,
( spl21_6
<=> ssItem(sK5) ),
introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).
fof(f430,plain,
( ssItem(sK5)
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f431,plain,
spl21_6,
inference(avatar_split_clause,[],[f184,f428]) ).
fof(f474,definition,
( spl21_7
<=> ssList(sK8) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f476,plain,
( ssList(sK8)
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,plain,
spl21_7,
inference(avatar_split_clause,[],[f187,f474]) ).
fof(f569,definition,
( spl21_8
<=> ssList(sK6) ),
introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).
fof(f571,plain,
( ssList(sK6)
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,plain,
spl21_8,
inference(avatar_split_clause,[],[f185,f569]) ).
fof(f664,definition,
( spl21_9
<=> ssList(sK7) ),
introduced(definition,[new_symbols(definition,[spl21_9])],[avatar_definition]) ).
fof(f666,plain,
( ssList(sK7)
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f667,plain,
spl21_9,
inference(avatar_split_clause,[],[f186,f664]) ).
fof(f759,definition,
( spl21_10
<=> lt(sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f761,plain,
( lt(sK5,sK4)
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f762,plain,
spl21_10,
inference(avatar_split_clause,[],[f188,f759]) ).
fof(f764,plain,
( ~ lt(sK4,sK5)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| ~ spl21_10 ),
inference(resolution,[],[f761,f253]) ).
fof(f773,plain,
( ~ lt(sK4,sK5)
| ~ ssItem(sK4)
| ~ spl21_6
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f764,f430]) ).
fof(f779,plain,
( ~ lt(sK4,sK5)
| ~ spl21_5
| ~ spl21_6
| ~ spl21_10 ),
inference(forward_subsumption_resolution,[],[f773,f384]) ).
fof(f877,definition,
( spl21_12
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition]) ).
fof(f879,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl21_12 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f880,plain,
( ~ spl21_12
| spl21_2 ),
inference(avatar_split_clause,[],[f379,f354,f877]) ).
fof(f882,definition,
( spl21_13
<=> ssList(sK2) ),
introduced(definition,[new_symbols(definition,[spl21_13])],[avatar_definition]) ).
fof(f884,plain,
( ssList(sK2)
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f885,plain,
spl21_13,
inference(avatar_split_clause,[],[f271,f882]) ).
fof(f978,definition,
( spl21_14
<=> strictorderedP(sK2) ),
introduced(definition,[new_symbols(definition,[spl21_14])],[avatar_definition]) ).
fof(f980,plain,
( strictorderedP(sK2)
| ~ spl21_14 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f981,plain,
spl21_14,
inference(avatar_split_clause,[],[f191,f978]) ).
fof(f984,definition,
( spl21_15
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl21_15])],[avatar_definition]) ).
fof(f985,plain,
( ssList(cons(sK4,nil))
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f986,plain,
( ~ ssList(cons(sK4,nil))
| spl21_15 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f992,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl21_15 ),
inference(resolution,[],[f986,f205]) ).
fof(f1013,plain,
( ~ ssList(nil)
| ~ spl21_5
| spl21_15 ),
inference(forward_subsumption_resolution,[],[f992,f384]) ).
fof(f1014,plain,
( $false
| ~ spl21_5
| spl21_15 ),
inference(forward_subsumption_resolution,[],[f1013,f221]) ).
fof(f1015,plain,
( ~ spl21_5
| spl21_15 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1306,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl21_12 ),
inference(resolution,[],[f879,f216]) ).
fof(f1317,plain,
( ~ ssList(sK6)
| spl21_12
| ~ spl21_15 ),
inference(forward_subsumption_resolution,[],[f1306,f985]) ).
fof(f1318,plain,
( $false
| ~ spl21_8
| spl21_12
| ~ spl21_15 ),
inference(forward_subsumption_resolution,[],[f1317,f571]) ).
fof(f1319,plain,
( ~ spl21_8
| spl21_12
| ~ spl21_15 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1323,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl21_3 ),
inference(resolution,[],[f360,f205]) ).
fof(f1344,plain,
( ~ ssList(nil)
| spl21_3
| ~ spl21_6 ),
inference(forward_subsumption_resolution,[],[f1323,f430]) ).
fof(f1345,plain,
( $false
| spl21_3
| ~ spl21_6 ),
inference(forward_subsumption_resolution,[],[f1344,f221]) ).
fof(f1346,plain,
( spl21_3
| ~ spl21_6 ),
inference(avatar_contradiction_clause,[],[f1345]) ).
fof(f1365,plain,
( sK2 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(sK7)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| ~ spl21_4 ),
inference(superposition,[],[f364,f210]) ).
fof(f1417,plain,
( sK2 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| ~ spl21_4
| ~ spl21_9 ),
inference(forward_subsumption_resolution,[],[f1365,f666]) ).
fof(f1428,plain,
( sK2 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(sK6)
| ~ spl21_4
| ~ spl21_9
| ~ spl21_15 ),
inference(forward_subsumption_resolution,[],[f1417,f985]) ).
fof(f1431,plain,
( sK2 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8))
| ~ spl21_4
| ~ spl21_8
| ~ spl21_9
| ~ spl21_15 ),
inference(forward_subsumption_resolution,[],[f1428,f571]) ).
fof(f1723,definition,
( spl21_21
<=> lt(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl21_21])],[avatar_definition]) ).
fof(f1725,plain,
( ~ lt(sK4,sK5)
| spl21_21 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1726,plain,
( ~ spl21_21
| ~ spl21_5
| ~ spl21_6
| ~ spl21_10 ),
inference(avatar_split_clause,[],[f779,f759,f428,f382,f1723]) ).
fof(f1837,definition,
( spl21_24
<=> sK2 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl21_24])],[avatar_definition]) ).
fof(f1839,plain,
( sK2 = app(app(sK6,app(cons(sK4,nil),sK7)),app(cons(sK5,nil),sK8))
| ~ spl21_24 ),
inference(avatar_component_clause,[],[f1837]) ).
fof(f1840,plain,
( spl21_24
| ~ spl21_4
| ~ spl21_8
| ~ spl21_9
| ~ spl21_15 ),
inference(avatar_split_clause,[],[f1431,f984,f664,f569,f362,f1837]) ).
fof(f1841,plain,
( sK2 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ ssItem(sK4)
| ~ ssList(sK7)
| ~ spl21_24 ),
inference(superposition,[],[f1839,f211]) ).
fof(f1888,plain,
( sK2 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(sK7)
| ~ spl21_5
| ~ spl21_24 ),
inference(forward_subsumption_resolution,[],[f1841,f384]) ).
fof(f1893,plain,
( sK2 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ spl21_5
| ~ spl21_9
| ~ spl21_24 ),
inference(forward_subsumption_resolution,[],[f1888,f666]) ).
fof(f1895,definition,
( spl21_25
<=> sK2 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl21_25])],[avatar_definition]) ).
fof(f1897,plain,
( sK2 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1898,plain,
( spl21_25
| ~ spl21_5
| ~ spl21_9
| ~ spl21_24 ),
inference(avatar_split_clause,[],[f1893,f1837,f664,f382,f1895]) ).
fof(f1909,plain,
( sK2 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ ssItem(sK5)
| ~ ssList(sK8)
| ~ spl21_25 ),
inference(superposition,[],[f1897,f211]) ).
fof(f1937,plain,
( sK2 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ ssList(sK8)
| ~ spl21_6
| ~ spl21_25 ),
inference(forward_subsumption_resolution,[],[f1909,f430]) ).
fof(f1940,plain,
( sK2 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ spl21_6
| ~ spl21_7
| ~ spl21_25 ),
inference(forward_subsumption_resolution,[],[f1937,f476]) ).
fof(f1942,definition,
( spl21_26
<=> sK2 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8)) ),
introduced(definition,[new_symbols(definition,[spl21_26])],[avatar_definition]) ).
fof(f1944,plain,
( sK2 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f1942]) ).
fof(f1945,plain,
( spl21_26
| ~ spl21_6
| ~ spl21_7
| ~ spl21_25 ),
inference(avatar_split_clause,[],[f1940,f1895,f474,f428,f1942]) ).
fof(f1947,plain,
( ~ ssList(sK2)
| lt(sK4,sK5)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| ~ strictorderedP(sK2)
| ~ spl21_26 ),
inference(superposition,[],[f284,f1944]) ).
fof(f1977,plain,
( lt(sK4,sK5)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| ~ strictorderedP(sK2)
| ~ spl21_13
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f1947,f884]) ).
fof(f1982,plain,
( ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| ~ strictorderedP(sK2)
| ~ spl21_13
| spl21_21
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f1977,f1725]) ).
fof(f1984,plain,
( ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| ~ strictorderedP(sK2)
| ~ spl21_7
| ~ spl21_13
| spl21_21
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f1982,f476]) ).
fof(f1986,plain,
( ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| ~ strictorderedP(sK2)
| ~ spl21_7
| ~ spl21_9
| ~ spl21_13
| spl21_21
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f1984,f666]) ).
fof(f1988,plain,
( ~ ssItem(sK5)
| ~ ssItem(sK4)
| ~ strictorderedP(sK2)
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13
| spl21_21
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f1986,f571]) ).
fof(f1990,plain,
( ~ ssItem(sK4)
| ~ strictorderedP(sK2)
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13
| spl21_21
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f1988,f430]) ).
fof(f1992,plain,
( ~ strictorderedP(sK2)
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13
| spl21_21
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f1990,f384]) ).
fof(f1995,plain,
( $false
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13
| ~ spl21_14
| spl21_21
| ~ spl21_26 ),
inference(forward_subsumption_resolution,[],[f1992,f980]) ).
fof(f1996,plain,
( ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13
| ~ spl21_14
| spl21_21
| ~ spl21_26 ),
inference(avatar_contradiction_clause,[],[f1995]) ).
cnf(s1,plain,
spl21_1,
inference(sat_conversion,[],[f294]) ).
cnf(s2,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| spl21_4 ),
inference(sat_conversion,[],[f365]) ).
cnf(s3,plain,
spl21_5,
inference(sat_conversion,[],[f385]) ).
cnf(s4,plain,
spl21_6,
inference(sat_conversion,[],[f431]) ).
cnf(s5,plain,
spl21_7,
inference(sat_conversion,[],[f477]) ).
cnf(s6,plain,
spl21_8,
inference(sat_conversion,[],[f572]) ).
cnf(s7,plain,
spl21_9,
inference(sat_conversion,[],[f667]) ).
cnf(s8,plain,
spl21_10,
inference(sat_conversion,[],[f762]) ).
cnf(s10,plain,
( spl21_2
| ~ spl21_12 ),
inference(sat_conversion,[],[f880]) ).
cnf(s11,plain,
spl21_13,
inference(sat_conversion,[],[f885]) ).
cnf(s12,plain,
spl21_14,
inference(sat_conversion,[],[f981]) ).
cnf(s14,plain,
( ~ spl21_5
| spl21_15 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s18,plain,
( ~ spl21_8
| spl21_12
| ~ spl21_15 ),
inference(sat_conversion,[],[f1319]) ).
cnf(s19,plain,
( spl21_3
| ~ spl21_6 ),
inference(sat_conversion,[],[f1346]) ).
cnf(s21,plain,
( ~ spl21_5
| ~ spl21_6
| ~ spl21_10
| ~ spl21_21 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s24,plain,
( ~ spl21_4
| ~ spl21_8
| ~ spl21_9
| ~ spl21_15
| spl21_24 ),
inference(sat_conversion,[],[f1840]) ).
cnf(s25,plain,
( ~ spl21_5
| ~ spl21_9
| ~ spl21_24
| spl21_25 ),
inference(sat_conversion,[],[f1898]) ).
cnf(s26,plain,
( ~ spl21_6
| ~ spl21_7
| ~ spl21_25
| spl21_26 ),
inference(sat_conversion,[],[f1945]) ).
cnf(s28,plain,
( ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13
| ~ spl21_14
| spl21_21
| ~ spl21_26 ),
inference(sat_conversion,[],[f1996]) ).
cnf(s31,plain,
spl21_3,
inference(rat,[],[s19,s4]) ).
cnf(s32,plain,
~ spl21_21,
inference(rat,[],[s21,s4,s8,s3]) ).
cnf(s33,plain,
spl21_15,
inference(rat,[],[s14,s3]) ).
cnf(s34,plain,
~ spl21_26,
inference(rat,[],[s28,s3,s4,s12,s11,s7,s6,s5,s32]) ).
cnf(s35,plain,
spl21_12,
inference(rat,[],[s18,s6,s33]) ).
cnf(s36,plain,
~ spl21_25,
inference(rat,[],[s26,s4,s5,s34]) ).
cnf(s37,plain,
spl21_2,
inference(rat,[],[s10,s35]) ).
cnf(s38,plain,
~ spl21_24,
inference(rat,[],[s25,s3,s7,s36]) ).
cnf(s39,plain,
~ spl21_4,
inference(rat,[],[s24,s33,s6,s7,s38]) ).
cnf(s40,plain,
~ spl21_1,
inference(rat,[],[s2,s39,s31,s37]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s1,s40]) ).
fof(f1997,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC305+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:01:39 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 6.83/1.87 % (3239067)Detected formulas, will run a generic FOF schedule.
% 6.83/1.87 % (3239072)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=3145073092:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.83/1.87 % (3239074)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=776552873:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.83/1.87 % (3239077)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3156184909:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.83/1.87 % (3239073)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=2836798866:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.83/1.87 % (3239075)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3595308895:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.83/1.87 % (3239076)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3086388417:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.83/1.87 % (3239078)dis-21_1_sil=8000:lcm=predicate:random_seed=3266598145: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)
% 6.83/1.87 % (3239076)Instruction limit reached!
% 6.83/1.87 % (3239076)------------------------------
% 6.83/1.87 % (3239076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239076)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239076)Termination reason: Instruction limit
% 6.83/1.87 % (3239076)Termination phase: Saturation
% 6.83/1.87 % (3239076)Time elapsed: 0.071 s
% 6.83/1.87 % (3239076)Peak memory usage: 88 MB
% 6.83/1.87 % (3239076)Instructions burned: 119 (million)
% 6.83/1.87 % (3239075)Instruction limit reached!
% 6.83/1.87 % (3239075)------------------------------
% 6.83/1.87 % (3239075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239075)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239075)Termination reason: Instruction limit
% 6.83/1.87 % (3239075)Termination phase: Saturation
% 6.83/1.87 % (3239075)Time elapsed: 0.072 s
% 6.83/1.87 % (3239075)Peak memory usage: 90 MB
% 6.83/1.87 % (3239075)Instructions burned: 110 (million)
% 6.83/1.87 % (3239078)Instruction limit reached!
% 6.83/1.87 % (3239078)------------------------------
% 6.83/1.87 % (3239078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239078)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239078)Termination reason: Instruction limit
% 6.83/1.87 % (3239078)Termination phase: Saturation
% 6.83/1.87 % (3239078)Time elapsed: 0.074 s
% 6.83/1.87 % (3239078)Peak memory usage: 90 MB
% 6.83/1.87 % (3239078)Instructions burned: 131 (million)
% 6.83/1.87 % (3239077)Instruction limit reached!
% 6.83/1.87 % (3239077)------------------------------
% 6.83/1.87 % (3239077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239077)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239077)Termination reason: Instruction limit
% 6.83/1.87 % (3239077)Termination phase: Saturation
% 6.83/1.87 % (3239077)Time elapsed: 0.092 s
% 6.83/1.87 % (3239077)Peak memory usage: 90 MB
% 6.83/1.87 % (3239077)Instructions burned: 139 (million)
% 6.83/1.87 % (3239086)lrs+10_1_sil=8000:sp=occurrence:random_seed=3708097580:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.83/1.87 % (3239088)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1317744530:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.83/1.87 % (3239087)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2396545354:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.83/1.87 % (3239089)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=2079339390:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.83/1.87 % (3239087)Instruction limit reached!
% 6.83/1.87 % (3239087)------------------------------
% 6.83/1.87 % (3239087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239087)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239087)Termination reason: Instruction limit
% 6.83/1.87 % (3239087)Termination phase: Saturation
% 6.83/1.87 % (3239087)Time elapsed: 0.081 s
% 6.83/1.87 % (3239087)Peak memory usage: 95 MB
% 6.83/1.87 % (3239087)Instructions burned: 158 (million)
% 6.83/1.87 % (3239089)Instruction limit reached!
% 6.83/1.87 % (3239089)------------------------------
% 6.83/1.87 % (3239089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239089)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239089)Termination reason: Instruction limit
% 6.83/1.87 % (3239089)Termination phase: Saturation
% 6.83/1.87 % (3239089)Time elapsed: 0.113 s
% 6.83/1.87 % (3239089)Peak memory usage: 93 MB
% 6.83/1.87 % (3239089)Instructions burned: 249 (million)
% 6.83/1.87 % (3239086)Instruction limit reached!
% 6.83/1.87 % (3239086)------------------------------
% 6.83/1.87 % (3239086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239086)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239086)Termination reason: Instruction limit
% 6.83/1.87 % (3239086)Termination phase: Saturation
% 6.83/1.87 % (3239086)Time elapsed: 0.162 s
% 6.83/1.87 % (3239086)Peak memory usage: 93 MB
% 6.83/1.87 % (3239086)Instructions burned: 287 (million)
% 6.83/1.87 % (3239088)Instruction limit reached!
% 6.83/1.87 % (3239088)------------------------------
% 6.83/1.87 % (3239088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239088)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239088)Termination reason: Instruction limit
% 6.83/1.87 % (3239088)Termination phase: Saturation
% 6.83/1.87 % (3239088)Time elapsed: 0.199 s
% 6.83/1.87 % (3239088)Peak memory usage: 92 MB
% 6.83/1.87 % (3239088)Instructions burned: 326 (million)
% 6.83/1.87 % (3239094)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3533131685:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.83/1.87 % (3239095)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=437842784:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.83/1.87 % (3239096)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=368528364:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.83/1.87 % (3239097)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2861506765:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.83/1.87 % (3239096)Instruction limit reached!
% 6.83/1.87 % (3239096)------------------------------
% 6.83/1.87 % (3239096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239096)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239096)Termination reason: Instruction limit
% 6.83/1.87 % (3239096)Termination phase: Saturation
% 6.83/1.87 % (3239096)Time elapsed: 0.071 s
% 6.83/1.87 % (3239096)Peak memory usage: 90 MB
% 6.83/1.87 % (3239096)Instructions burned: 114 (million)
% 6.83/1.87 % (3239097)Instruction limit reached!
% 6.83/1.87 % (3239097)------------------------------
% 6.83/1.87 % (3239097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239097)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239097)Termination reason: Instruction limit
% 6.83/1.87 % (3239097)Termination phase: Saturation
% 6.83/1.87 % (3239097)Time elapsed: 0.064 s
% 6.83/1.87 % (3239097)Peak memory usage: 90 MB
% 6.83/1.87 % (3239097)Instructions burned: 129 (million)
% 6.83/1.87 % (3239094)Instruction limit reached!
% 6.83/1.87 % (3239094)------------------------------
% 6.83/1.87 % (3239094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239094)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239094)Termination reason: Instruction limit
% 6.83/1.87 % (3239094)Termination phase: Saturation
% 6.83/1.87 % (3239094)Time elapsed: 0.176 s
% 6.83/1.87 % (3239094)Peak memory usage: 90 MB
% 6.83/1.87 % (3239094)Instructions burned: 295 (million)
% 6.83/1.87 % (3239102)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=121428880:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.83/1.87 % (3239104)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2162836911:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.83/1.87 % (3239103)lrs+10_1_sil=8000:sp=occurrence:random_seed=1776198421:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.83/1.87 % (3239102)Instruction limit reached!
% 6.83/1.87 % (3239102)------------------------------
% 6.83/1.87 % (3239102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.87 % (3239102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.87 % (3239102)CaDiCaL version: 2.1.3
% 6.83/1.87 % (3239102)Termination reason: Instruction limit
% 6.83/1.87 % (3239102)Termination phase: Saturation
% 6.83/1.87 % (3239102)Time elapsed: 0.065 s
% 6.83/1.87 % (3239102)Peak memory usage: 89 MB
% 6.83/1.87 % (3239102)Instructions burned: 115 (million)
% 6.83/1.87 % (3239074)First to succeed.
% 6.83/1.87 % (3239074)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3239067"
% 6.83/1.87 % (3239108)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2770660885:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.83/1.87 % (3239104)Also succeeded, but the first one will report.
% 6.83/1.87 % (3239074)Refutation found. Thanks to Tanya!
% 6.83/1.87 % SZS status Theorem for theBenchmark
% 6.83/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 9.25/2.06 % (3239074)------------------------------
% 9.25/2.06 % (3239074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.25/2.06 % (3239074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.25/2.06 % (3239074)CaDiCaL version: 2.1.3
% 9.25/2.06 % (3239074)Termination reason: Refutation
% 9.25/2.06 % (3239074)Time elapsed: 0.828 s
% 9.25/2.06 % (3239074)Peak memory usage: 134 MB
% 9.25/2.06 % (3239074)Instructions burned: 1307 (million)
% 9.25/2.06 % (3239074)------------------------------
% 9.25/2.06 % (3239074)------------------------------
% 9.25/2.06 % (3239067)Success in time 1.223 s
% 9.25/2.06 % Vampire exiting
%------------------------------------------------------------------------------