%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC191+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 : n011.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 01:02:52 PM UTC 2026
% Result : Theorem 8.72s 2.09s
% Output : Refutation 9.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 129 ( 28 unt; 10 def)
% Number of atoms : 492 ( 91 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 615 ( 252 ~; 247 |; 68 &)
% ( 13 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn 100 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
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(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
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)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(X4) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X0
| X5 = X6 ) ) ) ) ) ) ) ) ) ),
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)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(X4) )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) != X0
| X5 = X6 ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(X4) )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X0
& X5 != X6
& 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)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(X4) )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X0
& X5 != X6
& 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(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f111]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f142,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f143,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
( sK1 = sK3
& sK0 = sK2
& frontsegP(sK3,sK2)
& equalelemsP(sK2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK2,X4)
| ~ frontsegP(sK3,X4)
| ~ segmentP(X4,sK2)
| ~ equalelemsP(X4) )
& sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7)
& sK4 != sK5
& 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]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X5,sK4),skolemize(X6,sK5),skolemize(X7,sK6),skolemize(X8,sK7)],[f99]) ).
fof(f161,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ equalelemsP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f143]) ).
fof(f162,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ equalelemsP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f161]) ).
fof(f163,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ( sK15(X0) != sK16(X0)
& app(sK17(X0),cons(sK15(X0),cons(sK16(X0),sK18(X0)))) = X0
& ssList(sK18(X0))
& ssList(sK17(X0))
& ssItem(sK16(X0))
& ssItem(sK15(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ equalelemsP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X3,sK17(X0)),skolemize(X4,sK18(X0))],[f162]) ).
fof(f164,plain,
ssList(sK0),
inference(cnf_transformation,[],[f144]) ).
fof(f168,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f144]) ).
fof(f169,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f144]) ).
fof(f170,plain,
ssList(sK6),
inference(cnf_transformation,[],[f144]) ).
fof(f171,plain,
ssList(sK7),
inference(cnf_transformation,[],[f144]) ).
fof(f172,plain,
sK4 != sK5,
inference(cnf_transformation,[],[f144]) ).
fof(f173,plain,
sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7),
inference(cnf_transformation,[],[f144]) ).
fof(f175,plain,
equalelemsP(sK2),
inference(cnf_transformation,[],[f144]) ).
fof(f177,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f144]) ).
fof(f189,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f194,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(f195,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f196,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f200,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f232,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f248,plain,
! [X8,X6,X7,X5] :
( ~ equalelemsP(app(X7,cons(X5,cons(X6,X8))))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| X5 = X6
| ~ ssList(app(X7,cons(X5,cons(X6,X8)))) ),
inference(equality_resolution,[],[f232]) ).
fof(f264,plain,
equalelemsP(sK0),
inference(superposition,[],[f175,f177]) ).
fof(f272,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(superposition,[],[f173,f194]) ).
fof(f302,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(forward_subsumption_resolution,[],[f272,f171]) ).
fof(f305,definition,
( spl19_3
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f306,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl19_3 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f308,definition,
( spl19_4
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition]) ).
fof(f309,plain,
( ~ ssList(cons(sK5,nil))
| spl19_4 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f311,definition,
( spl19_5
<=> sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f312,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f360,plain,
( ~ spl19_3
| ~ spl19_4
| spl19_5 ),
inference(avatar_split_clause,[],[f302,f311,f308,f305]) ).
fof(f362,definition,
( spl19_17
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl19_17])],[avatar_definition]) ).
fof(f363,plain,
( ~ ssList(cons(sK4,nil))
| spl19_17 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f404,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl19_4 ),
inference(resolution,[],[f309,f189]) ).
fof(f405,plain,
( ~ ssList(nil)
| spl19_4 ),
inference(forward_subsumption_resolution,[],[f404,f169]) ).
fof(f406,plain,
( $false
| spl19_4 ),
inference(forward_subsumption_resolution,[],[f405,f205]) ).
fof(f407,plain,
spl19_4,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f408,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl19_17 ),
inference(resolution,[],[f363,f189]) ).
fof(f409,plain,
( ~ ssList(nil)
| spl19_17 ),
inference(forward_subsumption_resolution,[],[f408,f168]) ).
fof(f410,plain,
( $false
| spl19_17 ),
inference(forward_subsumption_resolution,[],[f409,f205]) ).
fof(f411,plain,
spl19_17,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f412,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl19_3 ),
inference(resolution,[],[f306,f200]) ).
fof(f413,plain,
( ~ ssList(cons(sK4,nil))
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f412,f170]) ).
fof(f414,plain,
( ~ spl19_17
| spl19_3 ),
inference(avatar_split_clause,[],[f413,f305,f362]) ).
fof(f499,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),cons(sK5,sK7))
| ~ ssItem(sK5)
| ~ ssList(sK7)
| ~ spl19_5 ),
inference(superposition,[],[f312,f195]) ).
fof(f501,plain,
( sK0 = app(sK6,app(cons(sK4,nil),app(cons(sK5,nil),sK7)))
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| ~ spl19_5 ),
inference(superposition,[],[f312,f194]) ).
fof(f505,plain,
( ! [X0] :
( sK0 != app(app(sK6,cons(sK4,nil)),X0)
| app(cons(sK5,nil),sK7) = X0
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ ssList(X0) )
| ~ spl19_5 ),
inference(superposition,[],[f196,f312]) ).
fof(f521,definition,
( spl19_34
<=> ssList(app(cons(sK5,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl19_34])],[avatar_definition]) ).
fof(f522,plain,
( ~ ssList(app(cons(sK5,nil),sK7))
| spl19_34 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f542,definition,
( spl19_39
<=> ! [X0] :
( sK0 != app(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(X0)
| app(cons(sK5,nil),sK7) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl19_39])],[avatar_definition]) ).
fof(f543,plain,
( ! [X0] :
( sK0 != app(app(sK6,cons(sK4,nil)),X0)
| ~ ssList(X0)
| app(cons(sK5,nil),sK7) = X0 )
| ~ spl19_39 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f545,plain,
( ~ spl19_3
| ~ spl19_34
| spl19_39
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f505,f311,f542,f521,f305]) ).
fof(f550,plain,
( sK0 = app(sK6,app(cons(sK4,nil),app(cons(sK5,nil),sK7)))
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK4,nil))
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f501,f170]) ).
fof(f552,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),cons(sK5,sK7))
| ~ ssList(sK7)
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f499,f169]) ).
fof(f554,definition,
( spl19_41
<=> sK0 = app(sK6,app(cons(sK4,nil),app(cons(sK5,nil),sK7))) ),
introduced(definition,[new_symbols(definition,[spl19_41])],[avatar_definition]) ).
fof(f555,plain,
( sK0 = app(sK6,app(cons(sK4,nil),app(cons(sK5,nil),sK7)))
| ~ spl19_41 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f566,plain,
( ~ spl19_17
| ~ spl19_34
| spl19_41
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f550,f311,f554,f521,f362]) ).
fof(f568,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),cons(sK5,sK7))
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f552,f171]) ).
fof(f859,plain,
( ~ ssList(cons(sK5,sK7))
| ~ ssItem(sK5)
| ~ ssList(sK7)
| spl19_34 ),
inference(superposition,[],[f522,f195]) ).
fof(f862,plain,
( ~ ssItem(sK5)
| ~ ssList(sK7)
| spl19_34 ),
inference(forward_subsumption_resolution,[],[f859,f189]) ).
fof(f865,plain,
( ~ ssList(sK7)
| spl19_34 ),
inference(forward_subsumption_resolution,[],[f862,f169]) ).
fof(f868,plain,
( $false
| spl19_34 ),
inference(forward_subsumption_resolution,[],[f865,f171]) ).
fof(f869,plain,
spl19_34,
inference(avatar_contradiction_clause,[],[f868]) ).
fof(f1742,definition,
( spl19_157
<=> ssList(cons(sK5,sK7)) ),
introduced(definition,[new_symbols(definition,[spl19_157])],[avatar_definition]) ).
fof(f1743,plain,
( ~ ssList(cons(sK5,sK7))
| spl19_157 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1850,plain,
( ~ ssItem(sK5)
| ~ ssList(sK7)
| spl19_157 ),
inference(resolution,[],[f1743,f189]) ).
fof(f1851,plain,
( ~ ssList(sK7)
| spl19_157 ),
inference(forward_subsumption_resolution,[],[f1850,f169]) ).
fof(f1852,plain,
( $false
| spl19_157 ),
inference(forward_subsumption_resolution,[],[f1851,f171]) ).
fof(f1853,plain,
spl19_157,
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1898,plain,
( sK0 = app(sK6,cons(sK4,app(cons(sK5,nil),sK7)))
| ~ ssItem(sK4)
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ spl19_41 ),
inference(superposition,[],[f555,f195]) ).
fof(f1923,plain,
( sK0 = app(sK6,cons(sK4,app(cons(sK5,nil),sK7)))
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ spl19_41 ),
inference(forward_subsumption_resolution,[],[f1898,f168]) ).
fof(f1958,definition,
( spl19_182
<=> sK0 = app(sK6,cons(sK4,app(cons(sK5,nil),sK7))) ),
introduced(definition,[new_symbols(definition,[spl19_182])],[avatar_definition]) ).
fof(f1959,plain,
( sK0 = app(sK6,cons(sK4,app(cons(sK5,nil),sK7)))
| ~ spl19_182 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f1960,plain,
( ~ spl19_34
| spl19_182
| ~ spl19_41 ),
inference(avatar_split_clause,[],[f1923,f554,f1958,f521]) ).
fof(f2559,plain,
( sK0 != sK0
| ~ ssList(cons(sK5,sK7))
| app(cons(sK5,nil),sK7) = cons(sK5,sK7)
| ~ spl19_5
| ~ spl19_39 ),
inference(superposition,[],[f543,f568]) ).
fof(f2564,plain,
( ~ ssList(cons(sK5,sK7))
| app(cons(sK5,nil),sK7) = cons(sK5,sK7)
| ~ spl19_5
| ~ spl19_39 ),
inference(trivial_inequality_removal,[],[f2559]) ).
fof(f2573,definition,
( spl19_237
<=> app(cons(sK5,nil),sK7) = cons(sK5,sK7) ),
introduced(definition,[new_symbols(definition,[spl19_237])],[avatar_definition]) ).
fof(f2574,plain,
( app(cons(sK5,nil),sK7) = cons(sK5,sK7)
| ~ spl19_237 ),
inference(avatar_component_clause,[],[f2573]) ).
fof(f2575,plain,
( spl19_237
| ~ spl19_157
| ~ spl19_5
| ~ spl19_39 ),
inference(avatar_split_clause,[],[f2564,f542,f311,f1742,f2573]) ).
fof(f5804,plain,
( sK0 = app(sK6,cons(sK4,cons(sK5,sK7)))
| ~ spl19_182
| ~ spl19_237 ),
inference(forward_demodulation,[],[f1959,f2574]) ).
fof(f6456,plain,
( ~ equalelemsP(sK0)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| sK4 = sK5
| ~ ssList(sK0)
| ~ spl19_182
| ~ spl19_237 ),
inference(superposition,[],[f248,f5804]) ).
fof(f6485,plain,
( ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| sK4 = sK5
| ~ ssList(sK0)
| ~ spl19_182
| ~ spl19_237 ),
inference(forward_subsumption_resolution,[],[f6456,f264]) ).
fof(f6502,plain,
( ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| sK4 = sK5
| ~ ssList(sK0)
| ~ spl19_182
| ~ spl19_237 ),
inference(forward_subsumption_resolution,[],[f6485,f171]) ).
fof(f6503,plain,
( ~ ssItem(sK5)
| ~ ssItem(sK4)
| sK4 = sK5
| ~ ssList(sK0)
| ~ spl19_182
| ~ spl19_237 ),
inference(forward_subsumption_resolution,[],[f6502,f170]) ).
fof(f6504,plain,
( ~ ssItem(sK4)
| sK4 = sK5
| ~ ssList(sK0)
| ~ spl19_182
| ~ spl19_237 ),
inference(forward_subsumption_resolution,[],[f6503,f169]) ).
fof(f6505,plain,
( sK4 = sK5
| ~ ssList(sK0)
| ~ spl19_182
| ~ spl19_237 ),
inference(forward_subsumption_resolution,[],[f6504,f168]) ).
fof(f6506,plain,
( ~ ssList(sK0)
| ~ spl19_182
| ~ spl19_237 ),
inference(forward_subsumption_resolution,[],[f6505,f172]) ).
fof(f6507,plain,
( $false
| ~ spl19_182
| ~ spl19_237 ),
inference(forward_subsumption_resolution,[],[f6506,f164]) ).
fof(f6508,plain,
( ~ spl19_182
| ~ spl19_237 ),
inference(avatar_contradiction_clause,[],[f6507]) ).
cnf(s14,plain,
( ~ spl19_3
| ~ spl19_4
| spl19_5 ),
inference(sat_conversion,[],[f360]) ).
cnf(s20,plain,
spl19_4,
inference(sat_conversion,[],[f407]) ).
cnf(s21,plain,
spl19_17,
inference(sat_conversion,[],[f411]) ).
cnf(s22,plain,
( spl19_3
| ~ spl19_17 ),
inference(sat_conversion,[],[f414]) ).
cnf(s38,plain,
( ~ spl19_3
| ~ spl19_5
| ~ spl19_34
| spl19_39 ),
inference(sat_conversion,[],[f545]) ).
cnf(s43,plain,
( ~ spl19_5
| ~ spl19_17
| ~ spl19_34
| spl19_41 ),
inference(sat_conversion,[],[f566]) ).
cnf(s83,plain,
spl19_34,
inference(sat_conversion,[],[f869]) ).
cnf(s221,plain,
spl19_157,
inference(sat_conversion,[],[f1853]) ).
cnf(s236,plain,
( ~ spl19_34
| ~ spl19_41
| spl19_182 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s332,plain,
( ~ spl19_5
| ~ spl19_39
| ~ spl19_157
| spl19_237 ),
inference(sat_conversion,[],[f2575]) ).
cnf(s789,plain,
( ~ spl19_182
| ~ spl19_237 ),
inference(sat_conversion,[],[f6508]) ).
cnf(s845,plain,
( ~ spl19_5
| ~ spl19_17
| spl19_41 ),
inference(rat,[],[s43,s83]) ).
cnf(s850,plain,
( ~ spl19_3
| ~ spl19_5
| spl19_39 ),
inference(rat,[],[s38,s83]) ).
cnf(s860,plain,
spl19_3,
inference(rat,[],[s22,s21]) ).
cnf(s936,plain,
spl19_5,
inference(rat,[],[s14,s20,s860]) ).
cnf(s951,plain,
spl19_41,
inference(rat,[],[s845,s21,s936]) ).
cnf(s955,plain,
spl19_39,
inference(rat,[],[s850,s860,s936]) ).
cnf(s962,plain,
spl19_182,
inference(rat,[],[s236,s83,s951]) ).
cnf(s982,plain,
spl19_237,
inference(rat,[],[s332,s936,s221,s955]) ).
cnf(s993,plain,
$false,
inference(rat,[],[s789,s982,s962]) ).
fof(f6509,plain,
$false,
inference(avatar_sat_refutation,[],[s993]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC191+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 08:22:37 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 8.72/2.09 % (3247074)Detected formulas, will run a generic FOF schedule.
% 8.72/2.09 % (3247084)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2172635396:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.72/2.09 % (3247081)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=1650889491:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.72/2.09 % (3247079)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=3373640816:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.72/2.09 % (3247082)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2538573626:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.72/2.09 % (3247080)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=448672964:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.72/2.09 % (3247083)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1740123523:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.72/2.09 % (3247085)dis-21_1_sil=8000:lcm=predicate:random_seed=473319511: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)
% 8.72/2.09 % (3247084)Instruction limit reached!
% 8.72/2.09 % (3247084)------------------------------
% 8.72/2.09 % (3247084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247084)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247084)Termination reason: Instruction limit
% 8.72/2.09 % (3247084)Termination phase: Saturation
% 8.72/2.09 % (3247084)Time elapsed: 0.050 s
% 8.72/2.09 % (3247084)Peak memory usage: 90 MB
% 8.72/2.09 % (3247084)Instructions burned: 139 (million)
% 8.72/2.09 % (3247082)Instruction limit reached!
% 8.72/2.09 % (3247082)------------------------------
% 8.72/2.09 % (3247082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247082)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247082)Termination reason: Instruction limit
% 8.72/2.09 % (3247082)Termination phase: Saturation
% 8.72/2.09 % (3247082)Time elapsed: 0.073 s
% 8.72/2.09 % (3247082)Peak memory usage: 89 MB
% 8.72/2.09 % (3247082)Instructions burned: 110 (million)
% 8.72/2.09 % (3247083)Instruction limit reached!
% 8.72/2.09 % (3247083)------------------------------
% 8.72/2.09 % (3247083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247083)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247083)Termination reason: Instruction limit
% 8.72/2.09 % (3247083)Termination phase: Saturation
% 8.72/2.09 % (3247083)Time elapsed: 0.074 s
% 8.72/2.09 % (3247083)Peak memory usage: 89 MB
% 8.72/2.09 % (3247083)Instructions burned: 120 (million)
% 8.72/2.09 % (3247085)Instruction limit reached!
% 8.72/2.09 % (3247085)------------------------------
% 8.72/2.09 % (3247085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247085)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247085)Termination reason: Instruction limit
% 8.72/2.09 % (3247085)Termination phase: Saturation
% 8.72/2.09 % (3247085)Time elapsed: 0.077 s
% 8.72/2.09 % (3247085)Peak memory usage: 90 MB
% 8.72/2.09 % (3247085)Instructions burned: 130 (million)
% 8.72/2.09 % (3247093)lrs+10_1_sil=8000:sp=occurrence:random_seed=2227866257:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.72/2.09 % (3247093)Instruction limit reached!
% 8.72/2.09 % (3247093)------------------------------
% 8.72/2.09 % (3247093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247093)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247093)Termination reason: Instruction limit
% 8.72/2.09 % (3247093)Termination phase: Saturation
% 8.72/2.09 % (3247093)Time elapsed: 0.093 s
% 8.72/2.09 % (3247093)Peak memory usage: 92 MB
% 8.72/2.09 % (3247093)Instructions burned: 285 (million)
% 8.72/2.09 % (3247095)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1210403893:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.72/2.09 % (3247094)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4214213355:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.72/2.09 % (3247096)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=971736164:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.72/2.09 % (3247094)Instruction limit reached!
% 8.72/2.09 % (3247094)------------------------------
% 8.72/2.09 % (3247094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247094)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247094)Termination reason: Instruction limit
% 8.72/2.09 % (3247094)Termination phase: Saturation
% 8.72/2.09 % (3247094)Time elapsed: 0.079 s
% 8.72/2.09 % (3247094)Peak memory usage: 93 MB
% 8.72/2.09 % (3247094)Instructions burned: 159 (million)
% 8.72/2.09 % (3247098)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2412439015:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.72/2.09 % (3247096)Instruction limit reached!
% 8.72/2.09 % (3247096)------------------------------
% 8.72/2.09 % (3247096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247096)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247096)Termination reason: Instruction limit
% 8.72/2.09 % (3247096)Termination phase: Saturation
% 8.72/2.09 % (3247096)Time elapsed: 0.118 s
% 8.72/2.09 % (3247096)Peak memory usage: 93 MB
% 8.72/2.09 % (3247096)Instructions burned: 249 (million)
% 8.72/2.09 % (3247098)Instruction limit reached!
% 8.72/2.09 % (3247098)------------------------------
% 8.72/2.09 % (3247098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247098)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247098)Termination reason: Instruction limit
% 8.72/2.09 % (3247098)Termination phase: Saturation
% 8.72/2.09 % (3247098)Time elapsed: 0.094 s
% 8.72/2.09 % (3247098)Peak memory usage: 90 MB
% 8.72/2.09 % (3247098)Instructions burned: 294 (million)
% 8.72/2.09 % (3247095)Instruction limit reached!
% 8.72/2.09 % (3247095)------------------------------
% 8.72/2.09 % (3247095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247095)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247095)Termination reason: Instruction limit
% 8.72/2.09 % (3247095)Termination phase: Saturation
% 8.72/2.09 % (3247095)Time elapsed: 0.203 s
% 8.72/2.09 % (3247095)Peak memory usage: 92 MB
% 8.72/2.09 % (3247095)Instructions burned: 326 (million)
% 8.72/2.09 % (3247102)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4169701335:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.72/2.09 % (3247104)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4202034354:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 8.72/2.09 % (3247105)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2234272646:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.72/2.09 % (3247105)Instruction limit reached!
% 8.72/2.09 % (3247105)------------------------------
% 8.72/2.09 % (3247105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247105)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247105)Termination reason: Instruction limit
% 8.72/2.09 % (3247105)Termination phase: Saturation
% 8.72/2.09 % (3247105)Time elapsed: 0.035 s
% 8.72/2.09 % (3247105)Peak memory usage: 90 MB
% 8.72/2.09 % (3247105)Instructions burned: 131 (million)
% 8.72/2.09 % (3247104)Instruction limit reached!
% 8.72/2.09 % (3247104)------------------------------
% 8.72/2.09 % (3247104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247104)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247104)Termination reason: Instruction limit
% 8.72/2.09 % (3247104)Termination phase: Saturation
% 8.72/2.09 % (3247104)Time elapsed: 0.074 s
% 8.72/2.09 % (3247104)Peak memory usage: 90 MB
% 8.72/2.09 % (3247104)Instructions burned: 114 (million)
% 8.72/2.09 % (3247107)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2384451130:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.72/2.09 % (3247107)Instruction limit reached!
% 8.72/2.09 % (3247107)------------------------------
% 8.72/2.09 % (3247107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247107)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247107)Termination reason: Instruction limit
% 8.72/2.09 % (3247107)Termination phase: Saturation
% 8.72/2.09 % (3247107)Time elapsed: 0.067 s
% 8.72/2.09 % (3247107)Peak memory usage: 89 MB
% 8.72/2.09 % (3247107)Instructions burned: 114 (million)
% 8.72/2.09 % (3247110)lrs+10_1_sil=8000:sp=occurrence:random_seed=2304689729:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.72/2.09 % (3247112)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=692542880:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.72/2.09 % (3247113)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2441577107:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 8.72/2.09 % (3247112)First to succeed.
% 8.72/2.09 % (3247112)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3247074"
% 8.72/2.09 % (3247110)Instruction limit reached!
% 8.72/2.09 % (3247110)------------------------------
% 8.72/2.09 % (3247110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247110)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247110)Termination reason: Instruction limit
% 8.72/2.09 % (3247110)Termination phase: Saturation
% 8.72/2.09 % (3247110)Time elapsed: 0.289 s
% 8.72/2.09 % (3247110)Peak memory usage: 100 MB
% 8.72/2.09 % (3247110)Instructions burned: 907 (million)
% 8.72/2.09 % (3247117)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=219696290:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 8.72/2.09 % (3247117)Instruction limit reached!
% 8.72/2.09 % (3247117)------------------------------
% 8.72/2.09 % (3247117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.09 % (3247117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.09 % (3247117)CaDiCaL version: 2.1.3
% 8.72/2.09 % (3247117)Termination reason: Instruction limit
% 8.72/2.09 % (3247117)Termination phase: Saturation
% 8.72/2.09 % (3247117)Time elapsed: 0.034 s
% 8.72/2.09 % (3247117)Peak memory usage: 91 MB
% 8.72/2.09 % (3247117)Instructions burned: 137 (million)
% 8.72/2.09 % (3247112)Refutation found. Thanks to Tanya!
% 8.72/2.09 % SZS status Theorem for theBenchmark
% 8.72/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.34/2.29 % (3247112)------------------------------
% 9.34/2.29 % (3247112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.29 % (3247112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.29 % (3247112)CaDiCaL version: 2.1.3
% 9.34/2.29 % (3247112)Termination reason: Refutation
% 9.34/2.29 % (3247112)Time elapsed: 0.135 s
% 9.34/2.29 % (3247112)Peak memory usage: 92 MB
% 9.34/2.29 % (3247112)Instructions burned: 217 (million)
% 9.34/2.29 % (3247112)------------------------------
% 9.34/2.29 % (3247112)------------------------------
% 9.34/2.29 % (3247074)Success in time 1.244 s
% 9.34/2.29 % Vampire exiting
%------------------------------------------------------------------------------