%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC015-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 01:04:17 PM UTC 2026
% Result : Unsatisfiable 6.28s 2.21s
% Output : Refutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 45
% Syntax : Number of formulae : 225 ( 33 unt; 21 def)
% Number of atoms : 701 ( 123 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 911 ( 435 ~; 455 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 22 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause123) ).
fof(f144,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause133) ).
fof(f162,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).
fof(f163,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause151) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4)
| ~ ssList(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk4 = X0
| ~ ssList(X1)
| tl(sk4) != X1
| app(sk3,X1) != X0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,nil) != sk1
| app(cons(X0,nil),X1) != sk2
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,nil) != sk3
| app(cons(X0,nil),X1) != sk4
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f205,f204]) ).
fof(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(equality_resolution,[],[f193]) ).
fof(f245,plain,
! [X0] :
( ~ ssList(X0)
| sk4 = X0
| ~ ssList(tl(sk4))
| app(sk3,tl(sk4)) != X0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f246,plain,
( ~ ssList(app(sk3,tl(sk4)))
| sk4 = app(sk3,tl(sk4))
| ~ ssList(tl(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f245]) ).
fof(f283,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f284,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f290,plain,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f300,plain,
! [X0,X1] :
( cons(X0,X1) != X1
| ssItem(X0)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f314,plain,
! [X0,X1] :
( ~ ssList(X1)
| ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f358,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f366,plain,
! [X0,X1] :
( ssItem(X0)
| ~ ssList(X1)
| cons(X0,nil) != sk3
| app(cons(X0,nil),X1) != sk4
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f218]) ).
fof(f367,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f372,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f375,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f376,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f379,definition,
( spl0_2
<=> ! [X0,X1] :
( ssItem(X0)
| app(cons(X0,nil),X1) != sk4
| cons(X0,nil) != sk3
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f380,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| ssItem(X0)
| cons(X0,nil) != sk3
| ~ ssList(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f366,f379,f375]) ).
fof(f383,definition,
( spl0_3
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f385,plain,
( ~ neq(nil,sk4)
| spl0_3 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f387,definition,
( spl0_4
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f388,plain,
( ssList(tl(sk4))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( ~ ssList(tl(sk4))
| spl0_4 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f391,definition,
( spl0_5
<=> sk4 = app(sk3,tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f393,plain,
( sk4 = app(sk3,tl(sk4))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f395,definition,
( spl0_6
<=> ssList(app(sk3,tl(sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f397,plain,
( ~ ssList(app(sk3,tl(sk4)))
| spl0_6 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f398,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f246,f395,f391,f387,f383,f375]) ).
fof(f401,plain,
spl0_1,
inference(avatar_split_clause,[],[f367,f375]) ).
fof(f407,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f408,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f435,definition,
( spl0_14
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f436,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f438,definition,
( spl0_15
<=> ! [X0] :
( ~ ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f439,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f440,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f283,f438,f435]) ).
fof(f443,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f407]) ).
fof(f444,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| cons(X0,nil) != sk3
| ~ ssList(X1) )
| ~ spl0_2
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f380,f436]) ).
fof(f516,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f203]) ).
fof(f552,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_3 ),
inference(resolution,[],[f102,f385]) ).
fof(f555,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f552,f408]) ).
fof(f556,plain,
( nil = sk4
| spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f555,f203]) ).
fof(f559,plain,
( ~ neq(nil,nil)
| spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f385,f556]) ).
fof(f560,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f376,f556]) ).
fof(f567,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f560,f559]) ).
fof(f568,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f569,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_4 ),
inference(resolution,[],[f389,f75]) ).
fof(f570,plain,
( nil = sk4
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f569,f203]) ).
fof(f572,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_4 ),
inference(superposition,[],[f376,f570]) ).
fof(f582,plain,
( ~ ssList(nil)
| ~ spl0_1
| spl0_4 ),
inference(resolution,[],[f372,f572]) ).
fof(f584,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f582,f408]) ).
fof(f585,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f586,plain,
( tl(sk4) = app(nil,tl(sk4))
| ~ spl0_4 ),
inference(resolution,[],[f388,f74]) ).
fof(f588,plain,
( ~ ssList(sk3)
| ~ ssList(tl(sk4))
| spl0_6 ),
inference(resolution,[],[f397,f85]) ).
fof(f589,plain,
( ~ ssList(tl(sk4))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f588,f202]) ).
fof(f590,plain,
( $false
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f589,f388]) ).
fof(f591,plain,
( ~ spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f744,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f745,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f107,f203]) ).
fof(f747,definition,
( spl0_16
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f748,plain,
( nil != sk4
| spl0_16 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f749,plain,
( nil = sk4
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f751,definition,
( spl0_17
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f753,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f754,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f745,f751,f747]) ).
fof(f756,definition,
( spl0_18
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f757,plain,
( nil != sk3
| spl0_18 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( nil = sk3
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f760,definition,
( spl0_19
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f762,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f763,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f744,f760,f756]) ).
fof(f844,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f376,f749]) ).
fof(f961,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f844,f372]) ).
fof(f963,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f961,f408]) ).
fof(f964,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f1145,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk3
| hd(sk3) = hd(app(sk3,X0)) ),
inference(resolution,[],[f129,f202]) ).
fof(f1148,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sk3) = hd(app(sk3,X0)) )
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1145,f757]) ).
fof(f1340,definition,
( spl0_27
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1341,plain,
( ~ ssItem(hd(sk4))
| spl0_27 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1342,plain,
( ssItem(hd(sk4))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1442,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) ),
inference(resolution,[],[f144,f202]) ).
fof(f1445,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f1442,f757]) ).
fof(f1454,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ spl0_27 ),
inference(resolution,[],[f1342,f284]) ).
fof(f1455,plain,
( nil = sk4
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1454,f203]) ).
fof(f1456,plain,
( $false
| spl0_16
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1455,f748]) ).
fof(f1457,plain,
( spl0_16
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1508,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(tl(sk4))
| tl(sk4) = X0 )
| ~ spl0_5 ),
inference(superposition,[],[f162,f393]) ).
fof(f1519,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| tl(sk4) = X0 )
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1508,f202]) ).
fof(f1543,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ~ ssList(X0)
| tl(sk4) = X0 )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1519,f388]) ).
fof(f1595,plain,
( ! [X0] :
( tl(sk4) != app(X0,tl(sk4))
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ~ ssList(nil)
| nil = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f163,f586]) ).
fof(f1604,plain,
( ! [X0] :
( tl(sk4) != app(X0,tl(sk4))
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1595,f388]) ).
fof(f1628,plain,
( ! [X0] :
( tl(sk4) != app(X0,tl(sk4))
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1604,f408]) ).
fof(f1908,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ssItem(X1)
| ~ ssList(X3) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f358,f439]) ).
fof(f1912,definition,
( spl0_40
<=> ! [X3] : ~ ssList(X3) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1913,plain,
( ! [X3] : ~ ssList(X3)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f1915,definition,
( spl0_41
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,cons(X2,X0)))
| ssItem(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1916,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X1,cons(X2,X0)))
| ~ ssList(X1)
| ~ ssList(X0)
| ssItem(X2) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1915]) ).
fof(f2004,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) )
| ~ spl0_14 ),
inference(backward_subsumption_resolution,[],[f314,f436]) ).
fof(f2381,plain,
( ! [X0] : cons(X0,tl(sk4)) = app(cons(X0,nil),tl(sk4))
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f2004,f388]) ).
fof(f3183,plain,
( sk4 != tl(sk4)
| ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ spl0_17 ),
inference(superposition,[],[f300,f753]) ).
fof(f3186,plain,
( sk4 != tl(sk4)
| ~ ssList(tl(sk4))
| ~ spl0_17
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f3183,f1341]) ).
fof(f3189,plain,
( sk4 != tl(sk4)
| ~ spl0_4
| ~ spl0_17
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f3186,f388]) ).
fof(f4872,definition,
( spl0_146
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f4873,plain,
( ssList(tl(sk3))
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f4872]) ).
fof(f4874,plain,
( ~ ssList(tl(sk3))
| spl0_146 ),
inference(avatar_component_clause,[],[f4872]) ).
fof(f4876,definition,
( spl0_147
<=> ssItem(hd(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f4877,plain,
( ~ ssItem(hd(sk3))
| spl0_147 ),
inference(avatar_component_clause,[],[f4876]) ).
fof(f4878,plain,
( ssItem(hd(sk3))
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f4876]) ).
fof(f4963,definition,
( spl0_168
<=> nil = tl(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f4965,plain,
( nil = tl(sk3)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f4963]) ).
fof(f5158,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_146 ),
inference(resolution,[],[f4874,f75]) ).
fof(f5159,plain,
( nil = sk3
| spl0_146 ),
inference(forward_subsumption_resolution,[],[f5158,f202]) ).
fof(f5197,plain,
( hd(app(sk3,tl(sk4))) = hd(sk3)
| ~ spl0_4
| spl0_18 ),
inference(resolution,[],[f1148,f388]) ).
fof(f5202,plain,
( hd(sk3) = hd(sk4)
| ~ spl0_4
| ~ spl0_5
| spl0_18 ),
inference(forward_demodulation,[],[f5197,f393]) ).
fof(f5265,plain,
( spl0_18
| spl0_146 ),
inference(avatar_split_clause,[],[f5159,f4872,f756]) ).
fof(f5271,definition,
( spl0_192
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
fof(f5272,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f5271]) ).
fof(f5345,plain,
( ! [X0] :
( app(nil,X0) != sk4
| ~ ssList(X0)
| tl(sk4) = X0 )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1543,f758]) ).
fof(f5352,plain,
( sk4 != sk4
| ~ ssList(sk4)
| sk4 = tl(sk4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f5345,f516]) ).
fof(f5353,plain,
( ~ ssList(sk4)
| sk4 = tl(sk4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f5352]) ).
fof(f5354,plain,
( sk4 = tl(sk4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f5353,f203]) ).
fof(f5355,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f5354,f3189]) ).
fof(f5356,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f5355]) ).
fof(f5358,plain,
( spl0_192
| spl0_18 ),
inference(avatar_split_clause,[],[f1445,f756,f5271]) ).
fof(f5481,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_147 ),
inference(resolution,[],[f4878,f284]) ).
fof(f5482,plain,
( nil = sk3
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f5481,f202]) ).
fof(f5483,plain,
( $false
| spl0_18
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f5482,f757]) ).
fof(f5484,plain,
( spl0_18
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f5483]) ).
fof(f5788,plain,
( tl(app(sk3,tl(sk4))) = app(tl(sk3),tl(sk4))
| ~ spl0_4
| ~ spl0_192 ),
inference(resolution,[],[f5272,f388]) ).
fof(f5791,plain,
( tl(sk4) = app(tl(sk3),tl(sk4))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_192 ),
inference(forward_demodulation,[],[f5788,f393]) ).
fof(f6464,plain,
( $false
| ~ spl0_40 ),
inference(backward_subsumption_resolution,[],[f203,f1913]) ).
fof(f6501,plain,
~ spl0_40,
inference(avatar_contradiction_clause,[],[f6464]) ).
fof(f8443,plain,
( sk3 = cons(hd(sk4),tl(sk3))
| ~ spl0_4
| ~ spl0_5
| spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f762,f5202]) ).
fof(f8450,plain,
( sk3 = cons(hd(sk4),nil)
| ~ spl0_4
| ~ spl0_5
| spl0_18
| ~ spl0_19
| ~ spl0_168 ),
inference(forward_demodulation,[],[f8443,f4965]) ).
fof(f13174,plain,
( ! [X0] :
( ~ ssList(app(X0,sk3))
| ~ ssList(X0)
| ~ ssList(tl(sk3))
| ssItem(hd(sk3)) )
| ~ spl0_19
| ~ spl0_41 ),
inference(superposition,[],[f1916,f762]) ).
fof(f13176,plain,
( ! [X0] :
( ~ ssList(app(X0,sk3))
| ~ ssList(X0)
| ssItem(hd(sk3)) )
| ~ spl0_19
| ~ spl0_41
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f13174,f4873]) ).
fof(f13183,plain,
( ! [X0] :
( ~ ssList(app(X0,sk3))
| ~ ssList(X0) )
| ~ spl0_19
| ~ spl0_41
| ~ spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f13176,f4877]) ).
fof(f15027,plain,
( ! [X0] :
( sk4 != cons(X0,tl(sk4))
| cons(X0,nil) != sk3
| ~ ssList(tl(sk4)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f444,f2381]) ).
fof(f15052,plain,
( ! [X0] :
( sk4 != cons(X0,tl(sk4))
| cons(X0,nil) != sk3 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f15027,f388]) ).
fof(f18171,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X0)))
| ~ ssList(cons(X2,X3)) )
| ~ spl0_15 ),
inference(resolution,[],[f1908,f85]) ).
fof(f18208,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssItem(X2)
| ~ ssList(X3)
| ~ ssList(app(X1,cons(X2,X0))) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f18171,f290]) ).
fof(f18227,plain,
( spl0_40
| spl0_41
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f18208,f438,f1915,f1912]) ).
fof(f19482,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(sk3) )
| ~ spl0_19
| ~ spl0_41
| ~ spl0_146
| spl0_147 ),
inference(resolution,[],[f13183,f85]) ).
fof(f19485,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk3) )
| ~ spl0_19
| ~ spl0_41
| ~ spl0_146
| spl0_147 ),
inference(duplicate_literal_removal,[],[f19482]) ).
fof(f19489,plain,
( ! [X0] : ~ ssList(X0)
| ~ spl0_19
| ~ spl0_41
| ~ spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f19485,f202]) ).
fof(f19492,plain,
( spl0_40
| ~ spl0_19
| ~ spl0_41
| ~ spl0_146
| spl0_147 ),
inference(avatar_split_clause,[],[f19489,f4876,f4872,f1915,f760,f1912]) ).
fof(f31927,definition,
( spl0_514
<=> sk3 = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_514])],[avatar_definition]) ).
fof(f35154,plain,
( spl0_514
| ~ spl0_4
| ~ spl0_5
| spl0_18
| ~ spl0_19
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f8450,f4963,f760,f756,f391,f387,f31927]) ).
fof(f67075,plain,
( tl(sk4) != tl(sk4)
| ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_192 ),
inference(superposition,[],[f1628,f5791]) ).
fof(f67077,plain,
( ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f67075]) ).
fof(f67079,plain,
( nil = tl(sk3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_146
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f67077,f4873]) ).
fof(f67361,plain,
( spl0_168
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_146
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f67079,f5271,f4872,f407,f391,f387,f4963]) ).
fof(f68255,plain,
( sk4 != sk4
| sk3 != cons(hd(sk4),nil)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f15052,f753]) ).
fof(f68256,plain,
( sk3 != cons(hd(sk4),nil)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f68255]) ).
fof(f68257,plain,
( ~ spl0_514
| ~ spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f68256,f751,f435,f387,f379,f31927]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f381]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f398]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f401]) ).
cnf(s12,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f440]) ).
cnf(s15,plain,
spl0_8,
inference(sat_conversion,[],[f443]) ).
cnf(s17,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f568]) ).
cnf(s18,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f585]) ).
cnf(s19,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f591]) ).
cnf(s20,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f754]) ).
cnf(s21,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f763]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f964]) ).
cnf(s46,plain,
( spl0_16
| ~ spl0_27 ),
inference(sat_conversion,[],[f1457]) ).
cnf(s212,plain,
( spl0_18
| spl0_146 ),
inference(sat_conversion,[],[f5265]) ).
cnf(s218,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18
| spl0_27 ),
inference(sat_conversion,[],[f5356]) ).
cnf(s220,plain,
( spl0_18
| spl0_192 ),
inference(sat_conversion,[],[f5358]) ).
cnf(s238,plain,
( spl0_18
| ~ spl0_147 ),
inference(sat_conversion,[],[f5484]) ).
cnf(s307,plain,
~ spl0_40,
inference(sat_conversion,[],[f6501]) ).
cnf(s693,plain,
( ~ spl0_15
| spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f18227]) ).
cnf(s726,plain,
( ~ spl0_19
| spl0_40
| ~ spl0_41
| ~ spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f19492]) ).
cnf(s1347,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_18
| ~ spl0_19
| ~ spl0_168
| spl0_514 ),
inference(sat_conversion,[],[f35154]) ).
cnf(s3257,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_146
| spl0_168
| ~ spl0_192 ),
inference(sat_conversion,[],[f67361]) ).
cnf(s3445,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_14
| ~ spl0_17
| ~ spl0_514 ),
inference(sat_conversion,[],[f68257]) ).
cnf(s3556,plain,
~ spl0_16,
inference(rat,[],[s29,s15,s5]) ).
cnf(s3557,plain,
spl0_4,
inference(rat,[],[s18,s15,s5]) ).
cnf(s3558,plain,
spl0_3,
inference(rat,[],[s17,s15,s5]) ).
cnf(s3569,plain,
~ spl0_27,
inference(rat,[],[s46,s3556]) ).
cnf(s3571,plain,
spl0_17,
inference(rat,[],[s20,s3556]) ).
cnf(s3581,plain,
spl0_6,
inference(rat,[],[s19,s3557]) ).
cnf(s3612,plain,
spl0_5,
inference(rat,[],[s2,s3581,s3557,s3558,s5]) ).
cnf(s3624,plain,
~ spl0_18,
inference(rat,[],[s218,s3569,s3557,s3571,s3612]) ).
cnf(s3637,plain,
~ spl0_147,
inference(rat,[],[s238,s3624]) ).
cnf(s3638,plain,
spl0_192,
inference(rat,[],[s220,s3624]) ).
cnf(s3640,plain,
spl0_146,
inference(rat,[],[s212,s3624]) ).
cnf(s3642,plain,
spl0_19,
inference(rat,[],[s21,s3624]) ).
cnf(s3668,plain,
spl0_168,
inference(rat,[],[s3257,s3638,s3612,s3557,s15,s3640]) ).
cnf(s3670,plain,
~ spl0_41,
inference(rat,[],[s726,s3637,s3640,s307,s3642]) ).
cnf(s3737,plain,
spl0_514,
inference(rat,[],[s1347,s3642,s3624,s3612,s3557,s3668]) ).
cnf(s3738,plain,
~ spl0_15,
inference(rat,[],[s693,s307,s3670]) ).
cnf(s3760,plain,
spl0_14,
inference(rat,[],[s12,s3738]) ).
cnf(s3836,plain,
~ spl0_2,
inference(rat,[],[s3445,s3737,s3571,s3557,s3760]) ).
cnf(s3906,plain,
$false,
inference(rat,[],[s1,s3836,s5]) ).
fof(f68258,plain,
$false,
inference(avatar_sat_refutation,[],[s3906]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC015-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n020.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 07:27:05 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.28/2.21 % (16941)Will run a generic schedule for satisfiability detection.
% 6.28/2.21 % (16946)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3037326903_2999 on theBenchmark for (2999ds/0Mi)
% 6.28/2.21 % (16947)% WARNING: option uhcvi not known.
% 6.28/2.21 % TRYING [1]
% 6.28/2.21 % (16947)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3226985291:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.28/2.21 % TRYING [2]
% 6.28/2.21 % (16948)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3685923920:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.28/2.21 % (16949)dis+10_1_sil=32000:sp=arity:random_seed=2522086324:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.28/2.21 % (16950)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1665070459:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.28/2.21 % (16951)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3922534272:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.28/2.21 % (16952)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2831224965:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.28/2.21 % TRYING [3]
% 6.28/2.21 % TRYING [4]
% 6.28/2.21 % TRYING [5]
% 6.28/2.21 % (16949)Instruction limit reached!
% 6.28/2.21 % (16949)------------------------------
% 6.28/2.21 % (16949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16949)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16949)Termination reason: Instruction limit
% 6.28/2.21 % (16949)Termination phase: Saturation
% 6.28/2.21 % (16949)Time elapsed: 0.059 s
% 6.28/2.21 % (16949)Peak memory usage: 13 MB
% 6.28/2.21 % (16949)Instructions burned: 104 (million)
% 6.28/2.21 % (16950)Instruction limit reached!
% 6.28/2.21 % (16950)------------------------------
% 6.28/2.21 % (16950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16950)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16950)Termination reason: Instruction limit
% 6.28/2.21 % (16950)Termination phase: Saturation
% 6.28/2.21 % (16950)Time elapsed: 0.060 s
% 6.28/2.21 % (16950)Peak memory usage: 13 MB
% 6.28/2.21 % (16950)Instructions burned: 116 (million)
% 6.28/2.21 % (16951)Instruction limit reached!
% 6.28/2.21 % (16951)------------------------------
% 6.28/2.21 % (16951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16951)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16951)Termination reason: Instruction limit
% 6.28/2.21 % (16951)Termination phase: Saturation
% 6.28/2.21 % (16951)Time elapsed: 0.062 s
% 6.28/2.21 % (16951)Peak memory usage: 13 MB
% 6.28/2.21 % (16951)Instructions burned: 132 (million)
% 6.28/2.21 % (16961)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=670107740:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.28/2.21 % (16960)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1817948909:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.28/2.21 % (16962)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3680587893:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.28/2.21 % TRYING [1]
% 6.28/2.21 % TRYING [2]
% 6.28/2.21 % (16952)Instruction limit reached!
% 6.28/2.21 % (16952)------------------------------
% 6.28/2.21 % (16952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16952)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16952)Termination reason: Instruction limit
% 6.28/2.21 % (16952)Termination phase: Saturation
% 6.28/2.21 % (16952)Time elapsed: 0.096 s
% 6.28/2.21 % (16952)Peak memory usage: 14 MB
% 6.28/2.21 % (16952)Instructions burned: 160 (million)
% 6.28/2.21 % TRYING [3]
% 6.28/2.21 % (16966)ott-21_1_sil=16000:fs=off:random_seed=3565243312:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.28/2.21 % TRYING [4]
% 6.28/2.21 % TRYING [6]
% 6.28/2.21 % (16961)Instruction limit reached!
% 6.28/2.21 % (16961)------------------------------
% 6.28/2.21 % (16961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16961)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16961)Termination reason: Instruction limit
% 6.28/2.21 % (16961)Termination phase: Saturation
% 6.28/2.21 % (16961)Time elapsed: 0.068 s
% 6.28/2.21 % (16961)Peak memory usage: 13 MB
% 6.28/2.21 % (16961)Instructions burned: 133 (million)
% 6.28/2.21 % (16968)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=823945252:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.28/2.21 % TRYING [5]
% 6.28/2.21 % (16966)Instruction limit reached!
% 6.28/2.21 % (16966)------------------------------
% 6.28/2.21 % (16966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16966)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16966)Termination reason: Instruction limit
% 6.28/2.21 % (16966)Termination phase: Saturation
% 6.28/2.21 % (16966)Time elapsed: 0.090 s
% 6.28/2.21 % (16966)Peak memory usage: 13 MB
% 6.28/2.21 % (16966)Instructions burned: 181 (million)
% 6.28/2.21 % (16970)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1618160641:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.28/2.21 % TRYING [1]
% 6.28/2.21 % TRYING [2]
% 6.28/2.21 % TRYING [3]
% 6.28/2.21 % TRYING [4]
% 6.28/2.21 % TRYING [6]
% 6.28/2.21 % (16960)Instruction limit reached!
% 6.28/2.21 % (16960)------------------------------
% 6.28/2.21 % (16960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16960)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16960)Termination reason: Instruction limit
% 6.28/2.21 % (16960)Termination phase: Finite model building constraint generation
% 6.28/2.21 % (16960)Time elapsed: 0.286 s
% 6.28/2.21 % (16960)Peak memory usage: 36 MB
% 6.28/2.21 % (16960)Instructions burned: 715 (million)
% 6.28/2.21 % TRYING [7]
% 6.28/2.21 % (16972)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=149429475:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.28/2.21 % TRYING [5]
% 6.28/2.21 % (16968)Instruction limit reached!
% 6.28/2.21 % (16968)------------------------------
% 6.28/2.21 % (16968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16968)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16968)Termination reason: Instruction limit
% 6.28/2.21 % (16968)Termination phase: Saturation
% 6.28/2.21 % (16968)Time elapsed: 0.298 s
% 6.28/2.21 % (16968)Peak memory usage: 14 MB
% 6.28/2.21 % (16968)Instructions burned: 477 (million)
% 6.28/2.21 % (16974)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1809564869:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.28/2.21 % (16962)Instruction limit reached!
% 6.28/2.21 % (16962)------------------------------
% 6.28/2.21 % (16962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16962)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16962)Termination reason: Instruction limit
% 6.28/2.21 % (16962)Termination phase: Saturation
% 6.28/2.21 % (16962)Time elapsed: 0.423 s
% 6.28/2.21 % (16962)Peak memory usage: 19 MB
% 6.28/2.21 % (16962)Instructions burned: 685 (million)
% 6.28/2.21 % (16976)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2365928020:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.28/2.21 % (16970)Instruction limit reached!
% 6.28/2.21 % (16970)------------------------------
% 6.28/2.21 % (16970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16970)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16970)Termination reason: Instruction limit
% 6.28/2.21 % (16970)Termination phase: Finite model building SAT solving
% 6.28/2.21 % (16970)Time elapsed: 0.339 s
% 6.28/2.21 % (16970)Peak memory usage: 23 MB
% 6.28/2.21 % (16970)Instructions burned: 867 (million)
% 6.28/2.21 % (16978)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2760479078:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.28/2.21 % TRYING [14]
% 6.28/2.21 % (16974)Instruction limit reached!
% 6.28/2.21 % (16974)------------------------------
% 6.28/2.21 % (16974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16974)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16974)Termination reason: Instruction limit
% 6.28/2.21 % (16974)Termination phase: Finite model building constraint generation
% 6.28/2.21 % (16974)Time elapsed: 0.330 s
% 6.28/2.21 % (16974)Peak memory usage: 73 MB
% 6.28/2.21 % (16974)Instructions burned: 891 (million)
% 6.28/2.21 % (16980)fmb+10_1_sil=64000:random_seed=1625243426:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.28/2.21 % TRYING [1]
% 6.28/2.21 % TRYING [2]
% 6.28/2.21 % TRYING [8]
% 6.28/2.21 % TRYING [3]
% 6.28/2.21 % (16976)Instruction limit reached!
% 6.28/2.21 % (16976)------------------------------
% 6.28/2.21 % (16976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16976)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16976)Termination reason: Instruction limit
% 6.28/2.21 % (16976)Termination phase: Saturation
% 6.28/2.21 % (16976)Time elapsed: 0.375 s
% 6.28/2.21 % (16976)Peak memory usage: 21 MB
% 6.28/2.21 % (16976)Instructions burned: 692 (million)
% 6.28/2.21 % (16982)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2359126665:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.28/2.21 % TRYING [4]
% 6.28/2.21 % TRYING [20]
% 6.28/2.21 % (16978)Instruction limit reached!
% 6.28/2.21 % (16978)------------------------------
% 6.28/2.21 % (16978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16978)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16978)Termination reason: Instruction limit
% 6.28/2.21 % (16978)Termination phase: Saturation
% 6.28/2.21 % (16978)Time elapsed: 0.469 s
% 6.28/2.21 % (16978)Peak memory usage: 20 MB
% 6.28/2.21 % (16978)Instructions burned: 880 (million)
% 6.28/2.21 % (16972)Instruction limit reached!
% 6.28/2.21 % (16972)------------------------------
% 6.28/2.21 % (16972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16972)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16972)Termination reason: Instruction limit
% 6.28/2.21 % (16972)Termination phase: Saturation
% 6.28/2.21 % (16972)Time elapsed: 0.676 s
% 6.28/2.21 % (16972)Peak memory usage: 27 MB
% 6.28/2.21 % (16972)Instructions burned: 1181 (million)
% 6.28/2.21 % (16984)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2068618991:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 6.28/2.21 % TRYING [5]
% 6.28/2.21 % (16985)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=812937476:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 6.28/2.21 % TRYING [8]
% 6.28/2.21 % (16984)Instruction limit reached!
% 6.28/2.21 % (16984)------------------------------
% 6.28/2.21 % (16984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16984)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16984)Termination reason: Instruction limit
% 6.28/2.21 % (16984)Termination phase: Finite model building constraint generation
% 6.28/2.21 % (16984)Time elapsed: 0.333 s
% 6.28/2.21 % (16984)Peak memory usage: 79 MB
% 6.28/2.21 % (16984)Instructions burned: 922 (million)
% 6.28/2.21 % (16988)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1573377771:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 6.28/2.21 % TRYING [6]
% 6.28/2.21 % TRYING [9]
% 6.28/2.21 % (16947) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-16941-16947"...
% 6.28/2.21 % (16947)...printing done.
% 6.28/2.21 % (16947)Refutation found. Thanks to Tanya!
% 6.28/2.21 % SZS status Unsatisfiable for theBenchmark
% 6.28/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 6.28/2.21 % (16947)------------------------------
% 6.28/2.21 % (16947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.28/2.21 % (16947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/2.21 % (16947)CaDiCaL version: 2.1.3
% 6.28/2.21 % (16947)Termination reason: Refutation
% 6.28/2.21 % (16947)Time elapsed: 1.718 s
% 6.28/2.21 % (16947)Peak memory usage: 39 MB
% 6.28/2.21 % (16947)Instructions burned: 3012 (million)
% 6.28/2.21 % (16941)Success in time 1.778 s
% 6.28/2.21 % Vampire exiting
%------------------------------------------------------------------------------