%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC396-1 : 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 : n015.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 01:05:52 PM UTC 2026
% Result : Unsatisfiable 13.62s 3.94s
% Output : Refutation 13.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 39
% Syntax : Number of formulae : 194 ( 35 unt; 14 def)
% Number of atoms : 679 ( 71 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 774 ( 289 ~; 471 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| ssList(tl(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(X0)
| ~ ssList(X1)
| ssList(app(X1,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(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] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,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(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).
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(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
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,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ neq(sk4,nil)
| ~ ssList(X0)
| sk4 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk3) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f213,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f214,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f215,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f227,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f189]) ).
fof(f233,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(f240,plain,
! [X2,X3,X0] :
( ~ neq(sk4,nil)
| ~ ssList(X0)
| sk4 = X0
| ~ ssList(tl(sk3))
| ~ ssList(X2)
| app(tl(sk3),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f211]) ).
fof(f241,plain,
! [X2,X3] :
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),X2))
| sk4 = app(tl(sk3),X2)
| ~ ssList(tl(sk3))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f240]) ).
fof(f242,plain,
! [X3] :
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),cons(X3,nil)))
| sk4 = app(tl(sk3),cons(X3,nil))
| ~ ssList(tl(sk3))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f241]) ).
fof(f243,plain,
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
| sk4 = app(tl(sk3),cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| ~ ssList(cons(hd(sk3),nil))
| ~ ssItem(hd(sk3))
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f242]) ).
fof(f248,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f273,plain,
! [X0,X1] : ~ ssList(skaf45(X0,X1)),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f287,plain,
! [X0,X1] :
( ssList(X0)
| ~ duplicatefreeP(X0)
| ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f290,plain,
! [X0] :
( ~ ssList(tl(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f291,plain,
! [X0] :
( ssItem(hd(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f300,plain,
! [X0,X1] :
( ~ ssList(app(X1,X0))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f301,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ssList(X1)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f315,plain,
! [X0,X1] :
( neq(X1,X0)
| ssList(X1)
| ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f317,plain,
! [X0] :
( ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f336,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ssList(X1)
| ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ssList(X2)
| ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f348,plain,
! [X0,X1] :
( ssList(X1)
| ssList(X0)
| ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f361,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f375,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ssList(X0)
| ~ ssItem(X1)
| ssList(app(X0,cons(X1,X2)))
| ssList(X2) ),
inference(consistent_polarity_flipping,[],[f231]) ).
fof(f379,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,[],[f233]) ).
fof(f386,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f387,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f390,plain,
( ~ neq(sk4,nil)
| ssList(app(tl(sk3),cons(hd(sk3),nil)))
| sk4 = app(tl(sk3),cons(hd(sk3),nil))
| ssList(tl(sk3))
| ssList(cons(hd(sk3),nil))
| ~ ssItem(hd(sk3))
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(consistent_polarity_flipping,[],[f243]) ).
fof(f391,plain,
( ~ neq(sk4,nil)
| ssList(app(tl(sk3),cons(hd(sk3),nil)))
| sk4 = app(tl(sk3),cons(hd(sk3),nil))
| ssList(tl(sk3))
| ssList(cons(hd(sk3),nil))
| ~ ssItem(hd(sk3))
| ~ neq(nil,sk3) ),
inference(duplicate_literal_removal,[],[f390]) ).
fof(f399,definition,
( spl0_1
<=> neq(nil,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f401,plain,
( ~ neq(nil,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f403,definition,
( spl0_2
<=> ssItem(hd(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f404,plain,
( ssItem(hd(sk3))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f405,plain,
( ~ ssItem(hd(sk3))
| spl0_2 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f407,definition,
( spl0_3
<=> ssList(cons(hd(sk3),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f408,plain,
( ~ ssList(cons(hd(sk3),nil))
| spl0_3 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f409,plain,
( ssList(cons(hd(sk3),nil))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f411,definition,
( spl0_4
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f412,plain,
( ~ ssList(tl(sk3))
| spl0_4 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f413,plain,
( ssList(tl(sk3))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f415,definition,
( spl0_5
<=> sk4 = app(tl(sk3),cons(hd(sk3),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f417,plain,
( sk4 = app(tl(sk3),cons(hd(sk3),nil))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f419,definition,
( spl0_6
<=> ssList(app(tl(sk3),cons(hd(sk3),nil))) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f421,plain,
( ssList(app(tl(sk3),cons(hd(sk3),nil)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f423,definition,
( spl0_7
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f425,plain,
( ~ neq(sk4,nil)
| spl0_7 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f426,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f391,f423,f419,f415,f411,f407,f403,f399]) ).
fof(f433,definition,
( spl0_9
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f435,plain,
( nil != sk4
| spl0_9 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f437,definition,
( spl0_10
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f438,plain,
( nil != sk3
| spl0_10 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f439,plain,
( nil = sk3
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f440,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f209,f437,f433]) ).
fof(f446,definition,
( spl0_12
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f447,plain,
( ~ ssList(nil)
| spl0_12 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f474,definition,
( spl0_18
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f475,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,definition,
( spl0_19
<=> ! [X0] :
( ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f478,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ssList(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f287,f477,f474]) ).
fof(f482,plain,
~ spl0_12,
inference(avatar_split_clause,[],[f248,f446]) ).
fof(f603,plain,
( memberP(nil,sk5)
| ~ spl0_10 ),
inference(superposition,[],[f214,f439]) ).
fof(f616,plain,
( ~ ssItem(sk5)
| ~ spl0_10 ),
inference(resolution,[],[f71,f603]) ).
fof(f617,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f616,f206]) ).
fof(f618,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f730,plain,
( ssList(nil)
| ssList(sk3)
| nil = sk3
| spl0_1 ),
inference(resolution,[],[f315,f401]) ).
fof(f732,plain,
( ssList(sk4)
| ssList(nil)
| nil = sk4
| spl0_7 ),
inference(resolution,[],[f315,f425]) ).
fof(f735,plain,
( ssList(nil)
| nil = sk4
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f732,f387]) ).
fof(f737,plain,
( ssList(sk3)
| nil = sk3
| spl0_1
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f730,f447]) ).
fof(f738,plain,
( nil = sk4
| spl0_7
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f735,f447]) ).
fof(f740,plain,
( nil = sk3
| spl0_1
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f737,f386]) ).
fof(f741,plain,
( $false
| spl0_7
| spl0_9
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f738,f435]) ).
fof(f742,plain,
( spl0_7
| spl0_9
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f745,plain,
( $false
| spl0_1
| spl0_10
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f740,f438]) ).
fof(f746,plain,
( spl0_1
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f747,plain,
( ssList(sk3)
| nil = sk3
| spl0_2 ),
inference(resolution,[],[f405,f291]) ).
fof(f748,plain,
( nil = sk3
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f747,f386]) ).
fof(f749,plain,
( $false
| spl0_2
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f748,f438]) ).
fof(f750,plain,
( spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f753,plain,
( ssList(nil)
| ~ ssItem(hd(sk3))
| ~ spl0_3 ),
inference(resolution,[],[f409,f301]) ).
fof(f754,plain,
( ~ ssItem(hd(sk3))
| ~ spl0_3
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f753,f447]) ).
fof(f755,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f754,f404]) ).
fof(f756,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f760,plain,
( ssList(tl(sk3))
| ssList(cons(hd(sk3),nil))
| ~ spl0_6 ),
inference(resolution,[],[f421,f300]) ).
fof(f761,plain,
( ssList(tl(sk3))
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f760,f408]) ).
fof(f762,plain,
( spl0_4
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f761,f419,f407,f411]) ).
fof(f763,plain,
( ssList(sk3)
| nil = sk3
| ~ spl0_4 ),
inference(resolution,[],[f413,f290]) ).
fof(f764,plain,
( nil = sk3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f763,f386]) ).
fof(f765,plain,
( $false
| ~ spl0_4
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f764,f438]) ).
fof(f766,plain,
( ~ spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f816,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f317,f386]) ).
fof(f819,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f816,f438]) ).
fof(f1090,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ssList(X0)
| ssList(X1) ),
inference(forward_subsumption_resolution,[],[f348,f300]) ).
fof(f1144,plain,
( frontsegP(sk4,tl(sk3))
| ssList(tl(sk3))
| ssList(cons(hd(sk3),nil))
| ~ spl0_5 ),
inference(superposition,[],[f1090,f417]) ).
fof(f1149,plain,
( frontsegP(sk4,tl(sk3))
| ssList(cons(hd(sk3),nil))
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1144,f412]) ).
fof(f1151,plain,
( frontsegP(sk4,tl(sk3))
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1149,f408]) ).
fof(f1516,plain,
( ssList(tl(sk3))
| ssList(sk4)
| sk4 = app(tl(sk3),skaf45(sk4,tl(sk3)))
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f1151,f336]) ).
fof(f1519,plain,
( ssList(sk4)
| sk4 = app(tl(sk3),skaf45(sk4,tl(sk3)))
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1516,f412]) ).
fof(f1523,plain,
( sk4 = app(tl(sk3),skaf45(sk4,tl(sk3)))
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1519,f387]) ).
fof(f2206,plain,
( memberP(sk4,hd(sk3))
| ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ssList(sk4)
| ssList(nil)
| ~ spl0_5 ),
inference(superposition,[],[f375,f417]) ).
fof(f2210,plain,
( memberP(sk4,hd(sk3))
| ~ ssItem(hd(sk3))
| ssList(sk4)
| ssList(nil)
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f2206,f412]) ).
fof(f2212,plain,
( memberP(sk4,hd(sk3))
| ssList(sk4)
| ssList(nil)
| ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f2210,f404]) ).
fof(f2214,plain,
( memberP(sk4,hd(sk3))
| ssList(nil)
| ~ spl0_2
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f2212,f387]) ).
fof(f2215,plain,
( memberP(sk4,hd(sk3))
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f2214,f447]) ).
fof(f2260,plain,
( ! [X2,X3,X0,X1] :
( ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ssList(X2)
| ssList(X0)
| ~ ssItem(X1)
| ssList(X3) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f379,f478]) ).
fof(f2263,plain,
( ! [X0] :
( ssList(app(sk4,cons(hd(sk3),X0)))
| ssList(nil)
| ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ssList(X0) )
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f2260,f417]) ).
fof(f2266,plain,
( ! [X0] :
( ssList(app(sk4,cons(hd(sk3),X0)))
| ssList(tl(sk3))
| ~ ssItem(hd(sk3))
| ssList(X0) )
| ~ spl0_5
| spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2263,f447]) ).
fof(f2270,plain,
( ! [X0] :
( ssList(app(sk4,cons(hd(sk3),X0)))
| ~ ssItem(hd(sk3))
| ssList(X0) )
| spl0_4
| ~ spl0_5
| spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2266,f412]) ).
fof(f2279,plain,
( ! [X0] :
( ssList(app(sk4,cons(hd(sk3),X0)))
| ssList(X0) )
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2270,f404]) ).
fof(f3054,plain,
( ssList(app(sk4,sk3))
| ssList(tl(sk3))
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_10
| spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f2279,f819]) ).
fof(f3055,plain,
( ssList(app(sk4,sk3))
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_10
| spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f3054,f412]) ).
fof(f3518,definition,
( spl0_127
<=> sk5 = hd(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f3519,plain,
( sk5 != hd(sk3)
| spl0_127 ),
inference(avatar_component_clause,[],[f3518]) ).
fof(f3520,plain,
( sk5 = hd(sk3)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f3518]) ).
fof(f4262,plain,
( ssList(sk4)
| ssList(sk3)
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_10
| spl0_12
| ~ spl0_19 ),
inference(resolution,[],[f3055,f300]) ).
fof(f4263,plain,
( ssList(sk3)
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_10
| spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f4262,f387]) ).
fof(f4264,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_10
| spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f4263,f386]) ).
fof(f4265,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_10
| spl0_12
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f4264]) ).
fof(f4307,plain,
( ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ssList(X2)
| ssList(X0)
| memberP(app(X0,X2),X1) )
| ~ spl0_18 ),
inference(backward_subsumption_resolution,[],[f344,f475]) ).
fof(f4314,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ssList(X1)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 )
| ~ spl0_18 ),
inference(backward_subsumption_resolution,[],[f361,f475]) ).
fof(f4353,plain,
( ! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ssList(X1)
| memberP(X1,X2)
| X0 = X2 )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f4314,f475]) ).
fof(f4463,plain,
( memberP(sk4,sk5)
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_12
| ~ spl0_127 ),
inference(superposition,[],[f2215,f3520]) ).
fof(f4469,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_12
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f4463,f215]) ).
fof(f4470,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_12
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f4469]) ).
fof(f4875,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ssList(tl(sk3))
| memberP(tl(sk3),X0)
| hd(sk3) = X0 )
| spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f4353,f819]) ).
fof(f4888,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| memberP(tl(sk3),X0)
| hd(sk3) = X0 )
| spl0_4
| spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f4875,f412]) ).
fof(f66992,definition,
( spl0_1864
<=> memberP(tl(sk3),sk5) ),
introduced(definition,[new_symbols(definition,[spl0_1864])],[avatar_definition]) ).
fof(f66994,plain,
( memberP(tl(sk3),sk5)
| ~ spl0_1864 ),
inference(avatar_component_clause,[],[f66992]) ).
fof(f74910,plain,
( memberP(tl(sk3),sk5)
| sk5 = hd(sk3)
| spl0_4
| spl0_10
| ~ spl0_18 ),
inference(resolution,[],[f4888,f214]) ).
fof(f74911,plain,
( memberP(tl(sk3),sk5)
| spl0_4
| spl0_10
| ~ spl0_18
| spl0_127 ),
inference(forward_subsumption_resolution,[],[f74910,f3519]) ).
fof(f74912,plain,
( spl0_1864
| spl0_4
| spl0_10
| ~ spl0_18
| spl0_127 ),
inference(avatar_split_clause,[],[f74911,f3518,f474,f437,f411,f66992]) ).
fof(f74919,plain,
( ! [X0] :
( ssList(X0)
| ssList(tl(sk3))
| memberP(app(tl(sk3),X0),sk5) )
| ~ spl0_18
| ~ spl0_1864 ),
inference(resolution,[],[f66994,f4307]) ).
fof(f74920,plain,
( ! [X0] :
( memberP(app(tl(sk3),X0),sk5)
| ssList(X0) )
| spl0_4
| ~ spl0_18
| ~ spl0_1864 ),
inference(forward_subsumption_resolution,[],[f74919,f412]) ).
fof(f89695,plain,
( memberP(sk4,sk5)
| ssList(skaf45(sk4,tl(sk3)))
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_18
| ~ spl0_1864 ),
inference(superposition,[],[f74920,f1523]) ).
fof(f89699,plain,
( ssList(skaf45(sk4,tl(sk3)))
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_18
| ~ spl0_1864 ),
inference(forward_subsumption_resolution,[],[f89695,f215]) ).
fof(f89702,plain,
( $false
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_18
| ~ spl0_1864 ),
inference(forward_subsumption_resolution,[],[f89699,f273]) ).
fof(f89703,plain,
( spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_18
| ~ spl0_1864 ),
inference(avatar_contradiction_clause,[],[f89702]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f426]) ).
cnf(s3,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f440]) ).
cnf(s10,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f479]) ).
cnf(s13,plain,
~ spl0_12,
inference(sat_conversion,[],[f482]) ).
cnf(s19,plain,
~ spl0_10,
inference(sat_conversion,[],[f618]) ).
cnf(s23,plain,
( spl0_7
| spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f742]) ).
cnf(s25,plain,
( spl0_1
| spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f746]) ).
cnf(s26,plain,
( spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f750]) ).
cnf(s27,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f756]) ).
cnf(s28,plain,
( spl0_3
| spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f762]) ).
cnf(s29,plain,
( ~ spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f766]) ).
cnf(s150,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_10
| spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f4265]) ).
cnf(s163,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5
| spl0_12
| ~ spl0_127 ),
inference(sat_conversion,[],[f4470]) ).
cnf(s2982,plain,
( spl0_4
| spl0_10
| ~ spl0_18
| spl0_127
| spl0_1864 ),
inference(sat_conversion,[],[f74912]) ).
cnf(s4696,plain,
( spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_18
| ~ spl0_1864 ),
inference(sat_conversion,[],[f89703]) ).
cnf(s4723,plain,
~ spl0_4,
inference(rat,[],[s29,s19]) ).
cnf(s4724,plain,
spl0_2,
inference(rat,[],[s26,s19]) ).
cnf(s4859,plain,
spl0_1,
inference(rat,[],[s25,s19,s13]) ).
cnf(s4862,plain,
~ spl0_3,
inference(rat,[],[s27,s4724,s13]) ).
cnf(s4873,plain,
~ spl0_6,
inference(rat,[],[s28,s4723,s4862]) ).
cnf(s4959,plain,
~ spl0_9,
inference(rat,[],[s3,s19]) ).
cnf(s4969,plain,
spl0_7,
inference(rat,[],[s23,s13,s4959]) ).
cnf(s5229,plain,
spl0_5,
inference(rat,[],[s1,s4969,s4873,s4723,s4862,s4724,s4859]) ).
cnf(s5231,plain,
~ spl0_127,
inference(rat,[],[s163,s13,s4724,s4723,s5229]) ).
cnf(s5232,plain,
~ spl0_19,
inference(rat,[],[s150,s13,s4724,s19,s4723,s5229]) ).
cnf(s5242,plain,
spl0_18,
inference(rat,[],[s10,s5232]) ).
cnf(s5505,plain,
spl0_1864,
inference(rat,[],[s2982,s5231,s4723,s19,s5242]) ).
cnf(s5516,plain,
$false,
inference(rat,[],[s4696,s5229,s4862,s4723,s5505,s5242]) ).
fof(f89704,plain,
$false,
inference(avatar_sat_refutation,[],[s5516]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC396-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n015.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 09:30:01 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.30 Running first-order model finding
% 0.24/0.30 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
% 24.17/3.80 % (2499879)Will run a generic schedule for satisfiability detection.
% 24.17/3.80 % (2499885)% WARNING: option uhcvi not known.
% 24.17/3.80 % (2499888)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2360907872:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 24.17/3.80 % (2499885)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3170930079:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 24.17/3.80 % (2499886)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3843863872:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 24.17/3.80 % (2499889)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1294738918:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 24.17/3.80 % (2499884)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2846660565_2999 on theBenchmark for (2999ds/0Mi)
% 24.17/3.80 % (2499890)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1194501603:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 24.17/3.80 % (2499887)dis+10_1_sil=32000:sp=arity:random_seed=3260235604:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 24.17/3.80 % TRYING [1]
% 24.17/3.80 % TRYING [2]
% 24.17/3.80 % TRYING [3]
% 24.17/3.80 % (2499888)Instruction limit reached!
% 24.17/3.80 % (2499888)------------------------------
% 24.17/3.80 % (2499888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.80 % (2499888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/3.80 % (2499888)CaDiCaL version: 2.1.3
% 24.17/3.80 % (2499888)Termination reason: Instruction limit
% 24.17/3.80 % (2499888)Termination phase: Saturation
% 24.17/3.80 % (2499888)Time elapsed: 0.055 s
% 24.17/3.80 % (2499888)Peak memory usage: 13 MB
% 24.17/3.80 % (2499888)Instructions burned: 117 (million)
% 24.17/3.80 % TRYING [4]
% 24.17/3.80 % (2499898)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=321081064:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 24.17/3.80 % TRYING [1]
% 24.17/3.80 % TRYING [2]
% 24.17/3.80 % TRYING [3]
% 24.17/3.80 % (2499887)Instruction limit reached!
% 24.17/3.80 % (2499887)------------------------------
% 24.17/3.80 % (2499887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.80 % (2499887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/3.80 % (2499887)CaDiCaL version: 2.1.3
% 24.17/3.80 % (2499887)Termination reason: Instruction limit
% 24.17/3.80 % (2499887)Termination phase: Saturation
% 24.17/3.80 % (2499887)Time elapsed: 0.093 s
% 24.17/3.80 % (2499887)Peak memory usage: 13 MB
% 24.17/3.80 % (2499887)Instructions burned: 103 (million)
% 24.17/3.80 % (2499889)Instruction limit reached!
% 24.17/3.80 % (2499889)------------------------------
% 24.17/3.80 % (2499889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.80 % (2499889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/3.80 % (2499889)CaDiCaL version: 2.1.3
% 24.17/3.80 % (2499889)Termination reason: Instruction limit
% 24.17/3.80 % (2499889)Termination phase: Saturation
% 24.17/3.80 % (2499889)Time elapsed: 0.109 s
% 24.17/3.80 % (2499889)Peak memory usage: 14 MB
% 24.17/3.80 % (2499889)Instructions burned: 131 (million)
% 24.17/3.80 % TRYING [4]
% 24.17/3.80 % (2499900)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=157658160:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 24.17/3.80 % (2499901)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=3725556076:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 24.17/3.80 % (2499890)Instruction limit reached!
% 24.17/3.80 % (2499890)------------------------------
% 24.17/3.80 % (2499890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.17/3.80 % (2499890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.17/3.80 % (2499890)CaDiCaL version: 2.1.3
% 24.17/3.80 % (2499890)Termination reason: Instruction limit
% 24.17/3.80 % (2499890)Termination phase: Saturation
% 24.17/3.80 % (2499890)Time elapsed: 0.161 s
% 24.17/3.80 % (2499890)Peak memory usage: 13 MB
% 24.17/3.80 % (2499890)Instructions burned: 159 (million)
% 24.17/3.80 % TRYING [5]
% 24.17/3.80 % TRYING [5]
% 24.17/3.80 % (2499904)ott-21_1_sil=16000:fs=off:random_seed=1234617721:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 24.17/3.80 % (2499900)Instruction limit reached!
% 24.17/3.80 % (2499900)------------------------------
% 24.17/3.80 % (2499900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499900)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499900)Termination reason: Instruction limit
% 13.62/3.94 % (2499900)Termination phase: Saturation
% 13.62/3.94 % (2499900)Time elapsed: 0.109 s
% 13.62/3.94 % (2499900)Peak memory usage: 13 MB
% 13.62/3.94 % (2499900)Instructions burned: 131 (million)
% 13.62/3.94 % (2499906)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2025492699:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 13.62/3.94 % TRYING [6]
% 13.62/3.94 % (2499898)Instruction limit reached!
% 13.62/3.94 % (2499898)------------------------------
% 13.62/3.94 % (2499898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499898)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499898)Termination reason: Instruction limit
% 13.62/3.94 % (2499898)Termination phase: Finite model building constraint generation
% 13.62/3.94 % (2499898)Time elapsed: 0.291 s
% 13.62/3.94 % (2499898)Peak memory usage: 34 MB
% 13.62/3.94 % (2499898)Instructions burned: 717 (million)
% 13.62/3.94 % (2499904)Instruction limit reached!
% 13.62/3.94 % (2499904)------------------------------
% 13.62/3.94 % (2499904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499904)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499904)Termination reason: Instruction limit
% 13.62/3.94 % (2499904)Termination phase: Saturation
% 13.62/3.94 % (2499904)Time elapsed: 0.178 s
% 13.62/3.94 % (2499904)Peak memory usage: 13 MB
% 13.62/3.94 % (2499904)Instructions burned: 180 (million)
% 13.62/3.94 % (2499909)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2572311804:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 13.62/3.94 % (2499908)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2409342616:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 13.62/3.94 % TRYING [1]
% 13.62/3.94 % TRYING [2]
% 13.62/3.94 % TRYING [3]
% 13.62/3.94 % TRYING [4]
% 13.62/3.94 % TRYING [6]
% 13.62/3.94 % TRYING [5]
% 13.62/3.94 % (2499906)Instruction limit reached!
% 13.62/3.94 % (2499906)------------------------------
% 13.62/3.94 % (2499906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499906)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499906)Termination reason: Instruction limit
% 13.62/3.94 % (2499906)Termination phase: Saturation
% 13.62/3.94 % (2499906)Time elapsed: 0.477 s
% 13.62/3.94 % (2499906)Peak memory usage: 15 MB
% 13.62/3.94 % (2499906)Instructions burned: 477 (million)
% 13.62/3.94 % (2499912)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2545610672:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 13.62/3.94 % (2499901)Instruction limit reached!
% 13.62/3.94 % (2499901)------------------------------
% 13.62/3.94 % (2499901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499901)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499901)Termination reason: Instruction limit
% 13.62/3.94 % (2499901)Termination phase: Saturation
% 13.62/3.94 % (2499901)Time elapsed: 0.674 s
% 13.62/3.94 % (2499901)Peak memory usage: 19 MB
% 13.62/3.94 % (2499901)Instructions burned: 684 (million)
% 13.62/3.94 % (2499914)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=4131492867:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 13.62/3.94 % (2499908)Instruction limit reached!
% 13.62/3.94 % (2499908)------------------------------
% 13.62/3.94 % (2499908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499908)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499908)Termination reason: Instruction limit
% 13.62/3.94 % (2499908)Termination phase: Finite model building SAT solving
% 13.62/3.94 % (2499908)Time elapsed: 0.553 s
% 13.62/3.94 % (2499908)Peak memory usage: 23 MB
% 13.62/3.94 % (2499908)Instructions burned: 866 (million)
% 13.62/3.94 % TRYING [14]
% 13.62/3.94 % (2499909)Instruction limit reached!
% 13.62/3.94 % (2499909)------------------------------
% 13.62/3.94 % (2499909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499909)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499909)Termination reason: Instruction limit
% 13.62/3.94 % (2499909)Termination phase: Saturation
% 13.62/3.94 % (2499909)Time elapsed: 0.587 s
% 13.62/3.94 % (2499909)Peak memory usage: 25 MB
% 13.62/3.94 % (2499909)Instructions burned: 1181 (million)
% 13.62/3.94 % (2499918)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2646136372:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 13.62/3.94 % (2499919)fmb+10_1_sil=64000:random_seed=2101163473:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 13.62/3.94 % TRYING [1]
% 13.62/3.94 % TRYING [2]
% 13.62/3.94 % TRYING [3]
% 13.62/3.94 % TRYING [4]
% 13.62/3.94 % TRYING [5]
% 13.62/3.94 % TRYING [7]
% 13.62/3.94 % (2499912)Instruction limit reached!
% 13.62/3.94 % (2499912)------------------------------
% 13.62/3.94 % (2499912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499912)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499912)Termination reason: Instruction limit
% 13.62/3.94 % (2499912)Termination phase: Finite model building constraint generation
% 13.62/3.94 % (2499912)Time elapsed: 0.643 s
% 13.62/3.94 % (2499912)Peak memory usage: 72 MB
% 13.62/3.94 % (2499912)Instructions burned: 889 (million)
% 13.62/3.94 % (2499922)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3548361216:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 13.62/3.94 % TRYING [20]
% 13.62/3.94 % (2499914)Instruction limit reached!
% 13.62/3.94 % (2499914)------------------------------
% 13.62/3.94 % (2499914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499914)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499914)Termination reason: Instruction limit
% 13.62/3.94 % (2499914)Termination phase: Saturation
% 13.62/3.94 % (2499914)Time elapsed: 0.670 s
% 13.62/3.94 % (2499914)Peak memory usage: 22 MB
% 13.62/3.94 % (2499914)Instructions burned: 692 (million)
% 13.62/3.94 % (2499924)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2195659070:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 13.62/3.94 % TRYING [8]
% 13.62/3.94 % TRYING [6]
% 13.62/3.94 % (2499918)Instruction limit reached!
% 13.62/3.94 % (2499918)------------------------------
% 13.62/3.94 % (2499918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499918)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499918)Termination reason: Instruction limit
% 13.62/3.94 % (2499918)Termination phase: Saturation
% 13.62/3.94 % (2499918)Time elapsed: 0.773 s
% 13.62/3.94 % (2499918)Peak memory usage: 21 MB
% 13.62/3.94 % (2499918)Instructions burned: 879 (million)
% 13.62/3.94 % (2499926)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2858928369:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 13.62/3.94 % (2499924)Instruction limit reached!
% 13.62/3.94 % (2499924)------------------------------
% 13.62/3.94 % (2499924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499924)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499924)Termination reason: Instruction limit
% 13.62/3.94 % (2499924)Termination phase: Finite model building constraint generation
% 13.62/3.94 % (2499924)Time elapsed: 0.612 s
% 13.62/3.94 % (2499924)Peak memory usage: 79 MB
% 13.62/3.94 % (2499924)Instructions burned: 920 (million)
% 13.62/3.94 % (2499928)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3050156693:i=1472:ins=7:fdi=8:gsp=on_2977 on theBenchmark for (2977ds/1472Mi)
% 13.62/3.94 % TRYING [7]
% 13.62/3.94 % TRYING [8]
% 13.62/3.94 % (2499928)Instruction limit reached!
% 13.62/3.94 % (2499928)------------------------------
% 13.62/3.94 % (2499928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499928)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499928)Termination reason: Instruction limit
% 13.62/3.94 % (2499928)Termination phase: Saturation
% 13.62/3.94 % (2499928)Time elapsed: 1.140 s
% 13.62/3.94 % (2499928)Peak memory usage: 15 MB
% 13.62/3.94 % (2499928)Instructions burned: 1472 (million)
% 13.62/3.94 % (2499930)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=330034191:i=6324_2965 on theBenchmark for (2965ds/6324Mi)
% 13.62/3.94 % TRYING [77]
% 13.62/3.94 % (2499885) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2499879-2499885"...
% 13.62/3.94 % (2499885)...printing done.
% 13.62/3.94 % (2499885)Refutation found. Thanks to Tanya!
% 13.62/3.94 % SZS status Unsatisfiable for theBenchmark
% 13.62/3.94 % SZS output start Proof for theBenchmark
% See solution above
% 13.62/3.94 % (2499885)------------------------------
% 13.62/3.94 % (2499885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/3.94 % (2499885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/3.94 % (2499885)CaDiCaL version: 2.1.3
% 13.62/3.94 % (2499885)Termination reason: Refutation
% 13.62/3.94 % (2499885)Time elapsed: 3.535 s
% 13.62/3.94 % (2499885)Peak memory usage: 53 MB
% 13.62/3.94 % (2499885)Instructions burned: 3975 (million)
% 13.62/3.94 % (2499879)Success in time 3.629 s
% 13.62/3.94 % Vampire exiting
%------------------------------------------------------------------------------