%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC314-1 : 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 : n002.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 01:05:30 PM UTC 2026
% Result : Unsatisfiable 0.90s 0.44s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 47
% Syntax : Number of formulae : 216 ( 21 unt; 19 def)
% Number of atoms : 674 ( 117 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 730 ( 272 ~; 439 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 20 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
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(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
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(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
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(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).
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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk4) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssItem(sk5)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ssList(sk6)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
( sk2 = app(cons(sk5,nil),sk6)
| nil = sk2 ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( app(sk6,cons(sk5,nil)) != sk1
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( sk1 != app(sk6,cons(sk5,nil))
| nil = sk2 ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( ssList(sk6)
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
( sk2 = app(cons(sk5,nil),sk6)
| nil != sk1 ),
inference(reorient_equations,[],[f216]) ).
fof(f220,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f221,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f222,plain,
( ssItem(sk5)
| nil = sk4 ),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f223,plain,
( ssItem(sk5)
| nil != sk3 ),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f224,plain,
( ssList(sk6)
| nil = sk4 ),
inference(definition_unfolding,[],[f210,f204]) ).
fof(f225,plain,
( sk4 = app(cons(sk5,nil),sk6)
| nil = sk4 ),
inference(definition_unfolding,[],[f212,f204,f204]) ).
fof(f226,plain,
( sk3 != app(sk6,cons(sk5,nil))
| nil = sk4 ),
inference(definition_unfolding,[],[f214,f205,f204]) ).
fof(f227,plain,
( ssList(sk6)
| nil != sk3 ),
inference(definition_unfolding,[],[f215,f205]) ).
fof(f228,plain,
( sk4 = app(cons(sk5,nil),sk6)
| nil != sk3 ),
inference(definition_unfolding,[],[f217,f204,f205]) ).
fof(f239,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f247,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(f254,plain,
! [X2,X3,X0] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| app(tl(sk4),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f207]) ).
fof(f255,plain,
! [X2,X3] :
( ~ ssList(app(tl(sk4),X2))
| sk3 = app(tl(sk4),X2)
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f254]) ).
fof(f256,plain,
! [X3] :
( ~ ssList(app(tl(sk4),cons(X3,nil)))
| sk3 = app(tl(sk4),cons(X3,nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f255]) ).
fof(f257,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f256]) ).
fof(f263,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f325,plain,
! [X0] :
( ~ memberP(nil,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f326,plain,
! [X0,X1] :
( ssList(X0)
| ~ duplicatefreeP(X0)
| ~ ssItem(X1) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f329,plain,
! [X0] :
( ~ ssList(tl(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f330,plain,
! [X0] :
( ~ ssItem(hd(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f339,plain,
! [X0,X1] :
( ~ ssList(app(X1,X0))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f340,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ssList(X1)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f350,plain,
! [X0,X1] :
( ssItem(X0)
| ssList(X1)
| tl(cons(X0,X1)) = X1 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f351,plain,
! [X0,X1] :
( ssItem(X0)
| ssList(X1)
| hd(cons(X0,X1)) = X0 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f354,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ssList(X1)
| ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f358,plain,
! [X0] :
( ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f372,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ssList(X1)
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f374,plain,
! [X0,X1] :
( ssItem(X0)
| ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f392,plain,
! [X2,X1] :
( ssList(X2)
| ssItem(X1)
| ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(consistent_polarity_flipping,[],[f239]) ).
fof(f433,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,[],[f247]) ).
fof(f440,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f220]) ).
fof(f441,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f444,plain,
( ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ssList(tl(sk4))
| ssList(cons(hd(sk4),nil))
| ssItem(hd(sk4))
| neq(nil,sk4)
| neq(nil,sk4)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f257]) ).
fof(f445,plain,
( ~ ssItem(sk5)
| nil = sk4 ),
inference(consistent_polarity_flipping,[],[f222]) ).
fof(f446,plain,
( ~ ssItem(sk5)
| nil != sk3 ),
inference(consistent_polarity_flipping,[],[f223]) ).
fof(f447,plain,
( ~ ssList(sk6)
| nil = sk4 ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f448,plain,
( ~ ssList(sk6)
| nil != sk3 ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f449,plain,
( ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ssList(tl(sk4))
| ssList(cons(hd(sk4),nil))
| ssItem(hd(sk4))
| neq(nil,sk4)
| neq(sk4,nil) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f452,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ssItem(X1)
| ssList(X2) ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f457,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f461,definition,
( spl0_2
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f463,plain,
( sk3 != app(sk6,cons(sk5,nil))
| spl0_2 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f466,definition,
( spl0_3
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f468,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f469,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f228,f466,f457]) ).
fof(f471,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f473,plain,
( ~ ssList(sk6)
| spl0_4 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f474,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f448,f471,f457]) ).
fof(f476,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f477,plain,
( nil != sk4
| spl0_5 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f226,f461,f476]) ).
fof(f480,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f225,f466,f476]) ).
fof(f481,plain,
( spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f447,f471,f476]) ).
fof(f483,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f485,plain,
( ~ ssItem(sk5)
| spl0_6 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f446,f483,f457]) ).
fof(f487,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f445,f483,f476]) ).
fof(f489,definition,
( spl0_7
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f491,plain,
( neq(sk4,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f493,definition,
( spl0_8
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f495,plain,
( neq(nil,sk4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f497,definition,
( spl0_9
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f498,plain,
( ~ ssItem(hd(sk4))
| spl0_9 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f499,plain,
( ssItem(hd(sk4))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl0_10
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f503,plain,
( ssList(cons(hd(sk4),nil))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f505,definition,
( spl0_11
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f506,plain,
( ~ ssList(tl(sk4))
| spl0_11 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f507,plain,
( ssList(tl(sk4))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f509,definition,
( spl0_12
<=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f511,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f513,definition,
( spl0_13
<=> ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f515,plain,
( ssList(app(tl(sk4),cons(hd(sk4),nil)))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f516,plain,
( spl0_7
| spl0_8
| spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f449,f513,f509,f505,f501,f497,f493,f489]) ).
fof(f517,plain,
( ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f206,f457,f476]) ).
fof(f523,definition,
( spl0_15
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f524,plain,
( ~ ssList(nil)
| spl0_15 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f551,definition,
( spl0_21
<=> ! [X1] : ~ ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f552,plain,
( ! [X1] : ~ ssItem(X1)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,definition,
( spl0_22
<=> ! [X0] :
( ssList(X0)
| ~ duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f555,plain,
( ! [X0] :
( ~ duplicatefreeP(X0)
| ssList(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f326,f554,f551]) ).
fof(f559,plain,
~ spl0_15,
inference(avatar_split_clause,[],[f263,f523]) ).
fof(f672,plain,
( ! [X0,X1] :
( ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f350,f552]) ).
fof(f706,plain,
( ! [X0] : sk6 = tl(cons(X0,sk6))
| spl0_4
| ~ spl0_21 ),
inference(resolution,[],[f672,f473]) ).
fof(f707,plain,
( ! [X0,X1] :
( ssList(X1)
| hd(cons(X0,X1)) = X0 )
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f351,f552]) ).
fof(f742,plain,
( ! [X0] : hd(cons(X0,sk6)) = X0
| spl0_4
| ~ spl0_21 ),
inference(resolution,[],[f707,f473]) ).
fof(f744,plain,
( ssList(sk4)
| ssList(nil)
| nil = sk4
| ~ spl0_7 ),
inference(resolution,[],[f354,f491]) ).
fof(f747,plain,
( ssList(nil)
| nil = sk4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f744,f441]) ).
fof(f748,plain,
( nil = sk4
| ~ spl0_7
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f747,f524]) ).
fof(f751,plain,
( spl0_5
| ~ spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f748,f523,f489,f476]) ).
fof(f821,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| nil = sk4 ),
inference(resolution,[],[f358,f441]) ).
fof(f834,definition,
( spl0_25
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f836,plain,
( sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f837,plain,
( spl0_5
| spl0_25 ),
inference(avatar_split_clause,[],[f821,f834,f476]) ).
fof(f844,plain,
( ssList(nil)
| ssList(sk4)
| nil = sk4
| ~ spl0_8 ),
inference(resolution,[],[f495,f354]) ).
fof(f845,plain,
( ssList(sk4)
| nil = sk4
| ~ spl0_8
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f844,f524]) ).
fof(f848,plain,
( nil = sk4
| ~ spl0_8
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f845,f441]) ).
fof(f849,plain,
( $false
| spl0_5
| ~ spl0_8
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f848,f477]) ).
fof(f850,plain,
( spl0_5
| ~ spl0_8
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f853,plain,
( ssList(sk4)
| nil = sk4
| ~ spl0_11 ),
inference(resolution,[],[f507,f329]) ).
fof(f854,plain,
( nil = sk4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f853,f441]) ).
fof(f928,plain,
( nil != sk4
| ssList(sk6)
| ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_3 ),
inference(superposition,[],[f372,f468]) ).
fof(f1070,definition,
( spl0_35
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f1072,plain,
( ssList(cons(sk5,nil))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1078,plain,
( ssList(tl(sk4))
| ssList(cons(hd(sk4),nil))
| ~ spl0_13 ),
inference(resolution,[],[f515,f339]) ).
fof(f1079,plain,
( ssList(cons(hd(sk4),nil))
| spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1078,f506]) ).
fof(f1080,plain,
( spl0_10
| spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1079,f513,f505,f501]) ).
fof(f1104,plain,
( ssList(nil)
| ssItem(hd(sk4))
| ~ spl0_10 ),
inference(resolution,[],[f340,f503]) ).
fof(f1116,plain,
( ssItem(hd(sk4))
| ~ spl0_10
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1104,f524]) ).
fof(f1117,plain,
( $false
| spl0_9
| ~ spl0_10
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f1116,f498]) ).
fof(f1118,plain,
( spl0_9
| ~ spl0_10
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1119,plain,
( spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f854,f505,f476]) ).
fof(f1135,plain,
( nil != sk4
| ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_3
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f928,f473]) ).
fof(f1139,definition,
( spl0_40
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1141,plain,
( nil = cons(sk5,nil)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1142,plain,
( spl0_40
| spl0_35
| ~ spl0_5
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1135,f471,f466,f476,f1070,f1139]) ).
fof(f1398,plain,
( memberP(nil,sk5)
| ssItem(sk5)
| ssList(nil)
| ~ spl0_40 ),
inference(superposition,[],[f452,f1141]) ).
fof(f1406,plain,
( ssItem(sk5)
| ssList(nil)
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1398,f325]) ).
fof(f1415,plain,
( ssList(nil)
| spl0_6
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1406,f485]) ).
fof(f1420,plain,
( $false
| spl0_6
| spl0_15
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1415,f524]) ).
fof(f1421,plain,
( spl0_6
| spl0_15
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1420]) ).
fof(f1424,plain,
( ssList(nil)
| ssItem(sk5)
| ~ spl0_35 ),
inference(resolution,[],[f1072,f340]) ).
fof(f1425,plain,
( ssItem(sk5)
| spl0_15
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1424,f524]) ).
fof(f1426,plain,
( $false
| spl0_6
| spl0_15
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1425,f485]) ).
fof(f1427,plain,
( spl0_6
| spl0_15
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1562,plain,
( ! [X0] :
( ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| spl0_6 ),
inference(resolution,[],[f374,f485]) ).
fof(f2359,plain,
( ssList(sk4)
| nil = sk4
| ~ spl0_9 ),
inference(resolution,[],[f499,f330]) ).
fof(f2360,plain,
( nil = sk4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2359,f441]) ).
fof(f2361,plain,
( $false
| spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2360,f477]) ).
fof(f2362,plain,
( spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f2361]) ).
fof(f2880,plain,
( ! [X2,X3,X0,X1] :
( ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ssList(X2)
| ssList(X0)
| ssItem(X1)
| ssList(X3) )
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f433,f555]) ).
fof(f3999,plain,
( ! [X0] :
( ssList(app(sk3,cons(hd(sk4),X0)))
| ssList(nil)
| ssList(tl(sk4))
| ssItem(hd(sk4))
| ssList(X0) )
| ~ spl0_12
| ~ spl0_22 ),
inference(superposition,[],[f2880,f511]) ).
fof(f4018,plain,
( ! [X0] :
( ssList(app(sk3,cons(hd(sk4),X0)))
| ssList(tl(sk4))
| ssItem(hd(sk4))
| ssList(X0) )
| ~ spl0_12
| spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f3999,f524]) ).
fof(f4032,plain,
( ! [X0] :
( ssList(app(sk3,cons(hd(sk4),X0)))
| ssItem(hd(sk4))
| ssList(X0) )
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f4018,f506]) ).
fof(f4039,plain,
( ! [X0] :
( ssList(app(sk3,cons(hd(sk4),X0)))
| ssList(X0) )
| spl0_9
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f4032,f498]) ).
fof(f4598,plain,
( ssList(app(sk3,sk4))
| ssList(tl(sk4))
| spl0_9
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22
| ~ spl0_25 ),
inference(superposition,[],[f4039,f836]) ).
fof(f4599,plain,
( ssList(app(sk3,sk4))
| spl0_9
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f4598,f506]) ).
fof(f5417,plain,
( app(cons(sk5,nil),sk6) = cons(sk5,sk6)
| spl0_4
| spl0_6 ),
inference(resolution,[],[f1562,f473]) ).
fof(f6261,plain,
( sk4 = cons(sk5,sk6)
| ~ spl0_3
| spl0_4
| spl0_6 ),
inference(forward_demodulation,[],[f5417,f468]) ).
fof(f6772,plain,
( tl(sk4) = sk6
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f706,f6261]) ).
fof(f7796,plain,
( hd(sk4) = sk5
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f742,f6261]) ).
fof(f7848,plain,
( sk3 = app(tl(sk4),cons(sk5,nil))
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f511,f7796]) ).
fof(f7899,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f7848,f6772]) ).
fof(f7902,plain,
( $false
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f7899,f463]) ).
fof(f7903,plain,
( spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f7902]) ).
fof(f7999,plain,
( ssList(sk3)
| ssList(sk4)
| spl0_9
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22
| ~ spl0_25 ),
inference(resolution,[],[f4599,f339]) ).
fof(f8000,plain,
( ssList(sk4)
| spl0_9
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f7999,f440]) ).
fof(f8001,plain,
( $false
| spl0_9
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f8000,f441]) ).
fof(f8002,plain,
( spl0_9
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f8001]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f469]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f474]) ).
cnf(s4,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f479]) ).
cnf(s5,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f480]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f481]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f486]) ).
cnf(s8,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f487]) ).
cnf(s9,plain,
( spl0_7
| spl0_8
| spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f516]) ).
cnf(s10,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f517]) ).
cnf(s17,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f556]) ).
cnf(s20,plain,
~ spl0_15,
inference(sat_conversion,[],[f559]) ).
cnf(s22,plain,
( spl0_5
| ~ spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f751]) ).
cnf(s24,plain,
( spl0_5
| spl0_25 ),
inference(sat_conversion,[],[f837]) ).
cnf(s27,plain,
( spl0_5
| ~ spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f850]) ).
cnf(s38,plain,
( spl0_10
| spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s40,plain,
( spl0_9
| ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f1118]) ).
cnf(s41,plain,
( spl0_5
| ~ spl0_11 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s44,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_35
| spl0_40 ),
inference(sat_conversion,[],[f1142]) ).
cnf(s60,plain,
( spl0_6
| spl0_15
| ~ spl0_40 ),
inference(sat_conversion,[],[f1421]) ).
cnf(s62,plain,
( spl0_6
| spl0_15
| ~ spl0_35 ),
inference(sat_conversion,[],[f1427]) ).
cnf(s122,plain,
( spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f2362]) ).
cnf(s407,plain,
( spl0_2
| ~ spl0_3
| spl0_4
| spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f7903]) ).
cnf(s420,plain,
( spl0_9
| spl0_11
| ~ spl0_12
| spl0_15
| ~ spl0_22
| ~ spl0_25 ),
inference(sat_conversion,[],[f8002]) ).
cnf(s425,plain,
spl0_5,
inference(rat,[],[s17,s420,s407,s9,s38,s40,s4,s5,s6,s8,s22,s24,s27,s41,s122,s20]) ).
cnf(s428,plain,
spl0_1,
inference(rat,[],[s10,s425]) ).
cnf(s431,plain,
~ spl0_6,
inference(rat,[],[s7,s428]) ).
cnf(s432,plain,
~ spl0_4,
inference(rat,[],[s3,s428]) ).
cnf(s433,plain,
spl0_3,
inference(rat,[],[s2,s428]) ).
cnf(s435,plain,
~ spl0_35,
inference(rat,[],[s62,s20,s431]) ).
cnf(s436,plain,
~ spl0_40,
inference(rat,[],[s60,s20,s431]) ).
cnf(s437,plain,
$false,
inference(rat,[],[s44,s436,s435,s425,s432,s433]) ).
fof(f8003,plain,
$false,
inference(avatar_sat_refutation,[],[s437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC314-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:03:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.90/0.44 % (223731)Will run a generic schedule for satisfiability detection.
% 0.90/0.44 % (223736)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3188990127_2999 on theBenchmark for (2999ds/0Mi)
% 0.90/0.44 % (223737)% WARNING: option uhcvi not known.
% 0.90/0.44 % TRYING [1]
% 0.90/0.44 % TRYING [2]
% 0.90/0.44 % (223740)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2352605119:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.90/0.44 % (223737)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3450257672:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.90/0.44 % (223738)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2607162527:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.90/0.44 % (223739)dis+10_1_sil=32000:sp=arity:random_seed=3613340844:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.90/0.44 % (223741)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3230477236:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.44 % (223742)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4201422595:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.90/0.44 % TRYING [3]
% 0.90/0.44 % TRYING [4]
% 0.90/0.44 % TRYING [5]
% 0.90/0.44 % (223740)Instruction limit reached!
% 0.90/0.44 % (223740)------------------------------
% 0.90/0.44 % (223740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44 % (223740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44 % (223740)CaDiCaL version: 2.1.3
% 0.90/0.44 % (223740)Termination reason: Instruction limit
% 0.90/0.44 % (223740)Termination phase: Saturation
% 0.90/0.44 % (223740)Time elapsed: 0.061 s
% 0.90/0.44 % (223740)Peak memory usage: 13 MB
% 0.90/0.44 % (223740)Instructions burned: 116 (million)
% 0.90/0.44 % (223739)Instruction limit reached!
% 0.90/0.44 % (223739)------------------------------
% 0.90/0.44 % (223739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44 % (223739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44 % (223739)CaDiCaL version: 2.1.3
% 0.90/0.44 % (223739)Termination reason: Instruction limit
% 0.90/0.44 % (223739)Termination phase: Saturation
% 0.90/0.44 % (223739)Time elapsed: 0.062 s
% 0.90/0.44 % (223739)Peak memory usage: 13 MB
% 0.90/0.44 % (223739)Instructions burned: 104 (million)
% 0.90/0.44 % (223741)Instruction limit reached!
% 0.90/0.44 % (223741)------------------------------
% 0.90/0.44 % (223741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44 % (223741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44 % (223741)CaDiCaL version: 2.1.3
% 0.90/0.44 % (223741)Termination reason: Instruction limit
% 0.90/0.44 % (223741)Termination phase: Saturation
% 0.90/0.44 % (223741)Time elapsed: 0.070 s
% 0.90/0.44 % (223741)Peak memory usage: 14 MB
% 0.90/0.44 % (223741)Instructions burned: 135 (million)
% 0.90/0.44 % (223751)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=720557587:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.90/0.44 % (223750)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3076314351:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.90/0.44 % (223742)Instruction limit reached!
% 0.90/0.44 % (223742)------------------------------
% 0.90/0.44 % (223742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44 % (223742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44 % (223742)CaDiCaL version: 2.1.3
% 0.90/0.44 % (223742)Termination reason: Instruction limit
% 0.90/0.44 % (223742)Termination phase: Saturation
% 0.90/0.44 % (223742)Time elapsed: 0.091 s
% 0.90/0.44 % (223742)Peak memory usage: 14 MB
% 0.90/0.44 % (223742)Instructions burned: 159 (million)
% 0.90/0.44 % (223752)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=2461478492:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.90/0.44 % TRYING [1]
% 0.90/0.44 % TRYING [2]
% 0.90/0.44 % TRYING [3]
% 0.90/0.44 % (223756)ott-21_1_sil=16000:fs=off:random_seed=1241254104:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.90/0.44 % TRYING [4]
% 0.90/0.44 % TRYING [6]
% 0.90/0.44 % (223751)Instruction limit reached!
% 0.90/0.44 % (223751)------------------------------
% 0.90/0.44 % (223751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.44 % (223751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.44 % (223751)CaDiCaL version: 2.1.3
% 0.90/0.44 % (223751)Termination reason: Instruction limit
% 0.90/0.44 % (223751)Termination phase: Saturation
% 0.90/0.44 % (223751)Time elapsed: 0.070 s
% 0.90/0.44 % (223751)Peak memory usage: 13 MB
% 0.90/0.44 % (223751)Instructions burned: 133 (million)
% 0.90/0.44 % (223737) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-223731-223737"...
% 0.90/0.44 % (223737)...printing done.
% 0.90/0.44 % (223758)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=791467670:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.90/0.44 % (223737)Refutation found. Thanks to Tanya!
% 0.90/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.90/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.45 % (223737)------------------------------
% 0.90/0.45 % (223737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.45 % (223737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.45 % (223737)CaDiCaL version: 2.1.3
% 0.90/0.45 % (223737)Termination reason: Refutation
% 0.90/0.45 % (223737)Time elapsed: 0.171 s
% 0.90/0.45 % (223737)Peak memory usage: 15 MB
% 0.90/0.45 % (223737)Instructions burned: 287 (million)
% 0.90/0.45 % (223731)Success in time 0.214 s
% 0.90/0.45 % Vampire exiting
%------------------------------------------------------------------------------