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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC394-1 : 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 : n003.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 01:05:51 PM UTC 2026

% Result   : Unsatisfiable 5.77s 1.61s
% Output   : Refutation 5.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  103 (  30 unt;   7 def)
%            Number of atoms       :  279 (  17 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  338 ( 162   ~; 169   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   86 (   0 sgn  86   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,axiom,
    ! [X0,X1] : ssList(skaf48(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause48) ).

fof(f49,axiom,
    ! [X0,X1] : ssList(skaf47(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause49) ).

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause52) ).

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause53) ).

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(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(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(f152,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | memberP(app(X2,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause168) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause169) ).

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,
    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(f212,negated_conjecture,
    ( nil = sk3
    | segmentP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f215,plain,
    memberP(sk3,sk5),
    inference(definition_unfolding,[],[f207,f205]) ).

fof(f216,plain,
    ~ memberP(sk4,sk5),
    inference(definition_unfolding,[],[f208,f204]) ).

fof(f234,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(f274,plain,
    ! [X0] :
      ( memberP(nil,X0)
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ~ ssItem(X1) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f318,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ssItem(X1)
      | memberP(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X2,X0),X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ssItem(X1)
      | memberP(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f336,plain,
    ! [X0,X1] :
      ( memberP(X0,X1)
      | ssItem(X1)
      | ~ ssList(X0)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f345,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,[],[f234]) ).

fof(f352,plain,
    ~ ssItem(sk5),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f353,plain,
    ~ memberP(sk3,sk5),
    inference(consistent_polarity_flipping,[],[f215]) ).

fof(f354,plain,
    memberP(sk4,sk5),
    inference(consistent_polarity_flipping,[],[f216]) ).

fof(f358,plain,
    ( nil = sk3
    | ~ segmentP(sk4,sk3) ),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f366,definition,
    ( spl0_1
  <=> segmentP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f368,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f370,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f372,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f373,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f358,f370,f366]) ).

fof(f418,definition,
    ( spl0_12
  <=> ! [X1] : ~ ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X1] : ~ ssItem(X1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f421,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f275,f421,f418]) ).

fof(f732,plain,
    ( ~ memberP(nil,sk5)
    | ~ spl0_2 ),
    inference(superposition,[],[f353,f372]) ).

fof(f765,plain,
    ( ssItem(sk5)
    | ~ spl0_2 ),
    inference(resolution,[],[f274,f732]) ).

fof(f766,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f765,f352]) ).

fof(f767,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f766]) ).

fof(f1736,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4))
    | spl0_1 ),
    inference(resolution,[],[f335,f368]) ).

fof(f1747,plain,
    ( ~ ssList(sk4)
    | sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4))
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1736,f202]) ).

fof(f1748,plain,
    ( sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4))
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1747,f203]) ).

fof(f1755,plain,
    ( ssItem(sk5)
    | ~ ssList(sk3)
    | sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3))) ),
    inference(resolution,[],[f336,f353]) ).

fof(f1770,plain,
    ( ~ ssList(sk3)
    | sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3))) ),
    inference(forward_subsumption_resolution,[],[f1755,f352]) ).

fof(f1783,plain,
    sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3))),
    inference(forward_subsumption_resolution,[],[f1770,f202]) ).

fof(f2091,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
        | ~ ssList(X2)
        | ~ ssList(X0)
        | ssItem(X1)
        | ~ ssList(X3) )
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f345,f422]) ).

fof(f2178,definition,
    ( spl0_60
  <=> ! [X3] : ~ ssList(X3) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f2179,plain,
    ( ! [X3] : ~ ssList(X3)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f2178]) ).

fof(f2181,definition,
    ( spl0_61
  <=> ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X1,cons(X2,X0)))
        | ssItem(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f2182,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(app(X1,cons(X2,X0)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ssItem(X2) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f2181]) ).

fof(f2219,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(app(X0,X2),X1)
        | ~ ssList(X2)
        | ~ ssList(X0)
        | memberP(X0,X1) )
    | ~ spl0_12 ),
    inference(backward_subsumption_resolution,[],[f318,f419]) ).

fof(f2220,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(app(X2,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(X2)
        | memberP(X0,X1) )
    | ~ spl0_12 ),
    inference(backward_subsumption_resolution,[],[f319,f419]) ).

fof(f4427,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ssItem(X2)
        | ~ ssList(X3)
        | ~ ssList(app(X1,cons(X2,X0)))
        | ~ ssList(cons(X2,X3)) )
    | ~ spl0_13 ),
    inference(resolution,[],[f2091,f85]) ).

fof(f4456,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ssItem(X2)
        | ~ ssList(X3)
        | ~ ssList(app(X1,cons(X2,X0))) )
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f4427,f280]) ).

fof(f4471,plain,
    ( spl0_60
    | spl0_61
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f4456,f421,f2181,f2178]) ).

fof(f5336,definition,
    ( spl0_163
  <=> ssList(app(skaf47(sk4,sk3),sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f5337,plain,
    ( ssList(app(skaf47(sk4,sk3),sk3))
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f5336]) ).

fof(f5338,plain,
    ( ~ ssList(app(skaf47(sk4,sk3),sk3))
    | spl0_163 ),
    inference(avatar_component_clause,[],[f5336]) ).

fof(f6043,plain,
    ( $false
    | ~ spl0_60 ),
    inference(backward_subsumption_resolution,[],[f203,f2179]) ).

fof(f6079,plain,
    ~ spl0_60,
    inference(avatar_contradiction_clause,[],[f6043]) ).

fof(f11748,plain,
    ( ~ ssList(skaf47(sk4,sk3))
    | ~ ssList(sk3)
    | spl0_163 ),
    inference(resolution,[],[f5338,f85]) ).

fof(f11749,plain,
    ( ~ ssList(sk3)
    | spl0_163 ),
    inference(forward_subsumption_resolution,[],[f11748,f49]) ).

fof(f11750,plain,
    ( $false
    | spl0_163 ),
    inference(forward_subsumption_resolution,[],[f11749,f202]) ).

fof(f11751,plain,
    spl0_163,
    inference(avatar_contradiction_clause,[],[f11750]) ).

fof(f12804,plain,
    ( ~ ssList(sk3)
    | ~ ssList(skaf42(sk3,sk5))
    | ~ ssList(skaf43(sk5,sk3))
    | ssItem(sk5)
    | ~ spl0_61 ),
    inference(superposition,[],[f2182,f1783]) ).

fof(f12806,plain,
    ( ~ ssList(skaf42(sk3,sk5))
    | ~ ssList(skaf43(sk5,sk3))
    | ssItem(sk5)
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[],[f12804,f202]) ).

fof(f12813,plain,
    ( ~ ssList(skaf43(sk5,sk3))
    | ssItem(sk5)
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[],[f12806,f53]) ).

fof(f12823,plain,
    ( ssItem(sk5)
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[],[f12813,f52]) ).

fof(f12824,plain,
    ( $false
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[],[f12823,f352]) ).

fof(f12825,plain,
    ~ spl0_61,
    inference(avatar_contradiction_clause,[],[f12824]) ).

fof(f14063,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | ~ ssList(skaf48(sk3,sk4))
        | ~ ssList(app(skaf47(sk4,sk3),sk3))
        | memberP(app(skaf47(sk4,sk3),sk3),X0) )
    | spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f2219,f1748]) ).

fof(f14080,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | ~ ssList(app(skaf47(sk4,sk3),sk3))
        | memberP(app(skaf47(sk4,sk3),sk3),X0) )
    | spl0_1
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f14063,f48]) ).

fof(f14084,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | memberP(app(skaf47(sk4,sk3),sk3),X0) )
    | spl0_1
    | ~ spl0_12
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f14080,f5337]) ).

fof(f53123,plain,
    ( memberP(app(skaf47(sk4,sk3),sk3),sk5)
    | spl0_1
    | ~ spl0_12
    | ~ spl0_163 ),
    inference(resolution,[],[f14084,f354]) ).

fof(f53129,plain,
    ( ~ ssList(sk3)
    | ~ ssList(skaf47(sk4,sk3))
    | memberP(sk3,sk5)
    | spl0_1
    | ~ spl0_12
    | ~ spl0_163 ),
    inference(resolution,[],[f53123,f2220]) ).

fof(f53148,plain,
    ( ~ ssList(skaf47(sk4,sk3))
    | memberP(sk3,sk5)
    | spl0_1
    | ~ spl0_12
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f53129,f202]) ).

fof(f53150,plain,
    ( memberP(sk3,sk5)
    | spl0_1
    | ~ spl0_12
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f53148,f49]) ).

fof(f53151,plain,
    ( $false
    | spl0_1
    | ~ spl0_12
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f53150,f353]) ).

fof(f53152,plain,
    ( spl0_1
    | ~ spl0_12
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f53151]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s11,plain,
    ( spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s24,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f767]) ).

cnf(s184,plain,
    ( ~ spl0_13
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f4471]) ).

cnf(s285,plain,
    ~ spl0_60,
    inference(sat_conversion,[],[f6079]) ).

cnf(s463,plain,
    spl0_163,
    inference(sat_conversion,[],[f11751]) ).

cnf(s517,plain,
    ~ spl0_61,
    inference(sat_conversion,[],[f12825]) ).

cnf(s1613,plain,
    ( spl0_1
    | ~ spl0_12
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f53152]) ).

cnf(s1697,plain,
    ~ spl0_13,
    inference(rat,[],[s184,s517,s285]) ).

cnf(s1772,plain,
    spl0_12,
    inference(rat,[],[s11,s1697]) ).

cnf(s1773,plain,
    spl0_1,
    inference(rat,[],[s1613,s463,s1772]) ).

cnf(s1918,plain,
    $false,
    inference(rat,[],[s1,s24,s1773]) ).

fof(f53153,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1918]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC394-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n003.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 09:28:57 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
% 5.77/1.61  % (1458965)Will run a generic schedule for satisfiability detection.
% 5.77/1.61  % (1458972)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3134012834:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.77/1.61  % (1458971)% WARNING: option uhcvi not known.
% 5.77/1.61  % (1458970)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1067147099_2999 on theBenchmark for (2999ds/0Mi)
% 5.77/1.61  % (1458971)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1838770897:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.77/1.61  % (1458973)dis+10_1_sil=32000:sp=arity:random_seed=440711667:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.77/1.61  % (1458974)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1416118486:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.77/1.61  % (1458975)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3469284068:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.77/1.61  % (1458976)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=795337942:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.77/1.61  % TRYING [1]
% 5.77/1.61  % TRYING [2]
% 5.77/1.61  % TRYING [3]
% 5.77/1.61  % TRYING [4]
% 5.77/1.61  % (1458973)Instruction limit reached! 
% 5.77/1.61  % (1458973)------------------------------
% 5.77/1.61  % (1458973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458973)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458973)Termination reason: Instruction limit
% 5.77/1.61  % (1458973)Termination phase: Saturation
% 5.77/1.61  % (1458973)Time elapsed: 0.059 s
% 5.77/1.61  % (1458973)Peak memory usage: 13 MB
% 5.77/1.61  % (1458973)Instructions burned: 104 (million)
% 5.77/1.61  % (1458974)Instruction limit reached! 
% 5.77/1.61  % (1458974)------------------------------
% 5.77/1.61  % (1458974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458974)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458974)Termination reason: Instruction limit
% 5.77/1.61  % (1458974)Termination phase: Saturation
% 5.77/1.61  % (1458974)Time elapsed: 0.060 s
% 5.77/1.61  % (1458974)Peak memory usage: 13 MB
% 5.77/1.61  % (1458974)Instructions burned: 117 (million)
% 5.77/1.61  % (1458975)Instruction limit reached! 
% 5.77/1.61  % (1458975)------------------------------
% 5.77/1.61  % (1458975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458975)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458975)Termination reason: Instruction limit
% 5.77/1.61  % (1458975)Termination phase: Saturation
% 5.77/1.61  % (1458975)Time elapsed: 0.066 s
% 5.77/1.61  % (1458975)Peak memory usage: 14 MB
% 5.77/1.61  % (1458975)Instructions burned: 131 (million)
% 5.77/1.61  % (1458984)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=556993564:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.77/1.61  % (1458985)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2933219798:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.77/1.61  % (1458986)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=3035268240:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.77/1.61  % (1458976)Instruction limit reached! 
% 5.77/1.61  % (1458976)------------------------------
% 5.77/1.61  % (1458976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458976)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458976)Termination reason: Instruction limit
% 5.77/1.61  % (1458976)Termination phase: Saturation
% 5.77/1.61  % (1458976)Time elapsed: 0.086 s
% 5.77/1.61  % (1458976)Peak memory usage: 14 MB
% 5.77/1.61  % (1458976)Instructions burned: 160 (million)
% 5.77/1.61  % TRYING [1]
% 5.77/1.61  % TRYING [2]
% 5.77/1.61  % TRYING [3]
% 5.77/1.61  % TRYING [5]
% 5.77/1.61  % (1458990)ott-21_1_sil=16000:fs=off:random_seed=1378706562:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.77/1.61  % TRYING [4]
% 5.77/1.61  % (1458985)Instruction limit reached! 
% 5.77/1.61  % (1458985)------------------------------
% 5.77/1.61  % (1458985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458985)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458985)Termination reason: Instruction limit
% 5.77/1.61  % (1458985)Termination phase: Saturation
% 5.77/1.61  % (1458985)Time elapsed: 0.071 s
% 5.77/1.61  % (1458985)Peak memory usage: 14 MB
% 5.77/1.61  % (1458985)Instructions burned: 131 (million)
% 5.77/1.61  % (1458992)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1895842470:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.77/1.61  % TRYING [5]
% 5.77/1.61  % (1458990)Instruction limit reached! 
% 5.77/1.61  % (1458990)------------------------------
% 5.77/1.61  % (1458990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458990)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458990)Termination reason: Instruction limit
% 5.77/1.61  % (1458990)Termination phase: Saturation
% 5.77/1.61  % (1458990)Time elapsed: 0.091 s
% 5.77/1.61  % (1458990)Peak memory usage: 13 MB
% 5.77/1.61  % (1458990)Instructions burned: 181 (million)
% 5.77/1.61  % (1458994)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1837842463:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.77/1.61  % TRYING [1]
% 5.77/1.61  % TRYING [2]
% 5.77/1.61  % TRYING [3]
% 5.77/1.61  % TRYING [6]
% 5.77/1.61  % TRYING [4]
% 5.77/1.61  % TRYING [6]
% 5.77/1.61  % (1458984)Instruction limit reached! 
% 5.77/1.61  % (1458984)------------------------------
% 5.77/1.61  % (1458984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458984)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458984)Termination reason: Instruction limit
% 5.77/1.61  % (1458984)Termination phase: Finite model building constraint generation
% 5.77/1.61  % (1458984)Time elapsed: 0.282 s
% 5.77/1.61  % (1458984)Peak memory usage: 36 MB
% 5.77/1.61  % (1458984)Instructions burned: 717 (million)
% 5.77/1.61  % TRYING [5]
% 5.77/1.61  % (1458996)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1870011696:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.77/1.61  % (1458986)Instruction limit reached! 
% 5.77/1.61  % (1458986)------------------------------
% 5.77/1.61  % (1458986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458986)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458986)Termination reason: Instruction limit
% 5.77/1.61  % (1458986)Termination phase: Saturation
% 5.77/1.61  % (1458986)Time elapsed: 0.385 s
% 5.77/1.61  % (1458986)Peak memory usage: 18 MB
% 5.77/1.61  % (1458986)Instructions burned: 685 (million)
% 5.77/1.61  % (1458992)Instruction limit reached! 
% 5.77/1.61  % (1458992)------------------------------
% 5.77/1.61  % (1458992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458998)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=558495111:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.77/1.61  % (1458992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458992)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458992)Termination reason: Instruction limit
% 5.77/1.61  % (1458992)Termination phase: Saturation
% 5.77/1.61  % (1458992)Time elapsed: 0.320 s
% 5.77/1.61  % (1458992)Peak memory usage: 14 MB
% 5.77/1.61  % (1458992)Instructions burned: 478 (million)
% 5.77/1.61  % (1459000)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=1546248825: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)
% 5.77/1.61  % (1458994)Instruction limit reached! 
% 5.77/1.61  % (1458994)------------------------------
% 5.77/1.61  % (1458994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458994)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458994)Termination reason: Instruction limit
% 5.77/1.61  % (1458994)Termination phase: Finite model building SAT solving
% 5.77/1.61  % (1458994)Time elapsed: 0.346 s
% 5.77/1.61  % (1458994)Peak memory usage: 23 MB
% 5.77/1.61  % (1458994)Instructions burned: 867 (million)
% 5.77/1.61  % (1459002)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2535981387:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 5.77/1.61  % TRYING [14]
% 5.77/1.61  % TRYING [7]
% 5.77/1.61  % (1458998)Instruction limit reached! 
% 5.77/1.61  % (1458998)------------------------------
% 5.77/1.61  % (1458998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458998)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458998)Termination reason: Instruction limit
% 5.77/1.61  % (1458998)Termination phase: Finite model building constraint generation
% 5.77/1.61  % (1458998)Time elapsed: 0.324 s
% 5.77/1.61  % (1458998)Peak memory usage: 73 MB
% 5.77/1.61  % (1458998)Instructions burned: 892 (million)
% 5.77/1.61  % (1459004)fmb+10_1_sil=64000:random_seed=1471168383:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 5.77/1.61  % TRYING [1]
% 5.77/1.61  % TRYING [2]
% 5.77/1.61  % TRYING [3]
% 5.77/1.61  % (1459000)Instruction limit reached! 
% 5.77/1.61  % (1459000)------------------------------
% 5.77/1.61  % (1459000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1459000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1459000)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1459000)Termination reason: Instruction limit
% 5.77/1.61  % (1459000)Termination phase: Saturation
% 5.77/1.61  % (1459000)Time elapsed: 0.378 s
% 5.77/1.61  % (1459000)Peak memory usage: 19 MB
% 5.77/1.61  % (1459000)Instructions burned: 692 (million)
% 5.77/1.61  % (1459006)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2082913369:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 5.77/1.61  % TRYING [4]
% 5.77/1.61  % TRYING [20]
% 5.77/1.61  % (1458996)Instruction limit reached! 
% 5.77/1.61  % (1458996)------------------------------
% 5.77/1.61  % (1458996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458996)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458996)Termination reason: Instruction limit
% 5.77/1.61  % (1458996)Termination phase: Saturation
% 5.77/1.61  % (1458996)Time elapsed: 0.660 s
% 5.77/1.61  % (1458996)Peak memory usage: 28 MB
% 5.77/1.61  % (1458996)Instructions burned: 1179 (million)
% 5.77/1.61  % (1459002)Instruction limit reached! 
% 5.77/1.61  % (1459002)------------------------------
% 5.77/1.61  % (1459002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1459002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1459002)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1459002)Termination reason: Instruction limit
% 5.77/1.61  % (1459002)Termination phase: Saturation
% 5.77/1.61  % (1459002)Time elapsed: 0.458 s
% 5.77/1.61  % (1459002)Peak memory usage: 21 MB
% 5.77/1.61  % (1459002)Instructions burned: 880 (million)
% 5.77/1.61  % (1459008)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=245600517:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 5.77/1.61  % (1459009)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4151793222:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 5.77/1.61  % TRYING [5]
% 5.77/1.61  % TRYING [8]
% 5.77/1.61  % (1458971) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1458965-1458971"...
% 5.77/1.61  % (1458971)...printing done.
% 5.77/1.61  % (1458971)Refutation found. Thanks to Tanya!
% 5.77/1.61  % SZS status Unsatisfiable for theBenchmark
% 5.77/1.61  % SZS output start Proof for theBenchmark
% See solution above
% 5.77/1.61  % (1458971)------------------------------
% 5.77/1.61  % (1458971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.61  % (1458971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.61  % (1458971)CaDiCaL version: 2.1.3
% 5.77/1.61  % (1458971)Termination reason: Refutation
% 5.77/1.61  % (1458971)Time elapsed: 1.314 s
% 5.77/1.61  % (1458971)Peak memory usage: 35 MB
% 5.77/1.61  % (1458971)Instructions burned: 2433 (million)
% 5.77/1.61  % (1458965)Success in time 1.376 s
% 5.77/1.61  % Vampire exiting
%------------------------------------------------------------------------------