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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC324-1 : 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 : n012.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 01:05:33 PM UTC 2026

% Result   : Unsatisfiable 8.18s 1.37s
% Output   : Refutation 8.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  108 (  22 unt;   9 def)
%            Number of atoms       :  315 (  56 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  411 ( 204   ~; 198   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   83 (   0 sgn  83   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause9) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).

fof(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] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

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(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(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,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != sk2
      | app(X1,X0) != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(X1,cons(X0,nil)) = sk3
      | app(cons(X0,nil),X1) != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | sk3 = app(X1,cons(X0,nil))
      | app(cons(X0,nil),X1) != sk4 ),
    inference(reorient_equations,[],[f207]) ).

fof(f209,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f212,plain,
    ! [X0,X1] :
      ( app(X1,X0) != sk3
      | ~ ssList(X1)
      | app(X0,X1) != sk4
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f206,f204,f205]) ).

fof(f230,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(X3) ),
    inference(equality_resolution,[],[f193]) ).

fof(f244,definition,
    ( spl0_1
  <=> ! [X0] : ~ ssList(X0) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X0] : ~ ssList(X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f256,definition,
    ( spl0_5
  <=> ! [X0] : ~ ssItem(X0) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f257,plain,
    ( ! [X0] : ~ ssItem(X0)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f202,f245]) ).

fof(f259,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f258]) ).

fof(f264,definition,
    ( spl0_7
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f265,plain,
    ( nil = sk4
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( nil != sk4
    | spl0_7 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f272,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f9,f257]) ).

fof(f273,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f272]) ).

fof(f352,definition,
    ( spl0_34
  <=> ! [X1] : ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f358,definition,
    ( spl0_36
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f360,plain,
    ( spl0_34
    | spl0_36 ),
    inference(avatar_split_clause,[],[f72,f358,f352]) ).

fof(f395,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f203]) ).

fof(f405,plain,
    ( sk3 != sk4
    | ~ ssList(sk4)
    | sk4 != app(nil,sk4)
    | ~ ssList(nil) ),
    inference(superposition,[],[f212,f395]) ).

fof(f406,plain,
    ( sk3 != sk4
    | sk4 != app(nil,sk4)
    | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f405,f203]) ).

fof(f407,plain,
    ( sk3 != sk4
    | sk4 != app(nil,sk4) ),
    inference(forward_subsumption_resolution,[],[f406,f8]) ).

fof(f409,definition,
    ( spl0_38
  <=> sk4 = app(nil,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f413,definition,
    ( spl0_39
  <=> sk3 = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f415,plain,
    ( sk3 != sk4
    | spl0_39 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f407,f413,f409]) ).

fof(f558,plain,
    sk4 = app(nil,sk4),
    inference(resolution,[],[f74,f203]) ).

fof(f573,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f558,f409]) ).

fof(f1040,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(cons(X1,X3))
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(X3) ),
    inference(resolution,[],[f85,f230]) ).

fof(f1588,plain,
    ! [X2,X3,X0,X1] :
      ( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X3) ),
    inference(forward_subsumption_resolution,[],[f1040,f86]) ).

fof(f1619,definition,
    ( spl0_113
  <=> ! [X2,X0,X1] :
        ( ~ ssList(app(X0,cons(X1,X2)))
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssList(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f1620,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(app(X0,cons(X1,X2)))
        | ~ ssItem(X1)
        | ~ ssList(X0)
        | ~ ssList(X2) )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f1619]) ).

fof(f1622,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ ssList(cons(X0,X2)) )
    | ~ spl0_113 ),
    inference(resolution,[],[f1620,f85]) ).

fof(f1623,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(cons(X0,X2)) )
    | ~ spl0_113 ),
    inference(duplicate_literal_removal,[],[f1622]) ).

fof(f1624,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ ssList(X2) )
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1623,f86]) ).

fof(f1625,plain,
    ( spl0_1
    | spl0_1
    | spl0_5
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1624,f1619,f256,f244,f244]) ).

fof(f1655,plain,
    ( ! [X0,X1] :
        ( duplicatefreeP(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl0_36 ),
    inference(resolution,[],[f359,f85]) ).

fof(f1664,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(app(X0,cons(X1,X2)))
        | ~ ssList(cons(X1,X3))
        | ~ ssList(X2)
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(app(X0,cons(X1,X2)))
        | ~ ssList(X3) )
    | ~ spl0_36 ),
    inference(resolution,[],[f1655,f1588]) ).

fof(f1692,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(app(X0,cons(X1,X2)))
        | ~ ssList(cons(X1,X3))
        | ~ ssList(X2)
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X3) )
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f1664]) ).

fof(f1693,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(app(X0,cons(X1,X2)))
        | ~ ssList(X2)
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X3) )
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f1692,f86]) ).

fof(f1707,plain,
    ( spl0_1
    | spl0_113
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1693,f358,f1619,f244]) ).

fof(f3250,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk4
        | sk3 = app(X1,cons(X0,nil))
        | ~ ssList(X1) )
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f208,f353]) ).

fof(f3996,definition,
    ( spl0_144
  <=> ssList(tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f3997,plain,
    ( ssList(tl(sk4))
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f3996]) ).

fof(f3998,plain,
    ( ~ ssList(tl(sk4))
    | spl0_144 ),
    inference(avatar_component_clause,[],[f3996]) ).

fof(f4006,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_144 ),
    inference(resolution,[],[f3998,f75]) ).

fof(f4007,plain,
    ( nil = sk4
    | spl0_144 ),
    inference(forward_subsumption_resolution,[],[f4006,f203]) ).

fof(f4008,plain,
    ( $false
    | spl0_7
    | spl0_144 ),
    inference(forward_subsumption_resolution,[],[f4007,f266]) ).

fof(f4009,plain,
    ( spl0_7
    | spl0_144 ),
    inference(avatar_contradiction_clause,[],[f4008]) ).

fof(f4157,plain,
    ( nil != sk3
    | ~ spl0_7
    | spl0_39 ),
    inference(superposition,[],[f415,f265]) ).

fof(f4167,plain,
    ( $false
    | ~ spl0_7
    | spl0_39 ),
    inference(global_subsumption,[],[f4157,f265,f209]) ).

fof(f4168,plain,
    ( ~ spl0_7
    | spl0_39 ),
    inference(avatar_contradiction_clause,[],[f4167]) ).

fof(f4713,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4 ),
    inference(resolution,[],[f107,f203]) ).

fof(f4714,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f4713,f266]) ).

fof(f28571,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | cons(X0,X1) = app(cons(X0,nil),X1) )
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f126,f353]) ).

fof(f28692,plain,
    ( ! [X0] : cons(X0,tl(sk4)) = app(cons(X0,nil),tl(sk4))
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(resolution,[],[f28571,f3997]) ).

fof(f51284,plain,
    ( ! [X0] :
        ( sk4 != cons(X0,tl(sk4))
        | sk3 = app(tl(sk4),cons(X0,nil))
        | ~ ssList(tl(sk4)) )
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(superposition,[],[f3250,f28692]) ).

fof(f51315,plain,
    ( ! [X0] :
        ( sk4 != cons(X0,tl(sk4))
        | sk3 = app(tl(sk4),cons(X0,nil)) )
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f51284,f3997]) ).

fof(f54962,plain,
    ( sk4 != sk4
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(superposition,[],[f51315,f4714]) ).

fof(f54963,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(trivial_inequality_removal,[],[f54962]) ).

fof(f55302,plain,
    ( sk3 != sk3
    | ~ ssList(tl(sk4))
    | sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(superposition,[],[f212,f54963]) ).

fof(f55303,plain,
    ( ~ ssList(tl(sk4))
    | sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(trivial_inequality_removal,[],[f55302]) ).

fof(f55305,plain,
    ( sk4 != app(cons(hd(sk4),nil),tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f55303,f3997]) ).

fof(f55309,plain,
    ( sk4 != cons(hd(sk4),tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(forward_demodulation,[],[f55305,f28692]) ).

fof(f55311,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f55309,f4714]) ).

fof(f55312,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(resolution,[],[f55311,f86]) ).

fof(f55313,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f55312,f8]) ).

fof(f55314,plain,
    ( $false
    | spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(forward_subsumption_resolution,[],[f55313,f353]) ).

fof(f55315,plain,
    ( spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(avatar_contradiction_clause,[],[f55314]) ).

cnf(s207,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f259]) ).

cnf(s227,plain,
    ~ spl0_5,
    inference(sat_conversion,[],[f273]) ).

cnf(s357,plain,
    ( spl0_34
    | spl0_36 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s404,plain,
    ( ~ spl0_38
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s534,plain,
    spl0_38,
    inference(sat_conversion,[],[f573]) ).

cnf(s1089,plain,
    ( spl0_1
    | spl0_1
    | spl0_5
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s1090,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_113 ),
    inference(rat,[],[s1089]) ).

cnf(s1178,plain,
    ( spl0_1
    | ~ spl0_36
    | spl0_113 ),
    inference(sat_conversion,[],[f1707]) ).

cnf(s2218,plain,
    ( spl0_7
    | spl0_144 ),
    inference(sat_conversion,[],[f4009]) ).

cnf(s2332,plain,
    ( ~ spl0_7
    | spl0_39 ),
    inference(sat_conversion,[],[f4168]) ).

cnf(s27590,plain,
    ( spl0_7
    | ~ spl0_34
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f55315]) ).

cnf(s27594,plain,
    ~ spl0_39,
    inference(rat,[],[s404,s534]) ).

cnf(s27595,plain,
    ~ spl0_7,
    inference(rat,[],[s2332,s27594]) ).

cnf(s27602,plain,
    spl0_144,
    inference(rat,[],[s2218,s27595]) ).

cnf(s27604,plain,
    ~ spl0_34,
    inference(rat,[],[s27590,s27595,s27602]) ).

cnf(s27605,plain,
    spl0_36,
    inference(rat,[],[s357,s27604]) ).

cnf(s27615,plain,
    spl0_113,
    inference(rat,[],[s1178,s27605,s207]) ).

cnf(s27619,plain,
    $false,
    inference(rat,[],[s1090,s227,s27615,s207]) ).

fof(f55316,plain,
    $false,
    inference(avatar_sat_refutation,[],[s27619]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWC324-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 09:05:04 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.12  Running first-order model finding
% 0.07/0.12  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
% 8.18/1.30  % (3248844)Will run a generic schedule for satisfiability detection.
% 8.18/1.30  % (3248850)% WARNING: option uhcvi not known.
% 8.18/1.30  % (3248849)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2365365419_2999 on theBenchmark for (2999ds/0Mi)
% 8.18/1.30  % (3248850)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3574575472:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.18/1.30  % (3248852)dis+10_1_sil=32000:sp=arity:random_seed=1830009952:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.18/1.30  % (3248851)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3097710079:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.18/1.30  % (3248854)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2724705874:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.18/1.30  % (3248853)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3229402464:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.18/1.30  % (3248855)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1516258918:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.18/1.30  % TRYING [1]
% 8.18/1.30  % TRYING [2]
% 8.18/1.30  % TRYING [3]
% 8.18/1.30  % TRYING [4]
% 8.18/1.30  % (3248852)Instruction limit reached! 
% 8.18/1.30  % (3248852)------------------------------
% 8.18/1.30  % (3248852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.30  % (3248852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.30  % (3248852)CaDiCaL version: 2.1.3
% 8.18/1.30  % (3248852)Termination reason: Instruction limit
% 8.18/1.30  % (3248852)Termination phase: Saturation
% 8.18/1.30  % (3248852)Time elapsed: 0.032 s
% 8.18/1.30  % (3248852)Peak memory usage: 13 MB
% 8.18/1.30  % (3248852)Instructions burned: 105 (million)
% 8.18/1.30  % (3248853)Instruction limit reached! 
% 8.18/1.30  % (3248853)------------------------------
% 8.18/1.30  % (3248853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.30  % (3248853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.30  % (3248853)CaDiCaL version: 2.1.3
% 8.18/1.30  % (3248853)Termination reason: Instruction limit
% 8.18/1.30  % (3248853)Termination phase: Saturation
% 8.18/1.30  % (3248853)Time elapsed: 0.032 s
% 8.18/1.30  % (3248853)Peak memory usage: 13 MB
% 8.18/1.30  % (3248853)Instructions burned: 117 (million)
% 8.18/1.30  % (3248854)Instruction limit reached! 
% 8.18/1.30  % (3248854)------------------------------
% 8.18/1.30  % (3248854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.30  % (3248854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.30  % (3248854)CaDiCaL version: 2.1.3
% 8.18/1.30  % (3248854)Termination reason: Instruction limit
% 8.18/1.30  % (3248854)Termination phase: Saturation
% 8.18/1.30  % (3248854)Time elapsed: 0.038 s
% 8.18/1.30  % (3248854)Peak memory usage: 14 MB
% 8.18/1.30  % (3248854)Instructions burned: 134 (million)
% 8.18/1.30  % (3248863)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3640183083:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.18/1.30  % (3248864)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3391170879:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.18/1.30  % (3248855)Instruction limit reached! 
% 8.18/1.30  % (3248855)------------------------------
% 8.18/1.30  % (3248855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.30  % (3248855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.30  % (3248855)CaDiCaL version: 2.1.3
% 8.18/1.30  % (3248855)Termination reason: Instruction limit
% 8.18/1.30  % (3248855)Termination phase: Saturation
% 8.18/1.30  % (3248855)Time elapsed: 0.048 s
% 8.18/1.30  % (3248855)Peak memory usage: 14 MB
% 8.18/1.30  % (3248855)Instructions burned: 160 (million)
% 8.18/1.30  % (3248865)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=1610841663:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 8.18/1.30  % TRYING [1]
% 8.18/1.30  % TRYING [2]
% 8.18/1.30  % TRYING [3]
% 8.18/1.30  % TRYING [5]
% 8.18/1.30  % (3248869)ott-21_1_sil=16000:fs=off:random_seed=960759053:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 8.18/1.30  % TRYING [4]
% 8.18/1.30  % (3248864)Instruction limit reached! 
% 8.18/1.30  % (3248864)------------------------------
% 8.18/1.30  % (3248864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248864)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248864)Termination reason: Instruction limit
% 8.18/1.37  % (3248864)Termination phase: Saturation
% 8.18/1.37  % (3248864)Time elapsed: 0.038 s
% 8.18/1.37  % (3248864)Peak memory usage: 13 MB
% 8.18/1.37  % (3248864)Instructions burned: 132 (million)
% 8.18/1.37  % (3248871)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=171497337:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.18/1.37  % TRYING [5]
% 8.18/1.37  % (3248869)Instruction limit reached! 
% 8.18/1.37  % (3248869)------------------------------
% 8.18/1.37  % (3248869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248869)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248869)Termination reason: Instruction limit
% 8.18/1.37  % (3248869)Termination phase: Saturation
% 8.18/1.37  % (3248869)Time elapsed: 0.049 s
% 8.18/1.37  % (3248869)Peak memory usage: 14 MB
% 8.18/1.37  % (3248869)Instructions burned: 183 (million)
% 8.18/1.37  % (3248873)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=72937316:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.18/1.37  % TRYING [1]
% 8.18/1.37  % TRYING [2]
% 8.18/1.37  % TRYING [3]
% 8.18/1.37  % TRYING [6]
% 8.18/1.37  % TRYING [4]
% 8.18/1.37  % TRYING [6]
% 8.18/1.37  % (3248863)Instruction limit reached! 
% 8.18/1.37  % (3248863)------------------------------
% 8.18/1.37  % (3248863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248863)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248863)Termination reason: Instruction limit
% 8.18/1.37  % (3248863)Termination phase: Finite model building constraint generation
% 8.18/1.37  % (3248863)Time elapsed: 0.154 s
% 8.18/1.37  % (3248863)Peak memory usage: 36 MB
% 8.18/1.37  % (3248863)Instructions burned: 714 (million)
% 8.18/1.37  % TRYING [5]
% 8.18/1.37  % (3248875)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3526259484:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.18/1.37  % (3248871)Instruction limit reached! 
% 8.18/1.37  % (3248871)------------------------------
% 8.18/1.37  % (3248871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248871)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248871)Termination reason: Instruction limit
% 8.18/1.37  % (3248871)Termination phase: Saturation
% 8.18/1.37  % (3248871)Time elapsed: 0.162 s
% 8.18/1.37  % (3248871)Peak memory usage: 14 MB
% 8.18/1.37  % (3248871)Instructions burned: 479 (million)
% 8.18/1.37  % (3248865)Instruction limit reached! 
% 8.18/1.37  % (3248865)------------------------------
% 8.18/1.37  % (3248865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248865)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248865)Termination reason: Instruction limit
% 8.18/1.37  % (3248865)Termination phase: Saturation
% 8.18/1.37  % (3248865)Time elapsed: 0.212 s
% 8.18/1.37  % (3248865)Peak memory usage: 19 MB
% 8.18/1.37  % (3248865)Instructions burned: 685 (million)
% 8.18/1.37  % (3248877)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3471754295:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 8.18/1.37  % (3248878)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=685762131:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 8.18/1.37  % (3248873)Instruction limit reached! 
% 8.18/1.37  % (3248873)------------------------------
% 8.18/1.37  % (3248873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248873)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248873)Termination reason: Instruction limit
% 8.18/1.37  % (3248873)Termination phase: Finite model building SAT solving
% 8.18/1.37  % (3248873)Time elapsed: 0.185 s
% 8.18/1.37  % (3248873)Peak memory usage: 23 MB
% 8.18/1.37  % (3248873)Instructions burned: 871 (million)
% 8.18/1.37  % (3248881)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=879344057:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 8.18/1.37  % TRYING [14]
% 8.18/1.37  % TRYING [7]
% 8.18/1.37  % (3248877)Instruction limit reached! 
% 8.18/1.37  % (3248877)------------------------------
% 8.18/1.37  % (3248877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248877)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248877)Termination reason: Instruction limit
% 8.18/1.37  % (3248877)Termination phase: Finite model building constraint generation
% 8.18/1.37  % (3248877)Time elapsed: 0.179 s
% 8.18/1.37  % (3248877)Peak memory usage: 73 MB
% 8.18/1.37  % (3248877)Instructions burned: 892 (million)
% 8.18/1.37  % (3248883)fmb+10_1_sil=64000:random_seed=2826298728:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 8.18/1.37  % TRYING [1]
% 8.18/1.37  % TRYING [2]
% 8.18/1.37  % (3248878)Instruction limit reached! 
% 8.18/1.37  % (3248878)------------------------------
% 8.18/1.37  % (3248878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248878)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248878)Termination reason: Instruction limit
% 8.18/1.37  % (3248878)Termination phase: Saturation
% 8.18/1.37  % (3248878)Time elapsed: 0.204 s
% 8.18/1.37  % (3248878)Peak memory usage: 21 MB
% 8.18/1.37  % (3248878)Instructions burned: 696 (million)
% 8.18/1.37  % TRYING [3]
% 8.18/1.37  % (3248885)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1385369938:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 8.18/1.37  % TRYING [20]
% 8.18/1.37  % TRYING [4]
% 8.18/1.37  % (3248881)Instruction limit reached! 
% 8.18/1.37  % (3248881)------------------------------
% 8.18/1.37  % (3248881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248881)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248881)Termination reason: Instruction limit
% 8.18/1.37  % (3248881)Termination phase: Saturation
% 8.18/1.37  % (3248881)Time elapsed: 0.246 s
% 8.18/1.37  % (3248881)Peak memory usage: 21 MB
% 8.18/1.37  % (3248881)Instructions burned: 879 (million)
% 8.18/1.37  % (3248875)Instruction limit reached! 
% 8.18/1.37  % (3248875)------------------------------
% 8.18/1.37  % (3248875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248875)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248875)Termination reason: Instruction limit
% 8.18/1.37  % (3248875)Termination phase: Saturation
% 8.18/1.37  % (3248875)Time elapsed: 0.359 s
% 8.18/1.37  % (3248875)Peak memory usage: 29 MB
% 8.18/1.37  % (3248875)Instructions burned: 1179 (million)
% 8.18/1.37  % (3248887)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1391874055:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 8.18/1.37  % TRYING [8]
% 8.18/1.37  % (3248888)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3746224324:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 8.18/1.37  % TRYING [5]
% 8.18/1.37  % (3248887)Instruction limit reached! 
% 8.18/1.37  % (3248887)------------------------------
% 8.18/1.37  % (3248887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248887)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248887)Termination reason: Instruction limit
% 8.18/1.37  % (3248887)Termination phase: Finite model building constraint generation
% 8.18/1.37  % (3248887)Time elapsed: 0.184 s
% 8.18/1.37  % (3248887)Peak memory usage: 79 MB
% 8.18/1.37  % (3248887)Instructions burned: 921 (million)
% 8.18/1.37  % (3248891)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1996840229:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 8.18/1.37  % TRYING [6]
% 8.18/1.37  % TRYING [8]
% 8.18/1.37  % (3248891)Instruction limit reached! 
% 8.18/1.37  % (3248891)------------------------------
% 8.18/1.37  % (3248891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.37  % (3248891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.37  % (3248891)CaDiCaL version: 2.1.3
% 8.18/1.37  % (3248891)Termination reason: Instruction limit
% 8.18/1.37  % (3248891)Termination phase: Saturation
% 8.18/1.37  % (3248891)Time elapsed: 0.361 s
% 8.18/1.37  % (3248891)Peak memory usage: 16 MB
% 8.18/1.37  % (3248891)Instructions burned: 1476 (million)
% 8.18/1.37  % (3248893)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2658839725:i=6324_2988 on theBenchmark for (2988ds/6324Mi)
% 8.18/1.37  % TRYING [77]
% 8.18/1.37  % (3248851) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3248844-3248851"...
% 8.18/1.37  % (3248851)...printing done.
% 8.18/1.37  % (3248851)Refutation found. Thanks to Tanya!
% 8.18/1.37  % SZS status Unsatisfiable for theBenchmark
% 8.18/1.37  % SZS output start Proof for theBenchmark
% See solution above
% 8.18/1.38  % (3248851)------------------------------
% 8.18/1.38  % (3248851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.18/1.38  % (3248851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/1.38  % (3248851)CaDiCaL version: 2.1.3
% 8.18/1.38  % (3248851)Termination reason: Refutation
% 8.18/1.38  % (3248851)Time elapsed: 1.203 s
% 8.18/1.38  % (3248851)Peak memory usage: 39 MB
% 8.18/1.38  % (3248851)Instructions burned: 3632 (million)
% 8.18/1.38  % (3248844)Success in time 1.25 s
% 8.18/1.38  % Vampire exiting
%------------------------------------------------------------------------------