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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC055-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 01:02:13 PM UTC 2026

% Result   : Unsatisfiable 5.61s 1.92s
% Output   : Refutation 5.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  142 (  21 unt;  10 def)
%            Number of atoms       :  448 (  61 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  601 ( 295   ~; 297   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  10 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   70 (   0 sgn  70   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != nil
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f99,plain,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(reorient_equations,[],[f98]) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f102,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(reorient_equations,[],[f101]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    inference(reorient_equations,[],[f125]) ).

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/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f186,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f187,axiom,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),X2) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(reorient_equations,[],[f208]) ).

fof(f212,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f213,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk3 ),
    inference(reorient_equations,[],[f212]) ).

fof(f214,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f217,negated_conjecture,
    ! [X0] :
      ( nil = sk2
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f218,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f219,negated_conjecture,
    ! [X0] :
      ( nil != sk1
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f223,plain,
    ! [X0] :
      ( nil = sk4
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f217,f204,f204,f205]) ).

fof(f224,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f218,f205,f204]) ).

fof(f225,plain,
    ! [X0] :
      ( nil != sk3
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f219,f205,f204,f205]) ).

fof(f232,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f187]) ).

fof(f250,definition,
    sF0 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f251,plain,
    cons(sk5,nil) = sF0,
    inference(reorient_equations,[],[f250]) ).

fof(f252,plain,
    ( sk3 = sF0
    | nil = sk4 ),
    inference(definition_folding,[],[f209,f251]) ).

fof(f253,plain,
    ( sk3 = sF0
    | nil = sk3 ),
    inference(definition_folding,[],[f213,f251]) ).

fof(f258,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f232]) ).

fof(f261,definition,
    ( spl1_1
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ neq(X0,nil) ) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X0] :
        ( ~ neq(X0,nil)
        | ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f264,definition,
    ( spl1_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f265,plain,
    ( nil = sk3
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( nil != sk3
    | spl1_2 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f267,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f225,f264,f261]) ).

fof(f269,definition,
    ( spl1_3
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f271,plain,
    ( neq(sk4,nil)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f272,plain,
    ( spl1_3
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f224,f264,f269]) ).

fof(f274,definition,
    ( spl1_4
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f276,plain,
    ( nil = sk4
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f277,plain,
    ( spl1_1
    | spl1_4 ),
    inference(avatar_split_clause,[],[f223,f274,f261]) ).

fof(f284,definition,
    ( spl1_6
  <=> memberP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f286,plain,
    ( memberP(sk4,sk5)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f287,plain,
    ( spl1_2
    | spl1_6 ),
    inference(avatar_split_clause,[],[f214,f284,f264]) ).

fof(f289,definition,
    ( spl1_7
  <=> sk3 = sF0 ),
    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).

fof(f291,plain,
    ( sk3 = sF0
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f292,plain,
    ( spl1_2
    | spl1_7 ),
    inference(avatar_split_clause,[],[f253,f289,f264]) ).

fof(f295,plain,
    ( spl1_4
    | spl1_7 ),
    inference(avatar_split_clause,[],[f252,f289,f274]) ).

fof(f297,definition,
    ( spl1_8
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f299,plain,
    ( ssItem(sk5)
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f300,plain,
    ( spl1_2
    | spl1_8 ),
    inference(avatar_split_clause,[],[f207,f297,f264]) ).

fof(f301,plain,
    ( spl1_4
    | spl1_8 ),
    inference(avatar_split_clause,[],[f206,f297,f274]) ).

fof(f307,definition,
    ( spl1_10
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).

fof(f308,plain,
    ( ssList(nil)
    | ~ spl1_10 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f343,plain,
    spl1_10,
    inference(avatar_split_clause,[],[f8,f307]) ).

fof(f345,plain,
    ( memberP(nil,sk5)
    | ~ spl1_4
    | ~ spl1_6 ),
    inference(forward_demodulation,[],[f286,f276]) ).

fof(f346,plain,
    ( ~ ssItem(sk5)
    | ~ spl1_4
    | ~ spl1_6 ),
    inference(resolution,[],[f71,f345]) ).

fof(f347,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f346,f299]) ).

fof(f348,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f350,plain,
    ( neq(nil,nil)
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(forward_demodulation,[],[f271,f276]) ).

fof(f357,plain,
    ( nil != sF0
    | ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f99,f251]) ).

fof(f358,plain,
    ( ~ ssList(nil)
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(resolution,[],[f258,f350]) ).

fof(f359,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_10 ),
    inference(forward_subsumption_resolution,[],[f358,f308]) ).

fof(f360,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | ~ spl1_10 ),
    inference(avatar_contradiction_clause,[],[f359]) ).

fof(f361,plain,
    ( nil != sF0
    | ~ ssList(nil)
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f357,f299]) ).

fof(f363,plain,
    ( nil != sF0
    | ~ spl1_8
    | ~ spl1_10 ),
    inference(forward_subsumption_resolution,[],[f361,f308]) ).

fof(f364,plain,
    ( nil != sk3
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10 ),
    inference(forward_demodulation,[],[f363,f291]) ).

fof(f365,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10 ),
    inference(forward_subsumption_resolution,[],[f364,f265]) ).

fof(f366,plain,
    ( ~ spl1_2
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10 ),
    inference(avatar_contradiction_clause,[],[f365]) ).

fof(f379,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f202,f74]) ).

fof(f384,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f203,f73]) ).

fof(f386,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(app(sk3,X0))
      | ~ ssList(X0) ),
    inference(superposition,[],[f240,f379]) ).

fof(f387,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f386,f85]) ).

fof(f388,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(sk3)
        | ~ ssList(X0) )
    | ~ spl1_10 ),
    inference(forward_subsumption_resolution,[],[f387,f308]) ).

fof(f389,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl1_10 ),
    inference(forward_subsumption_resolution,[],[f388,f202]) ).

fof(f393,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0
        | ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl1_1 ),
    inference(resolution,[],[f102,f262]) ).

fof(f394,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0
        | ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0) )
    | ~ spl1_1 ),
    inference(duplicate_literal_removal,[],[f393]) ).

fof(f396,plain,
    ( ! [X0] :
        ( ~ segmentP(sk4,X0)
        | nil = X0
        | ~ segmentP(sk3,X0)
        | ~ ssList(X0) )
    | ~ spl1_1
    | ~ spl1_10 ),
    inference(forward_subsumption_resolution,[],[f394,f308]) ).

fof(f413,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sk5,X0) = app(cons(sk5,nil),X0) )
    | ~ spl1_8 ),
    inference(resolution,[],[f126,f299]) ).

fof(f414,plain,
    ( ! [X0] :
        ( cons(sk5,X0) = app(sF0,X0)
        | ~ ssList(X0) )
    | ~ spl1_8 ),
    inference(forward_demodulation,[],[f413,f251]) ).

fof(f415,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sk3,X0) = cons(sk5,X0) )
    | ~ spl1_7
    | ~ spl1_8 ),
    inference(forward_demodulation,[],[f414,f291]) ).

fof(f423,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_6 ),
    inference(resolution,[],[f182,f286]) ).

fof(f424,plain,
    ( ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f423,f299]) ).

fof(f425,plain,
    ( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f424,f203]) ).

fof(f430,definition,
    ( spl1_18
  <=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
    introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).

fof(f431,plain,
    ( ssList(cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_18 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
    | spl1_18 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f437,plain,
    ( ~ ssList(skaf43(sk5,sk4))
    | ~ ssItem(sk5)
    | spl1_18 ),
    inference(resolution,[],[f432,f86]) ).

fof(f438,plain,
    ( ~ ssItem(sk5)
    | spl1_18 ),
    inference(forward_subsumption_resolution,[],[f437,f52]) ).

fof(f439,plain,
    ( $false
    | ~ spl1_8
    | spl1_18 ),
    inference(forward_subsumption_resolution,[],[f438,f299]) ).

fof(f440,plain,
    ( ~ spl1_8
    | spl1_18 ),
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f450,plain,
    ( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
    | ~ spl1_7
    | ~ spl1_8 ),
    inference(resolution,[],[f52,f415]) ).

fof(f492,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sk4,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(skaf42(sk4,sk5))
        | ~ ssList(X1)
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(superposition,[],[f186,f425]) ).

fof(f497,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sk4,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f492,f53]) ).

fof(f502,plain,
    ( ! [X0,X1] :
        ( segmentP(app(sk4,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f497,f431]) ).

fof(f505,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X1)
        | segmentP(app(sk4,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_18 ),
    inference(forward_demodulation,[],[f502,f450]) ).

fof(f507,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sk3)
        | ~ ssList(X0)
        | ~ ssList(sk3)
        | ~ ssList(skaf43(sk5,sk4)) )
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(resolution,[],[f505,f389]) ).

fof(f511,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sk3)
        | ~ ssList(X0)
        | ~ ssList(skaf43(sk5,sk4)) )
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f507,f202]) ).

fof(f512,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f511,f52]) ).

fof(f513,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(nil)
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(superposition,[],[f512,f384]) ).

fof(f514,plain,
    ( segmentP(sk4,sk3)
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f513,f308]) ).

fof(f515,plain,
    ( nil = sk3
    | ~ segmentP(sk3,sk3)
    | ~ ssList(sk3)
    | ~ spl1_1
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(resolution,[],[f514,f396]) ).

fof(f516,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ spl1_1
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f515,f57]) ).

fof(f517,plain,
    ( ~ ssList(sk3)
    | ~ spl1_1
    | spl1_2
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f516,f266]) ).

fof(f518,plain,
    ( $false
    | ~ spl1_1
    | spl1_2
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(forward_subsumption_resolution,[],[f517,f202]) ).

fof(f519,plain,
    ( ~ spl1_1
    | spl1_2
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(avatar_contradiction_clause,[],[f518]) ).

cnf(s1,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s2,plain,
    ( ~ spl1_2
    | spl1_3 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s3,plain,
    ( spl1_1
    | spl1_4 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s6,plain,
    ( spl1_2
    | spl1_6 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s7,plain,
    ( spl1_2
    | spl1_7 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s10,plain,
    ( spl1_4
    | spl1_7 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s11,plain,
    ( spl1_2
    | spl1_8 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s12,plain,
    ( spl1_4
    | spl1_8 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s22,plain,
    spl1_10,
    inference(sat_conversion,[],[f343]) ).

cnf(s23,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s26,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | ~ spl1_10 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s27,plain,
    ( ~ spl1_2
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s29,plain,
    ( ~ spl1_8
    | spl1_18 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s30,plain,
    ( ~ spl1_1
    | spl1_2
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_10
    | ~ spl1_18 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s35,plain,
    spl1_1,
    inference(rat,[],[s23,s6,s11,s1,s3]) ).

cnf(s36,plain,
    spl1_2,
    inference(rat,[],[s30,s29,s6,s7,s11,s35,s22]) ).

cnf(s37,plain,
    spl1_3,
    inference(rat,[],[s2,s36]) ).

cnf(s38,plain,
    ~ spl1_4,
    inference(rat,[],[s26,s22,s37]) ).

cnf(s39,plain,
    spl1_8,
    inference(rat,[],[s12,s38]) ).

cnf(s40,plain,
    spl1_7,
    inference(rat,[],[s10,s38]) ).

cnf(s44,plain,
    $false,
    inference(rat,[],[s27,s22,s36,s39,s40]) ).

fof(f520,plain,
    $false,
    inference(avatar_sat_refutation,[],[s44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC055-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n004.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 28 07:38:22 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.61/1.92  % (185555)Input is clausal, will run a generic CNF schedule.
% 5.61/1.92  % (185564)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1025519379:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.61/1.92  % (185565)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=397863255:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.61/1.92  % (185563)lrs+10_1_sil=8000:sp=occurrence:random_seed=3499995968:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.61/1.92  % (185560)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2539976877:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.61/1.92  % (185561)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2909273:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.61/1.92  % (185562)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3546327015:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.61/1.92  % (185564)Instruction limit reached! 
% 5.61/1.92  % (185564)------------------------------
% 5.61/1.92  % (185564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185564)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185564)Termination reason: Instruction limit
% 5.61/1.92  % (185564)Termination phase: Saturation
% 5.61/1.92  % (185564)Time elapsed: 0.039 s
% 5.61/1.92  % (185564)Peak memory usage: 89 MB
% 5.61/1.92  % (185564)Instructions burned: 119 (million)
% 5.61/1.92  % (185566)dis-21_1_sil=8000:lcm=predicate:random_seed=394304633:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.61/1.92  % (185566)Instruction limit reached! 
% 5.61/1.92  % (185566)------------------------------
% 5.61/1.92  % (185566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185566)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185566)Termination reason: Instruction limit
% 5.61/1.92  % (185566)Termination phase: Saturation
% 5.61/1.92  % (185566)Time elapsed: 0.055 s
% 5.61/1.92  % (185566)Peak memory usage: 89 MB
% 5.61/1.92  % (185566)Instructions burned: 117 (million)
% 5.61/1.92  % (185563)Instruction limit reached! 
% 5.61/1.92  % (185563)------------------------------
% 5.61/1.92  % (185563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185563)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185563)Termination reason: Instruction limit
% 5.61/1.92  % (185563)Termination phase: Saturation
% 5.61/1.92  % (185563)Time elapsed: 0.067 s
% 5.61/1.92  % (185563)Peak memory usage: 89 MB
% 5.61/1.92  % (185563)Instructions burned: 109 (million)
% 5.61/1.92  % (185574)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3682018634:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.61/1.92  % (185565)Instruction limit reached! 
% 5.61/1.92  % (185565)------------------------------
% 5.61/1.92  % (185565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185565)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185565)Termination reason: Instruction limit
% 5.61/1.92  % (185565)Termination phase: Saturation
% 5.61/1.92  % (185565)Time elapsed: 0.129 s
% 5.61/1.92  % (185565)Peak memory usage: 90 MB
% 5.61/1.92  % (185565)Instructions burned: 181 (million)
% 5.61/1.92  % (185574)Instruction limit reached! 
% 5.61/1.92  % (185574)------------------------------
% 5.61/1.92  % (185574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185574)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185574)Termination reason: Instruction limit
% 5.61/1.92  % (185574)Termination phase: Saturation
% 5.61/1.92  % (185574)Time elapsed: 0.050 s
% 5.61/1.92  % (185574)Peak memory usage: 89 MB
% 5.61/1.92  % (185574)Instructions burned: 145 (million)
% 5.61/1.92  % (185575)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=327620188:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.61/1.92  % (185576)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3087140450:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.61/1.92  % (185579)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3874695727:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 5.61/1.92  % (185578)lrs+10_64_to=lpo:sil=8000:random_seed=494141069:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.61/1.92  % (185579)Instruction limit reached! 
% 5.61/1.92  % (185579)------------------------------
% 5.61/1.92  % (185579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185579)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185579)Termination reason: Instruction limit
% 5.61/1.92  % (185579)Termination phase: Saturation
% 5.61/1.92  % (185579)Time elapsed: 0.065 s
% 5.61/1.92  % (185579)Peak memory usage: 91 MB
% 5.61/1.92  % (185579)Instructions burned: 195 (million)
% 5.61/1.92  % (185575)Instruction limit reached! 
% 5.61/1.92  % (185575)------------------------------
% 5.61/1.92  % (185575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185575)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185575)Termination reason: Instruction limit
% 5.61/1.92  % (185575)Termination phase: Saturation
% 5.61/1.92  % (185575)Time elapsed: 0.096 s
% 5.61/1.92  % (185575)Peak memory usage: 91 MB
% 5.61/1.92  % (185575)Instructions burned: 189 (million)
% 5.61/1.92  % (185578)Instruction limit reached! 
% 5.61/1.92  % (185578)------------------------------
% 5.61/1.92  % (185578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185578)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185578)Termination reason: Instruction limit
% 5.61/1.92  % (185578)Termination phase: Saturation
% 5.61/1.92  % (185578)Time elapsed: 0.067 s
% 5.61/1.92  % (185578)Peak memory usage: 90 MB
% 5.61/1.92  % (185578)Instructions burned: 127 (million)
% 5.61/1.92  % (185576)Instruction limit reached! 
% 5.61/1.92  % (185576)------------------------------
% 5.61/1.92  % (185576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185576)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185576)Termination reason: Instruction limit
% 5.61/1.92  % (185576)Termination phase: Saturation
% 5.61/1.92  % (185576)Time elapsed: 0.129 s
% 5.61/1.92  % (185576)Peak memory usage: 90 MB
% 5.61/1.92  % (185576)Instructions burned: 219 (million)
% 5.61/1.92  % (185584)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=101443638:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.61/1.92  % (185585)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=346396207:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.61/1.92  % (185584)Instruction limit reached! 
% 5.61/1.92  % (185584)------------------------------
% 5.61/1.92  % (185584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185584)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185584)Termination reason: Instruction limit
% 5.61/1.92  % (185584)Termination phase: Saturation
% 5.61/1.92  % (185584)Time elapsed: 0.048 s
% 5.61/1.92  % (185584)Peak memory usage: 91 MB
% 5.61/1.92  % (185584)Instructions burned: 158 (million)
% 5.61/1.92  % (185586)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3597835898:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 5.61/1.92  % (185587)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3870212416:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 5.61/1.92  % (185586)Instruction limit reached! 
% 5.61/1.92  % (185586)------------------------------
% 5.61/1.92  % (185586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185586)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185586)Termination reason: Instruction limit
% 5.61/1.92  % (185586)Termination phase: Saturation
% 5.61/1.92  % (185586)Time elapsed: 0.060 s
% 5.61/1.92  % (185586)Peak memory usage: 90 MB
% 5.61/1.92  % (185586)Instructions burned: 107 (million)
% 5.61/1.92  % (185590)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1118494307:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 5.61/1.92  % (185587)Instruction limit reached! 
% 5.61/1.92  % (185587)------------------------------
% 5.61/1.92  % (185587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185587)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185587)Termination reason: Instruction limit
% 5.61/1.92  % (185587)Termination phase: Saturation
% 5.61/1.92  % (185587)Time elapsed: 0.068 s
% 5.61/1.92  % (185587)Peak memory usage: 90 MB
% 5.61/1.92  % (185587)Instructions burned: 107 (million)
% 5.61/1.92  % (185590)Instruction limit reached! 
% 5.61/1.92  % (185590)------------------------------
% 5.61/1.92  % (185590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185590)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185590)Termination reason: Instruction limit
% 5.61/1.92  % (185590)Termination phase: Saturation
% 5.61/1.92  % (185590)Time elapsed: 0.084 s
% 5.61/1.92  % (185590)Peak memory usage: 90 MB
% 5.61/1.92  % (185590)Instructions burned: 245 (million)
% 5.61/1.92  % (185593)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1846861700:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 5.61/1.92  % (185560)First to succeed.
% 5.61/1.92  % (185595)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1221195358:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 5.61/1.92  % (185560)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-185555"
% 5.61/1.92  % (185596)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3214851974:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 5.61/1.92  % (185595)Instruction limit reached! 
% 5.61/1.92  % (185595)------------------------------
% 5.61/1.92  % (185595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185595)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185595)Termination reason: Instruction limit
% 5.61/1.92  % (185595)Termination phase: Saturation
% 5.61/1.92  % (185595)Time elapsed: 0.063 s
% 5.61/1.92  % (185595)Peak memory usage: 89 MB
% 5.61/1.92  % (185595)Instructions burned: 134 (million)
% 5.61/1.92  % (185562)Also succeeded, but the first one will report.
% 5.61/1.92  % (185596)Instruction limit reached! 
% 5.61/1.92  % (185596)------------------------------
% 5.61/1.92  % (185596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.92  % (185596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.92  % (185596)CaDiCaL version: 2.1.3
% 5.61/1.92  % (185596)Termination reason: Instruction limit
% 5.61/1.92  % (185596)Termination phase: Saturation
% 5.61/1.92  % (185596)Time elapsed: 0.143 s
% 5.61/1.92  % (185596)Peak memory usage: 98 MB
% 5.61/1.92  % (185596)Instructions burned: 499 (million)
% 5.61/1.92  % (185600)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2862058198:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 5.61/1.92  % (185560)Refutation found. Thanks to Tanya!
% 5.61/1.92  % SZS status Unsatisfiable for theBenchmark
% 5.61/1.92  % SZS output start Proof for theBenchmark
% See solution above
% 5.61/2.02  % (185560)------------------------------
% 5.61/2.02  % (185560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.02  % (185560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.02  % (185560)CaDiCaL version: 2.1.3
% 5.61/2.02  % (185560)Termination reason: Refutation
% 5.61/2.02  % (185560)Time elapsed: 0.679 s
% 5.61/2.02  % (185560)Peak memory usage: 131 MB
% 5.61/2.02  % (185560)Instructions burned: 1013 (million)
% 5.61/2.02  % (185560)------------------------------
% 5.61/2.02  % (185560)------------------------------
% 5.61/2.02  % (185555)Success in time 1.091 s
% 5.61/2.02  % Vampire exiting
%------------------------------------------------------------------------------