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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC084-1 : 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 : n001.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 01:02:22 PM UTC 2026

% Result   : Unsatisfiable 8.60s 2.06s
% Output   : Refutation 9.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  140 (  25 unt;  10 def)
%            Number of atoms       :  471 (  50 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  669 ( 338   ~; 322   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  10 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   98 (   0 sgn  98   !;   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(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

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(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/sandbox/benchmark/theBenchmark.p',clause179) ).

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,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

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

fof(f210,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk4 ),
    inference(reorient_equations,[],[f210]) ).

fof(f212,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f220,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f206,f204]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ neq(X0,nil)
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f207,f204,f205]) ).

fof(f228,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f236,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(f239,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(f246,definition,
    sF0 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f247,plain,
    cons(sk5,nil) = sF0,
    inference(reorient_equations,[],[f246]) ).

fof(f248,plain,
    ( sk3 = sF0
    | nil = sk4 ),
    inference(definition_folding,[],[f211,f247]) ).

fof(f254,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f228]) ).

fof(f257,definition,
    ( spl1_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f258,plain,
    ( nil != sk3
    | spl1_1 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f265,definition,
    ( spl1_3
  <=> memberP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f267,plain,
    ( memberP(sk4,sk5)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f270,definition,
    ( spl1_4
  <=> sk3 = sF0 ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f272,plain,
    ( sk3 = sF0
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f275,definition,
    ( spl1_5
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f277,plain,
    ( nil = sk4
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f279,plain,
    ( spl1_5
    | spl1_3 ),
    inference(avatar_split_clause,[],[f212,f265,f275]) ).

fof(f280,plain,
    ( spl1_5
    | spl1_4 ),
    inference(avatar_split_clause,[],[f248,f270,f275]) ).

fof(f282,definition,
    ( spl1_6
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f284,plain,
    ( ssItem(sk5)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f286,plain,
    ( spl1_5
    | spl1_6 ),
    inference(avatar_split_clause,[],[f208,f282,f275]) ).

fof(f292,definition,
    ( spl1_8
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f293,plain,
    ( ssList(nil)
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f320,definition,
    ( spl1_14
  <=> ! [X1] : ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).

fof(f321,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl1_14 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f323,definition,
    ( spl1_15
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).

fof(f324,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) )
    | ~ spl1_15 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f325,plain,
    ( spl1_14
    | spl1_15 ),
    inference(avatar_split_clause,[],[f72,f323,f320]) ).

fof(f328,plain,
    spl1_8,
    inference(avatar_split_clause,[],[f8,f292]) ).

fof(f333,plain,
    ( nil != sF0
    | ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f99,f247]) ).

fof(f334,plain,
    ( nil != sF0
    | ~ ssList(nil)
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f333,f284]) ).

fof(f335,plain,
    ( nil != sF0
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f334,f293]) ).

fof(f336,plain,
    ( nil != sk3
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(forward_demodulation,[],[f335,f272]) ).

fof(f337,plain,
    ( ~ spl1_1
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(avatar_split_clause,[],[f336,f292,f282,f270,f257]) ).

fof(f344,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | nil = X0
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(resolution,[],[f102,f221]) ).

fof(f347,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | nil = X0
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ segmentP(sk4,X0)
        | nil = X0
        | ~ ssList(X0)
        | ~ segmentP(sk3,X0) )
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f347,f293]) ).

fof(f354,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f203,f73]) ).

fof(f367,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f202,f74]) ).

fof(f372,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(app(sk3,X0))
      | ~ ssList(X0) ),
    inference(superposition,[],[f236,f367]) ).

fof(f373,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f372,f85]) ).

fof(f374,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(sk3)
        | ~ ssList(X0) )
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f373,f293]) ).

fof(f375,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f374,f202]) ).

fof(f385,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_3 ),
    inference(resolution,[],[f182,f267]) ).

fof(f392,definition,
    ( spl1_16
  <=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
    introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).

fof(f393,plain,
    ( ssList(cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_16 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f394,plain,
    ( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
    | spl1_16 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f399,plain,
    ( ~ ssList(skaf43(sk5,sk4))
    | ~ ssItem(sk5)
    | spl1_16 ),
    inference(resolution,[],[f394,f86]) ).

fof(f400,plain,
    ( ~ ssItem(sk5)
    | spl1_16 ),
    inference(forward_subsumption_resolution,[],[f399,f52]) ).

fof(f401,plain,
    ( $false
    | ~ spl1_6
    | spl1_16 ),
    inference(forward_subsumption_resolution,[],[f400,f284]) ).

fof(f402,plain,
    ( ~ spl1_6
    | spl1_16 ),
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f407,plain,
    ( ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_3
    | ~ spl1_14 ),
    inference(forward_subsumption_resolution,[],[f385,f321]) ).

fof(f412,plain,
    ( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_3
    | ~ spl1_14 ),
    inference(forward_subsumption_resolution,[],[f407,f203]) ).

fof(f422,plain,
    ( neq(nil,nil)
    | ~ spl1_5 ),
    inference(superposition,[],[f220,f277]) ).

fof(f431,plain,
    ( ~ ssList(nil)
    | ~ spl1_5 ),
    inference(resolution,[],[f422,f254]) ).

fof(f432,plain,
    ( $false
    | ~ spl1_5
    | ~ spl1_8 ),
    inference(forward_subsumption_resolution,[],[f431,f293]) ).

fof(f433,plain,
    ( ~ spl1_5
    | ~ spl1_8 ),
    inference(avatar_contradiction_clause,[],[f432]) ).

fof(f459,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_3
    | ~ spl1_14 ),
    inference(superposition,[],[f186,f412]) ).

fof(f462,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_3
    | ~ spl1_14 ),
    inference(forward_subsumption_resolution,[],[f459,f53]) ).

fof(f463,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | segmentP(app(sk4,X0),X1) )
    | ~ spl1_3
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(forward_subsumption_resolution,[],[f462,f393]) ).

fof(f616,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | cons(X1,X0) = app(cons(X1,nil),X0) )
    | ~ spl1_14 ),
    inference(resolution,[],[f321,f126]) ).

fof(f618,plain,
    ( ! [X2,X0,X1] : cons(X0,skaf43(X1,X2)) = app(cons(X0,nil),skaf43(X1,X2))
    | ~ spl1_14 ),
    inference(resolution,[],[f616,f52]) ).

fof(f993,plain,
    ! [X0,X1] :
      ( ~ ssList(app(app(X0,cons(sk5,X1)),sF0))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(sk5)
      | ~ duplicatefreeP(app(app(X0,cons(sk5,X1)),sF0))
      | ~ ssList(nil) ),
    inference(superposition,[],[f239,f247]) ).

fof(f1094,plain,
    ( ! [X0,X1] : cons(sk5,skaf43(X0,X1)) = app(sF0,skaf43(X0,X1))
    | ~ spl1_14 ),
    inference(superposition,[],[f618,f247]) ).

fof(f1105,plain,
    ( ! [X0,X1] : cons(sk5,skaf43(X0,X1)) = app(sk3,skaf43(X0,X1))
    | ~ spl1_4
    | ~ spl1_14 ),
    inference(forward_demodulation,[],[f1094,f272]) ).

fof(f1112,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
        | ~ ssList(X1)
        | ~ ssList(X0)
        | segmentP(app(sk4,X1),X0) )
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(superposition,[],[f463,f1105]) ).

fof(f1167,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(sk3)
        | segmentP(app(sk4,X0),sk3)
        | ~ ssList(skaf43(sk5,sk4)) )
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(resolution,[],[f1112,f375]) ).

fof(f1173,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(sk4,X0),sk3)
        | ~ ssList(skaf43(sk5,sk4)) )
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(forward_subsumption_resolution,[],[f1167,f202]) ).

fof(f1175,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(forward_subsumption_resolution,[],[f1173,f52]) ).

fof(f1176,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(nil)
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(superposition,[],[f1175,f354]) ).

fof(f1177,plain,
    ( segmentP(sk4,sk3)
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(forward_subsumption_resolution,[],[f1176,f293]) ).

fof(f1178,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ segmentP(sk3,sk3)
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(resolution,[],[f1177,f348]) ).

fof(f1179,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(forward_subsumption_resolution,[],[f1178,f57]) ).

fof(f1180,plain,
    ( ~ ssList(sk3)
    | spl1_1
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(forward_subsumption_resolution,[],[f1179,f258]) ).

fof(f1181,plain,
    ( $false
    | spl1_1
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(forward_subsumption_resolution,[],[f1180,f202]) ).

fof(f1182,plain,
    ( spl1_1
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(avatar_contradiction_clause,[],[f1181]) ).

fof(f1185,plain,
    ( ~ ssItem(sk5)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_3 ),
    inference(forward_subsumption_resolution,[],[f385,f203]) ).

fof(f1210,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(app(X0,cons(sk5,X1)),sF0))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(sk5)
        | ~ ssList(nil) )
    | ~ spl1_15 ),
    inference(forward_subsumption_resolution,[],[f993,f324]) ).

fof(f1218,plain,
    ( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | ~ spl1_3
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f1185,f284]) ).

fof(f1271,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(app(X0,cons(sk5,X1)),sF0))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl1_6
    | ~ spl1_15 ),
    inference(forward_subsumption_resolution,[],[f1210,f284]) ).

fof(f1310,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(app(X0,cons(sk5,X1)),sF0))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(forward_subsumption_resolution,[],[f1271,f293]) ).

fof(f1315,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(forward_demodulation,[],[f1310,f272]) ).

fof(f1443,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X1,cons(sk5,X0)))
        | ~ ssList(sk3) )
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(resolution,[],[f1315,f85]) ).

fof(f1450,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(X1,cons(sk5,X0)))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(forward_subsumption_resolution,[],[f1443,f202]) ).

fof(f1464,plain,
    ( ~ ssList(sk4)
    | ~ ssList(skaf42(sk4,sk5))
    | ~ ssList(skaf43(sk5,sk4))
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(superposition,[],[f1450,f1218]) ).

fof(f1478,plain,
    ( ~ ssList(skaf42(sk4,sk5))
    | ~ ssList(skaf43(sk5,sk4))
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(forward_subsumption_resolution,[],[f1464,f203]) ).

fof(f1484,plain,
    ( ~ ssList(skaf43(sk5,sk4))
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(forward_subsumption_resolution,[],[f1478,f53]) ).

fof(f1489,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(forward_subsumption_resolution,[],[f1484,f52]) ).

fof(f1490,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(avatar_contradiction_clause,[],[f1489]) ).

cnf(s5,plain,
    ( spl1_3
    | spl1_5 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s6,plain,
    ( spl1_4
    | spl1_5 ),
    inference(sat_conversion,[],[f280]) ).

cnf(s8,plain,
    ( spl1_5
    | spl1_6 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s15,plain,
    ( spl1_14
    | spl1_15 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s18,plain,
    spl1_8,
    inference(sat_conversion,[],[f328]) ).

cnf(s19,plain,
    ( ~ spl1_1
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s21,plain,
    ( ~ spl1_6
    | spl1_16 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s25,plain,
    ( ~ spl1_5
    | ~ spl1_8 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s42,plain,
    ( spl1_1
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_8
    | ~ spl1_14
    | ~ spl1_16 ),
    inference(sat_conversion,[],[f1182]) ).

cnf(s66,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_8
    | ~ spl1_15 ),
    inference(sat_conversion,[],[f1490]) ).

cnf(s67,plain,
    ~ spl1_5,
    inference(rat,[],[s25,s18]) ).

cnf(s77,plain,
    spl1_6,
    inference(rat,[],[s8,s67]) ).

cnf(s78,plain,
    spl1_16,
    inference(rat,[],[s21,s77]) ).

cnf(s79,plain,
    spl1_4,
    inference(rat,[],[s6,s67]) ).

cnf(s81,plain,
    ~ spl1_1,
    inference(rat,[],[s19,s18,s77,s79]) ).

cnf(s87,plain,
    spl1_3,
    inference(rat,[],[s5,s67]) ).

cnf(s88,plain,
    ~ spl1_15,
    inference(rat,[],[s66,s79,s18,s77,s87]) ).

cnf(s89,plain,
    ~ spl1_14,
    inference(rat,[],[s42,s78,s81,s18,s79,s87]) ).

cnf(s91,plain,
    $false,
    inference(rat,[],[s15,s88,s89]) ).

fof(f1492,plain,
    $false,
    inference(avatar_sat_refutation,[],[s91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC084-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n001.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 07:53:09 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 8.60/2.06  % (194562)Input is clausal, will run a generic CNF schedule.
% 8.60/2.06  % (194573)dis-21_1_sil=8000:lcm=predicate:random_seed=1549943324: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)
% 8.60/2.06  % (194567)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=2840572894:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.60/2.06  % (194569)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2729839204:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.60/2.06  % (194570)lrs+10_1_sil=8000:sp=occurrence:random_seed=4103060466:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.60/2.06  % (194568)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3823265180:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.60/2.06  % (194571)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2742760253:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.60/2.06  % (194573)Instruction limit reached! 
% 8.60/2.06  % (194573)------------------------------
% 8.60/2.06  % (194573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194573)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194573)Termination reason: Instruction limit
% 8.60/2.06  % (194573)Termination phase: Saturation
% 8.60/2.06  % (194573)Time elapsed: 0.028 s
% 8.60/2.06  % (194573)Peak memory usage: 89 MB
% 8.60/2.06  % (194573)Instructions burned: 119 (million)
% 8.60/2.06  % (194572)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2526389344:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.60/2.06  % (194571)Instruction limit reached! 
% 8.60/2.06  % (194571)------------------------------
% 8.60/2.06  % (194571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194571)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194571)Termination reason: Instruction limit
% 8.60/2.06  % (194571)Termination phase: Saturation
% 8.60/2.06  % (194571)Time elapsed: 0.066 s
% 8.60/2.06  % (194571)Peak memory usage: 88 MB
% 8.60/2.06  % (194571)Instructions burned: 114 (million)
% 8.60/2.06  % (194570)Instruction limit reached! 
% 8.60/2.06  % (194570)------------------------------
% 8.60/2.06  % (194570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194570)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194570)Termination reason: Instruction limit
% 8.60/2.06  % (194570)Termination phase: Saturation
% 8.60/2.06  % (194570)Time elapsed: 0.067 s
% 8.60/2.06  % (194570)Peak memory usage: 89 MB
% 8.60/2.06  % (194570)Instructions burned: 107 (million)
% 8.60/2.06  % (194580)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=3391463934:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.60/2.06  % (194572)Instruction limit reached! 
% 8.60/2.06  % (194572)------------------------------
% 8.60/2.06  % (194572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194572)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194572)Termination reason: Instruction limit
% 8.60/2.06  % (194572)Termination phase: Saturation
% 8.60/2.06  % (194572)Time elapsed: 0.124 s
% 8.60/2.06  % (194572)Peak memory usage: 90 MB
% 8.60/2.06  % (194572)Instructions burned: 181 (million)
% 8.60/2.06  % (194580)Instruction limit reached! 
% 8.60/2.06  % (194580)------------------------------
% 8.60/2.06  % (194580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194580)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194580)Termination reason: Instruction limit
% 8.60/2.06  % (194580)Termination phase: Saturation
% 8.60/2.06  % (194580)Time elapsed: 0.051 s
% 8.60/2.06  % (194580)Peak memory usage: 89 MB
% 8.60/2.06  % (194580)Instructions burned: 145 (million)
% 8.60/2.06  % (194583)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1900187765:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.60/2.06  % (194582)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2287879056: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)
% 8.60/2.06  % (194586)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=425239848:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 8.60/2.06  % (194585)lrs+10_64_to=lpo:sil=8000:random_seed=3129329316:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.60/2.06  % (194582)Instruction limit reached! 
% 8.60/2.06  % (194582)------------------------------
% 8.60/2.06  % (194582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194582)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194582)Termination reason: Instruction limit
% 8.60/2.06  % (194582)Termination phase: Saturation
% 8.60/2.06  % (194582)Time elapsed: 0.099 s
% 8.60/2.06  % (194582)Peak memory usage: 91 MB
% 8.60/2.06  % (194582)Instructions burned: 190 (million)
% 8.60/2.06  % (194586)Instruction limit reached! 
% 8.60/2.06  % (194586)------------------------------
% 8.60/2.06  % (194586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194586)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194586)Termination reason: Instruction limit
% 8.60/2.06  % (194586)Termination phase: Saturation
% 8.60/2.06  % (194586)Time elapsed: 0.067 s
% 8.60/2.06  % (194586)Peak memory usage: 90 MB
% 8.60/2.06  % (194586)Instructions burned: 196 (million)
% 8.60/2.06  % (194583)Instruction limit reached! 
% 8.60/2.06  % (194583)------------------------------
% 8.60/2.06  % (194583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194583)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194583)Termination reason: Instruction limit
% 8.60/2.06  % (194583)Termination phase: Saturation
% 8.60/2.06  % (194583)Time elapsed: 0.134 s
% 8.60/2.06  % (194583)Peak memory usage: 89 MB
% 8.60/2.06  % (194583)Instructions burned: 219 (million)
% 8.60/2.06  % (194585)Instruction limit reached! 
% 8.60/2.06  % (194585)------------------------------
% 8.60/2.06  % (194585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194585)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194585)Termination reason: Instruction limit
% 8.60/2.06  % (194585)Termination phase: Saturation
% 8.60/2.06  % (194585)Time elapsed: 0.068 s
% 8.60/2.06  % (194585)Peak memory usage: 90 MB
% 8.60/2.06  % (194585)Instructions burned: 127 (million)
% 8.60/2.06  % (194592)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=276986765:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.60/2.06  % (194591)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2439222204:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.60/2.06  % (194593)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=700037822:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.60/2.06  % (194594)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3093882908:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 8.60/2.06  % (194593)Instruction limit reached! 
% 8.60/2.06  % (194593)------------------------------
% 8.60/2.06  % (194593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194593)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194593)Termination reason: Instruction limit
% 8.60/2.06  % (194593)Termination phase: Saturation
% 8.60/2.06  % (194593)Time elapsed: 0.059 s
% 8.60/2.06  % (194593)Peak memory usage: 90 MB
% 8.60/2.06  % (194593)Instructions burned: 106 (million)
% 8.60/2.06  % (194591)Instruction limit reached! 
% 8.60/2.06  % (194591)------------------------------
% 8.60/2.06  % (194591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194591)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194591)Termination reason: Instruction limit
% 8.60/2.06  % (194591)Termination phase: Saturation
% 8.60/2.06  % (194591)Time elapsed: 0.092 s
% 8.60/2.06  % (194591)Peak memory usage: 91 MB
% 8.60/2.06  % (194591)Instructions burned: 161 (million)
% 8.60/2.06  % (194594)Instruction limit reached! 
% 8.60/2.06  % (194594)------------------------------
% 8.60/2.06  % (194594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194594)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194594)Termination reason: Instruction limit
% 8.60/2.06  % (194594)Termination phase: Saturation
% 8.60/2.06  % (194594)Time elapsed: 0.067 s
% 8.60/2.06  % (194594)Peak memory usage: 90 MB
% 8.60/2.06  % (194594)Instructions burned: 107 (million)
% 8.60/2.06  % (194599)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=713102600:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.60/2.06  % (194600)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=164256046:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.60/2.06  % (194601)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1948444254:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 8.60/2.06  % (194601)Instruction limit reached! 
% 8.60/2.06  % (194601)------------------------------
% 8.60/2.06  % (194601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194601)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194601)Termination reason: Instruction limit
% 8.60/2.06  % (194601)Termination phase: Saturation
% 8.60/2.06  % (194601)Time elapsed: 0.074 s
% 8.60/2.06  % (194601)Peak memory usage: 89 MB
% 8.60/2.06  % (194601)Instructions burned: 134 (million)
% 8.60/2.06  % (194567)First to succeed.
% 8.60/2.06  % (194567)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-194562"
% 8.60/2.06  % (194592)Also succeeded, but the first one will report.
% 8.60/2.06  % (194599)Instruction limit reached! 
% 8.60/2.06  % (194599)------------------------------
% 8.60/2.06  % (194599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.60/2.06  % (194599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.60/2.06  % (194599)CaDiCaL version: 2.1.3
% 8.60/2.06  % (194599)Termination reason: Instruction limit
% 8.60/2.06  % (194599)Termination phase: Saturation
% 8.60/2.06  % (194599)Time elapsed: 0.156 s
% 8.60/2.06  % (194599)Peak memory usage: 90 MB
% 8.60/2.06  % (194599)Instructions burned: 243 (million)
% 8.60/2.06  % (194605)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3369128941:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 8.60/2.06  % (194606)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1075504975:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 8.60/2.06  % (194569)Also succeeded, but the first one will report.
% 8.60/2.06  % (194567)Refutation found. Thanks to Tanya!
% 8.60/2.06  % SZS status Unsatisfiable for theBenchmark
% 8.60/2.06  % SZS output start Proof for theBenchmark
% See solution above
% 9.00/2.25  % (194567)------------------------------
% 9.00/2.25  % (194567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.25  % (194567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.25  % (194567)CaDiCaL version: 2.1.3
% 9.00/2.25  % (194567)Termination reason: Refutation
% 9.00/2.25  % (194567)Time elapsed: 0.789 s
% 9.00/2.25  % (194567)Peak memory usage: 132 MB
% 9.00/2.25  % (194567)Instructions burned: 1180 (million)
% 9.00/2.25  % (194567)------------------------------
% 9.00/2.25  % (194567)------------------------------
% 9.00/2.25  % (194562)Success in time 1.198 s
% 9.00/2.25  % Vampire exiting
%------------------------------------------------------------------------------