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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC067-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 01:04:31 PM UTC 2026

% Result   : Unsatisfiable 0.94s 0.57s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  133 (  24 unt;   9 def)
%            Number of atoms       :  385 (  75 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  473 ( 221   ~; 243   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   46 (   0 sgn  46   !;   0   ?)

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

fof(f57,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).

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

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

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

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

fof(f121,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).

fof(f122,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(reorient_equations,[],[f121]) ).

fof(f123,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).

fof(f124,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    inference(reorient_equations,[],[f123]) ).

fof(f186,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(app(X3,X0),X2),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause172) ).

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,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    app(app(sk5,sk3),sk6) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,plain,
    sk4 = app(app(sk5,sk3),sk6),
    inference(reorient_equations,[],[f208]) ).

fof(f215,negated_conjecture,
    ( nil = sk4
    | 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_15) ).

fof(f218,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

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_17) ).

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(f273,plain,
    ! [X0] :
      ( ~ segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ~ neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f349,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f366,plain,
    ! [X0] :
      ( nil = sk4
      | ~ ssList(X0)
      | neq(X0,nil)
      | segmentP(sk4,X0)
      | segmentP(sk3,X0) ),
    inference(consistent_polarity_flipping,[],[f223]) ).

fof(f367,plain,
    ( nil != sk3
    | ~ neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f224]) ).

fof(f368,plain,
    ! [X0] :
      ( nil != sk3
      | ~ ssList(X0)
      | neq(X0,nil)
      | segmentP(sk4,X0)
      | segmentP(sk3,X0) ),
    inference(consistent_polarity_flipping,[],[f225]) ).

fof(f376,definition,
    ( spl0_1
  <=> ! [X0] :
        ( ~ ssList(X0)
        | segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | neq(X0,nil) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f377,plain,
    ( ! [X0] :
        ( neq(X0,nil)
        | segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f379,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f381,plain,
    ( nil != sk3
    | spl0_2 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f382,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f368,f379,f376]) ).

fof(f384,definition,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f386,plain,
    ( ~ neq(sk4,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f387,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f367,f379,f384]) ).

fof(f389,definition,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f391,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f392,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f366,f389,f376]) ).

fof(f394,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f215,f389,f379]) ).

fof(f400,definition,
    ( spl0_6
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f401,plain,
    ( ssList(nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f436,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f8,f400]) ).

fof(f439,plain,
    ( nil = app(app(sk5,sk3),sk6)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f209,f391]) ).

fof(f484,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f202]) ).

fof(f517,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f202]) ).

fof(f700,definition,
    ( spl0_14
  <=> nil = sk6 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f701,plain,
    ( nil != sk6
    | spl0_14 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f702,plain,
    ( nil = sk6
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f709,definition,
    ( spl0_16
  <=> nil = sk5 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f710,plain,
    ( nil != sk5
    | spl0_16 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f711,plain,
    ( nil = sk5
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f773,plain,
    ( nil != nil
    | ~ ssList(sk6)
    | ~ ssList(app(sk5,sk3))
    | nil = app(sk5,sk3)
    | ~ spl0_4 ),
    inference(superposition,[],[f122,f439]) ).

fof(f777,plain,
    ( ~ ssList(sk6)
    | ~ ssList(app(sk5,sk3))
    | nil = app(sk5,sk3)
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f773]) ).

fof(f778,plain,
    ( ~ ssList(app(sk5,sk3))
    | nil = app(sk5,sk3)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f777,f207]) ).

fof(f780,definition,
    ( spl0_19
  <=> nil = app(sk5,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f782,plain,
    ( nil = app(sk5,sk3)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f784,definition,
    ( spl0_20
  <=> ssList(app(sk5,sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f785,plain,
    ( ssList(app(sk5,sk3))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f786,plain,
    ( ~ ssList(app(sk5,sk3))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f787,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f778,f389,f784,f780]) ).

fof(f817,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk3)
    | spl0_20 ),
    inference(resolution,[],[f786,f85]) ).

fof(f818,plain,
    ( ~ ssList(sk3)
    | spl0_20 ),
    inference(forward_subsumption_resolution,[],[f817,f206]) ).

fof(f819,plain,
    ( $false
    | spl0_20 ),
    inference(forward_subsumption_resolution,[],[f818,f202]) ).

fof(f820,plain,
    spl0_20,
    inference(avatar_contradiction_clause,[],[f819]) ).

fof(f862,plain,
    ( nil != nil
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk3
    | ~ spl0_19 ),
    inference(superposition,[],[f124,f782]) ).

fof(f863,plain,
    ( nil != nil
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk5
    | ~ spl0_19 ),
    inference(superposition,[],[f122,f782]) ).

fof(f865,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk5
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f863]) ).

fof(f866,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk3
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f862]) ).

fof(f867,plain,
    ( ~ ssList(sk5)
    | nil = sk5
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f865,f202]) ).

fof(f868,plain,
    ( ~ ssList(sk5)
    | nil = sk3
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f866,f202]) ).

fof(f871,plain,
    ( nil = sk5
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f867,f206]) ).

fof(f872,plain,
    ( nil = sk3
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f868,f206]) ).

fof(f874,plain,
    ( $false
    | spl0_16
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f871,f710]) ).

fof(f875,plain,
    ( spl0_16
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f874]) ).

fof(f876,plain,
    ( $false
    | spl0_2
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f872,f381]) ).

fof(f877,plain,
    ( spl0_2
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f876]) ).

fof(f898,plain,
    ( sk4 = app(app(sk5,sk3),nil)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f209,f702]) ).

fof(f916,plain,
    ( sk4 = app(app(nil,sk3),nil)
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f898,f711]) ).

fof(f917,plain,
    ( sk4 = app(sk3,nil)
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f916,f517]) ).

fof(f918,plain,
    ( sk3 = sk4
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f917,f484]) ).

fof(f922,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | ~ ssList(X0)
        | segmentP(sk3,X0)
        | neq(X0,nil) )
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f377,f918]) ).

fof(f923,plain,
    ( ! [X0] :
        ( neq(X0,nil)
        | ~ ssList(X0)
        | segmentP(sk3,X0) )
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f922]) ).

fof(f930,plain,
    ( ~ ssList(sk4)
    | segmentP(sk3,sk4)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(resolution,[],[f923,f386]) ).

fof(f934,plain,
    ( segmentP(sk3,sk4)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f930,f203]) ).

fof(f936,plain,
    ( segmentP(sk3,sk3)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f934,f918]) ).

fof(f955,plain,
    ( ~ ssList(sk3)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(resolution,[],[f936,f273]) ).

fof(f956,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f955,f202]) ).

fof(f957,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f956]) ).

fof(f967,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl0_1 ),
    inference(resolution,[],[f377,f301]) ).

fof(f969,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl0_1 ),
    inference(duplicate_literal_removal,[],[f967]) ).

fof(f971,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0)
        | nil = X0 )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f969,f401]) ).

fof(f2848,plain,
    ! [X0] :
      ( ~ segmentP(sk4,X0)
      | ~ ssList(sk6)
      | ~ ssList(sk5)
      | ~ ssList(X0)
      | ~ ssList(sk3)
      | segmentP(sk3,X0) ),
    inference(superposition,[],[f349,f209]) ).

fof(f2851,plain,
    ( nil != sk4
    | ~ ssList(sk6)
    | ~ ssList(app(sk5,sk3))
    | nil = sk6 ),
    inference(superposition,[],[f124,f209]) ).

fof(f2870,plain,
    ! [X0] :
      ( ~ segmentP(sk4,X0)
      | ~ ssList(sk5)
      | ~ ssList(X0)
      | ~ ssList(sk3)
      | segmentP(sk3,X0) ),
    inference(forward_subsumption_resolution,[],[f2848,f207]) ).

fof(f2881,plain,
    ! [X0] :
      ( ~ segmentP(sk4,X0)
      | ~ ssList(X0)
      | ~ ssList(sk3)
      | segmentP(sk3,X0) ),
    inference(forward_subsumption_resolution,[],[f2870,f206]) ).

fof(f2883,plain,
    ! [X0] :
      ( ~ segmentP(sk4,X0)
      | ~ ssList(X0)
      | segmentP(sk3,X0) ),
    inference(forward_subsumption_resolution,[],[f2881,f202]) ).

fof(f5008,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | ~ ssList(X0)
        | nil = X0 )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f971,f2883]) ).

fof(f5009,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f5008,f273]) ).

fof(f5013,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f5009]) ).

fof(f5015,plain,
    ( nil = sk3
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f5013,f202]) ).

fof(f5041,plain,
    ( nil != sk4
    | ~ ssList(app(sk5,sk3))
    | nil = sk6 ),
    inference(forward_subsumption_resolution,[],[f2851,f207]) ).

fof(f5060,plain,
    ( spl0_2
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f5015,f400,f376,f379]) ).

fof(f5069,plain,
    ( nil != sk4
    | nil = sk6
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f5041,f785]) ).

fof(f5082,plain,
    ( nil != sk4
    | spl0_14
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f5069,f701]) ).

fof(f5089,plain,
    ( ~ spl0_4
    | spl0_14
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f5082,f784,f700,f389]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s5,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s15,plain,
    spl0_6,
    inference(sat_conversion,[],[f436]) ).

cnf(s20,plain,
    ( ~ spl0_4
    | spl0_19
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s22,plain,
    spl0_20,
    inference(sat_conversion,[],[f820]) ).

cnf(s25,plain,
    ( spl0_16
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s26,plain,
    ( spl0_2
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s36,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s271,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f5060]) ).

cnf(s279,plain,
    ( ~ spl0_4
    | spl0_14
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f5089]) ).

cnf(s283,plain,
    ( ~ spl0_4
    | spl0_19 ),
    inference(rat,[],[s20,s22]) ).

cnf(s288,plain,
    spl0_1,
    inference(rat,[],[s26,s283,s1,s3]) ).

cnf(s289,plain,
    spl0_2,
    inference(rat,[],[s271,s15,s288]) ).

cnf(s291,plain,
    spl0_4,
    inference(rat,[],[s5,s289]) ).

cnf(s292,plain,
    ~ spl0_3,
    inference(rat,[],[s2,s289]) ).

cnf(s293,plain,
    spl0_14,
    inference(rat,[],[s279,s22,s291]) ).

cnf(s295,plain,
    spl0_19,
    inference(rat,[],[s283,s291]) ).

cnf(s300,plain,
    ~ spl0_16,
    inference(rat,[],[s36,s292,s288,s293]) ).

cnf(s301,plain,
    $false,
    inference(rat,[],[s25,s295,s300]) ).

fof(f5097,plain,
    $false,
    inference(avatar_sat_refutation,[],[s301]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC067-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n010.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 07:42:47 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.94/0.57  % (1748238)Will run a generic schedule for satisfiability detection.
% 0.94/0.57  % (1748247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1335708654:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.94/0.57  % (1748244)% WARNING: option uhcvi not known.
% 0.94/0.57  % (1748243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1836348396_2999 on theBenchmark for (2999ds/0Mi)
% 0.94/0.57  % (1748244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2552193809:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.94/0.57  % (1748246)dis+10_1_sil=32000:sp=arity:random_seed=1872382185:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.94/0.57  % (1748248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2521653727:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.94/0.57  % (1748249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2102904154:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.94/0.57  % (1748245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3485187427:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.94/0.57  % TRYING [1]
% 0.94/0.57  % TRYING [2]
% 0.94/0.57  % TRYING [3]
% 0.94/0.57  % (1748247)Instruction limit reached! 
% 0.94/0.57  % (1748247)------------------------------
% 0.94/0.57  % (1748247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.57  % (1748247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.57  % (1748247)CaDiCaL version: 2.1.3
% 0.94/0.57  % (1748247)Termination reason: Instruction limit
% 0.94/0.57  % (1748247)Termination phase: Saturation
% 0.94/0.57  % (1748247)Time elapsed: 0.035 s
% 0.94/0.57  % (1748247)Peak memory usage: 13 MB
% 0.94/0.57  % (1748247)Instructions burned: 119 (million)
% 0.94/0.57  % TRYING [4]
% 0.94/0.57  % (1748257)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3264579439:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.94/0.57  % TRYING [1]
% 0.94/0.57  % TRYING [2]
% 0.94/0.57  % TRYING [3]
% 0.94/0.57  % (1748246)Instruction limit reached! 
% 0.94/0.57  % (1748246)------------------------------
% 0.94/0.57  % (1748246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.57  % (1748246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.57  % (1748246)CaDiCaL version: 2.1.3
% 0.94/0.57  % (1748246)Termination reason: Instruction limit
% 0.94/0.57  % (1748246)Termination phase: Saturation
% 0.94/0.57  % (1748246)Time elapsed: 0.061 s
% 0.94/0.57  % (1748246)Peak memory usage: 13 MB
% 0.94/0.57  % (1748246)Instructions burned: 104 (million)
% 0.94/0.57  % TRYING [4]
% 0.94/0.57  % (1748248)Instruction limit reached! 
% 0.94/0.57  % (1748248)------------------------------
% 0.94/0.57  % (1748248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.57  % (1748248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.57  % (1748248)CaDiCaL version: 2.1.3
% 0.94/0.57  % (1748248)Termination reason: Instruction limit
% 0.94/0.57  % (1748248)Termination phase: Saturation
% 0.94/0.57  % (1748248)Time elapsed: 0.070 s
% 0.94/0.57  % (1748248)Peak memory usage: 14 MB
% 0.94/0.57  % (1748248)Instructions burned: 135 (million)
% 0.94/0.57  % (1748259)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1263520991:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.94/0.57  % (1748260)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=2654248208:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.94/0.57  % (1748249)Instruction limit reached! 
% 0.94/0.57  % (1748249)------------------------------
% 0.94/0.57  % (1748249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.57  % (1748249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.57  % (1748249)CaDiCaL version: 2.1.3
% 0.94/0.57  % (1748249)Termination reason: Instruction limit
% 0.94/0.57  % (1748249)Termination phase: Saturation
% 0.94/0.57  % (1748249)Time elapsed: 0.093 s
% 0.94/0.57  % (1748249)Peak memory usage: 14 MB
% 0.94/0.57  % (1748249)Instructions burned: 159 (million)
% 0.94/0.57  % TRYING [5]
% 0.94/0.57  % TRYING [5]
% 0.94/0.57  % (1748244) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1748238-1748244"...
% 0.94/0.57  % (1748244)...printing done.
% 0.94/0.57  % (1748244)Refutation found. Thanks to Tanya!
% 0.94/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.94/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.94/0.58  % (1748244)------------------------------
% 0.94/0.58  % (1748244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.58  % (1748244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.58  % (1748244)CaDiCaL version: 2.1.3
% 0.94/0.58  % (1748244)Termination reason: Refutation
% 0.94/0.58  % (1748244)Time elapsed: 0.106 s
% 0.94/0.58  % (1748244)Peak memory usage: 15 MB
% 0.94/0.58  % (1748244)Instructions burned: 170 (million)
% 0.94/0.58  % (1748238)Success in time 0.151 s
% 0.94/0.58  % Vampire exiting
%------------------------------------------------------------------------------