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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC366+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 : 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 01:05:44 PM UTC 2026

% Result   : Theorem 0.20s 0.27s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  112 (  22 unt;   9 def)
%            Number of atoms       :  370 (  58 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  449 ( 191   ~; 191   |;  36   &)
%                                         (  13 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  10 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   78 (   0 sgn  62   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X2,X1) = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ( ( ~ neq(X1,nil)
                        | ? [X4] :
                            ( ssList(X4)
                            & X3 != X4
                            & ? [X5] :
                                ( ssList(X5)
                                & app(X5,X2) = X4
                                & ? [X6] :
                                    ( ssItem(X6)
                                    & cons(X6,nil) = X5
                                    & hd(X3) = X6
                                    & neq(nil,X3) ) ) )
                        | rearsegP(X1,X0) )
                      & ( ~ neq(X1,nil)
                        | neq(X3,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ( ( ~ neq(X1,nil)
                          | ? [X4] :
                              ( ssList(X4)
                              & X3 != X4
                              & ? [X5] :
                                  ( ssList(X5)
                                  & app(X5,X2) = X4
                                  & ? [X6] :
                                      ( ssItem(X6)
                                      & cons(X6,nil) = X5
                                      & hd(X3) = X6
                                      & neq(nil,X3) ) ) )
                          | rearsegP(X1,X0) )
                        & ( ~ neq(X1,nil)
                          | neq(X3,nil) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X2,X1) = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f126,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f126]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ( ( neq(X1,nil)
                      & ! [X4] :
                          ( ~ ssList(X4)
                          | X3 = X4
                          | ! [X5] :
                              ( ~ ssList(X5)
                              | app(X5,X2) != X4
                              | ! [X6] :
                                  ( ~ ssItem(X6)
                                  | cons(X6,nil) != X5
                                  | hd(X3) != X6
                                  | ~ neq(nil,X3) ) ) )
                      & ~ rearsegP(X1,X0) )
                    | ( neq(X1,nil)
                      & ~ neq(X3,nil) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ( ( neq(X1,nil)
                      & ! [X4] :
                          ( ~ ssList(X4)
                          | X3 = X4
                          | ! [X5] :
                              ( ~ ssList(X5)
                              | app(X5,X2) != X4
                              | ! [X6] :
                                  ( ~ ssItem(X6)
                                  | cons(X6,nil) != X5
                                  | hd(X3) != X6
                                  | ~ neq(nil,X3) ) ) )
                      & ~ rearsegP(X1,X0) )
                    | ( neq(X1,nil)
                      & ~ neq(X3,nil) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X2,X1) != X0
      | ~ ssList(X2)
      | rearsegP(X0,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f306,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f314,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f411,plain,
    ! [X6,X4,X5] :
      ( ~ neq(sK50,nil)
      | ~ neq(nil,sK50)
      | hd(sK50) != X6
      | cons(X6,nil) != X5
      | ~ ssItem(X6)
      | app(X5,sK49) != X4
      | ~ ssList(X5)
      | sK50 = X4
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f414,plain,
    neq(sK48,nil),
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    ( ~ neq(sK50,nil)
    | ~ rearsegP(sK48,sK47) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f222]) ).

fof(f418,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f419,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f420,plain,
    ssList(sK49),
    inference(cnf_transformation,[],[f222]) ).

fof(f426,plain,
    ( ~ neq(sK50,nil)
    | ~ rearsegP(sK50,sK49) ),
    inference(definition_unfolding,[],[f415,f419,f418]) ).

fof(f427,plain,
    neq(sK50,nil),
    inference(definition_unfolding,[],[f414,f419]) ).

fof(f434,plain,
    ! [X2,X1] :
      ( ~ ssList(app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | rearsegP(app(X2,X1),X1) ),
    inference(equality_resolution,[],[f240]) ).

fof(f444,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f304]) ).

fof(f458,plain,
    ! [X4,X5] :
      ( ~ neq(sK50,nil)
      | ~ neq(nil,sK50)
      | cons(hd(sK50),nil) != X5
      | ~ ssItem(hd(sK50))
      | app(X5,sK49) != X4
      | ~ ssList(X5)
      | sK50 = X4
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f411]) ).

fof(f459,plain,
    ! [X4] :
      ( ~ neq(sK50,nil)
      | ~ neq(nil,sK50)
      | ~ ssItem(hd(sK50))
      | app(cons(hd(sK50),nil),sK49) != X4
      | ~ ssList(cons(hd(sK50),nil))
      | sK50 = X4
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f458]) ).

fof(f460,plain,
    ( ~ neq(sK50,nil)
    | ~ neq(nil,sK50)
    | ~ ssItem(hd(sK50))
    | ~ ssList(cons(hd(sK50),nil))
    | sK50 = app(cons(hd(sK50),nil),sK49)
    | ~ ssList(app(cons(hd(sK50),nil),sK49)) ),
    inference(equality_resolution,[],[f459]) ).

fof(f466,plain,
    ! [X2,X1] :
      ( ~ ssList(app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ rearsegP(app(X2,X1),X1) ),
    inference(consistent_polarity_flipping,[],[f434]) ).

fof(f515,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | neq(X1,X1) ),
    inference(consistent_polarity_flipping,[],[f444]) ).

fof(f516,plain,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f303]) ).

fof(f548,plain,
    ( neq(sK50,nil)
    | rearsegP(sK50,sK49) ),
    inference(consistent_polarity_flipping,[],[f426]) ).

fof(f549,plain,
    ~ neq(sK50,nil),
    inference(consistent_polarity_flipping,[],[f427]) ).

fof(f552,plain,
    ( neq(sK50,nil)
    | neq(nil,sK50)
    | ~ ssItem(hd(sK50))
    | ~ ssList(cons(hd(sK50),nil))
    | sK50 = app(cons(hd(sK50),nil),sK49)
    | ~ ssList(app(cons(hd(sK50),nil),sK49)) ),
    inference(consistent_polarity_flipping,[],[f460]) ).

fof(f557,plain,
    ! [X1] :
      ( neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f515]) ).

fof(f561,definition,
    ( spl51_1
  <=> ssList(app(cons(hd(sK50),nil),sK49)) ),
    introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).

fof(f563,plain,
    ( ~ ssList(app(cons(hd(sK50),nil),sK49))
    | spl51_1 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f565,definition,
    ( spl51_2
  <=> sK50 = app(cons(hd(sK50),nil),sK49) ),
    introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).

fof(f567,plain,
    ( sK50 = app(cons(hd(sK50),nil),sK49)
    | ~ spl51_2 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f569,definition,
    ( spl51_3
  <=> ssList(cons(hd(sK50),nil)) ),
    introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).

fof(f570,plain,
    ( ssList(cons(hd(sK50),nil))
    | ~ spl51_3 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( ~ ssList(cons(hd(sK50),nil))
    | spl51_3 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f573,definition,
    ( spl51_4
  <=> ssItem(hd(sK50)) ),
    introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ ssItem(hd(sK50))
    | spl51_4 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f577,definition,
    ( spl51_5
  <=> neq(nil,sK50) ),
    introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).

fof(f579,plain,
    ( neq(nil,sK50)
    | ~ spl51_5 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f581,definition,
    ( spl51_6
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).

fof(f582,plain,
    ( ~ neq(sK50,nil)
    | spl51_6 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f584,plain,
    ( ~ spl51_1
    | spl51_2
    | ~ spl51_3
    | ~ spl51_4
    | spl51_5
    | spl51_6 ),
    inference(avatar_split_clause,[],[f552,f581,f577,f573,f569,f565,f561]) ).

fof(f587,definition,
    ( spl51_7
  <=> rearsegP(sK50,sK49) ),
    introduced(definition,[new_symbols(definition,[spl51_7])],[avatar_definition]) ).

fof(f589,plain,
    ( rearsegP(sK50,sK49)
    | ~ spl51_7 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f591,plain,
    ~ spl51_6,
    inference(avatar_split_clause,[],[f549,f581]) ).

fof(f592,plain,
    ( spl51_7
    | spl51_6 ),
    inference(avatar_split_clause,[],[f548,f581,f587]) ).

fof(f598,definition,
    ( spl51_9
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl51_9])],[avatar_definition]) ).

fof(f599,plain,
    ( ssList(nil)
    | ~ spl51_9 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f627,plain,
    spl51_9,
    inference(avatar_split_clause,[],[f306,f598]) ).

fof(f652,plain,
    ( ~ ssList(sK49)
    | ~ ssList(cons(hd(sK50),nil))
    | spl51_1 ),
    inference(resolution,[],[f318,f563]) ).

fof(f661,plain,
    ( ~ ssList(cons(hd(sK50),nil))
    | spl51_1 ),
    inference(forward_subsumption_resolution,[],[f652,f420]) ).

fof(f662,plain,
    ( ~ spl51_3
    | spl51_1 ),
    inference(avatar_split_clause,[],[f661,f561,f569]) ).

fof(f663,plain,
    ( ~ ssItem(hd(sK50))
    | ~ ssList(nil)
    | spl51_3 ),
    inference(resolution,[],[f571,f305]) ).

fof(f664,plain,
    ( ~ ssItem(hd(sK50))
    | spl51_3
    | ~ spl51_9 ),
    inference(forward_subsumption_resolution,[],[f663,f599]) ).

fof(f665,plain,
    ( ~ spl51_4
    | spl51_3
    | ~ spl51_9 ),
    inference(avatar_split_clause,[],[f664,f598,f569,f573]) ).

fof(f666,plain,
    ( nil = sK50
    | ~ ssList(sK50)
    | spl51_4 ),
    inference(resolution,[],[f575,f314]) ).

fof(f667,plain,
    ( nil = sK50
    | spl51_4 ),
    inference(forward_subsumption_resolution,[],[f666,f417]) ).

fof(f677,plain,
    ( ~ neq(nil,nil)
    | spl51_4
    | spl51_6 ),
    inference(superposition,[],[f582,f667]) ).

fof(f690,plain,
    ( ~ ssList(nil)
    | spl51_4
    | spl51_6 ),
    inference(resolution,[],[f677,f557]) ).

fof(f691,plain,
    ( $false
    | spl51_4
    | spl51_6
    | ~ spl51_9 ),
    inference(forward_subsumption_resolution,[],[f690,f599]) ).

fof(f692,plain,
    ( spl51_4
    | spl51_6
    | ~ spl51_9 ),
    inference(avatar_contradiction_clause,[],[f691]) ).

fof(f805,definition,
    ( spl51_16
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl51_16])],[avatar_definition]) ).

fof(f807,plain,
    ( nil = sK50
    | ~ spl51_16 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f880,plain,
    ( neq(nil,nil)
    | ~ spl51_5
    | ~ spl51_16 ),
    inference(superposition,[],[f579,f807]) ).

fof(f881,plain,
    ( ~ neq(nil,nil)
    | spl51_6
    | ~ spl51_16 ),
    inference(superposition,[],[f582,f807]) ).

fof(f923,plain,
    ( ~ ssList(sK50)
    | nil = sK50
    | ~ ssList(nil)
    | ~ spl51_5 ),
    inference(resolution,[],[f516,f579]) ).

fof(f926,plain,
    ( nil = sK50
    | ~ ssList(nil)
    | ~ spl51_5 ),
    inference(forward_subsumption_resolution,[],[f923,f417]) ).

fof(f931,plain,
    ( nil = sK50
    | ~ spl51_5
    | ~ spl51_9 ),
    inference(forward_subsumption_resolution,[],[f926,f599]) ).

fof(f932,plain,
    ( spl51_16
    | ~ spl51_5
    | ~ spl51_9 ),
    inference(avatar_split_clause,[],[f931,f598,f577,f805]) ).

fof(f963,plain,
    ( $false
    | ~ spl51_5
    | spl51_6
    | ~ spl51_16 ),
    inference(forward_subsumption_resolution,[],[f881,f880]) ).

fof(f964,plain,
    ( ~ spl51_5
    | spl51_6
    | ~ spl51_16 ),
    inference(avatar_contradiction_clause,[],[f963]) ).

fof(f1187,plain,
    ! [X2,X1] :
      ( ~ rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(forward_subsumption_resolution,[],[f466,f318]) ).

fof(f1204,plain,
    ( ~ rearsegP(sK50,sK49)
    | ~ ssList(cons(hd(sK50),nil))
    | ~ ssList(sK49)
    | ~ spl51_2 ),
    inference(superposition,[],[f1187,f567]) ).

fof(f1214,plain,
    ( ~ ssList(cons(hd(sK50),nil))
    | ~ ssList(sK49)
    | ~ spl51_2
    | ~ spl51_7 ),
    inference(forward_subsumption_resolution,[],[f1204,f589]) ).

fof(f1215,plain,
    ( ~ ssList(sK49)
    | ~ spl51_2
    | ~ spl51_3
    | ~ spl51_7 ),
    inference(forward_subsumption_resolution,[],[f1214,f570]) ).

fof(f1216,plain,
    ( $false
    | ~ spl51_2
    | ~ spl51_3
    | ~ spl51_7 ),
    inference(forward_subsumption_resolution,[],[f1215,f420]) ).

fof(f1217,plain,
    ( ~ spl51_2
    | ~ spl51_3
    | ~ spl51_7 ),
    inference(avatar_contradiction_clause,[],[f1216]) ).

cnf(s1,plain,
    ( ~ spl51_1
    | spl51_2
    | ~ spl51_3
    | ~ spl51_4
    | spl51_5
    | spl51_6 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s4,plain,
    ~ spl51_6,
    inference(sat_conversion,[],[f591]) ).

cnf(s5,plain,
    ( spl51_6
    | spl51_7 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s14,plain,
    spl51_9,
    inference(sat_conversion,[],[f627]) ).

cnf(s15,plain,
    ( spl51_1
    | ~ spl51_3 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s16,plain,
    ( spl51_3
    | ~ spl51_4
    | ~ spl51_9 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s17,plain,
    ( spl51_4
    | spl51_6
    | ~ spl51_9 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s30,plain,
    ( ~ spl51_5
    | ~ spl51_9
    | spl51_16 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s31,plain,
    ( ~ spl51_5
    | spl51_6
    | ~ spl51_16 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s42,plain,
    ( ~ spl51_2
    | ~ spl51_3
    | ~ spl51_7 ),
    inference(sat_conversion,[],[f1217]) ).

cnf(s47,plain,
    spl51_4,
    inference(rat,[],[s17,s14,s4]) ).

cnf(s48,plain,
    spl51_7,
    inference(rat,[],[s5,s4]) ).

cnf(s50,plain,
    spl51_3,
    inference(rat,[],[s16,s14,s47]) ).

cnf(s51,plain,
    ~ spl51_2,
    inference(rat,[],[s42,s48,s50]) ).

cnf(s56,plain,
    spl51_1,
    inference(rat,[],[s15,s50]) ).

cnf(s57,plain,
    spl51_5,
    inference(rat,[],[s1,s4,s47,s50,s51,s56]) ).

cnf(s58,plain,
    ~ spl51_16,
    inference(rat,[],[s31,s4,s57]) ).

cnf(s59,plain,
    $false,
    inference(rat,[],[s30,s14,s58,s57]) ).

fof(f1218,plain,
    $false,
    inference(avatar_sat_refutation,[],[s59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC366+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n004.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 09:20:13 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  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
% 0.20/0.27  % (225328)Will run a generic schedule for satisfiability detection.
% 0.20/0.27  % (225334)% WARNING: option uhcvi not known.
% 0.20/0.27  % (225334)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2993519338:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27  % (225333)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4205484457_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27  % (225335)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1546648000:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27  % (225336)dis+10_1_sil=32000:sp=arity:random_seed=53235718:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27  % (225338)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=799199400:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27  % (225337)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=398534157:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27  % (225339)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=506763949:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27  % (225334) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-225328-225334"...
% 0.20/0.27  % (225334)...printing done.
% 0.20/0.27  % (225334)Refutation found. Thanks to Tanya!
% 0.20/0.27  % SZS status Theorem for theBenchmark
% 0.20/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27  % (225334)------------------------------
% 0.20/0.27  % (225334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27  % (225334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27  % (225334)CaDiCaL version: 2.1.3
% 0.20/0.27  % (225334)Termination reason: Refutation
% 0.20/0.27  % (225334)Time elapsed: 0.014 s
% 0.20/0.27  % (225334)Peak memory usage: 13 MB
% 0.20/0.27  % (225334)Instructions burned: 36 (million)
% 0.20/0.27  % (225328)Success in time 0.044 s
% 0.20/0.27  % Vampire exiting
%------------------------------------------------------------------------------