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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC004+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 : 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 01:04:14 PM UTC 2026

% Result   : Theorem 0.16s 0.56s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  117 (  16 unt;  10 def)
%            Number of atoms       :  384 (  65 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  460 ( 193   ~; 197   |;  38   &)
%                                         (  12 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  11 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   76 (   0 sgn  56   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
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(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).

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)
                            & ? [X5] :
                                ( ssList(X5)
                                & ? [X6] :
                                    ( ssList(X6)
                                    & app(app(X4,X5),X6) = X1
                                    & app(X4,X6) = X0
                                    & neq(X5,nil) ) ) )
                        | ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssList(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => ( app(app(X8,cons(X7,nil)),X9) != X3
                                      | app(X8,X9) != X2 ) ) ) ) )
                      & ( ~ 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)
                              & ? [X5] :
                                  ( ssList(X5)
                                  & ? [X6] :
                                      ( ssList(X6)
                                      & app(app(X4,X5),X6) = X1
                                      & app(X4,X6) = X0
                                      & neq(X5,nil) ) ) )
                          | ! [X7] :
                              ( ssItem(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => ! [X9] :
                                      ( ssList(X9)
                                     => ( app(app(X8,cons(X7,nil)),X9) != X3
                                        | app(X8,X9) != X2 ) ) ) ) )
                        & ( ~ neq(X1,nil)
                          | neq(X3,nil) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

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(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ( ( neq(X1,nil)
                      & ! [X4] :
                          ( ~ ssList(X4)
                          | ! [X5] :
                              ( ~ ssList(X5)
                              | ! [X6] :
                                  ( ~ ssList(X6)
                                  | app(app(X4,X5),X6) != X1
                                  | app(X4,X6) != X0
                                  | ~ neq(X5,nil) ) ) )
                      & ? [X7] :
                          ( ? [X8] :
                              ( ? [X9] :
                                  ( app(app(X8,cons(X7,nil)),X9) = X3
                                  & app(X8,X9) = X2
                                  & ssList(X9) )
                              & ssList(X8) )
                          & ssItem(X7) ) )
                    | ( 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)
                          | ! [X5] :
                              ( ~ ssList(X5)
                              | ! [X6] :
                                  ( ~ ssList(X6)
                                  | app(app(X4,X5),X6) != X1
                                  | app(X4,X6) != X0
                                  | ~ neq(X5,nil) ) ) )
                      & ? [X7] :
                          ( ? [X8] :
                              ( ? [X9] :
                                  ( app(app(X8,cons(X7,nil)),X9) = X3
                                  & app(X8,X9) = X2
                                  & ssList(X9) )
                              & ssList(X8) )
                          & ssItem(X7) ) )
                    | ( neq(X1,nil)
                      & ~ neq(X3,nil) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    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(f313,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f411,plain,
    ! [X6,X4,X5] :
      ( ~ neq(sK50,nil)
      | ~ neq(X5,nil)
      | app(X4,X6) != sK47
      | app(app(X4,X5),X6) != sK48
      | ~ ssList(X6)
      | ~ ssList(X5)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f412,plain,
    ! [X6,X4,X5] :
      ( neq(sK48,nil)
      | ~ neq(X5,nil)
      | app(X4,X6) != sK47
      | app(app(X4,X5),X6) != sK48
      | ~ ssList(X6)
      | ~ ssList(X5)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f413,plain,
    ( ~ neq(sK50,nil)
    | ssList(sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f414,plain,
    ( ~ neq(sK50,nil)
    | sK49 = app(sK52,sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    ( ~ neq(sK50,nil)
    | sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f416,plain,
    ( neq(sK48,nil)
    | ssList(sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    ( neq(sK48,nil)
    | sK49 = app(sK52,sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f418,plain,
    ( neq(sK48,nil)
    | sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f419,plain,
    ( neq(sK48,nil)
    | ssList(sK52) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f420,plain,
    ( ~ neq(sK50,nil)
    | ssList(sK52) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f421,plain,
    ( ~ neq(sK50,nil)
    | ssItem(sK51) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f422,plain,
    ( neq(sK48,nil)
    | ssItem(sK51) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f426,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f427,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f435,plain,
    ( neq(sK50,nil)
    | ssItem(sK51) ),
    inference(definition_unfolding,[],[f422,f427]) ).

fof(f436,plain,
    ( neq(sK50,nil)
    | ssList(sK52) ),
    inference(definition_unfolding,[],[f419,f427]) ).

fof(f437,plain,
    ( neq(sK50,nil)
    | sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
    inference(definition_unfolding,[],[f418,f427]) ).

fof(f438,plain,
    ( neq(sK50,nil)
    | sK49 = app(sK52,sK53) ),
    inference(definition_unfolding,[],[f417,f427]) ).

fof(f439,plain,
    ( neq(sK50,nil)
    | ssList(sK53) ),
    inference(definition_unfolding,[],[f416,f427]) ).

fof(f440,plain,
    ! [X6,X4,X5] :
      ( neq(sK50,nil)
      | ~ neq(X5,nil)
      | app(X4,X6) != sK49
      | app(app(X4,X5),X6) != sK50
      | ~ ssList(X6)
      | ~ ssList(X5)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f412,f427,f426,f427]) ).

fof(f441,plain,
    ! [X6,X4,X5] :
      ( ~ neq(sK50,nil)
      | ~ neq(X5,nil)
      | app(X4,X6) != sK49
      | app(app(X4,X5),X6) != sK50
      | ~ ssList(X6)
      | ~ ssList(X5)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f411,f426,f427]) ).

fof(f475,definition,
    ( spl54_1
  <=> ! [X6,X4,X5] :
        ( ~ neq(X5,nil)
        | ~ ssList(X4)
        | ~ ssList(X5)
        | ~ ssList(X6)
        | app(app(X4,X5),X6) != sK50
        | app(X4,X6) != sK49 ) ),
    introduced(definition,[new_symbols(definition,[spl54_1])],[avatar_definition]) ).

fof(f476,plain,
    ( ! [X6,X4,X5] :
        ( app(app(X4,X5),X6) != sK50
        | ~ ssList(X4)
        | ~ ssList(X5)
        | ~ ssList(X6)
        | ~ neq(X5,nil)
        | app(X4,X6) != sK49 )
    | ~ spl54_1 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f478,definition,
    ( spl54_2
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl54_2])],[avatar_definition]) ).

fof(f481,plain,
    ( spl54_1
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f441,f478,f475]) ).

fof(f482,plain,
    ( spl54_1
    | spl54_2 ),
    inference(avatar_split_clause,[],[f440,f478,f475]) ).

fof(f484,definition,
    ( spl54_3
  <=> ssList(sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_3])],[avatar_definition]) ).

fof(f486,plain,
    ( ssList(sK53)
    | ~ spl54_3 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f487,plain,
    ( spl54_3
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f413,f478,f484]) ).

fof(f489,definition,
    ( spl54_4
  <=> sK49 = app(sK52,sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_4])],[avatar_definition]) ).

fof(f491,plain,
    ( sK49 = app(sK52,sK53)
    | ~ spl54_4 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f492,plain,
    ( spl54_4
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f414,f478,f489]) ).

fof(f494,definition,
    ( spl54_5
  <=> sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_5])],[avatar_definition]) ).

fof(f496,plain,
    ( sK50 = app(app(sK52,cons(sK51,nil)),sK53)
    | ~ spl54_5 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f497,plain,
    ( spl54_5
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f415,f478,f494]) ).

fof(f498,plain,
    ( spl54_3
    | spl54_2 ),
    inference(avatar_split_clause,[],[f439,f478,f484]) ).

fof(f499,plain,
    ( spl54_4
    | spl54_2 ),
    inference(avatar_split_clause,[],[f438,f478,f489]) ).

fof(f500,plain,
    ( spl54_5
    | spl54_2 ),
    inference(avatar_split_clause,[],[f437,f478,f494]) ).

fof(f502,definition,
    ( spl54_6
  <=> ssList(sK52) ),
    introduced(definition,[new_symbols(definition,[spl54_6])],[avatar_definition]) ).

fof(f504,plain,
    ( ssList(sK52)
    | ~ spl54_6 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f505,plain,
    ( spl54_6
    | spl54_2 ),
    inference(avatar_split_clause,[],[f436,f478,f502]) ).

fof(f506,plain,
    ( spl54_6
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f420,f478,f502]) ).

fof(f508,definition,
    ( spl54_7
  <=> ssItem(sK51) ),
    introduced(definition,[new_symbols(definition,[spl54_7])],[avatar_definition]) ).

fof(f510,plain,
    ( ssItem(sK51)
    | ~ spl54_7 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f511,plain,
    ( spl54_7
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f421,f478,f508]) ).

fof(f512,plain,
    ( spl54_7
    | spl54_2 ),
    inference(avatar_split_clause,[],[f435,f478,f508]) ).

fof(f547,plain,
    ( sK50 != sK50
    | ~ ssList(sK52)
    | ~ ssList(cons(sK51,nil))
    | ~ ssList(sK53)
    | ~ neq(cons(sK51,nil),nil)
    | sK49 != app(sK52,sK53)
    | ~ spl54_1
    | ~ spl54_5 ),
    inference(superposition,[],[f476,f496]) ).

fof(f548,plain,
    ( ~ ssList(sK52)
    | ~ ssList(cons(sK51,nil))
    | ~ ssList(sK53)
    | ~ neq(cons(sK51,nil),nil)
    | sK49 != app(sK52,sK53)
    | ~ spl54_1
    | ~ spl54_5 ),
    inference(trivial_inequality_removal,[],[f547]) ).

fof(f549,plain,
    ( ~ ssList(cons(sK51,nil))
    | ~ ssList(sK53)
    | ~ neq(cons(sK51,nil),nil)
    | sK49 != app(sK52,sK53)
    | ~ spl54_1
    | ~ spl54_5
    | ~ spl54_6 ),
    inference(forward_subsumption_resolution,[],[f548,f504]) ).

fof(f552,plain,
    ( ~ ssList(cons(sK51,nil))
    | ~ neq(cons(sK51,nil),nil)
    | sK49 != app(sK52,sK53)
    | ~ spl54_1
    | ~ spl54_3
    | ~ spl54_5
    | ~ spl54_6 ),
    inference(forward_subsumption_resolution,[],[f549,f486]) ).

fof(f566,plain,
    ( ~ ssList(cons(sK51,nil))
    | ~ neq(cons(sK51,nil),nil)
    | ~ spl54_1
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_5
    | ~ spl54_6 ),
    inference(forward_subsumption_resolution,[],[f552,f491]) ).

fof(f572,definition,
    ( spl54_19
  <=> neq(cons(sK51,nil),nil) ),
    introduced(definition,[new_symbols(definition,[spl54_19])],[avatar_definition]) ).

fof(f574,plain,
    ( ~ neq(cons(sK51,nil),nil)
    | spl54_19 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f576,definition,
    ( spl54_20
  <=> ssList(cons(sK51,nil)) ),
    introduced(definition,[new_symbols(definition,[spl54_20])],[avatar_definition]) ).

fof(f577,plain,
    ( ssList(cons(sK51,nil))
    | ~ spl54_20 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f578,plain,
    ( ~ ssList(cons(sK51,nil))
    | spl54_20 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f579,plain,
    ( ~ spl54_19
    | ~ spl54_20
    | ~ spl54_1
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_5
    | ~ spl54_6 ),
    inference(avatar_split_clause,[],[f566,f502,f494,f489,f484,f475,f576,f572]) ).

fof(f653,plain,
    ( ~ ssItem(sK51)
    | ~ ssList(nil)
    | spl54_20 ),
    inference(resolution,[],[f305,f578]) ).

fof(f656,plain,
    ( ~ ssList(nil)
    | ~ spl54_7
    | spl54_20 ),
    inference(forward_subsumption_resolution,[],[f653,f510]) ).

fof(f657,plain,
    ( $false
    | ~ spl54_7
    | spl54_20 ),
    inference(forward_subsumption_resolution,[],[f656,f306]) ).

fof(f658,plain,
    ( ~ spl54_7
    | spl54_20 ),
    inference(avatar_contradiction_clause,[],[f657]) ).

fof(f691,definition,
    ( spl54_29
  <=> nil = cons(sK51,nil) ),
    introduced(definition,[new_symbols(definition,[spl54_29])],[avatar_definition]) ).

fof(f692,plain,
    ( nil != cons(sK51,nil)
    | spl54_29 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f693,plain,
    ( nil = cons(sK51,nil)
    | ~ spl54_29 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f712,plain,
    ( nil != nil
    | ~ ssItem(sK51)
    | ~ ssList(nil)
    | ~ spl54_29 ),
    inference(superposition,[],[f313,f693]) ).

fof(f716,plain,
    ( ~ ssItem(sK51)
    | ~ ssList(nil)
    | ~ spl54_29 ),
    inference(trivial_inequality_removal,[],[f712]) ).

fof(f718,plain,
    ( ~ ssList(nil)
    | ~ spl54_7
    | ~ spl54_29 ),
    inference(forward_subsumption_resolution,[],[f716,f510]) ).

fof(f723,plain,
    ( $false
    | ~ spl54_7
    | ~ spl54_29 ),
    inference(forward_subsumption_resolution,[],[f718,f306]) ).

fof(f724,plain,
    ( ~ spl54_7
    | ~ spl54_29 ),
    inference(avatar_contradiction_clause,[],[f723]) ).

fof(f727,plain,
    ( ~ ssList(nil)
    | nil = cons(sK51,nil)
    | ~ ssList(cons(sK51,nil))
    | spl54_19 ),
    inference(resolution,[],[f303,f574]) ).

fof(f730,plain,
    ( nil = cons(sK51,nil)
    | ~ ssList(cons(sK51,nil))
    | spl54_19 ),
    inference(forward_subsumption_resolution,[],[f727,f306]) ).

fof(f731,plain,
    ( ~ ssList(cons(sK51,nil))
    | spl54_19
    | spl54_29 ),
    inference(forward_subsumption_resolution,[],[f730,f692]) ).

fof(f732,plain,
    ( $false
    | spl54_19
    | ~ spl54_20
    | spl54_29 ),
    inference(forward_subsumption_resolution,[],[f731,f577]) ).

fof(f733,plain,
    ( spl54_19
    | ~ spl54_20
    | spl54_29 ),
    inference(avatar_contradiction_clause,[],[f732]) ).

cnf(s1,plain,
    ( spl54_1
    | ~ spl54_2 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s2,plain,
    ( spl54_1
    | spl54_2 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s3,plain,
    ( ~ spl54_2
    | spl54_3 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s4,plain,
    ( ~ spl54_2
    | spl54_4 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s5,plain,
    ( ~ spl54_2
    | spl54_5 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s6,plain,
    ( spl54_2
    | spl54_3 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s7,plain,
    ( spl54_2
    | spl54_4 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s8,plain,
    ( spl54_2
    | spl54_5 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s9,plain,
    ( spl54_2
    | spl54_6 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s10,plain,
    ( ~ spl54_2
    | spl54_6 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s11,plain,
    ( ~ spl54_2
    | spl54_7 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s12,plain,
    ( spl54_2
    | spl54_7 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s21,plain,
    ( ~ spl54_1
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_5
    | ~ spl54_6
    | ~ spl54_19
    | ~ spl54_20 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s26,plain,
    ( ~ spl54_7
    | spl54_20 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s29,plain,
    ( ~ spl54_7
    | ~ spl54_29 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s30,plain,
    ( spl54_19
    | ~ spl54_20
    | spl54_29 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s31,plain,
    spl54_1,
    inference(rat,[],[s1,s2]) ).

cnf(s32,plain,
    ~ spl54_2,
    inference(rat,[],[s30,s21,s26,s29,s3,s4,s5,s10,s11,s31]) ).

cnf(s33,plain,
    spl54_7,
    inference(rat,[],[s12,s32]) ).

cnf(s34,plain,
    spl54_6,
    inference(rat,[],[s9,s32]) ).

cnf(s35,plain,
    spl54_5,
    inference(rat,[],[s8,s32]) ).

cnf(s36,plain,
    spl54_4,
    inference(rat,[],[s7,s32]) ).

cnf(s37,plain,
    spl54_3,
    inference(rat,[],[s6,s32]) ).

cnf(s38,plain,
    ~ spl54_29,
    inference(rat,[],[s29,s33]) ).

cnf(s39,plain,
    spl54_20,
    inference(rat,[],[s26,s33]) ).

cnf(s40,plain,
    ~ spl54_19,
    inference(rat,[],[s21,s39,s36,s34,s35,s31,s37]) ).

cnf(s41,plain,
    $false,
    inference(rat,[],[s30,s38,s39,s40]) ).

fof(f734,plain,
    $false,
    inference(avatar_sat_refutation,[],[s41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC004+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n001.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 07:30:03 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42  Running first-order model finding
% 0.10/0.42  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
% 0.16/0.56  % (186598)Will run a generic schedule for satisfiability detection.
% 0.16/0.56  % (186609)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=970169238:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56  % (186605)% WARNING: option uhcvi not known.
% 0.16/0.56  % (186604)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2301566086_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.56  % (186605)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3848065222:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.56  % (186607)dis+10_1_sil=32000:sp=arity:random_seed=619732263:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.56  % (186606)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4282264336:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.56  % (186608)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3158695148:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.56  % (186610)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2302150211:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.56  % TRYING [1]
% 0.16/0.56  % TRYING [2]
% 0.16/0.56  % TRYING [3]
% 0.16/0.56  % (186609)Instruction limit reached! 
% 0.16/0.56  % (186609)------------------------------
% 0.16/0.56  % (186609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56  % (186609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56  % (186609)CaDiCaL version: 2.1.3
% 0.16/0.56  % (186609)Termination reason: Instruction limit
% 0.16/0.56  % (186609)Termination phase: Saturation
% 0.16/0.56  % (186609)Time elapsed: 0.042 s
% 0.16/0.56  % (186609)Peak memory usage: 14 MB
% 0.16/0.56  % (186609)Instructions burned: 131 (million)
% 0.16/0.56  % TRYING [4]
% 0.16/0.56  % (186618)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3218899033:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.56  % TRYING [1]
% 0.16/0.56  % TRYING [2]
% 0.16/0.56  % TRYING [3]
% 0.16/0.56  % (186607)Instruction limit reached! 
% 0.16/0.56  % (186607)------------------------------
% 0.16/0.56  % (186607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56  % (186607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56  % (186607)CaDiCaL version: 2.1.3
% 0.16/0.56  % (186607)Termination reason: Instruction limit
% 0.16/0.56  % (186607)Termination phase: Saturation
% 0.16/0.56  % (186607)Time elapsed: 0.061 s
% 0.16/0.56  % (186607)Peak memory usage: 13 MB
% 0.16/0.56  % (186607)Instructions burned: 103 (million)
% 0.16/0.56  % TRYING [4]
% 0.16/0.56  % (186608)Instruction limit reached! 
% 0.16/0.56  % (186608)------------------------------
% 0.16/0.56  % (186608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56  % (186608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56  % (186608)CaDiCaL version: 2.1.3
% 0.16/0.56  % (186608)Termination reason: Instruction limit
% 0.16/0.56  % (186608)Termination phase: Saturation
% 0.16/0.56  % (186608)Time elapsed: 0.068 s
% 0.16/0.56  % (186608)Peak memory usage: 13 MB
% 0.16/0.56  % (186608)Instructions burned: 117 (million)
% 0.16/0.56  % (186620)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4099079729:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56  % (186621)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=152647382:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.16/0.56  % TRYING [5]
% 0.16/0.56  % (186621) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-186598-186621"...
% 0.16/0.56  % (186621)...printing done.
% 0.16/0.56  % TRYING [5]
% 0.16/0.56  % (186621)Refutation found. Thanks to Tanya!
% 0.16/0.56  % SZS status Theorem for theBenchmark
% 0.16/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56  % (186621)------------------------------
% 0.16/0.56  % (186621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56  % (186621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56  % (186621)CaDiCaL version: 2.1.3
% 0.16/0.56  % (186621)Termination reason: Refutation
% 0.16/0.56  % (186621)Time elapsed: 0.013 s
% 0.16/0.56  % (186621)Peak memory usage: 13 MB
% 0.16/0.56  % (186621)Instructions burned: 18 (million)
% 0.16/0.56  % (186598)Success in time 0.129 s
% 0.16/0.56  % Vampire exiting
%------------------------------------------------------------------------------