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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC003+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 01:04:14 PM UTC 2026

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  104 (  23 unt;  11 def)
%            Number of atoms       :  371 (  60 equ)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  460 ( 193   ~; 185   |;  48   &)
%                                         (  15 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   78 (   0 sgn  54   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).

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(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax39) ).

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
                                      | ? [X10] :
                                          ( ssItem(X10)
                                          & X7 != X10
                                          & memberP(X3,X10)
                                          & geq(X10,X7) ) ) ) ) ) )
                      & ( ~ 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
                                        | ? [X10] :
                                            ( ssItem(X10)
                                            & X7 != X10
                                            & memberP(X3,X10)
                                            & geq(X10,X7) ) ) ) ) ) )
                        & ( ~ neq(X1,nil)
                          | neq(X3,nil) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f100,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

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(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
                                  & ! [X10] :
                                      ( ~ ssItem(X10)
                                      | X7 = X10
                                      | ~ memberP(X3,X10)
                                      | ~ geq(X10,X7) )
                                  & 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
                                  & ! [X10] :
                                      ( ~ ssItem(X10)
                                      | X7 = X10
                                      | ~ memberP(X3,X10)
                                      | ~ geq(X10,X7) )
                                  & ssList(X9) )
                              & ssList(X8) )
                          & ssItem(X7) ) )
                    | ( neq(X1,nil)
                      & ~ neq(X3,nil) ) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | cons(X1,nil) != X0
      | ~ ssItem(X1)
      | singletonP(X0) ),
    inference(cnf_transformation,[],[f100]) ).

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

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

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

fof(f337,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f413,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(f415,plain,
    ( ~ neq(sK50,nil)
    | ssList(sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f416,plain,
    ( ~ neq(sK50,nil)
    | sK49 = app(sK52,sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    ( ~ neq(sK50,nil)
    | sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f422,plain,
    ( ~ neq(sK50,nil)
    | ssList(sK52) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f423,plain,
    ( ~ neq(sK50,nil)
    | ssItem(sK51) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f425,plain,
    neq(sK48,nil),
    inference(cnf_transformation,[],[f222]) ).

fof(f428,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f429,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f436,plain,
    neq(sK50,nil),
    inference(definition_unfolding,[],[f425,f429]) ).

fof(f443,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,[],[f413,f428,f429]) ).

fof(f447,plain,
    ! [X1] :
      ( ~ ssList(cons(X1,nil))
      | ~ ssItem(X1)
      | singletonP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f234]) ).

fof(f478,plain,
    ! [X1] :
      ( singletonP(cons(X1,nil))
      | ssItem(X1)
      | ~ ssList(cons(X1,nil)) ),
    inference(consistent_polarity_flipping,[],[f447]) ).

fof(f517,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ssItem(X1)
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f305]) ).

fof(f590,plain,
    ( ~ neq(sK50,nil)
    | ~ ssItem(sK51) ),
    inference(consistent_polarity_flipping,[],[f423]) ).

fof(f604,definition,
    ( spl54_2
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl54_2])],[avatar_definition]) ).

fof(f610,definition,
    ( spl54_3
  <=> ! [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_3])],[avatar_definition]) ).

fof(f611,plain,
    ( ! [X6,X4,X5] :
        ( app(app(X4,X5),X6) != sK50
        | ~ ssList(X4)
        | ~ ssList(X5)
        | ~ ssList(X6)
        | ~ neq(X5,nil)
        | app(X4,X6) != sK49 )
    | ~ spl54_3 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f612,plain,
    ( spl54_3
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f443,f604,f610]) ).

fof(f615,definition,
    ( spl54_4
  <=> ssList(sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_4])],[avatar_definition]) ).

fof(f617,plain,
    ( ssList(sK53)
    | ~ spl54_4 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f618,plain,
    ( spl54_4
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f415,f604,f615]) ).

fof(f620,definition,
    ( spl54_5
  <=> sK49 = app(sK52,sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_5])],[avatar_definition]) ).

fof(f622,plain,
    ( sK49 = app(sK52,sK53)
    | ~ spl54_5 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( spl54_5
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f416,f604,f620]) ).

fof(f625,definition,
    ( spl54_6
  <=> sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_6])],[avatar_definition]) ).

fof(f627,plain,
    ( sK50 = app(app(sK52,cons(sK51,nil)),sK53)
    | ~ spl54_6 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( spl54_6
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f417,f604,f625]) ).

fof(f633,definition,
    ( spl54_7
  <=> ssList(sK52) ),
    introduced(definition,[new_symbols(definition,[spl54_7])],[avatar_definition]) ).

fof(f635,plain,
    ( ssList(sK52)
    | ~ spl54_7 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f637,plain,
    ( spl54_7
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f422,f604,f633]) ).

fof(f639,definition,
    ( spl54_8
  <=> ssItem(sK51) ),
    introduced(definition,[new_symbols(definition,[spl54_8])],[avatar_definition]) ).

fof(f641,plain,
    ( ~ ssItem(sK51)
    | spl54_8 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f642,plain,
    ( ~ spl54_8
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f590,f604,f639]) ).

fof(f644,plain,
    spl54_2,
    inference(avatar_split_clause,[],[f436,f604]) ).

fof(f650,definition,
    ( spl54_10
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl54_10])],[avatar_definition]) ).

fof(f651,plain,
    ( ssList(nil)
    | ~ spl54_10 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f679,plain,
    spl54_10,
    inference(avatar_split_clause,[],[f306,f650]) ).

fof(f682,plain,
    ( sK50 != sK50
    | ~ ssList(sK52)
    | ~ ssList(cons(sK51,nil))
    | ~ ssList(sK53)
    | ~ neq(cons(sK51,nil),nil)
    | sK49 != app(sK52,sK53)
    | ~ spl54_3
    | ~ spl54_6 ),
    inference(superposition,[],[f611,f627]) ).

fof(f683,plain,
    ( ~ ssList(sK52)
    | ~ ssList(cons(sK51,nil))
    | ~ ssList(sK53)
    | ~ neq(cons(sK51,nil),nil)
    | sK49 != app(sK52,sK53)
    | ~ spl54_3
    | ~ spl54_6 ),
    inference(trivial_inequality_removal,[],[f682]) ).

fof(f684,plain,
    ( ~ ssList(cons(sK51,nil))
    | ~ ssList(sK53)
    | ~ neq(cons(sK51,nil),nil)
    | sK49 != app(sK52,sK53)
    | ~ spl54_3
    | ~ spl54_6
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f683,f635]) ).

fof(f687,plain,
    ( ~ ssList(cons(sK51,nil))
    | ~ neq(cons(sK51,nil),nil)
    | sK49 != app(sK52,sK53)
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_6
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f684,f617]) ).

fof(f701,plain,
    ( ~ ssList(cons(sK51,nil))
    | ~ neq(cons(sK51,nil),nil)
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_5
    | ~ spl54_6
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f687,f622]) ).

fof(f707,definition,
    ( spl54_20
  <=> neq(cons(sK51,nil),nil) ),
    introduced(definition,[new_symbols(definition,[spl54_20])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ neq(cons(sK51,nil),nil)
    | spl54_20 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f711,definition,
    ( spl54_21
  <=> ssList(cons(sK51,nil)) ),
    introduced(definition,[new_symbols(definition,[spl54_21])],[avatar_definition]) ).

fof(f712,plain,
    ( ssList(cons(sK51,nil))
    | ~ spl54_21 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f713,plain,
    ( ~ ssList(cons(sK51,nil))
    | spl54_21 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f714,plain,
    ( ~ spl54_20
    | ~ spl54_21
    | ~ spl54_3
    | ~ spl54_4
    | ~ spl54_5
    | ~ spl54_6
    | ~ spl54_7 ),
    inference(avatar_split_clause,[],[f701,f633,f625,f620,f615,f610,f711,f707]) ).

fof(f825,plain,
    ( ssItem(sK51)
    | ~ ssList(nil)
    | spl54_21 ),
    inference(resolution,[],[f517,f713]) ).

fof(f828,plain,
    ( ~ ssList(nil)
    | spl54_8
    | spl54_21 ),
    inference(forward_subsumption_resolution,[],[f825,f641]) ).

fof(f829,plain,
    ( $false
    | spl54_8
    | ~ spl54_10
    | spl54_21 ),
    inference(forward_subsumption_resolution,[],[f828,f651]) ).

fof(f830,plain,
    ( spl54_8
    | ~ spl54_10
    | spl54_21 ),
    inference(avatar_contradiction_clause,[],[f829]) ).

fof(f849,plain,
    ( ~ ssList(nil)
    | nil = cons(sK51,nil)
    | ~ ssList(cons(sK51,nil))
    | spl54_20 ),
    inference(resolution,[],[f303,f709]) ).

fof(f858,plain,
    ( nil = cons(sK51,nil)
    | ~ ssList(cons(sK51,nil))
    | ~ spl54_10
    | spl54_20 ),
    inference(forward_subsumption_resolution,[],[f849,f651]) ).

fof(f862,plain,
    ( nil = cons(sK51,nil)
    | ~ spl54_10
    | spl54_20
    | ~ spl54_21 ),
    inference(forward_subsumption_resolution,[],[f858,f712]) ).

fof(f927,definition,
    ( spl54_33
  <=> nil = cons(sK51,nil) ),
    introduced(definition,[new_symbols(definition,[spl54_33])],[avatar_definition]) ).

fof(f929,plain,
    ( nil = cons(sK51,nil)
    | ~ spl54_33 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f1970,plain,
    ( spl54_33
    | ~ spl54_10
    | spl54_20
    | ~ spl54_21 ),
    inference(avatar_split_clause,[],[f862,f711,f707,f650,f927]) ).

fof(f2072,plain,
    ( singletonP(nil)
    | ssItem(sK51)
    | ~ ssList(nil)
    | ~ spl54_33 ),
    inference(superposition,[],[f478,f929]) ).

fof(f2094,plain,
    ( ssItem(sK51)
    | ~ ssList(nil)
    | ~ spl54_33 ),
    inference(forward_subsumption_resolution,[],[f2072,f337]) ).

fof(f2103,plain,
    ( ~ ssList(nil)
    | spl54_8
    | ~ spl54_33 ),
    inference(forward_subsumption_resolution,[],[f2094,f641]) ).

fof(f2107,plain,
    ( $false
    | spl54_8
    | ~ spl54_10
    | ~ spl54_33 ),
    inference(forward_subsumption_resolution,[],[f2103,f651]) ).

fof(f2108,plain,
    ( spl54_8
    | ~ spl54_10
    | ~ spl54_33 ),
    inference(avatar_contradiction_clause,[],[f2107]) ).

cnf(s3,plain,
    ( ~ spl54_2
    | spl54_3 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s5,plain,
    ( ~ spl54_2
    | spl54_4 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s6,plain,
    ( ~ spl54_2
    | spl54_5 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s7,plain,
    ( ~ spl54_2
    | spl54_6 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s12,plain,
    ( ~ spl54_2
    | spl54_7 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s13,plain,
    ( ~ spl54_2
    | ~ spl54_8 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s15,plain,
    spl54_2,
    inference(sat_conversion,[],[f644]) ).

cnf(s24,plain,
    spl54_10,
    inference(sat_conversion,[],[f679]) ).

cnf(s27,plain,
    ( ~ spl54_3
    | ~ spl54_4
    | ~ spl54_5
    | ~ spl54_6
    | ~ spl54_7
    | ~ spl54_20
    | ~ spl54_21 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s30,plain,
    ( spl54_8
    | ~ spl54_10
    | spl54_21 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s75,plain,
    ( ~ spl54_10
    | spl54_20
    | ~ spl54_21
    | spl54_33 ),
    inference(sat_conversion,[],[f1970]) ).

cnf(s80,plain,
    ( spl54_8
    | ~ spl54_10
    | ~ spl54_33 ),
    inference(sat_conversion,[],[f2108]) ).

cnf(s91,plain,
    ~ spl54_8,
    inference(rat,[],[s13,s15]) ).

cnf(s92,plain,
    ~ spl54_33,
    inference(rat,[],[s80,s24,s91]) ).

cnf(s93,plain,
    spl54_21,
    inference(rat,[],[s30,s24,s91]) ).

cnf(s98,plain,
    spl54_20,
    inference(rat,[],[s75,s92,s24,s93]) ).

cnf(s99,plain,
    spl54_7,
    inference(rat,[],[s12,s15]) ).

cnf(s100,plain,
    spl54_6,
    inference(rat,[],[s7,s15]) ).

cnf(s101,plain,
    spl54_5,
    inference(rat,[],[s6,s15]) ).

cnf(s102,plain,
    spl54_4,
    inference(rat,[],[s5,s15]) ).

cnf(s103,plain,
    ~ spl54_3,
    inference(rat,[],[s27,s93,s98,s99,s100,s101,s102]) ).

cnf(s104,plain,
    $false,
    inference(rat,[],[s3,s103,s15]) ).

fof(f2109,plain,
    $false,
    inference(avatar_sat_refutation,[],[s104]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC003+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  % Computer : n010.cluster.edu
% 0.11/0.40  % Model    : x86_64 x86_64
% 0.11/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40  % Memory   : 8046.5625MB
% 0.11/0.40  % OS       : Linux 6.8.0-71-generic
% 0.11/0.40  % CPULimit : 300
% 0.11/0.40  % WCLimit  : 300
% 0.11/0.40  % DateTime : Mon Sep 28 07:24:48 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43  Running first-order model finding
% 0.11/0.43  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
% 0.18/0.52  % (1738519)Will run a generic schedule for satisfiability detection.
% 0.18/0.52  % (1738528)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2442633682:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.52  % (1738525)% WARNING: option uhcvi not known.
% 0.18/0.52  % (1738525)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3055559260:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.52  % (1738524)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3812786256_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.52  % (1738526)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2755959236:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.52  % (1738527)dis+10_1_sil=32000:sp=arity:random_seed=1653237182:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.52  % (1738529)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1168287677:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.52  % (1738530)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3011363555:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.52  % TRYING [1]
% 0.18/0.52  % TRYING [2]
% 0.18/0.52  % TRYING [3]
% 0.18/0.52  % (1738528)Instruction limit reached! 
% 0.18/0.52  % (1738528)------------------------------
% 0.18/0.52  % (1738528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52  % (1738528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52  % (1738528)CaDiCaL version: 2.1.3
% 0.18/0.52  % (1738528)Termination reason: Instruction limit
% 0.18/0.52  % (1738528)Termination phase: Saturation
% 0.18/0.52  % (1738528)Time elapsed: 0.038 s
% 0.18/0.52  % (1738528)Peak memory usage: 13 MB
% 0.18/0.52  % (1738528)Instructions burned: 118 (million)
% 0.18/0.52  % (1738525) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1738519-1738525"...
% 0.18/0.52  % TRYING [4]
% 0.18/0.52  % (1738525)...printing done.
% 0.18/0.52  % (1738525)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Theorem for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (1738525)------------------------------
% 0.18/0.52  % (1738525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52  % (1738525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52  % (1738525)CaDiCaL version: 2.1.3
% 0.18/0.52  % (1738525)Termination reason: Refutation
% 0.18/0.52  % (1738525)Time elapsed: 0.042 s
% 0.18/0.52  % (1738525)Peak memory usage: 13 MB
% 0.18/0.52  % (1738525)Instructions burned: 66 (million)
% 0.18/0.52  % (1738519)Success in time 0.084 s
% 0.18/0.52  % Vampire exiting
%------------------------------------------------------------------------------