↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC384+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 01:05:48 PM UTC 2026

% Result   : Theorem 0.19s 0.31s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  117 (  27 unt;  10 def)
%            Number of atoms       :  372 (  58 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  409 ( 154   ~; 170   |;  48   &)
%                                         (  16 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  11 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn  55   !;  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(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

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

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ~ neq(X1,nil)
                    | ( ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ! [X6] :
                                  ( ssList(X6)
                                 => ( cons(X4,nil) != X2
                                    | app(app(X5,X2),X6) != X3
                                    | ? [X7] :
                                        ( ssItem(X7)
                                        & memberP(X5,X7)
                                        & lt(X4,X7) )
                                    | ? [X8] :
                                        ( ssItem(X8)
                                        & memberP(X6,X8)
                                        & lt(X8,X4) ) ) ) ) )
                      & ( nil != X3
                        | nil != X2 ) )
                    | ( singletonP(X0)
                      & segmentP(X1,X0) ) ) ) ) ) ),
    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] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssList(X5)
                               => ! [X6] :
                                    ( ssList(X6)
                                   => ( cons(X4,nil) != X2
                                      | app(app(X5,X2),X6) != X3
                                      | ? [X7] :
                                          ( ssItem(X7)
                                          & memberP(X5,X7)
                                          & lt(X4,X7) )
                                      | ? [X8] :
                                          ( ssItem(X8)
                                          & memberP(X6,X8)
                                          & lt(X8,X4) ) ) ) ) )
                        & ( nil != X3
                          | nil != X2 ) )
                      | ( singletonP(X0)
                        & segmentP(X1,X0) ) ) ) ) ) ),
    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(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & neq(X1,nil)
                  & ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( cons(X4,nil) = X2
                                & app(app(X5,X2),X6) = X3
                                & ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ~ memberP(X5,X7)
                                    | ~ lt(X4,X7) )
                                & ! [X8] :
                                    ( ~ ssItem(X8)
                                    | ~ memberP(X6,X8)
                                    | ~ lt(X8,X4) )
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | ( nil = X3
                      & nil = X2 ) )
                  & ( ~ singletonP(X0)
                    | ~ segmentP(X1,X0) )
                  & 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] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( cons(X4,nil) = X2
                                & app(app(X5,X2),X6) = X3
                                & ! [X7] :
                                    ( ~ ssItem(X7)
                                    | ~ memberP(X5,X7)
                                    | ~ lt(X4,X7) )
                                & ! [X8] :
                                    ( ~ ssItem(X8)
                                    | ~ memberP(X6,X8)
                                    | ~ lt(X8,X4) )
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | ( nil = X3
                      & nil = X2 ) )
                  & ( ~ singletonP(X0)
                    | ~ segmentP(X1,X0) )
                  & 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(f241,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

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

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

fof(f307,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) != X0 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f417,plain,
    ( nil = sK50
    | sK49 = cons(sK51,nil) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f418,plain,
    ( nil = sK49
    | ssList(sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f419,plain,
    ( nil = sK49
    | sK50 = app(app(sK52,sK49),sK53) ),
    inference(cnf_transformation,[],[f222]) ).

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

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

fof(f425,plain,
    ( ~ segmentP(sK48,sK47)
    | ~ singletonP(sK47) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f427,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(f431,plain,
    ssList(sK48),
    inference(cnf_transformation,[],[f222]) ).

fof(f432,plain,
    ssList(sK47),
    inference(cnf_transformation,[],[f222]) ).

fof(f433,plain,
    ssList(sK49),
    inference(definition_unfolding,[],[f432,f428]) ).

fof(f434,plain,
    ssList(sK50),
    inference(definition_unfolding,[],[f431,f429]) ).

fof(f435,plain,
    neq(sK50,nil),
    inference(definition_unfolding,[],[f427,f429]) ).

fof(f436,plain,
    ( ~ segmentP(sK50,sK49)
    | ~ singletonP(sK49) ),
    inference(definition_unfolding,[],[f425,f429,f428,f428]) ).

fof(f439,plain,
    ! [X1] :
      ( ~ ssList(cons(X1,nil))
      | ~ ssItem(X1)
      | singletonP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f234]) ).

fof(f442,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f241]) ).

fof(f451,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f304]) ).

fof(f468,plain,
    ! [X1] :
      ( ~ singletonP(cons(X1,nil))
      | ~ ssItem(X1)
      | ssList(cons(X1,nil)) ),
    inference(consistent_polarity_flipping,[],[f439]) ).

fof(f480,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ssList(X1)
      | ssList(X3)
      | ssList(X2)
      | ssList(app(app(X2,X1),X3)) ),
    inference(consistent_polarity_flipping,[],[f442]) ).

fof(f539,plain,
    ! [X1] :
      ( ssList(X1)
      | ssList(X1)
      | neq(X1,X1) ),
    inference(consistent_polarity_flipping,[],[f451]) ).

fof(f542,plain,
    ~ ssList(nil),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f543,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f307]) ).

fof(f627,plain,
    ~ ssList(sK49),
    inference(consistent_polarity_flipping,[],[f433]) ).

fof(f628,plain,
    ~ ssList(sK50),
    inference(consistent_polarity_flipping,[],[f434]) ).

fof(f630,plain,
    ~ neq(sK50,nil),
    inference(consistent_polarity_flipping,[],[f435]) ).

fof(f632,plain,
    ( ~ segmentP(sK50,sK49)
    | singletonP(sK49) ),
    inference(consistent_polarity_flipping,[],[f436]) ).

fof(f633,plain,
    ( nil = sK50
    | ~ ssList(sK52) ),
    inference(consistent_polarity_flipping,[],[f422]) ).

fof(f635,plain,
    ( nil = sK49
    | ~ ssList(sK53) ),
    inference(consistent_polarity_flipping,[],[f418]) ).

fof(f645,plain,
    ! [X1] :
      ( neq(X1,X1)
      | ssList(X1) ),
    inference(duplicate_literal_removal,[],[f539]) ).

fof(f652,definition,
    ( spl54_2
  <=> nil = sK49 ),
    introduced(definition,[new_symbols(definition,[spl54_2])],[avatar_definition]) ).

fof(f654,plain,
    ( nil = sK49
    | ~ spl54_2 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f657,definition,
    ( spl54_3
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl54_3])],[avatar_definition]) ).

fof(f659,plain,
    ( nil = sK50
    | ~ spl54_3 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f667,definition,
    ( spl54_5
  <=> ssList(sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_5])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ ssList(sK53)
    | spl54_5 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f672,definition,
    ( spl54_6
  <=> sK50 = app(app(sK52,sK49),sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_6])],[avatar_definition]) ).

fof(f674,plain,
    ( sK50 = app(app(sK52,sK49),sK53)
    | ~ spl54_6 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f677,definition,
    ( spl54_7
  <=> sK49 = cons(sK51,nil) ),
    introduced(definition,[new_symbols(definition,[spl54_7])],[avatar_definition]) ).

fof(f679,plain,
    ( sK49 = cons(sK51,nil)
    | ~ spl54_7 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f680,plain,
    ( spl54_7
    | spl54_3 ),
    inference(avatar_split_clause,[],[f417,f657,f677]) ).

fof(f681,plain,
    ( ~ spl54_5
    | spl54_2 ),
    inference(avatar_split_clause,[],[f635,f652,f667]) ).

fof(f682,plain,
    ( spl54_6
    | spl54_2 ),
    inference(avatar_split_clause,[],[f419,f652,f672]) ).

fof(f685,definition,
    ( spl54_8
  <=> ssList(sK52) ),
    introduced(definition,[new_symbols(definition,[spl54_8])],[avatar_definition]) ).

fof(f687,plain,
    ( ~ ssList(sK52)
    | spl54_8 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f689,plain,
    ( ~ spl54_8
    | spl54_3 ),
    inference(avatar_split_clause,[],[f633,f657,f685]) ).

fof(f691,definition,
    ( spl54_9
  <=> ssItem(sK51) ),
    introduced(definition,[new_symbols(definition,[spl54_9])],[avatar_definition]) ).

fof(f693,plain,
    ( ssItem(sK51)
    | ~ spl54_9 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f694,plain,
    ( spl54_9
    | spl54_3 ),
    inference(avatar_split_clause,[],[f423,f657,f691]) ).

fof(f697,definition,
    ( spl54_10
  <=> singletonP(sK49) ),
    introduced(definition,[new_symbols(definition,[spl54_10])],[avatar_definition]) ).

fof(f701,definition,
    ( spl54_11
  <=> segmentP(sK50,sK49) ),
    introduced(definition,[new_symbols(definition,[spl54_11])],[avatar_definition]) ).

fof(f703,plain,
    ( ~ segmentP(sK50,sK49)
    | spl54_11 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f704,plain,
    ( spl54_10
    | ~ spl54_11 ),
    inference(avatar_split_clause,[],[f632,f701,f697]) ).

fof(f710,definition,
    ( spl54_13
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ ssList(nil)
    | spl54_13 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f739,plain,
    ~ spl54_13,
    inference(avatar_split_clause,[],[f542,f710]) ).

fof(f742,plain,
    ( ~ neq(nil,nil)
    | ~ spl54_3 ),
    inference(superposition,[],[f630,f659]) ).

fof(f752,plain,
    ( ssList(nil)
    | ~ spl54_3 ),
    inference(resolution,[],[f645,f742]) ).

fof(f753,plain,
    ( $false
    | ~ spl54_3
    | spl54_13 ),
    inference(forward_subsumption_resolution,[],[f752,f711]) ).

fof(f754,plain,
    ( ~ spl54_3
    | spl54_13 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f756,plain,
    ( nil = cons(sK51,nil)
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(forward_demodulation,[],[f679,f654]) ).

fof(f853,plain,
    ( nil != nil
    | ~ ssItem(sK51)
    | ssList(nil)
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(superposition,[],[f543,f756]) ).

fof(f854,plain,
    ( ~ ssItem(sK51)
    | ssList(nil)
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(trivial_inequality_removal,[],[f853]) ).

fof(f855,plain,
    ( ssList(nil)
    | ~ spl54_2
    | ~ spl54_7
    | ~ spl54_9 ),
    inference(forward_subsumption_resolution,[],[f854,f693]) ).

fof(f856,plain,
    ( $false
    | ~ spl54_2
    | ~ spl54_7
    | ~ spl54_9
    | spl54_13 ),
    inference(forward_subsumption_resolution,[],[f855,f711]) ).

fof(f857,plain,
    ( ~ spl54_2
    | ~ spl54_7
    | ~ spl54_9
    | spl54_13 ),
    inference(avatar_contradiction_clause,[],[f856]) ).

fof(f887,plain,
    ( ~ singletonP(sK49)
    | ~ ssItem(sK51)
    | ssList(sK49)
    | ~ spl54_7 ),
    inference(superposition,[],[f468,f679]) ).

fof(f892,plain,
    ( ~ singletonP(sK49)
    | ssList(sK49)
    | ~ spl54_7
    | ~ spl54_9 ),
    inference(forward_subsumption_resolution,[],[f887,f693]) ).

fof(f893,plain,
    ( ~ singletonP(sK49)
    | ~ spl54_7
    | ~ spl54_9 ),
    inference(forward_subsumption_resolution,[],[f892,f627]) ).

fof(f894,plain,
    ( ~ spl54_10
    | ~ spl54_7
    | ~ spl54_9 ),
    inference(avatar_split_clause,[],[f893,f691,f677,f697]) ).

fof(f2300,plain,
    ( segmentP(sK50,sK49)
    | ssList(sK49)
    | ssList(sK53)
    | ssList(sK52)
    | ssList(sK50)
    | ~ spl54_6 ),
    inference(superposition,[],[f480,f674]) ).

fof(f2308,plain,
    ( ssList(sK49)
    | ssList(sK53)
    | ssList(sK52)
    | ssList(sK50)
    | ~ spl54_6
    | spl54_11 ),
    inference(forward_subsumption_resolution,[],[f2300,f703]) ).

fof(f2314,plain,
    ( ssList(sK53)
    | ssList(sK52)
    | ssList(sK50)
    | ~ spl54_6
    | spl54_11 ),
    inference(forward_subsumption_resolution,[],[f2308,f627]) ).

fof(f2320,plain,
    ( ssList(sK52)
    | ssList(sK50)
    | spl54_5
    | ~ spl54_6
    | spl54_11 ),
    inference(forward_subsumption_resolution,[],[f2314,f669]) ).

fof(f2323,plain,
    ( ssList(sK50)
    | spl54_5
    | ~ spl54_6
    | spl54_8
    | spl54_11 ),
    inference(forward_subsumption_resolution,[],[f2320,f687]) ).

fof(f2325,plain,
    ( $false
    | spl54_5
    | ~ spl54_6
    | spl54_8
    | spl54_11 ),
    inference(forward_subsumption_resolution,[],[f2323,f628]) ).

fof(f2326,plain,
    ( spl54_5
    | ~ spl54_6
    | spl54_8
    | spl54_11 ),
    inference(avatar_contradiction_clause,[],[f2325]) ).

cnf(s7,plain,
    ( spl54_3
    | spl54_7 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s8,plain,
    ( spl54_2
    | ~ spl54_5 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s9,plain,
    ( spl54_2
    | spl54_6 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s12,plain,
    ( spl54_3
    | ~ spl54_8 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s13,plain,
    ( spl54_3
    | spl54_9 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s15,plain,
    ( spl54_10
    | ~ spl54_11 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s24,plain,
    ~ spl54_13,
    inference(sat_conversion,[],[f739]) ).

cnf(s29,plain,
    ( ~ spl54_3
    | spl54_13 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s30,plain,
    ( ~ spl54_2
    | ~ spl54_7
    | ~ spl54_9
    | spl54_13 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s32,plain,
    ( ~ spl54_7
    | ~ spl54_9
    | ~ spl54_10 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s71,plain,
    ( spl54_5
    | ~ spl54_6
    | spl54_8
    | spl54_11 ),
    inference(sat_conversion,[],[f2326]) ).

cnf(s72,plain,
    ~ spl54_3,
    inference(rat,[],[s29,s24]) ).

cnf(s78,plain,
    spl54_9,
    inference(rat,[],[s13,s72]) ).

cnf(s79,plain,
    ~ spl54_8,
    inference(rat,[],[s12,s72]) ).

cnf(s81,plain,
    spl54_7,
    inference(rat,[],[s7,s72]) ).

cnf(s82,plain,
    ~ spl54_10,
    inference(rat,[],[s32,s78,s81]) ).

cnf(s83,plain,
    ~ spl54_2,
    inference(rat,[],[s30,s24,s78,s81]) ).

cnf(s85,plain,
    ~ spl54_11,
    inference(rat,[],[s15,s82]) ).

cnf(s87,plain,
    spl54_6,
    inference(rat,[],[s9,s83]) ).

cnf(s88,plain,
    ~ spl54_5,
    inference(rat,[],[s8,s83]) ).

cnf(s95,plain,
    $false,
    inference(rat,[],[s71,s85,s79,s87,s88]) ).

fof(f2327,plain,
    $false,
    inference(avatar_sat_refutation,[],[s95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC384+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n001.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 09:30:02 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  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
% 0.19/0.31  % (242001)Will run a generic schedule for satisfiability detection.
% 0.19/0.31  % (242010)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3056337923:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.31  % (242007)% WARNING: option uhcvi not known.
% 0.19/0.31  % (242006)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2446498535_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.31  % (242007)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=692224678:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.31  % (242008)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3812965963:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31  % (242011)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=175632485:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.31  % (242009)dis+10_1_sil=32000:sp=arity:random_seed=2435459972:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.31  % (242012)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1363204865:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.31  % TRYING [1]
% 0.19/0.31  % TRYING [2]
% 0.19/0.31  % TRYING [3]
% 0.19/0.31  % (242010)Instruction limit reached! 
% 0.19/0.31  % (242010)------------------------------
% 0.19/0.31  % (242010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31  % (242010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31  % (242010)CaDiCaL version: 2.1.3
% 0.19/0.31  % (242010)Termination reason: Instruction limit
% 0.19/0.31  % (242010)Termination phase: Saturation
% 0.19/0.31  % (242010)Time elapsed: 0.039 s
% 0.19/0.31  % (242010)Peak memory usage: 13 MB
% 0.19/0.31  % (242010)Instructions burned: 119 (million)
% 0.19/0.31  % TRYING [4]
% 0.19/0.31  % (242020)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3479405759:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.31  % (242007) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-242001-242007"...
% 0.19/0.31  % (242007)...printing done.
% 0.19/0.31  % (242007)Refutation found. Thanks to Tanya!
% 0.19/0.31  % SZS status Theorem for theBenchmark
% 0.19/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.31  % (242007)------------------------------
% 0.19/0.31  % (242007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31  % (242007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31  % (242007)CaDiCaL version: 2.1.3
% 0.19/0.31  % (242007)Termination reason: Refutation
% 0.19/0.31  % (242007)Time elapsed: 0.045 s
% 0.19/0.31  % (242007)Peak memory usage: 14 MB
% 0.19/0.31  % (242007)Instructions burned: 73 (million)
% 0.19/0.31  % (242001)Success in time 0.083 s
% 0.19/0.31  % Vampire exiting
%------------------------------------------------------------------------------