↑ 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  : COM022+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 09:40:10 AM UTC 2026

% Result   : Theorem 0.09s 0.26s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   88 (  18 unt;   6 def)
%            Number of atoms       :  335 (  15 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  388 ( 141   ~; 140   |;  84   &)
%                                         (  12 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   7 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   62 (   0 sgn  38   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X0)
        & aRewritingSystem0(X1)
        & aElement0(X2) )
     => ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( X0 = X2
          | sdtmndtplgtdt0(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( aElement0(X0)
        & aRewritingSystem0(X1) )
     => ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( aElement0(X2)
            & sdtmndtasgtdt0(X0,X1,X2)
            & ~ ? [X3] : aReductOfIn0(X3,X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

fof(f17,axiom,
    ( aElement0(xa)
    & aElement0(xb)
    & aElement0(xc) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).

fof(f19,conjecture,
    ( ( ( sdtmndtplgtdt0(xa,xR,xb)
        & sdtmndtplgtdt0(xa,xR,xc) )
     => ? [X0] :
          ( aElement0(X0)
          & aReductOfIn0(X0,xa,xR)
          & sdtmndtasgtdt0(X0,xR,xb)
          & ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xa,xR)
              & sdtmndtasgtdt0(X1,xR,xc)
              & ? [X2] :
                  ( aElement0(X2)
                  & sdtmndtasgtdt0(X0,xR,X2)
                  & sdtmndtasgtdt0(X1,xR,X2)
                  & ? [X3] :
                      ( aNormalFormOfIn0(X3,X2,xR)
                      & sdtmndtasgtdt0(xb,xR,X3)
                      & sdtmndtasgtdt0(xc,xR,X3) ) ) ) ) )
   => ( ( sdtmndtasgtdt0(xa,xR,xb)
        & sdtmndtasgtdt0(xa,xR,xc) )
     => ? [X0] :
          ( aElement0(X0)
          & sdtmndtasgtdt0(xb,xR,X0)
          & sdtmndtasgtdt0(xc,xR,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f20,negated_conjecture,
    ~ ( ( ( sdtmndtplgtdt0(xa,xR,xb)
          & sdtmndtplgtdt0(xa,xR,xc) )
       => ? [X0] :
            ( aElement0(X0)
            & aReductOfIn0(X0,xa,xR)
            & sdtmndtasgtdt0(X0,xR,xb)
            & ? [X1] :
                ( aElement0(X1)
                & aReductOfIn0(X1,xa,xR)
                & sdtmndtasgtdt0(X1,xR,xc)
                & ? [X2] :
                    ( aElement0(X2)
                    & sdtmndtasgtdt0(X0,xR,X2)
                    & sdtmndtasgtdt0(X1,xR,X2)
                    & ? [X3] :
                        ( aNormalFormOfIn0(X3,X2,xR)
                        & sdtmndtasgtdt0(xb,xR,X3)
                        & sdtmndtasgtdt0(xc,xR,X3) ) ) ) ) )
     => ( ( sdtmndtasgtdt0(xa,xR,xb)
          & sdtmndtasgtdt0(xa,xR,xc) )
       => ? [X0] :
            ( aElement0(X0)
            & sdtmndtasgtdt0(xb,xR,X0)
            & sdtmndtasgtdt0(xc,xR,X0) ) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f21,plain,
    ~ ( ( ( sdtmndtplgtdt0(xa,xR,xb)
          & sdtmndtplgtdt0(xa,xR,xc) )
       => ? [X0] :
            ( aElement0(X0)
            & aReductOfIn0(X0,xa,xR)
            & sdtmndtasgtdt0(X0,xR,xb)
            & ? [X1] :
                ( aElement0(X1)
                & aReductOfIn0(X1,xa,xR)
                & sdtmndtasgtdt0(X1,xR,xc)
                & ? [X2] :
                    ( aElement0(X2)
                    & sdtmndtasgtdt0(X0,xR,X2)
                    & sdtmndtasgtdt0(X1,xR,X2)
                    & ? [X3] :
                        ( aNormalFormOfIn0(X3,X2,xR)
                        & sdtmndtasgtdt0(xb,xR,X3)
                        & sdtmndtasgtdt0(xc,xR,X3) ) ) ) ) )
     => ( ( sdtmndtasgtdt0(xa,xR,xb)
          & sdtmndtasgtdt0(xa,xR,xc) )
       => ? [X4] :
            ( aElement0(X4)
            & sdtmndtasgtdt0(xb,xR,X4)
            & sdtmndtasgtdt0(xc,xR,X4) ) ) ),
    inference(rectify,[],[f20]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( X0 = X2
          | sdtmndtplgtdt0(X0,X1,X2) ) )
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( X0 = X2
          | sdtmndtplgtdt0(X0,X1,X2) ) )
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(flattening,[],[f34]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( aElement0(X2)
            & sdtmndtasgtdt0(X0,X1,X2)
            & ! [X3] : ~ aReductOfIn0(X3,X2,X1) ) )
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( aNormalFormOfIn0(X2,X0,X1)
        <=> ( aElement0(X2)
            & sdtmndtasgtdt0(X0,X1,X2)
            & ! [X3] : ~ aReductOfIn0(X3,X2,X1) ) )
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1) ),
    inference(flattening,[],[f44]) ).

fof(f50,plain,
    ( ! [X4] :
        ( ~ aElement0(X4)
        | ~ sdtmndtasgtdt0(xb,xR,X4)
        | ~ sdtmndtasgtdt0(xc,xR,X4) )
    & sdtmndtasgtdt0(xa,xR,xb)
    & sdtmndtasgtdt0(xa,xR,xc)
    & ( ? [X0] :
          ( aElement0(X0)
          & aReductOfIn0(X0,xa,xR)
          & sdtmndtasgtdt0(X0,xR,xb)
          & ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xa,xR)
              & sdtmndtasgtdt0(X1,xR,xc)
              & ? [X2] :
                  ( aElement0(X2)
                  & sdtmndtasgtdt0(X0,xR,X2)
                  & sdtmndtasgtdt0(X1,xR,X2)
                  & ? [X3] :
                      ( aNormalFormOfIn0(X3,X2,xR)
                      & sdtmndtasgtdt0(xb,xR,X3)
                      & sdtmndtasgtdt0(xc,xR,X3) ) ) ) )
      | ~ sdtmndtplgtdt0(xa,xR,xb)
      | ~ sdtmndtplgtdt0(xa,xR,xc) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f51,plain,
    ( ! [X4] :
        ( ~ aElement0(X4)
        | ~ sdtmndtasgtdt0(xb,xR,X4)
        | ~ sdtmndtasgtdt0(xc,xR,X4) )
    & sdtmndtasgtdt0(xa,xR,xb)
    & sdtmndtasgtdt0(xa,xR,xc)
    & ( ? [X0] :
          ( aElement0(X0)
          & aReductOfIn0(X0,xa,xR)
          & sdtmndtasgtdt0(X0,xR,xb)
          & ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xa,xR)
              & sdtmndtasgtdt0(X1,xR,xc)
              & ? [X2] :
                  ( aElement0(X2)
                  & sdtmndtasgtdt0(X0,xR,X2)
                  & sdtmndtasgtdt0(X1,xR,X2)
                  & ? [X3] :
                      ( aNormalFormOfIn0(X3,X2,xR)
                      & sdtmndtasgtdt0(xb,xR,X3)
                      & sdtmndtasgtdt0(xc,xR,X3) ) ) ) )
      | ~ sdtmndtplgtdt0(xa,xR,xb)
      | ~ sdtmndtplgtdt0(xa,xR,xc) ) ),
    inference(flattening,[],[f50]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( sdtmndtplgtdt0(X0,X1,X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | X0 = X2
      | ~ sdtmndtasgtdt0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | X0 != X2
      | sdtmndtasgtdt0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f88,plain,
    ! [X2,X0,X1] :
      ( ~ aNormalFormOfIn0(X2,X0,X1)
      | ~ aElement0(X0)
      | aElement0(X2)
      | ~ aRewritingSystem0(X1) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f91,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f94,plain,
    aElement0(xc),
    inference(cnf_transformation,[],[f17]) ).

fof(f95,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f17]) ).

fof(f96,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f17]) ).

fof(f100,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xc)
    | ~ sdtmndtplgtdt0(xa,xR,xb)
    | sdtmndtasgtdt0(xc,xR,sK17) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f101,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xc)
    | ~ sdtmndtplgtdt0(xa,xR,xb)
    | sdtmndtasgtdt0(xb,xR,sK17) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f102,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xc)
    | ~ sdtmndtplgtdt0(xa,xR,xb)
    | aNormalFormOfIn0(sK17,sK16,xR) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f105,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xc)
    | ~ sdtmndtplgtdt0(xa,xR,xb)
    | aElement0(sK16) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f112,plain,
    ! [X4] :
      ( ~ sdtmndtasgtdt0(xc,xR,X4)
      | ~ sdtmndtasgtdt0(xb,xR,X4)
      | ~ aElement0(X4) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f113,plain,
    sdtmndtasgtdt0(xa,xR,xc),
    inference(cnf_transformation,[],[f51]) ).

fof(f114,plain,
    sdtmndtasgtdt0(xa,xR,xb),
    inference(cnf_transformation,[],[f51]) ).

fof(f115,plain,
    ! [X2,X1] :
      ( ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | sdtmndtasgtdt0(X2,X1,X2) ),
    inference(equality_resolution,[],[f61]) ).

fof(f116,plain,
    ! [X2,X1] :
      ( ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | sdtmndtasgtdt0(X2,X1,X2) ),
    inference(duplicate_literal_removal,[],[f115]) ).

fof(f118,definition,
    ( spl18_1
  <=> sdtmndtasgtdt0(xc,xR,sK17) ),
    introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).

fof(f120,plain,
    ( sdtmndtasgtdt0(xc,xR,sK17)
    | ~ spl18_1 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f122,definition,
    ( spl18_2
  <=> sdtmndtplgtdt0(xa,xR,xb) ),
    introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).

fof(f124,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xb)
    | spl18_2 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f126,definition,
    ( spl18_3
  <=> sdtmndtplgtdt0(xa,xR,xc) ),
    introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).

fof(f128,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xc)
    | spl18_3 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f129,plain,
    ( spl18_1
    | ~ spl18_2
    | ~ spl18_3 ),
    inference(avatar_split_clause,[],[f100,f126,f122,f118]) ).

fof(f131,definition,
    ( spl18_4
  <=> sdtmndtasgtdt0(xb,xR,sK17) ),
    introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).

fof(f133,plain,
    ( sdtmndtasgtdt0(xb,xR,sK17)
    | ~ spl18_4 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f134,plain,
    ( spl18_4
    | ~ spl18_2
    | ~ spl18_3 ),
    inference(avatar_split_clause,[],[f101,f126,f122,f131]) ).

fof(f136,definition,
    ( spl18_5
  <=> aNormalFormOfIn0(sK17,sK16,xR) ),
    introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).

fof(f138,plain,
    ( aNormalFormOfIn0(sK17,sK16,xR)
    | ~ spl18_5 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f139,plain,
    ( spl18_5
    | ~ spl18_2
    | ~ spl18_3 ),
    inference(avatar_split_clause,[],[f102,f126,f122,f136]) ).

fof(f151,definition,
    ( spl18_8
  <=> aElement0(sK16) ),
    introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).

fof(f153,plain,
    ( aElement0(sK16)
    | ~ spl18_8 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f154,plain,
    ( spl18_8
    | ~ spl18_2
    | ~ spl18_3 ),
    inference(avatar_split_clause,[],[f105,f126,f122,f151]) ).

fof(f185,plain,
    ! [X0] :
      ( sdtmndtasgtdt0(X0,xR,X0)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f116,f91]) ).

fof(f186,plain,
    ( ~ aElement0(xc)
    | ~ sdtmndtasgtdt0(xb,xR,xc)
    | ~ aElement0(xc) ),
    inference(resolution,[],[f185,f112]) ).

fof(f187,plain,
    ( ~ aElement0(xc)
    | ~ sdtmndtasgtdt0(xb,xR,xc) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f188,plain,
    ~ sdtmndtasgtdt0(xb,xR,xc),
    inference(forward_subsumption_resolution,[],[f187,f94]) ).

fof(f216,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xa)
    | ~ aElement0(xb)
    | xa = xb
    | ~ sdtmndtasgtdt0(xa,xR,xb)
    | spl18_2 ),
    inference(resolution,[],[f59,f124]) ).

fof(f219,plain,
    ( ~ aElement0(xa)
    | ~ aElement0(xb)
    | xa = xb
    | ~ sdtmndtasgtdt0(xa,xR,xb)
    | spl18_2 ),
    inference(forward_subsumption_resolution,[],[f216,f91]) ).

fof(f220,plain,
    ( ~ aElement0(xb)
    | xa = xb
    | ~ sdtmndtasgtdt0(xa,xR,xb)
    | spl18_2 ),
    inference(forward_subsumption_resolution,[],[f219,f96]) ).

fof(f221,plain,
    ( xa = xb
    | ~ sdtmndtasgtdt0(xa,xR,xb)
    | spl18_2 ),
    inference(forward_subsumption_resolution,[],[f220,f95]) ).

fof(f222,plain,
    ( xa = xb
    | spl18_2 ),
    inference(forward_subsumption_resolution,[],[f221,f114]) ).

fof(f223,plain,
    ( ~ sdtmndtasgtdt0(xa,xR,xc)
    | spl18_2 ),
    inference(superposition,[],[f188,f222]) ).

fof(f227,plain,
    ( $false
    | spl18_2 ),
    inference(forward_subsumption_resolution,[],[f223,f113]) ).

fof(f228,plain,
    spl18_2,
    inference(avatar_contradiction_clause,[],[f227]) ).

fof(f230,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xa)
    | ~ aElement0(xc)
    | xa = xc
    | ~ sdtmndtasgtdt0(xa,xR,xc)
    | spl18_3 ),
    inference(resolution,[],[f128,f59]) ).

fof(f231,plain,
    ( ~ aElement0(xa)
    | ~ aElement0(xc)
    | xa = xc
    | ~ sdtmndtasgtdt0(xa,xR,xc)
    | spl18_3 ),
    inference(forward_subsumption_resolution,[],[f230,f91]) ).

fof(f232,plain,
    ( ~ aElement0(xc)
    | xa = xc
    | ~ sdtmndtasgtdt0(xa,xR,xc)
    | spl18_3 ),
    inference(forward_subsumption_resolution,[],[f231,f96]) ).

fof(f233,plain,
    ( xa = xc
    | ~ sdtmndtasgtdt0(xa,xR,xc)
    | spl18_3 ),
    inference(forward_subsumption_resolution,[],[f232,f94]) ).

fof(f234,plain,
    ( xa = xc
    | spl18_3 ),
    inference(forward_subsumption_resolution,[],[f233,f113]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ~ sdtmndtasgtdt0(xb,xR,X0)
        | ~ sdtmndtasgtdt0(xa,xR,X0)
        | ~ aElement0(X0) )
    | spl18_3 ),
    inference(superposition,[],[f112,f234]) ).

fof(f300,plain,
    ( ~ sdtmndtasgtdt0(xa,xR,xb)
    | ~ aElement0(xb)
    | ~ aElement0(xb)
    | spl18_3 ),
    inference(resolution,[],[f245,f185]) ).

fof(f301,plain,
    ( ~ sdtmndtasgtdt0(xa,xR,xb)
    | ~ aElement0(xb)
    | spl18_3 ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f302,plain,
    ( ~ aElement0(xb)
    | spl18_3 ),
    inference(forward_subsumption_resolution,[],[f301,f114]) ).

fof(f303,plain,
    ( $false
    | spl18_3 ),
    inference(forward_subsumption_resolution,[],[f302,f95]) ).

fof(f304,plain,
    spl18_3,
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f305,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,sK17)
    | ~ aElement0(sK17)
    | ~ spl18_1 ),
    inference(resolution,[],[f120,f112]) ).

fof(f306,plain,
    ( ~ aElement0(sK17)
    | ~ spl18_1
    | ~ spl18_4 ),
    inference(forward_subsumption_resolution,[],[f305,f133]) ).

fof(f314,plain,
    ( ~ aElement0(sK16)
    | aElement0(sK17)
    | ~ aRewritingSystem0(xR)
    | ~ spl18_5 ),
    inference(resolution,[],[f138,f88]) ).

fof(f315,plain,
    ( aElement0(sK17)
    | ~ aRewritingSystem0(xR)
    | ~ spl18_5
    | ~ spl18_8 ),
    inference(forward_subsumption_resolution,[],[f314,f153]) ).

fof(f318,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ spl18_1
    | ~ spl18_4
    | ~ spl18_5
    | ~ spl18_8 ),
    inference(forward_subsumption_resolution,[],[f315,f306]) ).

fof(f321,plain,
    ( $false
    | ~ spl18_1
    | ~ spl18_4
    | ~ spl18_5
    | ~ spl18_8 ),
    inference(forward_subsumption_resolution,[],[f318,f91]) ).

fof(f322,plain,
    ( ~ spl18_1
    | ~ spl18_4
    | ~ spl18_5
    | ~ spl18_8 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

cnf(s1,plain,
    ( spl18_1
    | ~ spl18_2
    | ~ spl18_3 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s2,plain,
    ( ~ spl18_2
    | ~ spl18_3
    | spl18_4 ),
    inference(sat_conversion,[],[f134]) ).

cnf(s3,plain,
    ( ~ spl18_2
    | ~ spl18_3
    | spl18_5 ),
    inference(sat_conversion,[],[f139]) ).

cnf(s6,plain,
    ( ~ spl18_2
    | ~ spl18_3
    | spl18_8 ),
    inference(sat_conversion,[],[f154]) ).

cnf(s13,plain,
    spl18_2,
    inference(sat_conversion,[],[f228]) ).

cnf(s14,plain,
    spl18_3,
    inference(sat_conversion,[],[f304]) ).

cnf(s15,plain,
    ( ~ spl18_1
    | ~ spl18_4
    | ~ spl18_5
    | ~ spl18_8 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s22,plain,
    spl18_8,
    inference(rat,[],[s6,s14,s13]) ).

cnf(s25,plain,
    spl18_5,
    inference(rat,[],[s3,s14,s13]) ).

cnf(s26,plain,
    spl18_4,
    inference(rat,[],[s2,s14,s13]) ).

cnf(s27,plain,
    ~ spl18_1,
    inference(rat,[],[s15,s22,s25,s26]) ).

cnf(s28,plain,
    $false,
    inference(rat,[],[s1,s14,s13,s27]) ).

fof(f323,plain,
    $false,
    inference(avatar_sat_refutation,[],[s28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM022+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n007.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 21:46:48 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  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
% 0.09/0.26  % (2883728)Will run a generic schedule for satisfiability detection.
% 0.09/0.26  % (2883739)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3170070348:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26  % (2883734)% WARNING: option uhcvi not known.
% 0.09/0.26  % (2883733)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4138284837_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26  % (2883736)dis+10_1_sil=32000:sp=arity:random_seed=1055686119:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26  % (2883735)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3932036819:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26  % (2883734)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4032539491:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26  % (2883737)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1085908070:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26  % (2883738)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=824795701:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26  % TRYING [1]
% 0.09/0.26  % TRYING [2]
% 0.09/0.26  % (2883737) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2883728-2883737"...
% 0.09/0.26  % TRYING [3]
% 0.09/0.26  % (2883737)...printing done.
% 0.09/0.26  % (2883737)Refutation found. Thanks to Tanya!
% 0.09/0.26  % SZS status Theorem for theBenchmark
% 0.09/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.26  % (2883737)------------------------------
% 0.21/0.26  % (2883737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.26  % (2883737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.26  % (2883737)CaDiCaL version: 2.1.3
% 0.21/0.26  % (2883737)Termination reason: Refutation
% 0.21/0.26  % (2883737)Time elapsed: 0.009 s
% 0.21/0.26  % (2883737)Peak memory usage: 12 MB
% 0.21/0.26  % (2883737)Instructions burned: 12 (million)
% 0.21/0.26  % (2883728)Success in time 0.045 s
% 0.21/0.26  % Vampire exiting
%------------------------------------------------------------------------------