TSTP Solution File: KRS143+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS143+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:20:15 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   95 (   3 unt;   0 def)
%            Number of atoms       :  372 (  19 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  456 ( 179   ~; 200   |;  46   &)
%                                         (  12 <=>;  17  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :  116 (  85   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(avatar_sat_refutation,[],[f94,f98,f106,f110,f118,f122,f130,f134,f137,f143]) ).

fof(f143,plain,
    ( spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6 ),
    inference(avatar_contradiction_clause,[],[f142]) ).

fof(f142,plain,
    ( $false
    | spl7_3
    | ~ spl7_4
    | ~ spl7_5
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f141,f105]) ).

fof(f105,plain,
    ( rp(sK0,sK2)
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl7_4
  <=> rp(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f141,plain,
    ( ~ rp(sK0,sK2)
    | spl7_3
    | ~ spl7_5
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f140,f117]) ).

fof(f117,plain,
    ( rp(sK0,sK1)
    | ~ spl7_5 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl7_5
  <=> rp(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f140,plain,
    ( ~ rp(sK0,sK1)
    | ~ rp(sK0,sK2)
    | spl7_3
    | ~ spl7_6 ),
    inference(resolution,[],[f139,f129]) ).

fof(f129,plain,
    ( cc(sK0)
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl7_6
  <=> cc(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f139,plain,
    ( ! [X0] :
        ( ~ cc(X0)
        | ~ rp(X0,sK1)
        | ~ rp(X0,sK2) )
    | spl7_3 ),
    inference(resolution,[],[f93,f78]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( sQ6_eqProxy(X1,X2)
      | ~ rp(X0,X2)
      | ~ rp(X0,X1)
      | ~ cc(X0) ),
    inference(equality_proxy_replacement,[],[f55,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( sQ6_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rp(X0,X2)
      | ~ rp(X0,X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rp(X0,X2)
          | ~ rp(X0,X1) )
      | ~ cc(X0) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rp(X0,X2)
          | ~ rp(X0,X1) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( cc(X0)
     => ! [X1,X2] :
          ( ( rp(X0,X2)
            & rp(X0,X1) )
         => X1 = X2 ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X3] :
      ( cc(X3)
     => ! [X4,X5] :
          ( ( rp(X3,X5)
            & rp(X3,X4) )
         => X4 = X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f93,plain,
    ( ~ sQ6_eqProxy(sK1,sK2)
    | spl7_3 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl7_3
  <=> sQ6_eqProxy(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f137,plain,
    ( ~ spl7_2
    | ~ spl7_6 ),
    inference(avatar_contradiction_clause,[],[f136]) ).

fof(f136,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f135,f89]) ).

fof(f89,plain,
    ( ! [X3] : ~ rp(sK0,X3)
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl7_2
  <=> ! [X3] : ~ rp(sK0,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f135,plain,
    ( rp(sK0,sK5(sK0))
    | ~ spl7_6 ),
    inference(resolution,[],[f129,f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ cc(X0)
      | rp(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( rp(X0,sK5(X0))
      | ~ cc(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f23,f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ? [X1] : rp(X0,X1)
     => rp(X0,sK5(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X0] :
      ( ? [X1] : rp(X0,X1)
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( cc(X0)
     => ? [X1] : rp(X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X3] :
      ( cc(X3)
     => ? [X4] : rp(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f134,plain,
    ( spl7_1
    | spl7_6 ),
    inference(avatar_split_clause,[],[f133,f127,f84]) ).

fof(f84,plain,
    ( spl7_1
  <=> xsd_string(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f133,plain,
    ( cc(sK0)
    | xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f132,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X3] :
      ( xsd_string(X3)
    <=> ~ xsd_integer(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f132,plain,
    ( cc(sK0)
    | ~ xsd_integer(sK3)
    | xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f131,f58]) ).

fof(f58,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f131,plain,
    ( cc(sK0)
    | ~ xsd_integer(sK3)
    | xsd_string(sK3)
    | ~ cowlThing(sK4) ),
    inference(subsumption_resolution,[],[f47,f59]) ).

fof(f59,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f17]) ).

fof(f47,plain,
    ( cc(sK0)
    | ~ xsd_integer(sK3)
    | xsd_string(sK3)
    | cowlNothing(sK4)
    | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ( ( ( sK1 != sK2
          & rp(sK0,sK2)
          & rp(sK0,sK1) )
        | ! [X3] : ~ rp(sK0,X3) )
      & cc(sK0) )
    | ( ( xsd_integer(sK3)
        | ~ xsd_string(sK3) )
      & ( ~ xsd_integer(sK3)
        | xsd_string(sK3) ) )
    | cowlNothing(sK4)
    | ~ cowlThing(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f38,f42,f41,f40,f39]) ).

fof(f39,plain,
    ( ? [X0] :
        ( ( ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) )
          | ! [X3] : ~ rp(X0,X3) )
        & cc(X0) )
   => ( ( ? [X2,X1] :
            ( X1 != X2
            & rp(sK0,X2)
            & rp(sK0,X1) )
        | ! [X3] : ~ rp(sK0,X3) )
      & cc(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ( ? [X2,X1] :
        ( X1 != X2
        & rp(sK0,X2)
        & rp(sK0,X1) )
   => ( sK1 != sK2
      & rp(sK0,sK2)
      & rp(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ( ? [X4] :
        ( ( xsd_integer(X4)
          | ~ xsd_string(X4) )
        & ( ~ xsd_integer(X4)
          | xsd_string(X4) ) )
   => ( ( xsd_integer(sK3)
        | ~ xsd_string(sK3) )
      & ( ~ xsd_integer(sK3)
        | xsd_string(sK3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ( ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) )
   => ( cowlNothing(sK4)
      | ~ cowlThing(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ( ? [X0] :
        ( ( ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) )
          | ! [X3] : ~ rp(X0,X3) )
        & cc(X0) )
    | ? [X4] :
        ( ( xsd_integer(X4)
          | ~ xsd_string(X4) )
        & ( ~ xsd_integer(X4)
          | xsd_string(X4) ) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ( ? [X0] :
        ( ( ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) )
          | ! [X3] : ~ rp(X0,X3) )
        & cc(X0) )
    | ? [X4] :
        ( xsd_string(X4)
      <~> ~ xsd_integer(X4) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ( ? [X0] :
        ( ( ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) )
          | ! [X3] : ~ rp(X0,X3) )
        & cc(X0) )
    | ? [X4] :
        ( xsd_string(X4)
      <~> ~ xsd_integer(X4) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ( ! [X0] :
          ( cc(X0)
         => ( ! [X1,X2] :
                ( ( rp(X0,X2)
                  & rp(X0,X1) )
               => X1 = X2 )
            & ? [X3] : rp(X0,X3) ) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X5] :
          ( ~ cowlNothing(X5)
          & cowlThing(X5) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ( ! [X3] :
          ( cc(X3)
         => ( ! [X4,X5] :
                ( ( rp(X3,X5)
                  & rp(X3,X4) )
               => X4 = X5 )
            & ? [X4] : rp(X3,X4) ) )
      & ! [X3] :
          ( xsd_string(X3)
        <=> ~ xsd_integer(X3) )
      & ! [X3] :
          ( ~ cowlNothing(X3)
          & cowlThing(X3) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ( ! [X3] :
        ( cc(X3)
       => ( ! [X4,X5] :
              ( ( rp(X3,X5)
                & rp(X3,X4) )
             => X4 = X5 )
          & ? [X4] : rp(X3,X4) ) )
    & ! [X3] :
        ( xsd_string(X3)
      <=> ~ xsd_integer(X3) )
    & ! [X3] :
        ( ~ cowlNothing(X3)
        & cowlThing(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f130,plain,
    ( ~ spl7_1
    | spl7_6 ),
    inference(avatar_split_clause,[],[f125,f127,f84]) ).

fof(f125,plain,
    ( cc(sK0)
    | ~ xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f124,f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f124,plain,
    ( cc(sK0)
    | xsd_integer(sK3)
    | ~ xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f123,f58]) ).

fof(f123,plain,
    ( cc(sK0)
    | xsd_integer(sK3)
    | ~ xsd_string(sK3)
    | ~ cowlThing(sK4) ),
    inference(subsumption_resolution,[],[f48,f59]) ).

fof(f48,plain,
    ( cc(sK0)
    | xsd_integer(sK3)
    | ~ xsd_string(sK3)
    | cowlNothing(sK4)
    | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f122,plain,
    ( spl7_1
    | spl7_2
    | spl7_5 ),
    inference(avatar_split_clause,[],[f121,f115,f88,f84]) ).

fof(f121,plain,
    ! [X3] :
      ( rp(sK0,sK1)
      | ~ rp(sK0,X3)
      | xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f120,f65]) ).

fof(f120,plain,
    ! [X3] :
      ( rp(sK0,sK1)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f119,f58]) ).

fof(f119,plain,
    ! [X3] :
      ( rp(sK0,sK1)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | ~ cowlThing(sK4) ),
    inference(subsumption_resolution,[],[f49,f59]) ).

fof(f49,plain,
    ! [X3] :
      ( rp(sK0,sK1)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f118,plain,
    ( ~ spl7_1
    | spl7_2
    | spl7_5 ),
    inference(avatar_split_clause,[],[f113,f115,f88,f84]) ).

fof(f113,plain,
    ! [X3] :
      ( rp(sK0,sK1)
      | ~ rp(sK0,X3)
      | ~ xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f112,f64]) ).

fof(f112,plain,
    ! [X3] :
      ( rp(sK0,sK1)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f111,f58]) ).

fof(f111,plain,
    ! [X3] :
      ( rp(sK0,sK1)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | ~ cowlThing(sK4) ),
    inference(subsumption_resolution,[],[f50,f59]) ).

fof(f50,plain,
    ! [X3] :
      ( rp(sK0,sK1)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f110,plain,
    ( spl7_1
    | spl7_2
    | spl7_4 ),
    inference(avatar_split_clause,[],[f109,f103,f88,f84]) ).

fof(f109,plain,
    ! [X3] :
      ( rp(sK0,sK2)
      | ~ rp(sK0,X3)
      | xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f108,f65]) ).

fof(f108,plain,
    ! [X3] :
      ( rp(sK0,sK2)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f107,f58]) ).

fof(f107,plain,
    ! [X3] :
      ( rp(sK0,sK2)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | ~ cowlThing(sK4) ),
    inference(subsumption_resolution,[],[f51,f59]) ).

fof(f51,plain,
    ! [X3] :
      ( rp(sK0,sK2)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f106,plain,
    ( ~ spl7_1
    | spl7_2
    | spl7_4 ),
    inference(avatar_split_clause,[],[f101,f103,f88,f84]) ).

fof(f101,plain,
    ! [X3] :
      ( rp(sK0,sK2)
      | ~ rp(sK0,X3)
      | ~ xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f100,f64]) ).

fof(f100,plain,
    ! [X3] :
      ( rp(sK0,sK2)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f99,f58]) ).

fof(f99,plain,
    ! [X3] :
      ( rp(sK0,sK2)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | ~ cowlThing(sK4) ),
    inference(subsumption_resolution,[],[f52,f59]) ).

fof(f52,plain,
    ! [X3] :
      ( rp(sK0,sK2)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f98,plain,
    ( spl7_1
    | spl7_2
    | ~ spl7_3 ),
    inference(avatar_split_clause,[],[f97,f91,f88,f84]) ).

fof(f97,plain,
    ! [X3] :
      ( ~ sQ6_eqProxy(sK1,sK2)
      | ~ rp(sK0,X3)
      | xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f96,f65]) ).

fof(f96,plain,
    ! [X3] :
      ( ~ sQ6_eqProxy(sK1,sK2)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f95,f58]) ).

fof(f95,plain,
    ! [X3] :
      ( ~ sQ6_eqProxy(sK1,sK2)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | ~ cowlThing(sK4) ),
    inference(subsumption_resolution,[],[f77,f59]) ).

fof(f77,plain,
    ! [X3] :
      ( ~ sQ6_eqProxy(sK1,sK2)
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(equality_proxy_replacement,[],[f53,f75]) ).

fof(f53,plain,
    ! [X3] :
      ( sK1 != sK2
      | ~ rp(sK0,X3)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f94,plain,
    ( ~ spl7_1
    | spl7_2
    | ~ spl7_3 ),
    inference(avatar_split_clause,[],[f82,f91,f88,f84]) ).

fof(f82,plain,
    ! [X3] :
      ( ~ sQ6_eqProxy(sK1,sK2)
      | ~ rp(sK0,X3)
      | ~ xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f81,f64]) ).

fof(f81,plain,
    ! [X3] :
      ( ~ sQ6_eqProxy(sK1,sK2)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3) ),
    inference(subsumption_resolution,[],[f80,f58]) ).

fof(f80,plain,
    ! [X3] :
      ( ~ sQ6_eqProxy(sK1,sK2)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | ~ cowlThing(sK4) ),
    inference(subsumption_resolution,[],[f76,f59]) ).

fof(f76,plain,
    ! [X3] :
      ( ~ sQ6_eqProxy(sK1,sK2)
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(equality_proxy_replacement,[],[f54,f75]) ).

fof(f54,plain,
    ! [X3] :
      ( sK1 != sK2
      | ~ rp(sK0,X3)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KRS143+1 : TPTP v8.2.0. Released v3.1.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 21:56:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.74  % (20502)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.74  % (20495)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.74  % (20497)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.74  % (20496)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.74  % (20500)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.74  % (20502)First to succeed.
% 0.57/0.74  % (20502)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20494"
% 0.57/0.74  % (20495)Also succeeded, but the first one will report.
% 0.57/0.74  % (20500)Also succeeded, but the first one will report.
% 0.57/0.74  % (20496)Also succeeded, but the first one will report.
% 0.57/0.74  % (20497)Also succeeded, but the first one will report.
% 0.57/0.74  % (20502)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for theBenchmark
% 0.57/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.74  % (20502)------------------------------
% 0.57/0.74  % (20502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (20502)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (20502)Memory used [KB]: 1008
% 0.57/0.74  % (20502)Time elapsed: 0.003 s
% 0.57/0.74  % (20502)Instructions burned: 6 (million)
% 0.57/0.74  % (20494)Success in time 0.371 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------