TSTP Solution File: KRS144+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS144+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 : Sun May  5 07:19:49 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   97 (   7 unt;   0 def)
%            Number of atoms       :  445 ( 105 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  514 ( 166   ~; 205   |; 116   &)
%                                         (   5 <=>;  19  =>;   0  <=;   3 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-1 aty)
%            Number of variables   :  163 ( 101   !;  62   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f176,plain,
    $false,
    inference(subsumption_resolution,[],[f173,f174]) ).

fof(f174,plain,
    ~ xsd_string(sK5),
    inference(unit_resulting_resolution,[],[f171,f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,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(f171,plain,
    xsd_integer(sK5),
    inference(unit_resulting_resolution,[],[f170,f99]) ).

fof(f99,plain,
    ( ~ sP1
    | xsd_integer(sK5) ),
    inference(duplicate_literal_removal,[],[f98]) ).

fof(f98,plain,
    ( xsd_integer(sK5)
    | ~ sP1
    | xsd_integer(sK5) ),
    inference(resolution,[],[f65,f82]) ).

fof(f82,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f65,plain,
    ( ~ xsd_string(sK5)
    | xsd_integer(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ( ( ( xsd_integer(sK5)
        | ~ xsd_string(sK5) )
      & ( ~ xsd_integer(sK5)
        | xsd_string(sK5) ) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f46,f47]) ).

fof(f47,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
   => ( ( xsd_integer(sK5)
        | ~ xsd_string(sK5) )
      & ( ~ xsd_integer(sK5)
        | xsd_string(sK5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ~ sP1 ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ( ? [X7] :
        ( ( xsd_integer(X7)
          | ~ xsd_string(X7) )
        & ( ~ xsd_integer(X7)
          | xsd_string(X7) ) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ? [X7] :
        ( xsd_string(X7)
      <~> ~ xsd_integer(X7) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f170,plain,
    sP1,
    inference(subsumption_resolution,[],[f169,f121]) ).

fof(f121,plain,
    ( sK7(sK4) != sK8(sK4)
    | sP1 ),
    inference(resolution,[],[f119,f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK7(X0) != sK8(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ( sK7(X0) != sK8(X0)
        & sK6(X0) != sK8(X0)
        & sK6(X0) != sK7(X0)
        & rp(X0,sK8(X0))
        & rp(X0,sK7(X0))
        & rp(X0,sK6(X0)) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f50,f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & X1 != X3
          & X1 != X2
          & rp(X0,X3)
          & rp(X0,X2)
          & rp(X0,X1) )
     => ( sK7(X0) != sK8(X0)
        & sK6(X0) != sK8(X0)
        & sK6(X0) != sK7(X0)
        & rp(X0,sK8(X0))
        & rp(X0,sK7(X0))
        & rp(X0,sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & X1 != X3
          & X1 != X2
          & rp(X0,X3)
          & rp(X0,X2)
          & rp(X0,X1) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X3] :
      ( ? [X4,X5,X6] :
          ( X5 != X6
          & X4 != X6
          & X4 != X5
          & rp(X3,X6)
          & rp(X3,X5)
          & rp(X3,X4) )
      | ~ sP0(X3) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X3] :
      ( ? [X4,X5,X6] :
          ( X5 != X6
          & X4 != X6
          & X4 != X5
          & rp(X3,X6)
          & rp(X3,X5)
          & rp(X3,X4) )
      | ~ sP0(X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f119,plain,
    ( sP0(sK4)
    | sP1 ),
    inference(resolution,[],[f118,f63]) ).

fof(f63,plain,
    ( ~ sP2
    | sP0(sK4) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ( ( sP0(sK4)
      & cc(sK4) )
    | ~ sP2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f42,f43]) ).

fof(f43,plain,
    ( ? [X0] :
        ( sP0(X0)
        & cc(X0) )
   => ( sP0(sK4)
      & cc(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ( ? [X0] :
        ( sP0(X0)
        & cc(X0) )
    | ~ sP2 ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ( ? [X3] :
        ( sP0(X3)
        & cc(X3) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ? [X3] :
        ( sP0(X3)
        & cc(X3) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f118,plain,
    ( sP2
    | sP1 ),
    inference(subsumption_resolution,[],[f116,f103]) ).

fof(f103,plain,
    ( sK11(sK9) != sK12(sK9)
    | sP1
    | sP2 ),
    inference(resolution,[],[f102,f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | sK11(X0) != sK12(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( ( sK11(X0) != sK12(X0)
        & rp(X0,sK12(X0))
        & rp(X0,sK11(X0)) )
      | ~ sP3(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f58,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & rp(X0,X2)
          & rp(X0,X1) )
     => ( sK11(X0) != sK12(X0)
        & rp(X0,sK12(X0))
        & rp(X0,sK11(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & rp(X0,X2)
          & rp(X0,X1) )
      | ~ sP3(X0) ),
    inference(rectify,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ? [X4,X5] :
          ( X4 != X5
          & rp(X0,X5)
          & rp(X0,X4) )
      | ~ sP3(X0) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ? [X4,X5] :
          ( X4 != X5
          & rp(X0,X5)
          & rp(X0,X4) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f102,plain,
    ( sP3(sK9)
    | sP2
    | sP1 ),
    inference(resolution,[],[f101,f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ~ cc(X0)
      | sP3(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ( ! [X1,X2,X3] :
            ( X2 = X3
            | X1 = X3
            | X1 = X2
            | ~ rp(X0,X3)
            | ~ rp(X0,X2)
            | ~ rp(X0,X1) )
        & sP3(X0) )
      | ~ cc(X0) ),
    inference(definition_folding,[],[f20,f39]) ).

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

fof(f19,plain,
    ! [X0] :
      ( ( ! [X1,X2,X3] :
            ( X2 = X3
            | X1 = X3
            | X1 = X2
            | ~ rp(X0,X3)
            | ~ rp(X0,X2)
            | ~ rp(X0,X1) )
        & ? [X4,X5] :
            ( X4 != X5
            & rp(X0,X5)
            & rp(X0,X4) ) )
      | ~ cc(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0] :
      ( cc(X0)
     => ( ! [X1,X2,X3] :
            ( ( rp(X0,X3)
              & rp(X0,X2)
              & rp(X0,X1) )
           => ( X2 = X3
              | X1 = X3
              | X1 = X2 ) )
        & ? [X4,X5] :
            ( X4 != X5
            & rp(X0,X5)
            & rp(X0,X4) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X3] :
      ( cc(X3)
     => ( ! [X4,X5,X6] :
            ( ( rp(X3,X6)
              & rp(X3,X5)
              & rp(X3,X4) )
           => ( X5 = X6
              | X4 = X6
              | X4 = X5 ) )
        & ? [X4,X5] :
            ( X4 != X5
            & rp(X3,X5)
            & rp(X3,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f101,plain,
    ( cc(sK9)
    | sP1
    | sP2 ),
    inference(subsumption_resolution,[],[f100,f75]) ).

fof(f75,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,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(f100,plain,
    ( sP2
    | sP1
    | cowlNothing(sK10)
    | cc(sK9) ),
    inference(resolution,[],[f72,f74]) ).

fof(f74,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f72,plain,
    ( ~ cowlThing(sK10)
    | sP2
    | sP1
    | cowlNothing(sK10)
    | cc(sK9) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ( ( ! [X1,X2] :
          ( X1 = X2
          | ~ rp(sK9,X2)
          | ~ rp(sK9,X1) )
      & cc(sK9) )
    | sP2
    | sP1
    | cowlNothing(sK10)
    | ~ cowlThing(sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f53,f55,f54]) ).

fof(f54,plain,
    ( ? [X0] :
        ( ! [X1,X2] :
            ( X1 = X2
            | ~ rp(X0,X2)
            | ~ rp(X0,X1) )
        & cc(X0) )
   => ( ! [X2,X1] :
          ( X1 = X2
          | ~ rp(sK9,X2)
          | ~ rp(sK9,X1) )
      & cc(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ( ? [X3] :
        ( cowlNothing(X3)
        | ~ cowlThing(X3) )
   => ( cowlNothing(sK10)
      | ~ cowlThing(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ( ? [X0] :
        ( ! [X1,X2] :
            ( X1 = X2
            | ~ rp(X0,X2)
            | ~ rp(X0,X1) )
        & cc(X0) )
    | sP2
    | sP1
    | ? [X3] :
        ( cowlNothing(X3)
        | ~ cowlThing(X3) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ( ? [X0] :
        ( ! [X1,X2] :
            ( X1 = X2
            | ~ rp(X0,X2)
            | ~ rp(X0,X1) )
        & cc(X0) )
    | sP2
    | sP1
    | ? [X8] :
        ( cowlNothing(X8)
        | ~ cowlThing(X8) ) ),
    inference(definition_folding,[],[f18,f37,f36,f35]) ).

fof(f18,plain,
    ( ? [X0] :
        ( ! [X1,X2] :
            ( X1 = X2
            | ~ rp(X0,X2)
            | ~ rp(X0,X1) )
        & cc(X0) )
    | ? [X3] :
        ( ? [X4,X5,X6] :
            ( X5 != X6
            & X4 != X6
            & X4 != X5
            & rp(X3,X6)
            & rp(X3,X5)
            & rp(X3,X4) )
        & cc(X3) )
    | ? [X7] :
        ( xsd_string(X7)
      <~> ~ xsd_integer(X7) )
    | ? [X8] :
        ( cowlNothing(X8)
        | ~ cowlThing(X8) ) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ( ? [X0] :
        ( ! [X1,X2] :
            ( X1 = X2
            | ~ rp(X0,X2)
            | ~ rp(X0,X1) )
        & cc(X0) )
    | ? [X3] :
        ( ? [X4,X5,X6] :
            ( X5 != X6
            & X4 != X6
            & X4 != X5
            & rp(X3,X6)
            & rp(X3,X5)
            & rp(X3,X4) )
        & cc(X3) )
    | ? [X7] :
        ( xsd_string(X7)
      <~> ~ xsd_integer(X7) )
    | ? [X8] :
        ( cowlNothing(X8)
        | ~ cowlThing(X8) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ~ ( ! [X0] :
          ( cc(X0)
         => ? [X1,X2] :
              ( X1 != X2
              & rp(X0,X2)
              & rp(X0,X1) ) )
      & ! [X3] :
          ( cc(X3)
         => ! [X4,X5,X6] :
              ( ( rp(X3,X6)
                & rp(X3,X5)
                & rp(X3,X4) )
             => ( X5 = X6
                | X4 = X6
                | X4 = X5 ) ) )
      & ! [X7] :
          ( xsd_string(X7)
        <=> ~ xsd_integer(X7) )
      & ! [X8] :
          ( ~ cowlNothing(X8)
          & cowlThing(X8) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ( ! [X3] :
          ( cc(X3)
         => ? [X4,X5] :
              ( X4 != X5
              & rp(X3,X5)
              & rp(X3,X4) ) )
      & ! [X3] :
          ( cc(X3)
         => ! [X4,X5,X6] :
              ( ( rp(X3,X6)
                & rp(X3,X5)
                & rp(X3,X4) )
             => ( X5 = X6
                | X4 = X6
                | X4 = X5 ) ) )
      & ! [X3] :
          ( xsd_string(X3)
        <=> ~ xsd_integer(X3) )
      & ! [X3] :
          ( ~ cowlNothing(X3)
          & cowlThing(X3) ) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ( ! [X3] :
        ( cc(X3)
       => ? [X4,X5] :
            ( X4 != X5
            & rp(X3,X5)
            & rp(X3,X4) ) )
    & ! [X3] :
        ( cc(X3)
       => ! [X4,X5,X6] :
            ( ( rp(X3,X6)
              & rp(X3,X5)
              & rp(X3,X4) )
           => ( X5 = X6
              | X4 = X6
              | X4 = X5 ) ) )
    & ! [X3] :
        ( xsd_string(X3)
      <=> ~ xsd_integer(X3) )
    & ! [X3] :
        ( ~ cowlNothing(X3)
        & cowlThing(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f116,plain,
    ( sK11(sK9) = sK12(sK9)
    | sP2
    | sP1 ),
    inference(duplicate_literal_removal,[],[f115]) ).

fof(f115,plain,
    ( sK11(sK9) = sK12(sK9)
    | sP2
    | sP1
    | sP1
    | sP2 ),
    inference(resolution,[],[f111,f105]) ).

fof(f105,plain,
    ( rp(sK9,sK11(sK9))
    | sP1
    | sP2 ),
    inference(resolution,[],[f102,f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | rp(X0,sK11(X0)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ rp(sK9,X0)
      | sK12(sK9) = X0
      | sP2
      | sP1 ),
    inference(subsumption_resolution,[],[f110,f74]) ).

fof(f110,plain,
    ! [X0] :
      ( sK12(sK9) = X0
      | ~ rp(sK9,X0)
      | sP2
      | sP1
      | ~ cowlThing(sK10) ),
    inference(subsumption_resolution,[],[f109,f75]) ).

fof(f109,plain,
    ! [X0] :
      ( sK12(sK9) = X0
      | ~ rp(sK9,X0)
      | sP2
      | sP1
      | cowlNothing(sK10)
      | ~ cowlThing(sK10) ),
    inference(duplicate_literal_removal,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( sK12(sK9) = X0
      | ~ rp(sK9,X0)
      | sP2
      | sP1
      | cowlNothing(sK10)
      | ~ cowlThing(sK10)
      | sP1
      | sP2 ),
    inference(resolution,[],[f73,f104]) ).

fof(f104,plain,
    ( rp(sK9,sK12(sK9))
    | sP1
    | sP2 ),
    inference(resolution,[],[f102,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | rp(X0,sK12(X0)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f73,plain,
    ! [X2,X1] :
      ( ~ rp(sK9,X2)
      | X1 = X2
      | ~ rp(sK9,X1)
      | sP2
      | sP1
      | cowlNothing(sK10)
      | ~ cowlThing(sK10) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f169,plain,
    ( sK7(sK4) = sK8(sK4)
    | sP1 ),
    inference(subsumption_resolution,[],[f166,f122]) ).

fof(f122,plain,
    ( sK8(sK4) != sK6(sK4)
    | sP1 ),
    inference(resolution,[],[f119,f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK6(X0) != sK8(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f166,plain,
    ( sK8(sK4) = sK6(sK4)
    | sK7(sK4) = sK8(sK4)
    | sP1 ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ( sK8(sK4) = sK6(sK4)
    | sK7(sK4) = sK8(sK4)
    | sP1
    | sP1 ),
    inference(resolution,[],[f157,f124]) ).

fof(f124,plain,
    ( rp(sK4,sK8(sK4))
    | sP1 ),
    inference(resolution,[],[f119,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rp(X0,sK8(X0)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ rp(sK4,X0)
      | sK6(sK4) = X0
      | sK7(sK4) = X0
      | sP1 ),
    inference(subsumption_resolution,[],[f155,f123]) ).

fof(f123,plain,
    ( sK7(sK4) != sK6(sK4)
    | sP1 ),
    inference(resolution,[],[f119,f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK6(X0) != sK7(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f155,plain,
    ! [X0] :
      ( sK7(sK4) = X0
      | sK7(sK4) = sK6(sK4)
      | sK6(sK4) = X0
      | ~ rp(sK4,X0)
      | sP1 ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( sK7(sK4) = X0
      | sK7(sK4) = sK6(sK4)
      | sK6(sK4) = X0
      | ~ rp(sK4,X0)
      | sP1
      | sP1 ),
    inference(resolution,[],[f142,f125]) ).

fof(f125,plain,
    ( rp(sK4,sK7(sK4))
    | sP1 ),
    inference(resolution,[],[f119,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rp(X0,sK7(X0)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ rp(sK4,X1)
      | X0 = X1
      | sK6(sK4) = X1
      | sK6(sK4) = X0
      | ~ rp(sK4,X0)
      | sP1 ),
    inference(subsumption_resolution,[],[f137,f120]) ).

fof(f120,plain,
    ( cc(sK4)
    | sP1 ),
    inference(resolution,[],[f118,f62]) ).

fof(f62,plain,
    ( ~ sP2
    | cc(sK4) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( sK6(sK4) = X0
      | X0 = X1
      | sK6(sK4) = X1
      | ~ rp(sK4,X1)
      | ~ rp(sK4,X0)
      | ~ cc(sK4)
      | sP1 ),
    inference(resolution,[],[f80,f126]) ).

fof(f126,plain,
    ( rp(sK4,sK6(sK4))
    | sP1 ),
    inference(resolution,[],[f119,f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | rp(X0,sK6(X0)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f80,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rp(X0,X3)
      | X1 = X3
      | X1 = X2
      | X2 = X3
      | ~ rp(X0,X2)
      | ~ rp(X0,X1)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f173,plain,
    xsd_string(sK5),
    inference(unit_resulting_resolution,[],[f170,f171,f64]) ).

fof(f64,plain,
    ( ~ xsd_integer(sK5)
    | xsd_string(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KRS144+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:52:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (25255)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (25258)WARNING: value z3 for option sas not known
% 0.14/0.38  % (25256)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (25257)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (25260)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (25258)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (25261)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (25262)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  % (25259)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (25262)First to succeed.
% 0.14/0.39  % (25262)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25255"
% 0.14/0.39  % (25262)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Theorem for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (25262)------------------------------
% 0.14/0.39  % (25262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39  % (25262)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (25262)Memory used [KB]: 844
% 0.14/0.39  % (25262)Time elapsed: 0.007 s
% 0.14/0.39  % (25262)Instructions burned: 9 (million)
% 0.14/0.39  % (25255)Success in time 0.023 s
%------------------------------------------------------------------------------