TSTP Solution File: KRS140+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS140+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.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 : Wed Aug 31 17:30:55 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  116 (  19 unt;   3 typ;   0 def)
%            Number of atoms       :  423 (  47 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  516 ( 206   ~; 253   |;  40   &)
%                                         (   5 <=>;  10  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  136 ( 108   !;  28   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_7,type,
    sQ6_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_8,type,
    sQ7_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_9,type,
    sQ8_eqProxy: ( $real * $real ) > $o ).

fof(f391,plain,
    $false,
    inference(subsumption_resolution,[],[f90,f389]) ).

fof(f389,plain,
    ! [X0] : ~ rsymProp(ia,X0),
    inference(subsumption_resolution,[],[f383,f347]) ).

fof(f347,plain,
    rsymProp(sK3,ia),
    inference(backward_demodulation,[],[f167,f334]) ).

fof(f334,plain,
    ia = sK1,
    inference(resolution,[],[f332,f90]) ).

fof(f332,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ia = sK1 ),
    inference(subsumption_resolution,[],[f331,f90]) ).

fof(f331,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ia = sK1
      | ~ rsymProp(ia,ia) ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f328,plain,
    ! [X0] :
      ( ia = sK1
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(ia,ia)
      | ia = sK1 ),
    inference(superposition,[],[f257,f238]) ).

fof(f238,plain,
    ( ia = sK3
    | ia = sK1 ),
    inference(resolution,[],[f232,f184]) ).

fof(f184,plain,
    ( rsymProp(ib,sK2)
    | ia = sK1 ),
    inference(superposition,[],[f150,f168]) ).

fof(f168,plain,
    ( ib = sK1
    | ia = sK1 ),
    inference(resolution,[],[f165,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ rsymProp(X1,X0)
      | ib = X0
      | ia = X0 ),
    inference(literal_reordering,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ib = X0
      | ia = X0
      | ~ rsymProp(X1,X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ib = X0
      | ~ rsymProp(X1,X0)
      | ia = X0 ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ia = X0
      | ib = X0
      | ~ rsymProp(X1,X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( rsymProp(X1,X0)
     => ( ia = X0
        | ib = X0 ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X4,X3] :
      ( rsymProp(X3,X4)
     => ( ib = X4
        | ia = X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f165,plain,
    rsymProp(sK2,sK1),
    inference(resolution,[],[f150,f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ rsymProp(X1,X0)
      | rsymProp(X0,X1) ),
    inference(literal_reordering,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ rsymProp(X1,X0)
      | rsymProp(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( rsymProp(X0,X1)
      | ~ rsymProp(X1,X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X1,X0] :
      ( rsymProp(X1,X0)
     => rsymProp(X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X4,X3] :
      ( rsymProp(X3,X4)
     => rsymProp(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f150,plain,
    rsymProp(sK1,sK2),
    inference(resolution,[],[f149,f90]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2) ),
    inference(subsumption_resolution,[],[f148,f143]) ).

fof(f143,plain,
    ! [X0] :
      ( xsd_string(sK4)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2) ),
    inference(subsumption_resolution,[],[f142,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(literal_reordering,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) )
      & ( xsd_string(X0)
        | xsd_integer(X0) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
    <=> xsd_string(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X3] :
      ( xsd_string(X3)
    <=> ~ xsd_integer(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f142,plain,
    ! [X0] :
      ( ~ xsd_integer(sK4)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2)
      | xsd_string(sK4) ),
    inference(subsumption_resolution,[],[f141,f103]) ).

fof(f103,plain,
    ! [X0] : cowlThing(X0),
    inference(literal_reordering,[],[f62]) ).

fof(f62,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f141,plain,
    ! [X0] :
      ( ~ xsd_integer(sK4)
      | ~ cowlThing(sK0)
      | xsd_string(sK4)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2) ),
    inference(subsumption_resolution,[],[f140,f87]) ).

fof(f87,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(literal_reordering,[],[f63]) ).

fof(f63,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0)
      | xsd_string(sK4)
      | ~ xsd_integer(sK4) ),
    inference(subsumption_resolution,[],[f85,f103]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ xsd_integer(sK4)
      | ~ cowlThing(X0)
      | rsymProp(sK1,sK2)
      | xsd_string(sK4)
      | ~ rsymProp(ia,X0)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0) ),
    inference(literal_reordering,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2)
      | cowlNothing(sK0)
      | ~ xsd_integer(sK4)
      | ~ cowlThing(sK0)
      | xsd_string(sK4)
      | ~ cowlThing(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ! [X0] :
        ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) )
    | ~ cowlThing(sK0)
    | cowlNothing(sK0)
    | ( ~ rsymProp(sK3,sK2)
      & rsymProp(sK1,sK2)
      & rsymProp(sK3,sK1) )
    | ( ( ~ xsd_string(sK4)
        | xsd_integer(sK4) )
      & ( xsd_string(sK4)
        | ~ xsd_integer(sK4) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f46,f49,f48,f47]) ).

fof(f47,plain,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
   => ( ~ cowlThing(sK0)
      | cowlNothing(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ( ? [X2,X3,X4] :
        ( ~ rsymProp(X4,X3)
        & rsymProp(X2,X3)
        & rsymProp(X4,X2) )
   => ( ~ rsymProp(sK3,sK2)
      & rsymProp(sK1,sK2)
      & rsymProp(sK3,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ( ? [X5] :
        ( ( ~ xsd_string(X5)
          | xsd_integer(X5) )
        & ( xsd_string(X5)
          | ~ xsd_integer(X5) ) )
   => ( ( ~ xsd_string(sK4)
        | xsd_integer(sK4) )
      & ( xsd_string(sK4)
        | ~ xsd_integer(sK4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ( ! [X0] :
        ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) )
    | ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ? [X2,X3,X4] :
        ( ~ rsymProp(X4,X3)
        & rsymProp(X2,X3)
        & rsymProp(X4,X2) )
    | ? [X5] :
        ( ( ~ xsd_string(X5)
          | xsd_integer(X5) )
        & ( xsd_string(X5)
          | ~ xsd_integer(X5) ) ) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ( ! [X1] :
        ( ~ cowlThing(X1)
        | ~ rsymProp(ia,X1) )
    | ? [X5] :
        ( ~ cowlThing(X5)
        | cowlNothing(X5) )
    | ? [X2,X4,X3] :
        ( ~ rsymProp(X3,X4)
        & rsymProp(X2,X4)
        & rsymProp(X3,X2) )
    | ? [X0] :
        ( ( ~ xsd_string(X0)
          | xsd_integer(X0) )
        & ( xsd_string(X0)
          | ~ xsd_integer(X0) ) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( ! [X1] :
        ( ~ cowlThing(X1)
        | ~ rsymProp(ia,X1) )
    | ? [X5] :
        ( ~ cowlThing(X5)
        | cowlNothing(X5) )
    | ? [X2,X4,X3] :
        ( ~ rsymProp(X3,X4)
        & rsymProp(X2,X4)
        & rsymProp(X3,X2) )
    | ? [X0] :
        ( ~ xsd_integer(X0)
      <~> xsd_string(X0) ) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ( ? [X0] :
        ( ~ xsd_integer(X0)
      <~> xsd_string(X0) )
    | ? [X2,X4,X3] :
        ( ~ rsymProp(X3,X4)
        & rsymProp(X3,X2)
        & rsymProp(X2,X4) )
    | ? [X5] :
        ( ~ cowlThing(X5)
        | cowlNothing(X5) )
    | ! [X1] :
        ( ~ cowlThing(X1)
        | ~ rsymProp(ia,X1) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ( ! [X0] :
          ( ~ xsd_integer(X0)
        <=> xsd_string(X0) )
      & ! [X2,X4,X3] :
          ( ( rsymProp(X3,X2)
            & rsymProp(X2,X4) )
         => rsymProp(X3,X4) )
      & ! [X5] :
          ( cowlThing(X5)
          & ~ cowlNothing(X5) )
      & ? [X1] :
          ( cowlThing(X1)
          & rsymProp(ia,X1) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ( ! [X3] :
          ( xsd_string(X3)
        <=> ~ xsd_integer(X3) )
      & ? [X3] :
          ( rsymProp(ia,X3)
          & cowlThing(X3) )
      & ! [X4,X3,X5] :
          ( ( rsymProp(X3,X4)
            & rsymProp(X4,X5) )
         => rsymProp(X3,X5) )
      & ! [X3] :
          ( cowlThing(X3)
          & ~ cowlNothing(X3) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ( ! [X3] :
        ( xsd_string(X3)
      <=> ~ xsd_integer(X3) )
    & ? [X3] :
        ( rsymProp(ia,X3)
        & cowlThing(X3) )
    & ! [X4,X3,X5] :
        ( ( rsymProp(X3,X4)
          & rsymProp(X4,X5) )
       => rsymProp(X3,X5) )
    & ! [X3] :
        ( cowlThing(X3)
        & ~ cowlNothing(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f148,plain,
    ! [X0] :
      ( ~ xsd_string(sK4)
      | rsymProp(sK1,sK2)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f147,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(literal_reordering,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f147,plain,
    ! [X0] :
      ( rsymProp(sK1,sK2)
      | ~ rsymProp(ia,X0)
      | ~ xsd_string(sK4)
      | xsd_integer(sK4) ),
    inference(subsumption_resolution,[],[f146,f103]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ xsd_string(sK4)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2)
      | xsd_integer(sK4)
      | ~ cowlThing(X0) ),
    inference(subsumption_resolution,[],[f145,f87]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ xsd_string(sK4)
      | xsd_integer(sK4)
      | rsymProp(sK1,sK2)
      | cowlNothing(sK0)
      | ~ cowlThing(X0)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f92,f103]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ xsd_string(sK4)
      | ~ rsymProp(ia,X0)
      | xsd_integer(sK4)
      | ~ cowlThing(sK0)
      | cowlNothing(sK0)
      | ~ cowlThing(X0)
      | rsymProp(sK1,sK2) ),
    inference(literal_reordering,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | cowlNothing(sK0)
      | ~ cowlThing(X0)
      | ~ cowlThing(sK0)
      | rsymProp(sK1,sK2)
      | ~ xsd_string(sK4)
      | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f232,plain,
    ( ~ rsymProp(ib,sK2)
    | ia = sK3 ),
    inference(resolution,[],[f200,f90]) ).

fof(f200,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ia = sK3
      | ~ rsymProp(ib,sK2) ),
    inference(superposition,[],[f163,f178]) ).

fof(f178,plain,
    ( ib = sK3
    | ia = sK3 ),
    inference(resolution,[],[f171,f86]) ).

fof(f171,plain,
    rsymProp(sK1,sK3),
    inference(resolution,[],[f167,f94]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ rsymProp(sK3,sK2)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f162,f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ rsymProp(sK3,sK2)
      | xsd_string(sK4)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f153,f100]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ xsd_integer(sK4)
      | xsd_string(sK4)
      | ~ rsymProp(sK3,sK2)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f152,f87]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ rsymProp(sK3,sK2)
      | ~ xsd_integer(sK4)
      | cowlNothing(sK0)
      | xsd_string(sK4)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f151,f103]) ).

fof(f151,plain,
    ! [X0] :
      ( xsd_string(sK4)
      | ~ rsymProp(ia,X0)
      | ~ xsd_integer(sK4)
      | ~ cowlThing(X0)
      | cowlNothing(sK0)
      | ~ rsymProp(sK3,sK2) ),
    inference(subsumption_resolution,[],[f95,f103]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ xsd_integer(sK4)
      | ~ cowlThing(sK0)
      | xsd_string(sK4)
      | cowlNothing(sK0)
      | ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK3,sK2) ),
    inference(literal_reordering,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( xsd_string(sK4)
      | ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK3,sK2)
      | ~ cowlThing(sK0)
      | ~ xsd_integer(sK4)
      | cowlNothing(sK0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ xsd_string(sK4)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK3,sK2) ),
    inference(subsumption_resolution,[],[f161,f98]) ).

fof(f161,plain,
    ! [X0] :
      ( xsd_integer(sK4)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK3,sK2)
      | ~ xsd_string(sK4) ),
    inference(subsumption_resolution,[],[f160,f103]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | xsd_integer(sK4)
      | ~ xsd_string(sK4)
      | ~ cowlThing(sK0)
      | ~ rsymProp(sK3,sK2) ),
    inference(subsumption_resolution,[],[f159,f87]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | cowlNothing(sK0)
      | ~ xsd_string(sK4)
      | ~ rsymProp(sK3,sK2)
      | xsd_integer(sK4)
      | ~ cowlThing(sK0) ),
    inference(subsumption_resolution,[],[f102,f103]) ).

fof(f102,plain,
    ! [X0] :
      ( xsd_integer(sK4)
      | ~ cowlThing(X0)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK3,sK2)
      | ~ xsd_string(sK4) ),
    inference(literal_reordering,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ xsd_string(sK4)
      | xsd_integer(sK4)
      | ~ cowlThing(X0)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK3,sK2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f257,plain,
    ! [X0] :
      ( ~ rsymProp(sK3,ia)
      | ia = sK1
      | ~ rsymProp(ia,X0) ),
    inference(superposition,[],[f163,f236]) ).

fof(f236,plain,
    ( ia = sK2
    | ia = sK1 ),
    inference(resolution,[],[f209,f90]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ia = sK1
      | ia = sK2 ),
    inference(resolution,[],[f182,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ rsymProp(sK3,ib)
      | ia = sK2
      | ~ rsymProp(ia,X0) ),
    inference(superposition,[],[f163,f164]) ).

fof(f164,plain,
    ( ib = sK2
    | ia = sK2 ),
    inference(resolution,[],[f150,f86]) ).

fof(f182,plain,
    ( rsymProp(sK3,ib)
    | ia = sK1 ),
    inference(superposition,[],[f167,f168]) ).

fof(f167,plain,
    rsymProp(sK3,sK1),
    inference(resolution,[],[f166,f90]) ).

fof(f166,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | rsymProp(sK3,sK1) ),
    inference(subsumption_resolution,[],[f139,f158]) ).

fof(f158,plain,
    ! [X0] :
      ( xsd_integer(sK4)
      | rsymProp(sK3,sK1)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f157,f138]) ).

fof(f138,plain,
    ! [X0] :
      ( xsd_string(sK4)
      | rsymProp(sK3,sK1)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f137,f100]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ xsd_integer(sK4)
      | xsd_string(sK4)
      | rsymProp(sK3,sK1)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f136,f87]) ).

fof(f136,plain,
    ! [X0] :
      ( cowlNothing(sK0)
      | rsymProp(sK3,sK1)
      | xsd_string(sK4)
      | ~ xsd_integer(sK4)
      | ~ rsymProp(ia,X0) ),
    inference(subsumption_resolution,[],[f135,f103]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ xsd_integer(sK4)
      | ~ cowlThing(sK0)
      | cowlNothing(sK0)
      | rsymProp(sK3,sK1)
      | ~ rsymProp(ia,X0)
      | xsd_string(sK4) ),
    inference(subsumption_resolution,[],[f82,f103]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ~ cowlThing(X0)
      | ~ cowlThing(sK0)
      | rsymProp(sK3,sK1)
      | cowlNothing(sK0)
      | xsd_string(sK4)
      | ~ xsd_integer(sK4) ),
    inference(literal_reordering,[],[f56]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ cowlThing(sK0)
      | xsd_string(sK4)
      | ~ cowlThing(X0)
      | ~ xsd_integer(sK4)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK3,sK1)
      | cowlNothing(sK0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ~ xsd_string(sK4)
      | rsymProp(sK3,sK1)
      | xsd_integer(sK4) ),
    inference(subsumption_resolution,[],[f156,f103]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ xsd_string(sK4)
      | ~ cowlThing(sK0)
      | rsymProp(sK3,sK1)
      | ~ rsymProp(ia,X0)
      | xsd_integer(sK4) ),
    inference(subsumption_resolution,[],[f155,f87]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | rsymProp(sK3,sK1)
      | xsd_integer(sK4)
      | ~ xsd_string(sK4)
      | cowlNothing(sK0)
      | ~ cowlThing(sK0) ),
    inference(subsumption_resolution,[],[f101,f103]) ).

fof(f101,plain,
    ! [X0] :
      ( rsymProp(sK3,sK1)
      | ~ xsd_string(sK4)
      | ~ cowlThing(X0)
      | xsd_integer(sK4)
      | cowlNothing(sK0)
      | ~ rsymProp(ia,X0)
      | ~ cowlThing(sK0) ),
    inference(literal_reordering,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ cowlThing(sK0)
      | rsymProp(sK3,sK1)
      | cowlNothing(sK0)
      | ~ xsd_string(sK4)
      | ~ rsymProp(ia,X0)
      | ~ cowlThing(X0)
      | xsd_integer(sK4) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f139,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | rsymProp(sK3,sK1)
      | ~ xsd_integer(sK4) ),
    inference(resolution,[],[f138,f98]) ).

fof(f383,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ~ rsymProp(sK3,ia) ),
    inference(backward_demodulation,[],[f163,f357]) ).

fof(f357,plain,
    ia = sK2,
    inference(subsumption_resolution,[],[f350,f251]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ rsymProp(ia,ib)
      | ~ rsymProp(ia,X0)
      | ia = sK2 ),
    inference(duplicate_literal_removal,[],[f247]) ).

fof(f247,plain,
    ! [X0] :
      ( ia = sK2
      | ia = sK2
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(ia,ib) ),
    inference(superposition,[],[f175,f234]) ).

fof(f234,plain,
    ( ia = sK3
    | ia = sK2 ),
    inference(resolution,[],[f203,f90]) ).

fof(f203,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ia = sK2
      | ia = sK3 ),
    inference(subsumption_resolution,[],[f197,f88]) ).

fof(f88,plain,
    rsymProp(ib,ib),
    inference(literal_reordering,[],[f74]) ).

fof(f74,plain,
    rsymProp(ib,ib),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    rsymProp(ib,ib),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f197,plain,
    ! [X0] :
      ( ~ rsymProp(ia,X0)
      | ~ rsymProp(ib,ib)
      | ia = sK3
      | ia = sK2 ),
    inference(superposition,[],[f175,f178]) ).

fof(f350,plain,
    ( rsymProp(ia,ib)
    | ia = sK2 ),
    inference(backward_demodulation,[],[f174,f334]) ).

fof(f174,plain,
    ( rsymProp(sK1,ib)
    | ia = sK2 ),
    inference(superposition,[],[f150,f164]) ).

fof(f90,plain,
    rsymProp(ia,ia),
    inference(literal_reordering,[],[f69]) ).

fof(f69,plain,
    rsymProp(ia,ia),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    rsymProp(ia,ia),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS140+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:35:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.43  % (11009)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.44  % (11009)First to succeed.
% 0.19/0.44  % (11009)Refutation found. Thanks to Tanya!
% 0.19/0.44  % SZS status Theorem for theBenchmark
% 0.19/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44  % (11009)------------------------------
% 0.19/0.44  % (11009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44  % (11009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44  % (11009)Termination reason: Refutation
% 0.19/0.44  
% 0.19/0.44  % (11009)Memory used [KB]: 5884
% 0.19/0.44  % (11009)Time elapsed: 0.015 s
% 0.19/0.44  % (11009)Instructions burned: 11 (million)
% 0.19/0.44  % (11009)------------------------------
% 0.19/0.44  % (11009)------------------------------
% 0.19/0.44  % (10991)Success in time 0.092 s
%------------------------------------------------------------------------------