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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KRS144+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% 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 : Thu Sep 24 01:01:01 PM UTC 2026

% Result   : Theorem 0.13s 0.43s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  163 (  12 unt;   0 def)
%            Number of atoms       :  937 ( 191 equ)
%            Maximal formula atoms :  196 (   5 avg)
%            Number of connectives : 1179 ( 405   ~; 688   |;  68   &)
%                                         (   5 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-1 aty)
%            Number of variables   :  170 (   2 sgn  41   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X4] :
        ( cc(X4)
       => ? [X5,X6] :
            ( X5 != X6
            & rp(X4,X6)
            & rp(X4,X5) ) )
    & ! [X4] :
        ( cc(X4)
       => ! [X5,X6,X7] :
            ( ( rp(X4,X7)
              & rp(X4,X6)
              & rp(X4,X5) )
           => ( X6 = X7
              | X5 = X7
              | X5 = X6 ) ) )
    & ! [X4] :
        ( xsd_string(X4)
      <=> ~ xsd_integer(X4) )
    & ! [X4] :
        ( ~ cowlNothing(X4)
        & cowlThing(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X4] :
      ( ~ cowlNothing(X4)
      & cowlThing(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_2,axiom,
    ! [X4] :
      ( cc(X4)
     => ( ! [X5,X6,X7] :
            ( ( rp(X4,X7)
              & rp(X4,X6)
              & rp(X4,X5) )
           => ( X6 = X7
              | X5 = X7
              | X5 = X6 ) )
        & ? [X5,X6] :
            ( X5 != X6
            & rp(X4,X6)
            & rp(X4,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(c_0_4,negated_conjecture,
    ~ ( ! [X4] :
          ( cc(X4)
         => ? [X5,X6] :
              ( X5 != X6
              & rp(X4,X6)
              & rp(X4,X5) ) )
      & ! [X4] :
          ( cc(X4)
         => ! [X5,X6,X7] :
              ( ( rp(X4,X7)
                & rp(X4,X6)
                & rp(X4,X5) )
             => ( X6 = X7
                | X5 = X7
                | X5 = X6 ) ) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4] :
          ( ~ cowlNothing(X4)
          & cowlThing(X4) ) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(c_0_5,negated_conjecture,
    ~ ( ! [X4] :
          ( cc(X4)
         => ? [X5,X6] :
              ( X5 != X6
              & rp(X4,X6)
              & rp(X4,X5) ) )
      & ! [X4] :
          ( cc(X4)
         => ! [X5,X6,X7] :
              ( ( rp(X4,X7)
                & rp(X4,X6)
                & rp(X4,X5) )
             => ( X6 = X7
                | X5 = X7
                | X5 = X6 ) ) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4] :
          ( ~ cowlNothing(X4)
          & cowlThing(X4) ) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_6,plain,
    ! [X4] :
      ( ~ cowlNothing(X4)
      & cowlThing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_7,negated_conjecture,
    ! [X39,X40] :
      ( ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | esk7_0 != esk8_0
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | esk7_0 != esk8_0
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | esk6_0 != esk8_0
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | esk6_0 != esk8_0
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | esk6_0 != esk7_0
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | esk6_0 != esk7_0
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | rp(esk5_0,esk8_0)
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | rp(esk5_0,esk8_0)
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | rp(esk5_0,esk7_0)
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | rp(esk5_0,esk7_0)
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | rp(esk5_0,esk6_0)
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | rp(esk5_0,esk6_0)
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | cc(esk5_0)
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | ~ xsd_integer(esk4_0)
        | xsd_string(esk4_0)
        | cc(esk5_0)
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | esk7_0 != esk8_0
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | esk7_0 != esk8_0
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | esk6_0 != esk8_0
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | esk6_0 != esk8_0
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | esk6_0 != esk7_0
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | esk6_0 != esk7_0
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | rp(esk5_0,esk8_0)
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | rp(esk5_0,esk8_0)
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | rp(esk5_0,esk7_0)
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | rp(esk5_0,esk7_0)
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | rp(esk5_0,esk6_0)
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | rp(esk5_0,esk6_0)
        | cc(esk9_0) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | cc(esk5_0)
        | X39 = X40
        | ~ rp(esk9_0,X40)
        | ~ rp(esk9_0,X39) )
      & ( cowlNothing(esk3_0)
        | ~ cowlThing(esk3_0)
        | xsd_integer(esk4_0)
        | ~ xsd_string(esk4_0)
        | cc(esk5_0)
        | cc(esk9_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).

fof(c_0_8,plain,
    ! [X24] :
      ( ~ cowlNothing(X24)
      & cowlThing(X24) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).

fof(c_0_9,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_12,plain,
    ! [X25] :
      ( ( xsd_string(X25)
        | xsd_integer(X25) )
      & ( ~ xsd_integer(X25)
        | ~ xsd_string(X25) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_13,plain,
    ! [X4] :
      ( cc(X4)
     => ( ! [X5,X6,X7] :
            ( ( rp(X4,X7)
              & rp(X4,X6)
              & rp(X4,X5) )
           => ( X6 = X7
              | X5 = X7
              | X5 = X6 ) )
        & ? [X5,X6] :
            ( X5 != X6
            & rp(X4,X6)
            & rp(X4,X5) ) ) ),
    inference(fof_simplification,[status(thm)],[axiom_2]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_16,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,plain,
    ! [X26,X29,X30,X31] :
      ( ( ~ cc(X26)
        | X30 = X31
        | X29 = X31
        | X29 = X30
        | ~ rp(X26,X31)
        | ~ rp(X26,X30)
        | ~ rp(X26,X29) )
      & ( ~ cc(X26)
        | esk1_1(X26) != esk2_1(X26) )
      & ( ~ cc(X26)
        | rp(X26,esk2_1(X26)) )
      & ( ~ cc(X26)
        | rp(X26,esk1_1(X26)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11])]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_21,plain,
    ( ~ cc(X1)
    | rp(X1,esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_19,c_0_16]),c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | esk7_0 != esk8_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | esk7_0 != esk8_0
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0)
    | X1 = esk2_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_28,plain,
    ( ~ cc(X1)
    | rp(X1,esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_11])]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_11])]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | esk8_0 != esk7_0
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_11])]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | esk8_0 != esk7_0
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_11])]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | esk6_0 != esk7_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | esk6_0 != esk7_0
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | esk6_0 != esk8_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | esk6_0 != esk8_0
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_39,plain,
    ( ~ cc(X1)
    | esk1_1(X1) != esk2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_40,negated_conjecture,
    ( rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0)
    | esk2_1(esk9_0) = esk1_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_22]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_29,c_0_16]),c_0_17]) ).

cnf(c_0_42,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_30,c_0_16]),c_0_17]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk8_0 != esk7_0
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_31,c_0_16]),c_0_17]) ).

cnf(c_0_44,negated_conjecture,
    ( esk8_0 != esk7_0
    | cc(esk9_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_32,c_0_16]),c_0_17]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_11])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_11])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | esk7_0 != esk6_0
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_11])]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | esk7_0 != esk6_0
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_11])]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | esk8_0 != esk6_0
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_11])]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | esk8_0 != esk6_0
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_11])]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_52,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_53,negated_conjecture,
    ( rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_22]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0)
    | X1 = esk2_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_21]),c_0_42]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | esk8_0 != esk7_0
    | xsd_integer(esk4_0)
    | X1 = esk2_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_21]),c_0_44]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_45,c_0_16]),c_0_17]) ).

cnf(c_0_57,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_46,c_0_16]),c_0_17]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk7_0 != esk6_0
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_47,c_0_16]),c_0_17]) ).

cnf(c_0_59,negated_conjecture,
    ( esk7_0 != esk6_0
    | cc(esk9_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_48,c_0_16]),c_0_17]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk8_0 != esk6_0
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_49,c_0_16]),c_0_17]) ).

cnf(c_0_61,negated_conjecture,
    ( esk8_0 != esk6_0
    | cc(esk9_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_50,c_0_16]),c_0_17]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | cc(esk5_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | cc(esk5_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_11])]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_66,negated_conjecture,
    ( rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0)
    | esk2_1(esk9_0) = esk1_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_42]) ).

cnf(c_0_67,negated_conjecture,
    ( esk8_0 != esk7_0
    | xsd_integer(esk4_0)
    | esk2_1(esk9_0) = esk1_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_28]),c_0_44]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0)
    | X1 = esk2_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_21]),c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | esk7_0 != esk6_0
    | xsd_integer(esk4_0)
    | X1 = esk2_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_21]),c_0_59]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | esk8_0 != esk6_0
    | xsd_integer(esk4_0)
    | X1 = esk2_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_21]),c_0_61]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk5_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_11])]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0)
    | cc(esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_11])]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | rp(esk5_0,esk8_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_64,c_0_16]),c_0_53]),c_0_65]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_76,negated_conjecture,
    ( rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_66]),c_0_42]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | esk7_0 != esk8_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_78,negated_conjecture,
    ( esk8_0 != esk7_0
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_67]),c_0_44]) ).

cnf(c_0_79,negated_conjecture,
    ( rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0)
    | esk2_1(esk9_0) = esk1_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_28]),c_0_57]) ).

cnf(c_0_80,negated_conjecture,
    ( esk7_0 != esk6_0
    | xsd_integer(esk4_0)
    | esk2_1(esk9_0) = esk1_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_28]),c_0_59]) ).

cnf(c_0_81,negated_conjecture,
    ( esk8_0 != esk6_0
    | xsd_integer(esk4_0)
    | esk2_1(esk9_0) = esk1_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_28]),c_0_61]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | cc(esk5_0)
    | xsd_integer(esk4_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_71,c_0_16]),c_0_17]) ).

cnf(c_0_83,negated_conjecture,
    ( cc(esk5_0)
    | cc(esk9_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_72,c_0_16]),c_0_17]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ cc(esk9_0)
    | ~ rp(esk9_0,X1)
    | rp(esk5_0,esk8_0)
    | X1 = esk2_1(esk9_0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_21]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_11])]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_11])]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_76]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | esk8_0 != esk7_0
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_11])]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | esk8_0 != esk7_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_78]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_91,negated_conjecture,
    ( rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_79]),c_0_57]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | esk6_0 != esk7_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_93,negated_conjecture,
    ( esk7_0 != esk6_0
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_80]),c_0_59]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | esk6_0 != esk8_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_95,negated_conjecture,
    ( esk8_0 != esk6_0
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_81]),c_0_61]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | cc(esk5_0)
    | xsd_integer(esk4_0)
    | X1 = esk2_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_21]),c_0_83]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ cc(esk9_0)
    | rp(esk5_0,esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_28]),c_0_39]) ).

cnf(c_0_98,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk8_0)
    | xsd_string(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_85,c_0_16]),c_0_17]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | rp(esk5_0,esk7_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_86,c_0_16]),c_0_76]),c_0_87]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk8_0 != esk7_0
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_88,c_0_16]),c_0_78]),c_0_89]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | esk7_0 != esk8_0
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_11])]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_91]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | esk7_0 != esk6_0
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_11])]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | esk7_0 != esk6_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_93]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | esk8_0 != esk6_0
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_11])]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ xsd_string(esk4_0)
    | esk8_0 != esk6_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_95]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | cc(esk5_0)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_110,negated_conjecture,
    ( cc(esk5_0)
    | xsd_integer(esk4_0)
    | esk2_1(esk9_0) = esk1_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_28]),c_0_83]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | cc(esk5_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_112,plain,
    ( ~ cc(X1)
    | ~ rp(X1,X4)
    | ~ rp(X1,X3)
    | ~ rp(X1,X2)
    | X3 = X4
    | X2 = X4
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_113,negated_conjecture,
    rp(esk5_0,esk8_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_65]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ cc(esk9_0)
    | ~ rp(esk9_0,X1)
    | rp(esk5_0,esk7_0)
    | X1 = esk2_1(esk9_0) ),
    inference(spm,[status(thm)],[c_0_99,c_0_21]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_11])]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ cc(esk9_0)
    | ~ rp(esk9_0,X1)
    | esk8_0 != esk7_0
    | X1 = esk2_1(esk9_0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_21]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ xsd_integer(esk4_0)
    | esk8_0 != esk7_0
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_11])]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | rp(esk5_0,esk6_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_103,c_0_16]),c_0_91]),c_0_104]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk7_0 != esk6_0
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_105,c_0_16]),c_0_93]),c_0_106]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | esk6_0 != esk7_0
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk8_0 != esk6_0
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_107,c_0_16]),c_0_95]),c_0_108]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ cowlThing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | esk6_0 != esk8_0
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | cc(esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk5_0)
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_11])]) ).

cnf(c_0_125,negated_conjecture,
    ( cc(esk5_0)
    | xsd_integer(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_110]),c_0_83]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ xsd_integer(esk4_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0)
    | cc(esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_11])]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ cc(esk5_0)
    | ~ rp(esk5_0,X2)
    | ~ rp(esk5_0,X1)
    | X2 = X1
    | X2 = esk8_0
    | X1 = esk8_0 ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ cc(esk9_0)
    | rp(esk5_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_28]),c_0_39]) ).

cnf(c_0_129,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk7_0)
    | xsd_string(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_115,c_0_16]),c_0_17]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ cc(esk9_0)
    | esk8_0 != esk7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_28]),c_0_39]) ).

cnf(c_0_131,negated_conjecture,
    ( esk8_0 != esk7_0
    | cc(esk9_0)
    | xsd_string(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_117,c_0_16]),c_0_17]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ cc(esk9_0)
    | ~ rp(esk9_0,X1)
    | rp(esk5_0,esk6_0)
    | X1 = esk2_1(esk9_0) ),
    inference(spm,[status(thm)],[c_0_118,c_0_21]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_11])]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ cc(esk9_0)
    | ~ rp(esk9_0,X1)
    | esk7_0 != esk6_0
    | X1 = esk2_1(esk9_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_21]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ xsd_integer(esk4_0)
    | esk7_0 != esk6_0
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_11])]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ cc(esk9_0)
    | ~ rp(esk9_0,X1)
    | esk8_0 != esk6_0
    | X1 = esk2_1(esk9_0) ),
    inference(spm,[status(thm)],[c_0_122,c_0_21]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ xsd_integer(esk4_0)
    | esk8_0 != esk6_0
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | cc(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_11])]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | cc(esk5_0)
    | xsd_string(esk4_0)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_124,c_0_16]),c_0_125]) ).

cnf(c_0_139,negated_conjecture,
    ( cc(esk5_0)
    | cc(esk9_0)
    | xsd_string(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_126,c_0_16]),c_0_17]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ rp(esk5_0,X1)
    | ~ rp(esk5_0,X2)
    | xsd_integer(esk4_0)
    | X1 = X2
    | X2 = esk8_0
    | X1 = esk8_0 ),
    inference(spm,[status(thm)],[c_0_127,c_0_125]) ).

cnf(c_0_141,negated_conjecture,
    rp(esk5_0,esk7_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_87]) ).

cnf(c_0_142,negated_conjecture,
    esk8_0 != esk7_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_89]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ cc(esk9_0)
    | rp(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_28]),c_0_39]) ).

cnf(c_0_144,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk6_0)
    | xsd_string(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_133,c_0_16]),c_0_17]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ cc(esk9_0)
    | esk7_0 != esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_28]),c_0_39]) ).

cnf(c_0_146,negated_conjecture,
    ( esk7_0 != esk6_0
    | cc(esk9_0)
    | xsd_string(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_135,c_0_16]),c_0_17]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ cc(esk9_0)
    | esk8_0 != esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_28]),c_0_39]) ).

cnf(c_0_148,negated_conjecture,
    ( esk8_0 != esk6_0
    | cc(esk9_0)
    | xsd_string(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_137,c_0_16]),c_0_17]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ rp(esk9_0,X1)
    | cc(esk5_0)
    | xsd_string(esk4_0)
    | X1 = esk2_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_21]),c_0_139]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ rp(esk5_0,X1)
    | xsd_integer(esk4_0)
    | X1 = esk8_0
    | X1 = esk7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).

cnf(c_0_151,negated_conjecture,
    rp(esk5_0,esk6_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_104]) ).

cnf(c_0_152,negated_conjecture,
    esk7_0 != esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_106]) ).

cnf(c_0_153,negated_conjecture,
    esk8_0 != esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_108]) ).

cnf(c_0_154,negated_conjecture,
    ( cc(esk5_0)
    | xsd_string(esk4_0)
    | esk2_1(esk9_0) = esk1_1(esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_28]),c_0_139]) ).

cnf(c_0_155,negated_conjecture,
    xsd_integer(esk4_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_153]) ).

cnf(c_0_156,negated_conjecture,
    ( cc(esk5_0)
    | xsd_string(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_154]),c_0_139]) ).

cnf(c_0_157,negated_conjecture,
    ~ xsd_string(esk4_0),
    inference(spm,[status(thm)],[c_0_52,c_0_155]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ cc(esk5_0)
    | ~ rp(esk5_0,X2)
    | ~ rp(esk5_0,X1)
    | X2 = X1
    | X2 = esk7_0
    | X1 = esk7_0 ),
    inference(spm,[status(thm)],[c_0_112,c_0_141]) ).

cnf(c_0_159,negated_conjecture,
    cc(esk5_0),
    inference(sr,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ rp(esk5_0,X1)
    | ~ rp(esk5_0,X2)
    | X1 = X2
    | X2 = esk7_0
    | X1 = esk7_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ rp(esk5_0,X1)
    | X1 = esk7_0
    | X1 = esk8_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_113]),c_0_142]) ).

cnf(c_0_162,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_151]),c_0_153]),c_0_152]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS144+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.36  % Computer : n007.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8046.5625MB
% 0.13/0.36  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Sun Sep 20 22:52:37 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41  Running first-order theorem proving
% 0.13/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43  % Version: 3.5.1
% 0.13/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.13/0.43  % Starting sh5l with 300s (1) cores
% 0.13/0.43  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3763930 completed with status 0
% 0.13/0.43  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.43  % No SInE strategy applied
% 0.13/0.43  % Search class: FGHSF-FFMF11-SFFFFFNN
% 0.13/0.43  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.43  % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.43  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 0.13/0.43  % Starting new_bool_3 with 136s (1) cores
% 0.13/0.43  % Starting new_bool_1 with 136s (1) cores
% 0.13/0.43  % SubtermCWHack with pid 3763937 completed with status 0
% 0.13/0.43  % Result found by SubtermCWHack
% 0.13/0.43  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.43  % No SInE strategy applied
% 0.13/0.43  % Search class: FGHSF-FFMF11-SFFFFFNN
% 0.13/0.43  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.43  % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.43  % Preprocessing time       : 0.001 s
% 0.13/0.43  
% 0.13/0.43  % Proof found!
% 0.13/0.43  % SZS status Theorem
% 0.13/0.43  % SZS output start CNFRefutation
% See solution above
% 0.13/0.44  % Parsed axioms                        : 11
% 0.13/0.44  % Removed by relevancy pruning/SinE    : 0
% 0.13/0.44  % Initial clauses                      : 43
% 0.13/0.44  % Removed in clause preprocessing      : 8
% 0.13/0.44  % Initial clauses in saturation        : 35
% 0.13/0.44  % Processed clauses                    : 94
% 0.13/0.44  % ...of these trivial                  : 0
% 0.13/0.44  % ...subsumed                          : 0
% 0.13/0.44  % ...remaining for further processing  : 94
% 0.13/0.44  % Other redundant clauses eliminated   : 0
% 0.13/0.44  % Clauses deleted for lack of memory   : 0
% 0.13/0.44  % Backward-subsumed                    : 53
% 0.13/0.44  % Backward-rewritten                   : 21
% 0.13/0.44  % Generated clauses                    : 126
% 0.13/0.44  % ...of the previous two non-redundant : 127
% 0.13/0.44  % ...aggressively subsumed             : 0
% 0.13/0.44  % Contextual simplify-reflections      : 70
% 0.13/0.44  % Paramodulations                      : 125
% 0.13/0.44  % Factorizations                       : 0
% 0.13/0.44  % NegExts                              : 0
% 0.13/0.44  % Equation resolutions                 : 0
% 0.13/0.44  % Disequality decompositions           : 0
% 0.13/0.44  % Total rewrite steps                  : 25
% 0.13/0.44  % ...of those cached                   : 20
% 0.13/0.44  % Propositional unsat checks           : 0
% 0.13/0.44  %    Propositional check models        : 0
% 0.13/0.44  %    Propositional check unsatisfiable : 0
% 0.13/0.44  %    Propositional clauses             : 0
% 0.13/0.44  %    Propositional clauses after purity: 0
% 0.13/0.44  %    Propositional unsat core size     : 0
% 0.13/0.44  %    Propositional preprocessing time  : 0.000
% 0.13/0.44  %    Propositional encoding time       : 0.000
% 0.13/0.44  %    Propositional solver time         : 0.000
% 0.13/0.44  %    Success case prop preproc time    : 0.000
% 0.13/0.44  %    Success case prop encoding time   : 0.000
% 0.13/0.44  %    Success case prop solver time     : 0.000
% 0.13/0.44  % Current number of processed clauses  : 19
% 0.13/0.44  %    Positive orientable unit clauses  : 5
% 0.13/0.44  %    Positive unorientable unit clauses: 0
% 0.13/0.44  %    Negative unit clauses             : 5
% 0.13/0.44  %    Non-unit-clauses                  : 9
% 0.13/0.44  % Current number of unprocessed clauses: 17
% 0.13/0.44  % ...number of literals in the above   : 89
% 0.13/0.44  % Current number of archived formulas  : 0
% 0.13/0.44  % Current number of archived clauses   : 76
% 0.13/0.44  % Clause-clause subsumption calls (NU) : 1289
% 0.13/0.44  % Rec. Clause-clause subsumption calls : 495
% 0.13/0.44  % Non-unit clause-clause subsumptions  : 108
% 0.13/0.44  % Unit Clause-clause subsumption calls : 54
% 0.13/0.44  % Rewrite failures with RHS unbound    : 0
% 0.13/0.44  % BW rewrite match attempts            : 5
% 0.13/0.44  % BW rewrite match successes           : 5
% 0.13/0.44  % Condensation attempts                : 0
% 0.13/0.44  % Condensation successes               : 0
% 0.13/0.44  % Termbank termtop insertions          : 4547
% 0.13/0.44  % Search garbage collected termcells   : 526
% 0.13/0.44  
% 0.13/0.44  % -------------------------------------------------
% 0.13/0.44  % User time                : 0.006 s
% 0.13/0.44  % System time              : 0.006 s
% 0.13/0.44  % Total time               : 0.013 s
% 0.13/0.44  % Maximum resident set size: 3640 pages
% 0.13/0.44  
% 0.13/0.44  % -------------------------------------------------
% 0.13/0.44  % User time                : 0.024 s
% 0.13/0.44  % System time              : 0.016 s
% 0.13/0.44  % Total time               : 0.040 s
% 0.13/0.44  % Maximum resident set size: 4864 pages
% 0.13/0.44  % E exiting
%------------------------------------------------------------------------------