↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS144+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n029.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 : Tue May  5 04:36:43 PM UTC 2026

% Result   : Theorem 1.45s 1.77s
% Output   : CNFRefutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  201 (   9 unt;   0 def)
%            Number of atoms       : 1118 ( 277 equ)
%            Maximal formula atoms :  196 (   5 avg)
%            Number of connectives : 1299 ( 382   ~; 850   |;  55   &)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   5 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   :  167 (   2 sgn  30   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X4] :
        ( cowlThing(X4)
        & ~ cowlNothing(X4) )
    & ! [X4] :
        ( xsd_string(X4)
      <=> ~ xsd_integer(X4) )
    & ! [X4] :
        ( cc(X4)
       => ! [X5,X6,X7] :
            ( ( rp(X4,X5)
              & rp(X4,X6)
              & rp(X4,X7) )
           => ( X5 = X6
              | X5 = X7
              | X6 = X7 ) ) )
    & ! [X4] :
        ( cc(X4)
       => ? [X5,X6] :
            ( rp(X4,X5)
            & rp(X4,X6)
            & X5 != X6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_2,axiom,
    ! [X4] :
      ( cc(X4)
     => ( ? [X5,X6] :
            ( rp(X4,X5)
            & rp(X4,X6)
            & X5 != X6 )
        & ! [X5,X6,X7] :
            ( ( rp(X4,X5)
              & rp(X4,X6)
              & rp(X4,X7) )
           => ( X5 = X6
              | X5 = X7
              | X6 = X7 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

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

fof(c_0_5,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_6,negated_conjecture,
    ! [X72,X73] :
      ( ( cc(esk9_0)
        | cc(esk5_0)
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | cc(esk5_0)
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | rp(esk5_0,esk6_0)
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | rp(esk5_0,esk6_0)
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | rp(esk5_0,esk7_0)
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | rp(esk5_0,esk7_0)
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | rp(esk5_0,esk8_0)
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | rp(esk5_0,esk8_0)
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | esk6_0 != esk7_0
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | esk6_0 != esk7_0
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | esk6_0 != esk8_0
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | esk6_0 != esk8_0
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | esk7_0 != esk8_0
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | esk7_0 != esk8_0
        | ~ xsd_string(esk4_0)
        | xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | cc(esk5_0)
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | cc(esk5_0)
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | rp(esk5_0,esk6_0)
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | rp(esk5_0,esk6_0)
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | rp(esk5_0,esk7_0)
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | rp(esk5_0,esk7_0)
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | rp(esk5_0,esk8_0)
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | rp(esk5_0,esk8_0)
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | esk6_0 != esk7_0
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | esk6_0 != esk7_0
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | esk6_0 != esk8_0
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | esk6_0 != esk8_0
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( cc(esk9_0)
        | esk7_0 != esk8_0
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) )
      & ( ~ rp(esk9_0,X72)
        | ~ rp(esk9_0,X73)
        | X72 = X73
        | esk7_0 != esk8_0
        | xsd_string(esk4_0)
        | ~ xsd_integer(esk4_0)
        | ~ cowlThing(esk3_0)
        | cowlNothing(esk3_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).

fof(c_0_7,plain,
    ! [X57] :
      ( cowlThing(X57)
      & ~ cowlNothing(X57) ),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_9,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk6_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X58] :
      ( ( ~ xsd_string(X58)
        | ~ xsd_integer(X58) )
      & ( xsd_integer(X58)
        | xsd_string(X58) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

cnf(c_0_12,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( X1 = X2
    | rp(esk5_0,esk6_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_14,plain,
    ! [X59,X62,X63,X64] :
      ( ( rp(X59,esk1_1(X59))
        | ~ cc(X59) )
      & ( rp(X59,esk2_1(X59))
        | ~ cc(X59) )
      & ( esk1_1(X59) != esk2_1(X59)
        | ~ cc(X59) )
      & ( ~ rp(X59,X62)
        | ~ rp(X59,X63)
        | ~ rp(X59,X64)
        | X62 = X63
        | X62 = X64
        | X63 = X64
        | ~ cc(X59) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | ~ xsd_integer(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

cnf(c_0_16,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_17,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | ~ xsd_string(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10])]) ).

cnf(c_0_19,negated_conjecture,
    ( X1 = X2
    | rp(esk5_0,esk6_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_10])]) ).

cnf(c_0_21,plain,
    ( rp(X1,esk1_1(X1))
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_18,c_0_16]),c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk8_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_26,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_10])]) ).

cnf(c_0_27,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_16]),c_0_17]) ).

cnf(c_0_28,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_23]) ).

cnf(c_0_31,plain,
    ( rp(X1,esk2_1(X1))
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_32,negated_conjecture,
    ( X1 = X2
    | rp(esk5_0,esk8_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_33,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | ~ xsd_integer(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_10])]) ).

cnf(c_0_34,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | ~ xsd_string(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_10])]) ).

cnf(c_0_35,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk7_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_36,negated_conjecture,
    ( cc(esk9_0)
    | rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_37,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_16]),c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    ( rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_39,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_22]) ).

cnf(c_0_40,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_23]) ).

cnf(c_0_41,negated_conjecture,
    ( X1 = X2
    | rp(esk5_0,esk8_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_42,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_10])]) ).

cnf(c_0_43,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_16]),c_0_17]) ).

cnf(c_0_44,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_16]),c_0_17]) ).

cnf(c_0_45,negated_conjecture,
    ( X1 = X2
    | rp(esk5_0,esk7_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_46,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | ~ xsd_integer(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_10])]) ).

cnf(c_0_47,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | ~ xsd_string(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_10])]) ).

cnf(c_0_48,negated_conjecture,
    ( X1 = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk6_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_49,negated_conjecture,
    ( rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_39]),c_0_40]) ).

cnf(c_0_50,negated_conjecture,
    ( X1 = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_38]) ).

cnf(c_0_51,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_10])]) ).

cnf(c_0_52,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_42,c_0_16]),c_0_17]) ).

cnf(c_0_53,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_43]) ).

cnf(c_0_54,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_44]) ).

cnf(c_0_55,negated_conjecture,
    ( X1 = X2
    | rp(esk5_0,esk7_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_56,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_10])]) ).

cnf(c_0_57,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_46,c_0_16]),c_0_17]) ).

cnf(c_0_58,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_47,c_0_16]),c_0_17]) ).

cnf(c_0_59,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_60,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_49]) ).

cnf(c_0_61,negated_conjecture,
    ( cc(esk9_0)
    | cc(esk5_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_62,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_51,c_0_16]),c_0_52]) ).

cnf(c_0_63,negated_conjecture,
    ( rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_53]),c_0_54]) ).

cnf(c_0_64,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_43]) ).

cnf(c_0_65,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_44]) ).

cnf(c_0_66,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_10])]) ).

cnf(c_0_67,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_56,c_0_16]),c_0_17]) ).

cnf(c_0_68,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_58]) ).

cnf(c_0_70,negated_conjecture,
    ( cc(esk9_0)
    | cc(esk5_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_71,negated_conjecture,
    ( cc(esk9_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | esk6_0 != esk8_0
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_72,plain,
    ( X2 = X3
    | X2 = X4
    | X3 = X4
    | ~ rp(X1,X2)
    | ~ rp(X1,X3)
    | ~ rp(X1,X4)
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_73,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | rp(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_59]),c_0_60]) ).

cnf(c_0_74,negated_conjecture,
    ( cc(esk5_0)
    | cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | ~ xsd_integer(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_10])]) ).

cnf(c_0_75,negated_conjecture,
    ( X1 = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk8_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_76,negated_conjecture,
    ( rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_64]),c_0_65]) ).

cnf(c_0_77,negated_conjecture,
    ( X1 = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_63]) ).

cnf(c_0_78,negated_conjecture,
    ( cc(esk9_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | esk6_0 != esk8_0
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_79,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_66,c_0_16]),c_0_67]) ).

cnf(c_0_80,negated_conjecture,
    ( rp(esk9_0,esk1_1(esk9_0))
    | rp(esk5_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_68]),c_0_69]) ).

cnf(c_0_81,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_57]) ).

cnf(c_0_82,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_58]) ).

cnf(c_0_83,negated_conjecture,
    ( cc(esk9_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | esk6_0 != esk7_0
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_84,negated_conjecture,
    ( cc(esk5_0)
    | cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | ~ xsd_string(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_10])]) ).

cnf(c_0_85,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | esk8_0 != esk6_0
    | ~ xsd_string(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_10])]) ).

cnf(c_0_86,negated_conjecture,
    ( cc(esk9_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | esk6_0 != esk7_0
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_87,negated_conjecture,
    ( cc(esk9_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | esk7_0 != esk8_0
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_88,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk6_0
    | X2 = esk6_0
    | X1 = X2
    | ~ rp(esk5_0,X2)
    | ~ rp(esk5_0,X1)
    | ~ cc(esk5_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_89,negated_conjecture,
    ( xsd_string(esk4_0)
    | cc(esk9_0)
    | cc(esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_74,c_0_16]),c_0_17]) ).

cnf(c_0_90,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_91,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_76]) ).

cnf(c_0_92,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | esk8_0 != esk6_0
    | ~ xsd_integer(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_10])]) ).

cnf(c_0_93,negated_conjecture,
    ( X1 = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk7_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_94,negated_conjecture,
    ( rp(esk9_0,esk2_1(esk9_0))
    | rp(esk5_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_81]),c_0_82]) ).

cnf(c_0_95,negated_conjecture,
    ( X1 = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_80]) ).

cnf(c_0_96,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | esk7_0 != esk6_0
    | ~ xsd_integer(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_10])]) ).

cnf(c_0_97,negated_conjecture,
    ( cc(esk9_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | esk7_0 != esk8_0
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_98,negated_conjecture,
    ( xsd_integer(esk4_0)
    | cc(esk9_0)
    | cc(esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_84,c_0_16]),c_0_17]) ).

cnf(c_0_99,negated_conjecture,
    ( xsd_integer(esk4_0)
    | cc(esk9_0)
    | esk8_0 != esk6_0
    | ~ xsd_string(esk4_0) ),
    inference(sr,[status(thm)],[c_0_85,c_0_16]) ).

cnf(c_0_100,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_10])]) ).

cnf(c_0_101,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | esk8_0 != esk7_0
    | ~ xsd_string(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_10])]) ).

cnf(c_0_102,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk6_0
    | X2 = esk6_0
    | X2 = X1
    | xsd_string(esk4_0)
    | cc(esk9_0)
    | ~ rp(esk5_0,X1)
    | ~ rp(esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_103,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | rp(esk5_0,esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_90]),c_0_91]) ).

cnf(c_0_104,negated_conjecture,
    ( xsd_string(esk4_0)
    | cc(esk9_0)
    | esk8_0 != esk6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_92,c_0_16]),c_0_17]) ).

cnf(c_0_105,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_106,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_94]) ).

cnf(c_0_107,negated_conjecture,
    ( xsd_string(esk4_0)
    | cc(esk9_0)
    | esk7_0 != esk6_0
    | ~ xsd_integer(esk4_0) ),
    inference(sr,[status(thm)],[c_0_96,c_0_16]) ).

cnf(c_0_108,negated_conjecture,
    ( cc(esk9_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | esk8_0 != esk7_0
    | ~ xsd_integer(esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_10])]) ).

cnf(c_0_109,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk6_0
    | X2 = esk6_0
    | X2 = X1
    | xsd_integer(esk4_0)
    | cc(esk9_0)
    | ~ rp(esk5_0,X1)
    | ~ rp(esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_88,c_0_98]) ).

cnf(c_0_110,negated_conjecture,
    ( xsd_integer(esk4_0)
    | cc(esk9_0)
    | esk8_0 != esk6_0 ),
    inference(csr,[status(thm)],[c_0_99,c_0_17]) ).

cnf(c_0_111,negated_conjecture,
    ( xsd_integer(esk4_0)
    | cc(esk9_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk4_0) ),
    inference(sr,[status(thm)],[c_0_100,c_0_16]) ).

cnf(c_0_112,negated_conjecture,
    ( xsd_integer(esk4_0)
    | cc(esk9_0)
    | esk8_0 != esk7_0
    | ~ xsd_string(esk4_0) ),
    inference(sr,[status(thm)],[c_0_101,c_0_16]) ).

cnf(c_0_113,negated_conjecture,
    ( X1 = X2
    | cc(esk5_0)
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_114,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk8_0
    | X1 = esk6_0
    | xsd_string(esk4_0)
    | cc(esk9_0)
    | ~ rp(esk5_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).

cnf(c_0_115,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | rp(esk5_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_105]),c_0_106]) ).

cnf(c_0_116,negated_conjecture,
    ( xsd_string(esk4_0)
    | cc(esk9_0)
    | esk7_0 != esk6_0 ),
    inference(csr,[status(thm)],[c_0_107,c_0_17]) ).

cnf(c_0_117,negated_conjecture,
    ( xsd_string(esk4_0)
    | cc(esk9_0)
    | esk8_0 != esk7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_108,c_0_16]),c_0_17]) ).

cnf(c_0_118,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk8_0
    | X1 = esk6_0
    | xsd_integer(esk4_0)
    | cc(esk9_0)
    | ~ rp(esk5_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_103]),c_0_110]) ).

cnf(c_0_119,negated_conjecture,
    ( xsd_integer(esk4_0)
    | cc(esk9_0)
    | esk7_0 != esk6_0 ),
    inference(csr,[status(thm)],[c_0_111,c_0_17]) ).

cnf(c_0_120,negated_conjecture,
    ( xsd_integer(esk4_0)
    | cc(esk9_0)
    | esk8_0 != esk7_0 ),
    inference(csr,[status(thm)],[c_0_112,c_0_17]) ).

cnf(c_0_121,negated_conjecture,
    ( X1 = X2
    | cc(esk5_0)
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_122,negated_conjecture,
    ( X1 = X2
    | cc(esk5_0)
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_10])]) ).

cnf(c_0_123,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_117]) ).

cnf(c_0_124,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_115]),c_0_119]),c_0_120]) ).

cnf(c_0_125,negated_conjecture,
    ( X1 = X2
    | cc(esk5_0)
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_10])]) ).

cnf(c_0_126,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | cc(esk5_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_122,c_0_16]),c_0_17]) ).

cnf(c_0_127,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_123]) ).

cnf(c_0_128,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_124]) ).

cnf(c_0_129,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | cc(esk5_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_125,c_0_16]),c_0_126]) ).

cnf(c_0_130,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | rp(esk9_0,esk1_1(esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_127]),c_0_128]) ).

cnf(c_0_131,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_123]) ).

cnf(c_0_132,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_124]) ).

cnf(c_0_133,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | cc(esk5_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_134,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | rp(esk9_0,esk2_1(esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_131]),c_0_132]) ).

cnf(c_0_135,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | cc(esk5_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_130]) ).

cnf(c_0_136,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_string(esk4_0)
    | cc(esk5_0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_137,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_integer(esk4_0)
    | cc(esk5_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_134]) ).

cnf(c_0_138,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk6_0
    | X2 = esk6_0
    | X2 = X1
    | xsd_string(esk4_0)
    | ~ rp(esk5_0,X1)
    | ~ rp(esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_88,c_0_136]) ).

cnf(c_0_139,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | X1 = esk6_0
    | X2 = esk6_0
    | X2 = X1
    | xsd_integer(esk4_0)
    | ~ rp(esk5_0,X1)
    | ~ rp(esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_88,c_0_137]) ).

cnf(c_0_140,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | esk8_0 = esk6_0
    | X1 = esk8_0
    | X1 = esk6_0
    | xsd_string(esk4_0)
    | ~ rp(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_103]) ).

cnf(c_0_141,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | esk8_0 = esk6_0
    | X1 = esk8_0
    | X1 = esk6_0
    | xsd_integer(esk4_0)
    | ~ rp(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_103]) ).

cnf(c_0_142,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | xsd_string(esk4_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_115]) ).

cnf(c_0_143,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | xsd_integer(esk4_0) ),
    inference(spm,[status(thm)],[c_0_141,c_0_115]) ).

cnf(c_0_144,plain,
    ( esk1_1(X1) != esk2_1(X1)
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_145,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_142]),c_0_143]) ).

cnf(c_0_146,negated_conjecture,
    ( esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | ~ cc(esk9_0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_147,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | xsd_string(esk4_0)
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_22]) ).

cnf(c_0_148,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_23]) ).

cnf(c_0_149,negated_conjecture,
    ( esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | rp(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_147]),c_0_148]) ).

cnf(c_0_150,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | X1 = esk6_0
    | X2 = esk6_0
    | X1 = X2
    | ~ rp(esk5_0,X2)
    | ~ rp(esk5_0,X1)
    | ~ cc(esk5_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_149]) ).

cnf(c_0_151,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | xsd_string(esk4_0)
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_43]) ).

cnf(c_0_152,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_44]) ).

cnf(c_0_153,negated_conjecture,
    ( esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | X1 = esk6_0
    | X2 = esk6_0
    | X2 = X1
    | xsd_string(esk4_0)
    | ~ rp(esk5_0,X1)
    | ~ rp(esk5_0,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_89]),c_0_146]) ).

cnf(c_0_154,negated_conjecture,
    ( esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | rp(esk5_0,esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_151]),c_0_152]) ).

cnf(c_0_155,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | xsd_string(esk4_0)
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_57]) ).

cnf(c_0_156,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | xsd_integer(esk4_0)
    | rp(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_58]) ).

cnf(c_0_157,negated_conjecture,
    ( esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | X1 = esk6_0
    | X2 = esk6_0
    | X2 = X1
    | xsd_integer(esk4_0)
    | ~ rp(esk5_0,X1)
    | ~ rp(esk5_0,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_98]),c_0_146]) ).

cnf(c_0_158,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | X1 = esk8_0
    | X1 = esk6_0
    | xsd_string(esk4_0)
    | ~ rp(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_159,negated_conjecture,
    ( esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | rp(esk5_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_155]),c_0_156]) ).

cnf(c_0_160,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0
    | X1 = esk8_0
    | X1 = esk6_0
    | xsd_integer(esk4_0)
    | ~ rp(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_157,c_0_154]) ).

cnf(c_0_161,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk7_0 != esk8_0
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_162,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk6_0 != esk7_0
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_163,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk6_0 != esk8_0
    | ~ xsd_string(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_164,negated_conjecture,
    ( esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | xsd_string(esk4_0) ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_165,negated_conjecture,
    ( esk7_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk6_0
    | xsd_integer(esk4_0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_159]) ).

cnf(c_0_166,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk7_0 != esk8_0
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_167,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | esk8_0 != esk7_0
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_10])]) ).

cnf(c_0_168,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk6_0 != esk7_0
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_169,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_10])]) ).

cnf(c_0_170,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | cowlNothing(esk3_0)
    | ~ rp(esk9_0,X1)
    | ~ rp(esk9_0,X2)
    | esk6_0 != esk8_0
    | ~ xsd_integer(esk4_0)
    | ~ cowlThing(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_171,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_integer(esk4_0)
    | esk8_0 != esk6_0
    | ~ xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_10])]) ).

cnf(c_0_172,negated_conjecture,
    ( esk8_0 = esk6_0
    | esk8_0 = esk7_0
    | esk7_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_164]),c_0_165]) ).

cnf(c_0_173,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | esk8_0 != esk7_0
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_10])]) ).

cnf(c_0_174,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | esk8_0 != esk7_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_167,c_0_16]),c_0_17]) ).

cnf(c_0_175,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | esk7_0 != esk6_0
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_10])]) ).

cnf(c_0_176,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | esk7_0 != esk6_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_169,c_0_16]),c_0_17]) ).

cnf(c_0_177,negated_conjecture,
    ( X1 = X2
    | cowlNothing(esk3_0)
    | xsd_string(esk4_0)
    | esk8_0 != esk6_0
    | ~ xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_10])]) ).

cnf(c_0_178,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | esk8_0 != esk6_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_171,c_0_16]),c_0_17]) ).

cnf(c_0_179,negated_conjecture,
    ( xsd_string(esk4_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_172]),c_0_116]),c_0_104]) ).

cnf(c_0_180,negated_conjecture,
    ( xsd_integer(esk4_0)
    | cc(esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_172]),c_0_119]),c_0_110]) ).

cnf(c_0_181,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | esk8_0 != esk7_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_173,c_0_16]),c_0_174]) ).

cnf(c_0_182,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | esk7_0 != esk6_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_175,c_0_16]),c_0_176]) ).

cnf(c_0_183,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | esk8_0 != esk6_0
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_177,c_0_16]),c_0_178]) ).

cnf(c_0_184,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_179]) ).

cnf(c_0_185,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk9_0,esk2_1(esk9_0)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_180]) ).

cnf(c_0_186,negated_conjecture,
    ( X1 = X2
    | xsd_string(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_172]),c_0_182]),c_0_183]) ).

cnf(c_0_187,negated_conjecture,
    rp(esk9_0,esk2_1(esk9_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_184]),c_0_185]) ).

cnf(c_0_188,negated_conjecture,
    ( xsd_string(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_179]) ).

cnf(c_0_189,negated_conjecture,
    ( xsd_integer(esk4_0)
    | rp(esk9_0,esk1_1(esk9_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_180]) ).

cnf(c_0_190,negated_conjecture,
    ( X1 = X2
    | xsd_integer(esk4_0)
    | ~ rp(esk9_0,X2)
    | ~ rp(esk9_0,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_172]),c_0_176]),c_0_178]) ).

cnf(c_0_191,negated_conjecture,
    ( X1 = esk2_1(esk9_0)
    | xsd_string(esk4_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_192,negated_conjecture,
    rp(esk9_0,esk1_1(esk9_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_188]),c_0_189]) ).

cnf(c_0_193,negated_conjecture,
    ( X1 = esk2_1(esk9_0)
    | xsd_integer(esk4_0)
    | ~ rp(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_190,c_0_187]) ).

cnf(c_0_194,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_string(esk4_0) ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_195,negated_conjecture,
    ( esk2_1(esk9_0) = esk1_1(esk9_0)
    | xsd_integer(esk4_0) ),
    inference(spm,[status(thm)],[c_0_193,c_0_192]) ).

cnf(c_0_196,negated_conjecture,
    esk2_1(esk9_0) = esk1_1(esk9_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_194]),c_0_195]) ).

cnf(c_0_197,negated_conjecture,
    ~ cc(esk9_0),
    inference(spm,[status(thm)],[c_0_144,c_0_196]) ).

cnf(c_0_198,negated_conjecture,
    xsd_string(esk4_0),
    inference(sr,[status(thm)],[c_0_179,c_0_197]) ).

cnf(c_0_199,negated_conjecture,
    xsd_integer(esk4_0),
    inference(sr,[status(thm)],[c_0_180,c_0_197]) ).

cnf(c_0_200,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_198]),c_0_199])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS144+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n029.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 20:38:29 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.45/1.77  % Version  : CSE_E---1.7
% 1.45/1.77  % Problem  : theBenchmark.p
% 1.45/1.77  % SZS status Theorem for theBenchmark.p
% 1.45/1.77  % SZS output start CNFRefutation
% See solution above
% 1.45/1.77  % Total time : 1.372s
%------------------------------------------------------------------------------