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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS162+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 : n025.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 04:36:45 PM UTC 2026

% Result   : Theorem 1.30s 1.73s
% Output   : CNFRefutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  153 (  12 unt;   0 def)
%            Number of atoms       :  786 ( 283 equ)
%            Maximal formula atoms :  128 (   5 avg)
%            Number of connectives :  905 ( 272   ~; 549   |;  74   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   44 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  118 (   4 sgn  35   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X4] :
        ( cowlThing(X4)
        & ~ cowlNothing(X4) )
    & ! [X4] :
        ( xsd_string(X4)
      <=> ~ xsd_integer(X4) )
    & ! [X4] :
        ( ( ? [X6,X7] :
              ( rp(X4,X6)
              & rp(X4,X7)
              & X6 != X7 )
          & ? [X6,X7,X8] :
              ( rq(X4,X6)
              & rq(X4,X7)
              & rq(X4,X8)
              & X6 != X7
              & X6 != X8
              & X7 != X8 ) )
       => ? [X6,X7,X8,X9,X10] :
            ( rr(X4,X6)
            & rr(X4,X7)
            & rr(X4,X8)
            & rr(X4,X9)
            & rr(X4,X10)
            & X6 != X7
            & X6 != X8
            & X6 != X9
            & X6 != X10
            & X7 != X8
            & X7 != X9
            & X7 != X10
            & X8 != X9
            & X8 != X10
            & X9 != X10 ) ) ),
    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_6,axiom,
    ! [X4,X5] :
      ( rp(X4,X5)
     => rr(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_5,axiom,
    ! [X4,X5] :
      ( rq(X4,X5)
     => rr(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_3,axiom,
    ! [X4,X5] :
      ( rq(X4,X5)
     => cB(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_2,axiom,
    ! [X4,X5] :
      ( rp(X4,X5)
     => cA(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_4,axiom,
    ! [X4] :
      ~ ( cB(X4)
        & cA(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(c_0_8,negated_conjecture,
    ~ ( ! [X4] :
          ( cowlThing(X4)
          & ~ cowlNothing(X4) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4] :
          ( ( ? [X6,X7] :
                ( rp(X4,X6)
                & rp(X4,X7)
                & X6 != X7 )
            & ? [X6,X7,X8] :
                ( rq(X4,X6)
                & rq(X4,X7)
                & rq(X4,X8)
                & X6 != X7
                & X6 != X8
                & X7 != X8 ) )
         => ? [X6,X7,X8,X9,X10] :
              ( rr(X4,X6)
              & rr(X4,X7)
              & rr(X4,X8)
              & rr(X4,X9)
              & rr(X4,X10)
              & X6 != X7
              & X6 != X8
              & X6 != X9
              & X6 != X10
              & X7 != X8
              & X7 != X9
              & X7 != X10
              & X8 != X9
              & X8 != X10
              & X9 != X10 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).

fof(c_0_9,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_10,negated_conjecture,
    ! [X114,X115,X116,X117,X118] :
      ( ( rp(esk3_0,esk4_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rp(esk3_0,esk5_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( esk4_0 != esk5_0
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rq(esk3_0,esk6_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rq(esk3_0,esk7_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rq(esk3_0,esk8_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( esk6_0 != esk7_0
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( esk6_0 != esk8_0
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( esk7_0 != esk8_0
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( ~ rr(esk3_0,X114)
        | ~ rr(esk3_0,X115)
        | ~ rr(esk3_0,X116)
        | ~ rr(esk3_0,X117)
        | ~ rr(esk3_0,X118)
        | X114 = X115
        | X114 = X116
        | X114 = X117
        | X114 = X118
        | X115 = X116
        | X115 = X117
        | X115 = X118
        | X116 = X117
        | X116 = X118
        | X117 = X118
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rp(esk3_0,esk4_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rp(esk3_0,esk5_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( esk4_0 != esk5_0
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rq(esk3_0,esk6_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rq(esk3_0,esk7_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( rq(esk3_0,esk8_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( esk6_0 != esk7_0
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( esk6_0 != esk8_0
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( esk7_0 != esk8_0
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0) )
      & ( ~ rr(esk3_0,X114)
        | ~ rr(esk3_0,X115)
        | ~ rr(esk3_0,X116)
        | ~ rr(esk3_0,X117)
        | ~ rr(esk3_0,X118)
        | X114 = X115
        | X114 = X116
        | X114 = X117
        | X114 = X118
        | X115 = X116
        | X115 = X117
        | X115 = X118
        | X116 = X117
        | X116 = X118
        | X117 = X118
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_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_8])])])])]) ).

fof(c_0_11,plain,
    ! [X95] :
      ( cowlThing(X95)
      & ~ cowlNothing(X95) ),
    inference(variable_rename,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_13,negated_conjecture,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | X2 = X3
    | X2 = X4
    | X2 = X5
    | X3 = X4
    | X3 = X5
    | X4 = X5
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X5)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,plain,
    ! [X96] :
      ( ( ~ xsd_string(X96)
        | ~ xsd_integer(X96) )
      & ( xsd_integer(X96)
        | xsd_string(X96) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

cnf(c_0_16,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | esk4_0 != esk5_0
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | X2 = X3
    | X2 = X4
    | X2 = X5
    | X3 = X4
    | X3 = X5
    | X4 = X5
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X5)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    ( X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_21,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_23,plain,
    ! [X104,X105] :
      ( ~ rp(X104,X105)
      | rr(X104,X105) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).

cnf(c_0_24,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14])]) ).

cnf(c_0_25,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_26,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk4_0 != esk5_0
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_27,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk5_0 != esk4_0
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_14])]) ).

cnf(c_0_28,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_14])]) ).

cnf(c_0_29,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_30,negated_conjecture,
    ( X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_14])]) ).

cnf(c_0_31,negated_conjecture,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | X2 = X3
    | X2 = X4
    | X2 = X5
    | X3 = X4
    | X3 = X5
    | X4 = X5
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

cnf(c_0_32,plain,
    ( rr(X1,X2)
    | ~ rp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_24,c_0_21]),c_0_22]) ).

cnf(c_0_34,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_14])]) ).

cnf(c_0_35,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk5_0 != esk4_0
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_14])]) ).

cnf(c_0_36,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_37,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk5_0 != esk4_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_27,c_0_21]),c_0_22]) ).

cnf(c_0_38,negated_conjecture,
    ( rq(esk3_0,esk8_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_39,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | esk7_0 != esk8_0
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_40,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_28,c_0_21]),c_0_22]) ).

cnf(c_0_41,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_14])]) ).

cnf(c_0_42,negated_conjecture,
    ( rq(esk3_0,esk8_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_43,negated_conjecture,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | X2 = X3
    | X2 = X4
    | X2 = X5
    | X3 = X4
    | X3 = X5
    | X4 = X5
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_30,c_0_21]),c_0_31]) ).

cnf(c_0_44,negated_conjecture,
    ( xsd_string(esk2_0)
    | rr(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_45,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_21]),c_0_22]) ).

cnf(c_0_46,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk5_0 != esk4_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[c_0_35,c_0_21]) ).

cnf(c_0_47,negated_conjecture,
    ( esk5_0 != esk4_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_48,plain,
    ! [X102,X103] :
      ( ~ rq(X102,X103)
      | rr(X102,X103) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).

cnf(c_0_49,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk8_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_14])]) ).

cnf(c_0_50,negated_conjecture,
    ( rq(esk3_0,esk7_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_51,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk7_0 != esk8_0
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_52,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk8_0 != esk7_0
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_14])]) ).

cnf(c_0_53,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | esk6_0 != esk7_0
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_54,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | esk6_0 != esk8_0
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_55,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rr(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_40]) ).

cnf(c_0_56,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_41,c_0_21]),c_0_22]) ).

cnf(c_0_57,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk8_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_14])]) ).

cnf(c_0_58,negated_conjecture,
    ( rq(esk3_0,esk7_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_59,negated_conjecture,
    ( X1 = esk4_0
    | X2 = esk4_0
    | X3 = esk4_0
    | X4 = esk4_0
    | X1 = X2
    | X1 = X3
    | X1 = X4
    | X2 = X3
    | X2 = X4
    | X3 = X4
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_60,negated_conjecture,
    ( xsd_string(esk2_0)
    | rr(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_45]) ).

cnf(c_0_61,negated_conjecture,
    esk5_0 != esk4_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_46,c_0_37]),c_0_47]) ).

cnf(c_0_62,plain,
    ( rr(X1,X2)
    | ~ rq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_63,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk8_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_49,c_0_21]),c_0_22]) ).

cnf(c_0_64,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk7_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_14])]) ).

cnf(c_0_65,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk8_0 != esk7_0
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_14])]) ).

cnf(c_0_66,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk8_0 != esk7_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_52,c_0_21]),c_0_22]) ).

cnf(c_0_67,negated_conjecture,
    ( rq(esk3_0,esk6_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_68,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk6_0 != esk7_0
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_69,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk7_0 != esk6_0
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_14])]) ).

cnf(c_0_70,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk6_0 != esk8_0
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_71,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk8_0 != esk6_0
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_14])]) ).

cnf(c_0_72,negated_conjecture,
    ( X1 = esk4_0
    | X2 = esk4_0
    | X3 = esk4_0
    | X4 = esk4_0
    | X1 = X2
    | X1 = X3
    | X1 = X4
    | X2 = X3
    | X2 = X4
    | X3 = X4
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_55]) ).

cnf(c_0_73,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rr(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_56]) ).

cnf(c_0_74,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk8_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_57,c_0_21]),c_0_22]) ).

cnf(c_0_75,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk7_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_14])]) ).

cnf(c_0_76,negated_conjecture,
    ( rq(esk3_0,esk6_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_77,negated_conjecture,
    ( X1 = esk5_0
    | X2 = esk5_0
    | X3 = esk5_0
    | X1 = esk4_0
    | X2 = esk4_0
    | X3 = esk4_0
    | X2 = X1
    | X3 = X1
    | X3 = X2
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_78,negated_conjecture,
    ( xsd_string(esk2_0)
    | rr(esk3_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_79,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_64,c_0_21]),c_0_22]) ).

cnf(c_0_80,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk8_0 != esk7_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[c_0_65,c_0_21]) ).

cnf(c_0_81,negated_conjecture,
    ( esk8_0 != esk7_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_66]) ).

cnf(c_0_82,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk6_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_14])]) ).

cnf(c_0_83,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_14])]) ).

cnf(c_0_84,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk7_0 != esk6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_69,c_0_21]),c_0_22]) ).

cnf(c_0_85,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk8_0 != esk6_0
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_14])]) ).

cnf(c_0_86,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk8_0 != esk6_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_71,c_0_21]),c_0_22]) ).

cnf(c_0_87,negated_conjecture,
    ( X1 = esk5_0
    | X2 = esk5_0
    | X3 = esk5_0
    | X1 = esk4_0
    | X2 = esk4_0
    | X3 = esk4_0
    | X2 = X1
    | X3 = X1
    | X3 = X2
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_61]) ).

cnf(c_0_88,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rr(esk3_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_74]) ).

cnf(c_0_89,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_75,c_0_21]),c_0_22]) ).

cnf(c_0_90,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk6_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_14])]) ).

cnf(c_0_91,negated_conjecture,
    ( esk4_0 = esk8_0
    | esk5_0 = esk8_0
    | X1 = esk8_0
    | X2 = esk8_0
    | X1 = esk4_0
    | X2 = esk4_0
    | X1 = esk5_0
    | X2 = esk5_0
    | X1 = X2
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_92,negated_conjecture,
    ( xsd_string(esk2_0)
    | rr(esk3_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_79]) ).

cnf(c_0_93,negated_conjecture,
    esk8_0 != esk7_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_80,c_0_66]),c_0_81]) ).

cnf(c_0_94,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_82,c_0_21]),c_0_22]) ).

cnf(c_0_95,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[c_0_83,c_0_21]) ).

cnf(c_0_96,negated_conjecture,
    ( esk7_0 != esk6_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_84]) ).

cnf(c_0_97,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk8_0 != esk6_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[c_0_85,c_0_21]) ).

cnf(c_0_98,negated_conjecture,
    ( esk8_0 != esk6_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_86]) ).

cnf(c_0_99,negated_conjecture,
    ( esk4_0 = esk8_0
    | esk5_0 = esk8_0
    | X1 = esk8_0
    | X2 = esk8_0
    | X1 = esk4_0
    | X2 = esk4_0
    | X1 = esk5_0
    | X2 = esk5_0
    | X1 = X2
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_100,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rr(esk3_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_89]) ).

cnf(c_0_101,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_90,c_0_21]),c_0_22]) ).

fof(c_0_102,plain,
    ! [X99,X100] :
      ( ~ rq(X99,X100)
      | cB(X100) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).

fof(c_0_103,plain,
    ! [X97,X98] :
      ( ~ rp(X97,X98)
      | cA(X98) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).

cnf(c_0_104,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0
    | X1 = esk7_0
    | X1 = esk5_0
    | X1 = esk4_0
    | X1 = esk8_0
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).

cnf(c_0_105,negated_conjecture,
    ( xsd_string(esk2_0)
    | rr(esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_94]) ).

cnf(c_0_106,negated_conjecture,
    esk7_0 != esk6_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_95,c_0_84]),c_0_96]) ).

cnf(c_0_107,negated_conjecture,
    esk8_0 != esk6_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_97,c_0_86]),c_0_98]) ).

cnf(c_0_108,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0
    | X1 = esk7_0
    | X1 = esk5_0
    | X1 = esk4_0
    | X1 = esk8_0
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_93]) ).

cnf(c_0_109,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rr(esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_101]) ).

fof(c_0_110,plain,
    ! [X101] :
      ( ~ cB(X101)
      | ~ cA(X101) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).

cnf(c_0_111,plain,
    ( cB(X2)
    | ~ rq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_112,plain,
    ( cA(X2)
    | ~ rp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_113,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk5_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0
    | xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_107]) ).

cnf(c_0_114,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk5_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0
    | xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_106]),c_0_107]) ).

cnf(c_0_115,plain,
    ( ~ cB(X1)
    | ~ cA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_116,negated_conjecture,
    ( xsd_string(esk2_0)
    | cB(esk8_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_63]) ).

cnf(c_0_117,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cB(esk8_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_74]) ).

cnf(c_0_118,negated_conjecture,
    ( xsd_string(esk2_0)
    | cA(esk5_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_45]) ).

cnf(c_0_119,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_113]),c_0_114]) ).

cnf(c_0_120,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cA(esk8_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_121,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cA(esk5_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_56]) ).

cnf(c_0_122,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cA(esk8_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_117]) ).

cnf(c_0_123,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).

cnf(c_0_124,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_119]),c_0_122]) ).

cnf(c_0_125,negated_conjecture,
    ( xsd_string(esk2_0)
    | cB(esk7_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_79]) ).

cnf(c_0_126,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cB(esk7_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_89]) ).

cnf(c_0_127,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk4_0 = esk8_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_123]),c_0_124]) ).

cnf(c_0_128,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cA(esk7_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_125]) ).

cnf(c_0_129,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cA(esk7_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_126]) ).

cnf(c_0_130,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_127]),c_0_128]) ).

cnf(c_0_131,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_127]),c_0_129]) ).

cnf(c_0_132,negated_conjecture,
    ( xsd_string(esk2_0)
    | cB(esk6_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_94]) ).

cnf(c_0_133,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cB(esk6_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_101]) ).

cnf(c_0_134,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk4_0 = esk8_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_130]),c_0_131]) ).

cnf(c_0_135,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cA(esk6_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_132]) ).

cnf(c_0_136,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cA(esk6_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_133]) ).

cnf(c_0_137,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_134]),c_0_135]) ).

cnf(c_0_138,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_134]),c_0_136]) ).

cnf(c_0_139,negated_conjecture,
    ( xsd_string(esk2_0)
    | cA(esk4_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_33]) ).

cnf(c_0_140,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_137]),c_0_138]) ).

cnf(c_0_141,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cA(esk4_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_40]) ).

cnf(c_0_142,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk7_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_120]) ).

cnf(c_0_143,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk7_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_140]),c_0_122]) ).

cnf(c_0_144,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_142]),c_0_143]) ).

cnf(c_0_145,negated_conjecture,
    ( esk4_0 = esk6_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_144]),c_0_128]) ).

cnf(c_0_146,negated_conjecture,
    ( esk4_0 = esk6_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_144]),c_0_129]) ).

cnf(c_0_147,negated_conjecture,
    esk4_0 = esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_145]),c_0_146]) ).

cnf(c_0_148,negated_conjecture,
    xsd_string(esk2_0),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_147]),c_0_135]) ).

cnf(c_0_149,negated_conjecture,
    ~ xsd_integer(esk2_0),
    inference(spm,[status(thm)],[c_0_36,c_0_148]) ).

cnf(c_0_150,negated_conjecture,
    cB(esk6_0),
    inference(sr,[status(thm)],[c_0_133,c_0_149]) ).

cnf(c_0_151,negated_conjecture,
    ~ cA(esk6_0),
    inference(spm,[status(thm)],[c_0_115,c_0_150]) ).

cnf(c_0_152,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_147]),c_0_149]),c_0_151]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS162+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
% 0.15/0.32  % Computer : n025.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Mon May  4 20:39:28 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.30/1.73  % Version  : CSE_E---1.7
% 1.30/1.73  % Problem  : theBenchmark.p
% 1.30/1.73  % SZS status Theorem for theBenchmark.p
% 1.30/1.73  % SZS output start CNFRefutation
% See solution above
% 1.30/1.73  % Total time : 1.373s
%------------------------------------------------------------------------------