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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 01:01:04 PM UTC 2026

% Result   : Theorem 0.12s 0.44s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  156 (  10 unt;   0 def)
%            Number of atoms       :  824 ( 305 equ)
%            Maximal formula atoms :  128 (   5 avg)
%            Number of connectives :  957 ( 289   ~; 557   |;  99   &)
%                                         (   5 <=>;   7  =>;   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   :  131 (   4 sgn  38   !;  30   ?)

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

fof(axiom_0,axiom,
    ! [X4] :
      ( ~ cowlNothing(X4)
      & cowlThing(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] :
      ~ ( cA(X4)
        & cB(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

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

fof(c_0_9,negated_conjecture,
    ~ ( ! [X4] :
          ( ( ? [X6,X7,X8] :
                ( X7 != X8
                & X6 != X8
                & X6 != X7
                & rq(X4,X8)
                & rq(X4,X7)
                & rq(X4,X6) )
            & ? [X6,X7] :
                ( X6 != X7
                & rp(X4,X7)
                & rp(X4,X6) ) )
         => ? [X6,X7,X8,X9,X10] :
              ( X9 != X10
              & X8 != X10
              & X8 != X9
              & X7 != X10
              & X7 != X9
              & X7 != X8
              & X6 != X10
              & X6 != X9
              & X6 != X8
              & X6 != X7
              & rr(X4,X10)
              & rr(X4,X9)
              & rr(X4,X8)
              & rr(X4,X7)
              & rr(X4,X6) ) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4] :
          ( ~ cowlNothing(X4)
          & cowlThing(X4) ) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_10,plain,
    ! [X4] :
      ( ~ cowlNothing(X4)
      & cowlThing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_11,negated_conjecture,
    ! [X60,X61,X62,X63,X64] :
      ( ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | X63 = X64
        | X62 = X64
        | X62 = X63
        | X61 = X64
        | X61 = X63
        | X61 = X62
        | X60 = X64
        | X60 = X63
        | X60 = X62
        | X60 = X61
        | ~ rr(esk3_0,X64)
        | ~ rr(esk3_0,X63)
        | ~ rr(esk3_0,X62)
        | ~ rr(esk3_0,X61)
        | ~ rr(esk3_0,X60) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | esk7_0 != esk8_0 )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | esk6_0 != esk8_0 )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | esk6_0 != esk7_0 )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | rq(esk3_0,esk8_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | rq(esk3_0,esk7_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | rq(esk3_0,esk6_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | esk4_0 != esk5_0 )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | rp(esk3_0,esk5_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | ~ xsd_integer(esk2_0)
        | xsd_string(esk2_0)
        | rp(esk3_0,esk4_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | X63 = X64
        | X62 = X64
        | X62 = X63
        | X61 = X64
        | X61 = X63
        | X61 = X62
        | X60 = X64
        | X60 = X63
        | X60 = X62
        | X60 = X61
        | ~ rr(esk3_0,X64)
        | ~ rr(esk3_0,X63)
        | ~ rr(esk3_0,X62)
        | ~ rr(esk3_0,X61)
        | ~ rr(esk3_0,X60) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | esk7_0 != esk8_0 )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | esk6_0 != esk8_0 )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | esk6_0 != esk7_0 )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | rq(esk3_0,esk8_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | rq(esk3_0,esk7_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | rq(esk3_0,esk6_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | esk4_0 != esk5_0 )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | rp(esk3_0,esk5_0) )
      & ( cowlNothing(esk1_0)
        | ~ cowlThing(esk1_0)
        | xsd_integer(esk2_0)
        | ~ xsd_string(esk2_0)
        | rp(esk3_0,esk4_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_9])])])])])]) ).

fof(c_0_12,plain,
    ! [X41] :
      ( ~ cowlNothing(X41)
      & cowlThing(X41) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

fof(c_0_13,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X42] :
      ( ( xsd_string(X42)
        | xsd_integer(X42) )
      & ( ~ xsd_integer(X42)
        | ~ xsd_string(X42) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk4_0 != esk5_0
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk4_0 != esk5_0
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ cowlThing(esk1_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)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_20,plain,
    ! [X50,X51] :
      ( rr(X50,X51)
      | ~ rp(X50,X51) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | rp(esk3_0,esk4_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_22,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_23,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk5_0 != esk4_0
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_15])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk5_0 != esk4_0
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_15])]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk3_0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X5)
    | ~ xsd_string(esk2_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | X2 = X3
    | X2 = X4
    | X2 = X5
    | X3 = X4
    | X3 = X5
    | X4 = X5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_15])]) ).

cnf(c_0_29,plain,
    ( ~ rp(X1,X2)
    | rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | rp(esk3_0,esk5_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_15])]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk5_0 != esk4_0
    | xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[c_0_25,c_0_22]) ).

cnf(c_0_33,negated_conjecture,
    ( esk5_0 != esk4_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_22]),c_0_23]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk7_0 != esk8_0
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk7_0 != esk8_0
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ cowlThing(esk1_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)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_15])]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk3_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X5)
    | xsd_integer(esk2_0)
    | X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_28,c_0_22]),c_0_23]) ).

cnf(c_0_41,negated_conjecture,
    ( rr(esk3_0,esk4_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_42,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_31,c_0_22]),c_0_23]) ).

cnf(c_0_43,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_44,negated_conjecture,
    ( esk5_0 != esk4_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_45,plain,
    ! [X48,X49] :
      ( rr(X48,X49)
      | ~ rq(X48,X49) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | rq(esk3_0,esk8_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_15])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk8_0 != esk7_0
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_15])]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk8_0 != esk7_0
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_15])]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk6_0 != esk7_0
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk6_0 != esk7_0
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk6_0 != esk8_0
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk6_0 != esk8_0
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X5)
    | ~ xsd_integer(esk2_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | X2 = X3
    | X2 = X4
    | X2 = X5
    | X3 = X4
    | X3 = X5
    | X4 = X5 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_15])]) ).

cnf(c_0_55,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_38,c_0_22]),c_0_23]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_15])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | xsd_integer(esk2_0)
    | X3 = X4
    | X2 = X4
    | X2 = X3
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | X4 = esk4_0
    | X3 = esk4_0
    | X2 = esk4_0
    | X1 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_59,negated_conjecture,
    ( rr(esk3_0,esk5_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_42]) ).

cnf(c_0_60,negated_conjecture,
    esk5_0 != esk4_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_33]) ).

cnf(c_0_61,plain,
    ( ~ rq(X1,X2)
    | rr(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_62,negated_conjecture,
    ( rq(esk3_0,esk8_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_46,c_0_22]),c_0_23]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | rq(esk3_0,esk7_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_15])]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk8_0 != esk7_0
    | xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[c_0_48,c_0_22]) ).

cnf(c_0_65,negated_conjecture,
    ( esk8_0 != esk7_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_49,c_0_22]),c_0_23]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk7_0 != esk6_0
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_15])]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk7_0 != esk6_0
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_15])]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk8_0 != esk6_0
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_15])]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk8_0 != esk6_0
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_15])]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X5)
    | xsd_string(esk2_0)
    | X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_54,c_0_22]),c_0_40]) ).

cnf(c_0_72,negated_conjecture,
    ( rr(esk3_0,esk4_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_55]) ).

cnf(c_0_73,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_56,c_0_22]),c_0_23]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | rq(esk3_0,esk8_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_15])]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1)
    | xsd_integer(esk2_0)
    | X3 = X2
    | X3 = X1
    | X2 = X1
    | X3 = esk4_0
    | X2 = esk4_0
    | X1 = esk4_0
    | X3 = esk5_0
    | X2 = esk5_0
    | X1 = esk5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_77,negated_conjecture,
    ( rr(esk3_0,esk8_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_78,negated_conjecture,
    ( rq(esk3_0,esk7_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_63,c_0_22]),c_0_23]) ).

cnf(c_0_79,negated_conjecture,
    ( esk8_0 != esk7_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | rq(esk3_0,esk6_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_15])]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk7_0 != esk6_0
    | xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[c_0_67,c_0_22]) ).

cnf(c_0_82,negated_conjecture,
    ( esk7_0 != esk6_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_68,c_0_22]),c_0_23]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk8_0 != esk6_0
    | xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[c_0_69,c_0_22]) ).

cnf(c_0_84,negated_conjecture,
    ( esk8_0 != esk6_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_70,c_0_22]),c_0_23]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | xsd_string(esk2_0)
    | X3 = X4
    | X2 = X4
    | X2 = X3
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | X4 = esk4_0
    | X3 = esk4_0
    | X2 = esk4_0
    | X1 = esk4_0 ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_86,negated_conjecture,
    ( rr(esk3_0,esk5_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_73]) ).

cnf(c_0_87,negated_conjecture,
    ( rq(esk3_0,esk8_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_74,c_0_22]),c_0_23]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | rq(esk3_0,esk7_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_15])]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | xsd_integer(esk2_0)
    | X1 = X2
    | X2 = esk5_0
    | X1 = esk5_0
    | X2 = esk4_0
    | X1 = esk4_0
    | X2 = esk8_0
    | X1 = esk8_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0 ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_91,negated_conjecture,
    ( rr(esk3_0,esk7_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_78]) ).

cnf(c_0_92,negated_conjecture,
    esk8_0 != esk7_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_79]),c_0_65]) ).

cnf(c_0_93,negated_conjecture,
    ( rq(esk3_0,esk6_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_80,c_0_22]),c_0_23]) ).

cnf(c_0_94,negated_conjecture,
    ( esk7_0 != esk6_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_95,negated_conjecture,
    ( esk8_0 != esk6_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1)
    | xsd_string(esk2_0)
    | X3 = X2
    | X3 = X1
    | X2 = X1
    | X3 = esk4_0
    | X2 = esk4_0
    | X1 = esk4_0
    | X3 = esk5_0
    | X2 = esk5_0
    | X1 = esk5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_60]) ).

cnf(c_0_97,negated_conjecture,
    ( rr(esk3_0,esk8_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_87]) ).

cnf(c_0_98,negated_conjecture,
    ( rq(esk3_0,esk7_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_88,c_0_22]),c_0_23]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | rq(esk3_0,esk6_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_15])]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | xsd_integer(esk2_0)
    | X1 = esk8_0
    | X1 = esk4_0
    | X1 = esk5_0
    | X1 = esk7_0
    | esk4_0 = esk8_0
    | esk5_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    ( rr(esk3_0,esk6_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_93]) ).

cnf(c_0_102,negated_conjecture,
    esk7_0 != esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_94]),c_0_82]) ).

cnf(c_0_103,negated_conjecture,
    esk8_0 != esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_95]),c_0_84]) ).

fof(c_0_104,plain,
    ! [X45,X46] :
      ( cB(X46)
      | ~ rq(X45,X46) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).

fof(c_0_105,plain,
    ! [X43,X44] :
      ( cA(X44)
      | ~ rp(X43,X44) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | xsd_string(esk2_0)
    | X1 = X2
    | X2 = esk5_0
    | X1 = esk5_0
    | X2 = esk4_0
    | X1 = esk4_0
    | X2 = esk8_0
    | X1 = esk8_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_107,negated_conjecture,
    ( rr(esk3_0,esk7_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_98]) ).

cnf(c_0_108,negated_conjecture,
    ( rq(esk3_0,esk6_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_99,c_0_22]),c_0_23]) ).

cnf(c_0_109,negated_conjecture,
    ( xsd_integer(esk2_0)
    | 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(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]) ).

fof(c_0_110,plain,
    ! [X47] :
      ( ~ cA(X47)
      | ~ cB(X47) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).

cnf(c_0_111,plain,
    ( ~ rq(X1,X2)
    | cB(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_112,plain,
    ( ~ rp(X1,X2)
    | cA(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ rr(esk3_0,X1)
    | xsd_string(esk2_0)
    | X1 = esk8_0
    | X1 = esk4_0
    | X1 = esk5_0
    | X1 = esk7_0
    | esk4_0 = esk8_0
    | esk5_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_92]) ).

cnf(c_0_114,negated_conjecture,
    ( rr(esk3_0,esk6_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk5_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_109]) ).

cnf(c_0_116,plain,
    ( ~ cA(X1)
    | ~ cB(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_117,negated_conjecture,
    ( cB(esk8_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_62]) ).

cnf(c_0_118,negated_conjecture,
    ( cA(esk5_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_42]) ).

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(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_102]),c_0_103]),c_0_115]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ cA(esk8_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_121,negated_conjecture,
    ( cB(esk8_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_87]) ).

cnf(c_0_122,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).

cnf(c_0_123,negated_conjecture,
    ( cA(esk5_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_73]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ cA(esk8_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_121]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk4_0 = esk8_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_122]) ).

cnf(c_0_126,negated_conjecture,
    ( cB(esk7_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_78]) ).

cnf(c_0_127,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_119]),c_0_124]),c_0_125]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ cA(esk7_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_126]) ).

cnf(c_0_129,negated_conjecture,
    ( cB(esk7_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_98]) ).

cnf(c_0_130,negated_conjecture,
    ( xsd_integer(esk2_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_118,c_0_127]),c_0_128]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ cA(esk7_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_129]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_130]) ).

cnf(c_0_133,negated_conjecture,
    ( cB(esk6_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_93]) ).

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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_127]),c_0_131]),c_0_132]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ cA(esk6_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_133]) ).

cnf(c_0_136,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_134]),c_0_135]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk4_0 = esk7_0
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_136]) ).

cnf(c_0_138,negated_conjecture,
    ( cB(esk6_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_108]) ).

cnf(c_0_139,negated_conjecture,
    ( rp(esk3_0,esk6_0)
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_134]),c_0_137]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ cA(esk6_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_138]) ).

cnf(c_0_141,negated_conjecture,
    ( cA(esk6_0)
    | esk4_0 = esk7_0
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[c_0_112,c_0_139]) ).

cnf(c_0_142,negated_conjecture,
    ( cA(esk4_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_30]) ).

cnf(c_0_143,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | esk4_0 = esk7_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_137]) ).

cnf(c_0_144,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk4_0 = esk7_0
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_120]) ).

cnf(c_0_145,negated_conjecture,
    ( cA(esk4_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_55]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk4_0 = esk6_0
    | esk4_0 = esk7_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_144]) ).

cnf(c_0_147,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_143]),c_0_124]),c_0_146]) ).

cnf(c_0_148,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_147]),c_0_128]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_148]) ).

cnf(c_0_150,negated_conjecture,
    ( rp(esk3_0,esk7_0)
    | esk4_0 = esk6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_147]),c_0_149]) ).

cnf(c_0_151,negated_conjecture,
    ( cA(esk7_0)
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[c_0_112,c_0_150]) ).

cnf(c_0_152,negated_conjecture,
    esk4_0 = esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_151]),c_0_149]) ).

cnf(c_0_153,negated_conjecture,
    xsd_integer(esk2_0),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_152]),c_0_135]) ).

cnf(c_0_154,negated_conjecture,
    xsd_string(esk2_0),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_152]),c_0_140]) ).

cnf(c_0_155,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_153]),c_0_154])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n017.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 22:50:12 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44  % Version: 3.5.1
% 0.12/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44  % Starting sh5l with 300s (1) cores
% 0.12/0.44  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 810482 completed with status 0
% 0.12/0.44  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44  % No SInE strategy applied
% 0.12/0.44  % Search class: FGHSF-FFMF00-SFFFFFNN
% 0.12/0.44  % partial match(1): FGHSF-FFMM00-SFFFFFNN
% 0.12/0.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44  % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.44  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.44  % Starting new_bool_3 with 136s (1) cores
% 0.12/0.44  % Starting new_bool_1 with 136s (1) cores
% 0.12/0.44  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 810492 completed with status 0
% 0.12/0.44  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.12/0.44  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.44  % No SInE strategy applied
% 0.12/0.44  % Search class: FGHSF-FFMF00-SFFFFFNN
% 0.12/0.44  % partial match(1): FGHSF-FFMM00-SFFFFFNN
% 0.12/0.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.44  % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.44  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.44  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.12/0.44  % Preprocessing time       : 0.001 s
% 0.12/0.44  % Presaturation interreduction done
% 0.12/0.44  
% 0.12/0.44  % Proof found!
% 0.12/0.44  % SZS status Theorem
% 0.12/0.44  % SZS output start CNFRefutation
% See solution above
% 0.12/0.44  % Parsed axioms                        : 20
% 0.12/0.44  % Removed by relevancy pruning/SinE    : 0
% 0.12/0.44  % Initial clauses                      : 41
% 0.12/0.44  % Removed in clause preprocessing      : 13
% 0.12/0.44  % Initial clauses in saturation        : 28
% 0.12/0.44  % Processed clauses                    : 271
% 0.12/0.44  % ...of these trivial                  : 3
% 0.12/0.44  % ...subsumed                          : 114
% 0.12/0.44  % ...remaining for further processing  : 154
% 0.12/0.44  % Other redundant clauses eliminated   : 0
% 0.12/0.44  % Clauses deleted for lack of memory   : 0
% 0.12/0.44  % Backward-subsumed                    : 38
% 0.12/0.44  % Backward-rewritten                   : 73
% 0.12/0.44  % Generated clauses                    : 331
% 0.12/0.44  % ...of the previous two non-redundant : 345
% 0.12/0.44  % ...aggressively subsumed             : 0
% 0.12/0.44  % Contextual simplify-reflections      : 42
% 0.12/0.44  % Paramodulations                      : 325
% 0.12/0.44  % Factorizations                       : 6
% 0.12/0.44  % NegExts                              : 0
% 0.12/0.44  % Equation resolutions                 : 0
% 0.12/0.44  % Disequality decompositions           : 0
% 0.12/0.44  % Total rewrite steps                  : 106
% 0.12/0.44  % ...of those cached                   : 103
% 0.12/0.44  % Propositional unsat checks           : 0
% 0.12/0.44  %    Propositional check models        : 0
% 0.12/0.44  %    Propositional check unsatisfiable : 0
% 0.12/0.44  %    Propositional clauses             : 0
% 0.12/0.44  %    Propositional clauses after purity: 0
% 0.12/0.44  %    Propositional unsat core size     : 0
% 0.12/0.44  %    Propositional preprocessing time  : 0.000
% 0.12/0.44  %    Propositional encoding time       : 0.000
% 0.12/0.44  %    Propositional solver time         : 0.000
% 0.12/0.44  %    Success case prop preproc time    : 0.000
% 0.12/0.44  %    Success case prop encoding time   : 0.000
% 0.12/0.44  %    Success case prop solver time     : 0.000
% 0.12/0.44  % Current number of processed clauses  : 15
% 0.12/0.44  %    Positive orientable unit clauses  : 3
% 0.12/0.44  %    Positive unorientable unit clauses: 0
% 0.12/0.44  %    Negative unit clauses             : 5
% 0.12/0.44  %    Non-unit-clauses                  : 7
% 0.12/0.44  % Current number of unprocessed clauses: 130
% 0.12/0.44  % ...number of literals in the above   : 1643
% 0.12/0.44  % Current number of archived formulas  : 0
% 0.12/0.44  % Current number of archived clauses   : 140
% 0.12/0.44  % Clause-clause subsumption calls (NU) : 11292
% 0.12/0.44  % Rec. Clause-clause subsumption calls : 1194
% 0.12/0.44  % Non-unit clause-clause subsumptions  : 180
% 0.12/0.44  % Unit Clause-clause subsumption calls : 118
% 0.12/0.44  % Rewrite failures with RHS unbound    : 0
% 0.12/0.44  % BW rewrite match attempts            : 3
% 0.12/0.44  % BW rewrite match successes           : 3
% 0.12/0.44  % Condensation attempts                : 0
% 0.12/0.44  % Condensation successes               : 0
% 0.12/0.44  % Termbank termtop insertions          : 13488
% 0.12/0.44  % Search garbage collected termcells   : 752
% 0.12/0.44  
% 0.12/0.44  % -------------------------------------------------
% 0.12/0.44  % User time                : 0.022 s
% 0.12/0.44  % System time              : 0.003 s
% 0.12/0.44  % Total time               : 0.025 s
% 0.12/0.44  % Maximum resident set size: 3656 pages
% 0.12/0.44  
% 0.12/0.44  % -------------------------------------------------
% 0.12/0.44  % User time                : 0.094 s
% 0.12/0.44  % System time              : 0.013 s
% 0.12/0.44  % Total time               : 0.107 s
% 0.12/0.44  % Maximum resident set size: 4864 pages
% 0.12/0.44  % E exiting
%------------------------------------------------------------------------------