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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : KRS142+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n028.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 04:36:42 PM UTC 2026

% Result   : Theorem 1.26s 1.71s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   95 (  10 unt;   0 def)
%            Number of atoms       :  444 (  31 equ)
%            Maximal formula atoms :   96 (   4 avg)
%            Number of connectives :  515 ( 166   ~; 305   |;  32   &)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   67 (  28 sgn  25   !;   3   ?)

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

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

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

fof(axiom_2,axiom,
    ! [X4] :
      ( cc(X4)
     => ( ? [X5] : rp(X4,X5)
        & ! [X5,X6] :
            ( ( rp(X4,X5)
              & rp(X4,X6) )
           => X5 = X6 ) ) ),
    file('/export/starexec/sandbox/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] : rp(X4,X5) )
      & ! [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,
    ! [X61] :
      ( ( cc(esk5_0)
        | cc(esk4_0)
        | ~ xsd_string(esk3_0)
        | xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( rp(esk5_0,esk6_0)
        | cc(esk4_0)
        | ~ xsd_string(esk3_0)
        | xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( rp(esk5_0,esk7_0)
        | cc(esk4_0)
        | ~ xsd_string(esk3_0)
        | xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( esk6_0 != esk7_0
        | cc(esk4_0)
        | ~ xsd_string(esk3_0)
        | xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( cc(esk5_0)
        | ~ rp(esk4_0,X61)
        | ~ xsd_string(esk3_0)
        | xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( rp(esk5_0,esk6_0)
        | ~ rp(esk4_0,X61)
        | ~ xsd_string(esk3_0)
        | xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( rp(esk5_0,esk7_0)
        | ~ rp(esk4_0,X61)
        | ~ xsd_string(esk3_0)
        | xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( esk6_0 != esk7_0
        | ~ rp(esk4_0,X61)
        | ~ xsd_string(esk3_0)
        | xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( cc(esk5_0)
        | cc(esk4_0)
        | xsd_string(esk3_0)
        | ~ xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( rp(esk5_0,esk6_0)
        | cc(esk4_0)
        | xsd_string(esk3_0)
        | ~ xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( rp(esk5_0,esk7_0)
        | cc(esk4_0)
        | xsd_string(esk3_0)
        | ~ xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( esk6_0 != esk7_0
        | cc(esk4_0)
        | xsd_string(esk3_0)
        | ~ xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( cc(esk5_0)
        | ~ rp(esk4_0,X61)
        | xsd_string(esk3_0)
        | ~ xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( rp(esk5_0,esk6_0)
        | ~ rp(esk4_0,X61)
        | xsd_string(esk3_0)
        | ~ xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( rp(esk5_0,esk7_0)
        | ~ rp(esk4_0,X61)
        | xsd_string(esk3_0)
        | ~ xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_0) )
      & ( esk6_0 != esk7_0
        | ~ rp(esk4_0,X61)
        | xsd_string(esk3_0)
        | ~ xsd_integer(esk3_0)
        | ~ cowlThing(esk2_0)
        | cowlNothing(esk2_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,
    ! [X52] :
      ( cowlThing(X52)
      & ~ cowlNothing(X52) ),
    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,
    ( rp(esk5_0,esk6_0)
    | xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | ~ rp(esk4_0,X1)
    | ~ xsd_string(esk3_0)
    | ~ cowlThing(esk2_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,
    ! [X53] :
      ( ( ~ xsd_string(X53)
        | ~ xsd_integer(X53) )
      & ( xsd_integer(X53)
        | xsd_string(X53) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

cnf(c_0_12,negated_conjecture,
    ( rp(esk5_0,esk6_0)
    | cc(esk4_0)
    | xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | ~ xsd_integer(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    ( rp(esk5_0,esk6_0)
    | xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | ~ rp(esk4_0,X1)
    | ~ xsd_integer(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | rp(esk5_0,esk6_0)
    | ~ xsd_string(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

cnf(c_0_15,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    ( rp(esk5_0,esk6_0)
    | cc(esk4_0)
    | xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | ~ xsd_string(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_18,plain,
    ! [X54,X56,X57] :
      ( ( rp(X54,esk1_1(X54))
        | ~ cc(X54) )
      & ( ~ rp(X54,X56)
        | ~ rp(X54,X57)
        | X56 = X57
        | ~ cc(X54) ) ),
    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_19,negated_conjecture,
    ( cc(esk4_0)
    | cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | rp(esk5_0,esk6_0)
    | ~ xsd_integer(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10])]) ).

cnf(c_0_20,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | rp(esk5_0,esk6_0)
    | ~ xsd_integer(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_10])]) ).

cnf(c_0_21,negated_conjecture,
    ( xsd_integer(esk3_0)
    | rp(esk5_0,esk6_0)
    | ~ rp(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    ( cc(esk4_0)
    | cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | rp(esk5_0,esk6_0)
    | ~ xsd_string(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_10])]) ).

cnf(c_0_23,negated_conjecture,
    ( rp(esk5_0,esk7_0)
    | xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | ~ rp(esk4_0,X1)
    | ~ xsd_string(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,plain,
    ( rp(X1,esk1_1(X1))
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ( xsd_string(esk3_0)
    | rp(esk5_0,esk6_0)
    | cc(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_19,c_0_15]),c_0_16]) ).

cnf(c_0_26,negated_conjecture,
    ( xsd_string(esk3_0)
    | rp(esk5_0,esk6_0)
    | ~ rp(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_15]),c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    ( xsd_integer(esk3_0)
    | rp(esk5_0,esk6_0)
    | cc(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_22,c_0_15]),c_0_16]) ).

cnf(c_0_28,negated_conjecture,
    ( cc(esk5_0)
    | cc(esk4_0)
    | xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | ~ xsd_integer(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_29,negated_conjecture,
    ( rp(esk5_0,esk7_0)
    | cc(esk4_0)
    | xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | ~ xsd_integer(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_30,negated_conjecture,
    ( rp(esk5_0,esk7_0)
    | xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | ~ rp(esk4_0,X1)
    | ~ xsd_integer(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_31,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | rp(esk5_0,esk7_0)
    | ~ xsd_string(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_10])]) ).

cnf(c_0_32,negated_conjecture,
    ( rp(esk5_0,esk7_0)
    | cc(esk4_0)
    | xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | ~ xsd_string(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_33,negated_conjecture,
    ( cc(esk5_0)
    | cc(esk4_0)
    | xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | ~ xsd_string(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_34,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_35,negated_conjecture,
    ( xsd_string(esk3_0)
    | rp(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    ( xsd_integer(esk3_0)
    | rp(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_27]),c_0_21]) ).

cnf(c_0_37,negated_conjecture,
    ( cc(esk4_0)
    | cc(esk5_0)
    | cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ xsd_integer(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_10])]) ).

cnf(c_0_38,negated_conjecture,
    ( cc(esk4_0)
    | cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | rp(esk5_0,esk7_0)
    | ~ xsd_integer(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_10])]) ).

cnf(c_0_39,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | rp(esk5_0,esk7_0)
    | ~ xsd_integer(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_10])]) ).

cnf(c_0_40,negated_conjecture,
    ( xsd_integer(esk3_0)
    | rp(esk5_0,esk7_0)
    | ~ rp(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_31,c_0_15]),c_0_16]) ).

cnf(c_0_41,negated_conjecture,
    ( cc(esk4_0)
    | cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | rp(esk5_0,esk7_0)
    | ~ xsd_string(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_10])]) ).

cnf(c_0_42,negated_conjecture,
    ( cc(esk4_0)
    | xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | esk6_0 != esk7_0
    | ~ xsd_integer(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_43,negated_conjecture,
    ( cc(esk4_0)
    | cc(esk5_0)
    | cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ xsd_string(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_10])]) ).

cnf(c_0_44,negated_conjecture,
    ( cc(esk4_0)
    | xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | esk6_0 != esk7_0
    | ~ xsd_string(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_45,plain,
    ( X2 = X3
    | ~ rp(X1,X2)
    | ~ rp(X1,X3)
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_46,negated_conjecture,
    rp(esk5_0,esk6_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_47,negated_conjecture,
    ( xsd_string(esk3_0)
    | cc(esk5_0)
    | cc(esk4_0)
    | ~ xsd_integer(esk3_0) ),
    inference(sr,[status(thm)],[c_0_37,c_0_15]) ).

cnf(c_0_48,negated_conjecture,
    ( xsd_string(esk3_0)
    | rp(esk5_0,esk7_0)
    | cc(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_38,c_0_15]),c_0_16]) ).

cnf(c_0_49,negated_conjecture,
    ( xsd_string(esk3_0)
    | rp(esk5_0,esk7_0)
    | ~ rp(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_39,c_0_15]),c_0_40]) ).

cnf(c_0_50,negated_conjecture,
    ( xsd_integer(esk3_0)
    | rp(esk5_0,esk7_0)
    | cc(esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_41,c_0_15]),c_0_16]) ).

cnf(c_0_51,negated_conjecture,
    ( cc(esk4_0)
    | cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | esk7_0 != esk6_0
    | ~ xsd_integer(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_10])]) ).

cnf(c_0_52,negated_conjecture,
    ( xsd_integer(esk3_0)
    | cc(esk5_0)
    | cc(esk4_0)
    | ~ xsd_string(esk3_0) ),
    inference(sr,[status(thm)],[c_0_43,c_0_15]) ).

cnf(c_0_53,negated_conjecture,
    ( cc(esk4_0)
    | cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_10])]) ).

cnf(c_0_54,negated_conjecture,
    ( X1 = esk6_0
    | ~ rp(esk5_0,X1)
    | ~ cc(esk5_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_55,negated_conjecture,
    ( xsd_string(esk3_0)
    | cc(esk4_0)
    | cc(esk5_0) ),
    inference(csr,[status(thm)],[c_0_47,c_0_16]) ).

cnf(c_0_56,negated_conjecture,
    ( xsd_string(esk3_0)
    | rp(esk5_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_48]),c_0_49]) ).

cnf(c_0_57,negated_conjecture,
    ( xsd_integer(esk3_0)
    | rp(esk5_0,esk7_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_50]),c_0_40]) ).

cnf(c_0_58,negated_conjecture,
    ( xsd_string(esk3_0)
    | cc(esk4_0)
    | esk7_0 != esk6_0
    | ~ xsd_integer(esk3_0) ),
    inference(sr,[status(thm)],[c_0_51,c_0_15]) ).

cnf(c_0_59,negated_conjecture,
    ( xsd_integer(esk3_0)
    | cc(esk4_0)
    | cc(esk5_0) ),
    inference(csr,[status(thm)],[c_0_52,c_0_16]) ).

cnf(c_0_60,negated_conjecture,
    ( xsd_integer(esk3_0)
    | cc(esk4_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk3_0) ),
    inference(sr,[status(thm)],[c_0_53,c_0_15]) ).

cnf(c_0_61,negated_conjecture,
    ( cc(esk5_0)
    | xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | ~ rp(esk4_0,X1)
    | ~ xsd_string(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_62,negated_conjecture,
    ( X1 = esk6_0
    | xsd_string(esk3_0)
    | cc(esk4_0)
    | ~ rp(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_63,negated_conjecture,
    rp(esk5_0,esk7_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_56]),c_0_57]) ).

cnf(c_0_64,negated_conjecture,
    ( xsd_string(esk3_0)
    | cc(esk4_0)
    | esk7_0 != esk6_0 ),
    inference(csr,[status(thm)],[c_0_58,c_0_16]) ).

cnf(c_0_65,negated_conjecture,
    ( X1 = esk6_0
    | xsd_integer(esk3_0)
    | cc(esk4_0)
    | ~ rp(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    ( xsd_integer(esk3_0)
    | cc(esk4_0)
    | esk7_0 != esk6_0 ),
    inference(csr,[status(thm)],[c_0_60,c_0_16]) ).

cnf(c_0_67,negated_conjecture,
    ( cc(esk5_0)
    | xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | ~ rp(esk4_0,X1)
    | ~ xsd_integer(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_68,negated_conjecture,
    ( cc(esk5_0)
    | cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | ~ xsd_string(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_10])]) ).

cnf(c_0_69,negated_conjecture,
    ( xsd_string(esk3_0)
    | cc(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_70,negated_conjecture,
    ( xsd_integer(esk3_0)
    | cc(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_63]),c_0_66]) ).

cnf(c_0_71,negated_conjecture,
    ( cc(esk5_0)
    | cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | ~ xsd_integer(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_10])]) ).

cnf(c_0_72,negated_conjecture,
    ( xsd_integer(esk3_0)
    | cc(esk5_0)
    | ~ rp(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_68,c_0_15]),c_0_16]) ).

cnf(c_0_73,negated_conjecture,
    ( xsd_string(esk3_0)
    | rp(esk4_0,esk1_1(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    ( xsd_integer(esk3_0)
    | rp(esk4_0,esk1_1(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( xsd_string(esk3_0)
    | cc(esk5_0)
    | ~ rp(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_71,c_0_15]),c_0_72]) ).

cnf(c_0_76,negated_conjecture,
    rp(esk4_0,esk1_1(esk4_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_73]),c_0_74]) ).

cnf(c_0_77,negated_conjecture,
    ( xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | esk6_0 != esk7_0
    | ~ rp(esk4_0,X1)
    | ~ xsd_string(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_78,negated_conjecture,
    ( xsd_string(esk3_0)
    | cc(esk5_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_79,negated_conjecture,
    ( xsd_integer(esk3_0)
    | cc(esk5_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    ( xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | esk6_0 != esk7_0
    | ~ rp(esk4_0,X1)
    | ~ xsd_integer(esk3_0)
    | ~ cowlThing(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_81,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_integer(esk3_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_10])]) ).

cnf(c_0_82,negated_conjecture,
    ( X1 = esk6_0
    | xsd_string(esk3_0)
    | ~ rp(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    ( X1 = esk6_0
    | xsd_integer(esk3_0)
    | ~ rp(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_79]) ).

cnf(c_0_84,negated_conjecture,
    ( cowlNothing(esk2_0)
    | xsd_string(esk3_0)
    | esk7_0 != esk6_0
    | ~ xsd_integer(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_10])]) ).

cnf(c_0_85,negated_conjecture,
    ( xsd_integer(esk3_0)
    | esk7_0 != esk6_0
    | ~ rp(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_81,c_0_15]),c_0_16]) ).

cnf(c_0_86,negated_conjecture,
    ( esk7_0 = esk6_0
    | xsd_string(esk3_0) ),
    inference(spm,[status(thm)],[c_0_82,c_0_63]) ).

cnf(c_0_87,negated_conjecture,
    ( esk7_0 = esk6_0
    | xsd_integer(esk3_0) ),
    inference(spm,[status(thm)],[c_0_83,c_0_63]) ).

cnf(c_0_88,negated_conjecture,
    ( xsd_string(esk3_0)
    | esk7_0 != esk6_0
    | ~ rp(esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_84,c_0_15]),c_0_85]) ).

cnf(c_0_89,negated_conjecture,
    esk7_0 = esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_86]),c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    ( xsd_string(esk3_0)
    | ~ rp(esk4_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89])]) ).

cnf(c_0_91,negated_conjecture,
    xsd_string(esk3_0),
    inference(spm,[status(thm)],[c_0_90,c_0_76]) ).

cnf(c_0_92,negated_conjecture,
    ~ xsd_integer(esk3_0),
    inference(spm,[status(thm)],[c_0_34,c_0_91]) ).

cnf(c_0_93,negated_conjecture,
    ~ rp(esk4_0,X1),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_89])]),c_0_92]) ).

cnf(c_0_94,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_76,c_0_93]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : KRS142+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n028.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 20:38:31 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 1.26/1.71  % Version  : CSE_E---1.7
% 1.26/1.71  % Problem  : theBenchmark.p
% 1.26/1.71  % SZS status Theorem for theBenchmark.p
% 1.26/1.71  % SZS output start CNFRefutation
% See solution above
% 1.26/1.71  % Total time : 1.371s
%------------------------------------------------------------------------------