TSTP Solution File: KRS138+1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : KRS138+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n009.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 : Thu Aug 31 05:40:34 EDT 2023

% Result   : Theorem 0.48s 0.59s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  155 (  15 unt;  15 typ;   0 def)
%            Number of atoms       :  653 ( 176 equ)
%            Maximal formula atoms :  160 (   4 avg)
%            Number of connectives :  843 ( 330   ~; 464   |;  38   &)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   6   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   48 (   3 sgn;  30   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    cA: $i > $o ).

tff(decl_23,type,
    cowlNothing: $i > $o ).

tff(decl_24,type,
    cowlThing: $i > $o ).

tff(decl_25,type,
    requalityOnA: ( $i * $i ) > $o ).

tff(decl_26,type,
    xsd_integer: $i > $o ).

tff(decl_27,type,
    xsd_string: $i > $o ).

tff(decl_28,type,
    ib: $i ).

tff(decl_29,type,
    ia: $i ).

tff(decl_30,type,
    ic: $i ).

tff(decl_31,type,
    esk1_0: $i ).

tff(decl_32,type,
    esk2_0: $i ).

tff(decl_33,type,
    esk3_0: $i ).

tff(decl_34,type,
    esk4_0: $i ).

tff(decl_35,type,
    esk5_0: $i ).

tff(decl_36,type,
    esk6_0: $i ).

fof(the_axiom,conjecture,
    ( ! [X4] :
        ( cowlThing(X4)
        & ~ cowlNothing(X4) )
    & ! [X4] :
        ( xsd_string(X4)
      <=> ~ xsd_integer(X4) )
    & ! [X4,X5] :
        ( requalityOnA(X4,X5)
       => ( X4 = ia
          | X4 = ib
          | X4 = ic ) )
    & ! [X4,X5] :
        ( requalityOnA(X4,X5)
       => requalityOnA(X5,X4) )
    & cowlThing(ia)
    & requalityOnA(ia,ia)
    & cowlThing(ib)
    & cowlThing(ic) ),
    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_6,axiom,
    requalityOnA(ia,ia),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(axiom_4,axiom,
    ! [X4,X5] :
      ( requalityOnA(X4,X5)
     => cA(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_2,axiom,
    ! [X4] :
      ( cA(X4)
    <=> ( X4 = ib
        | X4 = ia ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_3,axiom,
    ! [X4,X5,X6] :
      ( ( requalityOnA(X5,X4)
        & requalityOnA(X6,X4) )
     => X5 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_8,axiom,
    requalityOnA(ib,ib),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(c_0_8,negated_conjecture,
    ~ ( ! [X4] :
          ( cowlThing(X4)
          & ~ cowlNothing(X4) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4,X5] :
          ( requalityOnA(X4,X5)
         => ( X4 = ia
            | X4 = ib
            | X4 = ic ) )
      & ! [X4,X5] :
          ( requalityOnA(X4,X5)
         => requalityOnA(X5,X4) )
      & cowlThing(ia)
      & requalityOnA(ia,ia)
      & cowlThing(ib)
      & cowlThing(ic) ),
    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,
    ( ( requalityOnA(esk5_0,esk6_0)
      | requalityOnA(esk3_0,esk4_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | requalityOnA(esk3_0,esk4_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ia
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ia
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ib
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ib
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ic
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ic
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | requalityOnA(esk3_0,esk4_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | requalityOnA(esk3_0,esk4_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ia
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ia
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ib
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ib
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ic
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ic
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

fof(c_0_11,plain,
    ! [X23] :
      ( cowlThing(X23)
      & ~ cowlNothing(X23) ),
    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,
    ( requalityOnA(esk5_0,esk6_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    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,
    ! [X24] :
      ( ( ~ xsd_string(X24)
        | ~ xsd_integer(X24) )
      & ( xsd_integer(X24)
        | xsd_string(X24) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).

cnf(c_0_16,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_18,plain,
    requalityOnA(ia,ia),
    inference(split_conjunct,[status(thm)],[axiom_6]) ).

cnf(c_0_19,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | requalityOnA(esk3_0,esk4_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_23,negated_conjecture,
    ( xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | requalityOnA(esk3_0,esk4_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

fof(c_0_26,plain,
    ! [X29,X30] :
      ( ~ requalityOnA(X29,X30)
      | cA(X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).

cnf(c_0_27,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_28,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18])]),c_0_19]),c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_30,negated_conjecture,
    ( xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | requalityOnA(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_31,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ requalityOnA(esk6_0,esk5_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_32,plain,
    ! [X25] :
      ( ( ~ cA(X25)
        | X25 = ib
        | X25 = ia )
      & ( X25 != ib
        | cA(X25) )
      & ( X25 != ia
        | cA(X25) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).

cnf(c_0_33,plain,
    ( cA(X2)
    | ~ requalityOnA(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_34,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23]) ).

cnf(c_0_35,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | requalityOnA(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_18])]),c_0_19]),c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ib
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_37,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ requalityOnA(esk6_0,esk5_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_38,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

fof(c_0_39,plain,
    ! [X26,X27,X28] :
      ( ~ requalityOnA(X27,X26)
      | ~ requalityOnA(X28,X26)
      | X27 = X28 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).

cnf(c_0_40,plain,
    ( X1 = ib
    | X1 = ia
    | ~ cA(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    ( cA(esk6_0)
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_42,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | requalityOnA(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_35]),c_0_30]) ).

cnf(c_0_43,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_44,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ib
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_45,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_46,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_47,plain,
    ( X1 = X3
    | ~ requalityOnA(X1,X2)
    | ~ requalityOnA(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_48,plain,
    requalityOnA(ib,ib),
    inference(split_conjunct,[status(thm)],[axiom_8]) ).

cnf(c_0_49,negated_conjecture,
    ( esk6_0 = ia
    | ib = esk6_0
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_50,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | cA(esk6_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_52,negated_conjecture,
    ( xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ib != esk3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_53,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_18])]),c_0_19]) ).

cnf(c_0_54,negated_conjecture,
    ( esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_46]) ).

cnf(c_0_55,negated_conjecture,
    ( X1 = esk5_0
    | esk3_0 != ia
    | ~ requalityOnA(X1,esk6_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_34]) ).

cnf(c_0_56,negated_conjecture,
    ( esk6_0 = ia
    | requalityOnA(esk6_0,esk6_0)
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_57,negated_conjecture,
    ( esk6_0 = ia
    | ib = esk6_0
    | requalityOnA(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_50]) ).

cnf(c_0_58,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ib != esk3_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_18])]),c_0_19]),c_0_52]) ).

cnf(c_0_59,negated_conjecture,
    ( esk3_0 != ia
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_53,c_0_46]),c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    ( esk6_0 = ia
    | esk6_0 = esk5_0
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( ib = esk6_0
    | esk6_0 = ia
    | cA(esk4_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | ib != esk3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_58]),c_0_52]) ).

cnf(c_0_63,negated_conjecture,
    ( esk6_0 = ia
    | esk3_0 != ia
    | ~ requalityOnA(esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( esk6_0 = ia
    | ib = esk6_0
    | esk4_0 = ia
    | esk4_0 = ib ),
    inference(spm,[status(thm)],[c_0_40,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ( cA(esk6_0)
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[c_0_33,c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    ( esk6_0 = ia
    | esk3_0 != ia ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_60]),c_0_63]) ).

cnf(c_0_67,plain,
    ( X1 = ib
    | ~ requalityOnA(X1,ib) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_68,negated_conjecture,
    ( esk4_0 = ia
    | ib = esk6_0
    | esk6_0 = ia
    | requalityOnA(esk3_0,ib) ),
    inference(spm,[status(thm)],[c_0_57,c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    ( esk6_0 = ia
    | ib = esk6_0
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[c_0_40,c_0_65]) ).

cnf(c_0_70,negated_conjecture,
    ( X1 = esk5_0
    | esk3_0 != ia
    | ~ requalityOnA(X1,ia) ),
    inference(spm,[status(thm)],[c_0_55,c_0_66]) ).

cnf(c_0_71,negated_conjecture,
    ( esk6_0 = ia
    | ib = esk6_0
    | esk4_0 = ia ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_72,negated_conjecture,
    ( esk3_0 != ia
    | ~ requalityOnA(ia,esk5_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    ( esk5_0 = ia
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[c_0_70,c_0_18]) ).

cnf(c_0_74,plain,
    ( X1 = ia
    | ~ requalityOnA(X1,ia) ),
    inference(spm,[status(thm)],[c_0_47,c_0_18]) ).

cnf(c_0_75,negated_conjecture,
    ( ib = esk6_0
    | esk6_0 = ia
    | requalityOnA(esk3_0,ia) ),
    inference(spm,[status(thm)],[c_0_57,c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    esk3_0 != ia,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_18])]) ).

cnf(c_0_77,negated_conjecture,
    ( esk6_0 = ia
    | ib = esk6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).

cnf(c_0_78,negated_conjecture,
    ( esk6_0 = ia
    | X1 = esk6_0
    | ~ requalityOnA(X1,esk6_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_77]) ).

cnf(c_0_79,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk6_0 = ia
    | requalityOnA(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_78,c_0_42]) ).

cnf(c_0_80,negated_conjecture,
    ( esk6_0 = ia
    | esk6_0 = esk5_0
    | cA(esk4_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_79]) ).

cnf(c_0_81,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk6_0 = ia
    | esk4_0 = ia
    | esk4_0 = ib ),
    inference(spm,[status(thm)],[c_0_40,c_0_80]) ).

cnf(c_0_82,negated_conjecture,
    ( esk4_0 = ia
    | esk6_0 = ia
    | esk6_0 = esk5_0
    | requalityOnA(esk3_0,ib) ),
    inference(spm,[status(thm)],[c_0_79,c_0_81]) ).

cnf(c_0_83,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk6_0 = ia
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[c_0_78,c_0_62]) ).

cnf(c_0_84,negated_conjecture,
    ( esk6_0 = ia
    | esk6_0 = esk5_0
    | X1 = esk3_0
    | ~ requalityOnA(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_79]) ).

cnf(c_0_85,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk6_0 = ia
    | esk4_0 = ia ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_82]),c_0_83]) ).

cnf(c_0_86,plain,
    ( cA(X1)
    | X1 != ib ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_87,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk6_0 = ia
    | X1 = esk3_0
    | ~ requalityOnA(X1,ia) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ requalityOnA(esk6_0,esk5_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_89,plain,
    cA(ib),
    inference(er,[status(thm)],[c_0_86]) ).

cnf(c_0_90,negated_conjecture,
    ( esk6_0 = ia
    | esk6_0 = esk5_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_18]),c_0_76]) ).

cnf(c_0_91,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ requalityOnA(esk6_0,esk5_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_92,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_93,negated_conjecture,
    ( esk6_0 = ia
    | cA(esk6_0) ),
    inference(spm,[status(thm)],[c_0_89,c_0_77]) ).

cnf(c_0_94,negated_conjecture,
    ( esk6_0 = ia
    | esk5_0 != ia ),
    inference(ef,[status(thm)],[c_0_90]) ).

cnf(c_0_95,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_96,negated_conjecture,
    ( xsd_integer(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_97,negated_conjecture,
    ( esk6_0 = ia
    | cA(esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_90]),c_0_94]) ).

cnf(c_0_98,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ requalityOnA(esk6_0,esk5_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_99,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_18])]),c_0_19]),c_0_96]) ).

cnf(c_0_100,negated_conjecture,
    ( esk6_0 = ia
    | ib = esk5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_97]),c_0_94]) ).

cnf(c_0_101,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ requalityOnA(esk6_0,esk5_0)
    | esk3_0 != ib
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_102,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_103,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_99]),c_0_96]) ).

cnf(c_0_104,negated_conjecture,
    ( esk6_0 = ia
    | requalityOnA(esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_100]) ).

cnf(c_0_105,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk3_0 != ib
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_106,negated_conjecture,
    ( xsd_string(esk2_0)
    | ib != esk3_0
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_18])]),c_0_19]),c_0_20]) ).

cnf(c_0_107,negated_conjecture,
    ( esk6_0 = ia
    | requalityOnA(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_90]),c_0_104]) ).

cnf(c_0_108,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ib != esk3_0
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_18])]),c_0_19]) ).

cnf(c_0_109,negated_conjecture,
    ( ib != esk3_0
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_106]) ).

cnf(c_0_110,negated_conjecture,
    ( esk6_0 = ia
    | cA(esk4_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_107]) ).

cnf(c_0_111,negated_conjecture,
    ( ib != esk3_0
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_108,c_0_106]),c_0_109]) ).

cnf(c_0_112,negated_conjecture,
    ( esk6_0 = ia
    | esk4_0 = ia
    | esk4_0 = ib ),
    inference(spm,[status(thm)],[c_0_40,c_0_110]) ).

cnf(c_0_113,negated_conjecture,
    ( esk6_0 = ia
    | ib != esk3_0
    | ~ requalityOnA(esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_90]) ).

cnf(c_0_114,negated_conjecture,
    ( esk4_0 = ia
    | esk6_0 = ia
    | requalityOnA(esk3_0,ib) ),
    inference(spm,[status(thm)],[c_0_107,c_0_112]) ).

cnf(c_0_115,negated_conjecture,
    ( esk6_0 = ia
    | ib != esk3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_90]),c_0_113]) ).

cnf(c_0_116,negated_conjecture,
    ( esk6_0 = ia
    | esk4_0 = ia ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_114]),c_0_115]) ).

cnf(c_0_117,negated_conjecture,
    ( esk6_0 = ia
    | requalityOnA(esk3_0,ia) ),
    inference(spm,[status(thm)],[c_0_107,c_0_116]) ).

cnf(c_0_118,negated_conjecture,
    esk6_0 = ia,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_117]),c_0_76]) ).

cnf(c_0_119,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,ia) ),
    inference(rw,[status(thm)],[c_0_42,c_0_118]) ).

cnf(c_0_120,negated_conjecture,
    ( esk5_0 = ia
    | requalityOnA(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_119]) ).

cnf(c_0_121,negated_conjecture,
    ( esk5_0 = ia
    | cA(esk4_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_120]) ).

cnf(c_0_122,negated_conjecture,
    ( esk5_0 = ia
    | esk4_0 = ia
    | esk4_0 = ib ),
    inference(spm,[status(thm)],[c_0_40,c_0_121]) ).

cnf(c_0_123,negated_conjecture,
    ( requalityOnA(esk5_0,ia)
    | ib != esk3_0 ),
    inference(rw,[status(thm)],[c_0_62,c_0_118]) ).

cnf(c_0_124,negated_conjecture,
    ( esk4_0 = ia
    | esk5_0 = ia
    | requalityOnA(esk3_0,ib) ),
    inference(spm,[status(thm)],[c_0_120,c_0_122]) ).

cnf(c_0_125,negated_conjecture,
    ( esk5_0 = ia
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[c_0_74,c_0_123]) ).

cnf(c_0_126,negated_conjecture,
    ( esk5_0 = ia
    | esk4_0 = ia ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_124]),c_0_125]) ).

cnf(c_0_127,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(ia,esk5_0) ),
    inference(rw,[status(thm)],[c_0_103,c_0_118]) ).

cnf(c_0_128,negated_conjecture,
    ( esk5_0 = ia
    | requalityOnA(esk3_0,ia) ),
    inference(spm,[status(thm)],[c_0_120,c_0_126]) ).

cnf(c_0_129,negated_conjecture,
    ( cA(esk4_0)
    | ~ requalityOnA(ia,esk5_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_127]) ).

cnf(c_0_130,negated_conjecture,
    esk5_0 = ia,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_128]),c_0_76]) ).

cnf(c_0_131,negated_conjecture,
    ( esk4_0 = ia
    | esk4_0 = ib
    | ~ requalityOnA(ia,esk5_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_129]) ).

cnf(c_0_132,negated_conjecture,
    requalityOnA(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_130]),c_0_18])]) ).

cnf(c_0_133,negated_conjecture,
    ( esk4_0 = ib
    | esk4_0 = ia ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_130]),c_0_18])]) ).

cnf(c_0_134,negated_conjecture,
    ( ib != esk3_0
    | ~ requalityOnA(ia,esk5_0) ),
    inference(rw,[status(thm)],[c_0_111,c_0_118]) ).

cnf(c_0_135,negated_conjecture,
    ( esk4_0 = ia
    | requalityOnA(esk3_0,ib) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_136,negated_conjecture,
    ib != esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_130]),c_0_18])]) ).

cnf(c_0_137,negated_conjecture,
    esk4_0 = ia,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_135]),c_0_136]) ).

cnf(c_0_138,negated_conjecture,
    requalityOnA(esk3_0,ia),
    inference(rw,[status(thm)],[c_0_132,c_0_137]) ).

cnf(c_0_139,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_138]),c_0_76]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS138+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 28 01:28:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.48/0.57  start to proof: theBenchmark
% 0.48/0.59  % Version  : CSE_E---1.5
% 0.48/0.59  % Problem  : theBenchmark.p
% 0.48/0.59  % Proof found
% 0.48/0.59  % SZS status Theorem for theBenchmark.p
% 0.48/0.59  % SZS output start Proof
% See solution above
% 0.48/0.60  % Total time : 0.019000 s
% 0.48/0.60  % SZS output end Proof
% 0.48/0.60  % Total time : 0.022000 s
%------------------------------------------------------------------------------