%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 16:24:55 EDT 2023

% Result   : Theorem 1.03s 1.15s
% Output   : CNFRefutation 1.13s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

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

tff(decl_24,type,
    the_carrier: $i > $i ).

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

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

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

tff(decl_28,type,
    one_sorted_str: $i > $o ).

tff(decl_29,type,
    antisymmetric_relstr: $i > $o ).

tff(decl_30,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_31,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_32,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_33,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_34,type,
    esk5_0: $i ).

tff(decl_35,type,
    esk6_0: $i ).

tff(decl_36,type,
    esk7_1: $i > $i ).

tff(decl_37,type,
    esk8_0: $i ).

tff(decl_38,type,
    esk9_0: $i ).

tff(decl_39,type,
    esk10_1: $i > $i ).

tff(decl_40,type,
    esk11_0: $i ).

fof(t16_yellow_0,conjecture,
    ! [X1] :
      ( ( antisymmetric_relstr(X1)
        & rel_str(X1) )
     => ! [X2] :
          ( ex_inf_of_relstr_set(X1,X2)
        <=> ? [X3] :
              ( element(X3,the_carrier(X1))
              & relstr_element_smaller(X1,X2,X3)
              & ! [X4] :
                  ( element(X4,the_carrier(X1))
                 => ( relstr_element_smaller(X1,X2,X4)
                   => related(X1,X4,X3) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_yellow_0) ).

fof(d8_yellow_0,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2] :
          ( ex_inf_of_relstr_set(X1,X2)
        <=> ? [X3] :
              ( element(X3,the_carrier(X1))
              & relstr_element_smaller(X1,X2,X3)
              & ! [X4] :
                  ( element(X4,the_carrier(X1))
                 => ( relstr_element_smaller(X1,X2,X4)
                   => related(X1,X4,X3) ) )
              & ! [X4] :
                  ( element(X4,the_carrier(X1))
                 => ( ( relstr_element_smaller(X1,X2,X4)
                      & ! [X5] :
                          ( element(X5,the_carrier(X1))
                         => ( relstr_element_smaller(X1,X2,X5)
                           => related(X1,X5,X4) ) ) )
                   => X4 = X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_yellow_0) ).

fof(t25_orders_2,axiom,
    ! [X1] :
      ( ( antisymmetric_relstr(X1)
        & rel_str(X1) )
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( ( related(X1,X2,X3)
                  & related(X1,X3,X2) )
               => X2 = X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_orders_2) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
        ( ( antisymmetric_relstr(X1)
          & rel_str(X1) )
       => ! [X2] :
            ( ex_inf_of_relstr_set(X1,X2)
          <=> ? [X3] :
                ( element(X3,the_carrier(X1))
                & relstr_element_smaller(X1,X2,X3)
                & ! [X4] :
                    ( element(X4,the_carrier(X1))
                   => ( relstr_element_smaller(X1,X2,X4)
                     => related(X1,X4,X3) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t16_yellow_0]) ).

fof(c_0_4,negated_conjecture,
    ! [X24,X27] :
      ( antisymmetric_relstr(esk8_0)
      & rel_str(esk8_0)
      & ( element(esk10_1(X24),the_carrier(esk8_0))
        | ~ element(X24,the_carrier(esk8_0))
        | ~ relstr_element_smaller(esk8_0,esk9_0,X24)
        | ~ ex_inf_of_relstr_set(esk8_0,esk9_0) )
      & ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X24))
        | ~ element(X24,the_carrier(esk8_0))
        | ~ relstr_element_smaller(esk8_0,esk9_0,X24)
        | ~ ex_inf_of_relstr_set(esk8_0,esk9_0) )
      & ( ~ related(esk8_0,esk10_1(X24),X24)
        | ~ element(X24,the_carrier(esk8_0))
        | ~ relstr_element_smaller(esk8_0,esk9_0,X24)
        | ~ ex_inf_of_relstr_set(esk8_0,esk9_0) )
      & ( element(esk11_0,the_carrier(esk8_0))
        | ex_inf_of_relstr_set(esk8_0,esk9_0) )
      & ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
        | ex_inf_of_relstr_set(esk8_0,esk9_0) )
      & ( ~ element(X27,the_carrier(esk8_0))
        | ~ relstr_element_smaller(esk8_0,esk9_0,X27)
        | related(esk8_0,X27,esk11_0)
        | ex_inf_of_relstr_set(esk8_0,esk9_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_3])])])])]) ).

fof(c_0_5,plain,
    ! [X6,X7,X9,X10,X12,X13,X16] :
      ( ( element(esk1_2(X6,X7),the_carrier(X6))
        | ~ ex_inf_of_relstr_set(X6,X7)
        | ~ rel_str(X6) )
      & ( relstr_element_smaller(X6,X7,esk1_2(X6,X7))
        | ~ ex_inf_of_relstr_set(X6,X7)
        | ~ rel_str(X6) )
      & ( ~ element(X9,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X7,X9)
        | related(X6,X9,esk1_2(X6,X7))
        | ~ ex_inf_of_relstr_set(X6,X7)
        | ~ rel_str(X6) )
      & ( element(esk2_3(X6,X7,X10),the_carrier(X6))
        | ~ relstr_element_smaller(X6,X7,X10)
        | X10 = esk1_2(X6,X7)
        | ~ element(X10,the_carrier(X6))
        | ~ ex_inf_of_relstr_set(X6,X7)
        | ~ rel_str(X6) )
      & ( relstr_element_smaller(X6,X7,esk2_3(X6,X7,X10))
        | ~ relstr_element_smaller(X6,X7,X10)
        | X10 = esk1_2(X6,X7)
        | ~ element(X10,the_carrier(X6))
        | ~ ex_inf_of_relstr_set(X6,X7)
        | ~ rel_str(X6) )
      & ( ~ related(X6,esk2_3(X6,X7,X10),X10)
        | ~ relstr_element_smaller(X6,X7,X10)
        | X10 = esk1_2(X6,X7)
        | ~ element(X10,the_carrier(X6))
        | ~ ex_inf_of_relstr_set(X6,X7)
        | ~ rel_str(X6) )
      & ( element(esk4_3(X6,X12,X13),the_carrier(X6))
        | element(esk3_3(X6,X12,X13),the_carrier(X6))
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( relstr_element_smaller(X6,X12,esk4_3(X6,X12,X13))
        | element(esk3_3(X6,X12,X13),the_carrier(X6))
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( ~ element(X16,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X16)
        | related(X6,X16,esk4_3(X6,X12,X13))
        | element(esk3_3(X6,X12,X13),the_carrier(X6))
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( esk4_3(X6,X12,X13) != X13
        | element(esk3_3(X6,X12,X13),the_carrier(X6))
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( element(esk4_3(X6,X12,X13),the_carrier(X6))
        | relstr_element_smaller(X6,X12,esk3_3(X6,X12,X13))
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( relstr_element_smaller(X6,X12,esk4_3(X6,X12,X13))
        | relstr_element_smaller(X6,X12,esk3_3(X6,X12,X13))
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( ~ element(X16,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X16)
        | related(X6,X16,esk4_3(X6,X12,X13))
        | relstr_element_smaller(X6,X12,esk3_3(X6,X12,X13))
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( esk4_3(X6,X12,X13) != X13
        | relstr_element_smaller(X6,X12,esk3_3(X6,X12,X13))
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( element(esk4_3(X6,X12,X13),the_carrier(X6))
        | ~ related(X6,esk3_3(X6,X12,X13),X13)
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( relstr_element_smaller(X6,X12,esk4_3(X6,X12,X13))
        | ~ related(X6,esk3_3(X6,X12,X13),X13)
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( ~ element(X16,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X16)
        | related(X6,X16,esk4_3(X6,X12,X13))
        | ~ related(X6,esk3_3(X6,X12,X13),X13)
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) )
      & ( esk4_3(X6,X12,X13) != X13
        | ~ related(X6,esk3_3(X6,X12,X13),X13)
        | ~ element(X13,the_carrier(X6))
        | ~ relstr_element_smaller(X6,X12,X13)
        | ex_inf_of_relstr_set(X6,X12)
        | ~ rel_str(X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_yellow_0])])])])])]) ).

cnf(c_0_6,negated_conjecture,
    ( element(esk10_1(X1),the_carrier(esk8_0))
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( element(esk11_0,the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( relstr_element_smaller(X1,X2,esk1_2(X1,X2))
    | ~ ex_inf_of_relstr_set(X1,X2)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    rel_str(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( element(esk1_2(X1,X2),the_carrier(X1))
    | ~ ex_inf_of_relstr_set(X1,X2)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    ( element(esk10_1(X1),the_carrier(esk8_0))
    | element(esk11_0,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_9])]) ).

cnf(c_0_13,negated_conjecture,
    ( element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_7]),c_0_9])]) ).

cnf(c_0_14,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ related(esk8_0,esk10_1(X1),X1)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,plain,
    ( related(X2,X1,esk1_2(X2,X3))
    | ~ element(X1,the_carrier(X2))
    | ~ relstr_element_smaller(X2,X3,X1)
    | ~ ex_inf_of_relstr_set(X2,X3)
    | ~ rel_str(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | element(esk11_0,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_7]) ).

cnf(c_0_19,negated_conjecture,
    ( element(esk11_0,the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_7]) ).

cnf(c_0_20,negated_conjecture,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,X1))
    | element(esk11_0,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,esk9_0)))
    | ~ ex_inf_of_relstr_set(esk8_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_9])]) ).

cnf(c_0_21,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_13]) ).

cnf(c_0_22,negated_conjecture,
    ( element(esk11_0,the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_13]) ).

cnf(c_0_23,plain,
    ( element(esk4_3(X1,X2,X3),the_carrier(X1))
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | ex_inf_of_relstr_set(X1,X2)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_24,negated_conjecture,
    element(esk11_0,the_carrier(esk8_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_7]),c_0_21]),c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_26,plain,
    ( element(esk4_3(X1,X2,X3),the_carrier(X1))
    | element(esk3_3(X1,X2,X3),the_carrier(X1))
    | ex_inf_of_relstr_set(X1,X2)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_27,negated_conjecture,
    ( relstr_element_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
    | element(esk4_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,X1)
    | ~ relstr_element_smaller(esk8_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_9])]) ).

cnf(c_0_28,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_25]),c_0_9])]) ).

cnf(c_0_29,negated_conjecture,
    ( element(esk4_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,X1)
    | ~ relstr_element_smaller(esk8_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_9])]) ).

cnf(c_0_30,plain,
    ( element(esk4_3(X1,X2,X3),the_carrier(X1))
    | ex_inf_of_relstr_set(X1,X2)
    | ~ related(X1,esk3_3(X1,X2,X3),X3)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_31,plain,
    ( relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | element(esk3_3(X1,X2,X3),the_carrier(X1))
    | ex_inf_of_relstr_set(X1,X2)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_32,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( element(esk4_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,X1)
    | ~ related(esk8_0,esk3_3(esk8_0,X1,esk11_0),esk11_0)
    | ~ relstr_element_smaller(esk8_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_9])]) ).

cnf(c_0_35,plain,
    ( related(X2,X1,esk4_3(X2,X3,X4))
    | element(esk3_3(X2,X3,X4),the_carrier(X2))
    | ex_inf_of_relstr_set(X2,X3)
    | ~ element(X1,the_carrier(X2))
    | ~ relstr_element_smaller(X2,X3,X1)
    | ~ element(X4,the_carrier(X2))
    | ~ relstr_element_smaller(X2,X3,X4)
    | ~ rel_str(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_36,negated_conjecture,
    ( relstr_element_smaller(esk8_0,X1,esk4_3(esk8_0,X1,esk11_0))
    | element(esk3_3(esk8_0,X1,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,X1)
    | ~ relstr_element_smaller(esk8_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_24]),c_0_9])]) ).

cnf(c_0_37,negated_conjecture,
    ( related(esk8_0,X1,esk11_0)
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_38,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_32]),c_0_9])]) ).

cnf(c_0_39,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_33]),c_0_9])]) ).

cnf(c_0_40,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_28]) ).

fof(c_0_41,plain,
    ! [X28,X29,X30] :
      ( ~ antisymmetric_relstr(X28)
      | ~ rel_str(X28)
      | ~ element(X29,the_carrier(X28))
      | ~ element(X30,the_carrier(X28))
      | ~ related(X28,X29,X30)
      | ~ related(X28,X30,X29)
      | X29 = X30 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_orders_2])])]) ).

cnf(c_0_42,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,X2,esk11_0))
    | element(esk3_3(esk8_0,X2,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,X2)
    | ~ relstr_element_smaller(esk8_0,X2,esk11_0)
    | ~ relstr_element_smaller(esk8_0,X2,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_24]),c_0_9])]) ).

cnf(c_0_43,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_28]) ).

cnf(c_0_44,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]) ).

cnf(c_0_45,plain,
    ( X2 = X3
    | ~ antisymmetric_relstr(X1)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,X2,X3)
    | ~ related(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    antisymmetric_relstr(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_47,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_28]) ).

cnf(c_0_48,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_43]),c_0_9])]) ).

cnf(c_0_49,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_44]),c_0_9])]) ).

cnf(c_0_50,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_25]) ).

cnf(c_0_51,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_25]),c_0_9])]) ).

cnf(c_0_52,negated_conjecture,
    ( X1 = esk11_0
    | ~ related(esk8_0,esk11_0,X1)
    | ~ related(esk8_0,X1,esk11_0)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_24]),c_0_46]),c_0_9])]) ).

cnf(c_0_53,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_28]),c_0_24])]) ).

cnf(c_0_54,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_28]) ).

cnf(c_0_56,plain,
    ( element(esk3_3(X1,X2,X3),the_carrier(X1))
    | ex_inf_of_relstr_set(X1,X2)
    | esk4_3(X1,X2,X3) != X3
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_57,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_49]),c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_24]),c_0_9])]),c_0_25]) ).

cnf(c_0_61,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_58]) ).

cnf(c_0_62,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_58]),c_0_9])]) ).

cnf(c_0_63,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_59]),c_0_9])]) ).

cnf(c_0_65,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_60]),c_0_9])]) ).

cnf(c_0_66,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_49]) ).

cnf(c_0_67,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).

cnf(c_0_68,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_55]) ).

cnf(c_0_69,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_66]),c_0_67]),c_0_68]) ).

cnf(c_0_70,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_69]) ).

cnf(c_0_71,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_69]),c_0_9])]) ).

cnf(c_0_72,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_49]) ).

cnf(c_0_73,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_25]) ).

cnf(c_0_74,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_25]) ).

cnf(c_0_75,negated_conjecture,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,X1))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,esk9_0)))
    | ~ ex_inf_of_relstr_set(esk8_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_72]),c_0_9])]) ).

cnf(c_0_76,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_49]),c_0_51]) ).

cnf(c_0_77,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_49]),c_0_51]) ).

cnf(c_0_78,plain,
    ( relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | ex_inf_of_relstr_set(X1,X2)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_79,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_25]),c_0_76]),c_0_77]) ).

cnf(c_0_80,plain,
    ( related(X2,X1,esk4_3(X2,X3,X4))
    | relstr_element_smaller(X2,X3,esk3_3(X2,X3,X4))
    | ex_inf_of_relstr_set(X2,X3)
    | ~ element(X1,the_carrier(X2))
    | ~ relstr_element_smaller(X2,X3,X1)
    | ~ element(X4,the_carrier(X2))
    | ~ relstr_element_smaller(X2,X3,X4)
    | ~ rel_str(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_81,negated_conjecture,
    ( relstr_element_smaller(esk8_0,X1,esk4_3(esk8_0,X1,esk11_0))
    | relstr_element_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,X1)
    | ~ relstr_element_smaller(esk8_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_24]),c_0_9])]) ).

cnf(c_0_82,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_79]) ).

cnf(c_0_83,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_79]) ).

cnf(c_0_84,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,X2,esk11_0))
    | relstr_element_smaller(esk8_0,X2,esk3_3(esk8_0,X2,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,X2)
    | ~ relstr_element_smaller(esk8_0,X2,esk11_0)
    | ~ relstr_element_smaller(esk8_0,X2,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_24]),c_0_9])]) ).

cnf(c_0_85,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_28]) ).

cnf(c_0_86,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_82]) ).

cnf(c_0_87,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_82]),c_0_9])]) ).

cnf(c_0_88,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_82]) ).

cnf(c_0_89,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_83]),c_0_9])]) ).

cnf(c_0_91,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_83]) ).

cnf(c_0_92,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,X1,esk11_0))
    | relstr_element_smaller(esk8_0,X1,esk3_3(esk8_0,X1,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,X1)
    | ~ relstr_element_smaller(esk8_0,X1,esk11_0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_24]) ).

cnf(c_0_93,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_85]),c_0_9])]) ).

cnf(c_0_94,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_49]),c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_87]),c_0_49]) ).

cnf(c_0_96,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_49]) ).

cnf(c_0_97,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_90]),c_0_49]) ).

cnf(c_0_98,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_92,c_0_28]) ).

cnf(c_0_99,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_93]),c_0_49]) ).

cnf(c_0_100,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_82]),c_0_94]),c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_83]),c_0_96]),c_0_97]) ).

cnf(c_0_102,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_79]) ).

cnf(c_0_103,plain,
    ( relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | ex_inf_of_relstr_set(X1,X2)
    | esk4_3(X1,X2,X3) != X3
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_104,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_98]),c_0_49]),c_0_99]) ).

cnf(c_0_105,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_100]),c_0_101]),c_0_102]) ).

cnf(c_0_106,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_55]) ).

cnf(c_0_107,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_24]),c_0_9])]),c_0_25]) ).

cnf(c_0_108,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_105]) ).

cnf(c_0_109,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_105]),c_0_9])]) ).

cnf(c_0_110,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_55]) ).

cnf(c_0_112,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_106]),c_0_9])]) ).

cnf(c_0_114,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_107]),c_0_9])]) ).

cnf(c_0_115,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_49]) ).

cnf(c_0_116,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_109]),c_0_49]) ).

cnf(c_0_117,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_55]) ).

cnf(c_0_118,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_111]) ).

cnf(c_0_119,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_111]),c_0_9])]) ).

cnf(c_0_120,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_92,c_0_55]) ).

cnf(c_0_121,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).

cnf(c_0_122,negated_conjecture,
    element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_105]),c_0_115]),c_0_116]) ).

cnf(c_0_123,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_55]),c_0_24])]) ).

cnf(c_0_124,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_65]) ).

cnf(c_0_125,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_120]),c_0_72]) ).

cnf(c_0_126,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_121]),c_0_122])]) ).

cnf(c_0_127,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_123]),c_0_72]) ).

cnf(c_0_128,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_124]),c_0_122])]) ).

cnf(c_0_129,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_130,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_131,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_129]),c_0_24]),c_0_9])]),c_0_25]) ).

cnf(c_0_132,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_130]),c_0_24]),c_0_9])]),c_0_25]) ).

cnf(c_0_133,plain,
    ( related(X2,X1,esk4_3(X2,X3,X4))
    | ex_inf_of_relstr_set(X2,X3)
    | ~ element(X1,the_carrier(X2))
    | ~ relstr_element_smaller(X2,X3,X1)
    | ~ related(X2,esk3_3(X2,X3,X4),X4)
    | ~ element(X4,the_carrier(X2))
    | ~ relstr_element_smaller(X2,X3,X4)
    | ~ rel_str(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_134,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_131]) ).

cnf(c_0_135,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_131]),c_0_9])]) ).

cnf(c_0_136,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_132]) ).

cnf(c_0_137,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_132]),c_0_9])]) ).

cnf(c_0_138,plain,
    ( relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | ex_inf_of_relstr_set(X1,X2)
    | ~ related(X1,esk3_3(X1,X2,X3),X3)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_139,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,X2,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,X2)
    | ~ related(esk8_0,esk3_3(esk8_0,X2,esk11_0),esk11_0)
    | ~ relstr_element_smaller(esk8_0,X2,esk11_0)
    | ~ relstr_element_smaller(esk8_0,X2,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_24]),c_0_9])]) ).

cnf(c_0_140,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_114]) ).

cnf(c_0_141,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_65]) ).

cnf(c_0_142,negated_conjecture,
    ( relstr_element_smaller(esk8_0,X1,esk4_3(esk8_0,X1,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,X1)
    | ~ related(esk8_0,esk3_3(esk8_0,X1,esk11_0),esk11_0)
    | ~ relstr_element_smaller(esk8_0,X1,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_24]),c_0_9])]) ).

cnf(c_0_143,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_139,c_0_55]) ).

cnf(c_0_144,negated_conjecture,
    ( related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_140]),c_0_141]) ).

cnf(c_0_145,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_55]) ).

cnf(c_0_146,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_147,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_145,c_0_144]) ).

cnf(c_0_148,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_55]),c_0_24])]) ).

cnf(c_0_149,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_147]),c_0_9])]) ).

cnf(c_0_150,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_148]),c_0_122])]) ).

cnf(c_0_151,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_149]),c_0_122])]) ).

cnf(c_0_152,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | esk4_3(X1,X2,X3) != X3
    | ~ related(X1,esk3_3(X1,X2,X3),X3)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_153,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_154,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_24]),c_0_9])]),c_0_25]),c_0_144]) ).

cnf(c_0_155,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_147]) ).

cnf(c_0_156,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_147]),c_0_9])]) ).

cnf(c_0_157,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_154]),c_0_9])]) ).

cnf(c_0_158,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).

cnf(c_0_159,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_158]),c_0_122])]) ).

cnf(c_0_160,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_159]) ).

cnf(c_0_161,negated_conjecture,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,X1))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,esk9_0)))
    | ~ ex_inf_of_relstr_set(esk8_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_141]),c_0_9])]) ).

cnf(c_0_162,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_65]),c_0_51]) ).

cnf(c_0_163,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_65]),c_0_51]) ).

cnf(c_0_164,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_160]),c_0_24]),c_0_9])]),c_0_25]),c_0_144]) ).

cnf(c_0_165,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_25]),c_0_162]),c_0_163]) ).

cnf(c_0_166,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk10_1(X1),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_6,c_0_164]) ).

cnf(c_0_167,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_164]),c_0_9])]) ).

cnf(c_0_168,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_165]) ).

cnf(c_0_169,negated_conjecture,
    element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_157]) ).

cnf(c_0_170,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_168]) ).

cnf(c_0_171,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_168]),c_0_9])]) ).

cnf(c_0_172,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_168]) ).

cnf(c_0_173,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_165]) ).

cnf(c_0_174,negated_conjecture,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,X1))
    | ~ relstr_element_smaller(esk8_0,X1,esk10_1(esk1_2(esk8_0,esk9_0)))
    | ~ ex_inf_of_relstr_set(esk8_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_169]),c_0_9])]) ).

cnf(c_0_175,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_65]),c_0_171]) ).

cnf(c_0_176,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_171]),c_0_65]) ).

cnf(c_0_177,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_165]),c_0_24])]) ).

cnf(c_0_178,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_168]),c_0_175]),c_0_176]) ).

cnf(c_0_179,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_177]),c_0_122])]) ).

cnf(c_0_180,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_178]),c_0_122])]) ).

cnf(c_0_181,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_182,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_181]),c_0_24]),c_0_9])]),c_0_25]) ).

cnf(c_0_183,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_182]) ).

cnf(c_0_184,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_182]),c_0_9])]) ).

cnf(c_0_185,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_182]) ).

cnf(c_0_186,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_65]) ).

cnf(c_0_187,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_184]),c_0_65]) ).

cnf(c_0_188,negated_conjecture,
    ( related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_114]) ).

cnf(c_0_189,negated_conjecture,
    element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_182]),c_0_186]),c_0_187]) ).

cnf(c_0_190,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_28]) ).

cnf(c_0_191,negated_conjecture,
    ( related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_189])]) ).

cnf(c_0_192,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_193,negated_conjecture,
    ( X1 = esk4_3(esk8_0,esk9_0,esk11_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),X1)
    | ~ related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_122]),c_0_46]),c_0_9])]) ).

cnf(c_0_194,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_192]),c_0_9])]) ).

cnf(c_0_195,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_139,c_0_28]) ).

cnf(c_0_196,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
    inference(spm,[status(thm)],[c_0_193,c_0_24]) ).

cnf(c_0_197,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_194]),c_0_122])]) ).

cnf(c_0_198,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_195,c_0_191]) ).

cnf(c_0_199,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_200,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_28]),c_0_24])]) ).

cnf(c_0_201,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_202,negated_conjecture,
    ( element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_201]),c_0_24]),c_0_9])]),c_0_25]),c_0_191]) ).

cnf(c_0_203,negated_conjecture,
    element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_202]),c_0_9])]) ).

cnf(c_0_204,negated_conjecture,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))) ),
    inference(spm,[status(thm)],[c_0_174,c_0_25]) ).

cnf(c_0_205,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_203]),c_0_51]) ).

cnf(c_0_206,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_203]),c_0_51]) ).

cnf(c_0_207,negated_conjecture,
    relstr_element_smaller(esk8_0,esk9_0,esk11_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]) ).

cnf(c_0_208,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_207]) ).

cnf(c_0_209,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_208]) ).

cnf(c_0_210,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_208]),c_0_9])]) ).

cnf(c_0_211,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_203]),c_0_210]) ).

cnf(c_0_212,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_208]) ).

cnf(c_0_213,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_208]),c_0_211]) ).

cnf(c_0_214,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_92,c_0_207]) ).

cnf(c_0_215,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_203]),c_0_210]),c_0_213]) ).

cnf(c_0_216,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_214]),c_0_122])]) ).

cnf(c_0_217,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_215]),c_0_122])]) ).

cnf(c_0_218,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_219,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_218]),c_0_207]),c_0_24]),c_0_9])]) ).

cnf(c_0_220,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_219]) ).

cnf(c_0_221,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_219]),c_0_9])]) ).

cnf(c_0_222,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_219]) ).

cnf(c_0_223,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_203]),c_0_221]) ).

cnf(c_0_224,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_203]),c_0_221]) ).

cnf(c_0_225,negated_conjecture,
    relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_219]),c_0_223]),c_0_224]) ).

cnf(c_0_226,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_207]) ).

cnf(c_0_227,negated_conjecture,
    ( related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_225]),c_0_189])]) ).

cnf(c_0_228,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_229,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_139,c_0_207]) ).

cnf(c_0_230,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_228]) ).

cnf(c_0_231,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_228]),c_0_9])]) ).

cnf(c_0_232,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_228]) ).

cnf(c_0_233,negated_conjecture,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(spm,[status(thm)],[c_0_229,c_0_227]) ).

cnf(c_0_234,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_203]),c_0_231]) ).

cnf(c_0_235,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_203]),c_0_231]) ).

cnf(c_0_236,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_207]),c_0_24])]) ).

cnf(c_0_237,negated_conjecture,
    relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_228]),c_0_234]),c_0_235]) ).

cnf(c_0_238,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_236]),c_0_122])]) ).

cnf(c_0_239,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_237]),c_0_122])]) ).

cnf(c_0_240,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_241,negated_conjecture,
    ex_inf_of_relstr_set(esk8_0,esk9_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_240]),c_0_207]),c_0_24]),c_0_9])]),c_0_227]) ).

cnf(c_0_242,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_241])]) ).

cnf(c_0_243,negated_conjecture,
    relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_241]),c_0_9])]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_241])]) ).

cnf(c_0_245,negated_conjecture,
    relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_203]),c_0_243])]) ).

cnf(c_0_246,negated_conjecture,
    ~ related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_243]),c_0_203])]) ).

cnf(c_0_247,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_241]),c_0_245])]),c_0_246]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32  % Computer : n029.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Thu Aug 24 01:09:23 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.17/0.55  start to proof: theBenchmark
% 1.03/1.15  % Version  : CSE_E---1.5
% 1.03/1.15  % Problem  : theBenchmark.p
% 1.03/1.15  % Proof found
% 1.03/1.15  % SZS status Theorem for theBenchmark.p
% 1.03/1.15  % SZS output start Proof
% See solution above
% 1.13/1.16  % Total time : 0.582000 s
% 1.13/1.16  % SZS output end Proof
% 1.13/1.16  % Total time : 0.587000 s
%------------------------------------------------------------------------------