↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU339+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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  : 600s
% DateTime : Tue Jul 19 09:19:08 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   76 (  24 unt;   0 def)
%            Number of atoms       :  214 (  15 equ)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives :  229 (  91   ~;  86   |;  29   &)
%                                         (   4 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :  117 (  12 sgn  75   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t25_orders_2,conjecture,
    ! [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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t25_orders_2) ).

fof(d9_orders_2,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ! [X3] :
              ( element(X3,the_carrier(X1))
             => ( related(X1,X2,X3)
              <=> in(ordered_pair(X2,X3),the_InternalRel(X1)) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d9_orders_2) ).

fof(dt_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
     => element(X3,powerset(cartesian_product2(X1,X2))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_relset_1) ).

fof(dt_u1_orders_2,axiom,
    ! [X1] :
      ( rel_str(X1)
     => relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_orders_2) ).

fof(d4_relat_2,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2] :
          ( is_antisymmetric_in(X1,X2)
        <=> ! [X3,X4] :
              ( ( in(X3,X2)
                & in(X4,X2)
                & in(ordered_pair(X3,X4),X1)
                & in(ordered_pair(X4,X3),X1) )
             => X3 = X4 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_relat_2) ).

fof(cc1_relset_1,axiom,
    ! [X1,X2,X3] :
      ( element(X3,powerset(cartesian_product2(X1,X2)))
     => relation(X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_relset_1) ).

fof(d6_orders_2,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ( antisymmetric_relstr(X1)
      <=> is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d6_orders_2) ).

fof(t8_boole,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_boole) ).

fof(rc1_xboole_0,axiom,
    ? [X1] : empty(X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc1_xboole_0) ).

fof(t2_subset,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).

fof(t4_subset,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_subset) ).

fof(t5_subset,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_subset) ).

fof(existence_m1_subset_1,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',existence_m1_subset_1) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).

fof(t106_zfmisc_1,axiom,
    ! [X1,X2,X3,X4] :
      ( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
    <=> ( in(X1,X3)
        & in(X2,X4) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t106_zfmisc_1) ).

fof(c_0_15,negated_conjecture,
    ~ ! [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 ) ) ) ),
    inference(assume_negation,[status(cth)],[t25_orders_2]) ).

fof(c_0_16,plain,
    ! [X4,X5,X6] :
      ( ( ~ related(X4,X5,X6)
        | in(ordered_pair(X5,X6),the_InternalRel(X4))
        | ~ element(X6,the_carrier(X4))
        | ~ element(X5,the_carrier(X4))
        | ~ rel_str(X4) )
      & ( ~ in(ordered_pair(X5,X6),the_InternalRel(X4))
        | related(X4,X5,X6)
        | ~ element(X6,the_carrier(X4))
        | ~ element(X5,the_carrier(X4))
        | ~ rel_str(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_orders_2])])])])])]) ).

fof(c_0_17,negated_conjecture,
    ( antisymmetric_relstr(esk1_0)
    & rel_str(esk1_0)
    & element(esk2_0,the_carrier(esk1_0))
    & element(esk3_0,the_carrier(esk1_0))
    & related(esk1_0,esk2_0,esk3_0)
    & related(esk1_0,esk3_0,esk2_0)
    & esk2_0 != esk3_0 ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).

fof(c_0_18,plain,
    ! [X4,X5,X6] :
      ( ~ relation_of2_as_subset(X6,X4,X5)
      | element(X6,powerset(cartesian_product2(X4,X5))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ~ rel_str(X2)
      | relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).

fof(c_0_20,plain,
    ! [X5,X6,X7,X8,X6] :
      ( ( ~ is_antisymmetric_in(X5,X6)
        | ~ in(X7,X6)
        | ~ in(X8,X6)
        | ~ in(ordered_pair(X7,X8),X5)
        | ~ in(ordered_pair(X8,X7),X5)
        | X7 = X8
        | ~ relation(X5) )
      & ( in(esk9_2(X5,X6),X6)
        | is_antisymmetric_in(X5,X6)
        | ~ relation(X5) )
      & ( in(esk10_2(X5,X6),X6)
        | is_antisymmetric_in(X5,X6)
        | ~ relation(X5) )
      & ( in(ordered_pair(esk9_2(X5,X6),esk10_2(X5,X6)),X5)
        | is_antisymmetric_in(X5,X6)
        | ~ relation(X5) )
      & ( in(ordered_pair(esk10_2(X5,X6),esk9_2(X5,X6)),X5)
        | is_antisymmetric_in(X5,X6)
        | ~ relation(X5) )
      & ( esk9_2(X5,X6) != esk10_2(X5,X6)
        | is_antisymmetric_in(X5,X6)
        | ~ relation(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_2])])])])])])]) ).

cnf(c_0_21,plain,
    ( in(ordered_pair(X2,X3),the_InternalRel(X1))
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    related(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    rel_str(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    element(esk3_0,the_carrier(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    element(esk2_0,the_carrier(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    related(esk1_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_27,plain,
    ! [X4,X5,X6] :
      ( ~ element(X6,powerset(cartesian_product2(X4,X5)))
      | relation(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).

cnf(c_0_28,plain,
    ( element(X1,powerset(cartesian_product2(X2,X3)))
    | ~ relation_of2_as_subset(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,plain,
    ( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,plain,
    ( X2 = X3
    | ~ relation(X1)
    | ~ in(ordered_pair(X3,X2),X1)
    | ~ in(ordered_pair(X2,X3),X1)
    | ~ in(X3,X4)
    | ~ in(X2,X4)
    | ~ is_antisymmetric_in(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,negated_conjecture,
    in(ordered_pair(esk2_0,esk3_0),the_InternalRel(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_32,negated_conjecture,
    in(ordered_pair(esk3_0,esk2_0),the_InternalRel(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_26]),c_0_23]),c_0_25]),c_0_24])]) ).

cnf(c_0_33,negated_conjecture,
    esk2_0 != esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_34,plain,
    ( relation(X1)
    | ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_35,plain,
    ( element(the_InternalRel(X1),powerset(cartesian_product2(the_carrier(X1),the_carrier(X1))))
    | ~ rel_str(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

fof(c_0_36,plain,
    ! [X2] :
      ( ( ~ antisymmetric_relstr(X2)
        | is_antisymmetric_in(the_InternalRel(X2),the_carrier(X2))
        | ~ rel_str(X2) )
      & ( ~ is_antisymmetric_in(the_InternalRel(X2),the_carrier(X2))
        | antisymmetric_relstr(X2)
        | ~ rel_str(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_orders_2])])]) ).

fof(c_0_37,plain,
    ! [X3,X4] :
      ( ~ empty(X3)
      | X3 = X4
      | ~ empty(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).

fof(c_0_38,plain,
    empty(esk6_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).

fof(c_0_39,plain,
    ! [X3,X4] :
      ( ~ element(X3,X4)
      | empty(X4)
      | in(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ is_antisymmetric_in(the_InternalRel(esk1_0),X1)
    | ~ relation(the_InternalRel(esk1_0))
    | ~ in(esk2_0,X1)
    | ~ in(esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),c_0_33]) ).

cnf(c_0_41,plain,
    ( relation(the_InternalRel(X1))
    | ~ rel_str(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,plain,
    ( is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    antisymmetric_relstr(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_44,plain,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,plain,
    empty(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_46,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ is_antisymmetric_in(the_InternalRel(esk1_0),X1)
    | ~ in(esk2_0,X1)
    | ~ in(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_23])]) ).

cnf(c_0_48,negated_conjecture,
    is_antisymmetric_in(the_InternalRel(esk1_0),the_carrier(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_23])]) ).

cnf(c_0_49,plain,
    ( X1 = esk6_0
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    ( empty(the_carrier(esk1_0))
    | in(esk3_0,the_carrier(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_24]) ).

cnf(c_0_51,negated_conjecture,
    ( empty(the_carrier(esk1_0))
    | in(esk2_0,the_carrier(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_25]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ in(esk2_0,the_carrier(esk1_0))
    | ~ in(esk3_0,the_carrier(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    ( the_carrier(esk1_0) = esk6_0
    | in(esk3_0,the_carrier(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    ( the_carrier(esk1_0) = esk6_0
    | in(esk2_0,the_carrier(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_51]) ).

fof(c_0_55,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | element(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).

cnf(c_0_56,negated_conjecture,
    the_carrier(esk1_0) = esk6_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

fof(c_0_57,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | ~ empty(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).

fof(c_0_58,plain,
    ! [X3] : element(esk4_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).

fof(c_0_59,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ empty(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

cnf(c_0_60,plain,
    ( element(X1,X2)
    | ~ element(X3,powerset(X2))
    | ~ in(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_61,negated_conjecture,
    element(the_InternalRel(esk1_0),powerset(cartesian_product2(esk6_0,esk6_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_56]),c_0_23])]) ).

cnf(c_0_62,plain,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_63,plain,
    element(esk4_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_64,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    ( element(X1,cartesian_product2(esk6_0,esk6_0))
    | ~ in(X1,the_InternalRel(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ empty(cartesian_product2(esk6_0,esk6_0))
    | ~ in(X1,the_InternalRel(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_61]) ).

cnf(c_0_67,plain,
    ( empty(X1)
    | in(esk4_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    ~ empty(the_InternalRel(esk1_0)),
    inference(spm,[status(thm)],[c_0_64,c_0_32]) ).

fof(c_0_69,plain,
    ! [X5,X6,X7,X8,X5,X6,X7,X8] :
      ( ( in(X5,X7)
        | ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) )
      & ( in(X6,X8)
        | ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) )
      & ( ~ in(X5,X7)
        | ~ in(X6,X8)
        | in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_zfmisc_1])])])])]) ).

cnf(c_0_70,negated_conjecture,
    element(ordered_pair(esk3_0,esk2_0),cartesian_product2(esk6_0,esk6_0)),
    inference(spm,[status(thm)],[c_0_65,c_0_32]) ).

cnf(c_0_71,negated_conjecture,
    ~ empty(cartesian_product2(esk6_0,esk6_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_72,plain,
    ( in(X2,X4)
    | ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_73,negated_conjecture,
    in(ordered_pair(esk3_0,esk2_0),cartesian_product2(esk6_0,esk6_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_70]),c_0_71]) ).

cnf(c_0_74,negated_conjecture,
    in(esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_75,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_74]),c_0_45])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU339+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n018.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  : 600
% 0.12/0.33  % DateTime : Mon Jun 20 03:28:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.010 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 76
% 0.22/1.41  # Proof object clause steps            : 45
% 0.22/1.41  # Proof object formula steps           : 31
% 0.22/1.41  # Proof object conjectures             : 30
% 0.22/1.41  # Proof object clause conjectures      : 27
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 21
% 0.22/1.41  # Proof object initial formulas used   : 15
% 0.22/1.41  # Proof object generating inferences   : 24
% 0.22/1.41  # Proof object simplifying inferences  : 22
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 46
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 22
% 0.22/1.41  # Initial clauses                      : 41
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 41
% 0.22/1.41  # Processed clauses                    : 152
% 0.22/1.41  # ...of these trivial                  : 2
% 0.22/1.41  # ...subsumed                          : 31
% 0.22/1.41  # ...remaining for further processing  : 119
% 0.22/1.41  # Other redundant clauses eliminated   : 0
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 3
% 0.22/1.41  # Backward-rewritten                   : 18
% 0.22/1.41  # Generated clauses                    : 216
% 0.22/1.41  # ...of the previous two non-trivial   : 200
% 0.22/1.41  # Contextual simplify-reflections      : 7
% 0.22/1.41  # Paramodulations                      : 216
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 98
% 0.22/1.41  #    Positive orientable unit clauses  : 33
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 9
% 0.22/1.41  #    Non-unit-clauses                  : 56
% 0.22/1.41  # Current number of unprocessed clauses: 73
% 0.22/1.41  # ...number of literals in the above   : 221
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 21
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 779
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 630
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 28
% 0.22/1.41  # Unit Clause-clause subsumption calls : 182
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 5
% 0.22/1.41  # BW rewrite match successes           : 5
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 5057
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.014 s
% 0.22/1.41  # System time              : 0.001 s
% 0.22/1.41  # Total time               : 0.015 s
% 0.22/1.41  # Maximum resident set size: 3304 pages
% 0.22/23.41  eprover: CPU time limit exceeded, terminating
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------