TSTP Solution File: SWB089+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB089+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 19:02:15 EDT 2022

% Result   : Theorem 0.71s 67.89s
% Output   : CNFRefutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   55 (  16 unt;   0 def)
%            Number of atoms       :  208 (   9 equ)
%            Maximal formula atoms :   34 (   3 avg)
%            Number of connectives :  249 (  96   ~; 116   |;  28   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-4 aty)
%            Number of variables   :   95 (   4 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_restrict_maxqcr_object_001,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_maxQualifiedCardinality,X11,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,X11,X2)
        & iext(uri_owl_onClass,X11,X5) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ! [X27,X28] :
              ( ( iext(X2,X4,X27)
                & icext(X5,X27)
                & iext(X2,X4,X28)
                & icext(X5,X28) )
             => X28 = X27 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_restrict_maxqcr_object_001) ).

fof(premise_rdfbased_sem_restrict_maxqcr_cmp_class,axiom,
    ( iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_x2,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c2,uri_ex_c1)
    & iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_x1,uri_ex_c1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',premise_rdfbased_sem_restrict_maxqcr_cmp_class) ).

fof(rdfs_subclassof_main,axiom,
    ! [X5,X6] :
      ( iext(uri_rdfs_subClassOf,X5,X6)
     => ( ic(X5)
        & ic(X6)
        & ! [X4] :
            ( icext(X5,X4)
           => icext(X6,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_subclassof_main) ).

fof(owl_prop_onclass_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_onClass,X4,X7)
     => ( icext(uri_owl_Restriction,X4)
        & ic(X7) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_onclass_ext) ).

fof(owl_class_restriction_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Restriction,X4)
     => ic(X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_restriction_ext) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X13,X15] :
      ( iext(uri_rdfs_subClassOf,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ( icext(X13,X4)
           => icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(conclusion_rdfbased_sem_restrict_maxqcr_cmp_class,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conclusion_rdfbased_sem_restrict_maxqcr_cmp_class) ).

fof(c_0_7,plain,
    ! [X29,X30,X31,X32,X33,X34,X32] :
      ( ( ~ icext(X29,X32)
        | ~ iext(X30,X32,X33)
        | ~ icext(X31,X33)
        | ~ iext(X30,X32,X34)
        | ~ icext(X31,X34)
        | X34 = X33
        | ~ iext(uri_owl_maxQualifiedCardinality,X29,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X29,X30)
        | ~ iext(uri_owl_onClass,X29,X31) )
      & ( iext(X30,X32,esk25_4(X29,X30,X31,X32))
        | icext(X29,X32)
        | ~ iext(uri_owl_maxQualifiedCardinality,X29,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X29,X30)
        | ~ iext(uri_owl_onClass,X29,X31) )
      & ( icext(X31,esk25_4(X29,X30,X31,X32))
        | icext(X29,X32)
        | ~ iext(uri_owl_maxQualifiedCardinality,X29,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X29,X30)
        | ~ iext(uri_owl_onClass,X29,X31) )
      & ( iext(X30,X32,esk26_4(X29,X30,X31,X32))
        | icext(X29,X32)
        | ~ iext(uri_owl_maxQualifiedCardinality,X29,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X29,X30)
        | ~ iext(uri_owl_onClass,X29,X31) )
      & ( icext(X31,esk26_4(X29,X30,X31,X32))
        | icext(X29,X32)
        | ~ iext(uri_owl_maxQualifiedCardinality,X29,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X29,X30)
        | ~ iext(uri_owl_onClass,X29,X31) )
      & ( esk26_4(X29,X30,X31,X32) != esk25_4(X29,X30,X31,X32)
        | icext(X29,X32)
        | ~ iext(uri_owl_maxQualifiedCardinality,X29,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X29,X30)
        | ~ iext(uri_owl_onClass,X29,X31) ) ),
    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)],[owl_restrict_maxqcr_object_001])])])])])])]) ).

cnf(c_0_8,plain,
    ( icext(X1,X4)
    | iext(X3,X4,esk25_4(X1,X3,X2,X4))
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_maxQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_9,plain,
    iext(uri_owl_onClass,uri_ex_x2,uri_ex_c2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_maxqcr_cmp_class]) ).

cnf(c_0_10,plain,
    iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_maxqcr_cmp_class]) ).

fof(c_0_11,plain,
    ! [X7,X8,X9] :
      ( ( ic(X7)
        | ~ iext(uri_rdfs_subClassOf,X7,X8) )
      & ( ic(X8)
        | ~ iext(uri_rdfs_subClassOf,X7,X8) )
      & ( ~ icext(X7,X9)
        | icext(X8,X9)
        | ~ iext(uri_rdfs_subClassOf,X7,X8) ) ),
    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)],[rdfs_subclassof_main])])])])])]) ).

cnf(c_0_12,plain,
    ( icext(X1,X4)
    | icext(X2,esk25_4(X1,X3,X2,X4))
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_maxQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    ( icext(uri_ex_x2,X1)
    | iext(X2,X1,esk25_4(uri_ex_x2,X2,uri_ex_c2,X1))
    | ~ iext(uri_owl_onProperty,uri_ex_x2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_14,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_maxqcr_cmp_class]) ).

cnf(c_0_15,plain,
    ( icext(X2,X3)
    | ~ iext(uri_rdfs_subClassOf,X1,X2)
    | ~ icext(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c2,uri_ex_c1),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_maxqcr_cmp_class]) ).

cnf(c_0_17,plain,
    ( icext(uri_ex_c2,esk25_4(uri_ex_x2,X1,uri_ex_c2,X2))
    | icext(uri_ex_x2,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_x2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_12,c_0_9]),c_0_10])]) ).

cnf(c_0_18,plain,
    ( icext(X1,X4)
    | icext(X2,esk26_4(X1,X3,X2,X4))
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_maxQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_19,plain,
    ( X4 = X5
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_maxQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ icext(X2,X4)
    | ~ iext(X3,X6,X4)
    | ~ icext(X2,X5)
    | ~ iext(X3,X6,X5)
    | ~ icext(X1,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_20,plain,
    ( icext(uri_ex_x2,X1)
    | iext(uri_ex_p,X1,esk25_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X1)) ),
    inference(pm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_21,plain,
    ( icext(uri_ex_c1,X1)
    | ~ icext(uri_ex_c2,X1) ),
    inference(pm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,plain,
    ( icext(uri_ex_c2,esk25_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X1))
    | icext(uri_ex_x2,X1) ),
    inference(pm,[status(thm)],[c_0_17,c_0_14]) ).

cnf(c_0_23,plain,
    ( icext(X1,X4)
    | iext(X3,X4,esk26_4(X1,X3,X2,X4))
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_maxQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_24,plain,
    ( icext(uri_ex_c2,esk26_4(uri_ex_x2,X1,uri_ex_c2,X2))
    | icext(uri_ex_x2,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_x2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_18,c_0_9]),c_0_10])]) ).

cnf(c_0_25,plain,
    ( icext(X1,X4)
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_maxQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | esk26_4(X1,X3,X2,X4) != esk25_4(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_26,plain,
    ! [X8,X9] :
      ( ( icext(uri_owl_Restriction,X8)
        | ~ iext(uri_owl_onClass,X8,X9) )
      & ( ic(X9)
        | ~ iext(uri_owl_onClass,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_onclass_ext])])]) ).

cnf(c_0_27,plain,
    ( X1 = esk25_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X2)
    | icext(uri_ex_x2,X2)
    | ~ icext(X3,esk25_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X2))
    | ~ icext(X3,X1)
    | ~ icext(X4,X2)
    | ~ iext(uri_owl_maxQualifiedCardinality,X4,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_onProperty,X4,uri_ex_p)
    | ~ iext(uri_owl_onClass,X4,X3)
    | ~ iext(uri_ex_p,X2,X1) ),
    inference(pm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,plain,
    iext(uri_owl_onClass,uri_ex_x1,uri_ex_c1),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_maxqcr_cmp_class]) ).

cnf(c_0_29,plain,
    iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_maxqcr_cmp_class]) ).

cnf(c_0_30,plain,
    iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_maxqcr_cmp_class]) ).

cnf(c_0_31,plain,
    ( icext(uri_ex_c1,esk25_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X1))
    | icext(uri_ex_x2,X1) ),
    inference(pm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_32,plain,
    ( icext(uri_ex_x2,X1)
    | iext(X2,X1,esk26_4(uri_ex_x2,X2,uri_ex_c2,X1))
    | ~ iext(uri_owl_onProperty,uri_ex_x2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_23,c_0_9]),c_0_10])]) ).

cnf(c_0_33,plain,
    ( icext(uri_ex_c2,esk26_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X1))
    | icext(uri_ex_x2,X1) ),
    inference(pm,[status(thm)],[c_0_24,c_0_14]) ).

cnf(c_0_34,plain,
    ( icext(uri_ex_x2,X1)
    | esk26_4(uri_ex_x2,X2,uri_ex_c2,X1) != esk25_4(uri_ex_x2,X2,uri_ex_c2,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_x2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_25,c_0_9]),c_0_10])]) ).

fof(c_0_35,plain,
    ! [X5] :
      ( ~ icext(uri_owl_Restriction,X5)
      | ic(X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_restriction_ext])]) ).

cnf(c_0_36,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onClass,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    ( X1 = esk25_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X2)
    | icext(uri_ex_x2,X2)
    | ~ icext(uri_ex_c1,X1)
    | ~ icext(uri_ex_x1,X2)
    | ~ iext(uri_ex_p,X2,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).

cnf(c_0_38,plain,
    ( icext(uri_ex_x2,X1)
    | iext(uri_ex_p,X1,esk26_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X1)) ),
    inference(pm,[status(thm)],[c_0_32,c_0_14]) ).

cnf(c_0_39,plain,
    ( icext(uri_ex_c1,esk26_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X1))
    | icext(uri_ex_x2,X1) ),
    inference(pm,[status(thm)],[c_0_21,c_0_33]) ).

cnf(c_0_40,plain,
    ( icext(uri_ex_x2,X1)
    | esk26_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X1) != esk25_4(uri_ex_x2,uri_ex_p,uri_ex_c2,X1) ),
    inference(pm,[status(thm)],[c_0_34,c_0_14]) ).

fof(c_0_41,plain,
    ! [X16,X17,X18,X16,X17] :
      ( ( ic(X16)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ic(X17)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ~ icext(X16,X18)
        | icext(X17,X18)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( icext(X16,esk1_2(X16,X17))
        | ~ ic(X16)
        | ~ ic(X17)
        | iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ~ icext(X17,esk1_2(X16,X17))
        | ~ ic(X16)
        | ~ ic(X17)
        | iext(uri_rdfs_subClassOf,X16,X17) ) ),
    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)],[owl_rdfsext_subclassof])])])])])])]) ).

cnf(c_0_42,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(pm,[status(thm)],[c_0_36,c_0_28]) ).

fof(c_0_44,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_maxqcr_cmp_class]) ).

cnf(c_0_45,plain,
    ( icext(uri_ex_x2,X1)
    | ~ icext(uri_ex_x1,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]) ).

cnf(c_0_46,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk1_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_47,plain,
    ic(uri_ex_x1),
    inference(pm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(pm,[status(thm)],[c_0_36,c_0_9]) ).

fof(c_0_49,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

cnf(c_0_50,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,plain,
    ( icext(uri_ex_x2,esk1_2(uri_ex_x1,X1))
    | iext(uri_rdfs_subClassOf,uri_ex_x1,X1)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).

cnf(c_0_52,plain,
    ic(uri_ex_x2),
    inference(pm,[status(thm)],[c_0_42,c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_54,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_47])]),c_0_53]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWB089+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.14  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun  1 00:12:21 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.42/23.46  eprover: CPU time limit exceeded, terminating
% 0.42/23.46  eprover: CPU time limit exceeded, terminating
% 0.42/23.52  eprover: CPU time limit exceeded, terminating
% 0.42/23.58  eprover: CPU time limit exceeded, terminating
% 0.57/46.52  eprover: CPU time limit exceeded, terminating
% 0.57/46.55  eprover: CPU time limit exceeded, terminating
% 0.57/46.58  eprover: CPU time limit exceeded, terminating
% 0.57/46.63  eprover: CPU time limit exceeded, terminating
% 0.71/67.89  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.71/67.89  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.71/67.89  # Preprocessing time       : 0.028 s
% 0.71/67.89  
% 0.71/67.89  # Failure: Out of unprocessed clauses!
% 0.71/67.89  # OLD status GaveUp
% 0.71/67.89  # Parsed axioms                        : 560
% 0.71/67.89  # Removed by relevancy pruning/SinE    : 523
% 0.71/67.89  # Initial clauses                      : 59
% 0.71/67.89  # Removed in clause preprocessing      : 12
% 0.71/67.89  # Initial clauses in saturation        : 47
% 0.71/67.89  # Processed clauses                    : 421
% 0.71/67.89  # ...of these trivial                  : 14
% 0.71/67.89  # ...subsumed                          : 186
% 0.71/67.89  # ...remaining for further processing  : 221
% 0.71/67.89  # Other redundant clauses eliminated   : 0
% 0.71/67.89  # Clauses deleted for lack of memory   : 0
% 0.71/67.89  # Backward-subsumed                    : 0
% 0.71/67.89  # Backward-rewritten                   : 0
% 0.71/67.89  # Generated clauses                    : 613
% 0.71/67.89  # ...of the previous two non-trivial   : 374
% 0.71/67.89  # Contextual simplify-reflections      : 46
% 0.71/67.89  # Paramodulations                      : 613
% 0.71/67.89  # Factorizations                       : 0
% 0.71/67.89  # Equation resolutions                 : 0
% 0.71/67.89  # Current number of processed clauses  : 221
% 0.71/67.89  #    Positive orientable unit clauses  : 44
% 0.71/67.89  #    Positive unorientable unit clauses: 0
% 0.71/67.89  #    Negative unit clauses             : 1
% 0.71/67.89  #    Non-unit-clauses                  : 176
% 0.71/67.89  # Current number of unprocessed clauses: 0
% 0.71/67.89  # ...number of literals in the above   : 0
% 0.71/67.89  # Current number of archived formulas  : 0
% 0.71/67.89  # Current number of archived clauses   : 1
% 0.71/67.89  # Clause-clause subsumption calls (NU) : 13239
% 0.71/67.89  # Rec. Clause-clause subsumption calls : 5112
% 0.71/67.89  # Non-unit clause-clause subsumptions  : 232
% 0.71/67.89  # Unit Clause-clause subsumption calls : 23
% 0.71/67.89  # Rewrite failures with RHS unbound    : 0
% 0.71/67.89  # BW rewrite match attempts            : 6
% 0.71/67.89  # BW rewrite match successes           : 0
% 0.71/67.89  # Condensation attempts                : 0
% 0.71/67.89  # Condensation successes               : 0
% 0.71/67.89  # Termbank termtop insertions          : 18424
% 0.71/67.89  
% 0.71/67.89  # -------------------------------------------------
% 0.71/67.89  # User time                : 0.053 s
% 0.71/67.89  # System time              : 0.006 s
% 0.71/67.89  # Total time               : 0.059 s
% 0.71/67.89  # Maximum resident set size: 4520 pages
% 0.71/67.89  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.71/67.89  
% 0.71/67.89  # Failure: Resource limit exceeded (time)
% 0.71/67.89  # OLD status Res
% 0.71/67.89  # Preprocessing time       : 0.070 s
% 0.71/67.89  # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 0.71/67.89  
% 0.71/67.89  # Failure: Resource limit exceeded (time)
% 0.71/67.89  # OLD status Res
% 0.71/67.89  # Preprocessing time       : 0.044 s
% 0.71/67.89  # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 0.71/67.89  # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 0.71/67.89  # Preprocessing time       : 0.028 s
% 0.71/67.89  
% 0.71/67.89  # Failure: Out of unprocessed clauses!
% 0.71/67.89  # OLD status GaveUp
% 0.71/67.89  # Parsed axioms                        : 560
% 0.71/67.89  # Removed by relevancy pruning/SinE    : 524
% 0.71/67.89  # Initial clauses                      : 58
% 0.71/67.89  # Removed in clause preprocessing      : 12
% 0.71/67.89  # Initial clauses in saturation        : 46
% 0.71/67.89  # Processed clauses                    : 363
% 0.71/67.89  # ...of these trivial                  : 16
% 0.71/67.89  # ...subsumed                          : 158
% 0.71/67.89  # ...remaining for further processing  : 189
% 0.71/67.89  # Other redundant clauses eliminated   : 0
% 0.71/67.89  # Clauses deleted for lack of memory   : 0
% 0.71/67.89  # Backward-subsumed                    : 0
% 0.71/67.89  # Backward-rewritten                   : 0
% 0.71/67.89  # Generated clauses                    : 554
% 0.71/67.89  # ...of the previous two non-trivial   : 317
% 0.71/67.89  # Contextual simplify-reflections      : 44
% 0.71/67.89  # Paramodulations                      : 554
% 0.71/67.89  # Factorizations                       : 0
% 0.71/67.89  # Equation resolutions                 : 0
% 0.71/67.89  # Current number of processed clauses  : 189
% 0.71/67.89  #    Positive orientable unit clauses  : 44
% 0.71/67.89  #    Positive unorientable unit clauses: 0
% 0.71/67.89  #    Negative unit clauses             : 1
% 0.71/67.89  #    Non-unit-clauses                  : 144
% 0.71/67.89  # Current number of unprocessed clauses: 0
% 0.71/67.89  # ...number of literals in the above   : 0
% 0.71/67.89  # Current number of archived formulas  : 0
% 0.71/67.89  # Current number of archived clauses   : 1
% 0.71/67.89  # Clause-clause subsumption calls (NU) : 4780
% 0.71/67.89  # Rec. Clause-clause subsumption calls : 1946
% 0.71/67.89  # Non-unit clause-clause subsumptions  : 202
% 0.71/67.89  # Unit Clause-clause subsumption calls : 118
% 0.71/67.89  # Rewrite failures with RHS unbound    : 0
% 0.71/67.89  # BW rewrite match attempts            : 14
% 0.71/67.89  # BW rewrite match successes           : 0
% 0.71/67.89  # Condensation attempts                : 0
% 0.71/67.89  # Condensation successes               : 0
% 0.71/67.89  # Termbank termtop insertions          : 17075
% 0.71/67.89  
% 0.71/67.89  # -------------------------------------------------
% 0.71/67.89  # User time                : 0.047 s
% 0.71/67.89  # System time              : 0.002 s
% 0.71/67.89  # Total time               : 0.049 s
% 0.71/67.89  # Maximum resident set size: 4512 pages
% 0.71/67.89  # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 0.71/67.89  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 0.71/67.89  # Preprocessing time       : 0.015 s
% 0.71/67.89  
% 0.71/67.89  # Failure: Out of unprocessed clauses!
% 0.71/67.89  # OLD status GaveUp
% 0.71/67.89  # Parsed axioms                        : 560
% 0.71/67.89  # Removed by relevancy pruning/SinE    : 540
% 0.71/67.89  # Initial clauses                      : 31
% 0.71/67.89  # Removed in clause preprocessing      : 12
% 0.71/67.89  # Initial clauses in saturation        : 19
% 0.71/67.89  # Processed clauses                    : 25
% 0.71/67.89  # ...of these trivial                  : 2
% 0.71/67.89  # ...subsumed                          : 5
% 0.71/67.89  # ...remaining for further processing  : 18
% 0.71/67.89  # Other redundant clauses eliminated   : 0
% 0.71/67.89  # Clauses deleted for lack of memory   : 0
% 0.71/67.89  # Backward-subsumed                    : 0
% 0.71/67.89  # Backward-rewritten                   : 0
% 0.71/67.89  # Generated clauses                    : 12
% 0.71/67.89  # ...of the previous two non-trivial   : 6
% 0.71/67.89  # Contextual simplify-reflections      : 0
% 0.71/67.89  # Paramodulations                      : 12
% 0.71/67.89  # Factorizations                       : 0
% 0.71/67.89  # Equation resolutions                 : 0
% 0.71/67.89  # Current number of processed clauses  : 18
% 0.71/67.89  #    Positive orientable unit clauses  : 6
% 0.71/67.89  #    Positive unorientable unit clauses: 0
% 0.71/67.89  #    Negative unit clauses             : 1
% 0.71/67.89  #    Non-unit-clauses                  : 11
% 0.71/67.89  # Current number of unprocessed clauses: 0
% 0.71/67.89  # ...number of literals in the above   : 0
% 0.71/67.89  # Current number of archived formulas  : 0
% 0.71/67.89  # Current number of archived clauses   : 1
% 0.71/67.89  # Clause-clause subsumption calls (NU) : 13
% 0.71/67.89  # Rec. Clause-clause subsumption calls : 12
% 0.71/67.89  # Non-unit clause-clause subsumptions  : 5
% 0.71/67.89  # Unit Clause-clause subsumption calls : 3
% 0.71/67.89  # Rewrite failures with RHS unbound    : 0
% 0.71/67.89  # BW rewrite match attempts            : 0
% 0.71/67.89  # BW rewrite match successes           : 0
% 0.71/67.89  # Condensation attempts                : 0
% 0.71/67.89  # Condensation successes               : 0
% 0.71/67.89  # Termbank termtop insertions          : 8415
% 0.71/67.89  
% 0.71/67.89  # -------------------------------------------------
% 0.71/67.89  # User time                : 0.014 s
% 0.71/67.89  # System time              : 0.002 s
% 0.71/67.89  # Total time               : 0.016 s
% 0.71/67.89  # Maximum resident set size: 3672 pages
% 0.71/67.89  # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 0.71/67.89  # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 0.71/67.89  # Preprocessing time       : 0.015 s
% 0.71/67.89  
% 0.71/67.89  # Failure: Out of unprocessed clauses!
% 0.71/67.89  # OLD status GaveUp
% 0.71/67.89  # Parsed axioms                        : 560
% 0.71/67.89  # Removed by relevancy pruning/SinE    : 533
% 0.71/67.89  # Initial clauses                      : 46
% 0.71/67.89  # Removed in clause preprocessing      : 12
% 0.71/67.89  # Initial clauses in saturation        : 34
% 0.71/67.89  # Processed clauses                    : 267
% 0.71/67.89  # ...of these trivial                  : 10
% 0.71/67.89  # ...subsumed                          : 95
% 0.71/67.89  # ...remaining for further processing  : 162
% 0.71/67.89  # Other redundant clauses eliminated   : 0
% 0.71/67.89  # Clauses deleted for lack of memory   : 0
% 0.71/67.89  # Backward-subsumed                    : 4
% 0.71/67.89  # Backward-rewritten                   : 0
% 0.71/67.89  # Generated clauses                    : 335
% 0.71/67.89  # ...of the previous two non-trivial   : 233
% 0.71/67.89  # Contextual simplify-reflections      : 0
% 0.71/67.89  # Paramodulations                      : 335
% 0.71/67.89  # Factorizations                       : 0
% 0.71/67.89  # Equation resolutions                 : 0
% 0.71/67.89  # Current number of processed clauses  : 158
% 0.71/67.89  #    Positive orientable unit clauses  : 34
% 0.71/67.89  #    Positive unorientable unit clauses: 0
% 0.71/67.89  #    Negative unit clauses             : 1
% 0.71/67.89  #    Non-unit-clauses                  : 123
% 0.71/67.89  # Current number of unprocessed clauses: 0
% 0.71/67.89  # ...number of literals in the above   : 0
% 0.71/67.89  # Current number of archived formulas  : 0
% 0.71/67.89  # Current number of archived clauses   : 5
% 0.71/67.89  # Clause-clause subsumption calls (NU) : 965
% 0.71/67.89  # Rec. Clause-clause subsumption calls : 393
% 0.71/67.89  # Non-unit clause-clause subsumptions  : 99
% 0.71/67.89  # Unit Clause-clause subsumption calls : 71
% 0.71/67.89  # Rewrite failures with RHS unbound    : 0
% 0.71/67.89  # BW rewrite match attempts            : 3
% 0.71/67.89  # BW rewrite match successes           : 0
% 0.71/67.89  # Condensation attempts                : 0
% 0.71/67.89  # Condensation successes               : 0
% 0.71/67.89  # Termbank termtop insertions          : 15116
% 0.71/67.89  
% 0.71/67.89  # -------------------------------------------------
% 0.71/67.89  # User time                : 0.018 s
% 0.71/67.89  # System time              : 0.002 s
% 0.71/67.89  # Total time               : 0.021 s
% 0.71/67.89  # Maximum resident set size: 4504 pages
% 0.71/67.89  # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 0.71/67.89  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 0.71/67.89  # Preprocessing time       : 0.015 s
% 0.71/67.89  
% 0.71/67.89  # Failure: Out of unprocessed clauses!
% 0.71/67.89  # OLD status GaveUp
% 0.71/67.89  # Parsed axioms                        : 560
% 0.71/67.89  # Removed by relevancy pruning/SinE    : 529
% 0.71/67.89  # Initial clauses                      : 51
% 0.71/67.89  # Removed in clause preprocessing      : 0
% 0.71/67.89  # Initial clauses in saturation        : 51
% 0.71/67.89  # Processed clauses                    : 526
% 0.71/67.89  # ...of these trivial                  : 24
% 0.71/67.89  # ...subsumed                          : 252
% 0.71/67.89  # ...remaining for further processing  : 250
% 0.71/67.89  # Other redundant clauses eliminated   : 0
% 0.71/67.89  # Clauses deleted for lack of memory   : 0
% 0.71/67.89  # Backward-subsumed                    : 0
% 0.71/67.89  # Backward-rewritten                   : 0
% 0.71/67.89  # Generated clauses                    : 648
% 0.71/67.89  # ...of the previous two non-trivial   : 475
% 0.71/67.89  # Contextual simplify-reflections      : 102
% 0.71/67.89  # Paramodulations                      : 648
% 0.71/67.89  # Factorizations                       : 0
% 0.71/67.89  # Equation resolutions                 : 0
% 0.71/67.89  # Current number of processed clauses  : 250
% 0.71/67.89  #    Positive orientable unit clauses  : 53
% 0.71/67.89  #    Positive unorientable unit clauses: 0
% 0.71/67.89  #    Negative unit clauses             : 1
% 0.71/67.89  #    Non-unit-clauses                  : 196
% 0.71/67.89  # Current number of unprocessed clauses: 0
% 0.71/67.89  # ...number of literals in the above   : 0
% 0.71/67.89  # Current number of archived formulas  : 0
% 0.71/67.89  # Current number of archived clauses   : 0
% 0.71/67.89  # Clause-clause subsumption calls (NU) : 10462
% 0.71/67.89  # Rec. Clause-clause subsumption calls : 3619
% 0.71/67.89  # Non-unit clause-clause subsumptions  : 354
% 0.71/67.89  # Unit Clause-clause subsumption calls : 161
% 0.71/67.89  # Rewrite failures with RHS unbound    : 0
% 0.71/67.89  # BW rewrite match attempts            : 17
% 0.71/67.89  # BW rewrite match successes           : 0
% 0.71/67.89  # Condensation attempts                : 0
% 0.71/67.89  # Condensation successes               : 0
% 0.71/67.89  # Termbank termtop insertions          : 18782
% 0.71/67.89  
% 0.71/67.89  # -------------------------------------------------
% 0.71/67.89  # User time                : 0.026 s
% 0.71/67.89  # System time              : 0.005 s
% 0.71/67.89  # Total time               : 0.031 s
% 0.71/67.89  # Maximum resident set size: 4496 pages
% 0.71/67.89  # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 0.71/67.89  # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 0.71/67.89  # Preprocessing time       : 0.027 s
% 0.71/67.89  
% 0.71/67.89  # Proof found!
% 0.71/67.89  # SZS status Theorem
% 0.71/67.89  # SZS output start CNFRefutation
% See solution above
% 0.71/67.89  # Proof object total steps             : 55
% 0.71/67.89  # Proof object clause steps            : 41
% 0.71/67.89  # Proof object formula steps           : 14
% 0.71/67.89  # Proof object conjectures             : 4
% 0.71/67.89  # Proof object clause conjectures      : 1
% 0.71/67.89  # Proof object formula conjectures     : 3
% 0.71/67.89  # Proof object initial clauses used    : 19
% 0.71/67.89  # Proof object initial formulas used   : 7
% 0.71/67.89  # Proof object generating inferences   : 22
% 0.71/67.89  # Proof object simplifying inferences  : 22
% 0.71/67.89  # Training examples: 0 positive, 0 negative
% 0.71/67.89  # Parsed axioms                        : 560
% 0.71/67.89  # Removed by relevancy pruning/SinE    : 459
% 0.71/67.89  # Initial clauses                      : 359
% 0.71/67.89  # Removed in clause preprocessing      : 20
% 0.71/67.89  # Initial clauses in saturation        : 339
% 0.71/67.89  # Processed clauses                    : 27687
% 0.71/67.89  # ...of these trivial                  : 78
% 0.71/67.89  # ...subsumed                          : 9239
% 0.71/67.89  # ...remaining for further processing  : 18370
% 0.71/67.89  # Other redundant clauses eliminated   : 0
% 0.71/67.89  # Clauses deleted for lack of memory   : 0
% 0.71/67.89  # Backward-subsumed                    : 1012
% 0.71/67.89  # Backward-rewritten                   : 0
% 0.71/67.89  # Generated clauses                    : 118821
% 0.71/67.89  # ...of the previous two non-trivial   : 117221
% 0.71/67.89  # Contextual simplify-reflections      : 13581
% 0.71/67.89  # Paramodulations                      : 118821
% 0.71/67.89  # Factorizations                       : 0
% 0.71/67.89  # Equation resolutions                 : 0
% 0.71/67.89  # Current number of processed clauses  : 17358
% 0.71/67.89  #    Positive orientable unit clauses  : 176
% 0.71/67.89  #    Positive unorientable unit clauses: 0
% 0.71/67.89  #    Negative unit clauses             : 1
% 0.71/67.89  #    Non-unit-clauses                  : 17181
% 0.71/67.89  # Current number of unprocessed clauses: 82950
% 0.71/67.89  # ...number of literals in the above   : 1038014
% 0.71/67.89  # Current number of archived formulas  : 0
% 0.71/67.89  # Current number of archived clauses   : 1013
% 0.71/67.89  # Clause-clause subsumption calls (NU) : 77039009
% 0.71/67.89  # Rec. Clause-clause subsumption calls : 1246380
% 0.71/67.89  # Non-unit clause-clause subsumptions  : 23832
% 0.71/67.89  # Unit Clause-clause subsumption calls : 19856
% 0.71/67.89  # Rewrite failures with RHS unbound    : 0
% 0.71/67.89  # BW rewrite match attempts            : 56
% 0.71/67.89  # BW rewrite match successes           : 0
% 0.71/67.89  # Condensation attempts                : 0
% 0.71/67.89  # Condensation successes               : 0
% 0.71/67.89  # Termbank termtop insertions          : 1985966
% 0.71/67.89  
% 0.71/67.89  # -------------------------------------------------
% 0.71/67.89  # User time                : 20.303 s
% 0.71/67.89  # System time              : 0.109 s
% 0.71/67.89  # Total time               : 20.412 s
% 0.71/67.89  # Maximum resident set size: 127328 pages
%------------------------------------------------------------------------------