TSTP Solution File: SET647+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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 00:52:52 EDT 2022

% Result   : Theorem 0.42s 24.59s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   61 (  12 unt;   0 def)
%            Number of atoms       :  245 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  308 ( 124   ~; 126   |;  19   &)
%                                         (   5 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :  114 (   2 sgn  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( ( subset(X1,X2)
                  & subset(X2,X3) )
               => subset(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p1) ).

fof(p26,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p26) ).

fof(p3,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( subset(X1,X2)
               => ( subset(cross_product(X1,X3),cross_product(X2,X3))
                  & subset(cross_product(X3,X1),cross_product(X3,X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p3) ).

fof(p2,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => subset(X1,cross_product(domain_of(X1),range_of(X1))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p2) ).

fof(prove_relset_1_9,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( subset(domain_of(X2),X1)
           => ilf_type(X2,relation_type(X1,range_of(X2))) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_relset_1_9) ).

fof(p17,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => subset(X1,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p17) ).

fof(p12,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p12) ).

fof(p20,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( member(X1,power_set(X2))
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p20) ).

fof(p24,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( empty(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ~ member(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p24) ).

fof(p22,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ( ~ empty(X2)
            & ilf_type(X2,set_type) )
         => ( ilf_type(X1,member_type(X2))
          <=> member(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p22) ).

fof(p4,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X1,X2)))
               => ilf_type(X3,relation_type(X1,X2)) )
            & ! [X4] :
                ( ilf_type(X4,relation_type(X1,X2))
               => ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p4) ).

fof(p15,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ilf_type(X2,subset_type(X1))
          <=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p15) ).

fof(c_0_12,plain,
    ! [X4,X5,X6] :
      ( ~ ilf_type(X4,set_type)
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X6,set_type)
      | ~ subset(X4,X5)
      | ~ subset(X5,X6)
      | subset(X4,X6) ),
    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)],[p1])])])])]) ).

fof(c_0_13,plain,
    ! [X2] : ilf_type(X2,set_type),
    inference(variable_rename,[status(thm)],[p26]) ).

fof(c_0_14,plain,
    ! [X4,X5,X6] :
      ( ( subset(cross_product(X4,X6),cross_product(X5,X6))
        | ~ subset(X4,X5)
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( subset(cross_product(X6,X4),cross_product(X6,X5))
        | ~ subset(X4,X5)
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    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)],[p3])])])])])]) ).

cnf(c_0_15,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( subset(cross_product(X1,X3),cross_product(X2,X3))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]),c_0_16])]) ).

cnf(c_0_19,plain,
    ( subset(cross_product(X1,X2),cross_product(X3,X2))
    | ~ subset(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_16]),c_0_16]),c_0_16])]) ).

fof(c_0_20,plain,
    ! [X2] :
      ( ~ ilf_type(X2,binary_relation_type)
      | subset(X2,cross_product(domain_of(X2),range_of(X2))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])]) ).

cnf(c_0_21,plain,
    ( subset(X1,cross_product(X2,X3))
    | ~ subset(X1,cross_product(X4,X3))
    | ~ subset(X4,X2) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    ( subset(X1,cross_product(domain_of(X1),range_of(X1)))
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_23,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,binary_relation_type)
           => ( subset(domain_of(X2),X1)
             => ilf_type(X2,relation_type(X1,range_of(X2))) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_9]) ).

cnf(c_0_24,plain,
    ( subset(X1,cross_product(X2,range_of(X1)))
    | ~ subset(domain_of(X1),X2)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_25,negated_conjecture,
    ( ilf_type(esk1_0,set_type)
    & ilf_type(esk2_0,binary_relation_type)
    & subset(domain_of(esk2_0),esk1_0)
    & ~ ilf_type(esk2_0,relation_type(esk1_0,range_of(esk2_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_23])])])])]) ).

fof(c_0_26,plain,
    ! [X2] :
      ( ~ ilf_type(X2,set_type)
      | subset(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p17])]) ).

fof(c_0_27,plain,
    ! [X4,X5,X6] :
      ( ( ~ subset(X4,X5)
        | ~ ilf_type(X6,set_type)
        | ~ member(X6,X4)
        | member(X6,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ilf_type(esk5_2(X4,X5),set_type)
        | subset(X4,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( member(esk5_2(X4,X5),X4)
        | subset(X4,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ~ member(esk5_2(X4,X5),X5)
        | subset(X4,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    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)],[p12])])])])])])]) ).

cnf(c_0_28,plain,
    ( subset(X1,cross_product(X2,range_of(X1)))
    | ~ subset(domain_of(X1),X3)
    | ~ subset(X3,X2)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_21,c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    subset(domain_of(esk2_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    ilf_type(esk2_0,binary_relation_type),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,plain,
    ( subset(X1,X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_32,plain,
    ! [X4,X5,X6] :
      ( ( ~ member(X4,power_set(X5))
        | ~ ilf_type(X6,set_type)
        | ~ member(X6,X4)
        | member(X6,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ilf_type(esk14_2(X4,X5),set_type)
        | member(X4,power_set(X5))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( member(esk14_2(X4,X5),X4)
        | member(X4,power_set(X5))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ~ member(esk14_2(X4,X5),X5)
        | member(X4,power_set(X5))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    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)],[p20])])])])])])]) ).

cnf(c_0_33,plain,
    ( member(X3,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,negated_conjecture,
    ( subset(esk2_0,cross_product(X1,range_of(esk2_0)))
    | ~ subset(esk1_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

cnf(c_0_35,plain,
    subset(X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_16])]) ).

fof(c_0_36,plain,
    ! [X3,X4] :
      ( ( ~ empty(X3)
        | ~ ilf_type(X4,set_type)
        | ~ member(X4,X3)
        | ~ ilf_type(X3,set_type) )
      & ( ilf_type(esk9_1(X3),set_type)
        | empty(X3)
        | ~ ilf_type(X3,set_type) )
      & ( member(esk9_1(X3),X3)
        | empty(X3)
        | ~ ilf_type(X3,set_type) ) ),
    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)],[inference(fof_simplification,[status(thm)],[p24])])])])])])])]) ).

cnf(c_0_37,plain,
    ( member(X1,power_set(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(esk14_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_16]),c_0_16]),c_0_16])]) ).

cnf(c_0_39,negated_conjecture,
    subset(esk2_0,cross_product(esk1_0,range_of(esk2_0))),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_40,plain,
    ! [X3,X4] :
      ( ( ~ ilf_type(X3,member_type(X4))
        | member(X3,X4)
        | empty(X4)
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) )
      & ( ~ member(X3,X4)
        | ilf_type(X3,member_type(X4))
        | empty(X4)
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) ) ),
    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)],[inference(fof_simplification,[status(thm)],[p22])])])])])])]) ).

cnf(c_0_41,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk14_2(X1,X2),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_16]),c_0_16])]) ).

cnf(c_0_43,negated_conjecture,
    ( member(X1,cross_product(esk1_0,range_of(esk2_0)))
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    ( member(X1,power_set(X2))
    | member(esk14_2(X1,X2),X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_45,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
        | ilf_type(X7,relation_type(X5,X6))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type) )
      & ( ~ ilf_type(X8,relation_type(X5,X6))
        | ilf_type(X8,subset_type(cross_product(X5,X6)))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type) ) ),
    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)],[p4])])])])])]) ).

fof(c_0_46,plain,
    ! [X3,X4] :
      ( ( ~ ilf_type(X4,subset_type(X3))
        | ilf_type(X4,member_type(power_set(X3)))
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) )
      & ( ~ ilf_type(X4,member_type(power_set(X3)))
        | ilf_type(X4,subset_type(X3))
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) ) ),
    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)],[p15])])])])])]) ).

cnf(c_0_47,plain,
    ( empty(X2)
    | ilf_type(X1,member_type(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    ( ~ empty(X1)
    | ~ member(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_16]),c_0_16])]) ).

cnf(c_0_49,negated_conjecture,
    ( member(X1,power_set(cross_product(esk1_0,range_of(esk2_0))))
    | ~ member(esk14_2(X1,cross_product(esk1_0,range_of(esk2_0))),esk2_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( member(esk14_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_16]),c_0_16])]) ).

cnf(c_0_51,plain,
    ( ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,plain,
    ( ilf_type(X2,subset_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,member_type(power_set(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_53,plain,
    ( ilf_type(X1,member_type(X2))
    | ~ member(X1,X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_16]),c_0_16])]),c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    member(esk2_0,power_set(cross_product(esk1_0,range_of(esk2_0)))),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ~ ilf_type(esk2_0,relation_type(esk1_0,range_of(esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_56,plain,
    ( ilf_type(X1,relation_type(X2,X3))
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_16]),c_0_16])]) ).

cnf(c_0_57,plain,
    ( ilf_type(X1,subset_type(X2))
    | ~ ilf_type(X1,member_type(power_set(X2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_16]),c_0_16])]) ).

cnf(c_0_58,negated_conjecture,
    ilf_type(esk2_0,member_type(power_set(cross_product(esk1_0,range_of(esk2_0))))),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    ~ ilf_type(esk2_0,subset_type(cross_product(esk1_0,range_of(esk2_0)))),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET647+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n012.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 : Sun Jul 10 00:28:43 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.40/23.43  eprover: CPU time limit exceeded, terminating
% 0.40/23.43  eprover: CPU time limit exceeded, terminating
% 0.40/23.43  eprover: CPU time limit exceeded, terminating
% 0.40/23.44  eprover: CPU time limit exceeded, terminating
% 0.42/24.59  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.42/24.59  
% 0.42/24.59  # Failure: Resource limit exceeded (time)
% 0.42/24.59  # OLD status Res
% 0.42/24.59  # Preprocessing time       : 0.018 s
% 0.42/24.59  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.42/24.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.42/24.59  # Preprocessing time       : 0.019 s
% 0.42/24.59  
% 0.42/24.59  # Proof found!
% 0.42/24.59  # SZS status Theorem
% 0.42/24.59  # SZS output start CNFRefutation
% See solution above
% 0.42/24.59  # Proof object total steps             : 61
% 0.42/24.59  # Proof object clause steps            : 36
% 0.42/24.59  # Proof object formula steps           : 25
% 0.42/24.59  # Proof object conjectures             : 14
% 0.42/24.59  # Proof object clause conjectures      : 11
% 0.42/24.59  # Proof object formula conjectures     : 3
% 0.42/24.59  # Proof object initial clauses used    : 15
% 0.42/24.59  # Proof object initial formulas used   : 12
% 0.42/24.59  # Proof object generating inferences   : 11
% 0.42/24.59  # Proof object simplifying inferences  : 36
% 0.42/24.59  # Training examples: 0 positive, 0 negative
% 0.42/24.59  # Parsed axioms                        : 27
% 0.42/24.59  # Removed by relevancy pruning/SinE    : 0
% 0.42/24.59  # Initial clauses                      : 54
% 0.42/24.59  # Removed in clause preprocessing      : 1
% 0.42/24.59  # Initial clauses in saturation        : 53
% 0.42/24.59  # Processed clauses                    : 2724
% 0.42/24.59  # ...of these trivial                  : 15
% 0.42/24.59  # ...subsumed                          : 1232
% 0.42/24.59  # ...remaining for further processing  : 1477
% 0.42/24.59  # Other redundant clauses eliminated   : 0
% 0.42/24.59  # Clauses deleted for lack of memory   : 0
% 0.42/24.59  # Backward-subsumed                    : 129
% 0.42/24.59  # Backward-rewritten                   : 3
% 0.42/24.59  # Generated clauses                    : 22784
% 0.42/24.59  # ...of the previous two non-trivial   : 22666
% 0.42/24.59  # Contextual simplify-reflections      : 1081
% 0.42/24.59  # Paramodulations                      : 22755
% 0.42/24.59  # Factorizations                       : 0
% 0.42/24.59  # Equation resolutions                 : 2
% 0.42/24.59  # Current number of processed clauses  : 1345
% 0.42/24.59  #    Positive orientable unit clauses  : 41
% 0.42/24.59  #    Positive unorientable unit clauses: 0
% 0.42/24.59  #    Negative unit clauses             : 3
% 0.42/24.59  #    Non-unit-clauses                  : 1301
% 0.42/24.59  # Current number of unprocessed clauses: 18167
% 0.42/24.59  # ...number of literals in the above   : 89289
% 0.42/24.59  # Current number of archived formulas  : 0
% 0.42/24.59  # Current number of archived clauses   : 132
% 0.42/24.59  # Clause-clause subsumption calls (NU) : 873713
% 0.42/24.59  # Rec. Clause-clause subsumption calls : 173087
% 0.42/24.59  # Non-unit clause-clause subsumptions  : 2428
% 0.42/24.59  # Unit Clause-clause subsumption calls : 1835
% 0.42/24.59  # Rewrite failures with RHS unbound    : 0
% 0.42/24.59  # BW rewrite match attempts            : 29
% 0.42/24.59  # BW rewrite match successes           : 3
% 0.42/24.59  # Condensation attempts                : 0
% 0.42/24.59  # Condensation successes               : 0
% 0.42/24.59  # Termbank termtop insertions          : 649937
% 0.42/24.59  
% 0.42/24.59  # -------------------------------------------------
% 0.42/24.59  # User time                : 0.884 s
% 0.42/24.59  # System time              : 0.017 s
% 0.42/24.59  # Total time               : 0.901 s
% 0.42/24.59  # Maximum resident set size: 23684 pages
% 0.42/46.44  eprover: CPU time limit exceeded, terminating
% 0.42/46.45  eprover: CPU time limit exceeded, terminating
% 0.42/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.46  eprover: No such file or directory
% 0.42/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.47  eprover: No such file or directory
% 0.42/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.47  eprover: No such file or directory
% 0.42/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.47  eprover: No such file or directory
% 0.42/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.47  eprover: No such file or directory
% 0.42/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.47  eprover: No such file or directory
% 0.42/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.48  eprover: No such file or directory
% 0.42/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.48  eprover: No such file or directory
% 0.42/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.48  eprover: No such file or directory
% 0.42/46.48  eprover: CPU time limit exceeded, terminating
% 0.42/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.48  eprover: No such file or directory
% 0.42/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.49  eprover: No such file or directory
% 0.42/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.49  eprover: No such file or directory
% 0.42/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.49  eprover: No such file or directory
% 0.42/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.49  eprover: No such file or directory
% 0.42/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.50  eprover: No such file or directory
% 0.42/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.50  eprover: No such file or directory
% 0.42/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.50  eprover: No such file or directory
% 0.42/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.50  eprover: No such file or directory
% 0.42/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.50  eprover: No such file or directory
% 0.42/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.50  eprover: No such file or directory
% 0.42/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.51  eprover: No such file or directory
% 0.42/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.51  eprover: No such file or directory
% 0.42/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.51  eprover: No such file or directory
% 0.42/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.51  eprover: No such file or directory
% 0.42/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.51  eprover: No such file or directory
% 0.42/46.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.52  eprover: No such file or directory
% 0.42/46.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.52  eprover: No such file or directory
% 0.42/46.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.53  eprover: No such file or directory
% 0.42/46.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.54  eprover: No such file or directory
% 0.42/46.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.42/46.54  eprover: No such file or directory
%------------------------------------------------------------------------------