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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SET667+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:17:54 PM UTC 2026

% Result   : Theorem 0.18s 0.46s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   63 (  10 unt;   0 def)
%            Number of atoms       :  234 (   8 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  289 ( 118   ~; 116   |;  18   &)
%                                         (   3 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :  122 (   7 sgn  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p7,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/benchmark/theBenchmark.p',p7) ).

fof(p31,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).

fof(prove_relset_1_30,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ! [X4] :
                  ( ilf_type(X4,relation_type(X1,X2))
                 => ( subset(identity_relation_of(X3),X4)
                   => ( subset(X3,range(X1,X2,X4))
                      & subset(X3,domain(X1,X2,X4)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_30) ).

fof(p24,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,subset_type(cross_product(X1,X2)))
             => relation_like(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).

fof(p5,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ! [X4] :
                ( ilf_type(X4,relation_type(X1,X2))
               => ilf_type(X4,subset_type(cross_product(X1,X2))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X1,X2)))
               => ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).

fof(p2,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( member(X2,X1)
          <=> member(ordered_pair(X2,X2),identity_relation_of(X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(p13,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ilf_type(X1,binary_relation_type)
      <=> ( ilf_type(X1,set_type)
          & relation_like(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).

fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,binary_relation_type)
             => ( member(ordered_pair(X1,X2),X3)
               => ( member(X2,range_of(X3))
                  & member(X1,domain_of(X3)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(p29,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => range(X1,X2,X3) = range_of(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).

fof(p27,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => domain(X1,X2,X3) = domain_of(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).

fof(c_0_10,plain,
    ! [X9,X10,X11] :
      ( ( ~ ilf_type(X9,set_type)
        | ~ ilf_type(X10,set_type)
        | subset(X9,X10)
        | ~ member(esk5_2(X9,X10),X10) )
      & ( ~ ilf_type(X9,set_type)
        | ~ ilf_type(X10,set_type)
        | subset(X9,X10)
        | member(esk5_2(X9,X10),X9) )
      & ( ~ ilf_type(X9,set_type)
        | ~ ilf_type(X10,set_type)
        | subset(X9,X10)
        | ilf_type(esk5_2(X9,X10),set_type) )
      & ( ~ ilf_type(X9,set_type)
        | ~ ilf_type(X10,set_type)
        | member(X11,X10)
        | ~ member(X11,X9)
        | ~ ilf_type(X11,set_type)
        | ~ subset(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p7])])])])])]) ).

fof(c_0_11,plain,
    ! [X43] : ilf_type(X43,set_type),
    inference(variable_rename,[status(thm)],[p31]) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,set_type)
           => ! [X3] :
                ( ilf_type(X3,set_type)
               => ! [X4] :
                    ( ilf_type(X4,relation_type(X1,X2))
                   => ( subset(identity_relation_of(X3),X4)
                     => ( subset(X3,range(X1,X2,X4))
                        & subset(X3,domain(X1,X2,X4)) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_30]) ).

fof(c_0_13,plain,
    ! [X76,X77,X78] :
      ( relation_like(X78)
      | ~ ilf_type(X78,subset_type(cross_product(X76,X77)))
      | ~ ilf_type(X77,set_type)
      | ~ ilf_type(X76,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p24])])])]) ).

fof(c_0_14,plain,
    ! [X44,X45,X46,X47] :
      ( ( ~ ilf_type(X44,set_type)
        | ~ ilf_type(X45,set_type)
        | ilf_type(X47,subset_type(cross_product(X44,X45)))
        | ~ ilf_type(X47,relation_type(X44,X45)) )
      & ( ~ ilf_type(X44,set_type)
        | ~ ilf_type(X45,set_type)
        | ilf_type(X46,relation_type(X44,X45))
        | ~ ilf_type(X46,subset_type(cross_product(X44,X45))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p5])])])])]) ).

cnf(c_0_15,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2)
    | member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_17,negated_conjecture,
    ( ( ~ subset(esk3_0,range(esk1_0,esk2_0,esk4_0))
      | ~ subset(esk3_0,domain(esk1_0,esk2_0,esk4_0)) )
    & subset(identity_relation_of(esk3_0),esk4_0)
    & ilf_type(esk4_0,relation_type(esk1_0,esk2_0))
    & ilf_type(esk3_0,set_type)
    & ilf_type(esk2_0,set_type)
    & ilf_type(esk1_0,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).

fof(c_0_18,plain,
    ! [X33,X34] :
      ( ( ~ ilf_type(X33,set_type)
        | ~ ilf_type(X34,set_type)
        | member(X34,X33)
        | ~ member(ordered_pair(X34,X34),identity_relation_of(X33)) )
      & ( ~ ilf_type(X33,set_type)
        | ~ ilf_type(X34,set_type)
        | member(ordered_pair(X34,X34),identity_relation_of(X33))
        | ~ member(X34,X33) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])])]) ).

fof(c_0_19,plain,
    ! [X73] :
      ( ( ~ ilf_type(X73,set_type)
        | ilf_type(X73,binary_relation_type)
        | ~ ilf_type(X73,set_type)
        | ~ relation_like(X73) )
      & ( ~ ilf_type(X73,set_type)
        | ~ ilf_type(X73,binary_relation_type)
        | ilf_type(X73,set_type) )
      & ( ~ ilf_type(X73,set_type)
        | ~ ilf_type(X73,binary_relation_type)
        | relation_like(X73) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p13])])])]) ).

cnf(c_0_20,plain,
    ( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | relation_like(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,relation_type(X2,X3))
    | ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_22,plain,
    ! [X52,X53,X54] :
      ( ( ~ ilf_type(X52,set_type)
        | ~ ilf_type(X53,set_type)
        | ~ ilf_type(X54,binary_relation_type)
        | ~ member(ordered_pair(X52,X53),X54)
        | member(X53,range_of(X54)) )
      & ( ~ ilf_type(X52,set_type)
        | ~ ilf_type(X53,set_type)
        | ~ ilf_type(X54,binary_relation_type)
        | ~ member(ordered_pair(X52,X53),X54)
        | member(X52,domain_of(X54)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])]) ).

cnf(c_0_23,plain,
    ( ~ member(X1,X3)
    | ~ subset(X3,X2)
    | member(X1,X2) ),
    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_24,negated_conjecture,
    subset(identity_relation_of(esk3_0),esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ member(X1,X2)
    | member(ordered_pair(X1,X1),identity_relation_of(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_16]),c_0_16])]) ).

cnf(c_0_28,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_21,c_0_16]),c_0_16])]) ).

cnf(c_0_29,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(X1,X3),X2)
    | member(X1,domain_of(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ member(X1,identity_relation_of(esk3_0))
    | member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,plain,
    ( ~ member(X1,X2)
    | member(ordered_pair(X1,X1),identity_relation_of(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_16]),c_0_16])]) ).

cnf(c_0_32,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ilf_type(X1,binary_relation_type) ),
    inference(cn,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    ( ~ ilf_type(X1,relation_type(X2,X3))
    | relation_like(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ilf_type(esk4_0,relation_type(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_35,plain,
    ! [X21,X22,X23] :
      ( range(X21,X22,X23) = range_of(X23)
      | ~ ilf_type(X23,relation_type(X21,X22))
      | ~ ilf_type(X22,set_type)
      | ~ ilf_type(X21,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p29])])])]) ).

cnf(c_0_36,plain,
    ( ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(X1,X3),X2)
    | member(X1,domain_of(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_16]),c_0_16])]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ member(X1,esk3_0)
    | member(ordered_pair(X1,X1),esk4_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_38,plain,
    ( ~ relation_like(X1)
    | ilf_type(X1,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_16])]) ).

cnf(c_0_39,negated_conjecture,
    relation_like(esk4_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | range(X1,X2,X3) = range_of(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_41,plain,
    ! [X27,X28,X29] :
      ( domain(X27,X28,X29) = domain_of(X29)
      | ~ ilf_type(X29,relation_type(X27,X28))
      | ~ ilf_type(X28,set_type)
      | ~ ilf_type(X27,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p27])])])]) ).

cnf(c_0_42,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(esk5_2(X1,X2),X2)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ ilf_type(esk4_0,binary_relation_type)
    | ~ member(X1,esk3_0)
    | member(X1,domain_of(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    ilf_type(esk4_0,binary_relation_type),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,plain,
    ( ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(X3,X1),X2)
    | member(X1,range_of(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ subset(esk3_0,range(esk1_0,esk2_0,esk4_0))
    | ~ subset(esk3_0,domain(esk1_0,esk2_0,esk4_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_47,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | range(X1,X2,X3) = range_of(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_16]),c_0_16])]) ).

cnf(c_0_48,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | domain(X1,X2,X3) = domain_of(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    ( ~ member(esk5_2(X1,X2),X2)
    | subset(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_16]),c_0_16])]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ member(X1,esk3_0)
    | member(X1,domain_of(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

cnf(c_0_51,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | subset(X1,X2)
    | member(esk5_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_52,plain,
    ( ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(X3,X1),X2)
    | member(X1,range_of(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_16]),c_0_16])]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ subset(esk3_0,range_of(esk4_0))
    | ~ subset(esk3_0,domain(esk1_0,esk2_0,esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_34])]) ).

cnf(c_0_54,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | domain(X1,X2,X3) = domain_of(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_16]),c_0_16])]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ member(esk5_2(X1,domain_of(esk4_0)),esk3_0)
    | subset(X1,domain_of(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,plain,
    ( member(esk5_2(X1,X2),X1)
    | subset(X1,X2) ),
    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,negated_conjecture,
    ( ~ member(X1,esk3_0)
    | member(X1,range_of(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_37]),c_0_44])]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ subset(esk3_0,range_of(esk4_0))
    | ~ subset(esk3_0,domain_of(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_34])]) ).

cnf(c_0_59,negated_conjecture,
    subset(esk3_0,domain_of(esk4_0)),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ member(esk5_2(X1,range_of(esk4_0)),esk3_0)
    | subset(X1,range_of(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ~ subset(esk3_0,range_of(esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).

cnf(c_0_62,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_56]),c_0_61]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET667+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n008.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 05:32:26 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  % Version: 3.5.1
% 0.18/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.18/0.46  % Starting sh5l with 300s (1) cores
% 0.18/0.46  % sh5l with pid 238536 completed with status 0
% 0.18/0.46  % Result found by sh5l
% 0.18/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.18/0.46  % Starting sh5l with 300s (1) cores
% 0.18/0.46  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/0.46  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.46  % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.18/0.46  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46  % Starting SubtermCWHack with 28s (1) cores
% 0.18/0.46  % SubtermCWHack with pid 238544 completed with status 0
% 0.18/0.46  % Result found by SubtermCWHack
% 0.18/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.18/0.46  % Starting sh5l with 300s (1) cores
% 0.18/0.46  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.18/0.46  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.46  % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.18/0.46  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46  % Starting SubtermCWHack with 28s (1) cores
% 0.18/0.46  % Preprocessing time       : 0.002 s
% 0.18/0.46  
% 0.18/0.46  % Proof found!
% 0.18/0.46  % SZS status Theorem
% 0.18/0.46  % SZS output start CNFRefutation
% See solution above
% 0.18/0.46  % Parsed axioms                        : 32
% 0.18/0.46  % Removed by relevancy pruning/SinE    : 0
% 0.18/0.46  % Initial clauses                      : 64
% 0.18/0.46  % Removed in clause preprocessing      : 1
% 0.18/0.46  % Initial clauses in saturation        : 63
% 0.18/0.46  % Processed clauses                    : 260
% 0.18/0.46  % ...of these trivial                  : 15
% 0.18/0.46  % ...subsumed                          : 42
% 0.18/0.46  % ...remaining for further processing  : 203
% 0.18/0.46  % Other redundant clauses eliminated   : 2
% 0.18/0.46  % Clauses deleted for lack of memory   : 0
% 0.18/0.46  % Backward-subsumed                    : 5
% 0.18/0.46  % Backward-rewritten                   : 10
% 0.18/0.46  % Generated clauses                    : 490
% 0.18/0.46  % ...of the previous two non-redundant : 467
% 0.18/0.46  % ...aggressively subsumed             : 0
% 0.18/0.46  % Contextual simplify-reflections      : 1
% 0.18/0.46  % Paramodulations                      : 488
% 0.18/0.46  % Factorizations                       : 0
% 0.18/0.46  % NegExts                              : 0
% 0.18/0.46  % Equation resolutions                 : 2
% 0.18/0.46  % Disequality decompositions           : 0
% 0.18/0.46  % Total rewrite steps                  : 136
% 0.18/0.46  % ...of those cached                   : 98
% 0.18/0.46  % Propositional unsat checks           : 0
% 0.18/0.46  %    Propositional check models        : 0
% 0.18/0.46  %    Propositional check unsatisfiable : 0
% 0.18/0.46  %    Propositional clauses             : 0
% 0.18/0.46  %    Propositional clauses after purity: 0
% 0.18/0.46  %    Propositional unsat core size     : 0
% 0.18/0.46  %    Propositional preprocessing time  : 0.000
% 0.18/0.46  %    Propositional encoding time       : 0.000
% 0.18/0.46  %    Propositional solver time         : 0.000
% 0.18/0.46  %    Success case prop preproc time    : 0.000
% 0.18/0.46  %    Success case prop encoding time   : 0.000
% 0.18/0.46  %    Success case prop solver time     : 0.000
% 0.18/0.46  % Current number of processed clauses  : 187
% 0.18/0.46  %    Positive orientable unit clauses  : 34
% 0.18/0.46  %    Positive unorientable unit clauses: 0
% 0.18/0.46  %    Negative unit clauses             : 2
% 0.18/0.46  %    Non-unit-clauses                  : 151
% 0.18/0.46  % Current number of unprocessed clauses: 268
% 0.18/0.46  % ...number of literals in the above   : 734
% 0.18/0.46  % Current number of archived formulas  : 0
% 0.18/0.46  % Current number of archived clauses   : 15
% 0.18/0.46  % Clause-clause subsumption calls (NU) : 2273
% 0.18/0.46  % Rec. Clause-clause subsumption calls : 1930
% 0.18/0.46  % Non-unit clause-clause subsumptions  : 41
% 0.18/0.46  % Unit Clause-clause subsumption calls : 264
% 0.18/0.46  % Rewrite failures with RHS unbound    : 0
% 0.18/0.46  % BW rewrite match attempts            : 23
% 0.18/0.46  % BW rewrite match successes           : 9
% 0.18/0.46  % Condensation attempts                : 0
% 0.18/0.46  % Condensation successes               : 0
% 0.18/0.46  % Termbank termtop insertions          : 12532
% 0.18/0.46  % Search garbage collected termcells   : 1328
% 0.18/0.46  
% 0.18/0.46  % -------------------------------------------------
% 0.18/0.46  % User time                : 0.018 s
% 0.18/0.46  % System time              : 0.009 s
% 0.18/0.46  % Total time               : 0.027 s
% 0.18/0.46  % Maximum resident set size: 3672 pages
% 0.18/0.46  
% 0.18/0.46  % -------------------------------------------------
% 0.18/0.46  % User time                : 0.020 s
% 0.18/0.46  % System time              : 0.013 s
% 0.18/0.46  % Total time               : 0.033 s
% 0.18/0.46  % Maximum resident set size: 4864 pages
% 0.18/0.46  % E exiting
%------------------------------------------------------------------------------