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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET665+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 : n018.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 02:14:55 PM UTC 2026

% Result   : Theorem 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   50 (   9 unt;   0 def)
%            Number of atoms       :  266 (  16 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives :  367 ( 151   ~; 158   |;  30   &)
%                                         (   6 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :  112 (  12 sgn  44   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p19,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( relation_like(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ( member(X2,X1)
             => ? [X3] :
                  ( ? [X4] :
                      ( X2 = ordered_pair(X3,X4)
                      & ilf_type(X4,set_type) )
                  & ilf_type(X3,set_type) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).

fof(p27,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).

fof(p5,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( member(X3,cross_product(X1,X2))
              <=> ? [X4] :
                    ( ? [X5] :
                        ( X3 = ordered_pair(X4,X5)
                        & member(X5,X2)
                        & member(X4,X1)
                        & ilf_type(X5,set_type) )
                    & ilf_type(X4,set_type) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).

fof(p11,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',p11) ).

fof(p3,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ! [X4] :
                  ( ilf_type(X4,set_type)
                 => ( member(ordered_pair(X1,X2),cross_product(X3,X4))
                  <=> ( member(X2,X4)
                      & member(X1,X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

fof(p2,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( member(ordered_pair(X2,X3),identity_relation_of(X1))
              <=> ( X2 = X3
                  & member(X2,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(p8,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ilf_type(identity_relation_of(X1),binary_relation_type) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).

fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ! [X4] :
                    ( ilf_type(X4,set_type)
                   => ( member(ordered_pair(X3,X4),X1)
                     => member(ordered_pair(X3,X4),X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(prove_relset_1_28,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => subset(identity_relation_of(X1),cross_product(X1,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_28) ).

fof(c_0_9,plain,
    ! [X44,X45,X49,X50] :
      ( ( ~ ilf_type(X44,set_type)
        | relation_like(X44)
        | esk10_1(X44) != ordered_pair(X49,X50)
        | ~ ilf_type(X50,set_type)
        | ~ ilf_type(X49,set_type) )
      & ( ~ ilf_type(X44,set_type)
        | relation_like(X44)
        | member(esk10_1(X44),X44) )
      & ( ~ ilf_type(X44,set_type)
        | relation_like(X44)
        | ilf_type(esk10_1(X44),set_type) )
      & ( ~ ilf_type(X44,set_type)
        | ~ relation_like(X44)
        | ~ ilf_type(X45,set_type)
        | ~ member(X45,X44)
        | X45 = ordered_pair(esk8_2(X44,X45),esk9_2(X44,X45)) )
      & ( ~ ilf_type(X44,set_type)
        | ~ relation_like(X44)
        | ~ ilf_type(X45,set_type)
        | ~ member(X45,X44)
        | ilf_type(esk9_2(X44,X45),set_type) )
      & ( ~ ilf_type(X44,set_type)
        | ~ relation_like(X44)
        | ~ ilf_type(X45,set_type)
        | ~ member(X45,X44)
        | ilf_type(esk8_2(X44,X45),set_type) ) ),
    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)],[p19])])])])])]) ).

fof(c_0_10,plain,
    ! [X39] : ilf_type(X39,set_type),
    inference(variable_rename,[status(thm)],[p27]) ).

fof(c_0_11,plain,
    ! [X23,X24,X25,X28,X29] :
      ( ( ~ ilf_type(X23,set_type)
        | ~ ilf_type(X24,set_type)
        | ~ ilf_type(X25,set_type)
        | member(X25,cross_product(X23,X24))
        | X25 != ordered_pair(X28,X29)
        | ~ member(X29,X24)
        | ~ member(X28,X23)
        | ~ ilf_type(X29,set_type)
        | ~ ilf_type(X28,set_type) )
      & ( ~ ilf_type(X23,set_type)
        | ~ ilf_type(X24,set_type)
        | ~ ilf_type(X25,set_type)
        | ~ member(X25,cross_product(X23,X24))
        | X25 = ordered_pair(esk5_3(X23,X24,X25),esk6_3(X23,X24,X25)) )
      & ( ~ ilf_type(X23,set_type)
        | ~ ilf_type(X24,set_type)
        | ~ ilf_type(X25,set_type)
        | ~ member(X25,cross_product(X23,X24))
        | member(esk6_3(X23,X24,X25),X24) )
      & ( ~ ilf_type(X23,set_type)
        | ~ ilf_type(X24,set_type)
        | ~ ilf_type(X25,set_type)
        | ~ member(X25,cross_product(X23,X24))
        | member(esk5_3(X23,X24,X25),X23) )
      & ( ~ ilf_type(X23,set_type)
        | ~ ilf_type(X24,set_type)
        | ~ ilf_type(X25,set_type)
        | ~ member(X25,cross_product(X23,X24))
        | ilf_type(esk6_3(X23,X24,X25),set_type) )
      & ( ~ ilf_type(X23,set_type)
        | ~ ilf_type(X24,set_type)
        | ~ ilf_type(X25,set_type)
        | ~ member(X25,cross_product(X23,X24))
        | ilf_type(esk5_3(X23,X24,X25),set_type) ) ),
    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)],[p5])])])])])]) ).

fof(c_0_12,plain,
    ! [X42] :
      ( ( ~ ilf_type(X42,set_type)
        | ilf_type(X42,binary_relation_type)
        | ~ ilf_type(X42,set_type)
        | ~ relation_like(X42) )
      & ( ~ ilf_type(X42,set_type)
        | ~ ilf_type(X42,binary_relation_type)
        | ilf_type(X42,set_type) )
      & ( ~ ilf_type(X42,set_type)
        | ~ ilf_type(X42,binary_relation_type)
        | relation_like(X42) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p11])])])]) ).

cnf(c_0_13,plain,
    ( ~ ilf_type(X3,set_type)
    | esk10_1(X3) != ordered_pair(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | relation_like(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ member(X1,cross_product(X2,X3))
    | X1 = ordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,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_12]) ).

cnf(c_0_17,plain,
    ( esk10_1(X1) != ordered_pair(X2,X3)
    | relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_18,plain,
    ( ~ member(X3,cross_product(X1,X2))
    | ordered_pair(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3)) = X3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_19,plain,
    ( ~ ilf_type(X1,set_type)
    | relation_like(X1)
    | member(esk10_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_20,plain,
    ! [X19,X20,X21,X22] :
      ( ( ~ ilf_type(X19,set_type)
        | ~ ilf_type(X20,set_type)
        | ~ ilf_type(X21,set_type)
        | ~ ilf_type(X22,set_type)
        | member(ordered_pair(X19,X20),cross_product(X21,X22))
        | ~ member(X20,X22)
        | ~ member(X19,X21) )
      & ( ~ ilf_type(X19,set_type)
        | ~ ilf_type(X20,set_type)
        | ~ ilf_type(X21,set_type)
        | ~ ilf_type(X22,set_type)
        | ~ member(ordered_pair(X19,X20),cross_product(X21,X22))
        | member(X20,X22) )
      & ( ~ ilf_type(X19,set_type)
        | ~ ilf_type(X20,set_type)
        | ~ ilf_type(X21,set_type)
        | ~ ilf_type(X22,set_type)
        | ~ member(ordered_pair(X19,X20),cross_product(X21,X22))
        | member(X19,X21) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])])]) ).

cnf(c_0_21,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ilf_type(X1,binary_relation_type) ),
    inference(cn,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    ( ~ member(esk10_1(X1),cross_product(X2,X3))
    | relation_like(X1) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18])]) ).

cnf(c_0_23,plain,
    ( member(esk10_1(X1),X1)
    | relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_14])]) ).

fof(c_0_24,plain,
    ! [X32,X33,X34] :
      ( ( ~ ilf_type(X32,set_type)
        | ~ ilf_type(X33,set_type)
        | ~ ilf_type(X34,set_type)
        | member(ordered_pair(X33,X34),identity_relation_of(X32))
        | X33 != X34
        | ~ member(X33,X32) )
      & ( ~ ilf_type(X32,set_type)
        | ~ ilf_type(X33,set_type)
        | ~ ilf_type(X34,set_type)
        | ~ member(ordered_pair(X33,X34),identity_relation_of(X32))
        | X33 = X34 )
      & ( ~ ilf_type(X32,set_type)
        | ~ ilf_type(X33,set_type)
        | ~ ilf_type(X34,set_type)
        | ~ member(ordered_pair(X33,X34),identity_relation_of(X32))
        | member(X33,X32) ) ),
    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_25,plain,
    ! [X38] :
      ( ilf_type(identity_relation_of(X38),binary_relation_type)
      | ~ ilf_type(X38,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p8])])]) ).

fof(c_0_26,plain,
    ! [X7,X8,X9,X10] :
      ( ( ~ ilf_type(X7,binary_relation_type)
        | ~ ilf_type(X8,binary_relation_type)
        | subset(X7,X8)
        | ~ member(ordered_pair(esk2_2(X7,X8),esk3_2(X7,X8)),X8) )
      & ( ~ ilf_type(X7,binary_relation_type)
        | ~ ilf_type(X8,binary_relation_type)
        | subset(X7,X8)
        | member(ordered_pair(esk2_2(X7,X8),esk3_2(X7,X8)),X7) )
      & ( ~ ilf_type(X7,binary_relation_type)
        | ~ ilf_type(X8,binary_relation_type)
        | subset(X7,X8)
        | ilf_type(esk3_2(X7,X8),set_type) )
      & ( ~ ilf_type(X7,binary_relation_type)
        | ~ ilf_type(X8,binary_relation_type)
        | subset(X7,X8)
        | ilf_type(esk2_2(X7,X8),set_type) )
      & ( ~ ilf_type(X7,binary_relation_type)
        | ~ ilf_type(X8,binary_relation_type)
        | member(ordered_pair(X9,X10),X8)
        | ~ member(ordered_pair(X9,X10),X7)
        | ~ ilf_type(X10,set_type)
        | ~ ilf_type(X9,set_type)
        | ~ subset(X7,X8) ) ),
    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)],[p1])])])])])]) ).

cnf(c_0_27,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ member(X3,X4)
    | ~ member(X1,X2)
    | member(ordered_pair(X1,X3),cross_product(X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,plain,
    ( ~ relation_like(X1)
    | ilf_type(X1,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_14])]) ).

cnf(c_0_29,plain,
    relation_like(cross_product(X1,X2)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_30,plain,
    ( ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(ordered_pair(X1,X2),identity_relation_of(X3))
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,plain,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(identity_relation_of(X1),binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,plain,
    ( ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X2)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    ( ~ member(X1,X3)
    | ~ member(X2,X4)
    | member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_14]),c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_34,plain,
    ilf_type(cross_product(X1,X2),binary_relation_type),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( ~ member(ordered_pair(X1,X2),identity_relation_of(X3))
    | X1 = X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_14]),c_0_14]),c_0_14])]) ).

cnf(c_0_36,plain,
    ( ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | subset(X1,X2)
    | member(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    ilf_type(identity_relation_of(X1),binary_relation_type),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_14])]) ).

cnf(c_0_38,plain,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X1,X3),identity_relation_of(X2))
    | member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_39,plain,
    ( ~ ilf_type(X1,binary_relation_type)
    | ~ member(esk2_2(X1,cross_product(X2,X3)),X2)
    | ~ member(esk3_2(X1,cross_product(X2,X3)),X3)
    | subset(X1,cross_product(X2,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_40,plain,
    ( ~ ilf_type(X2,binary_relation_type)
    | subset(identity_relation_of(X1),X2)
    | esk3_2(identity_relation_of(X1),X2) = esk2_2(identity_relation_of(X1),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_41,plain,
    ( ~ member(ordered_pair(X1,X3),identity_relation_of(X2))
    | member(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_14]),c_0_14]),c_0_14])]) ).

fof(c_0_42,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => subset(identity_relation_of(X1),cross_product(X1,X1)) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_28]) ).

cnf(c_0_43,plain,
    ( ~ member(esk2_2(identity_relation_of(X1),cross_product(X2,X3)),X2)
    | ~ member(esk2_2(identity_relation_of(X1),cross_product(X2,X3)),X3)
    | subset(identity_relation_of(X1),cross_product(X2,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_37]),c_0_34])]) ).

cnf(c_0_44,plain,
    ( ~ ilf_type(X2,binary_relation_type)
    | subset(identity_relation_of(X1),X2)
    | member(esk2_2(identity_relation_of(X1),X2),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_37])]) ).

fof(c_0_45,negated_conjecture,
    ( ~ subset(identity_relation_of(esk1_0),cross_product(esk1_0,esk1_0))
    & 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_42])])])]) ).

cnf(c_0_46,plain,
    ( ~ member(esk2_2(identity_relation_of(X1),cross_product(X2,X1)),X2)
    | subset(identity_relation_of(X1),cross_product(X2,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_34])]) ).

cnf(c_0_47,negated_conjecture,
    ~ subset(identity_relation_of(esk1_0),cross_product(esk1_0,esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_48,plain,
    subset(identity_relation_of(X1),cross_product(X1,X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_34])]) ).

cnf(c_0_49,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET665+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n018.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Mon Sep 21 05:33:59 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  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
% 0.17/0.47  % Version: 3.5.1
% 0.17/0.47  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  % Starting new_bool_1 with 300s (1) cores
% 0.17/0.47  % Starting sh5l with 300s (1) cores
% 0.17/0.47  % new_bool_3 with pid 1065386 completed with status 0
% 0.17/0.47  % Result found by new_bool_3
% 0.17/0.47  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.47  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47  % Search class: FGUSF-FFMF31-SFFFFFNN
% 0.17/0.47  % partial match(1): FGHSF-FFMF31-SFFFFFNN
% 0.17/0.47  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  % Starting SubtermCWHack with 31s (1) cores
% 0.17/0.47  % SubtermCWHack with pid 1065389 completed with status 0
% 0.17/0.47  % Result found by SubtermCWHack
% 0.17/0.47  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.17/0.47  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47  % Search class: FGUSF-FFMF31-SFFFFFNN
% 0.17/0.47  % partial match(1): FGHSF-FFMF31-SFFFFFNN
% 0.17/0.47  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  % Starting SubtermCWHack with 31s (1) cores
% 0.17/0.47  % Preprocessing time       : 0.002 s
% 0.17/0.47  
% 0.17/0.47  % Proof found!
% 0.17/0.47  % SZS status Theorem
% 0.17/0.47  % SZS output start CNFRefutation
% See solution above
% 0.17/0.48  % Parsed axioms                        : 28
% 0.17/0.48  % Removed by relevancy pruning/SinE    : 10
% 0.17/0.48  % Initial clauses                      : 44
% 0.17/0.48  % Removed in clause preprocessing      : 1
% 0.17/0.48  % Initial clauses in saturation        : 43
% 0.17/0.48  % Processed clauses                    : 140
% 0.17/0.48  % ...of these trivial                  : 10
% 0.17/0.48  % ...subsumed                          : 16
% 0.17/0.48  % ...remaining for further processing  : 114
% 0.17/0.48  % Other redundant clauses eliminated   : 5
% 0.17/0.48  % Clauses deleted for lack of memory   : 0
% 0.17/0.48  % Backward-subsumed                    : 1
% 0.17/0.48  % Backward-rewritten                   : 4
% 0.17/0.48  % Generated clauses                    : 879
% 0.17/0.48  % ...of the previous two non-redundant : 860
% 0.17/0.48  % ...aggressively subsumed             : 0
% 0.17/0.48  % Contextual simplify-reflections      : 0
% 0.17/0.48  % Paramodulations                      : 874
% 0.17/0.48  % Factorizations                       : 0
% 0.17/0.48  % NegExts                              : 0
% 0.17/0.48  % Equation resolutions                 : 5
% 0.17/0.48  % Disequality decompositions           : 0
% 0.17/0.48  % Total rewrite steps                  : 141
% 0.17/0.48  % ...of those cached                   : 103
% 0.17/0.48  % Propositional unsat checks           : 0
% 0.17/0.48  %    Propositional check models        : 0
% 0.17/0.48  %    Propositional check unsatisfiable : 0
% 0.17/0.48  %    Propositional clauses             : 0
% 0.17/0.48  %    Propositional clauses after purity: 0
% 0.17/0.48  %    Propositional unsat core size     : 0
% 0.17/0.48  %    Propositional preprocessing time  : 0.000
% 0.17/0.48  %    Propositional encoding time       : 0.000
% 0.17/0.48  %    Propositional solver time         : 0.000
% 0.17/0.48  %    Success case prop preproc time    : 0.000
% 0.17/0.48  %    Success case prop encoding time   : 0.000
% 0.17/0.48  %    Success case prop solver time     : 0.000
% 0.17/0.48  % Current number of processed clauses  : 106
% 0.17/0.48  %    Positive orientable unit clauses  : 7
% 0.17/0.48  %    Positive unorientable unit clauses: 0
% 0.17/0.48  %    Negative unit clauses             : 0
% 0.17/0.48  %    Non-unit-clauses                  : 99
% 0.17/0.48  % Current number of unprocessed clauses: 763
% 0.17/0.48  % ...number of literals in the above   : 4398
% 0.17/0.48  % Current number of archived formulas  : 0
% 0.17/0.48  % Current number of archived clauses   : 5
% 0.17/0.48  % Clause-clause subsumption calls (NU) : 2349
% 0.17/0.48  % Rec. Clause-clause subsumption calls : 876
% 0.17/0.48  % Non-unit clause-clause subsumptions  : 16
% 0.17/0.48  % Unit Clause-clause subsumption calls : 50
% 0.17/0.48  % Rewrite failures with RHS unbound    : 0
% 0.17/0.48  % BW rewrite match attempts            : 6
% 0.17/0.48  % BW rewrite match successes           : 4
% 0.17/0.48  % Condensation attempts                : 0
% 0.17/0.48  % Condensation successes               : 0
% 0.17/0.48  % Termbank termtop insertions          : 28656
% 0.17/0.48  % Search garbage collected termcells   : 1090
% 0.17/0.48  
% 0.17/0.48  % -------------------------------------------------
% 0.17/0.48  % User time                : 0.030 s
% 0.17/0.48  % System time              : 0.005 s
% 0.17/0.48  % Total time               : 0.035 s
% 0.17/0.48  % Maximum resident set size: 3664 pages
% 0.17/0.48  
% 0.17/0.48  % -------------------------------------------------
% 0.17/0.48  % User time                : 0.033 s
% 0.17/0.48  % System time              : 0.009 s
% 0.17/0.48  % Total time               : 0.042 s
% 0.17/0.48  % Maximum resident set size: 4864 pages
% 0.17/0.48  % E exiting
%------------------------------------------------------------------------------