TSTP Solution File: SET951+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:21:23 EDT 2023

% Result   : Theorem 114.72s 14.92s
% Output   : CNFRefutation 114.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   64 (  12 unt;   0 def)
%            Number of atoms       :  202 (  68 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  249 ( 111   ~; 109   |;  24   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-4 aty)
%            Number of variables   :  220 (  23 sgn;  60   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t33_zfmisc_1,axiom,
    ! [X1,X2,X3,X4] :
      ( ordered_pair(X1,X2) = ordered_pair(X3,X4)
     => ( X1 = X3
        & X2 = X4 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Nv8zuCe5Ad/E---3.1_18388.p',t33_zfmisc_1) ).

fof(d5_tarski,axiom,
    ! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.Nv8zuCe5Ad/E---3.1_18388.p',d5_tarski) ).

fof(d2_zfmisc_1,axiom,
    ! [X1,X2,X3] :
      ( X3 = cartesian_product2(X1,X2)
    <=> ! [X4] :
          ( in(X4,X3)
        <=> ? [X5,X6] :
              ( in(X5,X1)
              & in(X6,X2)
              & X4 = ordered_pair(X5,X6) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Nv8zuCe5Ad/E---3.1_18388.p',d2_zfmisc_1) ).

fof(commutativity_k2_tarski,axiom,
    ! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.Nv8zuCe5Ad/E---3.1_18388.p',commutativity_k2_tarski) ).

fof(d3_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = set_intersection2(X1,X2)
    <=> ! [X4] :
          ( in(X4,X3)
        <=> ( in(X4,X1)
            & in(X4,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Nv8zuCe5Ad/E---3.1_18388.p',d3_xboole_0) ).

fof(t104_zfmisc_1,conjecture,
    ! [X1,X2,X3,X4,X5] :
      ~ ( in(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)))
        & ! [X6,X7] :
            ~ ( X1 = ordered_pair(X6,X7)
              & in(X6,set_intersection2(X2,X4))
              & in(X7,set_intersection2(X3,X5)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Nv8zuCe5Ad/E---3.1_18388.p',t104_zfmisc_1) ).

fof(c_0_6,plain,
    ! [X54,X55,X56,X57] :
      ( ( X54 = X56
        | ordered_pair(X54,X55) != ordered_pair(X56,X57) )
      & ( X55 = X57
        | ordered_pair(X54,X55) != ordered_pair(X56,X57) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_zfmisc_1])])]) ).

fof(c_0_7,plain,
    ! [X40,X41] : ordered_pair(X40,X41) = unordered_pair(unordered_pair(X40,X41),singleton(X40)),
    inference(variable_rename,[status(thm)],[d5_tarski]) ).

fof(c_0_8,plain,
    ! [X14,X15,X16,X17,X20,X21,X22,X23,X24,X25,X27,X28] :
      ( ( in(esk1_4(X14,X15,X16,X17),X14)
        | ~ in(X17,X16)
        | X16 != cartesian_product2(X14,X15) )
      & ( in(esk2_4(X14,X15,X16,X17),X15)
        | ~ in(X17,X16)
        | X16 != cartesian_product2(X14,X15) )
      & ( X17 = ordered_pair(esk1_4(X14,X15,X16,X17),esk2_4(X14,X15,X16,X17))
        | ~ in(X17,X16)
        | X16 != cartesian_product2(X14,X15) )
      & ( ~ in(X21,X14)
        | ~ in(X22,X15)
        | X20 != ordered_pair(X21,X22)
        | in(X20,X16)
        | X16 != cartesian_product2(X14,X15) )
      & ( ~ in(esk3_3(X23,X24,X25),X25)
        | ~ in(X27,X23)
        | ~ in(X28,X24)
        | esk3_3(X23,X24,X25) != ordered_pair(X27,X28)
        | X25 = cartesian_product2(X23,X24) )
      & ( in(esk4_3(X23,X24,X25),X23)
        | in(esk3_3(X23,X24,X25),X25)
        | X25 = cartesian_product2(X23,X24) )
      & ( in(esk5_3(X23,X24,X25),X24)
        | in(esk3_3(X23,X24,X25),X25)
        | X25 = cartesian_product2(X23,X24) )
      & ( esk3_3(X23,X24,X25) = ordered_pair(esk4_3(X23,X24,X25),esk5_3(X23,X24,X25))
        | in(esk3_3(X23,X24,X25),X25)
        | X25 = cartesian_product2(X23,X24) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_zfmisc_1])])])])])]) ).

cnf(c_0_9,plain,
    ( X1 = X2
    | ordered_pair(X3,X1) != ordered_pair(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X10,X11] : unordered_pair(X10,X11) = unordered_pair(X11,X10),
    inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).

cnf(c_0_12,plain,
    ( X1 = ordered_pair(esk1_4(X2,X3,X4,X1),esk2_4(X2,X3,X4,X1))
    | ~ in(X1,X4)
    | X4 != cartesian_product2(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( X1 = X2
    | unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(unordered_pair(X4,X2),singleton(X4)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_14,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( X1 = unordered_pair(unordered_pair(esk1_4(X2,X3,X4,X1),esk2_4(X2,X3,X4,X1)),singleton(esk1_4(X2,X3,X4,X1)))
    | X4 != cartesian_product2(X2,X3)
    | ~ in(X1,X4) ),
    inference(rw,[status(thm)],[c_0_12,c_0_10]) ).

cnf(c_0_16,plain,
    ( in(esk2_4(X1,X2,X3,X4),X2)
    | ~ in(X4,X3)
    | X3 != cartesian_product2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,plain,
    ( X1 = X2
    | unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(singleton(X4),unordered_pair(X4,X2)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    ( unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3))) = X3
    | ~ in(X3,cartesian_product2(X1,X2)) ),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_14])]) ).

cnf(c_0_19,plain,
    ( in(X5,X6)
    | ~ in(X1,X2)
    | ~ in(X3,X4)
    | X5 != ordered_pair(X1,X3)
    | X6 != cartesian_product2(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_20,plain,
    ( in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
    | ~ in(X3,cartesian_product2(X1,X2)) ),
    inference(er,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    ( esk2_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(unordered_pair(X3,X4),singleton(X3))) = X4
    | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),cartesian_product2(X1,X2)) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18])]) ).

fof(c_0_22,plain,
    ! [X31,X32,X33,X34,X35,X36,X37,X38] :
      ( ( in(X34,X31)
        | ~ in(X34,X33)
        | X33 != set_intersection2(X31,X32) )
      & ( in(X34,X32)
        | ~ in(X34,X33)
        | X33 != set_intersection2(X31,X32) )
      & ( ~ in(X35,X31)
        | ~ in(X35,X32)
        | in(X35,X33)
        | X33 != set_intersection2(X31,X32) )
      & ( ~ in(esk6_3(X36,X37,X38),X38)
        | ~ in(esk6_3(X36,X37,X38),X36)
        | ~ in(esk6_3(X36,X37,X38),X37)
        | X38 = set_intersection2(X36,X37) )
      & ( in(esk6_3(X36,X37,X38),X36)
        | in(esk6_3(X36,X37,X38),X38)
        | X38 = set_intersection2(X36,X37) )
      & ( in(esk6_3(X36,X37,X38),X37)
        | in(esk6_3(X36,X37,X38),X38)
        | X38 = set_intersection2(X36,X37) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])]) ).

fof(c_0_23,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5] :
        ~ ( in(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)))
          & ! [X6,X7] :
              ~ ( X1 = ordered_pair(X6,X7)
                & in(X6,set_intersection2(X2,X4))
                & in(X7,set_intersection2(X3,X5)) ) ),
    inference(assume_negation,[status(cth)],[t104_zfmisc_1]) ).

cnf(c_0_24,plain,
    ( X1 = X2
    | ordered_pair(X1,X3) != ordered_pair(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,plain,
    ( in(X5,X6)
    | X6 != cartesian_product2(X2,X4)
    | X5 != unordered_pair(unordered_pair(X1,X3),singleton(X1))
    | ~ in(X3,X4)
    | ~ in(X1,X2) ),
    inference(rw,[status(thm)],[c_0_19,c_0_10]) ).

cnf(c_0_26,plain,
    ( in(X1,X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | X3 != set_intersection2(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_28,negated_conjecture,
    ! [X52,X53] :
      ( in(esk9_0,set_intersection2(cartesian_product2(esk10_0,esk11_0),cartesian_product2(esk12_0,esk13_0)))
      & ( esk9_0 != ordered_pair(X52,X53)
        | ~ in(X52,set_intersection2(esk10_0,esk12_0))
        | ~ in(X53,set_intersection2(esk11_0,esk13_0)) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).

cnf(c_0_29,plain,
    ( X1 = X2
    | unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(unordered_pair(X2,X4),singleton(X2)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_10]),c_0_10]) ).

cnf(c_0_30,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
    | ~ in(X2,X4)
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])]) ).

cnf(c_0_31,plain,
    ( in(X1,X2)
    | ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_14]) ).

cnf(c_0_32,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X3,X2)) ),
    inference(er,[status(thm)],[c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    in(esk9_0,set_intersection2(cartesian_product2(esk10_0,esk11_0),cartesian_product2(esk12_0,esk13_0))),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    ( in(esk1_4(X1,X2,X3,X4),X1)
    | ~ in(X4,X3)
    | X3 != cartesian_product2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_35,plain,
    ( X1 = X2
    | unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(singleton(X2),unordered_pair(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_14]) ).

cnf(c_0_36,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),cartesian_product2(X3,X4))
    | ~ in(X2,X4)
    | ~ in(X1,X3) ),
    inference(spm,[status(thm)],[c_0_30,c_0_14]) ).

cnf(c_0_37,plain,
    ( in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X4)
    | ~ in(X3,cartesian_product2(X5,X4))
    | ~ in(X3,cartesian_product2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_18]) ).

cnf(c_0_38,negated_conjecture,
    in(esk9_0,cartesian_product2(esk12_0,esk13_0)),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,negated_conjecture,
    ( esk9_0 != ordered_pair(X1,X2)
    | ~ in(X1,set_intersection2(esk10_0,esk12_0))
    | ~ in(X2,set_intersection2(esk11_0,esk13_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_40,plain,
    ( in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
    | ~ in(X3,cartesian_product2(X1,X2)) ),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( esk1_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(unordered_pair(X3,X4),singleton(X3))) = X3
    | ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),cartesian_product2(X1,X2)) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18])]) ).

cnf(c_0_42,plain,
    ( in(X1,cartesian_product2(X2,X3))
    | ~ in(esk2_4(X4,X5,cartesian_product2(X4,X5),X1),X3)
    | ~ in(esk1_4(X4,X5,cartesian_product2(X4,X5),X1),X2)
    | ~ in(X1,cartesian_product2(X4,X5)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_18]) ).

cnf(c_0_43,negated_conjecture,
    ( in(esk2_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk13_0)
    | ~ in(esk9_0,cartesian_product2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | X3 != set_intersection2(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_45,negated_conjecture,
    ( esk9_0 != unordered_pair(unordered_pair(X1,X2),singleton(X1))
    | ~ in(X2,set_intersection2(esk11_0,esk13_0))
    | ~ in(X1,set_intersection2(esk10_0,esk12_0)) ),
    inference(rw,[status(thm)],[c_0_39,c_0_10]) ).

cnf(c_0_46,plain,
    ( in(X1,X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_47,negated_conjecture,
    ( in(esk9_0,cartesian_product2(X1,esk13_0))
    | ~ in(esk1_4(X2,X3,cartesian_product2(X2,X3),esk9_0),X1)
    | ~ in(esk9_0,cartesian_product2(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,plain,
    ( in(X1,X2)
    | ~ in(X1,set_intersection2(X2,X3)) ),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ( unordered_pair(singleton(X1),unordered_pair(X1,X2)) != esk9_0
    | ~ in(X2,set_intersection2(esk11_0,esk13_0))
    | ~ in(X1,set_intersection2(esk10_0,esk12_0)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_14]) ).

cnf(c_0_50,plain,
    ( in(X1,X4)
    | ~ in(X1,X2)
    | ~ in(X1,X3)
    | X4 != set_intersection2(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_51,plain,
    ( in(X1,X2)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_14]) ).

cnf(c_0_52,negated_conjecture,
    ( in(esk9_0,cartesian_product2(X1,esk13_0))
    | ~ in(esk9_0,cartesian_product2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_40]) ).

cnf(c_0_53,negated_conjecture,
    in(esk9_0,cartesian_product2(esk10_0,esk11_0)),
    inference(spm,[status(thm)],[c_0_48,c_0_33]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ in(esk2_4(X1,X2,cartesian_product2(X1,X2),esk9_0),set_intersection2(esk11_0,esk13_0))
    | ~ in(esk1_4(X1,X2,cartesian_product2(X1,X2),esk9_0),set_intersection2(esk10_0,esk12_0))
    | ~ in(esk9_0,cartesian_product2(X1,X2)) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_18])]) ).

cnf(c_0_55,plain,
    ( in(X1,set_intersection2(X2,X3))
    | ~ in(X1,X3)
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_50]) ).

cnf(c_0_56,plain,
    ( in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X4)
    | ~ in(X3,cartesian_product2(X4,X5))
    | ~ in(X3,cartesian_product2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_18]) ).

cnf(c_0_57,negated_conjecture,
    in(esk9_0,cartesian_product2(esk10_0,esk13_0)),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ in(esk1_4(X1,X2,cartesian_product2(X1,X2),esk9_0),set_intersection2(esk10_0,esk12_0))
    | ~ in(esk2_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk13_0)
    | ~ in(esk2_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk11_0)
    | ~ in(esk9_0,cartesian_product2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( in(esk1_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk10_0)
    | ~ in(esk9_0,cartesian_product2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    ( in(esk1_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk12_0)
    | ~ in(esk9_0,cartesian_product2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_38]) ).

cnf(c_0_61,negated_conjecture,
    ( in(esk2_4(X1,X2,cartesian_product2(X1,X2),esk9_0),esk11_0)
    | ~ in(esk9_0,cartesian_product2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    ~ in(esk9_0,cartesian_product2(X1,X2)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_59]),c_0_60]),c_0_61]),c_0_43]) ).

cnf(c_0_63,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_38,c_0_62]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n010.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 16:26:50 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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/tmp/tmp.Nv8zuCe5Ad/E---3.1_18388.p
% 114.72/14.92  # Version: 3.1pre001
% 114.72/14.92  # Preprocessing class: FSMSSMSSSSSNFFN.
% 114.72/14.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 114.72/14.92  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 114.72/14.92  # Starting new_bool_3 with 300s (1) cores
% 114.72/14.92  # Starting new_bool_1 with 300s (1) cores
% 114.72/14.92  # Starting sh5l with 300s (1) cores
% 114.72/14.92  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18466 completed with status 0
% 114.72/14.92  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 114.72/14.92  # Preprocessing class: FSMSSMSSSSSNFFN.
% 114.72/14.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 114.72/14.92  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 114.72/14.92  # No SInE strategy applied
% 114.72/14.92  # Search class: FGHSS-FFMF32-MFFFFFNN
% 114.72/14.92  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 114.72/14.92  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 811s (1) cores
% 114.72/14.92  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 114.72/14.92  # Starting new_bool_3 with 136s (1) cores
% 114.72/14.92  # Starting new_bool_1 with 136s (1) cores
% 114.72/14.92  # Starting sh5l with 136s (1) cores
% 114.72/14.92  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18473 completed with status 0
% 114.72/14.92  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 114.72/14.92  # Preprocessing class: FSMSSMSSSSSNFFN.
% 114.72/14.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 114.72/14.92  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 114.72/14.92  # No SInE strategy applied
% 114.72/14.92  # Search class: FGHSS-FFMF32-MFFFFFNN
% 114.72/14.92  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 114.72/14.92  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 811s (1) cores
% 114.72/14.92  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 114.72/14.92  # Preprocessing time       : 0.001 s
% 114.72/14.92  # Presaturation interreduction done
% 114.72/14.92  
% 114.72/14.92  # Proof found!
% 114.72/14.92  # SZS status Theorem
% 114.72/14.92  # SZS output start CNFRefutation
% See solution above
% 114.72/14.92  # Parsed axioms                        : 12
% 114.72/14.92  # Removed by relevancy pruning/SinE    : 0
% 114.72/14.92  # Initial clauses                      : 26
% 114.72/14.92  # Removed in clause preprocessing      : 1
% 114.72/14.92  # Initial clauses in saturation        : 25
% 114.72/14.92  # Processed clauses                    : 53664
% 114.72/14.92  # ...of these trivial                  : 129
% 114.72/14.92  # ...subsumed                          : 47714
% 114.72/14.92  # ...remaining for further processing  : 5821
% 114.72/14.92  # Other redundant clauses eliminated   : 47
% 114.72/14.92  # Clauses deleted for lack of memory   : 0
% 114.72/14.92  # Backward-subsumed                    : 501
% 114.72/14.92  # Backward-rewritten                   : 2
% 114.72/14.92  # Generated clauses                    : 618537
% 114.72/14.92  # ...of the previous two non-redundant : 615077
% 114.72/14.92  # ...aggressively subsumed             : 0
% 114.72/14.92  # Contextual simplify-reflections      : 13
% 114.72/14.92  # Paramodulations                      : 618334
% 114.72/14.92  # Factorizations                       : 132
% 114.72/14.92  # NegExts                              : 0
% 114.72/14.92  # Equation resolutions                 : 68
% 114.72/14.92  # Total rewrite steps                  : 26944
% 114.72/14.92  # Propositional unsat checks           : 1
% 114.72/14.92  #    Propositional check models        : 0
% 114.72/14.92  #    Propositional check unsatisfiable : 0
% 114.72/14.92  #    Propositional clauses             : 0
% 114.72/14.92  #    Propositional clauses after purity: 0
% 114.72/14.92  #    Propositional unsat core size     : 0
% 114.72/14.92  #    Propositional preprocessing time  : 0.000
% 114.72/14.92  #    Propositional encoding time       : 1.524
% 114.72/14.92  #    Propositional solver time         : 0.184
% 114.72/14.92  #    Success case prop preproc time    : 0.000
% 114.72/14.92  #    Success case prop encoding time   : 0.000
% 114.72/14.92  #    Success case prop solver time     : 0.000
% 114.72/14.92  # Current number of processed clauses  : 5282
% 114.72/14.92  #    Positive orientable unit clauses  : 32
% 114.72/14.92  #    Positive unorientable unit clauses: 2
% 114.72/14.92  #    Negative unit clauses             : 16
% 114.72/14.92  #    Non-unit-clauses                  : 5232
% 114.72/14.92  # Current number of unprocessed clauses: 560304
% 114.72/14.92  # ...number of literals in the above   : 1552336
% 114.72/14.92  # Current number of archived formulas  : 0
% 114.72/14.92  # Current number of archived clauses   : 533
% 114.72/14.92  # Clause-clause subsumption calls (NU) : 8805942
% 114.72/14.92  # Rec. Clause-clause subsumption calls : 5619518
% 114.72/14.92  # Non-unit clause-clause subsumptions  : 38024
% 114.72/14.92  # Unit Clause-clause subsumption calls : 66661
% 114.72/14.92  # Rewrite failures with RHS unbound    : 0
% 114.72/14.92  # BW rewrite match attempts            : 147
% 114.72/14.92  # BW rewrite match successes           : 10
% 114.72/14.92  # Condensation attempts                : 0
% 114.72/14.92  # Condensation successes               : 0
% 114.72/14.92  # Termbank termtop insertions          : 24283721
% 114.72/14.92  
% 114.72/14.92  # -------------------------------------------------
% 114.72/14.92  # User time                : 13.856 s
% 114.72/14.92  # System time              : 0.444 s
% 114.72/14.92  # Total time               : 14.300 s
% 114.72/14.92  # Maximum resident set size: 1772 pages
% 114.72/14.92  
% 114.72/14.92  # -------------------------------------------------
% 114.72/14.92  # User time                : 70.428 s
% 114.72/14.92  # System time              : 0.834 s
% 114.72/14.92  # Total time               : 71.262 s
% 114.72/14.92  # Maximum resident set size: 1684 pages
% 114.72/14.92  % E---3.1 exiting
% 114.72/14.92  % E---3.1 exiting
%------------------------------------------------------------------------------