TSTP Solution File: SEU168+3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU168+3 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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  : 300s
% DateTime : Tue May 21 03:25:43 EDT 2024

% Result   : Theorem 1.17s 0.61s
% Output   : CNFRefutation 1.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   84 (  13 unt;   0 def)
%            Number of atoms       :  341 (   7 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  423 ( 166   ~; 191   |;  54   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-2 aty)
%            Number of variables   :  130 (   1 sgn  51   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t9_tarski,axiom,
    ! [X1] :
    ? [X2] :
      ( in(X1,X2)
      & ! [X3,X4] :
          ( ( in(X3,X2)
            & subset(X4,X3) )
         => in(X4,X2) )
      & ! [X3] :
          ~ ( in(X3,X2)
            & ! [X4] :
                ~ ( in(X4,X2)
                  & ! [X5] :
                      ( subset(X5,X3)
                     => in(X5,X4) ) ) )
      & ! [X3] :
          ~ ( subset(X3,X2)
            & ~ are_equipotent(X3,X2)
            & ~ in(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_tarski) ).

fof(d1_zfmisc_1,axiom,
    ! [X1,X2] :
      ( X2 = powerset(X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> subset(X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(d3_tarski,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( in(X3,X1)
         => in(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(t136_zfmisc_1,conjecture,
    ! [X1] :
    ? [X2] :
      ( in(X1,X2)
      & ! [X3,X4] :
          ( ( in(X3,X2)
            & subset(X4,X3) )
         => in(X4,X2) )
      & ! [X3] :
          ( in(X3,X2)
         => in(powerset(X3),X2) )
      & ! [X3] :
          ~ ( subset(X3,X2)
            & ~ are_equipotent(X3,X2)
            & ~ in(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t136_zfmisc_1) ).

fof(reflexivity_r1_tarski,axiom,
    ! [X1,X2] : subset(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(c_0_5,plain,
    ! [X1] :
    ? [X2] :
      ( in(X1,X2)
      & ! [X3,X4] :
          ( ( in(X3,X2)
            & subset(X4,X3) )
         => in(X4,X2) )
      & ! [X3] :
          ~ ( in(X3,X2)
            & ! [X4] :
                ~ ( in(X4,X2)
                  & ! [X5] :
                      ( subset(X5,X3)
                     => in(X5,X4) ) ) )
      & ! [X3] :
          ~ ( subset(X3,X2)
            & ~ are_equipotent(X3,X2)
            & ~ in(X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[t9_tarski]) ).

fof(c_0_6,plain,
    ! [X8,X9,X10,X11,X12,X13] :
      ( ( ~ in(X10,X9)
        | subset(X10,X8)
        | X9 != powerset(X8) )
      & ( ~ subset(X11,X8)
        | in(X11,X9)
        | X9 != powerset(X8) )
      & ( ~ in(esk1_2(X12,X13),X13)
        | ~ subset(esk1_2(X12,X13),X12)
        | X13 = powerset(X12) )
      & ( in(esk1_2(X12,X13),X13)
        | subset(esk1_2(X12,X13),X12)
        | X13 = powerset(X12) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[d1_zfmisc_1])])])])])])]) ).

fof(c_0_7,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ( ~ subset(X15,X16)
        | ~ in(X17,X15)
        | in(X17,X16) )
      & ( in(esk2_2(X18,X19),X18)
        | subset(X18,X19) )
      & ( ~ in(esk2_2(X18,X19),X19)
        | subset(X18,X19) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_tarski])])])])])])]) ).

fof(c_0_8,plain,
    ! [X30,X32,X33,X34,X36,X37] :
      ( in(X30,esk10_1(X30))
      & ( ~ in(X32,esk10_1(X30))
        | ~ subset(X33,X32)
        | in(X33,esk10_1(X30)) )
      & ( in(esk11_2(X30,X34),esk10_1(X30))
        | ~ in(X34,esk10_1(X30)) )
      & ( ~ subset(X36,X34)
        | in(X36,esk11_2(X30,X34))
        | ~ in(X34,esk10_1(X30)) )
      & ( ~ subset(X37,esk10_1(X30))
        | are_equipotent(X37,esk10_1(X30))
        | in(X37,esk10_1(X30)) ) ),
    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)],[c_0_5])])])])])]) ).

cnf(c_0_9,plain,
    ( subset(X1,X3)
    | ~ in(X1,X2)
    | X2 != powerset(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( subset(X1,X2)
    | ~ in(esk2_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( in(X1,esk11_2(X3,X2))
    | ~ subset(X1,X2)
    | ~ in(X2,esk10_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( subset(X1,X2)
    | ~ in(X1,powerset(X2)) ),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( in(esk2_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
      ? [X2] :
        ( in(X1,X2)
        & ! [X3,X4] :
            ( ( in(X3,X2)
              & subset(X4,X3) )
           => in(X4,X2) )
        & ! [X3] :
            ( in(X3,X2)
           => in(powerset(X3),X2) )
        & ! [X3] :
            ~ ( subset(X3,X2)
              & ~ are_equipotent(X3,X2)
              & ~ in(X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t136_zfmisc_1])]) ).

cnf(c_0_15,plain,
    ( in(X3,esk10_1(X2))
    | ~ in(X1,esk10_1(X2))
    | ~ subset(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,plain,
    ( in(esk11_2(X1,X2),esk10_1(X1))
    | ~ in(X2,esk10_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,plain,
    ( subset(X1,esk11_2(X2,X3))
    | ~ subset(esk2_2(X1,esk11_2(X2,X3)),X3)
    | ~ in(X3,esk10_1(X2)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_18,plain,
    ( subset(esk2_2(powerset(X1),X2),X1)
    | subset(powerset(X1),X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

fof(c_0_19,negated_conjecture,
    ! [X25] :
      ( ( subset(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | in(esk6_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( ~ are_equipotent(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | in(esk6_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( ~ in(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | in(esk6_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( subset(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | in(esk6_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( ~ are_equipotent(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | in(esk6_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( ~ in(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | in(esk6_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( subset(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | subset(esk7_1(X25),esk6_1(X25))
        | ~ in(esk5_0,X25) )
      & ( ~ are_equipotent(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | subset(esk7_1(X25),esk6_1(X25))
        | ~ in(esk5_0,X25) )
      & ( ~ in(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | subset(esk7_1(X25),esk6_1(X25))
        | ~ in(esk5_0,X25) )
      & ( subset(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | subset(esk7_1(X25),esk6_1(X25))
        | ~ in(esk5_0,X25) )
      & ( ~ are_equipotent(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | subset(esk7_1(X25),esk6_1(X25))
        | ~ in(esk5_0,X25) )
      & ( ~ in(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | subset(esk7_1(X25),esk6_1(X25))
        | ~ in(esk5_0,X25) )
      & ( subset(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | ~ in(esk7_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( ~ are_equipotent(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | ~ in(esk7_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( ~ in(esk9_1(X25),X25)
        | in(esk8_1(X25),X25)
        | ~ in(esk7_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( subset(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | ~ in(esk7_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( ~ are_equipotent(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | ~ in(esk7_1(X25),X25)
        | ~ in(esk5_0,X25) )
      & ( ~ in(esk9_1(X25),X25)
        | ~ in(powerset(esk8_1(X25)),X25)
        | ~ in(esk7_1(X25),X25)
        | ~ in(esk5_0,X25) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).

cnf(c_0_20,plain,
    ( in(X1,esk10_1(X2))
    | ~ subset(X1,esk11_2(X2,X3))
    | ~ in(X3,esk10_1(X2)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    ( subset(powerset(X1),esk11_2(X2,X1))
    | ~ in(X1,esk10_1(X2)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( subset(esk9_1(X1),X1)
    | in(esk6_1(X1),X1)
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    ( in(powerset(X1),esk10_1(X2))
    | ~ in(X1,esk10_1(X2)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    ( subset(esk9_1(X1),X1)
    | in(esk8_1(X1),X1)
    | in(esk6_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ( subset(esk9_1(esk10_1(X1)),esk10_1(X1))
    | in(esk6_1(esk10_1(X1)),esk10_1(X1))
    | ~ in(esk5_0,esk10_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_26,plain,
    in(X1,esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,negated_conjecture,
    ( subset(esk9_1(X1),X1)
    | subset(esk7_1(X1),esk6_1(X1))
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,negated_conjecture,
    ( subset(esk9_1(X1),X1)
    | in(esk8_1(X1),X1)
    | subset(esk7_1(X1),esk6_1(X1))
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,negated_conjecture,
    ( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ( subset(esk7_1(esk10_1(X1)),esk6_1(esk10_1(X1)))
    | subset(esk9_1(esk10_1(X1)),esk10_1(X1))
    | ~ in(esk5_0,esk10_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( subset(esk9_1(X1),X1)
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk7_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,negated_conjecture,
    ( subset(esk9_1(X1),X1)
    | in(esk8_1(X1),X1)
    | ~ in(esk7_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_33,negated_conjecture,
    ( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(X1,esk10_1(esk5_0))
    | ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ( subset(esk7_1(esk10_1(esk5_0)),esk6_1(esk10_1(esk5_0)))
    | subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    ( subset(esk9_1(esk10_1(X1)),esk10_1(X1))
    | ~ in(esk7_1(esk10_1(X1)),esk10_1(X1))
    | ~ in(esk5_0,esk10_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ( subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    ( are_equipotent(X1,esk10_1(X2))
    | in(X1,esk10_1(X2))
    | ~ subset(X1,esk10_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_38,negated_conjecture,
    subset(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26])]) ).

cnf(c_0_39,negated_conjecture,
    ( in(esk6_1(X1),X1)
    | ~ are_equipotent(esk9_1(X1),X1)
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_40,negated_conjecture,
    ( are_equipotent(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | ~ in(powerset(esk8_1(esk10_1(esk5_0))),esk10_1(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_26])]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ are_equipotent(esk9_1(X1),X1)
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk7_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_43,negated_conjecture,
    ( in(esk8_1(X1),X1)
    | in(esk6_1(X1),X1)
    | ~ are_equipotent(esk9_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_44,negated_conjecture,
    ( in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | ~ in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_23]) ).

cnf(c_0_45,negated_conjecture,
    ( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | ~ in(powerset(esk8_1(esk10_1(esk5_0))),esk10_1(esk5_0))
    | ~ in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_26])]) ).

cnf(c_0_46,negated_conjecture,
    ( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_26])]),c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    ( in(esk8_1(X1),X1)
    | subset(esk7_1(X1),esk6_1(X1))
    | ~ are_equipotent(esk9_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_48,negated_conjecture,
    ( in(esk8_1(X1),X1)
    | ~ are_equipotent(esk9_1(X1),X1)
    | ~ in(esk7_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_49,negated_conjecture,
    ( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | ~ in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | ~ in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_23]) ).

cnf(c_0_50,negated_conjecture,
    ( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(X1,esk10_1(esk5_0))
    | ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    ( subset(esk7_1(esk10_1(esk5_0)),esk6_1(esk10_1(esk5_0)))
    | in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_26])]) ).

cnf(c_0_52,negated_conjecture,
    ( in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | ~ in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_40]),c_0_26])]),c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ( in(esk8_1(X1),X1)
    | in(esk6_1(X1),X1)
    | ~ in(esk9_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_54,negated_conjecture,
    ( in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    ( in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_26])]) ).

cnf(c_0_56,negated_conjecture,
    ( in(esk8_1(X1),X1)
    | subset(esk7_1(X1),esk6_1(X1))
    | ~ in(esk9_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_57,negated_conjecture,
    ( in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(X1,esk10_1(esk5_0))
    | ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    ( subset(esk7_1(esk10_1(esk5_0)),esk6_1(esk10_1(esk5_0)))
    | in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_26])]) ).

cnf(c_0_59,plain,
    ( in(X1,esk10_1(X2))
    | ~ subset(X1,powerset(X3))
    | ~ in(X3,esk10_1(X2)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_23]) ).

cnf(c_0_60,negated_conjecture,
    ( in(esk8_1(X1),X1)
    | ~ in(esk9_1(X1),X1)
    | ~ in(esk7_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_61,negated_conjecture,
    ( in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0))
    | in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,plain,
    ( subset(powerset(powerset(X1)),X2)
    | in(esk2_2(powerset(powerset(X1)),X2),esk10_1(X3))
    | ~ in(X1,esk10_1(X3)) ),
    inference(spm,[status(thm)],[c_0_59,c_0_18]) ).

cnf(c_0_63,negated_conjecture,
    in(esk8_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_26])]),c_0_54]) ).

cnf(c_0_64,negated_conjecture,
    ( subset(powerset(powerset(esk8_1(esk10_1(esk5_0)))),X1)
    | in(esk2_2(powerset(powerset(esk8_1(esk10_1(esk5_0)))),X1),esk10_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_65,plain,
    ( in(X3,X2)
    | ~ subset(X1,X2)
    | ~ in(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_66,negated_conjecture,
    subset(powerset(powerset(esk8_1(esk10_1(esk5_0)))),esk10_1(esk5_0)),
    inference(spm,[status(thm)],[c_0_10,c_0_64]) ).

cnf(c_0_67,plain,
    ( in(X1,X3)
    | ~ subset(X1,X2)
    | X3 != powerset(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_68,negated_conjecture,
    ( in(X1,esk10_1(esk5_0))
    | ~ in(X1,powerset(powerset(esk8_1(esk10_1(esk5_0))))) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,plain,
    ( in(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(er,[status(thm)],[c_0_67]) ).

fof(c_0_70,plain,
    ! [X23] : subset(X23,X23),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).

cnf(c_0_71,negated_conjecture,
    ( in(X1,esk10_1(esk5_0))
    | ~ subset(X1,powerset(esk8_1(esk10_1(esk5_0)))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_72,plain,
    subset(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    ( in(esk6_1(X1),X1)
    | ~ in(esk9_1(X1),X1)
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_74,negated_conjecture,
    in(powerset(esk8_1(esk10_1(esk5_0))),esk10_1(esk5_0)),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    in(esk6_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_26])]),c_0_46]) ).

cnf(c_0_76,negated_conjecture,
    ( ~ in(esk9_1(X1),X1)
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk7_1(X1),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_77,negated_conjecture,
    ( in(X1,esk10_1(esk5_0))
    | ~ subset(X1,esk6_1(esk10_1(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    ( subset(esk7_1(X1),esk6_1(X1))
    | ~ in(esk9_1(X1),X1)
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_79,negated_conjecture,
    ~ in(esk7_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_74]),c_0_26])]),c_0_52]) ).

cnf(c_0_80,negated_conjecture,
    ( subset(esk7_1(X1),esk6_1(X1))
    | ~ are_equipotent(esk9_1(X1),X1)
    | ~ in(powerset(esk8_1(X1)),X1)
    | ~ in(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_81,negated_conjecture,
    ~ in(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_74]),c_0_26])]),c_0_79]) ).

cnf(c_0_82,negated_conjecture,
    ~ are_equipotent(esk9_1(esk10_1(esk5_0)),esk10_1(esk5_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_80]),c_0_74]),c_0_26])]),c_0_79]) ).

cnf(c_0_83,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_40,c_0_81]),c_0_82]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SEU168+3 : TPTP v8.2.0. Released v3.2.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n013.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sun May 19 16:28:52 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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
% 1.17/0.61  # Version: 3.1.0
% 1.17/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.17/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.17/0.61  # Starting new_bool_3 with 300s (1) cores
% 1.17/0.61  # Starting new_bool_1 with 300s (1) cores
% 1.17/0.61  # Starting sh5l with 300s (1) cores
% 1.17/0.61  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4096 completed with status 0
% 1.17/0.61  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.17/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.17/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.17/0.61  # No SInE strategy applied
% 1.17/0.61  # Search class: FGHSS-FFMF21-SFFFFFNN
% 1.17/0.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.17/0.61  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.17/0.61  # Starting new_bool_3 with 136s (1) cores
% 1.17/0.61  # Starting new_bool_1 with 136s (1) cores
% 1.17/0.61  # Starting sh5l with 136s (1) cores
% 1.17/0.61  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4101 completed with status 0
% 1.17/0.61  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.17/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.17/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.17/0.61  # No SInE strategy applied
% 1.17/0.61  # Search class: FGHSS-FFMF21-SFFFFFNN
% 1.17/0.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.17/0.61  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.17/0.61  # Preprocessing time       : 0.001 s
% 1.17/0.61  # Presaturation interreduction done
% 1.17/0.61  
% 1.17/0.61  # Proof found!
% 1.17/0.61  # SZS status Theorem
% 1.17/0.61  # SZS output start CNFRefutation
% See solution above
% 1.17/0.61  # Parsed axioms                        : 8
% 1.17/0.61  # Removed by relevancy pruning/SinE    : 0
% 1.17/0.61  # Initial clauses                      : 34
% 1.17/0.61  # Removed in clause preprocessing      : 0
% 1.17/0.61  # Initial clauses in saturation        : 34
% 1.17/0.61  # Processed clauses                    : 1293
% 1.17/0.61  # ...of these trivial                  : 0
% 1.17/0.61  # ...subsumed                          : 431
% 1.17/0.61  # ...remaining for further processing  : 861
% 1.17/0.61  # Other redundant clauses eliminated   : 2
% 1.17/0.61  # Clauses deleted for lack of memory   : 0
% 1.17/0.61  # Backward-subsumed                    : 77
% 1.17/0.61  # Backward-rewritten                   : 16
% 1.17/0.61  # Generated clauses                    : 3125
% 1.17/0.61  # ...of the previous two non-redundant : 3093
% 1.17/0.61  # ...aggressively subsumed             : 0
% 1.17/0.61  # Contextual simplify-reflections      : 11
% 1.17/0.61  # Paramodulations                      : 3113
% 1.17/0.61  # Factorizations                       : 8
% 1.17/0.61  # NegExts                              : 0
% 1.17/0.61  # Equation resolutions                 : 2
% 1.17/0.61  # Disequality decompositions           : 0
% 1.17/0.61  # Total rewrite steps                  : 106
% 1.17/0.61  # ...of those cached                   : 91
% 1.17/0.61  # Propositional unsat checks           : 0
% 1.17/0.61  #    Propositional check models        : 0
% 1.17/0.61  #    Propositional check unsatisfiable : 0
% 1.17/0.61  #    Propositional clauses             : 0
% 1.17/0.61  #    Propositional clauses after purity: 0
% 1.17/0.61  #    Propositional unsat core size     : 0
% 1.17/0.61  #    Propositional preprocessing time  : 0.000
% 1.17/0.61  #    Propositional encoding time       : 0.000
% 1.17/0.61  #    Propositional solver time         : 0.000
% 1.17/0.61  #    Success case prop preproc time    : 0.000
% 1.17/0.61  #    Success case prop encoding time   : 0.000
% 1.17/0.61  #    Success case prop solver time     : 0.000
% 1.17/0.61  # Current number of processed clauses  : 730
% 1.17/0.61  #    Positive orientable unit clauses  : 19
% 1.17/0.61  #    Positive unorientable unit clauses: 0
% 1.17/0.61  #    Negative unit clauses             : 48
% 1.17/0.61  #    Non-unit-clauses                  : 663
% 1.17/0.61  # Current number of unprocessed clauses: 1834
% 1.17/0.61  # ...number of literals in the above   : 8313
% 1.17/0.61  # Current number of archived formulas  : 0
% 1.17/0.61  # Current number of archived clauses   : 129
% 1.17/0.61  # Clause-clause subsumption calls (NU) : 104672
% 1.17/0.61  # Rec. Clause-clause subsumption calls : 40699
% 1.17/0.61  # Non-unit clause-clause subsumptions  : 451
% 1.17/0.61  # Unit Clause-clause subsumption calls : 3146
% 1.17/0.61  # Rewrite failures with RHS unbound    : 0
% 1.17/0.61  # BW rewrite match attempts            : 25
% 1.17/0.61  # BW rewrite match successes           : 6
% 1.17/0.61  # Condensation attempts                : 0
% 1.17/0.61  # Condensation successes               : 0
% 1.17/0.61  # Termbank termtop insertions          : 86750
% 1.17/0.61  # Search garbage collected termcells   : 486
% 1.17/0.61  
% 1.17/0.61  # -------------------------------------------------
% 1.17/0.61  # User time                : 0.167 s
% 1.17/0.61  # System time              : 0.004 s
% 1.17/0.61  # Total time               : 0.171 s
% 1.17/0.61  # Maximum resident set size: 1756 pages
% 1.17/0.61  
% 1.17/0.61  # -------------------------------------------------
% 1.17/0.61  # User time                : 0.839 s
% 1.17/0.61  # System time              : 0.009 s
% 1.17/0.61  # Total time               : 0.848 s
% 1.17/0.61  # Maximum resident set size: 1692 pages
% 1.17/0.61  % E---3.1 exiting
% 1.17/0.61  % E exiting
%------------------------------------------------------------------------------