TSTP Solution File: SEU235+3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SEU235+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Sat May  4 09:30:58 EDT 2024

% Result   : Theorem 220.40s 28.25s
% Output   : CNFRefutation 220.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  166 (  17 unt;   0 def)
%            Number of atoms       :  472 (  30 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  512 ( 206   ~; 232   |;  46   &)
%                                         (   3 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :  203 (   5 sgn  90   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t2_subset,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t2_subset) ).

fof(existence_m1_subset_1,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',existence_m1_subset_1) ).

fof(t5_subset,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t5_subset) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t3_subset) ).

fof(reflexivity_r1_tarski,axiom,
    ! [X1,X2] : subset(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',reflexivity_r1_tarski) ).

fof(t32_ordinal1,conjecture,
    ! [X1,X2] :
      ( ordinal(X2)
     => ~ ( subset(X1,X2)
          & X1 != empty_set
          & ! [X3] :
              ( ordinal(X3)
             => ~ ( in(X3,X1)
                  & ! [X4] :
                      ( ordinal(X4)
                     => ( in(X4,X1)
                       => ordinal_subset(X3,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t32_ordinal1) ).

fof(t6_boole,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t6_boole) ).

fof(t7_tarski,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & ! [X3] :
            ~ ( in(X3,X2)
              & ! [X4] :
                  ~ ( in(X4,X2)
                    & in(X4,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t7_tarski) ).

fof(t4_subset,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t4_subset) ).

fof(t1_subset,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => element(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t1_subset) ).

fof(t24_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ~ ( ~ in(X1,X2)
              & X1 != X2
              & ~ in(X2,X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t24_ordinal1) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t7_boole) ).

fof(cc3_ordinal1,axiom,
    ! [X1] :
      ( empty(X1)
     => ( epsilon_transitive(X1)
        & epsilon_connected(X1)
        & ordinal(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',cc3_ordinal1) ).

fof(t23_ordinal1,axiom,
    ! [X1,X2] :
      ( ordinal(X2)
     => ( in(X1,X2)
       => ordinal(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t23_ordinal1) ).

fof(t8_boole,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',t8_boole) ).

fof(antisymmetry_r2_hidden,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',antisymmetry_r2_hidden) ).

fof(d2_ordinal1,axiom,
    ! [X1] :
      ( epsilon_transitive(X1)
    <=> ! [X2] :
          ( in(X2,X1)
         => subset(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',d2_ordinal1) ).

fof(fc2_ordinal1,axiom,
    ( relation(empty_set)
    & relation_empty_yielding(empty_set)
    & function(empty_set)
    & one_to_one(empty_set)
    & empty(empty_set)
    & epsilon_transitive(empty_set)
    & epsilon_connected(empty_set)
    & ordinal(empty_set) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',fc2_ordinal1) ).

fof(redefinition_r1_ordinal1,axiom,
    ! [X1,X2] :
      ( ( ordinal(X1)
        & ordinal(X2) )
     => ( ordinal_subset(X1,X2)
      <=> subset(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',redefinition_r1_ordinal1) ).

fof(connectedness_r1_ordinal1,axiom,
    ! [X1,X2] :
      ( ( ordinal(X1)
        & ordinal(X2) )
     => ( ordinal_subset(X1,X2)
        | ordinal_subset(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',connectedness_r1_ordinal1) ).

fof(cc1_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ( epsilon_transitive(X1)
        & epsilon_connected(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p',cc1_ordinal1) ).

fof(c_0_21,plain,
    ! [X27,X28] :
      ( ~ element(X27,X28)
      | empty(X28)
      | in(X27,X28) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).

fof(c_0_22,plain,
    ! [X51] : element(esk9_1(X51),X51),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).

fof(c_0_23,plain,
    ! [X32,X33,X34] :
      ( ~ in(X32,X33)
      | ~ element(X33,powerset(X34))
      | ~ empty(X34) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).

cnf(c_0_24,plain,
    ( empty(X2)
    | in(X1,X2)
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,plain,
    element(esk9_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_26,plain,
    ! [X49,X50] :
      ( ( ~ element(X49,powerset(X50))
        | subset(X49,X50) )
      & ( ~ subset(X49,X50)
        | element(X49,powerset(X50)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).

fof(c_0_27,plain,
    ! [X48] : subset(X48,X48),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).

cnf(c_0_28,plain,
    ( ~ in(X1,X2)
    | ~ element(X2,powerset(X3))
    | ~ empty(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    ( empty(X1)
    | in(esk9_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    subset(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_32,negated_conjecture,
    ~ ! [X1,X2] :
        ( ordinal(X2)
       => ~ ( subset(X1,X2)
            & X1 != empty_set
            & ! [X3] :
                ( ordinal(X3)
               => ~ ( in(X3,X1)
                    & ! [X4] :
                        ( ordinal(X4)
                       => ( in(X4,X1)
                         => ordinal_subset(X3,X4) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t32_ordinal1])]) ).

fof(c_0_33,plain,
    ! [X47] :
      ( ~ empty(X47)
      | X47 = empty_set ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).

cnf(c_0_34,plain,
    ( empty(X1)
    | ~ element(X1,powerset(X2))
    | ~ empty(X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

fof(c_0_35,plain,
    ! [X37,X38,X40] :
      ( ( in(esk5_2(X37,X38),X38)
        | ~ in(X37,X38) )
      & ( ~ in(X40,X38)
        | ~ in(X40,esk5_2(X37,X38))
        | ~ in(X37,X38) ) ),
    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)],[t7_tarski])])])])])]) ).

cnf(c_0_36,plain,
    element(X1,powerset(X1)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

fof(c_0_37,plain,
    ! [X29,X30,X31] :
      ( ~ in(X29,X30)
      | ~ element(X30,powerset(X31))
      | element(X29,X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).

fof(c_0_38,negated_conjecture,
    ! [X7] :
      ( ordinal(esk2_0)
      & subset(esk1_0,esk2_0)
      & esk1_0 != empty_set
      & ( ordinal(esk3_1(X7))
        | ~ in(X7,esk1_0)
        | ~ ordinal(X7) )
      & ( in(esk3_1(X7),esk1_0)
        | ~ in(X7,esk1_0)
        | ~ ordinal(X7) )
      & ( ~ ordinal_subset(X7,esk3_1(X7))
        | ~ in(X7,esk1_0)
        | ~ ordinal(X7) ) ),
    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_32])])])])])]) ).

cnf(c_0_39,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,plain,
    ( empty(esk9_1(powerset(X1)))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_25]) ).

fof(c_0_41,plain,
    ! [X21,X22] :
      ( ~ in(X21,X22)
      | element(X21,X22) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).

cnf(c_0_42,plain,
    ( in(esk5_2(X1,X2),X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,plain,
    ( empty(powerset(X1))
    | in(X1,powerset(X1)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_36]) ).

cnf(c_0_44,plain,
    ( element(X1,X3)
    | ~ in(X1,X2)
    | ~ element(X2,powerset(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,negated_conjecture,
    subset(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_46,plain,
    ! [X1] :
      ( ordinal(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ~ ( ~ in(X1,X2)
              & X1 != X2
              & ~ in(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[t24_ordinal1]) ).

cnf(c_0_47,plain,
    ( esk9_1(powerset(X1)) = empty_set
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_48,plain,
    ! [X35,X36] :
      ( ~ in(X35,X36)
      | ~ empty(X36) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).

cnf(c_0_49,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_50,plain,
    ( empty(powerset(X1))
    | in(esk5_2(X1,powerset(X1)),powerset(X1)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_51,plain,
    ( element(esk9_1(X1),X2)
    | empty(X1)
    | ~ element(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_29]) ).

cnf(c_0_52,negated_conjecture,
    element(esk1_0,powerset(esk2_0)),
    inference(spm,[status(thm)],[c_0_30,c_0_45]) ).

fof(c_0_53,plain,
    ! [X25,X26] :
      ( ~ ordinal(X25)
      | ~ ordinal(X26)
      | in(X25,X26)
      | X25 = X26
      | in(X26,X25) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).

fof(c_0_54,plain,
    ! [X43] :
      ( ( epsilon_transitive(X43)
        | ~ empty(X43) )
      & ( epsilon_connected(X43)
        | ~ empty(X43) )
      & ( ordinal(X43)
        | ~ empty(X43) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_ordinal1])])])]) ).

cnf(c_0_55,plain,
    ( ~ in(X1,X2)
    | ~ in(X1,esk5_2(X3,X2))
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_56,plain,
    ( empty(powerset(X1))
    | in(empty_set,powerset(X1))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_47]) ).

cnf(c_0_57,plain,
    ( ~ in(X1,X2)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_58,plain,
    ( element(esk5_2(X1,powerset(X1)),powerset(X1))
    | empty(powerset(X1)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_59,plain,
    ! [X23,X24] :
      ( ~ ordinal(X24)
      | ~ in(X23,X24)
      | ordinal(X23) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_ordinal1])])]) ).

cnf(c_0_60,negated_conjecture,
    ( element(esk9_1(esk1_0),esk2_0)
    | empty(esk1_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_61,negated_conjecture,
    ( empty(esk1_0)
    | ~ empty(esk2_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_52]) ).

fof(c_0_62,plain,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    inference(fof_simplification,[status(thm)],[t8_boole]) ).

fof(c_0_63,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).

cnf(c_0_64,plain,
    ( in(X1,X2)
    | X1 = X2
    | in(X2,X1)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_65,plain,
    ( ordinal(X1)
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_66,plain,
    ( ~ empty(X1)
    | ~ in(X2,esk5_2(empty_set,powerset(X1)))
    | ~ in(X2,powerset(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).

cnf(c_0_67,plain,
    ( empty(esk5_2(X1,powerset(X1)))
    | empty(powerset(X1))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_58]) ).

fof(c_0_68,plain,
    ! [X17,X18,X19] :
      ( ( ~ epsilon_transitive(X17)
        | ~ in(X18,X17)
        | subset(X18,X17) )
      & ( in(esk4_1(X19),X19)
        | epsilon_transitive(X19) )
      & ( ~ subset(esk4_1(X19),X19)
        | epsilon_transitive(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)],[d2_ordinal1])])])])])])]) ).

cnf(c_0_69,negated_conjecture,
    ( in(esk3_1(X1),esk1_0)
    | ~ in(X1,esk1_0)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_70,plain,
    ( ordinal(X2)
    | ~ ordinal(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_71,negated_conjecture,
    ( empty(esk1_0)
    | in(esk9_1(esk1_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_60]),c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    ordinal(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_73,negated_conjecture,
    ( ordinal(esk3_1(X1))
    | ~ in(X1,esk1_0)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_74,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_75,plain,
    ! [X61,X62] :
      ( ~ empty(X61)
      | X61 = X62
      | ~ empty(X62) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).

fof(c_0_76,plain,
    ! [X15,X16] :
      ( ~ in(X15,X16)
      | ~ in(X16,X15) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).

cnf(c_0_77,plain,
    ( X1 = X2
    | in(X2,X1)
    | ~ element(X2,powerset(X3))
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ empty(X3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_64]) ).

cnf(c_0_78,plain,
    ( ordinal(esk9_1(powerset(X1)))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_40]) ).

cnf(c_0_79,plain,
    ( empty(powerset(X1))
    | ~ empty(X1)
    | ~ in(esk9_1(powerset(X1)),esk5_2(empty_set,powerset(X1))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_29]) ).

cnf(c_0_80,plain,
    ( esk5_2(X1,powerset(X1)) = empty_set
    | empty(powerset(X1))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_67]) ).

cnf(c_0_81,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[fc2_ordinal1]) ).

cnf(c_0_82,plain,
    ( element(empty_set,powerset(X1))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_47]) ).

cnf(c_0_83,plain,
    ordinal(empty_set),
    inference(split_conjunct,[status(thm)],[fc2_ordinal1]) ).

cnf(c_0_84,plain,
    ( in(esk4_1(X1),X1)
    | epsilon_transitive(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_85,negated_conjecture,
    ( empty(esk1_0)
    | in(esk3_1(esk9_1(esk1_0)),esk1_0)
    | ~ ordinal(esk9_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_29]) ).

cnf(c_0_86,negated_conjecture,
    ( ordinal(esk9_1(esk1_0))
    | empty(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).

cnf(c_0_87,negated_conjecture,
    ( ordinal(esk3_1(esk9_1(esk1_0)))
    | empty(esk1_0)
    | ~ ordinal(esk9_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_29]) ).

fof(c_0_88,plain,
    ! [X11,X12] :
      ( ( ~ ordinal_subset(X11,X12)
        | subset(X11,X12)
        | ~ ordinal(X11)
        | ~ ordinal(X12) )
      & ( ~ subset(X11,X12)
        | ordinal_subset(X11,X12)
        | ~ ordinal(X11)
        | ~ ordinal(X12) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])])]) ).

fof(c_0_89,plain,
    ! [X9,X10] :
      ( ~ ordinal(X9)
      | ~ ordinal(X10)
      | ordinal_subset(X9,X10)
      | ordinal_subset(X10,X9) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_ordinal1])])]) ).

cnf(c_0_90,plain,
    subset(esk9_1(powerset(X1)),X1),
    inference(spm,[status(thm)],[c_0_74,c_0_25]) ).

cnf(c_0_91,plain,
    ( X1 = X2
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_92,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_93,plain,
    ( X1 = esk9_1(powerset(X2))
    | in(esk9_1(powerset(X2)),X1)
    | ~ ordinal(X1)
    | ~ empty(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_25]),c_0_78]) ).

cnf(c_0_94,plain,
    ( empty(powerset(empty_set))
    | ~ in(esk9_1(powerset(empty_set)),empty_set) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).

cnf(c_0_95,plain,
    ( X1 = empty_set
    | in(empty_set,X1)
    | ~ ordinal(X1)
    | ~ empty(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_82]),c_0_83])]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ ordinal_subset(X1,esk3_1(X1))
    | ~ in(X1,esk1_0)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_97,plain,
    ( epsilon_transitive(X1)
    | in(esk5_2(esk4_1(X1),X1),X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_84]) ).

cnf(c_0_98,negated_conjecture,
    ( empty(esk1_0)
    | in(esk3_1(esk9_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_99,negated_conjecture,
    ( ordinal(esk3_1(esk9_1(esk1_0)))
    | empty(esk1_0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_86]) ).

cnf(c_0_100,plain,
    ( subset(X1,X2)
    | ~ ordinal_subset(X1,X2)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_101,plain,
    ( ordinal_subset(X1,X2)
    | ordinal_subset(X2,X1)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_102,plain,
    ( subset(X1,X2)
    | ~ empty(esk9_1(powerset(X2)))
    | ~ empty(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_103,plain,
    ( X1 = esk9_1(powerset(X2))
    | ~ ordinal(X1)
    | ~ empty(X2)
    | ~ in(X1,esk9_1(powerset(X2))) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_104,plain,
    ( esk9_1(powerset(empty_set)) = empty_set
    | empty(powerset(empty_set)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_93]),c_0_83]),c_0_81])]) ).

cnf(c_0_105,plain,
    ( X1 = empty_set
    | ~ ordinal(X1)
    | ~ empty(X2)
    | ~ in(X1,empty_set) ),
    inference(spm,[status(thm)],[c_0_92,c_0_95]) ).

cnf(c_0_106,negated_conjecture,
    ( empty(esk1_0)
    | ~ ordinal_subset(esk9_1(esk1_0),esk3_1(esk9_1(esk1_0)))
    | ~ ordinal(esk9_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_29]) ).

cnf(c_0_107,plain,
    ( element(esk5_2(esk4_1(X1),X1),X2)
    | epsilon_transitive(X1)
    | ~ element(X1,powerset(X2)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_97]) ).

cnf(c_0_108,plain,
    ( epsilon_transitive(X1)
    | ~ element(X1,powerset(X2))
    | ~ empty(X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_84]) ).

cnf(c_0_109,negated_conjecture,
    ( empty(esk1_0)
    | ~ ordinal_subset(esk3_1(esk9_1(esk1_0)),esk3_1(esk3_1(esk9_1(esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_98]),c_0_99]) ).

cnf(c_0_110,plain,
    ( subset(X1,X2)
    | ordinal_subset(X2,X1)
    | ~ ordinal(X2)
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_111,negated_conjecture,
    ( ordinal(esk3_1(esk3_1(esk9_1(esk1_0))))
    | empty(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_98]),c_0_99]) ).

cnf(c_0_112,plain,
    ( ordinal_subset(X1,X2)
    | ~ subset(X1,X2)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_113,plain,
    ( subset(X1,X2)
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(spm,[status(thm)],[c_0_102,c_0_40]) ).

cnf(c_0_114,plain,
    ( X1 = empty_set
    | ~ ordinal(X1)
    | ~ in(X1,empty_set) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_81])]),c_0_105]) ).

cnf(c_0_115,negated_conjecture,
    ( empty(esk1_0)
    | ~ ordinal_subset(esk9_1(esk1_0),esk3_1(esk9_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_106,c_0_86]) ).

cnf(c_0_116,negated_conjecture,
    ( element(esk5_2(esk4_1(esk1_0),esk1_0),esk2_0)
    | epsilon_transitive(esk1_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_52]) ).

cnf(c_0_117,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | ~ empty(esk2_0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_52]) ).

cnf(c_0_118,negated_conjecture,
    ( subset(esk3_1(esk3_1(esk9_1(esk1_0))),esk3_1(esk9_1(esk1_0)))
    | empty(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_99]),c_0_111]) ).

cnf(c_0_119,plain,
    ( ordinal_subset(X1,X2)
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_65]),c_0_65]) ).

cnf(c_0_120,plain,
    ( X1 = empty_set
    | in(empty_set,X1)
    | ~ ordinal(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_64]),c_0_83])]) ).

cnf(c_0_121,negated_conjecture,
    ( subset(esk3_1(esk9_1(esk1_0)),esk9_1(esk1_0))
    | empty(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_110]),c_0_86]),c_0_99]) ).

fof(c_0_122,plain,
    ! [X41] :
      ( ( epsilon_transitive(X41)
        | ~ ordinal(X41) )
      & ( epsilon_connected(X41)
        | ~ ordinal(X41) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])])]) ).

cnf(c_0_123,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | in(esk5_2(esk4_1(esk1_0),esk1_0),esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_116]),c_0_117]) ).

cnf(c_0_124,negated_conjecture,
    ( element(esk3_1(esk3_1(esk9_1(esk1_0))),powerset(esk3_1(esk9_1(esk1_0))))
    | empty(esk1_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_118]) ).

cnf(c_0_125,negated_conjecture,
    ( empty(esk1_0)
    | ~ empty(esk3_1(esk3_1(esk9_1(esk1_0))))
    | ~ empty(esk3_1(esk9_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_109,c_0_119]) ).

cnf(c_0_126,plain,
    ( X1 = empty_set
    | element(empty_set,X2)
    | ~ element(X1,powerset(X2))
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_120]) ).

cnf(c_0_127,negated_conjecture,
    ( element(esk3_1(esk9_1(esk1_0)),powerset(esk9_1(esk1_0)))
    | empty(esk1_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_121]) ).

cnf(c_0_128,plain,
    ( subset(X2,X1)
    | ~ epsilon_transitive(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_129,plain,
    ( epsilon_transitive(X1)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_130,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | in(esk3_1(esk5_2(esk4_1(esk1_0),esk1_0)),esk1_0)
    | ~ ordinal(esk5_2(esk4_1(esk1_0),esk1_0)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_97]) ).

cnf(c_0_131,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | ordinal(esk5_2(esk4_1(esk1_0),esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_123]),c_0_72])]) ).

cnf(c_0_132,negated_conjecture,
    ( empty(esk1_0)
    | ~ empty(esk3_1(esk9_1(esk1_0))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_124]),c_0_125]) ).

cnf(c_0_133,negated_conjecture,
    ( esk3_1(esk9_1(esk1_0)) = empty_set
    | element(empty_set,esk9_1(esk1_0))
    | empty(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_99]) ).

cnf(c_0_134,negated_conjecture,
    ( empty(esk1_0)
    | ~ empty(esk3_1(esk9_1(esk1_0)))
    | ~ empty(esk9_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_115,c_0_119]) ).

cnf(c_0_135,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | ~ ordinal_subset(esk5_2(esk4_1(esk1_0),esk1_0),esk3_1(esk5_2(esk4_1(esk1_0),esk1_0)))
    | ~ ordinal(esk5_2(esk4_1(esk1_0),esk1_0)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_136,plain,
    ( X1 = X2
    | subset(X1,X2)
    | in(X2,X1)
    | ~ ordinal(X2)
    | ~ ordinal(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_64]),c_0_129]) ).

cnf(c_0_137,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | ordinal(esk3_1(esk5_2(esk4_1(esk1_0),esk1_0)))
    | ~ ordinal(esk5_2(esk4_1(esk1_0),esk1_0)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_97]) ).

cnf(c_0_138,plain,
    ( epsilon_transitive(X1)
    | ~ in(X2,esk5_2(esk4_1(X1),X1))
    | ~ in(X2,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_84]) ).

cnf(c_0_139,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | in(esk3_1(esk5_2(esk4_1(esk1_0),esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_140,negated_conjecture,
    ( element(empty_set,esk9_1(esk1_0))
    | empty(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_81])]) ).

cnf(c_0_141,negated_conjecture,
    ( empty(esk1_0)
    | ~ empty(esk9_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_127]),c_0_134]) ).

cnf(c_0_142,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | ~ ordinal_subset(esk5_2(esk4_1(esk1_0),esk1_0),esk3_1(esk5_2(esk4_1(esk1_0),esk1_0))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_131]) ).

cnf(c_0_143,plain,
    ( X1 = X2
    | ordinal_subset(X1,X2)
    | in(X2,X1)
    | ~ ordinal(X2)
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_136]) ).

cnf(c_0_144,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | ordinal(esk3_1(esk5_2(esk4_1(esk1_0),esk1_0))) ),
    inference(spm,[status(thm)],[c_0_137,c_0_131]) ).

cnf(c_0_145,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | ~ in(esk3_1(esk5_2(esk4_1(esk1_0),esk1_0)),esk5_2(esk4_1(esk1_0),esk1_0)) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_146,negated_conjecture,
    ( empty(esk1_0)
    | in(empty_set,esk9_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_140]),c_0_141]) ).

cnf(c_0_147,plain,
    ( subset(esk9_1(X1),X1)
    | empty(X1)
    | ~ epsilon_transitive(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_29]) ).

cnf(c_0_148,negated_conjecture,
    ( esk3_1(esk5_2(esk4_1(esk1_0),esk1_0)) = esk5_2(esk4_1(esk1_0),esk1_0)
    | epsilon_transitive(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_131]),c_0_144]),c_0_145]) ).

cnf(c_0_149,negated_conjecture,
    ( element(empty_set,X1)
    | empty(esk1_0)
    | ~ element(esk9_1(esk1_0),powerset(X1)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_146]) ).

cnf(c_0_150,plain,
    ( element(esk9_1(X1),powerset(X1))
    | empty(X1)
    | ~ epsilon_transitive(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_147]) ).

cnf(c_0_151,negated_conjecture,
    ( epsilon_transitive(esk1_0)
    | ~ ordinal_subset(esk5_2(esk4_1(esk1_0),esk1_0),esk5_2(esk4_1(esk1_0),esk1_0)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_148]) ).

cnf(c_0_152,plain,
    ( ordinal_subset(X1,X1)
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_31]) ).

cnf(c_0_153,negated_conjecture,
    ( element(empty_set,esk1_0)
    | empty(esk1_0)
    | ~ epsilon_transitive(esk1_0) ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_154,negated_conjecture,
    epsilon_transitive(esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_131]) ).

cnf(c_0_155,plain,
    ( subset(X1,X2)
    | subset(X2,X1)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_110]) ).

cnf(c_0_156,negated_conjecture,
    ( element(empty_set,esk1_0)
    | empty(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).

cnf(c_0_157,plain,
    ( element(X1,powerset(X2))
    | subset(X2,X1)
    | ~ ordinal(X2)
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_155]) ).

cnf(c_0_158,negated_conjecture,
    ( empty(esk1_0)
    | in(empty_set,esk1_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_156]) ).

cnf(c_0_159,plain,
    ( subset(X1,X2)
    | ~ ordinal(X2)
    | ~ empty(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_157]),c_0_65]),c_0_113]) ).

cnf(c_0_160,negated_conjecture,
    ( empty(esk1_0)
    | ~ ordinal_subset(empty_set,esk3_1(empty_set)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_158]),c_0_83])]) ).

cnf(c_0_161,plain,
    ( ordinal_subset(X1,X2)
    | ~ ordinal(X2)
    | ~ empty(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_159]),c_0_65]) ).

cnf(c_0_162,negated_conjecture,
    ( empty(esk1_0)
    | ~ ordinal(esk3_1(empty_set)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_81])]) ).

cnf(c_0_163,negated_conjecture,
    empty(esk1_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_158]),c_0_83])]),c_0_162]) ).

cnf(c_0_164,negated_conjecture,
    esk1_0 != empty_set,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_165,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_163]),c_0_164]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU235+3 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 08:01:07 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.gKDgF0MG1r/E---3.1_2159.p
% 220.40/28.25  # Version: 3.1.0
% 220.40/28.25  # Preprocessing class: FSMSSMSSSSSNFFN.
% 220.40/28.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.40/28.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 220.40/28.25  # Starting new_bool_3 with 300s (1) cores
% 220.40/28.25  # Starting new_bool_1 with 300s (1) cores
% 220.40/28.25  # Starting sh5l with 300s (1) cores
% 220.40/28.25  # sh5l with pid 2271 completed with status 0
% 220.40/28.25  # Result found by sh5l
% 220.40/28.25  # Preprocessing class: FSMSSMSSSSSNFFN.
% 220.40/28.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.40/28.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 220.40/28.25  # Starting new_bool_3 with 300s (1) cores
% 220.40/28.25  # Starting new_bool_1 with 300s (1) cores
% 220.40/28.25  # Starting sh5l with 300s (1) cores
% 220.40/28.25  # SinE strategy is gf500_gu_R04_F100_L20000
% 220.40/28.25  # Search class: FGHSS-FFMM21-SFFFFFNN
% 220.40/28.25  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 220.40/28.25  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 181s (1) cores
% 220.40/28.25  # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 2282 completed with status 0
% 220.40/28.25  # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 220.40/28.25  # Preprocessing class: FSMSSMSSSSSNFFN.
% 220.40/28.25  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 220.40/28.25  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 220.40/28.25  # Starting new_bool_3 with 300s (1) cores
% 220.40/28.25  # Starting new_bool_1 with 300s (1) cores
% 220.40/28.25  # Starting sh5l with 300s (1) cores
% 220.40/28.25  # SinE strategy is gf500_gu_R04_F100_L20000
% 220.40/28.25  # Search class: FGHSS-FFMM21-SFFFFFNN
% 220.40/28.25  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 220.40/28.25  # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 181s (1) cores
% 220.40/28.25  # Preprocessing time       : 0.002 s
% 220.40/28.25  # Presaturation interreduction done
% 220.40/28.25  
% 220.40/28.25  # Proof found!
% 220.40/28.25  # SZS status Theorem
% 220.40/28.25  # SZS output start CNFRefutation
% See solution above
% 220.40/28.26  # Parsed axioms                        : 42
% 220.40/28.26  # Removed by relevancy pruning/SinE    : 1
% 220.40/28.26  # Initial clauses                      : 87
% 220.40/28.26  # Removed in clause preprocessing      : 2
% 220.40/28.26  # Initial clauses in saturation        : 85
% 220.40/28.26  # Processed clauses                    : 131210
% 220.40/28.26  # ...of these trivial                  : 11
% 220.40/28.26  # ...subsumed                          : 116879
% 220.40/28.26  # ...remaining for further processing  : 14320
% 220.40/28.26  # Other redundant clauses eliminated   : 0
% 220.40/28.26  # Clauses deleted for lack of memory   : 0
% 220.40/28.26  # Backward-subsumed                    : 2364
% 220.40/28.26  # Backward-rewritten                   : 9574
% 220.40/28.26  # Generated clauses                    : 1401941
% 220.40/28.26  # ...of the previous two non-redundant : 1385276
% 220.40/28.26  # ...aggressively subsumed             : 0
% 220.40/28.26  # Contextual simplify-reflections      : 1784
% 220.40/28.26  # Paramodulations                      : 1401927
% 220.40/28.26  # Factorizations                       : 14
% 220.40/28.26  # NegExts                              : 0
% 220.40/28.26  # Equation resolutions                 : 0
% 220.40/28.26  # Disequality decompositions           : 0
% 220.40/28.26  # Total rewrite steps                  : 132950
% 220.40/28.26  # ...of those cached                   : 132909
% 220.40/28.26  # Propositional unsat checks           : 0
% 220.40/28.26  #    Propositional check models        : 0
% 220.40/28.26  #    Propositional check unsatisfiable : 0
% 220.40/28.26  #    Propositional clauses             : 0
% 220.40/28.26  #    Propositional clauses after purity: 0
% 220.40/28.26  #    Propositional unsat core size     : 0
% 220.40/28.26  #    Propositional preprocessing time  : 0.000
% 220.40/28.26  #    Propositional encoding time       : 0.000
% 220.40/28.26  #    Propositional solver time         : 0.000
% 220.40/28.26  #    Success case prop preproc time    : 0.000
% 220.40/28.26  #    Success case prop encoding time   : 0.000
% 220.40/28.26  #    Success case prop solver time     : 0.000
% 220.40/28.26  # Current number of processed clauses  : 2303
% 220.40/28.26  #    Positive orientable unit clauses  : 41
% 220.40/28.26  #    Positive unorientable unit clauses: 0
% 220.40/28.26  #    Negative unit clauses             : 4
% 220.40/28.26  #    Non-unit-clauses                  : 2258
% 220.40/28.26  # Current number of unprocessed clauses: 1240315
% 220.40/28.26  # ...number of literals in the above   : 6538118
% 220.40/28.26  # Current number of archived formulas  : 0
% 220.40/28.26  # Current number of archived clauses   : 12017
% 220.40/28.26  # Clause-clause subsumption calls (NU) : 59695610
% 220.40/28.26  # Rec. Clause-clause subsumption calls : 27230694
% 220.40/28.26  # Non-unit clause-clause subsumptions  : 121020
% 220.40/28.26  # Unit Clause-clause subsumption calls : 1751
% 220.40/28.26  # Rewrite failures with RHS unbound    : 0
% 220.40/28.26  # BW rewrite match attempts            : 18
% 220.40/28.26  # BW rewrite match successes           : 8
% 220.40/28.26  # Condensation attempts                : 0
% 220.40/28.26  # Condensation successes               : 0
% 220.40/28.26  # Termbank termtop insertions          : 24560263
% 220.40/28.26  # Search garbage collected termcells   : 715
% 220.40/28.26  
% 220.40/28.26  # -------------------------------------------------
% 220.40/28.26  # User time                : 26.851 s
% 220.40/28.26  # System time              : 0.525 s
% 220.40/28.26  # Total time               : 27.377 s
% 220.40/28.26  # Maximum resident set size: 1908 pages
% 220.40/28.26  
% 220.40/28.26  # -------------------------------------------------
% 220.40/28.26  # User time                : 26.853 s
% 220.40/28.26  # System time              : 0.528 s
% 220.40/28.26  # Total time               : 27.381 s
% 220.40/28.26  # Maximum resident set size: 1752 pages
% 220.40/28.26  % E---3.1 exiting
%------------------------------------------------------------------------------