TSTP Solution File: SEU238+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU238+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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  : 600s
% DateTime : Tue Jul 19 09:18:11 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   71 (  12 unt;   0 def)
%            Number of atoms       :  251 (  27 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  317 ( 137   ~; 129   |;  30   &)
%                                         (   4 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   99 (   2 sgn  45   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t42_ordinal1,conjecture,
    ! [X1] :
      ( ordinal(X1)
     => ( ~ ( ~ being_limit_ordinal(X1)
            & ! [X2] :
                ( ordinal(X2)
               => X1 != succ(X2) ) )
        & ~ ( ? [X2] :
                ( ordinal(X2)
                & X1 = succ(X2) )
            & being_limit_ordinal(X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t42_ordinal1) ).

fof(connectedness_r1_ordinal1,axiom,
    ! [X1,X2] :
      ( ( ordinal(X1)
        & ordinal(X2) )
     => ( ordinal_subset(X1,X2)
        | ordinal_subset(X2,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',connectedness_r1_ordinal1) ).

fof(fc3_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ( ~ empty(succ(X1))
        & epsilon_transitive(succ(X1))
        & epsilon_connected(succ(X1))
        & ordinal(succ(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc3_ordinal1) ).

fof(d1_ordinal1,axiom,
    ! [X1] : succ(X1) = set_union2(X1,singleton(X1)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_ordinal1) ).

fof(t10_ordinal1,axiom,
    ! [X1] : in(X1,succ(X1)),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t10_ordinal1) ).

fof(antisymmetry_r2_xboole_0,axiom,
    ! [X1,X2] :
      ( proper_subset(X1,X2)
     => ~ proper_subset(X2,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',antisymmetry_r2_xboole_0) ).

fof(d8_xboole_0,axiom,
    ! [X1,X2] :
      ( proper_subset(X1,X2)
    <=> ( subset(X1,X2)
        & X1 != X2 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d8_xboole_0) ).

fof(t33_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ( in(X1,X2)
          <=> ordinal_subset(succ(X1),X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t33_ordinal1) ).

fof(redefinition_r1_ordinal1,axiom,
    ! [X1,X2] :
      ( ( ordinal(X1)
        & ordinal(X2) )
     => ( ordinal_subset(X1,X2)
      <=> subset(X1,X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_r1_ordinal1) ).

fof(antisymmetry_r2_hidden,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',antisymmetry_r2_hidden) ).

fof(t41_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ( being_limit_ordinal(X1)
      <=> ! [X2] :
            ( ordinal(X2)
           => ( in(X2,X1)
             => in(succ(X2),X1) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t41_ordinal1) ).

fof(t21_ordinal1,axiom,
    ! [X1] :
      ( epsilon_transitive(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ( proper_subset(X1,X2)
           => in(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t21_ordinal1) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ordinal(X1)
       => ( ~ ( ~ being_limit_ordinal(X1)
              & ! [X2] :
                  ( ordinal(X2)
                 => X1 != succ(X2) ) )
          & ~ ( ? [X2] :
                  ( ordinal(X2)
                  & X1 = succ(X2) )
              & being_limit_ordinal(X1) ) ) ),
    inference(assume_negation,[status(cth)],[t42_ordinal1]) ).

fof(c_0_13,plain,
    ! [X3,X4] :
      ( ~ ordinal(X3)
      | ~ ordinal(X4)
      | ordinal_subset(X3,X4)
      | ordinal_subset(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_ordinal1])]) ).

fof(c_0_14,negated_conjecture,
    ! [X4] :
      ( ordinal(esk15_0)
      & ( ordinal(esk16_0)
        | ~ being_limit_ordinal(esk15_0) )
      & ( esk15_0 = succ(esk16_0)
        | ~ being_limit_ordinal(esk15_0) )
      & ( being_limit_ordinal(esk15_0)
        | ~ being_limit_ordinal(esk15_0) )
      & ( ordinal(esk16_0)
        | ~ ordinal(X4)
        | esk15_0 != succ(X4) )
      & ( esk15_0 = succ(esk16_0)
        | ~ ordinal(X4)
        | esk15_0 != succ(X4) )
      & ( being_limit_ordinal(esk15_0)
        | ~ ordinal(X4)
        | esk15_0 != succ(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_12])])])])])])])]) ).

fof(c_0_15,plain,
    ! [X2] :
      ( ( ~ empty(succ(X2))
        | ~ ordinal(X2) )
      & ( epsilon_transitive(succ(X2))
        | ~ ordinal(X2) )
      & ( epsilon_connected(succ(X2))
        | ~ ordinal(X2) )
      & ( ordinal(succ(X2))
        | ~ ordinal(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc3_ordinal1])])])]) ).

fof(c_0_16,plain,
    ! [X2] : succ(X2) = set_union2(X2,singleton(X2)),
    inference(variable_rename,[status(thm)],[d1_ordinal1]) ).

cnf(c_0_17,plain,
    ( ordinal_subset(X1,X2)
    | ordinal_subset(X2,X1)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ordinal(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    ( ordinal(succ(X1))
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    succ(X1) = set_union2(X1,singleton(X1)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_21,plain,
    ! [X2] : in(X2,succ(X2)),
    inference(variable_rename,[status(thm)],[t10_ordinal1]) ).

fof(c_0_22,plain,
    ! [X3,X4] :
      ( ~ proper_subset(X3,X4)
      | ~ proper_subset(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[antisymmetry_r2_xboole_0])])]) ).

fof(c_0_23,plain,
    ! [X3,X4,X3,X4] :
      ( ( subset(X3,X4)
        | ~ proper_subset(X3,X4) )
      & ( X3 != X4
        | ~ proper_subset(X3,X4) )
      & ( ~ subset(X3,X4)
        | X3 = X4
        | proper_subset(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])])])]) ).

fof(c_0_24,plain,
    ! [X3,X4] :
      ( ( ~ in(X3,X4)
        | ordinal_subset(succ(X3),X4)
        | ~ ordinal(X4)
        | ~ ordinal(X3) )
      & ( ~ ordinal_subset(succ(X3),X4)
        | in(X3,X4)
        | ~ ordinal(X4)
        | ~ ordinal(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_ordinal1])])])])])]) ).

fof(c_0_25,plain,
    ! [X3,X4] :
      ( ( ~ ordinal_subset(X3,X4)
        | subset(X3,X4)
        | ~ ordinal(X3)
        | ~ ordinal(X4) )
      & ( ~ subset(X3,X4)
        | ordinal_subset(X3,X4)
        | ~ ordinal(X3)
        | ~ ordinal(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])]) ).

cnf(c_0_26,negated_conjecture,
    ( ordinal_subset(esk15_0,X1)
    | ordinal_subset(X1,esk15_0)
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,plain,
    ( ordinal(set_union2(X1,singleton(X1)))
    | ~ ordinal(X1) ),
    inference(rw,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_28,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ in(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden])])]) ).

cnf(c_0_29,plain,
    in(X1,succ(X1)),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_30,plain,
    ! [X3,X4] :
      ( ( ~ being_limit_ordinal(X3)
        | ~ ordinal(X4)
        | ~ in(X4,X3)
        | in(succ(X4),X3)
        | ~ ordinal(X3) )
      & ( ordinal(esk14_1(X3))
        | being_limit_ordinal(X3)
        | ~ ordinal(X3) )
      & ( in(esk14_1(X3),X3)
        | being_limit_ordinal(X3)
        | ~ ordinal(X3) )
      & ( ~ in(succ(esk14_1(X3)),X3)
        | being_limit_ordinal(X3)
        | ~ ordinal(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t41_ordinal1])])])])])])]) ).

cnf(c_0_31,plain,
    ( ~ proper_subset(X1,X2)
    | ~ proper_subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,plain,
    ( proper_subset(X1,X2)
    | X1 = X2
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    ( ordinal_subset(succ(X1),X2)
    | ~ ordinal(X1)
    | ~ ordinal(X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_34,plain,
    ! [X3,X4] :
      ( ~ epsilon_transitive(X3)
      | ~ ordinal(X4)
      | ~ proper_subset(X3,X4)
      | in(X3,X4) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_ordinal1])])])])]) ).

cnf(c_0_35,plain,
    ( subset(X2,X1)
    | ~ ordinal(X1)
    | ~ ordinal(X2)
    | ~ ordinal_subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    ( ordinal_subset(set_union2(X1,singleton(X1)),esk15_0)
    | ordinal_subset(esk15_0,set_union2(X1,singleton(X1)))
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_37,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    in(X1,set_union2(X1,singleton(X1))),
    inference(rw,[status(thm)],[c_0_29,c_0_20]) ).

cnf(c_0_39,plain,
    ( in(succ(X2),X1)
    | ~ ordinal(X1)
    | ~ in(X2,X1)
    | ~ ordinal(X2)
    | ~ being_limit_ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,plain,
    ( X1 = X2
    | ~ subset(X1,X2)
    | ~ proper_subset(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_41,plain,
    ( ordinal_subset(set_union2(X1,singleton(X1)),X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(rw,[status(thm)],[c_0_33,c_0_20]) ).

cnf(c_0_42,plain,
    ( in(X1,X2)
    | ~ proper_subset(X1,X2)
    | ~ ordinal(X2)
    | ~ epsilon_transitive(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,negated_conjecture,
    ( subset(set_union2(X1,singleton(X1)),esk15_0)
    | ordinal_subset(esk15_0,set_union2(X1,singleton(X1)))
    | ~ ordinal(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_18])]),c_0_27]) ).

cnf(c_0_44,plain,
    ( epsilon_transitive(succ(X1))
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_45,plain,
    ~ in(set_union2(X1,singleton(X1)),X1),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_46,plain,
    ( in(set_union2(X2,singleton(X2)),X1)
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ being_limit_ordinal(X1)
    | ~ in(X2,X1) ),
    inference(rw,[status(thm)],[c_0_39,c_0_20]) ).

cnf(c_0_47,plain,
    ( X1 = X2
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_32]) ).

cnf(c_0_48,plain,
    ( subset(set_union2(X1,singleton(X1)),X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_41]),c_0_27]) ).

cnf(c_0_49,plain,
    ( X1 = X2
    | in(X1,X2)
    | ~ subset(X1,X2)
    | ~ epsilon_transitive(X1)
    | ~ ordinal(X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_32]) ).

cnf(c_0_50,negated_conjecture,
    ( subset(set_union2(X1,singleton(X1)),esk15_0)
    | subset(esk15_0,set_union2(X1,singleton(X1)))
    | ~ ordinal(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_43]),c_0_18])]),c_0_27]) ).

cnf(c_0_51,plain,
    ( epsilon_transitive(set_union2(X1,singleton(X1)))
    | ~ ordinal(X1) ),
    inference(rw,[status(thm)],[c_0_44,c_0_20]) ).

cnf(c_0_52,plain,
    ( ~ being_limit_ordinal(X1)
    | ~ ordinal(X1)
    | ~ in(X1,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    ( esk15_0 = succ(esk16_0)
    | ~ being_limit_ordinal(esk15_0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_54,plain,
    ( being_limit_ordinal(X1)
    | ~ ordinal(X1)
    | ~ in(succ(esk14_1(X1)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_55,plain,
    ( set_union2(X1,singleton(X1)) = X2
    | ~ subset(X2,set_union2(X1,singleton(X1)))
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    ( set_union2(X1,singleton(X1)) = esk15_0
    | subset(esk15_0,set_union2(X1,singleton(X1)))
    | in(set_union2(X1,singleton(X1)),esk15_0)
    | ~ ordinal(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_18])]),c_0_51]) ).

cnf(c_0_57,plain,
    ( ~ being_limit_ordinal(set_union2(X1,singleton(X1)))
    | ~ ordinal(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_38])]),c_0_27]) ).

cnf(c_0_58,negated_conjecture,
    ( esk15_0 = set_union2(esk16_0,singleton(esk16_0))
    | ~ being_limit_ordinal(esk15_0) ),
    inference(rw,[status(thm)],[c_0_53,c_0_20]) ).

cnf(c_0_59,negated_conjecture,
    ( ordinal(esk16_0)
    | ~ being_limit_ordinal(esk15_0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_60,negated_conjecture,
    ( being_limit_ordinal(esk15_0)
    | esk15_0 != succ(X1)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_61,plain,
    ( being_limit_ordinal(X1)
    | ~ ordinal(X1)
    | ~ in(set_union2(esk14_1(X1),singleton(esk14_1(X1))),X1) ),
    inference(rw,[status(thm)],[c_0_54,c_0_20]) ).

cnf(c_0_62,negated_conjecture,
    ( set_union2(X1,singleton(X1)) = esk15_0
    | in(set_union2(X1,singleton(X1)),esk15_0)
    | ~ ordinal(X1)
    | ~ in(X1,esk15_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_18])]) ).

cnf(c_0_63,negated_conjecture,
    ~ being_limit_ordinal(esk15_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    ( being_limit_ordinal(esk15_0)
    | esk15_0 != set_union2(X1,singleton(X1))
    | ~ ordinal(X1) ),
    inference(rw,[status(thm)],[c_0_60,c_0_20]) ).

cnf(c_0_65,negated_conjecture,
    ( set_union2(esk14_1(esk15_0),singleton(esk14_1(esk15_0))) = esk15_0
    | ~ ordinal(esk14_1(esk15_0))
    | ~ in(esk14_1(esk15_0),esk15_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_18])]),c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ ordinal(esk14_1(esk15_0))
    | ~ in(esk14_1(esk15_0),esk15_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_63]) ).

cnf(c_0_67,plain,
    ( being_limit_ordinal(X1)
    | in(esk14_1(X1),X1)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_68,negated_conjecture,
    ~ ordinal(esk14_1(esk15_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_18])]),c_0_63]) ).

cnf(c_0_69,plain,
    ( being_limit_ordinal(X1)
    | ordinal(esk14_1(X1))
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_18])]),c_0_63]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU238+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 21:00:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.016 s
% 0.23/1.41  
% 0.23/1.41  # Failure: Out of unprocessed clauses!
% 0.23/1.41  # OLD status GaveUp
% 0.23/1.41  # Parsed axioms                        : 59
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 44
% 0.23/1.41  # Initial clauses                      : 35
% 0.23/1.41  # Removed in clause preprocessing      : 1
% 0.23/1.41  # Initial clauses in saturation        : 34
% 0.23/1.41  # Processed clauses                    : 45
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 5
% 0.23/1.41  # ...remaining for further processing  : 40
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 0
% 0.23/1.41  # Generated clauses                    : 14
% 0.23/1.41  # ...of the previous two non-trivial   : 11
% 0.23/1.41  # Contextual simplify-reflections      : 6
% 0.23/1.41  # Paramodulations                      : 14
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 40
% 0.23/1.41  #    Positive orientable unit clauses  : 10
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 4
% 0.23/1.41  #    Non-unit-clauses                  : 26
% 0.23/1.41  # Current number of unprocessed clauses: 0
% 0.23/1.41  # ...number of literals in the above   : 0
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 0
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 35
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 27
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 9
% 0.23/1.41  # Unit Clause-clause subsumption calls : 7
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 0
% 0.23/1.41  # BW rewrite match successes           : 0
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 1980
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.015 s
% 0.23/1.41  # System time              : 0.003 s
% 0.23/1.41  # Total time               : 0.018 s
% 0.23/1.41  # Maximum resident set size: 2756 pages
% 0.23/1.41  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.41  # Preprocessing time       : 0.019 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 71
% 0.23/1.41  # Proof object clause steps            : 46
% 0.23/1.41  # Proof object formula steps           : 25
% 0.23/1.41  # Proof object conjectures             : 20
% 0.23/1.41  # Proof object clause conjectures      : 17
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 19
% 0.23/1.41  # Proof object initial formulas used   : 12
% 0.23/1.41  # Proof object generating inferences   : 19
% 0.23/1.41  # Proof object simplifying inferences  : 34
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 59
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.41  # Initial clauses                      : 112
% 0.23/1.41  # Removed in clause preprocessing      : 10
% 0.23/1.41  # Initial clauses in saturation        : 102
% 0.23/1.41  # Processed clauses                    : 614
% 0.23/1.41  # ...of these trivial                  : 8
% 0.23/1.41  # ...subsumed                          : 261
% 0.23/1.41  # ...remaining for further processing  : 345
% 0.23/1.41  # Other redundant clauses eliminated   : 1
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 5
% 0.23/1.41  # Backward-rewritten                   : 22
% 0.23/1.41  # Generated clauses                    : 915
% 0.23/1.41  # ...of the previous two non-trivial   : 776
% 0.23/1.41  # Contextual simplify-reflections      : 131
% 0.23/1.41  # Paramodulations                      : 912
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 1
% 0.23/1.41  # Current number of processed clauses  : 315
% 0.23/1.41  #    Positive orientable unit clauses  : 52
% 0.23/1.41  #    Positive unorientable unit clauses: 1
% 0.23/1.41  #    Negative unit clauses             : 21
% 0.23/1.41  #    Non-unit-clauses                  : 241
% 0.23/1.41  # Current number of unprocessed clauses: 198
% 0.23/1.41  # ...number of literals in the above   : 882
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 30
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 19188
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 10449
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 237
% 0.23/1.41  # Unit Clause-clause subsumption calls : 626
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 26
% 0.23/1.41  # BW rewrite match successes           : 23
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 15882
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.057 s
% 0.23/1.41  # System time              : 0.001 s
% 0.23/1.41  # Total time               : 0.058 s
% 0.23/1.41  # Maximum resident set size: 4104 pages
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------