TSTP Solution File: SEU238+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:25:26 EDT 2023

% Result   : Theorem 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   58 (  11 unt;   0 def)
%            Number of atoms       :  214 (  24 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  272 ( 116   ~; 103   |;  32   &)
%                                         (   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   :   80 (   0 sgn;  38   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fc3_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ( ~ empty(succ(X1))
        & epsilon_transitive(succ(X1))
        & epsilon_connected(succ(X1))
        & ordinal(succ(X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',fc3_ordinal1) ).

fof(antisymmetry_r2_hidden,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',antisymmetry_r2_hidden) ).

fof(t10_ordinal1,axiom,
    ! [X1] : in(X1,succ(X1)),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',t10_ordinal1) ).

fof(d1_ordinal1,axiom,
    ! [X1] : succ(X1) = set_union2(X1,singleton(X1)),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',d1_ordinal1) ).

fof(t33_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ( in(X1,X2)
          <=> ordinal_subset(succ(X1),X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',t33_ordinal1) ).

fof(t41_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ( being_limit_ordinal(X1)
      <=> ! [X2] :
            ( ordinal(X2)
           => ( in(X2,X1)
             => in(succ(X2),X1) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',t41_ordinal1) ).

fof(t21_ordinal1,axiom,
    ! [X1] :
      ( epsilon_transitive(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ( proper_subset(X1,X2)
           => in(X1,X2) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',t21_ordinal1) ).

fof(d8_xboole_0,axiom,
    ! [X1,X2] :
      ( proper_subset(X1,X2)
    <=> ( subset(X1,X2)
        & X1 != X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',d8_xboole_0) ).

fof(redefinition_r1_ordinal1,axiom,
    ! [X1,X2] :
      ( ( ordinal(X1)
        & ordinal(X2) )
     => ( ordinal_subset(X1,X2)
      <=> subset(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',redefinition_r1_ordinal1) ).

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/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p',t42_ordinal1) ).

fof(c_0_10,plain,
    ! [X1] :
      ( ordinal(X1)
     => ( ~ empty(succ(X1))
        & epsilon_transitive(succ(X1))
        & epsilon_connected(succ(X1))
        & ordinal(succ(X1)) ) ),
    inference(fof_simplification,[status(thm)],[fc3_ordinal1]) ).

fof(c_0_11,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).

fof(c_0_12,plain,
    ! [X50] : in(X50,succ(X50)),
    inference(variable_rename,[status(thm)],[t10_ordinal1]) ).

fof(c_0_13,plain,
    ! [X18] : succ(X18) = set_union2(X18,singleton(X18)),
    inference(variable_rename,[status(thm)],[d1_ordinal1]) ).

fof(c_0_14,plain,
    ! [X58,X59] :
      ( ( ~ in(X58,X59)
        | ordinal_subset(succ(X58),X59)
        | ~ ordinal(X59)
        | ~ ordinal(X58) )
      & ( ~ ordinal_subset(succ(X58),X59)
        | in(X58,X59)
        | ~ ordinal(X59)
        | ~ ordinal(X58) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_ordinal1])])])]) ).

fof(c_0_15,plain,
    ! [X28] :
      ( ( ~ empty(succ(X28))
        | ~ ordinal(X28) )
      & ( epsilon_transitive(succ(X28))
        | ~ ordinal(X28) )
      & ( epsilon_connected(succ(X28))
        | ~ ordinal(X28) )
      & ( ordinal(succ(X28))
        | ~ ordinal(X28) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

fof(c_0_16,plain,
    ! [X4,X5] :
      ( ~ in(X4,X5)
      | ~ in(X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).

cnf(c_0_17,plain,
    in(X1,succ(X1)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    succ(X1) = set_union2(X1,singleton(X1)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_19,plain,
    ! [X62,X63] :
      ( ( ~ being_limit_ordinal(X62)
        | ~ ordinal(X63)
        | ~ in(X63,X62)
        | in(succ(X63),X62)
        | ~ ordinal(X62) )
      & ( ordinal(esk14_1(X62))
        | being_limit_ordinal(X62)
        | ~ ordinal(X62) )
      & ( in(esk14_1(X62),X62)
        | being_limit_ordinal(X62)
        | ~ ordinal(X62) )
      & ( ~ in(succ(esk14_1(X62)),X62)
        | being_limit_ordinal(X62)
        | ~ ordinal(X62) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t41_ordinal1])])])])]) ).

fof(c_0_20,plain,
    ! [X54,X55] :
      ( ~ epsilon_transitive(X54)
      | ~ ordinal(X55)
      | ~ proper_subset(X54,X55)
      | in(X54,X55) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_ordinal1])])]) ).

fof(c_0_21,plain,
    ! [X19,X20] :
      ( ( subset(X19,X20)
        | ~ proper_subset(X19,X20) )
      & ( X19 != X20
        | ~ proper_subset(X19,X20) )
      & ( ~ subset(X19,X20)
        | X19 = X20
        | proper_subset(X19,X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_xboole_0])])]) ).

fof(c_0_22,plain,
    ! [X45,X46] :
      ( ( ~ ordinal_subset(X45,X46)
        | subset(X45,X46)
        | ~ ordinal(X45)
        | ~ ordinal(X46) )
      & ( ~ subset(X45,X46)
        | ordinal_subset(X45,X46)
        | ~ ordinal(X45)
        | ~ ordinal(X46) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r1_ordinal1])])]) ).

cnf(c_0_23,plain,
    ( ordinal_subset(succ(X1),X2)
    | ~ in(X1,X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    ( ordinal(succ(X1))
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,plain,
    in(X1,set_union2(X1,singleton(X1))),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,plain,
    ( in(succ(X2),X1)
    | ~ being_limit_ordinal(X1)
    | ~ ordinal(X2)
    | ~ in(X2,X1)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_28,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t42_ordinal1])]) ).

cnf(c_0_29,plain,
    ( in(X1,X2)
    | ~ epsilon_transitive(X1)
    | ~ ordinal(X2)
    | ~ proper_subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,plain,
    ( X1 = X2
    | proper_subset(X1,X2)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

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

cnf(c_0_32,plain,
    ( ordinal_subset(set_union2(X1,singleton(X1)),X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(rw,[status(thm)],[c_0_23,c_0_18]) ).

cnf(c_0_33,plain,
    ( ordinal(set_union2(X1,singleton(X1)))
    | ~ ordinal(X1) ),
    inference(rw,[status(thm)],[c_0_24,c_0_18]) ).

cnf(c_0_34,plain,
    ( epsilon_transitive(succ(X1))
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_35,plain,
    ~ in(set_union2(X1,singleton(X1)),X1),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_36,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_27,c_0_18]) ).

fof(c_0_37,negated_conjecture,
    ! [X66] :
      ( 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(X66)
        | esk15_0 != succ(X66) )
      & ( esk15_0 = succ(esk16_0)
        | ~ ordinal(X66)
        | esk15_0 != succ(X66) )
      & ( being_limit_ordinal(esk15_0)
        | ~ ordinal(X66)
        | esk15_0 != succ(X66) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).

cnf(c_0_38,plain,
    ( being_limit_ordinal(X1)
    | ~ in(succ(esk14_1(X1)),X1)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | in(X1,X2)
    | ~ subset(X1,X2)
    | ~ epsilon_transitive(X1)
    | ~ ordinal(X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_40,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_31,c_0_32]),c_0_33]) ).

cnf(c_0_41,plain,
    ( epsilon_transitive(set_union2(X1,singleton(X1)))
    | ~ ordinal(X1) ),
    inference(rw,[status(thm)],[c_0_34,c_0_18]) ).

cnf(c_0_42,plain,
    ( ~ being_limit_ordinal(X1)
    | ~ ordinal(X1)
    | ~ in(X1,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    ( esk15_0 = succ(esk16_0)
    | ~ being_limit_ordinal(esk15_0) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    ( being_limit_ordinal(esk15_0)
    | ~ ordinal(X1)
    | esk15_0 != succ(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,plain,
    ( being_limit_ordinal(X1)
    | ~ ordinal(X1)
    | ~ in(set_union2(esk14_1(X1),singleton(esk14_1(X1))),X1) ),
    inference(rw,[status(thm)],[c_0_38,c_0_18]) ).

cnf(c_0_46,plain,
    ( set_union2(X1,singleton(X1)) = X2
    | in(set_union2(X1,singleton(X1)),X2)
    | ~ ordinal(X2)
    | ~ ordinal(X1)
    | ~ in(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_47,plain,
    ( in(esk14_1(X1),X1)
    | being_limit_ordinal(X1)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_48,plain,
    ( ordinal(esk14_1(X1))
    | being_limit_ordinal(X1)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_49,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_42,c_0_36]),c_0_26])]),c_0_33]) ).

cnf(c_0_50,negated_conjecture,
    ( esk15_0 = set_union2(esk16_0,singleton(esk16_0))
    | ~ being_limit_ordinal(esk15_0) ),
    inference(rw,[status(thm)],[c_0_43,c_0_18]) ).

cnf(c_0_51,negated_conjecture,
    ( ordinal(esk16_0)
    | ~ being_limit_ordinal(esk15_0) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_52,negated_conjecture,
    ( being_limit_ordinal(esk15_0)
    | esk15_0 != set_union2(X1,singleton(X1))
    | ~ ordinal(X1) ),
    inference(rw,[status(thm)],[c_0_44,c_0_18]) ).

cnf(c_0_53,plain,
    ( set_union2(esk14_1(X1),singleton(esk14_1(X1))) = X1
    | being_limit_ordinal(X1)
    | ~ ordinal(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    ~ being_limit_ordinal(esk15_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ( being_limit_ordinal(X1)
    | X1 != esk15_0
    | ~ ordinal(X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    ordinal(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_57,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 08:05:57 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.lQKqk4Ycur/E---3.1_13408.p
% 0.20/0.59  # Version: 3.1pre001
% 0.20/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.59  # Starting sh5l with 300s (1) cores
% 0.20/0.59  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13613 completed with status 0
% 0.20/0.59  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.20/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.59  # No SInE strategy applied
% 0.20/0.59  # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.20/0.59  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.59  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 811s (1) cores
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.59  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.20/0.59  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.59  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.59  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 13625 completed with status 0
% 0.20/0.59  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.20/0.59  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.59  # No SInE strategy applied
% 0.20/0.59  # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.20/0.59  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.59  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 811s (1) cores
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.59  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.20/0.59  # Preprocessing time       : 0.003 s
% 0.20/0.59  
% 0.20/0.59  # Proof found!
% 0.20/0.59  # SZS status Theorem
% 0.20/0.59  # SZS output start CNFRefutation
% See solution above
% 0.20/0.59  # Parsed axioms                        : 59
% 0.20/0.59  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.59  # Initial clauses                      : 112
% 0.20/0.59  # Removed in clause preprocessing      : 10
% 0.20/0.59  # Initial clauses in saturation        : 102
% 0.20/0.59  # Processed clauses                    : 616
% 0.20/0.59  # ...of these trivial                  : 8
% 0.20/0.59  # ...subsumed                          : 233
% 0.20/0.59  # ...remaining for further processing  : 375
% 0.20/0.59  # Other redundant clauses eliminated   : 1
% 0.20/0.59  # Clauses deleted for lack of memory   : 0
% 0.20/0.59  # Backward-subsumed                    : 29
% 0.20/0.59  # Backward-rewritten                   : 24
% 0.20/0.59  # Generated clauses                    : 1214
% 0.20/0.59  # ...of the previous two non-redundant : 1092
% 0.20/0.59  # ...aggressively subsumed             : 0
% 0.20/0.59  # Contextual simplify-reflections      : 32
% 0.20/0.59  # Paramodulations                      : 1213
% 0.20/0.59  # Factorizations                       : 0
% 0.20/0.59  # NegExts                              : 0
% 0.20/0.59  # Equation resolutions                 : 1
% 0.20/0.59  # Total rewrite steps                  : 508
% 0.20/0.59  # Propositional unsat checks           : 0
% 0.20/0.59  #    Propositional check models        : 0
% 0.20/0.59  #    Propositional check unsatisfiable : 0
% 0.20/0.59  #    Propositional clauses             : 0
% 0.20/0.59  #    Propositional clauses after purity: 0
% 0.20/0.59  #    Propositional unsat core size     : 0
% 0.20/0.59  #    Propositional preprocessing time  : 0.000
% 0.20/0.59  #    Propositional encoding time       : 0.000
% 0.20/0.59  #    Propositional solver time         : 0.000
% 0.20/0.59  #    Success case prop preproc time    : 0.000
% 0.20/0.59  #    Success case prop encoding time   : 0.000
% 0.20/0.59  #    Success case prop solver time     : 0.000
% 0.20/0.59  # Current number of processed clauses  : 321
% 0.20/0.59  #    Positive orientable unit clauses  : 53
% 0.20/0.59  #    Positive unorientable unit clauses: 1
% 0.20/0.59  #    Negative unit clauses             : 18
% 0.20/0.59  #    Non-unit-clauses                  : 249
% 0.20/0.59  # Current number of unprocessed clauses: 500
% 0.20/0.59  # ...number of literals in the above   : 2873
% 0.20/0.59  # Current number of archived formulas  : 0
% 0.20/0.59  # Current number of archived clauses   : 54
% 0.20/0.59  # Clause-clause subsumption calls (NU) : 15177
% 0.20/0.59  # Rec. Clause-clause subsumption calls : 6692
% 0.20/0.59  # Non-unit clause-clause subsumptions  : 212
% 0.20/0.59  # Unit Clause-clause subsumption calls : 899
% 0.20/0.59  # Rewrite failures with RHS unbound    : 0
% 0.20/0.59  # BW rewrite match attempts            : 23
% 0.20/0.59  # BW rewrite match successes           : 21
% 0.20/0.59  # Condensation attempts                : 0
% 0.20/0.59  # Condensation successes               : 0
% 0.20/0.59  # Termbank termtop insertions          : 46432
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.076 s
% 0.20/0.59  # System time              : 0.007 s
% 0.20/0.59  # Total time               : 0.083 s
% 0.20/0.59  # Maximum resident set size: 1952 pages
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.375 s
% 0.20/0.59  # System time              : 0.019 s
% 0.20/0.59  # Total time               : 0.394 s
% 0.20/0.59  # Maximum resident set size: 1720 pages
% 0.20/0.59  % E---3.1 exiting
% 0.20/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------