TSTP Solution File: SEU284+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU284+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 19:31:18 EDT 2023

% Result   : Theorem 676.27s 85.89s
% Output   : CNFRefutation 676.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   41 (   7 unt;   0 def)
%            Number of atoms       :  228 ( 132 equ)
%            Maximal formula atoms :  104 (   5 avg)
%            Number of connectives :  274 (  87   ~; 137   |;  45   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   5 avg)
%            Maximal term depth    :    3 (   2 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   :   68 (  14 sgn;  15   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(s2_funct_1__e16_22__wellord2__1,lemma,
    ! [X1] :
      ( ( ! [X2,X3,X4] :
            ( ( in(X2,X1)
              & X3 = singleton(X2)
              & X4 = singleton(X2) )
           => X3 = X4 )
        & ! [X2] :
            ~ ( in(X2,X1)
              & ! [X3] : X3 != singleton(X2) ) )
     => ? [X2] :
          ( relation(X2)
          & function(X2)
          & relation_dom(X2) = X1
          & ! [X3] :
              ( in(X3,X1)
             => apply(X2,X3) = singleton(X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KBQF7Refm4/E---3.1_21465.p',s2_funct_1__e16_22__wellord2__1) ).

fof(s3_funct_1__e16_22__wellord2,conjecture,
    ! [X1] :
    ? [X2] :
      ( relation(X2)
      & function(X2)
      & relation_dom(X2) = X1
      & ! [X3] :
          ( in(X3,X1)
         => apply(X2,X3) = singleton(X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.KBQF7Refm4/E---3.1_21465.p',s3_funct_1__e16_22__wellord2) ).

fof(c_0_2,lemma,
    ! [X47,X52,X54] :
      ( ( relation(esk17_1(X47))
        | in(esk16_1(X47),X47)
        | in(esk13_1(X47),X47) )
      & ( function(esk17_1(X47))
        | in(esk16_1(X47),X47)
        | in(esk13_1(X47),X47) )
      & ( relation_dom(esk17_1(X47)) = X47
        | in(esk16_1(X47),X47)
        | in(esk13_1(X47),X47) )
      & ( ~ in(X54,X47)
        | apply(esk17_1(X47),X54) = singleton(X54)
        | in(esk16_1(X47),X47)
        | in(esk13_1(X47),X47) )
      & ( relation(esk17_1(X47))
        | X52 != singleton(esk16_1(X47))
        | in(esk13_1(X47),X47) )
      & ( function(esk17_1(X47))
        | X52 != singleton(esk16_1(X47))
        | in(esk13_1(X47),X47) )
      & ( relation_dom(esk17_1(X47)) = X47
        | X52 != singleton(esk16_1(X47))
        | in(esk13_1(X47),X47) )
      & ( ~ in(X54,X47)
        | apply(esk17_1(X47),X54) = singleton(X54)
        | X52 != singleton(esk16_1(X47))
        | in(esk13_1(X47),X47) )
      & ( relation(esk17_1(X47))
        | in(esk16_1(X47),X47)
        | esk14_1(X47) = singleton(esk13_1(X47)) )
      & ( function(esk17_1(X47))
        | in(esk16_1(X47),X47)
        | esk14_1(X47) = singleton(esk13_1(X47)) )
      & ( relation_dom(esk17_1(X47)) = X47
        | in(esk16_1(X47),X47)
        | esk14_1(X47) = singleton(esk13_1(X47)) )
      & ( ~ in(X54,X47)
        | apply(esk17_1(X47),X54) = singleton(X54)
        | in(esk16_1(X47),X47)
        | esk14_1(X47) = singleton(esk13_1(X47)) )
      & ( relation(esk17_1(X47))
        | X52 != singleton(esk16_1(X47))
        | esk14_1(X47) = singleton(esk13_1(X47)) )
      & ( function(esk17_1(X47))
        | X52 != singleton(esk16_1(X47))
        | esk14_1(X47) = singleton(esk13_1(X47)) )
      & ( relation_dom(esk17_1(X47)) = X47
        | X52 != singleton(esk16_1(X47))
        | esk14_1(X47) = singleton(esk13_1(X47)) )
      & ( ~ in(X54,X47)
        | apply(esk17_1(X47),X54) = singleton(X54)
        | X52 != singleton(esk16_1(X47))
        | esk14_1(X47) = singleton(esk13_1(X47)) )
      & ( relation(esk17_1(X47))
        | in(esk16_1(X47),X47)
        | esk15_1(X47) = singleton(esk13_1(X47)) )
      & ( function(esk17_1(X47))
        | in(esk16_1(X47),X47)
        | esk15_1(X47) = singleton(esk13_1(X47)) )
      & ( relation_dom(esk17_1(X47)) = X47
        | in(esk16_1(X47),X47)
        | esk15_1(X47) = singleton(esk13_1(X47)) )
      & ( ~ in(X54,X47)
        | apply(esk17_1(X47),X54) = singleton(X54)
        | in(esk16_1(X47),X47)
        | esk15_1(X47) = singleton(esk13_1(X47)) )
      & ( relation(esk17_1(X47))
        | X52 != singleton(esk16_1(X47))
        | esk15_1(X47) = singleton(esk13_1(X47)) )
      & ( function(esk17_1(X47))
        | X52 != singleton(esk16_1(X47))
        | esk15_1(X47) = singleton(esk13_1(X47)) )
      & ( relation_dom(esk17_1(X47)) = X47
        | X52 != singleton(esk16_1(X47))
        | esk15_1(X47) = singleton(esk13_1(X47)) )
      & ( ~ in(X54,X47)
        | apply(esk17_1(X47),X54) = singleton(X54)
        | X52 != singleton(esk16_1(X47))
        | esk15_1(X47) = singleton(esk13_1(X47)) )
      & ( relation(esk17_1(X47))
        | in(esk16_1(X47),X47)
        | esk14_1(X47) != esk15_1(X47) )
      & ( function(esk17_1(X47))
        | in(esk16_1(X47),X47)
        | esk14_1(X47) != esk15_1(X47) )
      & ( relation_dom(esk17_1(X47)) = X47
        | in(esk16_1(X47),X47)
        | esk14_1(X47) != esk15_1(X47) )
      & ( ~ in(X54,X47)
        | apply(esk17_1(X47),X54) = singleton(X54)
        | in(esk16_1(X47),X47)
        | esk14_1(X47) != esk15_1(X47) )
      & ( relation(esk17_1(X47))
        | X52 != singleton(esk16_1(X47))
        | esk14_1(X47) != esk15_1(X47) )
      & ( function(esk17_1(X47))
        | X52 != singleton(esk16_1(X47))
        | esk14_1(X47) != esk15_1(X47) )
      & ( relation_dom(esk17_1(X47)) = X47
        | X52 != singleton(esk16_1(X47))
        | esk14_1(X47) != esk15_1(X47) )
      & ( ~ in(X54,X47)
        | apply(esk17_1(X47),X54) = singleton(X54)
        | X52 != singleton(esk16_1(X47))
        | esk14_1(X47) != esk15_1(X47) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s2_funct_1__e16_22__wellord2__1])])])])]) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
      ? [X2] :
        ( relation(X2)
        & function(X2)
        & relation_dom(X2) = X1
        & ! [X3] :
            ( in(X3,X1)
           => apply(X2,X3) = singleton(X3) ) ),
    inference(assume_negation,[status(cth)],[s3_funct_1__e16_22__wellord2]) ).

cnf(c_0_4,lemma,
    ( apply(esk17_1(X2),X1) = singleton(X1)
    | ~ in(X1,X2)
    | X3 != singleton(esk16_1(X2))
    | esk14_1(X2) != esk15_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_5,negated_conjecture,
    ! [X14] :
      ( ( in(esk2_1(X14),esk1_0)
        | ~ relation(X14)
        | ~ function(X14)
        | relation_dom(X14) != esk1_0 )
      & ( apply(X14,esk2_1(X14)) != singleton(esk2_1(X14))
        | ~ relation(X14)
        | ~ function(X14)
        | relation_dom(X14) != esk1_0 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,lemma,
    ( relation_dom(esk17_1(X1)) = X1
    | X2 != singleton(esk16_1(X1))
    | esk14_1(X1) != esk15_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,lemma,
    ( relation_dom(esk17_1(X1)) = X1
    | esk15_1(X1) = singleton(esk13_1(X1))
    | X2 != singleton(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,lemma,
    ( relation_dom(esk17_1(X1)) = X1
    | esk14_1(X1) = singleton(esk13_1(X1))
    | X2 != singleton(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,lemma,
    ( relation(esk17_1(X1))
    | X2 != singleton(esk16_1(X1))
    | esk14_1(X1) != esk15_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,lemma,
    ( relation(esk17_1(X1))
    | esk15_1(X1) = singleton(esk13_1(X1))
    | X2 != singleton(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,lemma,
    ( relation(esk17_1(X1))
    | esk14_1(X1) = singleton(esk13_1(X1))
    | X2 != singleton(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,lemma,
    ( function(esk17_1(X1))
    | X2 != singleton(esk16_1(X1))
    | esk14_1(X1) != esk15_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,lemma,
    ( function(esk17_1(X1))
    | esk15_1(X1) = singleton(esk13_1(X1))
    | X2 != singleton(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,lemma,
    ( function(esk17_1(X1))
    | esk14_1(X1) = singleton(esk13_1(X1))
    | X2 != singleton(esk16_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15,lemma,
    ( apply(esk17_1(X2),X1) = singleton(X1)
    | esk14_1(X2) = singleton(esk13_1(X2))
    | ~ in(X1,X2)
    | X3 != singleton(esk16_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16,lemma,
    ( apply(esk17_1(X1),X2) = singleton(X2)
    | esk15_1(X1) != esk14_1(X1)
    | ~ in(X2,X1) ),
    inference(er,[status(thm)],[c_0_4]) ).

cnf(c_0_17,negated_conjecture,
    ( in(esk2_1(X1),esk1_0)
    | ~ relation(X1)
    | ~ function(X1)
    | relation_dom(X1) != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,lemma,
    ( relation_dom(esk17_1(X1)) = X1
    | esk15_1(X1) != esk14_1(X1) ),
    inference(er,[status(thm)],[c_0_6]) ).

cnf(c_0_19,lemma,
    ( esk15_1(X1) = singleton(esk13_1(X1))
    | relation_dom(esk17_1(X1)) = X1 ),
    inference(er,[status(thm)],[c_0_7]) ).

cnf(c_0_20,lemma,
    ( esk14_1(X1) = singleton(esk13_1(X1))
    | relation_dom(esk17_1(X1)) = X1 ),
    inference(er,[status(thm)],[c_0_8]) ).

cnf(c_0_21,lemma,
    ( relation(esk17_1(X1))
    | esk15_1(X1) != esk14_1(X1) ),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_22,lemma,
    ( esk15_1(X1) = singleton(esk13_1(X1))
    | relation(esk17_1(X1)) ),
    inference(er,[status(thm)],[c_0_10]) ).

cnf(c_0_23,lemma,
    ( esk14_1(X1) = singleton(esk13_1(X1))
    | relation(esk17_1(X1)) ),
    inference(er,[status(thm)],[c_0_11]) ).

cnf(c_0_24,lemma,
    ( function(esk17_1(X1))
    | esk15_1(X1) != esk14_1(X1) ),
    inference(er,[status(thm)],[c_0_12]) ).

cnf(c_0_25,lemma,
    ( esk15_1(X1) = singleton(esk13_1(X1))
    | function(esk17_1(X1)) ),
    inference(er,[status(thm)],[c_0_13]) ).

cnf(c_0_26,lemma,
    ( esk14_1(X1) = singleton(esk13_1(X1))
    | function(esk17_1(X1)) ),
    inference(er,[status(thm)],[c_0_14]) ).

cnf(c_0_27,lemma,
    ( apply(esk17_1(X1),X2) = singleton(X2)
    | esk14_1(X1) = singleton(esk13_1(X1))
    | ~ in(X2,X1) ),
    inference(er,[status(thm)],[c_0_15]) ).

cnf(c_0_28,negated_conjecture,
    ( apply(X1,esk2_1(X1)) != singleton(esk2_1(X1))
    | ~ relation(X1)
    | ~ function(X1)
    | relation_dom(X1) != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_29,negated_conjecture,
    ( apply(esk17_1(esk1_0),esk2_1(X1)) = singleton(esk2_1(X1))
    | esk15_1(esk1_0) != esk14_1(esk1_0)
    | relation_dom(X1) != esk1_0
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_30,lemma,
    relation_dom(esk17_1(X1)) = X1,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_31,lemma,
    relation(esk17_1(X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_32,lemma,
    function(esk17_1(X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( apply(esk17_1(esk1_0),esk2_1(X1)) = singleton(esk2_1(X1))
    | esk14_1(esk1_0) = singleton(esk13_1(esk1_0))
    | relation_dom(X1) != esk1_0
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_17]) ).

cnf(c_0_34,lemma,
    ( apply(esk17_1(X2),X1) = singleton(X1)
    | esk15_1(X2) = singleton(esk13_1(X2))
    | ~ in(X1,X2)
    | X3 != singleton(esk16_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_35,negated_conjecture,
    esk15_1(esk1_0) != esk14_1(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_36,negated_conjecture,
    esk14_1(esk1_0) = singleton(esk13_1(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_33]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_37,lemma,
    ( apply(esk17_1(X1),X2) = singleton(X2)
    | esk15_1(X1) = singleton(esk13_1(X1))
    | ~ in(X2,X1) ),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    esk15_1(esk1_0) != singleton(esk13_1(esk1_0)),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    ( apply(esk17_1(esk1_0),esk2_1(X1)) = singleton(esk2_1(X1))
    | relation_dom(X1) != esk1_0
    | ~ relation(X1)
    | ~ function(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_38]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_39]),c_0_30]),c_0_31]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SEU284+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n007.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 08:20:54 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.45  Running first-order model finding
% 0.16/0.45  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.KBQF7Refm4/E---3.1_21465.p
% 676.27/85.89  # Version: 3.1pre001
% 676.27/85.89  # Preprocessing class: FSLSSMSSSSSNFFN.
% 676.27/85.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 676.27/85.89  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 676.27/85.89  # Starting new_bool_3 with 300s (1) cores
% 676.27/85.89  # Starting new_bool_1 with 300s (1) cores
% 676.27/85.89  # Starting sh5l with 300s (1) cores
% 676.27/85.89  # new_bool_3 with pid 21543 completed with status 0
% 676.27/85.89  # Result found by new_bool_3
% 676.27/85.89  # Preprocessing class: FSLSSMSSSSSNFFN.
% 676.27/85.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 676.27/85.89  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 676.27/85.89  # Starting new_bool_3 with 300s (1) cores
% 676.27/85.89  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 676.27/85.89  # Search class: FGHSM-FSLM32-MFFFFFNN
% 676.27/85.89  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 676.27/85.89  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 676.27/85.89  # G-E--_303_C18_F1_URBAN_S0Y with pid 21546 completed with status 7
% 676.27/85.89  # Starting new_bool_3 with 31s (1) cores
% 676.27/85.89  # new_bool_3 with pid 21561 completed with status 7
% 676.27/85.89  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 25s (1) cores
% 676.27/85.89  # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 21568 completed with status 7
% 676.27/85.89  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 25s (1) cores
% 676.27/85.89  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 21574 completed with status 0
% 676.27/85.89  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 676.27/85.89  # Preprocessing class: FSLSSMSSSSSNFFN.
% 676.27/85.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 676.27/85.89  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 676.27/85.89  # Starting new_bool_3 with 300s (1) cores
% 676.27/85.89  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 676.27/85.89  # Search class: FGHSM-FSLM32-MFFFFFNN
% 676.27/85.89  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 676.27/85.89  # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 676.27/85.89  # G-E--_303_C18_F1_URBAN_S0Y with pid 21546 completed with status 7
% 676.27/85.89  # Starting new_bool_3 with 31s (1) cores
% 676.27/85.89  # new_bool_3 with pid 21561 completed with status 7
% 676.27/85.89  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 25s (1) cores
% 676.27/85.89  # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 21568 completed with status 7
% 676.27/85.89  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 25s (1) cores
% 676.27/85.89  # Preprocessing time       : 0.006 s
% 676.27/85.89  # Presaturation interreduction done
% 676.27/85.89  
% 676.27/85.89  # Proof found!
% 676.27/85.89  # SZS status Theorem
% 676.27/85.89  # SZS output start CNFRefutation
% See solution above
% 676.27/85.89  # Parsed axioms                        : 371
% 676.27/85.89  # Removed by relevancy pruning/SinE    : 224
% 676.27/85.89  # Initial clauses                      : 441
% 676.27/85.89  # Removed in clause preprocessing      : 2
% 676.27/85.89  # Initial clauses in saturation        : 439
% 676.27/85.89  # Processed clauses                    : 12557
% 676.27/85.89  # ...of these trivial                  : 50
% 676.27/85.89  # ...subsumed                          : 9400
% 676.27/85.89  # ...remaining for further processing  : 3107
% 676.27/85.89  # Other redundant clauses eliminated   : 480
% 676.27/85.89  # Clauses deleted for lack of memory   : 0
% 676.27/85.89  # Backward-subsumed                    : 96
% 676.27/85.89  # Backward-rewritten                   : 135
% 676.27/85.89  # Generated clauses                    : 157398
% 676.27/85.89  # ...of the previous two non-redundant : 141781
% 676.27/85.89  # ...aggressively subsumed             : 0
% 676.27/85.89  # Contextual simplify-reflections      : 171
% 676.27/85.89  # Paramodulations                      : 156926
% 676.27/85.89  # Factorizations                       : 18
% 676.27/85.89  # NegExts                              : 0
% 676.27/85.89  # Equation resolutions                 : 483
% 676.27/85.89  # Total rewrite steps                  : 61945
% 676.27/85.89  # Propositional unsat checks           : 0
% 676.27/85.89  #    Propositional check models        : 0
% 676.27/85.89  #    Propositional check unsatisfiable : 0
% 676.27/85.89  #    Propositional clauses             : 0
% 676.27/85.89  #    Propositional clauses after purity: 0
% 676.27/85.89  #    Propositional unsat core size     : 0
% 676.27/85.89  #    Propositional preprocessing time  : 0.000
% 676.27/85.89  #    Propositional encoding time       : 0.000
% 676.27/85.89  #    Propositional solver time         : 0.000
% 676.27/85.89  #    Success case prop preproc time    : 0.000
% 676.27/85.89  #    Success case prop encoding time   : 0.000
% 676.27/85.89  #    Success case prop solver time     : 0.000
% 676.27/85.89  # Current number of processed clauses  : 2407
% 676.27/85.89  #    Positive orientable unit clauses  : 97
% 676.27/85.89  #    Positive unorientable unit clauses: 1
% 676.27/85.89  #    Negative unit clauses             : 93
% 676.27/85.89  #    Non-unit-clauses                  : 2216
% 676.27/85.89  # Current number of unprocessed clauses: 129615
% 676.27/85.89  # ...number of literals in the above   : 558109
% 676.27/85.89  # Current number of archived formulas  : 0
% 676.27/85.89  # Current number of archived clauses   : 613
% 676.27/85.89  # Clause-clause subsumption calls (NU) : 894568
% 676.27/85.89  # Rec. Clause-clause subsumption calls : 408977
% 676.27/85.89  # Non-unit clause-clause subsumptions  : 4717
% 676.27/85.89  # Unit Clause-clause subsumption calls : 20329
% 676.27/85.89  # Rewrite failures with RHS unbound    : 0
% 676.27/85.89  # BW rewrite match attempts            : 108
% 676.27/85.89  # BW rewrite match successes           : 76
% 676.27/85.89  # Condensation attempts                : 0
% 676.27/85.89  # Condensation successes               : 0
% 676.27/85.89  # Termbank termtop insertions          : 2683188
% 676.27/85.89  
% 676.27/85.89  # -------------------------------------------------
% 676.27/85.89  # User time                : 82.780 s
% 676.27/85.89  # System time              : 1.550 s
% 676.27/85.89  # Total time               : 84.331 s
% 676.27/85.89  # Maximum resident set size: 3316 pages
% 676.27/85.89  
% 676.27/85.89  # -------------------------------------------------
% 676.27/85.89  # User time                : 82.791 s
% 676.27/85.89  # System time              : 1.553 s
% 676.27/85.89  # Total time               : 84.345 s
% 676.27/85.89  # Maximum resident set size: 2128 pages
% 676.27/85.89  % E---3.1 exiting
%------------------------------------------------------------------------------