TSTP Solution File: SEU236+2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SEU236+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:32:07 EDT 2024

% Result   : Theorem 1.49s 0.67s
% Output   : CNFRefutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   75 (  19 unt;   0 def)
%            Number of atoms       :  213 (  19 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  233 (  95   ~;  85   |;  29   &)
%                                         (   7 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  101 (   1 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t33_ordinal1,conjecture,
    ! [X1] :
      ( ordinal(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ( in(X1,X2)
          <=> ordinal_subset(succ(X1),X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_ordinal1) ).

fof(redefinition_r1_ordinal1,axiom,
    ! [X1,X2] :
      ( ( ordinal(X1)
        & ordinal(X2) )
     => ( ordinal_subset(X1,X2)
      <=> subset(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_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/sandbox/benchmark/theBenchmark.p',fc3_ordinal1) ).

fof(d10_xboole_0,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(d2_ordinal1,axiom,
    ! [X1] :
      ( epsilon_transitive(X1)
    <=> ! [X2] :
          ( in(X2,X1)
         => subset(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).

fof(t7_xboole_1,lemma,
    ! [X1,X2] : subset(X1,set_union2(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).

fof(d1_ordinal1,axiom,
    ! [X1] : succ(X1) = set_union2(X1,singleton(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).

fof(antisymmetry_r2_hidden,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

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

fof(t24_ordinal1,lemma,
    ! [X1] :
      ( ordinal(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ~ ( ~ in(X1,X2)
              & X1 != X2
              & ~ in(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).

fof(t10_ordinal1,lemma,
    ! [X1] : in(X1,succ(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).

fof(t8_xboole_1,lemma,
    ! [X1,X2,X3] :
      ( ( subset(X1,X2)
        & subset(X3,X2) )
     => subset(set_union2(X1,X3),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).

fof(cc1_ordinal1,axiom,
    ! [X1] :
      ( ordinal(X1)
     => ( epsilon_transitive(X1)
        & epsilon_connected(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).

fof(l2_zfmisc_1,lemma,
    ! [X1,X2] :
      ( subset(singleton(X1),X2)
    <=> in(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( ordinal(X1)
       => ! [X2] :
            ( ordinal(X2)
           => ( in(X1,X2)
            <=> ordinal_subset(succ(X1),X2) ) ) ),
    inference(assume_negation,[status(cth)],[t33_ordinal1]) ).

fof(c_0_15,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_16,negated_conjecture,
    ( ordinal(esk1_0)
    & ordinal(esk2_0)
    & ( ~ in(esk1_0,esk2_0)
      | ~ ordinal_subset(succ(esk1_0),esk2_0) )
    & ( in(esk1_0,esk2_0)
      | ordinal_subset(succ(esk1_0),esk2_0) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

fof(c_0_17,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]) ).

cnf(c_0_18,plain,
    ( subset(X1,X2)
    | ~ ordinal_subset(X1,X2)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    ( in(esk1_0,esk2_0)
    | ordinal_subset(succ(esk1_0),esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ordinal(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_21,plain,
    ! [X21] :
      ( ( ~ empty(succ(X21))
        | ~ ordinal(X21) )
      & ( epsilon_transitive(succ(X21))
        | ~ ordinal(X21) )
      & ( epsilon_connected(succ(X21))
        | ~ ordinal(X21) )
      & ( ordinal(succ(X21))
        | ~ ordinal(X21) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).

fof(c_0_22,plain,
    ! [X47,X48] :
      ( ( subset(X47,X48)
        | X47 != X48 )
      & ( subset(X48,X47)
        | X47 != X48 )
      & ( ~ subset(X47,X48)
        | ~ subset(X48,X47)
        | X47 = X48 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])]) ).

cnf(c_0_23,negated_conjecture,
    ( subset(succ(esk1_0),esk2_0)
    | in(esk1_0,esk2_0)
    | ~ ordinal(succ(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_24,plain,
    ( ordinal(succ(X1))
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ordinal(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_26,plain,
    ! [X167,X168,X169] :
      ( ( ~ epsilon_transitive(X167)
        | ~ in(X168,X167)
        | subset(X168,X167) )
      & ( in(esk25_1(X169),X169)
        | epsilon_transitive(X169) )
      & ( ~ subset(esk25_1(X169),X169)
        | epsilon_transitive(X169) ) ),
    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])])])])])])]) ).

fof(c_0_27,lemma,
    ! [X96,X97] : subset(X96,set_union2(X96,X97)),
    inference(variable_rename,[status(thm)],[t7_xboole_1]) ).

fof(c_0_28,plain,
    ! [X19] : succ(X19) = set_union2(X19,singleton(X19)),
    inference(variable_rename,[status(thm)],[d1_ordinal1]) ).

fof(c_0_29,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).

cnf(c_0_30,plain,
    ( X1 = X2
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    ( subset(succ(esk1_0),esk2_0)
    | in(esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_32,plain,
    ( subset(X2,X1)
    | ~ epsilon_transitive(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    ( epsilon_transitive(succ(X1))
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_34,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ( ~ subset(X25,X26)
        | ~ in(X27,X25)
        | in(X27,X26) )
      & ( in(esk4_2(X28,X29),X28)
        | subset(X28,X29) )
      & ( ~ in(esk4_2(X28,X29),X29)
        | subset(X28,X29) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).

cnf(c_0_35,lemma,
    subset(X1,set_union2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,plain,
    succ(X1) = set_union2(X1,singleton(X1)),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_37,lemma,
    ! [X1] :
      ( ordinal(X1)
     => ! [X2] :
          ( ordinal(X2)
         => ~ ( ~ in(X1,X2)
              & X1 != X2
              & ~ in(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[t24_ordinal1]) ).

fof(c_0_38,plain,
    ! [X23,X24] :
      ( ~ in(X23,X24)
      | ~ in(X24,X23) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).

fof(c_0_39,lemma,
    ! [X22] : in(X22,succ(X22)),
    inference(variable_rename,[status(thm)],[t10_ordinal1]) ).

cnf(c_0_40,negated_conjecture,
    ( succ(esk1_0) = esk2_0
    | in(esk1_0,esk2_0)
    | ~ subset(esk2_0,succ(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_41,plain,
    ( subset(X1,succ(X2))
    | ~ ordinal(X2)
    | ~ in(X1,succ(X2)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_42,plain,
    ( in(X3,X2)
    | ~ subset(X1,X2)
    | ~ in(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,lemma,
    subset(X1,succ(X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ in(esk1_0,esk2_0)
    | ~ ordinal_subset(succ(esk1_0),esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_45,plain,
    ( ordinal_subset(X1,X2)
    | ~ subset(X1,X2)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_46,lemma,
    ! [X98,X99,X100] :
      ( ~ subset(X98,X99)
      | ~ subset(X100,X99)
      | subset(set_union2(X98,X100),X99) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_xboole_1])])]) ).

fof(c_0_47,plain,
    ! [X154] :
      ( ( epsilon_transitive(X154)
        | ~ ordinal(X154) )
      & ( epsilon_connected(X154)
        | ~ ordinal(X154) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_ordinal1])])])]) ).

fof(c_0_48,lemma,
    ! [X43,X44] :
      ( ~ ordinal(X43)
      | ~ ordinal(X44)
      | in(X43,X44)
      | X43 = X44
      | in(X44,X43) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).

cnf(c_0_49,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_50,lemma,
    in(X1,succ(X1)),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_51,negated_conjecture,
    ( succ(esk1_0) = esk2_0
    | in(esk1_0,esk2_0)
    | ~ in(esk2_0,succ(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_25])]) ).

cnf(c_0_52,lemma,
    ( in(X1,succ(X2))
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ subset(succ(esk1_0),esk2_0)
    | ~ ordinal(succ(esk1_0))
    | ~ in(esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_20])]) ).

cnf(c_0_54,lemma,
    ( subset(set_union2(X1,X3),X2)
    | ~ subset(X1,X2)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_55,lemma,
    ! [X110,X111] :
      ( ( ~ subset(singleton(X110),X111)
        | in(X110,X111) )
      & ( ~ in(X110,X111)
        | subset(singleton(X110),X111) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l2_zfmisc_1])])]) ).

cnf(c_0_56,plain,
    ( epsilon_transitive(X1)
    | ~ ordinal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,lemma,
    ( in(X1,X2)
    | X1 = X2
    | in(X2,X1)
    | ~ ordinal(X1)
    | ~ ordinal(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_58,lemma,
    ~ in(succ(X1),X1),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_59,lemma,
    ( succ(esk1_0) = esk2_0
    | ~ in(esk2_0,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_49]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ subset(succ(esk1_0),esk2_0)
    | ~ in(esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_24]),c_0_25])]) ).

cnf(c_0_61,lemma,
    ( subset(succ(X1),X2)
    | ~ subset(singleton(X1),X2)
    | ~ subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_36]) ).

cnf(c_0_62,lemma,
    ( in(X1,X2)
    | ~ subset(singleton(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,plain,
    ( subset(X1,X2)
    | ~ ordinal(X2)
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_56]) ).

cnf(c_0_64,negated_conjecture,
    ( X1 = esk2_0
    | in(esk2_0,X1)
    | in(X1,esk2_0)
    | ~ ordinal(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_20]) ).

cnf(c_0_65,lemma,
    ~ in(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ subset(singleton(esk1_0),esk2_0)
    | ~ subset(esk1_0,esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).

cnf(c_0_67,lemma,
    ( subset(singleton(X1),X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    ( subset(X1,esk2_0)
    | ~ in(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_63,c_0_20]) ).

cnf(c_0_69,negated_conjecture,
    ( esk2_0 = esk1_0
    | in(esk1_0,esk2_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_25]),c_0_65]) ).

cnf(c_0_70,lemma,
    ~ in(esk1_0,esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    esk2_0 = esk1_0,
    inference(sr,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_72,lemma,
    ~ in(esk1_0,esk1_0),
    inference(rw,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_73,negated_conjecture,
    succ(esk1_0) = esk1_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_71]),c_0_71]),c_0_71]),c_0_50])]),c_0_72]) ).

cnf(c_0_74,lemma,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_73]),c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SEU236+2 : TPTP v8.2.0. Released v3.3.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 17:39:37 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.21/0.47  Running first-order model finding
% 0.21/0.47  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/benchmark/theBenchmark.p
% 1.49/0.67  # Version: 3.1.0
% 1.49/0.67  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.67  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.67  # Starting new_bool_3 with 300s (1) cores
% 1.49/0.67  # Starting new_bool_1 with 300s (1) cores
% 1.49/0.67  # Starting sh5l with 300s (1) cores
% 1.49/0.67  # new_bool_3 with pid 29311 completed with status 0
% 1.49/0.67  # Result found by new_bool_3
% 1.49/0.67  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.67  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.67  # Starting new_bool_3 with 300s (1) cores
% 1.49/0.67  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.49/0.67  # Search class: FGHSM-FSLM31-SFFFFFNN
% 1.49/0.67  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.49/0.67  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 1.49/0.67  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 29314 completed with status 0
% 1.49/0.67  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 1.49/0.67  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.67  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.67  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.67  # Starting new_bool_3 with 300s (1) cores
% 1.49/0.67  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.49/0.67  # Search class: FGHSM-FSLM31-SFFFFFNN
% 1.49/0.67  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.49/0.67  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 163s (1) cores
% 1.49/0.67  # Preprocessing time       : 0.005 s
% 1.49/0.67  
% 1.49/0.67  # Proof found!
% 1.49/0.67  # SZS status Theorem
% 1.49/0.67  # SZS output start CNFRefutation
% See solution above
% 1.49/0.67  # Parsed axioms                        : 276
% 1.49/0.67  # Removed by relevancy pruning/SinE    : 163
% 1.49/0.67  # Initial clauses                      : 220
% 1.49/0.67  # Removed in clause preprocessing      : 4
% 1.49/0.67  # Initial clauses in saturation        : 216
% 1.49/0.67  # Processed clauses                    : 1233
% 1.49/0.67  # ...of these trivial                  : 27
% 1.49/0.67  # ...subsumed                          : 503
% 1.49/0.67  # ...remaining for further processing  : 703
% 1.49/0.67  # Other redundant clauses eliminated   : 30
% 1.49/0.67  # Clauses deleted for lack of memory   : 0
% 1.49/0.67  # Backward-subsumed                    : 25
% 1.49/0.67  # Backward-rewritten                   : 108
% 1.49/0.67  # Generated clauses                    : 6389
% 1.49/0.67  # ...of the previous two non-redundant : 5852
% 1.49/0.67  # ...aggressively subsumed             : 0
% 1.49/0.67  # Contextual simplify-reflections      : 17
% 1.49/0.67  # Paramodulations                      : 6311
% 1.49/0.67  # Factorizations                       : 11
% 1.49/0.67  # NegExts                              : 0
% 1.49/0.67  # Equation resolutions                 : 62
% 1.49/0.67  # Disequality decompositions           : 0
% 1.49/0.67  # Total rewrite steps                  : 936
% 1.49/0.67  # ...of those cached                   : 828
% 1.49/0.67  # Propositional unsat checks           : 0
% 1.49/0.67  #    Propositional check models        : 0
% 1.49/0.67  #    Propositional check unsatisfiable : 0
% 1.49/0.67  #    Propositional clauses             : 0
% 1.49/0.67  #    Propositional clauses after purity: 0
% 1.49/0.67  #    Propositional unsat core size     : 0
% 1.49/0.67  #    Propositional preprocessing time  : 0.000
% 1.49/0.67  #    Propositional encoding time       : 0.000
% 1.49/0.67  #    Propositional solver time         : 0.000
% 1.49/0.67  #    Success case prop preproc time    : 0.000
% 1.49/0.67  #    Success case prop encoding time   : 0.000
% 1.49/0.67  #    Success case prop solver time     : 0.000
% 1.49/0.67  # Current number of processed clauses  : 562
% 1.49/0.67  #    Positive orientable unit clauses  : 75
% 1.49/0.67  #    Positive unorientable unit clauses: 3
% 1.49/0.67  #    Negative unit clauses             : 58
% 1.49/0.67  #    Non-unit-clauses                  : 426
% 1.49/0.67  # Current number of unprocessed clauses: 4730
% 1.49/0.67  # ...number of literals in the above   : 18951
% 1.49/0.67  # Current number of archived formulas  : 0
% 1.49/0.67  # Current number of archived clauses   : 138
% 1.49/0.67  # Clause-clause subsumption calls (NU) : 42388
% 1.49/0.67  # Rec. Clause-clause subsumption calls : 21010
% 1.49/0.67  # Non-unit clause-clause subsumptions  : 259
% 1.49/0.67  # Unit Clause-clause subsumption calls : 5019
% 1.49/0.67  # Rewrite failures with RHS unbound    : 0
% 1.49/0.67  # BW rewrite match attempts            : 40
% 1.49/0.67  # BW rewrite match successes           : 18
% 1.49/0.67  # Condensation attempts                : 0
% 1.49/0.67  # Condensation successes               : 0
% 1.49/0.67  # Termbank termtop insertions          : 88921
% 1.49/0.67  # Search garbage collected termcells   : 4151
% 1.49/0.67  
% 1.49/0.67  # -------------------------------------------------
% 1.49/0.67  # User time                : 0.166 s
% 1.49/0.67  # System time              : 0.010 s
% 1.49/0.67  # Total time               : 0.176 s
% 1.49/0.67  # Maximum resident set size: 2500 pages
% 1.49/0.67  
% 1.49/0.67  # -------------------------------------------------
% 1.49/0.67  # User time                : 0.172 s
% 1.49/0.67  # System time              : 0.013 s
% 1.49/0.67  # Total time               : 0.185 s
% 1.49/0.67  # Maximum resident set size: 1976 pages
% 1.49/0.67  % E---3.1 exiting
%------------------------------------------------------------------------------