TSTP Solution File: PRO014+2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:10:15 EDT 2024

% Result   : Theorem 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   44 (  13 unt;   0 def)
%            Number of atoms       :  214 (   0 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  272 ( 102   ~; 115   |;  49   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :   74 (   0 sgn  30   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sos_32,axiom,
    ! [X96,X97] :
      ( ( occurrence_of(X97,tptp0)
        & subactivity_occurrence(X96,X97)
        & arboreal(X96)
        & ~ leaf_occ(X96,X97) )
     => ? [X98,X99,X100] :
          ( occurrence_of(X98,tptp3)
          & next_subocc(X96,X98,tptp0)
          & occurrence_of(X99,tptp4)
          & next_subocc(X98,X99,tptp0)
          & ( occurrence_of(X100,tptp2)
            | occurrence_of(X100,tptp1) )
          & next_subocc(X99,X100,tptp0)
          & leaf(X100,tptp0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LgCdAPK6pe/E---3.1_32554.p',sos_32) ).

fof(goals,conjecture,
    ! [X101,X102] :
      ( ( occurrence_of(X102,tptp0)
        & subactivity_occurrence(X101,X102)
        & arboreal(X101)
        & ~ leaf_occ(X101,X102) )
     => ? [X103,X104] :
          ( occurrence_of(X103,tptp3)
          & next_subocc(X101,X103,tptp0)
          & ( occurrence_of(X104,tptp2)
            | occurrence_of(X104,tptp1) )
          & min_precedes(X103,X104,tptp0)
          & leaf(X104,tptp0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LgCdAPK6pe/E---3.1_32554.p',goals) ).

fof(sos_04,axiom,
    ! [X16,X17,X18] :
      ( next_subocc(X16,X17,X18)
    <=> ( min_precedes(X16,X17,X18)
        & ~ ? [X19] :
              ( min_precedes(X16,X19,X18)
              & min_precedes(X19,X17,X18) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LgCdAPK6pe/E---3.1_32554.p',sos_04) ).

fof(sos,axiom,
    ! [X1,X2,X3,X4] :
      ( ( min_precedes(X1,X2,X4)
        & min_precedes(X2,X3,X4) )
     => min_precedes(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.LgCdAPK6pe/E---3.1_32554.p',sos) ).

fof(c_0_4,plain,
    ! [X96,X97] :
      ( ( occurrence_of(X97,tptp0)
        & subactivity_occurrence(X96,X97)
        & arboreal(X96)
        & ~ leaf_occ(X96,X97) )
     => ? [X98,X99,X100] :
          ( occurrence_of(X98,tptp3)
          & next_subocc(X96,X98,tptp0)
          & occurrence_of(X99,tptp4)
          & next_subocc(X98,X99,tptp0)
          & ( occurrence_of(X100,tptp2)
            | occurrence_of(X100,tptp1) )
          & next_subocc(X99,X100,tptp0)
          & leaf(X100,tptp0) ) ),
    inference(fof_simplification,[status(thm)],[sos_32]) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X101,X102] :
        ( ( occurrence_of(X102,tptp0)
          & subactivity_occurrence(X101,X102)
          & arboreal(X101)
          & ~ leaf_occ(X101,X102) )
       => ? [X103,X104] :
            ( occurrence_of(X103,tptp3)
            & next_subocc(X101,X103,tptp0)
            & ( occurrence_of(X104,tptp2)
              | occurrence_of(X104,tptp1) )
            & min_precedes(X103,X104,tptp0)
            & leaf(X104,tptp0) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).

fof(c_0_6,plain,
    ! [X129,X130] :
      ( ( occurrence_of(esk8_1(X129),tptp3)
        | ~ occurrence_of(X130,tptp0)
        | ~ subactivity_occurrence(X129,X130)
        | ~ arboreal(X129)
        | leaf_occ(X129,X130) )
      & ( next_subocc(X129,esk8_1(X129),tptp0)
        | ~ occurrence_of(X130,tptp0)
        | ~ subactivity_occurrence(X129,X130)
        | ~ arboreal(X129)
        | leaf_occ(X129,X130) )
      & ( occurrence_of(esk9_1(X129),tptp4)
        | ~ occurrence_of(X130,tptp0)
        | ~ subactivity_occurrence(X129,X130)
        | ~ arboreal(X129)
        | leaf_occ(X129,X130) )
      & ( next_subocc(esk8_1(X129),esk9_1(X129),tptp0)
        | ~ occurrence_of(X130,tptp0)
        | ~ subactivity_occurrence(X129,X130)
        | ~ arboreal(X129)
        | leaf_occ(X129,X130) )
      & ( occurrence_of(esk10_1(X129),tptp2)
        | occurrence_of(esk10_1(X129),tptp1)
        | ~ occurrence_of(X130,tptp0)
        | ~ subactivity_occurrence(X129,X130)
        | ~ arboreal(X129)
        | leaf_occ(X129,X130) )
      & ( next_subocc(esk9_1(X129),esk10_1(X129),tptp0)
        | ~ occurrence_of(X130,tptp0)
        | ~ subactivity_occurrence(X129,X130)
        | ~ arboreal(X129)
        | leaf_occ(X129,X130) )
      & ( leaf(esk10_1(X129),tptp0)
        | ~ occurrence_of(X130,tptp0)
        | ~ subactivity_occurrence(X129,X130)
        | ~ arboreal(X129)
        | leaf_occ(X129,X130) ) ),
    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)],[c_0_4])])])])])])]) ).

fof(c_0_7,negated_conjecture,
    ! [X107,X108] :
      ( occurrence_of(esk2_0,tptp0)
      & subactivity_occurrence(esk1_0,esk2_0)
      & arboreal(esk1_0)
      & ~ leaf_occ(esk1_0,esk2_0)
      & ( ~ occurrence_of(X108,tptp2)
        | ~ occurrence_of(X107,tptp3)
        | ~ next_subocc(esk1_0,X107,tptp0)
        | ~ min_precedes(X107,X108,tptp0)
        | ~ leaf(X108,tptp0) )
      & ( ~ occurrence_of(X108,tptp1)
        | ~ occurrence_of(X107,tptp3)
        | ~ next_subocc(esk1_0,X107,tptp0)
        | ~ min_precedes(X107,X108,tptp0)
        | ~ leaf(X108,tptp0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).

cnf(c_0_8,plain,
    ( next_subocc(esk9_1(X1),esk10_1(X1),tptp0)
    | leaf_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    occurrence_of(esk2_0,tptp0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( leaf(esk10_1(X1),tptp0)
    | leaf_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ! [X145,X146,X147,X148,X149,X150,X151] :
      ( ( min_precedes(X145,X146,X147)
        | ~ next_subocc(X145,X146,X147) )
      & ( ~ min_precedes(X145,X148,X147)
        | ~ min_precedes(X148,X146,X147)
        | ~ next_subocc(X145,X146,X147) )
      & ( min_precedes(X149,esk12_3(X149,X150,X151),X151)
        | ~ min_precedes(X149,X150,X151)
        | next_subocc(X149,X150,X151) )
      & ( min_precedes(esk12_3(X149,X150,X151),X150,X151)
        | ~ min_precedes(X149,X150,X151)
        | next_subocc(X149,X150,X151) ) ),
    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)],[sos_04])])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ( next_subocc(esk9_1(X1),esk10_1(X1),tptp0)
    | leaf_occ(X1,esk2_0)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    subactivity_occurrence(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    arboreal(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    ~ leaf_occ(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,plain,
    ( next_subocc(esk8_1(X1),esk9_1(X1),tptp0)
    | leaf_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    ( leaf(esk10_1(X1),tptp0)
    | leaf_occ(X1,esk2_0)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_9]) ).

cnf(c_0_18,plain,
    ( occurrence_of(esk10_1(X1),tptp2)
    | occurrence_of(esk10_1(X1),tptp1)
    | leaf_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_19,plain,
    ! [X134,X135,X136,X137] :
      ( ~ min_precedes(X134,X135,X137)
      | ~ min_precedes(X135,X136,X137)
      | min_precedes(X134,X136,X137) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])]) ).

cnf(c_0_20,plain,
    ( min_precedes(X1,X2,X3)
    | ~ next_subocc(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    next_subocc(esk9_1(esk1_0),esk10_1(esk1_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ( next_subocc(esk8_1(X1),esk9_1(X1),tptp0)
    | leaf_occ(X1,esk2_0)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_9]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ occurrence_of(X1,tptp1)
    | ~ occurrence_of(X2,tptp3)
    | ~ next_subocc(esk1_0,X2,tptp0)
    | ~ min_precedes(X2,X1,tptp0)
    | ~ leaf(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_24,negated_conjecture,
    leaf(esk10_1(esk1_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_14])]),c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | occurrence_of(esk10_1(X1),tptp1)
    | occurrence_of(esk10_1(X1),tptp2)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_9]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ occurrence_of(X1,tptp2)
    | ~ occurrence_of(X2,tptp3)
    | ~ next_subocc(esk1_0,X2,tptp0)
    | ~ min_precedes(X2,X1,tptp0)
    | ~ leaf(X1,tptp0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27,plain,
    ( occurrence_of(esk8_1(X1),tptp3)
    | leaf_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_28,plain,
    ( next_subocc(X1,esk8_1(X1),tptp0)
    | leaf_occ(X1,X2)
    | ~ occurrence_of(X2,tptp0)
    | ~ subactivity_occurrence(X1,X2)
    | ~ arboreal(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_29,plain,
    ( min_precedes(X1,X4,X3)
    | ~ min_precedes(X1,X2,X3)
    | ~ min_precedes(X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_30,negated_conjecture,
    min_precedes(esk9_1(esk1_0),esk10_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    next_subocc(esk8_1(esk1_0),esk9_1(esk1_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_14])]),c_0_15]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ next_subocc(esk1_0,X1,tptp0)
    | ~ occurrence_of(esk10_1(esk1_0),tptp1)
    | ~ occurrence_of(X1,tptp3)
    | ~ min_precedes(X1,esk10_1(esk1_0),tptp0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ( occurrence_of(esk10_1(esk1_0),tptp2)
    | occurrence_of(esk10_1(esk1_0),tptp1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_13]),c_0_14])]),c_0_15]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ next_subocc(esk1_0,X1,tptp0)
    | ~ occurrence_of(esk10_1(esk1_0),tptp2)
    | ~ occurrence_of(X1,tptp3)
    | ~ min_precedes(X1,esk10_1(esk1_0),tptp0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_24]) ).

cnf(c_0_35,negated_conjecture,
    ( leaf_occ(X1,esk2_0)
    | occurrence_of(esk8_1(X1),tptp3)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_9]) ).

cnf(c_0_36,negated_conjecture,
    ( next_subocc(X1,esk8_1(X1),tptp0)
    | leaf_occ(X1,esk2_0)
    | ~ subactivity_occurrence(X1,esk2_0)
    | ~ arboreal(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_9]) ).

cnf(c_0_37,negated_conjecture,
    ( min_precedes(X1,esk10_1(esk1_0),tptp0)
    | ~ min_precedes(X1,esk9_1(esk1_0),tptp0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    min_precedes(esk8_1(esk1_0),esk9_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_20,c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ next_subocc(esk1_0,X1,tptp0)
    | ~ occurrence_of(X1,tptp3)
    | ~ min_precedes(X1,esk10_1(esk1_0),tptp0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    occurrence_of(esk8_1(esk1_0),tptp3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_13]),c_0_14])]),c_0_15]) ).

cnf(c_0_41,negated_conjecture,
    next_subocc(esk1_0,esk8_1(esk1_0),tptp0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_14])]),c_0_15]) ).

cnf(c_0_42,negated_conjecture,
    min_precedes(esk8_1(esk1_0),esk10_1(esk1_0),tptp0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : PRO014+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 15:47:22 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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.LgCdAPK6pe/E---3.1_32554.p
% 0.17/0.47  # Version: 3.1.0
% 0.17/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47  # Starting sh5l with 300s (1) cores
% 0.17/0.47  # new_bool_3 with pid 32633 completed with status 0
% 0.17/0.47  # Result found by new_bool_3
% 0.17/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47  # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.17/0.47  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 32636 completed with status 0
% 0.17/0.47  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 0.17/0.47  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47  # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.002 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Theorem
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 46
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 7
% 0.17/0.47  # Initial clauses                      : 76
% 0.17/0.47  # Removed in clause preprocessing      : 0
% 0.17/0.47  # Initial clauses in saturation        : 76
% 0.17/0.47  # Processed clauses                    : 355
% 0.17/0.47  # ...of these trivial                  : 10
% 0.17/0.47  # ...subsumed                          : 27
% 0.17/0.47  # ...remaining for further processing  : 318
% 0.17/0.47  # Other redundant clauses eliminated   : 0
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 3
% 0.17/0.47  # Backward-rewritten                   : 12
% 0.17/0.47  # Generated clauses                    : 432
% 0.17/0.47  # ...of the previous two non-redundant : 371
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 2
% 0.17/0.47  # Paramodulations                      : 432
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 0
% 0.17/0.47  # Disequality decompositions           : 0
% 0.17/0.47  # Total rewrite steps                  : 144
% 0.17/0.47  # ...of those cached                   : 99
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 227
% 0.17/0.47  #    Positive orientable unit clauses  : 75
% 0.17/0.47  #    Positive unorientable unit clauses: 0
% 0.17/0.47  #    Negative unit clauses             : 38
% 0.17/0.47  #    Non-unit-clauses                  : 114
% 0.17/0.47  # Current number of unprocessed clauses: 159
% 0.17/0.47  # ...number of literals in the above   : 354
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 91
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 5189
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 2123
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 13
% 0.17/0.47  # Unit Clause-clause subsumption calls : 450
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 14
% 0.17/0.47  # BW rewrite match successes           : 5
% 0.17/0.47  # Condensation attempts                : 0
% 0.17/0.47  # Condensation successes               : 0
% 0.17/0.47  # Termbank termtop insertions          : 11406
% 0.17/0.47  # Search garbage collected termcells   : 1187
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.020 s
% 0.17/0.47  # System time              : 0.003 s
% 0.17/0.47  # Total time               : 0.023 s
% 0.17/0.47  # Maximum resident set size: 2060 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.022 s
% 0.17/0.47  # System time              : 0.005 s
% 0.17/0.47  # Total time               : 0.027 s
% 0.17/0.47  # Maximum resident set size: 1808 pages
% 0.17/0.47  % E---3.1 exiting
% 0.17/0.48  % E exiting
%------------------------------------------------------------------------------