TSTP Solution File: MGT026+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : MGT026+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 : Sun Jul 17 22:09:38 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   59 (   7 unt;   0 def)
%            Number of atoms       :  215 (  21 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  271 ( 115   ~; 114   |;  29   &)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  106 (   2 sgn  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d1,hypothesis,
    ! [X1,X8] :
      ( ( environment(X1)
        & X8 = critical_point(X1) )
     => ( ~ greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
        & ! [X4] :
            ( ( subpopulations(first_movers,efficient_producers,X1,X4)
              & greater(X4,X8) )
           => greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1) ).

fof(mp_non_empty_fm_and_ep,axiom,
    ! [X1,X4] :
      ( ( environment(X1)
        & in_environment(X1,X4)
        & greater(cardinality_at_time(first_movers,X4),zero)
        & greater(cardinality_at_time(efficient_producers,X4),zero) )
     => subpopulations(first_movers,efficient_producers,X1,X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_non_empty_fm_and_ep) ).

fof(prove_l8,conjecture,
    ! [X1,X4] :
      ( ( environment(X1)
        & in_environment(X1,X4)
        & greater(X4,critical_point(X1)) )
     => selection_favors(efficient_producers,first_movers,X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_l8) ).

fof(mp_greater_or_equal,axiom,
    ! [X5,X6] :
      ( greater_or_equal(X5,X6)
    <=> ( greater(X5,X6)
        | X5 = X6 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_greater_or_equal) ).

fof(mp_critical_point_after_EP,axiom,
    ! [X1] :
      ( environment(X1)
     => greater_or_equal(critical_point(X1),appear(efficient_producers,X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_critical_point_after_EP) ).

fof(t6,hypothesis,
    ! [X1,X4] :
      ( ( environment(X1)
        & in_environment(X1,X4)
        & greater_or_equal(X4,appear(efficient_producers,X1)) )
     => greater(cardinality_at_time(efficient_producers,X4),zero) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6) ).

fof(mp_greater_transitivity,axiom,
    ! [X5,X6,X7] :
      ( ( greater(X5,X6)
        & greater(X6,X7) )
     => greater(X5,X7) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_greater_transitivity) ).

fof(mp2_favour_members,axiom,
    ! [X1,X2,X3,X4] :
      ( ( environment(X1)
        & subpopulation(X2,X1,X4)
        & subpopulation(X3,X1,X4)
        & greater(cardinality_at_time(X2,X4),zero)
        & cardinality_at_time(X3,X4) = zero )
     => selection_favors(X2,X3,X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp2_favour_members) ).

fof(mp_subpopulations,axiom,
    ! [X1,X4] :
      ( ( environment(X1)
        & in_environment(X1,X4) )
     => ( subpopulation(first_movers,X1,X4)
        & subpopulation(efficient_producers,X1,X4) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_subpopulations) ).

fof(mp1_high_growth_rates,axiom,
    ! [X1,X2,X3,X4] :
      ( ( environment(X1)
        & subpopulations(X2,X3,X1,X4)
        & greater(growth_rate(X3,X4),growth_rate(X2,X4)) )
     => selection_favors(X3,X2,X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp1_high_growth_rates) ).

fof(mp_first_movers_exist,axiom,
    ! [X1,X4] :
      ( ( environment(X1)
        & in_environment(X1,X4) )
     => greater_or_equal(cardinality_at_time(first_movers,X4),zero) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_first_movers_exist) ).

fof(c_0_11,hypothesis,
    ! [X9,X10,X11] :
      ( ( ~ greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
        | ~ environment(X9)
        | X10 != critical_point(X9) )
      & ( ~ subpopulations(first_movers,efficient_producers,X9,X11)
        | ~ greater(X11,X10)
        | greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11))
        | ~ environment(X9)
        | X10 != critical_point(X9) ) ),
    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)],[inference(fof_simplification,[status(thm)],[d1])])])])])])]) ).

fof(c_0_12,plain,
    ! [X5,X6] :
      ( ~ environment(X5)
      | ~ in_environment(X5,X6)
      | ~ greater(cardinality_at_time(first_movers,X6),zero)
      | ~ greater(cardinality_at_time(efficient_producers,X6),zero)
      | subpopulations(first_movers,efficient_producers,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_non_empty_fm_and_ep])]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X4] :
        ( ( environment(X1)
          & in_environment(X1,X4)
          & greater(X4,critical_point(X1)) )
       => selection_favors(efficient_producers,first_movers,X4) ),
    inference(assume_negation,[status(cth)],[prove_l8]) ).

fof(c_0_14,plain,
    ! [X7,X8,X7,X8] :
      ( ( ~ greater_or_equal(X7,X8)
        | greater(X7,X8)
        | X7 = X8 )
      & ( ~ greater(X7,X8)
        | greater_or_equal(X7,X8) )
      & ( X7 != X8
        | greater_or_equal(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])])])]) ).

fof(c_0_15,plain,
    ! [X2] :
      ( ~ environment(X2)
      | greater_or_equal(critical_point(X2),appear(efficient_producers,X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_critical_point_after_EP])]) ).

cnf(c_0_16,hypothesis,
    ( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
    | X1 != critical_point(X2)
    | ~ environment(X2)
    | ~ greater(X3,X1)
    | ~ subpopulations(first_movers,efficient_producers,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ greater(cardinality_at_time(efficient_producers,X2),zero)
    | ~ greater(cardinality_at_time(first_movers,X2),zero)
    | ~ in_environment(X1,X2)
    | ~ environment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,negated_conjecture,
    ( environment(esk1_0)
    & in_environment(esk1_0,esk2_0)
    & greater(esk2_0,critical_point(esk1_0))
    & ~ selection_favors(efficient_producers,first_movers,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_19,hypothesis,
    ! [X5,X6] :
      ( ~ environment(X5)
      | ~ in_environment(X5,X6)
      | ~ greater_or_equal(X6,appear(efficient_producers,X5))
      | greater(cardinality_at_time(efficient_producers,X6),zero) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6])]) ).

fof(c_0_20,plain,
    ! [X8,X9,X10] :
      ( ~ greater(X8,X9)
      | ~ greater(X9,X10)
      | greater(X8,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).

cnf(c_0_21,plain,
    ( X1 = X2
    | greater(X1,X2)
    | ~ greater_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
    | ~ environment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | X2 != critical_point(X3)
    | ~ in_environment(X3,X1)
    | ~ greater(cardinality_at_time(first_movers,X1),zero)
    | ~ greater(cardinality_at_time(efficient_producers,X1),zero)
    | ~ greater(X1,X2)
    | ~ environment(X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    in_environment(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    environment(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_26,plain,
    ! [X5,X6,X7,X8] :
      ( ~ environment(X5)
      | ~ subpopulation(X6,X5,X8)
      | ~ subpopulation(X7,X5,X8)
      | ~ greater(cardinality_at_time(X6,X8),zero)
      | cardinality_at_time(X7,X8) != zero
      | selection_favors(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp2_favour_members])]) ).

fof(c_0_27,plain,
    ! [X5,X6] :
      ( ( subpopulation(first_movers,X5,X6)
        | ~ environment(X5)
        | ~ in_environment(X5,X6) )
      & ( subpopulation(efficient_producers,X5,X6)
        | ~ environment(X5)
        | ~ in_environment(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_subpopulations])])]) ).

cnf(c_0_28,hypothesis,
    ( greater(cardinality_at_time(efficient_producers,X1),zero)
    | ~ greater_or_equal(X1,appear(efficient_producers,X2))
    | ~ in_environment(X2,X1)
    | ~ environment(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,plain,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_30,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,plain,
    ( appear(efficient_producers,X1) = critical_point(X1)
    | greater(critical_point(X1),appear(efficient_producers,X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_32,plain,
    ! [X5,X6,X7,X8] :
      ( ~ environment(X5)
      | ~ subpopulations(X6,X7,X5,X8)
      | ~ greater(growth_rate(X7,X8),growth_rate(X6,X8))
      | selection_favors(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp1_high_growth_rates])]) ).

cnf(c_0_33,negated_conjecture,
    ( greater(growth_rate(efficient_producers,esk2_0),growth_rate(first_movers,esk2_0))
    | X1 != critical_point(esk1_0)
    | ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
    | ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
    | ~ greater(esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_34,negated_conjecture,
    greater(esk2_0,critical_point(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_35,plain,
    ! [X5,X6] :
      ( ~ environment(X5)
      | ~ in_environment(X5,X6)
      | greater_or_equal(cardinality_at_time(first_movers,X6),zero) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_first_movers_exist])]) ).

cnf(c_0_36,plain,
    ( selection_favors(X1,X2,X3)
    | cardinality_at_time(X2,X3) != zero
    | ~ greater(cardinality_at_time(X1,X3),zero)
    | ~ subpopulation(X2,X4,X3)
    | ~ subpopulation(X1,X4,X3)
    | ~ environment(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    ( subpopulation(first_movers,X1,X2)
    | ~ in_environment(X1,X2)
    | ~ environment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,hypothesis,
    ( greater(cardinality_at_time(efficient_producers,X1),zero)
    | ~ in_environment(X2,X1)
    | ~ greater(X1,appear(efficient_producers,X2))
    | ~ environment(X2) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_39,plain,
    ( appear(efficient_producers,X1) = critical_point(X1)
    | greater(X2,appear(efficient_producers,X1))
    | ~ greater(X2,critical_point(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_40,plain,
    ( selection_favors(X1,X2,X3)
    | ~ greater(growth_rate(X1,X3),growth_rate(X2,X3))
    | ~ subpopulations(X2,X1,X4,X3)
    | ~ environment(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    ( greater(growth_rate(efficient_producers,esk2_0),growth_rate(first_movers,esk2_0))
    | ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
    | ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_42,negated_conjecture,
    ~ selection_favors(efficient_producers,first_movers,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_43,plain,
    ( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
    | ~ in_environment(X2,X1)
    | ~ environment(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,plain,
    ( selection_favors(X1,first_movers,X2)
    | cardinality_at_time(first_movers,X2) != zero
    | ~ in_environment(X3,X2)
    | ~ subpopulation(X1,X3,X2)
    | ~ greater(cardinality_at_time(X1,X2),zero)
    | ~ environment(X3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_45,plain,
    ( subpopulation(efficient_producers,X1,X2)
    | ~ in_environment(X1,X2)
    | ~ environment(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_46,hypothesis,
    ( appear(efficient_producers,X1) = critical_point(X1)
    | greater(cardinality_at_time(efficient_producers,X2),zero)
    | ~ in_environment(X1,X2)
    | ~ greater(X2,critical_point(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
    | ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
    | ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
    | ~ environment(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    greater_or_equal(cardinality_at_time(first_movers,esk2_0),zero),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_24]),c_0_25])]) ).

cnf(c_0_49,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | cardinality_at_time(first_movers,X1) != zero
    | ~ in_environment(X2,X1)
    | ~ greater(cardinality_at_time(efficient_producers,X1),zero)
    | ~ environment(X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    ( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
    | greater(cardinality_at_time(efficient_producers,esk2_0),zero) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_34]),c_0_24]),c_0_25])]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ in_environment(X1,esk2_0)
    | ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
    | ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_17]) ).

cnf(c_0_52,negated_conjecture,
    ( cardinality_at_time(first_movers,esk2_0) = zero
    | greater(cardinality_at_time(first_movers,esk2_0),zero) ),
    inference(spm,[status(thm)],[c_0_21,c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    ( cardinality_at_time(first_movers,esk2_0) != zero
    | ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_24]),c_0_25])]),c_0_42]) ).

cnf(c_0_54,hypothesis,
    ( greater(cardinality_at_time(efficient_producers,esk2_0),zero)
    | greater(cardinality_at_time(efficient_producers,X1),zero)
    | ~ in_environment(esk1_0,X1)
    | ~ greater(X1,critical_point(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_50]),c_0_25])]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ in_environment(X1,esk2_0)
    | ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
    | ~ environment(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    greater(cardinality_at_time(efficient_producers,esk2_0),zero),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_34]),c_0_24])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ in_environment(X1,esk2_0)
    | ~ environment(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_24]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : MGT026+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun  9 12:42:34 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.015 s
% 0.22/1.41  
% 0.22/1.41  # Failure: Out of unprocessed clauses!
% 0.22/1.41  # OLD status GaveUp
% 0.22/1.41  # Parsed axioms                        : 11
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 2
% 0.22/1.41  # Initial clauses                      : 15
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 15
% 0.22/1.41  # Processed clauses                    : 57
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 4
% 0.22/1.41  # ...remaining for further processing  : 53
% 0.22/1.41  # Other redundant clauses eliminated   : 1
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 1
% 0.22/1.41  # Backward-rewritten                   : 10
% 0.22/1.41  # Generated clauses                    : 52
% 0.22/1.41  # ...of the previous two non-trivial   : 49
% 0.22/1.41  # Contextual simplify-reflections      : 2
% 0.22/1.41  # Paramodulations                      : 51
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 1
% 0.22/1.41  # Current number of processed clauses  : 41
% 0.22/1.41  #    Positive orientable unit clauses  : 6
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 2
% 0.22/1.41  #    Non-unit-clauses                  : 33
% 0.22/1.41  # Current number of unprocessed clauses: 0
% 0.22/1.41  # ...number of literals in the above   : 0
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 11
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 427
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 109
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 5
% 0.22/1.41  # Unit Clause-clause subsumption calls : 27
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 6
% 0.22/1.41  # BW rewrite match successes           : 2
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 2559
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.016 s
% 0.22/1.41  # System time              : 0.004 s
% 0.22/1.41  # Total time               : 0.019 s
% 0.22/1.41  # Maximum resident set size: 2788 pages
% 0.22/1.41  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.22/1.41  # Preprocessing time       : 0.015 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 59
% 0.22/1.41  # Proof object clause steps            : 36
% 0.22/1.41  # Proof object formula steps           : 23
% 0.22/1.41  # Proof object conjectures             : 19
% 0.22/1.41  # Proof object clause conjectures      : 16
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 16
% 0.22/1.41  # Proof object initial formulas used   : 11
% 0.22/1.41  # Proof object generating inferences   : 19
% 0.22/1.41  # Proof object simplifying inferences  : 20
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 11
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.41  # Initial clauses                      : 18
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 18
% 0.22/1.41  # Processed clauses                    : 70
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 4
% 0.22/1.41  # ...remaining for further processing  : 66
% 0.22/1.41  # Other redundant clauses eliminated   : 1
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 4
% 0.22/1.41  # Backward-rewritten                   : 12
% 0.22/1.41  # Generated clauses                    : 59
% 0.22/1.41  # ...of the previous two non-trivial   : 63
% 0.22/1.41  # Contextual simplify-reflections      : 5
% 0.22/1.41  # Paramodulations                      : 57
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 1
% 0.22/1.41  # Current number of processed clauses  : 48
% 0.22/1.41  #    Positive orientable unit clauses  : 6
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 2
% 0.22/1.41  #    Non-unit-clauses                  : 40
% 0.22/1.41  # Current number of unprocessed clauses: 7
% 0.22/1.41  # ...number of literals in the above   : 20
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 17
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 537
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 172
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 13
% 0.22/1.41  # Unit Clause-clause subsumption calls : 28
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 6
% 0.22/1.41  # BW rewrite match successes           : 1
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 3067
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.017 s
% 0.22/1.41  # System time              : 0.003 s
% 0.22/1.41  # Total time               : 0.020 s
% 0.22/1.41  # Maximum resident set size: 2788 pages
%------------------------------------------------------------------------------