TSTP Solution File: GRA004+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GRA004+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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 : Sat Jul 16 07:16:07 EDT 2022

% Result   : Theorem 0.21s 1.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   54 (  13 unt;   0 def)
%            Number of atoms       :  217 (  55 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  277 ( 114   ~; 106   |;  44   &)
%                                         (   2 <=>;   9  =>;   1  <=;   1 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :  134 (  25 sgn  70   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(shortest_path_properties_lemma,conjecture,
    ! [X2,X3,X7,X8,X4] :
      ( ( shortest_path(X2,X3,X4)
        & precedes(X7,X8,X4) )
     => ( ~ ? [X9] :
              ( tail_of(X9) = tail_of(X7)
              & head_of(X9) = head_of(X8) )
        & head_of(X8) != tail_of(X7)
        & head_of(X8) != head_of(X7) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',shortest_path_properties_lemma) ).

fof(shortest_path_properties,axiom,
    ! [X2,X3,X7,X8,X4] :
      ( ( shortest_path(X2,X3,X4)
        & precedes(X7,X8,X4) )
     => ( ~ ? [X9] :
              ( tail_of(X9) = tail_of(X7)
              & head_of(X9) = head_of(X8) )
        & ~ precedes(X8,X7,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',shortest_path_properties) ).

fof(precedes_defn,axiom,
    ! [X4,X2,X3] :
      ( path(X2,X3,X4)
     => ! [X7,X8] :
          ( precedes(X7,X8,X4)
         <= ( on_path(X7,X4)
            & on_path(X8,X4)
            & ( sequential(X7,X8)
              | ? [X9] :
                  ( sequential(X7,X9)
                  & precedes(X9,X8,X4) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',precedes_defn) ).

fof(precedes_properties,axiom,
    ! [X4,X2,X3] :
      ( path(X2,X3,X4)
     => ! [X7,X8] :
          ( precedes(X7,X8,X4)
         => ( on_path(X7,X4)
            & on_path(X8,X4)
            & ( sequential(X7,X8)
            <~> ? [X9] :
                  ( sequential(X7,X9)
                  & precedes(X9,X8,X4) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',precedes_properties) ).

fof(shortest_path_defn,axiom,
    ! [X2,X3,X10] :
      ( shortest_path(X2,X3,X10)
    <=> ( path(X2,X3,X10)
        & X2 != X3
        & ! [X4] :
            ( path(X2,X3,X4)
           => less_or_equal(length_of(X10),length_of(X4)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',shortest_path_defn) ).

fof(on_path_properties,axiom,
    ! [X2,X3,X4,X1] :
      ( ( path(X2,X3,X4)
        & on_path(X1,X4) )
     => ( edge(X1)
        & in_path(head_of(X1),X4)
        & in_path(tail_of(X1),X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',on_path_properties) ).

fof(sequential_defn,axiom,
    ! [X7,X8] :
      ( sequential(X7,X8)
    <=> ( edge(X7)
        & edge(X8)
        & X7 != X8
        & head_of(X7) = tail_of(X8) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',sequential_defn) ).

fof(no_loops,axiom,
    ! [X1] :
      ( edge(X1)
     => head_of(X1) != tail_of(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRA001+0.ax',no_loops) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X2,X3,X7,X8,X4] :
        ( ( shortest_path(X2,X3,X4)
          & precedes(X7,X8,X4) )
       => ( ~ ? [X9] :
                ( tail_of(X9) = tail_of(X7)
                & head_of(X9) = head_of(X8) )
          & head_of(X8) != tail_of(X7)
          & head_of(X8) != head_of(X7) ) ),
    inference(assume_negation,[status(cth)],[shortest_path_properties_lemma]) ).

fof(c_0_9,plain,
    ! [X10,X11,X12,X13,X14,X15] :
      ( ( tail_of(X15) != tail_of(X12)
        | head_of(X15) != head_of(X13)
        | ~ shortest_path(X10,X11,X14)
        | ~ precedes(X12,X13,X14) )
      & ( ~ precedes(X13,X12,X14)
        | ~ shortest_path(X10,X11,X14)
        | ~ precedes(X12,X13,X14) ) ),
    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)],[shortest_path_properties])])])])])])]) ).

fof(c_0_10,negated_conjecture,
    ( shortest_path(esk9_0,esk10_0,esk13_0)
    & precedes(esk11_0,esk12_0,esk13_0)
    & ( tail_of(esk14_0) = tail_of(esk11_0)
      | head_of(esk12_0) = tail_of(esk11_0)
      | head_of(esk12_0) = head_of(esk11_0) )
    & ( head_of(esk14_0) = head_of(esk12_0)
      | head_of(esk12_0) = tail_of(esk11_0)
      | head_of(esk12_0) = head_of(esk11_0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).

cnf(c_0_11,plain,
    ( ~ precedes(X1,X2,X3)
    | ~ shortest_path(X4,X5,X3)
    | head_of(X6) != head_of(X2)
    | tail_of(X6) != tail_of(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    shortest_path(esk9_0,esk10_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_13,plain,
    ! [X10,X11,X12,X13,X14,X15] :
      ( ( ~ sequential(X13,X14)
        | ~ on_path(X13,X10)
        | ~ on_path(X14,X10)
        | precedes(X13,X14,X10)
        | ~ path(X11,X12,X10) )
      & ( ~ sequential(X13,X15)
        | ~ precedes(X15,X14,X10)
        | ~ on_path(X13,X10)
        | ~ on_path(X14,X10)
        | precedes(X13,X14,X10)
        | ~ path(X11,X12,X10) ) ),
    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)],[precedes_defn])])])])])])]) ).

fof(c_0_14,plain,
    ! [X10,X11,X12,X13,X14,X15] :
      ( ( on_path(X13,X10)
        | ~ precedes(X13,X14,X10)
        | ~ path(X11,X12,X10) )
      & ( on_path(X14,X10)
        | ~ precedes(X13,X14,X10)
        | ~ path(X11,X12,X10) )
      & ( ~ sequential(X13,X14)
        | ~ sequential(X13,X15)
        | ~ precedes(X15,X14,X10)
        | ~ precedes(X13,X14,X10)
        | ~ path(X11,X12,X10) )
      & ( sequential(X13,esk5_3(X10,X13,X14))
        | sequential(X13,X14)
        | ~ precedes(X13,X14,X10)
        | ~ path(X11,X12,X10) )
      & ( precedes(esk5_3(X10,X13,X14),X14,X10)
        | sequential(X13,X14)
        | ~ precedes(X13,X14,X10)
        | ~ path(X11,X12,X10) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[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)],[precedes_properties])])])])])])])]) ).

fof(c_0_15,plain,
    ! [X11,X12,X13,X14,X11,X12,X13] :
      ( ( path(X11,X12,X13)
        | ~ shortest_path(X11,X12,X13) )
      & ( X11 != X12
        | ~ shortest_path(X11,X12,X13) )
      & ( ~ path(X11,X12,X14)
        | less_or_equal(length_of(X13),length_of(X14))
        | ~ shortest_path(X11,X12,X13) )
      & ( path(X11,X12,esk6_3(X11,X12,X13))
        | ~ path(X11,X12,X13)
        | X11 = X12
        | shortest_path(X11,X12,X13) )
      & ( ~ less_or_equal(length_of(X13),length_of(esk6_3(X11,X12,X13)))
        | ~ path(X11,X12,X13)
        | X11 = X12
        | shortest_path(X11,X12,X13) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[shortest_path_defn])])])])])])]) ).

cnf(c_0_16,negated_conjecture,
    ( head_of(X1) != head_of(X2)
    | tail_of(X3) != tail_of(X2)
    | ~ precedes(X3,X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    precedes(esk11_0,esk12_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( precedes(X4,X5,X3)
    | ~ path(X1,X2,X3)
    | ~ on_path(X5,X3)
    | ~ on_path(X4,X3)
    | ~ precedes(X6,X5,X3)
    | ~ sequential(X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( on_path(X5,X3)
    | ~ path(X1,X2,X3)
    | ~ precedes(X4,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( path(X1,X2,X3)
    | ~ shortest_path(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,plain,
    ! [X5,X6,X7,X8] :
      ( ( edge(X8)
        | ~ path(X5,X6,X7)
        | ~ on_path(X8,X7) )
      & ( in_path(head_of(X8),X7)
        | ~ path(X5,X6,X7)
        | ~ on_path(X8,X7) )
      & ( in_path(tail_of(X8),X7)
        | ~ path(X5,X6,X7)
        | ~ on_path(X8,X7) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[on_path_properties])])]) ).

cnf(c_0_22,plain,
    ( on_path(X4,X3)
    | ~ path(X1,X2,X3)
    | ~ precedes(X4,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,negated_conjecture,
    ( head_of(esk12_0) != head_of(X1)
    | tail_of(esk11_0) != tail_of(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_24,plain,
    ( precedes(X1,X2,X3)
    | ~ precedes(X4,X2,X3)
    | ~ sequential(X1,X4)
    | ~ on_path(X1,X3)
    | ~ path(X5,X6,X3) ),
    inference(csr,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    path(esk9_0,esk10_0,esk13_0),
    inference(spm,[status(thm)],[c_0_20,c_0_12]) ).

cnf(c_0_26,plain,
    ( edge(X1)
    | ~ on_path(X1,X2)
    | ~ path(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    ( on_path(esk11_0,esk13_0)
    | ~ path(X1,X2,esk13_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_17]) ).

cnf(c_0_28,negated_conjecture,
    ( head_of(esk12_0) = head_of(esk11_0)
    | head_of(esk12_0) = tail_of(esk11_0)
    | tail_of(esk14_0) = tail_of(esk11_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_29,negated_conjecture,
    head_of(esk11_0) != head_of(esk12_0),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ( head_of(esk12_0) = head_of(esk11_0)
    | head_of(esk12_0) = tail_of(esk11_0)
    | head_of(esk14_0) = head_of(esk12_0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_31,negated_conjecture,
    ( precedes(X1,X2,esk13_0)
    | ~ precedes(X3,X2,esk13_0)
    | ~ sequential(X1,X3)
    | ~ on_path(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    ( on_path(esk12_0,esk13_0)
    | ~ path(X1,X2,esk13_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_17]) ).

fof(c_0_33,plain,
    ! [X9,X10,X9,X10] :
      ( ( edge(X9)
        | ~ sequential(X9,X10) )
      & ( edge(X10)
        | ~ sequential(X9,X10) )
      & ( X9 != X10
        | ~ sequential(X9,X10) )
      & ( head_of(X9) = tail_of(X10)
        | ~ sequential(X9,X10) )
      & ( ~ edge(X9)
        | ~ edge(X10)
        | X9 = X10
        | head_of(X9) != tail_of(X10)
        | sequential(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sequential_defn])])])])]) ).

cnf(c_0_34,negated_conjecture,
    ( edge(X1)
    | ~ on_path(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_25]) ).

cnf(c_0_35,negated_conjecture,
    on_path(esk11_0,esk13_0),
    inference(spm,[status(thm)],[c_0_27,c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    ( tail_of(esk11_0) = head_of(esk12_0)
    | tail_of(esk14_0) = tail_of(esk11_0) ),
    inference(sr,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,negated_conjecture,
    ( head_of(esk14_0) = head_of(esk12_0)
    | tail_of(esk11_0) = head_of(esk12_0) ),
    inference(sr,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_38,plain,
    ( ~ precedes(X1,X2,X3)
    | ~ shortest_path(X4,X5,X3)
    | ~ precedes(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_39,negated_conjecture,
    ( precedes(X1,esk12_0,esk13_0)
    | ~ sequential(X1,esk11_0)
    | ~ on_path(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_17]) ).

cnf(c_0_40,negated_conjecture,
    on_path(esk12_0,esk13_0),
    inference(spm,[status(thm)],[c_0_32,c_0_25]) ).

cnf(c_0_41,plain,
    ( sequential(X1,X2)
    | X1 = X2
    | head_of(X1) != tail_of(X2)
    | ~ edge(X2)
    | ~ edge(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    edge(esk11_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_43,negated_conjecture,
    tail_of(esk11_0) = head_of(esk12_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_36]),c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ precedes(X1,X2,esk13_0)
    | ~ precedes(X2,X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_12]) ).

cnf(c_0_45,negated_conjecture,
    ( precedes(esk12_0,esk12_0,esk13_0)
    | ~ sequential(esk12_0,esk11_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_46,plain,
    ! [X2] :
      ( ~ edge(X2)
      | head_of(X2) != tail_of(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[no_loops])]) ).

cnf(c_0_47,negated_conjecture,
    ( X1 = esk11_0
    | sequential(X1,esk11_0)
    | head_of(esk12_0) != head_of(X1)
    | ~ edge(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    edge(esk12_0),
    inference(spm,[status(thm)],[c_0_34,c_0_40]) ).

cnf(c_0_49,negated_conjecture,
    ~ sequential(esk12_0,esk11_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_45]) ).

cnf(c_0_50,plain,
    ( head_of(X1) != tail_of(X1)
    | ~ edge(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    esk11_0 = esk12_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    tail_of(esk12_0) != head_of(esk12_0),
    inference(spm,[status(thm)],[c_0_50,c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_51]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : GRA004+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.08/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue May 31 03:58:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40  # Preprocessing time       : 0.016 s
% 0.21/1.40  
% 0.21/1.40  # Failure: Out of unprocessed clauses!
% 0.21/1.40  # OLD status GaveUp
% 0.21/1.40  # Parsed axioms                        : 18
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 12
% 0.21/1.40  # Initial clauses                      : 19
% 0.21/1.40  # Removed in clause preprocessing      : 0
% 0.21/1.40  # Initial clauses in saturation        : 19
% 0.21/1.40  # Processed clauses                    : 49
% 0.21/1.40  # ...of these trivial                  : 0
% 0.21/1.40  # ...subsumed                          : 10
% 0.21/1.40  # ...remaining for further processing  : 39
% 0.21/1.40  # Other redundant clauses eliminated   : 1
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 7
% 0.21/1.40  # Backward-rewritten                   : 3
% 0.21/1.40  # Generated clauses                    : 43
% 0.21/1.40  # ...of the previous two non-trivial   : 34
% 0.21/1.40  # Contextual simplify-reflections      : 9
% 0.21/1.40  # Paramodulations                      : 36
% 0.21/1.40  # Factorizations                       : 2
% 0.21/1.40  # Equation resolutions                 : 3
% 0.21/1.40  # Current number of processed clauses  : 26
% 0.21/1.40  #    Positive orientable unit clauses  : 3
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 3
% 0.21/1.40  #    Non-unit-clauses                  : 20
% 0.21/1.40  # Current number of unprocessed clauses: 0
% 0.21/1.40  # ...number of literals in the above   : 0
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 12
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 49
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 27
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 17
% 0.21/1.40  # Unit Clause-clause subsumption calls : 15
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 1
% 0.21/1.40  # BW rewrite match successes           : 1
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 2308
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.014 s
% 0.21/1.40  # System time              : 0.004 s
% 0.21/1.40  # Total time               : 0.018 s
% 0.21/1.40  # Maximum resident set size: 2724 pages
% 0.21/1.40  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.21/1.40  # Preprocessing time       : 0.018 s
% 0.21/1.40  
% 0.21/1.40  # Proof found!
% 0.21/1.40  # SZS status Theorem
% 0.21/1.40  # SZS output start CNFRefutation
% See solution above
% 0.21/1.40  # Proof object total steps             : 54
% 0.21/1.40  # Proof object clause steps            : 37
% 0.21/1.40  # Proof object formula steps           : 17
% 0.21/1.40  # Proof object conjectures             : 30
% 0.21/1.40  # Proof object clause conjectures      : 27
% 0.21/1.40  # Proof object formula conjectures     : 3
% 0.21/1.40  # Proof object initial clauses used    : 13
% 0.21/1.40  # Proof object initial formulas used   : 8
% 0.21/1.40  # Proof object generating inferences   : 20
% 0.21/1.40  # Proof object simplifying inferences  : 9
% 0.21/1.40  # Training examples: 0 positive, 0 negative
% 0.21/1.40  # Parsed axioms                        : 18
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.21/1.40  # Initial clauses                      : 63
% 0.21/1.40  # Removed in clause preprocessing      : 1
% 0.21/1.40  # Initial clauses in saturation        : 62
% 0.21/1.40  # Processed clauses                    : 156
% 0.21/1.40  # ...of these trivial                  : 0
% 0.21/1.40  # ...subsumed                          : 16
% 0.21/1.40  # ...remaining for further processing  : 140
% 0.21/1.40  # Other redundant clauses eliminated   : 2
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 4
% 0.21/1.40  # Backward-rewritten                   : 29
% 0.21/1.40  # Generated clauses                    : 258
% 0.21/1.40  # ...of the previous two non-trivial   : 229
% 0.21/1.40  # Contextual simplify-reflections      : 14
% 0.21/1.40  # Paramodulations                      : 251
% 0.21/1.40  # Factorizations                       : 0
% 0.21/1.40  # Equation resolutions                 : 4
% 0.21/1.40  # Current number of processed clauses  : 102
% 0.21/1.40  #    Positive orientable unit clauses  : 13
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 3
% 0.21/1.40  #    Non-unit-clauses                  : 86
% 0.21/1.40  # Current number of unprocessed clauses: 98
% 0.21/1.40  # ...number of literals in the above   : 438
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 36
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 2214
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 1454
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 20
% 0.21/1.40  # Unit Clause-clause subsumption calls : 358
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 7
% 0.21/1.40  # BW rewrite match successes           : 7
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 7576
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.028 s
% 0.21/1.40  # System time              : 0.001 s
% 0.21/1.40  # Total time               : 0.029 s
% 0.21/1.40  # Maximum resident set size: 3280 pages
%------------------------------------------------------------------------------