TSTP Solution File: SWC112+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC112+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n005.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 : Tue Jul 19 20:26:45 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   57 (  18 unt;   0 def)
%            Number of atoms       :  264 (  97 equ)
%            Maximal formula atoms :   36 (   4 avg)
%            Number of connectives :  330 ( 123   ~; 122   |;  56   &)
%                                         (   4 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   87 (   0 sgn  48   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X5,X3),X6) != X4
                              | ~ strictorderedP(X3)
                              | ? [X7] :
                                  ( ssItem(X7)
                                  & ? [X8] :
                                      ( ssList(X8)
                                      & app(X8,cons(X7,nil)) = X5
                                      & ? [X9] :
                                          ( ssItem(X9)
                                          & ? [X10] :
                                              ( ssList(X10)
                                              & app(cons(X9,nil),X10) = X3
                                              & lt(X7,X9) ) ) ) )
                              | ? [X11] :
                                  ( ssItem(X11)
                                  & ? [X12] :
                                      ( ssList(X12)
                                      & app(cons(X11,nil),X12) = X6
                                      & ? [X13] :
                                          ( ssItem(X13)
                                          & ? [X14] :
                                              ( ssList(X14)
                                              & app(X14,cons(X13,nil)) = X3
                                              & lt(X13,X11) ) ) ) ) ) ) )
                    | ( nil != X4
                      & nil = X3 )
                    | ( ( nil != X2
                        | nil = X1 )
                      & ( ~ neq(X2,nil)
                        | ( neq(X1,nil)
                          & segmentP(X2,X1) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax58,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( segmentP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ! [X5] :
                          ( ssList(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ( app(app(X5,X3),X6) != X4
                                | ~ strictorderedP(X3)
                                | ? [X7] :
                                    ( ssItem(X7)
                                    & ? [X8] :
                                        ( ssList(X8)
                                        & app(X8,cons(X7,nil)) = X5
                                        & ? [X9] :
                                            ( ssItem(X9)
                                            & ? [X10] :
                                                ( ssList(X10)
                                                & app(cons(X9,nil),X10) = X3
                                                & lt(X7,X9) ) ) ) )
                                | ? [X11] :
                                    ( ssItem(X11)
                                    & ? [X12] :
                                        ( ssList(X12)
                                        & app(cons(X11,nil),X12) = X6
                                        & ? [X13] :
                                            ( ssItem(X13)
                                            & ? [X14] :
                                                ( ssList(X14)
                                                & app(X14,cons(X13,nil)) = X3
                                                & lt(X13,X11) ) ) ) ) ) ) )
                      | ( nil != X4
                        & nil = X3 )
                      | ( ( nil != X2
                          | nil = X1 )
                        & ( ~ neq(X2,nil)
                          | ( neq(X1,nil)
                            & segmentP(X2,X1) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_10,negated_conjecture,
    ! [X21,X22,X23,X24,X25,X26,X27,X28] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ssList(esk5_0)
      & ssList(esk6_0)
      & app(app(esk5_0,esk3_0),esk6_0) = esk4_0
      & strictorderedP(esk3_0)
      & ( ~ ssItem(X21)
        | ~ ssList(X22)
        | app(X22,cons(X21,nil)) != esk5_0
        | ~ ssItem(X23)
        | ~ ssList(X24)
        | app(cons(X23,nil),X24) != esk3_0
        | ~ lt(X21,X23) )
      & ( ~ ssItem(X25)
        | ~ ssList(X26)
        | app(cons(X25,nil),X26) != esk6_0
        | ~ ssItem(X27)
        | ~ ssList(X28)
        | app(X28,cons(X27,nil)) != esk3_0
        | ~ lt(X27,X25) )
      & ( nil = esk4_0
        | nil != esk3_0 )
      & ( neq(esk2_0,nil)
        | nil = esk2_0 )
      & ( ~ neq(esk1_0,nil)
        | ~ segmentP(esk2_0,esk1_0)
        | nil = esk2_0 )
      & ( neq(esk2_0,nil)
        | nil != esk1_0 )
      & ( ~ neq(esk1_0,nil)
        | ~ segmentP(esk2_0,esk1_0)
        | nil != esk1_0 ) ),
    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)],[c_0_9])])])])])])])]) ).

fof(c_0_11,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
    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)],[ax82])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ! [X3,X4] :
      ( ( nil = X4
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil = X3
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil != X4
        | nil != X3
        | nil = app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    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)],[ax83])])])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( nil = esk2_0
    | ~ segmentP(esk2_0,esk1_0)
    | ~ neq(esk1_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_17,plain,
    ! [X3,X4] :
      ( ( ~ neq(X3,X4)
        | X3 != X4
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( X3 = X4
        | neq(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    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)],[ax15])])])])])]) ).

fof(c_0_18,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk7_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ssList(esk8_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( app(app(esk7_2(X5,X6),X6),esk8_2(X5,X6)) = X5
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(app(X9,X6),X10) != X5
        | segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) ) ),
    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)],[ax7])])])])])])]) ).

cnf(c_0_19,negated_conjecture,
    app(app(esk5_0,esk3_0),esk6_0) = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    ssList(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ssList(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_24,plain,
    ( nil = X2
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != app(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_25,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssList(X4)
      | ssList(app(X3,X4)) ),
    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)],[ax26])])])])]) ).

cnf(c_0_26,negated_conjecture,
    ( nil = esk4_0
    | ~ segmentP(esk4_0,esk3_0)
    | ~ neq(esk3_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_13]),c_0_16]),c_0_13]) ).

cnf(c_0_27,plain,
    ( neq(X1,X2)
    | X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_28,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_29,negated_conjecture,
    ( nil = esk4_0
    | nil != esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_30,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_31,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_32,plain,
    ! [X2] :
      ( ( ~ segmentP(nil,X2)
        | nil = X2
        | ~ ssList(X2) )
      & ( nil != X2
        | segmentP(nil,X2)
        | ~ ssList(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).

fof(c_0_33,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(X2,nil) = X2 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

cnf(c_0_34,negated_conjecture,
    app(esk5_0,app(esk3_0,esk6_0)) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_35,plain,
    ( nil = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X1
    | nil != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_36,negated_conjecture,
    ( nil = esk6_0
    | nil != esk4_0
    | ~ ssList(app(esk5_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_19]),c_0_21])]) ).

cnf(c_0_37,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_38,negated_conjecture,
    ( nil = esk4_0
    | ~ segmentP(esk4_0,esk3_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_22])]),c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    ( segmentP(X1,esk3_0)
    | esk4_0 != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_19]),c_0_21]),c_0_23]),c_0_22])]) ).

cnf(c_0_40,negated_conjecture,
    ssList(esk4_0),
    inference(rw,[status(thm)],[c_0_31,c_0_16]) ).

cnf(c_0_41,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,negated_conjecture,
    ( app(esk5_0,nil) = esk4_0
    | nil != esk6_0
    | nil != esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_21]),c_0_22])]) ).

cnf(c_0_44,negated_conjecture,
    ( nil = esk6_0
    | nil != esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_22]),c_0_23])]) ).

cnf(c_0_45,negated_conjecture,
    nil = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_46,negated_conjecture,
    ( nil = esk3_0
    | nil != esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_22]),c_0_28])]) ).

cnf(c_0_47,negated_conjecture,
    ( neq(esk2_0,nil)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_48,negated_conjecture,
    ( esk4_0 = esk5_0
    | nil != esk6_0
    | nil != esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_23])]) ).

cnf(c_0_49,negated_conjecture,
    esk4_0 = esk6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_45])]) ).

cnf(c_0_50,negated_conjecture,
    esk3_0 = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_45]),c_0_45])]) ).

cnf(c_0_51,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | X1 != X2
    | ~ neq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_52,negated_conjecture,
    ( neq(esk4_0,nil)
    | nil != esk3_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_16]),c_0_13]) ).

cnf(c_0_53,negated_conjecture,
    esk6_0 = esk5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_45]),c_0_45]),c_0_49]),c_0_49]),c_0_50]),c_0_49]),c_0_49])]) ).

cnf(c_0_54,plain,
    ( ~ ssList(X1)
    | ~ neq(X1,X1) ),
    inference(er,[status(thm)],[c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    neq(esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_45]),c_0_45]),c_0_49]),c_0_53]),c_0_49]),c_0_53]),c_0_50]),c_0_49]),c_0_53]),c_0_49]),c_0_53])]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC112+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n005.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 : Sun Jun 12 15:44:09 EDT 2022
% 0.12/0.33  % 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       : 0.023 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             : 57
% 0.22/1.41  # Proof object clause steps            : 39
% 0.22/1.41  # Proof object formula steps           : 18
% 0.22/1.41  # Proof object conjectures             : 31
% 0.22/1.41  # Proof object clause conjectures      : 28
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 20
% 0.22/1.41  # Proof object initial formulas used   : 9
% 0.22/1.41  # Proof object generating inferences   : 10
% 0.22/1.41  # Proof object simplifying inferences  : 64
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 96
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 47
% 0.22/1.41  # Initial clauses                      : 93
% 0.22/1.41  # Removed in clause preprocessing      : 1
% 0.22/1.41  # Initial clauses in saturation        : 92
% 0.22/1.41  # Processed clauses                    : 141
% 0.22/1.41  # ...of these trivial                  : 8
% 0.22/1.41  # ...subsumed                          : 9
% 0.22/1.41  # ...remaining for further processing  : 124
% 0.22/1.41  # Other redundant clauses eliminated   : 6
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 3
% 0.22/1.41  # Backward-rewritten                   : 62
% 0.22/1.41  # Generated clauses                    : 318
% 0.22/1.41  # ...of the previous two non-trivial   : 328
% 0.22/1.41  # Contextual simplify-reflections      : 13
% 0.22/1.41  # Paramodulations                      : 305
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 13
% 0.22/1.41  # Current number of processed clauses  : 56
% 0.22/1.41  #    Positive orientable unit clauses  : 12
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 1
% 0.22/1.41  #    Non-unit-clauses                  : 43
% 0.22/1.41  # Current number of unprocessed clauses: 97
% 0.22/1.41  # ...number of literals in the above   : 538
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 65
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 1222
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 356
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 25
% 0.22/1.41  # Unit Clause-clause subsumption calls : 209
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 5
% 0.22/1.41  # BW rewrite match successes           : 5
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 13183
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.046 s
% 0.22/1.41  # System time              : 0.001 s
% 0.22/1.41  # Total time               : 0.047 s
% 0.22/1.41  # Maximum resident set size: 3524 pages
%------------------------------------------------------------------------------