TSTP Solution File: SWV431^2 by E---3.1.00

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%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV431^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 05:24:45 EDT 2024

% Result   : Theorem 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   70 (  37 unt;  21 typ;   0 def)
%            Number of atoms       :  163 (  28 equ;   0 cnn)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  325 (  40   ~;  43   |;   8   &; 214   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  105 ( 105   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :  111 (  60   ^  51   !;   0   ?; 111   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_28,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(decl_29,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_31,type,
    mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_33,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_37,type,
    mvalid: ( $i > $o ) > $o ).

thf(decl_41,type,
    rel: $i > $i > $o ).

thf(decl_42,type,
    icl_atom: ( $i > $o ) > $i > $o ).

thf(decl_43,type,
    icl_princ: ( $i > $o ) > $i > $o ).

thf(decl_46,type,
    icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_49,type,
    icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_50,type,
    iclval: ( $i > $o ) > $o ).

thf(decl_51,type,
    icl_impl_princ: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_52,type,
    a: $i > $o ).

thf(decl_53,type,
    b: $i > $o ).

thf(decl_54,type,
    s: $i > $o ).

thf(decl_56,type,
    esk2_2: ( $i > $o ) > $i > $i ).

thf(decl_57,type,
    esk3_0: $i ).

thf(decl_58,type,
    esk4_0: $i ).

thf(decl_59,type,
    esk5_0: $i ).

thf(decl_60,type,
    esk6_0: $i ).

thf(decl_61,type,
    esk7_0: $i ).

thf(mimpl,axiom,
    ( mimpl
    = ( ^ [X7: $i > $o,X8: $i > $o] : ( mor @ ( mnot @ X7 ) @ X8 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mimpl) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X2: $i > $o,X3: $i] :
          ~ ( X2 @ X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
          | ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mor) ).

thf(icl_atom,axiom,
    ( icl_atom
    = ( ^ [X11: $i > $o] : ( mbox @ rel @ X11 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_atom) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [X10: $i > $i > $o,X11: $i > $o,X1: $i] :
        ! [X12: $i] :
          ( ( X10 @ X1 @ X12 )
         => ( X11 @ X12 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mbox) ).

thf(icl_impl,axiom,
    ( icl_impl
    = ( ^ [X19: $i > $o,X20: $i > $o] : ( mbox @ rel @ ( mimpl @ X19 @ X20 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_impl) ).

thf(icl_says,axiom,
    ( icl_says
    = ( ^ [X19: $i > $o,X21: $i > $o] : ( mbox @ rel @ ( mor @ X19 @ X21 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_says) ).

thf(icl_s4_valid,axiom,
    ( iclval
    = ( ^ [X22: $i > $o] : ( mvalid @ X22 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_s4_valid) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X11: $i > $o] :
        ! [X15: $i] : ( X11 @ X15 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid) ).

thf(icl_impl_princ,axiom,
    ( icl_impl_princ
    = ( ^ [X19: $i > $o,X20: $i > $o] : ( mbox @ rel @ ( mimpl @ X19 @ X20 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^2.ax',icl_impl_princ) ).

thf(icl_princ,axiom,
    ( icl_princ
    = ( ^ [X11: $i > $o] : X11 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_princ) ).

thf(speaking_for,conjecture,
    iclval @ ( icl_impl @ ( icl_impl_princ @ ( icl_princ @ a ) @ ( icl_princ @ b ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ b ) @ ( icl_atom @ s ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',speaking_for) ).

thf(trans_axiom,axiom,
    ! [X20: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X20 ) @ ( mbox @ rel @ ( mbox @ rel @ X20 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^1.ax',trans_axiom) ).

thf(c_0_13,plain,
    ( mimpl
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimpl]) ).

thf(c_0_14,plain,
    ( mnot
    = ( ^ [Z0: $i > $o,Z1: $i] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot]) ).

thf(c_0_15,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

thf(c_0_16,plain,
    ( icl_atom
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ! [X25: $i] :
          ( ( rel @ Z1 @ X25 )
         => ( Z0 @ X25 ) ) ) ),
    inference(fof_simplification,[status(thm)],[icl_atom]) ).

thf(c_0_17,plain,
    ( mbox
    = ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X12: $i] :
          ( ( Z0 @ Z2 @ X12 )
         => ( Z1 @ X12 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox]) ).

thf(c_0_18,plain,
    ( icl_impl
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X26: $i] :
          ( ( rel @ Z2 @ X26 )
         => ( ~ ( Z0 @ X26 )
            | ( Z1 @ X26 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[icl_impl]) ).

thf(c_0_19,plain,
    ( mimpl
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

thf(c_0_20,plain,
    ( icl_says
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X27: $i] :
          ( ( rel @ Z2 @ X27 )
         => ( ( Z0 @ X27 )
            | ( Z1 @ X27 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[icl_says]) ).

thf(c_0_21,plain,
    ( iclval
    = ( ^ [Z0: $i > $o] :
        ! [X28: $i] : ( Z0 @ X28 ) ) ),
    inference(fof_simplification,[status(thm)],[icl_s4_valid]) ).

thf(c_0_22,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X15: $i] : ( Z0 @ X15 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_23,plain,
    ( icl_impl_princ
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X29: $i] :
          ( ( rel @ Z2 @ X29 )
         => ( ~ ( Z0 @ X29 )
            | ( Z1 @ X29 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[icl_impl_princ]) ).

thf(c_0_24,plain,
    ( icl_atom
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ! [X25: $i] :
          ( ( rel @ Z1 @ X25 )
         => ( Z0 @ X25 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_25,plain,
    ( icl_princ
    = ( ^ [Z0: $i > $o] : Z0 ) ),
    inference(fof_simplification,[status(thm)],[icl_princ]) ).

thf(c_0_26,plain,
    ( icl_impl
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X26: $i] :
          ( ( rel @ Z2 @ X26 )
         => ( ~ ( Z0 @ X26 )
            | ( Z1 @ X26 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18,c_0_19]),c_0_17]) ).

thf(c_0_27,plain,
    ( icl_says
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X27: $i] :
          ( ( rel @ Z2 @ X27 )
         => ( ( Z0 @ X27 )
            | ( Z1 @ X27 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_15]),c_0_17]) ).

thf(c_0_28,plain,
    ( iclval
    = ( ^ [Z0: $i > $o] :
        ! [X28: $i] : ( Z0 @ X28 ) ) ),
    inference(apply_def,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_29,plain,
    ( icl_impl_princ
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X29: $i] :
          ( ( rel @ Z2 @ X29 )
         => ( ~ ( Z0 @ X29 )
            | ( Z1 @ X29 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_19]),c_0_17]) ).

thf(c_0_30,negated_conjecture,
    ~ ! [X43: $i,X42: $i] :
        ( ( rel @ X43 @ X42 )
       => ( ~ ! [X36: $i] :
                ( ( rel @ X42 @ X36 )
               => ( ~ ( a @ X36 )
                  | ( b @ X36 ) ) )
          | ! [X41: $i] :
              ( ( rel @ X42 @ X41 )
             => ( ~ ! [X38: $i] :
                      ( ( rel @ X41 @ X38 )
                     => ( ( a @ X38 )
                        | ! [X37: $i] :
                            ( ( rel @ X38 @ X37 )
                           => ( s @ X37 ) ) ) )
                | ! [X40: $i] :
                    ( ( rel @ X41 @ X40 )
                   => ( ( b @ X40 )
                      | ! [X39: $i] :
                          ( ( rel @ X40 @ X39 )
                         => ( s @ X39 ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[speaking_for]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29])]) ).

thf(c_0_31,plain,
    ! [X20: $i > $o,X35: $i] :
      ( ~ ! [X32: $i] :
            ( ( rel @ X35 @ X32 )
           => ( X20 @ X32 ) )
      | ! [X34: $i] :
          ( ( rel @ X35 @ X34 )
         => ! [X33: $i] :
              ( ( rel @ X34 @ X33 )
             => ( X20 @ X33 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[trans_axiom,c_0_19]),c_0_17]),c_0_22]) ).

thf(c_0_32,negated_conjecture,
    ! [X54: $i,X56: $i,X57: $i] :
      ( ( rel @ esk3_0 @ esk4_0 )
      & ( ~ ( rel @ esk4_0 @ X54 )
        | ~ ( a @ X54 )
        | ( b @ X54 ) )
      & ( rel @ esk4_0 @ esk5_0 )
      & ( ~ ( rel @ esk5_0 @ X56 )
        | ( a @ X56 )
        | ~ ( rel @ X56 @ X57 )
        | ( s @ X57 ) )
      & ( rel @ esk5_0 @ esk6_0 )
      & ~ ( b @ esk6_0 )
      & ( rel @ esk6_0 @ esk7_0 )
      & ~ ( s @ esk7_0 ) ),
    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_30])])])])]) ).

thf(c_0_33,plain,
    ! [X47: $i > $o,X48: $i,X50: $i,X51: $i] :
      ( ( ( rel @ X48 @ ( esk2_2 @ X47 @ X48 ) )
        | ~ ( rel @ X48 @ X50 )
        | ~ ( rel @ X50 @ X51 )
        | ( X47 @ X51 ) )
      & ( ~ ( X47 @ ( esk2_2 @ X47 @ X48 ) )
        | ~ ( rel @ X48 @ X50 )
        | ~ ( rel @ X50 @ X51 )
        | ( X47 @ X51 ) ) ),
    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_31])])])])])]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: $i,X3: $i] :
      ( ( a @ X1 )
      | ( s @ X3 )
      | ~ ( rel @ esk5_0 @ X1 )
      | ~ ( rel @ X1 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_35,negated_conjecture,
    rel @ esk6_0 @ esk7_0,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_36,negated_conjecture,
    rel @ esk5_0 @ esk6_0,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_37,negated_conjecture,
    ~ ( s @ esk7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_38,plain,
    ! [X1: $i,X2: $i > $o,X3: $i,X12: $i] :
      ( ( X2 @ X12 )
      | ~ ( X2 @ ( esk2_2 @ X2 @ X1 ) )
      | ~ ( rel @ X1 @ X3 )
      | ~ ( rel @ X3 @ X12 ) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

thf(c_0_39,plain,
    ! [X1: $i,X2: $i > $o,X3: $i,X12: $i] :
      ( ( rel @ X1 @ ( esk2_2 @ X2 @ X1 ) )
      | ( X2 @ X12 )
      | ~ ( rel @ X1 @ X3 )
      | ~ ( rel @ X3 @ X12 ) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

thf(c_0_40,negated_conjecture,
    ! [X1: $i] :
      ( ( b @ X1 )
      | ~ ( rel @ esk4_0 @ X1 )
      | ~ ( a @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_41,negated_conjecture,
    a @ esk6_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]) ).

thf(c_0_42,negated_conjecture,
    ~ ( b @ esk6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_43,negated_conjecture,
    ! [X2: $i > $o,X1: $i] :
      ( ( X2 @ esk6_0 )
      | ~ ( X2 @ ( esk2_2 @ X2 @ X1 ) )
      | ~ ( rel @ X1 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_36]) ).

thf(c_0_44,negated_conjecture,
    ! [X2: $i > $o,X1: $i] :
      ( ( rel @ X1 @ ( esk2_2 @ X2 @ X1 ) )
      | ( X2 @ esk6_0 )
      | ~ ( rel @ X1 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_39,c_0_36]) ).

thf(c_0_45,negated_conjecture,
    ~ ( rel @ esk4_0 @ esk6_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

thf(c_0_46,negated_conjecture,
    ! [X1: $i] :
      ( ( rel @ X1 @ esk6_0 )
      | ~ ( rel @ X1 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

thf(c_0_47,negated_conjecture,
    rel @ esk4_0 @ esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_48,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem    : SWV431^2 : TPTP v8.2.0. Released v3.6.0.
% 0.02/0.09  % Command    : run_E %s %d THM
% 0.09/0.28  % Computer : n008.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Sun May 19 07:31:53 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.13/0.37  Running higher-order theorem proving
% 0.13/0.37  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39  # Version: 3.1.0-ho
% 0.13/0.39  # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.13/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.13/0.39  # Starting post_as_ho3 with 300s (1) cores
% 0.13/0.39  # Starting post_as_ho11 with 300s (1) cores
% 0.13/0.39  # Starting full_lambda_8 with 300s (1) cores
% 0.13/0.39  # full_lambda_8 with pid 8350 completed with status 0
% 0.13/0.39  # Result found by full_lambda_8
% 0.13/0.39  # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.13/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.13/0.39  # Starting post_as_ho3 with 300s (1) cores
% 0.13/0.39  # Starting post_as_ho11 with 300s (1) cores
% 0.13/0.39  # Starting full_lambda_8 with 300s (1) cores
% 0.13/0.39  # No SInE strategy applied
% 0.13/0.39  # Search class: HGUNF-FFSS22-SHSSMSBN
% 0.13/0.39  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.39  # Starting new_ho_10 with 163s (1) cores
% 0.13/0.39  # new_ho_10 with pid 8352 completed with status 0
% 0.13/0.39  # Result found by new_ho_10
% 0.13/0.39  # Preprocessing class: HSMSSMSSMLSNHSN.
% 0.13/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.39  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.13/0.39  # Starting post_as_ho3 with 300s (1) cores
% 0.13/0.39  # Starting post_as_ho11 with 300s (1) cores
% 0.13/0.39  # Starting full_lambda_8 with 300s (1) cores
% 0.13/0.39  # No SInE strategy applied
% 0.13/0.39  # Search class: HGUNF-FFSS22-SHSSMSBN
% 0.13/0.39  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.39  # Starting new_ho_10 with 163s (1) cores
% 0.13/0.39  # Preprocessing time       : 0.001 s
% 0.13/0.39  # Presaturation interreduction done
% 0.13/0.39  
% 0.13/0.39  # Proof found!
% 0.13/0.39  # SZS status Theorem
% 0.13/0.39  # SZS output start CNFRefutation
% See solution above
% 0.13/0.39  # Parsed axioms                        : 62
% 0.13/0.39  # Removed by relevancy pruning/SinE    : 0
% 0.13/0.39  # Initial clauses                      : 46
% 0.13/0.39  # Removed in clause preprocessing      : 34
% 0.13/0.39  # Initial clauses in saturation        : 12
% 0.13/0.39  # Processed clauses                    : 54
% 0.13/0.39  # ...of these trivial                  : 0
% 0.13/0.39  # ...subsumed                          : 1
% 0.13/0.39  # ...remaining for further processing  : 53
% 0.13/0.39  # Other redundant clauses eliminated   : 0
% 0.13/0.39  # Clauses deleted for lack of memory   : 0
% 0.13/0.39  # Backward-subsumed                    : 0
% 0.13/0.39  # Backward-rewritten                   : 1
% 0.13/0.39  # Generated clauses                    : 111
% 0.13/0.39  # ...of the previous two non-redundant : 90
% 0.13/0.39  # ...aggressively subsumed             : 0
% 0.13/0.39  # Contextual simplify-reflections      : 0
% 0.13/0.39  # Paramodulations                      : 111
% 0.13/0.39  # Factorizations                       : 0
% 0.13/0.39  # NegExts                              : 0
% 0.13/0.39  # Equation resolutions                 : 0
% 0.13/0.39  # Disequality decompositions           : 0
% 0.13/0.39  # Total rewrite steps                  : 14
% 0.13/0.39  # ...of those cached                   : 7
% 0.13/0.39  # Propositional unsat checks           : 0
% 0.13/0.39  #    Propositional check models        : 0
% 0.13/0.39  #    Propositional check unsatisfiable : 0
% 0.13/0.39  #    Propositional clauses             : 0
% 0.13/0.39  #    Propositional clauses after purity: 0
% 0.13/0.39  #    Propositional unsat core size     : 0
% 0.13/0.39  #    Propositional preprocessing time  : 0.000
% 0.13/0.39  #    Propositional encoding time       : 0.000
% 0.13/0.39  #    Propositional solver time         : 0.000
% 0.13/0.39  #    Success case prop preproc time    : 0.000
% 0.13/0.39  #    Success case prop encoding time   : 0.000
% 0.13/0.39  #    Success case prop solver time     : 0.000
% 0.13/0.39  # Current number of processed clauses  : 40
% 0.13/0.39  #    Positive orientable unit clauses  : 6
% 0.13/0.39  #    Positive unorientable unit clauses: 0
% 0.13/0.39  #    Negative unit clauses             : 3
% 0.13/0.39  #    Non-unit-clauses                  : 31
% 0.13/0.39  # Current number of unprocessed clauses: 60
% 0.13/0.39  # ...number of literals in the above   : 235
% 0.13/0.39  # Current number of archived formulas  : 0
% 0.13/0.39  # Current number of archived clauses   : 13
% 0.13/0.39  # Clause-clause subsumption calls (NU) : 126
% 0.13/0.39  # Rec. Clause-clause subsumption calls : 103
% 0.13/0.39  # Non-unit clause-clause subsumptions  : 1
% 0.13/0.39  # Unit Clause-clause subsumption calls : 6
% 0.13/0.39  # Rewrite failures with RHS unbound    : 0
% 0.13/0.39  # BW rewrite match attempts            : 17
% 0.13/0.39  # BW rewrite match successes           : 1
% 0.13/0.39  # Condensation attempts                : 54
% 0.13/0.39  # Condensation successes               : 0
% 0.13/0.39  # Termbank termtop insertions          : 4476
% 0.13/0.39  # Search garbage collected termcells   : 798
% 0.13/0.39  
% 0.13/0.39  # -------------------------------------------------
% 0.13/0.39  # User time                : 0.007 s
% 0.13/0.39  # System time              : 0.001 s
% 0.13/0.39  # Total time               : 0.008 s
% 0.13/0.39  # Maximum resident set size: 1896 pages
% 0.13/0.39  
% 0.13/0.39  # -------------------------------------------------
% 0.13/0.39  # User time                : 0.009 s
% 0.13/0.39  # System time              : 0.001 s
% 0.13/0.39  # Total time               : 0.010 s
% 0.13/0.39  # Maximum resident set size: 1784 pages
% 0.13/0.39  % E---3.1 exiting
% 0.13/0.39  % E exiting
%------------------------------------------------------------------------------