TSTP Solution File: SYO568^7 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO568^7 : TPTP v8.2.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 08:48:05 EDT 2024

% Result   : Theorem 0.21s 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   68 (  35 unt;  18 typ;   0 def)
%            Number of atoms       :  151 (  23 equ;   0 cnn)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  369 (  66   ~;  54   |;  10   &; 233   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   84 (  84   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   97 (  49   ^  48   !;   0   ?;  97   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    mu: $tType ).

thf(decl_24,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(decl_25,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_30,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

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

thf(decl_36,type,
    exists_in_world: mu > $i > $o ).

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

thf(decl_40,type,
    mreflexive: ( $i > $i > $o ) > $o ).

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

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

thf(decl_54,type,
    rel_s4: $i > $i > $o ).

thf(decl_55,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

thf(decl_57,type,
    f: mu > $i > $o ).

thf(decl_58,type,
    a: mu ).

thf(decl_60,type,
    esk2_0: $i ).

thf(decl_61,type,
    esk3_0: $i ).

thf(decl_62,type,
    esk4_0: $i ).

thf(mand,axiom,
    ( mand
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mand) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X4: $i > $o,X3: $i] :
          ~ ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
          | ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mor) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mimplies) ).

thf(mequiv,axiom,
    ( mequiv
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mand @ ( mimplies @ X4 @ X5 ) @ ( mimplies @ X5 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mequiv) ).

thf(mforall_ind,axiom,
    ( mforall_ind
    = ( ^ [X11: mu > $i > $o,X3: $i] :
        ! [X12: mu] :
          ( ( exists_in_world @ X12 @ X3 )
         => ( X11 @ X12 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mforall_ind) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X4: $i > $o] :
        ! [X3: $i] : ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mvalid) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [X4: $i > $o,X3: $i] :
        ! [X7: $i] :
          ( ~ ( rel_s4 @ X3 @ X7 )
          | ( X4 @ X7 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax',mbox_s4) ).

thf(mreflexive,axiom,
    ( mreflexive
    = ( ^ [X6: $i > $i > $o] :
        ! [X16: $i] : ( X6 @ X16 @ X16 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mreflexive) ).

thf(con,conjecture,
    ( mvalid
    @ ( mimplies
      @ ( mforall_ind
        @ ^ [X20: mu] : ( mor @ ( mbox_s4 @ ( f @ X20 ) ) @ ( mbox_s4 @ ( mnot @ ( f @ X20 ) ) ) ) )
      @ ( mbox_s4 @ ( mequiv @ ( mbox_s4 @ ( f @ a ) ) @ ( f @ a ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(a1,axiom,
    mreflexive @ rel_s4,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax',a1) ).

thf(existence_of_a_ax,axiom,
    ! [X7: $i] : ( exists_in_world @ a @ X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_a_ax) ).

thf(mtransitive,axiom,
    ( mtransitive
    = ( ^ [X6: $i > $i > $o] :
        ! [X16: $i,X17: $i,X18: $i] :
          ( ( ( X6 @ X16 @ X17 )
            & ( X6 @ X17 @ X18 ) )
         => ( X6 @ X16 @ X18 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mtransitive) ).

thf(a2,axiom,
    mtransitive @ rel_s4,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax',a2) ).

thf(c_0_14,plain,
    ( mand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( Z0 @ Z2 )
            | ~ ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mand]) ).

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

thf(c_0_16,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

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

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

thf(c_0_19,plain,
    ( mand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( Z0 @ Z2 )
            | ~ ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

thf(c_0_20,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17,c_0_15]),c_0_16]) ).

thf(c_0_21,plain,
    ( mequiv
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( ~ ( Z0 @ Z2 )
                | ( Z1 @ Z2 ) )
            | ~ ( ~ ( Z1 @ Z2 )
                | ( Z0 @ Z2 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

thf(c_0_22,plain,
    ( mforall_ind
    = ( ^ [Z0: mu > $i > $o,Z1: $i] :
        ! [X12: mu] :
          ( ( exists_in_world @ X12 @ Z1 )
         => ( Z0 @ X12 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_ind]) ).

thf(c_0_23,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_24,plain,
    ( mbox_s4
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ! [X7: $i] :
          ( ~ ( rel_s4 @ Z1 @ X7 )
          | ( Z0 @ X7 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_s4]) ).

thf(c_0_25,plain,
    ( mreflexive
    = ( ^ [Z0: $i > $i > $o] :
        ! [X16: $i] : ( Z0 @ X16 @ X16 ) ) ),
    inference(fof_simplification,[status(thm)],[mreflexive]) ).

thf(c_0_26,negated_conjecture,
    ~ ! [X40: $i] :
        ( ~ ! [X37: mu] :
              ( ( exists_in_world @ X37 @ X40 )
             => ( ! [X35: $i] :
                    ( ~ ( rel_s4 @ X40 @ X35 )
                    | ( f @ X37 @ X35 ) )
                | ! [X36: $i] :
                    ( ~ ( rel_s4 @ X40 @ X36 )
                    | ~ ( f @ X37 @ X36 ) ) ) )
        | ! [X39: $i] :
            ( ~ ( rel_s4 @ X40 @ X39 )
            | ~ ( ~ ( ~ ! [X38: $i] :
                          ( ~ ( rel_s4 @ X39 @ X38 )
                          | ( f @ a @ X38 ) )
                    | ( f @ a @ X39 ) )
                | ~ ( ~ ( f @ a @ X39 )
                    | ! [X38: $i] :
                        ( ~ ( rel_s4 @ X39 @ X38 )
                        | ( f @ a @ X38 ) ) ) ) ) ),
    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(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]),c_0_15]),c_0_16]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]) ).

thf(c_0_27,plain,
    ! [X31: $i] : ( rel_s4 @ X31 @ X31 ),
    inference(apply_def,[status(thm)],[a1,c_0_25]) ).

thf(c_0_28,negated_conjecture,
    ! [X52: mu,X53: $i,X54: $i,X56: $i] :
      ( ( ~ ( exists_in_world @ X52 @ esk2_0 )
        | ~ ( rel_s4 @ esk2_0 @ X53 )
        | ( f @ X52 @ X53 )
        | ~ ( rel_s4 @ esk2_0 @ X54 )
        | ~ ( f @ X52 @ X54 ) )
      & ( rel_s4 @ esk2_0 @ esk3_0 )
      & ( ( f @ a @ esk3_0 )
        | ~ ( rel_s4 @ esk3_0 @ X56 )
        | ( f @ a @ X56 ) )
      & ( ( rel_s4 @ esk3_0 @ esk4_0 )
        | ~ ( rel_s4 @ esk3_0 @ X56 )
        | ( f @ a @ X56 ) )
      & ( ~ ( f @ a @ esk4_0 )
        | ~ ( rel_s4 @ esk3_0 @ X56 )
        | ( f @ a @ X56 ) )
      & ( ( f @ a @ esk3_0 )
        | ~ ( f @ a @ esk3_0 ) )
      & ( ( rel_s4 @ esk3_0 @ esk4_0 )
        | ~ ( f @ a @ esk3_0 ) )
      & ( ~ ( f @ a @ esk4_0 )
        | ~ ( f @ a @ esk3_0 ) ) ),
    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_26])])])])])]) ).

thf(c_0_29,plain,
    ! [X43: $i] : ( rel_s4 @ X43 @ X43 ),
    inference(variable_rename,[status(thm)],[c_0_27]) ).

thf(c_0_30,plain,
    ! [X50: $i] : ( exists_in_world @ a @ X50 ),
    inference(variable_rename,[status(thm)],[existence_of_a_ax]) ).

thf(c_0_31,plain,
    ( mtransitive
    = ( ^ [Z0: $i > $i > $o] :
        ! [X16: $i,X17: $i,X18: $i] :
          ( ( ( Z0 @ X16 @ X17 )
            & ( Z0 @ X17 @ X18 ) )
         => ( Z0 @ X16 @ X18 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mtransitive]) ).

thf(c_0_32,negated_conjecture,
    ! [X3: $i] :
      ( ( f @ a @ esk3_0 )
      | ( f @ a @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_33,plain,
    ! [X3: $i] : ( rel_s4 @ X3 @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_34,negated_conjecture,
    ! [X3: $i,X10: mu,X7: $i] :
      ( ( f @ X10 @ X3 )
      | ~ ( exists_in_world @ X10 @ esk2_0 )
      | ~ ( rel_s4 @ esk2_0 @ X3 )
      | ~ ( rel_s4 @ esk2_0 @ X7 )
      | ~ ( f @ X10 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_35,plain,
    ! [X3: $i] : ( exists_in_world @ a @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_36,plain,
    ! [X32: $i,X33: $i,X34: $i] :
      ( ( ( rel_s4 @ X32 @ X33 )
        & ( rel_s4 @ X33 @ X34 ) )
     => ( rel_s4 @ X32 @ X34 ) ),
    inference(apply_def,[status(thm)],[a2,c_0_31]) ).

thf(c_0_37,negated_conjecture,
    ( ~ ( f @ a @ esk4_0 )
    | ~ ( f @ a @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_38,negated_conjecture,
    f @ a @ esk3_0,
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

thf(c_0_39,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( f @ a @ X3 )
      | ~ ( rel_s4 @ esk2_0 @ X7 )
      | ~ ( rel_s4 @ esk2_0 @ X3 )
      | ~ ( f @ a @ X7 ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

thf(c_0_40,negated_conjecture,
    rel_s4 @ esk2_0 @ esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_41,plain,
    ! [X44: $i,X45: $i,X46: $i] :
      ( ~ ( rel_s4 @ X44 @ X45 )
      | ~ ( rel_s4 @ X45 @ X46 )
      | ( rel_s4 @ X44 @ X46 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).

thf(c_0_42,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( f @ a @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_43,negated_conjecture,
    ~ ( f @ a @ esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).

thf(c_0_44,negated_conjecture,
    ! [X3: $i] :
      ( ( f @ a @ X3 )
      | ~ ( rel_s4 @ esk2_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_40])]) ).

thf(c_0_45,plain,
    ! [X7: $i,X3: $i,X16: $i] :
      ( ( rel_s4 @ X3 @ X16 )
      | ~ ( rel_s4 @ X3 @ X7 )
      | ~ ( rel_s4 @ X7 @ X16 ) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

thf(c_0_46,negated_conjecture,
    rel_s4 @ esk3_0 @ esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_38])]) ).

thf(c_0_47,negated_conjecture,
    ~ ( rel_s4 @ esk2_0 @ esk4_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

thf(c_0_48,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ X3 @ esk4_0 )
      | ~ ( rel_s4 @ X3 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

thf(c_0_49,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYO568^7 : TPTP v8.2.0. Released v5.5.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 10:38:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running higher-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.21/0.51  # Version: 3.1.0-ho
% 0.21/0.51  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.51  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.21/0.51  # Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.51  # Starting post_as_ho1 with 300s (1) cores
% 0.21/0.51  # almost_fo_3_lam with pid 22378 completed with status 0
% 0.21/0.51  # Result found by almost_fo_3_lam
% 0.21/0.51  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.51  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.21/0.51  # Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.51  # No SInE strategy applied
% 0.21/0.51  # Search class: HGHNS-FFSF11-SHSSMFNN
% 0.21/0.51  # partial match(1): HHHNS-FFSF11-SHSSMFNN
% 0.21/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting new_ho_10 with 163s (1) cores
% 0.21/0.51  # new_ho_10 with pid 22384 completed with status 0
% 0.21/0.51  # Result found by new_ho_10
% 0.21/0.51  # Preprocessing class: HSMSSMSSMLMNHSN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.51  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.21/0.51  # Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.51  # No SInE strategy applied
% 0.21/0.51  # Search class: HGHNS-FFSF11-SHSSMFNN
% 0.21/0.51  # partial match(1): HHHNS-FFSF11-SHSSMFNN
% 0.21/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting new_ho_10 with 163s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.002 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Theorem
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 76
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 51
% 0.21/0.51  # Removed in clause preprocessing      : 39
% 0.21/0.51  # Initial clauses in saturation        : 12
% 0.21/0.51  # Processed clauses                    : 36
% 0.21/0.51  # ...of these trivial                  : 0
% 0.21/0.51  # ...subsumed                          : 0
% 0.21/0.51  # ...remaining for further processing  : 36
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 2
% 0.21/0.51  # Backward-rewritten                   : 4
% 0.21/0.51  # Generated clauses                    : 23
% 0.21/0.51  # ...of the previous two non-redundant : 17
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 0
% 0.21/0.51  # Paramodulations                      : 23
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 8
% 0.21/0.51  # ...of those cached                   : 4
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 18
% 0.21/0.51  #    Positive orientable unit clauses  : 7
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 2
% 0.21/0.51  #    Non-unit-clauses                  : 9
% 0.21/0.51  # Current number of unprocessed clauses: 4
% 0.21/0.51  # ...number of literals in the above   : 11
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 18
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 16
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 14
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 1
% 0.21/0.51  # Unit Clause-clause subsumption calls : 7
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 8
% 0.21/0.51  # BW rewrite match successes           : 2
% 0.21/0.51  # Condensation attempts                : 36
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 3493
% 0.21/0.51  # Search garbage collected termcells   : 729
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.009 s
% 0.21/0.51  # System time              : 0.004 s
% 0.21/0.51  # Total time               : 0.013 s
% 0.21/0.51  # Maximum resident set size: 1920 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.014 s
% 0.21/0.51  # System time              : 0.007 s
% 0.21/0.51  # Total time               : 0.020 s
% 0.21/0.51  # Maximum resident set size: 1804 pages
% 0.21/0.51  % E---3.1 exiting
% 0.21/0.51  % E exiting
%------------------------------------------------------------------------------