TSTP Solution File: PHI007^5 by E---3.1.00

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%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PHI007^5 : TPTP v8.2.0. Released v6.4.0.
% 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 02:18:07 EDT 2024

% Result   : ContradictoryAxioms 0.16s 0.49s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   64 (  11 unt;  20 typ;   0 def)
%            Number of atoms       :  127 (   7 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  475 (  62   ~;  45   |;  12   &; 336   @)
%                                         (   3 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :  128 ( 128   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  18 usr;   6 con; 0-5 aty)
%            Number of variables   :  140 (  38   ^ 100   !;   2   ?; 140   :)

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

thf(decl_sort2,type,
    qML_i: $tType ).

thf(decl_22,type,
    inconsistency_G: qML_mu > qML_i > $o ).

thf(decl_23,type,
    incons1905966852QML_mu: qML_mu > qML_i > $o ).

thf(decl_24,type,
    inconsistency_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).

thf(decl_25,type,
    incons1389517216QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).

thf(decl_26,type,
    qML_r: qML_i > qML_i > $o ).

thf(decl_27,type,
    esk1_3: qML_i > ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_i ).

thf(decl_28,type,
    esk2_3: qML_i > ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_mu ).

thf(decl_29,type,
    epred1_2: qML_mu > qML_i > qML_mu > qML_i > $o ).

thf(decl_30,type,
    esk3_4: qML_mu > qML_i > ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).

thf(decl_31,type,
    epred2_2: qML_mu > qML_i > qML_mu > qML_i > $o ).

thf(decl_32,type,
    esk4_2: qML_mu > qML_i > qML_i ).

thf(decl_33,type,
    epred3_3: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > qML_mu > qML_i > $o ).

thf(decl_34,type,
    esk5_3: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > qML_i ).

thf(decl_35,type,
    esk6_3: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > qML_mu ).

thf(decl_75,type,
    esk46_0: qML_mu ).

thf(decl_76,type,
    esk47_0: qML_i ).

thf(decl_79,type,
    esk50_0: qML_mu ).

thf(decl_83,type,
    esk54_0: qML_i ).

thf(fact_0_A1a,axiom,
    ! [X1: qML_i,X2: qML_mu > qML_i > $o] :
      ( ( inconsistency_P
        @ ^ [X3: qML_mu,X4: qML_i] :
            ~ ( X2 @ X3 @ X4 )
        @ X1 )
     => ~ ( inconsistency_P @ X2 @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_A1a) ).

thf(fact_3_A3,axiom,
    ! [X8: qML_i] : ( inconsistency_P @ inconsistency_G @ X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_A3) ).

thf(fact_2_A2,axiom,
    ! [X1: qML_i,X2: qML_mu > qML_i > $o,X5: qML_mu > qML_i > $o] :
      ( ( ( inconsistency_P @ X2 @ X1 )
        & ! [X6: qML_i] :
            ( ( qML_r @ X1 @ X6 )
           => ! [X7: qML_mu] :
                ( ( X2 @ X7 @ X6 )
               => ( X5 @ X7 @ X6 ) ) ) )
     => ( inconsistency_P @ X5 @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_A2) ).

thf(fact_6_G__def,axiom,
    ( inconsistency_G
    = ( ^ [X10: qML_mu,X11: qML_i] :
        ! [X12: qML_mu > qML_i > $o] :
          ( ( inconsistency_P @ X12 @ X11 )
         => ( X12 @ X10 @ X11 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_G__def) ).

thf(fact_5_A5,axiom,
    ! [X8: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_A5) ).

thf(fact_7_NE__def,axiom,
    ( incons1905966852QML_mu
    = ( ^ [X10: qML_mu,X11: qML_i] :
        ! [X13: qML_mu > qML_i > $o] :
          ( ( incons1389517216QML_mu @ X13 @ X10 @ X11 )
         => ! [X14: qML_i] :
              ( ( qML_r @ X11 @ X14 )
             => ? [X15: qML_mu] : ( X13 @ X15 @ X14 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_NE__def) ).

thf(fact_8_ess__def,axiom,
    ( incons1389517216QML_mu
    = ( ^ [X16: qML_mu > qML_i > $o,X10: qML_mu,X11: qML_i] :
        ! [X17: qML_mu > qML_i > $o] :
          ( ( X17 @ X10 @ X11 )
         => ! [X14: qML_i] :
              ( ( qML_r @ X11 @ X14 )
             => ! [X18: qML_mu] :
                  ( ( X16 @ X18 @ X14 )
                 => ( X17 @ X18 @ X14 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_ess__def) ).

thf(c_0_7,plain,
    ! [X1: qML_i,X2: qML_mu > qML_i > $o] :
      ( ( inconsistency_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X2 @ Z0 @ Z1 )
        @ X1 )
     => ~ ( inconsistency_P @ X2 @ X1 ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_0_A1a])]) ).

thf(c_0_8,plain,
    ! [X40: qML_i,X41: qML_mu > qML_i > $o] :
      ( ~ ( inconsistency_P
          @ ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X41 @ Z0 @ Z1 )
          @ X40 )
      | ~ ( inconsistency_P @ X41 @ X40 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

thf(c_0_9,plain,
    ! [X49: qML_i] : ( inconsistency_P @ inconsistency_G @ X49 ),
    inference(variable_rename,[status(thm)],[fact_3_A3]) ).

thf(c_0_10,plain,
    ! [X44: qML_i,X45: qML_mu > qML_i > $o,X46: qML_mu > qML_i > $o] :
      ( ( ( qML_r @ X44 @ ( esk1_3 @ X44 @ X45 @ X46 ) )
        | ~ ( inconsistency_P @ X45 @ X44 )
        | ( inconsistency_P @ X46 @ X44 ) )
      & ( ( X45 @ ( esk2_3 @ X44 @ X45 @ X46 ) @ ( esk1_3 @ X44 @ X45 @ X46 ) )
        | ~ ( inconsistency_P @ X45 @ X44 )
        | ( inconsistency_P @ X46 @ X44 ) )
      & ( ~ ( X46 @ ( esk2_3 @ X44 @ X45 @ X46 ) @ ( esk1_3 @ X44 @ X45 @ X46 ) )
        | ~ ( inconsistency_P @ X45 @ X44 )
        | ( inconsistency_P @ X46 @ X44 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_A2])])])])]) ).

thf(c_0_11,plain,
    ! [X33: qML_mu,X34: qML_i] :
      ( ( inconsistency_G @ X33 @ X34 )
    <=> ! [X12: qML_mu > qML_i > $o] :
          ( ( inconsistency_P @ X12 @ X34 )
         => ( X12 @ X33 @ X34 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_6_G__def])]) ).

thf(c_0_12,plain,
    ! [X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ~ ( inconsistency_P
          @ ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X2 @ Z0 @ Z1 )
          @ X1 )
      | ~ ( inconsistency_P @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_13,plain,
    ! [X1: qML_i] : ( inconsistency_P @ inconsistency_G @ X1 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_14,plain,
    ! [X5: qML_mu > qML_i > $o,X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ( inconsistency_P @ X2 @ X1 )
      | ~ ( X2 @ ( esk2_3 @ X1 @ X5 @ X2 ) @ ( esk1_3 @ X1 @ X5 @ X2 ) )
      | ~ ( inconsistency_P @ X5 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_15,plain,
    ! [X54: qML_mu,X55: qML_i,X56: qML_mu > qML_i > $o,X57: qML_mu,X58: qML_i] :
      ( ( ~ ( inconsistency_G @ X54 @ X55 )
        | ~ ( inconsistency_P @ X56 @ X55 )
        | ( X56 @ X54 @ X55 ) )
      & ( ( inconsistency_P @ ( epred1_2 @ X57 @ X58 ) @ X58 )
        | ( inconsistency_G @ X57 @ X58 ) )
      & ( ~ ( epred1_2 @ X57 @ X58 @ X57 @ X58 )
        | ( inconsistency_G @ X57 @ X58 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])])]) ).

thf(c_0_16,plain,
    ! [X1: qML_i] :
      ~ ( inconsistency_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( inconsistency_G @ Z0 @ Z1 )
        @ X1 ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_17,plain,
    ! [X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ( inconsistency_P
        @ ^ [Z0: qML_mu,Z1: qML_i] : $true
        @ X1 )
      | ~ ( inconsistency_P @ X2 @ X1 ) ),
    inference(primitive_enumeration,[status(thm)],[c_0_14]) ).

thf(c_0_18,plain,
    ! [X3: qML_mu,X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ( X2 @ X3 @ X1 )
      | ~ ( inconsistency_G @ X3 @ X1 )
      | ~ ( inconsistency_P @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

thf(c_0_19,plain,
    ! [X53: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X53 ),
    inference(variable_rename,[status(thm)],[fact_5_A5]) ).

thf(c_0_20,plain,
    ! [X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( inconsistency_G @ Z0 @ Z1 ) )
       != ( ^ [Z0: qML_mu,Z1: qML_i] : $true ) )
      | ~ ( inconsistency_P @ X2 @ X1 ) ),
    inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_16,c_0_17])]) ).

thf(c_0_21,plain,
    ! [X3: qML_mu,X1: qML_i] :
      ( ~ ( inconsistency_P
          @ ^ [Z0: qML_mu,Z1: qML_i] : ~ $true
          @ X1 )
      | ~ ( inconsistency_G @ X3 @ X1 ) ),
    inference(primitive_enumeration,[status(thm)],[c_0_18]) ).

thf(c_0_22,plain,
    ! [X1: qML_i] : ( inconsistency_P @ incons1905966852QML_mu @ X1 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

thf(c_0_23,plain,
    ! [X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ( inconsistency_G @ esk46_0 @ esk47_0 )
      | ~ ( inconsistency_P @ X2 @ X1 ) ),
    inference(cn,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_20])]) ).

thf(c_0_24,plain,
    ! [X35: qML_mu,X36: qML_i] :
      ( ( incons1905966852QML_mu @ X35 @ X36 )
    <=> ! [X13: qML_mu > qML_i > $o] :
          ( ( incons1389517216QML_mu @ X13 @ X35 @ X36 )
         => ! [X14: qML_i] :
              ( ( qML_r @ X36 @ X14 )
             => ? [X15: qML_mu] : ( X13 @ X15 @ X14 ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_7_NE__def])]) ).

thf(c_0_25,plain,
    ! [X3: qML_mu,X1: qML_i] :
      ( ( ( ^ [Z0: qML_mu,Z1: qML_i] : ~ $true )
       != incons1905966852QML_mu )
      | ~ ( inconsistency_G @ X3 @ X1 ) ),
    inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_21,c_0_22])]) ).

thf(c_0_26,plain,
    inconsistency_G @ esk46_0 @ esk47_0,
    inference(spm,[status(thm)],[c_0_23,c_0_22]) ).

thf(c_0_27,plain,
    ! [X60: qML_mu,X61: qML_i,X62: qML_mu > qML_i > $o,X63: qML_i,X65: qML_mu,X66: qML_i,X69: qML_mu] :
      ( ( ~ ( incons1905966852QML_mu @ X60 @ X61 )
        | ~ ( incons1389517216QML_mu @ X62 @ X60 @ X61 )
        | ~ ( qML_r @ X61 @ X63 )
        | ( X62 @ ( esk3_4 @ X60 @ X61 @ X62 @ X63 ) @ X63 ) )
      & ( ( incons1389517216QML_mu @ ( epred2_2 @ X65 @ X66 ) @ X65 @ X66 )
        | ( incons1905966852QML_mu @ X65 @ X66 ) )
      & ( ( qML_r @ X66 @ ( esk4_2 @ X65 @ X66 ) )
        | ( incons1905966852QML_mu @ X65 @ X66 ) )
      & ( ~ ( epred2_2 @ X65 @ X66 @ X69 @ ( esk4_2 @ X65 @ X66 ) )
        | ( incons1905966852QML_mu @ X65 @ X66 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])])]) ).

thf(c_0_28,plain,
    ( ( ^ [Z0: qML_mu,Z1: qML_i] : ~ $true )
   != incons1905966852QML_mu ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

thf(c_0_29,plain,
    ! [X37: qML_mu > qML_i > $o,X38: qML_mu,X39: qML_i] :
      ( ( incons1389517216QML_mu @ X37 @ X38 @ X39 )
    <=> ! [X17: qML_mu > qML_i > $o] :
          ( ( X17 @ X38 @ X39 )
         => ! [X14: qML_i] :
              ( ( qML_r @ X39 @ X14 )
             => ! [X18: qML_mu] :
                  ( ( X37 @ X18 @ X14 )
                 => ( X17 @ X18 @ X14 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_8_ess__def])]) ).

thf(c_0_30,plain,
    ! [X1: qML_i,X3: qML_mu,X2: qML_mu > qML_i > $o,X4: qML_i] :
      ( ( X2 @ ( esk3_4 @ X3 @ X1 @ X2 @ X4 ) @ X4 )
      | ~ ( incons1905966852QML_mu @ X3 @ X1 )
      | ~ ( incons1389517216QML_mu @ X2 @ X3 @ X1 )
      | ~ ( qML_r @ X1 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

thf(c_0_31,plain,
    ( ( ^ [Z0: qML_i] : ~ $true )
   != ( incons1905966852QML_mu @ esk50_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_28]) ).

thf(c_0_32,plain,
    ! [X70: qML_mu > qML_i > $o,X71: qML_mu,X72: qML_i,X73: qML_mu > qML_i > $o,X74: qML_i,X75: qML_mu,X76: qML_mu > qML_i > $o,X77: qML_mu,X78: qML_i] :
      ( ( ~ ( incons1389517216QML_mu @ X70 @ X71 @ X72 )
        | ~ ( X73 @ X71 @ X72 )
        | ~ ( qML_r @ X72 @ X74 )
        | ~ ( X70 @ X75 @ X74 )
        | ( X73 @ X75 @ X74 ) )
      & ( ( epred3_3 @ X76 @ X77 @ X78 @ X77 @ X78 )
        | ( incons1389517216QML_mu @ X76 @ X77 @ X78 ) )
      & ( ( qML_r @ X78 @ ( esk5_3 @ X76 @ X77 @ X78 ) )
        | ( incons1389517216QML_mu @ X76 @ X77 @ X78 ) )
      & ( ( X76 @ ( esk6_3 @ X76 @ X77 @ X78 ) @ ( esk5_3 @ X76 @ X77 @ X78 ) )
        | ( incons1389517216QML_mu @ X76 @ X77 @ X78 ) )
      & ( ~ ( epred3_3 @ X76 @ X77 @ X78 @ ( esk6_3 @ X76 @ X77 @ X78 ) @ ( esk5_3 @ X76 @ X77 @ X78 ) )
        | ( incons1389517216QML_mu @ X76 @ X77 @ X78 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])])]) ).

thf(c_0_33,plain,
    ! [X1: qML_i,X3: qML_mu,X4: qML_i] :
      ( ~ ( incons1389517216QML_mu
          @ ^ [Z0: qML_mu,Z1: qML_i] : ~ $true
          @ X3
          @ X1 )
      | ~ ( incons1905966852QML_mu @ X3 @ X1 )
      | ~ ( qML_r @ X1 @ X4 ) ),
    inference(primitive_enumeration,[status(thm)],[c_0_30]) ).

thf(c_0_34,plain,
    incons1905966852QML_mu @ esk50_0 @ esk54_0,
    inference(neg_ext,[status(thm)],[c_0_31]) ).

thf(c_0_35,plain,
    ! [X3: qML_mu,X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ( X2 @ ( esk6_3 @ X2 @ X3 @ X1 ) @ ( esk5_3 @ X2 @ X3 @ X1 ) )
      | ( incons1389517216QML_mu @ X2 @ X3 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_36,plain,
    ! [X1: qML_i] :
      ( ~ ( incons1389517216QML_mu
          @ ^ [Z0: qML_mu,Z1: qML_i] : ~ $true
          @ esk50_0
          @ esk54_0 )
      | ~ ( qML_r @ esk54_0 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

thf(c_0_37,plain,
    ! [X3: qML_mu,X1: qML_i] :
      ( incons1389517216QML_mu
      @ ^ [Z0: qML_mu,Z1: qML_i] : ~ $true
      @ X3
      @ X1 ),
    inference(primitive_enumeration,[status(thm)],[c_0_35]) ).

thf(c_0_38,plain,
    ! [X5: qML_mu > qML_i > $o,X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ( qML_r @ X1 @ ( esk1_3 @ X1 @ X2 @ X5 ) )
      | ( inconsistency_P @ X5 @ X1 )
      | ~ ( inconsistency_P @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_39,plain,
    ! [X1: qML_i] :
      ~ ( qML_r @ esk54_0 @ X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).

thf(c_0_40,plain,
    ! [X2: qML_mu > qML_i > $o,X1: qML_i] :
      ( ( qML_r @ X1 @ ( esk1_3 @ X1 @ incons1905966852QML_mu @ X2 ) )
      | ( inconsistency_P @ X2 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_22]) ).

thf(c_0_41,plain,
    ! [X1: qML_i] :
      ~ ( inconsistency_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( incons1905966852QML_mu @ Z0 @ Z1 )
        @ X1 ),
    inference(spm,[status(thm)],[c_0_12,c_0_22]) ).

thf(c_0_42,plain,
    ! [X2: qML_mu > qML_i > $o] : ( inconsistency_P @ X2 @ esk54_0 ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

thf(c_0_43,plain,
    $false,
    inference(spm,[status(thm)],[c_0_41,c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : PHI007^5 : TPTP v8.2.0. Released v6.4.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sat May 18 14:42:22 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.45  Running higher-order theorem proving
% 0.16/0.45  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
% 0.16/0.49  # Version: 3.1.0-ho
% 0.16/0.49  # Preprocessing class: HSMSSMSSSSMNHFA.
% 0.16/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49  # Starting ehoh_best_nonlift with 1500s (5) cores
% 0.16/0.49  # Starting lpo6_lambda_fix with 300s (1) cores
% 0.16/0.49  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.16/0.49  # Starting ehoh_best3_fo with 300s (1) cores
% 0.16/0.49  # ehoh_best_nonlift with pid 3908 completed with status 0
% 0.16/0.49  # Result found by ehoh_best_nonlift
% 0.16/0.49  # Preprocessing class: HSMSSMSSSSMNHFA.
% 0.16/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49  # Starting ehoh_best_nonlift with 1500s (5) cores
% 0.16/0.49  # No SInE strategy applied
% 0.16/0.49  # Search class: HGHNS-FFMF33-MHFFFSBN
% 0.16/0.49  # partial match(3): HGHNS-FFMF32-SHSFFSBN
% 0.16/0.49  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.49  # Starting ho_unfolding_3 with 901s (1) cores
% 0.16/0.49  # Starting ehoh_best_nonlift_rwall with 151s (1) cores
% 0.16/0.49  # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.16/0.49  # Starting ehoh_best8_lambda with 151s (1) cores
% 0.16/0.49  # Starting ehoh_best_nonlift with 146s (1) cores
% 0.16/0.49  # ehoh_best8_lambda with pid 3916 completed with status 0
% 0.16/0.49  # Result found by ehoh_best8_lambda
% 0.16/0.49  # Preprocessing class: HSMSSMSSSSMNHFA.
% 0.16/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.49  # Starting ehoh_best_nonlift with 1500s (5) cores
% 0.16/0.49  # No SInE strategy applied
% 0.16/0.49  # Search class: HGHNS-FFMF33-MHFFFSBN
% 0.16/0.49  # partial match(3): HGHNS-FFMF32-SHSFFSBN
% 0.16/0.49  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.49  # Starting ho_unfolding_3 with 901s (1) cores
% 0.16/0.49  # Starting ehoh_best_nonlift_rwall with 151s (1) cores
% 0.16/0.49  # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.16/0.49  # Starting ehoh_best8_lambda with 151s (1) cores
% 0.16/0.49  # Preprocessing time       : 0.001 s
% 0.16/0.49  # Presaturation interreduction done
% 0.16/0.49  
% 0.16/0.49  # Proof found!
% 0.16/0.49  # SZS status ContradictoryAxioms
% 0.16/0.49  # SZS output start CNFRefutation
% See solution above
% 0.16/0.49  # Parsed axioms                        : 17
% 0.16/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.49  # Initial clauses                      : 28
% 0.16/0.49  # Removed in clause preprocessing      : 8
% 0.16/0.49  # Initial clauses in saturation        : 20
% 0.16/0.49  # Processed clauses                    : 265
% 0.16/0.49  # ...of these trivial                  : 0
% 0.16/0.49  # ...subsumed                          : 42
% 0.16/0.49  # ...remaining for further processing  : 223
% 0.16/0.49  # Other redundant clauses eliminated   : 48
% 0.16/0.49  # Clauses deleted for lack of memory   : 0
% 0.16/0.49  # Backward-subsumed                    : 5
% 0.16/0.49  # Backward-rewritten                   : 18
% 0.16/0.49  # Generated clauses                    : 738
% 0.16/0.49  # ...of the previous two non-redundant : 579
% 0.16/0.49  # ...aggressively subsumed             : 0
% 0.16/0.49  # Contextual simplify-reflections      : 0
% 0.16/0.49  # Paramodulations                      : 482
% 0.16/0.49  # Factorizations                       : 0
% 0.16/0.49  # NegExts                              : 87
% 0.16/0.49  # Equation resolutions                 : 51
% 0.16/0.49  # Disequality decompositions           : 0
% 0.16/0.49  # Total rewrite steps                  : 84
% 0.16/0.49  # ...of those cached                   : 28
% 0.16/0.49  # Propositional unsat checks           : 0
% 0.16/0.49  #    Propositional check models        : 0
% 0.16/0.49  #    Propositional check unsatisfiable : 0
% 0.16/0.49  #    Propositional clauses             : 0
% 0.16/0.49  #    Propositional clauses after purity: 0
% 0.16/0.49  #    Propositional unsat core size     : 0
% 0.16/0.49  #    Propositional preprocessing time  : 0.000
% 0.16/0.49  #    Propositional encoding time       : 0.000
% 0.16/0.49  #    Propositional solver time         : 0.000
% 0.16/0.49  #    Success case prop preproc time    : 0.000
% 0.16/0.49  #    Success case prop encoding time   : 0.000
% 0.16/0.49  #    Success case prop solver time     : 0.000
% 0.16/0.49  # Current number of processed clauses  : 168
% 0.16/0.49  #    Positive orientable unit clauses  : 32
% 0.16/0.49  #    Positive unorientable unit clauses: 0
% 0.16/0.49  #    Negative unit clauses             : 20
% 0.16/0.49  #    Non-unit-clauses                  : 116
% 0.16/0.49  # Current number of unprocessed clauses: 311
% 0.16/0.49  # ...number of literals in the above   : 808
% 0.16/0.49  # Current number of archived formulas  : 0
% 0.16/0.49  # Current number of archived clauses   : 55
% 0.16/0.49  # Clause-clause subsumption calls (NU) : 1621
% 0.16/0.49  # Rec. Clause-clause subsumption calls : 1192
% 0.16/0.49  # Non-unit clause-clause subsumptions  : 23
% 0.16/0.49  # Unit Clause-clause subsumption calls : 300
% 0.16/0.49  # Rewrite failures with RHS unbound    : 0
% 0.16/0.49  # BW rewrite match attempts            : 19
% 0.16/0.49  # BW rewrite match successes           : 18
% 0.16/0.49  # Condensation attempts                : 0
% 0.16/0.49  # Condensation successes               : 0
% 0.16/0.49  # Termbank termtop insertions          : 29315
% 0.16/0.49  # Search garbage collected termcells   : 617
% 0.16/0.49  
% 0.16/0.49  # -------------------------------------------------
% 0.16/0.49  # User time                : 0.034 s
% 0.16/0.49  # System time              : 0.002 s
% 0.16/0.49  # Total time               : 0.035 s
% 0.16/0.49  # Maximum resident set size: 1920 pages
% 0.16/0.49  
% 0.16/0.49  # -------------------------------------------------
% 0.16/0.49  # User time                : 0.152 s
% 0.16/0.49  # System time              : 0.013 s
% 0.16/0.49  # Total time               : 0.165 s
% 0.16/0.49  # Maximum resident set size: 1744 pages
% 0.16/0.49  % E---3.1 exiting
% 0.16/0.49  % E exiting
%------------------------------------------------------------------------------