TSTP Solution File: NUM693^4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM693^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 01:15:38 EDT 2024

% Result   : Theorem 1.19s 0.65s
% Output   : CNFRefutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   80 (  43 unt;  21 typ;   0 def)
%            Number of atoms       :  229 (  76 equ;   0 cnn)
%            Maximal formula atoms :   24 (   3 avg)
%            Number of connectives :  358 (  68   ~;  38   |;   8   &; 187   @)
%                                         (   0 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   57 (  57   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  21 usr;   5 con; 0-3 aty)
%            Number of variables   :  110 (  84   ^  26   !;   0   ?; 110   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    is_of: $i > ( $i > $o ) > $o ).

thf(decl_23,type,
    all_of: ( $i > $o ) > ( $i > $o ) > $o ).

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

thf(decl_47,type,
    ordsucc: $i > $i ).

thf(decl_61,type,
    imp: $o > $o > $o ).

thf(decl_62,type,
    d_not: $o > $o ).

thf(decl_67,type,
    l_or: $o > $o > $o ).

thf(decl_71,type,
    non: $i > ( $i > $o ) > $i > $o ).

thf(decl_72,type,
    l_some: $i > ( $i > $o ) > $o ).

thf(decl_77,type,
    e_is: $i > $i > $i > $o ).

thf(decl_123,type,
    nat: $i ).

thf(decl_124,type,
    n_is: $i > $i > $o ).

thf(decl_125,type,
    nis: $i > $i > $o ).

thf(decl_127,type,
    n_some: ( $i > $o ) > $o ).

thf(decl_130,type,
    n_1: $i ).

thf(decl_142,type,
    n_pl: $i > $i > $i ).

thf(decl_147,type,
    diffprop: $i > $i > $i > $o ).

thf(decl_148,type,
    d_29_ii: $i > $i > $o ).

thf(decl_151,type,
    moreis: $i > $i > $o ).

thf(decl_185,type,
    esk29_1: $i > $i ).

thf(decl_244,type,
    esk88_0: $i ).

thf(def_d_not,axiom,
    ( d_not
    = ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_d_not) ).

thf(def_imp,axiom,
    ( imp
    = ( ^ [X74: $o,X75: $o] :
          ( X74
         => X75 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_imp) ).

thf(def_all_of,axiom,
    ( all_of
    = ( ^ [X3: $i > $o,X2: $i > $o] :
        ! [X4: $i] :
          ( ( is_of @ X4 @ X3 )
         => ( X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_all_of) ).

thf(def_is_of,axiom,
    ( is_of
    = ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_is_of) ).

thf(def_non,axiom,
    ( non
    = ( ^ [X1: $i,X2: $i > $o,X4: $i] : ( d_not @ ( X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_non) ).

thf(def_l_some,axiom,
    ( l_some
    = ( ^ [X1: $i,X2: $i > $o] :
          ( d_not
          @ ( all_of
            @ ^ [X4: $i] : ( in @ X4 @ X1 )
            @ ( non @ X1 @ X2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_l_some) ).

thf(def_e_is,axiom,
    ( e_is
    = ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_e_is) ).

thf(def_diffprop,axiom,
    ( diffprop
    = ( ^ [X1: $i,X207: $i,X4: $i] : ( n_is @ X1 @ ( n_pl @ X207 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_diffprop) ).

thf(def_n_is,axiom,
    ( n_is
    = ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_is) ).

thf(def_l_or,axiom,
    ( l_or
    = ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_l_or) ).

thf(def_d_29_ii,axiom,
    ( d_29_ii
    = ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii) ).

thf(def_n_some,axiom,
    ( n_some
    = ( ^ [Z0: $i > $o] :
          ( ! [X495: $i] :
              ( ( in @ X495 @ nat )
             => ( ( Z0 @ X495 )
               => ~ $true ) )
         => ~ $true ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_n_some) ).

thf(def_nis,axiom,
    ( nis
    = ( ^ [X1: $i,X165: $i] : ( d_not @ ( n_is @ X1 @ X165 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM007^0.ax',def_nis) ).

thf(def_moreis,axiom,
    ( moreis
    = ( ^ [X1: $i,X229: $i] : ( l_or @ ( d_29_ii @ X1 @ X229 ) @ ( n_is @ X1 @ X229 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_moreis) ).

thf(satz3,axiom,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] :
        ( ( nis @ X1 @ n_1 )
       => ( n_some
          @ ^ [X175: $i] : ( n_is @ X1 @ ( ordsucc @ X175 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz3) ).

thf(satz24,conjecture,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] : ( moreis @ X1 @ n_1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24) ).

thf(satz4g,axiom,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] : ( n_is @ ( ordsucc @ X1 ) @ ( n_pl @ n_1 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4g) ).

thf(c_0_17,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_not]) ).

thf(c_0_18,plain,
    ( imp
    = ( ^ [Z0: $o,Z1: $o] :
          ( Z0
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_imp]) ).

thf(c_0_19,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_all_of]) ).

thf(c_0_20,plain,
    ( is_of
    = ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
    inference(fof_simplification,[status(thm)],[def_is_of]) ).

thf(c_0_21,plain,
    ( non
    = ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
          ( ( Z1 @ Z2 )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_non]) ).

thf(c_0_22,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[c_0_17,c_0_18]) ).

thf(c_0_23,plain,
    ( l_some
    = ( ^ [Z0: $i,Z1: $i > $o] :
          ( ! [X468: $i] :
              ( ( in @ X468 @ Z0 )
             => ( ( Z1 @ X468 )
               => ~ $true ) )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_l_some]) ).

thf(c_0_24,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_25,plain,
    ( non
    = ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
          ( ( Z1 @ Z2 )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_26,plain,
    ( e_is
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
    inference(fof_simplification,[status(thm)],[def_e_is]) ).

thf(c_0_27,plain,
    ( l_some
    = ( ^ [Z0: $i,Z1: $i > $o] :
          ( ! [X468: $i] :
              ( ( in @ X468 @ Z0 )
             => ( ( Z1 @ X468 )
               => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_24]),c_0_22]),c_0_25]) ).

thf(c_0_28,plain,
    ( diffprop
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] :
          ( Z0
          = ( n_pl @ Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_diffprop]) ).

thf(c_0_29,axiom,
    ( n_is
    = ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
    inference(apply_def,[status(thm)],[def_n_is,c_0_26]) ).

thf(c_0_30,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_l_or]) ).

thf(c_0_31,plain,
    ( d_29_ii
    = ( ^ [Z0: $i,Z1: $i] :
          ( ! [X506: $i] :
              ( ( in @ X506 @ nat )
             => ( ( Z0
                  = ( n_pl @ Z1 @ X506 ) )
               => ~ $true ) )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).

thf(c_0_32,axiom,
    ( n_some
    = ( ^ [Z0: $i > $o] :
          ( ! [X495: $i] :
              ( ( in @ X495 @ nat )
             => ( ( Z0 @ X495 )
               => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[def_n_some,c_0_27]) ).

thf(c_0_33,plain,
    ( diffprop
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] :
          ( Z0
          = ( n_pl @ Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_28,c_0_29]) ).

thf(c_0_34,plain,
    ( nis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( Z0 = Z1 )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_nis]) ).

thf(c_0_35,plain,
    ( moreis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( ! [X510: $i] :
                  ( ( in @ X510 @ nat )
                 => ( ( Z0
                      = ( n_pl @ Z1 @ X510 ) )
                   => ~ $true ) )
             => ~ $true )
           => ~ $true )
         => ( Z0 = Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_moreis]) ).

thf(c_0_36,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30,c_0_18]),c_0_22]) ).

thf(c_0_37,plain,
    ( d_29_ii
    = ( ^ [Z0: $i,Z1: $i] :
          ( ! [X506: $i] :
              ( ( in @ X506 @ nat )
             => ( ( Z0
                  = ( n_pl @ Z1 @ X506 ) )
               => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

thf(c_0_38,plain,
    ( nis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( Z0 = Z1 )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34,c_0_22]),c_0_29]) ).

thf(c_0_39,plain,
    ( moreis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( ! [X510: $i] :
                  ( ( in @ X510 @ nat )
                 => ( ( Z0
                      = ( n_pl @ Z1 @ X510 ) )
                   => ~ $true ) )
             => ~ $true )
           => ~ $true )
         => ( Z0 = Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35,c_0_36]),c_0_29]),c_0_37]) ).

thf(c_0_40,plain,
    ! [X596: $i] :
      ( ( in @ X596 @ nat )
     => ( ( ( X596 = n_1 )
         => ~ $true )
       => ( ! [X595: $i] :
              ( ( in @ X595 @ nat )
             => ( ( X596
                  = ( ordsucc @ X595 ) )
               => ~ $true ) )
         => ~ $true ) ) ),
    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)],[satz3]),c_0_24]),c_0_29]),c_0_38]),c_0_32]) ).

thf(c_0_41,negated_conjecture,
    ~ ! [X907: $i] :
        ( ( in @ X907 @ nat )
       => ( ( ( ! [X906: $i] :
                  ( ( in @ X906 @ nat )
                 => ( ( X907
                      = ( n_pl @ n_1 @ X906 ) )
                   => ~ $true ) )
             => ~ $true )
           => ~ $true )
         => ( X907 = n_1 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz24])]),c_0_24]),c_0_39]) ).

thf(c_0_42,plain,
    ! [X1357: $i] :
      ( ( ( in @ ( esk29_1 @ X1357 ) @ nat )
        | ~ $true
        | ( X1357 = n_1 )
        | ~ ( in @ X1357 @ nat ) )
      & ( ( X1357
          = ( ordsucc @ ( esk29_1 @ X1357 ) ) )
        | ~ $true
        | ( X1357 = n_1 )
        | ~ ( in @ X1357 @ nat ) )
      & ( $true
        | ~ $true
        | ( X1357 = n_1 )
        | ~ ( in @ X1357 @ nat ) )
      & ( ( in @ ( esk29_1 @ X1357 ) @ nat )
        | ~ $true
        | $true
        | ~ ( in @ X1357 @ nat ) )
      & ( ( X1357
          = ( ordsucc @ ( esk29_1 @ X1357 ) ) )
        | ~ $true
        | $true
        | ~ ( in @ X1357 @ nat ) )
      & ( $true
        | ~ $true
        | $true
        | ~ ( in @ X1357 @ nat ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])]) ).

thf(c_0_43,negated_conjecture,
    ! [X1685: $i] :
      ( ( in @ esk88_0 @ nat )
      & ( ~ ( in @ X1685 @ nat )
        | ( esk88_0
         != ( n_pl @ n_1 @ X1685 ) )
        | ~ $true
        | ~ $true )
      & ( $true
        | ~ $true )
      & ( esk88_0 != n_1 ) ),
    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_41])])])])])]) ).

thf(c_0_44,plain,
    ! [X1: $i] :
      ( ( in @ ( esk29_1 @ X1 ) @ nat )
      | ( X1 = n_1 )
      | ~ $true
      | ~ ( in @ X1 @ nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

thf(c_0_45,plain,
    ! [X616: $i] :
      ( ( in @ X616 @ nat )
     => ( ( ordsucc @ X616 )
        = ( n_pl @ n_1 @ X616 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4g]),c_0_24]),c_0_29]) ).

thf(c_0_46,plain,
    ! [X1: $i] :
      ( ( X1
        = ( ordsucc @ ( esk29_1 @ X1 ) ) )
      | ( X1 = n_1 )
      | ~ $true
      | ~ ( in @ X1 @ nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

thf(c_0_47,negated_conjecture,
    ! [X1: $i] :
      ( ~ ( in @ X1 @ nat )
      | ( esk88_0
       != ( n_pl @ n_1 @ X1 ) )
      | ~ $true
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

thf(c_0_48,plain,
    ! [X1: $i] :
      ( ( X1 = n_1 )
      | ( in @ ( esk29_1 @ X1 ) @ nat )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_44]) ).

thf(c_0_49,negated_conjecture,
    in @ esk88_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

thf(c_0_50,negated_conjecture,
    esk88_0 != n_1,
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

thf(c_0_51,plain,
    ! [X1382: $i] :
      ( ~ ( in @ X1382 @ nat )
      | ( ( ordsucc @ X1382 )
        = ( n_pl @ n_1 @ X1382 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).

thf(c_0_52,plain,
    ! [X1: $i] :
      ( ( X1 = n_1 )
      | ( X1
        = ( ordsucc @ ( esk29_1 @ X1 ) ) )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_46]) ).

thf(c_0_53,negated_conjecture,
    ! [X1: $i] :
      ( ( esk88_0
       != ( n_pl @ n_1 @ X1 ) )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_47]) ).

thf(c_0_54,negated_conjecture,
    in @ ( esk29_1 @ esk88_0 ) @ nat,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

thf(c_0_55,plain,
    ! [X1: $i] :
      ( ( ( ordsucc @ X1 )
        = ( n_pl @ n_1 @ X1 ) )
      | ~ ( in @ X1 @ nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

thf(c_0_56,negated_conjecture,
    ( ( ordsucc @ ( esk29_1 @ esk88_0 ) )
    = esk88_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_49]),c_0_50]) ).

thf(c_0_57,negated_conjecture,
    ( ( n_pl @ n_1 @ ( esk29_1 @ esk88_0 ) )
   != esk88_0 ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

thf(c_0_58,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_56]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem    : NUM693^4 : TPTP v8.2.0. Released v7.1.0.
% 0.09/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n021.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 05:38:52 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.15/0.41  Running higher-order theorem proving
% 0.15/0.41  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
% 0.83/0.57  # Type mismatch in argument #1 of indeq @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ (d_11_i @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1)) @ db(0): expected $i but got $o
% 0.83/0.57  eprover: Type error
% 0.83/0.62  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 0.83/0.62  eprover: Type error
% 1.19/0.64  # Type mismatch in argument #1 of prop2 @ ($not @ db(4)) @ ($db_lam @ db(0) @ ($db_lam @ db(0) @ ($@_var @ db(6) @ db(1) @ db(0)))) @ db(3) @ db(2) @ db(1) @ db(0): expected $i but got $o
% 1.19/0.64  eprover: Type error
% 1.19/0.65  # Version: 3.1.0-ho
% 1.19/0.65  # Preprocessing class: HSLMSMSSLLLCHSA.
% 1.19/0.65  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.65  # Starting lpo1_fix with 900s (3) cores
% 1.19/0.65  # Starting full_lambda_9 with 300s (1) cores
% 1.19/0.65  # Starting almost_fo_4 with 300s (1) cores
% 1.19/0.65  # Starting new_ho_9 with 300s (1) cores
% 1.19/0.65  # Starting pre_casc_4 with 300s (1) cores
% 1.19/0.65  # Starting ho_unfolding_6 with 300s (1) cores
% 1.19/0.65  # lpo1_fix with pid 22195 completed with status 0
% 1.19/0.65  # Result found by lpo1_fix
% 1.19/0.65  # Preprocessing class: HSLMSMSSLLLCHSA.
% 1.19/0.65  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.65  # Starting lpo1_fix with 900s (3) cores
% 1.19/0.65  # No SInE strategy applied
% 1.19/0.65  # Search class: HGHSM-FSLM32-MHSMMSBN
% 1.19/0.65  # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.19/0.65  # Starting full_lambda_5 with 82s (1) cores
% 1.19/0.65  # Starting new_ho_6 with 82s (1) cores
% 1.19/0.65  # Starting pre_casc_4 with 82s (1) cores
% 1.19/0.65  # pre_casc_4 with pid 22207 completed with status 0
% 1.19/0.65  # Result found by pre_casc_4
% 1.19/0.65  # Preprocessing class: HSLMSMSSLLLCHSA.
% 1.19/0.65  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.19/0.65  # Starting lpo1_fix with 900s (3) cores
% 1.19/0.65  # No SInE strategy applied
% 1.19/0.65  # Search class: HGHSM-FSLM32-MHSMMSBN
% 1.19/0.65  # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.19/0.65  # Starting full_lambda_5 with 82s (1) cores
% 1.19/0.65  # Starting new_ho_6 with 82s (1) cores
% 1.19/0.65  # Starting pre_casc_4 with 82s (1) cores
% 1.19/0.65  # Preprocessing time       : 0.010 s
% 1.19/0.65  # Presaturation interreduction done
% 1.19/0.65  
% 1.19/0.65  # Proof found!
% 1.19/0.65  # SZS status Theorem
% 1.19/0.65  # SZS output start CNFRefutation
% See solution above
% 1.19/0.65  # Parsed axioms                        : 397
% 1.19/0.65  # Removed by relevancy pruning/SinE    : 0
% 1.19/0.65  # Initial clauses                      : 1158
% 1.19/0.65  # Removed in clause preprocessing      : 714
% 1.19/0.65  # Initial clauses in saturation        : 444
% 1.19/0.65  # Processed clauses                    : 799
% 1.19/0.65  # ...of these trivial                  : 4
% 1.19/0.65  # ...subsumed                          : 70
% 1.19/0.65  # ...remaining for further processing  : 724
% 1.19/0.65  # Other redundant clauses eliminated   : 201
% 1.19/0.65  # Clauses deleted for lack of memory   : 0
% 1.19/0.65  # Backward-subsumed                    : 0
% 1.19/0.65  # Backward-rewritten                   : 9
% 1.19/0.65  # Generated clauses                    : 547
% 1.19/0.65  # ...of the previous two non-redundant : 530
% 1.19/0.65  # ...aggressively subsumed             : 0
% 1.19/0.65  # Contextual simplify-reflections      : 10
% 1.19/0.65  # Paramodulations                      : 384
% 1.19/0.65  # Factorizations                       : 0
% 1.19/0.65  # NegExts                              : 0
% 1.19/0.65  # Equation resolutions                 : 202
% 1.19/0.65  # Disequality decompositions           : 0
% 1.19/0.65  # Total rewrite steps                  : 93
% 1.19/0.65  # ...of those cached                   : 54
% 1.19/0.65  # Propositional unsat checks           : 0
% 1.19/0.65  #    Propositional check models        : 0
% 1.19/0.65  #    Propositional check unsatisfiable : 0
% 1.19/0.65  #    Propositional clauses             : 0
% 1.19/0.65  #    Propositional clauses after purity: 0
% 1.19/0.65  #    Propositional unsat core size     : 0
% 1.19/0.65  #    Propositional preprocessing time  : 0.000
% 1.19/0.65  #    Propositional encoding time       : 0.000
% 1.19/0.65  #    Propositional solver time         : 0.000
% 1.19/0.65  #    Success case prop preproc time    : 0.000
% 1.19/0.65  #    Success case prop encoding time   : 0.000
% 1.19/0.65  #    Success case prop solver time     : 0.000
% 1.19/0.65  # Current number of processed clauses  : 186
% 1.19/0.65  #    Positive orientable unit clauses  : 72
% 1.19/0.65  #    Positive unorientable unit clauses: 0
% 1.19/0.65  #    Negative unit clauses             : 35
% 1.19/0.65  #    Non-unit-clauses                  : 79
% 1.19/0.65  # Current number of unprocessed clauses: 577
% 1.19/0.65  # ...number of literals in the above   : 1774
% 1.19/0.65  # Current number of archived formulas  : 0
% 1.19/0.65  # Current number of archived clauses   : 412
% 1.19/0.65  # Clause-clause subsumption calls (NU) : 96374
% 1.19/0.65  # Rec. Clause-clause subsumption calls : 6243
% 1.19/0.65  # Non-unit clause-clause subsumptions  : 50
% 1.19/0.65  # Unit Clause-clause subsumption calls : 1427
% 1.19/0.65  # Rewrite failures with RHS unbound    : 0
% 1.19/0.65  # BW rewrite match attempts            : 28
% 1.19/0.65  # BW rewrite match successes           : 3
% 1.19/0.65  # Condensation attempts                : 0
% 1.19/0.65  # Condensation successes               : 0
% 1.19/0.65  # Termbank termtop insertions          : 147144
% 1.19/0.65  # Search garbage collected termcells   : 46815
% 1.19/0.65  
% 1.19/0.65  # -------------------------------------------------
% 1.19/0.65  # User time                : 0.195 s
% 1.19/0.65  # System time              : 0.019 s
% 1.19/0.65  # Total time               : 0.214 s
% 1.19/0.65  # Maximum resident set size: 8544 pages
% 1.19/0.65  
% 1.19/0.65  # -------------------------------------------------
% 1.19/0.65  # User time                : 0.445 s
% 1.19/0.65  # System time              : 0.038 s
% 1.19/0.65  # Total time               : 0.483 s
% 1.19/0.65  # Maximum resident set size: 2380 pages
% 1.19/0.65  % E---3.1 exiting
% 1.19/0.65  % E exiting
%------------------------------------------------------------------------------