TSTP Solution File: NUM740^4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM740^4 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : Sat May  4 08:56:31 EDT 2024

% Result   : Theorem 0.44s 0.75s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   72 (  38 unt;  24 typ;   0 def)
%            Number of atoms       :  177 (  33 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  573 (  25   ~;  11   |;   5   &; 501   @)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   50 (  50   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  24 usr;   6 con; 0-3 aty)
%            Number of variables   :   79 (  68   ^  11   !;   0   ?;  79   :)

% 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_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_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_127,type,
    n_some: ( $i > $o ) > $o ).

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

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

thf(decl_149,type,
    iii: $i > $i > $o ).

thf(decl_162,type,
    n_ts: $i > $i > $i ).

thf(decl_189,type,
    frac: $i ).

thf(decl_191,type,
    num: $i > $i ).

thf(decl_192,type,
    den: $i > $i ).

thf(decl_193,type,
    n_eq: $i > $i > $o ).

thf(decl_194,type,
    moref: $i > $i > $o ).

thf(decl_195,type,
    lessf: $i > $i > $o ).

thf(decl_196,type,
    moreq: $i > $i > $o ).

thf(decl_197,type,
    lesseq: $i > $i > $o ).

thf(decl_198,type,
    esk1_0: $i ).

thf(decl_199,type,
    esk2_0: $i ).

thf(def_d_not,axiom,
    ( d_not
    = ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_d_not) ).

thf(def_imp,axiom,
    ( imp
    = ( ^ [X74: $o,X75: $o] :
          ( X74
         => X75 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_imp) ).

thf(def_moref,axiom,
    ( moref
    = ( ^ [X1: $i,X449: $i] : ( d_29_ii @ ( n_ts @ ( num @ X1 ) @ ( den @ X449 ) ) @ ( n_ts @ ( num @ X449 ) @ ( den @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_moref) ).

thf(def_d_29_ii,axiom,
    ( d_29_ii
    = ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_d_29_ii) ).

thf(def_n_eq,axiom,
    ( n_eq
    = ( ^ [X1: $i,X436: $i] : ( n_is @ ( n_ts @ ( num @ X1 ) @ ( den @ X436 ) ) @ ( n_ts @ ( num @ X436 ) @ ( den @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_n_eq) ).

thf(def_l_or,axiom,
    ( l_or
    = ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_l_or) ).

thf(def_lessf,axiom,
    ( lessf
    = ( ^ [X1: $i,X450: $i] : ( iii @ ( n_ts @ ( num @ X1 ) @ ( den @ X450 ) ) @ ( n_ts @ ( num @ X450 ) @ ( den @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_lessf) ).

thf(def_iii,axiom,
    ( iii
    = ( ^ [X1: $i,X211: $i] : ( n_some @ ( diffprop @ X211 @ X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_iii) ).

thf(def_all_of,axiom,
    ( all_of
    = ( ^ [X3: $i > $o,X2: $i > $o] :
        ! [X4: $i] :
          ( ( is_of @ X4 @ X3 )
         => ( X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_all_of) ).

thf(def_is_of,axiom,
    ( is_of
    = ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_is_of) ).

thf(def_moreq,axiom,
    ( moreq
    = ( ^ [X1: $i,X465: $i] : ( l_or @ ( moref @ X1 @ X465 ) @ ( n_eq @ X1 @ X465 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_moreq) ).

thf(def_n_is,axiom,
    ( n_is
    = ( e_is @ nat ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_n_is) ).

thf(def_lesseq,axiom,
    ( lesseq
    = ( ^ [X1: $i,X466: $i] : ( l_or @ ( lessf @ X1 @ X466 ) @ ( n_eq @ X1 @ X466 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',def_lesseq) ).

thf(satz48,conjecture,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ frac )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X487: $i] : ( in @ X487 @ frac )
        @ ^ [X488: $i] :
            ( ( moreq @ X1 @ X488 )
           => ( lesseq @ X488 @ X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',satz48) ).

thf(satz38,axiom,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ frac )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X437: $i] : ( in @ X437 @ frac )
        @ ^ [X438: $i] :
            ( ( n_eq @ X1 @ X438 )
           => ( n_eq @ X438 @ X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p',satz38) ).

thf(c_0_15,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_not]) ).

thf(c_0_16,plain,
    ( imp
    = ( ^ [Z0: $o,Z1: $o] :
          ( Z0
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_imp]) ).

thf(c_0_17,plain,
    ( moref
    = ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_moref]) ).

thf(c_0_18,plain,
    ( d_29_ii
    = ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ Z0 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).

thf(c_0_19,plain,
    ( n_eq
    = ( ^ [Z0: $i,Z1: $i] : ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_n_eq]) ).

thf(c_0_20,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_l_or]) ).

thf(c_0_21,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_22,plain,
    ( lessf
    = ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_lessf]) ).

thf(c_0_23,plain,
    ( iii
    = ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ Z1 @ Z0 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_iii]) ).

thf(c_0_24,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_25,plain,
    ( is_of
    = ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
    inference(fof_simplification,[status(thm)],[def_is_of]) ).

thf(c_0_26,plain,
    ( moreq
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) )
           => ~ $true )
         => ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_moreq]) ).

thf(c_0_27,plain,
    ( moref
    = ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_17,c_0_18]) ).

thf(c_0_28,plain,
    ( n_eq
    = ( ^ [Z0: $i,Z1: $i] : ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_19,def_n_is]) ).

thf(c_0_29,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_16]),c_0_21]) ).

thf(c_0_30,plain,
    ( lesseq
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) ) )
           => ~ $true )
         => ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_lesseq]) ).

thf(c_0_31,plain,
    ( lessf
    = ( ^ [Z0: $i,Z1: $i] : ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_22,c_0_23]) ).

thf(c_0_32,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_33,plain,
    ( moreq
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) )
           => ~ $true )
         => ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).

thf(c_0_34,plain,
    ( lesseq
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) ) )
           => ~ $true )
         => ( e_is @ nat @ ( n_ts @ ( num @ Z0 ) @ ( den @ Z1 ) ) @ ( n_ts @ ( num @ Z1 ) @ ( den @ Z0 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30,c_0_31]),c_0_28]),c_0_29]) ).

thf(c_0_35,negated_conjecture,
    ~ ! [X527: $i] :
        ( ( in @ X527 @ frac )
       => ! [X526: $i] :
            ( ( in @ X526 @ frac )
           => ( ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X527 ) @ ( den @ X526 ) ) @ ( n_ts @ ( num @ X526 ) @ ( den @ X527 ) ) ) )
                 => ~ $true )
               => ( e_is @ nat @ ( n_ts @ ( num @ X527 ) @ ( den @ X526 ) ) @ ( n_ts @ ( num @ X526 ) @ ( den @ X527 ) ) ) )
             => ( ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ X527 ) @ ( den @ X526 ) ) @ ( n_ts @ ( num @ X526 ) @ ( den @ X527 ) ) ) )
                 => ~ $true )
               => ( e_is @ nat @ ( n_ts @ ( num @ X526 ) @ ( den @ X527 ) ) @ ( n_ts @ ( num @ X527 ) @ ( den @ X526 ) ) ) ) ) ) ),
    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)],[satz48])]),c_0_32]),c_0_33]),c_0_34]) ).

thf(c_0_36,negated_conjecture,
    ( ( in @ esk1_0 @ frac )
    & ( in @ esk2_0 @ frac )
    & ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
      | ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
    & ( $true
      | ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
    & ( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
      | ~ $true )
    & ~ ( e_is @ nat @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) ) ),
    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_35])])])])]) ).

thf(c_0_37,plain,
    ! [X555: $i] :
      ( ( in @ X555 @ frac )
     => ! [X554: $i] :
          ( ( in @ X554 @ frac )
         => ( ( e_is @ nat @ ( n_ts @ ( num @ X555 ) @ ( den @ X554 ) ) @ ( n_ts @ ( num @ X554 ) @ ( den @ X555 ) ) )
           => ( e_is @ nat @ ( n_ts @ ( num @ X554 ) @ ( den @ X555 ) ) @ ( n_ts @ ( num @ X555 ) @ ( den @ X554 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz38]),c_0_32]),c_0_28]) ).

thf(c_0_38,negated_conjecture,
    ( ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
    | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

thf(c_0_39,plain,
    ! [X889: $i,X890: $i] :
      ( ~ ( in @ X889 @ frac )
      | ~ ( in @ X890 @ frac )
      | ~ ( e_is @ nat @ ( n_ts @ ( num @ X889 ) @ ( den @ X890 ) ) @ ( n_ts @ ( num @ X890 ) @ ( den @ X889 ) ) )
      | ( e_is @ nat @ ( n_ts @ ( num @ X890 ) @ ( den @ X889 ) ) @ ( n_ts @ ( num @ X889 ) @ ( den @ X890 ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).

thf(c_0_40,negated_conjecture,
    ( ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) )
    | ( e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

thf(c_0_41,negated_conjecture,
    ~ ( n_some @ ( diffprop @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) ) ),
    inference(cn,[status(thm)],[c_0_38]) ).

thf(c_0_42,plain,
    ! [X4: $i,X1: $i] :
      ( ( e_is @ nat @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) )
      | ~ ( in @ X1 @ frac )
      | ~ ( in @ X4 @ frac )
      | ~ ( e_is @ nat @ ( n_ts @ ( num @ X1 ) @ ( den @ X4 ) ) @ ( n_ts @ ( num @ X4 ) @ ( den @ X1 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

thf(c_0_43,negated_conjecture,
    e_is @ nat @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ),
    inference(sr,[status(thm)],[c_0_40,c_0_41]) ).

thf(c_0_44,negated_conjecture,
    in @ esk2_0 @ frac,
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

thf(c_0_45,negated_conjecture,
    in @ esk1_0 @ frac,
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

thf(c_0_46,negated_conjecture,
    ~ ( e_is @ nat @ ( n_ts @ ( num @ esk2_0 ) @ ( den @ esk1_0 ) ) @ ( n_ts @ ( num @ esk1_0 ) @ ( den @ esk2_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

thf(c_0_47,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45])]),c_0_46]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.19/0.18  % Problem    : NUM740^4 : TPTP v8.1.2. Released v7.1.0.
% 0.19/0.19  % Command    : run_E %s %d THM
% 0.20/0.40  % Computer : n014.cluster.edu
% 0.20/0.40  % Model    : x86_64 x86_64
% 0.20/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.40  % Memory   : 8042.1875MB
% 0.20/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.40  % CPULimit   : 300
% 0.20/0.40  % WCLimit    : 300
% 0.20/0.40  % DateTime   : Fri May  3 09:17:32 EDT 2024
% 0.20/0.41  % CPUTime    : 
% 0.38/0.60  Running higher-order theorem proving
% 0.38/0.60  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/tmp/tmp.lPSvCgA0Ap/E---3.1_29435.p
% 0.44/0.75  # Version: 3.1.0-ho
% 0.44/0.75  # Preprocessing class: HSLMSMSMLLLCHSA.
% 0.44/0.75  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.75  # Starting pre_casc_4 with 1200s (4) cores
% 0.44/0.75  # Starting full_lambda_6 with 300s (1) cores
% 0.44/0.75  # Starting sh10 with 300s (1) cores
% 0.44/0.75  # Starting post_as_ho9 with 300s (1) cores
% 0.44/0.75  # Starting post_as_ho8 with 300s (1) cores
% 0.44/0.75  # pre_casc_4 with pid 29569 completed with status 0
% 0.44/0.75  # Result found by pre_casc_4
% 0.44/0.75  # Preprocessing class: HSLMSMSMLLLCHSA.
% 0.44/0.75  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.75  # Starting pre_casc_4 with 1200s (4) cores
% 0.44/0.75  # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.44/0.75  # Search class: HGHSM-FSLM31-DHSMMFBN
% 0.44/0.75  # partial match(2): HGHSM-FSLM31-DHSFFFBN
% 0.44/0.75  # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.44/0.75  # Starting sh1l with 357s (1) cores
% 0.44/0.75  # Starting pre_casc_4 with 121s (1) cores
% 0.44/0.75  # Starting new_bool_8 with 210s (1) cores
% 0.44/0.75  # Starting new_bool_9 with 208s (1) cores
% 0.44/0.75  # sh1l with pid 29576 completed with status 0
% 0.44/0.75  # Result found by sh1l
% 0.44/0.75  # Preprocessing class: HSLMSMSMLLLCHSA.
% 0.44/0.75  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.75  # Starting pre_casc_4 with 1200s (4) cores
% 0.44/0.75  # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.44/0.75  # Search class: HGHSM-FSLM31-DHSMMFBN
% 0.44/0.75  # partial match(2): HGHSM-FSLM31-DHSFFFBN
% 0.44/0.75  # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.44/0.75  # Starting sh1l with 357s (1) cores
% 0.44/0.75  # Preprocessing time       : 0.019 s
% 0.44/0.75  
% 0.44/0.75  # Proof found!
% 0.44/0.75  # SZS status Theorem
% 0.44/0.75  # SZS output start CNFRefutation
% See solution above
% 0.44/0.75  # Parsed axioms                        : 562
% 0.44/0.75  # Removed by relevancy pruning/SinE    : 395
% 0.44/0.75  # Initial clauses                      : 284
% 0.44/0.75  # Removed in clause preprocessing      : 81
% 0.44/0.75  # Initial clauses in saturation        : 203
% 0.44/0.75  # Processed clauses                    : 128
% 0.44/0.75  # ...of these trivial                  : 0
% 0.44/0.75  # ...subsumed                          : 33
% 0.44/0.75  # ...remaining for further processing  : 95
% 0.44/0.75  # Other redundant clauses eliminated   : 0
% 0.44/0.75  # Clauses deleted for lack of memory   : 0
% 0.44/0.75  # Backward-subsumed                    : 1
% 0.44/0.75  # Backward-rewritten                   : 0
% 0.44/0.75  # Generated clauses                    : 371
% 0.44/0.75  # ...of the previous two non-redundant : 343
% 0.44/0.75  # ...aggressively subsumed             : 0
% 0.44/0.75  # Contextual simplify-reflections      : 1
% 0.44/0.75  # Paramodulations                      : 345
% 0.44/0.75  # Factorizations                       : 0
% 0.44/0.75  # NegExts                              : 0
% 0.44/0.75  # Equation resolutions                 : 2
% 0.44/0.75  # Disequality decompositions           : 0
% 0.44/0.75  # Total rewrite steps                  : 60
% 0.44/0.75  # ...of those cached                   : 55
% 0.44/0.75  # Propositional unsat checks           : 0
% 0.44/0.75  #    Propositional check models        : 0
% 0.44/0.75  #    Propositional check unsatisfiable : 0
% 0.44/0.75  #    Propositional clauses             : 0
% 0.44/0.75  #    Propositional clauses after purity: 0
% 0.44/0.75  #    Propositional unsat core size     : 0
% 0.44/0.75  #    Propositional preprocessing time  : 0.000
% 0.44/0.75  #    Propositional encoding time       : 0.000
% 0.44/0.75  #    Propositional solver time         : 0.000
% 0.44/0.75  #    Success case prop preproc time    : 0.000
% 0.44/0.75  #    Success case prop encoding time   : 0.000
% 0.44/0.75  #    Success case prop solver time     : 0.000
% 0.44/0.75  # Current number of processed clauses  : 94
% 0.44/0.75  #    Positive orientable unit clauses  : 16
% 0.44/0.75  #    Positive unorientable unit clauses: 2
% 0.44/0.75  #    Negative unit clauses             : 4
% 0.44/0.75  #    Non-unit-clauses                  : 72
% 0.44/0.75  # Current number of unprocessed clauses: 416
% 0.44/0.75  # ...number of literals in the above   : 2204
% 0.44/0.75  # Current number of archived formulas  : 0
% 0.44/0.75  # Current number of archived clauses   : 1
% 0.44/0.75  # Clause-clause subsumption calls (NU) : 2793
% 0.44/0.75  # Rec. Clause-clause subsumption calls : 655
% 0.44/0.75  # Non-unit clause-clause subsumptions  : 35
% 0.44/0.75  # Unit Clause-clause subsumption calls : 8
% 0.44/0.75  # Rewrite failures with RHS unbound    : 0
% 0.44/0.75  # BW rewrite match attempts            : 3
% 0.44/0.75  # BW rewrite match successes           : 2
% 0.44/0.75  # Condensation attempts                : 0
% 0.44/0.75  # Condensation successes               : 0
% 0.44/0.75  # Termbank termtop insertions          : 95841
% 0.44/0.75  # Search garbage collected termcells   : 26148
% 0.44/0.75  
% 0.44/0.75  # -------------------------------------------------
% 0.44/0.75  # User time                : 0.097 s
% 0.44/0.75  # System time              : 0.024 s
% 0.44/0.75  # Total time               : 0.121 s
% 0.44/0.75  # Maximum resident set size: 6464 pages
% 0.44/0.75  
% 0.44/0.75  # -------------------------------------------------
% 0.44/0.75  # User time                : 0.234 s
% 0.44/0.75  # System time              : 0.041 s
% 0.44/0.75  # Total time               : 0.275 s
% 0.44/0.75  # Maximum resident set size: 2724 pages
% 0.44/0.75  % E---3.1 exiting
% 1.23/0.75  % E exiting
%------------------------------------------------------------------------------