TSTP Solution File: NUM698^4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM698^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 01:15:41 EDT 2024
% Result : Theorem 0.36s 0.97s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 60
% Syntax : Number of formulae : 144 ( 71 unt; 33 typ; 0 def)
% Number of atoms : 943 ( 217 equ; 0 cnn)
% Maximal formula atoms : 275 ( 8 avg)
% Number of connectives : 2292 ( 513 ~; 457 |; 59 &;1035 @)
% ( 0 <=>; 228 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 33 usr; 7 con; 0-3 aty)
% Number of variables : 250 ( 153 ^ 97 !; 0 ?; 250 :)
% 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_65,type,
l_ec: $o > $o > $o ).
thf(decl_66,type,
d_and: $o > $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_73,type,
or3: $o > $o > $o > $o ).
thf(decl_74,type,
and3: $o > $o > $o > $o ).
thf(decl_75,type,
ec3: $o > $o > $o > $o ).
thf(decl_76,type,
orec3: $o > $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_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_149,type,
iii: $i > $i > $o ).
thf(decl_151,type,
moreis: $i > $i > $o ).
thf(decl_152,type,
lessis: $i > $i > $o ).
thf(decl_190,type,
esk34_2: $i > $i > $i ).
thf(decl_191,type,
esk35_2: $i > $i > $i ).
thf(decl_200,type,
esk44_2: $i > $i > $i ).
thf(decl_248,type,
esk92_2: $i > $i > $i ).
thf(decl_250,type,
esk94_0: $i ).
thf(decl_251,type,
esk95_0: $i ).
thf(decl_252,type,
esk96_0: $i ).
thf(def_d_not,axiom,
( d_not
= ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_d_not) ).
thf(def_imp,axiom,
( imp
= ( ^ [X74: $o,X75: $o] :
( X74
=> X75 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/NUM007^0.ax',def_non) ).
thf(def_l_ec,axiom,
( l_ec
= ( ^ [X79: $o,X80: $o] : ( imp @ X79 @ ( d_not @ X80 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_l_ec) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/NUM007^0.ax',def_e_is) ).
thf(def_d_and,axiom,
( d_and
= ( ^ [X81: $o,X82: $o] : ( d_not @ ( l_ec @ X81 @ X82 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_d_and) ).
thf(def_diffprop,axiom,
( diffprop
= ( ^ [X1: $i,X207: $i,X4: $i] : ( n_is @ X1 @ ( n_pl @ X207 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_diffprop) ).
thf(def_n_is,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_is) ).
thf(def_l_or,axiom,
( l_or
= ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_l_or) ).
thf(def_and3,axiom,
( and3
= ( ^ [X92: $o,X93: $o,X94: $o] : ( d_and @ X92 @ ( d_and @ X93 @ X94 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_and3) ).
thf(def_iii,axiom,
( iii
= ( ^ [X1: $i,X211: $i] : ( n_some @ ( diffprop @ X211 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_iii) ).
thf(def_n_some,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X501: $i] :
( ( in @ X501 @ nat )
=> ( ( Z0 @ X501 )
=> ~ $true ) )
=> ~ $true ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_n_some) ).
thf(def_or3,axiom,
( or3
= ( ^ [X89: $o,X90: $o,X91: $o] : ( l_or @ X89 @ ( l_or @ X90 @ X91 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_or3) ).
thf(def_ec3,axiom,
( ec3
= ( ^ [X95: $o,X96: $o,X97: $o] : ( and3 @ ( l_ec @ X95 @ X96 ) @ ( l_ec @ X96 @ X97 ) @ ( l_ec @ X97 @ X95 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_ec3) ).
thf(def_d_29_ii,axiom,
( d_29_ii
= ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_d_29_ii) ).
thf(def_lessis,axiom,
( lessis
= ( ^ [X1: $i,X230: $i] : ( l_or @ ( iii @ X1 @ X230 ) @ ( n_is @ X1 @ X230 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_lessis) ).
thf(def_orec3,axiom,
( orec3
= ( ^ [X98: $o,X99: $o,X100: $o] : ( d_and @ ( or3 @ X98 @ X99 @ X100 ) @ ( ec3 @ X98 @ X99 @ X100 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax',def_orec3) ).
thf(def_moreis,axiom,
( moreis
= ( ^ [X1: $i,X229: $i] : ( l_or @ ( d_29_ii @ X1 @ X229 ) @ ( n_is @ X1 @ X229 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_moreis) ).
thf(satz4e,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] : ( n_is @ ( ordsucc @ X1 ) @ ( n_pl @ X1 @ n_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4e) ).
thf(satz25b,conjecture,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X327: $i] : ( in @ X327 @ nat )
@ ^ [X328: $i] :
( ( iii @ X328 @ X1 )
=> ( lessis @ ( n_pl @ X328 @ n_1 ) @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz25b) ).
thf(satz9,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X213: $i] : ( in @ X213 @ nat )
@ ^ [X214: $i] :
( orec3 @ ( n_is @ X1 @ X214 )
@ ( n_some
@ ^ [X4: $i] : ( n_is @ X1 @ ( n_pl @ X214 @ X4 ) ) )
@ ( n_some
@ ^ [X4: $i] : ( n_is @ X214 @ ( n_pl @ X1 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz9) ).
thf(satz25,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X323: $i] : ( in @ X323 @ nat )
@ ^ [X324: $i] :
( ( d_29_ii @ X324 @ X1 )
=> ( moreis @ X324 @ ( n_pl @ X1 @ n_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz25) ).
thf(satz4g,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] : ( n_is @ ( ordsucc @ X1 ) @ ( n_pl @ n_1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4g) ).
thf(satz13,axiom,
( all_of
@ ^ [X1: $i] : ( in @ X1 @ nat )
@ ^ [X1: $i] :
( all_of
@ ^ [X231: $i] : ( in @ X231 @ nat )
@ ^ [X232: $i] :
( ( moreis @ X1 @ X232 )
=> ( lessis @ X232 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz13) ).
thf(c_0_27,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_not]) ).
thf(c_0_28,plain,
( imp
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_imp]) ).
thf(c_0_29,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_30,plain,
( is_of
= ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[def_is_of]) ).
thf(c_0_31,plain,
( non
= ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
( ( Z1 @ Z2 )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_non]) ).
thf(c_0_32,plain,
( d_not
= ( ^ [Z0: $o] :
( Z0
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_33,plain,
( l_ec
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> ( Z1
=> ~ $true ) ) ) ),
inference(fof_simplification,[status(thm)],[def_l_ec]) ).
thf(c_0_34,plain,
( l_some
= ( ^ [Z0: $i,Z1: $i > $o] :
( ! [X474: $i] :
( ( in @ X474 @ Z0 )
=> ( ( Z1 @ X474 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_l_some]) ).
thf(c_0_35,plain,
( all_of
= ( ^ [Z0: $i > $o,Z1: $i > $o] :
! [X4: $i] :
( ( Z0 @ X4 )
=> ( Z1 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_36,plain,
( non
= ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
( ( Z1 @ Z2 )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_37,plain,
( e_is
= ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
inference(fof_simplification,[status(thm)],[def_e_is]) ).
thf(c_0_38,plain,
( d_and
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ( Z1
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_and]) ).
thf(c_0_39,plain,
( l_ec
= ( ^ [Z0: $o,Z1: $o] :
( Z0
=> ( Z1
=> ~ $true ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33,c_0_28]),c_0_32]) ).
thf(c_0_40,plain,
( l_some
= ( ^ [Z0: $i,Z1: $i > $o] :
( ! [X474: $i] :
( ( in @ X474 @ Z0 )
=> ( ( Z1 @ X474 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34,c_0_35]),c_0_32]),c_0_36]) ).
thf(c_0_41,plain,
( diffprop
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( Z0
= ( n_pl @ Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_diffprop]) ).
thf(c_0_42,axiom,
( n_is
= ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
inference(apply_def,[status(thm)],[def_n_is,c_0_37]) ).
thf(c_0_43,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(fof_simplification,[status(thm)],[def_l_or]) ).
thf(c_0_44,plain,
( and3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_and3]) ).
thf(c_0_45,plain,
( d_and
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ( Z1
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_38,c_0_32]),c_0_39]) ).
thf(c_0_46,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X513: $i] :
( ( in @ X513 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X513 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_iii]) ).
thf(c_0_47,axiom,
( n_some
= ( ^ [Z0: $i > $o] :
( ! [X501: $i] :
( ( in @ X501 @ nat )
=> ( ( Z0 @ X501 )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[def_n_some,c_0_40]) ).
thf(c_0_48,plain,
( diffprop
= ( ^ [Z0: $i,Z1: $i,Z2: $i] :
( Z0
= ( n_pl @ Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_41,c_0_42]) ).
thf(c_0_49,plain,
( or3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_or3]) ).
thf(c_0_50,plain,
( l_or
= ( ^ [Z0: $o,Z1: $o] :
( ( Z0
=> ~ $true )
=> Z1 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_43,c_0_28]),c_0_32]) ).
thf(c_0_51,plain,
( ec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_ec3]) ).
thf(c_0_52,plain,
( and3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_53,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X512: $i] :
( ( in @ X512 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X512 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).
thf(c_0_54,plain,
( lessis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( ! [X517: $i] :
( ( in @ X517 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X517 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_lessis]) ).
thf(c_0_55,plain,
( iii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X513: $i] :
( ( in @ X513 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X513 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
thf(c_0_56,plain,
( orec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) )
=> ( ( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[def_orec3]) ).
thf(c_0_57,plain,
( or3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_58,plain,
( ec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_51,c_0_39]),c_0_52]) ).
thf(c_0_59,plain,
( moreis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( ! [X516: $i] :
( ( in @ X516 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X516 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[def_moreis]) ).
thf(c_0_60,plain,
( d_29_ii
= ( ^ [Z0: $i,Z1: $i] :
( ! [X512: $i] :
( ( in @ X512 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X512 ) )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_53,c_0_47]),c_0_48]) ).
thf(c_0_61,plain,
( lessis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( ! [X517: $i] :
( ( in @ X517 @ nat )
=> ( ( Z1
= ( n_pl @ Z0 @ X517 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_54,c_0_50]),c_0_42]),c_0_55]) ).
thf(c_0_62,plain,
( orec3
= ( ^ [Z0: $o,Z1: $o,Z2: $o] :
( ( ( ( Z0
=> ~ $true )
=> ( ( Z1
=> ~ $true )
=> Z2 ) )
=> ( ( ( ( Z0
=> ( Z1
=> ~ $true ) )
=> ( ( ( ( Z1
=> ( Z2
=> ~ $true ) )
=> ( ( Z2
=> ( Z0
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_56,c_0_45]),c_0_57]),c_0_58]) ).
thf(c_0_63,plain,
( moreis
= ( ^ [Z0: $i,Z1: $i] :
( ( ( ! [X516: $i] :
( ( in @ X516 @ nat )
=> ( ( Z0
= ( n_pl @ Z1 @ X516 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( Z0 = Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_59,c_0_50]),c_0_42]),c_0_60]) ).
thf(c_0_64,plain,
! [X619: $i] :
( ( in @ X619 @ nat )
=> ( ( ordsucc @ X619 )
= ( n_pl @ X619 @ n_1 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4e]),c_0_35]),c_0_42]) ).
thf(c_0_65,negated_conjecture,
~ ! [X931: $i] :
( ( in @ X931 @ nat )
=> ! [X930: $i] :
( ( in @ X930 @ nat )
=> ( ( ! [X928: $i] :
( ( in @ X928 @ nat )
=> ( ( X931
= ( n_pl @ X930 @ X928 ) )
=> ~ $true ) )
=> ~ $true )
=> ( ( ( ! [X929: $i] :
( ( in @ X929 @ nat )
=> ( ( X931
= ( n_pl @ ( n_pl @ X930 @ n_1 ) @ X929 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( ( n_pl @ X930 @ n_1 )
= X931 ) ) ) ) ),
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)],[satz25b])]),c_0_35]),c_0_55]),c_0_61]) ).
thf(c_0_66,plain,
! [X645: $i] :
( ( in @ X645 @ nat )
=> ! [X644: $i] :
( ( in @ X644 @ nat )
=> ( ( ( ( ( X645 = X644 )
=> ~ $true )
=> ( ( ( ! [X642: $i] :
( ( in @ X642 @ nat )
=> ( ( X645
= ( n_pl @ X644 @ X642 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( ! [X643: $i] :
( ( in @ X643 @ nat )
=> ( ( X644
= ( n_pl @ X645 @ X643 ) )
=> ~ $true ) )
=> ~ $true ) ) )
=> ( ( ( ( ( X645 = X644 )
=> ( ( ! [X642: $i] :
( ( in @ X642 @ nat )
=> ( ( X645
= ( n_pl @ X644 @ X642 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ( ( ( ( ( ! [X642: $i] :
( ( in @ X642 @ nat )
=> ( ( X645
= ( n_pl @ X644 @ X642 ) )
=> ~ $true ) )
=> ~ $true )
=> ( ( ! [X643: $i] :
( ( in @ X643 @ nat )
=> ( ( X644
= ( n_pl @ X645 @ X643 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ( ( ( ! [X643: $i] :
( ( in @ X643 @ nat )
=> ( ( X644
= ( n_pl @ X645 @ X643 ) )
=> ~ $true ) )
=> ~ $true )
=> ( ( X645 = X644 )
=> ~ $true ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true ) )
=> ~ $true )
=> ~ $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)],[satz9]),c_0_35]),c_0_62]),c_0_42]),c_0_47]) ).
thf(c_0_67,plain,
! [X923: $i] :
( ( in @ X923 @ nat )
=> ! [X922: $i] :
( ( in @ X922 @ nat )
=> ( ( ! [X920: $i] :
( ( in @ X920 @ nat )
=> ( ( X922
= ( n_pl @ X923 @ X920 ) )
=> ~ $true ) )
=> ~ $true )
=> ( ( ( ! [X921: $i] :
( ( in @ X921 @ nat )
=> ( ( X922
= ( n_pl @ ( n_pl @ X923 @ n_1 ) @ X921 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( X922
= ( n_pl @ X923 @ n_1 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz25]),c_0_35]),c_0_60]),c_0_63]) ).
thf(c_0_68,plain,
! [X622: $i] :
( ( in @ X622 @ nat )
=> ( ( ordsucc @ X622 )
= ( n_pl @ n_1 @ X622 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4g]),c_0_35]),c_0_42]) ).
thf(c_0_69,plain,
! [X1403: $i] :
( ~ ( in @ X1403 @ nat )
| ( ( ordsucc @ X1403 )
= ( n_pl @ X1403 @ n_1 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
thf(c_0_70,negated_conjecture,
! [X1727: $i] :
( ( in @ esk94_0 @ nat )
& ( in @ esk95_0 @ nat )
& ( ( in @ esk96_0 @ nat )
| ~ $true )
& ( ( esk94_0
= ( n_pl @ esk95_0 @ esk96_0 ) )
| ~ $true )
& ( $true
| ~ $true )
& ( ~ ( in @ X1727 @ nat )
| ( esk94_0
!= ( n_pl @ ( n_pl @ esk95_0 @ n_1 ) @ X1727 ) )
| ~ $true
| ~ $true )
& ( $true
| ~ $true )
& ( ( n_pl @ esk95_0 @ n_1 )
!= esk94_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_65])])])])])]) ).
thf(c_0_71,plain,
! [X677: $i] :
( ( in @ X677 @ nat )
=> ! [X676: $i] :
( ( in @ X676 @ nat )
=> ( ( ( ( ! [X674: $i] :
( ( in @ X674 @ nat )
=> ( ( X677
= ( n_pl @ X676 @ X674 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( X677 = X676 ) )
=> ( ( ( ! [X675: $i] :
( ( in @ X675 @ nat )
=> ( ( X677
= ( n_pl @ X676 @ X675 ) )
=> ~ $true ) )
=> ~ $true )
=> ~ $true )
=> ( X676 = X677 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz13]),c_0_35]),c_0_63]),c_0_61]) ).
thf(c_0_72,plain,
! [X1426: $i,X1427: $i,X1430: $i,X1431: $i,X1432: $i,X1433: $i] :
( ( ( in @ ( esk35_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| ( in @ ( esk34_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( X1427
= ( n_pl @ X1426 @ ( esk35_2 @ X1426 @ X1427 ) ) )
| ~ $true
| ( in @ ( esk34_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ( in @ ( esk34_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( in @ ( esk35_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| ( X1426
= ( n_pl @ X1427 @ ( esk34_2 @ X1426 @ X1427 ) ) )
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( X1427
= ( n_pl @ X1426 @ ( esk35_2 @ X1426 @ X1427 ) ) )
| ~ $true
| ( X1426
= ( n_pl @ X1427 @ ( esk34_2 @ X1426 @ X1427 ) ) )
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ( X1426
= ( n_pl @ X1427 @ ( esk34_2 @ X1426 @ X1427 ) ) )
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( in @ ( esk35_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| $true
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( X1427
= ( n_pl @ X1426 @ ( esk35_2 @ X1426 @ X1427 ) ) )
| ~ $true
| $true
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( in @ ( esk35_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( X1427
= ( n_pl @ X1426 @ ( esk35_2 @ X1426 @ X1427 ) ) )
| ~ $true
| $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| $true
| ( X1426 = X1427 )
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( in @ ( esk35_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| ( in @ ( esk34_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( X1427
= ( n_pl @ X1426 @ ( esk35_2 @ X1426 @ X1427 ) ) )
| ~ $true
| ( in @ ( esk34_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ( in @ ( esk34_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( in @ ( esk35_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| ( X1426
= ( n_pl @ X1427 @ ( esk34_2 @ X1426 @ X1427 ) ) )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( X1427
= ( n_pl @ X1426 @ ( esk35_2 @ X1426 @ X1427 ) ) )
| ~ $true
| ( X1426
= ( n_pl @ X1427 @ ( esk34_2 @ X1426 @ X1427 ) ) )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ( X1426
= ( n_pl @ X1427 @ ( esk34_2 @ X1426 @ X1427 ) ) )
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( in @ ( esk35_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( X1427
= ( n_pl @ X1426 @ ( esk35_2 @ X1426 @ X1427 ) ) )
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( in @ ( esk35_2 @ X1426 @ X1427 ) @ nat )
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ( X1427
= ( n_pl @ X1426 @ ( esk35_2 @ X1426 @ X1427 ) ) )
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| $true
| $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ~ ( in @ X1430 @ nat )
| ( X1426
!= ( n_pl @ X1427 @ X1430 ) )
| ~ $true
| ~ $true
| ( X1426 != X1427 )
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ( X1426 != X1427 )
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ~ ( in @ X1432 @ nat )
| ( X1427
!= ( n_pl @ X1426 @ X1432 ) )
| ~ $true
| ~ $true
| ~ ( in @ X1431 @ nat )
| ( X1426
!= ( n_pl @ X1427 @ X1431 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ~ ( in @ X1431 @ nat )
| ( X1426
!= ( n_pl @ X1427 @ X1431 ) )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ~ ( in @ X1432 @ nat )
| ( X1427
!= ( n_pl @ X1426 @ X1432 ) )
| ~ $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( ~ ( in @ X1433 @ nat )
| ( X1427
!= ( n_pl @ X1426 @ X1433 ) )
| ~ $true
| ( X1426 != X1427 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ( X1426 != X1427 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) )
& ( $true
| ~ $true
| ~ ( in @ X1427 @ nat )
| ~ ( in @ X1426 @ nat ) ) ),
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_66])])])])])]) ).
thf(c_0_73,plain,
! [X1716: $i,X1717: $i,X1718: $i] :
( ( ( in @ ( esk92_2 @ X1716 @ X1717 ) @ nat )
| ~ $true
| ( X1717
= ( n_pl @ X1716 @ n_1 ) )
| ~ ( in @ X1718 @ nat )
| ( X1717
!= ( n_pl @ X1716 @ X1718 ) )
| ~ $true
| ~ ( in @ X1717 @ nat )
| ~ ( in @ X1716 @ nat ) )
& ( ( X1717
= ( n_pl @ ( n_pl @ X1716 @ n_1 ) @ ( esk92_2 @ X1716 @ X1717 ) ) )
| ~ $true
| ( X1717
= ( n_pl @ X1716 @ n_1 ) )
| ~ ( in @ X1718 @ nat )
| ( X1717
!= ( n_pl @ X1716 @ X1718 ) )
| ~ $true
| ~ ( in @ X1717 @ nat )
| ~ ( in @ X1716 @ nat ) )
& ( $true
| ~ $true
| ( X1717
= ( n_pl @ X1716 @ n_1 ) )
| ~ ( in @ X1718 @ nat )
| ( X1717
!= ( n_pl @ X1716 @ X1718 ) )
| ~ $true
| ~ ( in @ X1717 @ nat )
| ~ ( in @ X1716 @ nat ) )
& ( $true
| ( X1717
= ( n_pl @ X1716 @ n_1 ) )
| ~ ( in @ X1718 @ nat )
| ( X1717
!= ( n_pl @ X1716 @ X1718 ) )
| ~ $true
| ~ ( in @ X1717 @ nat )
| ~ ( in @ X1716 @ nat ) )
& ( ( in @ ( esk92_2 @ X1716 @ X1717 ) @ nat )
| ~ $true
| ( X1717
= ( n_pl @ X1716 @ n_1 ) )
| $true
| ~ ( in @ X1717 @ nat )
| ~ ( in @ X1716 @ nat ) )
& ( ( X1717
= ( n_pl @ ( n_pl @ X1716 @ n_1 ) @ ( esk92_2 @ X1716 @ X1717 ) ) )
| ~ $true
| ( X1717
= ( n_pl @ X1716 @ n_1 ) )
| $true
| ~ ( in @ X1717 @ nat )
| ~ ( in @ X1716 @ nat ) )
& ( $true
| ~ $true
| ( X1717
= ( n_pl @ X1716 @ n_1 ) )
| $true
| ~ ( in @ X1717 @ nat )
| ~ ( in @ X1716 @ nat ) )
& ( $true
| ( X1717
= ( n_pl @ X1716 @ n_1 ) )
| $true
| ~ ( in @ X1717 @ nat )
| ~ ( in @ X1716 @ nat ) ) ),
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_67])])])])])]) ).
thf(c_0_74,plain,
! [X1406: $i] :
( ~ ( in @ X1406 @ nat )
| ( ( ordsucc @ X1406 )
= ( n_pl @ n_1 @ X1406 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
thf(c_0_75,plain,
! [X1: $i] :
( ( ( ordsucc @ X1 )
= ( n_pl @ X1 @ n_1 ) )
| ~ ( in @ X1 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_76,negated_conjecture,
in @ esk95_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
thf(c_0_77,plain,
! [X1470: $i,X1471: $i,X1472: $i] :
( ( ( in @ ( esk44_2 @ X1470 @ X1471 ) @ nat )
| ~ $true
| ( X1471 = X1470 )
| ~ ( in @ X1472 @ nat )
| ( X1470
!= ( n_pl @ X1471 @ X1472 ) )
| ~ $true
| ~ $true
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( ( X1470
= ( n_pl @ X1471 @ ( esk44_2 @ X1470 @ X1471 ) ) )
| ~ $true
| ( X1471 = X1470 )
| ~ ( in @ X1472 @ nat )
| ( X1470
!= ( n_pl @ X1471 @ X1472 ) )
| ~ $true
| ~ $true
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( $true
| ~ $true
| ( X1471 = X1470 )
| ~ ( in @ X1472 @ nat )
| ( X1470
!= ( n_pl @ X1471 @ X1472 ) )
| ~ $true
| ~ $true
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( $true
| ( X1471 = X1470 )
| ~ ( in @ X1472 @ nat )
| ( X1470
!= ( n_pl @ X1471 @ X1472 ) )
| ~ $true
| ~ $true
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( ( in @ ( esk44_2 @ X1470 @ X1471 ) @ nat )
| ~ $true
| ( X1471 = X1470 )
| $true
| ~ $true
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( ( X1470
= ( n_pl @ X1471 @ ( esk44_2 @ X1470 @ X1471 ) ) )
| ~ $true
| ( X1471 = X1470 )
| $true
| ~ $true
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( $true
| ~ $true
| ( X1471 = X1470 )
| $true
| ~ $true
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( $true
| ( X1471 = X1470 )
| $true
| ~ $true
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( ( in @ ( esk44_2 @ X1470 @ X1471 ) @ nat )
| ~ $true
| ( X1471 = X1470 )
| ( X1470 != X1471 )
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( ( X1470
= ( n_pl @ X1471 @ ( esk44_2 @ X1470 @ X1471 ) ) )
| ~ $true
| ( X1471 = X1470 )
| ( X1470 != X1471 )
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( $true
| ~ $true
| ( X1471 = X1470 )
| ( X1470 != X1471 )
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) )
& ( $true
| ( X1471 = X1470 )
| ( X1470 != X1471 )
| ~ ( in @ X1471 @ nat )
| ~ ( in @ X1470 @ nat ) ) ),
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_71])])])])])]) ).
thf(c_0_78,plain,
! [X1: $i,X4: $i,X5: $i] :
( ~ ( in @ X1 @ nat )
| ( X4
!= ( n_pl @ X5 @ X1 ) )
| ~ $true
| ( X5 != X4 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( in @ X4 @ nat )
| ~ ( in @ X5 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
thf(c_0_79,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( in @ ( esk92_2 @ X1 @ X4 ) @ nat )
| ( X4
= ( n_pl @ X1 @ n_1 ) )
| ~ $true
| ~ ( in @ X5 @ nat )
| ( X4
!= ( n_pl @ X1 @ X5 ) )
| ~ $true
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
thf(c_0_80,plain,
! [X1: $i] :
( ( ( ordsucc @ X1 )
= ( n_pl @ n_1 @ X1 ) )
| ~ ( in @ X1 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
thf(c_0_81,negated_conjecture,
( ( ordsucc @ esk95_0 )
= ( n_pl @ esk95_0 @ n_1 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
thf(c_0_82,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( X1
= ( n_pl @ X4 @ ( esk44_2 @ X1 @ X4 ) ) )
| ( X4 = X1 )
| ~ $true
| ~ ( in @ X5 @ nat )
| ( X1
!= ( n_pl @ X4 @ X5 ) )
| ~ $true
| ~ $true
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_83,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( X4 != X5 )
| ( X4
!= ( n_pl @ X5 @ X1 ) )
| ~ ( in @ X5 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_78]) ).
thf(c_0_84,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( in @ ( esk44_2 @ X1 @ X4 ) @ nat )
| ( X4 = X1 )
| ~ $true
| ~ ( in @ X5 @ nat )
| ( X1
!= ( n_pl @ X4 @ X5 ) )
| ~ $true
| ~ $true
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_85,negated_conjecture,
! [X1: $i] :
( ~ ( in @ X1 @ nat )
| ( esk94_0
!= ( n_pl @ ( n_pl @ esk95_0 @ n_1 ) @ X1 ) )
| ~ $true
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
thf(c_0_86,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( X4
= ( n_pl @ X1 @ n_1 ) )
| ( in @ ( esk92_2 @ X1 @ X4 ) @ nat )
| ( X4
!= ( n_pl @ X1 @ X5 ) )
| ~ ( in @ X5 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_79]) ).
thf(c_0_87,negated_conjecture,
( ( esk94_0
= ( n_pl @ esk95_0 @ esk96_0 ) )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
thf(c_0_88,negated_conjecture,
( ( in @ esk96_0 @ nat )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
thf(c_0_89,negated_conjecture,
( ( n_pl @ esk95_0 @ n_1 )
!= esk94_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
thf(c_0_90,negated_conjecture,
( ( n_pl @ esk95_0 @ n_1 )
= ( n_pl @ n_1 @ esk95_0 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_76]),c_0_81]) ).
thf(c_0_91,plain,
! [X1: $i,X5: $i,X4: $i] :
( ( X1
= ( n_pl @ ( n_pl @ X4 @ n_1 ) @ ( esk92_2 @ X4 @ X1 ) ) )
| ( X1
= ( n_pl @ X4 @ n_1 ) )
| ~ $true
| ~ ( in @ X5 @ nat )
| ( X1
!= ( n_pl @ X4 @ X5 ) )
| ~ $true
| ~ ( in @ X1 @ nat )
| ~ ( in @ X4 @ nat ) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
thf(c_0_92,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( X1 = X4 )
| ( X1
= ( n_pl @ X4 @ ( esk44_2 @ X1 @ X4 ) ) )
| ( X1
!= ( n_pl @ X4 @ X5 ) )
| ~ ( in @ X5 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_82]) ).
thf(c_0_93,plain,
! [X1: $i,X4: $i] :
( ( ( n_pl @ X1 @ X4 )
!= X1 )
| ~ ( in @ ( n_pl @ X1 @ X4 ) @ nat )
| ~ ( in @ X1 @ nat )
| ~ ( in @ X4 @ nat ) ),
inference(er,[status(thm)],[c_0_83]) ).
thf(c_0_94,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( X1 = X4 )
| ( in @ ( esk44_2 @ X1 @ X4 ) @ nat )
| ( X1
!= ( n_pl @ X4 @ X5 ) )
| ~ ( in @ X5 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_84]) ).
thf(c_0_95,negated_conjecture,
! [X1: $i] :
( ( esk94_0
!= ( n_pl @ ( n_pl @ esk95_0 @ n_1 ) @ X1 ) )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_85]) ).
thf(c_0_96,plain,
! [X4: $i,X1: $i] :
( ( ( n_pl @ X1 @ X4 )
= ( n_pl @ X1 @ n_1 ) )
| ( in @ ( esk92_2 @ X1 @ ( n_pl @ X1 @ X4 ) ) @ nat )
| ~ ( in @ ( n_pl @ X1 @ X4 ) @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(er,[status(thm)],[c_0_86]) ).
thf(c_0_97,negated_conjecture,
( esk94_0
= ( n_pl @ esk95_0 @ esk96_0 ) ),
inference(cn,[status(thm)],[c_0_87]) ).
thf(c_0_98,negated_conjecture,
in @ esk94_0 @ nat,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
thf(c_0_99,negated_conjecture,
in @ esk96_0 @ nat,
inference(cn,[status(thm)],[c_0_88]) ).
thf(c_0_100,negated_conjecture,
( ( n_pl @ n_1 @ esk95_0 )
!= esk94_0 ),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
thf(c_0_101,plain,
! [X5: $i,X4: $i,X1: $i] :
( ( X1
= ( n_pl @ X4 @ n_1 ) )
| ( X1
= ( n_pl @ ( n_pl @ X4 @ n_1 ) @ ( esk92_2 @ X4 @ X1 ) ) )
| ( X1
!= ( n_pl @ X4 @ X5 ) )
| ~ ( in @ X5 @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(cn,[status(thm)],[c_0_91]) ).
thf(c_0_102,plain,
! [X4: $i,X1: $i] :
( ( ( n_pl @ X1 @ ( esk44_2 @ ( n_pl @ X1 @ X4 ) @ X1 ) )
= ( n_pl @ X1 @ X4 ) )
| ~ ( in @ ( n_pl @ X1 @ X4 ) @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_92]),c_0_93]) ).
thf(c_0_103,plain,
! [X4: $i,X1: $i] :
( ( in @ ( esk44_2 @ ( n_pl @ X1 @ X4 ) @ X1 ) @ nat )
| ~ ( in @ ( n_pl @ X1 @ X4 ) @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_94]),c_0_93]) ).
thf(c_0_104,negated_conjecture,
! [X1: $i] :
( ( ( n_pl @ ( n_pl @ n_1 @ esk95_0 ) @ X1 )
!= esk94_0 )
| ~ ( in @ X1 @ nat ) ),
inference(rw,[status(thm)],[c_0_95,c_0_90]) ).
thf(c_0_105,negated_conjecture,
in @ ( esk92_2 @ esk95_0 @ esk94_0 ) @ nat,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_90]),c_0_98]),c_0_99]),c_0_76])]),c_0_100]) ).
thf(c_0_106,plain,
! [X4: $i,X1: $i] :
( ( ( n_pl @ ( n_pl @ X1 @ n_1 ) @ ( esk92_2 @ X1 @ ( n_pl @ X1 @ X4 ) ) )
= ( n_pl @ X1 @ X4 ) )
| ( ( n_pl @ X1 @ X4 )
= ( n_pl @ X1 @ n_1 ) )
| ~ ( in @ ( n_pl @ X1 @ X4 ) @ nat )
| ~ ( in @ X4 @ nat )
| ~ ( in @ X1 @ nat ) ),
inference(er,[status(thm)],[c_0_101]) ).
thf(c_0_107,negated_conjecture,
( ( n_pl @ esk95_0 @ ( esk44_2 @ esk94_0 @ esk95_0 ) )
= esk94_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_97]),c_0_98]),c_0_99]),c_0_76])]) ).
thf(c_0_108,negated_conjecture,
in @ ( esk44_2 @ esk94_0 @ esk95_0 ) @ nat,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_97]),c_0_98]),c_0_99]),c_0_76])]) ).
thf(c_0_109,negated_conjecture,
( ( n_pl @ ( n_pl @ n_1 @ esk95_0 ) @ ( esk92_2 @ esk95_0 @ esk94_0 ) )
!= esk94_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
thf(c_0_110,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_90]),c_0_90]),c_0_98]),c_0_108]),c_0_76])]),c_0_109]),c_0_100]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM698^4 : TPTP v8.2.0. Released v7.1.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 04:22:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.22/0.52 Running higher-order theorem proving
% 0.22/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.66 # Type mismatch in argument #1 of indeq @ ($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 $o
% 0.36/0.66 eprover: Type error
% 0.36/0.77 # Type mismatch in argument #1 of prop2 @ ($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 $o
% 0.36/0.77 eprover: Type error
% 0.36/0.79 # Type mismatch in argument #1 of prop2 @ ($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 $o
% 0.36/0.79 eprover: Type error
% 0.36/0.81 # Type mismatch in argument #1 of prop2 @ ($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 $o
% 0.36/0.81 eprover: Type error
% 0.36/0.83 # Type mismatch in argument #1 of prop2 @ ($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 $o
% 0.36/0.83 eprover: Type error
% 0.36/0.86 # Type mismatch in argument #1 of prop2 @ ($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 $o
% 0.36/0.86 eprover: Type error
% 0.36/0.89 # Type mismatch in argument #1 of prop2 @ ($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 $o
% 0.36/0.89 eprover: Type error
% 0.36/0.93 # Type mismatch in argument #1 of prop2 @ ($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
% 0.36/0.93 eprover: Type error
% 0.36/0.97 # Version: 3.1.0-ho
% 0.36/0.97 # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.36/0.97 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.97 # Starting lpo1_fix with 900s (3) cores
% 0.36/0.97 # Starting full_lambda_9 with 300s (1) cores
% 0.36/0.97 # Starting almost_fo_4 with 300s (1) cores
% 0.36/0.97 # Starting new_ho_9 with 300s (1) cores
% 0.36/0.97 # Starting pre_casc_4 with 300s (1) cores
% 0.36/0.97 # Starting ho_unfolding_6 with 300s (1) cores
% 0.36/0.97 # lpo1_fix with pid 17823 completed with status 0
% 0.36/0.97 # Result found by lpo1_fix
% 0.36/0.97 # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.36/0.97 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.97 # Starting lpo1_fix with 900s (3) cores
% 0.36/0.97 # No SInE strategy applied
% 0.36/0.97 # Search class: HGHSM-FSLM32-MHSMMSBN
% 0.36/0.97 # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 0.36/0.97 # Starting full_lambda_5 with 82s (1) cores
% 0.36/0.97 # Starting new_ho_6 with 82s (1) cores
% 0.36/0.97 # Starting pre_casc_4 with 82s (1) cores
% 0.36/0.97 # pre_casc_4 with pid 17834 completed with status 0
% 0.36/0.97 # Result found by pre_casc_4
% 0.36/0.97 # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.36/0.97 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.97 # Starting lpo1_fix with 900s (3) cores
% 0.36/0.97 # No SInE strategy applied
% 0.36/0.97 # Search class: HGHSM-FSLM32-MHSMMSBN
% 0.36/0.97 # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 0.36/0.97 # Starting full_lambda_5 with 82s (1) cores
% 0.36/0.97 # Starting new_ho_6 with 82s (1) cores
% 0.36/0.97 # Starting pre_casc_4 with 82s (1) cores
% 0.36/0.97 # Preprocessing time : 0.010 s
% 0.36/0.97 # Presaturation interreduction done
% 0.36/0.97
% 0.36/0.97 # Proof found!
% 0.36/0.97 # SZS status Theorem
% 0.36/0.97 # SZS output start CNFRefutation
% See solution above
% 0.36/0.97 # Parsed axioms : 403
% 0.36/0.97 # Removed by relevancy pruning/SinE : 0
% 0.36/0.97 # Initial clauses : 1192
% 0.36/0.97 # Removed in clause preprocessing : 733
% 0.36/0.97 # Initial clauses in saturation : 459
% 0.36/0.97 # Processed clauses : 1247
% 0.36/0.97 # ...of these trivial : 13
% 0.36/0.97 # ...subsumed : 63
% 0.36/0.97 # ...remaining for further processing : 1171
% 0.36/0.97 # Other redundant clauses eliminated : 286
% 0.36/0.97 # Clauses deleted for lack of memory : 0
% 0.36/0.97 # Backward-subsumed : 0
% 0.36/0.97 # Backward-rewritten : 22
% 0.36/0.97 # Generated clauses : 8557
% 0.36/0.97 # ...of the previous two non-redundant : 8362
% 0.36/0.97 # ...aggressively subsumed : 0
% 0.36/0.97 # Contextual simplify-reflections : 10
% 0.36/0.97 # Paramodulations : 8206
% 0.36/0.97 # Factorizations : 2
% 0.36/0.97 # NegExts : 0
% 0.36/0.97 # Equation resolutions : 292
% 0.36/0.97 # Disequality decompositions : 0
% 0.36/0.97 # Total rewrite steps : 2328
% 0.36/0.97 # ...of those cached : 2238
% 0.36/0.97 # Propositional unsat checks : 0
% 0.36/0.97 # Propositional check models : 0
% 0.36/0.97 # Propositional check unsatisfiable : 0
% 0.36/0.97 # Propositional clauses : 0
% 0.36/0.97 # Propositional clauses after purity: 0
% 0.36/0.97 # Propositional unsat core size : 0
% 0.36/0.97 # Propositional preprocessing time : 0.000
% 0.36/0.97 # Propositional encoding time : 0.000
% 0.36/0.97 # Propositional solver time : 0.000
% 0.36/0.97 # Success case prop preproc time : 0.000
% 0.36/0.97 # Success case prop encoding time : 0.000
% 0.36/0.97 # Success case prop solver time : 0.000
% 0.36/0.97 # Current number of processed clauses : 601
% 0.36/0.97 # Positive orientable unit clauses : 101
% 0.36/0.97 # Positive unorientable unit clauses: 3
% 0.36/0.97 # Negative unit clauses : 101
% 0.36/0.97 # Non-unit-clauses : 396
% 0.36/0.97 # Current number of unprocessed clauses: 7982
% 0.36/0.97 # ...number of literals in the above : 32764
% 0.36/0.97 # Current number of archived formulas : 0
% 0.36/0.97 # Current number of archived clauses : 440
% 0.36/0.97 # Clause-clause subsumption calls (NU) : 187807
% 0.36/0.97 # Rec. Clause-clause subsumption calls : 21153
% 0.36/0.97 # Non-unit clause-clause subsumptions : 50
% 0.36/0.97 # Unit Clause-clause subsumption calls : 4123
% 0.36/0.97 # Rewrite failures with RHS unbound : 0
% 0.36/0.97 # BW rewrite match attempts : 37
% 0.36/0.97 # BW rewrite match successes : 7
% 0.36/0.97 # Condensation attempts : 0
% 0.36/0.97 # Condensation successes : 0
% 0.36/0.97 # Termbank termtop insertions : 295312
% 0.36/0.97 # Search garbage collected termcells : 48669
% 0.36/0.97
% 0.36/0.97 # -------------------------------------------------
% 0.36/0.97 # User time : 0.390 s
% 0.36/0.97 # System time : 0.014 s
% 0.36/0.97 # Total time : 0.403 s
% 0.36/0.97 # Maximum resident set size: 8748 pages
% 0.36/0.97
% 0.36/0.97 # -------------------------------------------------
% 0.36/0.97 # User time : 0.963 s
% 0.36/0.97 # System time : 0.042 s
% 0.36/0.97 # Total time : 1.005 s
% 0.36/0.97 # Maximum resident set size: 2396 pages
% 0.36/0.97 % E---3.1 exiting
% 0.36/0.97 % E exiting
%------------------------------------------------------------------------------