TSTP Solution File: SEU511^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU511^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:27:51 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 86
% Syntax : Number of formulae : 110 ( 17 unt; 56 typ; 0 def)
% Number of atoms : 395 ( 65 equ; 0 cnn)
% Maximal formula atoms : 106 ( 7 avg)
% Number of connectives : 1334 ( 96 ~; 96 |; 96 &; 830 @)
% ( 49 <=>; 167 =>; 0 <=; 0 <~>)
% Maximal formula depth : 110 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 34 con; 0-3 aty)
% Number of variables : 305 ( 28 ^ 232 !; 45 ?; 305 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
in: $i > $i > $o ).
thf(decl_23,type,
exu: ( $i > $o ) > $o ).
thf(decl_24,type,
setextAx: $o ).
thf(decl_25,type,
emptyset: $i ).
thf(decl_26,type,
emptysetAx: $o ).
thf(decl_27,type,
setadjoin: $i > $i > $i ).
thf(decl_28,type,
setadjoinAx: $o ).
thf(decl_29,type,
powerset: $i > $i ).
thf(decl_30,type,
powersetAx: $o ).
thf(decl_32,type,
setunionAx: $o ).
thf(decl_33,type,
omega: $i ).
thf(decl_34,type,
omega0Ax: $o ).
thf(decl_35,type,
omegaSAx: $o ).
thf(decl_36,type,
omegaIndAx: $o ).
thf(decl_37,type,
replAx: $o ).
thf(decl_38,type,
foundationAx: $o ).
thf(decl_39,type,
wellorderingAx: $o ).
thf(decl_41,type,
descrp: $o ).
thf(decl_42,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(decl_43,type,
dsetconstrI: $o ).
thf(decl_44,type,
dsetconstrEL: $o ).
thf(decl_45,type,
dsetconstrER: $o ).
thf(decl_46,type,
exuE1: $o ).
thf(decl_47,type,
prop2set: $o > $i ).
thf(decl_48,type,
prop2setE: $o ).
thf(decl_49,type,
emptysetE: $o ).
thf(decl_50,type,
emptysetimpfalse: $o ).
thf(decl_51,type,
notinemptyset: $o ).
thf(decl_52,type,
exuE3e: $o ).
thf(decl_53,type,
setext: $o ).
thf(decl_54,type,
emptyI: $o ).
thf(decl_55,type,
noeltsimpempty: $o ).
thf(decl_56,type,
setbeta: $o ).
thf(decl_57,type,
nonempty: $i > $o ).
thf(decl_58,type,
nonemptyE1: $o ).
thf(decl_59,type,
nonemptyI: $o ).
thf(decl_60,type,
epred1_0: $o ).
thf(decl_61,type,
esk1_2: $i > $i > $i ).
thf(decl_62,type,
esk2_2: $i > $i > $i ).
thf(decl_63,type,
esk3_1: $i > $i ).
thf(decl_64,type,
esk4_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_65,type,
esk5_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_66,type,
esk6_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_67,type,
esk7_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_68,type,
esk8_1: $i > $i ).
thf(decl_69,type,
esk9_2: ( $i > $o ) > $i > $i ).
thf(decl_70,type,
esk10_1: ( $i > $o ) > $i ).
thf(decl_71,type,
esk11_2: ( $i > $o ) > $i > $i ).
thf(decl_72,type,
esk12_1: ( $i > $o ) > $i ).
thf(decl_73,type,
esk13_2: $i > $i > $i ).
thf(decl_74,type,
esk14_2: $i > $i > $i ).
thf(decl_75,type,
esk15_1: $i > $i ).
thf(decl_76,type,
esk16_1: $i > $i ).
thf(decl_77,type,
esk17_1: $i > $i ).
thf(decl_78,type,
esk18_0: $i ).
thf(decl_79,type,
esk19_0: $i ).
thf(exuE1,axiom,
( exuE1
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuE1) ).
thf(exu,axiom,
( exu
= ( ^ [X1: $i > $o] :
? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exu) ).
thf(prop2set,axiom,
( prop2set
= ( ^ [X10: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [X2: $i] : X10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2set) ).
thf(exuE3e,axiom,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exuE3e) ).
thf(nonempty,axiom,
( nonempty
= ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonempty) ).
thf(nonemptyI,axiom,
( nonemptyI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyI) ).
thf(replAx,axiom,
( replAx
<=> ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( exu
@ ^ [X3: $i] : ( X6 @ X2 @ X3 ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',replAx) ).
thf(prop2setE,axiom,
( prop2setE
<=> ! [X11: $o,X2: $i] :
( ( in @ X2 @ ( prop2set @ X11 ) )
=> X11 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop2setE) ).
thf(setbeta,axiom,
( setbeta
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
<=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setbeta) ).
thf(nonemptyE1,axiom,
( nonemptyE1
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyE1) ).
thf(dsetconstrI,axiom,
( dsetconstrI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrEL) ).
thf(dsetconstrER,axiom,
( dsetconstrER
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER) ).
thf(nonemptyI1,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( nonempty @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonemptyI1) ).
thf(wellorderingAx,axiom,
( wellorderingAx
<=> ! [X4: $i] :
? [X5: $i] :
( ! [X7: $i] :
( ( in @ X7 @ X5 )
=> ! [X2: $i] :
( ( in @ X2 @ X7 )
=> ( in @ X2 @ X4 ) ) )
& ! [X2: $i,X3: $i] :
( ( ( in @ X2 @ X4 )
& ( in @ X3 @ X4 ) )
=> ( ! [X7: $i] :
( ( in @ X7 @ X5 )
=> ( ( in @ X2 @ X7 )
<=> ( in @ X3 @ X7 ) ) )
=> ( X2 = X3 ) ) )
& ! [X7: $i,X8: $i] :
( ( ( in @ X7 @ X5 )
& ( in @ X8 @ X5 ) )
=> ( ! [X2: $i] :
( ( in @ X2 @ X7 )
=> ( in @ X2 @ X8 ) )
| ! [X2: $i] :
( ( in @ X2 @ X8 )
=> ( in @ X2 @ X7 ) ) ) )
& ! [X7: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X7 )
=> ( in @ X2 @ X4 ) )
& ? [X2: $i] : ( in @ X2 @ X7 ) )
=> ? [X8: $i,X2: $i] :
( ( in @ X8 @ X5 )
& ( in @ X2 @ X7 )
& ~ ? [X3: $i] :
( ( in @ X3 @ X8 )
& ( in @ X3 @ X7 ) )
& ! [X9: $i] :
( ( in @ X9 @ X5 )
=> ( ! [X3: $i] :
( ( in @ X3 @ X9 )
=> ( in @ X3 @ X8 ) )
| ( in @ X2 @ X9 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellorderingAx) ).
thf(emptysetE,axiom,
( emptysetE
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ! [X12: $o] : X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE) ).
thf(emptysetimpfalse,axiom,
( emptysetimpfalse
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ~ $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetimpfalse) ).
thf(setextAx,axiom,
( setextAx
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
<=> ( in @ X2 @ X5 ) )
=> ( X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextAx) ).
thf(notinemptyset,axiom,
( notinemptyset
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',notinemptyset) ).
thf(emptysetAx,axiom,
( emptysetAx
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetAx) ).
thf(setext,axiom,
( setext
<=> ! [X4: $i,X5: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( in @ X2 @ X5 ) )
=> ( ! [X2: $i] :
( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) )
=> ( X4 = X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext) ).
thf(emptyI,axiom,
( emptyI
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyI) ).
thf(setadjoinAx,axiom,
( setadjoinAx
<=> ! [X2: $i,X4: $i,X3: $i] :
( ( in @ X3 @ ( setadjoin @ X2 @ X4 ) )
<=> ( ( X3 = X2 )
| ( in @ X3 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinAx) ).
thf(noeltsimpempty,axiom,
( noeltsimpempty
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noeltsimpempty) ).
thf(powersetAx,axiom,
( powersetAx
<=> ! [X4: $i,X5: $i] :
( ( in @ X5 @ ( powerset @ X4 ) )
<=> ! [X2: $i] :
( ( in @ X2 @ X5 )
=> ( in @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetAx) ).
thf(omega0Ax,axiom,
( omega0Ax
<=> ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega0Ax) ).
thf(omegaSAx,axiom,
( omegaSAx
<=> ! [X2: $i] :
( ( in @ X2 @ omega )
=> ( in @ ( setadjoin @ X2 @ X2 ) @ omega ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaSAx) ).
thf(omegaIndAx,axiom,
( omegaIndAx
<=> ! [X4: $i] :
( ( ( in @ emptyset @ X4 )
& ! [X2: $i] :
( ( ( in @ X2 @ omega )
& ( in @ X2 @ X4 ) )
=> ( in @ ( setadjoin @ X2 @ X2 ) @ X4 ) ) )
=> ! [X2: $i] :
( ( in @ X2 @ omega )
=> ( in @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omegaIndAx) ).
thf(foundationAx,axiom,
( foundationAx
<=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ? [X5: $i] :
( ( in @ X5 @ X4 )
& ~ ? [X2: $i] :
( ( in @ X2 @ X5 )
& ( in @ X2 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',foundationAx) ).
thf(c_0_29,plain,
( exuE1
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exuE1]) ).
thf(c_0_30,plain,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_31,plain,
( prop2set
= ( ^ [Z0: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z1: $i] : Z0 ) ) ),
inference(fof_simplification,[status(thm)],[prop2set]) ).
thf(c_0_32,plain,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[exuE3e]) ).
thf(c_0_33,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_34,plain,
( nonemptyI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[nonemptyI]) ).
thf(c_0_35,plain,
( replAx
<=> ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ( exu
@ ^ [Z0: $i] : ( X6 @ X2 @ Z0 ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[replAx]) ).
thf(c_0_36,plain,
( exuE1
= ( ! [X1: $i > $o] :
( ? [X96: $i] :
( ( X1 @ X96 )
& ! [X97: $i] :
( ( X1 @ X97 )
=> ( X96 = X97 ) ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_37,axiom,
( prop2setE
= ( ! [X11: $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X11 ) )
=> X11 ) ) ),
inference(apply_def,[status(thm)],[prop2setE,c_0_31]) ).
thf(c_0_38,plain,
( exuE3e
= ( ! [X1: $i > $o] :
( ? [X98: $i] :
( ( X1 @ X98 )
& ! [X99: $i] :
( ( X1 @ X99 )
=> ( X98 = X99 ) ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_32,c_0_30]) ).
thf(c_0_39,plain,
( setbeta
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
<=> ( X1 @ X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[setbeta]) ).
thf(c_0_40,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_33]) ).
thf(c_0_41,plain,
( nonemptyI
= ( ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
!= emptyset ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_34,c_0_33]) ).
thf(c_0_42,plain,
( replAx
= ( ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ? [X94: $i] :
( ( X6 @ X2 @ X94 )
& ! [X95: $i] :
( ( X6 @ X2 @ X95 )
=> ( X94 = X95 ) ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_35,c_0_30]) ).
thf(c_0_43,plain,
( dsetconstrI
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstrI]) ).
thf(c_0_44,plain,
( dsetconstrEL
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
=> ( in @ X2 @ X4 ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstrEL]) ).
thf(c_0_45,plain,
( dsetconstrER
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) ) )
=> ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[dsetconstrER]) ).
thf(c_0_46,plain,
( epred1_0
<=> ! [X126: $i] :
? [X127: $i] :
( ! [X128: $i] :
( ( in @ X128 @ X127 )
=> ! [X129: $i] :
( ( in @ X129 @ X128 )
=> ( in @ X129 @ X126 ) ) )
& ! [X130: $i,X131: $i] :
( ( ( in @ X130 @ X126 )
& ( in @ X131 @ X126 ) )
=> ( ! [X132: $i] :
( ( in @ X132 @ X127 )
=> ( ( in @ X130 @ X132 )
<=> ( in @ X131 @ X132 ) ) )
=> ( X130 = X131 ) ) )
& ! [X133: $i,X134: $i] :
( ( ( in @ X133 @ X127 )
& ( in @ X134 @ X127 ) )
=> ( ! [X135: $i] :
( ( in @ X135 @ X133 )
=> ( in @ X135 @ X134 ) )
| ! [X136: $i] :
( ( in @ X136 @ X134 )
=> ( in @ X136 @ X133 ) ) ) )
& ! [X137: $i] :
( ( ! [X138: $i] :
( ( in @ X138 @ X137 )
=> ( in @ X138 @ X126 ) )
& ? [X139: $i] : ( in @ X139 @ X137 ) )
=> ? [X140: $i,X141: $i] :
( ( in @ X140 @ X127 )
& ( in @ X141 @ X137 )
& ~ ? [X142: $i] :
( ( in @ X142 @ X140 )
& ( in @ X142 @ X137 ) )
& ! [X143: $i] :
( ( in @ X143 @ X127 )
=> ( ! [X144: $i] :
( ( in @ X144 @ X143 )
=> ( in @ X144 @ X140 ) )
| ( in @ X141 @ X143 ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_47,negated_conjecture,
~ ( ! [X100: $i,X101: $i] :
( ! [X102: $i] :
( ( in @ X102 @ X100 )
<=> ( in @ X102 @ X101 ) )
=> ( X100 = X101 ) )
=> ( ! [X103: $i] :
~ ( in @ X103 @ emptyset )
=> ( ! [X104: $i,X105: $i,X106: $i] :
( ( in @ X106 @ ( setadjoin @ X104 @ X105 ) )
<=> ( ( X106 = X104 )
| ( in @ X106 @ X105 ) ) )
=> ( ! [X107: $i,X108: $i] :
( ( in @ X108 @ ( powerset @ X107 ) )
<=> ! [X109: $i] :
( ( in @ X109 @ X108 )
=> ( in @ X109 @ X107 ) ) )
=> ( setunionAx
=> ( ( in @ emptyset @ omega )
=> ( ! [X110: $i] :
( ( in @ X110 @ omega )
=> ( in @ ( setadjoin @ X110 @ X110 ) @ omega ) )
=> ( ! [X111: $i] :
( ( ( in @ emptyset @ X111 )
& ! [X112: $i] :
( ( ( in @ X112 @ omega )
& ( in @ X112 @ X111 ) )
=> ( in @ ( setadjoin @ X112 @ X112 ) @ X111 ) ) )
=> ! [X113: $i] :
( ( in @ X113 @ omega )
=> ( in @ X113 @ X111 ) ) )
=> ( ! [X114: $i > $i > $o,X115: $i] :
( ! [X116: $i] :
( ( in @ X116 @ X115 )
=> ? [X117: $i] :
( ( X114 @ X116 @ X117 )
& ! [X118: $i] :
( ( X114 @ X116 @ X118 )
=> ( X117 = X118 ) ) ) )
=> ? [X119: $i] :
! [X120: $i] :
( ( in @ X120 @ X119 )
<=> ? [X121: $i] :
( ( in @ X121 @ X115 )
& ( X114 @ X121 @ X120 ) ) ) )
=> ( ! [X122: $i] :
( ? [X123: $i] : ( in @ X123 @ X122 )
=> ? [X124: $i] :
( ( in @ X124 @ X122 )
& ~ ? [X125: $i] :
( ( in @ X125 @ X124 )
& ( in @ X125 @ X122 ) ) ) )
=> ( epred1_0
=> ( descrp
=> ( ! [X145: $i,X146: $i > $o,X147: $i] :
( ( in @ X147 @ X145 )
=> ( ( X146 @ X147 )
=> ( in @ X147 @ ( dsetconstr @ X145 @ X146 ) ) ) )
=> ( ! [X148: $i,X149: $i > $o,X150: $i] :
( ( in @ X150 @ ( dsetconstr @ X148 @ X149 ) )
=> ( in @ X150 @ X148 ) )
=> ( ! [X151: $i,X152: $i > $o,X153: $i] :
( ( in @ X153 @ ( dsetconstr @ X151 @ X152 ) )
=> ( X152 @ X153 ) )
=> ( ! [X154: $i > $o] :
( ? [X155: $i] :
( ( X154 @ X155 )
& ! [X156: $i] :
( ( X154 @ X156 )
=> ( X155 = X156 ) ) )
=> ? [X157: $i] :
( ( X154 @ X157 )
& ! [X158: $i] :
( ( X154 @ X158 )
=> ( X157 = X158 ) ) ) )
=> ( ! [X159: $o,X160: $i] :
( ( in @ X160
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X159 ) )
=> X159 )
=> ( ! [X161: $i] :
( ( in @ X161 @ emptyset )
=> ! [X162: $o] : X162 )
=> ( ! [X163: $i] :
( ( in @ X163 @ emptyset )
=> ~ $true )
=> ( ! [X164: $i] :
~ ( in @ X164 @ emptyset )
=> ( ! [X165: $i > $o] :
( ? [X166: $i] :
( ( X165 @ X166 )
& ! [X167: $i] :
( ( X165 @ X167 )
=> ( X166 = X167 ) ) )
=> ? [X168: $i] : ( X165 @ X168 ) )
=> ( ! [X169: $i,X170: $i] :
( ! [X171: $i] :
( ( in @ X171 @ X169 )
=> ( in @ X171 @ X170 ) )
=> ( ! [X172: $i] :
( ( in @ X172 @ X170 )
=> ( in @ X172 @ X169 ) )
=> ( X169 = X170 ) ) )
=> ( ! [X173: $i] :
( ! [X174: $i] :
~ ( in @ X174 @ X173 )
=> ( X173 = emptyset ) )
=> ( ! [X175: $i] :
( ! [X176: $i] :
~ ( in @ X176 @ X175 )
=> ( X175 = emptyset ) )
=> ( ! [X177: $i,X178: $i > $o,X179: $i] :
( ( in @ X179 @ X177 )
=> ( ( in @ X179 @ ( dsetconstr @ X177 @ X178 ) )
<=> ( X178 @ X179 ) ) )
=> ( ! [X180: $i] :
( ( X180 != emptyset )
=> ? [X181: $i] : ( in @ X181 @ X180 ) )
=> ( ! [X182: $i,X183: $i > $o,X184: $i] :
( ( in @ X184 @ X182 )
=> ( ( X183 @ X184 )
=> ( ( dsetconstr @ X182 @ X183 )
!= emptyset ) ) )
=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( X4 != emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[nonemptyI1]),wellorderingAx]),c_0_33]),c_0_36]),c_0_37]),emptysetE]),emptysetimpfalse]),setextAx]),notinemptyset]),c_0_38]),emptysetAx]),setext]),emptyI]),setadjoinAx]),noeltsimpempty]),c_0_39]),powersetAx]),c_0_40]),c_0_41]),omega0Ax]),omegaSAx]),omegaIndAx]),c_0_42]),foundationAx]),c_0_43]),c_0_44]),c_0_45])])]),c_0_46]) ).
thf(c_0_48,negated_conjecture,
! [X185: $i,X186: $i,X188: $i,X189: $i,X190: $i,X191: $i,X192: $i,X193: $i,X194: $i,X195: $i,X196: $i,X198: $i,X199: $i,X201: $i,X202: $i > $i > $o,X203: $i,X205: $i,X208: $i,X210: $i,X211: $i,X212: $i,X213: $i,X215: $i,X216: $i,X217: $i > $o,X218: $i,X219: $i,X220: $i > $o,X221: $i,X222: $i,X223: $i > $o,X224: $i,X225: $i > $o,X226: $i,X229: $i,X230: $o,X231: $i,X232: $i,X233: $o,X234: $i,X235: $i,X236: $i > $o,X237: $i,X240: $i,X241: $i,X244: $i,X246: $i,X248: $i,X249: $i > $o,X250: $i,X251: $i,X253: $i,X254: $i > $o,X255: $i] :
( ( ~ ( in @ ( esk1_2 @ X185 @ X186 ) @ X185 )
| ~ ( in @ ( esk1_2 @ X185 @ X186 ) @ X186 )
| ( X185 = X186 ) )
& ( ( in @ ( esk1_2 @ X185 @ X186 ) @ X185 )
| ( in @ ( esk1_2 @ X185 @ X186 ) @ X186 )
| ( X185 = X186 ) )
& ~ ( in @ X188 @ emptyset )
& ( ~ ( in @ X191 @ ( setadjoin @ X189 @ X190 ) )
| ( X191 = X189 )
| ( in @ X191 @ X190 ) )
& ( ( X191 != X189 )
| ( in @ X191 @ ( setadjoin @ X189 @ X190 ) ) )
& ( ~ ( in @ X191 @ X190 )
| ( in @ X191 @ ( setadjoin @ X189 @ X190 ) ) )
& ( ~ ( in @ X193 @ ( powerset @ X192 ) )
| ~ ( in @ X194 @ X193 )
| ( in @ X194 @ X192 ) )
& ( ( in @ ( esk2_2 @ X195 @ X196 ) @ X196 )
| ( in @ X196 @ ( powerset @ X195 ) ) )
& ( ~ ( in @ ( esk2_2 @ X195 @ X196 ) @ X195 )
| ( in @ X196 @ ( powerset @ X195 ) ) )
& setunionAx
& ( in @ emptyset @ omega )
& ( ~ ( in @ X198 @ omega )
| ( in @ ( setadjoin @ X198 @ X198 ) @ omega ) )
& ( ( in @ ( esk3_1 @ X199 ) @ omega )
| ~ ( in @ emptyset @ X199 )
| ~ ( in @ X201 @ omega )
| ( in @ X201 @ X199 ) )
& ( ( in @ ( esk3_1 @ X199 ) @ X199 )
| ~ ( in @ emptyset @ X199 )
| ~ ( in @ X201 @ omega )
| ( in @ X201 @ X199 ) )
& ( ~ ( in @ ( setadjoin @ ( esk3_1 @ X199 ) @ ( esk3_1 @ X199 ) ) @ X199 )
| ~ ( in @ emptyset @ X199 )
| ~ ( in @ X201 @ omega )
| ( in @ X201 @ X199 ) )
& ( ( in @ ( esk7_3 @ X202 @ X203 @ X208 ) @ X203 )
| ~ ( in @ X208 @ ( esk6_2 @ X202 @ X203 ) )
| ( in @ ( esk4_2 @ X202 @ X203 ) @ X203 ) )
& ( ( X202 @ ( esk7_3 @ X202 @ X203 @ X208 ) @ X208 )
| ~ ( in @ X208 @ ( esk6_2 @ X202 @ X203 ) )
| ( in @ ( esk4_2 @ X202 @ X203 ) @ X203 ) )
& ( ~ ( in @ X211 @ X203 )
| ~ ( X202 @ X211 @ X210 )
| ( in @ X210 @ ( esk6_2 @ X202 @ X203 ) )
| ( in @ ( esk4_2 @ X202 @ X203 ) @ X203 ) )
& ( ( in @ ( esk7_3 @ X202 @ X203 @ X208 ) @ X203 )
| ~ ( in @ X208 @ ( esk6_2 @ X202 @ X203 ) )
| ( X202 @ ( esk4_2 @ X202 @ X203 ) @ ( esk5_3 @ X202 @ X203 @ X205 ) )
| ~ ( X202 @ ( esk4_2 @ X202 @ X203 ) @ X205 ) )
& ( ( X202 @ ( esk7_3 @ X202 @ X203 @ X208 ) @ X208 )
| ~ ( in @ X208 @ ( esk6_2 @ X202 @ X203 ) )
| ( X202 @ ( esk4_2 @ X202 @ X203 ) @ ( esk5_3 @ X202 @ X203 @ X205 ) )
| ~ ( X202 @ ( esk4_2 @ X202 @ X203 ) @ X205 ) )
& ( ~ ( in @ X211 @ X203 )
| ~ ( X202 @ X211 @ X210 )
| ( in @ X210 @ ( esk6_2 @ X202 @ X203 ) )
| ( X202 @ ( esk4_2 @ X202 @ X203 ) @ ( esk5_3 @ X202 @ X203 @ X205 ) )
| ~ ( X202 @ ( esk4_2 @ X202 @ X203 ) @ X205 ) )
& ( ( in @ ( esk7_3 @ X202 @ X203 @ X208 ) @ X203 )
| ~ ( in @ X208 @ ( esk6_2 @ X202 @ X203 ) )
| ( X205
!= ( esk5_3 @ X202 @ X203 @ X205 ) )
| ~ ( X202 @ ( esk4_2 @ X202 @ X203 ) @ X205 ) )
& ( ( X202 @ ( esk7_3 @ X202 @ X203 @ X208 ) @ X208 )
| ~ ( in @ X208 @ ( esk6_2 @ X202 @ X203 ) )
| ( X205
!= ( esk5_3 @ X202 @ X203 @ X205 ) )
| ~ ( X202 @ ( esk4_2 @ X202 @ X203 ) @ X205 ) )
& ( ~ ( in @ X211 @ X203 )
| ~ ( X202 @ X211 @ X210 )
| ( in @ X210 @ ( esk6_2 @ X202 @ X203 ) )
| ( X205
!= ( esk5_3 @ X202 @ X203 @ X205 ) )
| ~ ( X202 @ ( esk4_2 @ X202 @ X203 ) @ X205 ) )
& ( ( in @ ( esk8_1 @ X212 ) @ X212 )
| ~ ( in @ X213 @ X212 ) )
& ( ~ ( in @ X215 @ ( esk8_1 @ X212 ) )
| ~ ( in @ X215 @ X212 )
| ~ ( in @ X213 @ X212 ) )
& epred1_0
& descrp
& ( ~ ( in @ X218 @ X216 )
| ~ ( X217 @ X218 )
| ( in @ X218 @ ( dsetconstr @ X216 @ X217 ) ) )
& ( ~ ( in @ X221 @ ( dsetconstr @ X219 @ X220 ) )
| ( in @ X221 @ X219 ) )
& ( ~ ( in @ X224 @ ( dsetconstr @ X222 @ X223 ) )
| ( X223 @ X224 ) )
& ( ( X225 @ ( esk10_1 @ X225 ) )
| ( X225 @ ( esk9_2 @ X225 @ X226 ) )
| ~ ( X225 @ X226 ) )
& ( ~ ( X225 @ X229 )
| ( ( esk10_1 @ X225 )
= X229 )
| ( X225 @ ( esk9_2 @ X225 @ X226 ) )
| ~ ( X225 @ X226 ) )
& ( ( X225 @ ( esk10_1 @ X225 ) )
| ( X226
!= ( esk9_2 @ X225 @ X226 ) )
| ~ ( X225 @ X226 ) )
& ( ~ ( X225 @ X229 )
| ( ( esk10_1 @ X225 )
= X229 )
| ( X226
!= ( esk9_2 @ X225 @ X226 ) )
| ~ ( X225 @ X226 ) )
& ( ~ ( in @ X231
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X230 ) )
| X230 )
& ( ~ ( in @ X232 @ emptyset )
| X233 )
& ( ~ ( in @ X234 @ emptyset )
| ~ $true )
& ~ ( in @ X235 @ emptyset )
& ( ( X236 @ ( esk11_2 @ X236 @ X237 ) )
| ~ ( X236 @ X237 )
| ( X236 @ ( esk12_1 @ X236 ) ) )
& ( ( X237
!= ( esk11_2 @ X236 @ X237 ) )
| ~ ( X236 @ X237 )
| ( X236 @ ( esk12_1 @ X236 ) ) )
& ( ( in @ ( esk14_2 @ X240 @ X241 ) @ X241 )
| ( X240 = X241 )
| ( in @ ( esk13_2 @ X240 @ X241 ) @ X240 ) )
& ( ~ ( in @ ( esk14_2 @ X240 @ X241 ) @ X240 )
| ( X240 = X241 )
| ( in @ ( esk13_2 @ X240 @ X241 ) @ X240 ) )
& ( ( in @ ( esk14_2 @ X240 @ X241 ) @ X241 )
| ( X240 = X241 )
| ~ ( in @ ( esk13_2 @ X240 @ X241 ) @ X241 ) )
& ( ~ ( in @ ( esk14_2 @ X240 @ X241 ) @ X240 )
| ( X240 = X241 )
| ~ ( in @ ( esk13_2 @ X240 @ X241 ) @ X241 ) )
& ( ( in @ ( esk15_1 @ X244 ) @ X244 )
| ( X244 = emptyset ) )
& ( ( in @ ( esk16_1 @ X246 ) @ X246 )
| ( X246 = emptyset ) )
& ( ~ ( in @ X250 @ ( dsetconstr @ X248 @ X249 ) )
| ( X249 @ X250 )
| ~ ( in @ X250 @ X248 ) )
& ( ~ ( X249 @ X250 )
| ( in @ X250 @ ( dsetconstr @ X248 @ X249 ) )
| ~ ( in @ X250 @ X248 ) )
& ( ( X251 = emptyset )
| ( in @ ( esk17_1 @ X251 ) @ X251 ) )
& ( ~ ( in @ X255 @ X253 )
| ~ ( X254 @ X255 )
| ( ( dsetconstr @ X253 @ X254 )
!= emptyset ) )
& ( in @ esk19_0 @ esk18_0 )
& ( esk18_0 = emptyset ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])])])])]) ).
thf(c_0_49,negated_conjecture,
in @ esk19_0 @ esk18_0,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_50,negated_conjecture,
esk18_0 = emptyset,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_51,negated_conjecture,
in @ esk19_0 @ emptyset,
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_52,negated_conjecture,
! [X2: $i] :
~ ( in @ X2 @ emptyset ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_51,c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU511^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 15:38:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running higher-order theorem proving
% 0.21/0.48 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
% 0.21/0.51 # Version: 3.1.0-ho
% 0.21/0.51 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.51 # Starting sh5l with 300s (1) cores
% 0.21/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51 # Starting new_bool_2 with 300s (1) cores
% 0.21/0.51 # new_bool_1 with pid 9468 completed with status 0
% 0.21/0.51 # Result found by new_bool_1
% 0.21/0.51 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.51 # Starting sh5l with 300s (1) cores
% 0.21/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51 # Search class: HGHSF-FFMM31-SHFSMSBN
% 0.21/0.51 # partial match(2): HGHSM-FFMS31-SHFSMSBN
% 0.21/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.51 # new_ho_10 with pid 9475 completed with status 0
% 0.21/0.51 # Result found by new_ho_10
% 0.21/0.51 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting new_ho_10 with 1500s (5) cores
% 0.21/0.51 # Starting sh5l with 300s (1) cores
% 0.21/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.51 # Search class: HGHSF-FFMM31-SHFSMSBN
% 0.21/0.51 # partial match(2): HGHSM-FFMS31-SHFSMSBN
% 0.21/0.51 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.51 # Preprocessing time : 0.003 s
% 0.21/0.51 # Presaturation interreduction done
% 0.21/0.51
% 0.21/0.51 # Proof found!
% 0.21/0.51 # SZS status Theorem
% 0.21/0.51 # SZS output start CNFRefutation
% See solution above
% 0.21/0.51 # Parsed axioms : 69
% 0.21/0.51 # Removed by relevancy pruning/SinE : 40
% 0.21/0.51 # Initial clauses : 66
% 0.21/0.51 # Removed in clause preprocessing : 0
% 0.21/0.51 # Initial clauses in saturation : 66
% 0.21/0.51 # Processed clauses : 7
% 0.21/0.51 # ...of these trivial : 0
% 0.21/0.51 # ...subsumed : 0
% 0.21/0.51 # ...remaining for further processing : 7
% 0.21/0.51 # Other redundant clauses eliminated : 0
% 0.21/0.51 # Clauses deleted for lack of memory : 0
% 0.21/0.51 # Backward-subsumed : 0
% 0.21/0.51 # Backward-rewritten : 0
% 0.21/0.51 # Generated clauses : 1
% 0.21/0.51 # ...of the previous two non-redundant : 0
% 0.21/0.51 # ...aggressively subsumed : 0
% 0.21/0.51 # Contextual simplify-reflections : 0
% 0.21/0.51 # Paramodulations : 0
% 0.21/0.51 # Factorizations : 0
% 0.21/0.51 # NegExts : 0
% 0.21/0.51 # Equation resolutions : 0
% 0.21/0.51 # Disequality decompositions : 0
% 0.21/0.51 # Total rewrite steps : 1
% 0.21/0.51 # ...of those cached : 0
% 0.21/0.51 # Propositional unsat checks : 0
% 0.21/0.51 # Propositional check models : 0
% 0.21/0.51 # Propositional check unsatisfiable : 0
% 0.21/0.51 # Propositional clauses : 0
% 0.21/0.51 # Propositional clauses after purity: 0
% 0.21/0.51 # Propositional unsat core size : 0
% 0.21/0.51 # Propositional preprocessing time : 0.000
% 0.21/0.51 # Propositional encoding time : 0.000
% 0.21/0.51 # Propositional solver time : 0.000
% 0.21/0.51 # Success case prop preproc time : 0.000
% 0.21/0.51 # Success case prop encoding time : 0.000
% 0.21/0.51 # Success case prop solver time : 0.000
% 0.21/0.51 # Current number of processed clauses : 6
% 0.21/0.51 # Positive orientable unit clauses : 5
% 0.21/0.51 # Positive unorientable unit clauses: 0
% 0.21/0.51 # Negative unit clauses : 1
% 0.21/0.51 # Non-unit-clauses : 0
% 0.21/0.51 # Current number of unprocessed clauses: 59
% 0.21/0.51 # ...number of literals in the above : 201
% 0.21/0.51 # Current number of archived formulas : 0
% 0.21/0.51 # Current number of archived clauses : 1
% 0.21/0.51 # Clause-clause subsumption calls (NU) : 0
% 0.21/0.51 # Rec. Clause-clause subsumption calls : 0
% 0.21/0.51 # Non-unit clause-clause subsumptions : 0
% 0.21/0.51 # Unit Clause-clause subsumption calls : 0
% 0.21/0.51 # Rewrite failures with RHS unbound : 0
% 0.21/0.51 # BW rewrite match attempts : 0
% 0.21/0.51 # BW rewrite match successes : 0
% 0.21/0.51 # Condensation attempts : 7
% 0.21/0.51 # Condensation successes : 0
% 0.21/0.51 # Termbank termtop insertions : 7700
% 0.21/0.51 # Search garbage collected termcells : 3148
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.009 s
% 0.21/0.51 # System time : 0.005 s
% 0.21/0.51 # Total time : 0.014 s
% 0.21/0.51 # Maximum resident set size: 2572 pages
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.012 s
% 0.21/0.51 # System time : 0.006 s
% 0.21/0.51 # Total time : 0.018 s
% 0.21/0.51 # Maximum resident set size: 1796 pages
% 0.21/0.51 % E---3.1 exiting
% 0.21/0.51 % E exiting
%------------------------------------------------------------------------------