TSTP Solution File: SEU510^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU510^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 03:27:50 EDT 2024
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 85
% Syntax : Number of formulae : 109 ( 16 unt; 56 typ; 0 def)
% Number of atoms : 385 ( 61 equ; 0 cnn)
% Maximal formula atoms : 104 ( 7 avg)
% Number of connectives : 1323 ( 94 ~; 96 |; 96 &; 832 @)
% ( 47 <=>; 158 =>; 0 <=; 0 <~>)
% Maximal formula depth : 107 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 95 ( 95 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 33 con; 0-3 aty)
% Number of variables : 305 ( 37 ^ 225 !; 43 ?; 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,
epred1_0: $o ).
thf(decl_60,type,
esk1_2: $i > $i > $i ).
thf(decl_61,type,
esk2_2: $i > $i > $i ).
thf(decl_62,type,
esk3_1: $i > $i ).
thf(decl_63,type,
esk4_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_64,type,
esk5_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_65,type,
esk6_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_66,type,
esk7_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_67,type,
esk8_1: $i > $i ).
thf(decl_68,type,
esk9_2: ( $i > $o ) > $i > $i ).
thf(decl_69,type,
esk10_1: ( $i > $o ) > $i ).
thf(decl_70,type,
esk11_2: ( $i > $o ) > $i > $i ).
thf(decl_71,type,
esk12_1: ( $i > $o ) > $i ).
thf(decl_72,type,
esk13_2: $i > $i > $i ).
thf(decl_73,type,
esk14_2: $i > $i > $i ).
thf(decl_74,type,
esk15_1: $i > $i ).
thf(decl_75,type,
esk16_1: $i > $i ).
thf(decl_76,type,
esk17_1: $i > $i ).
thf(decl_77,type,
esk18_0: $i ).
thf(decl_78,type,
epred2_0: $i > $o ).
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/sandbox/benchmark/theBenchmark.p',exuE1) ).
thf(exu,axiom,
( exu
= ( ^ [X1: $i > $o] :
? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exu) ).
thf(prop2set,axiom,
( prop2set
= ( ^ [X10: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [X2: $i] : X10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2set) ).
thf(exuE3e,axiom,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [X2: $i] : ( X1 @ X2 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3e) ).
thf(nonempty,axiom,
( nonempty
= ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonempty) ).
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/sandbox/benchmark/theBenchmark.p',replAx) ).
thf(dsetconstrER,axiom,
( dsetconstrER
<=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER) ).
thf(prop2setE,axiom,
( prop2setE
<=> ! [X11: $o,X2: $i] :
( ( in @ X2 @ ( prop2set @ X11 ) )
=> X11 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',setbeta) ).
thf(nonemptyE1,axiom,
( nonemptyE1
<=> ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',dsetconstrEL) ).
thf(nonemptyI,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
=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyI) ).
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/sandbox/benchmark/theBenchmark.p',foundationAx) ).
thf(emptysetE,axiom,
( emptysetE
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ! [X12: $o] : X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
thf(emptysetimpfalse,axiom,
( emptysetimpfalse
<=> ! [X2: $i] :
( ( in @ X2 @ emptyset )
=> ~ $true ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',setextAx) ).
thf(notinemptyset,axiom,
( notinemptyset
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinemptyset) ).
thf(emptysetAx,axiom,
( emptysetAx
<=> ! [X2: $i] :
~ ( in @ X2 @ emptyset ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',setext) ).
thf(emptyI,axiom,
( emptyI
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',setadjoinAx) ).
thf(noeltsimpempty,axiom,
( noeltsimpempty
<=> ! [X4: $i] :
( ! [X2: $i] :
~ ( in @ X2 @ X4 )
=> ( X4 = emptyset ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',powersetAx) ).
thf(omega0Ax,axiom,
( omega0Ax
<=> ( in @ emptyset @ omega ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega0Ax) ).
thf(omegaSAx,axiom,
( omegaSAx
<=> ! [X2: $i] :
( ( in @ X2 @ omega )
=> ( in @ ( setadjoin @ X2 @ X2 ) @ omega ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',omegaIndAx) ).
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/sandbox/benchmark/theBenchmark.p',wellorderingAx) ).
thf(c_0_28,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_29,plain,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_30,plain,
( prop2set
= ( ^ [Z0: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z1: $i] : Z0 ) ) ),
inference(fof_simplification,[status(thm)],[prop2set]) ).
thf(c_0_31,plain,
( exuE3e
<=> ! [X1: $i > $o] :
( ( exu
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[exuE3e]) ).
thf(c_0_32,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_33,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_34,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_35,plain,
( exuE1
= ( ! [X1: $i > $o] :
( ? [X94: $i] :
( ( X1 @ X94 )
& ! [X95: $i] :
( ( X1 @ X95 )
=> ( X94 = X95 ) ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_36,axiom,
( prop2setE
= ( ! [X11: $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X11 ) )
=> X11 ) ) ),
inference(apply_def,[status(thm)],[prop2setE,c_0_30]) ).
thf(c_0_37,plain,
( exuE3e
= ( ! [X1: $i > $o] :
( ? [X96: $i] :
( ( X1 @ X96 )
& ! [X97: $i] :
( ( X1 @ X97 )
=> ( X96 = X97 ) ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_31,c_0_29]) ).
thf(c_0_38,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_39,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_32]) ).
thf(c_0_40,plain,
( replAx
= ( ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ? [X92: $i] :
( ( X6 @ X2 @ X92 )
& ! [X93: $i] :
( ( X6 @ X2 @ X93 )
=> ( X92 = X93 ) ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_33,c_0_29]) ).
thf(c_0_41,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_42,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_43,plain,
( epred1_0
<=> ! [X124: $i] :
? [X125: $i] :
( ! [X126: $i] :
( ( in @ X126 @ X125 )
=> ! [X127: $i] :
( ( in @ X127 @ X126 )
=> ( in @ X127 @ X124 ) ) )
& ! [X128: $i,X129: $i] :
( ( ( in @ X128 @ X124 )
& ( in @ X129 @ X124 ) )
=> ( ! [X130: $i] :
( ( in @ X130 @ X125 )
=> ( ( in @ X128 @ X130 )
<=> ( in @ X129 @ X130 ) ) )
=> ( X128 = X129 ) ) )
& ! [X131: $i,X132: $i] :
( ( ( in @ X131 @ X125 )
& ( in @ X132 @ X125 ) )
=> ( ! [X133: $i] :
( ( in @ X133 @ X131 )
=> ( in @ X133 @ X132 ) )
| ! [X134: $i] :
( ( in @ X134 @ X132 )
=> ( in @ X134 @ X131 ) ) ) )
& ! [X135: $i] :
( ( ! [X136: $i] :
( ( in @ X136 @ X135 )
=> ( in @ X136 @ X124 ) )
& ? [X137: $i] : ( in @ X137 @ X135 ) )
=> ? [X138: $i,X139: $i] :
( ( in @ X138 @ X125 )
& ( in @ X139 @ X135 )
& ~ ? [X140: $i] :
( ( in @ X140 @ X138 )
& ( in @ X140 @ X135 ) )
& ! [X141: $i] :
( ( in @ X141 @ X125 )
=> ( ! [X142: $i] :
( ( in @ X142 @ X141 )
=> ( in @ X142 @ X138 ) )
| ( in @ X139 @ X141 ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_44,negated_conjecture,
~ ( ! [X98: $i,X99: $i] :
( ! [X100: $i] :
( ( in @ X100 @ X98 )
<=> ( in @ X100 @ X99 ) )
=> ( X98 = X99 ) )
=> ( ! [X101: $i] :
~ ( in @ X101 @ emptyset )
=> ( ! [X102: $i,X103: $i,X104: $i] :
( ( in @ X104 @ ( setadjoin @ X102 @ X103 ) )
<=> ( ( X104 = X102 )
| ( in @ X104 @ X103 ) ) )
=> ( ! [X105: $i,X106: $i] :
( ( in @ X106 @ ( powerset @ X105 ) )
<=> ! [X107: $i] :
( ( in @ X107 @ X106 )
=> ( in @ X107 @ X105 ) ) )
=> ( setunionAx
=> ( ( in @ emptyset @ omega )
=> ( ! [X108: $i] :
( ( in @ X108 @ omega )
=> ( in @ ( setadjoin @ X108 @ X108 ) @ omega ) )
=> ( ! [X109: $i] :
( ( ( in @ emptyset @ X109 )
& ! [X110: $i] :
( ( ( in @ X110 @ omega )
& ( in @ X110 @ X109 ) )
=> ( in @ ( setadjoin @ X110 @ X110 ) @ X109 ) ) )
=> ! [X111: $i] :
( ( in @ X111 @ omega )
=> ( in @ X111 @ X109 ) ) )
=> ( ! [X112: $i > $i > $o,X113: $i] :
( ! [X114: $i] :
( ( in @ X114 @ X113 )
=> ? [X115: $i] :
( ( X112 @ X114 @ X115 )
& ! [X116: $i] :
( ( X112 @ X114 @ X116 )
=> ( X115 = X116 ) ) ) )
=> ? [X117: $i] :
! [X118: $i] :
( ( in @ X118 @ X117 )
<=> ? [X119: $i] :
( ( in @ X119 @ X113 )
& ( X112 @ X119 @ X118 ) ) ) )
=> ( ! [X120: $i] :
( ? [X121: $i] : ( in @ X121 @ X120 )
=> ? [X122: $i] :
( ( in @ X122 @ X120 )
& ~ ? [X123: $i] :
( ( in @ X123 @ X122 )
& ( in @ X123 @ X120 ) ) ) )
=> ( epred1_0
=> ( descrp
=> ( ! [X143: $i,X144: $i > $o,X145: $i] :
( ( in @ X145 @ X143 )
=> ( ( X144 @ X145 )
=> ( in @ X145
@ ( dsetconstr @ X143
@ ^ [Z0: $i] : ( X144 @ Z0 ) ) ) ) )
=> ( ! [X146: $i,X147: $i > $o,X148: $i] :
( ( in @ X148
@ ( dsetconstr @ X146
@ ^ [Z0: $i] : ( X147 @ Z0 ) ) )
=> ( in @ X148 @ X146 ) )
=> ( ! [X149: $i,X150: $i > $o,X151: $i] :
( ( in @ X151
@ ( dsetconstr @ X149
@ ^ [Z0: $i] : ( X150 @ Z0 ) ) )
=> ( X150 @ X151 ) )
=> ( ! [X152: $i > $o] :
( ? [X153: $i] :
( ( X152 @ X153 )
& ! [X154: $i] :
( ( X152 @ X154 )
=> ( X153 = X154 ) ) )
=> ? [X155: $i] :
( ( X152 @ X155 )
& ! [X156: $i] :
( ( X152 @ X156 )
=> ( X155 = X156 ) ) ) )
=> ( ! [X157: $o,X158: $i] :
( ( in @ X158
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X157 ) )
=> X157 )
=> ( ! [X159: $i] :
( ( in @ X159 @ emptyset )
=> ! [X160: $o] : X160 )
=> ( ! [X161: $i] :
~ ( in @ X161 @ emptyset )
=> ( ! [X162: $i] :
~ ( in @ X162 @ emptyset )
=> ( ! [X163: $i > $o] :
( ? [X164: $i] :
( ( X163 @ X164 )
& ! [X165: $i] :
( ( X163 @ X165 )
=> ( X164 = X165 ) ) )
=> ? [X166: $i] : ( X163 @ X166 ) )
=> ( ! [X167: $i,X168: $i] :
( ! [X169: $i] :
( ( in @ X169 @ X167 )
=> ( in @ X169 @ X168 ) )
=> ( ! [X170: $i] :
( ( in @ X170 @ X168 )
=> ( in @ X170 @ X167 ) )
=> ( X167 = X168 ) ) )
=> ( ! [X171: $i] :
( ! [X172: $i] :
~ ( in @ X172 @ X171 )
=> ( X171 = emptyset ) )
=> ( ! [X173: $i] :
( ! [X174: $i] :
~ ( in @ X174 @ X173 )
=> ( X173 = emptyset ) )
=> ( ! [X175: $i,X176: $i > $o,X177: $i] :
( ( in @ X177 @ X175 )
=> ( ( in @ X177
@ ( dsetconstr @ X175
@ ^ [Z0: $i] : ( X176 @ Z0 ) ) )
<=> ( X176 @ X177 ) ) )
=> ( ! [X178: $i] :
( ( X178 != emptyset )
=> ? [X179: $i] : ( in @ X179 @ X178 ) )
=> ! [X4: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X4 )
=> ( ( X1 @ X2 )
=> ( ( dsetconstr @ X4
@ ^ [Z0: $i] : ( X1 @ Z0 ) )
!= emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nonemptyI])]),foundationAx]),c_0_32]),c_0_34]),c_0_35]),c_0_36]),emptysetE]),emptysetimpfalse]),setextAx]),notinemptyset]),c_0_37]),emptysetAx]),setext]),emptyI]),setadjoinAx]),noeltsimpempty]),c_0_38]),powersetAx]),c_0_39]),omega0Ax]),omegaSAx]),omegaIndAx]),c_0_40]),wellorderingAx]),c_0_41]),c_0_42])]),c_0_43]) ).
thf(c_0_45,negated_conjecture,
! [X180: $i,X181: $i,X183: $i,X184: $i,X185: $i,X186: $i,X187: $i,X188: $i,X189: $i,X190: $i,X191: $i,X193: $i,X194: $i,X196: $i,X197: $i > $i > $o,X198: $i,X200: $i,X203: $i,X205: $i,X206: $i,X207: $i,X208: $i,X210: $i,X211: $i,X212: $i > $o,X213: $i,X214: $i,X215: $i > $o,X216: $i,X217: $i,X218: $i > $o,X219: $i,X220: $i > $o,X221: $i,X224: $i,X225: $o,X226: $i,X227: $i,X228: $o,X229: $i,X230: $i,X231: $i > $o,X232: $i,X235: $i,X236: $i,X239: $i,X241: $i,X243: $i,X244: $i > $o,X245: $i,X246: $i] :
( ( ~ ( in @ ( esk1_2 @ X180 @ X181 ) @ X180 )
| ~ ( in @ ( esk1_2 @ X180 @ X181 ) @ X181 )
| ( X180 = X181 ) )
& ( ( in @ ( esk1_2 @ X180 @ X181 ) @ X180 )
| ( in @ ( esk1_2 @ X180 @ X181 ) @ X181 )
| ( X180 = X181 ) )
& ~ ( in @ X183 @ emptyset )
& ( ~ ( in @ X186 @ ( setadjoin @ X184 @ X185 ) )
| ( X186 = X184 )
| ( in @ X186 @ X185 ) )
& ( ( X186 != X184 )
| ( in @ X186 @ ( setadjoin @ X184 @ X185 ) ) )
& ( ~ ( in @ X186 @ X185 )
| ( in @ X186 @ ( setadjoin @ X184 @ X185 ) ) )
& ( ~ ( in @ X188 @ ( powerset @ X187 ) )
| ~ ( in @ X189 @ X188 )
| ( in @ X189 @ X187 ) )
& ( ( in @ ( esk2_2 @ X190 @ X191 ) @ X191 )
| ( in @ X191 @ ( powerset @ X190 ) ) )
& ( ~ ( in @ ( esk2_2 @ X190 @ X191 ) @ X190 )
| ( in @ X191 @ ( powerset @ X190 ) ) )
& setunionAx
& ( in @ emptyset @ omega )
& ( ~ ( in @ X193 @ omega )
| ( in @ ( setadjoin @ X193 @ X193 ) @ omega ) )
& ( ( in @ ( esk3_1 @ X194 ) @ omega )
| ~ ( in @ emptyset @ X194 )
| ~ ( in @ X196 @ omega )
| ( in @ X196 @ X194 ) )
& ( ( in @ ( esk3_1 @ X194 ) @ X194 )
| ~ ( in @ emptyset @ X194 )
| ~ ( in @ X196 @ omega )
| ( in @ X196 @ X194 ) )
& ( ~ ( in @ ( setadjoin @ ( esk3_1 @ X194 ) @ ( esk3_1 @ X194 ) ) @ X194 )
| ~ ( in @ emptyset @ X194 )
| ~ ( in @ X196 @ omega )
| ( in @ X196 @ X194 ) )
& ( ( in @ ( esk7_3 @ X197 @ X198 @ X203 ) @ X198 )
| ~ ( in @ X203 @ ( esk6_2 @ X197 @ X198 ) )
| ( in @ ( esk4_2 @ X197 @ X198 ) @ X198 ) )
& ( ( X197 @ ( esk7_3 @ X197 @ X198 @ X203 ) @ X203 )
| ~ ( in @ X203 @ ( esk6_2 @ X197 @ X198 ) )
| ( in @ ( esk4_2 @ X197 @ X198 ) @ X198 ) )
& ( ~ ( in @ X206 @ X198 )
| ~ ( X197 @ X206 @ X205 )
| ( in @ X205 @ ( esk6_2 @ X197 @ X198 ) )
| ( in @ ( esk4_2 @ X197 @ X198 ) @ X198 ) )
& ( ( in @ ( esk7_3 @ X197 @ X198 @ X203 ) @ X198 )
| ~ ( in @ X203 @ ( esk6_2 @ X197 @ X198 ) )
| ( X197 @ ( esk4_2 @ X197 @ X198 ) @ ( esk5_3 @ X197 @ X198 @ X200 ) )
| ~ ( X197 @ ( esk4_2 @ X197 @ X198 ) @ X200 ) )
& ( ( X197 @ ( esk7_3 @ X197 @ X198 @ X203 ) @ X203 )
| ~ ( in @ X203 @ ( esk6_2 @ X197 @ X198 ) )
| ( X197 @ ( esk4_2 @ X197 @ X198 ) @ ( esk5_3 @ X197 @ X198 @ X200 ) )
| ~ ( X197 @ ( esk4_2 @ X197 @ X198 ) @ X200 ) )
& ( ~ ( in @ X206 @ X198 )
| ~ ( X197 @ X206 @ X205 )
| ( in @ X205 @ ( esk6_2 @ X197 @ X198 ) )
| ( X197 @ ( esk4_2 @ X197 @ X198 ) @ ( esk5_3 @ X197 @ X198 @ X200 ) )
| ~ ( X197 @ ( esk4_2 @ X197 @ X198 ) @ X200 ) )
& ( ( in @ ( esk7_3 @ X197 @ X198 @ X203 ) @ X198 )
| ~ ( in @ X203 @ ( esk6_2 @ X197 @ X198 ) )
| ( X200
!= ( esk5_3 @ X197 @ X198 @ X200 ) )
| ~ ( X197 @ ( esk4_2 @ X197 @ X198 ) @ X200 ) )
& ( ( X197 @ ( esk7_3 @ X197 @ X198 @ X203 ) @ X203 )
| ~ ( in @ X203 @ ( esk6_2 @ X197 @ X198 ) )
| ( X200
!= ( esk5_3 @ X197 @ X198 @ X200 ) )
| ~ ( X197 @ ( esk4_2 @ X197 @ X198 ) @ X200 ) )
& ( ~ ( in @ X206 @ X198 )
| ~ ( X197 @ X206 @ X205 )
| ( in @ X205 @ ( esk6_2 @ X197 @ X198 ) )
| ( X200
!= ( esk5_3 @ X197 @ X198 @ X200 ) )
| ~ ( X197 @ ( esk4_2 @ X197 @ X198 ) @ X200 ) )
& ( ( in @ ( esk8_1 @ X207 ) @ X207 )
| ~ ( in @ X208 @ X207 ) )
& ( ~ ( in @ X210 @ ( esk8_1 @ X207 ) )
| ~ ( in @ X210 @ X207 )
| ~ ( in @ X208 @ X207 ) )
& epred1_0
& descrp
& ( ~ ( in @ X213 @ X211 )
| ~ ( X212 @ X213 )
| ( in @ X213
@ ( dsetconstr @ X211
@ ^ [Z0: $i] : ( X212 @ Z0 ) ) ) )
& ( ~ ( in @ X216
@ ( dsetconstr @ X214
@ ^ [Z0: $i] : ( X215 @ Z0 ) ) )
| ( in @ X216 @ X214 ) )
& ( ~ ( in @ X219
@ ( dsetconstr @ X217
@ ^ [Z0: $i] : ( X218 @ Z0 ) ) )
| ( X218 @ X219 ) )
& ( ( X220 @ ( esk10_1 @ X220 ) )
| ( X220 @ ( esk9_2 @ X220 @ X221 ) )
| ~ ( X220 @ X221 ) )
& ( ~ ( X220 @ X224 )
| ( ( esk10_1 @ X220 )
= X224 )
| ( X220 @ ( esk9_2 @ X220 @ X221 ) )
| ~ ( X220 @ X221 ) )
& ( ( X220 @ ( esk10_1 @ X220 ) )
| ( X221
!= ( esk9_2 @ X220 @ X221 ) )
| ~ ( X220 @ X221 ) )
& ( ~ ( X220 @ X224 )
| ( ( esk10_1 @ X220 )
= X224 )
| ( X221
!= ( esk9_2 @ X220 @ X221 ) )
| ~ ( X220 @ X221 ) )
& ( ~ ( in @ X226
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X225 ) )
| X225 )
& ( ~ ( in @ X227 @ emptyset )
| X228 )
& ~ ( in @ X229 @ emptyset )
& ~ ( in @ X230 @ emptyset )
& ( ( X231 @ ( esk11_2 @ X231 @ X232 ) )
| ~ ( X231 @ X232 )
| ( X231 @ ( esk12_1 @ X231 ) ) )
& ( ( X232
!= ( esk11_2 @ X231 @ X232 ) )
| ~ ( X231 @ X232 )
| ( X231 @ ( esk12_1 @ X231 ) ) )
& ( ( in @ ( esk14_2 @ X235 @ X236 ) @ X236 )
| ( X235 = X236 )
| ( in @ ( esk13_2 @ X235 @ X236 ) @ X235 ) )
& ( ~ ( in @ ( esk14_2 @ X235 @ X236 ) @ X235 )
| ( X235 = X236 )
| ( in @ ( esk13_2 @ X235 @ X236 ) @ X235 ) )
& ( ( in @ ( esk14_2 @ X235 @ X236 ) @ X236 )
| ( X235 = X236 )
| ~ ( in @ ( esk13_2 @ X235 @ X236 ) @ X236 ) )
& ( ~ ( in @ ( esk14_2 @ X235 @ X236 ) @ X235 )
| ( X235 = X236 )
| ~ ( in @ ( esk13_2 @ X235 @ X236 ) @ X236 ) )
& ( ( in @ ( esk15_1 @ X239 ) @ X239 )
| ( X239 = emptyset ) )
& ( ( in @ ( esk16_1 @ X241 ) @ X241 )
| ( X241 = emptyset ) )
& ( ~ ( in @ X245
@ ( dsetconstr @ X243
@ ^ [Z0: $i] : ( X244 @ Z0 ) ) )
| ( X244 @ X245 )
| ~ ( in @ X245 @ X243 ) )
& ( ~ ( X244 @ X245 )
| ( in @ X245
@ ( dsetconstr @ X243
@ ^ [Z0: $i] : ( X244 @ Z0 ) ) )
| ~ ( in @ X245 @ X243 ) )
& ( ( X246 = emptyset )
| ( in @ ( esk17_1 @ X246 ) @ X246 ) )
& ( in @ esk19_0 @ esk18_0 )
& ( epred2_0 @ esk19_0 )
& ( ( dsetconstr @ esk18_0
@ ^ [Z0: $i] : ( epred2_0 @ Z0 ) )
= emptyset ) ),
inference(distribute,[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_44])])])])])]) ).
thf(c_0_46,negated_conjecture,
! [X1: $i > $o,X2: $i,X3: $i] :
( ( in @ X2 @ ( dsetconstr @ X3 @ X1 ) )
| ~ ( X1 @ X2 )
| ~ ( in @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_47,negated_conjecture,
( ( dsetconstr @ esk18_0 @ epred2_0 )
= emptyset ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_48,negated_conjecture,
! [X2: $i] :
~ ( in @ X2 @ emptyset ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_49,negated_conjecture,
! [X2: $i] :
( ~ ( in @ X2 @ esk18_0 )
| ~ ( epred2_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
thf(c_0_50,negated_conjecture,
in @ esk19_0 @ esk18_0,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_51,negated_conjecture,
epred2_0 @ esk19_0,
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU510^1 : TPTP v8.2.0. Released v3.7.0.
% 0.04/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 15:50:07 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 # Version: 3.1.0-ho
% 0.19/0.49 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_2 with 300s (1) cores
% 0.19/0.49 # new_bool_2 with pid 16456 completed with status 0
% 0.19/0.49 # Result found by new_bool_2
% 0.19/0.49 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_2 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: HGHSF-FFMM31-SHSSMSBN
% 0.19/0.49 # partial match(1): HGHSM-FFMM31-SHSSMSBN
% 0.19/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting new_ho_10 with 181s (1) cores
% 0.19/0.49 # new_ho_10 with pid 16457 completed with status 0
% 0.19/0.49 # Result found by new_ho_10
% 0.19/0.49 # Preprocessing class: HSMSSLSSMLLCHSA.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_2 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: HGHSF-FFMM31-SHSSMSBN
% 0.19/0.49 # partial match(1): HGHSM-FFMM31-SHSSMSBN
% 0.19/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting new_ho_10 with 181s (1) cores
% 0.19/0.49 # Preprocessing time : 0.003 s
% 0.19/0.49 # Presaturation interreduction done
% 0.19/0.49
% 0.19/0.49 # Proof found!
% 0.19/0.49 # SZS status Theorem
% 0.19/0.49 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 67
% 0.19/0.49 # Removed by relevancy pruning/SinE : 39
% 0.19/0.49 # Initial clauses : 66
% 0.19/0.49 # Removed in clause preprocessing : 0
% 0.19/0.49 # Initial clauses in saturation : 66
% 0.19/0.49 # Processed clauses : 107
% 0.19/0.49 # ...of these trivial : 0
% 0.19/0.49 # ...subsumed : 8
% 0.19/0.49 # ...remaining for further processing : 99
% 0.19/0.49 # Other redundant clauses eliminated : 1
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 0
% 0.19/0.49 # Backward-rewritten : 1
% 0.19/0.49 # Generated clauses : 75
% 0.19/0.49 # ...of the previous two non-redundant : 63
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 0
% 0.19/0.49 # Paramodulations : 74
% 0.19/0.49 # Factorizations : 0
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 1
% 0.19/0.49 # Disequality decompositions : 0
% 0.19/0.49 # Total rewrite steps : 17
% 0.19/0.49 # ...of those cached : 12
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 36
% 0.19/0.49 # Positive orientable unit clauses : 13
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 1
% 0.19/0.49 # Non-unit-clauses : 22
% 0.19/0.49 # Current number of unprocessed clauses: 82
% 0.19/0.49 # ...number of literals in the above : 250
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 62
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 1369
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 550
% 0.19/0.49 # Non-unit clause-clause subsumptions : 5
% 0.19/0.49 # Unit Clause-clause subsumption calls : 21
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 5
% 0.19/0.49 # BW rewrite match successes : 1
% 0.19/0.49 # Condensation attempts : 107
% 0.19/0.49 # Condensation successes : 3
% 0.19/0.49 # Termbank termtop insertions : 9497
% 0.19/0.49 # Search garbage collected termcells : 2597
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.018 s
% 0.19/0.49 # System time : 0.002 s
% 0.19/0.49 # Total time : 0.020 s
% 0.19/0.49 # Maximum resident set size: 2524 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.020 s
% 0.19/0.49 # System time : 0.004 s
% 0.19/0.49 # Total time : 0.025 s
% 0.19/0.49 # Maximum resident set size: 1800 pages
% 0.19/0.49 % E---3.1 exiting
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------