TSTP Solution File: SEU513^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU513^1 : 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 03:27:52 EDT 2024
% Result : Theorem 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 88
% Syntax : Number of formulae : 111 ( 16 unt; 56 typ; 0 def)
% Number of atoms : 405 ( 66 equ; 0 cnn)
% Maximal formula atoms : 107 ( 7 avg)
% Number of connectives : 1383 ( 99 ~; 96 |; 97 &; 869 @)
% ( 51 <=>; 171 =>; 0 <=; 0 <~>)
% Maximal formula depth : 116 ( 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 : 327 ( 39 ^ 242 !; 46 ?; 327 :)
% 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,
nonemptyI1: $o ).
thf(decl_61,type,
setadjoinIL: $o ).
thf(decl_62,type,
epred1_0: $o ).
thf(decl_63,type,
esk1_2: $i > $i > $i ).
thf(decl_64,type,
esk2_2: $i > $i > $i ).
thf(decl_65,type,
esk3_1: $i > $i ).
thf(decl_66,type,
esk4_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_67,type,
esk5_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_68,type,
esk6_2: ( $i > $i > $o ) > $i > $i ).
thf(decl_69,type,
esk7_3: ( $i > $i > $o ) > $i > $i > $i ).
thf(decl_70,type,
esk8_1: $i > $i ).
thf(decl_71,type,
esk9_2: ( $i > $o ) > $i > $i ).
thf(decl_72,type,
esk10_1: ( $i > $o ) > $i ).
thf(decl_73,type,
esk11_2: ( $i > $o ) > $i > $i ).
thf(decl_74,type,
esk12_1: ( $i > $o ) > $i ).
thf(decl_75,type,
esk13_2: $i > $i > $i ).
thf(decl_76,type,
esk14_2: $i > $i > $i ).
thf(decl_77,type,
esk15_1: $i > $i ).
thf(decl_78,type,
esk16_1: $i > $i ).
thf(decl_79,type,
esk17_1: $i > $i ).
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(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(nonempty,axiom,
( nonempty
= ( ^ [X2: $i] : ( X2 != emptyset ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',replAx) ).
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(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(nonemptyI1,axiom,
( nonemptyI1
<=> ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( nonempty @ X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonemptyI1) ).
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(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(emptyinunitempty,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
=> ( nonemptyI1
=> ( setadjoinIL
=> ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinunitempty) ).
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(setadjoinIL,axiom,
( setadjoinIL
<=> ! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL) ).
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(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(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,
( exu
= ( ^ [Z0: $i > $o] :
? [X2: $i] :
( ( Z0 @ X2 )
& ! [X3: $i] :
( ( Z0 @ X3 )
=> ( X2 = X3 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[exu]) ).
thf(c_0_34,plain,
( nonempty
= ( ^ [Z0: $i] : ( Z0 != emptyset ) ) ),
inference(fof_simplification,[status(thm)],[nonempty]) ).
thf(c_0_35,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_36,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_37,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_38,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_39,plain,
( exuE3e
= ( ! [X1: $i > $o] :
( ? [X100: $i] :
( ( X1 @ X100 )
& ! [X101: $i] :
( ( X1 @ X101 )
=> ( X100 = X101 ) ) )
=> ? [X2: $i] : ( X1 @ X2 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_40,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_41,axiom,
( nonemptyE1
= ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X2: $i] : ( in @ X2 @ X4 ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyE1,c_0_34]) ).
thf(c_0_42,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_35,c_0_34]) ).
thf(c_0_43,axiom,
( nonemptyI1
= ( ! [X4: $i] :
( ? [X2: $i] : ( in @ X2 @ X4 )
=> ( X4 != emptyset ) ) ) ),
inference(apply_def,[status(thm)],[nonemptyI1,c_0_34]) ).
thf(c_0_44,plain,
( replAx
= ( ! [X6: $i > $i > $o,X4: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X4 )
=> ? [X96: $i] :
( ( X6 @ X2 @ X96 )
& ! [X97: $i] :
( ( X6 @ X2 @ X97 )
=> ( X96 = X97 ) ) ) )
=> ? [X5: $i] :
! [X2: $i] :
( ( in @ X2 @ X5 )
<=> ? [X3: $i] :
( ( in @ X3 @ X4 )
& ( X6 @ X3 @ X2 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_36,c_0_33]) ).
thf(c_0_45,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_46,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_47,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_48,plain,
( exuE1
= ( ! [X1: $i > $o] :
( ? [X98: $i] :
( ( X1 @ X98 )
& ! [X99: $i] :
( ( X1 @ X99 )
=> ( X98 = X99 ) ) )
=> ? [X2: $i] :
( ( X1 @ X2 )
& ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 = X3 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_37,c_0_33]) ).
thf(c_0_49,plain,
( epred1_0
<=> ! [X128: $i] :
? [X129: $i] :
( ! [X130: $i] :
( ( in @ X130 @ X129 )
=> ! [X131: $i] :
( ( in @ X131 @ X130 )
=> ( in @ X131 @ X128 ) ) )
& ! [X132: $i,X133: $i] :
( ( ( in @ X132 @ X128 )
& ( in @ X133 @ X128 ) )
=> ( ! [X134: $i] :
( ( in @ X134 @ X129 )
=> ( ( in @ X132 @ X134 )
<=> ( in @ X133 @ X134 ) ) )
=> ( X132 = X133 ) ) )
& ! [X135: $i,X136: $i] :
( ( ( in @ X135 @ X129 )
& ( in @ X136 @ X129 ) )
=> ( ! [X137: $i] :
( ( in @ X137 @ X135 )
=> ( in @ X137 @ X136 ) )
| ! [X138: $i] :
( ( in @ X138 @ X136 )
=> ( in @ X138 @ X135 ) ) ) )
& ! [X139: $i] :
( ( ! [X140: $i] :
( ( in @ X140 @ X139 )
=> ( in @ X140 @ X128 ) )
& ? [X141: $i] : ( in @ X141 @ X139 ) )
=> ? [X142: $i,X143: $i] :
( ( in @ X142 @ X129 )
& ( in @ X143 @ X139 )
& ~ ? [X144: $i] :
( ( in @ X144 @ X142 )
& ( in @ X144 @ X139 ) )
& ! [X145: $i] :
( ( in @ X145 @ X129 )
=> ( ! [X146: $i] :
( ( in @ X146 @ X145 )
=> ( in @ X146 @ X142 ) )
| ( in @ X143 @ X145 ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_50,negated_conjecture,
~ ( ! [X102: $i,X103: $i] :
( ! [X104: $i] :
( ( in @ X104 @ X102 )
<=> ( in @ X104 @ X103 ) )
=> ( X102 = X103 ) )
=> ( ! [X105: $i] :
~ ( in @ X105 @ emptyset )
=> ( ! [X106: $i,X107: $i,X108: $i] :
( ( in @ X108 @ ( setadjoin @ X106 @ X107 ) )
<=> ( ( X108 = X106 )
| ( in @ X108 @ X107 ) ) )
=> ( ! [X109: $i,X110: $i] :
( ( in @ X110 @ ( powerset @ X109 ) )
<=> ! [X111: $i] :
( ( in @ X111 @ X110 )
=> ( in @ X111 @ X109 ) ) )
=> ( setunionAx
=> ( ( in @ emptyset @ omega )
=> ( ! [X112: $i] :
( ( in @ X112 @ omega )
=> ( in @ ( setadjoin @ X112 @ X112 ) @ omega ) )
=> ( ! [X113: $i] :
( ( ( in @ emptyset @ X113 )
& ! [X114: $i] :
( ( ( in @ X114 @ omega )
& ( in @ X114 @ X113 ) )
=> ( in @ ( setadjoin @ X114 @ X114 ) @ X113 ) ) )
=> ! [X115: $i] :
( ( in @ X115 @ omega )
=> ( in @ X115 @ X113 ) ) )
=> ( ! [X116: $i > $i > $o,X117: $i] :
( ! [X118: $i] :
( ( in @ X118 @ X117 )
=> ? [X119: $i] :
( ( X116 @ X118 @ X119 )
& ! [X120: $i] :
( ( X116 @ X118 @ X120 )
=> ( X119 = X120 ) ) ) )
=> ? [X121: $i] :
! [X122: $i] :
( ( in @ X122 @ X121 )
<=> ? [X123: $i] :
( ( in @ X123 @ X117 )
& ( X116 @ X123 @ X122 ) ) ) )
=> ( ! [X124: $i] :
( ? [X125: $i] : ( in @ X125 @ X124 )
=> ? [X126: $i] :
( ( in @ X126 @ X124 )
& ~ ? [X127: $i] :
( ( in @ X127 @ X126 )
& ( in @ X127 @ X124 ) ) ) )
=> ( epred1_0
=> ( descrp
=> ( ! [X147: $i,X148: $i > $o,X149: $i] :
( ( in @ X149 @ X147 )
=> ( ( X148 @ X149 )
=> ( in @ X149
@ ( dsetconstr @ X147
@ ^ [Z0: $i] : ( X148 @ Z0 ) ) ) ) )
=> ( ! [X150: $i,X151: $i > $o,X152: $i] :
( ( in @ X152
@ ( dsetconstr @ X150
@ ^ [Z0: $i] : ( X151 @ Z0 ) ) )
=> ( in @ X152 @ X150 ) )
=> ( ! [X153: $i,X154: $i > $o,X155: $i] :
( ( in @ X155
@ ( dsetconstr @ X153
@ ^ [Z0: $i] : ( X154 @ Z0 ) ) )
=> ( X154 @ X155 ) )
=> ( ! [X156: $i > $o] :
( ? [X157: $i] :
( ( X156 @ X157 )
& ! [X158: $i] :
( ( X156 @ X158 )
=> ( X157 = X158 ) ) )
=> ? [X159: $i] :
( ( X156 @ X159 )
& ! [X160: $i] :
( ( X156 @ X160 )
=> ( X159 = X160 ) ) ) )
=> ( ! [X161: $o,X162: $i] :
( ( in @ X162
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X161 ) )
=> X161 )
=> ( ! [X163: $i] :
( ( in @ X163 @ emptyset )
=> ! [X164: $o] : X164 )
=> ( ! [X165: $i] :
~ ( in @ X165 @ emptyset )
=> ( ! [X166: $i] :
~ ( in @ X166 @ emptyset )
=> ( ! [X167: $i > $o] :
( ? [X168: $i] :
( ( X167 @ X168 )
& ! [X169: $i] :
( ( X167 @ X169 )
=> ( X168 = X169 ) ) )
=> ? [X170: $i] : ( X167 @ X170 ) )
=> ( ! [X171: $i,X172: $i] :
( ! [X173: $i] :
( ( in @ X173 @ X171 )
=> ( in @ X173 @ X172 ) )
=> ( ! [X174: $i] :
( ( in @ X174 @ X172 )
=> ( in @ X174 @ X171 ) )
=> ( X171 = X172 ) ) )
=> ( ! [X175: $i] :
( ! [X176: $i] :
~ ( in @ X176 @ X175 )
=> ( X175 = emptyset ) )
=> ( ! [X177: $i] :
( ! [X178: $i] :
~ ( in @ X178 @ X177 )
=> ( X177 = emptyset ) )
=> ( ! [X179: $i,X180: $i > $o,X181: $i] :
( ( in @ X181 @ X179 )
=> ( ( in @ X181
@ ( dsetconstr @ X179
@ ^ [Z0: $i] : ( X180 @ Z0 ) ) )
<=> ( X180 @ X181 ) ) )
=> ( ! [X182: $i] :
( ( X182 != emptyset )
=> ? [X183: $i] : ( in @ X183 @ X182 ) )
=> ( ! [X184: $i,X185: $i > $o,X186: $i] :
( ( in @ X186 @ X184 )
=> ( ( X185 @ X186 )
=> ( ( dsetconstr @ X184
@ ^ [Z0: $i] : ( X185 @ Z0 ) )
!= emptyset ) ) )
=> ( ! [X187: $i] :
( ? [X188: $i] : ( in @ X188 @ X187 )
=> ( X187 != emptyset ) )
=> ( ! [X189: $i,X190: $i] : ( in @ X189 @ ( setadjoin @ X189 @ X190 ) )
=> ( in @ emptyset @ ( setadjoin @ emptyset @ 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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[emptyinunitempty]),wellorderingAx]),setadjoinIL]),c_0_38]),emptysetE]),emptysetimpfalse]),setextAx]),notinemptyset]),c_0_39]),emptysetAx]),setext]),emptyI]),setadjoinAx]),noeltsimpempty]),c_0_40]),powersetAx]),c_0_41]),c_0_42]),omega0Ax]),c_0_43]),omegaSAx]),omegaIndAx]),c_0_44]),foundationAx]),c_0_45]),c_0_46]),c_0_47]),c_0_48])]),c_0_49]) ).
thf(c_0_51,negated_conjecture,
! [X191: $i,X192: $i,X194: $i,X195: $i,X196: $i,X197: $i,X198: $i,X199: $i,X200: $i,X201: $i,X202: $i,X204: $i,X205: $i,X207: $i,X208: $i > $i > $o,X209: $i,X211: $i,X214: $i,X216: $i,X217: $i,X218: $i,X219: $i,X221: $i,X222: $i,X223: $i > $o,X224: $i,X225: $i,X226: $i > $o,X227: $i,X228: $i,X229: $i > $o,X230: $i,X231: $i > $o,X232: $i,X235: $i,X236: $o,X237: $i,X238: $i,X239: $o,X240: $i,X241: $i,X242: $i > $o,X243: $i,X246: $i,X247: $i,X250: $i,X252: $i,X254: $i,X255: $i > $o,X256: $i,X257: $i,X259: $i,X260: $i > $o,X261: $i,X262: $i,X263: $i,X264: $i,X265: $i] :
( ( ~ ( in @ ( esk1_2 @ X191 @ X192 ) @ X191 )
| ~ ( in @ ( esk1_2 @ X191 @ X192 ) @ X192 )
| ( X191 = X192 ) )
& ( ( in @ ( esk1_2 @ X191 @ X192 ) @ X191 )
| ( in @ ( esk1_2 @ X191 @ X192 ) @ X192 )
| ( X191 = X192 ) )
& ~ ( in @ X194 @ emptyset )
& ( ~ ( in @ X197 @ ( setadjoin @ X195 @ X196 ) )
| ( X197 = X195 )
| ( in @ X197 @ X196 ) )
& ( ( X197 != X195 )
| ( in @ X197 @ ( setadjoin @ X195 @ X196 ) ) )
& ( ~ ( in @ X197 @ X196 )
| ( in @ X197 @ ( setadjoin @ X195 @ X196 ) ) )
& ( ~ ( in @ X199 @ ( powerset @ X198 ) )
| ~ ( in @ X200 @ X199 )
| ( in @ X200 @ X198 ) )
& ( ( in @ ( esk2_2 @ X201 @ X202 ) @ X202 )
| ( in @ X202 @ ( powerset @ X201 ) ) )
& ( ~ ( in @ ( esk2_2 @ X201 @ X202 ) @ X201 )
| ( in @ X202 @ ( powerset @ X201 ) ) )
& setunionAx
& ( in @ emptyset @ omega )
& ( ~ ( in @ X204 @ omega )
| ( in @ ( setadjoin @ X204 @ X204 ) @ omega ) )
& ( ( in @ ( esk3_1 @ X205 ) @ omega )
| ~ ( in @ emptyset @ X205 )
| ~ ( in @ X207 @ omega )
| ( in @ X207 @ X205 ) )
& ( ( in @ ( esk3_1 @ X205 ) @ X205 )
| ~ ( in @ emptyset @ X205 )
| ~ ( in @ X207 @ omega )
| ( in @ X207 @ X205 ) )
& ( ~ ( in @ ( setadjoin @ ( esk3_1 @ X205 ) @ ( esk3_1 @ X205 ) ) @ X205 )
| ~ ( in @ emptyset @ X205 )
| ~ ( in @ X207 @ omega )
| ( in @ X207 @ X205 ) )
& ( ( in @ ( esk7_3 @ X208 @ X209 @ X214 ) @ X209 )
| ~ ( in @ X214 @ ( esk6_2 @ X208 @ X209 ) )
| ( in @ ( esk4_2 @ X208 @ X209 ) @ X209 ) )
& ( ( X208 @ ( esk7_3 @ X208 @ X209 @ X214 ) @ X214 )
| ~ ( in @ X214 @ ( esk6_2 @ X208 @ X209 ) )
| ( in @ ( esk4_2 @ X208 @ X209 ) @ X209 ) )
& ( ~ ( in @ X217 @ X209 )
| ~ ( X208 @ X217 @ X216 )
| ( in @ X216 @ ( esk6_2 @ X208 @ X209 ) )
| ( in @ ( esk4_2 @ X208 @ X209 ) @ X209 ) )
& ( ( in @ ( esk7_3 @ X208 @ X209 @ X214 ) @ X209 )
| ~ ( in @ X214 @ ( esk6_2 @ X208 @ X209 ) )
| ( X208 @ ( esk4_2 @ X208 @ X209 ) @ ( esk5_3 @ X208 @ X209 @ X211 ) )
| ~ ( X208 @ ( esk4_2 @ X208 @ X209 ) @ X211 ) )
& ( ( X208 @ ( esk7_3 @ X208 @ X209 @ X214 ) @ X214 )
| ~ ( in @ X214 @ ( esk6_2 @ X208 @ X209 ) )
| ( X208 @ ( esk4_2 @ X208 @ X209 ) @ ( esk5_3 @ X208 @ X209 @ X211 ) )
| ~ ( X208 @ ( esk4_2 @ X208 @ X209 ) @ X211 ) )
& ( ~ ( in @ X217 @ X209 )
| ~ ( X208 @ X217 @ X216 )
| ( in @ X216 @ ( esk6_2 @ X208 @ X209 ) )
| ( X208 @ ( esk4_2 @ X208 @ X209 ) @ ( esk5_3 @ X208 @ X209 @ X211 ) )
| ~ ( X208 @ ( esk4_2 @ X208 @ X209 ) @ X211 ) )
& ( ( in @ ( esk7_3 @ X208 @ X209 @ X214 ) @ X209 )
| ~ ( in @ X214 @ ( esk6_2 @ X208 @ X209 ) )
| ( X211
!= ( esk5_3 @ X208 @ X209 @ X211 ) )
| ~ ( X208 @ ( esk4_2 @ X208 @ X209 ) @ X211 ) )
& ( ( X208 @ ( esk7_3 @ X208 @ X209 @ X214 ) @ X214 )
| ~ ( in @ X214 @ ( esk6_2 @ X208 @ X209 ) )
| ( X211
!= ( esk5_3 @ X208 @ X209 @ X211 ) )
| ~ ( X208 @ ( esk4_2 @ X208 @ X209 ) @ X211 ) )
& ( ~ ( in @ X217 @ X209 )
| ~ ( X208 @ X217 @ X216 )
| ( in @ X216 @ ( esk6_2 @ X208 @ X209 ) )
| ( X211
!= ( esk5_3 @ X208 @ X209 @ X211 ) )
| ~ ( X208 @ ( esk4_2 @ X208 @ X209 ) @ X211 ) )
& ( ( in @ ( esk8_1 @ X218 ) @ X218 )
| ~ ( in @ X219 @ X218 ) )
& ( ~ ( in @ X221 @ ( esk8_1 @ X218 ) )
| ~ ( in @ X221 @ X218 )
| ~ ( in @ X219 @ X218 ) )
& epred1_0
& descrp
& ( ~ ( in @ X224 @ X222 )
| ~ ( X223 @ X224 )
| ( in @ X224
@ ( dsetconstr @ X222
@ ^ [Z0: $i] : ( X223 @ Z0 ) ) ) )
& ( ~ ( in @ X227
@ ( dsetconstr @ X225
@ ^ [Z0: $i] : ( X226 @ Z0 ) ) )
| ( in @ X227 @ X225 ) )
& ( ~ ( in @ X230
@ ( dsetconstr @ X228
@ ^ [Z0: $i] : ( X229 @ Z0 ) ) )
| ( X229 @ X230 ) )
& ( ( X231 @ ( esk10_1 @ X231 ) )
| ( X231 @ ( esk9_2 @ X231 @ X232 ) )
| ~ ( X231 @ X232 ) )
& ( ~ ( X231 @ X235 )
| ( ( esk10_1 @ X231 )
= X235 )
| ( X231 @ ( esk9_2 @ X231 @ X232 ) )
| ~ ( X231 @ X232 ) )
& ( ( X231 @ ( esk10_1 @ X231 ) )
| ( X232
!= ( esk9_2 @ X231 @ X232 ) )
| ~ ( X231 @ X232 ) )
& ( ~ ( X231 @ X235 )
| ( ( esk10_1 @ X231 )
= X235 )
| ( X232
!= ( esk9_2 @ X231 @ X232 ) )
| ~ ( X231 @ X232 ) )
& ( ~ ( in @ X237
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Z0: $i] : X236 ) )
| X236 )
& ( ~ ( in @ X238 @ emptyset )
| X239 )
& ~ ( in @ X240 @ emptyset )
& ~ ( in @ X241 @ emptyset )
& ( ( X242 @ ( esk11_2 @ X242 @ X243 ) )
| ~ ( X242 @ X243 )
| ( X242 @ ( esk12_1 @ X242 ) ) )
& ( ( X243
!= ( esk11_2 @ X242 @ X243 ) )
| ~ ( X242 @ X243 )
| ( X242 @ ( esk12_1 @ X242 ) ) )
& ( ( in @ ( esk14_2 @ X246 @ X247 ) @ X247 )
| ( X246 = X247 )
| ( in @ ( esk13_2 @ X246 @ X247 ) @ X246 ) )
& ( ~ ( in @ ( esk14_2 @ X246 @ X247 ) @ X246 )
| ( X246 = X247 )
| ( in @ ( esk13_2 @ X246 @ X247 ) @ X246 ) )
& ( ( in @ ( esk14_2 @ X246 @ X247 ) @ X247 )
| ( X246 = X247 )
| ~ ( in @ ( esk13_2 @ X246 @ X247 ) @ X247 ) )
& ( ~ ( in @ ( esk14_2 @ X246 @ X247 ) @ X246 )
| ( X246 = X247 )
| ~ ( in @ ( esk13_2 @ X246 @ X247 ) @ X247 ) )
& ( ( in @ ( esk15_1 @ X250 ) @ X250 )
| ( X250 = emptyset ) )
& ( ( in @ ( esk16_1 @ X252 ) @ X252 )
| ( X252 = emptyset ) )
& ( ~ ( in @ X256
@ ( dsetconstr @ X254
@ ^ [Z0: $i] : ( X255 @ Z0 ) ) )
| ( X255 @ X256 )
| ~ ( in @ X256 @ X254 ) )
& ( ~ ( X255 @ X256 )
| ( in @ X256
@ ( dsetconstr @ X254
@ ^ [Z0: $i] : ( X255 @ Z0 ) ) )
| ~ ( in @ X256 @ X254 ) )
& ( ( X257 = emptyset )
| ( in @ ( esk17_1 @ X257 ) @ X257 ) )
& ( ~ ( in @ X261 @ X259 )
| ~ ( X260 @ X261 )
| ( ( dsetconstr @ X259
@ ^ [Z0: $i] : ( X260 @ Z0 ) )
!= emptyset ) )
& ( ~ ( in @ X263 @ X262 )
| ( X262 != emptyset ) )
& ( in @ X264 @ ( setadjoin @ X264 @ X265 ) )
& ~ ( in @ emptyset @ ( setadjoin @ emptyset @ 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_50])])])])])]) ).
thf(c_0_52,negated_conjecture,
~ ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
thf(c_0_53,negated_conjecture,
! [X2: $i,X3: $i] : ( in @ X2 @ ( setadjoin @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
thf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU513^1 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n012.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 17:33:07 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running higher-order theorem proving
% 0.18/0.46 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
% 0.18/0.49 # Version: 3.1.0-ho
% 0.18/0.49 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.49 # Starting sh5l with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_2 with 300s (1) cores
% 0.18/0.49 # new_bool_2 with pid 9619 completed with status 0
% 0.18/0.49 # Result found by new_bool_2
% 0.18/0.49 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.49 # Starting sh5l with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_2 with 300s (1) cores
% 0.18/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 # Search class: HGHSF-FFMS31-SHFSMSBN
% 0.18/0.49 # partial match(1): HGHSM-FFMS31-SHFSMSBN
% 0.18/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 # Starting new_ho_10 with 181s (1) cores
% 0.18/0.49 # new_ho_10 with pid 9620 completed with status 0
% 0.18/0.49 # Result found by new_ho_10
% 0.18/0.49 # Preprocessing class: HSMSSLSSMLLCHFA.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.49 # Starting sh5l with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_2 with 300s (1) cores
% 0.18/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49 # Search class: HGHSF-FFMS31-SHFSMSBN
% 0.18/0.49 # partial match(1): HGHSM-FFMS31-SHFSMSBN
% 0.18/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49 # Starting new_ho_10 with 181s (1) cores
% 0.18/0.49 # Preprocessing time : 0.004 s
% 0.18/0.49 # Presaturation interreduction done
% 0.18/0.49
% 0.18/0.49 # Proof found!
% 0.18/0.49 # SZS status Theorem
% 0.18/0.49 # SZS output start CNFRefutation
% See solution above
% 0.18/0.49 # Parsed axioms : 73
% 0.18/0.49 # Removed by relevancy pruning/SinE : 42
% 0.18/0.49 # Initial clauses : 67
% 0.18/0.49 # Removed in clause preprocessing : 0
% 0.18/0.49 # Initial clauses in saturation : 67
% 0.18/0.49 # Processed clauses : 17
% 0.18/0.49 # ...of these trivial : 0
% 0.18/0.49 # ...subsumed : 4
% 0.18/0.49 # ...remaining for further processing : 13
% 0.18/0.49 # Other redundant clauses eliminated : 1
% 0.18/0.49 # Clauses deleted for lack of memory : 0
% 0.18/0.49 # Backward-subsumed : 0
% 0.18/0.49 # Backward-rewritten : 1
% 0.18/0.49 # Generated clauses : 1
% 0.18/0.49 # ...of the previous two non-redundant : 1
% 0.18/0.49 # ...aggressively subsumed : 0
% 0.18/0.49 # Contextual simplify-reflections : 0
% 0.18/0.49 # Paramodulations : 0
% 0.18/0.49 # Factorizations : 0
% 0.18/0.49 # NegExts : 0
% 0.18/0.49 # Equation resolutions : 1
% 0.18/0.49 # Disequality decompositions : 0
% 0.18/0.49 # Total rewrite steps : 1
% 0.18/0.49 # ...of those cached : 0
% 0.18/0.49 # Propositional unsat checks : 0
% 0.18/0.49 # Propositional check models : 0
% 0.18/0.49 # Propositional check unsatisfiable : 0
% 0.18/0.49 # Propositional clauses : 0
% 0.18/0.49 # Propositional clauses after purity: 0
% 0.18/0.49 # Propositional unsat core size : 0
% 0.18/0.49 # Propositional preprocessing time : 0.000
% 0.18/0.49 # Propositional encoding time : 0.000
% 0.18/0.49 # Propositional solver time : 0.000
% 0.18/0.49 # Success case prop preproc time : 0.000
% 0.18/0.49 # Success case prop encoding time : 0.000
% 0.18/0.49 # Success case prop solver time : 0.000
% 0.18/0.49 # Current number of processed clauses : 11
% 0.18/0.49 # Positive orientable unit clauses : 5
% 0.18/0.49 # Positive unorientable unit clauses: 0
% 0.18/0.49 # Negative unit clauses : 2
% 0.18/0.49 # Non-unit-clauses : 4
% 0.18/0.49 # Current number of unprocessed clauses: 51
% 0.18/0.49 # ...number of literals in the above : 189
% 0.18/0.49 # Current number of archived formulas : 0
% 0.18/0.49 # Current number of archived clauses : 1
% 0.18/0.49 # Clause-clause subsumption calls (NU) : 6
% 0.18/0.49 # Rec. Clause-clause subsumption calls : 6
% 0.18/0.49 # Non-unit clause-clause subsumptions : 0
% 0.18/0.49 # Unit Clause-clause subsumption calls : 5
% 0.18/0.49 # Rewrite failures with RHS unbound : 0
% 0.18/0.49 # BW rewrite match attempts : 1
% 0.18/0.49 # BW rewrite match successes : 1
% 0.18/0.49 # Condensation attempts : 17
% 0.18/0.49 # Condensation successes : 0
% 0.18/0.49 # Termbank termtop insertions : 7203
% 0.18/0.49 # Search garbage collected termcells : 2627
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.009 s
% 0.18/0.49 # System time : 0.005 s
% 0.18/0.49 # Total time : 0.014 s
% 0.18/0.49 # Maximum resident set size: 2560 pages
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.011 s
% 0.18/0.49 # System time : 0.008 s
% 0.18/0.49 # Total time : 0.019 s
% 0.18/0.49 # Maximum resident set size: 1804 pages
% 0.18/0.49 % E---3.1 exiting
% 0.18/0.49 % E exiting
%------------------------------------------------------------------------------