TSTP Solution File: NUM612+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM612+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cjDupZYPVl true
% Computer : n002.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 : Thu Aug 31 12:42:44 EDT 2023
% Result : Theorem 1.43s 0.98s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of formulae : 73 ( 28 unt; 18 typ; 0 def)
% Number of atoms : 118 ( 25 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 306 ( 38 ~; 31 |; 16 &; 205 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(xO_type,type,
xO: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(xQ_type,type,
xQ: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(xP_type,type,
xP: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(m__5164,axiom,
( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
<=> ( ( aElement0 @ W0 )
& ( aElementOf0 @ W0 @ xQ )
& ( W0
!= ( szmzizndt0 @ xQ ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ xQ ) @ W0 ) )
& ( aSet0 @ xP ) ) ).
thf(zip_derived_cl462,plain,
( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
inference(cnf,[status(esa)],[m__5164]) ).
thf(m__5147,axiom,
( ( xp
= ( szmzizndt0 @ xQ ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( sdtlseqdt0 @ xp @ W0 ) )
& ( aElementOf0 @ xp @ xQ ) ) ).
thf(zip_derived_cl455,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl3526,plain,
( xP
= ( sdtmndt0 @ xQ @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl462,zip_derived_cl455]) ).
thf(mConsDiff,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ( sdtpldt0 @ ( sdtmndt0 @ W0 @ W1 ) @ W1 )
= W0 ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( ( sdtpldt0 @ ( sdtmndt0 @ X1 @ X0 ) @ X0 )
= X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mConsDiff]) ).
thf(zip_derived_cl3636,plain,
( ~ ( aElementOf0 @ xp @ xQ )
| ( ( sdtpldt0 @ xP @ xp )
= xQ )
| ~ ( aSet0 @ xQ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3526,zip_derived_cl37]) ).
thf(zip_derived_cl453,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5147]) ).
thf(m__5078,axiom,
( ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ xO @ xK ) )
& ( ( sbrdtbr0 @ xQ )
= xK )
& ( aSubsetOf0 @ xQ @ xO )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xQ )
=> ( aElementOf0 @ W0 @ xO ) )
& ( aSet0 @ xQ ) ) ).
thf(zip_derived_cl439,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl3637,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl3636,zip_derived_cl453,zip_derived_cl439]) ).
thf(mCardCons,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aElement0 @ W1 )
=> ( ~ ( aElementOf0 @ W1 @ W0 )
=> ( ( sbrdtbr0 @ ( sdtpldt0 @ W0 @ W1 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( aElement0 @ X0 )
| ( ( sbrdtbr0 @ ( sdtpldt0 @ X1 @ X0 ) )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ X1 ) ) )
| ( aElementOf0 @ X0 @ X1 )
| ~ ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mCardCons]) ).
thf(zip_derived_cl3956,plain,
( ~ ( aElement0 @ xp )
| ( ( sbrdtbr0 @ xQ )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) ) )
| ( aElementOf0 @ xp @ xP )
| ~ ( isFinite0 @ xP )
| ~ ( aSet0 @ xP ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3637,zip_derived_cl69]) ).
thf(zip_derived_cl453_001,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5147]) ).
thf(mEOfElem,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElement0 @ W1 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( aElement0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
thf(zip_derived_cl3469,plain,
( ( aElement0 @ xp )
| ~ ( aSet0 @ xQ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl2]) ).
thf(zip_derived_cl439_002,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl3470,plain,
aElement0 @ xp,
inference(demod,[status(thm)],[zip_derived_cl3469,zip_derived_cl439]) ).
thf(zip_derived_cl442,plain,
( ( sbrdtbr0 @ xQ )
= xK ),
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl461,plain,
! [X0: $i] :
( ( X0
!= ( szmzizndt0 @ xQ ) )
| ~ ( aElementOf0 @ X0 @ xP ) ),
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl3441,plain,
~ ( aElementOf0 @ ( szmzizndt0 @ xQ ) @ xP ),
inference(eq_res,[status(thm)],[zip_derived_cl461]) ).
thf(zip_derived_cl455_003,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl3446,plain,
~ ( aElementOf0 @ xp @ xP ),
inference(demod,[status(thm)],[zip_derived_cl3441,zip_derived_cl455]) ).
thf(mCardNum,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 )
<=> ( isFinite0 @ W0 ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
| ( isFinite0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardNum]) ).
thf(m__5195,axiom,
( ( aSubsetOf0 @ xP @ xQ )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xP )
=> ( aElementOf0 @ W0 @ xQ ) ) ) ).
thf(zip_derived_cl467,plain,
aSubsetOf0 @ xP @ xQ,
inference(cnf,[status(esa)],[m__5195]) ).
thf(mSubFSet,axiom,
! [W0: $i] :
( ( ( aSet0 @ W0 )
& ( isFinite0 @ W0 ) )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
=> ( isFinite0 @ W1 ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( isFinite0 @ X0 )
| ~ ( isFinite0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mSubFSet]) ).
thf(zip_derived_cl3485,plain,
( ( isFinite0 @ xP )
| ~ ( isFinite0 @ xQ )
| ~ ( aSet0 @ xQ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl15]) ).
thf(zip_derived_cl439_004,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl3489,plain,
( ( isFinite0 @ xP )
| ~ ( isFinite0 @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl3485,zip_derived_cl439]) ).
thf(zip_derived_cl3906,plain,
( ~ ( aSet0 @ xQ )
| ~ ( aElementOf0 @ ( sbrdtbr0 @ xQ ) @ szNzAzT0 )
| ( isFinite0 @ xP ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl3489]) ).
thf(zip_derived_cl439_005,plain,
aSet0 @ xQ,
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl442_006,plain,
( ( sbrdtbr0 @ xQ )
= xK ),
inference(cnf,[status(esa)],[m__5078]) ).
thf(m__3418,axiom,
aElementOf0 @ xK @ szNzAzT0 ).
thf(zip_derived_cl146,plain,
aElementOf0 @ xK @ szNzAzT0,
inference(cnf,[status(esa)],[m__3418]) ).
thf(zip_derived_cl3912,plain,
isFinite0 @ xP,
inference(demod,[status(thm)],[zip_derived_cl3906,zip_derived_cl439,zip_derived_cl442,zip_derived_cl146]) ).
thf(zip_derived_cl456,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl3957,plain,
( xK
= ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3956,zip_derived_cl3470,zip_derived_cl442,zip_derived_cl3446,zip_derived_cl3912,zip_derived_cl456]) ).
thf(m__,conjecture,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
= ( sbrdtbr0 @ xQ ) )
& ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
= ( sbrdtbr0 @ xQ ) )
& ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl470,plain,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
!= ( sbrdtbr0 @ xQ ) )
| ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl442_007,plain,
( ( sbrdtbr0 @ xQ )
= xK ),
inference(cnf,[status(esa)],[m__5078]) ).
thf(zip_derived_cl3435,plain,
( ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
!= xK )
| ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
inference(demod,[status(thm)],[zip_derived_cl470,zip_derived_cl442]) ).
thf(zip_derived_cl3912_008,plain,
isFinite0 @ xP,
inference(demod,[status(thm)],[zip_derived_cl3906,zip_derived_cl439,zip_derived_cl442,zip_derived_cl146]) ).
thf(zip_derived_cl65,plain,
! [X0: $i] :
( ~ ( isFinite0 @ X0 )
| ( aElementOf0 @ ( sbrdtbr0 @ X0 ) @ szNzAzT0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardNum]) ).
thf(zip_derived_cl3915,plain,
( ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
| ~ ( aSet0 @ xP ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3912,zip_derived_cl65]) ).
thf(zip_derived_cl456_009,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl3916,plain,
aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0,
inference(demod,[status(thm)],[zip_derived_cl3915,zip_derived_cl456]) ).
thf(zip_derived_cl3930,plain,
( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
!= xK ),
inference(demod,[status(thm)],[zip_derived_cl3435,zip_derived_cl3916]) ).
thf(zip_derived_cl3958,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3957,zip_derived_cl3930]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM612+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cjDupZYPVl true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 10:51:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 1.13/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.43/0.98 % Solved by fo/fo6_bce.sh.
% 1.43/0.98 % BCE start: 471
% 1.43/0.98 % BCE eliminated: 0
% 1.43/0.98 % PE start: 471
% 1.43/0.98 logic: eq
% 1.43/0.98 % PE eliminated: 62
% 1.43/0.98 % done 233 iterations in 0.236s
% 1.43/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.43/0.98 % SZS output start Refutation
% See solution above
% 1.43/0.98
% 1.43/0.98
% 1.43/0.98 % Terminating...
% 1.68/1.05 % Runner terminated.
% 1.68/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------