TSTP Solution File: NUM611+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM611+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cD2FsrFljD true
% 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 : Thu Aug 31 12:42:44 EDT 2023
% Result : Theorem 1.52s 1.05s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 81 ( 32 unt; 19 typ; 0 def)
% Number of atoms : 135 ( 35 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 336 ( 45 ~; 39 |; 16 &; 218 @)
% ( 2 <=>; 16 =>; 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 : 21 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% 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(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_cl3631,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_cl3635,plain,
( ~ ( aElementOf0 @ xp @ xQ )
| ( ( sdtpldt0 @ xP @ xp )
= xQ )
| ~ ( aSet0 @ xQ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3631,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_cl3639,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl3635,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_cl3882,plain,
( ~ ( aElement0 @ xp )
| ( ( sbrdtbr0 @ xQ )
= ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) ) )
| ( aElementOf0 @ xp @ xP )
| ~ ( isFinite0 @ xP )
| ~ ( aSet0 @ xP ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3639,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_cl3573,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_cl3574,plain,
aElement0 @ xp,
inference(demod,[status(thm)],[zip_derived_cl3573,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_cl3438,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_cl3462,plain,
~ ( aElementOf0 @ xp @ xP ),
inference(demod,[status(thm)],[zip_derived_cl3438,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_cl3483,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_cl3488,plain,
( ( isFinite0 @ xP )
| ~ ( isFinite0 @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl3483,zip_derived_cl439]) ).
thf(zip_derived_cl3857,plain,
( ~ ( aSet0 @ xQ )
| ~ ( aElementOf0 @ ( sbrdtbr0 @ xQ ) @ szNzAzT0 )
| ( isFinite0 @ xP ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl3488]) ).
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_cl3864,plain,
isFinite0 @ xP,
inference(demod,[status(thm)],[zip_derived_cl3857,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_cl3883,plain,
( xK
= ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3882,zip_derived_cl3574,zip_derived_cl442,zip_derived_cl3462,zip_derived_cl3864,zip_derived_cl456]) ).
thf(m__3533,axiom,
( ( ( szszuzczcdt0 @ xk )
= xK )
& ( aElementOf0 @ xk @ szNzAzT0 ) ) ).
thf(zip_derived_cl210,plain,
aElementOf0 @ xk @ szNzAzT0,
inference(cnf,[status(esa)],[m__3533]) ).
thf(mSuccEquSucc,axiom,
! [W0: $i,W1: $i] :
( ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( aElementOf0 @ W1 @ szNzAzT0 ) )
=> ( ( ( szszuzczcdt0 @ W0 )
= ( szszuzczcdt0 @ W1 ) )
=> ( W0 = W1 ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 )
| ( X0 = X1 )
| ( ( szszuzczcdt0 @ X0 )
!= ( szszuzczcdt0 @ X1 ) ) ),
inference(cnf,[status(esa)],[mSuccEquSucc]) ).
thf(zip_derived_cl3699,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( xk = X0 )
| ( ( szszuzczcdt0 @ xk )
!= ( szszuzczcdt0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl210,zip_derived_cl48]) ).
thf(zip_derived_cl209,plain,
( ( szszuzczcdt0 @ xk )
= xK ),
inference(cnf,[status(esa)],[m__3533]) ).
thf(zip_derived_cl3702,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ( xk = X0 )
| ( xK
!= ( szszuzczcdt0 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3699,zip_derived_cl209]) ).
thf(zip_derived_cl3915,plain,
( ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
| ( xk
= ( sbrdtbr0 @ xP ) )
| ( xK != xK ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3883,zip_derived_cl3702]) ).
thf(zip_derived_cl3922,plain,
( ( xk
= ( sbrdtbr0 @ xP ) )
| ~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3915]) ).
thf(m__,conjecture,
( ( sbrdtbr0 @ xP )
= xk ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sbrdtbr0 @ xP )
!= xk ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl470,plain,
( ( sbrdtbr0 @ xP )
!= xk ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3923,plain,
~ ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3922,zip_derived_cl470]) ).
thf(zip_derived_cl3864_007,plain,
isFinite0 @ xP,
inference(demod,[status(thm)],[zip_derived_cl3857,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_cl3867,plain,
( ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
| ~ ( aSet0 @ xP ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3864,zip_derived_cl65]) ).
thf(zip_derived_cl456_008,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl3868,plain,
aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0,
inference(demod,[status(thm)],[zip_derived_cl3867,zip_derived_cl456]) ).
thf(zip_derived_cl4022,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3923,zip_derived_cl3868]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM611+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cD2FsrFljD true
% 0.14/0.37 % Computer : n012.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri Aug 25 13:27:41 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.48/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.52/1.05 % Solved by fo/fo6_bce.sh.
% 1.52/1.05 % BCE start: 471
% 1.52/1.05 % BCE eliminated: 0
% 1.52/1.05 % PE start: 471
% 1.52/1.05 logic: eq
% 1.52/1.05 % PE eliminated: 62
% 1.52/1.05 % done 256 iterations in 0.246s
% 1.52/1.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.52/1.05 % SZS output start Refutation
% See solution above
% 1.52/1.05
% 1.52/1.05
% 1.52/1.05 % Terminating...
% 1.63/1.44 % Runner terminated.
% 1.67/1.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------