TSTP Solution File: NUM566+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM566+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.2aDaunzxqf true
% Computer : n031.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 12:42:25 EDT 2023
% Result : Theorem 1.13s 1.26s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 67 ( 22 unt; 18 typ; 0 def)
% Number of atoms : 143 ( 34 equ; 0 cnn)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 448 ( 45 ~; 41 |; 36 &; 309 @)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 39 !; 6 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(szDzozmdt0_type,type,
szDzozmdt0: $i > $i ).
thf(aFunction0_type,type,
aFunction0: $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(sk__29_type,type,
sk__29: $i > $i > $i ).
thf(xc_type,type,
xc: $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xT_type,type,
xT: $i ).
thf(xK_type,type,
xK: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(m__3476,axiom,
( ( aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ) )
& ( aSubsetOf0 @ slcrc0 @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ slcrc0 )
=> ( aElementOf0 @ W0 @ xS ) )
& ~ ? [W0: $i] : ( aElementOf0 @ W0 @ slcrc0 )
& ( aSet0 @ slcrc0 ) ) ).
thf(zip_derived_cl212,plain,
aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ),
inference(cnf,[status(esa)],[m__3476]) ).
thf(m__3453,axiom,
( ( aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
=> ( aElementOf0 @ W0 @ xT ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
<=> ? [W1: $i] :
( ( ( sdtlpdtrp0 @ xc @ W1 )
= W0 )
& ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xc ) ) ) )
& ( aSet0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
& ( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) )
& ! [W0: $i] :
( ( ( ( ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) ) )
| ( aSubsetOf0 @ W0 @ xS ) )
& ( ( sbrdtbr0 @ W0 )
= xK ) )
=> ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) ) )
& ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) )
=> ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( aElementOf0 @ W1 @ xS ) )
& ( aSubsetOf0 @ W0 @ xS )
& ( ( sbrdtbr0 @ W0 )
= xK ) ) ) )
& ( aFunction0 @ xc ) ) ).
thf(zip_derived_cl159,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ xK ) ),
inference(cnf,[status(esa)],[m__3453]) ).
thf(m__3462,axiom,
xK = sz00 ).
thf(zip_derived_cl207,plain,
xK = sz00,
inference(cnf,[status(esa)],[m__3462]) ).
thf(zip_derived_cl241,plain,
( ( szDzozmdt0 @ xc )
= ( slbdtsldtrb0 @ xS @ sz00 ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl207]) ).
thf(zip_derived_cl246,plain,
aElementOf0 @ slcrc0 @ ( szDzozmdt0 @ xc ),
inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl241]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xT )
| ~ ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) ) ),
inference(cnf,[status(esa)],[m__3453]) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) )
| ~ ( aElementOf0 @ X1 @ ( szDzozmdt0 @ xc ) )
| ( ( sdtlpdtrp0 @ xc @ X1 )
!= X0 ) ),
inference(cnf,[status(esa)],[m__3453]) ).
thf(zip_derived_cl889,plain,
! [X0: $i,X1: $i] :
( ( aElementOf0 @ X0 @ xT )
| ~ ( aElementOf0 @ X1 @ ( szDzozmdt0 @ xc ) )
| ( ( sdtlpdtrp0 @ xc @ X1 )
!= X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl161]) ).
thf(zip_derived_cl893,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ ( szDzozmdt0 @ xc ) )
| ( aElementOf0 @ ( sdtlpdtrp0 @ xc @ X0 ) @ xT ) ),
inference(eq_res,[status(thm)],[zip_derived_cl889]) ).
thf(zip_derived_cl894,plain,
aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT,
inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl893]) ).
thf(mSubRefl,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( aSubsetOf0 @ W0 @ W0 ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mSubRefl]) ).
thf(m__,conjecture,
? [W0: $i] :
( ? [W1: $i] :
( ! [W2: $i] :
( ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ W1 ) )
& ( aSubsetOf0 @ W2 @ W1 )
& ( ( sbrdtbr0 @ W2 )
= xK )
& ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) ) )
=> ( ( sdtlpdtrp0 @ xc @ W2 )
= W0 ) )
& ( isCountable0 @ W1 )
& ( ( aSubsetOf0 @ W1 @ xS )
| ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ xS ) )
& ( aSet0 @ W1 ) ) ) )
& ( aElementOf0 @ W0 @ xT ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ? [W1: $i] :
( ! [W2: $i] :
( ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
=> ( aElementOf0 @ W3 @ W1 ) )
& ( aSubsetOf0 @ W2 @ W1 )
& ( ( sbrdtbr0 @ W2 )
= xK )
& ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) ) )
=> ( ( sdtlpdtrp0 @ xc @ W2 )
= W0 ) )
& ( isCountable0 @ W1 )
& ( ( aSubsetOf0 @ W1 @ xS )
| ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ xS ) )
& ( aSet0 @ W1 ) ) ) )
& ( aElementOf0 @ W0 @ xT ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl223,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( ( sdtlpdtrp0 @ xc @ ( sk__29 @ X0 @ X1 ) )
!= X1 )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl452,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ~ ( isCountable0 @ xS )
| ( ( sdtlpdtrp0 @ xc @ ( sk__29 @ xS @ X0 ) )
!= X0 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl223]) ).
thf(m__3435,axiom,
( ( isCountable0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( aElementOf0 @ W0 @ szNzAzT0 ) )
& ( aSet0 @ xS ) ) ).
thf(zip_derived_cl147,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl150,plain,
isCountable0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl455,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xc @ ( sk__29 @ xS @ X0 ) )
!= X0 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl452,zip_derived_cl147,zip_derived_cl150]) ).
thf(zip_derived_cl907,plain,
( ( sdtlpdtrp0 @ xc @ ( sk__29 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) ) )
!= ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl894,zip_derived_cl455]) ).
thf(zip_derived_cl894_001,plain,
aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT,
inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl893]) ).
thf(zip_derived_cl16_002,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mSubRefl]) ).
thf(zip_derived_cl225,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( ( sbrdtbr0 @ ( sk__29 @ X0 @ X1 ) )
= xK )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl207_003,plain,
xK = sz00,
inference(cnf,[status(esa)],[m__3462]) ).
thf(zip_derived_cl255,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( ( sbrdtbr0 @ ( sk__29 @ X0 @ X1 ) )
= sz00 )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl207]) ).
thf(zip_derived_cl1383,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ~ ( isCountable0 @ xS )
| ( ( sbrdtbr0 @ ( sk__29 @ xS @ X0 ) )
= sz00 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl255]) ).
thf(zip_derived_cl147_004,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl150_005,plain,
isCountable0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl1387,plain,
! [X0: $i] :
( ( ( sbrdtbr0 @ ( sk__29 @ xS @ X0 ) )
= sz00 )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl1383,zip_derived_cl147,zip_derived_cl150]) ).
thf(zip_derived_cl1390,plain,
( ( sbrdtbr0 @ ( sk__29 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) ) )
= sz00 ),
inference('s_sup-',[status(thm)],[zip_derived_cl894,zip_derived_cl1387]) ).
thf(mCardEmpty,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ( ( ( sbrdtbr0 @ W0 )
= sz00 )
<=> ( W0 = slcrc0 ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( ( sbrdtbr0 @ X0 )
!= sz00 )
| ( X0 = slcrc0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mCardEmpty]) ).
thf(zip_derived_cl1399,plain,
( ( sz00 != sz00 )
| ( ( sk__29 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) )
= slcrc0 )
| ~ ( aSet0 @ ( sk__29 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1390,zip_derived_cl68]) ).
thf(zip_derived_cl894_006,plain,
aElementOf0 @ ( sdtlpdtrp0 @ xc @ slcrc0 ) @ xT,
inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl893]) ).
thf(zip_derived_cl16_007,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(cnf,[status(esa)],[mSubRefl]) ).
thf(zip_derived_cl228,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ xS )
| ~ ( isCountable0 @ X0 )
| ( aSet0 @ ( sk__29 @ X0 @ X1 ) )
| ~ ( aElementOf0 @ X1 @ xT ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl928,plain,
! [X0: $i] :
( ~ ( aSet0 @ xS )
| ~ ( isCountable0 @ xS )
| ( aSet0 @ ( sk__29 @ xS @ X0 ) )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl228]) ).
thf(zip_derived_cl147_008,plain,
aSet0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl150_009,plain,
isCountable0 @ xS,
inference(cnf,[status(esa)],[m__3435]) ).
thf(zip_derived_cl932,plain,
! [X0: $i] :
( ( aSet0 @ ( sk__29 @ xS @ X0 ) )
| ~ ( aElementOf0 @ X0 @ xT ) ),
inference(demod,[status(thm)],[zip_derived_cl928,zip_derived_cl147,zip_derived_cl150]) ).
thf(zip_derived_cl935,plain,
aSet0 @ ( sk__29 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl894,zip_derived_cl932]) ).
thf(zip_derived_cl1412,plain,
( ( sz00 != sz00 )
| ( ( sk__29 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) )
= slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1399,zip_derived_cl935]) ).
thf(zip_derived_cl1413,plain,
( ( sk__29 @ xS @ ( sdtlpdtrp0 @ xc @ slcrc0 ) )
= slcrc0 ),
inference(simplify,[status(thm)],[zip_derived_cl1412]) ).
thf(zip_derived_cl1419,plain,
( ( sdtlpdtrp0 @ xc @ slcrc0 )
!= ( sdtlpdtrp0 @ xc @ slcrc0 ) ),
inference(demod,[status(thm)],[zip_derived_cl907,zip_derived_cl1413]) ).
thf(zip_derived_cl1420,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM566+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2aDaunzxqf true
% 0.14/0.35 % Computer : n031.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 17:01:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.13/1.26 % Solved by fo/fo13.sh.
% 1.13/1.26 % done 321 iterations in 0.353s
% 1.13/1.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.13/1.26 % SZS output start Refutation
% See solution above
% 1.13/1.27
% 1.13/1.27
% 1.13/1.27 % Terminating...
% 4.18/1.62 % Runner terminated.
% 4.18/1.63 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------