TSTP Solution File: NUM630+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM630+1 : 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.NREy5i3XWe 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 12:42:52 EDT 2023
% Result : Theorem 1.65s 1.09s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 75 ( 31 unt; 27 typ; 0 def)
% Number of atoms : 85 ( 37 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 343 ( 23 ~; 16 |; 13 &; 283 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 15 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(xD_type,type,
xD: $i ).
thf(szDzizrdt0_type,type,
szDzizrdt0: $i > $i ).
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(xC_type,type,
xC: $i ).
thf(xQ_type,type,
xQ: $i ).
thf(xP_type,type,
xP: $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(xN_type,type,
xN: $i ).
thf(xc_type,type,
xc: $i ).
thf(sdtlbdtrb0_type,type,
sdtlbdtrb0: $i > $i > $i ).
thf(xe_type,type,
xe: $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(xd_type,type,
xd: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(xO_type,type,
xO: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xp_type,type,
xp: $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(xn_type,type,
xn: $i ).
thf(xk_type,type,
xk: $i ).
thf(sdtlcdtrc0_type,type,
sdtlcdtrc0: $i > $i > $i ).
thf(m__4151,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aFunction0 @ ( sdtlpdtrp0 @ xC @ W0 ) )
& ( ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) )
= ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) )
& ! [W1: $i] :
( ( ( aSet0 @ W1 )
& ( aElementOf0 @ W1 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @ xk ) ) )
=> ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 )
= ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) )
& ( ( szDzozmdt0 @ xC )
= szNzAzT0 )
& ( aFunction0 @ xC ) ) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) @ xk ) )
| ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ X1 ) @ X0 )
= ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ X0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X1 ) ) ) ) )
| ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4151]) ).
thf(m__,conjecture,
( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
!= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl210,plain,
( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) )
!= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__5309,axiom,
( ( ( sdtlpdtrp0 @ xe @ xn )
= xp )
& ( aElementOf0 @ xn @ szNzAzT0 )
& ( aElementOf0 @ xn @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ).
thf(zip_derived_cl203,plain,
( ( sdtlpdtrp0 @ xe @ xn )
= xp ),
inference(cnf,[status(esa)],[m__5309]) ).
thf(m__4660,axiom,
( ! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( sdtlpdtrp0 @ xe @ W0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) )
& ( ( szDzozmdt0 @ xe )
= szNzAzT0 )
& ( aFunction0 @ xe ) ) ).
thf(zip_derived_cl174,plain,
! [X0: $i] :
( ( ( sdtlpdtrp0 @ xe @ X0 )
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ X0 ) ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[m__4660]) ).
thf(zip_derived_cl2101,plain,
( ( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) )
| ~ ( aElementOf0 @ xn @ szNzAzT0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl174]) ).
thf(zip_derived_cl204,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl2103,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2101,zip_derived_cl204]) ).
thf(zip_derived_cl2107,plain,
( ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ xp ) )
!= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl2103]) ).
thf(m__5164,axiom,
( ( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
& ( aSet0 @ xP ) ) ).
thf(zip_derived_cl195,plain,
( xP
= ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
inference(cnf,[status(esa)],[m__5164]) ).
thf(m__5147,axiom,
( xp
= ( szmzizndt0 @ xQ ) ) ).
thf(zip_derived_cl194,plain,
( xp
= ( szmzizndt0 @ xQ ) ),
inference(cnf,[status(esa)],[m__5147]) ).
thf(zip_derived_cl1544,plain,
( xP
= ( sdtmndt0 @ xQ @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl194]) ).
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_cl1732,plain,
( ( ( sdtpldt0 @ xP @ xp )
= xQ )
| ~ ( aSet0 @ xQ )
| ~ ( aElementOf0 @ xp @ xQ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1544,zip_derived_cl37]) ).
thf(m__5173,axiom,
aElementOf0 @ xp @ xQ ).
thf(zip_derived_cl197,plain,
aElementOf0 @ xp @ xQ,
inference(cnf,[status(esa)],[m__5173]) ).
thf(zip_derived_cl1733,plain,
( ( ( sdtpldt0 @ xP @ xp )
= xQ )
| ~ ( aSet0 @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl1732,zip_derived_cl197]) ).
thf(mDefSub,axiom,
! [W0: $i] :
( ( aSet0 @ W0 )
=> ! [W1: $i] :
( ( aSubsetOf0 @ W1 @ W0 )
<=> ( ( aSet0 @ W1 )
& ! [W2: $i] :
( ( aElementOf0 @ W2 @ W1 )
=> ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(m__5093,axiom,
( ( xQ != slcrc0 )
& ( aSubsetOf0 @ xQ @ xO ) ) ).
thf(zip_derived_cl191,plain,
aSubsetOf0 @ xQ @ xO,
inference(cnf,[status(esa)],[m__5093]) ).
thf(zip_derived_cl1524,plain,
( ~ ( aSet0 @ xO )
| ( aSet0 @ xQ ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl191]) ).
thf(m__4891,axiom,
( ( xO
= ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
& ( aSet0 @ xO ) ) ).
thf(zip_derived_cl182,plain,
aSet0 @ xO,
inference(cnf,[status(esa)],[m__4891]) ).
thf(zip_derived_cl1525,plain,
aSet0 @ xQ,
inference(demod,[status(thm)],[zip_derived_cl1524,zip_derived_cl182]) ).
thf(zip_derived_cl2973,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1733,zip_derived_cl1525]) ).
thf(zip_derived_cl2974,plain,
( ( sdtlpdtrp0 @ xc @ xQ )
!= ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xn ) @ xP ) ),
inference(demod,[status(thm)],[zip_derived_cl2107,zip_derived_cl2973]) ).
thf(zip_derived_cl3298,plain,
( ( ( sdtlpdtrp0 @ xc @ xQ )
!= ( sdtlpdtrp0 @ xc @ ( sdtpldt0 @ xP @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) )
| ~ ( aElementOf0 @ xn @ szNzAzT0 )
| ~ ( aElementOf0 @ xP @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) @ xk ) )
| ~ ( aSet0 @ xP ) ),
inference('sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl2974]) ).
thf(zip_derived_cl2103_001,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2101,zip_derived_cl204]) ).
thf(zip_derived_cl2973_002,plain,
( ( sdtpldt0 @ xP @ xp )
= xQ ),
inference(demod,[status(thm)],[zip_derived_cl1733,zip_derived_cl1525]) ).
thf(zip_derived_cl204_003,plain,
aElementOf0 @ xn @ szNzAzT0,
inference(cnf,[status(esa)],[m__5309]) ).
thf(zip_derived_cl2103_004,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2101,zip_derived_cl204]) ).
thf(m__5585,axiom,
( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ).
thf(zip_derived_cl208,plain,
( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ),
inference(cnf,[status(esa)],[m__5585]) ).
thf(zip_derived_cl2103_005,plain,
( xp
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2101,zip_derived_cl204]) ).
thf(zip_derived_cl2106,plain,
( xD
= ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xn ) @ xp ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl2103]) ).
thf(m__5599,axiom,
aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ) ).
thf(zip_derived_cl209,plain,
aElementOf0 @ xP @ ( slbdtsldtrb0 @ xD @ xk ),
inference(cnf,[status(esa)],[m__5599]) ).
thf(zip_derived_cl196,plain,
aSet0 @ xP,
inference(cnf,[status(esa)],[m__5164]) ).
thf(zip_derived_cl3309,plain,
( ( sdtlpdtrp0 @ xc @ xQ )
!= ( sdtlpdtrp0 @ xc @ xQ ) ),
inference(demod,[status(thm)],[zip_derived_cl3298,zip_derived_cl2103,zip_derived_cl2973,zip_derived_cl204,zip_derived_cl2103,zip_derived_cl2106,zip_derived_cl209,zip_derived_cl196]) ).
thf(zip_derived_cl3310,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl3309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM630+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NREy5i3XWe true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 12:28:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.65/1.09 % Solved by fo/fo3_bce.sh.
% 1.65/1.09 % BCE start: 211
% 1.65/1.09 % BCE eliminated: 4
% 1.65/1.09 % PE start: 207
% 1.65/1.09 logic: eq
% 1.65/1.09 % PE eliminated: 0
% 1.65/1.09 % done 363 iterations in 0.330s
% 1.65/1.09 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.65/1.09 % SZS output start Refutation
% See solution above
% 1.65/1.09
% 1.65/1.09
% 1.65/1.09 % Terminating...
% 2.12/1.15 % Runner terminated.
% 2.12/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------