TSTP Solution File: NUM545+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM545+2 : 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.s1dEP6hxRO true
% Computer : n013.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 12:42:15 EDT 2023
% Result : Theorem 1.38s 0.80s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 33
% Syntax : Number of formulae : 77 ( 15 unt; 20 typ; 0 def)
% Number of atoms : 156 ( 17 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 437 ( 54 ~; 49 |; 27 &; 284 @)
% ( 6 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 45 !; 5 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(sz00_type,type,
sz00: $i ).
thf(szszuzczcdt0_type,type,
szszuzczcdt0: $i > $i ).
thf(isCountable0_type,type,
isCountable0: $i > $o ).
thf(slbdtrb0_type,type,
slbdtrb0: $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $o ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(xS_type,type,
xS: $i ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(isFinite0_type,type,
isFinite0: $i > $o ).
thf(slcrc0_type,type,
slcrc0: $i ).
thf(szmzazxdt0_type,type,
szmzazxdt0: $i > $i ).
thf(szNzAzT0_type,type,
szNzAzT0: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
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_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl920,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).
thf(zip_derived_cl922,plain,
! [X0: $i] :
( ( aSubsetOf0 @ X0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl920]) ).
thf(mZeroNum,axiom,
aElementOf0 @ sz00 @ szNzAzT0 ).
thf(zip_derived_cl45,plain,
aElementOf0 @ sz00 @ szNzAzT0,
inference(cnf,[status(esa)],[mZeroNum]) ).
thf(m__,conjecture,
? [W0: $i] :
( ( ( ( aSet0 @ ( slbdtrb0 @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( slbdtrb0 @ W0 ) )
<=> ( ( aElementOf0 @ W1 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
=> ( aElementOf0 @ W1 @ ( slbdtrb0 @ W0 ) ) )
| ( aSubsetOf0 @ xS @ ( slbdtrb0 @ W0 ) ) ) )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ( ( ( aSet0 @ ( slbdtrb0 @ W0 ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( slbdtrb0 @ W0 ) )
<=> ( ( aElementOf0 @ W1 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ xS )
=> ( aElementOf0 @ W1 @ ( slbdtrb0 @ W0 ) ) )
| ( aSubsetOf0 @ xS @ ( slbdtrb0 @ W0 ) ) ) )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ ( slbdtrb0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl923,plain,
~ ( aSubsetOf0 @ xS @ ( slbdtrb0 @ sz00 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl113]) ).
thf(mSegZero,axiom,
( ( slbdtrb0 @ sz00 )
= slcrc0 ) ).
thf(zip_derived_cl91,plain,
( ( slbdtrb0 @ sz00 )
= slcrc0 ),
inference(cnf,[status(esa)],[mSegZero]) ).
thf(zip_derived_cl926,plain,
~ ( aSubsetOf0 @ xS @ slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl923,zip_derived_cl91]) ).
thf(m__2035,axiom,
( ~ ( ( xS = slcrc0 )
& ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xS ) )
=> ( ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
<=> ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) )
& ( aElementOf0 @ W0 @ szNzAzT0 ) ) )
& ( aSet0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( sdtlseqdt0 @ W0 @ ( szmzazxdt0 @ xS ) ) )
& ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ xS ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_4: $o ).
thf(zf_stmt_2,axiom,
( zip_tseitin_4
=> ( ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ xS )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( sdtlseqdt0 @ W0 @ ( szmzazxdt0 @ xS ) ) )
& ( aSet0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
& ! [W0: $i] : ( zip_tseitin_3 @ W0 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) )
& ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_3: $i > $o ).
thf(zf_stmt_4,axiom,
! [W0: $i] :
( ( zip_tseitin_3 @ W0 )
=> ( ( aElementOf0 @ W0 @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
<=> ( ( aElementOf0 @ W0 @ szNzAzT0 )
& ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_2: $o ).
thf(zf_stmt_6,axiom,
( zip_tseitin_2
=> ( ~ ? [W0: $i] : ( aElementOf0 @ W0 @ xS )
& ( xS = slcrc0 ) ) ) ).
thf(zf_stmt_7,axiom,
( ~ zip_tseitin_2
=> zip_tseitin_4 ) ).
thf(zip_derived_cl112,plain,
( zip_tseitin_4
| zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl102,plain,
( ( xS = slcrc0 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl794,plain,
( zip_tseitin_4
| ( xS = slcrc0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl112,zip_derived_cl102]) ).
thf(zip_derived_cl106,plain,
( ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ xS )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl917,plain,
( ( xS = slcrc0 )
| ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ xS ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl794,zip_derived_cl106]) ).
thf(m__1986,axiom,
( ( isFinite0 @ xS )
& ( aSubsetOf0 @ xS @ szNzAzT0 )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xS )
=> ( aElementOf0 @ W0 @ szNzAzT0 ) )
& ( aSet0 @ xS ) ) ).
thf(zip_derived_cl99,plain,
aSubsetOf0 @ xS @ szNzAzT0,
inference(cnf,[status(esa)],[m__1986]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aElementOf0 @ X2 @ X1 )
| ~ ( aElementOf0 @ X2 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl929,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xS )
| ~ ( aSet0 @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl13]) ).
thf(mNATSet,axiom,
( ( isCountable0 @ szNzAzT0 )
& ( aSet0 @ szNzAzT0 ) ) ).
thf(zip_derived_cl44,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl930,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ xS ) ),
inference(demod,[status(thm)],[zip_derived_cl929,zip_derived_cl44]) ).
thf(zip_derived_cl948,plain,
( ( xS = slcrc0 )
| ( aElementOf0 @ ( szmzazxdt0 @ xS ) @ szNzAzT0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl917,zip_derived_cl930]) ).
thf(mSuccNum,axiom,
! [W0: $i] :
( ( aElementOf0 @ W0 @ szNzAzT0 )
=> ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 )
& ( ( szszuzczcdt0 @ W0 )
!= sz00 ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( aElementOf0 @ ( szszuzczcdt0 @ X0 ) @ szNzAzT0 )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
thf(zip_derived_cl113_001,plain,
! [X0: $i] :
( ~ ( aSubsetOf0 @ xS @ ( slbdtrb0 @ X0 ) )
| ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1025,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
| ~ ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl113]) ).
thf(zip_derived_cl1030,plain,
( ( xS = slcrc0 )
| ~ ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl948,zip_derived_cl1025]) ).
thf(zip_derived_cl794_002,plain,
( zip_tseitin_4
| ( xS = slcrc0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl112,zip_derived_cl102]) ).
thf(zip_derived_cl111,plain,
( ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) )
| ~ zip_tseitin_4 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl986,plain,
( ( xS = slcrc0 )
| ( aSubsetOf0 @ xS @ ( slbdtrb0 @ ( szszuzczcdt0 @ ( szmzazxdt0 @ xS ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl794,zip_derived_cl111]) ).
thf(zip_derived_cl1048,plain,
xS = slcrc0,
inference(clc,[status(thm)],[zip_derived_cl1030,zip_derived_cl986]) ).
thf(zip_derived_cl1057,plain,
~ ( aSubsetOf0 @ slcrc0 @ slcrc0 ),
inference(demod,[status(thm)],[zip_derived_cl926,zip_derived_cl1048]) ).
thf(zip_derived_cl1071,plain,
~ ( aSet0 @ slcrc0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl922,zip_derived_cl1057]) ).
thf(mDefEmp,axiom,
! [W0: $i] :
( ( W0 = slcrc0 )
<=> ( ( aSet0 @ W0 )
& ~ ? [W1: $i] : ( aElementOf0 @ W1 @ W0 ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ( X0 != slcrc0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i,X1: $i] :
( ~ ( aSet0 @ X0 )
| ( aElementOf0 @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( aSubsetOf0 @ X0 @ X1 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ X1 )
| ( X1 != slcrc0 ) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
thf(zip_derived_cl907,plain,
! [X0: $i] :
~ ( aElementOf0 @ X0 @ slcrc0 ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl919,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ slcrc0 @ X0 )
| ~ ( aSet0 @ slcrc0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl907]) ).
thf(zip_derived_cl954,plain,
! [X0: $i] :
( ( slcrc0 != slcrc0 )
| ~ ( aSet0 @ X0 )
| ( aSubsetOf0 @ slcrc0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl919]) ).
thf(zip_derived_cl955,plain,
! [X0: $i] :
( ( aSubsetOf0 @ slcrc0 @ X0 )
| ~ ( aSet0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl954]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( aSubsetOf0 @ X0 @ X1 )
| ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 ) ),
inference(cnf,[status(esa)],[mDefSub]) ).
thf(zip_derived_cl977,plain,
! [X0: $i] :
( ~ ( aSet0 @ X0 )
| ( aSet0 @ slcrc0 )
| ~ ( aSet0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl955,zip_derived_cl14]) ).
thf(zip_derived_cl982,plain,
! [X0: $i] :
( ( aSet0 @ slcrc0 )
| ~ ( aSet0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl977]) ).
thf(zip_derived_cl44_004,plain,
aSet0 @ szNzAzT0,
inference(cnf,[status(esa)],[mNATSet]) ).
thf(zip_derived_cl1003,plain,
aSet0 @ slcrc0,
inference('s_sup+',[status(thm)],[zip_derived_cl982,zip_derived_cl44]) ).
thf(zip_derived_cl1073,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl1003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM545+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.s1dEP6hxRO true
% 0.18/0.34 % Computer : n013.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Fri Aug 25 17:40:47 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % 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
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.80 % Solved by fo/fo6_bce.sh.
% 1.38/0.80 % BCE start: 120
% 1.38/0.80 % BCE eliminated: 1
% 1.38/0.80 % PE start: 119
% 1.38/0.80 logic: eq
% 1.38/0.80 % PE eliminated: 2
% 1.38/0.80 % done 96 iterations in 0.061s
% 1.38/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.80 % SZS output start Refutation
% See solution above
% 1.38/0.80
% 1.38/0.80
% 1.38/0.80 % Terminating...
% 1.44/0.84 % Runner terminated.
% 1.44/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------