TSTP Solution File: RNG112+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG112+4 : 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.VOLNitCT0W true
% Computer : n023.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 14:06:59 EDT 2023
% Result : Theorem 6.95s 1.58s
% Output : Refutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 31
% Syntax : Number of formulae : 64 ( 8 unt; 23 typ; 0 def)
% Number of atoms : 164 ( 55 equ; 0 cnn)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 453 ( 56 ~; 47 |; 55 &; 274 @)
% ( 5 <=>; 12 =>; 4 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 77 ( 0 ^; 46 !; 31 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sdtpldt1_type,type,
sdtpldt1: $i > $i > $i ).
thf(xI_type,type,
xI: $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(xa_type,type,
xa: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sk__38_type,type,
sk__38: $i ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $o ).
thf(slsdtgt0_type,type,
slsdtgt0: $i > $i ).
thf(aIdeal0_type,type,
aIdeal0: $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(sk__39_type,type,
sk__39: $i > $i ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $i > $i > $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(sk__33_type,type,
sk__33: $i ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(xb_type,type,
xb: $i ).
thf(m__,conjecture,
? [W0: $i] :
( ! [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( ( sdtpldt0 @ W2 @ W3 )
= W1 )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) )
& ( aElementOf0 @ W1 @ xI )
& ( W1 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) ) )
& ( W0 != sz00 )
& ( ( aElementOf0 @ W0 @ xI )
| ? [W1: $i,W2: $i] :
( ( ( sdtpldt0 @ W1 @ W2 )
= W0 )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i] :
( ! [W1: $i] :
( ( ? [W2: $i,W3: $i] :
( ( ( sdtpldt0 @ W2 @ W3 )
= W1 )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) )
& ( aElementOf0 @ W1 @ xI )
& ( W1 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W1 ) @ ( sbrdtbr0 @ W0 ) ) )
& ( W0 != sz00 )
& ( ( aElementOf0 @ W0 @ xI )
| ? [W1: $i,W2: $i] :
( ( ( sdtpldt0 @ W1 @ W2 )
= W0 )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ( iLess0 @ ( sbrdtbr0 @ ( sk__39 @ X0 ) ) @ ( sbrdtbr0 @ X0 ) )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__2351,axiom,
! [W0: $i] :
( ( ( W0 != sz00 )
& ( ( aElementOf0 @ W0 @ xI )
| ? [W1: $i,W2: $i] :
( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W1 @ W2 )
= W0 ) ) ) )
=> ? [W1: $i] :
( ? [W2: $i,W3: $i] :
( ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W2 @ W3 )
= W1 ) )
& ( aElementOf0 @ W1 @ xI )
& ( W1 != sz00 )
& ! [W2: $i] :
( ( ( W2 != sz00 )
& ( ( aElementOf0 @ W2 @ xI )
| ? [W3: $i,W4: $i] :
( ( aElementOf0 @ W3 @ ( slsdtgt0 @ xa ) )
& ( aElementOf0 @ W4 @ ( slsdtgt0 @ xb ) )
& ( ( sdtpldt0 @ W3 @ W4 )
= W2 ) ) ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [W1: $i] :
( ( zip_tseitin_12 @ W1 )
=> ( ! [W2: $i] :
( ( ( zip_tseitin_10 @ W2 )
& ( W2 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W2 ) @ ( sbrdtbr0 @ W1 ) ) )
& ( W1 != sz00 )
& ( aElementOf0 @ W1 @ xI )
& ? [W2: $i,W3: $i] : ( zip_tseitin_11 @ W3 @ W2 @ W1 ) ) ) ).
thf(zip_derived_cl162,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_10 @ X0 )
| ( X0 = sz00 )
| ~ ( iLess0 @ ( sbrdtbr0 @ X0 ) @ ( sbrdtbr0 @ X1 ) )
| ~ ( zip_tseitin_12 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3282,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xI )
| ( X0 = sz00 )
| ~ ( zip_tseitin_10 @ ( sk__39 @ X0 ) )
| ( ( sk__39 @ X0 )
= sz00 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl162]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xI )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3742,plain,
! [X0: $i] :
( ~ ( zip_tseitin_12 @ X0 )
| ( ( sk__39 @ X0 )
= sz00 )
| ~ ( zip_tseitin_10 @ ( sk__39 @ X0 ) )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl3282,zip_derived_cl164]) ).
thf(zip_derived_cl163,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3743,plain,
! [X0: $i] :
( ~ ( zip_tseitin_10 @ ( sk__39 @ X0 ) )
| ( ( sk__39 @ X0 )
= sz00 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3742,zip_derived_cl163]) ).
thf(zf_stmt_2,axiom,
! [W0: $i] :
( ( ? [W1: $i,W2: $i] :
( ( ( sdtpldt0 @ W1 @ W2 )
= W0 )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
| ( aElementOf0 @ W0 @ xI ) )
=> ( zip_tseitin_10 @ W0 ) ) ).
thf(zip_derived_cl158,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ~ ( aElementOf0 @ X0 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl3744,plain,
! [X0: $i] :
( ~ ( zip_tseitin_12 @ X0 )
| ( ( sk__39 @ X0 )
= sz00 )
| ~ ( aElementOf0 @ ( sk__39 @ X0 ) @ xI ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3743,zip_derived_cl158]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ( aElementOf0 @ ( sk__39 @ X0 ) @ xI )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3755,plain,
! [X0: $i] :
( ( ( sk__39 @ X0 )
= sz00 )
| ~ ( zip_tseitin_12 @ X0 )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3744,zip_derived_cl172]) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ( ( sk__39 @ X0 )
!= sz00 )
| ( X0 = sz00 )
| ~ ( aElementOf0 @ X0 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3759,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xI )
| ( X0 = sz00 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl3755,zip_derived_cl170]) ).
thf(zip_derived_cl164_001,plain,
! [X0: $i] :
( ( aElementOf0 @ X0 @ xI )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3760,plain,
! [X0: $i] :
( ~ ( zip_tseitin_12 @ X0 )
| ( X0 = sz00 ) ),
inference(clc,[status(thm)],[zip_derived_cl3759,zip_derived_cl164]) ).
thf(zip_derived_cl163_002,plain,
! [X0: $i] :
( ( X0 != sz00 )
| ~ ( zip_tseitin_12 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3761,plain,
! [X0: $i] :
~ ( zip_tseitin_12 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl3760,zip_derived_cl163]) ).
thf(zf_stmt_3,type,
zip_tseitin_12: $i > $o ).
thf(zf_stmt_4,type,
zip_tseitin_11: $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W3: $i,W2: $i,W1: $i] :
( ( zip_tseitin_11 @ W3 @ W2 @ W1 )
=> ( ( ( sdtpldt0 @ W2 @ W3 )
= W1 )
& ( aElementOf0 @ W3 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xa ) ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_10: $i > $o ).
thf(zf_stmt_7,axiom,
! [W0: $i] :
( ( ( zip_tseitin_10 @ W0 )
& ( W0 != sz00 ) )
=> ? [W1: $i] : ( zip_tseitin_12 @ W1 ) ) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ( zip_tseitin_12 @ sk__38 )
| ~ ( zip_tseitin_10 @ X0 )
| ( X0 = sz00 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl182,plain,
( ( zip_tseitin_12 @ sk__38 )
<= ( zip_tseitin_12 @ sk__38 ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(m__2228,axiom,
? [W0: $i] :
( ( W0 != sz00 )
& ( aElementOf0 @ W0 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
& ? [W1: $i,W2: $i] :
( ( ( sdtpldt0 @ W1 @ W2 )
= W0 )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
<=> ? [W2: $i] :
( ( ( sdtasdt0 @ xb @ W2 )
= W1 )
& ( aElement0 @ W2 ) ) )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) )
<=> ? [W2: $i] :
( ( ( sdtasdt0 @ xa @ W2 )
= W1 )
& ( aElement0 @ W2 ) ) ) ) ).
thf(zip_derived_cl147,plain,
aElementOf0 @ sk__33 @ ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ),
inference(cnf,[status(esa)],[m__2228]) ).
thf(m__2174,axiom,
( ( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xI )
<=> ? [W1: $i,W2: $i] :
( ( ( sdtpldt0 @ W1 @ W2 )
= W0 )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xb ) )
<=> ? [W1: $i] :
( ( ( sdtasdt0 @ xb @ W1 )
= W0 )
& ( aElement0 @ W1 ) ) )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) )
<=> ? [W1: $i] :
( ( ( sdtasdt0 @ xa @ W1 )
= W0 )
& ( aElement0 @ W1 ) ) )
& ( aIdeal0 @ xI )
& ! [W0: $i] :
( ( aElementOf0 @ W0 @ xI )
=> ( ! [W1: $i] :
( ( aElementOf0 @ W1 @ xI )
=> ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ xI ) )
& ! [W1: $i] :
( ( aElement0 @ W1 )
=> ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ xI ) ) ) )
& ( aSet0 @ xI ) ) ).
thf(zip_derived_cl133,plain,
( xI
= ( sdtpldt1 @ ( slsdtgt0 @ xa ) @ ( slsdtgt0 @ xb ) ) ),
inference(cnf,[status(esa)],[m__2174]) ).
thf(zip_derived_cl271,plain,
aElementOf0 @ sk__33 @ xI,
inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl133]) ).
thf(zip_derived_cl158_003,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 )
| ~ ( aElementOf0 @ X0 @ xI ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl181,plain,
( ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( zip_tseitin_10 @ X0 ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( zip_tseitin_10 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl194,plain,
( ! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xI )
| ( X0 = sz00 ) )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( zip_tseitin_10 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl181]) ).
thf(zip_derived_cl273,plain,
( ( sk__33 = sz00 )
<= ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( zip_tseitin_10 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl194]) ).
thf(zip_derived_cl146,plain,
sk__33 != sz00,
inference(cnf,[status(esa)],[m__2228]) ).
thf('0',plain,
~ ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( zip_tseitin_10 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl273,zip_derived_cl146]) ).
thf('1',plain,
( ( zip_tseitin_12 @ sk__38 )
| ! [X0: $i] :
( ( X0 = sz00 )
| ~ ( zip_tseitin_10 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf('2',plain,
zip_tseitin_12 @ sk__38,
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl284,plain,
zip_tseitin_12 @ sk__38,
inference(simpl_trail,[status(thm)],[zip_derived_cl182,'2']) ).
thf(zip_derived_cl3762,plain,
$false,
inference('s_sup+',[status(thm)],[zip_derived_cl3761,zip_derived_cl284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VOLNitCT0W true
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 01:48:26 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.44/0.59 % Total configuration time : 435
% 0.44/0.59 % Estimated wc time : 1092
% 0.44/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.95/1.58 % Solved by fo/fo1_av.sh.
% 6.95/1.58 % done 759 iterations in 0.834s
% 6.95/1.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.95/1.58 % SZS output start Refutation
% See solution above
% 6.95/1.58
% 6.95/1.58
% 6.95/1.58 % Terminating...
% 6.95/1.71 % Runner terminated.
% 6.95/1.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------