TSTP Solution File: RNG115+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG115+4 : 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.KSUQQHKlwJ true
% Computer : n006.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 14:07:00 EDT 2023
% Result : Theorem 0.91s 0.86s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 39
% Syntax : Number of formulae : 54 ( 11 unt; 30 typ; 0 def)
% Number of atoms : 99 ( 27 equ; 0 cnn)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 292 ( 13 ~; 18 |; 49 &; 204 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 11 con; 0-3 aty)
% Number of variables : 35 ( 0 ^; 13 !; 22 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $o ).
thf(xI_type,type,
xI: $i ).
thf(aDivisorOf0_type,type,
aDivisorOf0: $i > $i > $o ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(sk__36_type,type,
sk__36: $i ).
thf(xa_type,type,
xa: $i ).
thf(sz00_type,type,
sz00: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $o ).
thf(slsdtgt0_type,type,
slsdtgt0: $i > $i ).
thf(xu_type,type,
xu: $i ).
thf(aGcdOfAnd0_type,type,
aGcdOfAnd0: $i > $i > $i > $o ).
thf(iLess0_type,type,
iLess0: $i > $i > $o ).
thf(xc_type,type,
xc: $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(doDivides0_type,type,
doDivides0: $i > $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $o ).
thf(sk__37_type,type,
sk__37: $i ).
thf(xb_type,type,
xb: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $o ).
thf(m__,conjecture,
? [W0: $i,W1: $i] :
( ( xu
= ( sdtpldt0 @ W0 @ W1 ) )
& ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
| ? [W2: $i] :
( ( ( sdtasdt0 @ xb @ W2 )
= W1 )
& ( aElement0 @ W2 ) ) )
& ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) )
| ? [W2: $i] :
( ( ( sdtasdt0 @ xa @ W2 )
= W0 )
& ( aElement0 @ W2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [W0: $i,W1: $i] :
( ( xu
= ( sdtpldt0 @ W0 @ W1 ) )
& ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
| ? [W2: $i] :
( ( ( sdtasdt0 @ xb @ W2 )
= W1 )
& ( aElement0 @ W2 ) ) )
& ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) )
| ? [W2: $i] :
( ( ( sdtasdt0 @ xa @ W2 )
= W0 )
& ( aElement0 @ W2 ) ) ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl172,plain,
! [X0: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ xa ) )
| ~ ( aElementOf0 @ X2 @ ( slsdtgt0 @ xb ) )
| ( xu
!= ( sdtpldt0 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(m__2129,axiom,
( ( aElement0 @ xc )
& ? [W0: $i] :
( ( aElement0 @ W0 )
& ( ( sdtasdt0 @ xc @ W0 )
= xa ) )
& ( doDivides0 @ xc @ xa )
& ( aDivisorOf0 @ xc @ xa )
& ( aElement0 @ xc )
& ? [W0: $i] :
( ( aElement0 @ W0 )
& ( ( sdtasdt0 @ xc @ W0 )
= xb ) )
& ( doDivides0 @ xc @ xb )
& ( aDivisorOf0 @ xc @ xb )
& ! [W0: $i] :
( ( ( ( aDivisorOf0 @ W0 @ xb )
| ( doDivides0 @ W0 @ xb )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( ( sdtasdt0 @ W0 @ W1 )
= xb ) ) )
& ( ( aDivisorOf0 @ W0 @ xa )
| ( ( ( doDivides0 @ W0 @ xa )
| ? [W1: $i] :
( ( aElement0 @ W1 )
& ( ( sdtasdt0 @ W0 @ W1 )
= xa ) ) )
& ( aElement0 @ W0 ) ) ) )
=> ( ( doDivides0 @ W0 @ xc )
& ? [W1: $i] :
( ( aElement0 @ W1 )
& ( ( sdtasdt0 @ W0 @ W1 )
= xc ) ) ) )
& ( aGcdOfAnd0 @ xc @ xa @ xb ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_9: $i > $o ).
thf(zf_stmt_2,axiom,
! [W0: $i] :
( ( zip_tseitin_9 @ W0 )
=> ( ? [W1: $i] : ( zip_tseitin_8 @ W1 @ W0 )
& ( doDivides0 @ W0 @ xc ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_8: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [W1: $i,W0: $i] :
( ( zip_tseitin_8 @ W1 @ W0 )
=> ( ( ( sdtasdt0 @ W0 @ W1 )
= xc )
& ( aElement0 @ W1 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_7: $i > $o ).
thf(zf_stmt_6,axiom,
! [W0: $i] :
( ( ( ( aElement0 @ W0 )
& ( zip_tseitin_6 @ W0 ) )
| ( aDivisorOf0 @ W0 @ xa ) )
=> ( zip_tseitin_7 @ W0 ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_6: $i > $o ).
thf(zf_stmt_8,axiom,
! [W0: $i] :
( ( ? [W1: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
= xa )
& ( aElement0 @ W1 ) )
| ( doDivides0 @ W0 @ xa ) )
=> ( zip_tseitin_6 @ W0 ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_5: $i > $o ).
thf(zf_stmt_10,axiom,
! [W0: $i] :
( ( ? [W1: $i] :
( ( ( sdtasdt0 @ W0 @ W1 )
= xb )
& ( aElement0 @ W1 ) )
| ( doDivides0 @ W0 @ xb )
| ( aDivisorOf0 @ W0 @ xb ) )
=> ( zip_tseitin_5 @ W0 ) ) ).
thf(zf_stmt_11,axiom,
( ? [W0: $i] :
( ( ( sdtasdt0 @ xc @ W0 )
= xb )
& ( aElement0 @ W0 ) )
& ( aGcdOfAnd0 @ xc @ xa @ xb )
& ! [W0: $i] :
( ( ( zip_tseitin_7 @ W0 )
& ( zip_tseitin_5 @ W0 ) )
=> ( zip_tseitin_9 @ W0 ) )
& ( aDivisorOf0 @ xc @ xa )
& ( aElement0 @ xc )
& ? [W0: $i] :
( ( ( sdtasdt0 @ xc @ W0 )
= xa )
& ( aElement0 @ W0 ) )
& ( doDivides0 @ xc @ xb )
& ( aDivisorOf0 @ xc @ xb )
& ( doDivides0 @ xc @ xa ) ) ).
thf(zip_derived_cl111,plain,
( ( sdtasdt0 @ xc @ sk__22 )
= xa ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl117,plain,
( ( sdtasdt0 @ xc @ sk__21 )
= xb ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(m__2273,axiom,
( ! [W0: $i] :
( ( ( ? [W1: $i,W2: $i] :
( ( ( sdtpldt0 @ W1 @ W2 )
= W0 )
& ( aElementOf0 @ W2 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xa ) ) )
| ( aElementOf0 @ W0 @ xI ) )
& ( W0 != sz00 ) )
=> ~ ( iLess0 @ ( sbrdtbr0 @ W0 ) @ ( sbrdtbr0 @ xu ) ) )
& ( xu != sz00 )
& ( aElementOf0 @ xu @ xI )
& ? [W0: $i,W1: $i] :
( ( ( sdtpldt0 @ W0 @ W1 )
= xu )
& ( aElementOf0 @ W1 @ ( slsdtgt0 @ xb ) )
& ( aElementOf0 @ W0 @ ( slsdtgt0 @ xa ) ) ) ) ).
thf(zip_derived_cl159,plain,
( ( sdtpldt0 @ sk__36 @ sk__37 )
= xu ),
inference(cnf,[status(esa)],[m__2273]) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X2: $i] :
( ~ ( aElementOf0 @ X0 @ ( slsdtgt0 @ ( sdtasdt0 @ xc @ sk__22 ) ) )
| ~ ( aElementOf0 @ X2 @ ( slsdtgt0 @ ( sdtasdt0 @ xc @ sk__21 ) ) )
| ( ( sdtpldt0 @ sk__36 @ sk__37 )
!= ( sdtpldt0 @ X0 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl111,zip_derived_cl117,zip_derived_cl159]) ).
thf(zip_derived_cl187,plain,
( ~ ( aElementOf0 @ sk__37 @ ( slsdtgt0 @ ( sdtasdt0 @ xc @ sk__21 ) ) )
| ~ ( aElementOf0 @ sk__36 @ ( slsdtgt0 @ ( sdtasdt0 @ xc @ sk__22 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl157,plain,
aElementOf0 @ sk__36 @ ( slsdtgt0 @ xa ),
inference(cnf,[status(esa)],[m__2273]) ).
thf(zip_derived_cl111_001,plain,
( ( sdtasdt0 @ xc @ sk__22 )
= xa ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl311,plain,
aElementOf0 @ sk__36 @ ( slsdtgt0 @ ( sdtasdt0 @ xc @ sk__22 ) ),
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl111]) ).
thf(zip_derived_cl312,plain,
~ ( aElementOf0 @ sk__37 @ ( slsdtgt0 @ ( sdtasdt0 @ xc @ sk__21 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl311]) ).
thf(zip_derived_cl158,plain,
aElementOf0 @ sk__37 @ ( slsdtgt0 @ xb ),
inference(cnf,[status(esa)],[m__2273]) ).
thf(zip_derived_cl117_002,plain,
( ( sdtasdt0 @ xc @ sk__21 )
= xb ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl317,plain,
aElementOf0 @ sk__37 @ ( slsdtgt0 @ ( sdtasdt0 @ xc @ sk__21 ) ),
inference(demod,[status(thm)],[zip_derived_cl158,zip_derived_cl117]) ).
thf(zip_derived_cl328,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KSUQQHKlwJ true
% 0.16/0.35 % Computer : n006.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun Aug 27 01:24:37 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36 % Number of cores: 8
% 0.16/0.36 % Python version: Python 3.6.8
% 0.16/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.91/0.86 % Solved by fo/fo7.sh.
% 0.91/0.86 % done 120 iterations in 0.045s
% 0.91/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.91/0.86 % SZS output start Refutation
% See solution above
% 0.91/0.86
% 0.91/0.86
% 0.91/0.86 % Terminating...
% 1.99/0.96 % Runner terminated.
% 1.99/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------