TSTP Solution File: RNG086+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG086+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.lUsjgL4KtV true
% Computer : n017.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 14:06:47 EDT 2023
% Result : Theorem 19.36s 3.40s
% Output : Refutation 19.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 47 ( 13 unt; 16 typ; 0 def)
% Number of atoms : 76 ( 12 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 292 ( 21 ~; 17 |; 17 &; 226 @)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 6 con; 0-5 aty)
% Number of variables : 52 ( 0 ^; 44 !; 8 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(sdtasdt0_type,type,
sdtasdt0: $i > $i > $i ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(xy_type,type,
xy: $i ).
thf(sdtpldt1_type,type,
sdtpldt1: $i > $i > $i ).
thf(xz_type,type,
xz: $i ).
thf(xI_type,type,
xI: $i ).
thf(xJ_type,type,
xJ: $i ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(xx_type,type,
xx: $i ).
thf(aIdeal0_type,type,
aIdeal0: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i > $i ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(m__901,axiom,
( ( aElement0 @ xz )
& ( aElementOf0 @ xy @ ( sdtpldt1 @ xI @ xJ ) )
& ( aElementOf0 @ xx @ ( sdtpldt1 @ xI @ xJ ) ) ) ).
thf(zip_derived_cl59,plain,
aElementOf0 @ xx @ ( sdtpldt1 @ xI @ xJ ),
inference(cnf,[status(esa)],[m__901]) ).
thf(mDefSSum,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W1 )
& ( aSet0 @ W0 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtpldt1 @ W0 @ W1 ) )
<=> ( ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ? [W4: $i,W5: $i] :
( ( aElementOf0 @ W4 @ W0 )
& ( aElementOf0 @ W5 @ W1 )
& ( ( sdtpldt0 @ W4 @ W5 )
= W3 ) ) )
& ( aSet0 @ W2 ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_2: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [W5: $i,W4: $i,W3: $i,W1: $i,W0: $i] :
( ( zip_tseitin_2 @ W5 @ W4 @ W3 @ W1 @ W0 )
<=> ( ( ( sdtpldt0 @ W4 @ W5 )
= W3 )
& ( aElementOf0 @ W5 @ W1 )
& ( aElementOf0 @ W4 @ W0 ) ) ) ).
thf(zf_stmt_2,axiom,
! [W0: $i,W1: $i] :
( ( ( aSet0 @ W0 )
& ( aSet0 @ W1 ) )
=> ! [W2: $i] :
( ( W2
= ( sdtpldt1 @ W0 @ W1 ) )
<=> ( ( aSet0 @ W2 )
& ! [W3: $i] :
( ( aElementOf0 @ W3 @ W2 )
<=> ? [W4: $i,W5: $i] : ( zip_tseitin_2 @ W5 @ W4 @ W3 @ W1 @ W0 ) ) ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( aSet0 @ X0 )
| ~ ( aSet0 @ X1 )
| ~ ( aElementOf0 @ X2 @ X3 )
| ( zip_tseitin_2 @ ( sk__6 @ X2 @ X1 @ X0 ) @ ( sk__5 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 )
| ( X3
!= ( sdtpldt1 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ ( sk__6 @ X2 @ X1 @ X0 ) @ ( sk__5 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 )
| ~ ( aElementOf0 @ X2 @ ( sdtpldt1 @ X0 @ X1 ) )
| ~ ( aSet0 @ X1 )
| ~ ( aSet0 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl21602,plain,
( ( zip_tseitin_2 @ ( sk__6 @ xx @ xJ @ xI ) @ ( sk__5 @ xx @ xJ @ xI ) @ xx @ xJ @ xI )
| ~ ( aSet0 @ xJ )
| ~ ( aSet0 @ xI ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl458]) ).
thf(m__870,axiom,
( ( aIdeal0 @ xJ )
& ( aIdeal0 @ xI ) ) ).
thf(zip_derived_cl55,plain,
aIdeal0 @ xJ,
inference(cnf,[status(esa)],[m__870]) ).
thf(mDefIdeal,axiom,
! [W0: $i] :
( ( aIdeal0 @ W0 )
<=> ( ( aSet0 @ W0 )
& ! [W1: $i] :
( ( aElementOf0 @ W1 @ W0 )
=> ( ! [W2: $i] :
( ( aElementOf0 @ W2 @ W0 )
=> ( aElementOf0 @ ( sdtpldt0 @ W1 @ W2 ) @ W0 ) )
& ! [W2: $i] :
( ( aElement0 @ W2 )
=> ( aElementOf0 @ ( sdtasdt0 @ W2 @ W1 ) @ W0 ) ) ) ) ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ~ ( aIdeal0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(zip_derived_cl61,plain,
aSet0 @ xJ,
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl47]) ).
thf(zip_derived_cl56,plain,
aIdeal0 @ xI,
inference(cnf,[status(esa)],[m__870]) ).
thf(zip_derived_cl47_001,plain,
! [X0: $i] :
( ( aSet0 @ X0 )
| ~ ( aIdeal0 @ X0 ) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
thf(zip_derived_cl62,plain,
aSet0 @ xI,
inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl47]) ).
thf(zip_derived_cl21617,plain,
zip_tseitin_2 @ ( sk__6 @ xx @ xJ @ xI ) @ ( sk__5 @ xx @ xJ @ xI ) @ xx @ xJ @ xI,
inference(demod,[status(thm)],[zip_derived_cl21602,zip_derived_cl61,zip_derived_cl62]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( sdtpldt0 @ X1 @ X2 )
= X0 )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21625,plain,
( ( sdtpldt0 @ ( sk__5 @ xx @ xJ @ xI ) @ ( sk__6 @ xx @ xJ @ xI ) )
= xx ),
inference('s_sup-',[status(thm)],[zip_derived_cl21617,zip_derived_cl31]) ).
thf(zip_derived_cl21617_002,plain,
zip_tseitin_2 @ ( sk__6 @ xx @ xJ @ xI ) @ ( sk__5 @ xx @ xJ @ xI ) @ xx @ xJ @ xI,
inference(demod,[status(thm)],[zip_derived_cl21602,zip_derived_cl61,zip_derived_cl62]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( aElementOf0 @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X3 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21626,plain,
aElementOf0 @ ( sk__6 @ xx @ xJ @ xI ) @ xJ,
inference('s_sup-',[status(thm)],[zip_derived_cl21617,zip_derived_cl32]) ).
thf(zip_derived_cl21617_003,plain,
zip_tseitin_2 @ ( sk__6 @ xx @ xJ @ xI ) @ ( sk__5 @ xx @ xJ @ xI ) @ xx @ xJ @ xI,
inference(demod,[status(thm)],[zip_derived_cl21602,zip_derived_cl61,zip_derived_cl62]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( aElementOf0 @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X2 @ X0 @ X3 @ X4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21627,plain,
aElementOf0 @ ( sk__5 @ xx @ xJ @ xI ) @ xI,
inference('s_sup-',[status(thm)],[zip_derived_cl21617,zip_derived_cl33]) ).
thf(m__,conjecture,
? [W0: $i,W1: $i] :
( ( xx
= ( sdtpldt0 @ W0 @ W1 ) )
& ( aElementOf0 @ W1 @ xJ )
& ( aElementOf0 @ W0 @ xI ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ? [W0: $i,W1: $i] :
( ( xx
= ( sdtpldt0 @ W0 @ W1 ) )
& ( aElementOf0 @ W1 @ xJ )
& ( aElementOf0 @ W0 @ xI ) ),
inference('cnf.neg',[status(esa)],[m__]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ~ ( aElementOf0 @ X0 @ xI )
| ~ ( aElementOf0 @ X1 @ xJ )
| ( xx
!= ( sdtpldt0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl21673,plain,
! [X0: $i] :
( ~ ( aElementOf0 @ X0 @ xJ )
| ( xx
!= ( sdtpldt0 @ ( sk__5 @ xx @ xJ @ xI ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21627,zip_derived_cl60]) ).
thf(zip_derived_cl21687,plain,
( xx
!= ( sdtpldt0 @ ( sk__5 @ xx @ xJ @ xI ) @ ( sk__6 @ xx @ xJ @ xI ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21626,zip_derived_cl21673]) ).
thf(zip_derived_cl21713,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21625,zip_derived_cl21687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG086+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lUsjgL4KtV true
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 01:30:41 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.35 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 19.36/3.40 % Solved by fo/fo13.sh.
% 19.36/3.40 % done 1557 iterations in 2.631s
% 19.36/3.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.36/3.40 % SZS output start Refutation
% See solution above
% 19.36/3.40
% 19.36/3.40
% 19.36/3.40 % Terminating...
% 19.86/3.47 % Runner terminated.
% 19.86/3.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------