TSTP Solution File: SYN328+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN328+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y1Nxd2j5ud true
% Computer : n007.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 : Fri Sep 1 04:02:44 EDT 2023
% Result : Theorem 1.15s 0.79s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 62 ( 6 unt; 13 typ; 0 def)
% Number of atoms : 131 ( 0 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 276 ( 37 ~; 46 |; 6 &; 157 @)
% ( 13 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 2 con; 0-1 aty)
% Number of variables : 52 ( 0 ^; 49 !; 3 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i ).
thf(big_g_type,type,
big_g: $i > $o ).
thf(big_f_type,type,
big_f: $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $o ).
thf(big_h_type,type,
big_h: $i > $o ).
thf(church_46_12_3,conjecture,
? [X: $i] :
! [Y: $i,Z: $i] :
( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
<=> ( big_f @ X ) )
=> ( ( ( ( big_f @ Y )
=> ( big_h @ Y ) )
<=> ( big_g @ X ) )
=> ( ( ( ( ( big_f @ Y )
=> ( big_g @ Y ) )
=> ( big_h @ Y ) )
<=> ( big_h @ X ) )
=> ( ( big_h @ Z )
& ( big_g @ Z )
& ( big_f @ Z ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_3: $i > $o ).
thf(zf_stmt_1,axiom,
! [Y: $i] :
( ( zip_tseitin_3 @ Y )
<=> ( ( zip_tseitin_2 @ Y )
=> ( big_h @ Y ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_2: $i > $o ).
thf(zf_stmt_3,axiom,
! [Y: $i] :
( ( zip_tseitin_2 @ Y )
<=> ( ( big_f @ Y )
=> ( big_g @ Y ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_5,axiom,
! [Y: $i] :
( ( zip_tseitin_1 @ Y )
<=> ( ( big_f @ Y )
=> ( big_h @ Y ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_7,axiom,
! [Y: $i] :
( ( zip_tseitin_0 @ Y )
<=> ( ( big_f @ Y )
=> ( big_g @ Y ) ) ) ).
thf(zf_stmt_8,conjecture,
? [X: $i] :
! [Y: $i,Z: $i] :
( ( ( zip_tseitin_0 @ Y )
<=> ( big_f @ X ) )
=> ( ( ( zip_tseitin_1 @ Y )
<=> ( big_g @ X ) )
=> ( ( ( zip_tseitin_3 @ Y )
<=> ( big_h @ X ) )
=> ( ( big_f @ Z )
& ( big_g @ Z )
& ( big_h @ Z ) ) ) ) ) ).
thf(zf_stmt_9,negated_conjecture,
~ ? [X: $i] :
! [Y: $i,Z: $i] :
( ( ( zip_tseitin_0 @ Y )
<=> ( big_f @ X ) )
=> ( ( ( zip_tseitin_1 @ Y )
<=> ( big_g @ X ) )
=> ( ( ( zip_tseitin_3 @ Y )
<=> ( big_h @ X ) )
=> ( ( big_f @ Z )
& ( big_g @ Z )
& ( big_h @ Z ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl12,plain,
( ~ ( big_f @ sk__1 )
| ~ ( big_g @ sk__1 )
| ~ ( big_h @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( big_h @ X0 )
| ~ ( zip_tseitin_3 @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk_ @ X0 ) )
| ( big_h @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl16]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ~ ( big_f @ X0 )
| ( big_g @ X0 )
| ~ ( zip_tseitin_2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( big_h @ X0 )
| ( big_g @ ( sk_ @ X0 ) )
| ~ ( big_f @ ( sk_ @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl6]) ).
thf(zip_derived_cl36_001,plain,
! [X0: $i] :
( ( big_h @ X0 )
| ( big_g @ ( sk_ @ X0 ) )
| ~ ( big_f @ ( sk_ @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl6]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( big_g @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( big_f @ X0 )
| ~ ( zip_tseitin_0 @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ~ ( big_g @ ( sk_ @ X0 ) )
| ( big_f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ~ ( big_f @ ( sk_ @ X0 ) )
| ( big_h @ X0 )
| ( big_f @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl28]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ( big_f @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl14_002,plain,
! [X0: $i] :
( ( big_f @ X0 )
| ~ ( zip_tseitin_0 @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( big_f @ ( sk_ @ X0 ) )
| ( big_f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( big_f @ X0 )
| ( big_h @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl29]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( big_h @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16_003,plain,
! [X0: $i] :
( ( big_h @ X0 )
| ~ ( zip_tseitin_3 @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ~ ( big_h @ ( sk_ @ X0 ) )
| ( big_h @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl16]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ( big_f @ ( sk_ @ X0 ) )
| ( big_h @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl34]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ ( sk_ @ X0 ) )
| ~ ( big_g @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( big_f @ X0 )
| ( big_h @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ~ ( big_g @ X0 )
| ( big_h @ ( sk_ @ X0 ) )
| ~ ( big_f @ ( sk_ @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).
thf(zip_derived_cl34_004,plain,
! [X0: $i] :
( ~ ( big_h @ ( sk_ @ X0 ) )
| ( big_h @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl16]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ~ ( big_f @ ( sk_ @ X0 ) )
| ~ ( big_g @ X0 )
| ( big_h @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl34]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( big_h @ X0 )
| ~ ( big_g @ X0 )
| ( big_h @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl55]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ~ ( big_g @ X0 )
| ( big_h @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl34_005,plain,
! [X0: $i] :
( ~ ( big_h @ ( sk_ @ X0 ) )
| ( big_h @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl16]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ~ ( big_g @ ( sk_ @ X0 ) )
| ( big_h @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl34]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ~ ( big_f @ ( sk_ @ X0 ) )
| ( big_h @ X0 )
| ( big_h @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl70]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ( big_h @ X0 )
| ~ ( big_f @ ( sk_ @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl61_006,plain,
! [X0: $i] :
( ( big_f @ ( sk_ @ X0 ) )
| ( big_h @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl34]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] : ( big_h @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl61]) ).
thf(zip_derived_cl78,plain,
( ~ ( big_f @ sk__1 )
| ~ ( big_g @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl77]) ).
thf(zip_derived_cl28_007,plain,
! [X0: $i] :
( ~ ( big_g @ ( sk_ @ X0 ) )
| ( big_f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( big_h @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ( big_g @ X0 )
| ~ ( zip_tseitin_1 @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ~ ( big_h @ ( sk_ @ X0 ) )
| ( big_g @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl17]) ).
thf(zip_derived_cl77_008,plain,
! [X0: $i] : ( big_h @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl61]) ).
thf(zip_derived_cl79,plain,
! [X0: $i] : ( big_g @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl77]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] : ( big_f @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl79]) ).
thf(zip_derived_cl79_009,plain,
! [X0: $i] : ( big_g @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl77]) ).
thf(zip_derived_cl84,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl83,zip_derived_cl79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : SYN328+1 : TPTP v8.1.2. Released v2.0.0.
% 0.09/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y1Nxd2j5ud true
% 0.16/0.38 % Computer : n007.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat Aug 26 21:06:42 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % Running portfolio for 300 s
% 0.16/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.38 % Number of cores: 8
% 0.16/0.38 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.24/0.69 % Total configuration time : 435
% 0.24/0.69 % Estimated wc time : 1092
% 0.24/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.90/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.15/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.15/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.15/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.15/0.79 % Solved by fo/fo6_bce.sh.
% 1.15/0.79 % BCE start: 19
% 1.15/0.79 % BCE eliminated: 0
% 1.15/0.79 % PE start: 19
% 1.15/0.79 logic: neq
% 1.15/0.79 % PE eliminated: 8
% 1.15/0.79 % done 24 iterations in 0.014s
% 1.15/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.15/0.79 % SZS output start Refutation
% See solution above
% 1.15/0.79
% 1.15/0.79
% 1.15/0.79 % Terminating...
% 1.48/0.90 % Runner terminated.
% 1.48/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------