TSTP Solution File: SYN069+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JnPrZ3FYab true
% Computer : n012.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 04:01:32 EDT 2023
% Result : Theorem 0.21s 0.73s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 47 ( 4 unt; 14 typ; 0 def)
% Number of atoms : 80 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 214 ( 27 ~; 26 |; 12 &; 140 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 0 ^; 49 !; 2 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_h_type,type,
big_h: $i > $i > $o ).
thf(big_f_type,type,
big_f: $i > $o ).
thf(big_g_type,type,
big_g: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(big_k_type,type,
big_k: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(big_l_type,type,
big_l: $i > $o ).
thf(big_j_type,type,
big_j: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(pel45_3,axiom,
? [X: $i] :
( ! [Y1: $i] :
( ( ( big_g @ Y1 )
& ( big_h @ X @ Y1 ) )
=> ( big_j @ X @ Y1 ) )
& ! [Y: $i] :
( ( big_h @ X @ Y )
=> ( big_l @ Y ) )
& ( big_f @ X ) ) ).
thf(zip_derived_cl9,plain,
big_f @ sk__1,
inference(cnf,[status(esa)],[pel45_3]) ).
thf(pel45_1,axiom,
! [X: $i] :
( ( ! [Y: $i] :
( ( ( big_h @ X @ Y )
& ( big_g @ Y ) )
=> ( big_j @ X @ Y ) )
& ( big_f @ X ) )
=> ! [Y1: $i] :
( ( big_g @ Y1 )
& ( big_h @ X @ Y1 )
& ( big_k @ Y1 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [Y1: $i,X: $i] :
( ( zip_tseitin_2 @ Y1 @ X )
=> ( ( big_k @ Y1 )
& ( big_h @ X @ Y1 )
& ( big_g @ Y1 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Y: $i,X: $i] :
( ( ( zip_tseitin_0 @ Y @ X )
=> ( big_j @ X @ Y ) )
=> ( zip_tseitin_1 @ Y @ X ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_0 @ Y @ X )
=> ( ( big_g @ Y )
& ( big_h @ X @ Y ) ) ) ).
thf(zf_stmt_6,axiom,
! [X: $i] :
( ( ( big_f @ X )
& ! [Y: $i] : ( zip_tseitin_1 @ Y @ X ) )
=> ! [Y1: $i] : ( zip_tseitin_2 @ Y1 @ X ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ ( sk_ @ X1 ) @ X1 )
| ~ ( big_f @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk_ @ sk__1 ) @ sk__1 )
| ( zip_tseitin_2 @ X0 @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( big_h @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk_ @ sk__1 ) @ sk__1 )
| ( big_h @ sk__1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl5]) ).
thf(zip_derived_cl19_001,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk_ @ sk__1 ) @ sk__1 )
| ( zip_tseitin_2 @ X0 @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( big_k @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( big_l @ X0 )
| ~ ( big_h @ sk__1 @ X0 ) ),
inference(cnf,[status(esa)],[pel45_3]) ).
thf(pel45_2,axiom,
~ ? [Y: $i] :
( ( big_k @ Y )
& ( big_l @ Y ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ~ ( big_k @ X0 )
| ~ ( big_l @ X0 ) ),
inference(cnf,[status(esa)],[pel45_2]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ~ ( big_h @ sk__1 @ X0 )
| ~ ( big_k @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( big_h @ sk__1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl14]) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ ( sk_ @ sk__1 ) @ sk__1 )
| ~ ( big_h @ sk__1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl15]) ).
thf(zip_derived_cl44,plain,
~ ( zip_tseitin_1 @ ( sk_ @ sk__1 ) @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl25,zip_derived_cl26]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( big_g @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( big_g @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( big_j @ sk__1 @ X0 )
| ~ ( big_h @ sk__1 @ X0 )
| ~ ( big_g @ X0 ) ),
inference(cnf,[status(esa)],[pel45_3]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( big_j @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ~ ( big_g @ X0 )
| ~ ( big_h @ sk__1 @ X0 )
| ( zip_tseitin_1 @ X0 @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( zip_tseitin_1 @ X0 @ sk__1 )
| ~ ( big_h @ sk__1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl16]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( big_h @ sk__1 @ X0 )
| ( zip_tseitin_1 @ X0 @ sk__1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( big_h @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ( big_h @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] : ( zip_tseitin_1 @ X0 @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl18]) ).
thf(zip_derived_cl48,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JnPrZ3FYab true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:17:25 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.34 % Running portfolio for 300 s
% 0.20/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % Solved by fo/fo6_bce.sh.
% 0.21/0.73 % BCE start: 14
% 0.21/0.73 % BCE eliminated: 0
% 0.21/0.73 % PE start: 14
% 0.21/0.73 logic: neq
% 0.21/0.73 % PE eliminated: 7
% 0.21/0.73 % done 8 iterations in 0.009s
% 0.21/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.73 % SZS output start Refutation
% See solution above
% 0.21/0.73
% 0.21/0.73
% 0.21/0.73 % Terminating...
% 1.26/0.84 % Runner terminated.
% 1.26/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------