TSTP Solution File: SYN059+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN059+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.oXjrk0i6Am true
% Computer : n016.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 04:01:26 EDT 2023
% Result : Theorem 0.21s 0.73s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 87 ( 13 unt; 20 typ; 0 def)
% Number of atoms : 161 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 312 ( 62 ~; 74 |; 6 &; 156 @)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 0 ^; 59 !; 2 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(big_f_type,type,
big_f: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(big_g_type,type,
big_g: $i > $o ).
thf(big_j_type,type,
big_j: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(big_h_type,type,
big_h: $i > $o ).
thf(pel29,conjecture,
( ( ! [U: $i] :
( ( big_g @ U )
=> ( big_j @ U ) )
& ! [X: $i] :
( ( big_f @ X )
=> ( big_h @ X ) ) )
<=> ! [W: $i,Y: $i] :
( ( ( big_g @ Y )
& ( big_f @ W ) )
=> ( ( big_j @ Y )
& ( big_h @ W ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [Y: $i,W: $i] :
( ( zip_tseitin_4 @ Y @ W )
<=> ( ( ( big_f @ W )
& ( big_g @ Y ) )
=> ( zip_tseitin_3 @ Y @ W ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ X0 @ X1 )
| ( big_f @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,type,
zip_tseitin_4: $i > $i > $o ).
thf(zf_stmt_2,type,
zip_tseitin_3: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Y: $i,W: $i] :
( ( zip_tseitin_3 @ Y @ W )
<=> ( ( big_h @ W )
& ( big_j @ Y ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_2: $o ).
thf(zf_stmt_5,axiom,
( zip_tseitin_2
<=> ( ! [X: $i] : ( zip_tseitin_1 @ X )
& ! [U: $i] : ( zip_tseitin_0 @ U ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_7,axiom,
! [X: $i] :
( ( zip_tseitin_1 @ X )
<=> ( ( big_f @ X )
=> ( big_h @ X ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_9,axiom,
! [U: $i] :
( ( zip_tseitin_0 @ U )
<=> ( ( big_g @ U )
=> ( big_j @ U ) ) ) ).
thf(zf_stmt_10,conjecture,
( zip_tseitin_2
<=> ! [W: $i,Y: $i] : ( zip_tseitin_4 @ Y @ W ) ) ).
thf(zf_stmt_11,negated_conjecture,
~ ( zip_tseitin_2
<=> ! [W: $i,Y: $i] : ( zip_tseitin_4 @ Y @ W ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl19,plain,
( ~ ( zip_tseitin_4 @ sk__5 @ sk__4 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl57,plain,
( ( big_f @ sk__4 )
| ~ zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl19]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ~ ( big_f @ X0 )
| ( big_h @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ X1 )
| ~ ( big_j @ X0 )
| ~ ( big_h @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X1 )
| ~ ( big_f @ X1 )
| ~ ( big_j @ X0 )
| ( zip_tseitin_3 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ~ zip_tseitin_2
| ( zip_tseitin_3 @ X0 @ sk__4 )
| ~ ( big_j @ X0 )
| ~ ( zip_tseitin_1 @ sk__4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl57,zip_derived_cl30]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl99,plain,
! [X0: $i] :
( ~ ( big_j @ X0 )
| ( zip_tseitin_3 @ X0 @ sk__4 )
| ~ zip_tseitin_2 ),
inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl8]) ).
thf(pel29_1,axiom,
? [X: $i] : ( big_f @ X ) ).
thf(zip_derived_cl0,plain,
big_f @ sk_,
inference(cnf,[status(esa)],[pel29_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ( big_g @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl10,plain,
( zip_tseitin_2
| ~ ( zip_tseitin_0 @ sk__2 )
| ~ ( zip_tseitin_1 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl35,plain,
( ( big_g @ sk__2 )
| ~ ( zip_tseitin_1 @ sk__3 )
| zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ X0 @ X1 )
| zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 )
| ~ ( big_g @ X1 )
| ( zip_tseitin_3 @ X1 @ X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_2
| ( zip_tseitin_3 @ X1 @ X0 )
| ~ ( big_g @ X1 )
| ~ ( big_f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( zip_tseitin_2
| ~ ( zip_tseitin_1 @ sk__3 )
| ~ ( big_f @ X0 )
| ( zip_tseitin_3 @ sk__2 @ X0 )
| zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl54]) ).
thf(zip_derived_cl66,plain,
( zip_tseitin_2
| ( zip_tseitin_3 @ sk__2 @ sk_ )
| ~ ( zip_tseitin_1 @ sk__3 )
| zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl61]) ).
thf(zip_derived_cl101,plain,
( ~ ( zip_tseitin_1 @ sk__3 )
| ( zip_tseitin_3 @ sk__2 @ sk_ )
| zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ( big_f @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(pel29_2,axiom,
? [Y: $i] : ( big_g @ Y ) ).
thf(zip_derived_cl1,plain,
big_g @ sk__1,
inference(cnf,[status(esa)],[pel29_2]) ).
thf(zip_derived_cl54_001,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_2
| ( zip_tseitin_3 @ X1 @ X0 )
| ~ ( big_g @ X1 )
| ~ ( big_f @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl14]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ~ ( big_f @ X0 )
| ( zip_tseitin_3 @ sk__1 @ X0 )
| zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl54]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| zip_tseitin_2
| ( zip_tseitin_3 @ sk__1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl59]) ).
thf(zip_derived_cl8_002,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ sk__1 @ X0 )
| ( zip_tseitin_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl8]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( big_h @ X0 )
| ~ ( zip_tseitin_3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 )
| ~ ( big_h @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_3 @ X1 @ X0 )
| ( zip_tseitin_1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] : ( zip_tseitin_1 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl102,zip_derived_cl31]) ).
thf(zip_derived_cl105,plain,
( ( zip_tseitin_3 @ sk__2 @ sk_ )
| zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl103]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( big_j @ X0 )
| ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl106,plain,
( zip_tseitin_2
| ( big_j @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl12]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( big_j @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl10_003,plain,
( zip_tseitin_2
| ~ ( zip_tseitin_0 @ sk__2 )
| ~ ( zip_tseitin_1 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl34,plain,
( ~ ( big_j @ sk__2 )
| ~ ( zip_tseitin_1 @ sk__3 )
| zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).
thf(zip_derived_cl103_004,plain,
! [X0: $i] : ( zip_tseitin_1 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl102,zip_derived_cl31]) ).
thf(zip_derived_cl104,plain,
( ~ ( big_j @ sk__2 )
| zip_tseitin_2 ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl103]) ).
thf(zip_derived_cl108,plain,
zip_tseitin_2,
inference(clc,[status(thm)],[zip_derived_cl106,zip_derived_cl104]) ).
thf(zip_derived_cl111,plain,
! [X0: $i] :
( ~ ( big_j @ X0 )
| ( zip_tseitin_3 @ X0 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl108]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ X0 @ X1 )
| ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_005,plain,
( ~ ( zip_tseitin_4 @ sk__5 @ sk__4 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl55,plain,
( ~ ( zip_tseitin_3 @ sk__5 @ sk__4 )
| ~ zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl19]) ).
thf(zip_derived_cl108_006,plain,
zip_tseitin_2,
inference(clc,[status(thm)],[zip_derived_cl106,zip_derived_cl104]) ).
thf(zip_derived_cl109,plain,
~ ( zip_tseitin_3 @ sk__5 @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl108]) ).
thf(zip_derived_cl117,plain,
~ ( big_j @ sk__5 ),
inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl109]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_4 @ X0 @ X1 )
| ( big_g @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_007,plain,
( ~ ( zip_tseitin_4 @ sk__5 @ sk__4 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl56,plain,
( ( big_g @ sk__5 )
| ~ zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl19]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ zip_tseitin_2 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( big_g @ X0 )
| ( big_j @ X0 )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ~ zip_tseitin_2
| ( big_j @ X0 )
| ~ ( big_g @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).
thf(zip_derived_cl62,plain,
( ~ zip_tseitin_2
| ( big_j @ sk__5 )
| ~ zip_tseitin_2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl56,zip_derived_cl33]) ).
thf(zip_derived_cl83,plain,
( ( big_j @ sk__5 )
| ~ zip_tseitin_2 ),
inference(simplify,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl108_008,plain,
zip_tseitin_2,
inference(clc,[status(thm)],[zip_derived_cl106,zip_derived_cl104]) ).
thf(zip_derived_cl110,plain,
big_j @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl108]) ).
thf(zip_derived_cl118,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oXjrk0i6Am true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 20:23:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/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: 20
% 0.21/0.73 % BCE eliminated: 0
% 0.21/0.73 % PE start: 20
% 0.21/0.73 logic: neq
% 0.21/0.73 % PE eliminated: 6
% 0.21/0.73 % done 24 iterations in 0.014s
% 0.21/0.73 % SZS status Theorem for '/export/starexec/sandbox2/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...
% 0.21/0.77 % Runner terminated.
% 0.21/0.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------