TSTP Solution File: SYN349+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN349+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.v20cqZIanh true
% Computer : n018.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 04:02:54 EDT 2023
% Result : Theorem 0.23s 0.76s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 7 unt; 7 typ; 0 def)
% Number of atoms : 114 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 560 ( 42 ~; 56 |; 0 &; 447 @)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 87 ( 0 ^; 81 !; 6 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(church_46_17_5,conjecture,
? [X1: $i] :
! [X2: $i] :
? [X3: $i] :
! [X4: $i] :
( ( ( big_f @ X1 @ X4 )
<=> ( big_f @ X2 @ X4 ) )
=> ( ( ( ( big_f @ X1 @ X4 )
<=> ( big_f @ X4 @ X3 ) )
<=> ( big_f @ X3 @ X4 ) )
<=> ( big_f @ X4 @ X2 ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i,X3: $i,X1: $i] :
( ( zip_tseitin_1 @ X4 @ X3 @ X1 )
<=> ( ( zip_tseitin_0 @ X4 @ X3 @ X1 )
<=> ( big_f @ X3 @ X4 ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ( big_f @ X1 @ X0 )
| ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [X4: $i,X3: $i,X1: $i] :
( ( zip_tseitin_0 @ X4 @ X3 @ X1 )
<=> ( ( big_f @ X1 @ X4 )
<=> ( big_f @ X4 @ X3 ) ) ) ).
thf(zf_stmt_4,conjecture,
? [X1: $i] :
! [X2: $i] :
? [X3: $i] :
! [X4: $i] :
( ( ( big_f @ X1 @ X4 )
<=> ( big_f @ X2 @ X4 ) )
=> ( ( zip_tseitin_1 @ X4 @ X3 @ X1 )
<=> ( big_f @ X4 @ X2 ) ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ? [X1: $i] :
! [X2: $i] :
? [X3: $i] :
! [X4: $i] :
( ( ( big_f @ X1 @ X4 )
<=> ( big_f @ X2 @ X4 ) )
=> ( ( zip_tseitin_1 @ X4 @ X3 @ X1 )
<=> ( big_f @ X4 @ X2 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) )
| ~ ( zip_tseitin_1 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 )
| ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl10]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 )
| ( big_f @ X2 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) )
| ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) )
| ( big_f @ X0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( big_f @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl0]) ).
thf(zip_derived_cl43,plain,
! [X0: $i] :
( ( big_f @ X0 @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) )
| ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) )
| ~ ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ( big_f @ X0 @ X1 )
| ( big_f @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) )
| ( zip_tseitin_1 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ( big_f @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) )
| ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( zip_tseitin_0 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl5]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ ( sk__1 @ X1 @ X0 ) )
| ( big_f @ ( sk__1 @ X1 @ X0 ) @ X1 )
| ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) )
| ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl21]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) )
| ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) )
| ( big_f @ X0 @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( big_f @ X0 @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) )
| ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl8]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ X1 @ X0 ) )
| ~ ( big_f @ X0 @ ( sk__1 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl11_001,plain,
! [X0: $i,X1: $i] :
( ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) )
| ( zip_tseitin_1 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 )
| ( zip_tseitin_0 @ X1 @ X0 @ X2 )
| ~ ( zip_tseitin_1 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) )
| ( zip_tseitin_0 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl4]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 )
| ( big_f @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 @ ( sk__1 @ X0 @ X1 ) )
| ( big_f @ ( sk__1 @ X0 @ X1 ) @ ( sk_ @ X1 ) )
| ( big_f @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ~ ( big_f @ X1 @ ( sk__1 @ X0 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).
thf(zip_derived_cl50,plain,
! [X0: $i] :
( ~ ( big_f @ X0 @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) )
| ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) )
| ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) )
| ~ ( big_f @ X0 @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl33]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) )
| ~ ( big_f @ X0 @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] : ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl53,zip_derived_cl51]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( big_f @ X0 @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) )
| ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl54]) ).
thf(zip_derived_cl9_002,plain,
! [X0: $i,X1: $i] :
( ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ X1 @ X0 ) )
| ~ ( big_f @ X0 @ ( sk__1 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] : ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl9]) ).
thf(zip_derived_cl8_003,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] : ( big_f @ X0 @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl8]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X0 @ X1 )
| ~ ( big_f @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) )
| ~ ( zip_tseitin_1 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_0 @ ( sk__1 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( big_f @ ( sk__1 @ X1 @ X0 ) @ X1 )
| ~ ( big_f @ ( sk__1 @ X1 @ X0 ) @ ( sk_ @ X0 ) )
| ~ ( big_f @ X1 @ ( sk__1 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl22]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) )
| ~ ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) )
| ~ ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl27]) ).
thf(zip_derived_cl54_005,plain,
! [X0: $i] : ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl53,zip_derived_cl51]) ).
thf(zip_derived_cl54_006,plain,
! [X0: $i] : ( big_f @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) @ ( sk_ @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl53,zip_derived_cl51]) ).
thf(zip_derived_cl57_007,plain,
! [X0: $i] : ( big_f @ ( sk_ @ X0 ) @ ( sk__1 @ ( sk_ @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl9]) ).
thf(zip_derived_cl70,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl54,zip_derived_cl54,zip_derived_cl57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v20cqZIanh true
% 0.13/0.36 % Computer : n018.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 18:59:15 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76 % Solved by fo/fo6_bce.sh.
% 0.23/0.76 % BCE start: 12
% 0.23/0.76 % BCE eliminated: 0
% 0.23/0.76 % PE start: 12
% 0.23/0.76 logic: neq
% 0.23/0.76 % PE eliminated: 2
% 0.23/0.76 % done 13 iterations in 0.016s
% 0.23/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.76 % SZS output start Refutation
% See solution above
% 0.23/0.76
% 0.23/0.76
% 0.23/0.76 % Terminating...
% 1.30/0.87 % Runner terminated.
% 1.30/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------