TSTP Solution File: SYN332+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN332+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.YxMOD3Q9wj true
% Computer : n032.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 04:02:46 EDT 2023
% Result : Theorem 0.13s 0.59s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 50 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 120 ( 0 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 410 ( 40 ~; 42 |; 2 &; 292 @)
% ( 19 <=>; 14 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 79 ( 0 ^; 73 !; 6 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(church_46_14_4,conjecture,
? [X: $i,Y: $i] :
! [Z: $i] :
( ( ( ( big_f @ Y @ X )
& ( big_f @ X @ Y ) )
<~> ( big_f @ X @ Z ) )
=> ( ( ( big_f @ X @ Z )
<=> ( big_f @ Z @ X ) )
=> ( ( ( big_f @ X @ Z )
<=> ( big_f @ Y @ Z ) )
=> ( ( ( ( big_f @ Y @ X )
=> ( big_f @ X @ Y ) )
<=> ( big_f @ Z @ Z ) )
=> ( ( ( big_f @ X @ Y )
<=> ( big_f @ Y @ X ) )
<=> ( big_f @ Z @ Y ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_0 @ Y @ X )
<=> ( ( big_f @ X @ Y )
& ( big_f @ Y @ X ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( big_f @ X0 @ X1 )
| ~ ( big_f @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_2 @ Y @ X )
<=> ( ( big_f @ X @ Y )
<=> ( big_f @ Y @ X ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [Y: $i,X: $i] :
( ( zip_tseitin_1 @ Y @ X )
<=> ( ( big_f @ Y @ X )
=> ( big_f @ X @ Y ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_6,conjecture,
? [X: $i,Y: $i] :
! [Z: $i] :
( ~ ( ( zip_tseitin_0 @ Y @ X )
<=> ( big_f @ X @ Z ) )
=> ( ( ( big_f @ X @ Z )
<=> ( big_f @ Z @ X ) )
=> ( ( ( big_f @ X @ Z )
<=> ( big_f @ Y @ Z ) )
=> ( ( ( zip_tseitin_1 @ Y @ X )
<=> ( big_f @ Z @ Z ) )
=> ( ( zip_tseitin_2 @ Y @ X )
<=> ( big_f @ Z @ Y ) ) ) ) ) ) ).
thf(zf_stmt_7,negated_conjecture,
~ ? [X: $i,Y: $i] :
! [Z: $i] :
( ~ ( ( zip_tseitin_0 @ Y @ X )
<=> ( big_f @ X @ Z ) )
=> ( ( ( big_f @ X @ Z )
<=> ( big_f @ Z @ X ) )
=> ( ( ( big_f @ X @ Z )
<=> ( big_f @ Y @ Z ) )
=> ( ( ( zip_tseitin_1 @ Y @ X )
<=> ( big_f @ Z @ Z ) )
=> ( ( zip_tseitin_2 @ Y @ X )
<=> ( big_f @ Z @ Y ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 @ X1 )
| ~ ( big_f @ X1 @ X0 )
| ~ ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) )
| ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) )
| ( big_f @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X1 @ ( sk_ @ X1 @ X0 ) )
| ~ ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X1 @ X0 )
| ( big_f @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X1 @ X0 )
| ~ ( big_f @ ( sk_ @ X1 @ X0 ) @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 @ X1 )
| ( big_f @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ ( sk_ @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) )
| ( big_f @ X1 @ X0 )
| ~ ( big_f @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl3]) ).
thf(zip_derived_cl27_001,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) )
| ( big_f @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( big_f @ ( sk_ @ X1 @ X0 ) @ X0 )
| ~ ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( big_f @ X0 @ X1 )
| ( big_f @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ ( sk_ @ X1 @ X0 ) @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X1 @ X0 )
| ( big_f @ X0 @ X1 )
| ~ ( big_f @ ( sk_ @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ~ ( big_f @ X0 @ ( sk_ @ X0 @ X0 ) )
| ( big_f @ X0 @ X0 )
| ( big_f @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl40]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( big_f @ X0 @ X0 )
| ~ ( big_f @ X0 @ ( sk_ @ X0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl18_002,plain,
! [X0: $i,X1: $i] :
( ( big_f @ ( sk_ @ X1 @ X0 ) @ X0 )
| ~ ( big_f @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( big_f @ X0 @ X1 )
| ~ ( big_f @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl15_003,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ ( sk_ @ X1 @ X0 ) @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X1 @ X0 )
| ~ ( big_f @ X0 @ X1 )
| ~ ( big_f @ ( sk_ @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl15]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( big_f @ X0 @ ( sk_ @ X0 @ X0 ) )
| ~ ( big_f @ X0 @ X0 )
| ~ ( big_f @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl37]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ~ ( big_f @ X0 @ X0 )
| ~ ( big_f @ X0 @ ( sk_ @ X0 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
~ ( big_f @ X0 @ ( sk_ @ X0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl58]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] : ( big_f @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl69]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X1 @ X0 )
| ~ ( big_f @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl70]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X1 @ X0 )
| ( big_f @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl75]) ).
thf(zip_derived_cl40_004,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X1 @ X0 )
| ( big_f @ X0 @ X1 )
| ~ ( big_f @ ( sk_ @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ X1 )
| ( big_f @ X1 @ X0 )
| ( big_f @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl40]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X1 @ X0 )
| ( big_f @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl75_005,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X1 @ X0 )
| ~ ( big_f @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl70]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 ),
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl75]) ).
thf(zip_derived_cl91_006,plain,
! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 ),
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl75]) ).
thf(zip_derived_cl91_007,plain,
! [X0: $i,X1: $i] : ( big_f @ X0 @ X1 ),
inference(clc,[status(thm)],[zip_derived_cl90,zip_derived_cl75]) ).
thf(zip_derived_cl92,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl91,zip_derived_cl91,zip_derived_cl91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YxMOD3Q9wj true
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sat Aug 26 20:52:29 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Running portfolio for 300 s
% 0.08/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Number of cores: 8
% 0.08/0.29 % Python version: Python 3.6.8
% 0.08/0.29 % Running in FO mode
% 0.13/0.50 % Total configuration time : 435
% 0.13/0.50 % Estimated wc time : 1092
% 0.13/0.50 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.58 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.13/0.59 % Solved by fo/fo6_bce.sh.
% 0.13/0.59 % BCE start: 20
% 0.13/0.59 % BCE eliminated: 0
% 0.13/0.59 % PE start: 20
% 0.13/0.59 logic: neq
% 0.13/0.59 % PE eliminated: 6
% 0.13/0.59 % done 25 iterations in 0.018s
% 0.13/0.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.13/0.59 % SZS output start Refutation
% See solution above
% 0.13/0.59
% 0.13/0.59
% 0.13/0.59 % Terminating...
% 0.13/0.63 % Runner terminated.
% 0.13/0.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------