TSTP Solution File: SYN077+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN077+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.MNDQhhf1A3 true
% Computer : n031.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 04:01:36 EDT 2023
% Result : Theorem 1.33s 0.77s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 143 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 563 ( 66 ~; 82 |; 4 &; 406 @)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 0 ^; 59 !; 7 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i ).
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(pel54,conjecture,
~ ? [W: $i] :
! [X: $i] :
( ( big_f @ X @ W )
<=> ! [U: $i] :
( ( big_f @ X @ U )
=> ? [Y: $i] :
( ~ ? [Z: $i] :
( ( big_f @ Z @ Y )
& ( big_f @ Z @ U ) )
& ( big_f @ Y @ U ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [W: $i] :
! [X: $i] :
( ( big_f @ X @ W )
<=> ! [U: $i] :
( ( big_f @ X @ U )
=> ? [Y: $i] :
( ~ ? [Z: $i] :
( ( big_f @ Z @ Y )
& ( big_f @ Z @ U ) )
& ( big_f @ Y @ U ) ) ) ),
inference('cnf.neg',[status(esa)],[pel54]) ).
thf(zip_derived_cl4,plain,
! [X3: $i,X4: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ ( sk__3 @ X4 @ X3 ) @ ( sk__2 @ X3 ) )
| ~ ( big_f @ X4 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_001,plain,
! [X3: $i,X4: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ ( sk__3 @ X4 @ X3 ) @ ( sk__2 @ X3 ) )
| ~ ( big_f @ X4 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X3: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ X3 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_002,plain,
! [X3: $i,X4: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ ( sk__3 @ X4 @ X3 ) @ ( sk__2 @ X3 ) )
| ~ ( big_f @ X4 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_003,plain,
! [X3: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ X3 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X3: $i,X4: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ ( sk__3 @ X4 @ X3 ) @ X4 )
| ~ ( big_f @ X4 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 @ X1 )
| ( big_f @ ( sk__4 @ X1 ) @ X1 )
| ~ ( big_f @ X0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ sk__1 @ ( sk__2 @ X0 ) )
| ( big_f @ X0 @ sk__1 )
| ~ ( big_f @ ( sk__3 @ sk__1 @ X0 ) @ X1 )
| ( big_f @ ( sk__4 @ X1 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl74,plain,
! [X0: $i] :
( ( big_f @ sk__1 @ sk__1 )
| ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ ( sk__3 @ sk__1 @ sk__1 ) @ X0 )
| ( big_f @ ( sk__4 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl49]) ).
thf(zip_derived_cl75,plain,
! [X0: $i] :
( ( big_f @ ( sk__4 @ X0 ) @ X0 )
| ~ ( big_f @ ( sk__3 @ sk__1 @ sk__1 ) @ X0 )
| ( big_f @ sk__1 @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl89,plain,
( ~ ( big_f @ sk__1 @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 )
| ( big_f @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl75]) ).
thf(zip_derived_cl91,plain,
( ( big_f @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ sk__1 @ ( sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 @ X1 )
| ( big_f @ ( sk__4 @ X1 ) @ X1 )
| ~ ( big_f @ X0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112,plain,
( ~ ( big_f @ sk__1 @ ( sk__2 @ sk__1 ) )
| ( big_f @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ ( sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl2]) ).
thf(zip_derived_cl113,plain,
( ( big_f @ sk__1 @ sk__1 )
| ( big_f @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ ( sk__2 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl5_005,plain,
! [X3: $i,X4: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ ( sk__3 @ X4 @ X3 ) @ X4 )
| ~ ( big_f @ X4 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_006,plain,
! [X3: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ X3 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_007,plain,
! [X3: $i,X4: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ ( sk__3 @ X4 @ X3 ) @ X4 )
| ~ ( big_f @ X4 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 )
| ~ ( big_f @ X2 @ X1 )
| ~ ( big_f @ X2 @ ( sk__4 @ X1 ) )
| ~ ( big_f @ X0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ sk__1 @ ( sk__2 @ X0 ) )
| ( big_f @ X0 @ sk__1 )
| ~ ( big_f @ ( sk__3 @ sk__1 @ X0 ) @ X1 )
| ~ ( big_f @ X2 @ X1 )
| ~ ( big_f @ X2 @ ( sk__4 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i] :
( ( big_f @ sk__1 @ sk__1 )
| ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ ( sk__3 @ sk__1 @ sk__1 ) @ X0 )
| ~ ( big_f @ X1 @ X0 )
| ~ ( big_f @ X1 @ ( sk__4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl50]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X1 @ ( sk__4 @ X0 ) )
| ~ ( big_f @ X1 @ X0 )
| ~ ( big_f @ ( sk__3 @ sk__1 @ sk__1 ) @ X0 )
| ( big_f @ sk__1 @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ ( sk__4 @ X0 ) @ ( sk__2 @ X1 ) )
| ( big_f @ X1 @ sk__1 )
| ~ ( big_f @ ( sk__3 @ ( sk__4 @ X0 ) @ X1 ) @ X0 )
| ~ ( big_f @ ( sk__3 @ sk__1 @ sk__1 ) @ X0 )
| ( big_f @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl54]) ).
thf(zip_derived_cl116,plain,
( ( big_f @ sk__1 @ sk__1 )
| ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ ( sk__3 @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ sk__1 ) @ ( sk__2 @ sk__1 ) )
| ~ ( big_f @ ( sk__3 @ sk__1 @ sk__1 ) @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl84]) ).
thf(zip_derived_cl120,plain,
( ~ ( big_f @ ( sk__3 @ sk__1 @ sk__1 ) @ ( sk__2 @ sk__1 ) )
| ~ ( big_f @ ( sk__3 @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ sk__1 ) @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl152,plain,
( ~ ( big_f @ sk__1 @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ ( sk__3 @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ sk__1 ) @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl120]) ).
thf(zip_derived_cl153,plain,
( ~ ( big_f @ ( sk__3 @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ sk__1 ) @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ sk__1 @ ( sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl152]) ).
thf(zip_derived_cl6_008,plain,
! [X3: $i] :
( ( big_f @ X3 @ sk__1 )
| ( big_f @ X3 @ ( sk__2 @ X3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl154,plain,
( ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ ( sk__3 @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ sk__1 ) @ ( sk__2 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl153,zip_derived_cl6]) ).
thf(zip_derived_cl155,plain,
( ~ ( big_f @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ ( sk__2 @ sk__1 ) )
| ( big_f @ sk__1 @ sk__1 )
| ( big_f @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl154]) ).
thf(zip_derived_cl156,plain,
( ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ ( sk__2 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl155]) ).
thf(zip_derived_cl113_009,plain,
( ( big_f @ sk__1 @ sk__1 )
| ( big_f @ ( sk__4 @ ( sk__2 @ sk__1 ) ) @ ( sk__2 @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl158,plain,
big_f @ sk__1 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl156,zip_derived_cl113]) ).
thf(zip_derived_cl2_010,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X0 @ X1 )
| ( big_f @ ( sk__4 @ X1 ) @ X1 )
| ~ ( big_f @ X0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl159,plain,
! [X0: $i] :
( ~ ( big_f @ sk__1 @ X0 )
| ( big_f @ ( sk__4 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl2]) ).
thf(pel54_1,axiom,
! [Y: $i] :
? [Z: $i] :
! [X: $i] :
( ( big_f @ X @ Z )
<=> ( X = Y ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( big_f @ X1 @ ( sk_ @ X0 ) ) ),
inference(cnf,[status(esa)],[pel54_1]) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ~ ( big_f @ sk__1 @ ( sk_ @ X0 ) )
| ( ( sk__4 @ ( sk_ @ X0 ) )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( big_f @ X0 @ ( sk_ @ X1 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[pel54_1]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] : ( big_f @ X0 @ ( sk_ @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl41_011,plain,
! [X0: $i] : ( big_f @ X0 @ ( sk_ @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl158_012,plain,
big_f @ sk__1 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl156,zip_derived_cl113]) ).
thf(zip_derived_cl3_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 )
| ~ ( big_f @ X2 @ X1 )
| ~ ( big_f @ X2 @ ( sk__4 @ X1 ) )
| ~ ( big_f @ X0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl160,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ sk__1 @ X0 )
| ~ ( big_f @ X1 @ X0 )
| ~ ( big_f @ X1 @ ( sk__4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl3]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] :
( ~ ( big_f @ X0 @ ( sk_ @ sk__1 ) )
| ~ ( big_f @ X0 @ ( sk__4 @ ( sk_ @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl160]) ).
thf(zip_derived_cl168,plain,
~ ( big_f @ sk__1 @ ( sk__4 @ ( sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl162]) ).
thf(zip_derived_cl199,plain,
( ~ ( big_f @ sk__1 @ ( sk_ @ sk__1 ) )
| ~ ( big_f @ sk__1 @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl168]) ).
thf(zip_derived_cl41_014,plain,
! [X0: $i] : ( big_f @ X0 @ ( sk_ @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl158_015,plain,
big_f @ sk__1 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl156,zip_derived_cl113]) ).
thf(zip_derived_cl203,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl41,zip_derived_cl158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MNDQhhf1A3 true
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 21:15:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.33/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.33/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.33/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.33/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.33/0.77 % Solved by fo/fo6_bce.sh.
% 1.33/0.77 % BCE start: 7
% 1.33/0.77 % BCE eliminated: 0
% 1.33/0.77 % PE start: 7
% 1.33/0.77 logic: eq
% 1.33/0.77 % PE eliminated: 0
% 1.33/0.77 % done 60 iterations in 0.039s
% 1.33/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.77 % SZS output start Refutation
% See solution above
% 1.33/0.77
% 1.33/0.77
% 1.33/0.77 % Terminating...
% 1.47/0.85 % Runner terminated.
% 1.47/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------