%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN415+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VBkjBMfPvJ true
% Computer : n029.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 : Thu Oct 2 05:04:46 PM UTC 2025
% Result : Theorem 0.62s 0.86s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN415+1 : TPTP v9.2.0. Released v2.0.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VBkjBMfPvJ true
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 13:34:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.59/0.66 % Total configuration time : 435
% 0.59/0.66 % Estimated wc time : 1092
% 0.59/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.86 % Solved by fo/fo1_av.sh.
% 0.62/0.86 % done 72 iterations in 0.035s
% 0.62/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.86 % SZS output start Refutation
% 0.62/0.86 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.62/0.86 thf(sk__1_type, type, sk__1: $i).
% 0.62/0.86 thf(f_type, type, f: $i > $o).
% 0.62/0.86 thf(sk__2_type, type, sk__2: $i).
% 0.62/0.86 thf(sk__type, type, sk_: $i > $i).
% 0.62/0.86 thf(sk__3_type, type, sk__3: $i).
% 0.62/0.86 thf(sk__4_type, type, sk__4: $i).
% 0.62/0.86 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $o).
% 0.62/0.86 thf(kalish317, conjecture,
% 0.62/0.86 (( ( ![Y:$i,Z:$i]: ( ( ( f @ Z ) & ( f @ Y ) ) => ( ( Y ) = ( Z ) ) ) ) &
% 0.62/0.86 ( ?[X:$i]: ( f @ X ) ) ) <=>
% 0.62/0.86 ( ?[U:$i]: ( ( f @ U ) & ( ![V:$i]: ( ( f @ V ) => ( ( U ) = ( V ) ) ) ) ) ))).
% 0.62/0.86 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $o).
% 0.62/0.86 thf(zf_stmt_1, axiom,
% 0.62/0.86 (![U:$i]:
% 0.62/0.86 ( ( zip_tseitin_1 @ U ) <=>
% 0.62/0.86 ( ( ![V:$i]: ( ( f @ V ) => ( ( U ) = ( V ) ) ) ) & ( f @ U ) ) ))).
% 0.62/0.86 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $o).
% 0.62/0.86 thf(zf_stmt_3, axiom,
% 0.62/0.86 (![Z:$i,Y:$i]:
% 0.62/0.86 ( ( zip_tseitin_0 @ Z @ Y ) <=>
% 0.62/0.86 ( ( ( f @ Y ) & ( f @ Z ) ) => ( ( Y ) = ( Z ) ) ) ))).
% 0.62/0.86 thf(zf_stmt_4, conjecture,
% 0.62/0.86 (( ( ?[X:$i]: ( f @ X ) ) & ( ![Y:$i,Z:$i]: ( zip_tseitin_0 @ Z @ Y ) ) ) <=>
% 0.62/0.86 ( ?[U:$i]: ( zip_tseitin_1 @ U ) ))).
% 0.62/0.86 thf(zf_stmt_5, negated_conjecture,
% 0.62/0.86 (~( ( ( ?[X:$i]: ( f @ X ) ) & ( ![Y:$i,Z:$i]: ( zip_tseitin_0 @ Z @ Y ) ) ) <=>
% 0.62/0.86 ( ?[U:$i]: ( zip_tseitin_1 @ U ) ) )),
% 0.62/0.86 inference('cnf.neg', [status(esa)], [zf_stmt_4])).
% 0.62/0.86 thf(zip_derived_cl8, plain, (( (zip_tseitin_1 @ sk__3) | (f @ sk__4))),
% 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.62/0.86 thf(zip_derived_cl11, plain, (( (f @ sk__4)) <= (( (f @ sk__4)))),
% 0.62/0.86 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.86 thf(zip_derived_cl6, plain,
% 0.62/0.86 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | ~ (f @ X0) | (f @ (sk_ @ X0)))),
% 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.62/0.86 thf(zip_derived_cl11, plain, (( (f @ sk__4)) <= (( (f @ sk__4)))),
% 0.62/0.86 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.86 thf(zip_derived_cl9, plain,
% 0.62/0.86 (![X0 : $i, X1 : $i]:
% 0.62/0.86 ( (zip_tseitin_1 @ sk__3) | (zip_tseitin_0 @ X0 @ X1))),
% 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.62/0.86 thf(zip_derived_cl13, plain,
% 0.62/0.86 ((![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1))
% 0.62/0.86 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)))),
% 0.62/0.86 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.62/0.86 thf(zip_derived_cl0, plain,
% 0.62/0.86 (![X0 : $i, X1 : $i]:
% 0.62/0.86 (~ (f @ X0) | ~ (f @ X1) | ((X0) = (X1)) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.62/0.86 thf(zip_derived_cl22, plain,
% 0.62/0.86 ((![X0 : $i, X1 : $i]: (~ (f @ X0) | ~ (f @ X1) | ((X0) = (X1))))
% 0.62/0.86 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)))),
% 0.62/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 0.62/0.86 thf(zip_derived_cl25, plain,
% 0.62/0.86 ((![X0 : $i]: (~ (f @ X0) | ((sk__4) = (X0))))
% 0.62/0.86 <= (( (f @ sk__4)) & (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)))),
% 0.62/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl22])).
% 0.62/0.86 thf(zip_derived_cl71, plain,
% 0.62/0.86 ((![X0 : $i]:
% 0.62/0.86 (~ (f @ X0) | (zip_tseitin_1 @ X0) | ((sk__4) = (sk_ @ X0))))
% 0.62/0.86 <= (( (f @ sk__4)) & (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)))),
% 0.62/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl25])).
% 0.62/0.86 thf(zip_derived_cl7, plain,
% 0.62/0.86 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | ~ (f @ X0) | ((X0) != (sk_ @ X0)))),
% 0.62/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.62/0.86 thf(zip_derived_cl102, plain,
% 0.62/0.86 ((![X0 : $i]:
% 0.62/0.86 ( (zip_tseitin_1 @ X0)
% 0.62/0.86 | ~ (f @ X0)
% 0.62/0.86 | (zip_tseitin_1 @ X0)
% 0.62/0.86 | ~ (f @ X0)
% 0.62/0.86 | ((X0) != (sk__4))))
% 0.62/0.86 <= (( (f @ sk__4)) & (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)))),
% 0.62/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl7])).
% 0.62/0.86 thf(zip_derived_cl104, plain,
% 0.62/0.86 ((![X0 : $i]: (((X0) != (sk__4)) | ~ (f @ X0) | (zip_tseitin_1 @ X0)))
% 0.62/0.86 <= (( (f @ sk__4)) & (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)))),
% 0.62/0.86 inference('simplify', [status(thm)], [zip_derived_cl102])).
% 0.62/0.86 thf(zip_derived_cl10, plain,
% 0.62/0.86 (![X2 : $i, X3 : $i]:
% 0.62/0.87 (~ (zip_tseitin_1 @ X2)
% 0.62/0.87 | ~ (zip_tseitin_0 @ sk__2 @ sk__1)
% 0.62/0.87 | ~ (f @ X3))),
% 0.62/0.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.62/0.87 thf(zip_derived_cl16, plain,
% 0.62/0.87 ((![X2 : $i]: ~ (zip_tseitin_1 @ X2))
% 0.62/0.87 <= ((![X2 : $i]: ~ (zip_tseitin_1 @ X2)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf(zip_derived_cl111, plain,
% 0.62/0.87 ((![X0 : $i]: (~ (f @ X0) | ((X0) != (sk__4))))
% 0.62/0.87 <= (( (f @ sk__4)) &
% 0.62/0.87 (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)) &
% 0.62/0.87 (![X2 : $i]: ~ (zip_tseitin_1 @ X2)))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl16])).
% 0.62/0.87 thf(zip_derived_cl131, plain,
% 0.62/0.87 ((((sk__4) != (sk__4)))
% 0.62/0.87 <= (( (f @ sk__4)) &
% 0.62/0.87 (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)) &
% 0.62/0.87 (![X2 : $i]: ~ (zip_tseitin_1 @ X2)))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl111])).
% 0.62/0.87 thf('0', plain,
% 0.62/0.87 (~ (![X2 : $i]: ~ (zip_tseitin_1 @ X2)) |
% 0.62/0.87 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)) | ~ ( (f @ sk__4))),
% 0.62/0.87 inference('simplify', [status(thm)], [zip_derived_cl131])).
% 0.62/0.87 thf(zip_derived_cl2, plain,
% 0.62/0.87 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | (f @ X0))),
% 0.62/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.62/0.87 thf(zip_derived_cl17, plain,
% 0.62/0.87 ((~ (zip_tseitin_0 @ sk__2 @ sk__1))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf(zip_derived_cl42, plain,
% 0.62/0.87 (( (f @ sk__2)) <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl17])).
% 0.62/0.87 thf(zip_derived_cl4, plain,
% 0.62/0.87 (![X0 : $i, X1 : $i]:
% 0.62/0.87 (~ (f @ X0) | ((X1) = (X0)) | ~ (zip_tseitin_1 @ X1))),
% 0.62/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.62/0.87 thf(zip_derived_cl49, plain,
% 0.62/0.87 ((![X0 : $i]: (((X0) = (sk__2)) | ~ (zip_tseitin_1 @ X0)))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl4])).
% 0.62/0.87 thf(zip_derived_cl12, plain,
% 0.62/0.87 (( (zip_tseitin_1 @ sk__3)) <= (( (zip_tseitin_1 @ sk__3)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.87 thf(zip_derived_cl52, plain,
% 0.62/0.87 ((((sk__3) = (sk__2)))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)) & ( (zip_tseitin_1 @ sk__3)))),
% 0.62/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl12])).
% 0.62/0.87 thf(zip_derived_cl3, plain,
% 0.62/0.87 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | (f @ X1))),
% 0.62/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.62/0.87 thf(zip_derived_cl17, plain,
% 0.62/0.87 ((~ (zip_tseitin_0 @ sk__2 @ sk__1))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf(zip_derived_cl57, plain,
% 0.62/0.87 (( (f @ sk__1)) <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl17])).
% 0.62/0.87 thf(zip_derived_cl4, plain,
% 0.62/0.87 (![X0 : $i, X1 : $i]:
% 0.62/0.87 (~ (f @ X0) | ((X1) = (X0)) | ~ (zip_tseitin_1 @ X1))),
% 0.62/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.62/0.87 thf(zip_derived_cl59, plain,
% 0.62/0.87 ((![X0 : $i]: (((X0) = (sk__1)) | ~ (zip_tseitin_1 @ X0)))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl4])).
% 0.62/0.87 thf(zip_derived_cl12, plain,
% 0.62/0.87 (( (zip_tseitin_1 @ sk__3)) <= (( (zip_tseitin_1 @ sk__3)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.87 thf(zip_derived_cl79, plain,
% 0.62/0.87 ((((sk__3) = (sk__1)))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)) & ( (zip_tseitin_1 @ sk__3)))),
% 0.62/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl12])).
% 0.62/0.87 thf(zip_derived_cl88, plain,
% 0.62/0.87 ((((sk__1) = (sk__2)))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)) & ( (zip_tseitin_1 @ sk__3)))),
% 0.62/0.87 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl79])).
% 0.62/0.87 thf(zip_derived_cl1, plain,
% 0.62/0.87 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ((X1) != (X0)))),
% 0.62/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.62/0.87 thf(zip_derived_cl17, plain,
% 0.62/0.87 ((~ (zip_tseitin_0 @ sk__2 @ sk__1))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf(zip_derived_cl30, plain,
% 0.62/0.87 ((((sk__1) != (sk__2))) <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 0.62/0.87 thf('1', plain,
% 0.62/0.87 (( (zip_tseitin_0 @ sk__2 @ sk__1)) | ~ ( (zip_tseitin_1 @ sk__3))),
% 0.62/0.87 inference('simplify_reflect-', [status(thm)],
% 0.62/0.87 [zip_derived_cl88, zip_derived_cl30])).
% 0.62/0.87 thf(zip_derived_cl13, plain,
% 0.62/0.87 ((![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1))
% 0.62/0.87 <= ((![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.62/0.87 thf(zip_derived_cl17, plain,
% 0.62/0.87 ((~ (zip_tseitin_0 @ sk__2 @ sk__1))
% 0.62/0.87 <= (~ ( (zip_tseitin_0 @ sk__2 @ sk__1)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf('2', plain,
% 0.62/0.87 (( (zip_tseitin_0 @ sk__2 @ sk__1)) |
% 0.62/0.87 ~ (![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl17])).
% 0.62/0.87 thf('3', plain,
% 0.62/0.87 ((![X0 : $i, X1 : $i]: (zip_tseitin_0 @ X0 @ X1)) |
% 0.62/0.87 ( (zip_tseitin_1 @ sk__3))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.62/0.87 thf(zip_derived_cl12, plain,
% 0.62/0.87 (( (zip_tseitin_1 @ sk__3)) <= (( (zip_tseitin_1 @ sk__3)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.87 thf(zip_derived_cl5, plain,
% 0.62/0.87 (![X0 : $i]: ( (f @ X0) | ~ (zip_tseitin_1 @ X0))),
% 0.62/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.62/0.87 thf(zip_derived_cl32, plain,
% 0.62/0.87 (( (f @ sk__3)) <= (( (zip_tseitin_1 @ sk__3)))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl5])).
% 0.62/0.87 thf(zip_derived_cl15, plain,
% 0.62/0.87 ((![X3 : $i]: ~ (f @ X3)) <= ((![X3 : $i]: ~ (f @ X3)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf('4', plain, (~ (![X3 : $i]: ~ (f @ X3)) | ~ ( (zip_tseitin_1 @ sk__3))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl15])).
% 0.62/0.87 thf(zip_derived_cl12, plain,
% 0.62/0.87 (( (zip_tseitin_1 @ sk__3)) <= (( (zip_tseitin_1 @ sk__3)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.87 thf(zip_derived_cl16, plain,
% 0.62/0.87 ((![X2 : $i]: ~ (zip_tseitin_1 @ X2))
% 0.62/0.87 <= ((![X2 : $i]: ~ (zip_tseitin_1 @ X2)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf('5', plain,
% 0.62/0.87 (~ (![X2 : $i]: ~ (zip_tseitin_1 @ X2)) | ~ ( (zip_tseitin_1 @ sk__3))),
% 0.62/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl16])).
% 0.62/0.87 thf('6', plain, (( (f @ sk__4)) | ( (zip_tseitin_1 @ sk__3))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.87 thf(zip_derived_cl15, plain,
% 0.62/0.87 ((![X3 : $i]: ~ (f @ X3)) <= ((![X3 : $i]: ~ (f @ X3)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf(zip_derived_cl11, plain, (( (f @ sk__4)) <= (( (f @ sk__4)))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.87 thf('7', plain, (~ (![X3 : $i]: ~ (f @ X3)) | ~ ( (f @ sk__4))),
% 0.62/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl11])).
% 0.62/0.87 thf('8', plain,
% 0.62/0.87 ((![X3 : $i]: ~ (f @ X3)) | (![X2 : $i]: ~ (zip_tseitin_1 @ X2)) |
% 0.62/0.87 ~ ( (zip_tseitin_0 @ sk__2 @ sk__1))),
% 0.62/0.87 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.62/0.87 thf(zip_derived_cl143, plain, ($false),
% 0.62/0.87 inference('sat_resolution*', [status(thm)],
% 0.62/0.87 ['0', '1', '2', '3', '4', '5', '6', '7', '8'])).
% 0.62/0.87
% 0.62/0.87 % SZS output end Refutation
% 0.62/0.87
% 0.62/0.87
% 0.62/0.87 % Terminating...
% 0.67/0.99 % Runner terminated.
% 0.67/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------