%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN015-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JRFv7thJD3 true
% Computer : n013.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 05:03:44 PM UTC 2025
% Result : Unsatisfiable 0.49s 0.85s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN015-2 : TPTP v9.2.0. Released v1.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JRFv7thJD3 true
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 13:38:53 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.39/0.61 % Total configuration time : 435
% 0.39/0.61 % Estimated wc time : 1092
% 0.39/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.85 % Solved by fo/fo7.sh.
% 0.49/0.85 % done 138 iterations in 0.132s
% 0.49/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.85 % SZS output start Refutation
% 0.49/0.85 thf(element_type, type, element: $i > $i > $o).
% 0.49/0.85 thf(m_type, type, m: $i).
% 0.49/0.85 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.49/0.85 thf(n_type, type, n: $i).
% 0.49/0.85 thf(k_type, type, k: $i).
% 0.49/0.85 thf(f_type, type, f: $i > $i).
% 0.49/0.85 thf(c_19, conjecture, (equalish @ m @ n)).
% 0.49/0.85 thf(zf_stmt_0, negated_conjecture, (~( equalish @ m @ n )),
% 0.49/0.85 inference('cnf.neg', [status(esa)], [c_19])).
% 0.49/0.85 thf(zip_derived_cl21, plain, (~ (equalish @ m @ n)),
% 0.49/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.85 thf(reflexivityish, axiom, (equalish @ X @ X)).
% 0.49/0.85 thf(zip_derived_cl0, plain, (![X0 : $i]: (equalish @ X0 @ X0)),
% 0.49/0.85 inference('cnf', [status(esa)], [reflexivityish])).
% 0.49/0.85 thf(c_16, conjecture,
% 0.49/0.85 (~( ( equalish @ A @ k ) | ( element @ A @ k ) | ( ~( equalish @ A @ n ) ) ))).
% 0.49/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.49/0.85 (( equalish @ A @ k ) | ( element @ A @ k ) | ( ~( equalish @ A @ n ) )),
% 0.49/0.85 inference('cnf.neg', [status(esa)], [c_16])).
% 0.49/0.85 thf(zip_derived_cl18, plain,
% 0.49/0.85 (![X0 : $i]:
% 0.49/0.85 ( (equalish @ X0 @ k) | (element @ X0 @ k) | ~ (equalish @ X0 @ n))),
% 0.49/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.85 thf(zip_derived_cl98, plain, (( (element @ n @ k) | (equalish @ n @ k))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl18])).
% 0.49/0.85 thf(c_20, conjecture, (equalish @ n @ k)).
% 0.49/0.85 thf(zf_stmt_2, negated_conjecture, (~( equalish @ n @ k )),
% 0.49/0.85 inference('cnf.neg', [status(esa)], [c_20])).
% 0.49/0.85 thf(zip_derived_cl22, plain, (~ (equalish @ n @ k)),
% 0.49/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.49/0.85 thf(zip_derived_cl100, plain, ( (element @ n @ k)),
% 0.49/0.85 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl22])).
% 0.49/0.85 thf(c_23, conjecture, (~( equalish @ m @ k ))).
% 0.49/0.85 thf(zf_stmt_3, negated_conjecture, (equalish @ m @ k),
% 0.49/0.85 inference('cnf.neg', [status(esa)], [c_23])).
% 0.49/0.85 thf(zip_derived_cl25, plain, ( (equalish @ m @ k)),
% 0.49/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.85 thf(symmetryish, axiom, (( ~( equalish @ X @ Y ) ) | ( equalish @ Y @ X ))).
% 0.49/0.85 thf(zip_derived_cl1, plain,
% 0.49/0.85 (![X0 : $i, X1 : $i]: (~ (equalish @ X0 @ X1) | (equalish @ X1 @ X0))),
% 0.49/0.85 inference('cnf', [status(esa)], [symmetryish])).
% 0.49/0.85 thf(zip_derived_cl33, plain, ( (equalish @ k @ m)),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl1])).
% 0.49/0.85 thf(element_substitutionish1, axiom,
% 0.49/0.85 (( ~( equalish @ A @ B ) ) | ( ~( element @ C @ A ) ) | ( element @ C @ B ))).
% 0.49/0.85 thf(zip_derived_cl3, plain,
% 0.49/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.85 (~ (equalish @ X0 @ X1) | ~ (element @ X2 @ X0) | (element @ X2 @ X1))),
% 0.49/0.85 inference('cnf', [status(esa)], [element_substitutionish1])).
% 0.49/0.85 thf(zip_derived_cl39, plain,
% 0.49/0.85 (![X0 : $i]: ( (element @ X0 @ m) | ~ (element @ X0 @ k))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl3])).
% 0.49/0.85 thf(c_8, conjecture,
% 0.49/0.85 (~( ( equalish @ A @ m ) | ( ~( element @ A @ m ) ) |
% 0.49/0.85 ( element @ ( f @ A ) @ A ) ))).
% 0.49/0.85 thf(zf_stmt_4, negated_conjecture,
% 0.49/0.85 (( equalish @ A @ m ) | ( ~( element @ A @ m ) ) |
% 0.49/0.85 ( element @ ( f @ A ) @ A )),
% 0.49/0.85 inference('cnf.neg', [status(esa)], [c_8])).
% 0.49/0.85 thf(zip_derived_cl10, plain,
% 0.49/0.85 (![X0 : $i]:
% 0.49/0.85 ( (equalish @ X0 @ m)
% 0.49/0.85 | ~ (element @ X0 @ m)
% 0.49/0.85 | (element @ (f @ X0) @ X0))),
% 0.49/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.49/0.85 thf(zip_derived_cl107, plain,
% 0.49/0.85 (![X0 : $i]:
% 0.49/0.85 (~ (element @ X0 @ k)
% 0.49/0.85 | (element @ (f @ X0) @ X0)
% 0.49/0.85 | (equalish @ X0 @ m))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl10])).
% 0.49/0.85 thf(zip_derived_cl114, plain,
% 0.49/0.85 (( (equalish @ n @ m) | (element @ (f @ n) @ n))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl107])).
% 0.49/0.85 thf(zip_derived_cl100, plain, ( (element @ n @ k)),
% 0.49/0.85 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl22])).
% 0.49/0.85 thf(zip_derived_cl39, plain,
% 0.49/0.85 (![X0 : $i]: ( (element @ X0 @ m) | ~ (element @ X0 @ k))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl3])).
% 0.49/0.85 thf(c_7, conjecture,
% 0.49/0.85 (~( ( equalish @ A @ m ) | ( ~( element @ A @ m ) ) |
% 0.49/0.85 ( element @ A @ ( f @ A ) ) ))).
% 0.49/0.85 thf(zf_stmt_5, negated_conjecture,
% 0.49/0.85 (( equalish @ A @ m ) | ( ~( element @ A @ m ) ) |
% 0.49/0.85 ( element @ A @ ( f @ A ) )),
% 0.49/0.85 inference('cnf.neg', [status(esa)], [c_7])).
% 0.49/0.85 thf(zip_derived_cl9, plain,
% 0.49/0.85 (![X0 : $i]:
% 0.49/0.85 ( (equalish @ X0 @ m)
% 0.49/0.85 | ~ (element @ X0 @ m)
% 0.49/0.85 | (element @ X0 @ (f @ X0)))),
% 0.49/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.85 thf(zip_derived_cl104, plain,
% 0.49/0.85 (![X0 : $i]:
% 0.49/0.85 (~ (element @ X0 @ k)
% 0.49/0.85 | (element @ X0 @ (f @ X0))
% 0.49/0.85 | (equalish @ X0 @ m))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl9])).
% 0.49/0.85 thf(zip_derived_cl111, plain,
% 0.49/0.85 (( (equalish @ n @ m) | (element @ n @ (f @ n)))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl104])).
% 0.49/0.85 thf(c_9, conjecture,
% 0.49/0.85 (~( ( equalish @ B @ m ) | ( element @ B @ m ) | ( equalish @ A @ m ) |
% 0.49/0.85 ( equalish @ A @ B ) | ( ~( element @ B @ A ) ) |
% 0.49/0.85 ( ~( element @ A @ B ) ) ))).
% 0.49/0.85 thf(zf_stmt_6, negated_conjecture,
% 0.49/0.85 (( equalish @ B @ m ) | ( element @ B @ m ) | ( equalish @ A @ m ) |
% 0.49/0.85 ( equalish @ A @ B ) | ( ~( element @ B @ A ) ) | ( ~( element @ A @ B ) )),
% 0.49/0.85 inference('cnf.neg', [status(esa)], [c_9])).
% 0.49/0.85 thf(zip_derived_cl11, plain,
% 0.49/0.85 (![X0 : $i, X1 : $i]:
% 0.49/0.85 ( (equalish @ X0 @ m)
% 0.49/0.85 | (element @ X0 @ m)
% 0.49/0.85 | (equalish @ X1 @ m)
% 0.49/0.85 | (equalish @ X1 @ X0)
% 0.49/0.85 | ~ (element @ X0 @ X1)
% 0.49/0.85 | ~ (element @ X1 @ X0))),
% 0.49/0.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.49/0.85 thf(zip_derived_cl3, plain,
% 0.49/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.85 (~ (equalish @ X0 @ X1) | ~ (element @ X2 @ X0) | (element @ X2 @ X1))),
% 0.49/0.85 inference('cnf', [status(esa)], [element_substitutionish1])).
% 0.49/0.85 thf(zip_derived_cl122, plain,
% 0.49/0.85 (![X0 : $i, X1 : $i]:
% 0.49/0.85 (~ (element @ X1 @ X0)
% 0.49/0.85 | ~ (element @ X0 @ X1)
% 0.49/0.85 | (equalish @ X1 @ X0)
% 0.49/0.85 | (element @ X0 @ m)
% 0.49/0.85 | (equalish @ X0 @ m))),
% 0.49/0.85 inference('clc', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 0.49/0.85 thf(zip_derived_cl135, plain,
% 0.49/0.85 (( (equalish @ n @ m)
% 0.49/0.85 | (equalish @ (f @ n) @ m)
% 0.49/0.85 | (element @ (f @ n) @ m)
% 0.49/0.85 | (equalish @ n @ (f @ n))
% 0.49/0.85 | ~ (element @ (f @ n) @ n))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl122])).
% 0.49/0.85 thf(zip_derived_cl3, plain,
% 0.49/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.85 (~ (equalish @ X0 @ X1) | ~ (element @ X2 @ X0) | (element @ X2 @ X1))),
% 0.49/0.85 inference('cnf', [status(esa)], [element_substitutionish1])).
% 0.49/0.85 thf(zip_derived_cl363, plain,
% 0.49/0.85 ((~ (element @ (f @ n) @ n)
% 0.49/0.85 | (equalish @ n @ (f @ n))
% 0.49/0.85 | (element @ (f @ n) @ m)
% 0.49/0.85 | (equalish @ (f @ n) @ m))),
% 0.49/0.85 inference('clc', [status(thm)], [zip_derived_cl135, zip_derived_cl3])).
% 0.49/0.85 thf(zip_derived_cl364, plain,
% 0.49/0.85 (( (equalish @ n @ m)
% 0.49/0.85 | (equalish @ (f @ n) @ m)
% 0.49/0.85 | (element @ (f @ n) @ m)
% 0.49/0.85 | (equalish @ n @ (f @ n)))),
% 0.49/0.85 inference('sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl363])).
% 0.49/0.85 thf(zip_derived_cl100, plain, ( (element @ n @ k)),
% 0.49/0.85 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl22])).
% 0.49/0.86 thf(zip_derived_cl39, plain,
% 0.49/0.86 (![X0 : $i]: ( (element @ X0 @ m) | ~ (element @ X0 @ k))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl3])).
% 0.49/0.86 thf(c_5, conjecture,
% 0.49/0.86 (~( ( equalish @ A @ m ) | ( ~( element @ A @ m ) ) |
% 0.49/0.86 ( ~( equalish @ ( f @ A ) @ m ) ) ))).
% 0.49/0.86 thf(zf_stmt_7, negated_conjecture,
% 0.49/0.86 (( equalish @ A @ m ) | ( ~( element @ A @ m ) ) |
% 0.49/0.86 ( ~( equalish @ ( f @ A ) @ m ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [c_5])).
% 0.49/0.86 thf(zip_derived_cl7, plain,
% 0.49/0.86 (![X0 : $i]:
% 0.49/0.86 ( (equalish @ X0 @ m)
% 0.49/0.86 | ~ (element @ X0 @ m)
% 0.49/0.86 | ~ (equalish @ (f @ X0) @ m))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.49/0.86 thf(zip_derived_cl50, plain,
% 0.49/0.86 (![X0 : $i]:
% 0.49/0.86 (~ (element @ X0 @ k)
% 0.49/0.86 | ~ (equalish @ (f @ X0) @ m)
% 0.49/0.86 | (equalish @ X0 @ m))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl7])).
% 0.49/0.86 thf(zip_derived_cl102, plain,
% 0.49/0.86 (( (equalish @ n @ m) | ~ (equalish @ (f @ n) @ m))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl50])).
% 0.49/0.86 thf(zip_derived_cl365, plain,
% 0.49/0.86 (( (equalish @ n @ (f @ n))
% 0.49/0.86 | (element @ (f @ n) @ m)
% 0.49/0.86 | (equalish @ n @ m))),
% 0.49/0.86 inference('clc', [status(thm)], [zip_derived_cl364, zip_derived_cl102])).
% 0.49/0.86 thf(zip_derived_cl25, plain, ( (equalish @ m @ k)),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.86 thf(zip_derived_cl3, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.86 (~ (equalish @ X0 @ X1) | ~ (element @ X2 @ X0) | (element @ X2 @ X1))),
% 0.49/0.86 inference('cnf', [status(esa)], [element_substitutionish1])).
% 0.49/0.86 thf(zip_derived_cl35, plain,
% 0.49/0.86 (![X0 : $i]: ( (element @ X0 @ k) | ~ (element @ X0 @ m))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl3])).
% 0.49/0.86 thf(zip_derived_cl373, plain,
% 0.49/0.86 (( (equalish @ n @ m)
% 0.49/0.86 | (equalish @ n @ (f @ n))
% 0.49/0.86 | (element @ (f @ n) @ k))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl35])).
% 0.49/0.86 thf(c_17, conjecture,
% 0.49/0.86 (~( ( equalish @ A @ k ) | ( equalish @ A @ m ) | ( equalish @ A @ n ) |
% 0.49/0.86 ( ~( element @ A @ k ) ) ))).
% 0.49/0.86 thf(zf_stmt_8, negated_conjecture,
% 0.49/0.86 (( equalish @ A @ k ) | ( equalish @ A @ m ) | ( equalish @ A @ n ) |
% 0.49/0.86 ( ~( element @ A @ k ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [c_17])).
% 0.49/0.86 thf(zip_derived_cl19, plain,
% 0.49/0.86 (![X0 : $i]:
% 0.49/0.86 ( (equalish @ X0 @ k)
% 0.49/0.86 | (equalish @ X0 @ m)
% 0.49/0.86 | (equalish @ X0 @ n)
% 0.49/0.86 | ~ (element @ X0 @ k))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.49/0.86 thf(zip_derived_cl380, plain,
% 0.49/0.86 (( (equalish @ n @ (f @ n))
% 0.49/0.86 | (equalish @ n @ m)
% 0.49/0.86 | (equalish @ (f @ n) @ n)
% 0.49/0.86 | (equalish @ (f @ n) @ m)
% 0.49/0.86 | (equalish @ (f @ n) @ k))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl19])).
% 0.49/0.86 thf(zip_derived_cl1, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i]: (~ (equalish @ X0 @ X1) | (equalish @ X1 @ X0))),
% 0.49/0.86 inference('cnf', [status(esa)], [symmetryish])).
% 0.49/0.86 thf(zip_derived_cl410, plain,
% 0.49/0.86 (( (equalish @ (f @ n) @ k)
% 0.49/0.86 | (equalish @ (f @ n) @ m)
% 0.49/0.86 | (equalish @ (f @ n) @ n)
% 0.49/0.86 | (equalish @ n @ m))),
% 0.49/0.86 inference('clc', [status(thm)], [zip_derived_cl380, zip_derived_cl1])).
% 0.49/0.86 thf(zip_derived_cl102, plain,
% 0.49/0.86 (( (equalish @ n @ m) | ~ (equalish @ (f @ n) @ m))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl50])).
% 0.49/0.86 thf(zip_derived_cl411, plain,
% 0.49/0.86 (( (equalish @ n @ m)
% 0.49/0.86 | (equalish @ (f @ n) @ n)
% 0.49/0.86 | (equalish @ (f @ n) @ k))),
% 0.49/0.86 inference('clc', [status(thm)], [zip_derived_cl410, zip_derived_cl102])).
% 0.49/0.86 thf(zip_derived_cl100, plain, ( (element @ n @ k)),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl22])).
% 0.49/0.86 thf(zip_derived_cl39, plain,
% 0.49/0.86 (![X0 : $i]: ( (element @ X0 @ m) | ~ (element @ X0 @ k))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl3])).
% 0.49/0.86 thf(c_6, conjecture,
% 0.49/0.86 (~( ( equalish @ A @ m ) | ( ~( element @ A @ m ) ) |
% 0.49/0.86 ( ~( equalish @ ( f @ A ) @ A ) ) ))).
% 0.49/0.86 thf(zf_stmt_9, negated_conjecture,
% 0.49/0.86 (( equalish @ A @ m ) | ( ~( element @ A @ m ) ) |
% 0.49/0.86 ( ~( equalish @ ( f @ A ) @ A ) )),
% 0.49/0.86 inference('cnf.neg', [status(esa)], [c_6])).
% 0.49/0.86 thf(zip_derived_cl8, plain,
% 0.49/0.86 (![X0 : $i]:
% 0.49/0.86 ( (equalish @ X0 @ m)
% 0.49/0.86 | ~ (element @ X0 @ m)
% 0.49/0.86 | ~ (equalish @ (f @ X0) @ X0))),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.49/0.86 thf(zip_derived_cl51, plain,
% 0.49/0.86 (![X0 : $i]:
% 0.49/0.86 (~ (element @ X0 @ k)
% 0.49/0.86 | ~ (equalish @ (f @ X0) @ X0)
% 0.49/0.86 | (equalish @ X0 @ m))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl8])).
% 0.49/0.86 thf(zip_derived_cl103, plain,
% 0.49/0.86 (( (equalish @ n @ m) | ~ (equalish @ (f @ n) @ n))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl51])).
% 0.49/0.86 thf(zip_derived_cl412, plain,
% 0.49/0.86 (( (equalish @ (f @ n) @ k) | (equalish @ n @ m))),
% 0.49/0.86 inference('clc', [status(thm)], [zip_derived_cl411, zip_derived_cl103])).
% 0.49/0.86 thf(zip_derived_cl1, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i]: (~ (equalish @ X0 @ X1) | (equalish @ X1 @ X0))),
% 0.49/0.86 inference('cnf', [status(esa)], [symmetryish])).
% 0.49/0.86 thf(zip_derived_cl413, plain,
% 0.49/0.86 (( (equalish @ n @ m) | (equalish @ k @ (f @ n)))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl1])).
% 0.49/0.86 thf(zip_derived_cl25, plain, ( (equalish @ m @ k)),
% 0.49/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.86 thf(transitivityish, axiom,
% 0.49/0.86 (( ~( equalish @ X @ Y ) ) | ( ~( equalish @ Y @ Z ) ) |
% 0.49/0.86 ( equalish @ X @ Z ))).
% 0.49/0.86 thf(zip_derived_cl2, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.86 (~ (equalish @ X0 @ X1)
% 0.49/0.86 | ~ (equalish @ X1 @ X2)
% 0.49/0.86 | (equalish @ X0 @ X2))),
% 0.49/0.86 inference('cnf', [status(esa)], [transitivityish])).
% 0.49/0.86 thf(zip_derived_cl34, plain,
% 0.49/0.86 (![X0 : $i]: ( (equalish @ m @ X0) | ~ (equalish @ k @ X0))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl2])).
% 0.49/0.86 thf(zip_derived_cl1, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i]: (~ (equalish @ X0 @ X1) | (equalish @ X1 @ X0))),
% 0.49/0.86 inference('cnf', [status(esa)], [symmetryish])).
% 0.49/0.86 thf(zip_derived_cl41, plain,
% 0.49/0.86 (![X0 : $i]: (~ (equalish @ k @ X0) | (equalish @ X0 @ m))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 0.49/0.86 thf(zip_derived_cl495, plain,
% 0.49/0.86 (( (equalish @ n @ m) | (equalish @ (f @ n) @ m))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl413, zip_derived_cl41])).
% 0.49/0.86 thf(zip_derived_cl102, plain,
% 0.49/0.86 (( (equalish @ n @ m) | ~ (equalish @ (f @ n) @ m))),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl50])).
% 0.49/0.86 thf(zip_derived_cl499, plain, ( (equalish @ n @ m)),
% 0.49/0.86 inference('clc', [status(thm)], [zip_derived_cl495, zip_derived_cl102])).
% 0.49/0.86 thf(zip_derived_cl1, plain,
% 0.49/0.86 (![X0 : $i, X1 : $i]: (~ (equalish @ X0 @ X1) | (equalish @ X1 @ X0))),
% 0.49/0.86 inference('cnf', [status(esa)], [symmetryish])).
% 0.49/0.86 thf(zip_derived_cl500, plain, ( (equalish @ m @ n)),
% 0.49/0.86 inference('sup-', [status(thm)], [zip_derived_cl499, zip_derived_cl1])).
% 0.49/0.86 thf(zip_derived_cl506, plain, ($false),
% 0.49/0.86 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl500])).
% 0.49/0.86
% 0.49/0.86 % SZS output end Refutation
% 0.49/0.86
% 0.49/0.86
% 0.49/0.86 % Terminating...
% 0.49/0.92 % Runner terminated.
% 1.64/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------