%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN014-1 : 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.fAoOGGcH7b true
% Computer : n026.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 1.29s 0.79s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SYN014-1 : TPTP v9.2.0. Released v1.0.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fAoOGGcH7b true
% 0.11/0.31 % Computer : n026.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 13:36:38 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.74/0.61 % Total configuration time : 435
% 0.74/0.61 % Estimated wc time : 1092
% 0.74/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.89/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.89/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.89/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.89/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.89/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.89/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.79 % Solved by fo/fo4.sh.
% 1.29/0.79 % done 94 iterations in 0.052s
% 1.29/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/0.79 % SZS output start Refutation
% 1.29/0.79 thf(element_type, type, element: $i > $i > $o).
% 1.29/0.79 thf(j_type, type, j: $i).
% 1.29/0.79 thf(k_type, type, k: $i).
% 1.29/0.79 thf(n_type, type, n: $i).
% 1.29/0.79 thf(m_type, type, m: $i).
% 1.29/0.79 thf(f_type, type, f: $i > $i).
% 1.29/0.79 thf(g_type, type, g: $i > $i).
% 1.29/0.79 thf(c_15, conjecture,
% 1.29/0.79 (~( ( element @ Y @ k ) | ( ( Y ) != ( m ) ) | ( ( Y ) = ( k ) ) ))).
% 1.29/0.79 thf(zf_stmt_0, negated_conjecture,
% 1.29/0.79 (( element @ Y @ k ) | ( ( Y ) != ( m ) ) | ( ( Y ) = ( k ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_15])).
% 1.29/0.79 thf(zip_derived_cl14, plain,
% 1.29/0.79 (![X0 : $i]: ( (element @ X0 @ k) | ((X0) != (m)) | ((X0) = (k)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.79 thf(zip_derived_cl25, plain, ((((m) = (k)) | (element @ m @ k))),
% 1.29/0.79 inference('eq_res', [status(thm)], [zip_derived_cl14])).
% 1.29/0.79 thf(c_2, conjecture, (~( ( ( m ) = ( k ) ) | ( ( n ) = ( k ) ) ))).
% 1.29/0.79 thf(zf_stmt_1, negated_conjecture, (( ( m ) = ( k ) ) | ( ( n ) = ( k ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_2])).
% 1.29/0.79 thf(zip_derived_cl1, plain, ((((m) = (k)) | ((n) = (k)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.29/0.79 thf(zip_derived_cl1, plain, ((((m) = (k)) | ((n) = (k)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.29/0.79 thf(c_16, conjecture,
% 1.29/0.79 (~( ( element @ Y @ k ) | ( ( Y ) != ( n ) ) | ( ( Y ) = ( k ) ) ))).
% 1.29/0.79 thf(zf_stmt_2, negated_conjecture,
% 1.29/0.79 (( element @ Y @ k ) | ( ( Y ) != ( n ) ) | ( ( Y ) = ( k ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_16])).
% 1.29/0.79 thf(zip_derived_cl15, plain,
% 1.29/0.79 (![X0 : $i]: ( (element @ X0 @ k) | ((X0) != (n)) | ((X0) = (k)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.29/0.79 thf(zip_derived_cl28, plain, ((((n) = (k)) | (element @ n @ k))),
% 1.29/0.79 inference('eq_res', [status(thm)], [zip_derived_cl15])).
% 1.29/0.79 thf(zip_derived_cl29, plain,
% 1.29/0.79 (( (element @ n @ m) | ((n) = (k)) | ((n) = (k)))),
% 1.29/0.79 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl28])).
% 1.29/0.79 thf(zip_derived_cl30, plain, ((((n) = (k)) | (element @ n @ m))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl29])).
% 1.29/0.79 thf(c_7, conjecture,
% 1.29/0.79 (~( ( element @ Y @ ( f @ Y ) ) | ( ~( element @ Y @ m ) ) |
% 1.29/0.79 ( ( Y ) = ( m ) ) ))).
% 1.29/0.79 thf(zf_stmt_3, negated_conjecture,
% 1.29/0.79 (( element @ Y @ ( f @ Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_7])).
% 1.29/0.79 thf(zip_derived_cl6, plain,
% 1.29/0.79 (![X0 : $i]:
% 1.29/0.79 ( (element @ X0 @ (f @ X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.29/0.79 thf(zip_derived_cl33, plain,
% 1.29/0.79 ((((n) = (k)) | ((n) = (m)) | (element @ n @ (f @ n)))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6])).
% 1.29/0.79 thf(c_1, conjecture, (( m ) = ( n ))).
% 1.29/0.79 thf(zf_stmt_4, negated_conjecture, (( m ) != ( n )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_1])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl40, plain, ((((n) = (k)) | (element @ n @ (f @ n)))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl33, zip_derived_cl0])).
% 1.29/0.79 thf(c_9, conjecture,
% 1.29/0.79 (~( ( ~( element @ V1 @ Y ) ) | ( ~( element @ Y @ V1 ) ) |
% 1.29/0.79 ( ( V1 ) = ( Y ) ) | ( ( V1 ) = ( m ) ) | ( element @ Y @ m ) |
% 1.29/0.79 ( ( Y ) = ( m ) ) ))).
% 1.29/0.79 thf(zf_stmt_5, negated_conjecture,
% 1.29/0.79 (( ~( element @ V1 @ Y ) ) | ( ~( element @ Y @ V1 ) ) |
% 1.29/0.79 ( ( V1 ) = ( Y ) ) | ( ( V1 ) = ( m ) ) | ( element @ Y @ m ) |
% 1.29/0.79 ( ( Y ) = ( m ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_9])).
% 1.29/0.79 thf(zip_derived_cl8, plain,
% 1.29/0.79 (![X0 : $i, X1 : $i]:
% 1.29/0.79 (~ (element @ X0 @ X1)
% 1.29/0.79 | ~ (element @ X1 @ X0)
% 1.29/0.79 | ((X0) = (X1))
% 1.29/0.79 | ((X0) = (m))
% 1.29/0.79 | (element @ X1 @ m)
% 1.29/0.79 | ((X1) = (m)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.29/0.79 thf(zip_derived_cl85, plain,
% 1.29/0.79 ((((n) = (k))
% 1.29/0.79 | ((f @ n) = (m))
% 1.29/0.79 | (element @ (f @ n) @ m)
% 1.29/0.79 | ((n) = (m))
% 1.29/0.79 | ((n) = (f @ n))
% 1.29/0.79 | ~ (element @ (f @ n) @ n))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl8])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl98, plain,
% 1.29/0.79 ((((n) = (k))
% 1.29/0.79 | ((f @ n) = (m))
% 1.29/0.79 | (element @ (f @ n) @ m)
% 1.29/0.79 | ((n) = (f @ n))
% 1.29/0.79 | ~ (element @ (f @ n) @ n))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl85, zip_derived_cl0])).
% 1.29/0.79 thf(c_5, conjecture,
% 1.29/0.79 (~( ( ( f @ Y ) != ( m ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) ) ))).
% 1.29/0.79 thf(zf_stmt_6, negated_conjecture,
% 1.29/0.79 (( ( f @ Y ) != ( m ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_5])).
% 1.29/0.79 thf(zip_derived_cl4, plain,
% 1.29/0.79 (![X0 : $i]: (((f @ X0) != (m)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.29/0.79 thf(zip_derived_cl30, plain, ((((n) = (k)) | (element @ n @ m))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl29])).
% 1.29/0.79 thf(zip_derived_cl34, plain,
% 1.29/0.79 ((((n) = (m)) | ((f @ n) != (m)) | ((n) = (k)))),
% 1.29/0.79 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl30])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl36, plain, ((((f @ n) != (m)) | ((n) = (k)))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl34, zip_derived_cl0])).
% 1.29/0.79 thf(zip_derived_cl107, plain,
% 1.29/0.79 ((~ (element @ (f @ n) @ n)
% 1.29/0.79 | ((n) = (f @ n))
% 1.29/0.79 | (element @ (f @ n) @ m)
% 1.29/0.79 | ((n) = (k)))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl98, zip_derived_cl36])).
% 1.29/0.79 thf(zip_derived_cl30, plain, ((((n) = (k)) | (element @ n @ m))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl29])).
% 1.29/0.79 thf(c_8, conjecture,
% 1.29/0.79 (~( ( element @ ( f @ Y ) @ Y ) | ( ~( element @ Y @ m ) ) |
% 1.29/0.79 ( ( Y ) = ( m ) ) ))).
% 1.29/0.79 thf(zf_stmt_7, negated_conjecture,
% 1.29/0.79 (( element @ ( f @ Y ) @ Y ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_8])).
% 1.29/0.79 thf(zip_derived_cl7, plain,
% 1.29/0.79 (![X0 : $i]:
% 1.29/0.79 ( (element @ (f @ X0) @ X0) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.29/0.79 thf(zip_derived_cl42, plain,
% 1.29/0.79 ((((n) = (k)) | ((n) = (m)) | (element @ (f @ n) @ n))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl7])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl43, plain, ((((n) = (k)) | (element @ (f @ n) @ n))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl42, zip_derived_cl0])).
% 1.29/0.79 thf(zip_derived_cl108, plain,
% 1.29/0.79 ((((n) = (k)) | (element @ (f @ n) @ m) | ((n) = (f @ n)))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl107, zip_derived_cl43])).
% 1.29/0.79 thf(c_6, conjecture,
% 1.29/0.79 (~( ( ( f @ Y ) != ( Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) ) ))).
% 1.29/0.79 thf(zf_stmt_8, negated_conjecture,
% 1.29/0.79 (( ( f @ Y ) != ( Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_6])).
% 1.29/0.79 thf(zip_derived_cl5, plain,
% 1.29/0.79 (![X0 : $i]: (((f @ X0) != (X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.29/0.79 thf(zip_derived_cl30, plain, ((((n) = (k)) | (element @ n @ m))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl29])).
% 1.29/0.79 thf(zip_derived_cl35, plain,
% 1.29/0.79 ((((n) = (m)) | ((f @ n) != (n)) | ((n) = (k)))),
% 1.29/0.79 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl30])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl37, plain, ((((f @ n) != (n)) | ((n) = (k)))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl35, zip_derived_cl0])).
% 1.29/0.79 thf(zip_derived_cl109, plain, (( (element @ (f @ n) @ m) | ((n) = (k)))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl37])).
% 1.29/0.79 thf(zip_derived_cl1, plain, ((((m) = (k)) | ((n) = (k)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.29/0.79 thf(c_17, conjecture,
% 1.29/0.79 (~( ( ~( element @ Y @ k ) ) | ( ( Y ) = ( n ) ) | ( ( Y ) = ( m ) ) |
% 1.29/0.79 ( ( Y ) = ( k ) ) ))).
% 1.29/0.79 thf(zf_stmt_9, negated_conjecture,
% 1.29/0.79 (( ~( element @ Y @ k ) ) | ( ( Y ) = ( n ) ) | ( ( Y ) = ( m ) ) |
% 1.29/0.79 ( ( Y ) = ( k ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_17])).
% 1.29/0.79 thf(zip_derived_cl16, plain,
% 1.29/0.79 (![X0 : $i]:
% 1.29/0.79 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.29/0.79 thf(zip_derived_cl46, plain,
% 1.29/0.79 (![X0 : $i]:
% 1.29/0.79 (~ (element @ X0 @ m)
% 1.29/0.79 | ((n) = (k))
% 1.29/0.79 | ((X0) = (k))
% 1.29/0.79 | ((X0) = (m))
% 1.29/0.79 | ((X0) = (n)))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl16])).
% 1.29/0.79 thf(zip_derived_cl116, plain,
% 1.29/0.79 ((((n) = (k))
% 1.29/0.79 | ((f @ n) = (n))
% 1.29/0.79 | ((f @ n) = (m))
% 1.29/0.79 | ((f @ n) = (k))
% 1.29/0.79 | ((n) = (k)))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl46])).
% 1.29/0.79 thf(zip_derived_cl121, plain,
% 1.29/0.79 ((((f @ n) = (k)) | ((f @ n) = (m)) | ((f @ n) = (n)) | ((n) = (k)))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl116])).
% 1.29/0.79 thf(zip_derived_cl136, plain,
% 1.29/0.79 ((((k) != (m)) | ((n) = (k)) | ((f @ n) = (n)) | ((f @ n) = (m)))),
% 1.29/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl121])).
% 1.29/0.79 thf(zip_derived_cl146, plain,
% 1.29/0.79 ((((m) != (m))
% 1.29/0.79 | ((n) = (k))
% 1.29/0.79 | ((f @ n) = (m))
% 1.29/0.79 | ((f @ n) = (n))
% 1.29/0.79 | ((n) = (k)))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl136])).
% 1.29/0.79 thf(zip_derived_cl147, plain,
% 1.29/0.79 ((((f @ n) = (n)) | ((f @ n) = (m)) | ((n) = (k)))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl146])).
% 1.29/0.79 thf(zip_derived_cl37, plain, ((((f @ n) != (n)) | ((n) = (k)))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl35, zip_derived_cl0])).
% 1.29/0.79 thf(zip_derived_cl160, plain, ((((n) = (k)) | ((f @ n) = (m)))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl147, zip_derived_cl37])).
% 1.29/0.79 thf(zip_derived_cl36, plain, ((((f @ n) != (m)) | ((n) = (k)))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl34, zip_derived_cl0])).
% 1.29/0.79 thf(zip_derived_cl161, plain, (((n) = (k))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl160, zip_derived_cl36])).
% 1.29/0.79 thf(zip_derived_cl161, plain, (((n) = (k))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl160, zip_derived_cl36])).
% 1.29/0.79 thf(zip_derived_cl169, plain, ((((m) = (n)) | (element @ m @ n))),
% 1.29/0.79 inference('demod', [status(thm)],
% 1.29/0.79 [zip_derived_cl25, zip_derived_cl161, zip_derived_cl161])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl170, plain, ( (element @ m @ n)),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl169, zip_derived_cl0])).
% 1.29/0.79 thf(c_4, conjecture,
% 1.29/0.79 (~( ( ~( element @ Y @ j ) ) | ( ( Y ) = ( k ) ) | ( ( Y ) = ( j ) ) ))).
% 1.29/0.79 thf(zf_stmt_10, negated_conjecture,
% 1.29/0.79 (( ~( element @ Y @ j ) ) | ( ( Y ) = ( k ) ) | ( ( Y ) = ( j ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_4])).
% 1.29/0.79 thf(zip_derived_cl3, plain,
% 1.29/0.79 (![X0 : $i]: (~ (element @ X0 @ j) | ((X0) = (k)) | ((X0) = (j)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.29/0.79 thf(zip_derived_cl161, plain, (((n) = (k))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl160, zip_derived_cl36])).
% 1.29/0.79 thf(zip_derived_cl163, plain,
% 1.29/0.79 (![X0 : $i]: (~ (element @ X0 @ j) | ((X0) = (n)) | ((X0) = (j)))),
% 1.29/0.79 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl161])).
% 1.29/0.79 thf(c_13, conjecture,
% 1.29/0.79 (~( ( element @ ( g @ Y ) @ Y ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 1.29/0.79 thf(zf_stmt_11, negated_conjecture,
% 1.29/0.79 (( element @ ( g @ Y ) @ Y ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_13])).
% 1.29/0.79 thf(zip_derived_cl12, plain,
% 1.29/0.79 (![X0 : $i]:
% 1.29/0.79 ( (element @ (g @ X0) @ X0) | (element @ X0 @ n) | ((X0) = (n)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.29/0.79 thf(zip_derived_cl163, plain,
% 1.29/0.79 (![X0 : $i]: (~ (element @ X0 @ j) | ((X0) = (n)) | ((X0) = (j)))),
% 1.29/0.79 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl161])).
% 1.29/0.79 thf(zip_derived_cl211, plain,
% 1.29/0.79 ((((j) = (n)) | (element @ j @ n) | ((g @ j) = (j)) | ((g @ j) = (n)))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl163])).
% 1.29/0.79 thf(c_11, conjecture,
% 1.29/0.79 (~( ( ( g @ Y ) != ( Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 1.29/0.79 thf(zf_stmt_12, negated_conjecture,
% 1.29/0.79 (( ( g @ Y ) != ( Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_11])).
% 1.29/0.79 thf(zip_derived_cl10, plain,
% 1.29/0.79 (![X0 : $i]: (((g @ X0) != (X0)) | (element @ X0 @ n) | ((X0) = (n)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.29/0.79 thf(zip_derived_cl232, plain,
% 1.29/0.79 ((((g @ j) = (n)) | (element @ j @ n) | ((j) = (n)))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl211, zip_derived_cl10])).
% 1.29/0.79 thf(c_10, conjecture,
% 1.29/0.79 (~( ( ( g @ Y ) != ( n ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 1.29/0.79 thf(zf_stmt_13, negated_conjecture,
% 1.29/0.79 (( ( g @ Y ) != ( n ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_10])).
% 1.29/0.79 thf(zip_derived_cl9, plain,
% 1.29/0.79 (![X0 : $i]: (((g @ X0) != (n)) | (element @ X0 @ n) | ((X0) = (n)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.29/0.79 thf(zip_derived_cl233, plain, ((((j) = (n)) | (element @ j @ n))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl232, zip_derived_cl9])).
% 1.29/0.79 thf(zip_derived_cl16, plain,
% 1.29/0.79 (![X0 : $i]:
% 1.29/0.79 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.29/0.79 thf(zip_derived_cl161, plain, (((n) = (k))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl160, zip_derived_cl36])).
% 1.29/0.79 thf(zip_derived_cl161, plain, (((n) = (k))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl160, zip_derived_cl36])).
% 1.29/0.79 thf(zip_derived_cl166, plain,
% 1.29/0.79 (![X0 : $i]:
% 1.29/0.79 (~ (element @ X0 @ n) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (n)))),
% 1.29/0.79 inference('demod', [status(thm)],
% 1.29/0.79 [zip_derived_cl16, zip_derived_cl161, zip_derived_cl161])).
% 1.29/0.79 thf(zip_derived_cl167, plain,
% 1.29/0.79 (![X0 : $i]: (((X0) = (m)) | ((X0) = (n)) | ~ (element @ X0 @ n))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl166])).
% 1.29/0.79 thf(zip_derived_cl236, plain, ((((j) = (n)) | ((j) = (n)) | ((j) = (m)))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl167])).
% 1.29/0.79 thf(zip_derived_cl240, plain, ((((j) = (m)) | ((j) = (n)))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl236])).
% 1.29/0.79 thf(c_3, conjecture,
% 1.29/0.79 (~( ( element @ Y @ j ) | ( ( Y ) != ( k ) ) | ( ( Y ) = ( j ) ) ))).
% 1.29/0.79 thf(zf_stmt_14, negated_conjecture,
% 1.29/0.79 (( element @ Y @ j ) | ( ( Y ) != ( k ) ) | ( ( Y ) = ( j ) )),
% 1.29/0.79 inference('cnf.neg', [status(esa)], [c_3])).
% 1.29/0.79 thf(zip_derived_cl2, plain,
% 1.29/0.79 (![X0 : $i]: ( (element @ X0 @ j) | ((X0) != (k)) | ((X0) = (j)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.29/0.79 thf(zip_derived_cl20, plain, ((((k) = (j)) | (element @ k @ j))),
% 1.29/0.79 inference('eq_res', [status(thm)], [zip_derived_cl2])).
% 1.29/0.79 thf(zip_derived_cl161, plain, (((n) = (k))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl160, zip_derived_cl36])).
% 1.29/0.79 thf(zip_derived_cl161, plain, (((n) = (k))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl160, zip_derived_cl36])).
% 1.29/0.79 thf(zip_derived_cl168, plain, ((((n) = (j)) | (element @ n @ j))),
% 1.29/0.79 inference('demod', [status(thm)],
% 1.29/0.79 [zip_derived_cl20, zip_derived_cl161, zip_derived_cl161])).
% 1.29/0.79 thf(zip_derived_cl242, plain,
% 1.29/0.79 (( (element @ n @ m) | ((j) = (n)) | ((n) = (j)))),
% 1.29/0.79 inference('sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl168])).
% 1.29/0.79 thf(zip_derived_cl245, plain, ((((j) = (n)) | (element @ n @ m))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl242])).
% 1.29/0.79 thf(zip_derived_cl7, plain,
% 1.29/0.79 (![X0 : $i]:
% 1.29/0.79 ( (element @ (f @ X0) @ X0) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.29/0.79 thf(zip_derived_cl255, plain,
% 1.29/0.79 ((((j) = (n)) | ((n) = (m)) | (element @ (f @ n) @ n))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl7])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl268, plain, ((((j) = (n)) | (element @ (f @ n) @ n))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl255, zip_derived_cl0])).
% 1.29/0.79 thf(zip_derived_cl167, plain,
% 1.29/0.79 (![X0 : $i]: (((X0) = (m)) | ((X0) = (n)) | ~ (element @ X0 @ n))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl166])).
% 1.29/0.79 thf(zip_derived_cl281, plain,
% 1.29/0.79 ((((j) = (n)) | ((f @ n) = (n)) | ((f @ n) = (m)))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl268, zip_derived_cl167])).
% 1.29/0.79 thf(zip_derived_cl5, plain,
% 1.29/0.79 (![X0 : $i]: (((f @ X0) != (X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.29/0.79 thf(zip_derived_cl245, plain, ((((j) = (n)) | (element @ n @ m))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl242])).
% 1.29/0.79 thf(zip_derived_cl258, plain,
% 1.29/0.79 ((((n) = (m)) | ((f @ n) != (n)) | ((j) = (n)))),
% 1.29/0.79 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl245])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl260, plain, ((((f @ n) != (n)) | ((j) = (n)))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl258, zip_derived_cl0])).
% 1.29/0.79 thf(zip_derived_cl284, plain, ((((f @ n) = (m)) | ((j) = (n)))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl281, zip_derived_cl260])).
% 1.29/0.79 thf(zip_derived_cl4, plain,
% 1.29/0.79 (![X0 : $i]: (((f @ X0) != (m)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.29/0.79 thf(zip_derived_cl245, plain, ((((j) = (n)) | (element @ n @ m))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl242])).
% 1.29/0.79 thf(zip_derived_cl257, plain,
% 1.29/0.79 ((((n) = (m)) | ((f @ n) != (m)) | ((j) = (n)))),
% 1.29/0.79 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl245])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl259, plain, ((((f @ n) != (m)) | ((j) = (n)))),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl257, zip_derived_cl0])).
% 1.29/0.79 thf(zip_derived_cl285, plain, (((j) = (n))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl259])).
% 1.29/0.79 thf(zip_derived_cl285, plain, (((j) = (n))),
% 1.29/0.79 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl259])).
% 1.29/0.79 thf(zip_derived_cl287, plain,
% 1.29/0.79 (![X0 : $i]: (~ (element @ X0 @ n) | ((X0) = (n)) | ((X0) = (n)))),
% 1.29/0.79 inference('demod', [status(thm)],
% 1.29/0.79 [zip_derived_cl163, zip_derived_cl285, zip_derived_cl285])).
% 1.29/0.79 thf(zip_derived_cl288, plain,
% 1.29/0.79 (![X0 : $i]: (((X0) = (n)) | ~ (element @ X0 @ n))),
% 1.29/0.79 inference('simplify', [status(thm)], [zip_derived_cl287])).
% 1.29/0.79 thf(zip_derived_cl303, plain, (((m) = (n))),
% 1.29/0.79 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl288])).
% 1.29/0.79 thf(zip_derived_cl0, plain, (((m) != (n))),
% 1.29/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.29/0.79 thf(zip_derived_cl305, plain, ($false),
% 1.29/0.79 inference('simplify_reflect-', [status(thm)],
% 1.29/0.79 [zip_derived_cl303, zip_derived_cl0])).
% 1.29/0.79
% 1.29/0.79 % SZS output end Refutation
% 1.29/0.79
% 1.29/0.79
% 1.29/0.79 % Terminating...
% 2.19/0.91 % Runner terminated.
% 2.19/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------