TSTP Solution File: SYN015-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN015-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gLMGN0erpk true
% Computer : n012.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 04:01:09 EDT 2023
% Result : Unsatisfiable 0.20s 0.83s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN015-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gLMGN0erpk true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 19:39:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.83 % Solved by fo/fo4.sh.
% 0.20/0.83 % done 129 iterations in 0.049s
% 0.20/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.83 % SZS output start Refutation
% 0.20/0.83 thf(element_type, type, element: $i > $i > $o).
% 0.20/0.83 thf(k_type, type, k: $i).
% 0.20/0.83 thf(j_type, type, j: $i).
% 0.20/0.83 thf(n_type, type, n: $i).
% 0.20/0.83 thf(m_type, type, m: $i).
% 0.20/0.83 thf(f_type, type, f: $i > $i).
% 0.20/0.83 thf(g_type, type, g: $i > $i).
% 0.20/0.83 thf(c_14, conjecture,
% 0.20/0.83 (~( ( element @ Y @ k ) | ( ( Y ) != ( m ) ) | ( ( Y ) = ( k ) ) ))).
% 0.20/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.20/0.83 (( element @ Y @ k ) | ( ( Y ) != ( m ) ) | ( ( Y ) = ( k ) )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_14])).
% 0.20/0.83 thf(zip_derived_cl13, plain,
% 0.20/0.83 (![X0 : $i]: ( (element @ X0 @ k) | ((X0) != (m)) | ((X0) = (k)))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.83 thf(zip_derived_cl17, plain, ((((m) = (k)) | (element @ m @ k))),
% 0.20/0.83 inference('eq_res', [status(thm)], [zip_derived_cl13])).
% 0.20/0.83 thf(c_12, conjecture,
% 0.20/0.83 (~( ( element @ ( g @ Y ) @ Y ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.20/0.83 thf(zf_stmt_1, negated_conjecture,
% 0.20/0.83 (( element @ ( g @ Y ) @ Y ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_12])).
% 0.20/0.83 thf(zip_derived_cl11, plain,
% 0.20/0.83 (![X0 : $i]:
% 0.20/0.83 ( (element @ (g @ X0) @ X0) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.20/0.83 thf(c_16, conjecture,
% 0.20/0.83 (~( ( ~( element @ Y @ k ) ) | ( ( Y ) = ( n ) ) | ( ( Y ) = ( m ) ) |
% 0.20/0.83 ( ( Y ) = ( k ) ) ))).
% 0.20/0.83 thf(zf_stmt_2, negated_conjecture,
% 0.20/0.83 (( ~( element @ Y @ k ) ) | ( ( Y ) = ( n ) ) | ( ( Y ) = ( m ) ) |
% 0.20/0.83 ( ( Y ) = ( k ) )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_16])).
% 0.20/0.83 thf(zip_derived_cl15, plain,
% 0.20/0.83 (![X0 : $i]:
% 0.20/0.83 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.83 thf(zip_derived_cl30, plain,
% 0.20/0.83 ((((k) = (n))
% 0.20/0.83 | (element @ k @ n)
% 0.20/0.83 | ((g @ k) = (k))
% 0.20/0.83 | ((g @ k) = (m))
% 0.20/0.83 | ((g @ k) = (n)))),
% 0.20/0.83 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl15])).
% 0.20/0.83 thf(c_15, conjecture,
% 0.20/0.83 (~( ( element @ Y @ k ) | ( ( Y ) != ( n ) ) | ( ( Y ) = ( k ) ) ))).
% 0.20/0.83 thf(zf_stmt_3, negated_conjecture,
% 0.20/0.83 (( element @ Y @ k ) | ( ( Y ) != ( n ) ) | ( ( Y ) = ( k ) )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_15])).
% 0.20/0.83 thf(zip_derived_cl14, plain,
% 0.20/0.83 (![X0 : $i]: ( (element @ X0 @ k) | ((X0) != (n)) | ((X0) = (k)))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.20/0.83 thf(zip_derived_cl18, plain, ((((n) = (k)) | (element @ n @ k))),
% 0.20/0.83 inference('eq_res', [status(thm)], [zip_derived_cl14])).
% 0.20/0.83 thf(c_8, conjecture,
% 0.20/0.83 (~( ( ~( element @ V1 @ Y ) ) | ( ~( element @ Y @ V1 ) ) |
% 0.20/0.83 ( ( V1 ) = ( Y ) ) | ( ( V1 ) = ( m ) ) | ( element @ Y @ m ) |
% 0.20/0.83 ( ( Y ) = ( m ) ) ))).
% 0.20/0.83 thf(zf_stmt_4, negated_conjecture,
% 0.20/0.83 (( ~( element @ V1 @ Y ) ) | ( ~( element @ Y @ V1 ) ) |
% 0.20/0.83 ( ( V1 ) = ( Y ) ) | ( ( V1 ) = ( m ) ) | ( element @ Y @ m ) |
% 0.20/0.83 ( ( Y ) = ( m ) )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_8])).
% 0.20/0.83 thf(zip_derived_cl7, plain,
% 0.20/0.83 (![X0 : $i, X1 : $i]:
% 0.20/0.83 (~ (element @ X0 @ X1)
% 0.20/0.83 | ~ (element @ X1 @ X0)
% 0.20/0.83 | ((X0) = (X1))
% 0.20/0.83 | ((X0) = (m))
% 0.20/0.83 | (element @ X1 @ m)
% 0.20/0.83 | ((X1) = (m)))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.20/0.83 thf(zip_derived_cl63, plain,
% 0.20/0.83 ((((n) = (k))
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | (element @ k @ m)
% 0.20/0.83 | ((n) = (m))
% 0.20/0.83 | ((n) = (k))
% 0.20/0.83 | ~ (element @ k @ n))),
% 0.20/0.83 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 0.20/0.83 thf(zip_derived_cl75, plain,
% 0.20/0.83 ((~ (element @ k @ n)
% 0.20/0.83 | ((n) = (m))
% 0.20/0.83 | (element @ k @ m)
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | ((n) = (k)))),
% 0.20/0.83 inference('simplify', [status(thm)], [zip_derived_cl63])).
% 0.20/0.83 thf(c_1, conjecture, (( m ) = ( n ))).
% 0.20/0.83 thf(zf_stmt_5, negated_conjecture, (( m ) != ( n )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_1])).
% 0.20/0.83 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.83 thf(zip_derived_cl76, plain,
% 0.20/0.83 ((~ (element @ k @ n) | (element @ k @ m) | ((k) = (m)) | ((n) = (k)))),
% 0.20/0.83 inference('simplify_reflect-', [status(thm)],
% 0.20/0.83 [zip_derived_cl75, zip_derived_cl0])).
% 0.20/0.83 thf(zip_derived_cl17, plain, ((((m) = (k)) | (element @ m @ k))),
% 0.20/0.83 inference('eq_res', [status(thm)], [zip_derived_cl13])).
% 0.20/0.83 thf(c_13, conjecture,
% 0.20/0.83 (~( ( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) |
% 0.20/0.83 ( ( V ) = ( Y ) ) | ( ( V ) = ( n ) ) | ( ~( element @ Y @ n ) ) |
% 0.20/0.83 ( ( Y ) = ( n ) ) ))).
% 0.20/0.83 thf(zf_stmt_6, negated_conjecture,
% 0.20/0.83 (( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) | ( ( V ) = ( Y ) ) |
% 0.20/0.83 ( ( V ) = ( n ) ) | ( ~( element @ Y @ n ) ) | ( ( Y ) = ( n ) )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_13])).
% 0.20/0.83 thf(zip_derived_cl12, plain,
% 0.20/0.83 (![X0 : $i, X1 : $i]:
% 0.20/0.83 (~ (element @ X0 @ X1)
% 0.20/0.83 | ~ (element @ X1 @ X0)
% 0.20/0.83 | ((X0) = (X1))
% 0.20/0.83 | ((X0) = (n))
% 0.20/0.83 | ~ (element @ X1 @ n)
% 0.20/0.83 | ((X1) = (n)))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.20/0.83 thf(zip_derived_cl41, plain,
% 0.20/0.83 ((((m) = (k))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ~ (element @ k @ n)
% 0.20/0.83 | ((m) = (n))
% 0.20/0.83 | ((m) = (k))
% 0.20/0.83 | ~ (element @ k @ m))),
% 0.20/0.83 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])).
% 0.20/0.83 thf(zip_derived_cl54, plain,
% 0.20/0.83 ((~ (element @ k @ m)
% 0.20/0.83 | ((m) = (n))
% 0.20/0.83 | ~ (element @ k @ n)
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ((m) = (k)))),
% 0.20/0.83 inference('simplify', [status(thm)], [zip_derived_cl41])).
% 0.20/0.83 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.83 thf(zip_derived_cl55, plain,
% 0.20/0.83 ((~ (element @ k @ m) | ~ (element @ k @ n) | ((k) = (n)) | ((m) = (k)))),
% 0.20/0.83 inference('simplify_reflect-', [status(thm)],
% 0.20/0.83 [zip_derived_cl54, zip_derived_cl0])).
% 0.20/0.83 thf(zip_derived_cl84, plain,
% 0.20/0.83 ((((n) = (k)) | ((k) = (m)) | ~ (element @ k @ n))),
% 0.20/0.83 inference('clc', [status(thm)], [zip_derived_cl76, zip_derived_cl55])).
% 0.20/0.83 thf(zip_derived_cl85, plain,
% 0.20/0.83 ((((g @ k) = (n))
% 0.20/0.83 | ((g @ k) = (m))
% 0.20/0.83 | ((g @ k) = (k))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | ((n) = (k)))),
% 0.20/0.83 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl84])).
% 0.20/0.83 thf(zip_derived_cl86, plain,
% 0.20/0.83 ((((k) = (m))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ((g @ k) = (k))
% 0.20/0.83 | ((g @ k) = (m))
% 0.20/0.83 | ((g @ k) = (n)))),
% 0.20/0.83 inference('simplify', [status(thm)], [zip_derived_cl85])).
% 0.20/0.83 thf(c_10, conjecture,
% 0.20/0.83 (~( ( ( g @ Y ) != ( Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.20/0.83 thf(zf_stmt_7, negated_conjecture,
% 0.20/0.83 (( ( g @ Y ) != ( Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_10])).
% 0.20/0.83 thf(zip_derived_cl9, plain,
% 0.20/0.83 (![X0 : $i]: (((g @ X0) != (X0)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.20/0.83 thf(zip_derived_cl88, plain,
% 0.20/0.83 ((((k) != (k))
% 0.20/0.83 | ((g @ k) = (n))
% 0.20/0.83 | ((g @ k) = (m))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | (element @ k @ n))),
% 0.20/0.83 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl9])).
% 0.20/0.83 thf(zip_derived_cl94, plain,
% 0.20/0.83 (( (element @ k @ n)
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ((g @ k) = (m))
% 0.20/0.83 | ((g @ k) = (n)))),
% 0.20/0.83 inference('simplify', [status(thm)], [zip_derived_cl88])).
% 0.20/0.83 thf(zip_derived_cl84, plain,
% 0.20/0.83 ((((n) = (k)) | ((k) = (m)) | ~ (element @ k @ n))),
% 0.20/0.83 inference('clc', [status(thm)], [zip_derived_cl76, zip_derived_cl55])).
% 0.20/0.83 thf(zip_derived_cl99, plain,
% 0.20/0.83 ((((g @ k) = (n))
% 0.20/0.83 | ((g @ k) = (m))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | ((n) = (k)))),
% 0.20/0.83 inference('sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl84])).
% 0.20/0.83 thf(zip_derived_cl103, plain,
% 0.20/0.83 ((((k) = (m)) | ((k) = (n)) | ((g @ k) = (m)) | ((g @ k) = (n)))),
% 0.20/0.83 inference('simplify', [status(thm)], [zip_derived_cl99])).
% 0.20/0.83 thf(c_11, conjecture,
% 0.20/0.83 (~( ( element @ Y @ ( g @ Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.20/0.83 thf(zf_stmt_8, negated_conjecture,
% 0.20/0.83 (( element @ Y @ ( g @ Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.20/0.83 inference('cnf.neg', [status(esa)], [c_11])).
% 0.20/0.83 thf(zip_derived_cl10, plain,
% 0.20/0.83 (![X0 : $i]:
% 0.20/0.83 ( (element @ X0 @ (g @ X0)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.20/0.83 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.20/0.83 thf(zip_derived_cl106, plain,
% 0.20/0.83 (( (element @ k @ m)
% 0.20/0.83 | ((g @ k) = (n))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | (element @ k @ n))),
% 0.20/0.83 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl10])).
% 0.20/0.83 thf(zip_derived_cl111, plain,
% 0.20/0.83 (( (element @ k @ n)
% 0.20/0.83 | ((k) = (m))
% 0.20/0.83 | ((k) = (n))
% 0.20/0.83 | ((g @ k) = (n))
% 0.20/0.83 | (element @ k @ m))),
% 0.20/0.83 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 0.20/0.83 thf(zip_derived_cl84, plain,
% 0.20/0.83 ((((n) = (k)) | ((k) = (m)) | ~ (element @ k @ n))),
% 0.20/0.83 inference('clc', [status(thm)], [zip_derived_cl76, zip_derived_cl55])).
% 0.20/0.83 thf(zip_derived_cl113, plain,
% 0.20/0.83 (( (element @ k @ m) | ((g @ k) = (n)) | ((k) = (n)) | ((k) = (m)))),
% 0.20/0.83 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl84])).
% 0.20/0.83 thf(c_7, conjecture,
% 0.20/0.83 (~( ( element @ ( f @ Y ) @ Y ) | ( ~( element @ Y @ m ) ) |
% 0.20/0.83 ( ( Y ) = ( m ) ) ))).
% 0.20/0.83 thf(zf_stmt_9, negated_conjecture,
% 0.20/0.83 (( element @ ( f @ Y ) @ Y ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.20/0.84 inference('cnf.neg', [status(esa)], [c_7])).
% 0.20/0.84 thf(zip_derived_cl6, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 ( (element @ (f @ X0) @ X0) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.20/0.84 thf(zip_derived_cl119, plain,
% 0.20/0.84 ((((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | (element @ (f @ k) @ k))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl6])).
% 0.20/0.84 thf(zip_derived_cl130, plain,
% 0.20/0.84 (( (element @ (f @ k) @ k) | ((g @ k) = (n)) | ((k) = (n)) | ((k) = (m)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl119])).
% 0.20/0.84 thf(zip_derived_cl15, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.84 thf(zip_derived_cl138, plain,
% 0.20/0.84 ((((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n))
% 0.20/0.84 | ((f @ k) = (k))
% 0.20/0.84 | ((f @ k) = (m))
% 0.20/0.84 | ((f @ k) = (n)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl15])).
% 0.20/0.84 thf(c_5, conjecture,
% 0.20/0.84 (~( ( ( f @ Y ) != ( Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) ) ))).
% 0.20/0.84 thf(zf_stmt_10, negated_conjecture,
% 0.20/0.84 (( ( f @ Y ) != ( Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.20/0.84 inference('cnf.neg', [status(esa)], [c_5])).
% 0.20/0.84 thf(zip_derived_cl4, plain,
% 0.20/0.84 (![X0 : $i]: (((f @ X0) != (X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.20/0.84 thf(zip_derived_cl113, plain,
% 0.20/0.84 (( (element @ k @ m) | ((g @ k) = (n)) | ((k) = (n)) | ((k) = (m)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl84])).
% 0.20/0.84 thf(zip_derived_cl121, plain,
% 0.20/0.84 ((((k) = (m))
% 0.20/0.84 | ((f @ k) != (k))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl113])).
% 0.20/0.84 thf(zip_derived_cl123, plain,
% 0.20/0.84 ((((g @ k) = (n)) | ((k) = (n)) | ((f @ k) != (k)) | ((k) = (m)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 0.20/0.84 thf(zip_derived_cl177, plain,
% 0.20/0.84 ((((k) != (k))
% 0.20/0.84 | ((f @ k) = (n))
% 0.20/0.84 | ((f @ k) = (m))
% 0.20/0.84 | ((g @ k) = (n))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl123])).
% 0.20/0.84 thf(zip_derived_cl185, plain,
% 0.20/0.84 ((((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n))
% 0.20/0.84 | ((f @ k) = (m))
% 0.20/0.84 | ((f @ k) = (n)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl177])).
% 0.20/0.84 thf(c_4, conjecture,
% 0.20/0.84 (~( ( ( f @ Y ) != ( m ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) ) ))).
% 0.20/0.84 thf(zf_stmt_11, negated_conjecture,
% 0.20/0.84 (( ( f @ Y ) != ( m ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.20/0.84 inference('cnf.neg', [status(esa)], [c_4])).
% 0.20/0.84 thf(zip_derived_cl3, plain,
% 0.20/0.84 (![X0 : $i]: (((f @ X0) != (m)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.20/0.84 thf(zip_derived_cl113, plain,
% 0.20/0.84 (( (element @ k @ m) | ((g @ k) = (n)) | ((k) = (n)) | ((k) = (m)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl84])).
% 0.20/0.84 thf(zip_derived_cl120, plain,
% 0.20/0.84 ((((k) = (m))
% 0.20/0.84 | ((f @ k) != (m))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl113])).
% 0.20/0.84 thf(zip_derived_cl122, plain,
% 0.20/0.84 ((((g @ k) = (n)) | ((k) = (n)) | ((f @ k) != (m)) | ((k) = (m)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl120])).
% 0.20/0.84 thf(zip_derived_cl190, plain,
% 0.20/0.84 ((((m) != (m))
% 0.20/0.84 | ((f @ k) = (n))
% 0.20/0.84 | ((g @ k) = (n))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl122])).
% 0.20/0.84 thf(zip_derived_cl197, plain,
% 0.20/0.84 ((((k) = (m)) | ((k) = (n)) | ((g @ k) = (n)) | ((f @ k) = (n)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.20/0.84 thf(zip_derived_cl113, plain,
% 0.20/0.84 (( (element @ k @ m) | ((g @ k) = (n)) | ((k) = (n)) | ((k) = (m)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl84])).
% 0.20/0.84 thf(c_6, conjecture,
% 0.20/0.84 (~( ( element @ Y @ ( f @ Y ) ) | ( ~( element @ Y @ m ) ) |
% 0.20/0.84 ( ( Y ) = ( m ) ) ))).
% 0.20/0.84 thf(zf_stmt_12, negated_conjecture,
% 0.20/0.84 (( element @ Y @ ( f @ Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.20/0.84 inference('cnf.neg', [status(esa)], [c_6])).
% 0.20/0.84 thf(zip_derived_cl5, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 ( (element @ X0 @ (f @ X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.20/0.84 thf(zip_derived_cl118, plain,
% 0.20/0.84 ((((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | (element @ k @ (f @ k)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl5])).
% 0.20/0.84 thf(zip_derived_cl129, plain,
% 0.20/0.84 (( (element @ k @ (f @ k)) | ((g @ k) = (n)) | ((k) = (n)) | ((k) = (m)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl118])).
% 0.20/0.84 thf(zip_derived_cl205, plain,
% 0.20/0.84 (( (element @ k @ n)
% 0.20/0.84 | ((g @ k) = (n))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | ((k) = (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((g @ k) = (n)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl129])).
% 0.20/0.84 thf(zip_derived_cl210, plain,
% 0.20/0.84 ((((k) = (m)) | ((k) = (n)) | ((g @ k) = (n)) | (element @ k @ n))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl205])).
% 0.20/0.84 thf(c_9, conjecture,
% 0.20/0.84 (~( ( ( g @ Y ) != ( n ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.20/0.84 thf(zf_stmt_13, negated_conjecture,
% 0.20/0.84 (( ( g @ Y ) != ( n ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.20/0.84 inference('cnf.neg', [status(esa)], [c_9])).
% 0.20/0.84 thf(zip_derived_cl8, plain,
% 0.20/0.84 (![X0 : $i]: (((g @ X0) != (n)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.20/0.84 thf(zip_derived_cl212, plain,
% 0.20/0.84 (( (element @ k @ n) | ((k) = (n)) | ((k) = (m)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl210, zip_derived_cl8])).
% 0.20/0.84 thf(zip_derived_cl84, plain,
% 0.20/0.84 ((((n) = (k)) | ((k) = (m)) | ~ (element @ k @ n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl76, zip_derived_cl55])).
% 0.20/0.84 thf(zip_derived_cl213, plain, ((((k) = (m)) | ((k) = (n)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl212, zip_derived_cl84])).
% 0.20/0.84 thf(zip_derived_cl213, plain, ((((k) = (m)) | ((k) = (n)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl212, zip_derived_cl84])).
% 0.20/0.84 thf(zip_derived_cl18, plain, ((((n) = (k)) | (element @ n @ k))),
% 0.20/0.84 inference('eq_res', [status(thm)], [zip_derived_cl14])).
% 0.20/0.84 thf(zip_derived_cl218, plain,
% 0.20/0.84 (( (element @ n @ m) | ((k) = (n)) | ((n) = (k)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl213, zip_derived_cl18])).
% 0.20/0.84 thf(zip_derived_cl223, plain, ((((k) = (n)) | (element @ n @ m))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl218])).
% 0.20/0.84 thf(zip_derived_cl5, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 ( (element @ X0 @ (f @ X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.20/0.84 thf(zip_derived_cl231, plain,
% 0.20/0.84 ((((k) = (n)) | ((n) = (m)) | (element @ n @ (f @ n)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl5])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl241, plain, ((((k) = (n)) | (element @ n @ (f @ n)))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl231, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl7, plain,
% 0.20/0.84 (![X0 : $i, X1 : $i]:
% 0.20/0.84 (~ (element @ X0 @ X1)
% 0.20/0.84 | ~ (element @ X1 @ X0)
% 0.20/0.84 | ((X0) = (X1))
% 0.20/0.84 | ((X0) = (m))
% 0.20/0.84 | (element @ X1 @ m)
% 0.20/0.84 | ((X1) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.20/0.84 thf(zip_derived_cl243, plain,
% 0.20/0.84 ((((k) = (n))
% 0.20/0.84 | ((f @ n) = (m))
% 0.20/0.84 | (element @ (f @ n) @ m)
% 0.20/0.84 | ((n) = (m))
% 0.20/0.84 | ((n) = (f @ n))
% 0.20/0.84 | ~ (element @ (f @ n) @ n))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl241, zip_derived_cl7])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl245, plain,
% 0.20/0.84 ((((k) = (n))
% 0.20/0.84 | ((f @ n) = (m))
% 0.20/0.84 | (element @ (f @ n) @ m)
% 0.20/0.84 | ((n) = (f @ n))
% 0.20/0.84 | ~ (element @ (f @ n) @ n))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl243, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl3, plain,
% 0.20/0.84 (![X0 : $i]: (((f @ X0) != (m)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.20/0.84 thf(zip_derived_cl223, plain, ((((k) = (n)) | (element @ n @ m))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl218])).
% 0.20/0.84 thf(zip_derived_cl233, plain,
% 0.20/0.84 ((((n) = (m)) | ((f @ n) != (m)) | ((k) = (n)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl223])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl235, plain, ((((f @ n) != (m)) | ((k) = (n)))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl233, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl297, plain,
% 0.20/0.84 ((~ (element @ (f @ n) @ n)
% 0.20/0.84 | ((n) = (f @ n))
% 0.20/0.84 | (element @ (f @ n) @ m)
% 0.20/0.84 | ((k) = (n)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl245, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl223, plain, ((((k) = (n)) | (element @ n @ m))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl218])).
% 0.20/0.84 thf(zip_derived_cl6, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 ( (element @ (f @ X0) @ X0) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.20/0.84 thf(zip_derived_cl232, plain,
% 0.20/0.84 ((((k) = (n)) | ((n) = (m)) | (element @ (f @ n) @ n))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl6])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl242, plain, ((((k) = (n)) | (element @ (f @ n) @ n))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl232, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl298, plain,
% 0.20/0.84 ((((k) = (n)) | (element @ (f @ n) @ m) | ((n) = (f @ n)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl297, zip_derived_cl242])).
% 0.20/0.84 thf(zip_derived_cl4, plain,
% 0.20/0.84 (![X0 : $i]: (((f @ X0) != (X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.20/0.84 thf(zip_derived_cl223, plain, ((((k) = (n)) | (element @ n @ m))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl218])).
% 0.20/0.84 thf(zip_derived_cl234, plain,
% 0.20/0.84 ((((n) = (m)) | ((f @ n) != (n)) | ((k) = (n)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl223])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl236, plain, ((((f @ n) != (n)) | ((k) = (n)))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl234, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl299, plain, (( (element @ (f @ n) @ m) | ((k) = (n)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl298, zip_derived_cl236])).
% 0.20/0.84 thf(zip_derived_cl213, plain, ((((k) = (m)) | ((k) = (n)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl212, zip_derived_cl84])).
% 0.20/0.84 thf(zip_derived_cl15, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.84 thf(zip_derived_cl215, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 (~ (element @ X0 @ m)
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((X0) = (k))
% 0.20/0.84 | ((X0) = (m))
% 0.20/0.84 | ((X0) = (n)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl15])).
% 0.20/0.84 thf(zip_derived_cl306, plain,
% 0.20/0.84 ((((k) = (n))
% 0.20/0.84 | ((f @ n) = (n))
% 0.20/0.84 | ((f @ n) = (m))
% 0.20/0.84 | ((f @ n) = (k))
% 0.20/0.84 | ((k) = (n)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl299, zip_derived_cl215])).
% 0.20/0.84 thf(zip_derived_cl311, plain,
% 0.20/0.84 ((((f @ n) = (k)) | ((f @ n) = (m)) | ((f @ n) = (n)) | ((k) = (n)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl306])).
% 0.20/0.84 thf(zip_derived_cl327, plain,
% 0.20/0.84 ((((k) != (m)) | ((k) = (n)) | ((f @ n) = (n)) | ((f @ n) = (m)))),
% 0.20/0.84 inference('eq_fact', [status(thm)], [zip_derived_cl311])).
% 0.20/0.84 thf(zip_derived_cl338, plain,
% 0.20/0.84 ((((m) != (m))
% 0.20/0.84 | ((k) = (n))
% 0.20/0.84 | ((f @ n) = (m))
% 0.20/0.84 | ((f @ n) = (n))
% 0.20/0.84 | ((k) = (n)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl327])).
% 0.20/0.84 thf(zip_derived_cl339, plain,
% 0.20/0.84 ((((f @ n) = (n)) | ((f @ n) = (m)) | ((k) = (n)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl338])).
% 0.20/0.84 thf(zip_derived_cl236, plain, ((((f @ n) != (n)) | ((k) = (n)))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl234, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl340, plain, ((((k) = (n)) | ((f @ n) = (m)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl339, zip_derived_cl236])).
% 0.20/0.84 thf(zip_derived_cl235, plain, ((((f @ n) != (m)) | ((k) = (n)))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl233, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl341, plain, (((k) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl341, plain, (((k) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl349, plain, ((((m) = (n)) | (element @ m @ n))),
% 0.20/0.84 inference('demod', [status(thm)],
% 0.20/0.84 [zip_derived_cl17, zip_derived_cl341, zip_derived_cl341])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl350, plain, ( (element @ m @ n)),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl349, zip_derived_cl0])).
% 0.20/0.84 thf(c_3, conjecture,
% 0.20/0.84 (~( ( ~( element @ Y @ j ) ) | ( ( Y ) = ( k ) ) | ( ( Y ) = ( j ) ) ))).
% 0.20/0.84 thf(zf_stmt_14, negated_conjecture,
% 0.20/0.84 (( ~( element @ Y @ j ) ) | ( ( Y ) = ( k ) ) | ( ( Y ) = ( j ) )),
% 0.20/0.84 inference('cnf.neg', [status(esa)], [c_3])).
% 0.20/0.84 thf(zip_derived_cl2, plain,
% 0.20/0.84 (![X0 : $i]: (~ (element @ X0 @ j) | ((X0) = (k)) | ((X0) = (j)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.20/0.84 thf(zip_derived_cl341, plain, (((k) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl343, plain,
% 0.20/0.84 (![X0 : $i]: (~ (element @ X0 @ j) | ((X0) = (n)) | ((X0) = (j)))),
% 0.20/0.84 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl341])).
% 0.20/0.84 thf(zip_derived_cl11, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 ( (element @ (g @ X0) @ X0) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.20/0.84 thf(zip_derived_cl2, plain,
% 0.20/0.84 (![X0 : $i]: (~ (element @ X0 @ j) | ((X0) = (k)) | ((X0) = (j)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.20/0.84 thf(zip_derived_cl29, plain,
% 0.20/0.84 ((((j) = (n)) | (element @ j @ n) | ((g @ j) = (j)) | ((g @ j) = (k)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 0.20/0.84 thf(zip_derived_cl9, plain,
% 0.20/0.84 (![X0 : $i]: (((g @ X0) != (X0)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.20/0.84 thf(zip_derived_cl39, plain,
% 0.20/0.84 ((((g @ j) = (k)) | (element @ j @ n) | ((j) = (n)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 0.20/0.84 thf(zip_derived_cl341, plain, (((k) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl351, plain,
% 0.20/0.84 ((((g @ j) = (n)) | (element @ j @ n) | ((j) = (n)))),
% 0.20/0.84 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl341])).
% 0.20/0.84 thf(zip_derived_cl8, plain,
% 0.20/0.84 (![X0 : $i]: (((g @ X0) != (n)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.20/0.84 thf(zip_derived_cl378, plain, ((((j) = (n)) | (element @ j @ n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl351, zip_derived_cl8])).
% 0.20/0.84 thf(zip_derived_cl15, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.84 thf(zip_derived_cl341, plain, (((k) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl341, plain, (((k) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl346, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 (~ (element @ X0 @ n) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (n)))),
% 0.20/0.84 inference('demod', [status(thm)],
% 0.20/0.84 [zip_derived_cl15, zip_derived_cl341, zip_derived_cl341])).
% 0.20/0.84 thf(zip_derived_cl347, plain,
% 0.20/0.84 (![X0 : $i]: (((X0) = (m)) | ((X0) = (n)) | ~ (element @ X0 @ n))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl346])).
% 0.20/0.84 thf(zip_derived_cl381, plain, ((((j) = (n)) | ((j) = (n)) | ((j) = (m)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl378, zip_derived_cl347])).
% 0.20/0.84 thf(zip_derived_cl385, plain, ((((j) = (m)) | ((j) = (n)))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 0.20/0.84 thf(c_2, conjecture,
% 0.20/0.84 (~( ( element @ Y @ j ) | ( ( Y ) != ( k ) ) | ( ( Y ) = ( j ) ) ))).
% 0.20/0.84 thf(zf_stmt_15, negated_conjecture,
% 0.20/0.84 (( element @ Y @ j ) | ( ( Y ) != ( k ) ) | ( ( Y ) = ( j ) )),
% 0.20/0.84 inference('cnf.neg', [status(esa)], [c_2])).
% 0.20/0.84 thf(zip_derived_cl1, plain,
% 0.20/0.84 (![X0 : $i]: ( (element @ X0 @ j) | ((X0) != (k)) | ((X0) = (j)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.20/0.84 thf(zip_derived_cl16, plain, ((((k) = (j)) | (element @ k @ j))),
% 0.20/0.84 inference('eq_res', [status(thm)], [zip_derived_cl1])).
% 0.20/0.84 thf(zip_derived_cl341, plain, (((k) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl341, plain, (((k) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl235])).
% 0.20/0.84 thf(zip_derived_cl348, plain, ((((n) = (j)) | (element @ n @ j))),
% 0.20/0.84 inference('demod', [status(thm)],
% 0.20/0.84 [zip_derived_cl16, zip_derived_cl341, zip_derived_cl341])).
% 0.20/0.84 thf(zip_derived_cl387, plain,
% 0.20/0.84 (( (element @ n @ m) | ((j) = (n)) | ((n) = (j)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl385, zip_derived_cl348])).
% 0.20/0.84 thf(zip_derived_cl390, plain, ((((j) = (n)) | (element @ n @ m))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl387])).
% 0.20/0.84 thf(zip_derived_cl6, plain,
% 0.20/0.84 (![X0 : $i]:
% 0.20/0.84 ( (element @ (f @ X0) @ X0) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.20/0.84 thf(zip_derived_cl398, plain,
% 0.20/0.84 ((((j) = (n)) | ((n) = (m)) | (element @ (f @ n) @ n))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl390, zip_derived_cl6])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl410, plain, ((((j) = (n)) | (element @ (f @ n) @ n))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl398, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl347, plain,
% 0.20/0.84 (![X0 : $i]: (((X0) = (m)) | ((X0) = (n)) | ~ (element @ X0 @ n))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl346])).
% 0.20/0.84 thf(zip_derived_cl418, plain,
% 0.20/0.84 ((((j) = (n)) | ((f @ n) = (n)) | ((f @ n) = (m)))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl410, zip_derived_cl347])).
% 0.20/0.84 thf(zip_derived_cl4, plain,
% 0.20/0.84 (![X0 : $i]: (((f @ X0) != (X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.20/0.84 thf(zip_derived_cl390, plain, ((((j) = (n)) | (element @ n @ m))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl387])).
% 0.20/0.84 thf(zip_derived_cl400, plain,
% 0.20/0.84 ((((n) = (m)) | ((f @ n) != (n)) | ((j) = (n)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl390])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl402, plain, ((((f @ n) != (n)) | ((j) = (n)))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl400, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl436, plain, ((((f @ n) = (m)) | ((j) = (n)))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl418, zip_derived_cl402])).
% 0.20/0.84 thf(zip_derived_cl3, plain,
% 0.20/0.84 (![X0 : $i]: (((f @ X0) != (m)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.20/0.84 thf(zip_derived_cl390, plain, ((((j) = (n)) | (element @ n @ m))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl387])).
% 0.20/0.84 thf(zip_derived_cl399, plain,
% 0.20/0.84 ((((n) = (m)) | ((f @ n) != (m)) | ((j) = (n)))),
% 0.20/0.84 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl390])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl401, plain, ((((f @ n) != (m)) | ((j) = (n)))),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl399, zip_derived_cl0])).
% 0.20/0.84 thf(zip_derived_cl437, plain, (((j) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl436, zip_derived_cl401])).
% 0.20/0.84 thf(zip_derived_cl437, plain, (((j) = (n))),
% 0.20/0.84 inference('clc', [status(thm)], [zip_derived_cl436, zip_derived_cl401])).
% 0.20/0.84 thf(zip_derived_cl439, plain,
% 0.20/0.84 (![X0 : $i]: (~ (element @ X0 @ n) | ((X0) = (n)) | ((X0) = (n)))),
% 0.20/0.84 inference('demod', [status(thm)],
% 0.20/0.84 [zip_derived_cl343, zip_derived_cl437, zip_derived_cl437])).
% 0.20/0.84 thf(zip_derived_cl440, plain,
% 0.20/0.84 (![X0 : $i]: (((X0) = (n)) | ~ (element @ X0 @ n))),
% 0.20/0.84 inference('simplify', [status(thm)], [zip_derived_cl439])).
% 0.20/0.84 thf(zip_derived_cl443, plain, (((m) = (n))),
% 0.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl440])).
% 0.20/0.84 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.20/0.84 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.20/0.84 thf(zip_derived_cl445, plain, ($false),
% 0.20/0.84 inference('simplify_reflect-', [status(thm)],
% 0.20/0.84 [zip_derived_cl443, zip_derived_cl0])).
% 0.20/0.84
% 0.20/0.84 % SZS output end Refutation
% 0.20/0.84
% 0.20/0.84
% 0.20/0.84 % Terminating...
% 2.27/0.95 % Runner terminated.
% 2.27/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------