%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN013-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mlJjWYTaCO true
% Computer : n011.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 0.51s 0.78s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SYN013-1 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mlJjWYTaCO true
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 13:40:38 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in FO mode
% 0.46/0.61 % Total configuration time : 435
% 0.46/0.61 % Estimated wc time : 1092
% 0.46/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.78 % Solved by fo/fo4.sh.
% 0.51/0.78 % done 57 iterations in 0.035s
% 0.51/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.78 % SZS output start Refutation
% 0.51/0.78 thf(g_type, type, g: $i > $i).
% 0.51/0.78 thf(element_type, type, element: $i > $i > $o).
% 0.51/0.78 thf(k_type, type, k: $i).
% 0.51/0.78 thf(n_type, type, n: $i).
% 0.51/0.78 thf(m_type, type, m: $i).
% 0.51/0.78 thf(f_type, type, f: $i > $i).
% 0.51/0.78 thf(c_15, conjecture,
% 0.51/0.78 (~( ( element @ Y @ k ) | ( ( Y ) != ( n ) ) | ( ( Y ) = ( k ) ) ))).
% 0.51/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.78 (( element @ Y @ k ) | ( ( Y ) != ( n ) ) | ( ( Y ) = ( k ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_15])).
% 0.51/0.78 thf(zip_derived_cl14, plain,
% 0.51/0.78 (![X0 : $i]: ( (element @ X0 @ k) | ((X0) != (n)) | ((X0) = (k)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.78 thf(zip_derived_cl18, plain, ((((n) = (k)) | (element @ n @ k))),
% 0.51/0.78 inference('eq_res', [status(thm)], [zip_derived_cl14])).
% 0.51/0.78 thf(c_2, conjecture, (( n ) = ( k ))).
% 0.51/0.78 thf(zf_stmt_1, negated_conjecture, (( n ) != ( k )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_2])).
% 0.51/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.78 thf(zip_derived_cl19, plain, ( (element @ n @ k)),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl18, zip_derived_cl1])).
% 0.51/0.78 thf(c_8, conjecture,
% 0.51/0.78 (~( ( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) |
% 0.51/0.78 ( ( V ) = ( Y ) ) | ( ( V ) = ( m ) ) | ( element @ Y @ m ) |
% 0.51/0.78 ( ( Y ) = ( m ) ) ))).
% 0.51/0.78 thf(zf_stmt_2, negated_conjecture,
% 0.51/0.78 (( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) | ( ( V ) = ( Y ) ) |
% 0.51/0.78 ( ( V ) = ( m ) ) | ( element @ Y @ m ) | ( ( Y ) = ( m ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_8])).
% 0.51/0.78 thf(zip_derived_cl7, plain,
% 0.51/0.78 (![X0 : $i, X1 : $i]:
% 0.51/0.78 (~ (element @ X0 @ X1)
% 0.51/0.78 | ~ (element @ X1 @ X0)
% 0.51/0.78 | ((X0) = (X1))
% 0.51/0.78 | ((X0) = (m))
% 0.51/0.78 | (element @ X1 @ m)
% 0.51/0.78 | ((X1) = (m)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.51/0.78 thf(zip_derived_cl58, plain,
% 0.51/0.78 ((((k) = (m))
% 0.51/0.78 | (element @ k @ m)
% 0.51/0.78 | ((n) = (m))
% 0.51/0.78 | ((n) = (k))
% 0.51/0.78 | ~ (element @ k @ n))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl7])).
% 0.51/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.78 thf(c_1, conjecture, (( m ) = ( n ))).
% 0.51/0.78 thf(zf_stmt_3, negated_conjecture, (( m ) != ( n )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_1])).
% 0.51/0.78 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.51/0.78 thf(c_3, conjecture, (( k ) = ( m ))).
% 0.51/0.78 thf(zf_stmt_4, negated_conjecture, (( k ) != ( m )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_3])).
% 0.51/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl68, plain, (( (element @ k @ m) | ~ (element @ k @ n))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl58, zip_derived_cl1, zip_derived_cl0,
% 0.51/0.78 zip_derived_cl2])).
% 0.51/0.78 thf(c_14, conjecture,
% 0.51/0.78 (~( ( element @ Y @ k ) | ( ( Y ) != ( m ) ) | ( ( Y ) = ( k ) ) ))).
% 0.51/0.78 thf(zf_stmt_5, negated_conjecture,
% 0.51/0.78 (( element @ Y @ k ) | ( ( Y ) != ( m ) ) | ( ( Y ) = ( k ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_14])).
% 0.51/0.78 thf(zip_derived_cl13, plain,
% 0.51/0.78 (![X0 : $i]: ( (element @ X0 @ k) | ((X0) != (m)) | ((X0) = (k)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.51/0.78 thf(zip_derived_cl16, plain, ((((m) = (k)) | (element @ m @ k))),
% 0.51/0.78 inference('eq_res', [status(thm)], [zip_derived_cl13])).
% 0.51/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl17, plain, ( (element @ m @ k)),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl16, zip_derived_cl2])).
% 0.51/0.78 thf(c_13, conjecture,
% 0.51/0.78 (~( ( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) |
% 0.51/0.78 ( ( V ) = ( Y ) ) | ( ( V ) = ( n ) ) | ( ~( element @ Y @ n ) ) |
% 0.51/0.78 ( ( Y ) = ( n ) ) ))).
% 0.51/0.78 thf(zf_stmt_6, negated_conjecture,
% 0.51/0.78 (( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) | ( ( V ) = ( Y ) ) |
% 0.51/0.78 ( ( V ) = ( n ) ) | ( ~( element @ Y @ n ) ) | ( ( Y ) = ( n ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_13])).
% 0.51/0.78 thf(zip_derived_cl12, plain,
% 0.51/0.78 (![X0 : $i, X1 : $i]:
% 0.51/0.78 (~ (element @ X0 @ X1)
% 0.51/0.78 | ~ (element @ X1 @ X0)
% 0.51/0.78 | ((X0) = (X1))
% 0.51/0.78 | ((X0) = (n))
% 0.51/0.78 | ~ (element @ X1 @ n)
% 0.51/0.78 | ((X1) = (n)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.51/0.78 thf(zip_derived_cl39, plain,
% 0.51/0.78 ((((k) = (n))
% 0.51/0.78 | ~ (element @ k @ n)
% 0.51/0.78 | ((m) = (n))
% 0.51/0.78 | ((m) = (k))
% 0.51/0.78 | ~ (element @ k @ m))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl12])).
% 0.51/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.51/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.78 thf(zip_derived_cl50, plain, ((~ (element @ k @ n) | ~ (element @ k @ m))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl39, zip_derived_cl2, zip_derived_cl0,
% 0.51/0.78 zip_derived_cl1])).
% 0.51/0.78 thf(zip_derived_cl73, plain, (~ (element @ k @ n)),
% 0.51/0.78 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl50])).
% 0.51/0.78 thf(c_12, conjecture,
% 0.51/0.78 (~( ( element @ ( g @ Y ) @ Y ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.51/0.78 thf(zf_stmt_7, negated_conjecture,
% 0.51/0.78 (( element @ ( g @ Y ) @ Y ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_12])).
% 0.51/0.78 thf(zip_derived_cl11, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 ( (element @ (g @ X0) @ X0) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.51/0.78 thf(c_16, conjecture,
% 0.51/0.78 (~( ( ~( element @ Y @ k ) ) | ( ( Y ) = ( n ) ) | ( ( Y ) = ( m ) ) |
% 0.51/0.78 ( ( Y ) = ( k ) ) ))).
% 0.51/0.78 thf(zf_stmt_8, negated_conjecture,
% 0.51/0.78 (( ~( element @ Y @ k ) ) | ( ( Y ) = ( n ) ) | ( ( Y ) = ( m ) ) |
% 0.51/0.78 ( ( Y ) = ( k ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_16])).
% 0.51/0.78 thf(zip_derived_cl15, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.51/0.78 thf(zip_derived_cl28, plain,
% 0.51/0.78 ((((k) = (n))
% 0.51/0.78 | (element @ k @ n)
% 0.51/0.78 | ((g @ k) = (k))
% 0.51/0.78 | ((g @ k) = (m))
% 0.51/0.78 | ((g @ k) = (n)))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl15])).
% 0.51/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.78 thf(zip_derived_cl37, plain,
% 0.51/0.78 (( (element @ k @ n)
% 0.51/0.78 | ((g @ k) = (k))
% 0.51/0.78 | ((g @ k) = (m))
% 0.51/0.78 | ((g @ k) = (n)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl28, zip_derived_cl1])).
% 0.51/0.78 thf(zip_derived_cl73, plain, (~ (element @ k @ n)),
% 0.51/0.78 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl50])).
% 0.51/0.78 thf(zip_derived_cl74, plain,
% 0.51/0.78 ((((g @ k) = (n)) | ((g @ k) = (m)) | ((g @ k) = (k)))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl73])).
% 0.51/0.78 thf(c_10, conjecture,
% 0.51/0.78 (~( ( ( g @ Y ) != ( Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.51/0.78 thf(zf_stmt_9, negated_conjecture,
% 0.51/0.78 (( ( g @ Y ) != ( Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_10])).
% 0.51/0.78 thf(zip_derived_cl9, plain,
% 0.51/0.78 (![X0 : $i]: (((g @ X0) != (X0)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.51/0.78 thf(zip_derived_cl76, plain,
% 0.51/0.78 ((((k) != (k))
% 0.51/0.78 | ((g @ k) = (m))
% 0.51/0.78 | ((g @ k) = (n))
% 0.51/0.78 | ((k) = (n))
% 0.51/0.78 | (element @ k @ n))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl9])).
% 0.51/0.78 thf(zip_derived_cl82, plain,
% 0.51/0.78 (( (element @ k @ n) | ((k) = (n)) | ((g @ k) = (n)) | ((g @ k) = (m)))),
% 0.51/0.78 inference('simplify', [status(thm)], [zip_derived_cl76])).
% 0.51/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.78 thf(zip_derived_cl83, plain,
% 0.51/0.78 (( (element @ k @ n) | ((g @ k) = (n)) | ((g @ k) = (m)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl82, zip_derived_cl1])).
% 0.51/0.78 thf(zip_derived_cl73, plain, (~ (element @ k @ n)),
% 0.51/0.78 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl50])).
% 0.51/0.78 thf(zip_derived_cl95, plain, ((((g @ k) = (m)) | ((g @ k) = (n)))),
% 0.51/0.78 inference('clc', [status(thm)], [zip_derived_cl83, zip_derived_cl73])).
% 0.51/0.78 thf(c_11, conjecture,
% 0.51/0.78 (~( ( element @ Y @ ( g @ Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.51/0.78 thf(zf_stmt_10, negated_conjecture,
% 0.51/0.78 (( element @ Y @ ( g @ Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_11])).
% 0.51/0.78 thf(zip_derived_cl10, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 ( (element @ X0 @ (g @ X0)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.51/0.78 thf(zip_derived_cl98, plain,
% 0.51/0.78 (( (element @ k @ m) | ((g @ k) = (n)) | ((k) = (n)) | (element @ k @ n))),
% 0.51/0.78 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl10])).
% 0.51/0.78 thf(zip_derived_cl73, plain, (~ (element @ k @ n)),
% 0.51/0.78 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl50])).
% 0.51/0.78 thf(zip_derived_cl103, plain,
% 0.51/0.78 (( (element @ k @ m) | ((g @ k) = (n)) | ((k) = (n)))),
% 0.51/0.78 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl73])).
% 0.51/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.78 thf(zip_derived_cl104, plain, (( (element @ k @ m) | ((g @ k) = (n)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl103, zip_derived_cl1])).
% 0.51/0.78 thf(c_7, conjecture,
% 0.51/0.78 (~( ( element @ ( f @ Y ) @ Y ) | ( ~( element @ Y @ m ) ) |
% 0.51/0.78 ( ( Y ) = ( m ) ) ))).
% 0.51/0.78 thf(zf_stmt_11, negated_conjecture,
% 0.51/0.78 (( element @ ( f @ Y ) @ Y ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_7])).
% 0.51/0.78 thf(zip_derived_cl6, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 ( (element @ (f @ X0) @ X0) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.51/0.78 thf(zip_derived_cl113, plain,
% 0.51/0.78 ((((g @ k) = (n)) | ((k) = (m)) | (element @ (f @ k) @ k))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl6])).
% 0.51/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl125, plain, ((((g @ k) = (n)) | (element @ (f @ k) @ k))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl113, zip_derived_cl2])).
% 0.51/0.78 thf(zip_derived_cl15, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.51/0.78 thf(zip_derived_cl137, plain,
% 0.51/0.78 ((((g @ k) = (n)) | ((f @ k) = (k)) | ((f @ k) = (m)) | ((f @ k) = (n)))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl15])).
% 0.51/0.78 thf(c_5, conjecture,
% 0.51/0.78 (~( ( ( f @ Y ) != ( Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) ) ))).
% 0.51/0.78 thf(zf_stmt_12, negated_conjecture,
% 0.51/0.78 (( ( f @ Y ) != ( Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_5])).
% 0.51/0.78 thf(zip_derived_cl4, plain,
% 0.51/0.78 (![X0 : $i]: (((f @ X0) != (X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.51/0.78 thf(zip_derived_cl104, plain, (( (element @ k @ m) | ((g @ k) = (n)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl103, zip_derived_cl1])).
% 0.51/0.78 thf(zip_derived_cl115, plain,
% 0.51/0.78 ((((k) = (m)) | ((f @ k) != (k)) | ((g @ k) = (n)))),
% 0.51/0.78 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl104])).
% 0.51/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl117, plain, ((((f @ k) != (k)) | ((g @ k) = (n)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl115, zip_derived_cl2])).
% 0.51/0.78 thf(zip_derived_cl146, plain,
% 0.51/0.78 ((((k) != (k))
% 0.51/0.78 | ((f @ k) = (n))
% 0.51/0.78 | ((f @ k) = (m))
% 0.51/0.78 | ((g @ k) = (n))
% 0.51/0.78 | ((g @ k) = (n)))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl137, zip_derived_cl117])).
% 0.51/0.78 thf(zip_derived_cl152, plain,
% 0.51/0.78 ((((g @ k) = (n)) | ((f @ k) = (m)) | ((f @ k) = (n)))),
% 0.51/0.78 inference('simplify', [status(thm)], [zip_derived_cl146])).
% 0.51/0.78 thf(c_4, conjecture,
% 0.51/0.78 (~( ( ( f @ Y ) != ( m ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) ) ))).
% 0.51/0.78 thf(zf_stmt_13, negated_conjecture,
% 0.51/0.78 (( ( f @ Y ) != ( m ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_4])).
% 0.51/0.78 thf(zip_derived_cl3, plain,
% 0.51/0.78 (![X0 : $i]: (((f @ X0) != (m)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.51/0.78 thf(zip_derived_cl104, plain, (( (element @ k @ m) | ((g @ k) = (n)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl103, zip_derived_cl1])).
% 0.51/0.78 thf(zip_derived_cl114, plain,
% 0.51/0.78 ((((k) = (m)) | ((f @ k) != (m)) | ((g @ k) = (n)))),
% 0.51/0.78 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl104])).
% 0.51/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl116, plain, ((((f @ k) != (m)) | ((g @ k) = (n)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl114, zip_derived_cl2])).
% 0.51/0.78 thf(zip_derived_cl155, plain, ((((f @ k) = (n)) | ((g @ k) = (n)))),
% 0.51/0.78 inference('clc', [status(thm)], [zip_derived_cl152, zip_derived_cl116])).
% 0.51/0.78 thf(zip_derived_cl104, plain, (( (element @ k @ m) | ((g @ k) = (n)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl103, zip_derived_cl1])).
% 0.51/0.78 thf(c_6, conjecture,
% 0.51/0.78 (~( ( element @ Y @ ( f @ Y ) ) | ( ~( element @ Y @ m ) ) |
% 0.51/0.78 ( ( Y ) = ( m ) ) ))).
% 0.51/0.78 thf(zf_stmt_14, negated_conjecture,
% 0.51/0.78 (( element @ Y @ ( f @ Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_6])).
% 0.51/0.78 thf(zip_derived_cl5, plain,
% 0.51/0.78 (![X0 : $i]:
% 0.51/0.78 ( (element @ X0 @ (f @ X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.51/0.78 thf(zip_derived_cl112, plain,
% 0.51/0.78 ((((g @ k) = (n)) | ((k) = (m)) | (element @ k @ (f @ k)))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl5])).
% 0.51/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.51/0.78 thf(zip_derived_cl124, plain, ((((g @ k) = (n)) | (element @ k @ (f @ k)))),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl112, zip_derived_cl2])).
% 0.51/0.78 thf(zip_derived_cl158, plain,
% 0.51/0.78 (( (element @ k @ n) | ((g @ k) = (n)) | ((g @ k) = (n)))),
% 0.51/0.78 inference('sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl124])).
% 0.51/0.78 thf(zip_derived_cl162, plain, ((((g @ k) = (n)) | (element @ k @ n))),
% 0.51/0.78 inference('simplify', [status(thm)], [zip_derived_cl158])).
% 0.51/0.78 thf(zip_derived_cl73, plain, (~ (element @ k @ n)),
% 0.51/0.78 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl50])).
% 0.51/0.78 thf(zip_derived_cl166, plain, (((g @ k) = (n))),
% 0.51/0.78 inference('clc', [status(thm)], [zip_derived_cl162, zip_derived_cl73])).
% 0.51/0.78 thf(c_9, conjecture,
% 0.51/0.78 (~( ( ( g @ Y ) != ( n ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.51/0.78 thf(zf_stmt_15, negated_conjecture,
% 0.51/0.78 (( ( g @ Y ) != ( n ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.51/0.78 inference('cnf.neg', [status(esa)], [c_9])).
% 0.51/0.78 thf(zip_derived_cl8, plain,
% 0.51/0.78 (![X0 : $i]: (((g @ X0) != (n)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.51/0.78 thf(zip_derived_cl167, plain,
% 0.51/0.78 ((((n) != (n)) | ((k) = (n)) | (element @ k @ n))),
% 0.51/0.78 inference('sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl8])).
% 0.51/0.78 thf(zip_derived_cl171, plain, (( (element @ k @ n) | ((k) = (n)))),
% 0.51/0.78 inference('simplify', [status(thm)], [zip_derived_cl167])).
% 0.51/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.51/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.51/0.78 thf(zip_derived_cl172, plain, ( (element @ k @ n)),
% 0.51/0.78 inference('simplify_reflect-', [status(thm)],
% 0.51/0.78 [zip_derived_cl171, zip_derived_cl1])).
% 0.51/0.78 thf(zip_derived_cl178, plain, ($false),
% 0.51/0.78 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 0.51/0.78
% 0.51/0.78 % SZS output end Refutation
% 0.51/0.78
% 0.51/0.78
% 0.51/0.78 % Terminating...
% 0.51/0.82 % Runner terminated.
% 1.73/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------