TSTP Solution File: SYN013-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN013-1 : 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.dJxKTbznlf true
% Computer : n018.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 04:01:08 EDT 2023
% Result : Unsatisfiable 0.23s 0.78s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dJxKTbznlf true
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 18:18:45 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.69 % Total configuration time : 435
% 0.23/0.69 % Estimated wc time : 1092
% 0.23/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % Solved by fo/fo6_bce.sh.
% 0.23/0.78 % BCE start: 16
% 0.23/0.78 % BCE eliminated: 0
% 0.23/0.78 % PE start: 16
% 0.23/0.78 logic: eq
% 0.23/0.78 % PE eliminated: 0
% 0.23/0.78 % done 82 iterations in 0.035s
% 0.23/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.78 % SZS output start Refutation
% 0.23/0.78 thf(g_type, type, g: $i > $i).
% 0.23/0.78 thf(element_type, type, element: $i > $i > $o).
% 0.23/0.78 thf(k_type, type, k: $i).
% 0.23/0.78 thf(n_type, type, n: $i).
% 0.23/0.78 thf(m_type, type, m: $i).
% 0.23/0.78 thf(f_type, type, f: $i > $i).
% 0.23/0.78 thf(c_14, conjecture,
% 0.23/0.78 (~( ( element @ Y @ k ) | ( ( Y ) != ( m ) ) | ( ( Y ) = ( k ) ) ))).
% 0.23/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.23/0.78 (( element @ Y @ k ) | ( ( Y ) != ( m ) ) | ( ( Y ) = ( k ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_14])).
% 0.23/0.78 thf(zip_derived_cl13, plain,
% 0.23/0.78 (![X0 : $i]: ( (element @ X0 @ k) | ((X0) != (m)) | ((X0) = (k)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.23/0.78 thf(c_7, conjecture,
% 0.23/0.78 (~( ( element @ ( f @ Y ) @ Y ) | ( ~( element @ Y @ m ) ) |
% 0.23/0.78 ( ( Y ) = ( m ) ) ))).
% 0.23/0.78 thf(zf_stmt_1, negated_conjecture,
% 0.23/0.78 (( element @ ( f @ Y ) @ Y ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_7])).
% 0.23/0.78 thf(zip_derived_cl6, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 ( (element @ (f @ X0) @ X0) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.23/0.78 thf(c_16, conjecture,
% 0.23/0.78 (~( ( ~( element @ Y @ k ) ) | ( ( Y ) = ( n ) ) | ( ( Y ) = ( m ) ) |
% 0.23/0.78 ( ( Y ) = ( k ) ) ))).
% 0.23/0.78 thf(zf_stmt_2, negated_conjecture,
% 0.23/0.78 (( ~( element @ Y @ k ) ) | ( ( Y ) = ( n ) ) | ( ( Y ) = ( m ) ) |
% 0.23/0.78 ( ( Y ) = ( k ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_16])).
% 0.23/0.78 thf(zip_derived_cl15, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.23/0.78 thf(zip_derived_cl82, plain,
% 0.23/0.78 ((((k) = (m))
% 0.23/0.78 | ~ (element @ k @ m)
% 0.23/0.78 | ((f @ k) = (n))
% 0.23/0.78 | ((f @ k) = (m))
% 0.23/0.78 | ((f @ k) = (k)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl15])).
% 0.23/0.78 thf(c_3, conjecture, (( k ) = ( m ))).
% 0.23/0.78 thf(zf_stmt_3, negated_conjecture, (( k ) != ( m )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_3])).
% 0.23/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.23/0.78 thf(zip_derived_cl85, plain,
% 0.23/0.78 ((~ (element @ k @ m)
% 0.23/0.78 | ((f @ k) = (n))
% 0.23/0.78 | ((f @ k) = (m))
% 0.23/0.78 | ((f @ k) = (k)))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl82, zip_derived_cl2])).
% 0.23/0.78 thf(c_12, conjecture,
% 0.23/0.78 (~( ( element @ ( g @ Y ) @ Y ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.23/0.78 thf(zf_stmt_4, negated_conjecture,
% 0.23/0.78 (( element @ ( g @ Y ) @ Y ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_12])).
% 0.23/0.78 thf(zip_derived_cl11, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 ( (element @ (g @ X0) @ X0) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.23/0.78 thf(zip_derived_cl15, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 (~ (element @ X0 @ k) | ((X0) = (n)) | ((X0) = (m)) | ((X0) = (k)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.23/0.78 thf(zip_derived_cl104, plain,
% 0.23/0.78 ((((k) = (n))
% 0.23/0.78 | (element @ k @ n)
% 0.23/0.78 | ((g @ k) = (n))
% 0.23/0.78 | ((g @ k) = (m))
% 0.23/0.78 | ((g @ k) = (k)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl15])).
% 0.23/0.78 thf(c_2, conjecture, (( n ) = ( k ))).
% 0.23/0.78 thf(zf_stmt_5, negated_conjecture, (( n ) != ( k )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_2])).
% 0.23/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.23/0.78 thf(zip_derived_cl105, plain,
% 0.23/0.78 (( (element @ k @ n)
% 0.23/0.78 | ((g @ k) = (n))
% 0.23/0.78 | ((g @ k) = (m))
% 0.23/0.78 | ((g @ k) = (k)))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl104, zip_derived_cl1])).
% 0.23/0.78 thf(c_10, conjecture,
% 0.23/0.78 (~( ( ( g @ Y ) != ( Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.23/0.78 thf(zf_stmt_6, negated_conjecture,
% 0.23/0.78 (( ( g @ Y ) != ( Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_10])).
% 0.23/0.78 thf(zip_derived_cl9, plain,
% 0.23/0.78 (![X0 : $i]: (((g @ X0) != (X0)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.23/0.78 thf(zip_derived_cl119, plain,
% 0.23/0.78 ((((g @ k) = (m))
% 0.23/0.78 | ((g @ k) = (n))
% 0.23/0.78 | (element @ k @ n)
% 0.23/0.78 | ((k) != (k))
% 0.23/0.78 | (element @ k @ n)
% 0.23/0.78 | ((k) = (n)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl9])).
% 0.23/0.78 thf(zip_derived_cl126, plain,
% 0.23/0.78 ((((k) = (n)) | (element @ k @ n) | ((g @ k) = (n)) | ((g @ k) = (m)))),
% 0.23/0.78 inference('simplify', [status(thm)], [zip_derived_cl119])).
% 0.23/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.23/0.78 thf(zip_derived_cl127, plain,
% 0.23/0.78 (( (element @ k @ n) | ((g @ k) = (n)) | ((g @ k) = (m)))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl126, zip_derived_cl1])).
% 0.23/0.78 thf(c_9, conjecture,
% 0.23/0.78 (~( ( ( g @ Y ) != ( n ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.23/0.78 thf(zf_stmt_7, negated_conjecture,
% 0.23/0.78 (( ( g @ Y ) != ( n ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_9])).
% 0.23/0.78 thf(zip_derived_cl8, plain,
% 0.23/0.78 (![X0 : $i]: (((g @ X0) != (n)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.23/0.78 thf(zip_derived_cl144, plain,
% 0.23/0.78 ((((g @ k) = (m))
% 0.23/0.78 | (element @ k @ n)
% 0.23/0.78 | ((n) != (n))
% 0.23/0.78 | (element @ k @ n)
% 0.23/0.78 | ((k) = (n)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl8])).
% 0.23/0.78 thf(zip_derived_cl150, plain,
% 0.23/0.78 ((((k) = (n)) | (element @ k @ n) | ((g @ k) = (m)))),
% 0.23/0.78 inference('simplify', [status(thm)], [zip_derived_cl144])).
% 0.23/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.23/0.78 thf(zip_derived_cl151, plain, (( (element @ k @ n) | ((g @ k) = (m)))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl150, zip_derived_cl1])).
% 0.23/0.78 thf(c_11, conjecture,
% 0.23/0.78 (~( ( element @ Y @ ( g @ Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) ) ))).
% 0.23/0.78 thf(zf_stmt_8, negated_conjecture,
% 0.23/0.78 (( element @ Y @ ( g @ Y ) ) | ( element @ Y @ n ) | ( ( Y ) = ( n ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_11])).
% 0.23/0.78 thf(zip_derived_cl10, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 ( (element @ X0 @ (g @ X0)) | (element @ X0 @ n) | ((X0) = (n)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.23/0.78 thf(zip_derived_cl162, plain,
% 0.23/0.78 (( (element @ k @ n)
% 0.23/0.78 | (element @ k @ m)
% 0.23/0.78 | (element @ k @ n)
% 0.23/0.78 | ((k) = (n)))),
% 0.23/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl10])).
% 0.23/0.78 thf(zip_derived_cl169, plain,
% 0.23/0.78 ((((k) = (n)) | (element @ k @ m) | (element @ k @ n))),
% 0.23/0.78 inference('simplify', [status(thm)], [zip_derived_cl162])).
% 0.23/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.23/0.78 thf(zip_derived_cl170, plain, (( (element @ k @ m) | (element @ k @ n))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl169, zip_derived_cl1])).
% 0.23/0.78 thf(c_15, conjecture,
% 0.23/0.78 (~( ( element @ Y @ k ) | ( ( Y ) != ( n ) ) | ( ( Y ) = ( k ) ) ))).
% 0.23/0.78 thf(zf_stmt_9, negated_conjecture,
% 0.23/0.78 (( element @ Y @ k ) | ( ( Y ) != ( n ) ) | ( ( Y ) = ( k ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_15])).
% 0.23/0.78 thf(zip_derived_cl14, plain,
% 0.23/0.78 (![X0 : $i]: ( (element @ X0 @ k) | ((X0) != (n)) | ((X0) = (k)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.23/0.78 thf(c_8, conjecture,
% 0.23/0.78 (~( ( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) |
% 0.23/0.78 ( ( V ) = ( Y ) ) | ( ( V ) = ( m ) ) | ( element @ Y @ m ) |
% 0.23/0.78 ( ( Y ) = ( m ) ) ))).
% 0.23/0.78 thf(zf_stmt_10, negated_conjecture,
% 0.23/0.78 (( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) | ( ( V ) = ( Y ) ) |
% 0.23/0.78 ( ( V ) = ( m ) ) | ( element @ Y @ m ) | ( ( Y ) = ( m ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_8])).
% 0.23/0.78 thf(zip_derived_cl7, plain,
% 0.23/0.78 (![X0 : $i, X1 : $i]:
% 0.23/0.78 (~ (element @ X0 @ X1)
% 0.23/0.78 | ~ (element @ X1 @ X0)
% 0.23/0.78 | ((X0) = (X1))
% 0.23/0.78 | ((X0) = (m))
% 0.23/0.78 | (element @ X1 @ m)
% 0.23/0.78 | ((X1) = (m)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.23/0.78 thf(zip_derived_cl87, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 (((X0) = (k))
% 0.23/0.78 | ((X0) != (n))
% 0.23/0.78 | ~ (element @ k @ X0)
% 0.23/0.78 | ((X0) = (k))
% 0.23/0.78 | ((X0) = (m))
% 0.23/0.78 | (element @ k @ m)
% 0.23/0.78 | ((k) = (m)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl7])).
% 0.23/0.78 thf(zip_derived_cl96, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 (((k) = (m))
% 0.23/0.78 | (element @ k @ m)
% 0.23/0.78 | ((X0) = (m))
% 0.23/0.78 | ~ (element @ k @ X0)
% 0.23/0.78 | ((X0) != (n))
% 0.23/0.78 | ((X0) = (k)))),
% 0.23/0.78 inference('simplify', [status(thm)], [zip_derived_cl87])).
% 0.23/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.23/0.78 thf(zip_derived_cl97, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 ( (element @ k @ m)
% 0.23/0.78 | ((X0) = (m))
% 0.23/0.78 | ~ (element @ k @ X0)
% 0.23/0.78 | ((X0) != (n))
% 0.23/0.78 | ((X0) = (k)))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl96, zip_derived_cl2])).
% 0.23/0.78 thf(zip_derived_cl100, plain,
% 0.23/0.78 ((((n) = (k)) | ~ (element @ k @ n) | ((n) = (m)) | (element @ k @ m))),
% 0.23/0.78 inference('eq_res', [status(thm)], [zip_derived_cl97])).
% 0.23/0.78 thf(c_1, conjecture, (( m ) = ( n ))).
% 0.23/0.78 thf(zf_stmt_11, negated_conjecture, (( m ) != ( n )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_1])).
% 0.23/0.78 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.23/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.23/0.78 thf(zip_derived_cl101, plain, ((~ (element @ k @ n) | (element @ k @ m))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl100, zip_derived_cl0, zip_derived_cl1])).
% 0.23/0.78 thf(zip_derived_cl180, plain, ( (element @ k @ m)),
% 0.23/0.78 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl101])).
% 0.23/0.78 thf(zip_derived_cl181, plain,
% 0.23/0.78 ((((f @ k) = (n)) | ((f @ k) = (m)) | ((f @ k) = (k)))),
% 0.23/0.78 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl180])).
% 0.23/0.78 thf(c_5, conjecture,
% 0.23/0.78 (~( ( ( f @ Y ) != ( Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) ) ))).
% 0.23/0.78 thf(zf_stmt_12, negated_conjecture,
% 0.23/0.78 (( ( f @ Y ) != ( Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_5])).
% 0.23/0.78 thf(zip_derived_cl4, plain,
% 0.23/0.78 (![X0 : $i]: (((f @ X0) != (X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.23/0.78 thf(zip_derived_cl189, plain,
% 0.23/0.78 ((((f @ k) = (m))
% 0.23/0.78 | ((f @ k) = (n))
% 0.23/0.78 | ((k) != (k))
% 0.23/0.78 | ~ (element @ k @ m)
% 0.23/0.78 | ((k) = (m)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl4])).
% 0.23/0.78 thf(zip_derived_cl180, plain, ( (element @ k @ m)),
% 0.23/0.78 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl101])).
% 0.23/0.78 thf(zip_derived_cl197, plain,
% 0.23/0.78 ((((f @ k) = (m)) | ((f @ k) = (n)) | ((k) != (k)) | ((k) = (m)))),
% 0.23/0.78 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl180])).
% 0.23/0.78 thf(zip_derived_cl198, plain,
% 0.23/0.78 ((((k) = (m)) | ((f @ k) = (n)) | ((f @ k) = (m)))),
% 0.23/0.78 inference('simplify', [status(thm)], [zip_derived_cl197])).
% 0.23/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.23/0.78 thf(zip_derived_cl199, plain, ((((f @ k) = (n)) | ((f @ k) = (m)))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl198, zip_derived_cl2])).
% 0.23/0.78 thf(c_6, conjecture,
% 0.23/0.78 (~( ( element @ Y @ ( f @ Y ) ) | ( ~( element @ Y @ m ) ) |
% 0.23/0.78 ( ( Y ) = ( m ) ) ))).
% 0.23/0.78 thf(zf_stmt_13, negated_conjecture,
% 0.23/0.78 (( element @ Y @ ( f @ Y ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_6])).
% 0.23/0.78 thf(zip_derived_cl5, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 ( (element @ X0 @ (f @ X0)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.23/0.78 thf(zip_derived_cl208, plain,
% 0.23/0.78 ((((f @ k) = (m))
% 0.23/0.78 | (element @ k @ n)
% 0.23/0.78 | ~ (element @ k @ m)
% 0.23/0.78 | ((k) = (m)))),
% 0.23/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl5])).
% 0.23/0.78 thf(zip_derived_cl180, plain, ( (element @ k @ m)),
% 0.23/0.78 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl101])).
% 0.23/0.78 thf(zip_derived_cl216, plain,
% 0.23/0.78 ((((f @ k) = (m)) | (element @ k @ n) | ((k) = (m)))),
% 0.23/0.78 inference('demod', [status(thm)], [zip_derived_cl208, zip_derived_cl180])).
% 0.23/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.23/0.78 thf(zip_derived_cl217, plain, ((((f @ k) = (m)) | (element @ k @ n))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl216, zip_derived_cl2])).
% 0.23/0.78 thf(c_4, conjecture,
% 0.23/0.78 (~( ( ( f @ Y ) != ( m ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) ) ))).
% 0.23/0.78 thf(zf_stmt_14, negated_conjecture,
% 0.23/0.78 (( ( f @ Y ) != ( m ) ) | ( ~( element @ Y @ m ) ) | ( ( Y ) = ( m ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_4])).
% 0.23/0.78 thf(zip_derived_cl3, plain,
% 0.23/0.78 (![X0 : $i]: (((f @ X0) != (m)) | ~ (element @ X0 @ m) | ((X0) = (m)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.23/0.78 thf(zip_derived_cl232, plain,
% 0.23/0.78 (( (element @ k @ n) | ((m) != (m)) | ~ (element @ k @ m) | ((k) = (m)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl217, zip_derived_cl3])).
% 0.23/0.78 thf(zip_derived_cl180, plain, ( (element @ k @ m)),
% 0.23/0.78 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl101])).
% 0.23/0.78 thf(zip_derived_cl238, plain,
% 0.23/0.78 (( (element @ k @ n) | ((m) != (m)) | ((k) = (m)))),
% 0.23/0.78 inference('demod', [status(thm)], [zip_derived_cl232, zip_derived_cl180])).
% 0.23/0.78 thf(zip_derived_cl239, plain, ((((k) = (m)) | (element @ k @ n))),
% 0.23/0.78 inference('simplify', [status(thm)], [zip_derived_cl238])).
% 0.23/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.23/0.78 thf(zip_derived_cl240, plain, ( (element @ k @ n)),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl239, zip_derived_cl2])).
% 0.23/0.78 thf(c_13, conjecture,
% 0.23/0.78 (~( ( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) |
% 0.23/0.78 ( ( V ) = ( Y ) ) | ( ( V ) = ( n ) ) | ( ~( element @ Y @ n ) ) |
% 0.23/0.78 ( ( Y ) = ( n ) ) ))).
% 0.23/0.78 thf(zf_stmt_15, negated_conjecture,
% 0.23/0.78 (( ~( element @ V @ Y ) ) | ( ~( element @ Y @ V ) ) | ( ( V ) = ( Y ) ) |
% 0.23/0.78 ( ( V ) = ( n ) ) | ( ~( element @ Y @ n ) ) | ( ( Y ) = ( n ) )),
% 0.23/0.78 inference('cnf.neg', [status(esa)], [c_13])).
% 0.23/0.78 thf(zip_derived_cl12, plain,
% 0.23/0.78 (![X0 : $i, X1 : $i]:
% 0.23/0.78 (~ (element @ X0 @ X1)
% 0.23/0.78 | ~ (element @ X1 @ X0)
% 0.23/0.78 | ((X0) = (X1))
% 0.23/0.78 | ((X0) = (n))
% 0.23/0.78 | ~ (element @ X1 @ n)
% 0.23/0.78 | ((X1) = (n)))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.23/0.78 thf(zip_derived_cl277, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 (~ (element @ X0 @ k)
% 0.23/0.78 | ~ (element @ k @ X0)
% 0.23/0.78 | ((X0) = (k))
% 0.23/0.78 | ((X0) = (n))
% 0.23/0.78 | ((k) = (n)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl12])).
% 0.23/0.78 thf(zip_derived_cl1, plain, (((n) != (k))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.23/0.78 thf(zip_derived_cl279, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 (~ (element @ X0 @ k)
% 0.23/0.78 | ~ (element @ k @ X0)
% 0.23/0.78 | ((X0) = (k))
% 0.23/0.78 | ((X0) = (n)))),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl277, zip_derived_cl1])).
% 0.23/0.78 thf(zip_derived_cl361, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 (((X0) = (k))
% 0.23/0.78 | ((X0) != (m))
% 0.23/0.78 | ~ (element @ k @ X0)
% 0.23/0.78 | ((X0) = (k))
% 0.23/0.78 | ((X0) = (n)))),
% 0.23/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl279])).
% 0.23/0.78 thf(zip_derived_cl367, plain,
% 0.23/0.78 (![X0 : $i]:
% 0.23/0.78 (((X0) = (n)) | ~ (element @ k @ X0) | ((X0) != (m)) | ((X0) = (k)))),
% 0.23/0.78 inference('simplify', [status(thm)], [zip_derived_cl361])).
% 0.23/0.78 thf(zip_derived_cl427, plain,
% 0.23/0.78 ((((m) = (k)) | ~ (element @ k @ m) | ((m) = (n)))),
% 0.23/0.78 inference('eq_res', [status(thm)], [zip_derived_cl367])).
% 0.23/0.78 thf(zip_derived_cl180, plain, ( (element @ k @ m)),
% 0.23/0.78 inference('clc', [status(thm)], [zip_derived_cl170, zip_derived_cl101])).
% 0.23/0.78 thf(zip_derived_cl428, plain, ((((m) = (k)) | ((m) = (n)))),
% 0.23/0.78 inference('demod', [status(thm)], [zip_derived_cl427, zip_derived_cl180])).
% 0.23/0.78 thf(zip_derived_cl0, plain, (((m) != (n))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.23/0.78 thf(zip_derived_cl2, plain, (((k) != (m))),
% 0.23/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.23/0.78 thf(zip_derived_cl429, plain, ($false),
% 0.23/0.78 inference('simplify_reflect-', [status(thm)],
% 0.23/0.78 [zip_derived_cl428, zip_derived_cl0, zip_derived_cl2])).
% 0.23/0.78
% 0.23/0.78 % SZS output end Refutation
% 0.23/0.78
% 0.23/0.78
% 0.23/0.78 % Terminating...
% 1.57/0.89 % Runner terminated.
% 1.57/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------