TSTP Solution File: COM003-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM003-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tqQ3swrfnw true
% Computer : n005.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 : Wed Aug 30 18:49:02 EDT 2023
% Result : Unsatisfiable 6.11s 1.46s
% Output : Refutation 6.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM003-1 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tqQ3swrfnw true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 12:45:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.28/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.28/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.11/1.46 % Solved by fo/fo13.sh.
% 6.11/1.46 % done 796 iterations in 0.656s
% 6.11/1.46 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.11/1.46 % SZS output start Refutation
% 6.11/1.46 thf(c4_type, type, c4: $i).
% 6.11/1.46 thf(outputs_type, type, outputs: $i > $i > $o).
% 6.11/1.46 thf(algorithm_type, type, algorithm: $i > $o).
% 6.11/1.46 thf(f6_type, type, f6: $i > $i).
% 6.11/1.46 thf(decides_type, type, decides: $i > $i > $i > $o).
% 6.11/1.46 thf(program_type, type, program: $i > $o).
% 6.11/1.46 thf(good_type, type, good: $i).
% 6.11/1.46 thf(bad_type, type, bad: $i).
% 6.11/1.46 thf(f5_type, type, f5: $i > $i).
% 6.11/1.46 thf(f3_type, type, f3: $i > $i).
% 6.11/1.46 thf(f1_type, type, f1: $i > $i).
% 6.11/1.46 thf(halts2_type, type, halts2: $i > $i > $o).
% 6.11/1.46 thf(f2_type, type, f2: $i > $i).
% 6.11/1.46 thf(c2_type, type, c2: $i).
% 6.11/1.46 thf(c3_type, type, c3: $i).
% 6.11/1.46 thf(halts3_type, type, halts3: $i > $i > $i > $o).
% 6.11/1.46 thf(c1_type, type, c1: $i).
% 6.11/1.46 thf(f4_type, type, f4: $i > $i).
% 6.11/1.46 thf(hypothesis_4_3, axiom,
% 6.11/1.46 (( ~( program @ V ) ) | ( program @ ( f6 @ V ) ) | ( ~( program @ Y ) ) |
% 6.11/1.46 ( halts2 @ Y @ Y ) | ( halts2 @ c3 @ Y ))).
% 6.11/1.46 thf(zip_derived_cl34, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]:
% 6.11/1.46 (~ (program @ X0)
% 6.11/1.46 | (program @ (f6 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | (halts2 @ X1 @ X1)
% 6.11/1.46 | (halts2 @ c3 @ X1))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_4_3])).
% 6.11/1.46 thf(hypothesis_3_4, axiom,
% 6.11/1.46 (( ~( program @ W ) ) | ( program @ ( f5 @ W ) ) | ( ~( program @ Y ) ) |
% 6.11/1.46 ( halts2 @ Y @ Y ) | ( halts2 @ c2 @ Y ))).
% 6.11/1.46 thf(zip_derived_cl15, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]:
% 6.11/1.46 (~ (program @ X0)
% 6.11/1.46 | (program @ (f5 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | (halts2 @ X1 @ X1)
% 6.11/1.46 | (halts2 @ c2 @ X1))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_3_4])).
% 6.11/1.46 thf(hypothesis_3_2, axiom,
% 6.11/1.46 (( ~( program @ W ) ) | ( program @ ( f5 @ W ) ) | ( ~( program @ Y ) ) |
% 6.11/1.46 ( ~( halts2 @ Y @ Y ) ) | ( halts2 @ c2 @ Y ))).
% 6.11/1.46 thf(zip_derived_cl13, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]:
% 6.11/1.46 (~ (program @ X0)
% 6.11/1.46 | (program @ (f5 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | ~ (halts2 @ X1 @ X1)
% 6.11/1.46 | (halts2 @ c2 @ X1))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_3_2])).
% 6.11/1.46 thf(zip_derived_cl51, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]:
% 6.11/1.46 ( (halts2 @ c2 @ X1)
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | (program @ (f5 @ X0))
% 6.11/1.46 | ~ (program @ X0))),
% 6.11/1.46 inference('clc', [status(thm)], [zip_derived_cl15, zip_derived_cl13])).
% 6.11/1.46 thf(hypothesis_2_3, axiom,
% 6.11/1.46 (( ~( program @ W ) ) | ( program @ ( f4 @ W ) ) | ( ~( program @ Y ) ) |
% 6.11/1.46 ( halts2 @ Y @ Z ) | ( halts3 @ W @ Y @ Z ))).
% 6.11/1.46 thf(zip_derived_cl6, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.46 (~ (program @ X0)
% 6.11/1.46 | (program @ (f4 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | (halts2 @ X1 @ X2)
% 6.11/1.46 | (halts3 @ X0 @ X1 @ X2))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_2_3])).
% 6.11/1.46 thf(hypothesis_2_1, axiom,
% 6.11/1.46 (( ~( program @ W ) ) | ( program @ ( f4 @ W ) ) | ( ~( program @ Y ) ) |
% 6.11/1.46 ( ~( halts2 @ Y @ Z ) ) | ( halts3 @ W @ Y @ Z ))).
% 6.11/1.46 thf(zip_derived_cl4, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.46 (~ (program @ X0)
% 6.11/1.46 | (program @ (f4 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | ~ (halts2 @ X1 @ X2)
% 6.11/1.46 | (halts3 @ X0 @ X1 @ X2))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_2_1])).
% 6.11/1.46 thf(zip_derived_cl50, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.46 ( (halts3 @ X0 @ X1 @ X2)
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | (program @ (f4 @ X0))
% 6.11/1.46 | ~ (program @ X0))),
% 6.11/1.46 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 6.11/1.46 thf(hypothesis_1_2, axiom,
% 6.11/1.46 (( ~( algorithm @ X ) ) | ( program @ ( f2 @ X ) ) |
% 6.11/1.46 ( ~( program @ Y ) ) | ( decides @ c1 @ Y @ Z ))).
% 6.11/1.46 thf(zip_derived_cl1, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.46 (~ (algorithm @ X0)
% 6.11/1.46 | (program @ (f2 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | (decides @ c1 @ X1 @ X2))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_1_2])).
% 6.11/1.46 thf(prove_the_algorithm_doesnt_exist, conjecture,
% 6.11/1.46 (~( ( decides @ c4 @ Y1 @ Z1 ) | ( ~( program @ Y1 ) ) ))).
% 6.11/1.46 thf(zf_stmt_0, negated_conjecture,
% 6.11/1.46 (( decides @ c4 @ Y1 @ Z1 ) | ( ~( program @ Y1 ) )),
% 6.11/1.46 inference('cnf.neg', [status(esa)], [prove_the_algorithm_doesnt_exist])).
% 6.11/1.46 thf(zip_derived_cl49, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]: ( (decides @ c4 @ X0 @ X1) | ~ (program @ X0))),
% 6.11/1.46 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.11/1.46 thf(hypothesis_1_4, axiom,
% 6.11/1.46 (( ~( algorithm @ X ) ) | ( ~( decides @ X @ ( f2 @ X ) @ ( f1 @ X ) ) ) |
% 6.11/1.46 ( ~( program @ Y ) ) | ( decides @ c1 @ Y @ Z ))).
% 6.11/1.46 thf(zip_derived_cl3, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.46 (~ (algorithm @ X0)
% 6.11/1.46 | ~ (decides @ X0 @ (f2 @ X0) @ (f1 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | (decides @ c1 @ X1 @ X2))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_1_4])).
% 6.11/1.46 thf(zip_derived_cl62, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]:
% 6.11/1.46 (~ (program @ (f2 @ c4))
% 6.11/1.46 | ~ (algorithm @ c4)
% 6.11/1.46 | ~ (program @ X0)
% 6.11/1.46 | (decides @ c1 @ X0 @ X1))),
% 6.11/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl3])).
% 6.11/1.46 thf(a_deciding_algorithm, conjecture, (~( algorithm @ c4 ))).
% 6.11/1.46 thf(zf_stmt_1, negated_conjecture, (algorithm @ c4),
% 6.11/1.46 inference('cnf.neg', [status(esa)], [a_deciding_algorithm])).
% 6.11/1.46 thf(zip_derived_cl48, plain, ( (algorithm @ c4)),
% 6.11/1.46 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.11/1.46 thf(zip_derived_cl63, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]:
% 6.11/1.46 (~ (program @ (f2 @ c4))
% 6.11/1.46 | ~ (program @ X0)
% 6.11/1.46 | (decides @ c1 @ X0 @ X1))),
% 6.11/1.46 inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl48])).
% 6.11/1.46 thf(zip_derived_cl64, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.46 ( (decides @ c1 @ X1 @ X0)
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | ~ (algorithm @ c4)
% 6.11/1.46 | ~ (program @ X2)
% 6.11/1.46 | (decides @ c1 @ X2 @ X3))),
% 6.11/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl63])).
% 6.11/1.46 thf(zip_derived_cl48, plain, ( (algorithm @ c4)),
% 6.11/1.46 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.11/1.46 thf(zip_derived_cl65, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.46 ( (decides @ c1 @ X1 @ X0)
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | ~ (program @ X2)
% 6.11/1.46 | (decides @ c1 @ X2 @ X3))),
% 6.11/1.46 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl48])).
% 6.11/1.46 thf(zip_derived_cl68, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]:
% 6.11/1.46 ( (decides @ c1 @ X1 @ X0) | ~ (program @ X1) | ~ (program @ X1))),
% 6.11/1.46 inference('eq_fact', [status(thm)], [zip_derived_cl65])).
% 6.11/1.46 thf(zip_derived_cl70, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]: (~ (program @ X1) | (decides @ c1 @ X1 @ X0))),
% 6.11/1.46 inference('simplify', [status(thm)], [zip_derived_cl68])).
% 6.11/1.46 thf(hypothesis_2_7, axiom,
% 6.11/1.46 (( ~( program @ W ) ) | ( ~( decides @ W @ ( f4 @ W ) @ ( f3 @ W ) ) ) |
% 6.11/1.46 ( ~( program @ Y ) ) | ( halts2 @ Y @ Z ) | ( halts3 @ W @ Y @ Z ))).
% 6.11/1.46 thf(zip_derived_cl10, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.46 (~ (program @ X0)
% 6.11/1.46 | ~ (decides @ X0 @ (f4 @ X0) @ (f3 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | (halts2 @ X1 @ X2)
% 6.11/1.46 | (halts3 @ X0 @ X1 @ X2))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_2_7])).
% 6.11/1.46 thf(hypothesis_2_5, axiom,
% 6.11/1.46 (( ~( program @ W ) ) | ( ~( decides @ W @ ( f4 @ W ) @ ( f3 @ W ) ) ) |
% 6.11/1.46 ( ~( program @ Y ) ) | ( ~( halts2 @ Y @ Z ) ) | ( halts3 @ W @ Y @ Z ))).
% 6.11/1.46 thf(zip_derived_cl8, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.46 (~ (program @ X0)
% 6.11/1.46 | ~ (decides @ X0 @ (f4 @ X0) @ (f3 @ X0))
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | ~ (halts2 @ X1 @ X2)
% 6.11/1.46 | (halts3 @ X0 @ X1 @ X2))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_2_5])).
% 6.11/1.46 thf(zip_derived_cl52, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.46 ( (halts3 @ X0 @ X1 @ X2)
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | ~ (decides @ X0 @ (f4 @ X0) @ (f3 @ X0))
% 6.11/1.46 | ~ (program @ X0))),
% 6.11/1.46 inference('clc', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 6.11/1.46 thf(zip_derived_cl76, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]:
% 6.11/1.46 (~ (program @ (f4 @ c1))
% 6.11/1.46 | (halts3 @ c1 @ X1 @ X0)
% 6.11/1.46 | ~ (program @ X1)
% 6.11/1.46 | ~ (program @ c1))),
% 6.11/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl52])).
% 6.11/1.46 thf(hypothesis_1_1, axiom,
% 6.11/1.46 (( ~( algorithm @ X ) ) | ( program @ ( f2 @ X ) ) | ( program @ c1 ))).
% 6.11/1.46 thf(zip_derived_cl0, plain,
% 6.11/1.46 (![X0 : $i]:
% 6.11/1.46 (~ (algorithm @ X0) | (program @ (f2 @ X0)) | (program @ c1))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_1_1])).
% 6.11/1.46 thf(zip_derived_cl49, plain,
% 6.11/1.46 (![X0 : $i, X1 : $i]: ( (decides @ c4 @ X0 @ X1) | ~ (program @ X0))),
% 6.11/1.46 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.11/1.46 thf(hypothesis_1_3, axiom,
% 6.11/1.46 (( ~( algorithm @ X ) ) | ( ~( decides @ X @ ( f2 @ X ) @ ( f1 @ X ) ) ) |
% 6.11/1.46 ( program @ c1 ))).
% 6.11/1.46 thf(zip_derived_cl2, plain,
% 6.11/1.46 (![X0 : $i]:
% 6.11/1.46 (~ (algorithm @ X0)
% 6.11/1.46 | ~ (decides @ X0 @ (f2 @ X0) @ (f1 @ X0))
% 6.11/1.46 | (program @ c1))),
% 6.11/1.46 inference('cnf', [status(esa)], [hypothesis_1_3])).
% 6.11/1.46 thf(zip_derived_cl56, plain,
% 6.11/1.46 ((~ (program @ (f2 @ c4)) | ~ (algorithm @ c4) | (program @ c1))),
% 6.11/1.46 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl2])).
% 6.11/1.46 thf(zip_derived_cl48, plain, ( (algorithm @ c4)),
% 6.11/1.46 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.11/1.46 thf(zip_derived_cl57, plain, ((~ (program @ (f2 @ c4)) | (program @ c1))),
% 6.11/1.46 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl48])).
% 6.11/1.46 thf(zip_derived_cl58, plain,
% 6.11/1.46 (( (program @ c1) | ~ (algorithm @ c4) | (program @ c1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl57])).
% 6.11/1.47 thf(zip_derived_cl48, plain, ( (algorithm @ c4)),
% 6.11/1.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.11/1.47 thf(zip_derived_cl59, plain, (( (program @ c1) | (program @ c1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl48])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl78, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f4 @ c1)) | (halts3 @ c1 @ X1 @ X0) | ~ (program @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl80, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts3 @ c1 @ X0 @ X1)
% 6.11/1.47 | (halts3 @ c1 @ X3 @ X2)
% 6.11/1.47 | ~ (program @ X3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl78])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl82, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts3 @ c1 @ X0 @ X1)
% 6.11/1.47 | (halts3 @ c1 @ X3 @ X2)
% 6.11/1.47 | ~ (program @ X3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl106, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts3 @ c1 @ X1 @ X0) | ~ (program @ X1))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl82])).
% 6.11/1.47 thf(zip_derived_cl108, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]: ( (halts3 @ c1 @ X1 @ X0) | ~ (program @ X1))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 6.11/1.47 thf(hypothesis_2_4, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( program @ ( f4 @ W ) ) | ( ~( program @ Y ) ) |
% 6.11/1.47 ( halts2 @ Y @ Z ) | ( outputs @ W @ bad ))).
% 6.11/1.47 thf(zip_derived_cl7, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ X0 @ bad))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_2_4])).
% 6.11/1.47 thf(zip_derived_cl70, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]: (~ (program @ X1) | (decides @ c1 @ X1 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl68])).
% 6.11/1.47 thf(hypothesis_2_8, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( ~( decides @ W @ ( f4 @ W ) @ ( f3 @ W ) ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( halts2 @ Y @ Z ) | ( outputs @ W @ bad ))).
% 6.11/1.47 thf(zip_derived_cl11, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (decides @ X0 @ (f4 @ X0) @ (f3 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ X0 @ bad))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_2_8])).
% 6.11/1.47 thf(zip_derived_cl94, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f4 @ c1))
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl11])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl96, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f4 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl101, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (halts2 @ X2 @ X3)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl96])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl103, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (halts2 @ X2 @ X3)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl104, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 ( (halts2 @ X2 @ X3)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl103])).
% 6.11/1.47 thf(zip_derived_cl141, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X1))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl104])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(hypothesis_4_2, axiom,
% 6.11/1.47 (( ~( program @ V ) ) | ( program @ ( f6 @ V ) ) | ( ~( program @ Y ) ) |
% 6.11/1.47 ( ~( halts2 @ Y @ Y ) ) | ( ~( halts2 @ c3 @ Y ) ))).
% 6.11/1.47 thf(zip_derived_cl33, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f6 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_2])).
% 6.11/1.47 thf(zip_derived_cl153, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ c3)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f6 @ X1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl33])).
% 6.11/1.47 thf(hypothesis_4_1, axiom,
% 6.11/1.47 (( ~( program @ V ) ) | ( program @ ( f6 @ V ) ) | ( program @ c3 ))).
% 6.11/1.47 thf(zip_derived_cl32, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f6 @ X0)) | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_1])).
% 6.11/1.47 thf(zip_derived_cl207, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f6 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl153, zip_derived_cl32])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(zip_derived_cl208, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f6 @ X1))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl207, zip_derived_cl143])).
% 6.11/1.47 thf(zip_derived_cl209, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad) | ~ (program @ X0) | (program @ (f6 @ X0)))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl208])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(zip_derived_cl51, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl15, zip_derived_cl13])).
% 6.11/1.47 thf(zip_derived_cl51, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl15, zip_derived_cl13])).
% 6.11/1.47 thf(zip_derived_cl108, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]: ( (halts3 @ c1 @ X1 @ X0) | ~ (program @ X1))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(hypothesis_3_9, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( halts2 @ ( f5 @ W ) @ ( f5 @ W ) ) |
% 6.11/1.47 ( ~( halts3 @ W @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( ~( outputs @ W @ bad ) ) | ( ~( program @ Y ) ) | ( halts2 @ Y @ Y ) |
% 6.11/1.47 ( halts2 @ c2 @ Y ))).
% 6.11/1.47 thf(zip_derived_cl20, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_9])).
% 6.11/1.47 thf(hypothesis_3_7, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( halts2 @ ( f5 @ W ) @ ( f5 @ W ) ) |
% 6.11/1.47 ( ~( halts3 @ W @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( ~( outputs @ W @ bad ) ) | ( ~( program @ Y ) ) |
% 6.11/1.47 ( ~( halts2 @ Y @ Y ) ) | ( halts2 @ c2 @ Y ))).
% 6.11/1.47 thf(zip_derived_cl18, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_7])).
% 6.11/1.47 thf(zip_derived_cl55, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | (halts2 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl20, zip_derived_cl18])).
% 6.11/1.47 thf(zip_derived_cl463, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X2)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ c1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl55])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl467, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X2)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl463, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1144, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X2)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl467])).
% 6.11/1.47 thf(zip_derived_cl1146, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | (halts2 @ X2 @ X1)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (halts2 @ c2 @ X3)
% 6.11/1.47 | ~ (program @ X3)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl1144])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1147, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | (halts2 @ X2 @ X1)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (halts2 @ c2 @ X3)
% 6.11/1.47 | ~ (program @ X3)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1146, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1179, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X2)
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl1147])).
% 6.11/1.47 thf(zip_derived_cl1186, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ X1 @ X2)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1179])).
% 6.11/1.47 thf(zip_derived_cl1204, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl1186])).
% 6.11/1.47 thf(hypothesis_3_1, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( program @ ( f5 @ W ) ) | ( program @ c2 ))).
% 6.11/1.47 thf(zip_derived_cl12, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (program @ c2))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_1])).
% 6.11/1.47 thf(zip_derived_cl108, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]: ( (halts3 @ c1 @ X1 @ X0) | ~ (program @ X1))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 6.11/1.47 thf(zip_derived_cl12, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (program @ c2))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_1])).
% 6.11/1.47 thf(zip_derived_cl12, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (program @ c2))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_1])).
% 6.11/1.47 thf(zip_derived_cl12, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (program @ c2))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_1])).
% 6.11/1.47 thf(zip_derived_cl108, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]: ( (halts3 @ c1 @ X1 @ X0) | ~ (program @ X1))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(hypothesis_3_6, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( halts2 @ ( f5 @ W ) @ ( f5 @ W ) ) |
% 6.11/1.47 ( ~( halts3 @ W @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( ~( outputs @ W @ bad ) ) | ( program @ c2 ))).
% 6.11/1.47 thf(zip_derived_cl17, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_6])).
% 6.11/1.47 thf(zip_derived_cl154, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl17])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl158, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl858, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl158])).
% 6.11/1.47 thf(zip_derived_cl860, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c2)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl858])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl862, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c2)
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl860, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl863, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X0)
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl862])).
% 6.11/1.47 thf(zip_derived_cl870, plain,
% 6.11/1.47 (( (program @ c2)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ (f5 @ c1)))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl863])).
% 6.11/1.47 thf(zip_derived_cl874, plain,
% 6.11/1.47 (( (program @ c2)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | (program @ c2)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl870])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl876, plain,
% 6.11/1.47 (( (program @ c2) | (program @ c2) | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl874, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl877, plain,
% 6.11/1.47 (( (halts2 @ (f5 @ c1) @ (f5 @ c1)) | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl876])).
% 6.11/1.47 thf(zip_derived_cl12, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (program @ c2))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_1])).
% 6.11/1.47 thf(zip_derived_cl877, plain,
% 6.11/1.47 (( (halts2 @ (f5 @ c1) @ (f5 @ c1)) | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl876])).
% 6.11/1.47 thf(hypothesis_2_2, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( program @ ( f4 @ W ) ) | ( ~( program @ Y ) ) |
% 6.11/1.47 ( ~( halts2 @ Y @ Z ) ) | ( outputs @ W @ good ))).
% 6.11/1.47 thf(zip_derived_cl5, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ X0 @ good))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_2_2])).
% 6.11/1.47 thf(zip_derived_cl879, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c2)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | ~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ X0 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl877, zip_derived_cl5])).
% 6.11/1.47 thf(zip_derived_cl881, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c2)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | (program @ c2)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | (outputs @ X0 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl879])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl883, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c2)
% 6.11/1.47 | (program @ c2)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | (outputs @ X0 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl881, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl884, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ X0 @ good)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl883])).
% 6.11/1.47 thf(zip_derived_cl70, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]: (~ (program @ X1) | (decides @ c1 @ X1 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl68])).
% 6.11/1.47 thf(hypothesis_2_6, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( ~( decides @ W @ ( f4 @ W ) @ ( f3 @ W ) ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( ~( halts2 @ Y @ Z ) ) | ( outputs @ W @ good ))).
% 6.11/1.47 thf(zip_derived_cl9, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (decides @ X0 @ (f4 @ X0) @ (f3 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ X0 @ good))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_2_6])).
% 6.11/1.47 thf(zip_derived_cl90, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f4 @ c1))
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl9])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl92, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f4 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl887, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c2)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl884, zip_derived_cl92])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl888, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c2)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl887, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl889, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ X0 @ X1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl888])).
% 6.11/1.47 thf(zip_derived_cl895, plain,
% 6.11/1.47 (( (program @ c2)
% 6.11/1.47 | ~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl877, zip_derived_cl889])).
% 6.11/1.47 thf(zip_derived_cl904, plain,
% 6.11/1.47 (( (outputs @ c1 @ good) | ~ (program @ (f5 @ c1)) | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl895])).
% 6.11/1.47 thf(zip_derived_cl905, plain,
% 6.11/1.47 (( (program @ c2)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl904])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl907, plain,
% 6.11/1.47 (( (program @ c2) | (outputs @ c1 @ good) | (program @ c2))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl905, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl908, plain, (( (outputs @ c1 @ good) | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl907])).
% 6.11/1.47 thf(hypothesis_3_11, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( ~( halts3 @ W @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( ~( outputs @ W @ good ) ) | ( ~( halts2 @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( program @ c2 ))).
% 6.11/1.47 thf(zip_derived_cl22, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (halts2 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_11])).
% 6.11/1.47 thf(zip_derived_cl910, plain,
% 6.11/1.47 (( (program @ c2)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl908, zip_derived_cl22])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl926, plain,
% 6.11/1.47 (( (program @ c2)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl910, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl927, plain,
% 6.11/1.47 ((~ (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl926])).
% 6.11/1.47 thf(zip_derived_cl877, plain,
% 6.11/1.47 (( (halts2 @ (f5 @ c1) @ (f5 @ c1)) | (program @ c2))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl876])).
% 6.11/1.47 thf(zip_derived_cl950, plain,
% 6.11/1.47 (( (program @ c2) | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl927, zip_derived_cl877])).
% 6.11/1.47 thf(zip_derived_cl952, plain, ((~ (program @ (f5 @ c1)) | (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl950])).
% 6.11/1.47 thf(zip_derived_cl954, plain,
% 6.11/1.47 (( (program @ c2) | ~ (program @ c1) | (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl952])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl956, plain, (( (program @ c2) | (program @ c2))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl954, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1206, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1204, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1206, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1204, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl5, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ X0 @ good))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_2_2])).
% 6.11/1.47 thf(zip_derived_cl1213, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f4 @ X1))
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (outputs @ X1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1206, zip_derived_cl5])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1214, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f4 @ X1))
% 6.11/1.47 | (outputs @ X1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1213, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1215, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ X0 @ good)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0)))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1214])).
% 6.11/1.47 thf(zip_derived_cl92, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f4 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1217, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1215, zip_derived_cl92])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1218, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1217, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1219, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ X0 @ X1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1218])).
% 6.11/1.47 thf(zip_derived_cl1227, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1206, zip_derived_cl1219])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1236, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1227, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1237, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1236])).
% 6.11/1.47 thf(zip_derived_cl51, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl15, zip_derived_cl13])).
% 6.11/1.47 thf(zip_derived_cl1237, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | (halts2 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1236])).
% 6.11/1.47 thf(zip_derived_cl5, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ X0 @ good))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_2_2])).
% 6.11/1.47 thf(zip_derived_cl1238, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f4 @ X1))
% 6.11/1.47 | ~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ X1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1237, zip_derived_cl5])).
% 6.11/1.47 thf(zip_derived_cl1353, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ X0 @ good)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | ~ (program @ (f5 @ c1)))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1238])).
% 6.11/1.47 thf(zip_derived_cl1354, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | (outputs @ X1 @ good)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f4 @ X1)))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl1353])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1355, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | (outputs @ X1 @ good)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f4 @ X1)))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1354, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl92, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f4 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1359, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1355, zip_derived_cl92])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1363, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1359, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1364, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (halts2 @ X1 @ X2)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 6.11/1.47 thf(zip_derived_cl1371, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1237, zip_derived_cl1364])).
% 6.11/1.47 thf(zip_derived_cl1382, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1371])).
% 6.11/1.47 thf(zip_derived_cl1389, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1382])).
% 6.11/1.47 thf(zip_derived_cl1390, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl1389])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1391, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1390, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1416, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl1391])).
% 6.11/1.47 thf(zip_derived_cl1418, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X0) | ~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1416])).
% 6.11/1.47 thf(zip_derived_cl1418, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X0) | ~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1416])).
% 6.11/1.47 thf(zip_derived_cl5, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X2)
% 6.11/1.47 | (outputs @ X0 @ good))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_2_2])).
% 6.11/1.47 thf(zip_derived_cl1439, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f4 @ X1))
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (outputs @ X1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1418, zip_derived_cl5])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1457, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f4 @ X1))
% 6.11/1.47 | (outputs @ X1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1439, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1474, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | (outputs @ X0 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f4 @ X0)))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1457])).
% 6.11/1.47 thf(zip_derived_cl92, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f4 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1477, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1474, zip_derived_cl92])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1480, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X1)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1477, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1481, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1480])).
% 6.11/1.47 thf(zip_derived_cl1491, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (outputs @ c1 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1418, zip_derived_cl1481])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1502, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ good) | ~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1503, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1502])).
% 6.11/1.47 thf(hypothesis_4_9, axiom,
% 6.11/1.47 (( ~( program @ V ) ) | ( ~( halts2 @ V @ ( f6 @ V ) ) ) |
% 6.11/1.47 ( ~( outputs @ V @ good ) ) | ( ~( halts2 @ ( f6 @ V ) @ ( f6 @ V ) ) ) |
% 6.11/1.47 ( program @ c3 ))).
% 6.11/1.47 thf(zip_derived_cl40, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (halts2 @ (f6 @ X0) @ (f6 @ X0))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_9])).
% 6.11/1.47 thf(zip_derived_cl1546, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (halts2 @ c1 @ (f6 @ c1))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1503, zip_derived_cl40])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1587, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c1 @ (f6 @ c1))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1546, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1618, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl143, zip_derived_cl1587])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1619, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1618, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(zip_derived_cl209, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad) | ~ (program @ X0) | (program @ (f6 @ X0)))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl208])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(zip_derived_cl1503, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1502])).
% 6.11/1.47 thf(hypothesis_4_10, axiom,
% 6.11/1.47 (( ~( program @ V ) ) | ( ~( halts2 @ V @ ( f6 @ V ) ) ) |
% 6.11/1.47 ( ~( outputs @ V @ good ) ) | ( ~( halts2 @ ( f6 @ V ) @ ( f6 @ V ) ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( ~( halts2 @ Y @ Y ) ) | ( ~( halts2 @ c3 @ Y ) ))).
% 6.11/1.47 thf(zip_derived_cl41, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (halts2 @ (f6 @ X0) @ (f6 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_10])).
% 6.11/1.47 thf(zip_derived_cl1547, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (halts2 @ c1 @ (f6 @ c1))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1503, zip_derived_cl41])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1588, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c1 @ (f6 @ c1))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1547, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1632, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (halts2 @ c1 @ (f6 @ c1))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1588])).
% 6.11/1.47 thf(zip_derived_cl1633, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl143, zip_derived_cl1632])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1634, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1633, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl143, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X1) | (halts2 @ X1 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl141])).
% 6.11/1.47 thf(zip_derived_cl1663, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl1634, zip_derived_cl143])).
% 6.11/1.47 thf(zip_derived_cl1668, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ (f6 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl143, zip_derived_cl1663])).
% 6.11/1.47 thf(zip_derived_cl1669, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ (f6 @ c1))
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1668])).
% 6.11/1.47 thf(zip_derived_cl1673, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl209, zip_derived_cl1669])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1679, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1673, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1680, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | ~ (halts2 @ c3 @ X0) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1679])).
% 6.11/1.47 thf(zip_derived_cl1684, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ c3)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl143, zip_derived_cl1680])).
% 6.11/1.47 thf(zip_derived_cl1687, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | ~ (program @ c3) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1684])).
% 6.11/1.47 thf(zip_derived_cl1690, plain, (( (outputs @ c1 @ bad) | ~ (program @ c3))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1687])).
% 6.11/1.47 thf(zip_derived_cl1717, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (halts2 @ (f6 @ c1) @ (f6 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl1619, zip_derived_cl1690])).
% 6.11/1.47 thf(zip_derived_cl1722, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ (f6 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl143, zip_derived_cl1717])).
% 6.11/1.47 thf(zip_derived_cl1723, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | ~ (program @ (f6 @ c1)) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1722])).
% 6.11/1.47 thf(zip_derived_cl1724, plain,
% 6.11/1.47 (( (outputs @ c1 @ bad) | ~ (program @ (f6 @ c1)))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1723])).
% 6.11/1.47 thf(zip_derived_cl1728, plain,
% 6.11/1.47 ((~ (program @ c1) | (outputs @ c1 @ bad) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl209, zip_derived_cl1724])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1734, plain,
% 6.11/1.47 (( (outputs @ c1 @ bad) | (outputs @ c1 @ bad))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1728, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1735, plain, ( (outputs @ c1 @ bad)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1734])).
% 6.11/1.47 thf(hypothesis_3_19, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( ~( halts3 @ W @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( ~( outputs @ W @ good ) ) | ( ~( outputs @ W @ bad ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( halts2 @ Y @ Y ) | ( halts2 @ c2 @ Y ))).
% 6.11/1.47 thf(zip_derived_cl30, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_19])).
% 6.11/1.47 thf(hypothesis_3_17, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( ~( halts3 @ W @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( ~( outputs @ W @ good ) ) | ( ~( outputs @ W @ bad ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( ~( halts2 @ Y @ Y ) ) | ( halts2 @ c2 @ Y ))).
% 6.11/1.47 thf(zip_derived_cl28, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_17])).
% 6.11/1.47 thf(zip_derived_cl53, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl30, zip_derived_cl28])).
% 6.11/1.47 thf(zip_derived_cl1746, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (outputs @ c1 @ good)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ c1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1735, zip_derived_cl53])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1754, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (outputs @ c1 @ good)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1)))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1746, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1503, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1502])).
% 6.11/1.47 thf(zip_derived_cl1759, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl1754, zip_derived_cl1503])).
% 6.11/1.47 thf(zip_derived_cl1761, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1)) | ~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl108, zip_derived_cl1759])).
% 6.11/1.47 thf(zip_derived_cl1763, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl1761])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1764, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ c2 @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ c2 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1763, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1779, plain,
% 6.11/1.47 (![X0 : $i]: ( (halts2 @ c2 @ X0) | ~ (program @ X0) | ~ (program @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl1764])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl34, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f6 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_3])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(hypothesis_3_3, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( program @ ( f5 @ W ) ) | ( ~( program @ Y ) ) |
% 6.11/1.47 ( ~( halts2 @ Y @ Y ) ) | ( outputs @ c2 @ good ))).
% 6.11/1.47 thf(zip_derived_cl14, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ good))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_3])).
% 6.11/1.47 thf(zip_derived_cl1788, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ c2)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (outputs @ c2 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1781, zip_derived_cl14])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1795, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl1788, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(hypothesis_4_15, axiom,
% 6.11/1.47 (( ~( program @ V ) ) | ( ~( halts2 @ V @ ( f6 @ V ) ) ) |
% 6.11/1.47 ( ~( outputs @ V @ good ) ) | ( ~( outputs @ V @ bad ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( halts2 @ Y @ Y ) | ( halts2 @ c3 @ Y ))).
% 6.11/1.47 thf(zip_derived_cl46, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_15])).
% 6.11/1.47 thf(zip_derived_cl1809, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1795, zip_derived_cl46])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1821, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1809, zip_derived_cl957])).
% 6.11/1.47 thf(hypothesis_3_5, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( program @ ( f5 @ W ) ) | ( ~( program @ Y ) ) |
% 6.11/1.47 ( halts2 @ Y @ Y ) | ( outputs @ c2 @ bad ))).
% 6.11/1.47 thf(zip_derived_cl16, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_5])).
% 6.11/1.47 thf(zip_derived_cl2340, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0)))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl1821, zip_derived_cl16])).
% 6.11/1.47 thf(zip_derived_cl2341, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1)))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl2340])).
% 6.11/1.47 thf(zip_derived_cl2342, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (halts2 @ c3 @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (program @ (f5 @ X2)))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl2341])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2344, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (program @ (f5 @ X2)))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2342, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2540, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl2344])).
% 6.11/1.47 thf(zip_derived_cl2544, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1)))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2540])).
% 6.11/1.47 thf(zip_derived_cl108, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]: ( (halts3 @ c1 @ X1 @ X0) | ~ (program @ X1))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 6.11/1.47 thf(zip_derived_cl1503, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1502])).
% 6.11/1.47 thf(hypothesis_3_18, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( ~( halts3 @ W @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( ~( outputs @ W @ good ) ) | ( ~( outputs @ W @ bad ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( ~( halts2 @ Y @ Y ) ) | ( outputs @ c2 @ good ))).
% 6.11/1.47 thf(zip_derived_cl29, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ good))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_18])).
% 6.11/1.47 thf(zip_derived_cl1544, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ good))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1503, zip_derived_cl29])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1585, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1544, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1735, plain, ( (outputs @ c1 @ bad)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1734])).
% 6.11/1.47 thf(zip_derived_cl1856, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl1585, zip_derived_cl1735])).
% 6.11/1.47 thf(zip_derived_cl1857, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c2 @ good)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1856])).
% 6.11/1.47 thf(zip_derived_cl1859, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl108, zip_derived_cl1857])).
% 6.11/1.47 thf(zip_derived_cl2554, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2544, zip_derived_cl1859])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl2557, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2554, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl2569, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ c2)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl2557])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2576, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2569, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl46, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_15])).
% 6.11/1.47 thf(zip_derived_cl2586, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl2576, zip_derived_cl46])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2597, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2586, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2544, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1)))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2540])).
% 6.11/1.47 thf(zip_derived_cl108, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]: ( (halts3 @ c1 @ X1 @ X0) | ~ (program @ X1))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl106])).
% 6.11/1.47 thf(zip_derived_cl1503, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (outputs @ c1 @ good))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1502])).
% 6.11/1.47 thf(hypothesis_3_20, axiom,
% 6.11/1.47 (( ~( program @ W ) ) | ( ~( halts3 @ W @ ( f5 @ W ) @ ( f5 @ W ) ) ) |
% 6.11/1.47 ( ~( outputs @ W @ good ) ) | ( ~( outputs @ W @ bad ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( halts2 @ Y @ Y ) | ( outputs @ c2 @ bad ))).
% 6.11/1.47 thf(zip_derived_cl31, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ X0 @ (f5 @ X0) @ (f5 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_20])).
% 6.11/1.47 thf(zip_derived_cl1545, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1503, zip_derived_cl31])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl1586, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (outputs @ c1 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1545, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl1735, plain, ( (outputs @ c1 @ bad)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1734])).
% 6.11/1.47 thf(zip_derived_cl1978, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl1586, zip_derived_cl1735])).
% 6.11/1.47 thf(zip_derived_cl1979, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (halts3 @ c1 @ (f5 @ c1) @ (f5 @ c1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl1978])).
% 6.11/1.47 thf(zip_derived_cl1981, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl108, zip_derived_cl1979])).
% 6.11/1.47 thf(zip_derived_cl2555, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2544, zip_derived_cl1981])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl2558, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2555, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl2606, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl2558])).
% 6.11/1.47 thf(zip_derived_cl2608, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2606])).
% 6.11/1.47 thf(zip_derived_cl2669, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl2597, zip_derived_cl2608])).
% 6.11/1.47 thf(zip_derived_cl2670, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl2669])).
% 6.11/1.47 thf(zip_derived_cl2671, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (halts2 @ c3 @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (halts2 @ X2 @ X2)
% 6.11/1.47 | (halts2 @ c3 @ X2))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl2670])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2673, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | (halts2 @ X2 @ X2)
% 6.11/1.47 | (halts2 @ c3 @ X2))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2671, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2855, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ c3)
% 6.11/1.47 | ~ (program @ c3)
% 6.11/1.47 | ~ (program @ c3)
% 6.11/1.47 | (halts2 @ c3 @ c3)
% 6.11/1.47 | (halts2 @ c3 @ c3)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (halts2 @ c3 @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl2673])).
% 6.11/1.47 thf(zip_derived_cl2880, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c3)
% 6.11/1.47 | (halts2 @ c3 @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2855])).
% 6.11/1.47 thf(zip_derived_cl32, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f6 @ X0)) | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_1])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl32, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f6 @ X0)) | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_1])).
% 6.11/1.47 thf(zip_derived_cl32, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f6 @ X0)) | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_1])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl32, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f6 @ X0)) | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_1])).
% 6.11/1.47 thf(zip_derived_cl16, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_5])).
% 6.11/1.47 thf(zip_derived_cl32, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f6 @ X0)) | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_1])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl1795, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl1788, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl40, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (halts2 @ (f6 @ X0) @ (f6 @ X0))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_9])).
% 6.11/1.47 thf(zip_derived_cl1803, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1795, zip_derived_cl40])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1815, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1803, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1865, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl1815])).
% 6.11/1.47 thf(zip_derived_cl1871, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1865])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1874, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1871, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1875, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1874])).
% 6.11/1.47 thf(zip_derived_cl1879, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ (f6 @ c2))
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl1875])).
% 6.11/1.47 thf(zip_derived_cl2069, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1879])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2072, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2069, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2073, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2072])).
% 6.11/1.47 thf(zip_derived_cl2086, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl2073])).
% 6.11/1.47 thf(zip_derived_cl2088, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2086])).
% 6.11/1.47 thf(zip_derived_cl1795, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl1788, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(hypothesis_4_13, axiom,
% 6.11/1.47 (( ~( program @ V ) ) | ( ~( halts2 @ V @ ( f6 @ V ) ) ) |
% 6.11/1.47 ( ~( outputs @ V @ good ) ) | ( ~( outputs @ V @ bad ) ) |
% 6.11/1.47 ( program @ c3 ))).
% 6.11/1.47 thf(zip_derived_cl44, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_13])).
% 6.11/1.47 thf(zip_derived_cl1807, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1795, zip_derived_cl44])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1819, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1807, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2105, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2088, zip_derived_cl1819])).
% 6.11/1.47 thf(zip_derived_cl2114, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2105])).
% 6.11/1.47 thf(zip_derived_cl2120, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl2114])).
% 6.11/1.47 thf(zip_derived_cl2121, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl2120])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2124, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2121, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2125, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2124])).
% 6.11/1.47 thf(zip_derived_cl2134, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl2125])).
% 6.11/1.47 thf(zip_derived_cl2136, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0)) | ~ (program @ X0) | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2134])).
% 6.11/1.47 thf(zip_derived_cl1981, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl108, zip_derived_cl1979])).
% 6.11/1.47 thf(zip_derived_cl2144, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2136, zip_derived_cl1981])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl2146, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2144, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl32, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f6 @ X0)) | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_1])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl2136, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0)) | ~ (program @ X0) | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2134])).
% 6.11/1.47 thf(zip_derived_cl1859, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl108, zip_derived_cl1857])).
% 6.11/1.47 thf(zip_derived_cl2143, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | ~ (program @ c1)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2136, zip_derived_cl1859])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl2145, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (program @ c3)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2143, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl2152, plain,
% 6.11/1.47 ((~ (program @ c2)
% 6.11/1.47 | (program @ c3)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl2145])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2157, plain, (( (program @ c3) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2152, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl40, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (halts2 @ (f6 @ X0) @ (f6 @ X0))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_9])).
% 6.11/1.47 thf(zip_derived_cl2162, plain,
% 6.11/1.47 (( (program @ c3)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl2157, zip_derived_cl40])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2174, plain,
% 6.11/1.47 (( (program @ c3)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2162, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2175, plain,
% 6.11/1.47 ((~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2174])).
% 6.11/1.47 thf(zip_derived_cl2204, plain,
% 6.11/1.47 ((~ (program @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl2175])).
% 6.11/1.47 thf(zip_derived_cl2205, plain,
% 6.11/1.47 (( (program @ c3)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl2204])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2208, plain,
% 6.11/1.47 (( (program @ c3) | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2)) | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2205, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2209, plain,
% 6.11/1.47 ((~ (halts2 @ (f6 @ c2) @ (f6 @ c2)) | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2208])).
% 6.11/1.47 thf(zip_derived_cl2216, plain,
% 6.11/1.47 ((~ (program @ (f6 @ c2))
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ c3)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2146, zip_derived_cl2209])).
% 6.11/1.47 thf(zip_derived_cl2217, plain,
% 6.11/1.47 (( (program @ c3) | (outputs @ c2 @ bad) | ~ (program @ (f6 @ c2)))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2216])).
% 6.11/1.47 thf(zip_derived_cl2218, plain,
% 6.11/1.47 (( (program @ c3)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | (program @ c3)
% 6.11/1.47 | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl2217])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2221, plain,
% 6.11/1.47 (( (program @ c3) | (program @ c3) | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2218, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2222, plain, (( (outputs @ c2 @ bad) | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2221])).
% 6.11/1.47 thf(zip_derived_cl2157, plain, (( (program @ c3) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2152, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl44, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_13])).
% 6.11/1.47 thf(zip_derived_cl2166, plain,
% 6.11/1.47 (( (program @ c3)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl2157, zip_derived_cl44])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2179, plain,
% 6.11/1.47 (( (program @ c3)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2166, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2180, plain,
% 6.11/1.47 ((~ (outputs @ c2 @ bad) | ~ (halts2 @ c2 @ (f6 @ c2)) | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2179])).
% 6.11/1.47 thf(zip_derived_cl2232, plain,
% 6.11/1.47 (( (program @ c3) | ~ (halts2 @ c2 @ (f6 @ c2)) | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2222, zip_derived_cl2180])).
% 6.11/1.47 thf(zip_derived_cl2240, plain,
% 6.11/1.47 ((~ (halts2 @ c2 @ (f6 @ c2)) | (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2232])).
% 6.11/1.47 thf(zip_derived_cl2241, plain, ((~ (program @ (f6 @ c2)) | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl2240])).
% 6.11/1.47 thf(zip_derived_cl2242, plain,
% 6.11/1.47 (( (program @ c3) | ~ (program @ c2) | (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl2241])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2245, plain, (( (program @ c3) | (program @ c3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2242, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl2882, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ c3 @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ c3 @ c3))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2880, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl2922, plain,
% 6.11/1.47 ((~ (program @ c3) | (halts2 @ c3 @ c3) | (halts2 @ c3 @ c3))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl2882])).
% 6.11/1.47 thf(zip_derived_cl2928, plain, (( (halts2 @ c3 @ c3) | ~ (program @ c3))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2922])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl2929, plain, ( (halts2 @ c3 @ c3)),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2928, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl2929, plain, ( (halts2 @ c3 @ c3)),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2928, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl33, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f6 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_2])).
% 6.11/1.47 thf(zip_derived_cl2943, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f6 @ X0)) | ~ (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl2929, zip_derived_cl33])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl2945, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (program @ (f6 @ X0)))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2943, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl2929, plain, ( (halts2 @ c3 @ c3)),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2928, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl2945, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (program @ (f6 @ X0)))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2943, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl16, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1)
% 6.11/1.47 | (outputs @ c2 @ bad))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_3_5])).
% 6.11/1.47 thf(zip_derived_cl1795, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl1788, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(hypothesis_4_14, axiom,
% 6.11/1.47 (( ~( program @ V ) ) | ( ~( halts2 @ V @ ( f6 @ V ) ) ) |
% 6.11/1.47 ( ~( outputs @ V @ good ) ) | ( ~( outputs @ V @ bad ) ) |
% 6.11/1.47 ( ~( program @ Y ) ) | ( ~( halts2 @ Y @ Y ) ) | ( ~( halts2 @ c3 @ Y ) ))).
% 6.11/1.47 thf(zip_derived_cl45, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_14])).
% 6.11/1.47 thf(zip_derived_cl1808, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1795, zip_derived_cl45])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1820, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1808, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1855, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 ( (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X2))
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X3)
% 6.11/1.47 | ~ (halts2 @ X3 @ X3)
% 6.11/1.47 | ~ (halts2 @ c3 @ X3))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl1820])).
% 6.11/1.47 thf(zip_derived_cl2487, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X2))
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | ~ (program @ X3)
% 6.11/1.47 | ~ (halts2 @ X3 @ X3)
% 6.11/1.47 | ~ (halts2 @ c3 @ X3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl1855])).
% 6.11/1.47 thf(zip_derived_cl2950, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 (~ (program @ c2)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X2))
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | ~ (program @ X3)
% 6.11/1.47 | ~ (halts2 @ X3 @ X3)
% 6.11/1.47 | ~ (halts2 @ c3 @ X3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2945, zip_derived_cl2487])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2955, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.11/1.47 ( (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X2))
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | ~ (program @ X3)
% 6.11/1.47 | ~ (halts2 @ X3 @ X3)
% 6.11/1.47 | ~ (halts2 @ c3 @ X3))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2950, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl3089, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X2))
% 6.11/1.47 | ~ (program @ X2)
% 6.11/1.47 | ~ (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2929, zip_derived_cl2955])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl3093, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.11/1.47 ( (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X1))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X2))
% 6.11/1.47 | ~ (program @ X2))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3089, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl3101, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl3093])).
% 6.11/1.47 thf(zip_derived_cl3103, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl3101])).
% 6.11/1.47 thf(zip_derived_cl1859, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl108, zip_derived_cl1857])).
% 6.11/1.47 thf(zip_derived_cl3111, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl3103, zip_derived_cl1859])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl3113, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl3111, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl3120, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ c2)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ c2))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl3113])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl3126, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (halts2 @ X0 @ X0) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3120, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl45, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (outputs @ X0 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_14])).
% 6.11/1.47 thf(zip_derived_cl3136, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl3126, zip_derived_cl45])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl3144, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl3136, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl3103, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl3101])).
% 6.11/1.47 thf(zip_derived_cl1981, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl108, zip_derived_cl1979])).
% 6.11/1.47 thf(zip_derived_cl3112, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl3103, zip_derived_cl1981])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl3114, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl3112, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl3153, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (outputs @ c2 @ bad)
% 6.11/1.47 | ~ (program @ X0))),
% 6.11/1.47 inference('eq_fact', [status(thm)], [zip_derived_cl3114])).
% 6.11/1.47 thf(zip_derived_cl3155, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c2 @ bad) | ~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl3153])).
% 6.11/1.47 thf(zip_derived_cl3175, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ c3 @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl3144, zip_derived_cl3155])).
% 6.11/1.47 thf(zip_derived_cl3176, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl3175])).
% 6.11/1.47 thf(zip_derived_cl3177, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2945, zip_derived_cl3176])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl3178, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (halts2 @ X1 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl3177, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl3183, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ c3) | ~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2929, zip_derived_cl3178])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl3187, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3183, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl2945, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (program @ (f6 @ X0)))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2943, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl3187, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3183, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl2945, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (program @ (f6 @ X0)))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2943, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl3187, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3183, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl2945, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (program @ (f6 @ X0)))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl2943, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl1781, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ c2 @ X0))),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 6.11/1.47 thf(zip_derived_cl1795, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0) | (program @ (f5 @ X0)) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl1788, zip_derived_cl957, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl41, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (halts2 @ (f6 @ X0) @ (f6 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_10])).
% 6.11/1.47 thf(zip_derived_cl1804, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl1795, zip_derived_cl41])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl1816, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl1804, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl1945, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl1816])).
% 6.11/1.47 thf(zip_derived_cl2949, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c2)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2945, zip_derived_cl1945])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl2954, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 ( (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl2949, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl3188, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl3187, zip_derived_cl2954])).
% 6.11/1.47 thf(zip_derived_cl3187, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3183, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl3190, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ c3 @ X1)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0))
% 6.11/1.47 | ~ (program @ (f6 @ c2)))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl3188, zip_derived_cl3187])).
% 6.11/1.47 thf(zip_derived_cl3191, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1)))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2945, zip_derived_cl3190])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl3192, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | (program @ (f5 @ X1)))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl3191, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl3194, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ c3)
% 6.11/1.47 | ~ (program @ c3)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | (program @ (f5 @ X0)))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl3187, zip_derived_cl3192])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl3198, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (program @ (f5 @ X0)))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3194, zip_derived_cl2246, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl1859, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f5 @ c1))
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl108, zip_derived_cl1857])).
% 6.11/1.47 thf(zip_derived_cl3201, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ c1)
% 6.11/1.47 | (outputs @ c2 @ good)
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl3198, zip_derived_cl1859])).
% 6.11/1.47 thf(zip_derived_cl60, plain, ( (program @ c1)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 6.11/1.47 thf(zip_derived_cl3202, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 ( (outputs @ c2 @ good) | ~ (program @ X0) | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl3201, zip_derived_cl60])).
% 6.11/1.47 thf(zip_derived_cl3187, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3183, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl3203, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (outputs @ c2 @ good))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl3202, zip_derived_cl3187])).
% 6.11/1.47 thf(zip_derived_cl41, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ (f6 @ X0))
% 6.11/1.47 | ~ (outputs @ X0 @ good)
% 6.11/1.47 | ~ (halts2 @ (f6 @ X0) @ (f6 @ X0))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('cnf', [status(esa)], [hypothesis_4_10])).
% 6.11/1.47 thf(zip_derived_cl3209, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (program @ c2)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('s_sup-', [status(thm)], [zip_derived_cl3203, zip_derived_cl41])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl3216, plain,
% 6.11/1.47 (![X0 : $i, X1 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X1)
% 6.11/1.47 | ~ (halts2 @ X1 @ X1)
% 6.11/1.47 | ~ (halts2 @ c3 @ X1))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl3209, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl3230, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (halts2 @ c3 @ X0)
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('condensation', [status(thm)], [zip_derived_cl3216])).
% 6.11/1.47 thf(zip_derived_cl3187, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3183, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl3231, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ c2 @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ c3 @ X0))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl3230, zip_derived_cl3187])).
% 6.11/1.47 thf(zip_derived_cl3232, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (program @ (f6 @ c2))
% 6.11/1.47 | ~ (program @ X0)
% 6.11/1.47 | ~ (halts2 @ (f6 @ c2) @ (f6 @ c2))
% 6.11/1.47 | ~ (halts2 @ c3 @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl1781, zip_derived_cl3231])).
% 6.11/1.47 thf(zip_derived_cl3187, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ X0) | (halts2 @ X0 @ X0))),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3183, zip_derived_cl2246])).
% 6.11/1.47 thf(zip_derived_cl3233, plain,
% 6.11/1.47 (![X0 : $i]:
% 6.11/1.47 (~ (halts2 @ c3 @ X0) | ~ (program @ X0) | ~ (program @ (f6 @ c2)))),
% 6.11/1.47 inference('clc', [status(thm)], [zip_derived_cl3232, zip_derived_cl3187])).
% 6.11/1.47 thf(zip_derived_cl3234, plain,
% 6.11/1.47 (![X0 : $i]: (~ (program @ c2) | ~ (halts2 @ c3 @ X0) | ~ (program @ X0))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl2945, zip_derived_cl3233])).
% 6.11/1.47 thf(zip_derived_cl957, plain, ( (program @ c2)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl956])).
% 6.11/1.47 thf(zip_derived_cl3235, plain,
% 6.11/1.47 (![X0 : $i]: (~ (halts2 @ c3 @ X0) | ~ (program @ X0))),
% 6.11/1.47 inference('demod', [status(thm)], [zip_derived_cl3234, zip_derived_cl957])).
% 6.11/1.47 thf(zip_derived_cl3237, plain, ((~ (program @ c3) | ~ (program @ c3))),
% 6.11/1.47 inference('s_sup-', [status(thm)],
% 6.11/1.47 [zip_derived_cl3187, zip_derived_cl3235])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl2246, plain, ( (program @ c3)),
% 6.11/1.47 inference('simplify', [status(thm)], [zip_derived_cl2245])).
% 6.11/1.47 thf(zip_derived_cl3240, plain, ($false),
% 6.11/1.47 inference('demod', [status(thm)],
% 6.11/1.47 [zip_derived_cl3237, zip_derived_cl2246, zip_derived_cl2246])).
% 6.11/1.47
% 6.11/1.47 % SZS output end Refutation
% 6.11/1.47
% 6.11/1.47
% 6.11/1.47 % Terminating...
% 6.52/1.56 % Runner terminated.
% 6.52/1.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------