%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM003+3 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wgoDFwKASs true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:30:32 PM UTC 2025
% Result : Theorem 0.47s 0.86s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : COM003+3 : TPTP v9.2.0. Released v2.0.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wgoDFwKASs true
% 0.09/0.30 % Computer : n001.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Wed Oct 1 13:47:38 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.45/0.55 % Total configuration time : 435
% 0.45/0.55 % Estimated wc time : 1092
% 0.45/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.86 % Solved by fo/fo6_bce.sh.
% 0.47/0.86 % BCE start: 31
% 0.47/0.86 % BCE eliminated: 0
% 0.47/0.86 % PE start: 31
% 0.47/0.86 logic: neq
% 0.47/0.86 % PE eliminated: 5
% 0.47/0.86 % done 118 iterations in 0.154s
% 0.47/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.86 % SZS output start Refutation
% 0.47/0.86 thf(algorithm_type, type, algorithm: $i > $o).
% 0.47/0.86 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $o).
% 0.47/0.86 thf(sk__8_type, type, sk__8: $i).
% 0.47/0.86 thf(sk__type, type, sk_: $i > $i > $i).
% 0.47/0.86 thf(sk__6_type, type, sk__6: $i > $i).
% 0.47/0.86 thf(halts3_type, type, halts3: $i > $i > $i > $o).
% 0.47/0.86 thf(decides_type, type, decides: $i > $i > $i > $o).
% 0.47/0.86 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $o).
% 0.47/0.86 thf(good_type, type, good: $i).
% 0.47/0.86 thf(program_type, type, program: $i > $o).
% 0.47/0.86 thf(sk__4_type, type, sk__4: $i > $i).
% 0.47/0.86 thf(zip_tseitin_12_type, type, zip_tseitin_12: $i > $i > $o).
% 0.47/0.86 thf(halts2_type, type, halts2: $i > $i > $o).
% 0.47/0.86 thf(sk__5_type, type, sk__5: $i > $i).
% 0.47/0.86 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.47/0.86 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.47/0.86 thf(sk__1_type, type, sk__1: $i).
% 0.47/0.86 thf(zip_tseitin_11_type, type, zip_tseitin_11: $i > $i > $i > $o).
% 0.47/0.86 thf(sk__2_type, type, sk__2: $i > $i).
% 0.47/0.86 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $o).
% 0.47/0.86 thf(outputs_type, type, outputs: $i > $i > $o).
% 0.47/0.86 thf(bad_type, type, bad: $i).
% 0.47/0.86 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 0.47/0.86 thf(sk__3_type, type, sk__3: $i > $i > $i).
% 0.47/0.86 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $o).
% 0.47/0.86 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $o).
% 0.47/0.86 thf(zip_tseitin_10_type, type, zip_tseitin_10: $i > $i > $o).
% 0.47/0.86 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $i > $o).
% 0.47/0.86 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $o).
% 0.47/0.86 thf(sk__7_type, type, sk__7: $i > $i).
% 0.47/0.86 thf(p2, axiom,
% 0.47/0.86 (![W:$i]:
% 0.47/0.86 ( ( ( ![Y:$i]: ( ( program @ Y ) => ( ![Z:$i]: ( decides @ W @ Y @ Z ) ) ) ) &
% 0.47/0.86 ( program @ W ) ) =>
% 0.47/0.86 ( ![Y:$i,Z:$i]:
% 0.47/0.86 ( ( ( ( halts2 @ Y @ Z ) & ( program @ Y ) ) =>
% 0.47/0.86 ( ( outputs @ W @ good ) & ( halts3 @ W @ Y @ Z ) ) ) &
% 0.47/0.86 ( ( ( ~( halts2 @ Y @ Z ) ) & ( program @ Y ) ) =>
% 0.47/0.86 ( ( outputs @ W @ bad ) & ( halts3 @ W @ Y @ Z ) ) ) ) ) ))).
% 0.47/0.86 thf(zf_stmt_0, axiom,
% 0.47/0.86 (![Y:$i,W:$i]:
% 0.47/0.86 ( ( ( program @ Y ) => ( ![Z:$i]: ( decides @ W @ Y @ Z ) ) ) =>
% 0.47/0.86 ( zip_tseitin_2 @ Y @ W ) ))).
% 0.47/0.86 thf(zip_derived_cl6, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2 @ X0 @ X1) | (program @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.86 thf(zf_stmt_1, type, zip_tseitin_5 : $i > $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_2, axiom,
% 0.47/0.86 (![Z:$i,Y:$i,W:$i]:
% 0.47/0.86 ( ( zip_tseitin_5 @ Z @ Y @ W ) =>
% 0.47/0.86 ( ( ( ( program @ Y ) & ( ~( halts2 @ Y @ Z ) ) ) =>
% 0.47/0.86 ( zip_tseitin_4 @ Z @ Y @ W ) ) &
% 0.47/0.86 ( ( ( program @ Y ) & ( halts2 @ Y @ Z ) ) =>
% 0.47/0.86 ( zip_tseitin_3 @ Z @ Y @ W ) ) ) ))).
% 0.47/0.86 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_4, axiom,
% 0.47/0.86 (![Z:$i,Y:$i,W:$i]:
% 0.47/0.86 ( ( zip_tseitin_4 @ Z @ Y @ W ) =>
% 0.47/0.86 ( ( halts3 @ W @ Y @ Z ) & ( outputs @ W @ bad ) ) ))).
% 0.47/0.86 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_6, axiom,
% 0.47/0.86 (![Z:$i,Y:$i,W:$i]:
% 0.47/0.86 ( ( zip_tseitin_3 @ Z @ Y @ W ) =>
% 0.47/0.86 ( ( halts3 @ W @ Y @ Z ) & ( outputs @ W @ good ) ) ))).
% 0.47/0.86 thf(zf_stmt_7, type, zip_tseitin_2 : $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_8, axiom,
% 0.47/0.86 (![W:$i]:
% 0.47/0.86 ( ( ( program @ W ) & ( ![Y:$i]: ( zip_tseitin_2 @ Y @ W ) ) ) =>
% 0.47/0.86 ( ![Y:$i,Z:$i]: ( zip_tseitin_5 @ Z @ Y @ W ) ) ))).
% 0.47/0.86 thf(zip_derived_cl13, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (zip_tseitin_2 @ (sk__4 @ X2) @ X2)
% 0.47/0.86 | ~ (program @ X2))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.47/0.86 thf(zip_derived_cl39, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (program @ (sk__4 @ X0))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (zip_tseitin_5 @ X2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl6, zip_derived_cl13])).
% 0.47/0.86 thf(prove_this, conjecture,
% 0.47/0.86 (~( ?[X1:$i]:
% 0.47/0.86 ( ( ![Y1:$i]:
% 0.47/0.86 ( ( program @ Y1 ) => ( ![Z1:$i]: ( decides @ X1 @ Y1 @ Z1 ) ) ) ) &
% 0.47/0.86 ( algorithm @ X1 ) ) ))).
% 0.47/0.86 thf(zf_stmt_9, negated_conjecture,
% 0.47/0.86 (?[X1:$i]:
% 0.47/0.86 ( ( ![Y1:$i]:
% 0.47/0.86 ( ( program @ Y1 ) => ( ![Z1:$i]: ( decides @ X1 @ Y1 @ Z1 ) ) ) ) &
% 0.47/0.86 ( algorithm @ X1 ) )),
% 0.47/0.86 inference('cnf.neg', [status(esa)], [prove_this])).
% 0.47/0.86 thf(zip_derived_cl30, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (decides @ sk__8 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.47/0.86 thf(p1, axiom,
% 0.47/0.86 (( ?[X:$i]:
% 0.47/0.86 ( ( algorithm @ X ) &
% 0.47/0.86 ( ![Y:$i]: ( ( program @ Y ) => ( ![Z:$i]: ( decides @ X @ Y @ Z ) ) ) ) ) ) =>
% 0.47/0.86 ( ?[W:$i]:
% 0.47/0.86 ( ( program @ W ) &
% 0.47/0.86 ( ![Y:$i]: ( ( program @ Y ) => ( ![Z:$i]: ( decides @ W @ Y @ Z ) ) ) ) ) ))).
% 0.47/0.86 thf(zf_stmt_10, axiom,
% 0.47/0.86 (![Y:$i,X:$i]:
% 0.47/0.86 ( ( ( program @ Y ) => ( ![Z:$i]: ( decides @ X @ Y @ Z ) ) ) =>
% 0.47/0.86 ( zip_tseitin_0 @ Y @ X ) ))).
% 0.47/0.86 thf(zip_derived_cl0, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (zip_tseitin_0 @ X0 @ X1) | ~ (decides @ X1 @ X0 @ (sk_ @ X1 @ X0)))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.47/0.86 thf(zip_derived_cl29, plain, ( (algorithm @ sk__8)),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.47/0.86 thf(zf_stmt_11, type, zip_tseitin_1 : $i > $o).
% 0.47/0.86 thf(zf_stmt_12, axiom,
% 0.47/0.86 (![W:$i]:
% 0.47/0.86 ( ( zip_tseitin_1 @ W ) =>
% 0.47/0.86 ( ( ![Y:$i]: ( ( program @ Y ) => ( ![Z:$i]: ( decides @ W @ Y @ Z ) ) ) ) &
% 0.47/0.86 ( program @ W ) ) ))).
% 0.47/0.86 thf(zf_stmt_13, type, zip_tseitin_0 : $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_14, axiom,
% 0.47/0.86 (( ?[X:$i]: ( ( ![Y:$i]: ( zip_tseitin_0 @ Y @ X ) ) & ( algorithm @ X ) ) ) =>
% 0.47/0.86 ( ?[W:$i]: ( zip_tseitin_1 @ W ) ))).
% 0.47/0.86 thf(zip_derived_cl4, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (zip_tseitin_1 @ sk__1)
% 0.47/0.86 | ~ (algorithm @ X0)
% 0.47/0.86 | ~ (zip_tseitin_0 @ (sk__2 @ X0) @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.47/0.86 thf(zip_derived_cl31, plain,
% 0.47/0.86 ((~ (zip_tseitin_0 @ (sk__2 @ sk__8) @ sk__8) | (zip_tseitin_1 @ sk__1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl29, zip_derived_cl4])).
% 0.47/0.86 thf(zip_derived_cl32, plain,
% 0.47/0.86 ((~ (decides @ sk__8 @ (sk__2 @ sk__8) @ (sk_ @ sk__8 @ (sk__2 @ sk__8)))
% 0.47/0.86 | (zip_tseitin_1 @ sk__1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl0, zip_derived_cl31])).
% 0.47/0.86 thf(zip_derived_cl2, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (program @ X0) | (decides @ X1 @ X0 @ X2) | ~ (zip_tseitin_1 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.47/0.86 thf(zip_derived_cl48, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (decides @ sk__8 @ (sk__2 @ sk__8) @
% 0.47/0.86 (sk_ @ sk__8 @ (sk__2 @ sk__8)))
% 0.47/0.86 | (decides @ sk__1 @ X1 @ X0)
% 0.47/0.86 | ~ (program @ X1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl32, zip_derived_cl2])).
% 0.47/0.86 thf(zip_derived_cl116, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ (sk__2 @ sk__8))
% 0.47/0.86 | (decides @ sk__1 @ X1 @ X0)
% 0.47/0.86 | ~ (program @ X1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl48])).
% 0.47/0.86 thf(zip_derived_cl1, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | (program @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.47/0.86 thf(zip_derived_cl31, plain,
% 0.47/0.86 ((~ (zip_tseitin_0 @ (sk__2 @ sk__8) @ sk__8) | (zip_tseitin_1 @ sk__1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl29, zip_derived_cl4])).
% 0.47/0.86 thf(zip_derived_cl33, plain,
% 0.47/0.86 (( (program @ (sk__2 @ sk__8)) | (zip_tseitin_1 @ sk__1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl1, zip_derived_cl31])).
% 0.47/0.86 thf(zip_derived_cl2, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (program @ X0) | (decides @ X1 @ X0 @ X2) | ~ (zip_tseitin_1 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.47/0.86 thf(zip_derived_cl50, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (program @ (sk__2 @ sk__8))
% 0.47/0.86 | (decides @ sk__1 @ X1 @ X0)
% 0.47/0.86 | ~ (program @ X1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl33, zip_derived_cl2])).
% 0.47/0.86 thf(zip_derived_cl119, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: (~ (program @ X1) | (decides @ sk__1 @ X1 @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl116, zip_derived_cl50])).
% 0.47/0.86 thf(zip_derived_cl5, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (zip_tseitin_2 @ X0 @ X1)
% 0.47/0.86 | ~ (decides @ X1 @ X0 @ (sk__3 @ X1 @ X0)))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.86 thf(zip_derived_cl13, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (zip_tseitin_2 @ (sk__4 @ X2) @ X2)
% 0.47/0.86 | ~ (program @ X2))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.47/0.86 thf(zip_derived_cl38, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (decides @ X0 @ (sk__4 @ X0) @ (sk__3 @ X0 @ (sk__4 @ X0)))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (zip_tseitin_5 @ X2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl5, zip_derived_cl13])).
% 0.47/0.86 thf(zip_derived_cl120, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ (sk__4 @ sk__1))
% 0.47/0.86 | ~ (program @ sk__1)
% 0.47/0.86 | (zip_tseitin_5 @ X1 @ X0 @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl38])).
% 0.47/0.86 thf(zip_derived_cl30, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (decides @ sk__8 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.47/0.86 thf(zip_derived_cl32, plain,
% 0.47/0.86 ((~ (decides @ sk__8 @ (sk__2 @ sk__8) @ (sk_ @ sk__8 @ (sk__2 @ sk__8)))
% 0.47/0.86 | (zip_tseitin_1 @ sk__1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl0, zip_derived_cl31])).
% 0.47/0.86 thf(zip_derived_cl3, plain,
% 0.47/0.86 (![X0 : $i]: ( (program @ X0) | ~ (zip_tseitin_1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.47/0.86 thf(zip_derived_cl49, plain,
% 0.47/0.86 ((~ (decides @ sk__8 @ (sk__2 @ sk__8) @ (sk_ @ sk__8 @ (sk__2 @ sk__8)))
% 0.47/0.86 | (program @ sk__1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl32, zip_derived_cl3])).
% 0.47/0.86 thf(zip_derived_cl111, plain,
% 0.47/0.86 ((~ (program @ (sk__2 @ sk__8)) | (program @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl49])).
% 0.47/0.86 thf(zip_derived_cl33, plain,
% 0.47/0.86 (( (program @ (sk__2 @ sk__8)) | (zip_tseitin_1 @ sk__1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl1, zip_derived_cl31])).
% 0.47/0.86 thf(zip_derived_cl3, plain,
% 0.47/0.86 (![X0 : $i]: ( (program @ X0) | ~ (zip_tseitin_1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.47/0.86 thf(zip_derived_cl51, plain,
% 0.47/0.86 (( (program @ (sk__2 @ sk__8)) | (program @ sk__1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl33, zip_derived_cl3])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl121, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ (sk__4 @ sk__1)) | (zip_tseitin_5 @ X1 @ X0 @ sk__1))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl122, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.86 ( (zip_tseitin_5 @ X1 @ X0 @ sk__1)
% 0.47/0.86 | ~ (program @ sk__1)
% 0.47/0.86 | (zip_tseitin_5 @ X3 @ X2 @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl121])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl123, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.86 ( (zip_tseitin_5 @ X1 @ X0 @ sk__1)
% 0.47/0.86 | (zip_tseitin_5 @ X3 @ X2 @ sk__1))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl127, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: (zip_tseitin_5 @ X1 @ X0 @ sk__1)),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl123])).
% 0.47/0.86 thf(zip_derived_cl11, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (halts2 @ X0 @ X1)
% 0.47/0.86 | (zip_tseitin_4 @ X1 @ X0 @ X2)
% 0.47/0.86 | ~ (zip_tseitin_5 @ X1 @ X0 @ X2))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.47/0.86 thf(zip_derived_cl10, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (outputs @ X0 @ bad) | ~ (zip_tseitin_4 @ X1 @ X2 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.86 thf(zip_derived_cl45, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (zip_tseitin_5 @ X2 @ X1 @ X0)
% 0.47/0.86 | (halts2 @ X1 @ X2)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (outputs @ X0 @ bad))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl11, zip_derived_cl10])).
% 0.47/0.86 thf(zip_derived_cl134, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl45])).
% 0.47/0.86 thf(p3, axiom,
% 0.47/0.86 (![W:$i]:
% 0.47/0.86 ( ( ( ![Y:$i,Z:$i]:
% 0.47/0.86 ( ( ( ( halts2 @ Y @ Z ) & ( program @ Y ) ) =>
% 0.47/0.86 ( ( outputs @ W @ good ) & ( halts3 @ W @ Y @ Z ) ) ) &
% 0.47/0.86 ( ( ( ~( halts2 @ Y @ Z ) ) & ( program @ Y ) ) =>
% 0.47/0.86 ( ( outputs @ W @ bad ) & ( halts3 @ W @ Y @ Z ) ) ) ) ) &
% 0.47/0.86 ( program @ W ) ) =>
% 0.47/0.86 ( ?[V:$i]:
% 0.47/0.86 ( ( program @ V ) &
% 0.47/0.86 ( ![Y:$i]:
% 0.47/0.86 ( ( ( ( outputs @ W @ good ) & ( halts3 @ W @ Y @ Y ) &
% 0.47/0.86 ( program @ Y ) ) =>
% 0.47/0.86 ( ~( halts2 @ V @ Y ) ) ) &
% 0.47/0.86 ( ( ( outputs @ W @ bad ) & ( halts3 @ W @ Y @ Y ) &
% 0.47/0.86 ( program @ Y ) ) =>
% 0.47/0.86 ( ( outputs @ V @ bad ) & ( halts2 @ V @ Y ) ) ) ) ) ) ) ))).
% 0.47/0.86 thf(zf_stmt_15, axiom,
% 0.47/0.86 (![Z:$i,Y:$i,W:$i]:
% 0.47/0.86 ( ( ( zip_tseitin_8 @ Z @ Y ) =>
% 0.47/0.86 ( ( halts3 @ W @ Y @ Z ) & ( outputs @ W @ bad ) ) ) =>
% 0.47/0.86 ( zip_tseitin_9 @ Z @ Y @ W ) ))).
% 0.47/0.86 thf(zip_derived_cl21, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X0 @ X1 @ X2) | (zip_tseitin_8 @ X0 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.47/0.86 thf(zf_stmt_16, axiom,
% 0.47/0.86 (![Z:$i,Y:$i]:
% 0.47/0.86 ( ( zip_tseitin_8 @ Z @ Y ) =>
% 0.47/0.86 ( ( program @ Y ) & ( ~( halts2 @ Y @ Z ) ) ) ))).
% 0.47/0.86 thf(zip_derived_cl19, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (halts2 @ X0 @ X1) | ~ (zip_tseitin_8 @ X1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.47/0.86 thf(zip_derived_cl37, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X0 @ X1 @ X2) | ~ (halts2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl21, zip_derived_cl19])).
% 0.47/0.86 thf(zf_stmt_17, axiom,
% 0.47/0.86 (![Z:$i,Y:$i,W:$i]:
% 0.47/0.86 ( ( ( zip_tseitin_6 @ Z @ Y ) =>
% 0.47/0.86 ( ( halts3 @ W @ Y @ Z ) & ( outputs @ W @ good ) ) ) =>
% 0.47/0.86 ( zip_tseitin_7 @ Z @ Y @ W ) ))).
% 0.47/0.86 thf(zip_derived_cl17, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X0 @ X1 @ X2) | (zip_tseitin_6 @ X0 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.47/0.86 thf(zf_stmt_18, axiom,
% 0.47/0.86 (![Z:$i,Y:$i]:
% 0.47/0.86 ( ( zip_tseitin_6 @ Z @ Y ) => ( ( program @ Y ) & ( halts2 @ Y @ Z ) ) ))).
% 0.47/0.86 thf(zip_derived_cl14, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (program @ X0) | ~ (zip_tseitin_6 @ X1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.47/0.86 thf(zip_derived_cl34, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X2 @ X0 @ X1) | (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl17, zip_derived_cl14])).
% 0.47/0.86 thf(zf_stmt_19, type, zip_tseitin_12 : $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_20, axiom,
% 0.47/0.86 (![V:$i,W:$i]:
% 0.47/0.86 ( ( zip_tseitin_12 @ V @ W ) =>
% 0.47/0.86 ( ( ![Y:$i]: ( zip_tseitin_11 @ Y @ V @ W ) ) & ( program @ V ) ) ))).
% 0.47/0.86 thf(zf_stmt_21, type, zip_tseitin_11 : $i > $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_22, axiom,
% 0.47/0.86 (![Y:$i,V:$i,W:$i]:
% 0.47/0.86 ( ( zip_tseitin_11 @ Y @ V @ W ) =>
% 0.47/0.86 ( ( ( ( program @ Y ) & ( halts3 @ W @ Y @ Y ) & ( outputs @ W @ bad ) ) =>
% 0.47/0.86 ( zip_tseitin_10 @ Y @ V ) ) &
% 0.47/0.86 ( ( ( program @ Y ) & ( halts3 @ W @ Y @ Y ) & ( outputs @ W @ good ) ) =>
% 0.47/0.86 ( ~( halts2 @ V @ Y ) ) ) ) ))).
% 0.47/0.86 thf(zf_stmt_23, type, zip_tseitin_10 : $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_24, axiom,
% 0.47/0.86 (![Y:$i,V:$i]:
% 0.47/0.86 ( ( zip_tseitin_10 @ Y @ V ) =>
% 0.47/0.86 ( ( halts2 @ V @ Y ) & ( outputs @ V @ bad ) ) ))).
% 0.47/0.86 thf(zf_stmt_25, type, zip_tseitin_9 : $i > $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_26, type, zip_tseitin_8 : $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_27, type, zip_tseitin_7 : $i > $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_28, type, zip_tseitin_6 : $i > $i > $o).
% 0.47/0.86 thf(zf_stmt_29, axiom,
% 0.47/0.86 (![W:$i]:
% 0.47/0.86 ( ( ( program @ W ) &
% 0.47/0.86 ( ![Y:$i,Z:$i]:
% 0.47/0.86 ( ( zip_tseitin_9 @ Z @ Y @ W ) & ( zip_tseitin_7 @ Z @ Y @ W ) ) ) ) =>
% 0.47/0.86 ( ?[V:$i]: ( zip_tseitin_12 @ V @ W ) ) ))).
% 0.47/0.86 thf(zip_derived_cl28, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (zip_tseitin_12 @ (sk__5 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_7 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_29])).
% 0.47/0.86 thf(zip_derived_cl27, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (program @ X0) | ~ (zip_tseitin_12 @ X0 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.47/0.86 thf(zip_derived_cl41, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_7 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | (program @ (sk__5 @ X0)))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl28, zip_derived_cl27])).
% 0.47/0.86 thf(zip_derived_cl67, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ X0))
% 0.47/0.86 | (program @ (sk__5 @ X0))
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl34, zip_derived_cl41])).
% 0.47/0.86 thf(zip_derived_cl21, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X0 @ X1 @ X2) | (zip_tseitin_8 @ X0 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.47/0.86 thf(zip_derived_cl18, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (program @ X0) | ~ (zip_tseitin_8 @ X1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.47/0.86 thf(zip_derived_cl36, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X2 @ X0 @ X1) | (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl21, zip_derived_cl18])).
% 0.47/0.86 thf(zip_derived_cl126, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (program @ (sk__5 @ X0))
% 0.47/0.86 | (program @ (sk__6 @ X0)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl36])).
% 0.47/0.86 thf(zip_derived_cl134, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl45])).
% 0.47/0.86 thf(zip_derived_cl127, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: (zip_tseitin_5 @ X1 @ X0 @ sk__1)),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl123])).
% 0.47/0.86 thf(zip_derived_cl11, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (halts2 @ X0 @ X1)
% 0.47/0.86 | (zip_tseitin_4 @ X1 @ X0 @ X2)
% 0.47/0.86 | ~ (zip_tseitin_5 @ X1 @ X0 @ X2))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.47/0.86 thf(zip_derived_cl9, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (halts3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_4 @ X2 @ X1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.86 thf(zip_derived_cl44, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.47/0.86 | (halts2 @ X1 @ X0)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts3 @ X2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl11, zip_derived_cl9])).
% 0.47/0.86 thf(zip_derived_cl12, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ X0 @ X1)
% 0.47/0.86 | (zip_tseitin_3 @ X1 @ X0 @ X2)
% 0.47/0.86 | ~ (zip_tseitin_5 @ X1 @ X0 @ X2))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.47/0.86 thf(zip_derived_cl7, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (halts3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_3 @ X2 @ X1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.47/0.86 thf(zip_derived_cl42, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (halts2 @ X1 @ X0)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts3 @ X2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl12, zip_derived_cl7])).
% 0.47/0.86 thf(zip_derived_cl130, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (halts3 @ X2 @ X1 @ X0)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (zip_tseitin_5 @ X0 @ X1 @ X2))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl42])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl20, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (halts3 @ X2 @ X1 @ X0)
% 0.47/0.86 | ~ (outputs @ X2 @ bad))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.47/0.86 thf(zip_derived_cl134, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl45])).
% 0.47/0.86 thf(zip_derived_cl127, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: (zip_tseitin_5 @ X1 @ X0 @ sk__1)),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl123])).
% 0.47/0.86 thf(zip_derived_cl12, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ X0 @ X1)
% 0.47/0.86 | (zip_tseitin_3 @ X1 @ X0 @ X2)
% 0.47/0.86 | ~ (zip_tseitin_5 @ X1 @ X0 @ X2))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.47/0.86 thf(zip_derived_cl8, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (outputs @ X0 @ good) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.47/0.86 thf(zip_derived_cl43, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (zip_tseitin_5 @ X2 @ X1 @ X0)
% 0.47/0.86 | ~ (halts2 @ X1 @ X2)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (outputs @ X0 @ good))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl12, zip_derived_cl8])).
% 0.47/0.86 thf(zip_derived_cl129, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl43])).
% 0.47/0.86 thf(zip_derived_cl135, plain,
% 0.47/0.86 (![X1 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl129])).
% 0.47/0.86 thf(zip_derived_cl138, plain,
% 0.47/0.86 (![X1 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 0.47/0.86 thf(zip_derived_cl17, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X0 @ X1 @ X2) | (zip_tseitin_6 @ X0 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.47/0.86 thf(zip_derived_cl15, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts2 @ X0 @ X1) | ~ (zip_tseitin_6 @ X1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.47/0.86 thf(zip_derived_cl35, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X0 @ X1 @ X2) | (halts2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl17, zip_derived_cl15])).
% 0.47/0.86 thf(zip_derived_cl28, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (zip_tseitin_12 @ (sk__5 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_7 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_29])).
% 0.47/0.86 thf(zip_derived_cl26, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_11 @ X0 @ X1 @ X2) | ~ (zip_tseitin_12 @ X1 @ X2))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.47/0.86 thf(zip_derived_cl40, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_7 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | (zip_tseitin_11 @ X1 @ (sk__5 @ X0) @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl28, zip_derived_cl26])).
% 0.47/0.86 thf(zip_derived_cl24, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ bad)
% 0.47/0.86 | (zip_tseitin_10 @ X0 @ X2)
% 0.47/0.86 | ~ (zip_tseitin_11 @ X0 @ X2 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.47/0.86 thf(zip_derived_cl22, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (halts2 @ X0 @ X1) | ~ (zip_tseitin_10 @ X1 @ X0))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_24])).
% 0.47/0.86 thf(zip_derived_cl46, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (zip_tseitin_11 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (outputs @ X2 @ bad)
% 0.47/0.86 | ~ (halts3 @ X2 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl24, zip_derived_cl22])).
% 0.47/0.86 thf(zip_derived_cl53, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (zip_tseitin_7 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ bad))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl40, zip_derived_cl46])).
% 0.47/0.86 thf(zip_derived_cl73, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (halts2 @ (sk__6 @ X0) @ (sk__7 @ X0))
% 0.47/0.86 | ~ (outputs @ X0 @ bad)
% 0.47/0.86 | ~ (halts3 @ X0 @ X1 @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts2 @ (sk__5 @ X0) @ X1)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl35, zip_derived_cl53])).
% 0.47/0.86 thf(zip_derived_cl199, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X1 @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X1)
% 0.47/0.86 | ~ (program @ sk__1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl73])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl201, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X1 @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl271, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0))),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl201])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl272, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl271, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl273, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl272])).
% 0.47/0.86 thf(zip_derived_cl126, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (program @ (sk__5 @ X0))
% 0.47/0.86 | (program @ (sk__6 @ X0)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl36])).
% 0.47/0.86 thf(zip_derived_cl138, plain,
% 0.47/0.86 (![X1 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 0.47/0.86 thf(zip_derived_cl34, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X2 @ X0 @ X1) | (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl17, zip_derived_cl14])).
% 0.47/0.86 thf(zip_derived_cl53, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (zip_tseitin_7 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ bad))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl40, zip_derived_cl46])).
% 0.47/0.86 thf(zip_derived_cl69, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ X0))
% 0.47/0.86 | ~ (outputs @ X0 @ bad)
% 0.47/0.86 | ~ (halts3 @ X0 @ X1 @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts2 @ (sk__5 @ X0) @ X1)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl34, zip_derived_cl53])).
% 0.47/0.86 thf(zip_derived_cl36, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X2 @ X0 @ X1) | (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl21, zip_derived_cl18])).
% 0.47/0.86 thf(zip_derived_cl174, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__5 @ X0) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts3 @ X0 @ X1 @ X1)
% 0.47/0.86 | ~ (outputs @ X0 @ bad)
% 0.47/0.86 | (program @ (sk__6 @ X0)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl69, zip_derived_cl36])).
% 0.47/0.86 thf(zip_derived_cl175, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ sk__1)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X1 @ X1)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl174])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl176, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X1 @ X1)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl213, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0))),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl176])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl214, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl213, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl129, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl43])).
% 0.47/0.86 thf(zip_derived_cl215, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl129])).
% 0.47/0.86 thf(zip_derived_cl217, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 0.47/0.86 thf(zip_derived_cl227, plain,
% 0.47/0.86 ((~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl217])).
% 0.47/0.86 thf(zip_derived_cl228, plain,
% 0.47/0.86 (( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (program @ sk__1)
% 0.47/0.86 | (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl227])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl229, plain,
% 0.47/0.86 (( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl228, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl230, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good) | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 0.47/0.86 thf(zip_derived_cl138, plain,
% 0.47/0.86 (![X1 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 0.47/0.86 thf(zip_derived_cl233, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl230, zip_derived_cl138])).
% 0.47/0.86 thf(zip_derived_cl234, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ bad) | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl233])).
% 0.47/0.86 thf(zip_derived_cl305, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ good)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl273, zip_derived_cl234])).
% 0.47/0.86 thf(zip_derived_cl307, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl305])).
% 0.47/0.86 thf(zip_derived_cl230, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good) | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 0.47/0.86 thf(zip_derived_cl309, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl307, zip_derived_cl230])).
% 0.47/0.86 thf(zip_derived_cl129, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl43])).
% 0.47/0.86 thf(zip_derived_cl312, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl309, zip_derived_cl129])).
% 0.47/0.86 thf(zip_derived_cl315, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl312])).
% 0.47/0.86 thf(zip_derived_cl230, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good) | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 0.47/0.86 thf(zip_derived_cl316, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl315, zip_derived_cl230])).
% 0.47/0.86 thf(zip_derived_cl129, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl43])).
% 0.47/0.86 thf(zip_derived_cl317, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl316, zip_derived_cl129])).
% 0.47/0.86 thf(zip_derived_cl319, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl317])).
% 0.47/0.86 thf(zip_derived_cl326, plain,
% 0.47/0.86 ((~ (program @ (sk__5 @ sk__1)) | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl319])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl234, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ bad) | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl233])).
% 0.47/0.86 thf(zip_derived_cl20, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (halts3 @ X2 @ X1 @ X0)
% 0.47/0.86 | ~ (outputs @ X2 @ bad))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.47/0.86 thf(zip_derived_cl35, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X0 @ X1 @ X2) | (halts2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl17, zip_derived_cl15])).
% 0.47/0.86 thf(zip_derived_cl41, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_7 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | (program @ (sk__5 @ X0)))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl28, zip_derived_cl27])).
% 0.47/0.86 thf(zip_derived_cl71, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (halts2 @ (sk__6 @ X0) @ (sk__7 @ X0))
% 0.47/0.86 | (program @ (sk__5 @ X0))
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl35, zip_derived_cl41])).
% 0.47/0.86 thf(zip_derived_cl171, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (outputs @ X0 @ bad)
% 0.47/0.86 | ~ (halts3 @ X0 @ (sk__6 @ X0) @ (sk__7 @ X0))
% 0.47/0.86 | (halts2 @ (sk__6 @ X0) @ (sk__7 @ X0))
% 0.47/0.86 | (program @ (sk__5 @ X0))
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl71])).
% 0.47/0.86 thf(zip_derived_cl237, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (program @ (sk__5 @ sk__1))
% 0.47/0.86 | ~ (program @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl171])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl242, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (program @ (sk__5 @ sk__1)))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl255, plain,
% 0.47/0.86 ((~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good)
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (program @ (sk__5 @ sk__1)))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl242])).
% 0.47/0.86 thf(zip_derived_cl230, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good) | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 0.47/0.86 thf(zip_derived_cl260, plain,
% 0.47/0.86 (( (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl230])).
% 0.47/0.86 thf(zip_derived_cl129, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl43])).
% 0.47/0.86 thf(zip_derived_cl261, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good)
% 0.47/0.86 | (program @ (sk__5 @ sk__1))
% 0.47/0.86 | ~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl129])).
% 0.47/0.86 thf(zip_derived_cl263, plain,
% 0.47/0.86 ((~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ good))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl261])).
% 0.47/0.86 thf(zip_derived_cl230, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good) | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 0.47/0.86 thf(zip_derived_cl264, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ good) | (program @ (sk__5 @ sk__1)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl263, zip_derived_cl230])).
% 0.47/0.86 thf(zip_derived_cl327, plain, ( (outputs @ sk__1 @ good)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl326, zip_derived_cl264])).
% 0.47/0.86 thf(zip_derived_cl34, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X2 @ X0 @ X1) | (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl17, zip_derived_cl14])).
% 0.47/0.86 thf(zip_derived_cl40, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_7 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | (zip_tseitin_11 @ X1 @ (sk__5 @ X0) @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl28, zip_derived_cl26])).
% 0.47/0.86 thf(zip_derived_cl25, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ good)
% 0.47/0.86 | ~ (halts2 @ X2 @ X0)
% 0.47/0.86 | ~ (zip_tseitin_11 @ X0 @ X2 @ X1))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.47/0.86 thf(zip_derived_cl52, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (zip_tseitin_7 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ good)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl40, zip_derived_cl25])).
% 0.47/0.86 thf(zip_derived_cl68, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ X1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ good)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl34, zip_derived_cl52])).
% 0.47/0.86 thf(zip_derived_cl36, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X2 @ X0 @ X1) | (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl21, zip_derived_cl18])).
% 0.47/0.86 thf(zip_derived_cl141, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ good)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (program @ (sk__6 @ X1)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl68, zip_derived_cl36])).
% 0.47/0.86 thf(zip_derived_cl331, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ sk__1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl141])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl336, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl331, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl338, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl339, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl338])).
% 0.47/0.86 thf(zip_derived_cl341, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl339])).
% 0.47/0.86 thf(zip_derived_cl342, plain,
% 0.47/0.86 (( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (program @ sk__1)
% 0.47/0.86 | (outputs @ sk__1 @ bad)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl341])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl343, plain,
% 0.47/0.86 (( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ bad)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl342, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl344, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ bad) | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl343])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl327, plain, ( (outputs @ sk__1 @ good)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl326, zip_derived_cl264])).
% 0.47/0.86 thf(zip_derived_cl16, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (halts3 @ X2 @ X1 @ X0)
% 0.47/0.86 | ~ (outputs @ X2 @ good))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.47/0.86 thf(zip_derived_cl41, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_7 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | (program @ (sk__5 @ X0)))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl28, zip_derived_cl27])).
% 0.47/0.86 thf(zip_derived_cl63, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (outputs @ X0 @ good)
% 0.47/0.86 | ~ (halts3 @ X0 @ (sk__6 @ X0) @ (sk__7 @ X0))
% 0.47/0.86 | (program @ (sk__5 @ X0))
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl16, zip_derived_cl41])).
% 0.47/0.86 thf(zip_derived_cl328, plain,
% 0.47/0.86 ((~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (program @ (sk__5 @ sk__1))
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1)
% 0.47/0.86 | ~ (program @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl63])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl333, plain,
% 0.47/0.86 ((~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (program @ (sk__5 @ sk__1))
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl328, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl352, plain,
% 0.47/0.86 ((~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (program @ (sk__5 @ sk__1))
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl333])).
% 0.47/0.86 thf(zip_derived_cl355, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ bad)
% 0.47/0.86 | (program @ (sk__5 @ sk__1))
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl352])).
% 0.47/0.86 thf(zip_derived_cl134, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl45])).
% 0.47/0.86 thf(zip_derived_cl134, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 ( (halts2 @ X0 @ X1) | ~ (program @ X0) | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl45])).
% 0.47/0.86 thf(zip_derived_cl37, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X0 @ X1 @ X2) | ~ (halts2 @ X1 @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl21, zip_derived_cl19])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl327, plain, ( (outputs @ sk__1 @ good)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl326, zip_derived_cl264])).
% 0.47/0.86 thf(zip_derived_cl16, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (halts3 @ X2 @ X1 @ X0)
% 0.47/0.86 | ~ (outputs @ X2 @ good))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.47/0.86 thf(zip_derived_cl52, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (zip_tseitin_7 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ good)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl40, zip_derived_cl25])).
% 0.47/0.86 thf(zip_derived_cl64, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (outputs @ X1 @ good)
% 0.47/0.86 | ~ (halts3 @ X1 @ (sk__6 @ X1) @ (sk__7 @ X1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ good)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl16, zip_derived_cl52])).
% 0.47/0.86 thf(zip_derived_cl148, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ (sk__6 @ X1) @ (sk__7 @ X1))
% 0.47/0.86 | ~ (outputs @ X1 @ good))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl64])).
% 0.47/0.86 thf(zip_derived_cl332, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1)
% 0.47/0.86 | ~ (program @ sk__1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1)))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl148])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl337, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1)))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl332, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl347, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl337, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl349, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl347])).
% 0.47/0.86 thf(zip_derived_cl338, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl356, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl349, zip_derived_cl338])).
% 0.47/0.86 thf(zip_derived_cl358, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl356])).
% 0.47/0.86 thf(zip_derived_cl360, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl358])).
% 0.47/0.86 thf(zip_derived_cl338, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl365, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl360, zip_derived_cl338])).
% 0.47/0.86 thf(zip_derived_cl366, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl365])).
% 0.47/0.86 thf(zip_derived_cl368, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (program @ (sk__5 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl366])).
% 0.47/0.86 thf(zip_derived_cl372, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ bad) | ~ (program @ (sk__5 @ sk__1)))),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl368])).
% 0.47/0.86 thf(zip_derived_cl375, plain,
% 0.47/0.86 ((~ (zip_tseitin_9 @ (sk__7 @ sk__1) @ (sk__6 @ sk__1) @ sk__1)
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl372])).
% 0.47/0.86 thf(zip_derived_cl377, plain,
% 0.47/0.86 ((~ (halts2 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl375])).
% 0.47/0.86 thf(zip_derived_cl385, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (program @ (sk__6 @ sk__1))
% 0.47/0.86 | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl377])).
% 0.47/0.86 thf(zip_derived_cl387, plain,
% 0.47/0.86 ((~ (program @ (sk__6 @ sk__1)) | (outputs @ sk__1 @ bad))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl385])).
% 0.47/0.86 thf(zip_derived_cl344, plain,
% 0.47/0.86 (( (outputs @ sk__1 @ bad) | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl343])).
% 0.47/0.86 thf(zip_derived_cl388, plain, ( (outputs @ sk__1 @ bad)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl387, zip_derived_cl344])).
% 0.47/0.86 thf(zip_derived_cl174, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | (halts2 @ (sk__5 @ X0) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts3 @ X0 @ X1 @ X1)
% 0.47/0.86 | ~ (outputs @ X0 @ bad)
% 0.47/0.86 | (program @ (sk__6 @ X0)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl69, zip_derived_cl36])).
% 0.47/0.86 thf(zip_derived_cl393, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ sk__1)
% 0.47/0.86 | (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl388, zip_derived_cl174])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl398, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | (program @ (sk__6 @ sk__1)))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl327, plain, ( (outputs @ sk__1 @ good)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl326, zip_derived_cl264])).
% 0.47/0.86 thf(zip_derived_cl16, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_7 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (halts3 @ X2 @ X1 @ X0)
% 0.47/0.86 | ~ (outputs @ X2 @ good))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.47/0.86 thf(zip_derived_cl53, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (zip_tseitin_7 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (outputs @ X1 @ bad))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl40, zip_derived_cl46])).
% 0.47/0.86 thf(zip_derived_cl65, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (outputs @ X0 @ good)
% 0.47/0.86 | ~ (halts3 @ X0 @ (sk__6 @ X0) @ (sk__7 @ X0))
% 0.47/0.86 | ~ (outputs @ X0 @ bad)
% 0.47/0.86 | ~ (halts3 @ X0 @ X1 @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | (halts2 @ (sk__5 @ X0) @ X1)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0))),
% 0.47/0.86 inference('dp-resolution', [status(thm)],
% 0.47/0.86 [zip_derived_cl16, zip_derived_cl53])).
% 0.47/0.86 thf(zip_derived_cl148, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (zip_tseitin_9 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ X1) @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ X1 @ (sk__6 @ X1) @ (sk__7 @ X1))
% 0.47/0.86 | ~ (outputs @ X1 @ good))),
% 0.47/0.86 inference('simplify', [status(thm)], [zip_derived_cl64])).
% 0.47/0.86 thf(zip_derived_cl155, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (zip_tseitin_9 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (halts3 @ X0 @ X1 @ X1)
% 0.47/0.86 | ~ (outputs @ X0 @ bad)
% 0.47/0.86 | ~ (halts3 @ X0 @ (sk__6 @ X0) @ (sk__7 @ X0))
% 0.47/0.86 | ~ (outputs @ X0 @ good))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl148])).
% 0.47/0.86 thf(zip_derived_cl20, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.86 ( (zip_tseitin_9 @ X0 @ X1 @ X2)
% 0.47/0.86 | ~ (halts3 @ X2 @ X1 @ X0)
% 0.47/0.86 | ~ (outputs @ X2 @ bad))),
% 0.47/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.47/0.86 thf(zip_derived_cl156, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]:
% 0.47/0.86 (~ (outputs @ X0 @ good)
% 0.47/0.86 | ~ (halts3 @ X0 @ (sk__6 @ X0) @ (sk__7 @ X0))
% 0.47/0.86 | ~ (outputs @ X0 @ bad)
% 0.47/0.86 | ~ (halts3 @ X0 @ X1 @ X1)
% 0.47/0.86 | ~ (program @ X1)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl155, zip_derived_cl20])).
% 0.47/0.86 thf(zip_derived_cl329, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (program @ sk__1))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl327, zip_derived_cl156])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl334, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1))
% 0.47/0.86 | ~ (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0)
% 0.47/0.86 | ~ (program @ X0))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl329, zip_derived_cl112])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl346, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (outputs @ sk__1 @ bad)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1)))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl334, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl388, plain, ( (outputs @ sk__1 @ bad)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl387, zip_derived_cl344])).
% 0.47/0.86 thf(zip_derived_cl389, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 (~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ (sk__6 @ sk__1) @ (sk__7 @ sk__1)))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl346, zip_derived_cl388])).
% 0.47/0.86 thf(zip_derived_cl403, plain,
% 0.47/0.86 (![X0 : $i]: (~ (program @ (sk__6 @ sk__1)) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl132, zip_derived_cl389])).
% 0.47/0.86 thf(zip_derived_cl405, plain, (~ (program @ (sk__6 @ sk__1))),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl403])).
% 0.47/0.86 thf(zip_derived_cl412, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (halts2 @ (sk__5 @ sk__1) @ X0)
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts3 @ sk__1 @ X0 @ X0))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl398, zip_derived_cl405])).
% 0.47/0.86 thf(zip_derived_cl338, plain,
% 0.47/0.86 (![X0 : $i]:
% 0.47/0.86 ( (program @ (sk__6 @ sk__1))
% 0.47/0.86 | ~ (program @ X0)
% 0.47/0.86 | ~ (halts2 @ (sk__5 @ sk__1) @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl405, plain, (~ (program @ (sk__6 @ sk__1))),
% 0.47/0.86 inference('condensation', [status(thm)], [zip_derived_cl403])).
% 0.47/0.86 thf(zip_derived_cl406, plain,
% 0.47/0.86 (![X0 : $i]: (~ (program @ X0) | ~ (halts2 @ (sk__5 @ sk__1) @ X0))),
% 0.47/0.86 inference('demod', [status(thm)], [zip_derived_cl338, zip_derived_cl405])).
% 0.47/0.86 thf(zip_derived_cl413, plain,
% 0.47/0.86 (![X0 : $i]: (~ (halts3 @ sk__1 @ X0 @ X0) | ~ (program @ X0))),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl412, zip_derived_cl406])).
% 0.47/0.86 thf(zip_derived_cl132, plain,
% 0.47/0.86 (![X0 : $i, X1 : $i]: ( (halts3 @ sk__1 @ X0 @ X1) | ~ (program @ X0))),
% 0.47/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl130])).
% 0.47/0.86 thf(zip_derived_cl414, plain, (![X0 : $i]: ~ (program @ X0)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl413, zip_derived_cl132])).
% 0.47/0.86 thf(zip_derived_cl112, plain, ( (program @ sk__1)),
% 0.47/0.86 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl51])).
% 0.47/0.86 thf(zip_derived_cl417, plain, ($false),
% 0.47/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl414, zip_derived_cl112])).
% 0.47/0.86
% 0.47/0.86 % SZS output end Refutation
% 0.47/0.86
% 0.47/0.86
% 0.47/0.86 % Terminating...
% 1.53/0.98 % Runner terminated.
% 1.53/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------