%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN087+1 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xgvRYr6wUu true
% Computer : n023.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 04:48:59 PM UTC 2025
% Result : Theorem 85.20s 12.80s
% Output : Refutation 85.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : NUN087+1 : TPTP v9.2.0. Released v7.3.0.
% 0.02/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xgvRYr6wUu true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:09:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.47/0.61 % Total configuration time : 435
% 0.47/0.61 % Estimated wc time : 1092
% 0.47/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 85.20/12.80 % Solved by fo/fo6_bce.sh.
% 85.20/12.80 % BCE start: 68
% 85.20/12.80 % BCE eliminated: 0
% 85.20/12.80 % PE start: 68
% 85.20/12.80 logic: neq
% 85.20/12.80 % PE eliminated: 25
% 85.20/12.80 % done 4653 iterations in 12.084s
% 85.20/12.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 85.20/12.80 % SZS output start Refutation
% 85.20/12.80 thf(sk__13_type, type, sk__13: $i > $i).
% 85.20/12.80 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 85.20/12.80 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 85.20/12.80 thf(sk__15_type, type, sk__15: $i > $i).
% 85.20/12.80 thf(sk__16_type, type, sk__16: $i > $i).
% 85.20/12.80 thf(sk__3_type, type, sk__3: $i > $i > $i).
% 85.20/12.80 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 85.20/12.80 thf(r4_type, type, r4: $i > $i > $i > $o).
% 85.20/12.80 thf(r3_type, type, r3: $i > $i > $i > $o).
% 85.20/12.80 thf(sk__14_type, type, sk__14: $i > $i).
% 85.20/12.80 thf(sk__type, type, sk_: $i).
% 85.20/12.80 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $o).
% 85.20/12.80 thf(id_type, type, id: $i > $i > $o).
% 85.20/12.80 thf(zip_tseitin_14_type, type, zip_tseitin_14: $i > $i > $i > $i > $i > $i > $o).
% 85.20/12.80 thf(r1_type, type, r1: $i > $o).
% 85.20/12.80 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 85.20/12.80 thf(sk__12_type, type, sk__12: $i > $i).
% 85.20/12.80 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $o).
% 85.20/12.80 thf(zip_tseitin_15_type, type, zip_tseitin_15: $i > $i > $i > $i > $i > $i > $o).
% 85.20/12.80 thf(axiom_5, axiom, (![X20:$i]: ( id @ X20 @ X20 ))).
% 85.20/12.80 thf(zip_derived_cl20, plain, (![X0 : $i]: (id @ X0 @ X0)),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_5])).
% 85.20/12.80 thf(axiom_1, axiom,
% 85.20/12.80 (?[Y24:$i]:
% 85.20/12.80 ( ![X19:$i]:
% 85.20/12.80 ( ( ( id @ X19 @ Y24 ) & ( r1 @ X19 ) ) |
% 85.20/12.80 ( ( ~( r1 @ X19 ) ) & ( ~( id @ X19 @ Y24 ) ) ) ) ))).
% 85.20/12.80 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $i > $o).
% 85.20/12.80 thf(zf_stmt_1, axiom,
% 85.20/12.80 (![X19:$i,Y24:$i]:
% 85.20/12.80 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 85.20/12.80 ( ( ~( id @ X19 @ Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 85.20/12.80 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $o).
% 85.20/12.80 thf(zf_stmt_3, axiom,
% 85.20/12.80 (![X19:$i,Y24:$i]:
% 85.20/12.80 ( ( zip_tseitin_0 @ X19 @ Y24 ) => ( ( r1 @ X19 ) & ( id @ X19 @ Y24 ) ) ))).
% 85.20/12.80 thf(zf_stmt_4, axiom,
% 85.20/12.80 (?[Y24:$i]:
% 85.20/12.80 ( ![X19:$i]:
% 85.20/12.80 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 85.20/12.80 thf(zip_derived_cl4, plain,
% 85.20/12.80 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_4])).
% 85.20/12.80 thf(zip_derived_cl1, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 85.20/12.80 thf(zip_derived_cl69, plain,
% 85.20/12.80 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (id @ X0 @ sk_))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl4, zip_derived_cl1])).
% 85.20/12.80 thf(zip_derived_cl3, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_1 @ X0 @ X1))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.20/12.80 thf(zip_derived_cl89, plain, (![X0 : $i]: ( (id @ X0 @ sk_) | ~ (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl69, zip_derived_cl3])).
% 85.20/12.80 thf(axiom_5a, axiom,
% 85.20/12.80 (![X5:$i]:
% 85.20/12.80 ( ?[Y8:$i]:
% 85.20/12.80 ( ( ?[Y18:$i]: ( ( r1 @ Y18 ) & ( id @ Y8 @ Y18 ) ) ) &
% 85.20/12.80 ( ?[Y17:$i]: ( ( r4 @ X5 @ Y17 @ Y8 ) & ( r1 @ Y17 ) ) ) ) ))).
% 85.20/12.80 thf(zip_derived_cl58, plain, (![X0 : $i]: (r1 @ (sk__16 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_5a])).
% 85.20/12.80 thf(zip_derived_cl127, plain, (![X0 : $i]: (id @ (sk__16 @ X0) @ sk_)),
% 85.20/12.80 inference('s_sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl58])).
% 85.20/12.80 thf(axiom_6, axiom,
% 85.20/12.80 (![X21:$i,X22:$i]: ( ( id @ X22 @ X21 ) | ( ~( id @ X21 @ X22 ) ) ))).
% 85.20/12.80 thf(zip_derived_cl21, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_6])).
% 85.20/12.80 thf(zip_derived_cl171, plain, (![X0 : $i]: (id @ sk_ @ (sk__16 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl21])).
% 85.20/12.80 thf(axiom_4a, axiom,
% 85.20/12.80 (![X4:$i]:
% 85.20/12.80 ( ?[Y9:$i]:
% 85.20/12.80 ( ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) &
% 85.20/12.80 ( id @ Y9 @ X4 ) ) ))).
% 85.20/12.80 thf(zip_derived_cl54, plain, (![X0 : $i]: (id @ (sk__12 @ X0) @ X0)),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_4a])).
% 85.20/12.80 thf(axiom_8, axiom,
% 85.20/12.80 (![X26:$i,X27:$i]:
% 85.20/12.80 ( ( ~( id @ X26 @ X27 ) ) | ( ( ~( r1 @ X26 ) ) & ( ~( r1 @ X27 ) ) ) |
% 85.20/12.80 ( ( r1 @ X26 ) & ( r1 @ X27 ) ) ))).
% 85.20/12.80 thf(zf_stmt_5, type, zip_tseitin_9 : $i > $i > $o).
% 85.20/12.80 thf(zf_stmt_6, axiom,
% 85.20/12.80 (![X27:$i,X26:$i]:
% 85.20/12.80 ( ( zip_tseitin_9 @ X27 @ X26 ) => ( ( r1 @ X27 ) & ( r1 @ X26 ) ) ))).
% 85.20/12.80 thf(zf_stmt_7, type, zip_tseitin_8 : $i > $i > $o).
% 85.20/12.80 thf(zf_stmt_8, axiom,
% 85.20/12.80 (![X27:$i,X26:$i]:
% 85.20/12.80 ( ( zip_tseitin_8 @ X27 @ X26 ) =>
% 85.20/12.80 ( ( ~( r1 @ X27 ) ) & ( ~( r1 @ X26 ) ) ) ))).
% 85.20/12.80 thf(zf_stmt_9, axiom,
% 85.20/12.80 (![X26:$i,X27:$i]:
% 85.20/12.80 ( ( zip_tseitin_9 @ X27 @ X26 ) | ( zip_tseitin_8 @ X27 @ X26 ) |
% 85.20/12.80 ( ~( id @ X26 @ X27 ) ) ))).
% 85.20/12.80 thf(zip_derived_cl27, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 ( (zip_tseitin_9 @ X0 @ X1)
% 85.20/12.80 | (zip_tseitin_8 @ X0 @ X1)
% 85.20/12.80 | ~ (id @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_9])).
% 85.20/12.80 thf(zip_derived_cl23, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_8 @ X0 @ X1))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_8])).
% 85.20/12.80 thf(zip_derived_cl78, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 (~ (id @ X1 @ X0) | (zip_tseitin_9 @ X0 @ X1) | ~ (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl27, zip_derived_cl23])).
% 85.20/12.80 thf(zip_derived_cl26, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_9 @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_6])).
% 85.20/12.80 thf(zip_derived_cl107, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X0 @ X1) | (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl78, zip_derived_cl26])).
% 85.20/12.80 thf(zip_derived_cl145, plain,
% 85.20/12.80 (![X0 : $i]: (~ (r1 @ X0) | (r1 @ (sk__12 @ X0)))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl107])).
% 85.20/12.80 thf(zip_derived_cl89, plain, (![X0 : $i]: ( (id @ X0 @ sk_) | ~ (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl69, zip_derived_cl3])).
% 85.20/12.80 thf(zip_derived_cl166, plain,
% 85.20/12.80 (![X0 : $i]: (~ (r1 @ X0) | (id @ (sk__12 @ X0) @ sk_))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl89])).
% 85.20/12.80 thf(axiom_7, axiom,
% 85.20/12.80 (![X23:$i,X24:$i,X25:$i]:
% 85.20/12.80 ( ( ~( id @ X24 @ X25 ) ) | ( id @ X23 @ X25 ) | ( ~( id @ X23 @ X24 ) ) ))).
% 85.20/12.80 thf(zip_derived_cl22, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_7])).
% 85.20/12.80 thf(zip_derived_cl5374, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 (~ (r1 @ X0) | (id @ (sk__12 @ X0) @ X1) | ~ (id @ sk_ @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl54, plain, (![X0 : $i]: (id @ (sk__12 @ X0) @ X0)),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_4a])).
% 85.20/12.80 thf(zip_derived_cl21, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_6])).
% 85.20/12.80 thf(zip_derived_cl146, plain, (![X0 : $i]: (id @ X0 @ (sk__12 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl21])).
% 85.20/12.80 thf(zip_derived_cl22, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_7])).
% 85.20/12.80 thf(zip_derived_cl215, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ (sk__12 @ X0) @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl6516, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (id @ sk_ @ X0) | ~ (r1 @ X1) | (id @ X1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl5374, zip_derived_cl215])).
% 85.20/12.80 thf(zip_derived_cl7015, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | (id @ X1 @ (sk__16 @ X0)))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl171, zip_derived_cl6516])).
% 85.20/12.80 thf(zip_derived_cl57, plain,
% 85.20/12.80 (![X0 : $i]: (r4 @ X0 @ (sk__16 @ X0) @ (sk__14 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_5a])).
% 85.20/12.80 thf(axiom_4, axiom,
% 85.20/12.80 (![X16:$i,X17:$i]:
% 85.20/12.80 ( ?[Y23:$i]:
% 85.20/12.80 ( ![X18:$i]:
% 85.20/12.80 ( ( ( id @ X18 @ Y23 ) & ( r4 @ X16 @ X17 @ X18 ) ) |
% 85.20/12.80 ( ( ~( r4 @ X16 @ X17 @ X18 ) ) & ( ~( id @ X18 @ Y23 ) ) ) ) ) ))).
% 85.20/12.80 thf(zf_stmt_10, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 85.20/12.80 thf(zf_stmt_11, axiom,
% 85.20/12.80 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 85.20/12.80 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) =>
% 85.20/12.80 ( ( ~( id @ X18 @ Y23 ) ) & ( ~( r4 @ X16 @ X17 @ X18 ) ) ) ))).
% 85.20/12.80 thf(zf_stmt_12, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 85.20/12.80 thf(zf_stmt_13, axiom,
% 85.20/12.80 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 85.20/12.80 ( ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) =>
% 85.20/12.80 ( ( r4 @ X16 @ X17 @ X18 ) & ( id @ X18 @ Y23 ) ) ))).
% 85.20/12.80 thf(zf_stmt_14, axiom,
% 85.20/12.80 (![X16:$i,X17:$i]:
% 85.20/12.80 ( ?[Y23:$i]:
% 85.20/12.80 ( ![X18:$i]:
% 85.20/12.80 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) |
% 85.20/12.80 ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) ) ) ))).
% 85.20/12.80 thf(zip_derived_cl19, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (zip_tseitin_7 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2)
% 85.20/12.80 | (zip_tseitin_6 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_14])).
% 85.20/12.80 thf(zip_derived_cl16, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.20/12.80 ( (id @ X0 @ X1) | ~ (zip_tseitin_6 @ X0 @ X1 @ X2 @ X3))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_13])).
% 85.20/12.80 thf(zip_derived_cl77, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (zip_tseitin_7 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 85.20/12.80 | (id @ X2 @ (sk__3 @ X1 @ X0)))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl19, zip_derived_cl16])).
% 85.20/12.80 thf(zip_derived_cl18, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.20/12.80 (~ (r4 @ X0 @ X1 @ X2) | ~ (zip_tseitin_7 @ X2 @ X3 @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_11])).
% 85.20/12.80 thf(zip_derived_cl105, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (id @ X0 @ (sk__3 @ X1 @ X2)) | ~ (r4 @ X2 @ X1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl77, zip_derived_cl18])).
% 85.20/12.80 thf(zip_derived_cl27, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 ( (zip_tseitin_9 @ X0 @ X1)
% 85.20/12.80 | (zip_tseitin_8 @ X0 @ X1)
% 85.20/12.80 | ~ (id @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_9])).
% 85.20/12.80 thf(zip_derived_cl24, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_8 @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_8])).
% 85.20/12.80 thf(zip_derived_cl79, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | (zip_tseitin_9 @ X1 @ X0) | ~ (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl27, zip_derived_cl24])).
% 85.20/12.80 thf(zip_derived_cl25, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_9 @ X0 @ X1))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_6])).
% 85.20/12.80 thf(zip_derived_cl108, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X1 @ X0) | (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl79, zip_derived_cl25])).
% 85.20/12.80 thf(zip_derived_cl358, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (r4 @ X0 @ X1 @ X2) | ~ (r1 @ X2) | (r1 @ (sk__3 @ X1 @ X0)))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl108])).
% 85.20/12.80 thf(zip_derived_cl429, plain,
% 85.20/12.80 (![X0 : $i]:
% 85.20/12.80 (~ (r1 @ (sk__14 @ X0)) | (r1 @ (sk__3 @ (sk__16 @ X0) @ X0)))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl358])).
% 85.20/12.80 thf(zip_derived_cl60, plain,
% 85.20/12.80 (![X0 : $i]: (id @ (sk__14 @ X0) @ (sk__15 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_5a])).
% 85.20/12.80 thf(zip_derived_cl107, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X0 @ X1) | (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl78, zip_derived_cl26])).
% 85.20/12.80 thf(zip_derived_cl199, plain,
% 85.20/12.80 (![X0 : $i]: (~ (r1 @ (sk__15 @ X0)) | (r1 @ (sk__14 @ X0)))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl107])).
% 85.20/12.80 thf(zip_derived_cl59, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_5a])).
% 85.20/12.80 thf(zip_derived_cl202, plain, (![X0 : $i]: (r1 @ (sk__14 @ X0))),
% 85.20/12.80 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl59])).
% 85.20/12.80 thf(zip_derived_cl430, plain,
% 85.20/12.80 (![X0 : $i]: (r1 @ (sk__3 @ (sk__16 @ X0) @ X0))),
% 85.20/12.80 inference('demod', [status(thm)], [zip_derived_cl429, zip_derived_cl202])).
% 85.20/12.80 thf(zip_derived_cl89, plain, (![X0 : $i]: ( (id @ X0 @ sk_) | ~ (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl69, zip_derived_cl3])).
% 85.20/12.80 thf(zip_derived_cl56, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_4a])).
% 85.20/12.80 thf(zip_derived_cl125, plain, (![X0 : $i]: (id @ (sk__13 @ X0) @ sk_)),
% 85.20/12.80 inference('s_sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl56])).
% 85.20/12.80 thf(zip_derived_cl21, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_6])).
% 85.20/12.80 thf(zip_derived_cl135, plain, (![X0 : $i]: (id @ sk_ @ (sk__13 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl21])).
% 85.20/12.80 thf(zip_derived_cl5374, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 (~ (r1 @ X0) | (id @ (sk__12 @ X0) @ X1) | ~ (id @ sk_ @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl166, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl54, plain, (![X0 : $i]: (id @ (sk__12 @ X0) @ X0)),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_4a])).
% 85.20/12.80 thf(zip_derived_cl54, plain, (![X0 : $i]: (id @ (sk__12 @ X0) @ X0)),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_4a])).
% 85.20/12.80 thf(zip_derived_cl22, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_7])).
% 85.20/12.80 thf(zip_derived_cl144, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ (sk__12 @ X0) @ X1) | ~ (id @ X0 @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl144, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ (sk__12 @ X0) @ X1) | ~ (id @ X0 @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl21, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ X0 @ X1) | ~ (id @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_6])).
% 85.20/12.80 thf(zip_derived_cl273, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (id @ X1 @ X0) | (id @ X0 @ (sk__12 @ X1)))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl21])).
% 85.20/12.80 thf(zip_derived_cl22, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_7])).
% 85.20/12.80 thf(zip_derived_cl548, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | (id @ X1 @ X2) | ~ (id @ (sk__12 @ X0) @ X2))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl273, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl585, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (id @ X1 @ X0) | ~ (id @ X1 @ X2) | (id @ X2 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl548])).
% 85.20/12.80 thf(zip_derived_cl617, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (id @ (sk__12 @ X0) @ X1) | (id @ X1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl585])).
% 85.20/12.80 thf(zip_derived_cl6517, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (id @ sk_ @ X0) | ~ (r1 @ X1) | (id @ X0 @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl5374, zip_derived_cl617])).
% 85.20/12.80 thf(zip_derived_cl7051, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | (id @ (sk__13 @ X0) @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl135, zip_derived_cl6517])).
% 85.20/12.80 thf(zip_derived_cl135, plain, (![X0 : $i]: (id @ sk_ @ (sk__13 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl21])).
% 85.20/12.80 thf(zip_derived_cl6516, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (id @ sk_ @ X0) | ~ (r1 @ X1) | (id @ X1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl5374, zip_derived_cl215])).
% 85.20/12.80 thf(zip_derived_cl7012, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | (id @ X1 @ (sk__13 @ X0)))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl135, zip_derived_cl6516])).
% 85.20/12.80 thf(zip_derived_cl22, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | (id @ X0 @ X2) | ~ (id @ X1 @ X2))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_7])).
% 85.20/12.80 thf(zip_derived_cl8907, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (r1 @ X1) | (id @ X1 @ X2) | ~ (id @ (sk__13 @ X0) @ X2))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl7012, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl10616, plain,
% 85.20/12.80 (![X0 : $i, X2 : $i]: (~ (r1 @ X0) | ~ (r1 @ X2) | (id @ X2 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl7051, zip_derived_cl8907])).
% 85.20/12.80 thf(zip_derived_cl19, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (zip_tseitin_7 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2)
% 85.20/12.80 | (zip_tseitin_6 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_14])).
% 85.20/12.80 thf(zip_derived_cl15, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.20/12.80 ( (r4 @ X0 @ X1 @ X2) | ~ (zip_tseitin_6 @ X2 @ X3 @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_13])).
% 85.20/12.80 thf(zip_derived_cl76, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (zip_tseitin_7 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2)
% 85.20/12.80 | (r4 @ X2 @ X1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl19, zip_derived_cl15])).
% 85.20/12.80 thf(zip_derived_cl17, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | ~ (zip_tseitin_7 @ X0 @ X1 @ X2 @ X3))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_11])).
% 85.20/12.80 thf(zip_derived_cl102, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (r4 @ X0 @ X1 @ X2) | ~ (id @ X2 @ (sk__3 @ X1 @ X0)))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl76, zip_derived_cl17])).
% 85.20/12.80 thf(zip_derived_cl10815, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (r1 @ X2) | ~ (r1 @ (sk__3 @ X1 @ X0)) | (r4 @ X0 @ X1 @ X2))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl10616, zip_derived_cl102])).
% 85.20/12.80 thf(zip_derived_cl40293, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | (r4 @ X0 @ (sk__16 @ X0) @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl430, zip_derived_cl10815])).
% 85.20/12.80 thf(axiom_11, axiom,
% 85.20/12.80 (![X38:$i,X39:$i,X40:$i,X41:$i,X42:$i,X43:$i]:
% 85.20/12.80 ( ( ~( id @ X38 @ X41 ) ) | ( ~( id @ X39 @ X42 ) ) |
% 85.20/12.80 ( ~( id @ X40 @ X43 ) ) |
% 85.20/12.80 ( ( ~( r4 @ X38 @ X39 @ X40 ) ) & ( ~( r4 @ X41 @ X42 @ X43 ) ) ) |
% 85.20/12.80 ( ( r4 @ X38 @ X39 @ X40 ) & ( r4 @ X41 @ X42 @ X43 ) ) ))).
% 85.20/12.80 thf(zf_stmt_15, type, zip_tseitin_15 : $i > $i > $i > $i > $i > $i > $o).
% 85.20/12.80 thf(zf_stmt_16, axiom,
% 85.20/12.80 (![X43:$i,X42:$i,X41:$i,X40:$i,X39:$i,X38:$i]:
% 85.20/12.80 ( ( zip_tseitin_15 @ X43 @ X42 @ X41 @ X40 @ X39 @ X38 ) =>
% 85.20/12.80 ( ( r4 @ X41 @ X42 @ X43 ) & ( r4 @ X38 @ X39 @ X40 ) ) ))).
% 85.20/12.80 thf(zf_stmt_17, type, zip_tseitin_14 : $i > $i > $i > $i > $i > $i > $o).
% 85.20/12.80 thf(zf_stmt_18, axiom,
% 85.20/12.80 (![X43:$i,X42:$i,X41:$i,X40:$i,X39:$i,X38:$i]:
% 85.20/12.80 ( ( zip_tseitin_14 @ X43 @ X42 @ X41 @ X40 @ X39 @ X38 ) =>
% 85.20/12.80 ( ( ~( r4 @ X41 @ X42 @ X43 ) ) & ( ~( r4 @ X38 @ X39 @ X40 ) ) ) ))).
% 85.20/12.80 thf(zf_stmt_19, axiom,
% 85.20/12.80 (![X38:$i,X39:$i,X40:$i,X41:$i,X42:$i,X43:$i]:
% 85.20/12.80 ( ( zip_tseitin_15 @ X43 @ X42 @ X41 @ X40 @ X39 @ X38 ) |
% 85.20/12.80 ( zip_tseitin_14 @ X43 @ X42 @ X41 @ X40 @ X39 @ X38 ) |
% 85.20/12.80 ( ~( id @ X40 @ X43 ) ) | ( ~( id @ X39 @ X42 ) ) |
% 85.20/12.80 ( ~( id @ X38 @ X41 ) ) ))).
% 85.20/12.80 thf(zip_derived_cl42, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1)
% 85.20/12.80 | ~ (id @ X2 @ X3)
% 85.20/12.80 | ~ (id @ X4 @ X5)
% 85.20/12.80 | (zip_tseitin_14 @ X5 @ X1 @ X3 @ X4 @ X0 @ X2)
% 85.20/12.80 | (zip_tseitin_15 @ X5 @ X1 @ X3 @ X4 @ X0 @ X2))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_19])).
% 85.20/12.80 thf(zip_derived_cl38, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.20/12.80 (~ (r4 @ X0 @ X1 @ X2)
% 85.20/12.80 | ~ (zip_tseitin_14 @ X2 @ X1 @ X0 @ X3 @ X4 @ X5))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_18])).
% 85.20/12.80 thf(zip_derived_cl84, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.20/12.80 ( (zip_tseitin_15 @ X0 @ X1 @ X2 @ X5 @ X4 @ X3)
% 85.20/12.80 | ~ (id @ X5 @ X0)
% 85.20/12.80 | ~ (id @ X3 @ X2)
% 85.20/12.80 | ~ (id @ X4 @ X1)
% 85.20/12.80 | ~ (r4 @ X2 @ X1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl42, zip_derived_cl38])).
% 85.20/12.80 thf(zip_derived_cl41, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.20/12.80 ( (r4 @ X0 @ X1 @ X2)
% 85.20/12.80 | ~ (zip_tseitin_15 @ X3 @ X4 @ X5 @ X2 @ X1 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_16])).
% 85.20/12.80 thf(zip_derived_cl119, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.20/12.80 (~ (r4 @ X5 @ X4 @ X3)
% 85.20/12.80 | ~ (id @ X1 @ X4)
% 85.20/12.80 | ~ (id @ X2 @ X5)
% 85.20/12.80 | ~ (id @ X0 @ X3)
% 85.20/12.80 | (r4 @ X2 @ X1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl84, zip_derived_cl41])).
% 85.20/12.80 thf(zip_derived_cl40304, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.20/12.80 (~ (r1 @ X0)
% 85.20/12.80 | ~ (id @ X2 @ (sk__16 @ X1))
% 85.20/12.80 | ~ (id @ X3 @ X1)
% 85.20/12.80 | ~ (id @ X4 @ X0)
% 85.20/12.80 | (r4 @ X3 @ X2 @ X4))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl40293, zip_derived_cl119])).
% 85.20/12.80 thf(zip_derived_cl40383, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.20/12.80 (~ (r1 @ X1)
% 85.20/12.80 | ~ (r1 @ X2)
% 85.20/12.80 | ~ (id @ X3 @ X0)
% 85.20/12.80 | ~ (id @ X4 @ X2)
% 85.20/12.80 | (r4 @ X3 @ X1 @ X4))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl7015, zip_derived_cl40304])).
% 85.20/12.80 thf(zip_derived_cl40641, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (r4 @ X1 @ X2 @ X1) | ~ (id @ X1 @ X0) | ~ (r1 @ X0) | ~ (r1 @ X2))),
% 85.20/12.80 inference('eq_fact', [status(thm)], [zip_derived_cl40383])).
% 85.20/12.80 thf(zip_derived_cl40642, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (r4 @ X0 @ X1 @ X0) | ~ (r1 @ X0) | ~ (r1 @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl20, zip_derived_cl40641])).
% 85.20/12.80 thf(zip_derived_cl105, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (id @ X0 @ (sk__3 @ X1 @ X2)) | ~ (r4 @ X2 @ X1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl77, zip_derived_cl18])).
% 85.20/12.80 thf(zip_derived_cl135, plain, (![X0 : $i]: (id @ sk_ @ (sk__13 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl21])).
% 85.20/12.80 thf(zip_derived_cl144, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ (sk__12 @ X0) @ X1) | ~ (id @ X0 @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl107, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X0 @ X1) | (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl78, zip_derived_cl26])).
% 85.20/12.80 thf(zip_derived_cl272, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 (~ (id @ X1 @ X0) | ~ (r1 @ X0) | (r1 @ (sk__12 @ X1)))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl107])).
% 85.20/12.80 thf(zip_derived_cl298, plain,
% 85.20/12.80 (![X0 : $i]: (~ (r1 @ (sk__13 @ X0)) | (r1 @ (sk__12 @ sk_)))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl272])).
% 85.20/12.80 thf(zip_derived_cl56, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_4a])).
% 85.20/12.80 thf(zip_derived_cl311, plain, ( (r1 @ (sk__12 @ sk_))),
% 85.20/12.80 inference('demod', [status(thm)], [zip_derived_cl298, zip_derived_cl56])).
% 85.20/12.80 thf(zip_derived_cl144, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: ( (id @ (sk__12 @ X0) @ X1) | ~ (id @ X0 @ X1))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl22])).
% 85.20/12.80 thf(zip_derived_cl108, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X1 @ X0) | (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl79, zip_derived_cl25])).
% 85.20/12.80 thf(zip_derived_cl274, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 (~ (id @ X1 @ X0) | ~ (r1 @ (sk__12 @ X1)) | (r1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl108])).
% 85.20/12.80 thf(zip_derived_cl453, plain, (![X0 : $i]: (~ (id @ sk_ @ X0) | (r1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl274])).
% 85.20/12.80 thf(zip_derived_cl20, plain, (![X0 : $i]: (id @ X0 @ X0)),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_5])).
% 85.20/12.80 thf(zip_derived_cl20, plain, (![X0 : $i]: (id @ X0 @ X0)),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_5])).
% 85.20/12.80 thf(zip_derived_cl102, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 ( (r4 @ X0 @ X1 @ X2) | ~ (id @ X2 @ (sk__3 @ X1 @ X0)))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl76, zip_derived_cl17])).
% 85.20/12.80 thf(zip_derived_cl255, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (r4 @ X0 @ X1 @ (sk__3 @ X1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl102])).
% 85.20/12.80 thf(zerotimeszeroeqzero, conjecture,
% 85.20/12.80 (?[Y1:$i]:
% 85.20/12.80 ( ( ?[Y3:$i]: ( ( r1 @ Y3 ) & ( id @ Y1 @ Y3 ) ) ) &
% 85.20/12.80 ( ?[Y2:$i]: ( ( r4 @ Y2 @ Y2 @ Y1 ) & ( r1 @ Y2 ) ) ) ))).
% 85.20/12.80 thf(zf_stmt_20, negated_conjecture,
% 85.20/12.80 (~( ?[Y1:$i]:
% 85.20/12.80 ( ( ?[Y3:$i]: ( ( r1 @ Y3 ) & ( id @ Y1 @ Y3 ) ) ) &
% 85.20/12.80 ( ?[Y2:$i]: ( ( r4 @ Y2 @ Y2 @ Y1 ) & ( r1 @ Y2 ) ) ) ) )),
% 85.20/12.80 inference('cnf.neg', [status(esa)], [zerotimeszeroeqzero])).
% 85.20/12.80 thf(zip_derived_cl67, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.20/12.80 (~ (id @ X0 @ X1) | ~ (r1 @ X1) | ~ (r1 @ X2) | ~ (r4 @ X2 @ X2 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [zf_stmt_20])).
% 85.20/12.80 thf(zip_derived_cl2634, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]:
% 85.20/12.80 (~ (id @ (sk__3 @ X0 @ X0) @ X1) | ~ (r1 @ X1) | ~ (r1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl67])).
% 85.20/12.80 thf(zip_derived_cl2714, plain,
% 85.20/12.80 (![X0 : $i]: (~ (r1 @ (sk__3 @ X0 @ X0)) | ~ (r1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl2634])).
% 85.20/12.80 thf(zip_derived_cl2773, plain,
% 85.20/12.80 (![X0 : $i]: (~ (id @ sk_ @ (sk__3 @ X0 @ X0)) | ~ (r1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl453, zip_derived_cl2714])).
% 85.20/12.80 thf(zip_derived_cl2791, plain,
% 85.20/12.80 (![X0 : $i]: (~ (r4 @ X0 @ X0 @ sk_) | ~ (r1 @ X0))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl105, zip_derived_cl2773])).
% 85.20/12.80 thf(zip_derived_cl40942, plain,
% 85.20/12.80 ((~ (r1 @ sk_) | ~ (r1 @ sk_) | ~ (r1 @ sk_))),
% 85.20/12.80 inference('s_sup-', [status(thm)],
% 85.20/12.80 [zip_derived_cl40642, zip_derived_cl2791])).
% 85.20/12.80 thf(zip_derived_cl125, plain, (![X0 : $i]: (id @ (sk__13 @ X0) @ sk_)),
% 85.20/12.80 inference('s_sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl56])).
% 85.20/12.80 thf(zip_derived_cl108, plain,
% 85.20/12.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X1) | ~ (id @ X1 @ X0) | (r1 @ X0))),
% 85.20/12.80 inference('dp-resolution', [status(thm)],
% 85.20/12.80 [zip_derived_cl79, zip_derived_cl25])).
% 85.20/12.80 thf(zip_derived_cl136, plain,
% 85.20/12.80 (![X0 : $i]: (~ (r1 @ (sk__13 @ X0)) | (r1 @ sk_))),
% 85.20/12.80 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl108])).
% 85.20/12.80 thf(zip_derived_cl56, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 85.20/12.80 inference('cnf', [status(esa)], [axiom_4a])).
% 85.20/12.80 thf(zip_derived_cl137, plain, ( (r1 @ sk_)),
% 85.20/12.80 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl56])).
% 85.20/12.80 thf(zip_derived_cl137, plain, ( (r1 @ sk_)),
% 85.20/12.80 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl56])).
% 85.20/12.80 thf(zip_derived_cl137, plain, ( (r1 @ sk_)),
% 85.20/12.80 inference('demod', [status(thm)], [zip_derived_cl136, zip_derived_cl56])).
% 85.20/12.80 thf(zip_derived_cl41002, plain, ($false),
% 85.20/12.80 inference('demod', [status(thm)],
% 85.20/12.80 [zip_derived_cl40942, zip_derived_cl137, zip_derived_cl137,
% 85.20/12.80 zip_derived_cl137])).
% 85.20/12.80
% 85.20/12.80 % SZS output end Refutation
% 85.20/12.80
% 85.20/12.80
% 85.20/12.80 % Terminating...
% 85.21/12.86 % Runner terminated.
% 85.21/12.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------