%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN082+2 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QWzMCHIau8 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 04:48:58 PM UTC 2025
% Result : Theorem 0.60s 0.89s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN082+2 : TPTP v9.2.0. Released v7.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QWzMCHIau8 true
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 12:11:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.57/0.68 % Total configuration time : 435
% 0.57/0.68 % Estimated wc time : 1092
% 0.57/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.89 % Solved by fo/fo6_bce.sh.
% 0.60/0.89 % BCE start: 45
% 0.60/0.89 % BCE eliminated: 0
% 0.60/0.89 % PE start: 45
% 0.60/0.89 logic: eq
% 0.60/0.89 % PE eliminated: 15
% 0.60/0.89 % done 131 iterations in 0.089s
% 0.60/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.89 % SZS output start Refutation
% 0.60/0.89 thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.60/0.89 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.60/0.89 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 0.60/0.89 thf(r2_type, type, r2: $i > $i > $o).
% 0.60/0.89 thf(sk__1_type, type, sk__1: $i > $i).
% 0.60/0.89 thf(sk__16_type, type, sk__16: $i > $i).
% 0.60/0.89 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 0.60/0.89 thf(sk__11_type, type, sk__11: $i > $i > $i).
% 0.60/0.89 thf(sk__15_type, type, sk__15: $i > $i).
% 0.60/0.89 thf(sk__8_type, type, sk__8: $i > $i > $i).
% 0.60/0.89 thf(sk__14_type, type, sk__14: $i > $i).
% 0.60/0.89 thf(r1_type, type, r1: $i > $o).
% 0.60/0.89 thf(sk__12_type, type, sk__12: $i > $i).
% 0.60/0.89 thf(sk__13_type, type, sk__13: $i > $i).
% 0.60/0.89 thf(sk__3_type, type, sk__3: $i > $i > $i).
% 0.60/0.89 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 0.60/0.89 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.60/0.89 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 0.60/0.89 thf(sk__9_type, type, sk__9: $i > $i > $i).
% 0.60/0.89 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 0.60/0.89 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.60/0.89 thf(sk__10_type, type, sk__10: $i > $i > $i).
% 0.60/0.89 thf(r4_type, type, r4: $i > $i > $i > $o).
% 0.60/0.89 thf(sk__2_type, type, sk__2: $i > $i > $i).
% 0.60/0.89 thf(sk__type, type, sk_: $i).
% 0.60/0.89 thf(axiom_5a, axiom,
% 0.60/0.89 (![X5:$i]:
% 0.60/0.89 ( ?[Y8:$i]:
% 0.60/0.89 ( ( ?[Y18:$i]: ( ( ( Y8 ) = ( Y18 ) ) & ( r1 @ Y18 ) ) ) &
% 0.60/0.89 ( ?[Y17:$i]: ( ( r4 @ X5 @ Y17 @ Y8 ) & ( r1 @ Y17 ) ) ) ) ))).
% 0.60/0.89 thf(zip_derived_cl34, plain,
% 0.60/0.89 (![X0 : $i]: (r4 @ X0 @ (sk__16 @ X0) @ (sk__14 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_5a])).
% 0.60/0.89 thf(zip_derived_cl35, plain, (![X0 : $i]: (r1 @ (sk__16 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_5a])).
% 0.60/0.89 thf(axiom_1, axiom,
% 0.60/0.89 (?[Y24:$i]:
% 0.60/0.89 ( ![X19:$i]:
% 0.60/0.89 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 0.60/0.89 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $i > $o).
% 0.60/0.89 thf(zf_stmt_1, axiom,
% 0.60/0.89 (![X19:$i,Y24:$i]:
% 0.60/0.89 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 0.60/0.89 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 0.60/0.89 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $o).
% 0.60/0.89 thf(zf_stmt_3, axiom,
% 0.60/0.89 (![X19:$i,Y24:$i]:
% 0.60/0.89 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 0.60/0.89 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_4, axiom,
% 0.60/0.89 (?[Y24:$i]:
% 0.60/0.89 ( ![X19:$i]:
% 0.60/0.89 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 0.60/0.89 thf(zip_derived_cl4, plain,
% 0.60/0.89 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.89 thf(zip_derived_cl1, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.89 thf(zip_derived_cl168, plain,
% 0.60/0.89 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl4, zip_derived_cl1])).
% 0.60/0.89 thf(zip_derived_cl2, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.89 thf(zip_derived_cl179, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl168, zip_derived_cl2])).
% 0.60/0.89 thf(zip_derived_cl217, plain, (![X0 : $i]: ((sk__16 @ X0) = (sk_))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl179])).
% 0.60/0.89 thf(zip_derived_cl36, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk__15 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_5a])).
% 0.60/0.89 thf(zip_derived_cl37, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_5a])).
% 0.60/0.89 thf(zip_derived_cl179, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl168, zip_derived_cl2])).
% 0.60/0.89 thf(zip_derived_cl224, plain, (![X0 : $i]: ((sk__15 @ X0) = (sk_))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl179])).
% 0.60/0.89 thf(zip_derived_cl231, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk_))),
% 0.60/0.89 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl224])).
% 0.60/0.89 thf(zip_derived_cl240, plain, (![X0 : $i]: (r4 @ X0 @ sk_ @ sk_)),
% 0.60/0.89 inference('demod', [status(thm)],
% 0.60/0.89 [zip_derived_cl34, zip_derived_cl217, zip_derived_cl231])).
% 0.60/0.89 thf(axiom_4, axiom,
% 0.60/0.89 (![X16:$i,X17:$i]:
% 0.60/0.89 ( ?[Y23:$i]:
% 0.60/0.89 ( ![X18:$i]:
% 0.60/0.89 ( ( ( ~( r4 @ X16 @ X17 @ X18 ) ) & ( ( X18 ) != ( Y23 ) ) ) |
% 0.60/0.89 ( ( r4 @ X16 @ X17 @ X18 ) & ( ( X18 ) = ( Y23 ) ) ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_5, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 0.60/0.89 thf(zf_stmt_6, axiom,
% 0.60/0.89 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 0.60/0.89 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) =>
% 0.60/0.89 ( ( ( X18 ) = ( Y23 ) ) & ( r4 @ X16 @ X17 @ X18 ) ) ))).
% 0.60/0.89 thf(zf_stmt_7, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 0.60/0.89 thf(zf_stmt_8, axiom,
% 0.60/0.89 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 0.60/0.89 ( ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) =>
% 0.60/0.89 ( ( ( X18 ) != ( Y23 ) ) & ( ~( r4 @ X16 @ X17 @ X18 ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_9, axiom,
% 0.60/0.89 (![X16:$i,X17:$i]:
% 0.60/0.89 ( ?[Y23:$i]:
% 0.60/0.89 ( ![X18:$i]:
% 0.60/0.89 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) |
% 0.60/0.89 ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) ) ) ))).
% 0.60/0.89 thf(zip_derived_cl19, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 ( (zip_tseitin_7 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2)
% 0.60/0.89 | (zip_tseitin_6 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.60/0.89 thf(zip_derived_cl16, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.89 (~ (r4 @ X0 @ X1 @ X2) | ~ (zip_tseitin_6 @ X2 @ X3 @ X1 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.60/0.89 thf(zip_derived_cl176, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 ( (zip_tseitin_7 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 0.60/0.89 | ~ (r4 @ X0 @ X1 @ X2))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl19, zip_derived_cl16])).
% 0.60/0.89 thf(zip_derived_cl17, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.89 (((X1) = (X0)) | ~ (zip_tseitin_7 @ X1 @ X0 @ X2 @ X3))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.60/0.89 thf(zip_derived_cl195, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl176, zip_derived_cl17])).
% 0.60/0.89 thf(zip_derived_cl255, plain, (![X0 : $i]: ((sk_) = (sk__3 @ sk_ @ X0))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl195])).
% 0.60/0.89 thf(axiom_4a, axiom,
% 0.60/0.89 (![X4:$i]:
% 0.60/0.89 ( ?[Y9:$i]:
% 0.60/0.89 ( ( ( Y9 ) = ( X4 ) ) &
% 0.60/0.89 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 0.60/0.89 thf(zip_derived_cl31, plain,
% 0.60/0.89 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_4a])).
% 0.60/0.89 thf(axiom_3, axiom,
% 0.60/0.89 (![X13:$i,X14:$i]:
% 0.60/0.89 ( ?[Y22:$i]:
% 0.60/0.89 ( ![X15:$i]:
% 0.60/0.89 ( ( ( ~( r3 @ X13 @ X14 @ X15 ) ) & ( ( X15 ) != ( Y22 ) ) ) |
% 0.60/0.89 ( ( r3 @ X13 @ X14 @ X15 ) & ( ( X15 ) = ( Y22 ) ) ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_10, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 0.60/0.89 thf(zf_stmt_11, axiom,
% 0.60/0.89 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 0.60/0.89 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) =>
% 0.60/0.89 ( ( ( X15 ) = ( Y22 ) ) & ( r3 @ X13 @ X14 @ X15 ) ) ))).
% 0.60/0.89 thf(zf_stmt_12, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 0.60/0.89 thf(zf_stmt_13, axiom,
% 0.60/0.89 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 0.60/0.89 ( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) =>
% 0.60/0.89 ( ( ( X15 ) != ( Y22 ) ) & ( ~( r3 @ X13 @ X14 @ X15 ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_14, axiom,
% 0.60/0.89 (![X13:$i,X14:$i]:
% 0.60/0.89 ( ?[Y22:$i]:
% 0.60/0.89 ( ![X15:$i]:
% 0.60/0.89 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) |
% 0.60/0.89 ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ) ))).
% 0.60/0.89 thf(zip_derived_cl14, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 ( (zip_tseitin_5 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2)
% 0.60/0.89 | (zip_tseitin_4 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.60/0.89 thf(zip_derived_cl11, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.89 (~ (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_4 @ X2 @ X3 @ X1 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.60/0.89 thf(zip_derived_cl174, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 ( (zip_tseitin_5 @ X2 @ (sk__2 @ X1 @ X0) @ X1 @ X0)
% 0.60/0.89 | ~ (r3 @ X0 @ X1 @ X2))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl14, zip_derived_cl11])).
% 0.60/0.89 thf(zip_derived_cl12, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.89 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.60/0.89 thf(zip_derived_cl191, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl174, zip_derived_cl12])).
% 0.60/0.89 thf(zip_derived_cl200, plain,
% 0.60/0.89 (![X0 : $i]: ((sk__12 @ X0) = (sk__2 @ (sk__13 @ X0) @ X0))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl31, zip_derived_cl191])).
% 0.60/0.89 thf(zip_derived_cl33, plain, (![X0 : $i]: ((sk__12 @ X0) = (X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_4a])).
% 0.60/0.89 thf(zip_derived_cl179, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl168, zip_derived_cl2])).
% 0.60/0.89 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_4a])).
% 0.60/0.89 thf(zip_derived_cl211, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.60/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl32])).
% 0.60/0.89 thf(zip_derived_cl329, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 0.60/0.89 inference('demod', [status(thm)],
% 0.60/0.89 [zip_derived_cl200, zip_derived_cl33, zip_derived_cl211])).
% 0.60/0.89 thf(axiom_2a, axiom,
% 0.60/0.89 (![X2:$i,X9:$i]:
% 0.60/0.89 ( ?[Y2:$i]:
% 0.60/0.89 ( ( ?[Y6:$i]: ( ( r4 @ X2 @ X9 @ Y6 ) & ( r3 @ Y6 @ X2 @ Y2 ) ) ) &
% 0.60/0.89 ( ?[Y3:$i]:
% 0.60/0.89 ( ( ( Y3 ) = ( Y2 ) ) &
% 0.60/0.89 ( ?[Y14:$i]: ( ( r4 @ X2 @ Y14 @ Y3 ) & ( r2 @ X9 @ Y14 ) ) ) ) ) ) ))).
% 0.60/0.89 thf(zip_derived_cl29, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (r3 @ (sk__9 @ X0 @ X1) @ X1 @ (sk__8 @ X0 @ X1))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_2a])).
% 0.60/0.89 thf(zip_derived_cl191, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl174, zip_derived_cl12])).
% 0.60/0.89 thf(zip_derived_cl199, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]:
% 0.60/0.89 ((sk__8 @ X1 @ X0) = (sk__2 @ X0 @ (sk__9 @ X1 @ X0)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl29, zip_derived_cl191])).
% 0.60/0.89 thf(zip_derived_cl330, plain,
% 0.60/0.89 (![X0 : $i]: ((sk__8 @ X0 @ sk_) = (sk__9 @ X0 @ sk_))),
% 0.60/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl329, zip_derived_cl199])).
% 0.60/0.89 thf(zip_derived_cl28, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (r4 @ X0 @ X1 @ (sk__9 @ X1 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_2a])).
% 0.60/0.89 thf(zip_derived_cl331, plain,
% 0.60/0.89 (![X0 : $i]: (r4 @ sk_ @ X0 @ (sk__8 @ X0 @ sk_))),
% 0.60/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl330, zip_derived_cl28])).
% 0.60/0.89 thf(zip_derived_cl195, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl176, zip_derived_cl17])).
% 0.60/0.89 thf(zip_derived_cl401, plain,
% 0.60/0.89 (![X0 : $i]: ((sk__8 @ X0 @ sk_) = (sk__3 @ X0 @ sk_))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl331, zip_derived_cl195])).
% 0.60/0.89 thf(zip_derived_cl4, plain,
% 0.60/0.89 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.89 thf(zip_derived_cl0, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.89 thf(zip_derived_cl167, plain,
% 0.60/0.89 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ((X0) != (sk_)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl4, zip_derived_cl0])).
% 0.60/0.89 thf(zip_derived_cl3, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_1 @ X0 @ X1))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.89 thf(zip_derived_cl178, plain, (![X0 : $i]: (((X0) != (sk_)) | (r1 @ X0))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl167, zip_derived_cl3])).
% 0.60/0.89 thf(axiom_2, axiom,
% 0.60/0.89 (![X11:$i]:
% 0.60/0.89 ( ?[Y21:$i]:
% 0.60/0.89 ( ![X12:$i]:
% 0.60/0.89 ( ( ( ~( r2 @ X11 @ X12 ) ) & ( ( X12 ) != ( Y21 ) ) ) |
% 0.60/0.89 ( ( r2 @ X11 @ X12 ) & ( ( X12 ) = ( Y21 ) ) ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_15, type, zip_tseitin_3 : $i > $i > $i > $o).
% 0.60/0.89 thf(zf_stmt_16, axiom,
% 0.60/0.89 (![X12:$i,Y21:$i,X11:$i]:
% 0.60/0.89 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) =>
% 0.60/0.89 ( ( ( X12 ) = ( Y21 ) ) & ( r2 @ X11 @ X12 ) ) ))).
% 0.60/0.89 thf(zf_stmt_17, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.60/0.89 thf(zf_stmt_18, axiom,
% 0.60/0.89 (![X12:$i,Y21:$i,X11:$i]:
% 0.60/0.89 ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) =>
% 0.60/0.89 ( ( ( X12 ) != ( Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_19, axiom,
% 0.60/0.89 (![X11:$i]:
% 0.60/0.89 ( ?[Y21:$i]:
% 0.60/0.89 ( ![X12:$i]:
% 0.60/0.89 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) |
% 0.60/0.89 ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ) ))).
% 0.60/0.89 thf(zip_derived_cl9, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]:
% 0.60/0.89 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 0.60/0.89 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.60/0.89 thf(zip_derived_cl5, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (((X1) != (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.60/0.89 thf(zip_derived_cl171, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]:
% 0.60/0.89 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ((X1) != (sk__1 @ X0)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl9, zip_derived_cl5])).
% 0.60/0.89 thf(zip_derived_cl8, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.60/0.89 thf(zip_derived_cl186, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl171, zip_derived_cl8])).
% 0.60/0.89 thf(zip_derived_cl229, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.60/0.89 inference('eq_res', [status(thm)], [zip_derived_cl186])).
% 0.60/0.89 thf(zip_derived_cl27, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]:
% 0.60/0.89 (r4 @ X0 @ (sk__11 @ X1 @ X0) @ (sk__10 @ X1 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_2a])).
% 0.60/0.89 thf(zip_derived_cl25, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: ((sk__10 @ X0 @ X1) = (sk__8 @ X0 @ X1))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_2a])).
% 0.60/0.89 thf(zip_derived_cl230, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (r4 @ X0 @ (sk__11 @ X1 @ X0) @ (sk__8 @ X1 @ X0))),
% 0.60/0.89 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl25])).
% 0.60/0.89 thf(xtimesoneeqzero, conjecture,
% 0.60/0.89 (?[Y1:$i,Y2:$i]:
% 0.60/0.89 ( ( ?[Y5:$i]: ( ( ( Y2 ) = ( Y5 ) ) & ( r1 @ Y5 ) ) ) &
% 0.60/0.89 ( ?[Y3:$i]:
% 0.60/0.89 ( ( ?[Y4:$i]: ( ( r2 @ Y4 @ Y3 ) & ( r1 @ Y4 ) ) ) &
% 0.60/0.89 ( r4 @ Y1 @ Y3 @ Y2 ) ) ) ))).
% 0.60/0.89 thf(zf_stmt_20, negated_conjecture,
% 0.60/0.89 (~( ?[Y1:$i,Y2:$i]:
% 0.60/0.89 ( ( ?[Y5:$i]: ( ( ( Y2 ) = ( Y5 ) ) & ( r1 @ Y5 ) ) ) &
% 0.60/0.89 ( ?[Y3:$i]:
% 0.60/0.89 ( ( ?[Y4:$i]: ( ( r2 @ Y4 @ Y3 ) & ( r1 @ Y4 ) ) ) &
% 0.60/0.89 ( r4 @ Y1 @ Y3 @ Y2 ) ) ) ) )),
% 0.60/0.89 inference('cnf.neg', [status(esa)], [xtimesoneeqzero])).
% 0.60/0.89 thf(zip_derived_cl44, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.60/0.89 (~ (r1 @ X0)
% 0.60/0.89 | ((X1) != (X0))
% 0.60/0.89 | ~ (r4 @ X2 @ X3 @ X1)
% 0.60/0.89 | ~ (r2 @ X4 @ X3)
% 0.60/0.89 | ~ (r1 @ X4))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.60/0.89 thf(zip_derived_cl250, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.89 (~ (r1 @ X0) | ~ (r2 @ X0 @ X1) | ~ (r4 @ X3 @ X1 @ X2) | ~ (r1 @ X2))),
% 0.60/0.89 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 0.60/0.89 thf(zip_derived_cl263, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (~ (r1 @ X2)
% 0.60/0.89 | ~ (r2 @ X2 @ (sk__11 @ X1 @ X0))
% 0.60/0.89 | ~ (r1 @ (sk__8 @ X1 @ X0)))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl230, zip_derived_cl250])).
% 0.60/0.89 thf(zip_derived_cl26, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__11 @ X0 @ X1))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_2a])).
% 0.60/0.89 thf(zip_derived_cl9, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]:
% 0.60/0.89 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 0.60/0.89 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.60/0.89 thf(zip_derived_cl6, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (~ (r2 @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.60/0.89 thf(zip_derived_cl172, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]:
% 0.60/0.89 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ~ (r2 @ X0 @ X1))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl9, zip_derived_cl6])).
% 0.60/0.89 thf(zip_derived_cl7, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (((X1) = (X0)) | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 0.60/0.89 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.60/0.89 thf(zip_derived_cl187, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 0.60/0.89 inference('dp-resolution', [status(thm)],
% 0.60/0.89 [zip_derived_cl172, zip_derived_cl7])).
% 0.60/0.89 thf(zip_derived_cl237, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: ((sk__11 @ X1 @ X0) = (sk__1 @ X1))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl187])).
% 0.60/0.89 thf(zip_derived_cl340, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.89 (~ (r1 @ X2) | ~ (r2 @ X2 @ (sk__1 @ X1)) | ~ (r1 @ (sk__8 @ X1 @ X0)))),
% 0.60/0.89 inference('demod', [status(thm)], [zip_derived_cl263, zip_derived_cl237])).
% 0.60/0.89 thf(zip_derived_cl350, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (r1 @ (sk__8 @ X0 @ X1)))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl229, zip_derived_cl340])).
% 0.60/0.89 thf(zip_derived_cl355, plain,
% 0.60/0.89 (![X0 : $i, X1 : $i]: (((sk__8 @ X1 @ X0) != (sk_)) | ~ (r1 @ X1))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl350])).
% 0.60/0.89 thf(zip_derived_cl413, plain,
% 0.60/0.89 (![X0 : $i]: (((sk__3 @ X0 @ sk_) != (sk_)) | ~ (r1 @ X0))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl401, zip_derived_cl355])).
% 0.60/0.89 thf(zip_derived_cl420, plain, ((((sk_) != (sk_)) | ~ (r1 @ sk_))),
% 0.60/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl413])).
% 0.60/0.89 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.60/0.89 inference('cnf', [status(esa)], [axiom_4a])).
% 0.60/0.89 thf(zip_derived_cl211, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.60/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl32])).
% 0.60/0.89 thf(zip_derived_cl215, plain, ( (r1 @ sk_)),
% 0.60/0.89 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl211])).
% 0.60/0.89 thf(zip_derived_cl421, plain, (((sk_) != (sk_))),
% 0.60/0.89 inference('demod', [status(thm)], [zip_derived_cl420, zip_derived_cl215])).
% 0.60/0.89 thf(zip_derived_cl422, plain, ($false),
% 0.60/0.89 inference('simplify', [status(thm)], [zip_derived_cl421])).
% 0.60/0.89
% 0.60/0.89 % SZS output end Refutation
% 0.60/0.89
% 0.60/0.89
% 0.60/0.89 % Terminating...
% 0.61/1.01 % Runner terminated.
% 1.91/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------