%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN072+2 : 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.iKMDDcpVna true
% Computer : n020.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 04:48:56 PM UTC 2025
% Result : Theorem 4.31s 1.19s
% Output : Refutation 4.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUN072+2 : TPTP v9.2.0. Released v7.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iKMDDcpVna true
% 0.13/0.34 % Computer : n020.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 12:11:38 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
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.31/1.19 % Solved by fo/fo3_bce.sh.
% 4.31/1.19 % BCE start: 45
% 4.31/1.19 % BCE eliminated: 0
% 4.31/1.19 % PE start: 45
% 4.31/1.19 logic: eq
% 4.31/1.19 % PE eliminated: 14
% 4.31/1.19 % done 670 iterations in 0.451s
% 4.31/1.19 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.31/1.19 % SZS output start Refutation
% 4.31/1.19 thf(r3_type, type, r3: $i > $i > $i > $o).
% 4.31/1.19 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 4.31/1.19 thf(sk__15_type, type, sk__15: $i > $i).
% 4.31/1.19 thf(sk__2_type, type, sk__2: $i > $i > $i).
% 4.31/1.19 thf(sk__19_type, type, sk__19: $i > $i).
% 4.31/1.19 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $o).
% 4.31/1.19 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 4.31/1.19 thf(sk__1_type, type, sk__1: $i > $i).
% 4.31/1.19 thf(r2_type, type, r2: $i > $i > $o).
% 4.31/1.19 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 4.31/1.19 thf(sk__11_type, type, sk__11: $i > $i > $i).
% 4.31/1.19 thf(sk__12_type, type, sk__12: $i > $i).
% 4.31/1.19 thf(r1_type, type, r1: $i > $o).
% 4.31/1.19 thf(sk__9_type, type, sk__9: $i > $i > $i).
% 4.31/1.19 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 4.31/1.19 thf(sk__type, type, sk_: $i).
% 4.31/1.19 thf(sk__16_type, type, sk__16: $i > $i).
% 4.31/1.19 thf(sk__13_type, type, sk__13: $i > $i).
% 4.31/1.19 thf(sk__10_type, type, sk__10: $i > $i > $i).
% 4.31/1.19 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 4.31/1.19 thf(sk__17_type, type, sk__17: $i > $i).
% 4.31/1.19 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 4.31/1.19 thf(sk__6_type, type, sk__6: $i > $i > $i).
% 4.31/1.19 thf(sk__8_type, type, sk__8: $i > $i > $i).
% 4.31/1.19 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 4.31/1.19 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 4.31/1.19 thf(sk__3_type, type, sk__3: $i > $i > $i).
% 4.31/1.19 thf(sk__14_type, type, sk__14: $i > $i).
% 4.31/1.19 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $i > $i > $o).
% 4.31/1.19 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 4.31/1.19 thf(r4_type, type, r4: $i > $i > $i > $o).
% 4.31/1.19 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 4.31/1.19 thf(sk__18_type, type, sk__18: $i > $i).
% 4.31/1.19 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 4.31/1.19 thf(axiom_4a, axiom,
% 4.31/1.19 (![X4:$i]:
% 4.31/1.19 ( ?[Y9:$i]:
% 4.31/1.19 ( ( ( Y9 ) = ( X4 ) ) &
% 4.31/1.19 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl31, plain,
% 4.31/1.19 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_4a])).
% 4.31/1.19 thf(axiom_3, axiom,
% 4.31/1.19 (![X13:$i,X14:$i]:
% 4.31/1.19 ( ?[Y22:$i]:
% 4.31/1.19 ( ![X15:$i]:
% 4.31/1.19 ( ( ( ~( r3 @ X13 @ X14 @ X15 ) ) & ( ( X15 ) != ( Y22 ) ) ) |
% 4.31/1.19 ( ( r3 @ X13 @ X14 @ X15 ) & ( ( X15 ) = ( Y22 ) ) ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_0, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_1, axiom,
% 4.31/1.19 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 4.31/1.19 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) =>
% 4.31/1.19 ( ( ( X15 ) = ( Y22 ) ) & ( r3 @ X13 @ X14 @ X15 ) ) ))).
% 4.31/1.19 thf(zf_stmt_2, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_3, axiom,
% 4.31/1.19 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 4.31/1.19 ( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) =>
% 4.31/1.19 ( ( ( X15 ) != ( Y22 ) ) & ( ~( r3 @ X13 @ X14 @ X15 ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_4, axiom,
% 4.31/1.19 (![X13:$i,X14:$i]:
% 4.31/1.19 ( ?[Y22:$i]:
% 4.31/1.19 ( ![X15:$i]:
% 4.31/1.19 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) |
% 4.31/1.19 ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl14, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 ( (zip_tseitin_5 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2)
% 4.31/1.19 | (zip_tseitin_4 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.31/1.19 thf(zip_derived_cl11, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.31/1.19 (~ (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_4 @ X2 @ X3 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.31/1.19 thf(zip_derived_cl184, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 ( (zip_tseitin_5 @ X2 @ (sk__2 @ X1 @ X0) @ X1 @ X0)
% 4.31/1.19 | ~ (r3 @ X0 @ X1 @ X2))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl14, zip_derived_cl11])).
% 4.31/1.19 thf(zip_derived_cl12, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.31/1.19 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.31/1.19 thf(zip_derived_cl201, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl184, zip_derived_cl12])).
% 4.31/1.19 thf(zip_derived_cl210, plain,
% 4.31/1.19 (![X0 : $i]: ((sk__12 @ X0) = (sk__2 @ (sk__13 @ X0) @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl31, zip_derived_cl201])).
% 4.31/1.19 thf(zip_derived_cl33, plain, (![X0 : $i]: ((sk__12 @ X0) = (X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_4a])).
% 4.31/1.19 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_4a])).
% 4.31/1.19 thf(axiom_1, axiom,
% 4.31/1.19 (?[Y24:$i]:
% 4.31/1.19 ( ![X19:$i]:
% 4.31/1.19 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 4.31/1.19 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_5, type, zip_tseitin_1 : $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_6, axiom,
% 4.31/1.19 (![X19:$i,Y24:$i]:
% 4.31/1.19 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 4.31/1.19 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 4.31/1.19 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_8, axiom,
% 4.31/1.19 (![X19:$i,Y24:$i]:
% 4.31/1.19 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 4.31/1.19 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_9, axiom,
% 4.31/1.19 (?[Y24:$i]:
% 4.31/1.19 ( ![X19:$i]:
% 4.31/1.19 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 4.31/1.19 thf(zip_derived_cl4, plain,
% 4.31/1.19 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.31/1.19 thf(zip_derived_cl1, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.31/1.19 thf(zip_derived_cl178, plain,
% 4.31/1.19 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl4, zip_derived_cl1])).
% 4.31/1.19 thf(zip_derived_cl2, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.31/1.19 thf(zip_derived_cl189, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl178, zip_derived_cl2])).
% 4.31/1.19 thf(zip_derived_cl222, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl189])).
% 4.31/1.19 thf(zip_derived_cl264, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 4.31/1.19 inference('demod', [status(thm)],
% 4.31/1.19 [zip_derived_cl210, zip_derived_cl33, zip_derived_cl222])).
% 4.31/1.19 thf(axiom_6a, axiom,
% 4.31/1.19 (![X6:$i]:
% 4.31/1.19 ( ( ?[Y19:$i]: ( ( r1 @ Y19 ) & ( ( X6 ) = ( Y19 ) ) ) ) |
% 4.31/1.19 ( ?[Y1:$i,Y11:$i]: ( ( r2 @ Y1 @ Y11 ) & ( ( X6 ) = ( Y11 ) ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_10, type, zip_tseitin_9 : $i > $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_11, axiom,
% 4.31/1.19 (![Y11:$i,Y1:$i,X6:$i]:
% 4.31/1.19 ( ( zip_tseitin_9 @ Y11 @ Y1 @ X6 ) =>
% 4.31/1.19 ( ( ( X6 ) = ( Y11 ) ) & ( r2 @ Y1 @ Y11 ) ) ))).
% 4.31/1.19 thf(zf_stmt_12, type, zip_tseitin_8 : $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_13, axiom,
% 4.31/1.19 (![Y19:$i,X6:$i]:
% 4.31/1.19 ( ( zip_tseitin_8 @ Y19 @ X6 ) => ( ( ( X6 ) = ( Y19 ) ) & ( r1 @ Y19 ) ) ))).
% 4.31/1.19 thf(zf_stmt_14, axiom,
% 4.31/1.19 (![X6:$i]:
% 4.31/1.19 ( ( ?[Y1:$i,Y11:$i]: ( zip_tseitin_9 @ Y11 @ Y1 @ X6 ) ) |
% 4.31/1.19 ( ?[Y19:$i]: ( zip_tseitin_8 @ Y19 @ X6 ) ) ))).
% 4.31/1.19 thf(zip_derived_cl42, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 ( (zip_tseitin_9 @ (sk__18 @ X0) @ (sk__17 @ X0) @ X0)
% 4.31/1.19 | (zip_tseitin_8 @ (sk__19 @ X0) @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_14])).
% 4.31/1.19 thf(zip_derived_cl39, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_8 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.31/1.19 thf(zip_derived_cl180, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 ( (zip_tseitin_9 @ (sk__18 @ X0) @ (sk__17 @ X0) @ X0)
% 4.31/1.19 | (r1 @ (sk__19 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl42, zip_derived_cl39])).
% 4.31/1.19 thf(zip_derived_cl41, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_9 @ X1 @ X0 @ X2))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.31/1.19 thf(zip_derived_cl194, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 ( (r1 @ (sk__19 @ X0)) | (r2 @ (sk__17 @ X0) @ (sk__18 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl180, zip_derived_cl41])).
% 4.31/1.19 thf(axiom_2, axiom,
% 4.31/1.19 (![X11:$i]:
% 4.31/1.19 ( ?[Y21:$i]:
% 4.31/1.19 ( ![X12:$i]:
% 4.31/1.19 ( ( ( ~( r2 @ X11 @ X12 ) ) & ( ( X12 ) != ( Y21 ) ) ) |
% 4.31/1.19 ( ( r2 @ X11 @ X12 ) & ( ( X12 ) = ( Y21 ) ) ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_15, type, zip_tseitin_3 : $i > $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_16, axiom,
% 4.31/1.19 (![X12:$i,Y21:$i,X11:$i]:
% 4.31/1.19 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) =>
% 4.31/1.19 ( ( ( X12 ) = ( Y21 ) ) & ( r2 @ X11 @ X12 ) ) ))).
% 4.31/1.19 thf(zf_stmt_17, type, zip_tseitin_2 : $i > $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_18, axiom,
% 4.31/1.19 (![X12:$i,Y21:$i,X11:$i]:
% 4.31/1.19 ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) =>
% 4.31/1.19 ( ( ( X12 ) != ( Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_19, axiom,
% 4.31/1.19 (![X11:$i]:
% 4.31/1.19 ( ?[Y21:$i]:
% 4.31/1.19 ( ![X12:$i]:
% 4.31/1.19 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) |
% 4.31/1.19 ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl9, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 4.31/1.19 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_19])).
% 4.31/1.19 thf(zip_derived_cl6, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r2 @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_18])).
% 4.31/1.19 thf(zip_derived_cl182, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ~ (r2 @ X0 @ X1))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl9, zip_derived_cl6])).
% 4.31/1.19 thf(zip_derived_cl7, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((X1) = (X0)) | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_16])).
% 4.31/1.19 thf(zip_derived_cl197, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl182, zip_derived_cl7])).
% 4.31/1.19 thf(zip_derived_cl279, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 ( (r1 @ (sk__19 @ X0)) | ((sk__18 @ X0) = (sk__1 @ (sk__17 @ X0))))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl197])).
% 4.31/1.19 thf(zip_derived_cl189, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl178, zip_derived_cl2])).
% 4.31/1.19 thf(zip_derived_cl559, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 (((sk__18 @ X0) = (sk__1 @ (sk__17 @ X0))) | ((sk__19 @ X0) = (sk_)))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl189])).
% 4.31/1.19 thf(zip_derived_cl42, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 ( (zip_tseitin_9 @ (sk__18 @ X0) @ (sk__17 @ X0) @ X0)
% 4.31/1.19 | (zip_tseitin_8 @ (sk__19 @ X0) @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_14])).
% 4.31/1.19 thf(zip_derived_cl38, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_8 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.31/1.19 thf(zip_derived_cl179, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 ( (zip_tseitin_9 @ (sk__18 @ X0) @ (sk__17 @ X0) @ X0)
% 4.31/1.19 | ((X0) = (sk__19 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl42, zip_derived_cl38])).
% 4.31/1.19 thf(zip_derived_cl41, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_9 @ X1 @ X0 @ X2))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.31/1.19 thf(zip_derived_cl192, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 (((X0) = (sk__19 @ X0)) | (r2 @ (sk__17 @ X0) @ (sk__18 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl179, zip_derived_cl41])).
% 4.31/1.19 thf(zip_derived_cl197, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl182, zip_derived_cl7])).
% 4.31/1.19 thf(zip_derived_cl267, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 (((X0) = (sk__19 @ X0)) | ((sk__18 @ X0) = (sk__1 @ (sk__17 @ X0))))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl197])).
% 4.31/1.19 thf(zip_derived_cl700, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 (((X0) = (sk_))
% 4.31/1.19 | ((sk__18 @ X0) = (sk__1 @ (sk__17 @ X0)))
% 4.31/1.19 | ((sk__18 @ X0) = (sk__1 @ (sk__17 @ X0))))),
% 4.31/1.19 inference('sup+', [status(thm)], [zip_derived_cl559, zip_derived_cl267])).
% 4.31/1.19 thf(zip_derived_cl707, plain,
% 4.31/1.19 (![X0 : $i]: (((sk__18 @ X0) = (sk__1 @ (sk__17 @ X0))) | ((X0) = (sk_)))),
% 4.31/1.19 inference('simplify', [status(thm)], [zip_derived_cl700])).
% 4.31/1.19 thf(zip_derived_cl180, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 ( (zip_tseitin_9 @ (sk__18 @ X0) @ (sk__17 @ X0) @ X0)
% 4.31/1.19 | (r1 @ (sk__19 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl42, zip_derived_cl39])).
% 4.31/1.19 thf(zip_derived_cl40, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((X1) = (X0)) | ~ (zip_tseitin_9 @ X0 @ X2 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.31/1.19 thf(zip_derived_cl193, plain,
% 4.31/1.19 (![X0 : $i]: ( (r1 @ (sk__19 @ X0)) | ((X0) = (sk__18 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl180, zip_derived_cl40])).
% 4.31/1.19 thf(zip_derived_cl189, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl178, zip_derived_cl2])).
% 4.31/1.19 thf(zip_derived_cl259, plain,
% 4.31/1.19 (![X0 : $i]: (((X0) = (sk__18 @ X0)) | ((sk__19 @ X0) = (sk_)))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 4.31/1.19 thf(zip_derived_cl179, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 ( (zip_tseitin_9 @ (sk__18 @ X0) @ (sk__17 @ X0) @ X0)
% 4.31/1.19 | ((X0) = (sk__19 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl42, zip_derived_cl38])).
% 4.31/1.19 thf(zip_derived_cl40, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((X1) = (X0)) | ~ (zip_tseitin_9 @ X0 @ X2 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_11])).
% 4.31/1.19 thf(zip_derived_cl191, plain,
% 4.31/1.19 (![X0 : $i]: (((X0) = (sk__19 @ X0)) | ((X0) = (sk__18 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl179, zip_derived_cl40])).
% 4.31/1.19 thf(zip_derived_cl381, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 (((X0) = (sk_)) | ((X0) = (sk__18 @ X0)) | ((X0) = (sk__18 @ X0)))),
% 4.31/1.19 inference('sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl191])).
% 4.31/1.19 thf(zip_derived_cl383, plain,
% 4.31/1.19 (![X0 : $i]: (((X0) = (sk__18 @ X0)) | ((X0) = (sk_)))),
% 4.31/1.19 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 4.31/1.19 thf(zip_derived_cl743, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 (((X0) = (sk__1 @ (sk__17 @ X0))) | ((X0) = (sk_)) | ((X0) = (sk_)))),
% 4.31/1.19 inference('sup+', [status(thm)], [zip_derived_cl707, zip_derived_cl383])).
% 4.31/1.19 thf(zip_derived_cl753, plain,
% 4.31/1.19 (![X0 : $i]: (((X0) = (sk_)) | ((X0) = (sk__1 @ (sk__17 @ X0))))),
% 4.31/1.19 inference('simplify', [status(thm)], [zip_derived_cl743])).
% 4.31/1.19 thf(axiom_1a, axiom,
% 4.31/1.19 (![X1:$i,X8:$i]:
% 4.31/1.19 ( ?[Y4:$i]:
% 4.31/1.19 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 4.31/1.19 ( ?[Y5:$i]:
% 4.31/1.19 ( ( ( Y5 ) = ( Y4 ) ) &
% 4.31/1.19 ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl24, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r2 @ (sk__5 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_1a])).
% 4.31/1.19 thf(zip_derived_cl23, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_1a])).
% 4.31/1.19 thf(zip_derived_cl201, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl184, zip_derived_cl12])).
% 4.31/1.19 thf(zip_derived_cl208, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__5 @ X1 @ X0) = (sk__2 @ X1 @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl23, zip_derived_cl201])).
% 4.31/1.19 thf(zip_derived_cl254, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl208])).
% 4.31/1.19 thf(zip_derived_cl9, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 4.31/1.19 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_19])).
% 4.31/1.19 thf(zip_derived_cl5, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((X1) != (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_18])).
% 4.31/1.19 thf(zip_derived_cl181, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ((X1) != (sk__1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl9, zip_derived_cl5])).
% 4.31/1.19 thf(zip_derived_cl8, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_16])).
% 4.31/1.19 thf(zip_derived_cl196, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl181, zip_derived_cl8])).
% 4.31/1.19 thf(axiom_3a, axiom,
% 4.31/1.19 (![X3:$i,X10:$i]:
% 4.31/1.19 ( ( ( X3 ) = ( X10 ) ) |
% 4.31/1.19 ( ![Y12:$i]:
% 4.31/1.19 ( ( ~( r2 @ X10 @ Y12 ) ) |
% 4.31/1.19 ( ![Y13:$i]: ( ( ( Y13 ) != ( Y12 ) ) | ( ~( r2 @ X3 @ Y13 ) ) ) ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl30, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.31/1.19 (((X1) = (X0)) | ((X3) != (X2)) | ~ (r2 @ X1 @ X3) | ~ (r2 @ X0 @ X2))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_3a])).
% 4.31/1.19 thf(zip_derived_cl246, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r2 @ X1 @ X0) | ~ (r2 @ X2 @ X0) | ((X2) = (X1)))),
% 4.31/1.19 inference('eq_res', [status(thm)], [zip_derived_cl30])).
% 4.31/1.19 thf(zip_derived_cl401, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((X0) != (sk__1 @ X1)) | ((X2) = (X1)) | ~ (r2 @ X2 @ X0))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl246])).
% 4.31/1.19 thf(zip_derived_cl441, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((sk__2 @ X1 @ X0) = (X2)) | ((sk__4 @ X1 @ X0) != (sk__1 @ X2)))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl401])).
% 4.31/1.19 thf(zip_derived_cl22, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__7 @ X1 @ X0) @ (sk__6 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_1a])).
% 4.31/1.19 thf(zip_derived_cl201, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl184, zip_derived_cl12])).
% 4.31/1.19 thf(zip_derived_cl207, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__6 @ X1 @ X0) = (sk__2 @ (sk__7 @ X1 @ X0) @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl22, zip_derived_cl201])).
% 4.31/1.19 thf(zip_derived_cl20, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__6 @ X0 @ X1) = (sk__4 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_1a])).
% 4.31/1.19 thf(zip_derived_cl273, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__7 @ X1 @ X0) @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl207, zip_derived_cl20])).
% 4.31/1.19 thf(zip_derived_cl197, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl182, zip_derived_cl7])).
% 4.31/1.19 thf(zip_derived_cl21, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_1a])).
% 4.31/1.19 thf(zip_derived_cl240, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 4.31/1.19 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl21])).
% 4.31/1.19 thf(zip_derived_cl287, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__1 @ X1) @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl240])).
% 4.31/1.19 thf(zip_derived_cl696, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((sk__2 @ X1 @ X0) = (X2))
% 4.31/1.19 | ((sk__2 @ (sk__1 @ X1) @ X0) != (sk__1 @ X2)))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl441, zip_derived_cl287])).
% 4.31/1.19 thf(zip_derived_cl963, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((sk__2 @ (sk__1 @ X2) @ X1) != (X0))
% 4.31/1.19 | ((X0) = (sk_))
% 4.31/1.19 | ((sk__2 @ X2 @ X1) = (sk__17 @ X0)))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl753, zip_derived_cl696])).
% 4.31/1.19 thf(zip_derived_cl1663, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 (((sk__2 @ X1 @ X0) = (sk__17 @ (sk__2 @ (sk__1 @ X1) @ X0)))
% 4.31/1.19 | ((sk__2 @ (sk__1 @ X1) @ X0) = (sk_)))),
% 4.31/1.19 inference('eq_res', [status(thm)], [zip_derived_cl963])).
% 4.31/1.19 thf(zip_derived_cl254, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl208])).
% 4.31/1.19 thf(axiom_7a, axiom,
% 4.31/1.19 (![X7:$i,Y10:$i]:
% 4.31/1.19 ( ( ~( r2 @ X7 @ Y10 ) ) |
% 4.31/1.19 ( ![Y20:$i]: ( ( ( Y20 ) != ( Y10 ) ) | ( ~( r1 @ Y20 ) ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl43, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r2 @ X0 @ X1) | ~ (r1 @ X2) | ((X2) != (X1)))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_7a])).
% 4.31/1.19 thf(zip_derived_cl227, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (r2 @ X1 @ X0))),
% 4.31/1.19 inference('eq_res', [status(thm)], [zip_derived_cl43])).
% 4.31/1.19 thf(zip_derived_cl289, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ~ (r1 @ (sk__4 @ X1 @ X0))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl227])).
% 4.31/1.19 thf(zip_derived_cl4, plain,
% 4.31/1.19 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.31/1.19 thf(zip_derived_cl0, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.31/1.19 thf(zip_derived_cl177, plain,
% 4.31/1.19 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ((X0) != (sk_)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl4, zip_derived_cl0])).
% 4.31/1.19 thf(zip_derived_cl3, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_1 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.31/1.19 thf(zip_derived_cl188, plain, (![X0 : $i]: (((X0) != (sk_)) | (r1 @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl177, zip_derived_cl3])).
% 4.31/1.19 thf(zip_derived_cl353, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) != (sk_))),
% 4.31/1.19 inference('sup+', [status(thm)], [zip_derived_cl289, zip_derived_cl188])).
% 4.31/1.19 thf(zip_derived_cl287, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__1 @ X1) @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl273, zip_derived_cl240])).
% 4.31/1.19 thf(zip_derived_cl694, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__2 @ (sk__1 @ X1) @ X0) != (sk_))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl353, zip_derived_cl287])).
% 4.31/1.19 thf(zip_derived_cl1664, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__2 @ X1 @ X0) = (sk__17 @ (sk__2 @ (sk__1 @ X1) @ X0)))),
% 4.31/1.19 inference('simplify_reflect-', [status(thm)],
% 4.31/1.19 [zip_derived_cl1663, zip_derived_cl694])).
% 4.31/1.19 thf(zip_derived_cl753, plain,
% 4.31/1.19 (![X0 : $i]: (((X0) = (sk_)) | ((X0) = (sk__1 @ (sk__17 @ X0))))),
% 4.31/1.19 inference('simplify', [status(thm)], [zip_derived_cl743])).
% 4.31/1.19 thf(zip_derived_cl1969, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 (((sk__2 @ (sk__1 @ X1) @ X0) = (sk__1 @ (sk__2 @ X1 @ X0)))
% 4.31/1.19 | ((sk__2 @ (sk__1 @ X1) @ X0) = (sk_)))),
% 4.31/1.19 inference('sup+', [status(thm)], [zip_derived_cl1664, zip_derived_cl753])).
% 4.31/1.19 thf(zip_derived_cl694, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__2 @ (sk__1 @ X1) @ X0) != (sk_))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl353, zip_derived_cl287])).
% 4.31/1.19 thf(zip_derived_cl1989, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__2 @ (sk__1 @ X1) @ X0) = (sk__1 @ (sk__2 @ X1 @ X0)))),
% 4.31/1.19 inference('simplify_reflect-', [status(thm)],
% 4.31/1.19 [zip_derived_cl1969, zip_derived_cl694])).
% 4.31/1.19 thf(axiom_5a, axiom,
% 4.31/1.19 (![X5:$i]:
% 4.31/1.19 ( ?[Y8:$i]:
% 4.31/1.19 ( ( ?[Y18:$i]: ( ( ( Y8 ) = ( Y18 ) ) & ( r1 @ Y18 ) ) ) &
% 4.31/1.19 ( ?[Y17:$i]: ( ( r4 @ X5 @ Y17 @ Y8 ) & ( r1 @ Y17 ) ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl34, plain,
% 4.31/1.19 (![X0 : $i]: (r4 @ X0 @ (sk__16 @ X0) @ (sk__14 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_5a])).
% 4.31/1.19 thf(axiom_4, axiom,
% 4.31/1.19 (![X16:$i,X17:$i]:
% 4.31/1.19 ( ?[Y23:$i]:
% 4.31/1.19 ( ![X18:$i]:
% 4.31/1.19 ( ( ( ~( r4 @ X16 @ X17 @ X18 ) ) & ( ( X18 ) != ( Y23 ) ) ) |
% 4.31/1.19 ( ( r4 @ X16 @ X17 @ X18 ) & ( ( X18 ) = ( Y23 ) ) ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_20, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_21, axiom,
% 4.31/1.19 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 4.31/1.19 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) =>
% 4.31/1.19 ( ( ( X18 ) = ( Y23 ) ) & ( r4 @ X16 @ X17 @ X18 ) ) ))).
% 4.31/1.19 thf(zf_stmt_22, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 4.31/1.19 thf(zf_stmt_23, axiom,
% 4.31/1.19 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 4.31/1.19 ( ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) =>
% 4.31/1.19 ( ( ( X18 ) != ( Y23 ) ) & ( ~( r4 @ X16 @ X17 @ X18 ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_24, axiom,
% 4.31/1.19 (![X16:$i,X17:$i]:
% 4.31/1.19 ( ?[Y23:$i]:
% 4.31/1.19 ( ![X18:$i]:
% 4.31/1.19 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) |
% 4.31/1.19 ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl19, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 ( (zip_tseitin_7 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2)
% 4.31/1.19 | (zip_tseitin_6 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_24])).
% 4.31/1.19 thf(zip_derived_cl16, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.31/1.19 (~ (r4 @ X0 @ X1 @ X2) | ~ (zip_tseitin_6 @ X2 @ X3 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_23])).
% 4.31/1.19 thf(zip_derived_cl186, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 ( (zip_tseitin_7 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 4.31/1.19 | ~ (r4 @ X0 @ X1 @ X2))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl19, zip_derived_cl16])).
% 4.31/1.19 thf(zip_derived_cl17, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.31/1.19 (((X1) = (X0)) | ~ (zip_tseitin_7 @ X1 @ X0 @ X2 @ X3))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_21])).
% 4.31/1.19 thf(zip_derived_cl205, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl186, zip_derived_cl17])).
% 4.31/1.19 thf(zip_derived_cl217, plain,
% 4.31/1.19 (![X0 : $i]: ((sk__14 @ X0) = (sk__3 @ (sk__16 @ X0) @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl34, zip_derived_cl205])).
% 4.31/1.19 thf(zip_derived_cl37, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_5a])).
% 4.31/1.19 thf(zip_derived_cl36, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk__15 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_5a])).
% 4.31/1.19 thf(zip_derived_cl232, plain, (![X0 : $i]: (r1 @ (sk__14 @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl36])).
% 4.31/1.19 thf(zip_derived_cl189, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl178, zip_derived_cl2])).
% 4.31/1.19 thf(zip_derived_cl233, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk_))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl232, zip_derived_cl189])).
% 4.31/1.19 thf(zip_derived_cl35, plain, (![X0 : $i]: (r1 @ (sk__16 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_5a])).
% 4.31/1.19 thf(zip_derived_cl189, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl178, zip_derived_cl2])).
% 4.31/1.19 thf(zip_derived_cl228, plain, (![X0 : $i]: ((sk__16 @ X0) = (sk_))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl189])).
% 4.31/1.19 thf(zip_derived_cl272, plain, (![X0 : $i]: ((sk_) = (sk__3 @ sk_ @ X0))),
% 4.31/1.19 inference('demod', [status(thm)],
% 4.31/1.19 [zip_derived_cl217, zip_derived_cl233, zip_derived_cl228])).
% 4.31/1.19 thf(zip_derived_cl21, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_1a])).
% 4.31/1.19 thf(zip_derived_cl240, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 4.31/1.19 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl21])).
% 4.31/1.19 thf(zip_derived_cl284, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl240])).
% 4.31/1.19 thf(zip_derived_cl284, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl240])).
% 4.31/1.19 thf(zip_derived_cl196, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl181, zip_derived_cl8])).
% 4.31/1.19 thf(zip_derived_cl196, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl181, zip_derived_cl8])).
% 4.31/1.19 thf(axiom_2a, axiom,
% 4.31/1.19 (![X2:$i,X9:$i]:
% 4.31/1.19 ( ?[Y2:$i]:
% 4.31/1.19 ( ( ?[Y6:$i]: ( ( r4 @ X2 @ X9 @ Y6 ) & ( r3 @ Y6 @ X2 @ Y2 ) ) ) &
% 4.31/1.19 ( ?[Y3:$i]:
% 4.31/1.19 ( ( ( Y3 ) = ( Y2 ) ) &
% 4.31/1.19 ( ?[Y14:$i]: ( ( r4 @ X2 @ Y14 @ Y3 ) & ( r2 @ X9 @ Y14 ) ) ) ) ) ) ))).
% 4.31/1.19 thf(zip_derived_cl28, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r4 @ X0 @ X1 @ (sk__9 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_2a])).
% 4.31/1.19 thf(onetimestwoeqtwo, conjecture,
% 4.31/1.19 (?[Y1:$i]:
% 4.31/1.19 ( ( ?[Y3:$i]:
% 4.31/1.19 ( ( ?[Y6:$i]:
% 4.31/1.19 ( ( ?[Y9:$i]: ( ( r2 @ Y9 @ Y6 ) & ( r1 @ Y9 ) ) ) &
% 4.31/1.19 ( r2 @ Y6 @ Y3 ) ) ) &
% 4.31/1.19 ( ( Y1 ) = ( Y3 ) ) ) ) &
% 4.31/1.19 ( ?[Y2:$i]:
% 4.31/1.19 ( ( ?[Y5:$i]:
% 4.31/1.19 ( ( ?[Y8:$i]: ( ( r2 @ Y8 @ Y5 ) & ( r1 @ Y8 ) ) ) &
% 4.31/1.19 ( r4 @ Y5 @ Y2 @ Y1 ) ) ) &
% 4.31/1.19 ( ?[Y4:$i]:
% 4.31/1.19 ( ( ?[Y7:$i]: ( ( r2 @ Y7 @ Y4 ) & ( r1 @ Y7 ) ) ) &
% 4.31/1.19 ( r2 @ Y4 @ Y2 ) ) ) ) ) ))).
% 4.31/1.19 thf(zf_stmt_25, negated_conjecture,
% 4.31/1.19 (~( ?[Y1:$i]:
% 4.31/1.19 ( ( ?[Y3:$i]:
% 4.31/1.19 ( ( ?[Y6:$i]:
% 4.31/1.19 ( ( ?[Y9:$i]: ( ( r2 @ Y9 @ Y6 ) & ( r1 @ Y9 ) ) ) &
% 4.31/1.19 ( r2 @ Y6 @ Y3 ) ) ) &
% 4.31/1.19 ( ( Y1 ) = ( Y3 ) ) ) ) &
% 4.31/1.19 ( ?[Y2:$i]:
% 4.31/1.19 ( ( ?[Y5:$i]:
% 4.31/1.19 ( ( ?[Y8:$i]: ( ( r2 @ Y8 @ Y5 ) & ( r1 @ Y8 ) ) ) &
% 4.31/1.19 ( r4 @ Y5 @ Y2 @ Y1 ) ) ) &
% 4.31/1.19 ( ?[Y4:$i]:
% 4.31/1.19 ( ( ?[Y7:$i]: ( ( r2 @ Y7 @ Y4 ) & ( r1 @ Y7 ) ) ) &
% 4.31/1.19 ( r2 @ Y4 @ Y2 ) ) ) ) ) ) )),
% 4.31/1.19 inference('cnf.neg', [status(esa)], [onetimestwoeqtwo])).
% 4.31/1.19 thf(zip_derived_cl44, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 4.31/1.19 X7 : $i, X8 : $i]:
% 4.31/1.19 (((X1) != (X0))
% 4.31/1.19 | ~ (r1 @ X2)
% 4.31/1.19 | ~ (r2 @ X2 @ X3)
% 4.31/1.19 | ~ (r2 @ X3 @ X0)
% 4.31/1.19 | ~ (r1 @ X4)
% 4.31/1.19 | ~ (r2 @ X4 @ X5)
% 4.31/1.19 | ~ (r2 @ X5 @ X6)
% 4.31/1.19 | ~ (r1 @ X7)
% 4.31/1.19 | ~ (r2 @ X7 @ X8)
% 4.31/1.19 | ~ (r4 @ X8 @ X6 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [zf_stmt_25])).
% 4.31/1.19 thf(zip_derived_cl214, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 4.31/1.19 (~ (r2 @ X7 @ X0)
% 4.31/1.19 | ~ (r1 @ X7)
% 4.31/1.19 | ~ (r2 @ X6 @ X1)
% 4.31/1.19 | ~ (r2 @ X5 @ X6)
% 4.31/1.19 | ~ (r1 @ X5)
% 4.31/1.19 | ~ (r2 @ X4 @ X2)
% 4.31/1.19 | ~ (r2 @ X3 @ X4)
% 4.31/1.19 | ~ (r1 @ X3)
% 4.31/1.19 | ((sk__9 @ X1 @ X0) != (X2)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl28, zip_derived_cl44])).
% 4.31/1.19 thf(zip_derived_cl28, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r4 @ X0 @ X1 @ (sk__9 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_2a])).
% 4.31/1.19 thf(zip_derived_cl205, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl186, zip_derived_cl17])).
% 4.31/1.19 thf(zip_derived_cl215, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__9 @ X1 @ X0) = (sk__3 @ X1 @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl28, zip_derived_cl205])).
% 4.31/1.19 thf(zip_derived_cl293, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 4.31/1.19 (~ (r2 @ X7 @ X0)
% 4.31/1.19 | ~ (r1 @ X7)
% 4.31/1.19 | ~ (r2 @ X6 @ X1)
% 4.31/1.19 | ~ (r2 @ X5 @ X6)
% 4.31/1.19 | ~ (r1 @ X5)
% 4.31/1.19 | ~ (r2 @ X4 @ X2)
% 4.31/1.19 | ~ (r2 @ X3 @ X4)
% 4.31/1.19 | ~ (r1 @ X3)
% 4.31/1.19 | ((sk__3 @ X1 @ X0) != (X2)))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl214, zip_derived_cl215])).
% 4.31/1.19 thf(zip_derived_cl302, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.31/1.19 (((sk__3 @ X2 @ X0) != (X3))
% 4.31/1.19 | ~ (r1 @ X1)
% 4.31/1.19 | ~ (r2 @ X1 @ X0)
% 4.31/1.19 | ~ (r2 @ X0 @ X3)
% 4.31/1.19 | ~ (r1 @ X4)
% 4.31/1.19 | ~ (r2 @ X4 @ X5)
% 4.31/1.19 | ~ (r2 @ X5 @ X2)
% 4.31/1.19 | ~ (r1 @ X1))),
% 4.31/1.19 inference('eq_fact', [status(thm)], [zip_derived_cl293])).
% 4.31/1.19 thf(zip_derived_cl304, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.31/1.19 (~ (r2 @ X5 @ X2)
% 4.31/1.19 | ~ (r2 @ X4 @ X5)
% 4.31/1.19 | ~ (r1 @ X4)
% 4.31/1.19 | ~ (r2 @ X0 @ X3)
% 4.31/1.19 | ~ (r2 @ X1 @ X0)
% 4.31/1.19 | ~ (r1 @ X1)
% 4.31/1.19 | ((sk__3 @ X2 @ X0) != (X3)))),
% 4.31/1.19 inference('simplify', [status(thm)], [zip_derived_cl302])).
% 4.31/1.19 thf(zip_derived_cl481, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.31/1.19 (((X0) != (sk__1 @ X1))
% 4.31/1.19 | ((sk__3 @ X0 @ X2) != (X3))
% 4.31/1.19 | ~ (r1 @ X4)
% 4.31/1.19 | ~ (r2 @ X4 @ X2)
% 4.31/1.19 | ~ (r2 @ X2 @ X3)
% 4.31/1.19 | ~ (r1 @ X5)
% 4.31/1.19 | ~ (r2 @ X5 @ X1))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl304])).
% 4.31/1.19 thf(zip_derived_cl599, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.31/1.19 (((X0) != (sk__1 @ X1))
% 4.31/1.19 | ~ (r2 @ X3 @ X2)
% 4.31/1.19 | ~ (r1 @ X3)
% 4.31/1.19 | ~ (r2 @ X0 @ X4)
% 4.31/1.19 | ~ (r1 @ X1)
% 4.31/1.19 | ((sk__3 @ X5 @ X0) != (X4))
% 4.31/1.19 | ((X5) != (sk__1 @ X2)))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl196, zip_derived_cl481])).
% 4.31/1.19 thf(zip_derived_cl2109, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.31/1.19 (((X1) != (sk__1 @ (sk__1 @ X0)))
% 4.31/1.19 | ((sk__3 @ X1 @ X2) != (X3))
% 4.31/1.19 | ~ (r1 @ X4)
% 4.31/1.19 | ~ (r2 @ X2 @ X3)
% 4.31/1.19 | ~ (r1 @ X0)
% 4.31/1.19 | ((X2) != (sk__1 @ X4)))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl599])).
% 4.31/1.19 thf(zip_derived_cl2159, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.31/1.19 (((X0) != (sk__1 @ X1))
% 4.31/1.19 | ~ (r1 @ X2)
% 4.31/1.19 | ~ (r1 @ X1)
% 4.31/1.19 | ((sk__3 @ X3 @ X0) != (sk__1 @ X0))
% 4.31/1.19 | ((X3) != (sk__1 @ (sk__1 @ X2))))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl2109])).
% 4.31/1.19 thf(zip_derived_cl2166, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((sk__3 @ (sk__1 @ (sk__1 @ X1)) @ X0) != (sk__1 @ X0))
% 4.31/1.19 | ~ (r1 @ X2)
% 4.31/1.19 | ~ (r1 @ X1)
% 4.31/1.19 | ((X0) != (sk__1 @ X2)))),
% 4.31/1.19 inference('eq_res', [status(thm)], [zip_derived_cl2159])).
% 4.31/1.19 thf(zip_derived_cl27, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 (r4 @ X0 @ (sk__11 @ X1 @ X0) @ (sk__10 @ X1 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_2a])).
% 4.31/1.19 thf(zip_derived_cl205, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl186, zip_derived_cl17])).
% 4.31/1.19 thf(zip_derived_cl213, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__10 @ X1 @ X0) = (sk__3 @ (sk__11 @ X1 @ X0) @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl27, zip_derived_cl205])).
% 4.31/1.19 thf(zip_derived_cl25, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__10 @ X0 @ X1) = (sk__8 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_2a])).
% 4.31/1.19 thf(zip_derived_cl29, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r3 @ (sk__9 @ X0 @ X1) @ X1 @ (sk__8 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_2a])).
% 4.31/1.19 thf(zip_derived_cl201, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl184, zip_derived_cl12])).
% 4.31/1.19 thf(zip_derived_cl209, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__8 @ X1 @ X0) = (sk__2 @ X0 @ (sk__9 @ X1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl29, zip_derived_cl201])).
% 4.31/1.19 thf(zip_derived_cl215, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__9 @ X1 @ X0) = (sk__3 @ X1 @ X0))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl28, zip_derived_cl205])).
% 4.31/1.19 thf(zip_derived_cl274, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__8 @ X1 @ X0) = (sk__2 @ X0 @ (sk__3 @ X1 @ X0)))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl215])).
% 4.31/1.19 thf(zip_derived_cl275, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__10 @ X0 @ X1) = (sk__2 @ X1 @ (sk__3 @ X0 @ X1)))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl274])).
% 4.31/1.19 thf(zip_derived_cl276, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__2 @ X0 @ (sk__3 @ X1 @ X0)) = (sk__3 @ (sk__11 @ X1 @ X0) @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl275])).
% 4.31/1.19 thf(zip_derived_cl26, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__11 @ X0 @ X1))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_2a])).
% 4.31/1.19 thf(zip_derived_cl197, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl182, zip_derived_cl7])).
% 4.31/1.19 thf(zip_derived_cl255, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]: ((sk__11 @ X1 @ X0) = (sk__1 @ X1))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl197])).
% 4.31/1.19 thf(zip_derived_cl370, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__2 @ X0 @ (sk__3 @ X1 @ X0)) = (sk__3 @ (sk__1 @ X1) @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl255])).
% 4.31/1.19 thf(zip_derived_cl370, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__2 @ X0 @ (sk__3 @ X1 @ X0)) = (sk__3 @ (sk__1 @ X1) @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl276, zip_derived_cl255])).
% 4.31/1.19 thf(zip_derived_cl2167, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.31/1.19 (((sk__2 @ X0 @ (sk__2 @ X0 @ (sk__3 @ X1 @ X0))) != (sk__1 @ X0))
% 4.31/1.19 | ~ (r1 @ X2)
% 4.31/1.19 | ~ (r1 @ X1)
% 4.31/1.19 | ((X0) != (sk__1 @ X2)))),
% 4.31/1.19 inference('demod', [status(thm)],
% 4.31/1.19 [zip_derived_cl2166, zip_derived_cl370, zip_derived_cl370])).
% 4.31/1.19 thf(zip_derived_cl2172, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 (((sk__2 @ X0 @ (sk__2 @ X0 @ sk_)) != (sk__1 @ X0))
% 4.31/1.19 | ((X0) != (sk__1 @ X1))
% 4.31/1.19 | ~ (r1 @ sk_)
% 4.31/1.19 | ~ (r1 @ X1))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl272, zip_derived_cl2167])).
% 4.31/1.19 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 4.31/1.19 inference('cnf', [status(esa)], [axiom_4a])).
% 4.31/1.19 thf(zip_derived_cl222, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl189])).
% 4.31/1.19 thf(zip_derived_cl224, plain, ( (r1 @ sk_)),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl222])).
% 4.31/1.19 thf(zip_derived_cl2178, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 (((sk__2 @ X0 @ (sk__2 @ X0 @ sk_)) != (sk__1 @ X0))
% 4.31/1.19 | ((X0) != (sk__1 @ X1))
% 4.31/1.19 | ~ (r1 @ X1))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl2172, zip_derived_cl224])).
% 4.31/1.19 thf(zip_derived_cl2187, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 (((sk__1 @ (sk__2 @ X0 @ (sk__2 @ (sk__1 @ X0) @ sk_)))
% 4.31/1.19 != (sk__1 @ (sk__1 @ X0)))
% 4.31/1.19 | ~ (r1 @ X1)
% 4.31/1.19 | ((sk__1 @ X0) != (sk__1 @ X1)))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl1989, zip_derived_cl2178])).
% 4.31/1.19 thf(zip_derived_cl1989, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 ((sk__2 @ (sk__1 @ X1) @ X0) = (sk__1 @ (sk__2 @ X1 @ X0)))),
% 4.31/1.19 inference('simplify_reflect-', [status(thm)],
% 4.31/1.19 [zip_derived_cl1969, zip_derived_cl694])).
% 4.31/1.19 thf(zip_derived_cl2191, plain,
% 4.31/1.19 (![X0 : $i, X1 : $i]:
% 4.31/1.19 (((sk__1 @ (sk__2 @ X0 @ (sk__1 @ (sk__2 @ X0 @ sk_))))
% 4.31/1.19 != (sk__1 @ (sk__1 @ X0)))
% 4.31/1.19 | ~ (r1 @ X1)
% 4.31/1.19 | ((sk__1 @ X0) != (sk__1 @ X1)))),
% 4.31/1.19 inference('demod', [status(thm)],
% 4.31/1.19 [zip_derived_cl2187, zip_derived_cl1989])).
% 4.31/1.19 thf(zip_derived_cl2207, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 (((sk__1 @ (sk__1 @ (sk__2 @ sk_ @ sk_))) != (sk__1 @ (sk__1 @ sk_)))
% 4.31/1.19 | ((sk__1 @ sk_) != (sk__1 @ X0))
% 4.31/1.19 | ~ (r1 @ X0))),
% 4.31/1.19 inference('sup-', [status(thm)], [zip_derived_cl264, zip_derived_cl2191])).
% 4.31/1.19 thf(zip_derived_cl264, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 4.31/1.19 inference('demod', [status(thm)],
% 4.31/1.19 [zip_derived_cl210, zip_derived_cl33, zip_derived_cl222])).
% 4.31/1.19 thf(zip_derived_cl2211, plain,
% 4.31/1.19 (![X0 : $i]:
% 4.31/1.19 (((sk__1 @ (sk__1 @ sk_)) != (sk__1 @ (sk__1 @ sk_)))
% 4.31/1.19 | ((sk__1 @ sk_) != (sk__1 @ X0))
% 4.31/1.19 | ~ (r1 @ X0))),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl2207, zip_derived_cl264])).
% 4.31/1.19 thf(zip_derived_cl2212, plain,
% 4.31/1.19 (![X0 : $i]: (~ (r1 @ X0) | ((sk__1 @ sk_) != (sk__1 @ X0)))),
% 4.31/1.19 inference('simplify', [status(thm)], [zip_derived_cl2211])).
% 4.31/1.19 thf(zip_derived_cl189, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 4.31/1.19 inference('dp-resolution', [status(thm)],
% 4.31/1.19 [zip_derived_cl178, zip_derived_cl2])).
% 4.31/1.19 thf(zip_derived_cl2217, plain, (![X0 : $i]: ~ (r1 @ X0)),
% 4.31/1.19 inference('clc', [status(thm)], [zip_derived_cl2212, zip_derived_cl189])).
% 4.31/1.19 thf(zip_derived_cl224, plain, ( (r1 @ sk_)),
% 4.31/1.19 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl222])).
% 4.31/1.19 thf(zip_derived_cl2232, plain, ($false),
% 4.31/1.19 inference('sup+', [status(thm)], [zip_derived_cl2217, zip_derived_cl224])).
% 4.31/1.19
% 4.31/1.19 % SZS output end Refutation
% 4.31/1.19
% 4.31/1.19
% 4.31/1.19 % Terminating...
% 4.51/1.23 % Runner terminated.
% 4.51/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------