%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN058+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.NULhl7Ubr4 true
% Computer : n027.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 04:48:54 PM UTC 2025
% Result : Theorem 84.57s 12.73s
% Output : Refutation 84.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUN058+2 : TPTP v9.2.0. Released v7.3.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NULhl7Ubr4 true
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 12:12:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 84.57/12.73 % Solved by fo/fo6_bce.sh.
% 84.57/12.73 % BCE start: 45
% 84.57/12.73 % BCE eliminated: 0
% 84.57/12.73 % PE start: 45
% 84.57/12.73 logic: eq
% 84.57/12.73 % PE eliminated: 13
% 84.57/12.73 % done 6080 iterations in 11.969s
% 84.57/12.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 84.57/12.73 % SZS output start Refutation
% 84.57/12.73 thf(r3_type, type, r3: $i > $i > $i > $o).
% 84.57/12.73 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 84.57/12.73 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 84.57/12.73 thf(sk__9_type, type, sk__9: $i > $i > $i).
% 84.57/12.73 thf(sk__1_type, type, sk__1: $i > $i).
% 84.57/12.73 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 84.57/12.73 thf(sk__16_type, type, sk__16: $i > $i).
% 84.57/12.73 thf(r2_type, type, r2: $i > $i > $o).
% 84.57/12.73 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 84.57/12.73 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 84.57/12.73 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 84.57/12.73 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 84.57/12.73 thf(r1_type, type, r1: $i > $o).
% 84.57/12.73 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 84.57/12.73 thf(sk__10_type, type, sk__10: $i > $i > $i).
% 84.57/12.73 thf(sk__3_type, type, sk__3: $i > $i > $i).
% 84.57/12.73 thf(sk__12_type, type, sk__12: $i > $i).
% 84.57/12.73 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 84.57/12.73 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 84.57/12.73 thf(sk__11_type, type, sk__11: $i > $i > $i).
% 84.57/12.73 thf(sk__14_type, type, sk__14: $i > $i).
% 84.57/12.73 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 84.57/12.73 thf(sk__15_type, type, sk__15: $i > $i).
% 84.57/12.73 thf(sk__6_type, type, sk__6: $i > $i > $i).
% 84.57/12.73 thf(sk__type, type, sk_: $i).
% 84.57/12.73 thf(sk__2_type, type, sk__2: $i > $i > $i).
% 84.57/12.73 thf(sk__8_type, type, sk__8: $i > $i > $i).
% 84.57/12.73 thf(r4_type, type, r4: $i > $i > $i > $o).
% 84.57/12.73 thf(sk__13_type, type, sk__13: $i > $i).
% 84.57/12.73 thf(axiom_2, axiom,
% 84.57/12.73 (![X11:$i]:
% 84.57/12.73 ( ?[Y21:$i]:
% 84.57/12.73 ( ![X12:$i]:
% 84.57/12.73 ( ( ( ~( r2 @ X11 @ X12 ) ) & ( ( X12 ) != ( Y21 ) ) ) |
% 84.57/12.73 ( ( r2 @ X11 @ X12 ) & ( ( X12 ) = ( Y21 ) ) ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_0, type, zip_tseitin_3 : $i > $i > $i > $o).
% 84.57/12.73 thf(zf_stmt_1, axiom,
% 84.57/12.73 (![X12:$i,Y21:$i,X11:$i]:
% 84.57/12.73 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) =>
% 84.57/12.73 ( ( ( X12 ) = ( Y21 ) ) & ( r2 @ X11 @ X12 ) ) ))).
% 84.57/12.73 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $i > $o).
% 84.57/12.73 thf(zf_stmt_3, axiom,
% 84.57/12.73 (![X12:$i,Y21:$i,X11:$i]:
% 84.57/12.73 ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) =>
% 84.57/12.73 ( ( ( X12 ) != ( Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_4, axiom,
% 84.57/12.73 (![X11:$i]:
% 84.57/12.73 ( ?[Y21:$i]:
% 84.57/12.73 ( ![X12:$i]:
% 84.57/12.73 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) |
% 84.57/12.73 ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ) ))).
% 84.57/12.73 thf(zip_derived_cl9, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 84.57/12.73 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 84.57/12.73 thf(zip_derived_cl5, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X1) != (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_3])).
% 84.57/12.73 thf(zip_derived_cl185, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ((X1) != (sk__1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl9, zip_derived_cl5])).
% 84.57/12.73 thf(zip_derived_cl8, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 84.57/12.73 thf(zip_derived_cl200, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl185, zip_derived_cl8])).
% 84.57/12.73 thf(zip_derived_cl248, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl200])).
% 84.57/12.73 thf(zip_derived_cl248, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl200])).
% 84.57/12.73 thf(zip_derived_cl248, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl200])).
% 84.57/12.73 thf(zip_derived_cl248, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl200])).
% 84.57/12.73 thf(axiom_4a, axiom,
% 84.57/12.73 (![X4:$i]:
% 84.57/12.73 ( ?[Y9:$i]:
% 84.57/12.73 ( ( ( Y9 ) = ( X4 ) ) &
% 84.57/12.73 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 84.57/12.73 thf(zip_derived_cl31, plain,
% 84.57/12.73 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_4a])).
% 84.57/12.73 thf(axiom_1, axiom,
% 84.57/12.73 (?[Y24:$i]:
% 84.57/12.73 ( ![X19:$i]:
% 84.57/12.73 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 84.57/12.73 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_5, type, zip_tseitin_1 : $i > $i > $o).
% 84.57/12.73 thf(zf_stmt_6, axiom,
% 84.57/12.73 (![X19:$i,Y24:$i]:
% 84.57/12.73 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 84.57/12.73 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 84.57/12.73 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $o).
% 84.57/12.73 thf(zf_stmt_8, axiom,
% 84.57/12.73 (![X19:$i,Y24:$i]:
% 84.57/12.73 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 84.57/12.73 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_9, axiom,
% 84.57/12.73 (?[Y24:$i]:
% 84.57/12.73 ( ![X19:$i]:
% 84.57/12.73 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 84.57/12.73 thf(zip_derived_cl4, plain,
% 84.57/12.73 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_9])).
% 84.57/12.73 thf(zip_derived_cl1, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_8])).
% 84.57/12.73 thf(zip_derived_cl182, plain,
% 84.57/12.73 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl4, zip_derived_cl1])).
% 84.57/12.73 thf(zip_derived_cl2, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_6])).
% 84.57/12.73 thf(zip_derived_cl193, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl182, zip_derived_cl2])).
% 84.57/12.73 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_4a])).
% 84.57/12.73 thf(zip_derived_cl220, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl32])).
% 84.57/12.73 thf(zip_derived_cl33, plain, (![X0 : $i]: ((sk__12 @ X0) = (X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_4a])).
% 84.57/12.73 thf(zip_derived_cl260, plain, (![X0 : $i]: (r3 @ X0 @ sk_ @ X0)),
% 84.57/12.73 inference('demod', [status(thm)],
% 84.57/12.73 [zip_derived_cl31, zip_derived_cl220, zip_derived_cl33])).
% 84.57/12.73 thf(axiom_3, axiom,
% 84.57/12.73 (![X13:$i,X14:$i]:
% 84.57/12.73 ( ?[Y22:$i]:
% 84.57/12.73 ( ![X15:$i]:
% 84.57/12.73 ( ( ( ~( r3 @ X13 @ X14 @ X15 ) ) & ( ( X15 ) != ( Y22 ) ) ) |
% 84.57/12.73 ( ( r3 @ X13 @ X14 @ X15 ) & ( ( X15 ) = ( Y22 ) ) ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_10, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 84.57/12.73 thf(zf_stmt_11, axiom,
% 84.57/12.73 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 84.57/12.73 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) =>
% 84.57/12.73 ( ( ( X15 ) = ( Y22 ) ) & ( r3 @ X13 @ X14 @ X15 ) ) ))).
% 84.57/12.73 thf(zf_stmt_12, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 84.57/12.73 thf(zf_stmt_13, axiom,
% 84.57/12.73 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 84.57/12.73 ( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) =>
% 84.57/12.73 ( ( ( X15 ) != ( Y22 ) ) & ( ~( r3 @ X13 @ X14 @ X15 ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_14, axiom,
% 84.57/12.73 (![X13:$i,X14:$i]:
% 84.57/12.73 ( ?[Y22:$i]:
% 84.57/12.73 ( ![X15:$i]:
% 84.57/12.73 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) |
% 84.57/12.73 ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ) ))).
% 84.57/12.73 thf(zip_derived_cl14, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (zip_tseitin_5 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2)
% 84.57/12.73 | (zip_tseitin_4 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_14])).
% 84.57/12.73 thf(zip_derived_cl11, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (~ (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_4 @ X2 @ X3 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_13])).
% 84.57/12.73 thf(zip_derived_cl188, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (zip_tseitin_5 @ X2 @ (sk__2 @ X1 @ X0) @ X1 @ X0)
% 84.57/12.73 | ~ (r3 @ X0 @ X1 @ X2))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl14, zip_derived_cl11])).
% 84.57/12.73 thf(zip_derived_cl12, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_11])).
% 84.57/12.73 thf(zip_derived_cl205, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl188, zip_derived_cl12])).
% 84.57/12.73 thf(zip_derived_cl269, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl205])).
% 84.57/12.73 thf(axiom_1a, axiom,
% 84.57/12.73 (![X1:$i,X8:$i]:
% 84.57/12.73 ( ?[Y4:$i]:
% 84.57/12.73 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 84.57/12.73 ( ?[Y5:$i]:
% 84.57/12.73 ( ( ( Y5 ) = ( Y4 ) ) &
% 84.57/12.73 ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) ) ) ) ))).
% 84.57/12.73 thf(zip_derived_cl24, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r2 @ (sk__5 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_1a])).
% 84.57/12.73 thf(zip_derived_cl23, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_1a])).
% 84.57/12.73 thf(zip_derived_cl205, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl188, zip_derived_cl12])).
% 84.57/12.73 thf(zip_derived_cl268, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__5 @ X1 @ X0) = (sk__2 @ X1 @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl457, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl268])).
% 84.57/12.73 thf(zip_derived_cl517, plain, (![X0 : $i]: (r2 @ X0 @ (sk__4 @ sk_ @ X0))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl269, zip_derived_cl457])).
% 84.57/12.73 thf(zip_derived_cl9, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 84.57/12.73 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_4])).
% 84.57/12.73 thf(zip_derived_cl6, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r2 @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_3])).
% 84.57/12.73 thf(zip_derived_cl186, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ~ (r2 @ X0 @ X1))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl9, zip_derived_cl6])).
% 84.57/12.73 thf(zip_derived_cl7, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X1) = (X0)) | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 84.57/12.73 thf(zip_derived_cl201, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl186, zip_derived_cl7])).
% 84.57/12.73 thf(zip_derived_cl531, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__4 @ sk_ @ X0) = (sk__1 @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl22, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__7 @ X1 @ X0) @ (sk__6 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_1a])).
% 84.57/12.73 thf(zip_derived_cl20, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__6 @ X0 @ X1) = (sk__4 @ X0 @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_1a])).
% 84.57/12.73 thf(zip_derived_cl230, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__7 @ X1 @ X0) @ (sk__4 @ X1 @ X0))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl20])).
% 84.57/12.73 thf(zip_derived_cl21, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_1a])).
% 84.57/12.73 thf(zip_derived_cl201, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl186, zip_derived_cl7])).
% 84.57/12.73 thf(zip_derived_cl249, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl371, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__1 @ X1) @ (sk__4 @ X1 @ X0))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl249])).
% 84.57/12.73 thf(zip_derived_cl546, plain,
% 84.57/12.73 (![X0 : $i]: (r3 @ X0 @ (sk__1 @ sk_) @ (sk__1 @ X0))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl531, zip_derived_cl371])).
% 84.57/12.73 thf(zip_derived_cl205, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl188, zip_derived_cl12])).
% 84.57/12.73 thf(zip_derived_cl578, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__1 @ X0) = (sk__2 @ (sk__1 @ sk_) @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl546, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl457, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl268])).
% 84.57/12.73 thf(zip_derived_cl201, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl186, zip_derived_cl7])).
% 84.57/12.73 thf(zip_derived_cl511, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__1 @ (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl720, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__4 @ (sk__1 @ sk_) @ X0) = (sk__1 @ (sk__1 @ X0)))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl578, zip_derived_cl511])).
% 84.57/12.73 thf(zip_derived_cl371, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__1 @ X1) @ (sk__4 @ X1 @ X0))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl249])).
% 84.57/12.73 thf(zip_derived_cl205, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl188, zip_derived_cl12])).
% 84.57/12.73 thf(zip_derived_cl442, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__1 @ X1) @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl511, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__1 @ (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl719, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ((sk__4 @ (sk__1 @ X1) @ X0) = (sk__1 @ (sk__4 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl511])).
% 84.57/12.73 thf(zip_derived_cl442, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__1 @ X1) @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl205])).
% 84.57/12.73 thf(axiom_5a, axiom,
% 84.57/12.73 (![X5:$i]:
% 84.57/12.73 ( ?[Y8:$i]:
% 84.57/12.73 ( ( ?[Y18:$i]: ( ( ( Y8 ) = ( Y18 ) ) & ( r1 @ Y18 ) ) ) &
% 84.57/12.73 ( ?[Y17:$i]: ( ( r4 @ X5 @ Y17 @ Y8 ) & ( r1 @ Y17 ) ) ) ) ))).
% 84.57/12.73 thf(zip_derived_cl34, plain,
% 84.57/12.73 (![X0 : $i]: (r4 @ X0 @ (sk__16 @ X0) @ (sk__14 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_5a])).
% 84.57/12.73 thf(zip_derived_cl35, plain, (![X0 : $i]: (r1 @ (sk__16 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_5a])).
% 84.57/12.73 thf(zip_derived_cl193, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl182, zip_derived_cl2])).
% 84.57/12.73 thf(zip_derived_cl226, plain, (![X0 : $i]: ((sk__16 @ X0) = (sk_))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl193])).
% 84.57/12.73 thf(zip_derived_cl37, plain, (![X0 : $i]: (r1 @ (sk__15 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_5a])).
% 84.57/12.73 thf(zip_derived_cl36, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk__15 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_5a])).
% 84.57/12.73 thf(zip_derived_cl234, plain, (![X0 : $i]: (r1 @ (sk__14 @ X0))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl36])).
% 84.57/12.73 thf(zip_derived_cl193, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl182, zip_derived_cl2])).
% 84.57/12.73 thf(zip_derived_cl236, plain, (![X0 : $i]: ((sk__14 @ X0) = (sk_))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl193])).
% 84.57/12.73 thf(zip_derived_cl261, plain, (![X0 : $i]: (r4 @ X0 @ sk_ @ sk_)),
% 84.57/12.73 inference('demod', [status(thm)],
% 84.57/12.73 [zip_derived_cl34, zip_derived_cl226, zip_derived_cl236])).
% 84.57/12.73 thf(axiom_4, axiom,
% 84.57/12.73 (![X16:$i,X17:$i]:
% 84.57/12.73 ( ?[Y23:$i]:
% 84.57/12.73 ( ![X18:$i]:
% 84.57/12.73 ( ( ( ~( r4 @ X16 @ X17 @ X18 ) ) & ( ( X18 ) != ( Y23 ) ) ) |
% 84.57/12.73 ( ( r4 @ X16 @ X17 @ X18 ) & ( ( X18 ) = ( Y23 ) ) ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_15, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 84.57/12.73 thf(zf_stmt_16, axiom,
% 84.57/12.73 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 84.57/12.73 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) =>
% 84.57/12.73 ( ( ( X18 ) = ( Y23 ) ) & ( r4 @ X16 @ X17 @ X18 ) ) ))).
% 84.57/12.73 thf(zf_stmt_17, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 84.57/12.73 thf(zf_stmt_18, axiom,
% 84.57/12.73 (![X18:$i,Y23:$i,X17:$i,X16:$i]:
% 84.57/12.73 ( ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) =>
% 84.57/12.73 ( ( ( X18 ) != ( Y23 ) ) & ( ~( r4 @ X16 @ X17 @ X18 ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_19, axiom,
% 84.57/12.73 (![X16:$i,X17:$i]:
% 84.57/12.73 ( ?[Y23:$i]:
% 84.57/12.73 ( ![X18:$i]:
% 84.57/12.73 ( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 ) |
% 84.57/12.73 ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) ) ) ))).
% 84.57/12.73 thf(zip_derived_cl19, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (zip_tseitin_7 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2)
% 84.57/12.73 | (zip_tseitin_6 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_19])).
% 84.57/12.73 thf(zip_derived_cl16, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (~ (r4 @ X0 @ X1 @ X2) | ~ (zip_tseitin_6 @ X2 @ X3 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_18])).
% 84.57/12.73 thf(zip_derived_cl190, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (zip_tseitin_7 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 84.57/12.73 | ~ (r4 @ X0 @ X1 @ X2))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl19, zip_derived_cl16])).
% 84.57/12.73 thf(zip_derived_cl17, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (((X1) = (X0)) | ~ (zip_tseitin_7 @ X1 @ X0 @ X2 @ X3))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_16])).
% 84.57/12.73 thf(zip_derived_cl209, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl190, zip_derived_cl17])).
% 84.57/12.73 thf(zip_derived_cl307, plain, (![X0 : $i]: ((sk_) = (sk__3 @ sk_ @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl209])).
% 84.57/12.73 thf(axiom_2a, axiom,
% 84.57/12.73 (![X2:$i,X9:$i]:
% 84.57/12.73 ( ?[Y2:$i]:
% 84.57/12.73 ( ( ?[Y6:$i]: ( ( r4 @ X2 @ X9 @ Y6 ) & ( r3 @ Y6 @ X2 @ Y2 ) ) ) &
% 84.57/12.73 ( ?[Y3:$i]:
% 84.57/12.73 ( ( ( Y3 ) = ( Y2 ) ) &
% 84.57/12.73 ( ?[Y14:$i]: ( ( r4 @ X2 @ Y14 @ Y3 ) & ( r2 @ X9 @ Y14 ) ) ) ) ) ) ))).
% 84.57/12.73 thf(zip_derived_cl29, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ (sk__9 @ X0 @ X1) @ X1 @ (sk__8 @ X0 @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_2a])).
% 84.57/12.73 thf(zip_derived_cl28, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r4 @ X0 @ X1 @ (sk__9 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_2a])).
% 84.57/12.73 thf(zip_derived_cl209, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl190, zip_derived_cl17])).
% 84.57/12.73 thf(zip_derived_cl306, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__9 @ X1 @ X0) = (sk__3 @ X1 @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl209])).
% 84.57/12.73 thf(zip_derived_cl475, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ (sk__3 @ X0 @ X1) @ X1 @ (sk__8 @ X0 @ X1))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl306])).
% 84.57/12.73 thf(zip_derived_cl927, plain,
% 84.57/12.73 (![X0 : $i]: (r3 @ sk_ @ X0 @ (sk__8 @ sk_ @ X0))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl307, zip_derived_cl475])).
% 84.57/12.73 thf(zip_derived_cl205, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl188, zip_derived_cl12])).
% 84.57/12.73 thf(zip_derived_cl939, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__8 @ sk_ @ X0) = (sk__2 @ X0 @ sk_))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl927, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl27, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (r4 @ X0 @ (sk__11 @ X1 @ X0) @ (sk__10 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_2a])).
% 84.57/12.73 thf(zip_derived_cl25, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__10 @ X0 @ X1) = (sk__8 @ X0 @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_2a])).
% 84.57/12.73 thf(zip_derived_cl252, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r4 @ X0 @ (sk__11 @ X1 @ X0) @ (sk__8 @ X1 @ X0))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl25])).
% 84.57/12.73 thf(zip_derived_cl26, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__11 @ X0 @ X1))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_2a])).
% 84.57/12.73 thf(zip_derived_cl201, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl186, zip_derived_cl7])).
% 84.57/12.73 thf(zip_derived_cl250, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__11 @ X1 @ X0) = (sk__1 @ X1))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl389, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r4 @ X0 @ (sk__1 @ X1) @ (sk__8 @ X1 @ X0))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl252, zip_derived_cl250])).
% 84.57/12.73 thf(zip_derived_cl209, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl190, zip_derived_cl17])).
% 84.57/12.73 thf(zip_derived_cl486, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__8 @ X1 @ X0) = (sk__3 @ (sk__1 @ X1) @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl389, zip_derived_cl209])).
% 84.57/12.73 thf(zip_derived_cl19, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (zip_tseitin_7 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2)
% 84.57/12.73 | (zip_tseitin_6 @ X0 @ (sk__3 @ X1 @ X2) @ X1 @ X2))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_19])).
% 84.57/12.73 thf(zip_derived_cl15, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (((X1) != (X0)) | ~ (zip_tseitin_6 @ X1 @ X0 @ X2 @ X3))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_18])).
% 84.57/12.73 thf(zip_derived_cl189, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (zip_tseitin_7 @ X2 @ (sk__3 @ X1 @ X0) @ X1 @ X0)
% 84.57/12.73 | ((X2) != (sk__3 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl19, zip_derived_cl15])).
% 84.57/12.73 thf(zip_derived_cl18, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 ( (r4 @ X0 @ X1 @ X2) | ~ (zip_tseitin_7 @ X2 @ X3 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_16])).
% 84.57/12.73 thf(zip_derived_cl208, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X2) != (sk__3 @ X1 @ X0)) | (r4 @ X0 @ X1 @ X2))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl189, zip_derived_cl18])).
% 84.57/12.73 thf(zip_derived_cl682, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X2) != (sk__8 @ X1 @ X0)) | (r4 @ X0 @ (sk__1 @ X1) @ X2))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl486, zip_derived_cl208])).
% 84.57/12.73 thf(zip_derived_cl209, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r4 @ X0 @ X1 @ X2) | ((X2) = (sk__3 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl190, zip_derived_cl17])).
% 84.57/12.73 thf(zip_derived_cl696, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X0) != (sk__8 @ X1 @ X2)) | ((X0) = (sk__3 @ (sk__1 @ X1) @ X2)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl682, zip_derived_cl209])).
% 84.57/12.73 thf(zip_derived_cl952, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((X1) != (sk__2 @ X0 @ sk_)) | ((X1) = (sk__3 @ (sk__1 @ sk_) @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl939, zip_derived_cl696])).
% 84.57/12.73 thf(zip_derived_cl958, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((X1) != (sk__4 @ X0 @ sk_))
% 84.57/12.73 | ((X1) = (sk__3 @ (sk__1 @ sk_) @ (sk__1 @ X0))))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl442, zip_derived_cl952])).
% 84.57/12.73 thf(zip_derived_cl3878, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((X1) != (sk__1 @ (sk__4 @ X0 @ sk_)))
% 84.57/12.73 | ((X1) = (sk__3 @ (sk__1 @ sk_) @ (sk__1 @ (sk__1 @ X0)))))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl719, zip_derived_cl958])).
% 84.57/12.73 thf(zip_derived_cl4034, plain,
% 84.57/12.73 (![X0 : $i]:
% 84.57/12.73 (((X0) != (sk__1 @ (sk__1 @ (sk__1 @ sk_))))
% 84.57/12.73 | ((X0) = (sk__3 @ (sk__1 @ sk_) @ (sk__1 @ (sk__1 @ (sk__1 @ sk_))))))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl720, zip_derived_cl3878])).
% 84.57/12.73 thf(zip_derived_cl4144, plain,
% 84.57/12.73 (((sk__1 @ (sk__1 @ (sk__1 @ sk_)))
% 84.57/12.73 = (sk__3 @ (sk__1 @ sk_) @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl4034])).
% 84.57/12.73 thf(zip_derived_cl486, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__8 @ X1 @ X0) = (sk__3 @ (sk__1 @ X1) @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl389, zip_derived_cl209])).
% 84.57/12.73 thf(zip_derived_cl4240, plain,
% 84.57/12.73 (((sk__8 @ sk_ @ (sk__1 @ (sk__1 @ (sk__1 @ sk_))))
% 84.57/12.73 = (sk__1 @ (sk__1 @ (sk__1 @ sk_))))),
% 84.57/12.73 inference('s_sup+', [status(thm)],
% 84.57/12.73 [zip_derived_cl4144, zip_derived_cl486])).
% 84.57/12.73 thf(zip_derived_cl719, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ((sk__4 @ (sk__1 @ X1) @ X0) = (sk__1 @ (sk__4 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl511])).
% 84.57/12.73 thf(zip_derived_cl531, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__4 @ sk_ @ X0) = (sk__1 @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl511, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__1 @ (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl531, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__4 @ sk_ @ X0) = (sk__1 @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl307, plain, (![X0 : $i]: ((sk_) = (sk__3 @ sk_ @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl261, zip_derived_cl209])).
% 84.57/12.73 thf(zip_derived_cl511, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__1 @ (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl201])).
% 84.57/12.73 thf(zip_derived_cl200, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl185, zip_derived_cl8])).
% 84.57/12.73 thf(zip_derived_cl711, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X2) != (sk__4 @ X1 @ X0)) | (r2 @ (sk__2 @ X1 @ X0) @ X2))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl511, zip_derived_cl200])).
% 84.57/12.73 thf(zip_derived_cl475, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ (sk__3 @ X0 @ X1) @ X1 @ (sk__8 @ X0 @ X1))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl306])).
% 84.57/12.73 thf(zip_derived_cl205, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl188, zip_derived_cl12])).
% 84.57/12.73 thf(zip_derived_cl925, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ((sk__8 @ X1 @ X0) = (sk__2 @ X0 @ (sk__3 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl457, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl268])).
% 84.57/12.73 thf(zip_derived_cl1776, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (r2 @ (sk__8 @ X1 @ X0) @ (sk__4 @ X0 @ (sk__3 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl925, zip_derived_cl457])).
% 84.57/12.73 thf(axiom_3a, axiom,
% 84.57/12.73 (![X3:$i,X10:$i]:
% 84.57/12.73 ( ( ( X3 ) = ( X10 ) ) |
% 84.57/12.73 ( ![Y12:$i]:
% 84.57/12.73 ( ( ~( r2 @ X10 @ Y12 ) ) |
% 84.57/12.73 ( ![Y13:$i]: ( ( ( Y13 ) != ( Y12 ) ) | ( ~( r2 @ X3 @ Y13 ) ) ) ) ) ) ))).
% 84.57/12.73 thf(zip_derived_cl30, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (((X1) = (X0)) | ((X3) != (X2)) | ~ (r2 @ X1 @ X3) | ~ (r2 @ X0 @ X2))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_3a])).
% 84.57/12.73 thf(zip_derived_cl235, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r2 @ X1 @ X0) | ~ (r2 @ X2 @ X0) | ((X2) = (X1)))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl30])).
% 84.57/12.73 thf(zip_derived_cl2433, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r2 @ X2 @ (sk__4 @ X0 @ (sk__3 @ X1 @ X0)))
% 84.57/12.73 | ((X2) = (sk__8 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl1776, zip_derived_cl235])).
% 84.57/12.73 thf(zip_derived_cl2509, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (((sk__4 @ X0 @ (sk__3 @ X1 @ X0)) != (sk__4 @ X3 @ X2))
% 84.57/12.73 | ((sk__2 @ X3 @ X2) = (sk__8 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl711, zip_derived_cl2433])).
% 84.57/12.73 thf(zip_derived_cl2930, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((sk__4 @ X2 @ sk_) != (sk__4 @ X1 @ X0))
% 84.57/12.73 | ((sk__2 @ X1 @ X0) = (sk__8 @ sk_ @ X2)))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl307, zip_derived_cl2509])).
% 84.57/12.73 thf(zip_derived_cl2957, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((sk__4 @ X1 @ sk_) != (sk__1 @ X0))
% 84.57/12.73 | ((sk__2 @ sk_ @ X0) = (sk__8 @ sk_ @ X1)))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl531, zip_derived_cl2930])).
% 84.57/12.73 thf(zip_derived_cl2976, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((sk__4 @ X2 @ sk_) != (sk__4 @ X1 @ X0))
% 84.57/12.73 | ((sk__2 @ sk_ @ (sk__2 @ X1 @ X0)) = (sk__8 @ sk_ @ X2)))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl511, zip_derived_cl2957])).
% 84.57/12.73 thf(zip_derived_cl3310, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((sk__4 @ X1 @ sk_) != (sk__1 @ X0))
% 84.57/12.73 | ((sk__2 @ sk_ @ (sk__2 @ sk_ @ X0)) = (sk__8 @ sk_ @ X1)))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl531, zip_derived_cl2976])).
% 84.57/12.73 thf(zip_derived_cl269, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl269, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl260, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl3316, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((sk__4 @ X1 @ sk_) != (sk__1 @ X0)) | ((X0) = (sk__8 @ sk_ @ X1)))),
% 84.57/12.73 inference('demod', [status(thm)],
% 84.57/12.73 [zip_derived_cl3310, zip_derived_cl269, zip_derived_cl269])).
% 84.57/12.73 thf(zip_derived_cl3885, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((sk__1 @ (sk__4 @ X0 @ sk_)) != (sk__1 @ X1))
% 84.57/12.73 | ((X1) = (sk__8 @ sk_ @ (sk__1 @ X0))))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl719, zip_derived_cl3316])).
% 84.57/12.73 thf(zip_derived_cl4015, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__4 @ X0 @ sk_) = (sk__8 @ sk_ @ (sk__1 @ X0)))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl3885])).
% 84.57/12.73 thf(zip_derived_cl4311, plain,
% 84.57/12.73 (((sk__4 @ (sk__1 @ (sk__1 @ sk_)) @ sk_)
% 84.57/12.73 = (sk__1 @ (sk__1 @ (sk__1 @ sk_))))),
% 84.57/12.73 inference('s_sup+', [status(thm)],
% 84.57/12.73 [zip_derived_cl4240, zip_derived_cl4015])).
% 84.57/12.73 thf(zip_derived_cl719, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ((sk__4 @ (sk__1 @ X1) @ X0) = (sk__1 @ (sk__4 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl511])).
% 84.57/12.73 thf(zip_derived_cl371, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__1 @ X1) @ (sk__4 @ X1 @ X0))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl249])).
% 84.57/12.73 thf(zip_derived_cl3827, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (r3 @ X0 @ (sk__1 @ (sk__1 @ X1)) @ (sk__1 @ (sk__4 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl719, zip_derived_cl371])).
% 84.57/12.73 thf(zip_derived_cl4423, plain,
% 84.57/12.73 ( (r3 @ sk_ @ (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))) @
% 84.57/12.73 (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))),
% 84.57/12.73 inference('s_sup+', [status(thm)],
% 84.57/12.73 [zip_derived_cl4311, zip_derived_cl3827])).
% 84.57/12.73 thf(zip_derived_cl248, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl200])).
% 84.57/12.73 thf(zip_derived_cl248, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl200])).
% 84.57/12.73 thf(zip_derived_cl720, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__4 @ (sk__1 @ sk_) @ X0) = (sk__1 @ (sk__1 @ X0)))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl578, zip_derived_cl511])).
% 84.57/12.73 thf(zip_derived_cl442, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__1 @ X1) @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl14, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (zip_tseitin_5 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2)
% 84.57/12.73 | (zip_tseitin_4 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_14])).
% 84.57/12.73 thf(zip_derived_cl10, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (((X1) != (X0)) | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_13])).
% 84.57/12.73 thf(zip_derived_cl187, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 ( (zip_tseitin_5 @ X2 @ (sk__2 @ X1 @ X0) @ X1 @ X0)
% 84.57/12.73 | ((X2) != (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl14, zip_derived_cl10])).
% 84.57/12.73 thf(zip_derived_cl13, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 ( (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_5 @ X2 @ X3 @ X1 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_11])).
% 84.57/12.73 thf(zip_derived_cl204, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X2) != (sk__2 @ X1 @ X0)) | (r3 @ X0 @ X1 @ X2))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl187, zip_derived_cl13])).
% 84.57/12.73 thf(zip_derived_cl650, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X2) != (sk__4 @ X1 @ X0)) | (r3 @ X0 @ (sk__1 @ X1) @ X2))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl442, zip_derived_cl204])).
% 84.57/12.73 thf(zip_derived_cl205, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl188, zip_derived_cl12])).
% 84.57/12.73 thf(zip_derived_cl663, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X0) != (sk__4 @ X1 @ X2)) | ((X0) = (sk__2 @ (sk__1 @ X1) @ X2)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl650, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl763, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((X1) != (sk__1 @ (sk__1 @ X0)))
% 84.57/12.73 | ((X1) = (sk__2 @ (sk__1 @ (sk__1 @ sk_)) @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl720, zip_derived_cl663])).
% 84.57/12.73 thf(zip_derived_cl855, plain,
% 84.57/12.73 (![X0 : $i]:
% 84.57/12.73 ((sk__1 @ (sk__1 @ X0)) = (sk__2 @ (sk__1 @ (sk__1 @ sk_)) @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl763])).
% 84.57/12.73 thf(zip_derived_cl952, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (((X1) != (sk__2 @ X0 @ sk_)) | ((X1) = (sk__3 @ (sk__1 @ sk_) @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl939, zip_derived_cl696])).
% 84.57/12.73 thf(zip_derived_cl960, plain,
% 84.57/12.73 (![X0 : $i]:
% 84.57/12.73 (((X0) != (sk__1 @ (sk__1 @ sk_)))
% 84.57/12.73 | ((X0) = (sk__3 @ (sk__1 @ sk_) @ (sk__1 @ (sk__1 @ sk_)))))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl855, zip_derived_cl952])).
% 84.57/12.73 thf(zip_derived_cl1007, plain,
% 84.57/12.73 (((sk__1 @ (sk__1 @ sk_))
% 84.57/12.73 = (sk__3 @ (sk__1 @ sk_) @ (sk__1 @ (sk__1 @ sk_))))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl960])).
% 84.57/12.73 thf(zip_derived_cl925, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 ((sk__8 @ X1 @ X0) = (sk__2 @ X0 @ (sk__3 @ X1 @ X0)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl205])).
% 84.57/12.73 thf(zip_derived_cl1788, plain,
% 84.57/12.73 (((sk__8 @ (sk__1 @ sk_) @ (sk__1 @ (sk__1 @ sk_)))
% 84.57/12.73 = (sk__2 @ (sk__1 @ (sk__1 @ sk_)) @ (sk__1 @ (sk__1 @ sk_))))),
% 84.57/12.73 inference('s_sup+', [status(thm)],
% 84.57/12.73 [zip_derived_cl1007, zip_derived_cl925])).
% 84.57/12.73 thf(zip_derived_cl855, plain,
% 84.57/12.73 (![X0 : $i]:
% 84.57/12.73 ((sk__1 @ (sk__1 @ X0)) = (sk__2 @ (sk__1 @ (sk__1 @ sk_)) @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl763])).
% 84.57/12.73 thf(zip_derived_cl1793, plain,
% 84.57/12.73 (((sk__8 @ (sk__1 @ sk_) @ (sk__1 @ (sk__1 @ sk_)))
% 84.57/12.73 = (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl1788, zip_derived_cl855])).
% 84.57/12.73 thf(zip_derived_cl696, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X0) != (sk__8 @ X1 @ X2)) | ((X0) = (sk__3 @ (sk__1 @ X1) @ X2)))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl682, zip_derived_cl209])).
% 84.57/12.73 thf(zip_derived_cl2263, plain,
% 84.57/12.73 (![X0 : $i]:
% 84.57/12.73 (((X0) != (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))
% 84.57/12.73 | ((X0) = (sk__3 @ (sk__1 @ (sk__1 @ sk_)) @ (sk__1 @ (sk__1 @ sk_)))))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl1793, zip_derived_cl696])).
% 84.57/12.73 thf(zip_derived_cl2884, plain,
% 84.57/12.73 (((sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_))))
% 84.57/12.73 = (sk__3 @ (sk__1 @ (sk__1 @ sk_)) @ (sk__1 @ (sk__1 @ sk_))))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl2263])).
% 84.57/12.73 thf(zip_derived_cl720, plain,
% 84.57/12.73 (![X0 : $i]: ((sk__4 @ (sk__1 @ sk_) @ X0) = (sk__1 @ (sk__1 @ X0)))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl578, zip_derived_cl511])).
% 84.57/12.73 thf(zip_derived_cl650, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X2) != (sk__4 @ X1 @ X0)) | (r3 @ X0 @ (sk__1 @ X1) @ X2))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl442, zip_derived_cl204])).
% 84.57/12.73 thf(zip_derived_cl208, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (((X2) != (sk__3 @ X1 @ X0)) | (r4 @ X0 @ X1 @ X2))),
% 84.57/12.73 inference('dp-resolution', [status(thm)],
% 84.57/12.73 [zip_derived_cl189, zip_derived_cl18])).
% 84.57/12.73 thf(zip_derived_cl289, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]: (r4 @ X0 @ X1 @ (sk__3 @ X1 @ X0))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl208])).
% 84.57/12.73 thf(evengreq4, conjecture,
% 84.57/12.73 (?[Y1:$i]:
% 84.57/12.73 ( ( ?[Y3:$i,Y5:$i]:
% 84.57/12.73 ( ( ?[Y7:$i]:
% 84.57/12.73 ( ( ?[Y9:$i]:
% 84.57/12.73 ( ( ?[Y11:$i]:
% 84.57/12.73 ( ( ?[Y13:$i]:
% 84.57/12.73 ( ( ?[Y15:$i]: ( ( r2 @ Y15 @ Y13 ) & ( r1 @ Y15 ) ) ) &
% 84.57/12.73 ( r2 @ Y13 @ Y11 ) ) ) &
% 84.57/12.73 ( r2 @ Y11 @ Y9 ) ) ) &
% 84.57/12.73 ( r2 @ Y9 @ Y7 ) ) ) &
% 84.57/12.73 ( r3 @ Y3 @ Y7 @ Y5 ) ) ) &
% 84.57/12.73 ( ( Y5 ) = ( Y1 ) ) ) ) &
% 84.57/12.73 ( ?[Y2:$i,Y4:$i]:
% 84.57/12.73 ( ( ?[Y8:$i]: ( ( ( Y8 ) = ( Y1 ) ) & ( r3 @ Y2 @ Y4 @ Y8 ) ) ) &
% 84.57/12.73 ( ?[Y6:$i]:
% 84.57/12.73 ( ( ( Y6 ) = ( Y1 ) ) &
% 84.57/12.73 ( ?[Y10:$i]:
% 84.57/12.73 ( ( ?[Y12:$i]:
% 84.57/12.73 ( ( ?[Y14:$i]: ( ( r2 @ Y14 @ Y12 ) & ( r1 @ Y14 ) ) ) &
% 84.57/12.73 ( r2 @ Y12 @ Y10 ) ) ) &
% 84.57/12.73 ( r4 @ Y10 @ Y2 @ Y6 ) ) ) ) ) ) ) ))).
% 84.57/12.73 thf(zf_stmt_20, negated_conjecture,
% 84.57/12.73 (~( ?[Y1:$i]:
% 84.57/12.73 ( ( ?[Y3:$i,Y5:$i]:
% 84.57/12.73 ( ( ?[Y7:$i]:
% 84.57/12.73 ( ( ?[Y9:$i]:
% 84.57/12.73 ( ( ?[Y11:$i]:
% 84.57/12.73 ( ( ?[Y13:$i]:
% 84.57/12.73 ( ( ?[Y15:$i]:
% 84.57/12.73 ( ( r2 @ Y15 @ Y13 ) & ( r1 @ Y15 ) ) ) &
% 84.57/12.73 ( r2 @ Y13 @ Y11 ) ) ) &
% 84.57/12.73 ( r2 @ Y11 @ Y9 ) ) ) &
% 84.57/12.73 ( r2 @ Y9 @ Y7 ) ) ) &
% 84.57/12.73 ( r3 @ Y3 @ Y7 @ Y5 ) ) ) &
% 84.57/12.73 ( ( Y5 ) = ( Y1 ) ) ) ) &
% 84.57/12.73 ( ?[Y2:$i,Y4:$i]:
% 84.57/12.73 ( ( ?[Y8:$i]: ( ( ( Y8 ) = ( Y1 ) ) & ( r3 @ Y2 @ Y4 @ Y8 ) ) ) &
% 84.57/12.73 ( ?[Y6:$i]:
% 84.57/12.73 ( ( ( Y6 ) = ( Y1 ) ) &
% 84.57/12.73 ( ?[Y10:$i]:
% 84.57/12.73 ( ( ?[Y12:$i]:
% 84.57/12.73 ( ( ?[Y14:$i]: ( ( r2 @ Y14 @ Y12 ) & ( r1 @ Y14 ) ) ) &
% 84.57/12.73 ( r2 @ Y12 @ Y10 ) ) ) &
% 84.57/12.73 ( r4 @ Y10 @ Y2 @ Y6 ) ) ) ) ) ) ) ) )),
% 84.57/12.73 inference('cnf.neg', [status(esa)], [evengreq4])).
% 84.57/12.73 thf(zip_derived_cl44, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 84.57/12.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i,
% 84.57/12.73 X14 : $i]:
% 84.57/12.73 (((X1) != (X0))
% 84.57/12.73 | ~ (r2 @ X2 @ X3)
% 84.57/12.73 | ~ (r2 @ X4 @ X5)
% 84.57/12.73 | ~ (r2 @ X6 @ X4)
% 84.57/12.73 | ~ (r1 @ X6)
% 84.57/12.73 | ~ (r2 @ X5 @ X2)
% 84.57/12.73 | ~ (r3 @ X7 @ X3 @ X1)
% 84.57/12.73 | ((X8) != (X0))
% 84.57/12.73 | ~ (r3 @ X9 @ X10 @ X8)
% 84.57/12.73 | ((X11) != (X0))
% 84.57/12.73 | ~ (r4 @ X12 @ X9 @ X11)
% 84.57/12.73 | ~ (r1 @ X13)
% 84.57/12.73 | ~ (r2 @ X13 @ X14)
% 84.57/12.73 | ~ (r2 @ X14 @ X12))),
% 84.57/12.73 inference('cnf', [status(esa)], [zf_stmt_20])).
% 84.57/12.73 thf(zip_derived_cl266, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 84.57/12.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i, X13 : $i]:
% 84.57/12.73 (~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r1 @ X2)
% 84.57/12.73 | ~ (r4 @ X0 @ X4 @ X3)
% 84.57/12.73 | ((X3) != (X5))
% 84.57/12.73 | ~ (r3 @ X4 @ X7 @ X6)
% 84.57/12.73 | ((X6) != (X5))
% 84.57/12.73 | ~ (r3 @ X9 @ X8 @ X5)
% 84.57/12.73 | ~ (r2 @ X11 @ X10)
% 84.57/12.73 | ~ (r1 @ X12)
% 84.57/12.73 | ~ (r2 @ X12 @ X13)
% 84.57/12.73 | ~ (r2 @ X13 @ X11)
% 84.57/12.73 | ~ (r2 @ X10 @ X8))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 84.57/12.73 thf(zip_derived_cl278, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 84.57/12.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i, X12 : $i]:
% 84.57/12.73 (~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r2 @ X3 @ X2)
% 84.57/12.73 | ~ (r2 @ X4 @ X3)
% 84.57/12.73 | ~ (r1 @ X4)
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r3 @ X6 @ X0 @ X5)
% 84.57/12.73 | ((X7) != (X5))
% 84.57/12.73 | ~ (r3 @ X9 @ X8 @ X7)
% 84.57/12.73 | ~ (r4 @ X10 @ X9 @ X5)
% 84.57/12.73 | ~ (r1 @ X11)
% 84.57/12.73 | ~ (r2 @ X11 @ X12)
% 84.57/12.73 | ~ (r2 @ X12 @ X10))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl266])).
% 84.57/12.73 thf(zip_derived_cl295, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 84.57/12.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i, X11 : $i]:
% 84.57/12.73 (~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r1 @ X2)
% 84.57/12.73 | ~ (r4 @ X0 @ X4 @ X3)
% 84.57/12.73 | ~ (r3 @ X4 @ X5 @ X3)
% 84.57/12.73 | ~ (r3 @ X7 @ X6 @ X3)
% 84.57/12.73 | ~ (r2 @ X9 @ X8)
% 84.57/12.73 | ~ (r1 @ X10)
% 84.57/12.73 | ~ (r2 @ X10 @ X11)
% 84.57/12.73 | ~ (r2 @ X11 @ X9)
% 84.57/12.73 | ~ (r2 @ X8 @ X6))),
% 84.57/12.73 inference('eq_res', [status(thm)], [zip_derived_cl278])).
% 84.57/12.73 thf(zip_derived_cl367, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 84.57/12.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 84.57/12.73 (~ (r2 @ X2 @ X0)
% 84.57/12.73 | ~ (r2 @ X3 @ X2)
% 84.57/12.73 | ~ (r1 @ X3)
% 84.57/12.73 | ~ (r3 @ X1 @ X4 @ (sk__3 @ X1 @ X0))
% 84.57/12.73 | ~ (r3 @ X6 @ X5 @ (sk__3 @ X1 @ X0))
% 84.57/12.73 | ~ (r2 @ X8 @ X7)
% 84.57/12.73 | ~ (r1 @ X9)
% 84.57/12.73 | ~ (r2 @ X9 @ X10)
% 84.57/12.73 | ~ (r2 @ X10 @ X8)
% 84.57/12.73 | ~ (r2 @ X7 @ X5))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl289, zip_derived_cl295])).
% 84.57/12.73 thf(zip_derived_cl665, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 84.57/12.73 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 84.57/12.73 (((sk__3 @ X1 @ X0) != (sk__4 @ X2 @ X1))
% 84.57/12.73 | ~ (r2 @ X3 @ X0)
% 84.57/12.73 | ~ (r2 @ X4 @ X3)
% 84.57/12.73 | ~ (r1 @ X4)
% 84.57/12.73 | ~ (r3 @ X6 @ X5 @ (sk__3 @ X1 @ X0))
% 84.57/12.73 | ~ (r2 @ X8 @ X7)
% 84.57/12.73 | ~ (r1 @ X9)
% 84.57/12.73 | ~ (r2 @ X9 @ X10)
% 84.57/12.73 | ~ (r2 @ X10 @ X8)
% 84.57/12.73 | ~ (r2 @ X7 @ X5))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl650, zip_derived_cl367])).
% 84.57/12.73 thf(zip_derived_cl1022, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 84.57/12.73 X7 : $i, X8 : $i, X9 : $i]:
% 84.57/12.73 (((sk__3 @ X0 @ X1) != (sk__1 @ (sk__1 @ X0)))
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r2 @ X3 @ X2)
% 84.57/12.73 | ~ (r1 @ X3)
% 84.57/12.73 | ~ (r3 @ X5 @ X4 @ (sk__3 @ X0 @ X1))
% 84.57/12.73 | ~ (r2 @ X7 @ X6)
% 84.57/12.73 | ~ (r1 @ X8)
% 84.57/12.73 | ~ (r2 @ X8 @ X9)
% 84.57/12.73 | ~ (r2 @ X9 @ X7)
% 84.57/12.73 | ~ (r2 @ X6 @ X4))),
% 84.57/12.73 inference('s_sup-', [status(thm)], [zip_derived_cl720, zip_derived_cl665])).
% 84.57/12.73 thf(zip_derived_cl3325, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 84.57/12.73 (((sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_))))
% 84.57/12.73 != (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))
% 84.57/12.73 | ~ (r2 @ X0 @ (sk__1 @ (sk__1 @ sk_)))
% 84.57/12.73 | ~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r1 @ X1)
% 84.57/12.73 | ~ (r3 @ X3 @ X2 @ (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))
% 84.57/12.73 | ~ (r2 @ X5 @ X4)
% 84.57/12.73 | ~ (r1 @ X6)
% 84.57/12.73 | ~ (r2 @ X6 @ X7)
% 84.57/12.73 | ~ (r2 @ X7 @ X5)
% 84.57/12.73 | ~ (r2 @ X4 @ X2))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl2884, zip_derived_cl1022])).
% 84.57/12.73 thf(zip_derived_cl3329, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 84.57/12.73 (~ (r2 @ X4 @ X2)
% 84.57/12.73 | ~ (r2 @ X7 @ X5)
% 84.57/12.73 | ~ (r2 @ X6 @ X7)
% 84.57/12.73 | ~ (r1 @ X6)
% 84.57/12.73 | ~ (r2 @ X5 @ X4)
% 84.57/12.73 | ~ (r3 @ X3 @ X2 @ (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))
% 84.57/12.73 | ~ (r1 @ X1)
% 84.57/12.73 | ~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r2 @ X0 @ (sk__1 @ (sk__1 @ sk_))))),
% 84.57/12.73 inference('simplify', [status(thm)], [zip_derived_cl3325])).
% 84.57/12.73 thf(zip_derived_cl22343, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 84.57/12.73 (~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r2 @ X3 @ X2)
% 84.57/12.73 | ~ (r2 @ X4 @ X3)
% 84.57/12.73 | ~ (r1 @ X4)
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r3 @ X5 @ X0 @ (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))
% 84.57/12.73 | ~ (r1 @ X6)
% 84.57/12.73 | ~ (r2 @ X6 @ (sk__1 @ sk_)))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl248, zip_derived_cl3329])).
% 84.57/12.73 thf(zip_derived_cl40314, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.57/12.73 (~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r2 @ X3 @ X2)
% 84.57/12.73 | ~ (r2 @ X4 @ X3)
% 84.57/12.73 | ~ (r1 @ X4)
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r3 @ X5 @ X0 @ (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))
% 84.57/12.73 | ~ (r1 @ sk_))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl248, zip_derived_cl22343])).
% 84.57/12.73 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 84.57/12.73 inference('cnf', [status(esa)], [axiom_4a])).
% 84.57/12.73 thf(zip_derived_cl220, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 84.57/12.73 inference('s_sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl32])).
% 84.57/12.73 thf(zip_derived_cl224, plain, ( (r1 @ sk_)),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl220])).
% 84.57/12.73 thf(zip_derived_cl40327, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 84.57/12.73 (~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r2 @ X3 @ X2)
% 84.57/12.73 | ~ (r2 @ X4 @ X3)
% 84.57/12.73 | ~ (r1 @ X4)
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r3 @ X5 @ X0 @ (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_))))))),
% 84.57/12.73 inference('demod', [status(thm)],
% 84.57/12.73 [zip_derived_cl40314, zip_derived_cl224])).
% 84.57/12.73 thf(zip_derived_cl40342, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 84.57/12.73 (~ (r2 @ X0 @ (sk__1 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r2 @ X3 @ X2)
% 84.57/12.73 | ~ (r1 @ X3)
% 84.57/12.73 | ~ (r2 @ X1 @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl4423, zip_derived_cl40327])).
% 84.57/12.73 thf(zip_derived_cl40534, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 84.57/12.73 (~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r2 @ X2 @ X1)
% 84.57/12.73 | ~ (r1 @ X2)
% 84.57/12.73 | ~ (r2 @ X0 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl248, zip_derived_cl40342])).
% 84.57/12.73 thf(zip_derived_cl40583, plain,
% 84.57/12.73 (![X0 : $i, X1 : $i]:
% 84.57/12.73 (~ (r2 @ X0 @ (sk__1 @ (sk__1 @ sk_)))
% 84.57/12.73 | ~ (r2 @ X1 @ X0)
% 84.57/12.73 | ~ (r1 @ X1))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl248, zip_derived_cl40534])).
% 84.57/12.73 thf(zip_derived_cl40615, plain,
% 84.57/12.73 (![X0 : $i]: (~ (r2 @ X0 @ (sk__1 @ sk_)) | ~ (r1 @ X0))),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl248, zip_derived_cl40583])).
% 84.57/12.73 thf(zip_derived_cl40631, plain, (~ (r1 @ sk_)),
% 84.57/12.73 inference('s_sup-', [status(thm)],
% 84.57/12.73 [zip_derived_cl248, zip_derived_cl40615])).
% 84.57/12.73 thf(zip_derived_cl224, plain, ( (r1 @ sk_)),
% 84.57/12.73 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl220])).
% 84.57/12.73 thf(zip_derived_cl40639, plain, ($false),
% 84.57/12.73 inference('demod', [status(thm)],
% 84.57/12.73 [zip_derived_cl40631, zip_derived_cl224])).
% 84.57/12.73
% 84.57/12.73 % SZS output end Refutation
% 84.57/12.73
% 84.57/12.73
% 84.57/12.73 % Terminating...
% 85.14/12.78 % Runner terminated.
% 85.14/12.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------