%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN085+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.xMa6927jqg true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:48:59 PM UTC 2025
% Result : Theorem 0.55s 0.78s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUN085+2 : TPTP v9.2.0. Released v7.3.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xMa6927jqg true
% 0.12/0.33 % Computer : n013.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 12:11:23 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % 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
% 0.54/0.63 % 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
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 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/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.78 % Solved by fo/fo6_bce.sh.
% 0.55/0.78 % BCE start: 50
% 0.55/0.78 % BCE eliminated: 0
% 0.55/0.78 % PE start: 50
% 0.55/0.78 logic: eq
% 0.55/0.78 % PE eliminated: 17
% 0.55/0.78 % done 140 iterations in 0.062s
% 0.55/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.78 % SZS output start Refutation
% 0.55/0.78 thf(sk__6_type, type, sk__6: $i > $i > $i).
% 0.55/0.78 thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.55/0.78 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 0.55/0.78 thf(sk__21_type, type, sk__21: $i).
% 0.55/0.78 thf(sk__24_type, type, sk__24: $i).
% 0.55/0.78 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.55/0.78 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 0.55/0.78 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 0.55/0.78 thf(r2_type, type, r2: $i > $i > $o).
% 0.55/0.78 thf(sk__1_type, type, sk__1: $i > $i).
% 0.55/0.78 thf(r1_type, type, r1: $i > $o).
% 0.55/0.78 thf(sk__20_type, type, sk__20: $i).
% 0.55/0.78 thf(sk__12_type, type, sk__12: $i > $i).
% 0.55/0.78 thf(sk__13_type, type, sk__13: $i > $i).
% 0.55/0.78 thf(sk__22_type, type, sk__22: $i).
% 0.55/0.78 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 0.55/0.78 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.55/0.78 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 0.55/0.78 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 0.55/0.78 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.55/0.78 thf(sk__2_type, type, sk__2: $i > $i > $i).
% 0.55/0.78 thf(sk__23_type, type, sk__23: $i).
% 0.55/0.78 thf(sk__type, type, sk_: $i).
% 0.55/0.78 thf(zeroplusoneidzero, conjecture,
% 0.55/0.78 (![Y1:$i]:
% 0.55/0.78 ( ( ![Y5:$i]: ( ( ~( r1 @ Y5 ) ) | ( ( Y1 ) != ( Y5 ) ) ) ) |
% 0.55/0.78 ( ![Y2:$i]:
% 0.55/0.78 ( ( ![Y4:$i]: ( ( ~( r2 @ Y4 @ Y2 ) ) | ( ~( r1 @ Y4 ) ) ) ) |
% 0.55/0.78 ( ![Y3:$i]: ( ( ~( r3 @ Y3 @ Y2 @ Y1 ) ) | ( ~( r1 @ Y3 ) ) ) ) ) ) ))).
% 0.55/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.78 (~( ![Y1:$i]:
% 0.55/0.78 ( ( ![Y5:$i]: ( ( ~( r1 @ Y5 ) ) | ( ( Y1 ) != ( Y5 ) ) ) ) |
% 0.55/0.78 ( ![Y2:$i]:
% 0.55/0.78 ( ( ![Y4:$i]: ( ( ~( r2 @ Y4 @ Y2 ) ) | ( ~( r1 @ Y4 ) ) ) ) |
% 0.55/0.78 ( ![Y3:$i]: ( ( ~( r3 @ Y3 @ Y2 @ Y1 ) ) | ( ~( r1 @ Y3 ) ) ) ) ) ) ) )),
% 0.55/0.78 inference('cnf.neg', [status(esa)], [zeroplusoneidzero])).
% 0.55/0.78 thf(zip_derived_cl45, plain, ( (r2 @ sk__23 @ sk__22)),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.78 thf(axiom_1, axiom,
% 0.55/0.78 (?[Y24:$i]:
% 0.55/0.78 ( ![X19:$i]:
% 0.55/0.78 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 0.55/0.78 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 0.55/0.78 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $o).
% 0.55/0.78 thf(zf_stmt_2, axiom,
% 0.55/0.78 (![X19:$i,Y24:$i]:
% 0.55/0.78 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 0.55/0.78 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 0.55/0.78 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $o).
% 0.55/0.78 thf(zf_stmt_4, axiom,
% 0.55/0.78 (![X19:$i,Y24:$i]:
% 0.55/0.78 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 0.55/0.78 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 0.55/0.78 thf(zf_stmt_5, axiom,
% 0.55/0.78 (?[Y24:$i]:
% 0.55/0.78 ( ![X19:$i]:
% 0.55/0.78 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 0.55/0.78 thf(zip_derived_cl4, plain,
% 0.55/0.78 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.78 thf(zip_derived_cl1, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.78 thf(zip_derived_cl175, plain,
% 0.55/0.78 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl4, zip_derived_cl1])).
% 0.55/0.78 thf(zip_derived_cl2, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.78 thf(zip_derived_cl186, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl175, zip_derived_cl2])).
% 0.55/0.78 thf(zip_derived_cl44, plain, ( (r1 @ sk__23)),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.78 thf(zip_derived_cl233, plain, (((sk__23) = (sk_))),
% 0.55/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl44])).
% 0.55/0.78 thf(zip_derived_cl258, plain, ( (r2 @ sk_ @ sk__22)),
% 0.55/0.78 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl233])).
% 0.55/0.78 thf(axiom_2, axiom,
% 0.55/0.78 (![X11:$i]:
% 0.55/0.78 ( ?[Y21:$i]:
% 0.55/0.78 ( ![X12:$i]:
% 0.55/0.78 ( ( ( ~( r2 @ X11 @ X12 ) ) & ( ( X12 ) != ( Y21 ) ) ) |
% 0.55/0.78 ( ( r2 @ X11 @ X12 ) & ( ( X12 ) = ( Y21 ) ) ) ) ) ))).
% 0.55/0.78 thf(zf_stmt_6, type, zip_tseitin_3 : $i > $i > $i > $o).
% 0.55/0.78 thf(zf_stmt_7, axiom,
% 0.55/0.78 (![X12:$i,Y21:$i,X11:$i]:
% 0.55/0.78 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) =>
% 0.55/0.78 ( ( ( X12 ) = ( Y21 ) ) & ( r2 @ X11 @ X12 ) ) ))).
% 0.55/0.78 thf(zf_stmt_8, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.55/0.78 thf(zf_stmt_9, axiom,
% 0.55/0.78 (![X12:$i,Y21:$i,X11:$i]:
% 0.55/0.78 ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) =>
% 0.55/0.78 ( ( ( X12 ) != ( Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))).
% 0.55/0.78 thf(zf_stmt_10, axiom,
% 0.55/0.78 (![X11:$i]:
% 0.55/0.78 ( ?[Y21:$i]:
% 0.55/0.78 ( ![X12:$i]:
% 0.55/0.78 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) |
% 0.55/0.78 ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ) ))).
% 0.55/0.78 thf(zip_derived_cl9, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]:
% 0.55/0.78 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 0.55/0.78 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.78 thf(zip_derived_cl6, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 (~ (r2 @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/0.78 thf(zip_derived_cl179, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]:
% 0.55/0.78 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ~ (r2 @ X0 @ X1))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl9, zip_derived_cl6])).
% 0.55/0.78 thf(zip_derived_cl7, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 (((X1) = (X0)) | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.78 thf(zip_derived_cl194, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl179, zip_derived_cl7])).
% 0.55/0.78 thf(zip_derived_cl285, plain, (((sk__22) = (sk__1 @ sk_))),
% 0.55/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl194])).
% 0.55/0.78 thf(axiom_1a, axiom,
% 0.55/0.78 (![X1:$i,X8:$i]:
% 0.55/0.78 ( ?[Y4:$i]:
% 0.55/0.78 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 0.55/0.78 ( ?[Y5:$i]:
% 0.55/0.78 ( ( ( Y5 ) = ( Y4 ) ) &
% 0.55/0.78 ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) ) ) ) ))).
% 0.55/0.78 thf(zip_derived_cl22, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__7 @ X1 @ X0) @ (sk__6 @ X1 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/0.78 thf(axiom_3, axiom,
% 0.55/0.78 (![X13:$i,X14:$i]:
% 0.55/0.78 ( ?[Y22:$i]:
% 0.55/0.78 ( ![X15:$i]:
% 0.55/0.78 ( ( ( ~( r3 @ X13 @ X14 @ X15 ) ) & ( ( X15 ) != ( Y22 ) ) ) |
% 0.55/0.78 ( ( r3 @ X13 @ X14 @ X15 ) & ( ( X15 ) = ( Y22 ) ) ) ) ) ))).
% 0.55/0.78 thf(zf_stmt_11, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 0.55/0.78 thf(zf_stmt_12, axiom,
% 0.55/0.78 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 0.55/0.78 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) =>
% 0.55/0.78 ( ( ( X15 ) = ( Y22 ) ) & ( r3 @ X13 @ X14 @ X15 ) ) ))).
% 0.55/0.78 thf(zf_stmt_13, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 0.55/0.78 thf(zf_stmt_14, axiom,
% 0.55/0.78 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 0.55/0.78 ( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) =>
% 0.55/0.78 ( ( ( X15 ) != ( Y22 ) ) & ( ~( r3 @ X13 @ X14 @ X15 ) ) ) ))).
% 0.55/0.78 thf(zf_stmt_15, axiom,
% 0.55/0.78 (![X13:$i,X14:$i]:
% 0.55/0.78 ( ?[Y22:$i]:
% 0.55/0.78 ( ![X15:$i]:
% 0.55/0.78 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) |
% 0.55/0.78 ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ) ))).
% 0.55/0.78 thf(zip_derived_cl14, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 ( (zip_tseitin_5 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2)
% 0.55/0.78 | (zip_tseitin_4 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.55/0.78 thf(zip_derived_cl11, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.78 (~ (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_4 @ X2 @ X3 @ X1 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.55/0.78 thf(zip_derived_cl181, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 ( (zip_tseitin_5 @ X2 @ (sk__2 @ X1 @ X0) @ X1 @ X0)
% 0.55/0.78 | ~ (r3 @ X0 @ X1 @ X2))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl14, zip_derived_cl11])).
% 0.55/0.78 thf(zip_derived_cl12, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.78 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.55/0.78 thf(zip_derived_cl198, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl181, zip_derived_cl12])).
% 0.55/0.78 thf(zip_derived_cl208, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]:
% 0.55/0.78 ((sk__6 @ X1 @ X0) = (sk__2 @ (sk__7 @ X1 @ X0) @ X0))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl22, zip_derived_cl198])).
% 0.55/0.78 thf(zip_derived_cl20, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: ((sk__6 @ X0 @ X1) = (sk__4 @ X0 @ X1))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/0.78 thf(zip_derived_cl307, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]:
% 0.55/0.78 ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__7 @ X1 @ X0) @ X0))),
% 0.55/0.78 inference('demod', [status(thm)], [zip_derived_cl208, zip_derived_cl20])).
% 0.55/0.78 thf(zip_derived_cl21, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/0.78 thf(zip_derived_cl194, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl179, zip_derived_cl7])).
% 0.55/0.78 thf(zip_derived_cl283, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 0.55/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl194])).
% 0.55/0.78 thf(zip_derived_cl404, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__1 @ X1) @ X0))),
% 0.55/0.78 inference('demod', [status(thm)], [zip_derived_cl307, zip_derived_cl283])).
% 0.55/0.78 thf(zip_derived_cl434, plain,
% 0.55/0.78 (![X0 : $i]: ((sk__4 @ sk_ @ X0) = (sk__2 @ sk__22 @ X0))),
% 0.55/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl404])).
% 0.55/0.78 thf(axiom_4a, axiom,
% 0.55/0.78 (![X4:$i]:
% 0.55/0.78 ( ?[Y9:$i]:
% 0.55/0.78 ( ( ( Y9 ) = ( X4 ) ) &
% 0.55/0.78 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 0.55/0.78 thf(zip_derived_cl31, plain,
% 0.55/0.78 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/0.78 thf(zip_derived_cl198, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl181, zip_derived_cl12])).
% 0.55/0.78 thf(zip_derived_cl211, plain,
% 0.55/0.78 (![X0 : $i]: ((sk__12 @ X0) = (sk__2 @ (sk__13 @ X0) @ X0))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl31, zip_derived_cl198])).
% 0.55/0.78 thf(zip_derived_cl33, plain, (![X0 : $i]: ((sk__12 @ X0) = (X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/0.78 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/0.78 thf(zip_derived_cl186, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl175, zip_derived_cl2])).
% 0.55/0.78 thf(zip_derived_cl239, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.55/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl186])).
% 0.55/0.78 thf(zip_derived_cl330, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 0.55/0.78 inference('demod', [status(thm)],
% 0.55/0.78 [zip_derived_cl211, zip_derived_cl33, zip_derived_cl239])).
% 0.55/0.78 thf(zip_derived_cl24, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (r2 @ (sk__5 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/0.78 thf(zip_derived_cl23, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/0.78 thf(zip_derived_cl198, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl181, zip_derived_cl12])).
% 0.55/0.78 thf(zip_derived_cl209, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: ((sk__5 @ X1 @ X0) = (sk__2 @ X1 @ X0))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl23, zip_derived_cl198])).
% 0.55/0.78 thf(zip_derived_cl310, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 0.55/0.78 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl209])).
% 0.55/0.78 thf(zip_derived_cl340, plain, (![X0 : $i]: (r2 @ X0 @ (sk__4 @ sk_ @ X0))),
% 0.55/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl330, zip_derived_cl310])).
% 0.55/0.78 thf(zip_derived_cl194, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl179, zip_derived_cl7])).
% 0.55/0.78 thf(zip_derived_cl353, plain,
% 0.55/0.78 (![X0 : $i]: ((sk__4 @ sk_ @ X0) = (sk__1 @ X0))),
% 0.55/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl340, zip_derived_cl194])).
% 0.55/0.78 thf(zip_derived_cl435, plain,
% 0.55/0.78 (![X0 : $i]: ((sk__1 @ X0) = (sk__2 @ sk__22 @ X0))),
% 0.55/0.78 inference('demod', [status(thm)], [zip_derived_cl434, zip_derived_cl353])).
% 0.55/0.78 thf(zip_derived_cl47, plain, ( (r3 @ sk__24 @ sk__22 @ sk__20)),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.78 thf(zip_derived_cl198, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl181, zip_derived_cl12])).
% 0.55/0.78 thf(zip_derived_cl212, plain, (((sk__20) = (sk__2 @ sk__22 @ sk__24))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl47, zip_derived_cl198])).
% 0.55/0.78 thf(zip_derived_cl48, plain, ( (r1 @ sk__21)),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.78 thf(zip_derived_cl49, plain, (((sk__20) = (sk__21))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.78 thf(zip_derived_cl232, plain, ( (r1 @ sk__20)),
% 0.55/0.78 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl49])).
% 0.55/0.78 thf(zip_derived_cl186, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl175, zip_derived_cl2])).
% 0.55/0.78 thf(zip_derived_cl235, plain, (((sk__20) = (sk_))),
% 0.55/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl232, zip_derived_cl186])).
% 0.55/0.78 thf(zip_derived_cl186, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl175, zip_derived_cl2])).
% 0.55/0.78 thf(zip_derived_cl46, plain, ( (r1 @ sk__24)),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.78 thf(zip_derived_cl234, plain, (((sk__24) = (sk_))),
% 0.55/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl46])).
% 0.55/0.78 thf(zip_derived_cl265, plain, (((sk_) = (sk__2 @ sk__22 @ sk_))),
% 0.55/0.78 inference('demod', [status(thm)],
% 0.55/0.78 [zip_derived_cl212, zip_derived_cl235, zip_derived_cl234])).
% 0.55/0.78 thf(zip_derived_cl439, plain, (((sk_) = (sk__1 @ sk_))),
% 0.55/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl265])).
% 0.55/0.78 thf(zip_derived_cl4, plain,
% 0.55/0.78 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.78 thf(zip_derived_cl0, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.78 thf(zip_derived_cl174, plain,
% 0.55/0.78 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ((X0) != (sk_)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl4, zip_derived_cl0])).
% 0.55/0.78 thf(zip_derived_cl3, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: ( (r1 @ X0) | ~ (zip_tseitin_1 @ X0 @ X1))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.78 thf(zip_derived_cl185, plain, (![X0 : $i]: (((X0) != (sk_)) | (r1 @ X0))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl174, zip_derived_cl3])).
% 0.55/0.78 thf(zip_derived_cl9, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]:
% 0.55/0.78 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 0.55/0.78 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.78 thf(zip_derived_cl5, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 (((X1) != (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/0.78 thf(zip_derived_cl178, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]:
% 0.55/0.78 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ((X1) != (sk__1 @ X0)))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl9, zip_derived_cl5])).
% 0.55/0.78 thf(zip_derived_cl8, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.55/0.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.78 thf(zip_derived_cl193, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 0.55/0.78 inference('dp-resolution', [status(thm)],
% 0.55/0.78 [zip_derived_cl178, zip_derived_cl8])).
% 0.55/0.78 thf(zip_derived_cl282, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.55/0.78 inference('eq_res', [status(thm)], [zip_derived_cl193])).
% 0.55/0.78 thf(axiom_7a, axiom,
% 0.55/0.78 (![X7:$i,Y10:$i]:
% 0.55/0.78 ( ( ~( r2 @ X7 @ Y10 ) ) |
% 0.55/0.78 ( ![Y20:$i]: ( ( ( Y20 ) != ( Y10 ) ) | ( ~( r1 @ Y20 ) ) ) ) ))).
% 0.55/0.78 thf(zip_derived_cl43, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.78 (~ (r2 @ X0 @ X1) | ~ (r1 @ X2) | ((X2) != (X1)))),
% 0.55/0.78 inference('cnf', [status(esa)], [axiom_7a])).
% 0.55/0.78 thf(zip_derived_cl254, plain,
% 0.55/0.78 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (r2 @ X1 @ X0))),
% 0.55/0.78 inference('eq_res', [status(thm)], [zip_derived_cl43])).
% 0.55/0.78 thf(zip_derived_cl293, plain, (![X0 : $i]: ~ (r1 @ (sk__1 @ X0))),
% 0.55/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl282, zip_derived_cl254])).
% 0.55/0.78 thf(zip_derived_cl295, plain, (![X0 : $i]: ((sk__1 @ X0) != (sk_))),
% 0.55/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl185, zip_derived_cl293])).
% 0.55/0.78 thf(zip_derived_cl440, plain, ($false),
% 0.55/0.78 inference('simplify_reflect-', [status(thm)],
% 0.55/0.78 [zip_derived_cl439, zip_derived_cl295])).
% 0.55/0.78
% 0.55/0.78 % SZS output end Refutation
% 0.55/0.78
% 0.55/0.78
% 0.55/0.78 % Terminating...
% 1.81/0.84 % Runner terminated.
% 1.81/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------