%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN066+2 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0pHur6tnBV 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 04:48:55 PM UTC 2025
% Result : Theorem 1.16s 0.90s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUN066+2 : TPTP v9.2.0. Released v7.3.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0pHur6tnBV true
% 0.10/0.30 % Computer : n013.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 12:12:23 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.16/0.52 % Total configuration time : 435
% 0.16/0.52 % Estimated wc time : 1092
% 0.16/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.81/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.10/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.10/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.10/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.16/0.90 % Solved by fo/fo13.sh.
% 1.16/0.90 % done 200 iterations in 0.232s
% 1.16/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.16/0.90 % SZS output start Refutation
% 1.16/0.90 thf(r3_type, type, r3: $i > $i > $i > $o).
% 1.16/0.90 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 1.16/0.90 thf(sk__20_type, type, sk__20: $i > $i).
% 1.16/0.90 thf(sk__23_type, type, sk__23: $i > $i).
% 1.16/0.90 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 1.16/0.90 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 1.16/0.90 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 1.16/0.90 thf(r2_type, type, r2: $i > $i > $o).
% 1.16/0.90 thf(sk__1_type, type, sk__1: $i > $i).
% 1.16/0.90 thf(r1_type, type, r1: $i > $o).
% 1.16/0.90 thf(sk__13_type, type, sk__13: $i > $i).
% 1.16/0.90 thf(sk__21_type, type, sk__21: $i > $i).
% 1.16/0.90 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 1.16/0.90 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 1.16/0.90 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 1.16/0.90 thf(sk__22_type, type, sk__22: $i > $i).
% 1.16/0.90 thf(sk__type, type, sk_: $i).
% 1.16/0.90 thf(axiom_1a, axiom,
% 1.16/0.90 (![X1:$i,X8:$i]:
% 1.16/0.90 ( ?[Y4:$i]:
% 1.16/0.90 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 1.16/0.91 ( ?[Y5:$i]:
% 1.16/0.91 ( ( ( Y5 ) = ( Y4 ) ) &
% 1.16/0.91 ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) ) ) ) ))).
% 1.16/0.91 thf(zip_derived_cl24, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (r2 @ (sk__5 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 1.16/0.91 inference('cnf', [status(esa)], [axiom_1a])).
% 1.16/0.91 thf(axiom_7a, axiom,
% 1.16/0.91 (![X7:$i,Y10:$i]:
% 1.16/0.91 ( ( ~( r2 @ X7 @ Y10 ) ) |
% 1.16/0.91 ( ![Y20:$i]: ( ( ( Y20 ) != ( Y10 ) ) | ( ~( r1 @ Y20 ) ) ) ) ))).
% 1.16/0.91 thf(zip_derived_cl43, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.91 (~ (r2 @ X0 @ X1) | ~ (r1 @ X2) | ((X2) != (X1)))),
% 1.16/0.91 inference('cnf', [status(esa)], [axiom_7a])).
% 1.16/0.91 thf(zip_derived_cl60, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (r2 @ X1 @ X0))),
% 1.16/0.91 inference('eq_res', [status(thm)], [zip_derived_cl43])).
% 1.16/0.91 thf(zip_derived_cl103, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: ~ (r1 @ (sk__4 @ X1 @ X0))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl60])).
% 1.16/0.91 thf(axiom_1, axiom,
% 1.16/0.91 (?[Y24:$i]:
% 1.16/0.91 ( ![X19:$i]:
% 1.16/0.91 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 1.16/0.91 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 1.16/0.91 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $i > $o).
% 1.16/0.91 thf(zf_stmt_1, axiom,
% 1.16/0.91 (![X19:$i,Y24:$i]:
% 1.16/0.91 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 1.16/0.91 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 1.16/0.91 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $o).
% 1.16/0.91 thf(zf_stmt_3, axiom,
% 1.16/0.91 (![X19:$i,Y24:$i]:
% 1.16/0.91 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 1.16/0.91 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 1.16/0.91 thf(zf_stmt_4, axiom,
% 1.16/0.91 (?[Y24:$i]:
% 1.16/0.91 ( ![X19:$i]:
% 1.16/0.91 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 1.16/0.91 thf(zip_derived_cl4, plain,
% 1.16/0.91 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.16/0.91 thf(zip_derived_cl2, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.16/0.91 thf(zip_derived_cl61, plain,
% 1.16/0.91 (![X0 : $i]: ( (zip_tseitin_0 @ X0 @ sk_) | ((X0) = (sk_)))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.16/0.91 thf(zip_derived_cl1, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.16/0.91 thf(zip_derived_cl63, plain, (![X0 : $i]: (((X0) = (sk_)) | ~ (r1 @ X0))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl1])).
% 1.16/0.91 thf(nonzerononetwoexist, conjecture,
% 1.16/0.91 (?[Y1:$i]:
% 1.16/0.91 ( ( ![Y5:$i]: ( ( ( Y1 ) != ( Y5 ) ) | ( ~( r1 @ Y5 ) ) ) ) &
% 1.16/0.91 ( ![Y2:$i]:
% 1.16/0.91 ( ( ( Y1 ) != ( Y2 ) ) |
% 1.16/0.91 ( ![Y3:$i]:
% 1.16/0.91 ( ( ~( r2 @ Y3 @ Y2 ) ) |
% 1.16/0.91 ( ![Y4:$i]: ( ( ~( r2 @ Y4 @ Y3 ) ) | ( ~( r1 @ Y4 ) ) ) ) ) ) ) ) ))).
% 1.16/0.91 thf(zf_stmt_5, negated_conjecture,
% 1.16/0.91 (~( ?[Y1:$i]:
% 1.16/0.91 ( ( ![Y5:$i]: ( ( ( Y1 ) != ( Y5 ) ) | ( ~( r1 @ Y5 ) ) ) ) &
% 1.16/0.91 ( ![Y2:$i]:
% 1.16/0.91 ( ( ( Y1 ) != ( Y2 ) ) |
% 1.16/0.91 ( ![Y3:$i]:
% 1.16/0.91 ( ( ~( r2 @ Y3 @ Y2 ) ) |
% 1.16/0.91 ( ![Y4:$i]: ( ( ~( r2 @ Y4 @ Y3 ) ) | ( ~( r1 @ Y4 ) ) ) ) ) ) ) ) ) )),
% 1.16/0.91 inference('cnf.neg', [status(esa)], [nonzerononetwoexist])).
% 1.16/0.91 thf(zip_derived_cl46, plain,
% 1.16/0.91 (![X0 : $i]: (((X0) = (sk__20 @ X0)) | (r1 @ (sk__23 @ X0)))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.91 thf(zip_derived_cl71, plain,
% 1.16/0.91 (![X0 : $i]: (((sk__23 @ X0) = (sk_)) | ((X0) = (sk__20 @ X0)))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl46])).
% 1.16/0.91 thf(zip_derived_cl45, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 (((X0) = (sk__20 @ X0)) | (r2 @ (sk__23 @ X0) @ (sk__22 @ X0)))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.91 thf(zip_derived_cl107, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 (((X0) = (sk__20 @ X0))
% 1.16/0.91 | ((X0) = (sk__20 @ X0))
% 1.16/0.91 | (r2 @ sk_ @ (sk__22 @ X0)))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl45])).
% 1.16/0.91 thf(zip_derived_cl109, plain,
% 1.16/0.91 (![X0 : $i]: ( (r2 @ sk_ @ (sk__22 @ X0)) | ((X0) = (sk__20 @ X0)))),
% 1.16/0.91 inference('simplify', [status(thm)], [zip_derived_cl107])).
% 1.16/0.91 thf(axiom_2, axiom,
% 1.16/0.91 (![X11:$i]:
% 1.16/0.91 ( ?[Y21:$i]:
% 1.16/0.91 ( ![X12:$i]:
% 1.16/0.91 ( ( ( ~( r2 @ X11 @ X12 ) ) & ( ( X12 ) != ( Y21 ) ) ) |
% 1.16/0.91 ( ( r2 @ X11 @ X12 ) & ( ( X12 ) = ( Y21 ) ) ) ) ) ))).
% 1.16/0.91 thf(zf_stmt_6, type, zip_tseitin_3 : $i > $i > $i > $o).
% 1.16/0.91 thf(zf_stmt_7, axiom,
% 1.16/0.91 (![X12:$i,Y21:$i,X11:$i]:
% 1.16/0.91 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) =>
% 1.16/0.91 ( ( ( X12 ) = ( Y21 ) ) & ( r2 @ X11 @ X12 ) ) ))).
% 1.16/0.91 thf(zf_stmt_8, type, zip_tseitin_2 : $i > $i > $i > $o).
% 1.16/0.91 thf(zf_stmt_9, axiom,
% 1.16/0.91 (![X12:$i,Y21:$i,X11:$i]:
% 1.16/0.91 ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) =>
% 1.16/0.91 ( ( ( X12 ) != ( Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))).
% 1.16/0.91 thf(zf_stmt_10, axiom,
% 1.16/0.91 (![X11:$i]:
% 1.16/0.91 ( ?[Y21:$i]:
% 1.16/0.91 ( ![X12:$i]:
% 1.16/0.91 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) |
% 1.16/0.91 ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ) ))).
% 1.16/0.91 thf(zip_derived_cl9, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]:
% 1.16/0.91 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 1.16/0.91 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.16/0.91 thf(zip_derived_cl7, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.91 (((X1) = (X0)) | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.16/0.91 thf(zip_derived_cl90, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]:
% 1.16/0.91 ( (zip_tseitin_2 @ X1 @ (sk__1 @ X0) @ X0) | ((X1) = (sk__1 @ X0)))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 1.16/0.91 thf(zip_derived_cl6, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.91 (~ (r2 @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.16/0.91 thf(zip_derived_cl234, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (((X1) = (sk__1 @ X0)) | ~ (r2 @ X0 @ X1))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl6])).
% 1.16/0.91 thf(zip_derived_cl261, plain,
% 1.16/0.91 (![X0 : $i]: (((X0) = (sk__20 @ X0)) | ((sk__22 @ X0) = (sk__1 @ sk_)))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl234])).
% 1.16/0.91 thf(zip_derived_cl44, plain,
% 1.16/0.91 (![X0 : $i]: (((X0) = (sk__20 @ X0)) | ((X0) = (sk__21 @ X0)))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.91 thf(zip_derived_cl47, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 (((X0) = (sk__20 @ X0)) | (r2 @ (sk__22 @ X0) @ (sk__21 @ X0)))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.91 thf(zip_derived_cl119, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 (((X0) = (sk__20 @ X0))
% 1.16/0.91 | ((X0) = (sk__20 @ X0))
% 1.16/0.91 | (r2 @ (sk__22 @ X0) @ X0))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl47])).
% 1.16/0.91 thf(zip_derived_cl121, plain,
% 1.16/0.91 (![X0 : $i]: ( (r2 @ (sk__22 @ X0) @ X0) | ((X0) = (sk__20 @ X0)))),
% 1.16/0.91 inference('simplify', [status(thm)], [zip_derived_cl119])).
% 1.16/0.91 thf(zip_derived_cl234, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (((X1) = (sk__1 @ X0)) | ~ (r2 @ X0 @ X1))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl6])).
% 1.16/0.91 thf(zip_derived_cl264, plain,
% 1.16/0.91 (![X0 : $i]: (((X0) = (sk__20 @ X0)) | ((X0) = (sk__1 @ (sk__22 @ X0))))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl234])).
% 1.16/0.91 thf(zip_derived_cl317, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 (((X0) = (sk__20 @ X0))
% 1.16/0.91 | ((X0) = (sk__20 @ X0))
% 1.16/0.91 | ((X0) = (sk__1 @ (sk__1 @ sk_))))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl264])).
% 1.16/0.91 thf(zip_derived_cl329, plain,
% 1.16/0.91 (![X0 : $i]: (((X0) = (sk__1 @ (sk__1 @ sk_))) | ((X0) = (sk__20 @ X0)))),
% 1.16/0.91 inference('simplify', [status(thm)], [zip_derived_cl317])).
% 1.16/0.91 thf(zip_derived_cl63, plain, (![X0 : $i]: (((X0) = (sk_)) | ~ (r1 @ X0))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl1])).
% 1.16/0.91 thf(zip_derived_cl50, plain,
% 1.16/0.91 (![X0 : $i]: ( (r1 @ (sk__20 @ X0)) | (r1 @ (sk__23 @ X0)))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.91 thf(zip_derived_cl72, plain,
% 1.16/0.91 (![X0 : $i]: (((sk__23 @ X0) = (sk_)) | (r1 @ (sk__20 @ X0)))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl50])).
% 1.16/0.91 thf(zip_derived_cl49, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 ( (r1 @ (sk__20 @ X0)) | (r2 @ (sk__23 @ X0) @ (sk__22 @ X0)))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.91 thf(zip_derived_cl143, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 ( (r1 @ (sk__20 @ X0))
% 1.16/0.91 | (r1 @ (sk__20 @ X0))
% 1.16/0.91 | (r2 @ sk_ @ (sk__22 @ X0)))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl49])).
% 1.16/0.91 thf(zip_derived_cl144, plain,
% 1.16/0.91 (![X0 : $i]: ( (r2 @ sk_ @ (sk__22 @ X0)) | (r1 @ (sk__20 @ X0)))),
% 1.16/0.91 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 1.16/0.91 thf(zip_derived_cl234, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (((X1) = (sk__1 @ X0)) | ~ (r2 @ X0 @ X1))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl6])).
% 1.16/0.91 thf(zip_derived_cl262, plain,
% 1.16/0.91 (![X0 : $i]: ( (r1 @ (sk__20 @ X0)) | ((sk__22 @ X0) = (sk__1 @ sk_)))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl234])).
% 1.16/0.91 thf(zip_derived_cl48, plain,
% 1.16/0.91 (![X0 : $i]: ( (r1 @ (sk__20 @ X0)) | ((X0) = (sk__21 @ X0)))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.91 thf(zip_derived_cl51, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 ( (r1 @ (sk__20 @ X0)) | (r2 @ (sk__22 @ X0) @ (sk__21 @ X0)))),
% 1.16/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.16/0.91 thf(zip_derived_cl164, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 ( (r1 @ (sk__20 @ X0))
% 1.16/0.91 | (r1 @ (sk__20 @ X0))
% 1.16/0.91 | (r2 @ (sk__22 @ X0) @ X0))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl51])).
% 1.16/0.91 thf(zip_derived_cl165, plain,
% 1.16/0.91 (![X0 : $i]: ( (r2 @ (sk__22 @ X0) @ X0) | (r1 @ (sk__20 @ X0)))),
% 1.16/0.91 inference('simplify', [status(thm)], [zip_derived_cl164])).
% 1.16/0.91 thf(zip_derived_cl234, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (((X1) = (sk__1 @ X0)) | ~ (r2 @ X0 @ X1))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl6])).
% 1.16/0.91 thf(zip_derived_cl265, plain,
% 1.16/0.91 (![X0 : $i]: ( (r1 @ (sk__20 @ X0)) | ((X0) = (sk__1 @ (sk__22 @ X0))))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl234])).
% 1.16/0.91 thf(zip_derived_cl369, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 ( (r1 @ (sk__20 @ X0))
% 1.16/0.91 | (r1 @ (sk__20 @ X0))
% 1.16/0.91 | ((X0) = (sk__1 @ (sk__1 @ sk_))))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl262, zip_derived_cl265])).
% 1.16/0.91 thf(zip_derived_cl378, plain,
% 1.16/0.91 (![X0 : $i]: (((X0) = (sk__1 @ (sk__1 @ sk_))) | (r1 @ (sk__20 @ X0)))),
% 1.16/0.91 inference('simplify', [status(thm)], [zip_derived_cl369])).
% 1.16/0.91 thf(zip_derived_cl884, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 (((X0) = (sk__1 @ (sk__1 @ sk_)))
% 1.16/0.91 | ((X0) = (sk__1 @ (sk__1 @ sk_)))
% 1.16/0.91 | (r1 @ X0))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl329, zip_derived_cl378])).
% 1.16/0.91 thf(zip_derived_cl889, plain,
% 1.16/0.91 (![X0 : $i]: ( (r1 @ X0) | ((X0) = (sk__1 @ (sk__1 @ sk_))))),
% 1.16/0.91 inference('simplify', [status(thm)], [zip_derived_cl884])).
% 1.16/0.91 thf(zip_derived_cl21, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 1.16/0.91 inference('cnf', [status(esa)], [axiom_1a])).
% 1.16/0.91 thf(zip_derived_cl21, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 1.16/0.91 inference('cnf', [status(esa)], [axiom_1a])).
% 1.16/0.91 thf(zip_derived_cl234, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (((X1) = (sk__1 @ X0)) | ~ (r2 @ X0 @ X1))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl6])).
% 1.16/0.91 thf(zip_derived_cl259, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl234])).
% 1.16/0.91 thf(zip_derived_cl271, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 1.16/0.91 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl259])).
% 1.16/0.91 thf(zip_derived_cl935, plain,
% 1.16/0.91 (![X0 : $i]:
% 1.16/0.91 ( (r1 @ (sk__1 @ X0)) | (r2 @ X0 @ (sk__1 @ (sk__1 @ sk_))))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl271])).
% 1.16/0.91 thf(zip_derived_cl21, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 1.16/0.91 inference('cnf', [status(esa)], [axiom_1a])).
% 1.16/0.91 thf(zip_derived_cl60, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (r2 @ X1 @ X0))),
% 1.16/0.91 inference('eq_res', [status(thm)], [zip_derived_cl43])).
% 1.16/0.91 thf(zip_derived_cl65, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: ~ (r1 @ (sk__7 @ X1 @ X0))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl60])).
% 1.16/0.91 thf(zip_derived_cl259, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl234])).
% 1.16/0.91 thf(zip_derived_cl273, plain, (![X1 : $i]: ~ (r1 @ (sk__1 @ X1))),
% 1.16/0.91 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl259])).
% 1.16/0.91 thf(zip_derived_cl1042, plain,
% 1.16/0.91 (![X0 : $i]: (r2 @ X0 @ (sk__1 @ (sk__1 @ sk_)))),
% 1.16/0.91 inference('demod', [status(thm)], [zip_derived_cl935, zip_derived_cl273])).
% 1.16/0.91 thf(axiom_3a, axiom,
% 1.16/0.91 (![X3:$i,X10:$i]:
% 1.16/0.91 ( ( ( X3 ) = ( X10 ) ) |
% 1.16/0.91 ( ![Y12:$i]:
% 1.16/0.91 ( ( ~( r2 @ X10 @ Y12 ) ) |
% 1.16/0.91 ( ![Y13:$i]: ( ( ( Y13 ) != ( Y12 ) ) | ( ~( r2 @ X3 @ Y13 ) ) ) ) ) ) ))).
% 1.16/0.91 thf(zip_derived_cl30, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.16/0.91 (((X1) = (X0)) | ((X3) != (X2)) | ~ (r2 @ X1 @ X3) | ~ (r2 @ X0 @ X2))),
% 1.16/0.91 inference('cnf', [status(esa)], [axiom_3a])).
% 1.16/0.91 thf(zip_derived_cl92, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.16/0.91 (~ (r2 @ X1 @ X0) | ~ (r2 @ X2 @ X0) | ((X2) = (X1)))),
% 1.16/0.91 inference('eq_res', [status(thm)], [zip_derived_cl30])).
% 1.16/0.91 thf(zip_derived_cl1070, plain,
% 1.16/0.91 (![X0 : $i, X1 : $i]:
% 1.16/0.91 (~ (r2 @ X1 @ (sk__1 @ (sk__1 @ sk_))) | ((X1) = (X0)))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl1042, zip_derived_cl92])).
% 1.16/0.91 thf(zip_derived_cl1042, plain,
% 1.16/0.91 (![X0 : $i]: (r2 @ X0 @ (sk__1 @ (sk__1 @ sk_)))),
% 1.16/0.91 inference('demod', [status(thm)], [zip_derived_cl935, zip_derived_cl273])).
% 1.16/0.91 thf(zip_derived_cl1080, plain, (![X0 : $i, X1 : $i]: ((X1) = (X0))),
% 1.16/0.91 inference('demod', [status(thm)],
% 1.16/0.91 [zip_derived_cl1070, zip_derived_cl1042])).
% 1.16/0.91 thf(zip_derived_cl1080, plain, (![X0 : $i, X1 : $i]: ((X1) = (X0))),
% 1.16/0.91 inference('demod', [status(thm)],
% 1.16/0.91 [zip_derived_cl1070, zip_derived_cl1042])).
% 1.16/0.91 thf(axiom_4a, axiom,
% 1.16/0.91 (![X4:$i]:
% 1.16/0.91 ( ?[Y9:$i]:
% 1.16/0.91 ( ( ( Y9 ) = ( X4 ) ) &
% 1.16/0.91 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 1.16/0.91 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 1.16/0.91 inference('cnf', [status(esa)], [axiom_4a])).
% 1.16/0.91 thf(zip_derived_cl63, plain, (![X0 : $i]: (((X0) = (sk_)) | ~ (r1 @ X0))),
% 1.16/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl1])).
% 1.16/0.91 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 1.16/0.91 inference('cnf', [status(esa)], [axiom_4a])).
% 1.16/0.91 thf(zip_derived_cl68, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl32])).
% 1.16/0.91 thf(zip_derived_cl78, plain, ( (r1 @ sk_)),
% 1.16/0.91 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl68])).
% 1.16/0.91 thf(zip_derived_cl1083, plain, (![X0 : $i]: (r1 @ X0)),
% 1.16/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl1080, zip_derived_cl78])).
% 1.16/0.91 thf(zip_derived_cl1233, plain, ($false),
% 1.16/0.91 inference('demod', [status(thm)],
% 1.16/0.91 [zip_derived_cl103, zip_derived_cl1080, zip_derived_cl1083])).
% 1.16/0.91
% 1.16/0.91 % SZS output end Refutation
% 1.16/0.91
% 1.16/0.91
% 1.16/0.91 % Terminating...
% 1.52/0.96 % Runner terminated.
% 1.52/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------