%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN057+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.RhrxJGZjp4 true
% Computer : n004.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 0.55s 1.04s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN057+2 : TPTP v9.2.0. Released v7.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RhrxJGZjp4 true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:13:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /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
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/1.04 % Solved by fo/fo6_bce.sh.
% 0.55/1.04 % BCE start: 45
% 0.55/1.04 % BCE eliminated: 0
% 0.55/1.04 % PE start: 45
% 0.55/1.04 logic: eq
% 0.55/1.04 % PE eliminated: 15
% 0.55/1.04 % done 319 iterations in 0.296s
% 0.55/1.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/1.04 % SZS output start Refutation
% 0.55/1.04 thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.55/1.04 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 0.55/1.04 thf(sk__2_type, type, sk__2: $i > $i > $i).
% 0.55/1.04 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 0.55/1.04 thf(sk__1_type, type, sk__1: $i > $i).
% 0.55/1.04 thf(r2_type, type, r2: $i > $i > $o).
% 0.55/1.04 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 0.55/1.04 thf(sk__12_type, type, sk__12: $i > $i).
% 0.55/1.04 thf(r1_type, type, r1: $i > $o).
% 0.55/1.04 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.55/1.04 thf(sk__type, type, sk_: $i).
% 0.55/1.04 thf(sk__13_type, type, sk__13: $i > $i).
% 0.55/1.04 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 0.55/1.04 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.55/1.04 thf(sk__6_type, type, sk__6: $i > $i > $i).
% 0.55/1.04 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.55/1.04 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 0.55/1.04 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 0.55/1.04 thf(axiom_2, axiom,
% 0.55/1.04 (![X11:$i]:
% 0.55/1.04 ( ?[Y21:$i]:
% 0.55/1.04 ( ![X12:$i]:
% 0.55/1.04 ( ( ( ~( r2 @ X11 @ X12 ) ) & ( ( X12 ) != ( Y21 ) ) ) |
% 0.55/1.04 ( ( r2 @ X11 @ X12 ) & ( ( X12 ) = ( Y21 ) ) ) ) ) ))).
% 0.55/1.04 thf(zf_stmt_0, type, zip_tseitin_3 : $i > $i > $i > $o).
% 0.55/1.04 thf(zf_stmt_1, axiom,
% 0.55/1.04 (![X12:$i,Y21:$i,X11:$i]:
% 0.55/1.04 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) =>
% 0.55/1.04 ( ( ( X12 ) = ( Y21 ) ) & ( r2 @ X11 @ X12 ) ) ))).
% 0.55/1.04 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.55/1.04 thf(zf_stmt_3, axiom,
% 0.55/1.04 (![X12:$i,Y21:$i,X11:$i]:
% 0.55/1.04 ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) =>
% 0.55/1.04 ( ( ( X12 ) != ( Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))).
% 0.55/1.04 thf(zf_stmt_4, axiom,
% 0.55/1.04 (![X11:$i]:
% 0.55/1.04 ( ?[Y21:$i]:
% 0.55/1.04 ( ![X12:$i]:
% 0.55/1.04 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) |
% 0.55/1.04 ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ) ))).
% 0.55/1.04 thf(zip_derived_cl9, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]:
% 0.55/1.04 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 0.55/1.04 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/1.04 thf(zip_derived_cl5, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 (((X1) != (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/1.04 thf(zip_derived_cl181, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]:
% 0.55/1.04 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ((X1) != (sk__1 @ X0)))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl9, zip_derived_cl5])).
% 0.55/1.04 thf(zip_derived_cl8, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 ( (r2 @ X0 @ X1) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/1.04 thf(zip_derived_cl196, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (((X1) != (sk__1 @ X0)) | (r2 @ X0 @ X1))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl181, zip_derived_cl8])).
% 0.55/1.04 thf(zip_derived_cl258, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.55/1.04 inference('eq_res', [status(thm)], [zip_derived_cl196])).
% 0.55/1.04 thf(zip_derived_cl258, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.55/1.04 inference('eq_res', [status(thm)], [zip_derived_cl196])).
% 0.55/1.04 thf(zip_derived_cl258, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.55/1.04 inference('eq_res', [status(thm)], [zip_derived_cl196])).
% 0.55/1.04 thf(zip_derived_cl258, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.55/1.04 inference('eq_res', [status(thm)], [zip_derived_cl196])).
% 0.55/1.04 thf(axiom_4a, axiom,
% 0.55/1.04 (![X4:$i]:
% 0.55/1.04 ( ?[Y9:$i]:
% 0.55/1.04 ( ( ( Y9 ) = ( X4 ) ) &
% 0.55/1.04 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 0.55/1.04 thf(zip_derived_cl31, plain,
% 0.55/1.04 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/1.04 thf(axiom_1, axiom,
% 0.55/1.04 (?[Y24:$i]:
% 0.55/1.04 ( ![X19:$i]:
% 0.55/1.04 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 0.55/1.04 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 0.55/1.04 thf(zf_stmt_5, type, zip_tseitin_1 : $i > $i > $o).
% 0.55/1.04 thf(zf_stmt_6, axiom,
% 0.55/1.04 (![X19:$i,Y24:$i]:
% 0.55/1.04 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 0.55/1.04 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 0.55/1.04 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $o).
% 0.55/1.04 thf(zf_stmt_8, axiom,
% 0.55/1.04 (![X19:$i,Y24:$i]:
% 0.55/1.04 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 0.55/1.04 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 0.55/1.04 thf(zf_stmt_9, axiom,
% 0.55/1.04 (?[Y24:$i]:
% 0.55/1.04 ( ![X19:$i]:
% 0.55/1.04 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 0.55/1.04 thf(zip_derived_cl4, plain,
% 0.55/1.04 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/1.04 thf(zip_derived_cl1, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.55/1.04 thf(zip_derived_cl178, plain,
% 0.55/1.04 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl4, zip_derived_cl1])).
% 0.55/1.04 thf(zip_derived_cl2, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/1.04 thf(zip_derived_cl189, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl178, zip_derived_cl2])).
% 0.55/1.04 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/1.04 thf(zip_derived_cl230, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.55/1.04 inference('s_sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl32])).
% 0.55/1.04 thf(zip_derived_cl33, plain, (![X0 : $i]: ((sk__12 @ X0) = (X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/1.04 thf(zip_derived_cl262, plain, (![X0 : $i]: (r3 @ X0 @ sk_ @ X0)),
% 0.55/1.04 inference('demod', [status(thm)],
% 0.55/1.04 [zip_derived_cl31, zip_derived_cl230, zip_derived_cl33])).
% 0.55/1.04 thf(axiom_3, axiom,
% 0.55/1.04 (![X13:$i,X14:$i]:
% 0.55/1.04 ( ?[Y22:$i]:
% 0.55/1.04 ( ![X15:$i]:
% 0.55/1.04 ( ( ( ~( r3 @ X13 @ X14 @ X15 ) ) & ( ( X15 ) != ( Y22 ) ) ) |
% 0.55/1.04 ( ( r3 @ X13 @ X14 @ X15 ) & ( ( X15 ) = ( Y22 ) ) ) ) ) ))).
% 0.55/1.04 thf(zf_stmt_10, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 0.55/1.04 thf(zf_stmt_11, axiom,
% 0.55/1.04 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 0.55/1.04 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) =>
% 0.55/1.04 ( ( ( X15 ) = ( Y22 ) ) & ( r3 @ X13 @ X14 @ X15 ) ) ))).
% 0.55/1.04 thf(zf_stmt_12, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 0.55/1.04 thf(zf_stmt_13, axiom,
% 0.55/1.04 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 0.55/1.04 ( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) =>
% 0.55/1.04 ( ( ( X15 ) != ( Y22 ) ) & ( ~( r3 @ X13 @ X14 @ X15 ) ) ) ))).
% 0.55/1.04 thf(zf_stmt_14, axiom,
% 0.55/1.04 (![X13:$i,X14:$i]:
% 0.55/1.04 ( ?[Y22:$i]:
% 0.55/1.04 ( ![X15:$i]:
% 0.55/1.04 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) |
% 0.55/1.04 ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ) ))).
% 0.55/1.04 thf(zip_derived_cl14, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 ( (zip_tseitin_5 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2)
% 0.55/1.04 | (zip_tseitin_4 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.55/1.04 thf(zip_derived_cl11, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.04 (~ (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_4 @ X2 @ X3 @ X1 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.55/1.04 thf(zip_derived_cl184, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 ( (zip_tseitin_5 @ X2 @ (sk__2 @ X1 @ X0) @ X1 @ X0)
% 0.55/1.04 | ~ (r3 @ X0 @ X1 @ X2))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl14, zip_derived_cl11])).
% 0.55/1.04 thf(zip_derived_cl12, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.04 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.55/1.04 thf(zip_derived_cl201, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl184, zip_derived_cl12])).
% 0.55/1.04 thf(zip_derived_cl312, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl201])).
% 0.55/1.04 thf(axiom_1a, axiom,
% 0.55/1.04 (![X1:$i,X8:$i]:
% 0.55/1.04 ( ?[Y4:$i]:
% 0.55/1.04 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 0.55/1.04 ( ?[Y5:$i]:
% 0.55/1.04 ( ( ( Y5 ) = ( Y4 ) ) &
% 0.55/1.04 ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) ) ) ) ))).
% 0.55/1.04 thf(zip_derived_cl24, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r2 @ (sk__5 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/1.04 thf(zip_derived_cl23, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/1.04 thf(zip_derived_cl201, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl184, zip_derived_cl12])).
% 0.55/1.04 thf(zip_derived_cl311, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: ((sk__5 @ X1 @ X0) = (sk__2 @ X1 @ X0))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl201])).
% 0.55/1.04 thf(zip_derived_cl449, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl311])).
% 0.55/1.04 thf(zip_derived_cl511, plain, (![X0 : $i]: (r2 @ X0 @ (sk__4 @ sk_ @ X0))),
% 0.55/1.04 inference('s_sup+', [status(thm)], [zip_derived_cl312, zip_derived_cl449])).
% 0.55/1.04 thf(zip_derived_cl9, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]:
% 0.55/1.04 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 0.55/1.04 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/1.04 thf(zip_derived_cl6, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 (~ (r2 @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/1.04 thf(zip_derived_cl182, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]:
% 0.55/1.04 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ~ (r2 @ X0 @ X1))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl9, zip_derived_cl6])).
% 0.55/1.04 thf(zip_derived_cl7, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 (((X1) = (X0)) | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/1.04 thf(zip_derived_cl197, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl182, zip_derived_cl7])).
% 0.55/1.04 thf(zip_derived_cl531, plain,
% 0.55/1.04 (![X0 : $i]: ((sk__4 @ sk_ @ X0) = (sk__1 @ X0))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl511, zip_derived_cl197])).
% 0.55/1.04 thf(zip_derived_cl22, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__7 @ X1 @ X0) @ (sk__6 @ X1 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/1.04 thf(zip_derived_cl20, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: ((sk__6 @ X0 @ X1) = (sk__4 @ X0 @ X1))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/1.04 thf(zip_derived_cl240, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__7 @ X1 @ X0) @ (sk__4 @ X1 @ X0))),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl20])).
% 0.55/1.04 thf(zip_derived_cl21, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_1a])).
% 0.55/1.04 thf(zip_derived_cl197, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl182, zip_derived_cl7])).
% 0.55/1.04 thf(zip_derived_cl259, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl197])).
% 0.55/1.04 thf(zip_derived_cl368, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__1 @ X1) @ (sk__4 @ X1 @ X0))),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl240, zip_derived_cl259])).
% 0.55/1.04 thf(zip_derived_cl556, plain,
% 0.55/1.04 (![X0 : $i]: (r3 @ X0 @ (sk__1 @ sk_) @ (sk__1 @ X0))),
% 0.55/1.04 inference('s_sup+', [status(thm)], [zip_derived_cl531, zip_derived_cl368])).
% 0.55/1.04 thf(zip_derived_cl201, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.55/1.04 inference('dp-resolution', [status(thm)],
% 0.55/1.04 [zip_derived_cl184, zip_derived_cl12])).
% 0.55/1.04 thf(zip_derived_cl633, plain,
% 0.55/1.04 (![X0 : $i]: ((sk__1 @ X0) = (sk__2 @ (sk__1 @ sk_) @ X0))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl556, zip_derived_cl201])).
% 0.55/1.04 thf(zip_derived_cl449, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl311])).
% 0.55/1.04 thf(zip_derived_cl258, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.55/1.04 inference('eq_res', [status(thm)], [zip_derived_cl196])).
% 0.55/1.04 thf(zip_derived_cl368, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__1 @ X1) @ (sk__4 @ X1 @ X0))),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl240, zip_derived_cl259])).
% 0.55/1.04 thf(twoplustwoeqfour, conjecture,
% 0.55/1.04 (?[Y1:$i]:
% 0.55/1.04 ( ( ?[Y5:$i]:
% 0.55/1.04 ( ( ?[Y7:$i]:
% 0.55/1.04 ( ( ?[Y9:$i]: ( ( r2 @ Y9 @ Y7 ) & ( r1 @ Y9 ) ) ) &
% 0.55/1.04 ( r2 @ Y7 @ Y5 ) ) ) &
% 0.55/1.04 ( r3 @ Y5 @ Y5 @ Y1 ) ) ) &
% 0.55/1.04 ( ?[Y2:$i]:
% 0.55/1.04 ( ( ?[Y3:$i]:
% 0.55/1.04 ( ( ?[Y4:$i]:
% 0.55/1.04 ( ( ?[Y6:$i]:
% 0.55/1.04 ( ( ?[Y8:$i]: ( ( r2 @ Y8 @ Y6 ) & ( r1 @ Y8 ) ) ) &
% 0.55/1.04 ( r2 @ Y6 @ Y4 ) ) ) &
% 0.55/1.04 ( r2 @ Y4 @ Y3 ) ) ) &
% 0.55/1.04 ( r2 @ Y3 @ Y2 ) ) ) &
% 0.55/1.04 ( ( Y1 ) = ( Y2 ) ) ) ) ))).
% 0.55/1.04 thf(zf_stmt_15, negated_conjecture,
% 0.55/1.04 (~( ?[Y1:$i]:
% 0.55/1.04 ( ( ?[Y5:$i]:
% 0.55/1.04 ( ( ?[Y7:$i]:
% 0.55/1.04 ( ( ?[Y9:$i]: ( ( r2 @ Y9 @ Y7 ) & ( r1 @ Y9 ) ) ) &
% 0.55/1.04 ( r2 @ Y7 @ Y5 ) ) ) &
% 0.55/1.04 ( r3 @ Y5 @ Y5 @ Y1 ) ) ) &
% 0.55/1.04 ( ?[Y2:$i]:
% 0.55/1.04 ( ( ?[Y3:$i]:
% 0.55/1.04 ( ( ?[Y4:$i]:
% 0.55/1.04 ( ( ?[Y6:$i]:
% 0.55/1.04 ( ( ?[Y8:$i]: ( ( r2 @ Y8 @ Y6 ) & ( r1 @ Y8 ) ) ) &
% 0.55/1.04 ( r2 @ Y6 @ Y4 ) ) ) &
% 0.55/1.04 ( r2 @ Y4 @ Y3 ) ) ) &
% 0.55/1.04 ( r2 @ Y3 @ Y2 ) ) ) &
% 0.55/1.04 ( ( Y1 ) = ( Y2 ) ) ) ) ) )),
% 0.55/1.04 inference('cnf.neg', [status(esa)], [twoplustwoeqfour])).
% 0.55/1.04 thf(zip_derived_cl44, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.55/1.04 X7 : $i, X8 : $i]:
% 0.55/1.04 (~ (r3 @ X0 @ X0 @ X1)
% 0.55/1.04 | ~ (r1 @ X2)
% 0.55/1.04 | ~ (r2 @ X2 @ X3)
% 0.55/1.04 | ~ (r2 @ X3 @ X0)
% 0.55/1.04 | ((X1) != (X4))
% 0.55/1.04 | ~ (r2 @ X5 @ X6)
% 0.55/1.04 | ~ (r1 @ X7)
% 0.55/1.04 | ~ (r2 @ X7 @ X8)
% 0.55/1.04 | ~ (r2 @ X8 @ X5)
% 0.55/1.04 | ~ (r2 @ X6 @ X4))),
% 0.55/1.04 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.55/1.04 thf(zip_derived_cl267, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.55/1.04 (~ (r2 @ X1 @ X0)
% 0.55/1.04 | ~ (r2 @ X3 @ X2)
% 0.55/1.04 | ~ (r2 @ X4 @ X3)
% 0.55/1.04 | ~ (r1 @ X4)
% 0.55/1.04 | ~ (r2 @ X2 @ X1)
% 0.55/1.04 | ~ (r2 @ X6 @ X5)
% 0.55/1.04 | ~ (r2 @ X7 @ X6)
% 0.55/1.04 | ~ (r1 @ X7)
% 0.55/1.04 | ~ (r3 @ X5 @ X5 @ X0))),
% 0.55/1.04 inference('eq_res', [status(thm)], [zip_derived_cl44])).
% 0.55/1.04 thf(zip_derived_cl434, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.55/1.04 (~ (r2 @ X1 @ (sk__4 @ X0 @ (sk__1 @ X0)))
% 0.55/1.04 | ~ (r2 @ X3 @ X2)
% 0.55/1.04 | ~ (r2 @ X4 @ X3)
% 0.55/1.04 | ~ (r1 @ X4)
% 0.55/1.04 | ~ (r2 @ X2 @ X1)
% 0.55/1.04 | ~ (r2 @ X5 @ (sk__1 @ X0))
% 0.55/1.04 | ~ (r2 @ X6 @ X5)
% 0.55/1.04 | ~ (r1 @ X6))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl368, zip_derived_cl267])).
% 0.55/1.04 thf(zip_derived_cl525, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.55/1.04 (~ (r2 @ X1 @ (sk__4 @ X0 @ (sk__1 @ X0)))
% 0.55/1.04 | ~ (r2 @ X3 @ X2)
% 0.55/1.04 | ~ (r2 @ X4 @ X3)
% 0.55/1.04 | ~ (r1 @ X4)
% 0.55/1.04 | ~ (r2 @ X2 @ X1)
% 0.55/1.04 | ~ (r2 @ X5 @ X0)
% 0.55/1.04 | ~ (r1 @ X5))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl434])).
% 0.55/1.04 thf(zip_derived_cl539, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/1.04 (~ (r2 @ X2 @ X1)
% 0.55/1.04 | ~ (r2 @ X3 @ X2)
% 0.55/1.04 | ~ (r1 @ X3)
% 0.55/1.04 | ~ (r2 @ X1 @ (sk__2 @ X0 @ (sk__1 @ X0)))
% 0.55/1.04 | ~ (r2 @ X4 @ X0)
% 0.55/1.04 | ~ (r1 @ X4))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl525])).
% 0.55/1.04 thf(zip_derived_cl646, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.04 (~ (r2 @ X1 @ X0)
% 0.55/1.04 | ~ (r2 @ X2 @ X1)
% 0.55/1.04 | ~ (r1 @ X2)
% 0.55/1.04 | ~ (r2 @ X0 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_))))
% 0.55/1.04 | ~ (r2 @ X3 @ (sk__1 @ sk_))
% 0.55/1.04 | ~ (r1 @ X3))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl633, zip_derived_cl539])).
% 0.55/1.04 thf(zip_derived_cl1046, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 (~ (r2 @ X1 @ X0)
% 0.55/1.04 | ~ (r2 @ X2 @ X1)
% 0.55/1.04 | ~ (r1 @ X2)
% 0.55/1.04 | ~ (r2 @ X0 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_))))
% 0.55/1.04 | ~ (r1 @ sk_))),
% 0.55/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl646])).
% 0.55/1.04 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.55/1.04 inference('cnf', [status(esa)], [axiom_4a])).
% 0.55/1.04 thf(zip_derived_cl230, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.55/1.04 inference('s_sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl32])).
% 0.55/1.04 thf(zip_derived_cl234, plain, ( (r1 @ sk_)),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl230])).
% 0.55/1.04 thf(zip_derived_cl1051, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.04 (~ (r2 @ X1 @ X0)
% 0.55/1.04 | ~ (r2 @ X2 @ X1)
% 0.55/1.04 | ~ (r1 @ X2)
% 0.55/1.04 | ~ (r2 @ X0 @ (sk__1 @ (sk__1 @ (sk__1 @ sk_)))))),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl1046, zip_derived_cl234])).
% 0.55/1.04 thf(zip_derived_cl1212, plain,
% 0.55/1.04 (![X0 : $i, X1 : $i]:
% 0.55/1.04 (~ (r2 @ X0 @ (sk__1 @ (sk__1 @ sk_)))
% 0.55/1.04 | ~ (r2 @ X1 @ X0)
% 0.55/1.04 | ~ (r1 @ X1))),
% 0.55/1.04 inference('s_sup-', [status(thm)],
% 0.55/1.04 [zip_derived_cl258, zip_derived_cl1051])).
% 0.55/1.04 thf(zip_derived_cl1243, plain,
% 0.55/1.04 (![X0 : $i]: (~ (r2 @ X0 @ (sk__1 @ sk_)) | ~ (r1 @ X0))),
% 0.55/1.04 inference('s_sup-', [status(thm)],
% 0.55/1.04 [zip_derived_cl258, zip_derived_cl1212])).
% 0.55/1.04 thf(zip_derived_cl1270, plain, (~ (r1 @ sk_)),
% 0.55/1.04 inference('s_sup-', [status(thm)],
% 0.55/1.04 [zip_derived_cl258, zip_derived_cl1243])).
% 0.55/1.04 thf(zip_derived_cl234, plain, ( (r1 @ sk_)),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl230])).
% 0.55/1.04 thf(zip_derived_cl1274, plain, ($false),
% 0.55/1.04 inference('demod', [status(thm)], [zip_derived_cl1270, zip_derived_cl234])).
% 0.55/1.04
% 0.55/1.04 % SZS output end Refutation
% 0.55/1.04
% 0.55/1.04
% 0.55/1.04 % Terminating...
% 3.47/1.14 % Runner terminated.
% 3.47/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------