%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN054+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.Usv11JMLvB true
% Computer : n010.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 04:48:53 PM UTC 2025
% Result : Theorem 0.58s 0.80s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUN054+2 : TPTP v9.2.0. Released v7.3.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Usv11JMLvB true
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 12:11:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.80 % Solved by fo/fo3_bce.sh.
% 0.58/0.80 % BCE start: 45
% 0.58/0.80 % BCE eliminated: 0
% 0.58/0.80 % PE start: 45
% 0.58/0.80 logic: eq
% 0.58/0.80 % PE eliminated: 13
% 0.58/0.80 % done 96 iterations in 0.051s
% 0.58/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.80 % SZS output start Refutation
% 0.58/0.80 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 0.58/0.80 thf(r3_type, type, r3: $i > $i > $i > $o).
% 0.58/0.80 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 0.58/0.80 thf(sk__type, type, sk_: $i).
% 0.58/0.80 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.58/0.80 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.58/0.80 thf(r2_type, type, r2: $i > $i > $o).
% 0.58/0.80 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 0.58/0.80 thf(sk__12_type, type, sk__12: $i > $i).
% 0.58/0.80 thf(sk__13_type, type, sk__13: $i > $i).
% 0.58/0.80 thf(r1_type, type, r1: $i > $o).
% 0.58/0.80 thf(sk__2_type, type, sk__2: $i > $i > $i).
% 0.58/0.80 thf(sk__1_type, type, sk__1: $i > $i).
% 0.58/0.80 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.58/0.80 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 0.58/0.80 thf(sk__6_type, type, sk__6: $i > $i > $i).
% 0.58/0.80 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 0.58/0.80 thf(sk__7_type, type, sk__7: $i > $i > $i).
% 0.58/0.80 thf(axiom_4a, axiom,
% 0.58/0.80 (![X4:$i]:
% 0.58/0.80 ( ?[Y9:$i]:
% 0.58/0.80 ( ( ( Y9 ) = ( X4 ) ) &
% 0.58/0.80 ( ?[Y16:$i]: ( ( r3 @ X4 @ Y16 @ Y9 ) & ( r1 @ Y16 ) ) ) ) ))).
% 0.58/0.80 thf(zip_derived_cl31, plain,
% 0.58/0.80 (![X0 : $i]: (r3 @ X0 @ (sk__13 @ X0) @ (sk__12 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_4a])).
% 0.58/0.80 thf(axiom_3, axiom,
% 0.58/0.80 (![X13:$i,X14:$i]:
% 0.58/0.80 ( ?[Y22:$i]:
% 0.58/0.80 ( ![X15:$i]:
% 0.58/0.80 ( ( ( ~( r3 @ X13 @ X14 @ X15 ) ) & ( ( X15 ) != ( Y22 ) ) ) |
% 0.58/0.80 ( ( r3 @ X13 @ X14 @ X15 ) & ( ( X15 ) = ( Y22 ) ) ) ) ) ))).
% 0.58/0.80 thf(zf_stmt_0, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 0.58/0.80 thf(zf_stmt_1, axiom,
% 0.58/0.80 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 0.58/0.80 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) =>
% 0.58/0.80 ( ( ( X15 ) = ( Y22 ) ) & ( r3 @ X13 @ X14 @ X15 ) ) ))).
% 0.58/0.80 thf(zf_stmt_2, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 0.58/0.80 thf(zf_stmt_3, axiom,
% 0.58/0.80 (![X15:$i,Y22:$i,X14:$i,X13:$i]:
% 0.58/0.80 ( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) =>
% 0.58/0.80 ( ( ( X15 ) != ( Y22 ) ) & ( ~( r3 @ X13 @ X14 @ X15 ) ) ) ))).
% 0.58/0.80 thf(zf_stmt_4, axiom,
% 0.58/0.80 (![X13:$i,X14:$i]:
% 0.58/0.80 ( ?[Y22:$i]:
% 0.58/0.80 ( ![X15:$i]:
% 0.58/0.80 ( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 ) |
% 0.58/0.80 ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ) ))).
% 0.58/0.80 thf(zip_derived_cl14, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ( (zip_tseitin_5 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2)
% 0.58/0.80 | (zip_tseitin_4 @ X0 @ (sk__2 @ X1 @ X2) @ X1 @ X2))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/0.80 thf(zip_derived_cl11, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80 (~ (r3 @ X0 @ X1 @ X2) | ~ (zip_tseitin_4 @ X2 @ X3 @ X1 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/0.80 thf(zip_derived_cl178, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 ( (zip_tseitin_5 @ X2 @ (sk__2 @ X1 @ X0) @ X1 @ X0)
% 0.58/0.80 | ~ (r3 @ X0 @ X1 @ X2))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl14, zip_derived_cl11])).
% 0.58/0.80 thf(zip_derived_cl12, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.80 thf(zip_derived_cl195, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl178, zip_derived_cl12])).
% 0.58/0.80 thf(zip_derived_cl212, plain,
% 0.58/0.80 (![X0 : $i]: ((sk__12 @ X0) = (sk__2 @ (sk__13 @ X0) @ X0))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl31, zip_derived_cl195])).
% 0.58/0.80 thf(zip_derived_cl33, plain, (![X0 : $i]: ((sk__12 @ X0) = (X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_4a])).
% 0.58/0.80 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_4a])).
% 0.58/0.80 thf(axiom_1, axiom,
% 0.58/0.80 (?[Y24:$i]:
% 0.58/0.80 ( ![X19:$i]:
% 0.58/0.80 ( ( ( ~( r1 @ X19 ) ) & ( ( X19 ) != ( Y24 ) ) ) |
% 0.58/0.80 ( ( r1 @ X19 ) & ( ( X19 ) = ( Y24 ) ) ) ) ))).
% 0.58/0.80 thf(zf_stmt_5, type, zip_tseitin_1 : $i > $i > $o).
% 0.58/0.80 thf(zf_stmt_6, axiom,
% 0.58/0.80 (![X19:$i,Y24:$i]:
% 0.58/0.80 ( ( zip_tseitin_1 @ X19 @ Y24 ) =>
% 0.58/0.80 ( ( ( X19 ) = ( Y24 ) ) & ( r1 @ X19 ) ) ))).
% 0.58/0.80 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $o).
% 0.58/0.80 thf(zf_stmt_8, axiom,
% 0.58/0.80 (![X19:$i,Y24:$i]:
% 0.58/0.80 ( ( zip_tseitin_0 @ X19 @ Y24 ) =>
% 0.58/0.80 ( ( ( X19 ) != ( Y24 ) ) & ( ~( r1 @ X19 ) ) ) ))).
% 0.58/0.80 thf(zf_stmt_9, axiom,
% 0.58/0.80 (?[Y24:$i]:
% 0.58/0.80 ( ![X19:$i]:
% 0.58/0.80 ( ( zip_tseitin_1 @ X19 @ Y24 ) | ( zip_tseitin_0 @ X19 @ Y24 ) ) ))).
% 0.58/0.80 thf(zip_derived_cl4, plain,
% 0.58/0.80 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | (zip_tseitin_0 @ X0 @ sk_))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/0.80 thf(zip_derived_cl1, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (~ (r1 @ X0) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.58/0.80 thf(zip_derived_cl172, plain,
% 0.58/0.80 (![X0 : $i]: ( (zip_tseitin_1 @ X0 @ sk_) | ~ (r1 @ X0))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl4, zip_derived_cl1])).
% 0.58/0.80 thf(zip_derived_cl2, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.58/0.80 thf(zip_derived_cl183, plain, (![X0 : $i]: (~ (r1 @ X0) | ((X0) = (sk_)))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl172, zip_derived_cl2])).
% 0.58/0.80 thf(zip_derived_cl217, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl183])).
% 0.58/0.80 thf(zip_derived_cl267, plain, (![X0 : $i]: ((X0) = (sk__2 @ sk_ @ X0))),
% 0.58/0.80 inference('demod', [status(thm)],
% 0.58/0.80 [zip_derived_cl212, zip_derived_cl33, zip_derived_cl217])).
% 0.58/0.80 thf(axiom_1a, axiom,
% 0.58/0.80 (![X1:$i,X8:$i]:
% 0.58/0.80 ( ?[Y4:$i]:
% 0.58/0.80 ( ( ?[Y7:$i]: ( ( r3 @ X1 @ X8 @ Y7 ) & ( r2 @ Y7 @ Y4 ) ) ) &
% 0.58/0.80 ( ?[Y5:$i]:
% 0.58/0.80 ( ( ( Y5 ) = ( Y4 ) ) &
% 0.58/0.80 ( ?[Y15:$i]: ( ( r3 @ X1 @ Y15 @ Y5 ) & ( r2 @ X8 @ Y15 ) ) ) ) ) ) ))).
% 0.58/0.80 thf(zip_derived_cl24, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (r2 @ (sk__5 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_1a])).
% 0.58/0.80 thf(zip_derived_cl23, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_1a])).
% 0.58/0.80 thf(zip_derived_cl195, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl178, zip_derived_cl12])).
% 0.58/0.80 thf(zip_derived_cl208, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((sk__5 @ X1 @ X0) = (sk__2 @ X1 @ X0))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl23, zip_derived_cl195])).
% 0.58/0.80 thf(zip_derived_cl249, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (r2 @ (sk__2 @ X0 @ X1) @ (sk__4 @ X0 @ X1))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl208])).
% 0.58/0.80 thf(zip_derived_cl22, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (r3 @ X0 @ (sk__7 @ X1 @ X0) @ (sk__6 @ X1 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_1a])).
% 0.58/0.80 thf(zip_derived_cl195, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (r3 @ X0 @ X1 @ X2) | ((X2) = (sk__2 @ X1 @ X0)))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl178, zip_derived_cl12])).
% 0.58/0.80 thf(zip_derived_cl206, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ((sk__6 @ X1 @ X0) = (sk__2 @ (sk__7 @ X1 @ X0) @ X0))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl22, zip_derived_cl195])).
% 0.58/0.80 thf(zip_derived_cl20, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((sk__6 @ X0 @ X1) = (sk__4 @ X0 @ X1))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_1a])).
% 0.58/0.80 thf(axiom_2, axiom,
% 0.58/0.80 (![X11:$i]:
% 0.58/0.80 ( ?[Y21:$i]:
% 0.58/0.80 ( ![X12:$i]:
% 0.58/0.80 ( ( ( ~( r2 @ X11 @ X12 ) ) & ( ( X12 ) != ( Y21 ) ) ) |
% 0.58/0.80 ( ( r2 @ X11 @ X12 ) & ( ( X12 ) = ( Y21 ) ) ) ) ) ))).
% 0.58/0.80 thf(zf_stmt_10, type, zip_tseitin_3 : $i > $i > $i > $o).
% 0.58/0.80 thf(zf_stmt_11, axiom,
% 0.58/0.80 (![X12:$i,Y21:$i,X11:$i]:
% 0.58/0.80 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) =>
% 0.58/0.80 ( ( ( X12 ) = ( Y21 ) ) & ( r2 @ X11 @ X12 ) ) ))).
% 0.58/0.80 thf(zf_stmt_12, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.58/0.80 thf(zf_stmt_13, axiom,
% 0.58/0.80 (![X12:$i,Y21:$i,X11:$i]:
% 0.58/0.80 ( ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) =>
% 0.58/0.80 ( ( ( X12 ) != ( Y21 ) ) & ( ~( r2 @ X11 @ X12 ) ) ) ))).
% 0.58/0.80 thf(zf_stmt_14, axiom,
% 0.58/0.80 (![X11:$i]:
% 0.58/0.80 ( ?[Y21:$i]:
% 0.58/0.80 ( ![X12:$i]:
% 0.58/0.80 ( ( zip_tseitin_3 @ X12 @ Y21 @ X11 ) |
% 0.58/0.80 ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ) ))).
% 0.58/0.80 thf(zip_derived_cl9, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ( (zip_tseitin_3 @ X0 @ (sk__1 @ X1) @ X1)
% 0.58/0.80 | (zip_tseitin_2 @ X0 @ (sk__1 @ X1) @ X1))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.58/0.80 thf(zip_derived_cl6, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (r2 @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.58/0.80 thf(zip_derived_cl176, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 ( (zip_tseitin_3 @ X1 @ (sk__1 @ X0) @ X0) | ~ (r2 @ X0 @ X1))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl9, zip_derived_cl6])).
% 0.58/0.80 thf(zip_derived_cl7, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (((X1) = (X0)) | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.58/0.80 thf(zip_derived_cl191, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (~ (r2 @ X0 @ X1) | ((X1) = (sk__1 @ X0)))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl176, zip_derived_cl7])).
% 0.58/0.80 thf(zip_derived_cl21, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_1a])).
% 0.58/0.80 thf(zip_derived_cl235, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 0.58/0.80 inference('sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl21])).
% 0.58/0.80 thf(zip_derived_cl322, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((sk__4 @ X1 @ X0) = (sk__2 @ (sk__1 @ X1) @ X0))),
% 0.58/0.80 inference('demod', [status(thm)],
% 0.58/0.80 [zip_derived_cl206, zip_derived_cl20, zip_derived_cl235])).
% 0.58/0.80 thf(zip_derived_cl371, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (r2 @ (sk__2 @ X0 @ X1) @ (sk__2 @ (sk__1 @ X0) @ X1))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl249, zip_derived_cl322])).
% 0.58/0.80 thf(zip_derived_cl21, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (r2 @ X0 @ (sk__7 @ X0 @ X1))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_1a])).
% 0.58/0.80 thf(zip_derived_cl235, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((sk__7 @ X1 @ X0) = (sk__1 @ X1))),
% 0.58/0.80 inference('sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl21])).
% 0.58/0.80 thf(zip_derived_cl292, plain, (![X0 : $i]: (r2 @ X0 @ (sk__1 @ X0))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl235])).
% 0.58/0.80 thf(zip_derived_cl23, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: (r3 @ X0 @ X1 @ (sk__5 @ X1 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_1a])).
% 0.58/0.80 thf(zeroplusoneeqone, conjecture,
% 0.58/0.80 (?[Y1:$i]:
% 0.58/0.80 ( ( ?[Y3:$i]:
% 0.58/0.80 ( ( ?[Y6:$i]: ( ( r2 @ Y6 @ Y3 ) & ( r1 @ Y6 ) ) ) &
% 0.58/0.80 ( ( Y1 ) = ( Y3 ) ) ) ) &
% 0.58/0.80 ( ?[Y2:$i]:
% 0.58/0.80 ( ( ?[Y5:$i]: ( ( r2 @ Y5 @ Y2 ) & ( r1 @ Y5 ) ) ) &
% 0.58/0.80 ( ?[Y4:$i]: ( ( r3 @ Y4 @ Y2 @ Y1 ) & ( r1 @ Y4 ) ) ) ) ) ))).
% 0.58/0.80 thf(zf_stmt_15, negated_conjecture,
% 0.58/0.80 (~( ?[Y1:$i]:
% 0.58/0.80 ( ( ?[Y3:$i]:
% 0.58/0.80 ( ( ?[Y6:$i]: ( ( r2 @ Y6 @ Y3 ) & ( r1 @ Y6 ) ) ) &
% 0.58/0.80 ( ( Y1 ) = ( Y3 ) ) ) ) &
% 0.58/0.80 ( ?[Y2:$i]:
% 0.58/0.80 ( ( ?[Y5:$i]: ( ( r2 @ Y5 @ Y2 ) & ( r1 @ Y5 ) ) ) &
% 0.58/0.80 ( ?[Y4:$i]: ( ( r3 @ Y4 @ Y2 @ Y1 ) & ( r1 @ Y4 ) ) ) ) ) ) )),
% 0.58/0.80 inference('cnf.neg', [status(esa)], [zeroplusoneeqone])).
% 0.58/0.80 thf(zip_derived_cl44, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/0.80 (((X1) != (X0))
% 0.58/0.80 | ~ (r2 @ X2 @ X0)
% 0.58/0.80 | ~ (r1 @ X2)
% 0.58/0.80 | ~ (r3 @ X3 @ X4 @ X1)
% 0.58/0.80 | ~ (r1 @ X3)
% 0.58/0.80 | ~ (r2 @ X5 @ X4)
% 0.58/0.80 | ~ (r1 @ X5))),
% 0.58/0.80 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.58/0.80 thf(zip_derived_cl207, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.80 (~ (r1 @ X4)
% 0.58/0.80 | ~ (r2 @ X4 @ X1)
% 0.58/0.80 | ~ (r1 @ X0)
% 0.58/0.80 | ~ (r1 @ X3)
% 0.58/0.80 | ~ (r2 @ X3 @ X2)
% 0.58/0.80 | ((sk__5 @ X1 @ X0) != (X2)))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl23, zip_derived_cl44])).
% 0.58/0.80 thf(zip_derived_cl208, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]: ((sk__5 @ X1 @ X0) = (sk__2 @ X1 @ X0))),
% 0.58/0.80 inference('dp-resolution', [status(thm)],
% 0.58/0.80 [zip_derived_cl23, zip_derived_cl195])).
% 0.58/0.80 thf(zip_derived_cl268, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.80 (~ (r1 @ X4)
% 0.58/0.80 | ~ (r2 @ X4 @ X1)
% 0.58/0.80 | ~ (r1 @ X0)
% 0.58/0.80 | ~ (r1 @ X3)
% 0.58/0.80 | ~ (r2 @ X3 @ X2)
% 0.58/0.80 | ((sk__2 @ X1 @ X0) != (X2)))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl207, zip_derived_cl208])).
% 0.58/0.80 thf(zip_derived_cl308, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.80 (((sk__2 @ (sk__1 @ X0) @ X1) != (X2))
% 0.58/0.80 | ~ (r2 @ X3 @ X2)
% 0.58/0.80 | ~ (r1 @ X3)
% 0.58/0.80 | ~ (r1 @ X1)
% 0.58/0.80 | ~ (r1 @ X0))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl292, zip_derived_cl268])).
% 0.58/0.80 thf(zip_derived_cl368, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.80 (~ (r1 @ X0)
% 0.58/0.80 | ~ (r1 @ X1)
% 0.58/0.80 | ~ (r1 @ X2)
% 0.58/0.80 | ~ (r2 @ X2 @ (sk__2 @ (sk__1 @ X0) @ X1)))),
% 0.58/0.80 inference('eq_res', [status(thm)], [zip_derived_cl308])).
% 0.58/0.80 thf(zip_derived_cl378, plain,
% 0.58/0.80 (![X0 : $i, X1 : $i]:
% 0.58/0.80 (~ (r1 @ (sk__2 @ X1 @ X0)) | ~ (r1 @ X0) | ~ (r1 @ X1))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl371, zip_derived_cl368])).
% 0.58/0.80 thf(zip_derived_cl394, plain,
% 0.58/0.80 (![X0 : $i]: (~ (r1 @ X0) | ~ (r1 @ sk_) | ~ (r1 @ X0))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl378])).
% 0.58/0.80 thf(zip_derived_cl32, plain, (![X0 : $i]: (r1 @ (sk__13 @ X0))),
% 0.58/0.80 inference('cnf', [status(esa)], [axiom_4a])).
% 0.58/0.80 thf(zip_derived_cl217, plain, (![X0 : $i]: ((sk__13 @ X0) = (sk_))),
% 0.58/0.80 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl183])).
% 0.58/0.80 thf(zip_derived_cl219, plain, ( (r1 @ sk_)),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl217])).
% 0.58/0.80 thf(zip_derived_cl395, plain, (![X0 : $i]: (~ (r1 @ X0) | ~ (r1 @ X0))),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl394, zip_derived_cl219])).
% 0.58/0.80 thf(zip_derived_cl396, plain, (![X0 : $i]: ~ (r1 @ X0)),
% 0.58/0.80 inference('simplify', [status(thm)], [zip_derived_cl395])).
% 0.58/0.80 thf(zip_derived_cl219, plain, ( (r1 @ sk_)),
% 0.58/0.80 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl217])).
% 0.58/0.80 thf(zip_derived_cl400, plain, ($false),
% 0.58/0.80 inference('sup+', [status(thm)], [zip_derived_cl396, zip_derived_cl219])).
% 0.58/0.80
% 0.58/0.80 % SZS output end Refutation
% 0.58/0.80
% 0.58/0.80
% 0.58/0.80 % Terminating...
% 1.78/0.85 % Runner terminated.
% 1.78/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------