%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET791+4 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4aYIXKyi5T true
% Computer : n028.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 04:52:50 PM UTC 2025
% Result : Theorem 0.53s 0.85s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET791+4 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4aYIXKyi5T true
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 13:22:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.44/0.61 % Total configuration time : 435
% 0.44/0.61 % Estimated wc time : 1092
% 0.44/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.85 % Solved by fo/fo3_bce.sh.
% 0.53/0.85 % BCE start: 77
% 0.53/0.85 % BCE eliminated: 0
% 0.53/0.85 % PE start: 77
% 0.53/0.85 logic: eq
% 0.53/0.85 % PE eliminated: 14
% 0.53/0.85 % done 46 iterations in 0.094s
% 0.53/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.85 % SZS output start Refutation
% 0.53/0.85 thf(member_type, type, member: $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 0.53/0.85 thf(apply_type, type, apply: $i > $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 0.53/0.85 thf(max_type, type, max: $i > $i > $i > $o).
% 0.53/0.85 thf(order_type, type, order: $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $i > $o).
% 0.53/0.85 thf(sk__16_type, type, sk__16: $i).
% 0.53/0.85 thf(greatest_type, type, greatest: $i > $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $o).
% 0.53/0.85 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $i > $i > $o).
% 0.53/0.85 thf(sk__18_type, type, sk__18: $i).
% 0.53/0.85 thf(sk__17_type, type, sk__17: $i).
% 0.53/0.85 thf(sk__12_type, type, sk__12: $i > $i > $i > $i).
% 0.53/0.85 thf(thIV3, conjecture,
% 0.53/0.85 (![R:$i,E:$i,M:$i]:
% 0.53/0.85 ( ( ( order @ R @ E ) & ( greatest @ M @ R @ E ) ) => ( max @ M @ R @ E ) ))).
% 0.53/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.85 (~( ![R:$i,E:$i,M:$i]:
% 0.53/0.85 ( ( ( order @ R @ E ) & ( greatest @ M @ R @ E ) ) =>
% 0.53/0.85 ( max @ M @ R @ E ) ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [thIV3])).
% 0.53/0.85 thf(zip_derived_cl75, plain, ( (greatest @ sk__18 @ sk__16 @ sk__17)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.85 thf(greatest, axiom,
% 0.53/0.85 (![R:$i,E:$i,M:$i]:
% 0.53/0.85 ( ( greatest @ M @ R @ E ) <=>
% 0.53/0.85 ( ( member @ M @ E ) &
% 0.53/0.85 ( ![X:$i]: ( ( member @ X @ E ) => ( apply @ R @ X @ M ) ) ) ) ))).
% 0.53/0.85 thf(zip_derived_cl45, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (~ (member @ X0 @ X1)
% 0.53/0.85 | (apply @ X2 @ X0 @ X3)
% 0.53/0.85 | ~ (greatest @ X3 @ X2 @ X1))),
% 0.53/0.85 inference('cnf', [status(esa)], [greatest])).
% 0.53/0.85 thf(zip_derived_cl517, plain,
% 0.53/0.85 (![X0 : $i]: ( (apply @ sk__16 @ X0 @ sk__18) | ~ (member @ X0 @ sk__17))),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl75, zip_derived_cl45])).
% 0.53/0.85 thf(max, axiom,
% 0.53/0.85 (![R:$i,E:$i,M:$i]:
% 0.53/0.85 ( ( max @ M @ R @ E ) <=>
% 0.53/0.85 ( ( member @ M @ E ) &
% 0.53/0.85 ( ![X:$i]:
% 0.53/0.85 ( ( ( member @ X @ E ) & ( apply @ R @ M @ X ) ) =>
% 0.53/0.85 ( ( M ) = ( X ) ) ) ) ) ))).
% 0.53/0.85 thf(zip_derived_cl55, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ( (max @ X0 @ X1 @ X2)
% 0.53/0.85 | (apply @ X1 @ X0 @ (sk__12 @ X0 @ X2 @ X1))
% 0.53/0.85 | ~ (member @ X0 @ X2))),
% 0.53/0.85 inference('cnf', [status(esa)], [max])).
% 0.53/0.85 thf(zip_derived_cl74, plain, (~ (max @ sk__18 @ sk__16 @ sk__17)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.85 thf(zip_derived_cl533, plain,
% 0.53/0.85 ((~ (member @ sk__18 @ sk__17)
% 0.53/0.85 | (apply @ sk__16 @ sk__18 @ (sk__12 @ sk__18 @ sk__17 @ sk__16)))),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl55, zip_derived_cl74])).
% 0.53/0.85 thf(zip_derived_cl75, plain, ( (greatest @ sk__18 @ sk__16 @ sk__17)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.85 thf(zip_derived_cl44, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ( (member @ X0 @ X1) | ~ (greatest @ X0 @ X2 @ X1))),
% 0.53/0.85 inference('cnf', [status(esa)], [greatest])).
% 0.53/0.85 thf(zip_derived_cl516, plain, ( (member @ sk__18 @ sk__17)),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl75, zip_derived_cl44])).
% 0.53/0.85 thf(zip_derived_cl625, plain,
% 0.53/0.85 ( (apply @ sk__16 @ sk__18 @ (sk__12 @ sk__18 @ sk__17 @ sk__16))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl516])).
% 0.53/0.85 thf(order, axiom,
% 0.53/0.85 (![R:$i,E:$i]:
% 0.53/0.85 ( ( order @ R @ E ) <=>
% 0.53/0.85 ( ( ![X:$i,Y:$i,Z:$i]:
% 0.53/0.85 ( ( ( member @ Z @ E ) & ( member @ Y @ E ) & ( member @ X @ E ) ) =>
% 0.53/0.85 ( ( ( apply @ R @ Y @ Z ) & ( apply @ R @ X @ Y ) ) =>
% 0.53/0.85 ( apply @ R @ X @ Z ) ) ) ) &
% 0.53/0.85 ( ![X:$i,Y:$i]:
% 0.53/0.85 ( ( ( member @ Y @ E ) & ( member @ X @ E ) ) =>
% 0.53/0.85 ( ( ( apply @ R @ Y @ X ) & ( apply @ R @ X @ Y ) ) =>
% 0.53/0.85 ( ( X ) = ( Y ) ) ) ) ) &
% 0.53/0.85 ( ![X:$i]: ( ( member @ X @ E ) => ( apply @ R @ X @ X ) ) ) ) ))).
% 0.53/0.85 thf(zf_stmt_1, axiom,
% 0.53/0.85 (![Y:$i,X:$i,E:$i]:
% 0.53/0.85 ( ( zip_tseitin_4 @ Y @ X @ E ) <=>
% 0.53/0.85 ( ( member @ X @ E ) & ( member @ Y @ E ) ) ))).
% 0.53/0.85 thf(zip_derived_cl15, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ( (zip_tseitin_4 @ X0 @ X1 @ X2)
% 0.53/0.85 | ~ (member @ X0 @ X2)
% 0.53/0.85 | ~ (member @ X1 @ X2))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.85 thf(zf_stmt_2, axiom,
% 0.53/0.85 (![Y:$i,X:$i,E:$i,R:$i]:
% 0.53/0.85 ( ( zip_tseitin_7 @ Y @ X @ E @ R ) <=>
% 0.53/0.85 ( ( zip_tseitin_4 @ Y @ X @ E ) => ( zip_tseitin_6 @ Y @ X @ R ) ) ))).
% 0.53/0.85 thf(zip_derived_cl22, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (~ (zip_tseitin_4 @ X0 @ X1 @ X2)
% 0.53/0.85 | (zip_tseitin_6 @ X0 @ X1 @ X3)
% 0.53/0.85 | ~ (zip_tseitin_7 @ X0 @ X1 @ X2 @ X3))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.85 thf(zip_derived_cl505, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (~ (member @ X1 @ X0)
% 0.53/0.85 | ~ (member @ X2 @ X0)
% 0.53/0.85 | ~ (zip_tseitin_7 @ X2 @ X1 @ X0 @ X3)
% 0.53/0.85 | (zip_tseitin_6 @ X2 @ X1 @ X3))),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl15, zip_derived_cl22])).
% 0.53/0.85 thf(zf_stmt_3, axiom,
% 0.53/0.85 (![Y:$i,X:$i,R:$i]:
% 0.53/0.85 ( ( zip_tseitin_5 @ Y @ X @ R ) <=>
% 0.53/0.85 ( ( apply @ R @ X @ Y ) & ( apply @ R @ Y @ X ) ) ))).
% 0.53/0.85 thf(zip_derived_cl18, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ( (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.53/0.85 | ~ (apply @ X2 @ X0 @ X1)
% 0.53/0.85 | ~ (apply @ X2 @ X1 @ X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.85 thf(zf_stmt_4, axiom,
% 0.53/0.85 (![Y:$i,X:$i,R:$i]:
% 0.53/0.85 ( ( zip_tseitin_6 @ Y @ X @ R ) <=>
% 0.53/0.85 ( ( zip_tseitin_5 @ Y @ X @ R ) => ( ( X ) = ( Y ) ) ) ))).
% 0.53/0.85 thf(zip_derived_cl19, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 (~ (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.53/0.85 | ((X1) = (X0))
% 0.53/0.85 | ~ (zip_tseitin_6 @ X0 @ X1 @ X2))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.53/0.85 thf(zip_derived_cl502, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 (~ (apply @ X0 @ X1 @ X2)
% 0.53/0.85 | ~ (apply @ X0 @ X2 @ X1)
% 0.53/0.85 | ~ (zip_tseitin_6 @ X2 @ X1 @ X0)
% 0.53/0.85 | ((X1) = (X2)))),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl18, zip_derived_cl19])).
% 0.53/0.85 thf(zip_derived_cl544, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (~ (zip_tseitin_7 @ X2 @ X1 @ X0 @ X3)
% 0.53/0.85 | ~ (member @ X2 @ X0)
% 0.53/0.85 | ~ (member @ X1 @ X0)
% 0.53/0.85 | ((X1) = (X2))
% 0.53/0.85 | ~ (apply @ X3 @ X2 @ X1)
% 0.53/0.85 | ~ (apply @ X3 @ X1 @ X2))),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl505, zip_derived_cl502])).
% 0.53/0.85 thf(zip_derived_cl76, plain, ( (order @ sk__16 @ sk__17)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.85 thf(zf_stmt_5, type, zip_tseitin_8 : $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_6, axiom,
% 0.53/0.85 (![X:$i,E:$i,R:$i]:
% 0.53/0.85 ( ( zip_tseitin_8 @ X @ E @ R ) <=>
% 0.53/0.85 ( ( member @ X @ E ) => ( apply @ R @ X @ X ) ) ))).
% 0.53/0.85 thf(zf_stmt_7, type, zip_tseitin_7 : $i > $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_8, type, zip_tseitin_6 : $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_9, type, zip_tseitin_5 : $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_10, type, zip_tseitin_4 : $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_11, type, zip_tseitin_3 : $i > $i > $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_12, axiom,
% 0.53/0.85 (![Z:$i,Y:$i,X:$i,E:$i,R:$i]:
% 0.53/0.85 ( ( zip_tseitin_3 @ Z @ Y @ X @ E @ R ) <=>
% 0.53/0.85 ( ( zip_tseitin_0 @ Z @ Y @ X @ E ) => ( zip_tseitin_2 @ Z @ Y @ X @ R ) ) ))).
% 0.53/0.85 thf(zf_stmt_13, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_14, axiom,
% 0.53/0.85 (![Z:$i,Y:$i,X:$i,R:$i]:
% 0.53/0.85 ( ( zip_tseitin_2 @ Z @ Y @ X @ R ) <=>
% 0.53/0.85 ( ( zip_tseitin_1 @ Z @ Y @ X @ R ) => ( apply @ R @ X @ Z ) ) ))).
% 0.53/0.85 thf(zf_stmt_15, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_16, axiom,
% 0.53/0.85 (![Z:$i,Y:$i,X:$i,R:$i]:
% 0.53/0.85 ( ( zip_tseitin_1 @ Z @ Y @ X @ R ) <=>
% 0.53/0.85 ( ( apply @ R @ X @ Y ) & ( apply @ R @ Y @ Z ) ) ))).
% 0.53/0.85 thf(zf_stmt_17, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 0.53/0.85 thf(zf_stmt_18, axiom,
% 0.53/0.85 (![Z:$i,Y:$i,X:$i,E:$i]:
% 0.53/0.85 ( ( zip_tseitin_0 @ Z @ Y @ X @ E ) <=>
% 0.53/0.85 ( ( member @ X @ E ) & ( member @ Y @ E ) & ( member @ Z @ E ) ) ))).
% 0.53/0.85 thf(zf_stmt_19, axiom,
% 0.53/0.85 (![R:$i,E:$i]:
% 0.53/0.85 ( ( order @ R @ E ) <=>
% 0.53/0.85 ( ( ![X:$i]: ( zip_tseitin_8 @ X @ E @ R ) ) &
% 0.53/0.85 ( ![X:$i,Y:$i]: ( zip_tseitin_7 @ Y @ X @ E @ R ) ) &
% 0.53/0.85 ( ![X:$i,Y:$i,Z:$i]: ( zip_tseitin_3 @ Z @ Y @ X @ E @ R ) ) ) ))).
% 0.53/0.85 thf(zip_derived_cl29, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 ( (zip_tseitin_7 @ X0 @ X1 @ X2 @ X3) | ~ (order @ X3 @ X2))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.53/0.85 thf(zip_derived_cl579, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]: (zip_tseitin_7 @ X1 @ X0 @ sk__17 @ sk__16)),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl76, zip_derived_cl29])).
% 0.53/0.85 thf(zip_derived_cl647, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (~ (apply @ sk__16 @ X0 @ X1)
% 0.53/0.85 | ~ (apply @ sk__16 @ X1 @ X0)
% 0.53/0.85 | ((X0) = (X1))
% 0.53/0.85 | ~ (member @ X0 @ sk__17)
% 0.53/0.85 | ~ (member @ X1 @ sk__17))),
% 0.53/0.85 inference('sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl579])).
% 0.53/0.85 thf(zip_derived_cl658, plain,
% 0.53/0.85 ((~ (member @ (sk__12 @ sk__18 @ sk__17 @ sk__16) @ sk__17)
% 0.53/0.85 | ~ (member @ sk__18 @ sk__17)
% 0.53/0.85 | ((sk__18) = (sk__12 @ sk__18 @ sk__17 @ sk__16))
% 0.53/0.85 | ~ (apply @ sk__16 @ (sk__12 @ sk__18 @ sk__17 @ sk__16) @ sk__18))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl625, zip_derived_cl647])).
% 0.53/0.85 thf(zip_derived_cl54, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ( (max @ X0 @ X1 @ X2)
% 0.53/0.85 | (member @ (sk__12 @ X0 @ X2 @ X1) @ X2)
% 0.53/0.85 | ~ (member @ X0 @ X2))),
% 0.53/0.85 inference('cnf', [status(esa)], [max])).
% 0.53/0.85 thf(zip_derived_cl74, plain, (~ (max @ sk__18 @ sk__16 @ sk__17)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.85 thf(zip_derived_cl530, plain,
% 0.53/0.85 ((~ (member @ sk__18 @ sk__17)
% 0.53/0.85 | (member @ (sk__12 @ sk__18 @ sk__17 @ sk__16) @ sk__17))),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl54, zip_derived_cl74])).
% 0.53/0.85 thf(zip_derived_cl516, plain, ( (member @ sk__18 @ sk__17)),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl75, zip_derived_cl44])).
% 0.53/0.85 thf(zip_derived_cl603, plain,
% 0.53/0.85 ( (member @ (sk__12 @ sk__18 @ sk__17 @ sk__16) @ sk__17)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl530, zip_derived_cl516])).
% 0.53/0.85 thf(zip_derived_cl516, plain, ( (member @ sk__18 @ sk__17)),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl75, zip_derived_cl44])).
% 0.53/0.85 thf(zip_derived_cl664, plain,
% 0.53/0.85 ((((sk__18) = (sk__12 @ sk__18 @ sk__17 @ sk__16))
% 0.53/0.85 | ~ (apply @ sk__16 @ (sk__12 @ sk__18 @ sk__17 @ sk__16) @ sk__18))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl658, zip_derived_cl603, zip_derived_cl516])).
% 0.53/0.85 thf(zip_derived_cl56, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 ( (max @ X0 @ X1 @ X2)
% 0.53/0.85 | ((X0) != (sk__12 @ X0 @ X2 @ X1))
% 0.53/0.85 | ~ (member @ X0 @ X2))),
% 0.53/0.85 inference('cnf', [status(esa)], [max])).
% 0.53/0.85 thf(zip_derived_cl74, plain, (~ (max @ sk__18 @ sk__16 @ sk__17)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.85 thf(zip_derived_cl536, plain,
% 0.53/0.85 ((~ (member @ sk__18 @ sk__17)
% 0.53/0.85 | ((sk__18) != (sk__12 @ sk__18 @ sk__17 @ sk__16)))),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl56, zip_derived_cl74])).
% 0.53/0.85 thf(zip_derived_cl516, plain, ( (member @ sk__18 @ sk__17)),
% 0.53/0.85 inference('dp-resolution', [status(thm)],
% 0.53/0.85 [zip_derived_cl75, zip_derived_cl44])).
% 0.53/0.85 thf(zip_derived_cl600, plain,
% 0.53/0.85 (((sk__18) != (sk__12 @ sk__18 @ sk__17 @ sk__16))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl536, zip_derived_cl516])).
% 0.53/0.85 thf(zip_derived_cl665, plain,
% 0.53/0.85 (~ (apply @ sk__16 @ (sk__12 @ sk__18 @ sk__17 @ sk__16) @ sk__18)),
% 0.53/0.85 inference('simplify_reflect-', [status(thm)],
% 0.53/0.85 [zip_derived_cl664, zip_derived_cl600])).
% 0.53/0.85 thf(zip_derived_cl667, plain,
% 0.53/0.85 (~ (member @ (sk__12 @ sk__18 @ sk__17 @ sk__16) @ sk__17)),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl665])).
% 0.53/0.85 thf(zip_derived_cl603, plain,
% 0.53/0.85 ( (member @ (sk__12 @ sk__18 @ sk__17 @ sk__16) @ sk__17)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl530, zip_derived_cl516])).
% 0.53/0.85 thf(zip_derived_cl668, plain, ($false),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl667, zip_derived_cl603])).
% 0.53/0.85
% 0.53/0.85 % SZS output end Refutation
% 0.53/0.85
% 0.53/0.85
% 0.53/0.85 % Terminating...
% 2.02/0.94 % Runner terminated.
% 2.02/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------