TSTP Solution File: PUZ008-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t61Hu4bUl8 true
% Computer : n026.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 Aug 31 13:30:34 EDT 2023
% Result : Unsatisfiable 1.74s 0.86s
% Output : Refutation 1.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t61Hu4bUl8 true
% 0.10/0.34 % Computer : n026.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sat Aug 26 22:51:48 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.10/0.34 % Running portfolio for 300 s
% 0.10/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Number of cores: 8
% 0.10/0.34 % Python version: Python 3.6.8
% 0.10/0.35 % Running in FO mode
% 0.17/0.57 % Total configuration time : 435
% 0.17/0.57 % Estimated wc time : 1092
% 0.17/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.74/0.86 % Solved by fo/fo5.sh.
% 1.74/0.86 % done 78 iterations in 0.072s
% 1.74/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.74/0.86 % SZS output start Refutation
% 1.74/0.86 thf(achievable_type, type, achievable: $i > $i > $i > $o).
% 1.74/0.86 thf(boatoneast_type, type, boatoneast: $i).
% 1.74/0.86 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 1.74/0.86 thf(c_type, type, c: $i > $i).
% 1.74/0.86 thf(west_type, type, west: $i > $i > $i).
% 1.74/0.86 thf(m_type, type, m: $i > $i).
% 1.74/0.86 thf(n0_type, type, n0: $i).
% 1.74/0.86 thf(boatonwest_type, type, boatonwest: $i).
% 1.74/0.86 thf(safe_type, type, safe: $i > $i > $o).
% 1.74/0.86 thf(east_type, type, east: $i > $i > $i).
% 1.74/0.86 thf(s_type, type, s: $i > $i).
% 1.74/0.86 thf(start_on_west_bank, axiom,
% 1.74/0.86 (achievable @
% 1.74/0.86 ( west @
% 1.74/0.86 ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @
% 1.74/0.86 boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ))).
% 1.74/0.86 thf(zip_derived_cl14, plain,
% 1.74/0.86 ( (achievable @
% 1.74/0.86 (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ (s @ (s @ n0))))) @
% 1.74/0.86 boatonwest @ (east @ (m @ n0) @ (c @ n0)))),
% 1.74/0.86 inference('cnf', [status(esa)], [start_on_west_bank])).
% 1.74/0.86 thf(two_cannibals_west_to_east, axiom,
% 1.74/0.86 (( ~( achievable @
% 1.74/0.86 ( west @ ( m @ X ) @ ( c @ ( s @ ( s @ Y ) ) ) ) @ boatonwest @
% 1.74/0.86 ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) |
% 1.74/0.86 ( ~( safe @ X @ Y ) ) | ( ~( safe @ Z @ ( s @ ( s @ W ) ) ) ) |
% 1.74/0.86 ( achievable @
% 1.74/0.86 ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @
% 1.74/0.86 ( east @ ( m @ Z ) @ ( c @ ( s @ ( s @ W ) ) ) ) ))).
% 1.74/0.86 thf(zip_derived_cl6, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ (s @ (s @ X1)))) @
% 1.74/0.86 boatonwest @ (east @ (m @ X2) @ (c @ X3)))
% 1.74/0.86 | ~ (safe @ X0 @ X1)
% 1.74/0.86 | ~ (safe @ X2 @ (s @ (s @ X3)))
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ X2) @ (c @ (s @ (s @ X3))))))),
% 1.74/0.86 inference('cnf', [status(esa)], [two_cannibals_west_to_east])).
% 1.74/0.86 thf(zip_derived_cl32, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ n0))) @
% 1.74/0.86 boatoneast @ (east @ (m @ n0) @ (c @ (s @ (s @ n0)))))
% 1.74/0.86 | ~ (safe @ n0 @ (s @ (s @ n0)))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl6])).
% 1.74/0.86 thf(no_missionaries_is_safe, axiom, (safe @ n0 @ X)).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(great_eq_base, axiom, (greater_or_equal @ X @ n0)).
% 1.74/0.86 thf(zip_derived_cl2, plain, (![X0 : $i]: (greater_or_equal @ X0 @ n0)),
% 1.74/0.86 inference('cnf', [status(esa)], [great_eq_base])).
% 1.74/0.86 thf(great_eq_recursive, axiom,
% 1.74/0.86 (( greater_or_equal @ ( s @ X ) @ ( s @ Y ) ) |
% 1.74/0.86 ( ~( greater_or_equal @ X @ Y ) ))).
% 1.74/0.86 thf(zip_derived_cl3, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i]:
% 1.74/0.86 ( (greater_or_equal @ (s @ X0) @ (s @ X1))
% 1.74/0.86 | ~ (greater_or_equal @ X0 @ X1))),
% 1.74/0.86 inference('cnf', [status(esa)], [great_eq_recursive])).
% 1.74/0.86 thf(zip_derived_cl17, plain,
% 1.74/0.86 (![X0 : $i]: (greater_or_equal @ (s @ X0) @ (s @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 1.74/0.86 thf(same_or_more_missionaries_is_safe, axiom,
% 1.74/0.86 (( ~( greater_or_equal @ X @ Y ) ) | ( safe @ X @ Y ))).
% 1.74/0.86 thf(zip_derived_cl1, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i]:
% 1.74/0.86 (~ (greater_or_equal @ X0 @ X1) | (safe @ X0 @ X1))),
% 1.74/0.86 inference('cnf', [status(esa)], [same_or_more_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl18, plain, (![X0 : $i]: (safe @ (s @ X0) @ (s @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl33, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ n0))) @
% 1.74/0.86 boatoneast @ (east @ (m @ n0) @ (c @ (s @ (s @ n0)))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl32, zip_derived_cl0, zip_derived_cl18])).
% 1.74/0.86 thf(cannibal_east_to_west, axiom,
% 1.74/0.86 (( ~( achievable @
% 1.74/0.86 ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @
% 1.74/0.86 ( east @ ( m @ Z ) @ ( c @ ( s @ W ) ) ) ) ) |
% 1.74/0.86 ( ~( safe @ X @ ( s @ Y ) ) ) | ( ~( safe @ Z @ W ) ) |
% 1.74/0.86 ( achievable @
% 1.74/0.86 ( west @ ( m @ X ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @
% 1.74/0.86 ( east @ ( m @ Z ) @ ( c @ W ) ) ))).
% 1.74/0.86 thf(zip_derived_cl5, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ X2) @ (c @ (s @ X3))))
% 1.74/0.86 | ~ (safe @ X0 @ (s @ X1))
% 1.74/0.86 | ~ (safe @ X2 @ X3)
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ (s @ X1))) @ boatonwest @
% 1.74/0.86 (east @ (m @ X2) @ (c @ X3))))),
% 1.74/0.86 inference('cnf', [status(esa)], [cannibal_east_to_west])).
% 1.74/0.86 thf(zip_derived_cl43, plain,
% 1.74/0.86 (( (achievable @
% 1.74/0.86 (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ (s @ n0)))) @
% 1.74/0.86 boatonwest @ (east @ (m @ n0) @ (c @ (s @ n0))))
% 1.74/0.86 | ~ (safe @ n0 @ (s @ n0))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ (s @ (s @ n0))))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl5])).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl17, plain,
% 1.74/0.86 (![X0 : $i]: (greater_or_equal @ (s @ X0) @ (s @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl3])).
% 1.74/0.86 thf(zip_derived_cl3, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i]:
% 1.74/0.86 ( (greater_or_equal @ (s @ X0) @ (s @ X1))
% 1.74/0.86 | ~ (greater_or_equal @ X0 @ X1))),
% 1.74/0.86 inference('cnf', [status(esa)], [great_eq_recursive])).
% 1.74/0.86 thf(zip_derived_cl19, plain,
% 1.74/0.86 (![X0 : $i]: (greater_or_equal @ (s @ (s @ X0)) @ (s @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl3])).
% 1.74/0.86 thf(zip_derived_cl1, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i]:
% 1.74/0.86 (~ (greater_or_equal @ X0 @ X1) | (safe @ X0 @ X1))),
% 1.74/0.86 inference('cnf', [status(esa)], [same_or_more_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl20, plain,
% 1.74/0.86 (![X0 : $i]: (safe @ (s @ (s @ X0)) @ (s @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl45, plain,
% 1.74/0.86 ( (achievable @
% 1.74/0.86 (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ (s @ n0)))) @
% 1.74/0.86 boatonwest @ (east @ (m @ n0) @ (c @ (s @ n0))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl43, zip_derived_cl0, zip_derived_cl20])).
% 1.74/0.86 thf(zip_derived_cl6, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ (s @ (s @ X1)))) @
% 1.74/0.86 boatonwest @ (east @ (m @ X2) @ (c @ X3)))
% 1.74/0.86 | ~ (safe @ X0 @ X1)
% 1.74/0.86 | ~ (safe @ X2 @ (s @ (s @ X3)))
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ X2) @ (c @ (s @ (s @ X3))))))),
% 1.74/0.86 inference('cnf', [status(esa)], [two_cannibals_west_to_east])).
% 1.74/0.86 thf(zip_derived_cl48, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ n0)) @
% 1.74/0.86 boatoneast @ (east @ (m @ n0) @ (c @ (s @ (s @ (s @ n0))))))
% 1.74/0.86 | ~ (safe @ n0 @ (s @ (s @ (s @ n0))))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl6])).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl2, plain, (![X0 : $i]: (greater_or_equal @ X0 @ n0)),
% 1.74/0.86 inference('cnf', [status(esa)], [great_eq_base])).
% 1.74/0.86 thf(zip_derived_cl1, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i]:
% 1.74/0.86 (~ (greater_or_equal @ X0 @ X1) | (safe @ X0 @ X1))),
% 1.74/0.86 inference('cnf', [status(esa)], [same_or_more_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl16, plain, (![X0 : $i]: (safe @ X0 @ n0)),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl52, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ n0)) @
% 1.74/0.86 boatoneast @ (east @ (m @ n0) @ (c @ (s @ (s @ (s @ n0))))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl48, zip_derived_cl0, zip_derived_cl16])).
% 1.74/0.86 thf(zip_derived_cl5, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ X2) @ (c @ (s @ X3))))
% 1.74/0.86 | ~ (safe @ X0 @ (s @ X1))
% 1.74/0.86 | ~ (safe @ X2 @ X3)
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ (s @ X1))) @ boatonwest @
% 1.74/0.86 (east @ (m @ X2) @ (c @ X3))))),
% 1.74/0.86 inference('cnf', [status(esa)], [cannibal_east_to_west])).
% 1.74/0.86 thf(zip_derived_cl59, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ n0))) @
% 1.74/0.86 boatonwest @ (east @ (m @ n0) @ (c @ (s @ (s @ n0)))))
% 1.74/0.86 | ~ (safe @ n0 @ (s @ (s @ n0)))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl5])).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl18, plain, (![X0 : $i]: (safe @ (s @ X0) @ (s @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl61, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ n0))) @
% 1.74/0.86 boatonwest @ (east @ (m @ n0) @ (c @ (s @ (s @ n0)))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl59, zip_derived_cl0, zip_derived_cl18])).
% 1.74/0.86 thf(two_missionaries_west_to_east, axiom,
% 1.74/0.86 (( ~( achievable @
% 1.74/0.86 ( west @ ( m @ ( s @ ( s @ X ) ) ) @ ( c @ Y ) ) @ boatonwest @
% 1.74/0.86 ( east @ ( m @ Z ) @ ( c @ W ) ) ) ) |
% 1.74/0.86 ( ~( safe @ X @ Y ) ) | ( ~( safe @ ( s @ ( s @ Z ) ) @ W ) ) |
% 1.74/0.86 ( achievable @
% 1.74/0.86 ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @
% 1.74/0.86 ( east @ ( m @ ( s @ ( s @ Z ) ) ) @ ( c @ W ) ) ))).
% 1.74/0.86 thf(zip_derived_cl10, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ (s @ (s @ X0))) @ (c @ X1)) @
% 1.74/0.86 boatonwest @ (east @ (m @ X2) @ (c @ X3)))
% 1.74/0.86 | ~ (safe @ X0 @ X1)
% 1.74/0.86 | ~ (safe @ (s @ (s @ X2)) @ X3)
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ X2))) @ (c @ X3))))),
% 1.74/0.86 inference('cnf', [status(esa)], [two_missionaries_west_to_east])).
% 1.74/0.86 thf(zip_derived_cl71, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ (s @ n0)) @ (c @ (s @ n0))) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ n0))) @ (c @ (s @ (s @ n0)))))
% 1.74/0.86 | ~ (safe @ (s @ (s @ n0)) @ (s @ (s @ n0)))
% 1.74/0.86 | ~ (safe @ (s @ n0) @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl10])).
% 1.74/0.86 thf(zip_derived_cl20, plain,
% 1.74/0.86 (![X0 : $i]: (safe @ (s @ (s @ X0)) @ (s @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl18, plain, (![X0 : $i]: (safe @ (s @ X0) @ (s @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl75, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ (s @ n0)) @ (c @ (s @ n0))) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ n0))) @ (c @ (s @ (s @ n0)))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl71, zip_derived_cl20, zip_derived_cl18])).
% 1.74/0.86 thf(missionary_and_cannibal_east_to_west, axiom,
% 1.74/0.86 (( ~( achievable @
% 1.74/0.86 ( west @ ( m @ X ) @ ( c @ Y ) ) @ boatoneast @
% 1.74/0.86 ( east @ ( m @ ( s @ Z ) ) @ ( c @ ( s @ W ) ) ) ) ) |
% 1.74/0.86 ( ~( safe @ ( s @ X ) @ ( s @ Y ) ) ) | ( ~( safe @ Z @ W ) ) |
% 1.74/0.86 ( achievable @
% 1.74/0.86 ( west @ ( m @ ( s @ X ) ) @ ( c @ ( s @ Y ) ) ) @ boatonwest @
% 1.74/0.86 ( east @ ( m @ Z ) @ ( c @ W ) ) ))).
% 1.74/0.86 thf(zip_derived_cl13, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ X2)) @ (c @ (s @ X3))))
% 1.74/0.86 | ~ (safe @ (s @ X0) @ (s @ X1))
% 1.74/0.86 | ~ (safe @ X2 @ X3)
% 1.74/0.86 | (achievable @ (west @ (m @ (s @ X0)) @ (c @ (s @ X1))) @
% 1.74/0.86 boatonwest @ (east @ (m @ X2) @ (c @ X3))))),
% 1.74/0.86 inference('cnf', [status(esa)], [missionary_and_cannibal_east_to_west])).
% 1.74/0.86 thf(zip_derived_cl83, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ (s @ (s @ n0))) @ (c @ (s @ (s @ n0)))) @
% 1.74/0.86 boatonwest @ (east @ (m @ (s @ n0)) @ (c @ (s @ n0))))
% 1.74/0.86 | ~ (safe @ (s @ n0) @ (s @ n0))
% 1.74/0.86 | ~ (safe @ (s @ (s @ n0)) @ (s @ (s @ n0))))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl13])).
% 1.74/0.86 thf(zip_derived_cl18, plain, (![X0 : $i]: (safe @ (s @ X0) @ (s @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl20, plain,
% 1.74/0.86 (![X0 : $i]: (safe @ (s @ (s @ X0)) @ (s @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl88, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ (s @ (s @ n0))) @ (c @ (s @ (s @ n0)))) @
% 1.74/0.86 boatonwest @ (east @ (m @ (s @ n0)) @ (c @ (s @ n0))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl83, zip_derived_cl18, zip_derived_cl20])).
% 1.74/0.86 thf(zip_derived_cl10, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ (s @ (s @ X0))) @ (c @ X1)) @
% 1.74/0.86 boatonwest @ (east @ (m @ X2) @ (c @ X3)))
% 1.74/0.86 | ~ (safe @ X0 @ X1)
% 1.74/0.86 | ~ (safe @ (s @ (s @ X2)) @ X3)
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ X2))) @ (c @ X3))))),
% 1.74/0.86 inference('cnf', [status(esa)], [two_missionaries_west_to_east])).
% 1.74/0.86 thf(zip_derived_cl92, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ n0) @ (c @ (s @ (s @ n0)))) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ n0))))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ (s @ n0))
% 1.74/0.86 | ~ (safe @ n0 @ (s @ (s @ n0))))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl10])).
% 1.74/0.86 thf(zip_derived_cl18, plain, (![X0 : $i]: (safe @ (s @ X0) @ (s @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl97, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ n0) @ (c @ (s @ (s @ n0)))) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ n0))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl92, zip_derived_cl18, zip_derived_cl0])).
% 1.74/0.86 thf(zip_derived_cl5, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ X2) @ (c @ (s @ X3))))
% 1.74/0.86 | ~ (safe @ X0 @ (s @ X1))
% 1.74/0.86 | ~ (safe @ X2 @ X3)
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ (s @ X1))) @ boatonwest @
% 1.74/0.86 (east @ (m @ X2) @ (c @ X3))))),
% 1.74/0.86 inference('cnf', [status(esa)], [cannibal_east_to_west])).
% 1.74/0.86 thf(zip_derived_cl99, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ n0) @ (c @ (s @ (s @ (s @ n0))))) @
% 1.74/0.86 boatonwest @ (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ n0)))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ n0)
% 1.74/0.86 | ~ (safe @ n0 @ (s @ (s @ (s @ n0)))))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl5])).
% 1.74/0.86 thf(zip_derived_cl16, plain, (![X0 : $i]: (safe @ X0 @ n0)),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl103, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ n0) @ (c @ (s @ (s @ (s @ n0))))) @
% 1.74/0.86 boatonwest @ (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ n0)))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl99, zip_derived_cl16, zip_derived_cl0])).
% 1.74/0.86 thf(zip_derived_cl6, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ (s @ (s @ X1)))) @
% 1.74/0.86 boatonwest @ (east @ (m @ X2) @ (c @ X3)))
% 1.74/0.86 | ~ (safe @ X0 @ X1)
% 1.74/0.86 | ~ (safe @ X2 @ (s @ (s @ X3)))
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ X2) @ (c @ (s @ (s @ X3))))))),
% 1.74/0.86 inference('cnf', [status(esa)], [two_cannibals_west_to_east])).
% 1.74/0.86 thf(zip_derived_cl108, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ n0) @ (c @ (s @ n0))) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ (s @ n0)))))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ (s @ (s @ n0)))
% 1.74/0.86 | ~ (safe @ n0 @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl6])).
% 1.74/0.86 thf(zip_derived_cl20, plain,
% 1.74/0.86 (![X0 : $i]: (safe @ (s @ (s @ X0)) @ (s @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl110, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ n0) @ (c @ (s @ n0))) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ (s @ n0)))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl108, zip_derived_cl20, zip_derived_cl0])).
% 1.74/0.86 thf(zip_derived_cl5, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ X2) @ (c @ (s @ X3))))
% 1.74/0.86 | ~ (safe @ X0 @ (s @ X1))
% 1.74/0.86 | ~ (safe @ X2 @ X3)
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ (s @ X1))) @ boatonwest @
% 1.74/0.86 (east @ (m @ X2) @ (c @ X3))))),
% 1.74/0.86 inference('cnf', [status(esa)], [cannibal_east_to_west])).
% 1.74/0.86 thf(zip_derived_cl111, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ n0) @ (c @ (s @ (s @ n0)))) @ boatonwest @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ n0))))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ (s @ n0))
% 1.74/0.86 | ~ (safe @ n0 @ (s @ (s @ n0))))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl5])).
% 1.74/0.86 thf(zip_derived_cl18, plain, (![X0 : $i]: (safe @ (s @ X0) @ (s @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl116, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ n0) @ (c @ (s @ (s @ n0)))) @ boatonwest @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ n0))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl111, zip_derived_cl18, zip_derived_cl0])).
% 1.74/0.86 thf(zip_derived_cl6, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.74/0.86 (~ (achievable @ (west @ (m @ X0) @ (c @ (s @ (s @ X1)))) @
% 1.74/0.86 boatonwest @ (east @ (m @ X2) @ (c @ X3)))
% 1.74/0.86 | ~ (safe @ X0 @ X1)
% 1.74/0.86 | ~ (safe @ X2 @ (s @ (s @ X3)))
% 1.74/0.86 | (achievable @ (west @ (m @ X0) @ (c @ X1)) @ boatoneast @
% 1.74/0.86 (east @ (m @ X2) @ (c @ (s @ (s @ X3))))))),
% 1.74/0.86 inference('cnf', [status(esa)], [two_cannibals_west_to_east])).
% 1.74/0.86 thf(zip_derived_cl122, plain,
% 1.74/0.86 (( (achievable @ (west @ (m @ n0) @ (c @ n0)) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ (s @ (s @ n0))))))
% 1.74/0.86 | ~ (safe @ (s @ (s @ (s @ n0))) @ (s @ (s @ (s @ n0))))
% 1.74/0.86 | ~ (safe @ n0 @ n0))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl6])).
% 1.74/0.86 thf(zip_derived_cl19, plain,
% 1.74/0.86 (![X0 : $i]: (greater_or_equal @ (s @ (s @ X0)) @ (s @ (s @ n0)))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl3])).
% 1.74/0.86 thf(zip_derived_cl3, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i]:
% 1.74/0.86 ( (greater_or_equal @ (s @ X0) @ (s @ X1))
% 1.74/0.86 | ~ (greater_or_equal @ X0 @ X1))),
% 1.74/0.86 inference('cnf', [status(esa)], [great_eq_recursive])).
% 1.74/0.86 thf(zip_derived_cl21, plain,
% 1.74/0.86 (![X0 : $i]:
% 1.74/0.86 (greater_or_equal @ (s @ (s @ (s @ X0))) @ (s @ (s @ (s @ n0))))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 1.74/0.86 thf(zip_derived_cl1, plain,
% 1.74/0.86 (![X0 : $i, X1 : $i]:
% 1.74/0.86 (~ (greater_or_equal @ X0 @ X1) | (safe @ X0 @ X1))),
% 1.74/0.86 inference('cnf', [status(esa)], [same_or_more_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl24, plain,
% 1.74/0.86 (![X0 : $i]: (safe @ (s @ (s @ (s @ X0))) @ (s @ (s @ (s @ n0))))),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 1.74/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (safe @ n0 @ X0)),
% 1.74/0.86 inference('cnf', [status(esa)], [no_missionaries_is_safe])).
% 1.74/0.86 thf(zip_derived_cl124, plain,
% 1.74/0.86 ( (achievable @ (west @ (m @ n0) @ (c @ n0)) @ boatoneast @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ (s @ (s @ n0))))))),
% 1.74/0.86 inference('demod', [status(thm)],
% 1.74/0.86 [zip_derived_cl122, zip_derived_cl24, zip_derived_cl0])).
% 1.74/0.86 thf(prove_can_get_to_east_bank, conjecture,
% 1.74/0.86 (achievable @
% 1.74/0.86 ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ X @
% 1.74/0.86 ( east @
% 1.74/0.86 ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ))).
% 1.74/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.74/0.86 (~( achievable @
% 1.74/0.86 ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ X @
% 1.74/0.86 ( east @
% 1.74/0.86 ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @
% 1.74/0.86 ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) )),
% 1.74/0.86 inference('cnf.neg', [status(esa)], [prove_can_get_to_east_bank])).
% 1.74/0.86 thf(zip_derived_cl15, plain,
% 1.74/0.86 (![X0 : $i]:
% 1.74/0.86 ~ (achievable @ (west @ (m @ n0) @ (c @ n0)) @ X0 @
% 1.74/0.86 (east @ (m @ (s @ (s @ (s @ n0)))) @ (c @ (s @ (s @ (s @ n0))))))),
% 1.74/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.74/0.86 thf(zip_derived_cl131, plain, ($false),
% 1.74/0.86 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl15])).
% 1.74/0.86
% 1.74/0.86 % SZS output end Refutation
% 1.74/0.86
% 1.74/0.86
% 1.74/0.86 % Terminating...
% 1.74/0.90 % Runner terminated.
% 1.74/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------