TSTP Solution File: LCL187-3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL187-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HCM57ii6tb true
% Computer : n022.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 08:58:36 EDT 2023
% Result : Unsatisfiable 0.21s 0.82s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL187-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HCM57ii6tb true
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 25 05:21:40 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.82 % Solved by fo/fo6_bce.sh.
% 0.21/0.82 % BCE start: 9
% 0.21/0.82 % BCE eliminated: 0
% 0.21/0.82 % PE start: 9
% 0.21/0.82 logic: eq
% 0.21/0.82 % PE eliminated: 1
% 0.21/0.82 % done 181 iterations in 0.127s
% 0.21/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.82 % SZS output start Refutation
% 0.21/0.82 thf(axiom_type, type, axiom: $i > $o).
% 0.21/0.82 thf(implies_type, type, implies: $i > $i > $i).
% 0.21/0.82 thf(p_type, type, p: $i).
% 0.21/0.82 thf(or_type, type, or: $i > $i > $i).
% 0.21/0.82 thf(q_type, type, q: $i).
% 0.21/0.82 thf(theorem_type, type, theorem: $i > $o).
% 0.21/0.82 thf(not_type, type, not: $i > $i).
% 0.21/0.82 thf(prove_this, conjecture,
% 0.21/0.82 (theorem @ ( implies @ p @ ( implies @ ( not @ p ) @ q ) ))).
% 0.21/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.21/0.82 (~( theorem @ ( implies @ p @ ( implies @ ( not @ p ) @ q ) ) )),
% 0.21/0.82 inference('cnf.neg', [status(esa)], [prove_this])).
% 0.21/0.82 thf(zip_derived_cl8, plain,
% 0.21/0.82 (~ (theorem @ (implies @ p @ (implies @ (not @ p) @ q)))),
% 0.21/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.82 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 0.21/0.82 thf(zip_derived_cl1, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.21/0.82 inference('cnf', [status(esa)], [axiom_1_3])).
% 0.21/0.82 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 0.21/0.82 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.21/0.82 inference('cnf', [status(esa)], [rule_1])).
% 0.21/0.82 thf(zip_derived_cl32, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.21/0.82 inference('dp-resolution', [status(thm)],
% 0.21/0.82 [zip_derived_cl1, zip_derived_cl6])).
% 0.21/0.82 thf(implies_definition, axiom,
% 0.21/0.82 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.21/0.82 thf(axiom_1_4, axiom,
% 0.21/0.82 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 0.21/0.82 thf(zip_derived_cl2, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 0.21/0.82 inference('cnf', [status(esa)], [axiom_1_4])).
% 0.21/0.82 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.21/0.82 inference('cnf', [status(esa)], [rule_1])).
% 0.21/0.82 thf(zip_derived_cl33, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 0.21/0.82 inference('dp-resolution', [status(thm)],
% 0.21/0.82 [zip_derived_cl2, zip_derived_cl6])).
% 0.21/0.82 thf(zip_derived_cl48, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.21/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.21/0.82 thf(axiom_1_6, axiom,
% 0.21/0.82 (axiom @
% 0.21/0.82 ( implies @
% 0.21/0.82 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 0.21/0.82 thf(zip_derived_cl4, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 (axiom @
% 0.21/0.82 (implies @ (implies @ X0 @ X1) @
% 0.21/0.82 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 0.21/0.82 inference('cnf', [status(esa)], [axiom_1_6])).
% 0.21/0.82 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.21/0.82 inference('cnf', [status(esa)], [rule_1])).
% 0.21/0.82 thf(zip_derived_cl35, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 (theorem @
% 0.21/0.82 (implies @ (implies @ X2 @ X0) @
% 0.21/0.82 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 0.21/0.82 inference('dp-resolution', [status(thm)],
% 0.21/0.82 [zip_derived_cl4, zip_derived_cl6])).
% 0.21/0.82 thf(rule_2, axiom,
% 0.21/0.82 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 0.21/0.82 ( ~( theorem @ Y ) ))).
% 0.21/0.82 thf(zip_derived_cl7, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 ( (theorem @ X0)
% 0.21/0.82 | ~ (theorem @ (implies @ X1 @ X0))
% 0.21/0.82 | ~ (theorem @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [rule_2])).
% 0.21/0.82 thf(zip_derived_cl68, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 0.21/0.82 | ~ (theorem @ (implies @ X2 @ X0)))),
% 0.21/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 0.21/0.82 thf(zip_derived_cl117, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0)))
% 0.21/0.82 | ~ (theorem @ (implies @ X2 @ X0)))),
% 0.21/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl68])).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.21/0.82 thf(zip_derived_cl119, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 0.21/0.82 | ~ (theorem @ (implies @ X2 @ X0)))),
% 0.21/0.82 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl5])).
% 0.21/0.82 thf(zip_derived_cl7, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 ( (theorem @ X0)
% 0.21/0.82 | ~ (theorem @ (implies @ X1 @ X0))
% 0.21/0.82 | ~ (theorem @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [rule_2])).
% 0.21/0.82 thf(zip_derived_cl127, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 (~ (theorem @ (implies @ X2 @ X0))
% 0.21/0.82 | (theorem @ (implies @ X1 @ X0))
% 0.21/0.82 | ~ (theorem @ (implies @ X1 @ X2)))),
% 0.21/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl7])).
% 0.21/0.82 thf(zip_derived_cl141, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.21/0.82 | ~ (theorem @ (implies @ X2 @ (or @ X0 @ (not @ X1)))))),
% 0.21/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl127])).
% 0.21/0.82 thf(zip_derived_cl626, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 (theorem @ (implies @ (not @ X0) @ (implies @ X0 @ X1)))),
% 0.21/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl141])).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.21/0.82 thf(axiom_1_5, axiom,
% 0.21/0.82 (axiom @
% 0.21/0.82 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 0.21/0.82 thf(zip_derived_cl3, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 (axiom @
% 0.21/0.82 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 0.21/0.82 inference('cnf', [status(esa)], [axiom_1_5])).
% 0.21/0.82 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.21/0.82 inference('cnf', [status(esa)], [rule_1])).
% 0.21/0.82 thf(zip_derived_cl34, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 (theorem @
% 0.21/0.82 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 0.21/0.82 inference('dp-resolution', [status(thm)],
% 0.21/0.82 [zip_derived_cl3, zip_derived_cl6])).
% 0.21/0.82 thf(zip_derived_cl7, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 ( (theorem @ X0)
% 0.21/0.82 | ~ (theorem @ (implies @ X1 @ X0))
% 0.21/0.82 | ~ (theorem @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [rule_2])).
% 0.21/0.82 thf(zip_derived_cl55, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 0.21/0.82 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 0.21/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 0.21/0.82 thf(zip_derived_cl95, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0)))
% 0.21/0.82 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 0.21/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl55])).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.21/0.82 thf(zip_derived_cl98, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (or @ X1 @ (implies @ X2 @ X0)))
% 0.21/0.82 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 0.21/0.82 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl5])).
% 0.21/0.82 thf(zip_derived_cl237, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.21/0.82 | ~ (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 0.21/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl98])).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [implies_definition])).
% 0.21/0.82 thf(zip_derived_cl238, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 ( (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.21/0.82 | ~ (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 0.21/0.82 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl5])).
% 0.21/0.82 thf(zip_derived_cl674, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 (theorem @ (implies @ X1 @ (implies @ (not @ X1) @ X0)))),
% 0.21/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl626, zip_derived_cl238])).
% 0.21/0.82 thf(zip_derived_cl675, plain, ($false),
% 0.21/0.82 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl674])).
% 0.21/0.82
% 0.21/0.82 % SZS output end Refutation
% 0.21/0.82
% 0.21/0.82
% 0.21/0.82 % Terminating...
% 1.49/0.95 % Runner terminated.
% 1.51/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------