TSTP Solution File: LCL366-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL366-1 : TPTP v8.1.2. Bugfixed v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c2eYHSlZLh 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 08:59:25 EDT 2023
% Result : Unsatisfiable 23.95s 4.01s
% Output : Refutation 23.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL366-1 : TPTP v8.1.2. Bugfixed v5.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c2eYHSlZLh true
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 22:38:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 23.95/4.01 % Solved by fo/fo6_bce.sh.
% 23.95/4.01 % BCE start: 5
% 23.95/4.01 % BCE eliminated: 0
% 23.95/4.01 % PE start: 5
% 23.95/4.01 logic: neq
% 23.95/4.01 % PE eliminated: 0
% 23.95/4.01 % done 1044 iterations in 3.278s
% 23.95/4.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.95/4.01 % SZS output start Refutation
% 23.95/4.01 thf(y_type, type, y: $i).
% 23.95/4.01 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 23.95/4.01 thf(implies_type, type, implies: $i > $i > $i).
% 23.95/4.01 thf(not_type, type, not: $i > $i).
% 23.95/4.01 thf(x_type, type, x: $i).
% 23.95/4.01 thf(cn_2, axiom,
% 23.95/4.01 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 23.95/4.01 thf(zip_derived_cl2, plain,
% 23.95/4.01 (![X0 : $i]:
% 23.95/4.01 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 23.95/4.01 inference('cnf', [status(esa)], [cn_2])).
% 23.95/4.01 thf(zip_derived_cl2, plain,
% 23.95/4.01 (![X0 : $i]:
% 23.95/4.01 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 23.95/4.01 inference('cnf', [status(esa)], [cn_2])).
% 23.95/4.01 thf(cn_3, axiom,
% 23.95/4.01 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 23.95/4.01 thf(zip_derived_cl3, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i]:
% 23.95/4.01 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 23.95/4.01 inference('cnf', [status(esa)], [cn_3])).
% 23.95/4.01 thf(condensed_detachment, axiom,
% 23.95/4.01 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 23.95/4.01 ( is_a_theorem @ Y ))).
% 23.95/4.01 thf(zip_derived_cl0, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 23.95/4.01 | ~ (is_a_theorem @ X0)
% 23.95/4.01 | (is_a_theorem @ X1))),
% 23.95/4.01 inference('cnf', [status(esa)], [condensed_detachment])).
% 23.95/4.01 thf(zip_derived_cl7, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 23.95/4.01 thf(cn_1, axiom,
% 23.95/4.01 (is_a_theorem @
% 23.95/4.01 ( implies @
% 23.95/4.01 ( implies @ X @ Y ) @
% 23.95/4.01 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 23.95/4.01 thf(zip_derived_cl1, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ X0 @ X1) @
% 23.95/4.01 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 23.95/4.01 inference('cnf', [status(esa)], [cn_1])).
% 23.95/4.01 thf(zip_derived_cl0, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 23.95/4.01 | ~ (is_a_theorem @ X0)
% 23.95/4.01 | (is_a_theorem @ X1))),
% 23.95/4.01 inference('cnf', [status(esa)], [condensed_detachment])).
% 23.95/4.01 thf(zip_derived_cl6, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 23.95/4.01 thf(zip_derived_cl3, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i]:
% 23.95/4.01 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 23.95/4.01 inference('cnf', [status(esa)], [cn_3])).
% 23.95/4.01 thf(zip_derived_cl6, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 23.95/4.01 thf(zip_derived_cl0, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 23.95/4.01 | ~ (is_a_theorem @ X0)
% 23.95/4.01 | (is_a_theorem @ X1))),
% 23.95/4.01 inference('cnf', [status(esa)], [condensed_detachment])).
% 23.95/4.01 thf(zip_derived_cl11, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 23.95/4.01 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 23.95/4.01 thf(zip_derived_cl12, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2))
% 23.95/4.01 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 23.95/4.01 thf(zip_derived_cl22, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ (not @ X2)))
% 23.95/4.01 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 23.95/4.01 thf(zip_derived_cl60, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ X1)
% 23.95/4.01 | (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl22])).
% 23.95/4.01 thf(zip_derived_cl11, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 23.95/4.01 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 23.95/4.01 thf(zip_derived_cl75, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ X1)
% 23.95/4.01 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3))
% 23.95/4.01 | (is_a_theorem @ (implies @ X2 @ X3)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl11])).
% 23.95/4.01 thf(zip_derived_cl233, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl75])).
% 23.95/4.01 thf(zip_derived_cl6, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 23.95/4.01 thf(zip_derived_cl11, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 23.95/4.01 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 23.95/4.01 thf(zip_derived_cl15, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 23.95/4.01 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 23.95/4.01 thf(zip_derived_cl282, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ X0)
% 23.95/4.01 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X2))
% 23.95/4.01 | (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl15])).
% 23.95/4.01 thf(zip_derived_cl5161, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ X1)
% 23.95/4.01 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl282])).
% 23.95/4.01 thf(zip_derived_cl1, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ X0 @ X1) @
% 23.95/4.01 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 23.95/4.01 inference('cnf', [status(esa)], [cn_1])).
% 23.95/4.01 thf(zip_derived_cl1, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ X0 @ X1) @
% 23.95/4.01 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 23.95/4.01 inference('cnf', [status(esa)], [cn_1])).
% 23.95/4.01 thf(zip_derived_cl11, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 23.95/4.01 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 23.95/4.01 thf(zip_derived_cl14, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.95/4.01 (~ (is_a_theorem @
% 23.95/4.01 (implies @
% 23.95/4.01 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 23.95/4.01 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 23.95/4.01 thf(zip_derived_cl40, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.95/4.01 (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ X3 @ X2) @
% 23.95/4.01 (implies @ (implies @ (implies @ X3 @ X1) @ X0) @
% 23.95/4.01 (implies @ (implies @ X2 @ X1) @ X0))))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])).
% 23.95/4.01 thf(zip_derived_cl11, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 23.95/4.01 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 23.95/4.01 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 23.95/4.01 thf(zip_derived_cl178, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.95/4.01 (~ (is_a_theorem @
% 23.95/4.01 (implies @
% 23.95/4.01 (implies @ (implies @ (implies @ X3 @ X1) @ X0) @
% 23.95/4.01 (implies @ (implies @ X2 @ X1) @ X0)) @
% 23.95/4.01 X4))
% 23.95/4.01 | (is_a_theorem @ (implies @ (implies @ X3 @ X2) @ X4)))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl11])).
% 23.95/4.01 thf(zip_derived_cl5256, plain,
% 23.95/4.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.95/4.01 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 23.95/4.01 | (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ X3 @ X2) @
% 23.95/4.01 (implies @ (implies @ X2 @ X1) @ X0))))),
% 23.95/4.01 inference('s_sup-', [status(thm)],
% 23.95/4.01 [zip_derived_cl5161, zip_derived_cl178])).
% 23.95/4.01 thf(prove_cn_15, conjecture,
% 23.95/4.01 (is_a_theorem @
% 23.95/4.01 ( implies @
% 23.95/4.01 ( implies @ ( not @ x ) @ y ) @ ( implies @ ( implies @ y @ x ) @ x ) ))).
% 23.95/4.01 thf(zf_stmt_0, negated_conjecture,
% 23.95/4.01 (~( is_a_theorem @
% 23.95/4.01 ( implies @
% 23.95/4.01 ( implies @ ( not @ x ) @ y ) @ ( implies @ ( implies @ y @ x ) @ x ) ) )),
% 23.95/4.01 inference('cnf.neg', [status(esa)], [prove_cn_15])).
% 23.95/4.01 thf(zip_derived_cl4, plain,
% 23.95/4.01 (~ (is_a_theorem @
% 23.95/4.01 (implies @ (implies @ (not @ x) @ y) @
% 23.95/4.01 (implies @ (implies @ y @ x) @ x)))),
% 23.95/4.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.95/4.01 thf(zip_derived_cl10922, plain,
% 23.95/4.01 (~ (is_a_theorem @ (implies @ (implies @ (not @ x) @ x) @ x))),
% 23.95/4.01 inference('s_sup-', [status(thm)], [zip_derived_cl5256, zip_derived_cl4])).
% 23.95/4.01 thf(zip_derived_cl2, plain,
% 23.95/4.01 (![X0 : $i]:
% 23.95/4.01 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 23.95/4.01 inference('cnf', [status(esa)], [cn_2])).
% 23.95/4.01 thf(zip_derived_cl10923, plain, ($false),
% 23.95/4.01 inference('demod', [status(thm)], [zip_derived_cl10922, zip_derived_cl2])).
% 23.95/4.01
% 23.95/4.01 % SZS output end Refutation
% 23.95/4.01
% 23.95/4.01
% 23.95/4.01 % Terminating...
% 23.95/4.05 % Runner terminated.
% 23.96/4.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------