TSTP Solution File: LCL023-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NORFjhY6L9 true
% Computer : n031.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 08:57:52 EDT 2023
% Result : Unsatisfiable 1.37s 0.79s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL023-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NORFjhY6L9 true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 18:35:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.37/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.79 % Solved by fo/fo6_bce.sh.
% 1.37/0.79 % BCE start: 3
% 1.37/0.79 % BCE eliminated: 0
% 1.37/0.79 % PE start: 3
% 1.37/0.79 logic: neq
% 1.37/0.79 % PE eliminated: 0
% 1.37/0.79 % done 54 iterations in 0.068s
% 1.37/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/0.79 % SZS output start Refutation
% 1.37/0.79 thf(a_type, type, a: $i).
% 1.37/0.79 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 1.37/0.79 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 1.37/0.79 thf(c_type, type, c: $i).
% 1.37/0.79 thf(b_type, type, b: $i).
% 1.37/0.79 thf(yql, axiom,
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 ( equivalent @
% 1.37/0.79 ( equivalent @ X @ Y ) @
% 1.37/0.79 ( equivalent @ ( equivalent @ Z @ Y ) @ ( equivalent @ X @ Z ) ) ))).
% 1.37/0.79 thf(zip_derived_cl1, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X1) @
% 1.37/0.79 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 1.37/0.79 inference('cnf', [status(esa)], [yql])).
% 1.37/0.79 thf(condensed_detachment, axiom,
% 1.37/0.79 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 1.37/0.79 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 1.37/0.79 thf(zip_derived_cl0, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.37/0.79 | ~ (is_a_theorem @ X0)
% 1.37/0.79 | (is_a_theorem @ X1))),
% 1.37/0.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.37/0.79 thf(zip_derived_cl3, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl1, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X1) @
% 1.37/0.79 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 1.37/0.79 inference('cnf', [status(esa)], [yql])).
% 1.37/0.79 thf(zip_derived_cl3, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl0, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.37/0.79 | ~ (is_a_theorem @ X0)
% 1.37/0.79 | (is_a_theorem @ X1))),
% 1.37/0.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.37/0.79 thf(zip_derived_cl4, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl5, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.79 (~ (is_a_theorem @
% 1.37/0.79 (equivalent @ X3 @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X2) @ X3)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 1.37/0.79 thf(zip_derived_cl20, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X3))
% 1.37/0.79 | (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X1 @ X2) @
% 1.37/0.79 (equivalent @ (equivalent @ X1 @ X0) @ X3))))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 1.37/0.79 thf(prove_ec_2, conjecture,
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 ( equivalent @
% 1.37/0.79 ( equivalent @ a @ ( equivalent @ b @ c ) ) @
% 1.37/0.79 ( equivalent @ ( equivalent @ a @ b ) @ c ) ))).
% 1.37/0.79 thf(zf_stmt_0, negated_conjecture,
% 1.37/0.79 (~( is_a_theorem @
% 1.37/0.79 ( equivalent @
% 1.37/0.79 ( equivalent @ a @ ( equivalent @ b @ c ) ) @
% 1.37/0.79 ( equivalent @ ( equivalent @ a @ b ) @ c ) ) )),
% 1.37/0.79 inference('cnf.neg', [status(esa)], [prove_ec_2])).
% 1.37/0.79 thf(zip_derived_cl2, plain,
% 1.37/0.79 (~ (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 1.37/0.79 (equivalent @ (equivalent @ a @ b) @ c)))),
% 1.37/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.79 thf(zip_derived_cl50, plain,
% 1.37/0.79 (~ (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ b @ (equivalent @ b @ c)) @ c))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl2])).
% 1.37/0.79 thf(zip_derived_cl1, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X1) @
% 1.37/0.79 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 1.37/0.79 inference('cnf', [status(esa)], [yql])).
% 1.37/0.79 thf(zip_derived_cl4, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl7, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i]:
% 1.37/0.79 ( (is_a_theorem @ (equivalent @ X1 @ X1))
% 1.37/0.79 | ~ (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.37/0.79 inference('eq_fact', [status(thm)], [zip_derived_cl4])).
% 1.37/0.79 thf(zip_derived_cl9, plain,
% 1.37/0.79 (![X1 : $i, X2 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X2)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 1.37/0.79 thf(zip_derived_cl1, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X1) @
% 1.37/0.79 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 1.37/0.79 inference('cnf', [status(esa)], [yql])).
% 1.37/0.79 thf(zip_derived_cl9, plain,
% 1.37/0.79 (![X1 : $i, X2 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X2)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 1.37/0.79 thf(zip_derived_cl4, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl13, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X2)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 1.37/0.79 thf(zip_derived_cl15, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0)) @
% 1.37/0.79 (equivalent @ X1 @ X2)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 1.37/0.79 thf(zip_derived_cl0, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.37/0.79 | ~ (is_a_theorem @ X0)
% 1.37/0.79 | (is_a_theorem @ X1))),
% 1.37/0.79 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.37/0.79 thf(zip_derived_cl22, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2)))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl33, plain,
% 1.37/0.79 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl22])).
% 1.37/0.79 thf(zip_derived_cl20, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X3))
% 1.37/0.79 | (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X1 @ X2) @
% 1.37/0.79 (equivalent @ (equivalent @ X1 @ X0) @ X3))))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 1.37/0.79 thf(zip_derived_cl22, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2)))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl51, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X2) @ X0))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X1) @ X2)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl22])).
% 1.37/0.79 thf(zip_derived_cl147, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ (equivalent @ X1 @ X0) @ X1) @ X0))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl51])).
% 1.37/0.79 thf(zip_derived_cl33, plain,
% 1.37/0.79 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl22])).
% 1.37/0.79 thf(zip_derived_cl4, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl35, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X0))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ X0 @ X1)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl4])).
% 1.37/0.79 thf(zip_derived_cl162, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ X0 @ (equivalent @ (equivalent @ X1 @ X0) @ X1)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl35])).
% 1.37/0.79 thf(zip_derived_cl33, plain,
% 1.37/0.79 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl22])).
% 1.37/0.79 thf(zip_derived_cl3, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl4, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.37/0.79 thf(zip_derived_cl6, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 1.37/0.79 | ~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X1 @ X0)))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X3)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 1.37/0.79 thf(zip_derived_cl36, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.79 (~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X0 @ X1)))
% 1.37/0.79 | (is_a_theorem @ (equivalent @ (equivalent @ X1 @ X0) @ X2)))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl6])).
% 1.37/0.79 thf(zip_derived_cl195, plain,
% 1.37/0.79 (![X0 : $i, X1 : $i]:
% 1.37/0.79 (is_a_theorem @
% 1.37/0.79 (equivalent @ (equivalent @ X0 @ (equivalent @ X0 @ X1)) @ X1))),
% 1.37/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl36])).
% 1.37/0.79 thf(zip_derived_cl258, plain, ($false),
% 1.37/0.79 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl195])).
% 1.37/0.79
% 1.37/0.79 % SZS output end Refutation
% 1.37/0.79
% 1.37/0.79
% 1.37/0.80 % Terminating...
% 1.57/0.86 % Runner terminated.
% 1.57/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------