%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7tjMG3klj2 true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:01 PM UTC 2026
% Result : Unsatisfiable 2.78s 1.05s
% Output : Refutation 2.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7tjMG3klj2 true
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 03:02:18 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.12.3
% 0.14/0.39 % Running in FO mode
% 0.46/0.67 % Total configuration time : 435
% 0.46/0.67 % Estimated wc time : 1092
% 0.46/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.78/1.05 % Solved by fo/fo13.sh.
% 2.78/1.05 % done 168 iterations in 0.210s
% 2.78/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.78/1.05 % SZS output start Refutation
% 2.78/1.05 thf(a_type, type, a: $i).
% 2.78/1.05 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 2.78/1.05 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 2.78/1.05 thf(c_type, type, c: $i).
% 2.78/1.05 thf(b_type, type, b: $i).
% 2.78/1.05 thf(yql, axiom,
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 ( equivalent @
% 2.78/1.05 ( equivalent @ X @ Y ) @
% 2.78/1.05 ( equivalent @ ( equivalent @ Z @ Y ) @ ( equivalent @ X @ Z ) ) ))).
% 2.78/1.05 thf(zip_derived_cl1, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X0 @ X1) @
% 2.78/1.05 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 2.78/1.05 inference('cnf', [status(esa)], [yql])).
% 2.78/1.05 thf(zip_derived_cl1, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X0 @ X1) @
% 2.78/1.05 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 2.78/1.05 inference('cnf', [status(esa)], [yql])).
% 2.78/1.05 thf(condensed_detachment, axiom,
% 2.78/1.05 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 2.78/1.05 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 2.78/1.05 thf(zip_derived_cl0, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.78/1.05 | ~ (is_a_theorem @ X0)
% 2.78/1.05 | (is_a_theorem @ X1))),
% 2.78/1.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.78/1.05 thf(zip_derived_cl4, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 2.78/1.05 | (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl5, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @
% 2.78/1.05 (equivalent @ X3 @
% 2.78/1.05 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))) @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X2) @ X3)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 2.78/1.05 thf(zip_derived_cl0, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.78/1.05 | ~ (is_a_theorem @ X0)
% 2.78/1.05 | (is_a_theorem @ X1))),
% 2.78/1.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.78/1.05 thf(zip_derived_cl6, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ X0 @
% 2.78/1.05 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X3))))
% 2.78/1.05 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl1, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X0 @ X1) @
% 2.78/1.05 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X0 @ X2))))),
% 2.78/1.05 inference('cnf', [status(esa)], [yql])).
% 2.78/1.05 thf(zip_derived_cl18, plain,
% 2.78/1.05 (![X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X2)))),
% 2.78/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 2.78/1.05 thf(zip_derived_cl18, plain,
% 2.78/1.05 (![X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X2)))),
% 2.78/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 2.78/1.05 thf(zip_derived_cl4, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 2.78/1.05 | (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl24, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X0) @ X2)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 2.78/1.05 thf(zip_derived_cl6, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ X0 @
% 2.78/1.05 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X3))))
% 2.78/1.05 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl56, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X2) @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X0 @ X2))))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl6])).
% 2.78/1.05 thf(zip_derived_cl6, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ X0 @
% 2.78/1.05 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X3))))
% 2.78/1.05 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl129, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X1) @ (equivalent @ X0 @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl6])).
% 2.78/1.05 thf(zip_derived_cl0, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.78/1.05 | ~ (is_a_theorem @ X0)
% 2.78/1.05 | (is_a_theorem @ X1))),
% 2.78/1.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.78/1.05 thf(zip_derived_cl144, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X1 @ X1))
% 2.78/1.05 | (is_a_theorem @ (equivalent @ X0 @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl167, plain,
% 2.78/1.05 (![X2 : $i]: (is_a_theorem @ (equivalent @ X2 @ X2))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl144])).
% 2.78/1.05 thf(zip_derived_cl6, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ X0 @
% 2.78/1.05 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X3))))
% 2.78/1.05 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl4, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 2.78/1.05 | (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl19, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 ( (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X2) @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X0) @ X3)))
% 2.78/1.05 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X3)))),
% 2.78/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl4])).
% 2.78/1.05 thf(zip_derived_cl24, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X0) @ X2)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 2.78/1.05 thf(prove_ec_5, conjecture,
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 ( equivalent @
% 2.78/1.05 ( equivalent @ ( equivalent @ a @ b ) @ c ) @
% 2.78/1.05 ( equivalent @ a @ ( equivalent @ b @ c ) ) ))).
% 2.78/1.05 thf(zf_stmt_0, negated_conjecture,
% 2.78/1.05 (~( is_a_theorem @
% 2.78/1.05 ( equivalent @
% 2.78/1.05 ( equivalent @ ( equivalent @ a @ b ) @ c ) @
% 2.78/1.05 ( equivalent @ a @ ( equivalent @ b @ c ) ) ) )),
% 2.78/1.05 inference('cnf.neg', [status(esa)], [prove_ec_5])).
% 2.78/1.05 thf(zip_derived_cl2, plain,
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 2.78/1.05 (equivalent @ a @ (equivalent @ b @ c))))),
% 2.78/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.78/1.05 thf(zip_derived_cl0, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.78/1.05 | ~ (is_a_theorem @ X0)
% 2.78/1.05 | (is_a_theorem @ X1))),
% 2.78/1.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.78/1.05 thf(zip_derived_cl3, plain,
% 2.78/1.05 (![X0 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ X0 @
% 2.78/1.05 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 2.78/1.05 (equivalent @ a @ (equivalent @ b @ c)))))
% 2.78/1.05 | ~ (is_a_theorem @ X0))),
% 2.78/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl55, plain,
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 2.78/1.05 (equivalent @ (equivalent @ a @ b) @ c)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl3])).
% 2.78/1.05 thf(zip_derived_cl0, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i]:
% 2.78/1.05 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 2.78/1.05 | ~ (is_a_theorem @ X0)
% 2.78/1.05 | (is_a_theorem @ X1))),
% 2.78/1.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.78/1.05 thf(zip_derived_cl65, plain,
% 2.78/1.05 (![X0 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ X0 @
% 2.78/1.05 (equivalent @ (equivalent @ a @ (equivalent @ b @ c)) @
% 2.78/1.05 (equivalent @ (equivalent @ a @ b) @ c))))
% 2.78/1.05 | ~ (is_a_theorem @ X0))),
% 2.78/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl113, plain,
% 2.78/1.05 (![X0 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ (equivalent @ b @ c) @ X0) @
% 2.78/1.05 (equivalent @ (equivalent @ a @ b) @ c)))
% 2.78/1.05 | ~ (is_a_theorem @ (equivalent @ a @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl65])).
% 2.78/1.05 thf(zip_derived_cl235, plain,
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ (equivalent @ b @ c) @ a) @
% 2.78/1.05 (equivalent @ (equivalent @ a @ b) @ c)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl167, zip_derived_cl113])).
% 2.78/1.05 thf(zip_derived_cl6, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ X0 @
% 2.78/1.05 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X3))))
% 2.78/1.05 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl5, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @
% 2.78/1.05 (equivalent @ X3 @
% 2.78/1.05 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))) @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X2) @ X3)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 2.78/1.05 thf(zip_derived_cl20, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X2) @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X0) @
% 2.78/1.05 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X0 @ X3)))))),
% 2.78/1.05 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 2.78/1.05 thf(zip_derived_cl6, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.78/1.05 (~ (is_a_theorem @
% 2.78/1.05 (equivalent @ X0 @
% 2.78/1.05 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X2 @ X3))))
% 2.78/1.05 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 2.78/1.05 thf(zip_derived_cl142, plain,
% 2.78/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.78/1.05 (is_a_theorem @
% 2.78/1.05 (equivalent @ (equivalent @ (equivalent @ X0 @ X2) @ X1) @
% 2.78/1.05 (equivalent @ (equivalent @ X1 @ X0) @ X2)))),
% 2.78/1.05 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl6])).
% 2.78/1.05 thf(zip_derived_cl368, plain, ($false),
% 2.78/1.05 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl142])).
% 2.78/1.05
% 2.78/1.05 % SZS output end Refutation
% 2.78/1.05
% 2.78/1.05
% 2.78/1.05 % Terminating...
% 2.78/1.09 % Runner terminated.
% 2.78/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------