%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL118-1 : 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.2WcnF5Sodc true
% Computer : n015.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 01:35:14 PM UTC 2026
% Result : Unsatisfiable 4.79s 1.34s
% Output : Refutation 4.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL118-1 : 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.2WcnF5Sodc true
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 5 15:19:42 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.39 % Python version: Python 3.12.3
% 0.12/0.39 % 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
% 0.50/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.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/fo13.sh running for 50s
% 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/fo5.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.79/1.34 % Solved by fo/fo13.sh.
% 4.79/1.34 % done 314 iterations in 0.505s
% 4.79/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.79/1.34 % SZS output start Refutation
% 4.79/1.34 thf(a_type, type, a: $i).
% 4.79/1.34 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 4.79/1.34 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 4.79/1.34 thf(c_type, type, c: $i).
% 4.79/1.34 thf(b_type, type, b: $i).
% 4.79/1.34 thf(wo, axiom,
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 ( equivalent @
% 4.79/1.34 ( equivalent @ X @ ( equivalent @ Y @ Z ) ) @
% 4.79/1.34 ( equivalent @ Z @ ( equivalent @ Y @ X ) ) ))).
% 4.79/1.34 thf(zip_derived_cl1, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('cnf', [status(esa)], [wo])).
% 4.79/1.34 thf(zip_derived_cl1, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('cnf', [status(esa)], [wo])).
% 4.79/1.34 thf(condensed_detachment, axiom,
% 4.79/1.34 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 4.79/1.34 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 4.79/1.34 thf(zip_derived_cl0, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 4.79/1.34 | ~ (is_a_theorem @ X0)
% 4.79/1.34 | (is_a_theorem @ X1))),
% 4.79/1.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 4.79/1.34 thf(zip_derived_cl4, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl1, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('cnf', [status(esa)], [wo])).
% 4.79/1.34 thf(zip_derived_cl7, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X0) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 4.79/1.34 thf(zip_derived_cl0, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 4.79/1.34 | ~ (is_a_theorem @ X0)
% 4.79/1.34 | (is_a_theorem @ X1))),
% 4.79/1.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 4.79/1.34 thf(zip_derived_cl26, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 4.79/1.34 | (is_a_theorem @
% 4.79/1.34 (equivalent @ X0 @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl38, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ X3 @
% 4.79/1.34 (equivalent @ (equivalent @ X2 @ (equivalent @ X1 @ X0)) @
% 4.79/1.34 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @ X3))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl26])).
% 4.79/1.34 thf(zip_derived_cl1, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('cnf', [status(esa)], [wo])).
% 4.79/1.34 thf(zip_derived_cl7, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X0) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 4.79/1.34 thf(zip_derived_cl26, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 4.79/1.34 | (is_a_theorem @
% 4.79/1.34 (equivalent @ X0 @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl39, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ X3 @
% 4.79/1.34 (equivalent @
% 4.79/1.34 (equivalent @ X0 @ (equivalent @ X2 @ (equivalent @ X1 @ X0))) @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X2) @ X3))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl26])).
% 4.79/1.34 thf(zip_derived_cl4, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl0, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 4.79/1.34 | ~ (is_a_theorem @ X0)
% 4.79/1.34 | (is_a_theorem @ X1))),
% 4.79/1.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 4.79/1.34 thf(zip_derived_cl8, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | ~ (is_a_theorem @ X2)
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl122, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0))
% 4.79/1.34 | (is_a_theorem @
% 4.79/1.34 (equivalent @
% 4.79/1.34 (equivalent @ X3 @ (equivalent @ X1 @ (equivalent @ X2 @ X3))) @
% 4.79/1.34 X0)))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl8])).
% 4.79/1.34 thf(zip_derived_cl4, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl26, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 4.79/1.34 | (is_a_theorem @
% 4.79/1.34 (equivalent @ X0 @ (equivalent @ X2 @ (equivalent @ X1 @ X0)))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl37, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @
% 4.79/1.34 (equivalent @ X3 @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X3)))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl26])).
% 4.79/1.34 thf(zip_derived_cl4, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl4, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl0, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 4.79/1.34 | ~ (is_a_theorem @ X0)
% 4.79/1.34 | (is_a_theorem @ X1))),
% 4.79/1.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 4.79/1.34 thf(zip_derived_cl5, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 ( (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | ~ (is_a_theorem @
% 4.79/1.34 (equivalent @ X3 @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))
% 4.79/1.34 | ~ (is_a_theorem @ X3))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl24, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X3)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | ~ (is_a_theorem @ X3))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 4.79/1.34 thf(zip_derived_cl52, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X4 @ X2)))
% 4.79/1.34 | (is_a_theorem @
% 4.79/1.34 (equivalent @ X0 @ (equivalent @ X1 @ (equivalent @ X4 @ X3))))
% 4.79/1.34 | ~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl24])).
% 4.79/1.34 thf(zip_derived_cl37, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @
% 4.79/1.34 (equivalent @ X3 @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X3)))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl26])).
% 4.79/1.34 thf(zip_derived_cl4, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl1, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('cnf', [status(esa)], [wo])).
% 4.79/1.34 thf(prove_yqm, conjecture,
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 ( equivalent @
% 4.79/1.34 ( equivalent @ a @ b ) @
% 4.79/1.34 ( equivalent @ ( equivalent @ c @ b ) @ ( equivalent @ c @ a ) ) ))).
% 4.79/1.34 thf(zf_stmt_0, negated_conjecture,
% 4.79/1.34 (~( is_a_theorem @
% 4.79/1.34 ( equivalent @
% 4.79/1.34 ( equivalent @ a @ b ) @
% 4.79/1.34 ( equivalent @ ( equivalent @ c @ b ) @ ( equivalent @ c @ a ) ) ) )),
% 4.79/1.34 inference('cnf.neg', [status(esa)], [prove_yqm])).
% 4.79/1.34 thf(zip_derived_cl2, plain,
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ a @ b) @
% 4.79/1.34 (equivalent @ (equivalent @ c @ b) @ (equivalent @ c @ a))))),
% 4.79/1.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.79/1.34 thf(zip_derived_cl0, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 4.79/1.34 | ~ (is_a_theorem @ X0)
% 4.79/1.34 | (is_a_theorem @ X1))),
% 4.79/1.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 4.79/1.34 thf(zip_derived_cl3, plain,
% 4.79/1.34 (![X0 : $i]:
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ X0 @
% 4.79/1.34 (equivalent @ (equivalent @ a @ b) @
% 4.79/1.34 (equivalent @ (equivalent @ c @ b) @ (equivalent @ c @ a)))))
% 4.79/1.34 | ~ (is_a_theorem @ X0))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl15, plain,
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ c @ a) @
% 4.79/1.34 (equivalent @ (equivalent @ c @ b) @ (equivalent @ a @ b))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 4.79/1.34 thf(zip_derived_cl0, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 4.79/1.34 | ~ (is_a_theorem @ X0)
% 4.79/1.34 | (is_a_theorem @ X1))),
% 4.79/1.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 4.79/1.34 thf(zip_derived_cl16, plain,
% 4.79/1.34 (![X0 : $i]:
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ X0 @
% 4.79/1.34 (equivalent @ (equivalent @ c @ a) @
% 4.79/1.34 (equivalent @ (equivalent @ c @ b) @ (equivalent @ a @ b)))))
% 4.79/1.34 | ~ (is_a_theorem @ X0))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl20, plain,
% 4.79/1.34 (![X0 : $i]:
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @
% 4.79/1.34 (equivalent @ (equivalent @ c @ b) @ (equivalent @ a @ b)) @
% 4.79/1.34 (equivalent @ (equivalent @ c @ a) @ X0)))
% 4.79/1.34 | ~ (is_a_theorem @ X0))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl16])).
% 4.79/1.34 thf(zip_derived_cl51, plain,
% 4.79/1.34 (![X0 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ a @ (equivalent @ c @ X0)))
% 4.79/1.34 | ~ (is_a_theorem @
% 4.79/1.34 (equivalent @ X0 @
% 4.79/1.34 (equivalent @ (equivalent @ c @ b) @ (equivalent @ a @ b)))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl20])).
% 4.79/1.34 thf(zip_derived_cl1, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('cnf', [status(esa)], [wo])).
% 4.79/1.34 thf(zip_derived_cl107, plain,
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ a @
% 4.79/1.34 (equivalent @ c @
% 4.79/1.34 (equivalent @ b @ (equivalent @ a @ (equivalent @ c @ b))))))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl1])).
% 4.79/1.34 thf(zip_derived_cl354, plain,
% 4.79/1.34 (![X0 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ c @ a)))
% 4.79/1.34 | ~ (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ a @ (equivalent @ c @ b)) @
% 4.79/1.34 (equivalent @ b @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl107])).
% 4.79/1.34 thf(zip_derived_cl1, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X0 @ (equivalent @ X1 @ X2)) @
% 4.79/1.34 (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('cnf', [status(esa)], [wo])).
% 4.79/1.34 thf(zip_derived_cl517, plain,
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ c @ a) @ (equivalent @ c @ a)))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl1])).
% 4.79/1.34 thf(zip_derived_cl37, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @
% 4.79/1.34 (equivalent @ X3 @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X3)))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl26])).
% 4.79/1.34 thf(zip_derived_cl8, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | ~ (is_a_theorem @ X2)
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl47, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X3 @ X1)))
% 4.79/1.34 | ~ (is_a_theorem @ (equivalent @ X1 @ X0))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X2) @ X0)))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl8])).
% 4.79/1.34 thf(zip_derived_cl531, plain,
% 4.79/1.34 (![X0 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ a @ (equivalent @ c @ X0)))
% 4.79/1.34 | ~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ c @ a))))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl517, zip_derived_cl47])).
% 4.79/1.34 thf(zip_derived_cl4, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X2 @ (equivalent @ X1 @ X0))))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 4.79/1.34 thf(zip_derived_cl694, plain,
% 4.79/1.34 (![X0 : $i]: ~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ c @ a)))),
% 4.79/1.34 inference('clc', [status(thm)], [zip_derived_cl531, zip_derived_cl4])).
% 4.79/1.34 thf(zip_derived_cl24, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X3)))
% 4.79/1.34 | (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X1 @ X2)))
% 4.79/1.34 | ~ (is_a_theorem @ X3))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 4.79/1.34 thf(zip_derived_cl698, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i]:
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ c @ X0) @ (equivalent @ a @ X1)))
% 4.79/1.34 | ~ (is_a_theorem @ X1))),
% 4.79/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl694, zip_derived_cl24])).
% 4.79/1.34 thf(zip_derived_cl1044, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.79/1.34 (~ (is_a_theorem @
% 4.79/1.34 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ a @ X0)))
% 4.79/1.34 | ~ (is_a_theorem @ X0))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl122, zip_derived_cl698])).
% 4.79/1.34 thf(zip_derived_cl1061, plain,
% 4.79/1.34 (![X0 : $i, X1 : $i]: ~ (is_a_theorem @ (equivalent @ X1 @ X0))),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1044])).
% 4.79/1.34 thf(zip_derived_cl1065, plain, ($false),
% 4.79/1.34 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl1061])).
% 4.79/1.34
% 4.79/1.34 % SZS output end Refutation
% 4.79/1.34
% 4.79/1.34
% 4.79/1.34 % Terminating...
% 4.79/1.38 % Runner terminated.
% 2.06/1.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------