%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL102-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GFvwTZLLWt true
% Computer : n011.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 01:35:11 PM UTC 2026
% Result : Unsatisfiable 42.32s 6.78s
% Output : Refutation 42.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL102-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GFvwTZLLWt true
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 17:52:13 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.12.3
% 0.14/0.37 % Running in FO mode
% 0.47/0.66 % Total configuration time : 435
% 0.47/0.66 % Estimated wc time : 1092
% 0.47/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 42.32/6.78 % Solved by fo/fo13.sh.
% 42.32/6.78 % done 2052 iterations in 5.943s
% 42.32/6.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 42.32/6.78 % SZS output start Refutation
% 42.32/6.78 thf(a_type, type, a: $i).
% 42.32/6.78 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 42.32/6.78 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 42.32/6.78 thf(c_type, type, c: $i).
% 42.32/6.78 thf(e_type, type, e: $i).
% 42.32/6.78 thf(b_type, type, b: $i).
% 42.32/6.78 thf(lg_2, axiom,
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @ ( equivalent @ X @ Y ) @ ( equivalent @ X @ Z ) ) @
% 42.32/6.78 ( equivalent @ Y @ Z ) ) @
% 42.32/6.78 U ) @
% 42.32/6.78 U ))).
% 42.32/6.78 thf(zip_derived_cl1, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X0 @ X2)) @
% 42.32/6.78 (equivalent @ X1 @ X2)) @
% 42.32/6.78 X3) @
% 42.32/6.78 X3))),
% 42.32/6.78 inference('cnf', [status(esa)], [lg_2])).
% 42.32/6.78 thf(condensed_detachment, axiom,
% 42.32/6.78 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 42.32/6.78 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 42.32/6.78 thf(zip_derived_cl0, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 42.32/6.78 | ~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @ X1))),
% 42.32/6.78 inference('cnf', [status(esa)], [condensed_detachment])).
% 42.32/6.78 thf(zip_derived_cl8, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X3 @ X1)) @
% 42.32/6.78 (equivalent @ X2 @ X1)) @
% 42.32/6.78 X0))
% 42.32/6.78 | (is_a_theorem @ X0))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 42.32/6.78 thf(q_1, axiom,
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 X @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @ Y @ Z ) @ ( equivalent @ ( equivalent @ Z @ Y ) @ X ) ) ))).
% 42.32/6.78 thf(zip_derived_cl2, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ X0 @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 42.32/6.78 inference('cnf', [status(esa)], [q_1])).
% 42.32/6.78 thf(zip_derived_cl12, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X3 @ X4) @
% 42.32/6.78 (equivalent @ (equivalent @ X4 @ X3) @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 42.32/6.78 (equivalent @ X1 @ X0)))))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 42.32/6.78 thf(zip_derived_cl8, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X3 @ X1)) @
% 42.32/6.78 (equivalent @ X2 @ X1)) @
% 42.32/6.78 X0))
% 42.32/6.78 | (is_a_theorem @ X0))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl0, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 42.32/6.78 | ~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @ X1))),
% 42.32/6.78 inference('cnf', [status(esa)], [condensed_detachment])).
% 42.32/6.78 thf(zip_derived_cl11, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.32/6.78 ( (is_a_theorem @ X0)
% 42.32/6.78 | ~ (is_a_theorem @
% 42.32/6.78 (equivalent @ X4 @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X3 @ X1)) @
% 42.32/6.78 (equivalent @ X2 @ X1)) @
% 42.32/6.78 X0)))
% 42.32/6.78 | ~ (is_a_theorem @ X4))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl109, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.32/6.78 ( (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 42.32/6.78 (equivalent @ X1 @ X0)))
% 42.32/6.78 | ~ (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X4 @ X3) @
% 42.32/6.78 (equivalent @ (equivalent @ X5 @ X4) @ (equivalent @ X5 @ X3)))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 42.32/6.78 thf(q_2, axiom,
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @ X @ Y ) @
% 42.32/6.78 ( equivalent @ ( equivalent @ Z @ X ) @ ( equivalent @ Z @ Y ) ) ))).
% 42.32/6.78 thf(zip_derived_cl3, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X0 @ X1) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X2 @ X1))))),
% 42.32/6.78 inference('cnf', [status(esa)], [q_2])).
% 42.32/6.78 thf(zip_derived_cl111, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 42.32/6.78 (equivalent @ X1 @ X0)))),
% 42.32/6.78 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl3])).
% 42.32/6.78 thf(zip_derived_cl2, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ X0 @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 42.32/6.78 inference('cnf', [status(esa)], [q_1])).
% 42.32/6.78 thf(zip_derived_cl3, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X0 @ X1) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X2 @ X1))))),
% 42.32/6.78 inference('cnf', [status(esa)], [q_2])).
% 42.32/6.78 thf(zip_derived_cl0, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 42.32/6.78 | ~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @ X1))),
% 42.32/6.78 inference('cnf', [status(esa)], [condensed_detachment])).
% 42.32/6.78 thf(zip_derived_cl7, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 42.32/6.78 | (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl21, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X3 @ X0) @
% 42.32/6.78 (equivalent @ X3 @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ X0)))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 42.32/6.78 thf(zip_derived_cl7, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 42.32/6.78 | (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl284, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X4 @ (equivalent @ X3 @ X0)) @
% 42.32/6.78 (equivalent @ X4 @
% 42.32/6.78 (equivalent @ X3 @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ X0))))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 42.32/6.78 thf(zip_derived_cl111, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ (equivalent @ X2 @ X0)) @
% 42.32/6.78 (equivalent @ X1 @ X0)))),
% 42.32/6.78 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl3])).
% 42.32/6.78 thf(zip_derived_cl8, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X3 @ X2) @ (equivalent @ X3 @ X1)) @
% 42.32/6.78 (equivalent @ X2 @ X1)) @
% 42.32/6.78 X0))
% 42.32/6.78 | (is_a_theorem @ X0))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl7, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 42.32/6.78 | (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl25, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.32/6.78 ( (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X3) @ (equivalent @ X2 @ X1)) @
% 42.32/6.78 X0))
% 42.32/6.78 | ~ (is_a_theorem @ (equivalent @ (equivalent @ X3 @ X1) @ X0)))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 42.32/6.78 thf(prove_p_1, conjecture,
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @ ( equivalent @ a @ b ) @ c ) @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @ e @ b ) @ ( equivalent @ ( equivalent @ a @ e ) @ c ) ) ))).
% 42.32/6.78 thf(zf_stmt_0, negated_conjecture,
% 42.32/6.78 (~( is_a_theorem @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @ ( equivalent @ a @ b ) @ c ) @
% 42.32/6.78 ( equivalent @
% 42.32/6.78 ( equivalent @ e @ b ) @
% 42.32/6.78 ( equivalent @ ( equivalent @ a @ e ) @ c ) ) ) )),
% 42.32/6.78 inference('cnf.neg', [status(esa)], [prove_p_1])).
% 42.32/6.78 thf(zip_derived_cl4, plain,
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 42.32/6.78 (equivalent @ (equivalent @ e @ b) @
% 42.32/6.78 (equivalent @ (equivalent @ a @ e) @ c))))),
% 42.32/6.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.32/6.78 thf(zip_derived_cl0, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 42.32/6.78 | ~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @ X1))),
% 42.32/6.78 inference('cnf', [status(esa)], [condensed_detachment])).
% 42.32/6.78 thf(zip_derived_cl6, plain,
% 42.32/6.78 (![X0 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @ X0 @
% 42.32/6.78 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 42.32/6.78 (equivalent @ (equivalent @ e @ b) @
% 42.32/6.78 (equivalent @ (equivalent @ a @ e) @ c)))))
% 42.32/6.78 | ~ (is_a_theorem @ X0))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl40, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X0) @
% 42.32/6.78 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 42.32/6.78 (equivalent @ (equivalent @ e @ b) @
% 42.32/6.78 (equivalent @ (equivalent @ a @ e) @ c)))))
% 42.32/6.78 | ~ (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl6])).
% 42.32/6.78 thf(zip_derived_cl7, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 42.32/6.78 | (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl47, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ X1 @ (equivalent @ (equivalent @ a @ b) @ c)) @
% 42.32/6.78 (equivalent @ X1 @ X0)))
% 42.32/6.78 | ~ (is_a_theorem @
% 42.32/6.78 (equivalent @ X0 @
% 42.32/6.78 (equivalent @ (equivalent @ e @ b) @
% 42.32/6.78 (equivalent @ (equivalent @ a @ e) @ c)))))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl7])).
% 42.32/6.78 thf(zip_derived_cl7, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X2 @ X0))
% 42.32/6.78 | (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl82, plain,
% 42.32/6.78 (![X0 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @ X0 @
% 42.32/6.78 (equivalent @ (equivalent @ e @ b) @
% 42.32/6.78 (equivalent @ (equivalent @ a @ e) @ c))))
% 42.32/6.78 | ~ (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @ X0)))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl7])).
% 42.32/6.78 thf(zip_derived_cl119, plain,
% 42.32/6.78 (![X0 : $i]:
% 42.32/6.78 ~ (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 42.32/6.78 (equivalent @ (equivalent @ X0 @ (equivalent @ e @ b)) @
% 42.32/6.78 (equivalent @ X0 @ (equivalent @ (equivalent @ a @ e) @ c)))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl82])).
% 42.32/6.78 thf(zip_derived_cl0, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 42.32/6.78 | ~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @ X1))),
% 42.32/6.78 inference('cnf', [status(esa)], [condensed_detachment])).
% 42.32/6.78 thf(zip_derived_cl185, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @ X1 @
% 42.32/6.78 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 42.32/6.78 (equivalent @ (equivalent @ X0 @ (equivalent @ e @ b)) @
% 42.32/6.78 (equivalent @ X0 @ (equivalent @ (equivalent @ a @ e) @ c))))))
% 42.32/6.78 | ~ (is_a_theorem @ X1))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl6074, plain,
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ e @ a) @ (equivalent @ e @ b)) @ c)))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl185])).
% 42.32/6.78 thf(zip_derived_cl0, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 42.32/6.78 | ~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @ X1))),
% 42.32/6.78 inference('cnf', [status(esa)], [condensed_detachment])).
% 42.32/6.78 thf(zip_derived_cl6119, plain,
% 42.32/6.78 (![X0 : $i]:
% 42.32/6.78 (~ (is_a_theorem @
% 42.32/6.78 (equivalent @ X0 @
% 42.32/6.78 (equivalent @ (equivalent @ (equivalent @ a @ b) @ c) @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ e @ a) @ (equivalent @ e @ b)) @ c))))
% 42.32/6.78 | ~ (is_a_theorem @ X0))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl6074, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl7342, plain,
% 42.32/6.78 (![X0 : $i]:
% 42.32/6.78 ~ (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ X0 @ (equivalent @ (equivalent @ a @ b) @ c)) @
% 42.32/6.78 (equivalent @ X0 @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ e @ a) @ (equivalent @ e @ b)) @ c))))),
% 42.32/6.78 inference('s_sup-', [status(thm)],
% 42.32/6.78 [zip_derived_cl111, zip_derived_cl6119])).
% 42.32/6.78 thf(zip_derived_cl3, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X0 @ X1) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X2 @ X1))))),
% 42.32/6.78 inference('cnf', [status(esa)], [q_2])).
% 42.32/6.78 thf(zip_derived_cl2, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @ X0 @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 42.32/6.78 inference('cnf', [status(esa)], [q_1])).
% 42.32/6.78 thf(zip_derived_cl0, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 42.32/6.78 | ~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @ X1))),
% 42.32/6.78 inference('cnf', [status(esa)], [condensed_detachment])).
% 42.32/6.78 thf(zip_derived_cl5, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @
% 42.32/6.78 (equivalent @ (equivalent @ X2 @ X1) @ X0))))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl0, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 42.32/6.78 | ~ (is_a_theorem @ X0)
% 42.32/6.78 | (is_a_theorem @ X1))),
% 42.32/6.78 inference('cnf', [status(esa)], [condensed_detachment])).
% 42.32/6.78 thf(zip_derived_cl16, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ X0)
% 42.32/6.78 | ~ (is_a_theorem @ (equivalent @ X1 @ X2))
% 42.32/6.78 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X1) @ X0)))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 42.32/6.78 thf(zip_derived_cl28, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.32/6.78 (~ (is_a_theorem @ X3)
% 42.32/6.78 | (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X1 @ X0)) @
% 42.32/6.78 (equivalent @ X2 @ X0)) @
% 42.32/6.78 X3)))),
% 42.32/6.78 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl16])).
% 42.32/6.78 thf(zip_derived_cl7644, plain,
% 42.32/6.78 (![X0 : $i]:
% 42.32/6.78 ~ (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X0 @ (equivalent @ a @ b)) @
% 42.32/6.78 (equivalent @ X0 @ c)) @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ e @ a) @ (equivalent @ e @ b)) @ c)))),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl7342, zip_derived_cl28])).
% 42.32/6.78 thf(zip_derived_cl1, plain,
% 42.32/6.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.32/6.78 (is_a_theorem @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @
% 42.32/6.78 (equivalent @ (equivalent @ X0 @ X1) @ (equivalent @ X0 @ X2)) @
% 42.32/6.78 (equivalent @ X1 @ X2)) @
% 42.32/6.78 X3) @
% 42.32/6.78 X3))),
% 42.32/6.78 inference('cnf', [status(esa)], [lg_2])).
% 42.32/6.78 thf(zip_derived_cl7886, plain, ($false),
% 42.32/6.78 inference('s_sup+', [status(thm)], [zip_derived_cl7644, zip_derived_cl1])).
% 42.32/6.78
% 42.32/6.78 % SZS output end Refutation
% 42.32/6.78
% 42.32/6.78
% 42.32/6.78 % Terminating...
% 7.45/6.84 % Runner terminated.
% 7.45/6.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------