%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL091-1 : 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.vtS6ZL5j4g true
% Computer : n019.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 01:35:10 PM UTC 2026
% Result : Unsatisfiable 21.51s 3.71s
% Output : Refutation 21.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vtS6ZL5j4g true
% 0.10/0.37 % Computer : n019.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 22:45:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.39 % Running in FO mode
% 0.47/0.67 % Total configuration time : 435
% 0.47/0.67 % Estimated wc time : 1092
% 0.47/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 21.51/3.71 % Solved by fo/fo4.sh.
% 21.51/3.71 % done 834 iterations in 2.859s
% 21.51/3.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.51/3.71 % SZS output start Refutation
% 21.51/3.71 thf(b_type, type, b: $i).
% 21.51/3.71 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 21.51/3.71 thf(implies_type, type, implies: $i > $i > $i).
% 21.51/3.71 thf(a_type, type, a: $i).
% 21.51/3.71 thf(prove_ic_2, conjecture,
% 21.51/3.71 (is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ))).
% 21.51/3.71 thf(zf_stmt_0, negated_conjecture,
% 21.51/3.71 (~( is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ) )),
% 21.51/3.71 inference('cnf.neg', [status(esa)], [prove_ic_2])).
% 21.51/3.71 thf(zip_derived_cl2, plain,
% 21.51/3.71 (~ (is_a_theorem @ (implies @ a @ (implies @ b @ a)))),
% 21.51/3.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 21.51/3.71 thf(ic_JLukasiewicz_5, axiom,
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 ( implies @
% 21.51/3.71 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 21.51/3.71 ( implies @ ( implies @ S @ P ) @ ( implies @ T @ ( implies @ R @ P ) ) ) ))).
% 21.51/3.71 thf(zip_derived_cl1, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 21.51/3.71 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 21.51/3.71 thf(zip_derived_cl1, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 21.51/3.71 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 21.51/3.71 thf(zip_derived_cl1, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 21.51/3.71 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 21.51/3.71 thf(condensed_detachment, axiom,
% 21.51/3.71 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 21.51/3.71 ( is_a_theorem @ Y ))).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl3, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl4, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @
% 21.51/3.71 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 21.51/3.71 (implies @ X0 @ X4)) @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl4, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @
% 21.51/3.71 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 21.51/3.71 (implies @ X0 @ X4)) @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl5, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 21.51/3.71 (implies @ X1 @ X0))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl7, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X6 @
% 21.51/3.71 (implies @ (implies @ X5 @ X0) @
% 21.51/3.71 (implies @ X0 @
% 21.51/3.71 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 21.51/3.71 thf(zip_derived_cl7, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X6 @
% 21.51/3.71 (implies @ (implies @ X5 @ X0) @
% 21.51/3.71 (implies @ X0 @
% 21.51/3.71 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl8, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X0 @
% 21.51/3.71 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @ X4))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl11, plain,
% 21.51/3.71 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X8 @ X5) @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ (implies @ X7 @ X6) @ (implies @ X6 @ X5)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 21.51/3.71 thf(zip_derived_cl3, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl16, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @
% 21.51/3.71 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 21.51/3.71 X3) @
% 21.51/3.71 (implies @ X4 @ (implies @ X0 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl21, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @
% 21.51/3.71 (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X1)) @ X0)))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl30, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 21.51/3.71 thf(zip_derived_cl30, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 21.51/3.71 thf(zip_derived_cl16, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @
% 21.51/3.71 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 21.51/3.71 X3) @
% 21.51/3.71 (implies @ X4 @ (implies @ X0 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl5, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 21.51/3.71 (implies @ X1 @ X0))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl24, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X6 @
% 21.51/3.71 (implies @ (implies @ X5 @ X0) @
% 21.51/3.71 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 21.51/3.71 thf(zip_derived_cl30, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl56, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @ X4))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl61, plain,
% 21.51/3.71 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X8 @
% 21.51/3.71 (implies @ (implies @ X8 @ X5) @
% 21.51/3.71 (implies @ X7 @ (implies @ X6 @ X5)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl56])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl69, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @ X3))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl69, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @ X3))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl24, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X6 @
% 21.51/3.71 (implies @ (implies @ X5 @ X0) @
% 21.51/3.71 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 21.51/3.71 thf(zip_derived_cl16, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @
% 21.51/3.71 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 21.51/3.71 X3) @
% 21.51/3.71 (implies @ X4 @ (implies @ X0 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl21, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @
% 21.51/3.71 (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X1)) @ X0)))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl33, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ X0 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl21])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl357, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ X0 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @ X4))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl373, plain,
% 21.51/3.71 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ X8 @
% 21.51/3.71 (implies @ X6 @ (implies @ (implies @ X7 @ X6) @ X5)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl357])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl394, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @ X0))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl414, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ X3))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl394, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl439, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl414])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl444, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 21.51/3.71 | ~ (is_a_theorem @ X1))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl439, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl69, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @ X3))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl3, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl76, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X3)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 21.51/3.71 (implies @ X4 @ (implies @ X2 @ X3)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl167, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0)))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl475, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X1)
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ (implies @ X4 @ (implies @ X3 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ X0))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl167])).
% 21.51/3.71 thf(zip_derived_cl481, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @ (implies @ X4 @ (implies @ X3 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | ~ (is_a_theorem @ X1))),
% 21.51/3.71 inference('simplify', [status(thm)], [zip_derived_cl475])).
% 21.51/3.71 thf(zip_derived_cl484, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.51/3.71 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ X0))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl481])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl489, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ (implies @ X1 @ X0))
% 21.51/3.71 | ~ (is_a_theorem @ X2))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl506, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl489])).
% 21.51/3.71 thf(zip_derived_cl3, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl524, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X3) @
% 21.51/3.71 (implies @ X4 @ (implies @ X1 @ X3)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl506, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl524, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X3) @
% 21.51/3.71 (implies @ X4 @ (implies @ X1 @ X3)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl506, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl3, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl653, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X1 @ X3))
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 21.51/3.71 (implies @ X4 @ (implies @ X2 @ X3)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl3607, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X4 @ X0))
% 21.51/3.71 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0)))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl653, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl3702, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X1 @ X3))
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ X4 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl3607])).
% 21.51/3.71 thf(zip_derived_cl4073, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X3)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ X4 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X3 @ X0))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl3702])).
% 21.51/3.71 thf(zip_derived_cl4114, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X3)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X6 @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @ (implies @ X1 @ X0))))))
% 21.51/3.71 | ~ (is_a_theorem @ X2))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl4073])).
% 21.51/3.71 thf(zip_derived_cl4423, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X1)))))))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl4114])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl4433, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X2)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @ X5))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl4423, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl4504, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X1))))))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl4433])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl4514, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X2)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @ X4))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl4504, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl4585, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X1)))))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl4514])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl4595, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X2)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ X3))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl4585, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl4666, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X1))))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl4595])).
% 21.51/3.71 thf(zip_derived_cl4073, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X3)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ X4 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X3 @ X0))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl3702])).
% 21.51/3.71 thf(zip_derived_cl4690, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X2)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X5 @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ X3 @ (implies @ (implies @ X2 @ X0) @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @ X1))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl4666, zip_derived_cl4073])).
% 21.51/3.71 thf(zip_derived_cl5845, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X4 @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ X2 @ (implies @ (implies @ X0 @ X1) @ X1))))))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl4690])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl5855, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X1)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ X2 @ (implies @ (implies @ X1 @ X0) @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @ X4))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl5845, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl5931, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X3 @
% 21.51/3.71 (implies @ X2 @ (implies @ (implies @ X0 @ X1) @ X1)))))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl5855])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl5941, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X1)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X2 @ (implies @ (implies @ X1 @ X0) @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ X3))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl5931, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl6017, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X2 @ (implies @ (implies @ X0 @ X1) @ X1))))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl5941])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl6027, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X1)
% 21.51/3.71 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0))
% 21.51/3.71 | ~ (is_a_theorem @ X2))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl6017, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl6103, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 21.51/3.71 inference('condensation', [status(thm)], [zip_derived_cl6027])).
% 21.51/3.71 thf(zip_derived_cl24, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X6 @
% 21.51/3.71 (implies @ (implies @ X5 @ X0) @
% 21.51/3.71 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 21.51/3.71 thf(zip_derived_cl24, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ X6 @
% 21.51/3.71 (implies @ (implies @ X5 @ X0) @
% 21.51/3.71 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl34, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 21.51/3.71 | ~ (is_a_theorem @ X4))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl39, plain,
% 21.51/3.71 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X8 @ X5) @
% 21.51/3.71 (implies @ X5 @ (implies @ X7 @ (implies @ X6 @ X5)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl34])).
% 21.51/3.71 thf(zip_derived_cl3, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X3 @ X0) @
% 21.51/3.71 (implies @ X2 @ (implies @ X1 @ X0))))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl49, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 21.51/3.71 (implies @ X4 @ (implies @ X0 @ X3))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl3])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl1675, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 21.51/3.71 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @
% 21.51/3.71 (implies @ (implies @ X4 @ (implies @ X3 @ X1)) @ X0)))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl6172, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ X2)
% 21.51/3.71 | (is_a_theorem @
% 21.51/3.71 (implies @ X3 @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl6103, zip_derived_cl1675])).
% 21.51/3.71 thf(zip_derived_cl6193, plain,
% 21.51/3.71 (![X5 : $i, X6 : $i, X7 : $i]:
% 21.51/3.71 (is_a_theorem @ (implies @ X7 @ (implies @ X5 @ (implies @ X6 @ X5))))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6172])).
% 21.51/3.71 thf(zip_derived_cl0, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i]:
% 21.51/3.71 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 21.51/3.71 | ~ (is_a_theorem @ X0)
% 21.51/3.71 | (is_a_theorem @ X1))),
% 21.51/3.71 inference('cnf', [status(esa)], [condensed_detachment])).
% 21.51/3.71 thf(zip_derived_cl6244, plain,
% 21.51/3.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.51/3.71 ( (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 21.51/3.71 | ~ (is_a_theorem @ X2))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl6193, zip_derived_cl0])).
% 21.51/3.71 thf(zip_derived_cl6326, plain,
% 21.51/3.71 (![X5 : $i, X6 : $i]:
% 21.51/3.71 (is_a_theorem @ (implies @ X5 @ (implies @ X6 @ X5)))),
% 21.51/3.71 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6244])).
% 21.51/3.71 thf(zip_derived_cl6369, plain, ($false),
% 21.51/3.71 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl6326])).
% 21.51/3.71
% 21.51/3.71 % SZS output end Refutation
% 21.51/3.71
% 21.51/3.71
% 21.51/3.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 21.51/3.71 % Terminating...
% 21.51/3.76 % Runner terminated.
% 21.51/3.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------