%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL090-1 : 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.3rspprfv70 true
% Computer : n003.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 22.63s 4.03s
% Output : Refutation 22.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL090-1 : 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.3rspprfv70 true
% 0.12/0.38 % Computer : n003.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 : Fri Sep 4 23:18:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox2/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
% 0.45/0.67 % Total configuration time : 435
% 0.45/0.67 % Estimated wc time : 1092
% 0.45/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.80 % /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/fo1_av.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 22.63/4.03 % Solved by fo/fo4.sh.
% 22.63/4.03 % done 859 iterations in 3.185s
% 22.63/4.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 22.63/4.03 % SZS output start Refutation
% 22.63/4.03 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 22.63/4.03 thf(implies_type, type, implies: $i > $i > $i).
% 22.63/4.03 thf(a_type, type, a: $i).
% 22.63/4.03 thf(prove_ic_1, conjecture, (is_a_theorem @ ( implies @ a @ a ))).
% 22.63/4.03 thf(zf_stmt_0, negated_conjecture, (~( is_a_theorem @ ( implies @ a @ a ) )),
% 22.63/4.03 inference('cnf.neg', [status(esa)], [prove_ic_1])).
% 22.63/4.03 thf(zip_derived_cl2, plain, (~ (is_a_theorem @ (implies @ a @ a))),
% 22.63/4.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 22.63/4.03 thf(ic_JLukasiewicz_5, axiom,
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 ( implies @
% 22.63/4.03 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 22.63/4.03 ( implies @ ( implies @ S @ P ) @ ( implies @ T @ ( implies @ R @ P ) ) ) ))).
% 22.63/4.03 thf(zip_derived_cl1, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 22.63/4.03 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 22.63/4.03 thf(zip_derived_cl1, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 22.63/4.03 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 22.63/4.03 thf(zip_derived_cl1, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 22.63/4.03 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 22.63/4.03 thf(condensed_detachment, axiom,
% 22.63/4.03 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 22.63/4.03 ( is_a_theorem @ Y ))).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl3, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl4, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @
% 22.63/4.03 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 22.63/4.03 (implies @ X0 @ X4)) @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl4, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @
% 22.63/4.03 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 22.63/4.03 (implies @ X0 @ X4)) @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl5, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 22.63/4.03 (implies @ X1 @ X0))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl7, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X6 @
% 22.63/4.03 (implies @ (implies @ X5 @ X0) @
% 22.63/4.03 (implies @ X0 @
% 22.63/4.03 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 22.63/4.03 thf(zip_derived_cl7, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X6 @
% 22.63/4.03 (implies @ (implies @ X5 @ X0) @
% 22.63/4.03 (implies @ X0 @
% 22.63/4.03 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl8, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X0 @
% 22.63/4.03 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))
% 22.63/4.03 | ~ (is_a_theorem @ X4))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl11, plain,
% 22.63/4.03 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X8 @ X5) @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ (implies @ X7 @ X6) @ (implies @ X6 @ X5)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl8])).
% 22.63/4.03 thf(zip_derived_cl3, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl16, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @
% 22.63/4.03 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 22.63/4.03 X3) @
% 22.63/4.03 (implies @ X4 @ (implies @ X0 @ X3))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl21, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @
% 22.63/4.03 (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X1)) @ X0)))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl30, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 22.63/4.03 thf(zip_derived_cl30, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 22.63/4.03 thf(zip_derived_cl16, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @
% 22.63/4.03 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 22.63/4.03 X3) @
% 22.63/4.03 (implies @ X4 @ (implies @ X0 @ X3))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl5, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 22.63/4.03 (implies @ X1 @ X0))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl24, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X6 @
% 22.63/4.03 (implies @ (implies @ X5 @ X0) @
% 22.63/4.03 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 22.63/4.03 thf(zip_derived_cl30, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl56, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0)))))
% 22.63/4.03 | ~ (is_a_theorem @ X4))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl61, plain,
% 22.63/4.03 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X8 @
% 22.63/4.03 (implies @ (implies @ X8 @ X5) @
% 22.63/4.03 (implies @ X7 @ (implies @ X6 @ X5)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl56])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl69, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @ X3))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl69, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @ X3))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl24, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X6 @
% 22.63/4.03 (implies @ (implies @ X5 @ X0) @
% 22.63/4.03 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 22.63/4.03 thf(zip_derived_cl16, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @
% 22.63/4.03 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 22.63/4.03 X3) @
% 22.63/4.03 (implies @ X4 @ (implies @ X0 @ X3))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl21, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @
% 22.63/4.03 (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X1)) @ X0)))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl33, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ X0 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl21])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl357, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ X0 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))))
% 22.63/4.03 | ~ (is_a_theorem @ X4))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl373, plain,
% 22.63/4.03 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 22.63/4.03 (is_a_theorem @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ X8 @
% 22.63/4.03 (implies @ X6 @ (implies @ (implies @ X7 @ X6) @ X5)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl357])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl394, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @ X0))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl414, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @ X3))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl394, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl439, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl414])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl444, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 22.63/4.03 | ~ (is_a_theorem @ X1))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl439, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl69, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @ X3))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl3, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl76, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X3)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 22.63/4.03 (implies @ X4 @ (implies @ X2 @ X3)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl167, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0)))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl475, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X1)
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ (implies @ X4 @ (implies @ X3 @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @ X0))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl167])).
% 22.63/4.03 thf(zip_derived_cl481, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @ (implies @ X4 @ (implies @ X3 @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | ~ (is_a_theorem @ X1))),
% 22.63/4.03 inference('simplify', [status(thm)], [zip_derived_cl475])).
% 22.63/4.03 thf(zip_derived_cl484, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.03 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @ X0))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl481])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl489, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ (implies @ X1 @ X0))
% 22.63/4.03 | ~ (is_a_theorem @ X2))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl484, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl505, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl489])).
% 22.63/4.03 thf(zip_derived_cl3, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl523, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X0 @ X3) @
% 22.63/4.03 (implies @ X4 @ (implies @ X1 @ X3)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl523, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X0 @ X3) @
% 22.63/4.03 (implies @ X4 @ (implies @ X1 @ X3)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl3, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 ( (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @
% 22.63/4.03 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl650, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X1 @ X3))
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 22.63/4.03 (implies @ X4 @ (implies @ X2 @ X3)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl523, zip_derived_cl3])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl3606, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X4 @ X0))
% 22.63/4.03 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0)))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl650, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl3701, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X1 @ X3))
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ X4 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 22.63/4.03 | ~ (is_a_theorem @
% 22.63/4.03 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl523, zip_derived_cl3606])).
% 22.63/4.03 thf(zip_derived_cl4072, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X3)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ X4 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 22.63/4.03 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X3 @ X0))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl3701])).
% 22.63/4.03 thf(zip_derived_cl4113, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X3)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X6 @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ (implies @ X3 @ X0) @ (implies @ X1 @ X0))))))
% 22.63/4.03 | ~ (is_a_theorem @ X2))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl4072])).
% 22.63/4.03 thf(zip_derived_cl4422, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X1)))))))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl4113])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl4432, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X2)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))
% 22.63/4.03 | ~ (is_a_theorem @ X5))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl4422, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl4503, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X1))))))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl4432])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl4513, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X2)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @ X4))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl4503, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl4584, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X1)))))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl4513])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl4594, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X2)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 22.63/4.03 | ~ (is_a_theorem @ X3))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl4584, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl4665, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X1))))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl4594])).
% 22.63/4.03 thf(zip_derived_cl4072, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X3)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ X4 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 22.63/4.03 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X3 @ X0))))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl3701])).
% 22.63/4.03 thf(zip_derived_cl4689, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X2)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X5 @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ X3 @ (implies @ (implies @ X2 @ X0) @ X0)))))
% 22.63/4.03 | ~ (is_a_theorem @ X1))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl4665, zip_derived_cl4072])).
% 22.63/4.03 thf(zip_derived_cl5844, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X4 @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ X2 @ (implies @ (implies @ X0 @ X1) @ X1))))))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl4689])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.03 | ~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @ X1))),
% 22.63/4.03 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.03 thf(zip_derived_cl5854, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X1)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ X2 @ (implies @ (implies @ X1 @ X0) @ X0))))
% 22.63/4.03 | ~ (is_a_theorem @ X4))),
% 22.63/4.03 inference('sup-', [status(thm)], [zip_derived_cl5844, zip_derived_cl0])).
% 22.63/4.03 thf(zip_derived_cl5930, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ X0)
% 22.63/4.03 | (is_a_theorem @
% 22.63/4.03 (implies @ X3 @
% 22.63/4.03 (implies @ X2 @ (implies @ (implies @ X0 @ X1) @ X1)))))),
% 22.63/4.03 inference('condensation', [status(thm)], [zip_derived_cl5854])).
% 22.63/4.03 thf(zip_derived_cl0, plain,
% 22.63/4.03 (![X0 : $i, X1 : $i]:
% 22.63/4.03 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.04 | ~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ X1))),
% 22.63/4.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.04 thf(zip_derived_cl5940, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ X1)
% 22.63/4.04 | (is_a_theorem @
% 22.63/4.04 (implies @ X2 @ (implies @ (implies @ X1 @ X0) @ X0)))
% 22.63/4.04 | ~ (is_a_theorem @ X3))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl5930, zip_derived_cl0])).
% 22.63/4.04 thf(zip_derived_cl6016, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @
% 22.63/4.04 (implies @ X2 @ (implies @ (implies @ X0 @ X1) @ X1))))),
% 22.63/4.04 inference('condensation', [status(thm)], [zip_derived_cl5940])).
% 22.63/4.04 thf(zip_derived_cl0, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.04 | ~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ X1))),
% 22.63/4.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.04 thf(zip_derived_cl6026, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ X1)
% 22.63/4.04 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0))
% 22.63/4.04 | ~ (is_a_theorem @ X2))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl6016, zip_derived_cl0])).
% 22.63/4.04 thf(zip_derived_cl6102, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 22.63/4.04 inference('condensation', [status(thm)], [zip_derived_cl6026])).
% 22.63/4.04 thf(zip_derived_cl30, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.04 (is_a_theorem @
% 22.63/4.04 (implies @ X4 @
% 22.63/4.04 (implies @ X3 @
% 22.63/4.04 (implies @ (implies @ X3 @ X0) @
% 22.63/4.04 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 22.63/4.04 thf(zip_derived_cl30, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.04 (is_a_theorem @
% 22.63/4.04 (implies @ X4 @
% 22.63/4.04 (implies @ X3 @
% 22.63/4.04 (implies @ (implies @ X3 @ X0) @
% 22.63/4.04 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 22.63/4.04 thf(zip_derived_cl6102, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 22.63/4.04 inference('condensation', [status(thm)], [zip_derived_cl6026])).
% 22.63/4.04 thf(zip_derived_cl24, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 22.63/4.04 (is_a_theorem @
% 22.63/4.04 (implies @ X6 @
% 22.63/4.04 (implies @ (implies @ X5 @ X0) @
% 22.63/4.04 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 22.63/4.04 thf(zip_derived_cl24, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 22.63/4.04 (is_a_theorem @
% 22.63/4.04 (implies @ X6 @
% 22.63/4.04 (implies @ (implies @ X5 @ X0) @
% 22.63/4.04 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 22.63/4.04 thf(zip_derived_cl0, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.04 | ~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ X1))),
% 22.63/4.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.04 thf(zip_derived_cl34, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.04 ( (is_a_theorem @
% 22.63/4.04 (implies @ (implies @ X3 @ X0) @
% 22.63/4.04 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 22.63/4.04 | ~ (is_a_theorem @ X4))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 22.63/4.04 thf(zip_derived_cl39, plain,
% 22.63/4.04 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 22.63/4.04 (is_a_theorem @
% 22.63/4.04 (implies @ (implies @ X8 @ X5) @
% 22.63/4.04 (implies @ X5 @ (implies @ X7 @ (implies @ X6 @ X5)))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl34])).
% 22.63/4.04 thf(zip_derived_cl3, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.04 ( (is_a_theorem @
% 22.63/4.04 (implies @ (implies @ X3 @ X0) @
% 22.63/4.04 (implies @ X2 @ (implies @ X1 @ X0))))
% 22.63/4.04 | ~ (is_a_theorem @
% 22.63/4.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 22.63/4.04 thf(zip_derived_cl49, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.04 (is_a_theorem @
% 22.63/4.04 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 22.63/4.04 (implies @ X4 @ (implies @ X0 @ X3))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl3])).
% 22.63/4.04 thf(zip_derived_cl0, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.04 | ~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ X1))),
% 22.63/4.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.04 thf(zip_derived_cl1674, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 22.63/4.04 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 22.63/4.04 | ~ (is_a_theorem @
% 22.63/4.04 (implies @ (implies @ X4 @ (implies @ X3 @ X1)) @ X0)))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 22.63/4.04 thf(zip_derived_cl6171, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ X2)
% 22.63/4.04 | (is_a_theorem @
% 22.63/4.04 (implies @ X3 @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl6102, zip_derived_cl1674])).
% 22.63/4.04 thf(zip_derived_cl6192, plain,
% 22.63/4.04 (![X5 : $i, X6 : $i, X7 : $i]:
% 22.63/4.04 (is_a_theorem @ (implies @ X7 @ (implies @ X5 @ (implies @ X6 @ X5))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6171])).
% 22.63/4.04 thf(zip_derived_cl0, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.04 | ~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ X1))),
% 22.63/4.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.04 thf(zip_derived_cl6243, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.04 ( (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 22.63/4.04 | ~ (is_a_theorem @ X2))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl6192, zip_derived_cl0])).
% 22.63/4.04 thf(zip_derived_cl6325, plain,
% 22.63/4.04 (![X5 : $i, X6 : $i]:
% 22.63/4.04 (is_a_theorem @ (implies @ X5 @ (implies @ X6 @ X5)))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6243])).
% 22.63/4.04 thf(zip_derived_cl523, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 22.63/4.04 | (is_a_theorem @
% 22.63/4.04 (implies @ (implies @ X0 @ X3) @
% 22.63/4.04 (implies @ X4 @ (implies @ X1 @ X3)))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl505, zip_derived_cl3])).
% 22.63/4.04 thf(zip_derived_cl0, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.04 | ~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ X1))),
% 22.63/4.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.04 thf(zip_derived_cl639, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ X1 @ X3))
% 22.63/4.04 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 22.63/4.04 | ~ (is_a_theorem @ (implies @ X3 @ X0)))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl523, zip_derived_cl0])).
% 22.63/4.04 thf(zip_derived_cl6382, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 22.63/4.04 | (is_a_theorem @ (implies @ X3 @ (implies @ X0 @ X2))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl6325, zip_derived_cl639])).
% 22.63/4.04 thf(zip_derived_cl6483, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ X1)
% 22.63/4.04 | (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ X0))))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl6102, zip_derived_cl6382])).
% 22.63/4.04 thf(zip_derived_cl6503, plain,
% 22.63/4.04 (![X5 : $i, X6 : $i]:
% 22.63/4.04 (is_a_theorem @ (implies @ X6 @ (implies @ X5 @ X5)))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6483])).
% 22.63/4.04 thf(zip_derived_cl0, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 22.63/4.04 | ~ (is_a_theorem @ X0)
% 22.63/4.04 | (is_a_theorem @ X1))),
% 22.63/4.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 22.63/4.04 thf(zip_derived_cl6556, plain,
% 22.63/4.04 (![X0 : $i, X1 : $i]:
% 22.63/4.04 ( (is_a_theorem @ (implies @ X0 @ X0)) | ~ (is_a_theorem @ X1))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl6503, zip_derived_cl0])).
% 22.63/4.04 thf(zip_derived_cl6639, plain,
% 22.63/4.04 (![X5 : $i]: (is_a_theorem @ (implies @ X5 @ X5))),
% 22.63/4.04 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl6556])).
% 22.63/4.04 thf(zip_derived_cl6684, plain, ($false),
% 22.63/4.04 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl6639])).
% 22.63/4.04
% 22.63/4.04 % SZS output end Refutation
% 22.63/4.04
% 22.63/4.04
% 22.63/4.04 % Terminating...
% 23.69/4.09 % Runner terminated.
% 23.69/4.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------