TSTP Solution File: LCL067-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LYApzn3UhW true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:58:02 EDT 2023
% Result : Unsatisfiable 185.13s 27.02s
% Output : Refutation 185.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LYApzn3UhW true
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 18:29:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.19/0.65 % Total configuration time : 435
% 0.19/0.65 % Estimated wc time : 1092
% 0.19/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 185.13/27.02 % Solved by fo/fo13.sh.
% 185.13/27.02 % done 10656 iterations in 26.253s
% 185.13/27.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 185.13/27.02 % SZS output start Refutation
% 185.13/27.02 thf(a_type, type, a: $i).
% 185.13/27.02 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 185.13/27.02 thf(implies_type, type, implies: $i > $i > $i).
% 185.13/27.02 thf(c_type, type, c: $i).
% 185.13/27.02 thf(not_type, type, not: $i > $i).
% 185.13/27.02 thf(b_type, type, b: $i).
% 185.13/27.02 thf(cn_19, axiom,
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 ( implies @ ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ Y @ Z ) ))).
% 185.13/27.02 thf(zip_derived_cl1, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 185.13/27.02 (implies @ X1 @ X2)))),
% 185.13/27.02 inference('cnf', [status(esa)], [cn_19])).
% 185.13/27.02 thf(condensed_detachment, axiom,
% 185.13/27.02 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 185.13/27.02 ( is_a_theorem @ Y ))).
% 185.13/27.02 thf(zip_derived_cl0, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 185.13/27.02 | ~ (is_a_theorem @ X0)
% 185.13/27.02 | (is_a_theorem @ X1))),
% 185.13/27.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 185.13/27.02 thf(zip_derived_cl5, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl1, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 185.13/27.02 (implies @ X1 @ X2)))),
% 185.13/27.02 inference('cnf', [status(esa)], [cn_19])).
% 185.13/27.02 thf(zip_derived_cl15, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 185.13/27.02 thf(zip_derived_cl5, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl26, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @ (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl5])).
% 185.13/27.02 thf(zip_derived_cl5, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl117, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ X0 @
% 185.13/27.02 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl5])).
% 185.13/27.02 thf(cn_59, axiom,
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 ( implies @
% 185.13/27.02 ( implies @ ( not @ X ) @ Z ) @
% 185.13/27.02 ( implies @ ( implies @ Y @ Z ) @ ( implies @ ( implies @ X @ Y ) @ Z ) ) ))).
% 185.13/27.02 thf(zip_derived_cl3, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ (not @ X0) @ X1) @
% 185.13/27.02 (implies @ (implies @ X2 @ X1) @
% 185.13/27.02 (implies @ (implies @ X0 @ X2) @ X1))))),
% 185.13/27.02 inference('cnf', [status(esa)], [cn_59])).
% 185.13/27.02 thf(zip_derived_cl0, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 185.13/27.02 | ~ (is_a_theorem @ X0)
% 185.13/27.02 | (is_a_theorem @ X1))),
% 185.13/27.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 185.13/27.02 thf(zip_derived_cl19, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 185.13/27.02 | (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ X1 @ X0) @
% 185.13/27.02 (implies @ (implies @ X2 @ X1) @ X0))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl0, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 185.13/27.02 | ~ (is_a_theorem @ X0)
% 185.13/27.02 | (is_a_theorem @ X1))),
% 185.13/27.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 185.13/27.02 thf(zip_derived_cl119, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 185.13/27.02 | ~ (is_a_theorem @ (implies @ X1 @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl515, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 185.13/27.02 (~ (is_a_theorem @
% 185.13/27.02 (implies @ (not @ X4) @
% 185.13/27.02 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 185.13/27.02 | (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ X4 @ X0) @
% 185.13/27.02 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl119])).
% 185.13/27.02 thf(zip_derived_cl19, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 185.13/27.02 | (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ X1 @ X0) @
% 185.13/27.02 (implies @ (implies @ X2 @ X1) @ X0))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 185.13/27.02 thf(cn_37, axiom,
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 ( implies @
% 185.13/27.02 ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ ( not @ X ) @ Z ) ))).
% 185.13/27.02 thf(zip_derived_cl2, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 185.13/27.02 (implies @ (not @ X0) @ X2)))),
% 185.13/27.02 inference('cnf', [status(esa)], [cn_37])).
% 185.13/27.02 thf(zip_derived_cl0, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 185.13/27.02 | ~ (is_a_theorem @ X0)
% 185.13/27.02 | (is_a_theorem @ X1))),
% 185.13/27.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 185.13/27.02 thf(zip_derived_cl10, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl130, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 185.13/27.02 | (is_a_theorem @
% 185.13/27.02 (implies @ (not @ X1) @ (implies @ (implies @ X2 @ X1) @ X0))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10])).
% 185.13/27.02 thf(zip_derived_cl1661, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 185.13/27.02 ( (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ X3 @ X0) @
% 185.13/27.02 (implies @ (implies @ X4 @ X3) @
% 185.13/27.02 (implies @ X2 @ (implies @ X1 @ X0)))))
% 185.13/27.02 | ~ (is_a_theorem @
% 185.13/27.02 (implies @ (not @ X4) @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl515, zip_derived_cl130])).
% 185.13/27.02 thf(zip_derived_cl1, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 185.13/27.02 (implies @ X1 @ X2)))),
% 185.13/27.02 inference('cnf', [status(esa)], [cn_19])).
% 185.13/27.02 thf(zip_derived_cl119, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 185.13/27.02 | ~ (is_a_theorem @ (implies @ X1 @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl517, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (not @ X3) @ (implies @ X1 @ X0)))
% 185.13/27.02 | (is_a_theorem @
% 185.13/27.02 (implies @
% 185.13/27.02 (implies @ X3 @ (implies @ (implies @ X2 @ X1) @ X0)) @
% 185.13/27.02 (implies @ X1 @ X0))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl119])).
% 185.13/27.02 thf(zip_derived_cl19, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (not @ X2) @ X0))
% 185.13/27.02 | (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ X1 @ X0) @
% 185.13/27.02 (implies @ (implies @ X2 @ X1) @ X0))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 185.13/27.02 thf(prove_cn_1, conjecture,
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 ( implies @
% 185.13/27.02 ( implies @ a @ b ) @
% 185.13/27.02 ( implies @ ( implies @ b @ c ) @ ( implies @ a @ c ) ) ))).
% 185.13/27.02 thf(zf_stmt_0, negated_conjecture,
% 185.13/27.02 (~( is_a_theorem @
% 185.13/27.02 ( implies @
% 185.13/27.02 ( implies @ a @ b ) @
% 185.13/27.02 ( implies @ ( implies @ b @ c ) @ ( implies @ a @ c ) ) ) )),
% 185.13/27.02 inference('cnf.neg', [status(esa)], [prove_cn_1])).
% 185.13/27.02 thf(zip_derived_cl4, plain,
% 185.13/27.02 (~ (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ a @ b) @
% 185.13/27.02 (implies @ (implies @ b @ c) @ (implies @ a @ c))))),
% 185.13/27.02 inference('cnf', [status(esa)], [zf_stmt_0])).
% 185.13/27.02 thf(zip_derived_cl0, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 185.13/27.02 | ~ (is_a_theorem @ X0)
% 185.13/27.02 | (is_a_theorem @ X1))),
% 185.13/27.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 185.13/27.02 thf(zip_derived_cl6, plain,
% 185.13/27.02 (![X0 : $i]:
% 185.13/27.02 (~ (is_a_theorem @
% 185.13/27.02 (implies @ X0 @
% 185.13/27.02 (implies @ (implies @ a @ b) @
% 185.13/27.02 (implies @ (implies @ b @ c) @ (implies @ a @ c)))))
% 185.13/27.02 | ~ (is_a_theorem @ X0))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl120, plain,
% 185.13/27.02 ((~ (is_a_theorem @
% 185.13/27.02 (implies @ (not @ a) @
% 185.13/27.02 (implies @ (implies @ b @ c) @ (implies @ a @ c))))
% 185.13/27.02 | ~ (is_a_theorem @
% 185.13/27.02 (implies @ b @ (implies @ (implies @ b @ c) @ (implies @ a @ c)))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 185.13/27.02 thf(zip_derived_cl10, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl207, plain,
% 185.13/27.02 (![X0 : $i]:
% 185.13/27.02 (~ (is_a_theorem @
% 185.13/27.02 (implies @ b @ (implies @ (implies @ b @ c) @ (implies @ a @ c))))
% 185.13/27.02 | ~ (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ a @ X0) @
% 185.13/27.02 (implies @ (implies @ b @ c) @ (implies @ a @ c)))))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl10])).
% 185.13/27.02 thf(zip_derived_cl15, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 185.13/27.02 thf(zip_derived_cl219, plain,
% 185.13/27.02 (~ (is_a_theorem @
% 185.13/27.02 (implies @ b @ (implies @ (implies @ b @ c) @ (implies @ a @ c))))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl15])).
% 185.13/27.02 thf(zip_derived_cl0, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 185.13/27.02 | ~ (is_a_theorem @ X0)
% 185.13/27.02 | (is_a_theorem @ X1))),
% 185.13/27.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 185.13/27.02 thf(zip_derived_cl228, plain,
% 185.13/27.02 (![X0 : $i]:
% 185.13/27.02 (~ (is_a_theorem @
% 185.13/27.02 (implies @ X0 @
% 185.13/27.02 (implies @ b @ (implies @ (implies @ b @ c) @ (implies @ a @ c)))))
% 185.13/27.02 | ~ (is_a_theorem @ X0))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl219, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl1734, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (~ (is_a_theorem @
% 185.13/27.02 (implies @ (not @ X1) @
% 185.13/27.02 (implies @ b @ (implies @ (implies @ b @ c) @ (implies @ a @ c)))))
% 185.13/27.02 | ~ (is_a_theorem @
% 185.13/27.02 (implies @ X1 @
% 185.13/27.02 (implies @ (implies @ X0 @ b) @
% 185.13/27.02 (implies @ (implies @ b @ c) @ (implies @ a @ c))))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl228])).
% 185.13/27.02 thf(zip_derived_cl25902, plain,
% 185.13/27.02 (![X0 : $i]:
% 185.13/27.02 (~ (is_a_theorem @
% 185.13/27.02 (implies @ (not @ X0) @
% 185.13/27.02 (implies @ (implies @ b @ c) @ (implies @ a @ c))))
% 185.13/27.02 | ~ (is_a_theorem @
% 185.13/27.02 (implies @ (not @ (implies @ b @ c)) @
% 185.13/27.02 (implies @ b @
% 185.13/27.02 (implies @ (implies @ b @ c) @ (implies @ a @ c))))))),
% 185.13/27.02 inference('s_sup-', [status(thm)],
% 185.13/27.02 [zip_derived_cl1661, zip_derived_cl1734])).
% 185.13/27.02 thf(zip_derived_cl15, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i]:
% 185.13/27.02 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 185.13/27.02 thf(zip_derived_cl10, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl44, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ (not @ X1) @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 185.13/27.02 thf(zip_derived_cl25925, plain,
% 185.13/27.02 (![X0 : $i]:
% 185.13/27.02 ~ (is_a_theorem @
% 185.13/27.02 (implies @ (not @ X0) @
% 185.13/27.02 (implies @ (implies @ b @ c) @ (implies @ a @ c))))),
% 185.13/27.02 inference('demod', [status(thm)], [zip_derived_cl25902, zip_derived_cl44])).
% 185.13/27.02 thf(zip_derived_cl10, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 185.13/27.02 | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 185.13/27.02 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 185.13/27.02 thf(zip_derived_cl1, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 185.13/27.02 (implies @ X1 @ X2)))),
% 185.13/27.02 inference('cnf', [status(esa)], [cn_19])).
% 185.13/27.02 thf(zip_derived_cl35, plain,
% 185.13/27.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 185.13/27.02 (is_a_theorem @
% 185.13/27.02 (implies @ (not @ (implies @ X2 @ X1)) @ (implies @ X1 @ X0)))),
% 185.13/27.02 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 185.13/27.02 thf(zip_derived_cl85908, plain, ($false),
% 185.13/27.02 inference('s_sup+', [status(thm)],
% 185.13/27.02 [zip_derived_cl25925, zip_derived_cl35])).
% 185.13/27.02
% 185.13/27.02 % SZS output end Refutation
% 185.13/27.02
% 185.13/27.02
% 185.13/27.02 % Terminating...
% 185.13/27.11 % Runner terminated.
% 185.13/27.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------