TSTP Solution File: LCL094-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL094-1 : 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.zO0jqAmlbX true
% Computer : n007.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 08:58:09 EDT 2023
% Result : Unsatisfiable 10.18s 2.05s
% Output : Refutation 10.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL094-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zO0jqAmlbX true
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 23:30:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.08/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.08/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.08/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.08/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.08/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.08/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.18/2.05 % Solved by fo/fo13.sh.
% 10.18/2.05 % done 675 iterations in 1.278s
% 10.18/2.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.18/2.05 % SZS output start Refutation
% 10.18/2.05 thf(b_type, type, b: $i).
% 10.18/2.05 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 10.18/2.05 thf(implies_type, type, implies: $i > $i > $i).
% 10.18/2.05 thf(a_type, type, a: $i).
% 10.18/2.05 thf(ic_JLukasiewicz_4, axiom,
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 ( implies @
% 10.18/2.05 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 10.18/2.05 ( implies @ T @ ( implies @ ( implies @ S @ P ) @ ( implies @ R @ P ) ) ) ))).
% 10.18/2.05 thf(zip_derived_cl1, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 10.18/2.05 (implies @ X4 @
% 10.18/2.05 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 10.18/2.05 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 10.18/2.05 thf(condensed_detachment, axiom,
% 10.18/2.05 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 10.18/2.05 ( is_a_theorem @ Y ))).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl4, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ X3 @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl8, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 10.18/2.05 | ~ (is_a_theorem @ X3)
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl13, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 10.18/2.05 thf(zip_derived_cl1, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 10.18/2.05 (implies @ X4 @
% 10.18/2.05 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 10.18/2.05 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 10.18/2.05 thf(zip_derived_cl16, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 10.18/2.05 (implies @ X0 @ X4)) @
% 10.18/2.05 (implies @ X3 @ (implies @ X0 @ X4))))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl274, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 10.18/2.05 (implies @ X1 @ X0)))
% 10.18/2.05 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl16, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 10.18/2.05 (implies @ X0 @ X4)) @
% 10.18/2.05 (implies @ X3 @ (implies @ X0 @ X4))))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 10.18/2.05 thf(zip_derived_cl506, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X3 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ X3 @
% 10.18/2.05 (implies @ (implies @ X1 @ X0) @
% 10.18/2.05 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl16])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl711, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ X2)
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X1 @ X0) @
% 10.18/2.05 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl506, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl274, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 10.18/2.05 (implies @ X1 @ X0)))
% 10.18/2.05 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl274, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 10.18/2.05 (implies @ X1 @ X0)))
% 10.18/2.05 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl1, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 10.18/2.05 (implies @ X4 @
% 10.18/2.05 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 10.18/2.05 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 10.18/2.05 thf(zip_derived_cl503, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ X3 @
% 10.18/2.05 (implies @ X2 @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl1])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl620, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ X3)
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ X2 @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl503, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl13, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 10.18/2.05 thf(prove_ic_5, conjecture,
% 10.18/2.05 (is_a_theorem @ ( implies @ a @ ( implies @ ( implies @ a @ b ) @ b ) ))).
% 10.18/2.05 thf(zf_stmt_0, negated_conjecture,
% 10.18/2.05 (~( is_a_theorem @ ( implies @ a @ ( implies @ ( implies @ a @ b ) @ b ) ) )),
% 10.18/2.05 inference('cnf.neg', [status(esa)], [prove_ic_5])).
% 10.18/2.05 thf(zip_derived_cl2, plain,
% 10.18/2.05 (~ (is_a_theorem @ (implies @ a @ (implies @ (implies @ a @ b) @ b)))),
% 10.18/2.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl3, plain,
% 10.18/2.05 (![X0 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ X0 @ (implies @ a @ (implies @ (implies @ a @ b) @ b))))
% 10.18/2.05 | ~ (is_a_theorem @ X0))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl19, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ (implies @ a @ b) @ b) @ X1) @
% 10.18/2.05 (implies @ a @ X0)))
% 10.18/2.05 | ~ (is_a_theorem @
% 10.18/2.05 (implies @ X0 @ (implies @ (implies @ a @ b) @ b))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl3])).
% 10.18/2.05 thf(zip_derived_cl13, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl18, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X2)))
% 10.18/2.05 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 10.18/2.05 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl43, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ (implies @ (implies @ a @ b) @ b)))
% 10.18/2.05 | ~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ a @ X0) @ X3) @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @ (implies @ (implies @ a @ b) @ b) @ X1) @ X2)))
% 10.18/2.05 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ a @ X0))))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl18])).
% 10.18/2.05 thf(zip_derived_cl3029, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ X2)
% 10.18/2.05 | ~ (is_a_theorem @ (implies @ b @ (implies @ (implies @ a @ b) @ b)))
% 10.18/2.05 | ~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X1 @ X0) @ (implies @ a @ b))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl620, zip_derived_cl43])).
% 10.18/2.05 thf(zip_derived_cl3084, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ (implies @ a @ b)))
% 10.18/2.05 | ~ (is_a_theorem @ (implies @ b @ (implies @ (implies @ a @ b) @ b))))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl3029])).
% 10.18/2.05 thf(zip_derived_cl503, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ X3 @
% 10.18/2.05 (implies @ X2 @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl1])).
% 10.18/2.05 thf(zip_derived_cl1, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 10.18/2.05 (implies @ X4 @
% 10.18/2.05 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 10.18/2.05 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 10.18/2.05 thf(zip_derived_cl18, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X2)))
% 10.18/2.05 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 10.18/2.05 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl41, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @ X3 @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))) @
% 10.18/2.05 X6) @
% 10.18/2.05 (implies @ X5 @
% 10.18/2.05 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))))
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ X5 @
% 10.18/2.05 (implies @ X3 @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl18])).
% 10.18/2.05 thf(zip_derived_cl634, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ X2 @
% 10.18/2.05 (implies @ X4 @
% 10.18/2.05 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ X2)))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl503, zip_derived_cl41])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl972, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ X3 @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl634, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl1104, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ X0)
% 10.18/2.05 | ~ (is_a_theorem @ X3)
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl972, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl1312, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.18/2.05 ( (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 10.18/2.05 | ~ (is_a_theorem @ X0))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl1104])).
% 10.18/2.05 thf(zip_derived_cl13, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 10.18/2.05 thf(zip_derived_cl1339, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ X2))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl1312, zip_derived_cl13])).
% 10.18/2.05 thf(zip_derived_cl3098, plain,
% 10.18/2.05 (![X0 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ b @ (implies @ (implies @ a @ b) @ b)))
% 10.18/2.05 | ~ (is_a_theorem @ X0))),
% 10.18/2.05 inference('s_sup+', [status(thm)],
% 10.18/2.05 [zip_derived_cl3084, zip_derived_cl1339])).
% 10.18/2.05 thf(zip_derived_cl3164, plain,
% 10.18/2.05 (~ (is_a_theorem @ (implies @ b @ (implies @ (implies @ a @ b) @ b)))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl3098])).
% 10.18/2.05 thf(zip_derived_cl0, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.18/2.05 | ~ (is_a_theorem @ X0)
% 10.18/2.05 | (is_a_theorem @ X1))),
% 10.18/2.05 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.18/2.05 thf(zip_derived_cl3165, plain,
% 10.18/2.05 (![X0 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ X0 @ (implies @ b @ (implies @ (implies @ a @ b) @ b))))
% 10.18/2.05 | ~ (is_a_theorem @ X0))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl3164, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl3175, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ X2 @ b) @ (implies @ X1 @ b)) @
% 10.18/2.05 (implies @ b @ (implies @ (implies @ a @ b) @ b))))
% 10.18/2.05 | ~ (is_a_theorem @ X0))),
% 10.18/2.05 inference('s_sup-', [status(thm)],
% 10.18/2.05 [zip_derived_cl274, zip_derived_cl3165])).
% 10.18/2.05 thf(zip_derived_cl3545, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 ~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ X1 @ b) @ (implies @ X0 @ b)) @
% 10.18/2.05 (implies @ b @ (implies @ (implies @ a @ b) @ b))))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl3175])).
% 10.18/2.05 thf(zip_derived_cl13, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 10.18/2.05 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 10.18/2.05 thf(zip_derived_cl3556, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i]:
% 10.18/2.05 ~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ (implies @ a @ b) @ b) @ X1) @
% 10.18/2.05 (implies @ b @ (implies @ X0 @ b))))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl3545, zip_derived_cl13])).
% 10.18/2.05 thf(zip_derived_cl3881, plain, (![X0 : $i]: ~ (is_a_theorem @ X0)),
% 10.18/2.05 inference('s_sup-', [status(thm)],
% 10.18/2.05 [zip_derived_cl711, zip_derived_cl3556])).
% 10.18/2.05 thf(zip_derived_cl4, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (~ (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 10.18/2.05 | (is_a_theorem @
% 10.18/2.05 (implies @ X3 @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 10.18/2.05 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 10.18/2.05 thf(zip_derived_cl1, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 10.18/2.05 (implies @ X4 @
% 10.18/2.05 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 10.18/2.05 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 10.18/2.05 thf(zip_derived_cl7, plain,
% 10.18/2.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.18/2.05 (is_a_theorem @
% 10.18/2.05 (implies @ X5 @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @
% 10.18/2.05 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 10.18/2.05 (implies @ X0 @ X4)) @
% 10.18/2.05 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 10.18/2.05 thf(zip_derived_cl3920, plain, ($false),
% 10.18/2.05 inference('s_sup+', [status(thm)], [zip_derived_cl3881, zip_derived_cl7])).
% 10.18/2.05
% 10.18/2.05 % SZS output end Refutation
% 10.18/2.05
% 10.18/2.05
% 10.18/2.05 % Terminating...
% 10.18/2.18 % Runner terminated.
% 10.18/2.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------