TSTP Solution File: LCL095-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL095-1 : 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.zgoYIedN0M true
% Computer : n020.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 08:58:10 EDT 2023
% Result : Unsatisfiable 235.40s 34.33s
% Output : Refutation 235.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL095-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zgoYIedN0M true
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 17:14:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 235.40/34.33 % Solved by fo/fo1_av.sh.
% 235.40/34.33 % done 5066 iterations in 33.551s
% 235.40/34.33 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 235.40/34.33 % SZS output start Refutation
% 235.40/34.33 thf(b_type, type, b: $i).
% 235.40/34.33 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 235.40/34.33 thf(implies_type, type, implies: $i > $i > $i).
% 235.40/34.33 thf(a_type, type, a: $i).
% 235.40/34.33 thf(ic_JLukasiewicz_5, axiom,
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 ( implies @
% 235.40/34.33 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 235.40/34.33 ( implies @ ( implies @ S @ P ) @ ( implies @ T @ ( implies @ R @ P ) ) ) ))).
% 235.40/34.33 thf(zip_derived_cl1, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 235.40/34.33 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 235.40/34.33 thf(zip_derived_cl1, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 235.40/34.33 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 235.40/34.33 thf(zip_derived_cl1, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 235.40/34.33 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 235.40/34.33 thf(zip_derived_cl1, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 235.40/34.33 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 235.40/34.33 thf(condensed_detachment, axiom,
% 235.40/34.33 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 235.40/34.33 ( is_a_theorem @ Y ))).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl3, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl4, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 235.40/34.33 (implies @ X0 @ X4)) @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl4, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 235.40/34.33 (implies @ X0 @ X4)) @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl5, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 235.40/34.33 (implies @ X1 @ X0)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl7, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X6 @
% 235.40/34.33 (implies @ (implies @ X5 @ X0) @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl8, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X4)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl12, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl8])).
% 235.40/34.33 thf(zip_derived_cl11, plain,
% 235.40/34.33 ((![X4 : $i]: ~ (is_a_theorem @ X4))
% 235.40/34.33 <= ((![X4 : $i]: ~ (is_a_theorem @ X4)))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl8])).
% 235.40/34.33 thf(zip_derived_cl7, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X6 @
% 235.40/34.33 (implies @ (implies @ X5 @ X0) @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 235.40/34.33 thf('0', plain, (~ (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 235.40/34.33 thf('1', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl8])).
% 235.40/34.33 thf('2', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 235.40/34.33 thf(zip_derived_cl19, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl12, '2'])).
% 235.40/34.33 thf(zip_derived_cl3, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl21, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 235.40/34.33 X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X0 @ X3))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl26, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X1)) @ X0))
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl31, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl26])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl65, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X4)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl72, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl65])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl73, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 235.40/34.33 thf('3', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl65])).
% 235.40/34.33 thf('4', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '3'])).
% 235.40/34.33 thf(zip_derived_cl78, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl73, '4'])).
% 235.40/34.33 thf(zip_derived_cl21, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 235.40/34.33 X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X0 @ X3))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl26, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X1)) @ X0))
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl33, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl26])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl253, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X4)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl264, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl253])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl265, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl264, zip_derived_cl0])).
% 235.40/34.33 thf('5', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl253])).
% 235.40/34.33 thf('6', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X0 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '5'])).
% 235.40/34.33 thf(zip_derived_cl274, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl265, '6'])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl284, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X0)
% 235.40/34.33 | ~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl274, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl294, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 ( (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X2 @ X1) @ X0)))
% 235.40/34.33 | ~ (is_a_theorem @ X0))),
% 235.40/34.33 inference('condensation', [status(thm)], [zip_derived_cl284])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl295, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X0)
% 235.40/34.33 | ~ (is_a_theorem @ X1)
% 235.40/34.33 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl294, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl21, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 235.40/34.33 X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X0 @ X3))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl5, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 235.40/34.33 (implies @ X1 @ X0)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl29, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X6 @
% 235.40/34.33 (implies @ (implies @ X5 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl5])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl34, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X4)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl40, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl34])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl41, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X3 @ X0))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 235.40/34.33 thf('7', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0)))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl34])).
% 235.40/34.33 thf('8', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '7'])).
% 235.40/34.33 thf(zip_derived_cl45, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X3 @ X0))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl41, '8'])).
% 235.40/34.33 thf(zip_derived_cl305, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X1)
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X0 @ (implies @ X4 @ (implies @ X3 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl45])).
% 235.40/34.33 thf(zip_derived_cl328, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 ( (is_a_theorem @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 235.40/34.33 | ~ (is_a_theorem @ X0))),
% 235.40/34.33 inference('condensation', [status(thm)], [zip_derived_cl305])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl329, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X0)
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl339, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 235.40/34.33 | ~ (is_a_theorem @ X0))),
% 235.40/34.33 inference('simplify', [status(thm)], [zip_derived_cl329])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl342, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X0)
% 235.40/34.33 | ~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl339, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl353, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 235.40/34.33 inference('condensation', [status(thm)], [zip_derived_cl342])).
% 235.40/34.33 thf(zip_derived_cl3, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl361, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X1 @ X3)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl478, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X1 @ X3))
% 235.40/34.33 | ~ (is_a_theorem @ (implies @ X3 @ X0))
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl500, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | ~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X4))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X5 @ (implies @ (implies @ X3 @ X0) @ X4))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl478])).
% 235.40/34.33 thf(zip_derived_cl1131, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X5 : $i, X6 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X5)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X6 @
% 235.40/34.33 (implies @ (implies @ X5 @ X3) @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl500])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl55472, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X4)
% 235.40/34.33 | ~ (is_a_theorem @ X5)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X4 @ X3) @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1131, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl57451, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 ( (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X4 @ X3) @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))
% 235.40/34.33 | ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('condensation', [status(thm)], [zip_derived_cl55472])).
% 235.40/34.33 thf(zip_derived_cl78, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl73, '4'])).
% 235.40/34.33 thf(zip_derived_cl1, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 235.40/34.33 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 235.40/34.33 thf(zip_derived_cl21, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 235.40/34.33 X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X0 @ X3))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl3, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl28, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X1))) @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X1))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl114, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X5) @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl3713, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl114])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl8417, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl3713, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl8507, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0)))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl8417])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl8508, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0)))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl8507, zip_derived_cl0])).
% 235.40/34.33 thf('9', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0)))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl8417])).
% 235.40/34.33 thf('10', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '9'])).
% 235.40/34.33 thf(zip_derived_cl8597, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl8508, '10'])).
% 235.40/34.33 thf(zip_derived_cl8687, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl8597])).
% 235.40/34.33 thf('11', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl8597])).
% 235.40/34.33 thf('12', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '11'])).
% 235.40/34.33 thf(zip_derived_cl8841, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X1 @ X0) @
% 235.40/34.33 (implies @ X0 @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl8687, '12'])).
% 235.40/34.33 thf(zip_derived_cl361, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X1 @ X3)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl3, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl486, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X1 @ X3))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X2 @ X3)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl361, zip_derived_cl3])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl22658, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X4 @ X0))
% 235.40/34.33 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0))
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl486, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl22911, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0))))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl8841, zip_derived_cl22658])).
% 235.40/34.33 thf(zip_derived_cl24440, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X1)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl78, zip_derived_cl22911])).
% 235.40/34.33 thf(zip_derived_cl24471, plain,
% 235.40/34.33 ((![X0 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X0 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X0 @ X0)))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl24440])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl24473, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X0 @ X0)))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl24471, zip_derived_cl0])).
% 235.40/34.33 thf('13', plain,
% 235.40/34.33 ((![X0 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X0 @ X0)))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl24440])).
% 235.40/34.33 thf('14', plain,
% 235.40/34.33 ((![X0 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '13'])).
% 235.40/34.33 thf(zip_derived_cl24631, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl24473, '14'])).
% 235.40/34.33 thf(zip_derived_cl24896, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl24631])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl24897, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X1)
% 235.40/34.33 | (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl24896, zip_derived_cl0])).
% 235.40/34.33 thf('15', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl24631])).
% 235.40/34.33 thf('16', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X0 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '15'])).
% 235.40/34.33 thf(zip_derived_cl25054, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X1)
% 235.40/34.33 | (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl24897, '16'])).
% 235.40/34.33 thf(zip_derived_cl25213, plain,
% 235.40/34.33 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0))))
% 235.40/34.33 <= ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl25054])).
% 235.40/34.33 thf(zip_derived_cl114, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X5) @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl25358, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl25213, zip_derived_cl114])).
% 235.40/34.33 thf('17', plain,
% 235.40/34.33 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0)))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl25054])).
% 235.40/34.33 thf('18', plain,
% 235.40/34.33 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '17'])).
% 235.40/34.33 thf(zip_derived_cl25504, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl25358, '18'])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl30809, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X1 @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl25504, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl30965, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl30809])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl30966, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X1)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl30965, zip_derived_cl0])).
% 235.40/34.33 thf('19', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl30809])).
% 235.40/34.33 thf('20', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '19'])).
% 235.40/34.33 thf(zip_derived_cl31119, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X1)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl30966, '20'])).
% 235.40/34.33 thf(zip_derived_cl31275, plain,
% 235.40/34.33 ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0))))
% 235.40/34.33 <= ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl31119])).
% 235.40/34.33 thf(zip_derived_cl22658, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X4 @ X0))
% 235.40/34.33 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0))
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl486, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl31353, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ (implies @ X0 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl31275, zip_derived_cl22658])).
% 235.40/34.33 thf(zip_derived_cl25213, plain,
% 235.40/34.33 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0))))
% 235.40/34.33 <= ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl25054])).
% 235.40/34.33 thf('21', plain,
% 235.40/34.33 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '17'])).
% 235.40/34.33 thf(zip_derived_cl25510, plain,
% 235.40/34.33 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X0)))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl25213, '21'])).
% 235.40/34.33 thf(zip_derived_cl31461, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ (implies @ X0 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('demod', [status(thm)],
% 235.40/34.33 [zip_derived_cl31353, zip_derived_cl25510])).
% 235.40/34.33 thf('22', plain,
% 235.40/34.33 ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0)))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl31119])).
% 235.40/34.33 thf('23', plain,
% 235.40/34.33 ((![X0 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X0) @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '22'])).
% 235.40/34.33 thf(zip_derived_cl31462, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl31461, '23'])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl31496, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl31462, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl31652, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl31496])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl31653, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl31652, zip_derived_cl0])).
% 235.40/34.33 thf('24', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl31496])).
% 235.40/34.33 thf('25', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '24'])).
% 235.40/34.33 thf(zip_derived_cl31806, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl31653, '25'])).
% 235.40/34.33 thf(zip_derived_cl31962, plain,
% 235.40/34.33 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0)))
% 235.40/34.33 <= ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl31806])).
% 235.40/34.33 thf(zip_derived_cl45, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X3 @ X0))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl41, '8'])).
% 235.40/34.33 thf(zip_derived_cl31965, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl31962, zip_derived_cl45])).
% 235.40/34.33 thf('26', plain,
% 235.40/34.33 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl31806])).
% 235.40/34.33 thf('27', plain, ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0)))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '26'])).
% 235.40/34.33 thf(zip_derived_cl32111, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl31965, '27'])).
% 235.40/34.33 thf(zip_derived_cl31962, plain,
% 235.40/34.33 ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0)))
% 235.40/34.33 <= ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl31806])).
% 235.40/34.33 thf(zip_derived_cl22658, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X4 @ X0))
% 235.40/34.33 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0))
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl486, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl32062, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl31962, zip_derived_cl22658])).
% 235.40/34.33 thf('28', plain, ((![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0)))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '26'])).
% 235.40/34.33 thf(zip_derived_cl32208, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl32062, '28'])).
% 235.40/34.33 thf(zip_derived_cl33829, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl32111, zip_derived_cl32208])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl36514, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl33829, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl36667, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl36514])).
% 235.40/34.33 thf(zip_derived_cl3, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl36805, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X0 @ X3)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl36667, zip_derived_cl3])).
% 235.40/34.33 thf('29', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl36514])).
% 235.40/34.33 thf('30', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '29'])).
% 235.40/34.33 thf(zip_derived_cl36957, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 235.40/34.33 (implies @ X4 @ (implies @ X0 @ X3))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl36805, '30'])).
% 235.40/34.33 thf(zip_derived_cl22658, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X4 @ X0))
% 235.40/34.33 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0))
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl486, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl53990, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X3 @ X1) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X4 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl36957, zip_derived_cl22658])).
% 235.40/34.33 thf(zip_derived_cl70653, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl57451, zip_derived_cl53990])).
% 235.40/34.33 thf(zip_derived_cl70898, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl70653])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl70900, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X4)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl70898, zip_derived_cl0])).
% 235.40/34.33 thf('31', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl70653])).
% 235.40/34.33 thf('32', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X5 @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '31'])).
% 235.40/34.33 thf(zip_derived_cl71131, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X4)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl70900, '32'])).
% 235.40/34.33 thf(zip_derived_cl71366, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl71131])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl71368, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl71366, zip_derived_cl0])).
% 235.40/34.33 thf('33', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl71131])).
% 235.40/34.33 thf('34', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '33'])).
% 235.40/34.33 thf(zip_derived_cl71599, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl71368, '34'])).
% 235.40/34.33 thf(zip_derived_cl71834, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl71599])).
% 235.40/34.33 thf(zip_derived_cl36667, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl36514])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl36668, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl36667, zip_derived_cl0])).
% 235.40/34.33 thf('35', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '29'])).
% 235.40/34.33 thf(zip_derived_cl36818, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl36668, '35'])).
% 235.40/34.33 thf(zip_derived_cl36971, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl36818])).
% 235.40/34.33 thf(zip_derived_cl22658, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X4 @ X0))
% 235.40/34.33 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0))
% 235.40/34.33 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl486, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl37071, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl36971, zip_derived_cl22658])).
% 235.40/34.33 thf('36', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl36818])).
% 235.40/34.33 thf('37', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '36'])).
% 235.40/34.33 thf(zip_derived_cl37213, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 235.40/34.33 (~ (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X4 @
% 235.40/34.33 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl37071, '37'])).
% 235.40/34.33 thf(zip_derived_cl71853, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0))))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)],
% 235.40/34.33 [zip_derived_cl71834, zip_derived_cl37213])).
% 235.40/34.33 thf('38', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl71599])).
% 235.40/34.33 thf('39', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ (implies @ X2 @ X0) @
% 235.40/34.33 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '38'])).
% 235.40/34.33 thf(zip_derived_cl72060, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X3 @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl71853, '39'])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl74230, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X3)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl72060, zip_derived_cl0])).
% 235.40/34.33 thf(zip_derived_cl74470, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0))))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl74230])).
% 235.40/34.33 thf(zip_derived_cl0, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 235.40/34.33 | ~ (is_a_theorem @ X0)
% 235.40/34.33 | (is_a_theorem @ X1))),
% 235.40/34.33 inference('cnf', [status(esa)], [condensed_detachment])).
% 235.40/34.33 thf(zip_derived_cl74471, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0))))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl74470, zip_derived_cl0])).
% 235.40/34.33 thf('40', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0))))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl74230])).
% 235.40/34.33 thf('41', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X2 @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '40'])).
% 235.40/34.33 thf(zip_derived_cl74702, plain,
% 235.40/34.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 235.40/34.33 (~ (is_a_theorem @ X2)
% 235.40/34.33 | (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0))))),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl74471, '41'])).
% 235.40/34.33 thf(zip_derived_cl75181, plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0))))
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl74702])).
% 235.40/34.33 thf(prove_ic_5, conjecture,
% 235.40/34.33 (is_a_theorem @ ( implies @ a @ ( implies @ ( implies @ a @ b ) @ b ) ))).
% 235.40/34.33 thf(zf_stmt_0, negated_conjecture,
% 235.40/34.33 (~( is_a_theorem @ ( implies @ a @ ( implies @ ( implies @ a @ b ) @ b ) ) )),
% 235.40/34.33 inference('cnf.neg', [status(esa)], [prove_ic_5])).
% 235.40/34.33 thf(zip_derived_cl2, plain,
% 235.40/34.33 (~ (is_a_theorem @ (implies @ a @ (implies @ (implies @ a @ b) @ b)))),
% 235.40/34.33 inference('cnf', [status(esa)], [zf_stmt_0])).
% 235.40/34.33 thf(zip_derived_cl75387, plain,
% 235.40/34.33 (($false)
% 235.40/34.33 <= ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))))),
% 235.40/34.33 inference('s_sup-', [status(thm)], [zip_derived_cl75181, zip_derived_cl2])).
% 235.40/34.33 thf('42', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))) |
% 235.40/34.33 (![X4 : $i]: ~ (is_a_theorem @ X4))),
% 235.40/34.33 inference('split', [status(esa)], [zip_derived_cl74702])).
% 235.40/34.33 thf('43', plain,
% 235.40/34.33 ((![X0 : $i, X1 : $i]:
% 235.40/34.33 (is_a_theorem @
% 235.40/34.33 (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0))))),
% 235.40/34.33 inference('sat_resolution*', [status(thm)], ['0', '42'])).
% 235.40/34.33 thf(zip_derived_cl75593, plain, ($false),
% 235.40/34.33 inference('simpl_trail', [status(thm)], [zip_derived_cl75387, '43'])).
% 235.40/34.33
% 235.40/34.33 % SZS output end Refutation
% 235.40/34.33
% 235.40/34.33
% 235.40/34.33 % Terminating...
% 235.40/34.43 % Runner terminated.
% 235.40/34.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------