TSTP Solution File: LCL092-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL092-1 : 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.W9nYDuBPmf true
% Computer : n027.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 114.14s 17.04s
% Output : Refutation 114.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL092-1 : 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.W9nYDuBPmf true
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 19:25:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 114.14/17.04 % Solved by fo/fo13.sh.
% 114.14/17.04 % done 1891 iterations in 16.265s
% 114.14/17.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 114.14/17.04 % SZS output start Refutation
% 114.14/17.04 thf(b_type, type, b: $i).
% 114.14/17.04 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 114.14/17.04 thf(implies_type, type, implies: $i > $i > $i).
% 114.14/17.04 thf(a_type, type, a: $i).
% 114.14/17.04 thf(ic_JLukasiewicz_5, axiom,
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 ( implies @
% 114.14/17.04 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 114.14/17.04 ( implies @ ( implies @ S @ P ) @ ( implies @ T @ ( implies @ R @ P ) ) ) ))).
% 114.14/17.04 thf(zip_derived_cl1, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 114.14/17.04 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 114.14/17.04 thf(condensed_detachment, axiom,
% 114.14/17.04 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 114.14/17.04 ( is_a_theorem @ Y ))).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl4, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl4, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl7, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 ( (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 114.14/17.04 (implies @ X4 @ (implies @ X2 @ X3))))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X5) @ (implies @ X1 @ X3))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 114.14/17.04 thf(zip_derived_cl4, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl1, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 114.14/17.04 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 114.14/17.04 thf(zip_derived_cl6, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @
% 114.14/17.04 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 114.14/17.04 (implies @ X0 @ X4)) @
% 114.14/17.04 (implies @ X5 @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl19, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 114.14/17.04 (implies @ X1 @ X0)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ X3 @
% 114.14/17.04 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl6, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @
% 114.14/17.04 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 114.14/17.04 (implies @ X0 @ X4)) @
% 114.14/17.04 (implies @ X5 @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 114.14/17.04 thf(zip_derived_cl29, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X6 @
% 114.14/17.04 (implies @ (implies @ X5 @ X0) @
% 114.14/17.04 (implies @ X0 @
% 114.14/17.04 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl41, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ X4)
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X0 @
% 114.14/17.04 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl29, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X6 @
% 114.14/17.04 (implies @ (implies @ X5 @ X0) @
% 114.14/17.04 (implies @ X0 @
% 114.14/17.04 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 114.14/17.04 thf(zip_derived_cl50, plain,
% 114.14/17.04 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X8 @ X5) @
% 114.14/17.04 (implies @ X5 @
% 114.14/17.04 (implies @ (implies @ X7 @ X6) @ (implies @ X6 @ X5)))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl29])).
% 114.14/17.04 thf(zip_derived_cl4, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl89, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @
% 114.14/17.04 (implies @ (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)) @
% 114.14/17.04 X3) @
% 114.14/17.04 (implies @ X4 @ (implies @ X0 @ X3))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl4])).
% 114.14/17.04 thf(zip_derived_cl19, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 114.14/17.04 (implies @ X1 @ X0)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ X3 @
% 114.14/17.04 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl182, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X6 @
% 114.14/17.04 (implies @ (implies @ X5 @ X0) @
% 114.14/17.04 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl19])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl242, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ X4)
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl182, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl182, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X6 @
% 114.14/17.04 (implies @ (implies @ X5 @ X0) @
% 114.14/17.04 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl19])).
% 114.14/17.04 thf(zip_derived_cl298, plain,
% 114.14/17.04 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X8 @ X5) @
% 114.14/17.04 (implies @ X5 @ (implies @ X7 @ (implies @ X6 @ X5)))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl242, zip_derived_cl182])).
% 114.14/17.04 thf(zip_derived_cl4, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl353, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 114.14/17.04 (implies @ X4 @ (implies @ X0 @ X3))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl4])).
% 114.14/17.04 thf(zip_derived_cl1, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 114.14/17.04 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 114.14/17.04 thf(zip_derived_cl4, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl8, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ X3 @ X0))
% 114.14/17.04 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl13, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @
% 114.14/17.04 (implies @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0))) @
% 114.14/17.04 X6) @
% 114.14/17.04 (implies @ X5 @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ X7 @
% 114.14/17.04 (implies @ X5 @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 114.14/17.04 thf(zip_derived_cl483, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X4 @
% 114.14/17.04 (implies @ X2 @
% 114.14/17.04 (implies @ (implies @ X0 @ X1) @
% 114.14/17.04 (implies @ X3 @ (implies @ X1 @ X1))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl13])).
% 114.14/17.04 thf(zip_derived_cl7, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 ( (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 114.14/17.04 (implies @ X4 @ (implies @ X2 @ X3))))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X5) @ (implies @ X1 @ X3))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl72, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X5) @ (implies @ X4 @ X0)))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0))
% 114.14/17.04 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl109, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ X0))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X5) @ (implies @ X4 @ X0)))
% 114.14/17.04 | ~ (is_a_theorem @ X2)
% 114.14/17.04 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl136, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X0)))
% 114.14/17.04 | (is_a_theorem @ (implies @ X4 @ X0)))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl109])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl151, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X4 @ X3) @ (implies @ X2 @ X0)))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X4) @ X0))
% 114.14/17.04 | ~ (is_a_theorem @ X1)
% 114.14/17.04 | (is_a_theorem @ X0))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl9171, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 114.14/17.04 | (is_a_theorem @ X0))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl151])).
% 114.14/17.04 thf(zip_derived_cl353, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 114.14/17.04 (implies @ X4 @ (implies @ X0 @ X3))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl4])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl474, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X4 @ (implies @ X3 @ X1)) @ X0))
% 114.14/17.04 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl353, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 114.14/17.04 (implies @ X4 @ (implies @ X0 @ X3))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl4])).
% 114.14/17.04 thf(zip_derived_cl883, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X6 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X6 @
% 114.14/17.04 (implies @ X0 @
% 114.14/17.04 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl474, zip_derived_cl353])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl1017, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ X4)
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ X0 @
% 114.14/17.04 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl883, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl182, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i, X6 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X6 @
% 114.14/17.04 (implies @ (implies @ X5 @ X0) @
% 114.14/17.04 (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl19])).
% 114.14/17.04 thf(zip_derived_cl1168, plain,
% 114.14/17.04 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X5 @
% 114.14/17.04 (implies @ X8 @ (implies @ X7 @ (implies @ X6 @ X5)))))),
% 114.14/17.04 inference('s_sup+', [status(thm)],
% 114.14/17.04 [zip_derived_cl1017, zip_derived_cl182])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl1312, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1168, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl1411, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ X0)
% 114.14/17.04 | ~ (is_a_theorem @ X3)
% 114.14/17.04 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1312, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl1454, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 114.14/17.04 | ~ (is_a_theorem @ X0))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl1411])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl1455, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ X0)
% 114.14/17.04 | ~ (is_a_theorem @ X2)
% 114.14/17.04 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1454, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl1513, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl1455])).
% 114.14/17.04 thf(zip_derived_cl9178, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X3 : $i]:
% 114.14/17.04 ( (is_a_theorem @ X0)
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 114.14/17.04 inference('s_sup+', [status(thm)],
% 114.14/17.04 [zip_derived_cl9171, zip_derived_cl1513])).
% 114.14/17.04 thf(zip_derived_cl9334, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 ( (is_a_theorem @
% 114.14/17.04 (implies @ X3 @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X1 @ (implies @ X0 @ X0)))))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X4 @ X5) @
% 114.14/17.04 (implies @ X3 @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X1 @ (implies @ X0 @ X0)))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl483, zip_derived_cl9178])).
% 114.14/17.04 thf(zip_derived_cl483, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X4 @
% 114.14/17.04 (implies @ X2 @
% 114.14/17.04 (implies @ (implies @ X0 @ X1) @
% 114.14/17.04 (implies @ X3 @ (implies @ X1 @ X1))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl13])).
% 114.14/17.04 thf(zip_derived_cl9365, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X3 @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X1 @ (implies @ X0 @ X0)))))),
% 114.14/17.04 inference('demod', [status(thm)], [zip_derived_cl9334, zip_derived_cl483])).
% 114.14/17.04 thf(zip_derived_cl9178, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X3 : $i]:
% 114.14/17.04 ( (is_a_theorem @ X0)
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 114.14/17.04 inference('s_sup+', [status(thm)],
% 114.14/17.04 [zip_derived_cl9171, zip_derived_cl1513])).
% 114.14/17.04 thf(zip_derived_cl9973, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 ( (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X1 @ (implies @ X0 @ X0))))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X4) @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X1 @ (implies @ X0 @ X0))))))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl9365, zip_derived_cl9178])).
% 114.14/17.04 thf(zip_derived_cl9365, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ X3 @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X1 @ (implies @ X0 @ X0)))))),
% 114.14/17.04 inference('demod', [status(thm)], [zip_derived_cl9334, zip_derived_cl483])).
% 114.14/17.04 thf(zip_derived_cl10055, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X1 @ (implies @ X0 @ X0))))),
% 114.14/17.04 inference('demod', [status(thm)],
% 114.14/17.04 [zip_derived_cl9973, zip_derived_cl9365])).
% 114.14/17.04 thf(zip_derived_cl9171, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 114.14/17.04 | (is_a_theorem @ X0))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl151])).
% 114.14/17.04 thf(zip_derived_cl10127, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X0)))
% 114.14/17.04 | (is_a_theorem @ (implies @ X0 @ X0)))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl10055, zip_derived_cl9171])).
% 114.14/17.04 thf(zip_derived_cl353, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 114.14/17.04 (implies @ X4 @ (implies @ X0 @ X3))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl4])).
% 114.14/17.04 thf(zip_derived_cl11063, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ (implies @ X1 @ X0)))),
% 114.14/17.04 inference('s_sup+', [status(thm)],
% 114.14/17.04 [zip_derived_cl10127, zip_derived_cl353])).
% 114.14/17.04 thf(zip_derived_cl10127, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X0)))
% 114.14/17.04 | (is_a_theorem @ (implies @ X0 @ X0)))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl10055, zip_derived_cl9171])).
% 114.14/17.04 thf(zip_derived_cl11286, plain,
% 114.14/17.04 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl11063, zip_derived_cl10127])).
% 114.14/17.04 thf(zip_derived_cl19, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 114.14/17.04 (implies @ X1 @ X0)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ X3 @
% 114.14/17.04 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl31, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X5 @ (implies @ X4 @ X1)) @
% 114.14/17.04 (implies @ X1 @ X0)))
% 114.14/17.04 | ~ (is_a_theorem @ X3)
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X2 @ X1) @ (implies @ X1 @ X0))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl1601, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ (implies @ X2 @ X1)) @
% 114.14/17.04 (implies @ X1 @ X0)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X4 @ X1) @ (implies @ X1 @ X0))))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl31])).
% 114.14/17.04 thf(zip_derived_cl11367, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X0 @ (implies @ X1 @ X0))))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl11286, zip_derived_cl1601])).
% 114.14/17.04 thf(zip_derived_cl11286, plain,
% 114.14/17.04 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl11063, zip_derived_cl10127])).
% 114.14/17.04 thf(zip_derived_cl9171, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 114.14/17.04 | (is_a_theorem @ X0))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl151])).
% 114.14/17.04 thf(zip_derived_cl11355, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X1) @ X0))
% 114.14/17.04 | (is_a_theorem @ X0))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl11286, zip_derived_cl9171])).
% 114.14/17.04 thf(zip_derived_cl18821, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl11367, zip_derived_cl11355])).
% 114.14/17.04 thf(zip_derived_cl136, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X0)))
% 114.14/17.04 | (is_a_theorem @ (implies @ X4 @ X0)))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl109])).
% 114.14/17.04 thf(zip_derived_cl1, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X4 @ (implies @ X2 @ X0)))))),
% 114.14/17.04 inference('cnf', [status(esa)], [ic_JLukasiewicz_5])).
% 114.14/17.04 thf(zip_derived_cl144, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 114.14/17.04 ( (is_a_theorem @
% 114.14/17.04 (implies @ X5 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @ (implies @ X0 @ X4)) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl1])).
% 114.14/17.04 thf(zip_derived_cl136, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X0)))
% 114.14/17.04 | (is_a_theorem @ (implies @ X4 @ X0)))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl109])).
% 114.14/17.04 thf(prove_ic_3, conjecture,
% 114.14/17.04 (is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ))).
% 114.14/17.04 thf(zf_stmt_0, negated_conjecture,
% 114.14/17.04 (~( is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ) )),
% 114.14/17.04 inference('cnf.neg', [status(esa)], [prove_ic_3])).
% 114.14/17.04 thf(zip_derived_cl2, plain,
% 114.14/17.04 (~ (is_a_theorem @ (implies @ (implies @ (implies @ a @ b) @ a) @ a))),
% 114.14/17.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl3, plain,
% 114.14/17.04 (![X0 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ X0 @ (implies @ (implies @ (implies @ a @ b) @ a) @ a)))
% 114.14/17.04 | ~ (is_a_theorem @ X0))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl155, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X2) @
% 114.14/17.04 (implies @ X1 @ (implies @ (implies @ (implies @ a @ b) @ a) @ a))))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X1 @ X3) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a)))
% 114.14/17.04 | ~ (is_a_theorem @ X0))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl3])).
% 114.14/17.04 thf(zip_derived_cl218, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X2 @ X1) @
% 114.14/17.04 (implies @ X0 @ (implies @ (implies @ (implies @ a @ b) @ a) @ a))))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X2) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a))))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl155])).
% 114.14/17.04 thf(zip_derived_cl4, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X3)))
% 114.14/17.04 | (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X3 @ X0) @
% 114.14/17.04 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl224, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X0 @ X1) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a)))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ a @ X2) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ X1))))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl4])).
% 114.14/17.04 thf(zip_derived_cl287, plain,
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ a @ a) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a)))),
% 114.14/17.04 inference('eq_fact', [status(thm)], [zip_derived_cl224])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl289, plain,
% 114.14/17.04 (![X0 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ X0 @
% 114.14/17.04 (implies @ (implies @ a @ a) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a))))
% 114.14/17.04 | ~ (is_a_theorem @ X0))),
% 114.14/17.04 inference('s_sup+', [status(thm)], [zip_derived_cl287, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl7504, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X2 @ a) @ (implies @ a @ X1)) @
% 114.14/17.04 (implies @ (implies @ a @ a) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a))))
% 114.14/17.04 | ~ (is_a_theorem @ X0))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl289])).
% 114.14/17.04 thf(zip_derived_cl7651, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ X1 @ a) @ (implies @ a @ X0)) @
% 114.14/17.04 (implies @ (implies @ a @ a) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a))))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl7504])).
% 114.14/17.04 thf(zip_derived_cl1513, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl1455])).
% 114.14/17.04 thf(zip_derived_cl136, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X0)))
% 114.14/17.04 | (is_a_theorem @ (implies @ X4 @ X0)))),
% 114.14/17.04 inference('condensation', [status(thm)], [zip_derived_cl109])).
% 114.14/17.04 thf(zip_derived_cl1552, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 114.14/17.04 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 114.14/17.04 | (is_a_theorem @ (implies @ X4 @ X0)))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl1513, zip_derived_cl136])).
% 114.14/17.04 thf(zip_derived_cl7657, plain,
% 114.14/17.04 (![X2 : $i, X3 : $i]:
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ X2 @
% 114.14/17.04 (implies @ (implies @ a @ a) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a))))
% 114.14/17.04 | ~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X2 @ X3) @
% 114.14/17.04 (implies @ (implies @ a @ a) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a)))))),
% 114.14/17.04 inference('s_sup+', [status(thm)],
% 114.14/17.04 [zip_derived_cl7651, zip_derived_cl1552])).
% 114.14/17.04 thf(zip_derived_cl24958, plain,
% 114.14/17.04 (~ (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @
% 114.14/17.04 (implies @ (implies @ a @ a) @
% 114.14/17.04 (implies @ (implies @ (implies @ a @ b) @ a) @ a))))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl18821, zip_derived_cl7657])).
% 114.14/17.04 thf(zip_derived_cl25386, plain,
% 114.14/17.04 (![X0 : $i]:
% 114.14/17.04 ~ (is_a_theorem @ (implies @ (implies @ b @ X0) @ (implies @ a @ a)))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl24958])).
% 114.14/17.04 thf(zip_derived_cl11286, plain,
% 114.14/17.04 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl11063, zip_derived_cl10127])).
% 114.14/17.04 thf(zip_derived_cl10055, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (is_a_theorem @
% 114.14/17.04 (implies @ (implies @ X2 @ X0) @
% 114.14/17.04 (implies @ X1 @ (implies @ X0 @ X0))))),
% 114.14/17.04 inference('demod', [status(thm)],
% 114.14/17.04 [zip_derived_cl9973, zip_derived_cl9365])).
% 114.14/17.04 thf(zip_derived_cl0, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 114.14/17.04 | ~ (is_a_theorem @ X0)
% 114.14/17.04 | (is_a_theorem @ X1))),
% 114.14/17.04 inference('cnf', [status(esa)], [condensed_detachment])).
% 114.14/17.04 thf(zip_derived_cl10090, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 114.14/17.04 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 114.14/17.04 | (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0))))),
% 114.14/17.04 inference('s_sup-', [status(thm)], [zip_derived_cl10055, zip_derived_cl0])).
% 114.14/17.04 thf(zip_derived_cl11316, plain,
% 114.14/17.04 (![X0 : $i, X1 : $i]:
% 114.14/17.04 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 114.14/17.04 inference('s_sup-', [status(thm)],
% 114.14/17.04 [zip_derived_cl11286, zip_derived_cl10090])).
% 114.14/17.04 thf(zip_derived_cl25394, plain, ($false),
% 114.14/17.04 inference('demod', [status(thm)],
% 114.14/17.04 [zip_derived_cl25386, zip_derived_cl11316])).
% 114.14/17.04
% 114.14/17.04 % SZS output end Refutation
% 114.14/17.04
% 114.14/17.04
% 114.14/17.04 % Terminating...
% 114.14/17.10 % Runner terminated.
% 114.14/17.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------