TSTP Solution File: LCL004-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MGO0eqZhVf true
% Computer : n003.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 08:57:48 EDT 2023
% Result : Unsatisfiable 15.30s 2.77s
% Output : Refutation 15.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MGO0eqZhVf true
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 22:13:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 15.30/2.77 % Solved by fo/fo5.sh.
% 15.30/2.77 % done 668 iterations in 1.974s
% 15.30/2.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.30/2.77 % SZS output start Refutation
% 15.30/2.77 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 15.30/2.77 thf(or_type, type, or: $i > $i > $i).
% 15.30/2.77 thf(not_type, type, not: $i > $i).
% 15.30/2.77 thf(b_type, type, b: $i).
% 15.30/2.77 thf(a_type, type, a: $i).
% 15.30/2.77 thf(an_CAMerideth, axiom,
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 ( or @
% 15.30/2.77 ( not @
% 15.30/2.77 ( or @
% 15.30/2.77 ( not @ ( or @ ( not @ X ) @ Y ) ) @ ( or @ Z @ ( or @ U @ V ) ) ) ) @
% 15.30/2.77 ( or @ ( not @ ( or @ ( not @ U ) @ X ) ) @ ( or @ Z @ ( or @ V @ X ) ) ) ))).
% 15.30/2.77 thf(zip_derived_cl1, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @
% 15.30/2.77 (not @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 15.30/2.77 inference('cnf', [status(esa)], [an_CAMerideth])).
% 15.30/2.77 thf(zip_derived_cl1, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @
% 15.30/2.77 (not @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 15.30/2.77 inference('cnf', [status(esa)], [an_CAMerideth])).
% 15.30/2.77 thf(zip_derived_cl1, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @
% 15.30/2.77 (not @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 15.30/2.77 inference('cnf', [status(esa)], [an_CAMerideth])).
% 15.30/2.77 thf(condensed_detachment, axiom,
% 15.30/2.77 (( ~( is_a_theorem @ ( or @ ( not @ X ) @ Y ) ) ) |
% 15.30/2.77 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl4, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ (or @ (not @ X0) @ X4))) @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @
% 15.30/2.77 (or @ (or @ X1 @ X0) @ (or @ (not @ X0) @ X4)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl7, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ (or @ X2 @ X1)) @ X4)) @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X1)) @
% 15.30/2.77 (or @ (or @ (not @ X1) @ X0) @ X4))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl11, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @
% 15.30/2.77 (not @ (or @ (not @ (or @ (not @ X2) @ X1)) @ (or @ X4 @ X2))) @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X2)) @ (or @ X0 @ (or @ X4 @ X2)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl13, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X1 @ X0))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl23, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @
% 15.30/2.77 (not @ (or @ (not @ X4) @ (or @ (not @ X0) @ (or @ X1 @ X0)))) @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0))))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl49, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ (not @ (or @ (not @ X2) @ X0))) @ X4)) @
% 15.30/2.77 (or @ X3 @ (or @ (or @ (not @ X0) @ (or @ X1 @ X0)) @ X4))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl23, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @
% 15.30/2.77 (not @ (or @ (not @ X4) @ (or @ (not @ X0) @ (or @ X1 @ X0)))) @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0))))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl46, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ X4) @ (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl64, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X5 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X4) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ (or @ (not @ X1) @ (or @ X2 @ X1)) @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl65, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ (or @ (not @ X1) @ (or @ X2 @ X1)) @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ X4))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl64, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X5 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X4) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ (or @ (not @ X1) @ (or @ X2 @ X1)) @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl83, plain,
% 15.30/2.77 (![X5 : $i, X6 : $i, X7 : $i, X8 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X8) @ X5)) @
% 15.30/2.77 (or @ (not @ X5) @ (or @ (or @ (not @ X6) @ (or @ X7 @ X6)) @ X5))))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl64])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl123, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @
% 15.30/2.77 (not @ (or @ (not @ (or @ (not @ X1) @ (or @ X2 @ X1))) @ X3)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X0 @ X3))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl46, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ X4) @ (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl136, plain,
% 15.30/2.77 (![X0 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X4 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X0 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl137, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X0 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ X2))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl64, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X5 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X4) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ (or @ (not @ X1) @ (or @ X2 @ X1)) @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl201, plain,
% 15.30/2.77 (![X5 : $i, X6 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X6) @ X5)) @
% 15.30/2.77 (or @ (not @ X5) @ (or @ X5 @ X5))))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl64])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl259, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X1)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X0 @ X1))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl271, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X1)) @
% 15.30/2.77 (or @ (not @ X1) @ (or @ X0 @ X1))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl46, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ X4) @ (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl302, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl336, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ X3))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl302, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl376, plain,
% 15.30/2.77 (![X4 : $i, X5 : $i, X6 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X6) @ X4)) @
% 15.30/2.77 (or @ (not @ X4) @ (or @ X5 @ X4))))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl336, zip_derived_cl302])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl449, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X2)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X0 @ X2))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl376, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl449, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X2)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X0 @ X2))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl376, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl449, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X2)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X0 @ X2))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl376, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl460, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X2)) @
% 15.30/2.77 (or @ (not @ X1) @ (or @ X0 @ X2))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl530, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ (not @ X2) @ (or @ X1 @ X0)))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X2) @ X0)))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl460, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl567, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ X3 @ (or @ (not @ X1) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl530])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl656, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ (not @ X1)) @ X3)) @
% 15.30/2.77 (or @ X2 @ (or @ (or @ X1 @ X0) @ X3))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl567, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl826, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ (or @ X2 @ X1)) @ (not @ X2))) @
% 15.30/2.77 (or @ X3 @ (or @ X0 @ (not @ X2)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl656, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl376, plain,
% 15.30/2.77 (![X4 : $i, X5 : $i, X6 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X6) @ X4)) @
% 15.30/2.77 (or @ (not @ X4) @ (or @ X5 @ X4))))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl336, zip_derived_cl302])).
% 15.30/2.77 thf(zip_derived_cl13, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X1 @ X0))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl451, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ (or @ X1 @ X0))) @
% 15.30/2.77 (or @ X2 @ (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl376, zip_derived_cl13])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl2310, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ X2 @ (or @ (not @ X0) @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X3) @ (or @ X1 @ X0))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl451, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl2399, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X4 @
% 15.30/2.77 (or @ (not @ (or @ X1 @ (not @ X0))) @
% 15.30/2.77 (or @ X2 @ (or @ X1 @ (not @ X0))))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl826, zip_derived_cl2310])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl3460, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ X1 @ (not @ X0))) @
% 15.30/2.77 (or @ X2 @ (or @ X1 @ (not @ X0)))))
% 15.30/2.77 | ~ (is_a_theorem @ X3))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl2399, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl302, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl3506, plain,
% 15.30/2.77 (![X4 : $i, X5 : $i, X6 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ X5 @ (not @ X4))) @
% 15.30/2.77 (or @ X6 @ (or @ X5 @ (not @ X4)))))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl3460, zip_derived_cl302])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl3727, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ (not @ X1)) @ X1)) @
% 15.30/2.77 (or @ X2 @ (or @ (not @ X0) @ X1))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl3506, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl2310, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ X2 @ (or @ (not @ X0) @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X3) @ (or @ X1 @ X0))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl451, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl3750, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X0)) @
% 15.30/2.77 (or @ X2 @ (or @ (not @ X1) @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl3727, zip_derived_cl2310])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl4074, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X0)) @
% 15.30/2.77 (or @ X2 @ (or @ (not @ X1) @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ X3))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl3750, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl302, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl4444, plain,
% 15.30/2.77 (![X4 : $i, X5 : $i, X6 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X5) @ X4)) @
% 15.30/2.77 (or @ X6 @ (or @ (not @ X5) @ X4))))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl4074, zip_derived_cl302])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl4808, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ (not @ X1)) @ X1)) @
% 15.30/2.77 (or @ X2 @ (or @ X0 @ X1))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl4444, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl2310, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ X2 @ (or @ (not @ X0) @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X3) @ (or @ X1 @ X0))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl451, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl4833, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ X1 @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl4808, zip_derived_cl2310])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl4965, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ X1 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ X3))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl4833, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl302, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl5045, plain,
% 15.30/2.77 (![X4 : $i, X5 : $i, X6 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ X5 @ X4)) @ (or @ X6 @ (or @ X5 @ X4))))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl4965, zip_derived_cl302])).
% 15.30/2.77 thf(zip_derived_cl530, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ (not @ X2) @ (or @ X1 @ X0)))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X2) @ X0)))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl460, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl5331, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ X1 @ X0)) @
% 15.30/2.77 (or @ X3 @ (or @ X2 @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl5045, zip_derived_cl530])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl5448, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X1)) @
% 15.30/2.77 (or @ X3 @ (or @ (or @ (not @ X1) @ X0) @ X1))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl5331, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl3, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 15.30/2.77 ( (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 15.30/2.77 (or @ X2 @ (or @ X3 @ X1)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl5853, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ (or @ (not @ X0) @ X1)) @ X3)) @
% 15.30/2.77 (or @ X2 @ (or @ X0 @ X3))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl5448, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl5987, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ (or @ (not @ X1) @ X3)) @ X0)))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl5853, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl6046, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @ (or @ X2 @ (or @ (not @ X1) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl5987])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl6073, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ X2 @ (or @ (not @ X1) @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ X3))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl6046, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl302, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X3 @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl46])).
% 15.30/2.77 thf(zip_derived_cl6131, plain,
% 15.30/2.77 (![X4 : $i, X5 : $i, X6 : $i]:
% 15.30/2.77 (is_a_theorem @ (or @ X6 @ (or @ (not @ X5) @ (or @ X5 @ X4))))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl6073, zip_derived_cl302])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl6285, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ (not @ X1) @ (or @ X1 @ X0)))
% 15.30/2.77 | ~ (is_a_theorem @ X2))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl6131, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl4808, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ (not @ X1)) @ X1)) @
% 15.30/2.77 (or @ X2 @ (or @ X0 @ X1))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl4444, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl449, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X2)) @
% 15.30/2.77 (or @ (not @ X0) @ (or @ X0 @ X2))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl376, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl453, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ (not @ X1) @ (or @ X1 @ X0)))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X2) @ X0)))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl4824, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ X3) @ (or @ X3 @ (or @ X2 @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl4808, zip_derived_cl453])).
% 15.30/2.77 thf(zip_derived_cl460, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X1) @ X2)) @
% 15.30/2.77 (or @ (not @ X1) @ (or @ X0 @ X2))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl3])).
% 15.30/2.77 thf(zip_derived_cl530, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ (not @ X2) @ (or @ X1 @ X0)))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X2) @ X0)))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl460, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl569, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 15.30/2.77 (or @ X3 @ (or @ (not @ X2) @ (or @ X1 @ X0)))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl460, zip_derived_cl530])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl776, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ X3 @ (or @ (not @ X2) @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X2) @ X0)))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl569, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl4850, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 15.30/2.77 (is_a_theorem @
% 15.30/2.77 (or @ X5 @
% 15.30/2.77 (or @ (not @ X3) @
% 15.30/2.77 (or @ X4 @ (or @ X3 @ (or @ X2 @ (or @ X1 @ X0)))))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl4824, zip_derived_cl776])).
% 15.30/2.77 thf(zip_derived_cl6444, plain,
% 15.30/2.77 (![X6 : $i, X7 : $i]:
% 15.30/2.77 (is_a_theorem @ (or @ (not @ X7) @ (or @ X7 @ X6)))),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl6285, zip_derived_cl4850])).
% 15.30/2.77 thf(zip_derived_cl2310, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ X2 @ (or @ (not @ X0) @ (or @ X1 @ X0))))
% 15.30/2.77 | ~ (is_a_theorem @ (or @ (not @ X3) @ (or @ X1 @ X0))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl451, zip_derived_cl0])).
% 15.30/2.77 thf(zip_derived_cl6646, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @ (or @ X2 @ (or @ (not @ X0) @ (or @ X1 @ X0))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl6444, zip_derived_cl2310])).
% 15.30/2.77 thf(zip_derived_cl0, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i]:
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 15.30/2.77 | ~ (is_a_theorem @ X0)
% 15.30/2.77 | (is_a_theorem @ X1))),
% 15.30/2.77 inference('cnf', [status(esa)], [condensed_detachment])).
% 15.30/2.77 thf(zip_derived_cl6698, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 ( (is_a_theorem @ (or @ (not @ X0) @ (or @ X1 @ X0)))
% 15.30/2.77 | ~ (is_a_theorem @ X2))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl6646, zip_derived_cl0])).
% 15.30/2.77 thf(an_3, conjecture, (is_a_theorem @ ( or @ ( not @ a ) @ ( or @ b @ a ) ))).
% 15.30/2.77 thf(zf_stmt_0, negated_conjecture,
% 15.30/2.77 (~( is_a_theorem @ ( or @ ( not @ a ) @ ( or @ b @ a ) ) )),
% 15.30/2.77 inference('cnf.neg', [status(esa)], [an_3])).
% 15.30/2.77 thf(zip_derived_cl2, plain,
% 15.30/2.77 (~ (is_a_theorem @ (or @ (not @ a) @ (or @ b @ a)))),
% 15.30/2.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.30/2.77 thf(zip_derived_cl6748, plain, (![X0 : $i]: ~ (is_a_theorem @ X0)),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl6698, zip_derived_cl2])).
% 15.30/2.77 thf(zip_derived_cl6646, plain,
% 15.30/2.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.30/2.77 (is_a_theorem @ (or @ X2 @ (or @ (not @ X0) @ (or @ X1 @ X0))))),
% 15.30/2.77 inference('sup-', [status(thm)], [zip_derived_cl6444, zip_derived_cl2310])).
% 15.30/2.77 thf(zip_derived_cl6895, plain, ($false),
% 15.30/2.77 inference('sup+', [status(thm)], [zip_derived_cl6748, zip_derived_cl6646])).
% 15.30/2.77
% 15.30/2.77 % SZS output end Refutation
% 15.30/2.77
% 15.30/2.77
% 15.30/2.78 % Terminating...
% 15.30/2.84 % Runner terminated.
% 15.30/2.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------