%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KJlGsuY2vb true
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:01 PM UTC 2026
% Result : Unsatisfiable 67.61s 10.35s
% Output : Refutation 67.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KJlGsuY2vb true
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 13:24:20 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Running portfolio for 300 s
% 0.07/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Number of cores: 8
% 0.07/0.36 % Python version: Python 3.12.3
% 0.12/0.36 % Running in FO mode
% 0.44/0.65 % Total configuration time : 435
% 0.44/0.65 % Estimated wc time : 1092
% 0.44/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.45/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 67.61/10.35 % Solved by fo/fo13.sh.
% 67.61/10.35 % done 1422 iterations in 9.518s
% 67.61/10.35 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 67.61/10.35 % SZS output start Refutation
% 67.61/10.35 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 67.61/10.35 thf(or_type, type, or: $i > $i > $i).
% 67.61/10.35 thf(not_type, type, not: $i > $i).
% 67.61/10.35 thf(a_type, type, a: $i).
% 67.61/10.35 thf(an_CAMeredith, axiom,
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 ( or @
% 67.61/10.35 ( not @
% 67.61/10.35 ( or @
% 67.61/10.35 ( not @ ( or @ ( not @ X ) @ Y ) ) @ ( or @ Z @ ( or @ U @ V ) ) ) ) @
% 67.61/10.35 ( or @ ( not @ ( or @ ( not @ U ) @ X ) ) @ ( or @ Z @ ( or @ V @ X ) ) ) ))).
% 67.61/10.35 thf(zip_derived_cl1, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @
% 67.61/10.35 (not @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 67.61/10.35 inference('cnf', [status(esa)], [an_CAMeredith])).
% 67.61/10.35 thf(condensed_detachment, axiom,
% 67.61/10.35 (( ~( is_a_theorem @ ( or @ ( not @ X ) @ Y ) ) ) |
% 67.61/10.35 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 67.61/10.35 thf(zip_derived_cl0, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | ~ (is_a_theorem @ X0)
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 67.61/10.35 thf(zip_derived_cl4, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 67.61/10.35 | (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl0, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | ~ (is_a_theorem @ X0)
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 67.61/10.35 thf(zip_derived_cl8, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X3) @ X0))
% 67.61/10.35 | (is_a_theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl4, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 67.61/10.35 | (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl16, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 ( (is_a_theorem @ (or @ X2 @ (or @ X0 @ X3)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X1) @ X3))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 67.61/10.35 (or @ X2 @ (or @ X3 @ X1)))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 67.61/10.35 thf(zip_derived_cl4, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 67.61/10.35 | (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl21, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | (is_a_theorem @ (or @ X2 @ (or @ X3 @ X1)))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 67.61/10.35 (or @ X2 @ (or @ X3 @ X1)))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl4])).
% 67.61/10.35 thf(zip_derived_cl1, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @
% 67.61/10.35 (not @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 67.61/10.35 inference('cnf', [status(esa)], [an_CAMeredith])).
% 67.61/10.35 thf(zip_derived_cl38, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 ( (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 67.61/10.35 thf(zip_derived_cl16, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 ( (is_a_theorem @ (or @ X2 @ (or @ X0 @ X3)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X1) @ X3))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 67.61/10.35 (or @ X2 @ (or @ X3 @ X1)))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 67.61/10.35 thf(zip_derived_cl84, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X1 @ X0)))
% 67.61/10.35 | (is_a_theorem @ (or @ X2 @ (or @ X3 @ X1)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X0) @ X1)))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl16])).
% 67.61/10.35 thf(zip_derived_cl0, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | ~ (is_a_theorem @ X0)
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 67.61/10.35 thf(zip_derived_cl107, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X3) @ X0))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X4)) @ (or @ X0 @ X3)))
% 67.61/10.35 | ~ (is_a_theorem @ X2)
% 67.61/10.35 | (is_a_theorem @ (or @ X1 @ X0)))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl160, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X1) @ X0))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X1) @ X2)) @ (or @ X0 @ X1)))
% 67.61/10.35 | (is_a_theorem @ (or @ X3 @ X0)))),
% 67.61/10.35 inference('condensation', [status(thm)], [zip_derived_cl107])).
% 67.61/10.35 thf(zip_derived_cl0, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | ~ (is_a_theorem @ X0)
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 67.61/10.35 thf(zip_derived_cl170, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X2) @ X3)) @ (or @ X0 @ X2)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X2) @ X0))
% 67.61/10.35 | ~ (is_a_theorem @ X1)
% 67.61/10.35 | (is_a_theorem @ X0))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl294, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X2)) @ (or @ X1 @ X0)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('condensation', [status(thm)], [zip_derived_cl170])).
% 67.61/10.35 thf(zip_derived_cl38, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 ( (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 67.61/10.35 thf(zip_derived_cl300, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.61/10.35 ( (is_a_theorem @ X2)
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X3)) @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl38])).
% 67.61/10.35 thf(zip_derived_cl1, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @
% 67.61/10.35 (not @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 67.61/10.35 inference('cnf', [status(esa)], [an_CAMeredith])).
% 67.61/10.35 thf(zip_derived_cl855, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @
% 67.61/10.35 (not @
% 67.61/10.35 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 67.61/10.35 (or @ (not @ X0) @ (or @ X1 @ X0)))) @
% 67.61/10.35 X3))
% 67.61/10.35 | (is_a_theorem @ X3))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl300, zip_derived_cl1])).
% 67.61/10.35 thf(zip_derived_cl1, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @
% 67.61/10.35 (not @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 67.61/10.35 inference('cnf', [status(esa)], [an_CAMeredith])).
% 67.61/10.35 thf(zip_derived_cl1087, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 67.61/10.35 (or @ (not @ X1) @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl1])).
% 67.61/10.35 thf(zip_derived_cl4, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 67.61/10.35 | (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl4, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 67.61/10.35 | (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl7, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 ( (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X1) @ X3)) @ (or @ X2 @ (or @ X0 @ X3))))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 67.61/10.35 (or @ X2 @ (or @ X3 @ X1)))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 67.61/10.35 thf(zip_derived_cl1252, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X1)) @
% 67.61/10.35 (or @ (not @ X1) @ (or @ X2 @ X1))))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl1087, zip_derived_cl7])).
% 67.61/10.35 thf(zip_derived_cl1087, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 67.61/10.35 (or @ (not @ X1) @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl1])).
% 67.61/10.35 thf(zip_derived_cl300, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.61/10.35 ( (is_a_theorem @ X2)
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X3)) @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl38])).
% 67.61/10.35 thf(zip_derived_cl1264, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 ( (is_a_theorem @ X2)
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X1) @ (or @ X1 @ X0))) @ X2)))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl1087, zip_derived_cl300])).
% 67.61/10.35 thf(zip_derived_cl6533, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ X1 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl1252, zip_derived_cl1264])).
% 67.61/10.35 thf(zip_derived_cl1264, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 ( (is_a_theorem @ X2)
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X1) @ (or @ X1 @ X0))) @ X2)))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl1087, zip_derived_cl300])).
% 67.61/10.35 thf(zip_derived_cl7922, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @ (or @ X2 @ (or @ (not @ X1) @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl6533, zip_derived_cl1264])).
% 67.61/10.35 thf(zip_derived_cl855, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @
% 67.61/10.35 (not @
% 67.61/10.35 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 67.61/10.35 (or @ (not @ X0) @ (or @ X1 @ X0)))) @
% 67.61/10.35 X3))
% 67.61/10.35 | (is_a_theorem @ X3))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl300, zip_derived_cl1])).
% 67.61/10.35 thf(zip_derived_cl8335, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (is_a_theorem @ (or @ (not @ X1) @ (or @ X1 @ X0)))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl7922, zip_derived_cl855])).
% 67.61/10.35 thf(zip_derived_cl294, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X2)) @ (or @ X1 @ X0)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('condensation', [status(thm)], [zip_derived_cl170])).
% 67.61/10.35 thf(zip_derived_cl8696, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ (or @ (not @ X0) @ X1)))
% 67.61/10.35 | (is_a_theorem @ (or @ (not @ X0) @ X1)))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl8335, zip_derived_cl294])).
% 67.61/10.35 thf(zip_derived_cl6533, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ X1 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl1252, zip_derived_cl1264])).
% 67.61/10.35 thf(zip_derived_cl11995, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ (or @ X1 @ X0)))),
% 67.61/10.35 inference('s_sup+', [status(thm)],
% 67.61/10.35 [zip_derived_cl8696, zip_derived_cl6533])).
% 67.61/10.35 thf(zip_derived_cl6533, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ X1 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl1252, zip_derived_cl1264])).
% 67.61/10.35 thf(zip_derived_cl21, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | (is_a_theorem @ (or @ X2 @ (or @ X3 @ X1)))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 67.61/10.35 (or @ X2 @ (or @ X3 @ X1)))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl4])).
% 67.61/10.35 thf(zip_derived_cl7928, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X1) @ X0))
% 67.61/10.35 | (is_a_theorem @ (or @ X2 @ (or @ (not @ X1) @ X0))))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl6533, zip_derived_cl21])).
% 67.61/10.35 thf(zip_derived_cl7, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 ( (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X1) @ X3)) @ (or @ X2 @ (or @ X0 @ X3))))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 67.61/10.35 (or @ X2 @ (or @ X3 @ X1)))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 67.61/10.35 thf(zip_derived_cl1264, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 ( (is_a_theorem @ X2)
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X1) @ (or @ X1 @ X0))) @ X2)))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl1087, zip_derived_cl300])).
% 67.61/10.35 thf(zip_derived_cl1087, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 67.61/10.35 (or @ (not @ X1) @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl855, zip_derived_cl1])).
% 67.61/10.35 thf(zip_derived_cl1708, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (is_a_theorem @ (or @ (not @ X2) @ (or @ X2 @ (or @ X1 @ X0))))),
% 67.61/10.35 inference('s_sup+', [status(thm)],
% 67.61/10.35 [zip_derived_cl1264, zip_derived_cl1087])).
% 67.61/10.35 thf(zip_derived_cl160, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X1) @ X0))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X1) @ X2)) @ (or @ X0 @ X1)))
% 67.61/10.35 | (is_a_theorem @ (or @ X3 @ X0)))),
% 67.61/10.35 inference('condensation', [status(thm)], [zip_derived_cl107])).
% 67.61/10.35 thf(an_4, conjecture, (is_a_theorem @ ( or @ ( not @ ( or @ a @ a ) ) @ a ))).
% 67.61/10.35 thf(zf_stmt_0, negated_conjecture,
% 67.61/10.35 (~( is_a_theorem @ ( or @ ( not @ ( or @ a @ a ) ) @ a ) )),
% 67.61/10.35 inference('cnf.neg', [status(esa)], [an_4])).
% 67.61/10.35 thf(zip_derived_cl2, plain,
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ (or @ a @ a)) @ a))),
% 67.61/10.35 inference('cnf', [status(esa)], [zf_stmt_0])).
% 67.61/10.35 thf(zip_derived_cl0, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | ~ (is_a_theorem @ X0)
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 67.61/10.35 thf(zip_derived_cl3, plain,
% 67.61/10.35 (![X0 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ (or @ (not @ (or @ a @ a)) @ a)))
% 67.61/10.35 | ~ (is_a_theorem @ X0))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl177, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X1) @ X2)) @
% 67.61/10.35 (or @ (or @ (not @ (or @ a @ a)) @ a) @ X1)))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ X1) @ (or @ (not @ (or @ a @ a)) @ a)))
% 67.61/10.35 | ~ (is_a_theorem @ X0))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl3])).
% 67.61/10.35 thf(zip_derived_cl215, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X1)) @
% 67.61/10.35 (or @ (or @ (not @ (or @ a @ a)) @ a) @ X0)))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ X0) @ (or @ (not @ (or @ a @ a)) @ a))))),
% 67.61/10.35 inference('condensation', [status(thm)], [zip_derived_cl177])).
% 67.61/10.35 thf(zip_derived_cl1802, plain,
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ a @ a)) @ (or @ (not @ (or @ a @ a)) @ a)))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl1708, zip_derived_cl215])).
% 67.61/10.35 thf(zip_derived_cl0, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | ~ (is_a_theorem @ X0)
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('cnf', [status(esa)], [condensed_detachment])).
% 67.61/10.35 thf(zip_derived_cl1824, plain,
% 67.61/10.35 (![X0 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ X0) @
% 67.61/10.35 (or @ (not @ (or @ a @ a)) @ (or @ (not @ (or @ a @ a)) @ a))))
% 67.61/10.35 | ~ (is_a_theorem @ X0))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl1802, zip_derived_cl0])).
% 67.61/10.35 thf(zip_derived_cl1838, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ (not @ (or @ a @ a))) @ X1)) @
% 67.61/10.35 (or @ (not @ (or @ a @ a)) @ (or @ a @ X0))))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X0) @ a)))),
% 67.61/10.35 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1824])).
% 67.61/10.35 thf(zip_derived_cl10381, plain,
% 67.61/10.35 (![X0 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ (or @ a @ a)) @ (or @ a @ X0)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X0) @ a)))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl7928, zip_derived_cl1838])).
% 67.61/10.35 thf(zip_derived_cl13396, plain, (~ (is_a_theorem @ (or @ (not @ a) @ a))),
% 67.61/10.35 inference('s_sup-', [status(thm)],
% 67.61/10.35 [zip_derived_cl11995, zip_derived_cl10381])).
% 67.61/10.35 thf(zip_derived_cl294, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X2)) @ (or @ X1 @ X0)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 67.61/10.35 | (is_a_theorem @ X1))),
% 67.61/10.35 inference('condensation', [status(thm)], [zip_derived_cl170])).
% 67.61/10.35 thf(zip_derived_cl16, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 ( (is_a_theorem @ (or @ X2 @ (or @ X0 @ X3)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X1) @ X3))
% 67.61/10.35 | ~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 67.61/10.35 (or @ X2 @ (or @ X3 @ X1)))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 67.61/10.35 thf(zip_derived_cl1, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (is_a_theorem @
% 67.61/10.35 (or @
% 67.61/10.35 (not @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 67.61/10.35 inference('cnf', [status(esa)], [an_CAMeredith])).
% 67.61/10.35 thf(zip_derived_cl20, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.61/10.35 (~ (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2))
% 67.61/10.35 | (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X3) @ X0)) @
% 67.61/10.35 (or @ (or @ (not @ X0) @ X4) @ X2))))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 67.61/10.35 thf(zip_derived_cl304, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.61/10.35 ( (is_a_theorem @ (or @ (not @ X2) @ X1))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ X0) @ (or @ (not @ X2) @ X1)))
% 67.61/10.35 | ~ (is_a_theorem @ (or @ (not @ (or @ X3 @ X2)) @ X0)))),
% 67.61/10.35 inference('s_sup+', [status(thm)], [zip_derived_cl294, zip_derived_cl20])).
% 67.61/10.35 thf(zip_derived_cl514, plain,
% 67.61/10.35 (![X0 : $i]:
% 67.61/10.35 (~ (is_a_theorem @
% 67.61/10.35 (or @ (not @ (or @ (not @ X0) @ X0)) @ (or @ (not @ X0) @ X0)))
% 67.61/10.35 | (is_a_theorem @ (or @ (not @ X0) @ X0)))),
% 67.61/10.35 inference('eq_fact', [status(thm)], [zip_derived_cl304])).
% 67.61/10.35 thf(zip_derived_cl11995, plain,
% 67.61/10.35 (![X0 : $i, X1 : $i]:
% 67.61/10.35 (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ (or @ X1 @ X0)))),
% 67.61/10.35 inference('s_sup+', [status(thm)],
% 67.61/10.35 [zip_derived_cl8696, zip_derived_cl6533])).
% 67.61/10.35 thf(zip_derived_cl13262, plain,
% 67.61/10.35 (![X0 : $i]: (is_a_theorem @ (or @ (not @ X0) @ X0))),
% 67.61/10.35 inference('demod', [status(thm)],
% 67.61/10.35 [zip_derived_cl514, zip_derived_cl11995])).
% 67.61/10.35 thf(zip_derived_cl13988, plain, ($false),
% 67.61/10.35 inference('demod', [status(thm)],
% 67.61/10.35 [zip_derived_cl13396, zip_derived_cl13262])).
% 67.61/10.35
% 67.61/10.35 % SZS output end Refutation
% 67.61/10.35
% 67.61/10.35
% 67.61/10.35 % Terminating...
% 67.61/10.39 % Runner terminated.
% 11.02/10.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------