TSTP Solution File: LCL003-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL003-1 : 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.CQ2WCJ5CAS true
% Computer : n016.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 102.50s 15.51s
% Output : Refutation 102.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL003-1 : 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.CQ2WCJ5CAS true
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 19:41:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.18/0.62 % Total configuration time : 435
% 0.18/0.62 % Estimated wc time : 1092
% 0.18/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 102.50/15.51 % Solved by fo/fo13.sh.
% 102.50/15.51 % done 1939 iterations in 14.735s
% 102.50/15.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 102.50/15.51 % SZS output start Refutation
% 102.50/15.51 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 102.50/15.51 thf(or_type, type, or: $i > $i > $i).
% 102.50/15.51 thf(not_type, type, not: $i > $i).
% 102.50/15.51 thf(b_type, type, b: $i).
% 102.50/15.51 thf(a_type, type, a: $i).
% 102.50/15.51 thf(an_CAMerideth, axiom,
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 ( or @
% 102.50/15.51 ( not @
% 102.50/15.51 ( or @
% 102.50/15.51 ( not @ ( or @ ( not @ X ) @ Y ) ) @ ( or @ Z @ ( or @ U @ V ) ) ) ) @
% 102.50/15.51 ( or @ ( not @ ( or @ ( not @ U ) @ X ) ) @ ( or @ Z @ ( or @ V @ X ) ) ) ))).
% 102.50/15.51 thf(zip_derived_cl1, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @
% 102.50/15.51 (not @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 102.50/15.51 inference('cnf', [status(esa)], [an_CAMerideth])).
% 102.50/15.51 thf(condensed_detachment, axiom,
% 102.50/15.51 (( ~( is_a_theorem @ ( or @ ( not @ X ) @ Y ) ) ) |
% 102.50/15.51 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 102.50/15.51 thf(zip_derived_cl0, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | ~ (is_a_theorem @ X0)
% 102.50/15.51 | (is_a_theorem @ X1))),
% 102.50/15.51 inference('cnf', [status(esa)], [condensed_detachment])).
% 102.50/15.51 thf(zip_derived_cl4, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 102.50/15.51 | (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl0, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | ~ (is_a_theorem @ X0)
% 102.50/15.51 | (is_a_theorem @ X1))),
% 102.50/15.51 inference('cnf', [status(esa)], [condensed_detachment])).
% 102.50/15.51 thf(zip_derived_cl8, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X3) @ X0))
% 102.50/15.51 | (is_a_theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl4, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 102.50/15.51 | (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl18, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 ( (is_a_theorem @ (or @ X2 @ (or @ X0 @ X3)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X1) @ X3))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 102.50/15.51 (or @ X2 @ (or @ X3 @ X1)))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 102.50/15.51 thf(zip_derived_cl4, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 102.50/15.51 | (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl23, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | (is_a_theorem @ (or @ X2 @ (or @ X3 @ X1)))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 102.50/15.51 (or @ X2 @ (or @ X3 @ X1)))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 102.50/15.51 thf(zip_derived_cl1, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @
% 102.50/15.51 (not @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 102.50/15.51 inference('cnf', [status(esa)], [an_CAMerideth])).
% 102.50/15.51 thf(zip_derived_cl27, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 ( (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 102.50/15.51 thf(zip_derived_cl18, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 ( (is_a_theorem @ (or @ X2 @ (or @ X0 @ X3)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X1) @ X3))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 102.50/15.51 (or @ X2 @ (or @ X3 @ X1)))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 102.50/15.51 thf(zip_derived_cl148, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X1 @ X0)))
% 102.50/15.51 | (is_a_theorem @ (or @ X2 @ (or @ X3 @ X1)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X0) @ X1)))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl18])).
% 102.50/15.51 thf(zip_derived_cl0, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | ~ (is_a_theorem @ X0)
% 102.50/15.51 | (is_a_theorem @ X1))),
% 102.50/15.51 inference('cnf', [status(esa)], [condensed_detachment])).
% 102.50/15.51 thf(zip_derived_cl488, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X3) @ X0))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X4)) @ (or @ X0 @ X3)))
% 102.50/15.51 | ~ (is_a_theorem @ X2)
% 102.50/15.51 | (is_a_theorem @ (or @ X1 @ X0)))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl641, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X1) @ X0))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X1) @ X2)) @ (or @ X0 @ X1)))
% 102.50/15.51 | (is_a_theorem @ (or @ X3 @ X0)))),
% 102.50/15.51 inference('condensation', [status(thm)], [zip_derived_cl488])).
% 102.50/15.51 thf(zip_derived_cl0, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | ~ (is_a_theorem @ X0)
% 102.50/15.51 | (is_a_theorem @ X1))),
% 102.50/15.51 inference('cnf', [status(esa)], [condensed_detachment])).
% 102.50/15.51 thf(zip_derived_cl657, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X2) @ X3)) @ (or @ X0 @ X2)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X2) @ X0))
% 102.50/15.51 | ~ (is_a_theorem @ X1)
% 102.50/15.51 | (is_a_theorem @ X0))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl641, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl833, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X2)) @ (or @ X1 @ X0)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | (is_a_theorem @ X1))),
% 102.50/15.51 inference('condensation', [status(thm)], [zip_derived_cl657])).
% 102.50/15.51 thf(zip_derived_cl18, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 ( (is_a_theorem @ (or @ X2 @ (or @ X0 @ X3)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X1) @ X3))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 102.50/15.51 (or @ X2 @ (or @ X3 @ X1)))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 102.50/15.51 thf(zip_derived_cl1, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @
% 102.50/15.51 (not @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 102.50/15.51 inference('cnf', [status(esa)], [an_CAMerideth])).
% 102.50/15.51 thf(zip_derived_cl22, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2))
% 102.50/15.51 | (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @
% 102.50/15.51 (or @ (or @ (not @ X0) @ X4) @ X2))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 102.50/15.51 thf(zip_derived_cl848, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 102.50/15.51 ( (is_a_theorem @ (or @ (not @ X2) @ X1))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X0) @ (or @ (not @ X2) @ X1)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ (or @ X3 @ X2)) @ X0)))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl833, zip_derived_cl22])).
% 102.50/15.51 thf(zip_derived_cl1529, plain,
% 102.50/15.51 (![X0 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X0)) @ (or @ (not @ X0) @ X0)))
% 102.50/15.51 | (is_a_theorem @ (or @ (not @ X0) @ X0)))),
% 102.50/15.51 inference('eq_fact', [status(thm)], [zip_derived_cl848])).
% 102.50/15.51 thf(zip_derived_cl833, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X2)) @ (or @ X1 @ X0)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | (is_a_theorem @ X1))),
% 102.50/15.51 inference('condensation', [status(thm)], [zip_derived_cl657])).
% 102.50/15.51 thf(zip_derived_cl27, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 ( (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 102.50/15.51 thf(zip_derived_cl842, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 102.50/15.51 ( (is_a_theorem @ X2)
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X3)) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl833, zip_derived_cl27])).
% 102.50/15.51 thf(zip_derived_cl1, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @
% 102.50/15.51 (not @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 102.50/15.51 inference('cnf', [status(esa)], [an_CAMerideth])).
% 102.50/15.51 thf(zip_derived_cl2035, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @
% 102.50/15.51 (not @
% 102.50/15.51 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 102.50/15.51 (or @ (not @ X0) @ (or @ X1 @ X0)))) @
% 102.50/15.51 X3))
% 102.50/15.51 | (is_a_theorem @ X3))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl1])).
% 102.50/15.51 thf(zip_derived_cl1, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @
% 102.50/15.51 (not @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X1)) @ (or @ X2 @ (or @ X3 @ X4)))) @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X4 @ X0)))))),
% 102.50/15.51 inference('cnf', [status(esa)], [an_CAMerideth])).
% 102.50/15.51 thf(zip_derived_cl2175, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 102.50/15.51 (or @ (not @ X1) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl2035, zip_derived_cl1])).
% 102.50/15.51 thf(zip_derived_cl4, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 102.50/15.51 | (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl4, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 102.50/15.51 | (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl7, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 ( (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X1) @ X3)) @ (or @ X2 @ (or @ X0 @ X3))))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @
% 102.50/15.51 (or @ X2 @ (or @ X3 @ X1)))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl4])).
% 102.50/15.51 thf(zip_derived_cl2326, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X1)) @
% 102.50/15.51 (or @ (not @ X1) @ (or @ X2 @ X1))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl2175, zip_derived_cl7])).
% 102.50/15.51 thf(zip_derived_cl2175, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 102.50/15.51 (or @ (not @ X1) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl2035, zip_derived_cl1])).
% 102.50/15.51 thf(zip_derived_cl842, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 102.50/15.51 ( (is_a_theorem @ X2)
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X3)) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl833, zip_derived_cl27])).
% 102.50/15.51 thf(zip_derived_cl2350, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 ( (is_a_theorem @ X2)
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X1) @ (or @ X1 @ X0))) @ X2)))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl2175, zip_derived_cl842])).
% 102.50/15.51 thf(zip_derived_cl7122, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ X1 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl2326, zip_derived_cl2350])).
% 102.50/15.51 thf(zip_derived_cl2350, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 ( (is_a_theorem @ X2)
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X1) @ (or @ X1 @ X0))) @ X2)))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl2175, zip_derived_cl842])).
% 102.50/15.51 thf(zip_derived_cl7685, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (is_a_theorem @ (or @ X2 @ (or @ (not @ X1) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl7122, zip_derived_cl2350])).
% 102.50/15.51 thf(zip_derived_cl2035, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @
% 102.50/15.51 (not @
% 102.50/15.51 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 102.50/15.51 (or @ (not @ X0) @ (or @ X1 @ X0)))) @
% 102.50/15.51 X3))
% 102.50/15.51 | (is_a_theorem @ X3))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl842, zip_derived_cl1])).
% 102.50/15.51 thf(zip_derived_cl7962, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (is_a_theorem @ (or @ (not @ X1) @ (or @ X1 @ X0)))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl7685, zip_derived_cl2035])).
% 102.50/15.51 thf(zip_derived_cl833, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X2)) @ (or @ X1 @ X0)))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | (is_a_theorem @ X1))),
% 102.50/15.51 inference('condensation', [status(thm)], [zip_derived_cl657])).
% 102.50/15.51 thf(zip_derived_cl8192, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X0) @ (or @ (not @ X0) @ X1)))
% 102.50/15.51 | (is_a_theorem @ (or @ (not @ X0) @ X1)))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl7962, zip_derived_cl833])).
% 102.50/15.51 thf(zip_derived_cl7122, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ X1 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl2326, zip_derived_cl2350])).
% 102.50/15.51 thf(zip_derived_cl14183, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ (or @ X1 @ X0)))),
% 102.50/15.51 inference('s_sup+', [status(thm)],
% 102.50/15.51 [zip_derived_cl8192, zip_derived_cl7122])).
% 102.50/15.51 thf(zip_derived_cl16529, plain,
% 102.50/15.51 (![X0 : $i]: (is_a_theorem @ (or @ (not @ X0) @ X0))),
% 102.50/15.51 inference('demod', [status(thm)],
% 102.50/15.51 [zip_derived_cl1529, zip_derived_cl14183])).
% 102.50/15.51 thf(zip_derived_cl842, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 102.50/15.51 ( (is_a_theorem @ X2)
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2))
% 102.50/15.51 | ~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X3)) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl833, zip_derived_cl27])).
% 102.50/15.51 thf(zip_derived_cl16874, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 ( (is_a_theorem @ X1)
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ (or @ (not @ X0) @ X0)) @ X1)))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl16529, zip_derived_cl842])).
% 102.50/15.51 thf(zip_derived_cl2175, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X2) @ X0)) @
% 102.50/15.51 (or @ (not @ X1) @ (or @ X1 @ X0))))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl2035, zip_derived_cl1])).
% 102.50/15.51 thf(zip_derived_cl4, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 102.50/15.51 | (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl2325, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 102.50/15.51 (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X1) @ X2)) @
% 102.50/15.51 (or @ (not @ X1) @ (or @ X0 @ X2))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl2175, zip_derived_cl4])).
% 102.50/15.51 thf(zip_derived_cl17945, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (is_a_theorem @ (or @ (not @ X0) @ (or @ X1 @ X0)))),
% 102.50/15.51 inference('s_sup+', [status(thm)],
% 102.50/15.51 [zip_derived_cl16874, zip_derived_cl2325])).
% 102.50/15.51 thf(zip_derived_cl16874, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 ( (is_a_theorem @ X1)
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ (or @ (not @ X0) @ X0)) @ X1)))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl16529, zip_derived_cl842])).
% 102.50/15.51 thf(zip_derived_cl18419, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (is_a_theorem @ (or @ X1 @ (or @ (not @ X0) @ X0)))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl17945, zip_derived_cl16874])).
% 102.50/15.51 thf(zip_derived_cl4, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X0) @ X4)) @ (or @ X2 @ (or @ X3 @ X1))))
% 102.50/15.51 | (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ X3) @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 102.50/15.51 thf(an_2, conjecture,
% 102.50/15.51 (is_a_theorem @ ( or @ ( not @ ( or @ a @ b ) ) @ ( or @ b @ a ) ))).
% 102.50/15.51 thf(zf_stmt_0, negated_conjecture,
% 102.50/15.51 (~( is_a_theorem @ ( or @ ( not @ ( or @ a @ b ) ) @ ( or @ b @ a ) ) )),
% 102.50/15.51 inference('cnf.neg', [status(esa)], [an_2])).
% 102.50/15.51 thf(zip_derived_cl2, plain,
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ (or @ a @ b)) @ (or @ b @ a)))),
% 102.50/15.51 inference('cnf', [status(esa)], [zf_stmt_0])).
% 102.50/15.51 thf(zip_derived_cl0, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (~ (is_a_theorem @ (or @ (not @ X0) @ X1))
% 102.50/15.51 | ~ (is_a_theorem @ X0)
% 102.50/15.51 | (is_a_theorem @ X1))),
% 102.50/15.51 inference('cnf', [status(esa)], [condensed_detachment])).
% 102.50/15.51 thf(zip_derived_cl3, plain,
% 102.50/15.51 (![X0 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ X0) @ (or @ (not @ (or @ a @ b)) @ (or @ b @ a))))
% 102.50/15.51 | ~ (is_a_theorem @ X0))),
% 102.50/15.51 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 102.50/15.51 thf(zip_derived_cl14, plain,
% 102.50/15.51 (![X0 : $i, X1 : $i]:
% 102.50/15.51 (~ (is_a_theorem @
% 102.50/15.51 (or @ (not @ (or @ (not @ a) @ X1)) @
% 102.50/15.51 (or @ (not @ (or @ a @ b)) @ (or @ X0 @ b))))
% 102.50/15.51 | ~ (is_a_theorem @ (or @ (not @ X0) @ a)))),
% 102.50/15.51 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 102.50/15.51 thf(zip_derived_cl18674, plain, (~ (is_a_theorem @ (or @ (not @ a) @ a))),
% 102.50/15.51 inference('s_sup-', [status(thm)],
% 102.50/15.51 [zip_derived_cl18419, zip_derived_cl14])).
% 102.50/15.51 thf(zip_derived_cl16529, plain,
% 102.50/15.51 (![X0 : $i]: (is_a_theorem @ (or @ (not @ X0) @ X0))),
% 102.50/15.51 inference('demod', [status(thm)],
% 102.50/15.51 [zip_derived_cl1529, zip_derived_cl14183])).
% 102.50/15.51 thf(zip_derived_cl18762, plain, ($false),
% 102.50/15.51 inference('demod', [status(thm)],
% 102.50/15.51 [zip_derived_cl18674, zip_derived_cl16529])).
% 102.50/15.51
% 102.50/15.51 % SZS output end Refutation
% 102.50/15.51
% 102.50/15.51
% 102.50/15.51 % Terminating...
% 103.61/15.63 % Runner terminated.
% 103.61/15.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------