%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL114-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RYyGtaXX5H true
% Computer : n026.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 01:35:14 PM UTC 2026
% Result : Unsatisfiable 43.91s 6.96s
% Output : Refutation 43.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL114-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RYyGtaXX5H true
% 0.13/0.38 % Computer : n026.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Fri Sep 4 14:16:10 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % Running portfolio for 300 s
% 0.13/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Number of cores: 8
% 0.13/0.39 % Python version: Python 3.12.3
% 0.13/0.39 % Running in FO mode
% 0.45/0.67 % Total configuration time : 435
% 0.45/0.67 % Estimated wc time : 1092
% 0.45/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 43.91/6.96 % Solved by fo/fo6_bce.sh.
% 43.91/6.96 % BCE start: 6
% 43.91/6.96 % BCE eliminated: 0
% 43.91/6.96 % PE start: 6
% 43.91/6.96 logic: neq
% 43.91/6.96 % PE eliminated: 0
% 43.91/6.96 % done 1575 iterations in 6.186s
% 43.91/6.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 43.91/6.96 % SZS output start Refutation
% 43.91/6.96 thf(a_type, type, a: $i).
% 43.91/6.96 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 43.91/6.96 thf(implies_type, type, implies: $i > $i > $i).
% 43.91/6.96 thf(not_type, type, not: $i > $i).
% 43.91/6.96 thf(b_type, type, b: $i).
% 43.91/6.96 thf(prove_mv_36, conjecture,
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 ( implies @ ( implies @ a @ b ) @ ( implies @ ( not @ b ) @ ( not @ a ) ) ))).
% 43.91/6.96 thf(zf_stmt_0, negated_conjecture,
% 43.91/6.96 (~( is_a_theorem @
% 43.91/6.96 ( implies @
% 43.91/6.96 ( implies @ a @ b ) @ ( implies @ ( not @ b ) @ ( not @ a ) ) ) )),
% 43.91/6.96 inference('cnf.neg', [status(esa)], [prove_mv_36])).
% 43.91/6.96 thf(zip_derived_cl5, plain,
% 43.91/6.96 (~ (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ a @ b) @ (implies @ (not @ b) @ (not @ a))))),
% 43.91/6.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.91/6.96 thf(mv_5, axiom,
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ))).
% 43.91/6.96 thf(zip_derived_cl4, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_5])).
% 43.91/6.96 thf(mv_1, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 43.91/6.96 thf(zip_derived_cl1, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_1])).
% 43.91/6.96 thf(condensed_detachment, axiom,
% 43.91/6.96 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 43.91/6.96 ( is_a_theorem @ Y ))).
% 43.91/6.96 thf(zip_derived_cl0, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 43.91/6.96 | ~ (is_a_theorem @ X0)
% 43.91/6.96 | (is_a_theorem @ X1))),
% 43.91/6.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 43.91/6.96 thf(zip_derived_cl6, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 43.91/6.96 thf(mv_3, axiom,
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 ( implies @
% 43.91/6.96 ( implies @ ( implies @ X @ Y ) @ Y ) @
% 43.91/6.96 ( implies @ ( implies @ Y @ X ) @ X ) ))).
% 43.91/6.96 thf(zip_derived_cl3, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ (implies @ X0 @ X1) @ X1) @
% 43.91/6.96 (implies @ (implies @ X1 @ X0) @ X0)))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_3])).
% 43.91/6.96 thf(zip_derived_cl0, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 43.91/6.96 | ~ (is_a_theorem @ X0)
% 43.91/6.96 | (is_a_theorem @ X1))),
% 43.91/6.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 43.91/6.96 thf(zip_derived_cl12, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl13, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ X0)
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 43.91/6.96 thf(zip_derived_cl4, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_5])).
% 43.91/6.96 thf(mv_2, axiom,
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 ( implies @
% 43.91/6.96 ( implies @ X @ Y ) @
% 43.91/6.96 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 43.91/6.96 thf(zip_derived_cl2, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ X0 @ X1) @
% 43.91/6.96 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_2])).
% 43.91/6.96 thf(zip_derived_cl0, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 43.91/6.96 | ~ (is_a_theorem @ X0)
% 43.91/6.96 | (is_a_theorem @ X1))),
% 43.91/6.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 43.91/6.96 thf(zip_derived_cl7, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl0, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 43.91/6.96 | ~ (is_a_theorem @ X0)
% 43.91/6.96 | (is_a_theorem @ X1))),
% 43.91/6.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 43.91/6.96 thf(zip_derived_cl15, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 43.91/6.96 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl24, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 43.91/6.96 | (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ X2)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl15])).
% 43.91/6.96 thf(zip_derived_cl4, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_5])).
% 43.91/6.96 thf(zip_derived_cl1, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_1])).
% 43.91/6.96 thf(zip_derived_cl15, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 43.91/6.96 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl20, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 43.91/6.96 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl15])).
% 43.91/6.96 thf(zip_derived_cl41, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 43.91/6.96 thf(zip_derived_cl15, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 43.91/6.96 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl44, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 43.91/6.96 | (is_a_theorem @ (implies @ (not @ X1) @ X2)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl15])).
% 43.91/6.96 thf(zip_derived_cl115, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 43.91/6.96 | (is_a_theorem @ (implies @ (not @ (not @ X2)) @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl44])).
% 43.91/6.96 thf(zip_derived_cl447, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ X1)
% 43.91/6.96 | (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl115])).
% 43.91/6.96 thf(zip_derived_cl13, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ X0)
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 43.91/6.96 thf(zip_derived_cl20, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 43.91/6.96 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl15])).
% 43.91/6.96 thf(zip_derived_cl38, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl20])).
% 43.91/6.96 thf(zip_derived_cl1, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_1])).
% 43.91/6.96 thf(zip_derived_cl54, plain,
% 43.91/6.96 (![X2 : $i]: (is_a_theorem @ (implies @ X2 @ X2))),
% 43.91/6.96 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 43.91/6.96 thf(zip_derived_cl493, plain,
% 43.91/6.96 (![X1 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X1)) @ X1))),
% 43.91/6.96 inference('s_sup+', [status(thm)], [zip_derived_cl447, zip_derived_cl54])).
% 43.91/6.96 thf(zip_derived_cl7, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl15, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 43.91/6.96 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl25, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl15])).
% 43.91/6.96 thf(zip_derived_cl566, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ (not @ (not @ X0)) @ X2) @ X1))
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl493, zip_derived_cl25])).
% 43.91/6.96 thf(zip_derived_cl20251, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ X0 @ (not @ X1)) @ (implies @ X1 @ (not @ X0))))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl566])).
% 43.91/6.96 thf(zip_derived_cl493, plain,
% 43.91/6.96 (![X1 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X1)) @ X1))),
% 43.91/6.96 inference('s_sup+', [status(thm)], [zip_derived_cl447, zip_derived_cl54])).
% 43.91/6.96 thf(zip_derived_cl4, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_5])).
% 43.91/6.96 thf(zip_derived_cl0, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 43.91/6.96 | ~ (is_a_theorem @ X0)
% 43.91/6.96 | (is_a_theorem @ X1))),
% 43.91/6.96 inference('cnf', [status(esa)], [condensed_detachment])).
% 43.91/6.96 thf(zip_derived_cl11, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1)))
% 43.91/6.96 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl571, plain,
% 43.91/6.96 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl493, zip_derived_cl11])).
% 43.91/6.96 thf(zip_derived_cl13, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ X0)
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl12])).
% 43.91/6.96 thf(zip_derived_cl15, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 43.91/6.96 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl21, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ X1)
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl15])).
% 43.91/6.96 thf(zip_derived_cl2, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ X0 @ X1) @
% 43.91/6.96 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 43.91/6.96 inference('cnf', [status(esa)], [mv_2])).
% 43.91/6.96 thf(zip_derived_cl15, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 43.91/6.96 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 43.91/6.96 thf(zip_derived_cl22, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.91/6.96 (~ (is_a_theorem @
% 43.91/6.96 (implies @
% 43.91/6.96 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 43.91/6.96 thf(zip_derived_cl88, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.91/6.96 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 43.91/6.96 | ~ (is_a_theorem @ (implies @ X3 @ X1))
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X2 @ X3) @ X0)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl22])).
% 43.91/6.96 thf(zip_derived_cl599, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.91/6.96 (~ (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ X2 @ (not @ (not @ X0))) @ X1))
% 43.91/6.96 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X1)))),
% 43.91/6.96 inference('s_sup-', [status(thm)], [zip_derived_cl571, zip_derived_cl88])).
% 43.91/6.96 thf(zip_derived_cl22544, plain,
% 43.91/6.96 (![X0 : $i, X1 : $i]:
% 43.91/6.96 (is_a_theorem @
% 43.91/6.96 (implies @ (implies @ X0 @ X1) @ (implies @ (not @ X1) @ (not @ X0))))),
% 43.91/6.96 inference('s_sup-', [status(thm)],
% 43.91/6.96 [zip_derived_cl20251, zip_derived_cl599])).
% 43.91/6.96 thf(zip_derived_cl22546, plain, ($false),
% 43.91/6.96 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl22544])).
% 43.91/6.96
% 43.91/6.96 % SZS output end Refutation
% 43.91/6.96
% 43.91/6.96
% 43.91/6.96 % Terminating...
% 43.91/7.00 % Runner terminated.
% 43.91/7.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------