%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL026-1 : 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.UaqmW3c0ds true
% Computer : n013.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 01:35:03 PM UTC 2026
% Result : Unsatisfiable 173.71s 29.82s
% Output : Refutation 173.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UaqmW3c0ds true
% 0.13/0.37 % Computer : n013.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sat Sep 5 12:33:05 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % Running portfolio for 300 s
% 0.13/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 % Number of cores: 8
% 0.13/0.38 % Python version: Python 3.12.3
% 0.13/0.39 % Running in FO mode
% 0.45/0.68 % Total configuration time : 435
% 0.45/0.68 % Estimated wc time : 1092
% 0.45/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.83 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 173.71/29.82 % Solved by fo/fo13.sh.
% 173.71/29.82 % done 11648 iterations in 28.945s
% 173.71/29.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 173.71/29.82 % SZS output start Refutation
% 173.71/29.82 thf(falsehood_type, type, falsehood: $i).
% 173.71/29.82 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 173.71/29.82 thf(implies_type, type, implies: $i > $i > $i).
% 173.71/29.82 thf(b_type, type, b: $i).
% 173.71/29.82 thf(a_type, type, a: $i).
% 173.71/29.82 thf(c0_6, axiom,
% 173.71/29.82 (is_a_theorem @
% 173.71/29.82 ( implies @
% 173.71/29.82 ( implies @ X @ ( implies @ Y @ Z ) ) @
% 173.71/29.82 ( implies @ ( implies @ X @ Y ) @ ( implies @ X @ Z ) ) ))).
% 173.71/29.82 thf(zip_derived_cl3, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 173.71/29.82 (implies @ (implies @ X0 @ X1) @ (implies @ X0 @ X2))))),
% 173.71/29.82 inference('cnf', [status(esa)], [c0_6])).
% 173.71/29.82 thf(condensed_detachment, axiom,
% 173.71/29.82 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 173.71/29.82 ( is_a_theorem @ Y ))).
% 173.71/29.82 thf(zip_derived_cl0, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 173.71/29.82 | ~ (is_a_theorem @ X0)
% 173.71/29.82 | (is_a_theorem @ X1))),
% 173.71/29.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 173.71/29.82 thf(zip_derived_cl16, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 173.71/29.82 | (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl16, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 173.71/29.82 | (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl0, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 173.71/29.82 | ~ (is_a_theorem @ X0)
% 173.71/29.82 | (is_a_theorem @ X1))),
% 173.71/29.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 173.71/29.82 thf(zip_derived_cl31, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 173.71/29.82 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl95, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 173.71/29.82 | ~ (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X1 @ X2) @
% 173.71/29.82 (implies @ (implies @ X1 @ X0) @ X3)))
% 173.71/29.82 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl31])).
% 173.71/29.82 thf(c0_2, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 173.71/29.82 thf(zip_derived_cl1, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('cnf', [status(esa)], [c0_2])).
% 173.71/29.82 thf(zip_derived_cl0, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 173.71/29.82 | ~ (is_a_theorem @ X0)
% 173.71/29.82 | (is_a_theorem @ X1))),
% 173.71/29.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 173.71/29.82 thf(zip_derived_cl5, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl509, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 173.71/29.82 ( (is_a_theorem @ (implies @ (implies @ X2 @ X3) @ X0))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X1)))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl5])).
% 173.71/29.82 thf(zip_derived_cl1, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('cnf', [status(esa)], [c0_2])).
% 173.71/29.82 thf(zip_derived_cl31, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 173.71/29.82 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl92, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @ X0 @ (implies @ (implies @ X1 @ X0) @ X2)))
% 173.71/29.82 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl31])).
% 173.71/29.82 thf(zip_derived_cl1, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('cnf', [status(esa)], [c0_2])).
% 173.71/29.82 thf(zip_derived_cl165, plain,
% 173.71/29.82 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl1])).
% 173.71/29.82 thf(zip_derived_cl16, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 173.71/29.82 | (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 173.71/29.82 thf(c0_5, axiom,
% 173.71/29.82 (is_a_theorem @
% 173.71/29.82 ( implies @ ( implies @ ( implies @ X @ falsehood ) @ falsehood ) @ X ))).
% 173.71/29.82 thf(zip_derived_cl2, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ (implies @ X0 @ falsehood) @ falsehood) @ X0))),
% 173.71/29.82 inference('cnf', [status(esa)], [c0_5])).
% 173.71/29.82 thf(prove_c0_3, conjecture,
% 173.71/29.82 (is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ))).
% 173.71/29.82 thf(zf_stmt_0, negated_conjecture,
% 173.71/29.82 (~( is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ) )),
% 173.71/29.82 inference('cnf.neg', [status(esa)], [prove_c0_3])).
% 173.71/29.82 thf(zip_derived_cl4, plain,
% 173.71/29.82 (~ (is_a_theorem @ (implies @ (implies @ (implies @ a @ b) @ a) @ a))),
% 173.71/29.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 173.71/29.82 thf(zip_derived_cl0, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 173.71/29.82 | ~ (is_a_theorem @ X0)
% 173.71/29.82 | (is_a_theorem @ X1))),
% 173.71/29.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 173.71/29.82 thf(zip_derived_cl6, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @ X0 @ (implies @ (implies @ (implies @ a @ b) @ a) @ a)))
% 173.71/29.82 | ~ (is_a_theorem @ X0))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl9, plain,
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @
% 173.71/29.82 falsehood) @
% 173.71/29.82 falsehood))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 173.71/29.82 thf(zip_derived_cl0, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 173.71/29.82 | ~ (is_a_theorem @ X0)
% 173.71/29.82 | (is_a_theorem @ X1))),
% 173.71/29.82 inference('cnf', [status(esa)], [condensed_detachment])).
% 173.71/29.82 thf(zip_derived_cl10, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @ X0 @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @
% 173.71/29.82 falsehood) @
% 173.71/29.82 falsehood)))
% 173.71/29.82 | ~ (is_a_theorem @ X0))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl33, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @
% 173.71/29.82 falsehood) @
% 173.71/29.82 (implies @ X0 @ falsehood)))
% 173.71/29.82 | ~ (is_a_theorem @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @
% 173.71/29.82 falsehood) @
% 173.71/29.82 X0)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl10])).
% 173.71/29.82 thf(zip_derived_cl208, plain,
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @
% 173.71/29.82 falsehood) @
% 173.71/29.82 (implies @ (implies @ (implies @ a @ b) @ a) @ a)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl33])).
% 173.71/29.82 thf(zip_derived_cl6787, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @ X0) @
% 173.71/29.82 (implies @ (implies @ (implies @ a @ b) @ a) @ a)))
% 173.71/29.82 | ~ (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @
% 173.71/29.82 (implies @ falsehood @ X0))))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl509, zip_derived_cl208])).
% 173.71/29.82 thf(zip_derived_cl92, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @ X0 @ (implies @ (implies @ X1 @ X0) @ X2)))
% 173.71/29.82 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl31])).
% 173.71/29.82 thf(zip_derived_cl5, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl163, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 ( (is_a_theorem @ (implies @ X1 @ X0))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl5])).
% 173.71/29.82 thf(zip_derived_cl16, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 173.71/29.82 | (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl260, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl16])).
% 173.71/29.82 thf(zip_derived_cl163, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 ( (is_a_theorem @ (implies @ X1 @ X0))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl5])).
% 173.71/29.82 thf(zip_derived_cl2, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ (implies @ X0 @ falsehood) @ falsehood) @ X0))),
% 173.71/29.82 inference('cnf', [status(esa)], [c0_5])).
% 173.71/29.82 thf(zip_derived_cl258, plain,
% 173.71/29.82 (![X0 : $i]: (is_a_theorem @ (implies @ falsehood @ X0))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl2])).
% 173.71/29.82 thf(zip_derived_cl2545, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (is_a_theorem @ (implies @ X1 @ (implies @ falsehood @ X0)))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl258])).
% 173.71/29.82 thf(zip_derived_cl7126, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 ~ (is_a_theorem @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @ X0) @
% 173.71/29.82 (implies @ (implies @ (implies @ a @ b) @ a) @ a)))),
% 173.71/29.82 inference('demod', [status(thm)],
% 173.71/29.82 [zip_derived_cl6787, zip_derived_cl2545])).
% 173.71/29.82 thf(zip_derived_cl260, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl16])).
% 173.71/29.82 thf(zip_derived_cl8845, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 ~ (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ (implies @ a @ b) @ a) @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @ X0) @
% 173.71/29.82 a)))),
% 173.71/29.82 inference('s_sup+', [status(thm)],
% 173.71/29.82 [zip_derived_cl7126, zip_derived_cl260])).
% 173.71/29.82 thf(zip_derived_cl163, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 ( (is_a_theorem @ (implies @ X1 @ X0))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl5])).
% 173.71/29.82 thf(zip_derived_cl3, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 173.71/29.82 (implies @ (implies @ X0 @ X1) @ (implies @ X0 @ X2))))),
% 173.71/29.82 inference('cnf', [status(esa)], [c0_6])).
% 173.71/29.82 thf(zip_derived_cl259, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X2 @ X0) @
% 173.71/29.82 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 173.71/29.82 inference('s_sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl3])).
% 173.71/29.82 thf(zip_derived_cl5, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl31, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 173.71/29.82 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 173.71/29.82 thf(zip_derived_cl91, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ X0)
% 173.71/29.82 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X2)))
% 173.71/29.82 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl31])).
% 173.71/29.82 thf(zip_derived_cl2378, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 173.71/29.82 | (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl91])).
% 173.71/29.82 thf(zip_derived_cl55686, plain,
% 173.71/29.82 (![X0 : $i]:
% 173.71/29.82 ~ (is_a_theorem @
% 173.71/29.82 (implies @
% 173.71/29.82 (implies @ (implies @ (implies @ (implies @ a @ b) @ a) @ a) @ X0) @
% 173.71/29.82 (implies @ a @ b)))),
% 173.71/29.82 inference('s_sup+', [status(thm)],
% 173.71/29.82 [zip_derived_cl8845, zip_derived_cl2378])).
% 173.71/29.82 thf(zip_derived_cl2378, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 173.71/29.82 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 173.71/29.82 | (is_a_theorem @
% 173.71/29.82 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 173.71/29.82 inference('s_sup-', [status(thm)], [zip_derived_cl259, zip_derived_cl91])).
% 173.71/29.82 thf(zip_derived_cl57662, plain,
% 173.71/29.82 (~ (is_a_theorem @
% 173.71/29.82 (implies @ a @ (implies @ (implies @ (implies @ a @ b) @ a) @ a)))),
% 173.71/29.82 inference('s_sup+', [status(thm)],
% 173.71/29.82 [zip_derived_cl55686, zip_derived_cl2378])).
% 173.71/29.82 thf(zip_derived_cl1, plain,
% 173.71/29.82 (![X0 : $i, X1 : $i]:
% 173.71/29.82 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 173.71/29.82 inference('cnf', [status(esa)], [c0_2])).
% 173.71/29.82 thf(zip_derived_cl57683, plain, ($false),
% 173.71/29.82 inference('demod', [status(thm)], [zip_derived_cl57662, zip_derived_cl1])).
% 173.71/29.82
% 173.71/29.82 % SZS output end Refutation
% 173.71/29.82
% 173.71/29.82
% 173.71/29.82 % Terminating...
% 173.71/29.88 % Runner terminated.
% 173.71/29.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------