%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL402-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VGUZviM0ww 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 01:35:52 PM UTC 2026
% Result : Unsatisfiable 109.85s 16.34s
% Output : Refutation 109.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL402-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VGUZviM0ww true
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 19:59:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.45/0.65 % Total configuration time : 435
% 0.45/0.65 % Estimated wc time : 1092
% 0.45/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 109.85/16.34 % Solved by fo/fo5.sh.
% 109.85/16.34 % done 6037 iterations in 15.509s
% 109.85/16.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 109.85/16.34 % SZS output start Refutation
% 109.85/16.34 thf(y_type, type, y: $i).
% 109.85/16.34 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 109.85/16.34 thf(implies_type, type, implies: $i > $i > $i).
% 109.85/16.34 thf(not_type, type, not: $i > $i).
% 109.85/16.34 thf(x_type, type, x: $i).
% 109.85/16.34 thf(prove_cn_68, conjecture,
% 109.85/16.34 (is_a_theorem @ ( implies @ ( not @ ( implies @ x @ ( not @ y ) ) ) @ y ))).
% 109.85/16.34 thf(zf_stmt_0, negated_conjecture,
% 109.85/16.34 (~( is_a_theorem @
% 109.85/16.34 ( implies @ ( not @ ( implies @ x @ ( not @ y ) ) ) @ y ) )),
% 109.85/16.34 inference('cnf.neg', [status(esa)], [prove_cn_68])).
% 109.85/16.34 thf(zip_derived_cl4, plain,
% 109.85/16.34 (~ (is_a_theorem @ (implies @ (not @ (implies @ x @ (not @ y))) @ y))),
% 109.85/16.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 109.85/16.34 thf(cn_2, axiom,
% 109.85/16.34 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 109.85/16.34 thf(zip_derived_cl2, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_2])).
% 109.85/16.34 thf(zip_derived_cl2, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_2])).
% 109.85/16.34 thf(zip_derived_cl2, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_2])).
% 109.85/16.34 thf(cn_1, axiom,
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 ( implies @
% 109.85/16.34 ( implies @ X @ Y ) @
% 109.85/16.34 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 109.85/16.34 thf(zip_derived_cl1, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X0 @ X1) @
% 109.85/16.34 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_1])).
% 109.85/16.34 thf(condensed_detachment, axiom,
% 109.85/16.34 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 109.85/16.34 ( is_a_theorem @ Y ))).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl13, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X0 @ X1) @
% 109.85/16.34 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl39, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl57, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @
% 109.85/16.34 (implies @ (not @ (implies @ (not @ X0) @ X0)) @
% 109.85/16.34 (implies @ (not @ X0) @ X0)) @
% 109.85/16.34 X0))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl39])).
% 109.85/16.34 thf(zip_derived_cl2, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_2])).
% 109.85/16.34 thf(cn_3, axiom,
% 109.85/16.34 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 109.85/16.34 thf(zip_derived_cl3, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_3])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl6, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ (not @ X1) @ X0)) | ~ (is_a_theorem @ X1))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl15, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X1)
% 109.85/16.34 | (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X0 @ X2) @ (implies @ (not @ X1) @ X2))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl3, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_3])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl12, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 109.85/16.34 (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl16, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl26, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X1)
% 109.85/16.34 | (is_a_theorem @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl16])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl29, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X1)
% 109.85/16.34 | (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 109.85/16.34 (implies @ X2 @ X3))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl144, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X3)
% 109.85/16.34 | (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl156, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl144])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl165, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ X2))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl181, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X2)
% 109.85/16.34 | (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ X3))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl6217, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X2)
% 109.85/16.34 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl6674, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ X1))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl6217])).
% 109.85/16.34 thf(zip_derived_cl1, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X0 @ X1) @
% 109.85/16.34 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_1])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl14, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @
% 109.85/16.34 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 109.85/16.34 X3) @
% 109.85/16.34 (implies @ (implies @ X1 @ X2) @ X3)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl48, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @
% 109.85/16.34 (implies @
% 109.85/16.34 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl9560, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X1) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl6674, zip_derived_cl48])).
% 109.85/16.34 thf(zip_derived_cl10425, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (not @ X0) @ (implies @ (not @ X0) @ X0)) @ X0))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl9560])).
% 109.85/16.34 thf(zip_derived_cl12, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 109.85/16.34 (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl48, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @
% 109.85/16.34 (implies @
% 109.85/16.34 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl123, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X1 @ (not @ X2)) @
% 109.85/16.34 (implies @ X2 @ (implies @ X1 @ X0))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl48])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl128, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X3) @
% 109.85/16.34 (implies @ (implies @ X1 @ (not @ X2)) @ X3)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl4287, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl10577, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (not @ X0) @ (not @ (not @ X0))) @ X0))),
% 109.85/16.34 inference('sup-', [status(thm)],
% 109.85/16.34 [zip_derived_cl10425, zip_derived_cl4287])).
% 109.85/16.34 thf(zip_derived_cl2, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_2])).
% 109.85/16.34 thf(zip_derived_cl2, plain,
% 109.85/16.34 (![X0 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 109.85/16.34 inference('cnf', [status(esa)], [cn_2])).
% 109.85/16.34 thf(zip_derived_cl29, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X1)
% 109.85/16.34 | (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 109.85/16.34 (implies @ X2 @ X3))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl145, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X3)
% 109.85/16.34 | (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ X1 @ X0) @ X4) @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X0) @ X4))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl4994, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X3)
% 109.85/16.34 | (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X1) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (implies @ X4 @ X1) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl5065, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X2) @ X1) @ X0) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ X2))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4994])).
% 109.85/16.34 thf(zip_derived_cl13, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X0 @ X1) @
% 109.85/16.34 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl40, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 109.85/16.34 (implies @ (implies @ X1 @ X0) @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl290, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ (not @ X2) @ X2) @ X1) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl5152, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ X1)
% 109.85/16.34 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl5065, zip_derived_cl290])).
% 109.85/16.34 thf(zip_derived_cl48, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @
% 109.85/16.34 (implies @
% 109.85/16.34 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl5252, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X2 @ X0))
% 109.85/16.34 | (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl5152, zip_derived_cl48])).
% 109.85/16.34 thf(zip_derived_cl5912, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @
% 109.85/16.34 (implies @ X1 @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5252])).
% 109.85/16.34 thf(zip_derived_cl123, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X1 @ (not @ X2)) @
% 109.85/16.34 (implies @ X2 @ (implies @ X1 @ X0))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl48])).
% 109.85/16.34 thf(zip_derived_cl16, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl130, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl16])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl139, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @
% 109.85/16.34 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3) @
% 109.85/16.34 (implies @ X1 @ X3)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl4657, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | ~ (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X3 @ (implies @ (not @ X1) @ X2)) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl22613, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl5912, zip_derived_cl4657])).
% 109.85/16.34 thf(zip_derived_cl7, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl22882, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (implies @ X1 @ X0) @ X2) @
% 109.85/16.34 (implies @ X0 @ X2)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl22613, zip_derived_cl7])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl26949, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl22882, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl27438, plain,
% 109.85/16.34 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 109.85/16.34 inference('sup-', [status(thm)],
% 109.85/16.34 [zip_derived_cl10577, zip_derived_cl26949])).
% 109.85/16.34 thf(zip_derived_cl5912, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X1 @ (implies @ (not @ X0) @ X0)) @
% 109.85/16.34 (implies @ X1 @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5252])).
% 109.85/16.34 thf(zip_derived_cl4287, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ (implies @ X2 @ (not @ X1)) @ X0))
% 109.85/16.34 | ~ (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ X1 @ (implies @ X2 @ X3)) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl128, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl22612, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @
% 109.85/16.34 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl5912, zip_derived_cl4287])).
% 109.85/16.34 thf(zip_derived_cl0, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 109.85/16.34 | ~ (is_a_theorem @ X0)
% 109.85/16.34 | (is_a_theorem @ X1))),
% 109.85/16.34 inference('cnf', [status(esa)], [condensed_detachment])).
% 109.85/16.34 thf(zip_derived_cl26536, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl22612, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl27607, plain,
% 109.85/16.34 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 109.85/16.34 inference('sup-', [status(thm)],
% 109.85/16.34 [zip_derived_cl27438, zip_derived_cl26536])).
% 109.85/16.34 thf(zip_derived_cl26949, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl22882, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl27849, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ X0 @ (not @ (not @ (implies @ X1 @ X0)))))),
% 109.85/16.34 inference('sup-', [status(thm)],
% 109.85/16.34 [zip_derived_cl27607, zip_derived_cl26949])).
% 109.85/16.34 thf(zip_derived_cl26536, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 ( (is_a_theorem @ (implies @ X1 @ X0))
% 109.85/16.34 | ~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1))))),
% 109.85/16.34 inference('sup-', [status(thm)], [zip_derived_cl22612, zip_derived_cl0])).
% 109.85/16.34 thf(zip_derived_cl29447, plain,
% 109.85/16.34 (![X0 : $i, X1 : $i]:
% 109.85/16.34 (is_a_theorem @ (implies @ (not @ (implies @ X1 @ (not @ X0))) @ X0))),
% 109.85/16.34 inference('sup-', [status(thm)],
% 109.85/16.34 [zip_derived_cl27849, zip_derived_cl26536])).
% 109.85/16.34 thf(zip_derived_cl30400, plain, ($false),
% 109.85/16.34 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl29447])).
% 109.85/16.34
% 109.85/16.34 % SZS output end Refutation
% 109.85/16.34
% 109.85/16.34
% 109.85/16.34 % Terminating...
% 109.85/16.40 % Runner terminated.
% 17.05/16.42 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------