%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL083-1 : 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.TbhIio0i9l true
% Computer : n014.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 01:35:09 PM UTC 2026
% Result : Unsatisfiable 113.45s 16.98s
% Output : Refutation 113.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL083-1 : 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.TbhIio0i9l true
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 04:00:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.38 % Running in FO mode
% 0.44/0.67 % Total configuration time : 435
% 0.44/0.67 % Estimated wc time : 1092
% 0.44/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 113.45/16.98 % Solved by fo/fo6_bce.sh.
% 113.45/16.98 % BCE start: 3
% 113.45/16.98 % BCE eliminated: 0
% 113.45/16.98 % PE start: 3
% 113.45/16.98 logic: neq
% 113.45/16.98 % PE eliminated: 0
% 113.45/16.98 % done 3340 iterations in 16.203s
% 113.45/16.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 113.45/16.98 % SZS output start Refutation
% 113.45/16.98 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 113.45/16.98 thf(implies_type, type, implies: $i > $i > $i).
% 113.45/16.98 thf(b_type, type, b: $i).
% 113.45/16.98 thf(a_type, type, a: $i).
% 113.45/16.98 thf(prove_ic_3, conjecture,
% 113.45/16.98 (is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ))).
% 113.45/16.98 thf(zf_stmt_0, negated_conjecture,
% 113.45/16.98 (~( is_a_theorem @ ( implies @ ( implies @ ( implies @ a @ b ) @ a ) @ a ) )),
% 113.45/16.98 inference('cnf.neg', [status(esa)], [prove_ic_3])).
% 113.45/16.98 thf(zip_derived_cl2, plain,
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ (implies @ a @ b) @ a) @ a))),
% 113.45/16.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 113.45/16.98 thf(ic_JLukasiewicz, axiom,
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 ( implies @
% 113.45/16.98 ( implies @ ( implies @ X @ Y ) @ Z ) @
% 113.45/16.98 ( implies @ ( implies @ Z @ X ) @ ( implies @ U @ X ) ) ))).
% 113.45/16.98 thf(zip_derived_cl1, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 113.45/16.98 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 113.45/16.98 thf(zip_derived_cl1, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 113.45/16.98 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 113.45/16.98 thf(zip_derived_cl1, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 113.45/16.98 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 113.45/16.98 thf(condensed_detachment, axiom,
% 113.45/16.98 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 113.45/16.98 ( is_a_theorem @ Y ))).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl4, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 113.45/16.98 (implies @ X0 @ X3)) @
% 113.45/16.98 (implies @ X4 @ (implies @ X0 @ X3))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl4, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 113.45/16.98 (implies @ X0 @ X3)) @
% 113.45/16.98 (implies @ X4 @ (implies @ X0 @ X3))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl5, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (~ (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 113.45/16.98 (implies @ X1 @ X0)))
% 113.45/16.98 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl7, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ X3 @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @
% 113.45/16.98 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl10, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @
% 113.45/16.98 (implies @ X0 @ (implies @ X1 @ X0))) @
% 113.45/16.98 X3) @
% 113.45/16.98 (implies @ X4 @ X3)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl4, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 113.45/16.98 (implies @ X0 @ X3)) @
% 113.45/16.98 (implies @ X4 @ (implies @ X0 @ X3))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl4, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 113.45/16.98 (implies @ X0 @ X3)) @
% 113.45/16.98 (implies @ X4 @ (implies @ X0 @ X3))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl6, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 113.45/16.98 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1))) @
% 113.45/16.98 (implies @ X5 @
% 113.45/16.98 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl12, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 113.45/16.98 (~ (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X5 @ (implies @ X0 @ X4)) @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ X3 @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl50, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ X4 @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl12])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl59, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ X2)
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl87, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ X2)
% 113.45/16.98 | ~ (is_a_theorem @ (implies @ X1 @ X0))
% 113.45/16.98 | (is_a_theorem @ (implies @ X0 @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl112, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 ( (is_a_theorem @ (implies @ X0 @ X0))
% 113.45/16.98 | ~ (is_a_theorem @ (implies @ X1 @ X0)))),
% 113.45/16.98 inference('condensation', [status(thm)], [zip_derived_cl87])).
% 113.45/16.98 thf(zip_derived_cl120, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ (implies @ X1 @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl112])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl134, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 113.45/16.98 (implies @ X2 @ X1)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl151, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X2)) @
% 113.45/16.98 (implies @ X3 @ (implies @ X0 @ X2))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl372, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 113.45/16.98 (implies @ X3 @ X1)) @
% 113.45/16.98 (implies @ X4 @ (implies @ X3 @ X1))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl1465, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (~ (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X4 @ (implies @ X0 @ X3)) @
% 113.45/16.98 (implies @ X1 @ X0)))
% 113.45/16.98 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl372, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl2735, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ X4 @
% 113.45/16.98 (implies @ (implies @ (implies @ (implies @ X1 @ X0) @ X2) @ X0) @
% 113.45/16.98 (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1465])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl27854, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ X3)
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ (implies @ X1 @ X0) @ X2) @ X0) @
% 113.45/16.98 (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl2735, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl59, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ X2)
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @ (implies @ X0 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl7, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ X3 @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @
% 113.45/16.98 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 113.45/16.98 thf(zip_derived_cl74, plain,
% 113.45/16.98 (![X3 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X3)))),
% 113.45/16.98 inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl7])).
% 113.45/16.98 thf(zip_derived_cl74, plain,
% 113.45/16.98 (![X3 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @ (implies @ (implies @ X4 @ X3) @ (implies @ X3 @ X3)))),
% 113.45/16.98 inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl7])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl129, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X0) @ X1) @
% 113.45/16.98 (implies @ X2 @ X1)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl143, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X2) @ X0))
% 113.45/16.98 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl172, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl143])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl176, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl7, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ X3 @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @
% 113.45/16.98 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 113.45/16.98 thf(zip_derived_cl228, plain,
% 113.45/16.98 (![X3 : $i]: (is_a_theorem @ (implies @ X3 @ X3))),
% 113.45/16.98 inference('s_sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl7])).
% 113.45/16.98 thf(zip_derived_cl28168, plain,
% 113.45/16.98 (![X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ (implies @ X2 @ X1) @ X3) @ X1) @
% 113.45/16.98 (implies @ X2 @ X1)))),
% 113.45/16.98 inference('s_sup+', [status(thm)],
% 113.45/16.98 [zip_derived_cl27854, zip_derived_cl228])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl28592, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @
% 113.45/16.98 (implies @ (implies @ X1 @ X0) @ X2)) @
% 113.45/16.98 (implies @ X3 @ (implies @ (implies @ X1 @ X0) @ X2))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl28168, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl1, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X3 @ X0))))),
% 113.45/16.98 inference('cnf', [status(esa)], [ic_JLukasiewicz])).
% 113.45/16.98 thf(zip_derived_cl12, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 113.45/16.98 (~ (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X5 @ (implies @ X0 @ X4)) @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ X3 @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl49, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ X4 @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X2) @ X0) @
% 113.45/16.98 (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl12])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl290, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X2) @ X0) @
% 113.45/16.98 (implies @ X1 @ X0)) @
% 113.45/16.98 X4) @
% 113.45/16.98 (implies @ X5 @ X4)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl711, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 113.45/16.98 (~ (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ (implies @ (implies @ X2 @ X4) @ X2) @
% 113.45/16.98 (implies @ X3 @ X2)) @
% 113.45/16.98 X0))
% 113.45/16.98 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl290, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl34765, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ X3 @
% 113.45/16.98 (implies @ X2 @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)],
% 113.45/16.98 [zip_derived_cl28592, zip_derived_cl711])).
% 113.45/16.98 thf(zip_derived_cl3, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X3) @ X2))
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl34880, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i, X5 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @
% 113.45/16.98 (implies @ X2 @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0)) @
% 113.45/16.98 X4) @
% 113.45/16.98 (implies @ X5 @ X4)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl34765, zip_derived_cl3])).
% 113.45/16.98 thf(zip_derived_cl28168, plain,
% 113.45/16.98 (![X1 : $i, X2 : $i, X3 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ (implies @ X2 @ X1) @ X3) @ X1) @
% 113.45/16.98 (implies @ X2 @ X1)))),
% 113.45/16.98 inference('s_sup+', [status(thm)],
% 113.45/16.98 [zip_derived_cl27854, zip_derived_cl228])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl28577, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (~ (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X1 @ X0) @ X2) @ X0))
% 113.45/16.98 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl28168, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl35167, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (is_a_theorem @
% 113.45/16.98 (implies @ X2 @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)],
% 113.45/16.98 [zip_derived_cl34880, zip_derived_cl28577])).
% 113.45/16.98 thf(zip_derived_cl0, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 113.45/16.98 | ~ (is_a_theorem @ X0)
% 113.45/16.98 | (is_a_theorem @ X1))),
% 113.45/16.98 inference('cnf', [status(esa)], [condensed_detachment])).
% 113.45/16.98 thf(zip_derived_cl36740, plain,
% 113.45/16.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 113.45/16.98 (~ (is_a_theorem @ X2)
% 113.45/16.98 | (is_a_theorem @
% 113.45/16.98 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0)))),
% 113.45/16.98 inference('s_sup-', [status(thm)], [zip_derived_cl35167, zip_derived_cl0])).
% 113.45/16.98 thf(zip_derived_cl228, plain,
% 113.45/16.98 (![X3 : $i]: (is_a_theorem @ (implies @ X3 @ X3))),
% 113.45/16.98 inference('s_sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl7])).
% 113.45/16.98 thf(zip_derived_cl36919, plain,
% 113.45/16.98 (![X1 : $i, X2 : $i]:
% 113.45/16.98 (is_a_theorem @ (implies @ (implies @ (implies @ X1 @ X2) @ X1) @ X1))),
% 113.45/16.98 inference('s_sup+', [status(thm)],
% 113.45/16.98 [zip_derived_cl36740, zip_derived_cl228])).
% 113.45/16.98 thf(zip_derived_cl37386, plain, ($false),
% 113.45/16.98 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl36919])).
% 113.45/16.98
% 113.45/16.98 % SZS output end Refutation
% 113.45/16.98
% 113.45/16.98
% 113.45/16.98 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 113.45/16.98 % Terminating...
% 114.46/17.06 % Runner terminated.
% 114.46/17.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------