%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL076-3 : 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.wBWHOd0uih true
% Computer : n029.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 01:35:08 PM UTC 2026
% Result : Unsatisfiable 0.49s 0.83s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL076-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wBWHOd0uih true
% 0.12/0.37 % Computer : n029.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 4 23:10:09 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.38 % Running in FO mode
% 0.44/0.68 % Total configuration time : 435
% 0.44/0.68 % Estimated wc time : 1092
% 0.44/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.81 % /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/fo5.sh running for 50s
% 0.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.83 % Solved by fo/fo6_bce.sh.
% 0.49/0.83 % BCE start: 6
% 0.49/0.83 % BCE eliminated: 0
% 0.49/0.83 % PE start: 6
% 0.49/0.83 logic: neq
% 0.49/0.83 % PE eliminated: 0
% 0.49/0.83 % done 81 iterations in 0.066s
% 0.49/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.83 % SZS output start Refutation
% 0.49/0.83 thf(not_type, type, not: $i > $i).
% 0.49/0.83 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.49/0.83 thf(implies_type, type, implies: $i > $i > $i).
% 0.49/0.83 thf(a_type, type, a: $i).
% 0.49/0.83 thf(prove_cn_40, conjecture,
% 0.49/0.83 (is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ))).
% 0.49/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.83 (~( is_a_theorem @ ( implies @ a @ ( not @ ( not @ a ) ) ) )),
% 0.49/0.83 inference('cnf.neg', [status(esa)], [prove_cn_40])).
% 0.49/0.83 thf(zip_derived_cl5, plain,
% 0.49/0.83 (~ (is_a_theorem @ (implies @ a @ (not @ (not @ a))))),
% 0.49/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.83 thf(cn_49, axiom,
% 0.49/0.83 (is_a_theorem @
% 0.49/0.83 ( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ))).
% 0.49/0.83 thf(zip_derived_cl3, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @
% 0.49/0.83 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('cnf', [status(esa)], [cn_49])).
% 0.49/0.83 thf(zip_derived_cl3, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @
% 0.49/0.83 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('cnf', [status(esa)], [cn_49])).
% 0.49/0.83 thf(cn_18, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 0.49/0.83 thf(zip_derived_cl1, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('cnf', [status(esa)], [cn_18])).
% 0.49/0.83 thf(transitivity, axiom,
% 0.49/0.83 (( ~( is_a_theorem @ ( implies @ X1 @ X2 ) ) ) |
% 0.49/0.83 ( ~( is_a_theorem @ ( implies @ X2 @ X3 ) ) ) |
% 0.49/0.83 ( is_a_theorem @ ( implies @ X1 @ X3 ) ))).
% 0.49/0.83 thf(zip_derived_cl4, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.83 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.83 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.49/0.83 inference('cnf', [status(esa)], [transitivity])).
% 0.49/0.83 thf(zip_derived_cl11, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.49/0.83 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 0.49/0.83 thf(zip_derived_cl20, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @ (implies @ (not @ X1) @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 0.49/0.83 thf(zip_derived_cl4, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.83 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.83 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.49/0.83 inference('cnf', [status(esa)], [transitivity])).
% 0.49/0.83 thf(zip_derived_cl26, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.49/0.83 | (is_a_theorem @ (implies @ (not @ X1) @ X2)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl4])).
% 0.49/0.83 thf(zip_derived_cl37, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @ (implies @ (not @ (not @ X0)) @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl26])).
% 0.49/0.83 thf(cn_35, axiom,
% 0.49/0.83 (is_a_theorem @
% 0.49/0.83 ( implies @
% 0.49/0.83 ( implies @ X @ ( implies @ Y @ Z ) ) @
% 0.49/0.83 ( implies @ ( implies @ X @ Y ) @ ( implies @ X @ Z ) ) ))).
% 0.49/0.83 thf(zip_derived_cl2, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (is_a_theorem @
% 0.49/0.83 (implies @ (implies @ X0 @ (implies @ X1 @ X2)) @
% 0.49/0.83 (implies @ (implies @ X0 @ X1) @ (implies @ X0 @ X2))))),
% 0.49/0.83 inference('cnf', [status(esa)], [cn_35])).
% 0.49/0.83 thf(condensed_detachment, axiom,
% 0.49/0.83 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 0.49/0.83 ( is_a_theorem @ Y ))).
% 0.49/0.83 thf(zip_derived_cl0, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.83 | ~ (is_a_theorem @ X0)
% 0.49/0.83 | (is_a_theorem @ X1))),
% 0.49/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.83 thf(zip_derived_cl7, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.49/0.83 | (is_a_theorem @
% 0.49/0.83 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.49/0.83 thf(zip_derived_cl11, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 0.49/0.83 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 0.49/0.83 thf(zip_derived_cl24, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.49/0.83 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl11])).
% 0.49/0.83 thf(zip_derived_cl126, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @ (implies @ X1 @ (implies @ (not @ (not @ X0)) @ X0)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl24])).
% 0.49/0.83 thf(zip_derived_cl1, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('cnf', [status(esa)], [cn_18])).
% 0.49/0.83 thf(zip_derived_cl24, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.49/0.83 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl11])).
% 0.49/0.83 thf(zip_derived_cl116, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl24])).
% 0.49/0.83 thf(zip_derived_cl0, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.83 | ~ (is_a_theorem @ X0)
% 0.49/0.83 | (is_a_theorem @ X1))),
% 0.49/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.83 thf(zip_derived_cl130, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 0.49/0.83 thf(zip_derived_cl1, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('cnf', [status(esa)], [cn_18])).
% 0.49/0.83 thf(zip_derived_cl143, plain,
% 0.49/0.83 (![X2 : $i]: (is_a_theorem @ (implies @ X2 @ X2))),
% 0.49/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl1])).
% 0.49/0.83 thf(zip_derived_cl7, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.49/0.83 | (is_a_theorem @
% 0.49/0.83 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.49/0.83 thf(zip_derived_cl0, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.83 | ~ (is_a_theorem @ X0)
% 0.49/0.83 | (is_a_theorem @ X1))),
% 0.49/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.83 thf(zip_derived_cl22, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 0.49/0.83 | ~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.49/0.83 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 0.49/0.83 thf(zip_derived_cl188, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X0 @ (implies @ X0 @ X1)))
% 0.49/0.83 | (is_a_theorem @ (implies @ X0 @ X1)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl22])).
% 0.49/0.83 thf(zip_derived_cl288, plain,
% 0.49/0.83 (![X0 : $i]: (is_a_theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl188])).
% 0.49/0.83 thf(zip_derived_cl3, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (is_a_theorem @
% 0.49/0.83 (implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('cnf', [status(esa)], [cn_49])).
% 0.49/0.83 thf(zip_derived_cl0, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.49/0.83 | ~ (is_a_theorem @ X0)
% 0.49/0.83 | (is_a_theorem @ X1))),
% 0.49/0.83 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.49/0.83 thf(zip_derived_cl18, plain,
% 0.49/0.83 (![X0 : $i, X1 : $i]:
% 0.49/0.83 (~ (is_a_theorem @ (implies @ (not @ X0) @ (not @ X1)))
% 0.49/0.83 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.49/0.83 thf(zip_derived_cl314, plain,
% 0.49/0.83 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 0.49/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl18])).
% 0.49/0.83 thf(zip_derived_cl328, plain, ($false),
% 0.49/0.83 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl314])).
% 0.49/0.83
% 0.49/0.83 % SZS output end Refutation
% 0.49/0.83
% 0.49/0.83
% 0.49/0.83 % Terminating...
% 0.49/0.86 % Runner terminated.
% 0.49/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------