%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.adi6WC2P8f true
% Computer : n027.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 3.19s 1.18s
% Output : Refutation 3.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.adi6WC2P8f true
% 0.10/0.42 % Computer : n027.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8046.5625MB
% 0.10/0.42 % OS : Linux 6.8.0-71-generic
% 0.10/0.43 % CPULimit : 300
% 0.10/0.43 % WCLimit : 300
% 0.10/0.43 % DateTime : Fri Sep 4 12:34:12 UTC 2026
% 0.10/0.43 % CPUTime :
% 0.10/0.43 % Running portfolio for 300 s
% 0.10/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43 % Number of cores: 8
% 0.10/0.43 % Python version: Python 3.12.3
% 0.10/0.44 % Running in FO mode
% 0.27/0.72 % Total configuration time : 435
% 0.27/0.72 % Estimated wc time : 1092
% 0.27/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.27/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.28/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.28/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.28/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.28/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.28/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.28/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.19/1.18 % Solved by fo/fo6_bce.sh.
% 3.19/1.18 % BCE start: 6
% 3.19/1.18 % BCE eliminated: 0
% 3.19/1.18 % PE start: 6
% 3.19/1.18 logic: neq
% 3.19/1.18 % PE eliminated: 0
% 3.19/1.18 % done 352 iterations in 0.370s
% 3.19/1.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.19/1.18 % SZS output start Refutation
% 3.19/1.18 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 3.19/1.18 thf(implies_type, type, implies: $i > $i > $i).
% 3.19/1.18 thf(a_type, type, a: $i).
% 3.19/1.18 thf(falsehood_type, type, falsehood: $i).
% 3.19/1.18 thf(prove_c0_5, conjecture,
% 3.19/1.18 (is_a_theorem @
% 3.19/1.18 ( implies @ ( implies @ ( implies @ a @ falsehood ) @ falsehood ) @ a ))).
% 3.19/1.18 thf(zf_stmt_0, negated_conjecture,
% 3.19/1.18 (~( is_a_theorem @
% 3.19/1.18 ( implies @ ( implies @ ( implies @ a @ falsehood ) @ falsehood ) @ a ) )),
% 3.19/1.18 inference('cnf.neg', [status(esa)], [prove_c0_5])).
% 3.19/1.18 thf(zip_derived_cl5, plain,
% 3.19/1.18 (~ (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ (implies @ a @ falsehood) @ falsehood) @ a))),
% 3.19/1.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.19/1.18 thf(c0_3, axiom,
% 3.19/1.18 (is_a_theorem @ ( implies @ ( implies @ ( implies @ X @ Y ) @ X ) @ X ))).
% 3.19/1.18 thf(zip_derived_cl3, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))),
% 3.19/1.18 inference('cnf', [status(esa)], [c0_3])).
% 3.19/1.18 thf(c0_2, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 3.19/1.18 thf(zip_derived_cl2, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('cnf', [status(esa)], [c0_2])).
% 3.19/1.18 thf(c0_1, axiom,
% 3.19/1.18 (is_a_theorem @
% 3.19/1.18 ( implies @
% 3.19/1.18 ( implies @ X @ Y ) @
% 3.19/1.18 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 3.19/1.18 thf(zip_derived_cl1, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ X0 @ X1) @
% 3.19/1.18 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 3.19/1.18 inference('cnf', [status(esa)], [c0_1])).
% 3.19/1.18 thf(condensed_detachment, axiom,
% 3.19/1.18 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 3.19/1.18 ( is_a_theorem @ Y ))).
% 3.19/1.18 thf(zip_derived_cl0, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 3.19/1.18 | ~ (is_a_theorem @ X0)
% 3.19/1.18 | (is_a_theorem @ X1))),
% 3.19/1.18 inference('cnf', [status(esa)], [condensed_detachment])).
% 3.19/1.18 thf(zip_derived_cl12, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl3, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))),
% 3.19/1.18 inference('cnf', [status(esa)], [c0_3])).
% 3.19/1.18 thf(zip_derived_cl0, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 3.19/1.18 | ~ (is_a_theorem @ X0)
% 3.19/1.18 | (is_a_theorem @ X1))),
% 3.19/1.18 inference('cnf', [status(esa)], [condensed_detachment])).
% 3.19/1.18 thf(zip_derived_cl11, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X0))
% 3.19/1.18 | (is_a_theorem @ X0))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl15, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 3.19/1.18 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 3.19/1.18 thf(zip_derived_cl25, plain,
% 3.19/1.18 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 3.19/1.18 thf(c0_4, axiom, (is_a_theorem @ ( implies @ falsehood @ X ))).
% 3.19/1.18 thf(zip_derived_cl4, plain,
% 3.19/1.18 (![X0 : $i]: (is_a_theorem @ (implies @ falsehood @ X0))),
% 3.19/1.18 inference('cnf', [status(esa)], [c0_4])).
% 3.19/1.18 thf(zip_derived_cl12, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl12, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl0, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 3.19/1.18 | ~ (is_a_theorem @ X0)
% 3.19/1.18 | (is_a_theorem @ X1))),
% 3.19/1.18 inference('cnf', [status(esa)], [condensed_detachment])).
% 3.19/1.18 thf(zip_derived_cl14, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 3.19/1.18 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl20, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3))
% 3.19/1.18 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl14])).
% 3.19/1.18 thf(zip_derived_cl75, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ (implies @ falsehood @ X2) @ X1))
% 3.19/1.18 | (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X1)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 3.19/1.18 thf(zip_derived_cl77, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ X1 @ X0) @ (implies @ falsehood @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl75])).
% 3.19/1.18 thf(zip_derived_cl3, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))),
% 3.19/1.18 inference('cnf', [status(esa)], [c0_3])).
% 3.19/1.18 thf(zip_derived_cl2, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('cnf', [status(esa)], [c0_2])).
% 3.19/1.18 thf(zip_derived_cl0, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 3.19/1.18 | ~ (is_a_theorem @ X0)
% 3.19/1.18 | (is_a_theorem @ X1))),
% 3.19/1.18 inference('cnf', [status(esa)], [condensed_detachment])).
% 3.19/1.18 thf(zip_derived_cl6, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl14, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 3.19/1.18 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl16, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ X0)
% 3.19/1.18 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 3.19/1.18 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 3.19/1.18 thf(zip_derived_cl41, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X0))
% 3.19/1.18 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl16])).
% 3.19/1.18 thf(zip_derived_cl87, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @ (implies @ X1 @ (implies @ falsehood @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl41])).
% 3.19/1.18 thf(zip_derived_cl12, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl15, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 3.19/1.18 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl11])).
% 3.19/1.18 thf(zip_derived_cl27, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X1))
% 3.19/1.18 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl15])).
% 3.19/1.18 thf(zip_derived_cl114, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ (implies @ falsehood @ X0) @ X1) @ X1))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl27])).
% 3.19/1.18 thf(zip_derived_cl14, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 3.19/1.18 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl125, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X0 @ X2))
% 3.19/1.18 | (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ (implies @ falsehood @ X1) @ X0) @ X2)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl114, zip_derived_cl14])).
% 3.19/1.18 thf(zip_derived_cl1, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ X0 @ X1) @
% 3.19/1.18 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 3.19/1.18 inference('cnf', [status(esa)], [c0_1])).
% 3.19/1.18 thf(zip_derived_cl14, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 3.19/1.18 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 3.19/1.18 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 3.19/1.18 thf(zip_derived_cl19, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.19/1.18 (~ (is_a_theorem @
% 3.19/1.18 (implies @
% 3.19/1.18 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 3.19/1.18 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])).
% 3.19/1.18 thf(zip_derived_cl1161, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.19/1.18 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 3.19/1.18 | (is_a_theorem @ (implies @ (implies @ X2 @ falsehood) @ X0)))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl19])).
% 3.19/1.18 thf(zip_derived_cl1769, plain,
% 3.19/1.18 (![X0 : $i, X1 : $i]:
% 3.19/1.18 (is_a_theorem @
% 3.19/1.18 (implies @ (implies @ (implies @ X0 @ X1) @ falsehood) @ X0))),
% 3.19/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1161])).
% 3.19/1.18 thf(zip_derived_cl1798, plain, ($false),
% 3.19/1.18 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1769])).
% 3.19/1.18
% 3.19/1.18 % SZS output end Refutation
% 3.19/1.18
% 3.19/1.18
% 3.19/1.18 % Terminating...
% 1.81/1.21 % Runner terminated.
% 1.81/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------