%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL087-1 : 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.7vuJwHewqB true
% Computer : n010.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 01:35:10 PM UTC 2026
% Result : Unsatisfiable 0.44s 1.01s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL087-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7vuJwHewqB true
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 5 03:31:53 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.39 % Python version: Python 3.12.3
% 0.11/0.39 % Running in FO mode
% 0.34/0.61 % Total configuration time : 435
% 0.34/0.61 % Estimated wc time : 1092
% 0.34/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.44/1.01 % Solved by fo/fo6_bce.sh.
% 0.44/1.01 % BCE start: 3
% 0.44/1.01 % BCE eliminated: 0
% 0.44/1.01 % PE start: 3
% 0.44/1.01 logic: neq
% 0.44/1.01 % PE eliminated: 0
% 0.44/1.01 % done 127 iterations in 0.312s
% 0.44/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/1.01 % SZS output start Refutation
% 0.44/1.01 thf(b_type, type, b: $i).
% 0.44/1.01 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.44/1.01 thf(implies_type, type, implies: $i > $i > $i).
% 0.44/1.01 thf(a_type, type, a: $i).
% 0.44/1.01 thf(prove_ic_2, conjecture,
% 0.44/1.01 (is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ))).
% 0.44/1.01 thf(zf_stmt_0, negated_conjecture,
% 0.44/1.01 (~( is_a_theorem @ ( implies @ a @ ( implies @ b @ a ) ) )),
% 0.44/1.01 inference('cnf.neg', [status(esa)], [prove_ic_2])).
% 0.44/1.01 thf(zip_derived_cl2, plain,
% 0.44/1.01 (~ (is_a_theorem @ (implies @ a @ (implies @ b @ a)))),
% 0.44/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/1.01 thf(ic_JLukasiewicz_4, axiom,
% 0.44/1.01 (is_a_theorem @
% 0.44/1.01 ( implies @
% 0.44/1.01 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 0.44/1.01 ( implies @ T @ ( implies @ ( implies @ S @ P ) @ ( implies @ R @ P ) ) ) ))).
% 0.44/1.01 thf(zip_derived_cl1, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.44/1.01 (is_a_theorem @
% 0.44/1.01 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 0.44/1.01 (implies @ X4 @
% 0.44/1.01 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 0.44/1.01 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 0.44/1.01 thf(zip_derived_cl1, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.44/1.01 (is_a_theorem @
% 0.44/1.01 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 0.44/1.01 (implies @ X4 @
% 0.44/1.01 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 0.44/1.01 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 0.44/1.01 thf(condensed_detachment, axiom,
% 0.44/1.01 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 0.44/1.01 ( is_a_theorem @ Y ))).
% 0.44/1.01 thf(zip_derived_cl0, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i]:
% 0.44/1.01 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.44/1.01 | ~ (is_a_theorem @ X0)
% 0.44/1.01 | (is_a_theorem @ X1))),
% 0.44/1.01 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.44/1.01 thf(zip_derived_cl3, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.44/1.01 (~ (is_a_theorem @
% 0.44/1.01 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 0.44/1.01 | (is_a_theorem @
% 0.44/1.01 (implies @ X3 @
% 0.44/1.01 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 0.44/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.44/1.01 thf(zip_derived_cl4, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/1.01 (is_a_theorem @
% 0.44/1.01 (implies @ X5 @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.44/1.01 (implies @ X0 @ X4)) @
% 0.44/1.01 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 0.44/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.44/1.01 thf(zip_derived_cl0, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i]:
% 0.44/1.01 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.44/1.01 | ~ (is_a_theorem @ X0)
% 0.44/1.01 | (is_a_theorem @ X1))),
% 0.44/1.01 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.44/1.01 thf(zip_derived_cl5, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/1.01 (~ (is_a_theorem @ X5)
% 0.44/1.01 | (is_a_theorem @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 0.44/1.01 (implies @ X1 @ X0)) @
% 0.44/1.01 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 0.44/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.44/1.01 thf(zip_derived_cl4, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/1.01 (is_a_theorem @
% 0.44/1.01 (implies @ X5 @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.44/1.01 (implies @ X0 @ X4)) @
% 0.44/1.01 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 0.44/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.44/1.01 thf(zip_derived_cl7, plain,
% 0.44/1.01 (![X6 : $i, X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 0.44/1.01 (is_a_theorem @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @ (implies @ X10 @ X7) @ (implies @ X9 @ X7)) @
% 0.44/1.01 (implies @ X7 @ X6)) @
% 0.44/1.01 (implies @ X8 @ (implies @ X7 @ X6))))),
% 0.44/1.01 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 0.44/1.01 thf(zip_derived_cl5, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/1.01 (~ (is_a_theorem @ X5)
% 0.44/1.01 | (is_a_theorem @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 0.44/1.01 (implies @ X1 @ X0)) @
% 0.44/1.01 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 0.44/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.44/1.01 thf(zip_derived_cl0, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i]:
% 0.44/1.01 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.44/1.01 | ~ (is_a_theorem @ X0)
% 0.44/1.01 | (is_a_theorem @ X1))),
% 0.44/1.01 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.44/1.01 thf(zip_derived_cl11, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/1.01 (~ (is_a_theorem @ X5)
% 0.44/1.01 | ~ (is_a_theorem @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 0.44/1.01 (implies @ X1 @ X0)))
% 0.44/1.01 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 0.44/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.44/1.01 thf(zip_derived_cl18, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.44/1.01 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.44/1.01 | ~ (is_a_theorem @
% 0.44/1.01 (implies @
% 0.44/1.01 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 0.44/1.01 (implies @ X1 @ X0))))),
% 0.44/1.01 inference('condensation', [status(thm)], [zip_derived_cl11])).
% 0.44/1.01 thf(zip_derived_cl54, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i, X3 : $i]:
% 0.44/1.01 (is_a_theorem @
% 0.44/1.01 (implies @ X3 @
% 0.44/1.01 (implies @ (implies @ X1 @ X0) @
% 0.44/1.01 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 0.44/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl18])).
% 0.44/1.01 thf(zip_derived_cl0, plain,
% 0.44/1.01 (![X0 : $i, X1 : $i]:
% 0.44/1.01 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.44/1.02 | ~ (is_a_theorem @ X0)
% 0.44/1.02 | (is_a_theorem @ X1))),
% 0.44/1.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.44/1.02 thf(zip_derived_cl87, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/1.02 (~ (is_a_theorem @ X2)
% 0.44/1.02 | (is_a_theorem @
% 0.44/1.02 (implies @ (implies @ X1 @ X0) @
% 0.44/1.02 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl0])).
% 0.44/1.02 thf(zip_derived_cl4, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/1.02 (is_a_theorem @
% 0.44/1.02 (implies @ X5 @
% 0.44/1.02 (implies @
% 0.44/1.02 (implies @
% 0.44/1.02 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.44/1.02 (implies @ X0 @ X4)) @
% 0.44/1.02 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.44/1.02 thf(zip_derived_cl387, plain,
% 0.44/1.02 (![X6 : $i, X7 : $i]:
% 0.44/1.02 (is_a_theorem @
% 0.44/1.02 (implies @ (implies @ X7 @ X6) @
% 0.44/1.02 (implies @ X6 @ (implies @ X7 @ X6))))),
% 0.44/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl4])).
% 0.44/1.02 thf(zip_derived_cl3, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.44/1.02 (~ (is_a_theorem @
% 0.44/1.02 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 0.44/1.02 | (is_a_theorem @
% 0.44/1.02 (implies @ X3 @
% 0.44/1.02 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.44/1.02 thf(zip_derived_cl513, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/1.02 (is_a_theorem @
% 0.44/1.02 (implies @ X2 @
% 0.44/1.02 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 0.44/1.02 (implies @ X0 @ X1))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl3])).
% 0.44/1.02 thf(zip_derived_cl0, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i]:
% 0.44/1.02 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.44/1.02 | ~ (is_a_theorem @ X0)
% 0.44/1.02 | (is_a_theorem @ X1))),
% 0.44/1.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.44/1.02 thf(zip_derived_cl552, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/1.02 (~ (is_a_theorem @ X2)
% 0.44/1.02 | (is_a_theorem @
% 0.44/1.02 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @
% 0.44/1.02 (implies @ X1 @ X0))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl513, zip_derived_cl0])).
% 0.44/1.02 thf(zip_derived_cl4, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/1.02 (is_a_theorem @
% 0.44/1.02 (implies @ X5 @
% 0.44/1.02 (implies @
% 0.44/1.02 (implies @
% 0.44/1.02 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.44/1.02 (implies @ X0 @ X4)) @
% 0.44/1.02 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.44/1.02 thf(zip_derived_cl570, plain,
% 0.44/1.02 (![X6 : $i, X7 : $i]:
% 0.44/1.02 (is_a_theorem @
% 0.44/1.02 (implies @ (implies @ (implies @ X6 @ X7) @ X6) @
% 0.44/1.02 (implies @ X7 @ X6)))),
% 0.44/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl552, zip_derived_cl4])).
% 0.44/1.02 thf(zip_derived_cl18, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.44/1.02 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 0.44/1.02 | ~ (is_a_theorem @
% 0.44/1.02 (implies @
% 0.44/1.02 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 0.44/1.02 (implies @ X1 @ X0))))),
% 0.44/1.02 inference('condensation', [status(thm)], [zip_derived_cl11])).
% 0.44/1.02 thf(zip_derived_cl1105, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/1.02 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl18])).
% 0.44/1.02 thf(zip_derived_cl0, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i]:
% 0.44/1.02 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.44/1.02 | ~ (is_a_theorem @ X0)
% 0.44/1.02 | (is_a_theorem @ X1))),
% 0.44/1.02 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.44/1.02 thf(zip_derived_cl1180, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/1.02 (~ (is_a_theorem @ X2)
% 0.44/1.02 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl1105, zip_derived_cl0])).
% 0.44/1.02 thf(zip_derived_cl4, plain,
% 0.44/1.02 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.44/1.02 (is_a_theorem @
% 0.44/1.02 (implies @ X5 @
% 0.44/1.02 (implies @
% 0.44/1.02 (implies @
% 0.44/1.02 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 0.44/1.02 (implies @ X0 @ X4)) @
% 0.44/1.02 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 0.44/1.02 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 0.44/1.02 thf(zip_derived_cl1214, plain,
% 0.44/1.02 (![X6 : $i, X7 : $i]:
% 0.44/1.02 (is_a_theorem @ (implies @ X6 @ (implies @ X7 @ X6)))),
% 0.44/1.02 inference('s_sup+', [status(thm)], [zip_derived_cl1180, zip_derived_cl4])).
% 0.44/1.02 thf(zip_derived_cl1283, plain, ($false),
% 0.44/1.02 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl1214])).
% 0.44/1.02
% 0.44/1.02 % SZS output end Refutation
% 0.44/1.02
% 0.44/1.02
% 0.44/1.02 % Terminating...
% 3.45/1.06 % Runner terminated.
% 3.45/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------