%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL086-1 : 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.uqHiUWBgtG true
% Computer : n015.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 2.85s 1.05s
% Output : Refutation 2.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL086-1 : 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.uqHiUWBgtG true
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 07:08:27 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
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.44/0.66 % Total configuration time : 435
% 0.44/0.66 % Estimated wc time : 1092
% 0.44/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 2.85/1.05 % Solved by fo/fo13.sh.
% 2.85/1.05 % done 85 iterations in 0.225s
% 2.85/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.85/1.05 % SZS output start Refutation
% 2.85/1.05 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 2.85/1.05 thf(implies_type, type, implies: $i > $i > $i).
% 2.85/1.05 thf(a_type, type, a: $i).
% 2.85/1.05 thf(prove_ic_1, conjecture, (is_a_theorem @ ( implies @ a @ a ))).
% 2.85/1.05 thf(zf_stmt_0, negated_conjecture, (~( is_a_theorem @ ( implies @ a @ a ) )),
% 2.85/1.05 inference('cnf.neg', [status(esa)], [prove_ic_1])).
% 2.85/1.05 thf(zip_derived_cl2, plain, (~ (is_a_theorem @ (implies @ a @ a))),
% 2.85/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.85/1.05 thf(ic_JLukasiewicz_4, axiom,
% 2.85/1.05 (is_a_theorem @
% 2.85/1.05 ( implies @
% 2.85/1.05 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 2.85/1.05 ( implies @ T @ ( implies @ ( implies @ S @ P ) @ ( implies @ R @ P ) ) ) ))).
% 2.85/1.05 thf(zip_derived_cl1, plain,
% 2.85/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.05 (is_a_theorem @
% 2.85/1.05 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 2.85/1.05 (implies @ X4 @
% 2.85/1.06 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 2.85/1.06 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 2.85/1.06 thf(condensed_detachment, axiom,
% 2.85/1.06 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 2.85/1.06 ( is_a_theorem @ Y ))).
% 2.85/1.06 thf(zip_derived_cl0, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.85/1.06 | ~ (is_a_theorem @ X0)
% 2.85/1.06 | (is_a_theorem @ X1))),
% 2.85/1.06 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.85/1.06 thf(zip_derived_cl3, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 2.85/1.06 | (is_a_theorem @
% 2.85/1.06 (implies @ X3 @
% 2.85/1.06 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 2.85/1.06 thf(zip_derived_cl0, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.85/1.06 | ~ (is_a_theorem @ X0)
% 2.85/1.06 | (is_a_theorem @ X1))),
% 2.85/1.06 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.85/1.06 thf(zip_derived_cl7, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2)))
% 2.85/1.06 | ~ (is_a_theorem @ X3)
% 2.85/1.06 | (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 2.85/1.06 thf(zip_derived_cl12, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 2.85/1.06 | (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 2.85/1.06 inference('condensation', [status(thm)], [zip_derived_cl7])).
% 2.85/1.06 thf(zip_derived_cl1, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.06 (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 2.85/1.06 (implies @ X4 @
% 2.85/1.06 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 2.85/1.06 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 2.85/1.06 thf(zip_derived_cl15, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.06 (is_a_theorem @
% 2.85/1.06 (implies @
% 2.85/1.06 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 2.85/1.06 (implies @ X0 @ X4)) @
% 2.85/1.06 (implies @ X3 @ (implies @ X0 @ X4))))),
% 2.85/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 2.85/1.06 thf(zip_derived_cl0, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.85/1.06 | ~ (is_a_theorem @ X0)
% 2.85/1.06 | (is_a_theorem @ X1))),
% 2.85/1.06 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.85/1.06 thf(zip_derived_cl62, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @
% 2.85/1.06 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 2.85/1.06 (implies @ X1 @ X0)))
% 2.85/1.06 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 2.85/1.06 thf(zip_derived_cl0, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.85/1.06 | ~ (is_a_theorem @ X0)
% 2.85/1.06 | (is_a_theorem @ X1))),
% 2.85/1.06 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.85/1.06 thf(zip_derived_cl84, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @
% 2.85/1.06 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 2.85/1.06 (implies @ X1 @ X0)))
% 2.85/1.06 | ~ (is_a_theorem @ X2)
% 2.85/1.06 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl0])).
% 2.85/1.06 thf(zip_derived_cl155, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @
% 2.85/1.06 (implies @ (implies @ X3 @ X1) @ (implies @ X2 @ X1)) @
% 2.85/1.06 (implies @ X1 @ X0)))
% 2.85/1.06 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 2.85/1.06 inference('condensation', [status(thm)], [zip_derived_cl84])).
% 2.85/1.06 thf(zip_derived_cl12, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 2.85/1.06 | (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 2.85/1.06 inference('condensation', [status(thm)], [zip_derived_cl7])).
% 2.85/1.06 thf(zip_derived_cl166, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.85/1.06 ( (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 2.85/1.06 | ~ (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 2.85/1.06 (implies @ X0 @ (implies @ X2 @ X0)))))),
% 2.85/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl12])).
% 2.85/1.06 thf(zip_derived_cl155, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @
% 2.85/1.06 (implies @ (implies @ X3 @ X1) @ (implies @ X2 @ X1)) @
% 2.85/1.06 (implies @ X1 @ X0)))
% 2.85/1.06 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 2.85/1.06 inference('condensation', [status(thm)], [zip_derived_cl84])).
% 2.85/1.06 thf(zip_derived_cl62, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @
% 2.85/1.06 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 2.85/1.06 (implies @ X1 @ X0)))
% 2.85/1.06 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 2.85/1.06 thf(zip_derived_cl15, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.85/1.06 (is_a_theorem @
% 2.85/1.06 (implies @
% 2.85/1.06 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 2.85/1.06 (implies @ X0 @ X4)) @
% 2.85/1.06 (implies @ X3 @ (implies @ X0 @ X4))))),
% 2.85/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 2.85/1.06 thf(zip_derived_cl81, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X3 : $i]:
% 2.85/1.06 (is_a_theorem @
% 2.85/1.06 (implies @ X3 @
% 2.85/1.06 (implies @ (implies @ X1 @ X0) @
% 2.85/1.06 (implies @ X0 @ (implies @ X1 @ X0)))))),
% 2.85/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl15])).
% 2.85/1.06 thf(zip_derived_cl164, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X1 @ X0) @
% 2.85/1.06 (implies @ X0 @ (implies @ X1 @ X0))))),
% 2.85/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl155, zip_derived_cl81])).
% 2.85/1.06 thf(zip_derived_cl344, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 2.85/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl166, zip_derived_cl164])).
% 2.85/1.06 thf(zip_derived_cl12, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.85/1.06 (~ (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ X0)))
% 2.85/1.06 | (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ X0 @ X3) @ (implies @ X1 @ X3))))),
% 2.85/1.06 inference('condensation', [status(thm)], [zip_derived_cl7])).
% 2.85/1.06 thf(zip_derived_cl367, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.85/1.06 (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 2.85/1.06 (implies @ X2 @ X1)))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl12])).
% 2.85/1.06 thf(zip_derived_cl0, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.85/1.06 | ~ (is_a_theorem @ X0)
% 2.85/1.06 | (is_a_theorem @ X1))),
% 2.85/1.06 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.85/1.06 thf(zip_derived_cl422, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X0))
% 2.85/1.06 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl0])).
% 2.85/1.06 thf(zip_derived_cl0, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 2.85/1.06 | ~ (is_a_theorem @ X0)
% 2.85/1.06 | (is_a_theorem @ X1))),
% 2.85/1.06 inference('cnf', [status(esa)], [condensed_detachment])).
% 2.85/1.06 thf(zip_derived_cl472, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X0))
% 2.85/1.06 | ~ (is_a_theorem @ X1)
% 2.85/1.06 | (is_a_theorem @ X0))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl422, zip_derived_cl0])).
% 2.85/1.06 thf(zip_derived_cl505, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i]:
% 2.85/1.06 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X0))
% 2.85/1.06 | (is_a_theorem @ X0))),
% 2.85/1.06 inference('condensation', [status(thm)], [zip_derived_cl472])).
% 2.85/1.06 thf(zip_derived_cl367, plain,
% 2.85/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.85/1.06 (is_a_theorem @
% 2.85/1.06 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 2.85/1.06 (implies @ X2 @ X1)))),
% 2.85/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl12])).
% 2.85/1.06 thf(zip_derived_cl529, plain,
% 2.85/1.06 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 2.85/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl505, zip_derived_cl367])).
% 2.85/1.06 thf(zip_derived_cl546, plain, ($false),
% 2.85/1.06 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl529])).
% 2.85/1.06
% 2.85/1.06 % SZS output end Refutation
% 2.85/1.06
% 2.85/1.06
% 2.85/1.06 % Terminating...
% 2.85/1.11 % Runner terminated.
% 2.85/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------