%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL356-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vSRJPGGVQs true
% Computer : n004.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 01:35:45 PM UTC 2026
% Result : Unsatisfiable 0.45s 0.76s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL356-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vSRJPGGVQs true
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 09:17:44 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
% 0.14/0.37 % Python version: Python 3.12.3
% 0.14/0.37 % Running in FO mode
% 0.43/0.64 % Total configuration time : 435
% 0.43/0.64 % Estimated wc time : 1092
% 0.43/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.76 % Solved by fo/fo6_bce.sh.
% 0.45/0.76 % BCE start: 5
% 0.45/0.76 % BCE eliminated: 0
% 0.45/0.76 % PE start: 5
% 0.45/0.76 logic: neq
% 0.45/0.76 % PE eliminated: 0
% 0.45/0.76 % done 30 iterations in 0.030s
% 0.45/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.45/0.76 % SZS output start Refutation
% 0.45/0.76 thf(y_type, type, y: $i).
% 0.45/0.76 thf(u_type, type, u: $i).
% 0.45/0.76 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 0.45/0.76 thf(implies_type, type, implies: $i > $i > $i).
% 0.45/0.76 thf(x_type, type, x: $i).
% 0.45/0.76 thf(z_type, type, z: $i).
% 0.45/0.76 thf(cn_1, axiom,
% 0.45/0.76 (is_a_theorem @
% 0.45/0.76 ( implies @
% 0.45/0.76 ( implies @ X @ Y ) @
% 0.45/0.76 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 0.45/0.76 thf(zip_derived_cl1, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.76 (is_a_theorem @
% 0.45/0.76 (implies @ (implies @ X0 @ X1) @
% 0.45/0.76 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 0.45/0.76 inference('cnf', [status(esa)], [cn_1])).
% 0.45/0.76 thf(condensed_detachment, axiom,
% 0.45/0.76 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 0.45/0.76 ( is_a_theorem @ Y ))).
% 0.45/0.76 thf(zip_derived_cl0, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i]:
% 0.45/0.76 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.45/0.76 | ~ (is_a_theorem @ X0)
% 0.45/0.76 | (is_a_theorem @ X1))),
% 0.45/0.76 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.45/0.76 thf(zip_derived_cl6, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.76 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.45/0.76 | (is_a_theorem @
% 0.45/0.76 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.45/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.45/0.76 thf(zip_derived_cl1, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.76 (is_a_theorem @
% 0.45/0.76 (implies @ (implies @ X0 @ X1) @
% 0.45/0.76 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 0.45/0.76 inference('cnf', [status(esa)], [cn_1])).
% 0.45/0.76 thf(zip_derived_cl6, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.76 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.45/0.76 | (is_a_theorem @
% 0.45/0.76 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 0.45/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.45/0.76 thf(zip_derived_cl0, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i]:
% 0.45/0.76 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 0.45/0.76 | ~ (is_a_theorem @ X0)
% 0.45/0.76 | (is_a_theorem @ X1))),
% 0.45/0.76 inference('cnf', [status(esa)], [condensed_detachment])).
% 0.45/0.76 thf(zip_derived_cl11, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.76 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 0.45/0.76 | ~ (is_a_theorem @ (implies @ X2 @ X0))
% 0.45/0.76 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 0.45/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.45/0.76 thf(zip_derived_cl14, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/0.76 (~ (is_a_theorem @
% 0.45/0.76 (implies @
% 0.45/0.76 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3))
% 0.45/0.76 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))),
% 0.45/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 0.45/0.76 thf(zip_derived_cl21, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.45/0.76 (~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0)))
% 0.45/0.76 | (is_a_theorem @
% 0.45/0.76 (implies @ (implies @ X1 @ X3) @
% 0.45/0.76 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 0.45/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl14])).
% 0.45/0.76 thf(prove_cn_05, conjecture,
% 0.45/0.76 (is_a_theorem @
% 0.45/0.76 ( implies @
% 0.45/0.76 ( implies @ x @ ( implies @ y @ z ) ) @
% 0.45/0.76 ( implies @ ( implies @ u @ y ) @ ( implies @ x @ ( implies @ u @ z ) ) ) ))).
% 0.45/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.45/0.76 (~( is_a_theorem @
% 0.45/0.76 ( implies @
% 0.45/0.76 ( implies @ x @ ( implies @ y @ z ) ) @
% 0.45/0.76 ( implies @
% 0.45/0.76 ( implies @ u @ y ) @ ( implies @ x @ ( implies @ u @ z ) ) ) ) )),
% 0.45/0.76 inference('cnf.neg', [status(esa)], [prove_cn_05])).
% 0.45/0.76 thf(zip_derived_cl4, plain,
% 0.45/0.76 (~ (is_a_theorem @
% 0.45/0.76 (implies @ (implies @ x @ (implies @ y @ z)) @
% 0.45/0.76 (implies @ (implies @ u @ y) @ (implies @ x @ (implies @ u @ z)))))),
% 0.45/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.45/0.76 thf(zip_derived_cl92, plain,
% 0.45/0.76 (~ (is_a_theorem @
% 0.45/0.76 (implies @ (implies @ u @ y) @
% 0.45/0.76 (implies @ (implies @ y @ z) @ (implies @ u @ z))))),
% 0.45/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 0.45/0.76 thf(zip_derived_cl1, plain,
% 0.45/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.45/0.76 (is_a_theorem @
% 0.45/0.76 (implies @ (implies @ X0 @ X1) @
% 0.45/0.76 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 0.45/0.76 inference('cnf', [status(esa)], [cn_1])).
% 0.45/0.76 thf(zip_derived_cl93, plain, ($false),
% 0.45/0.76 inference('demod', [status(thm)], [zip_derived_cl92, zip_derived_cl1])).
% 0.45/0.76
% 0.45/0.76 % SZS output end Refutation
% 0.45/0.76
% 0.45/0.76
% 0.45/0.76 % Terminating...
% 1.38/0.81 % Runner terminated.
% 1.38/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------