%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL428-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mHdIXdFdOk true
% Computer : n028.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 01:35:55 PM UTC 2026
% Result : Unsatisfiable 10.69s 2.17s
% Output : Refutation 10.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL428-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mHdIXdFdOk true
% 0.10/0.37 % Computer : n028.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 22:05:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.39 % Running in FO mode
% 0.46/0.67 % Total configuration time : 435
% 0.46/0.67 % Estimated wc time : 1092
% 0.46/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.69/2.17 % Solved by fo/fo4.sh.
% 10.69/2.17 % done 986 iterations in 1.336s
% 10.69/2.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.69/2.17 % SZS output start Refutation
% 10.69/2.17 thf(v12_type, type, v12: $i).
% 10.69/2.17 thf(v16_type, type, v16: $i).
% 10.69/2.17 thf(v14_type, type, v14: $i).
% 10.69/2.17 thf(v9_type, type, v9: $i).
% 10.69/2.17 thf(y_type, type, y: $i).
% 10.69/2.17 thf(v13_type, type, v13: $i).
% 10.69/2.17 thf(v8_type, type, v8: $i).
% 10.69/2.17 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 10.69/2.17 thf(implies_type, type, implies: $i > $i > $i).
% 10.69/2.17 thf(u_type, type, u: $i).
% 10.69/2.17 thf(v15_type, type, v15: $i).
% 10.69/2.17 thf(x_type, type, x: $i).
% 10.69/2.17 thf(v10_type, type, v10: $i).
% 10.69/2.17 thf(w_type, type, w: $i).
% 10.69/2.17 thf(v_type, type, v: $i).
% 10.69/2.17 thf(v7_type, type, v7: $i).
% 10.69/2.17 thf(z_type, type, z: $i).
% 10.69/2.17 thf(v11_type, type, v11: $i).
% 10.69/2.17 thf(v6_type, type, v6: $i).
% 10.69/2.17 thf(mv2, axiom,
% 10.69/2.17 (is_a_theorem @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ A @ B ) @
% 10.69/2.17 ( implies @ ( implies @ B @ C ) @ ( implies @ A @ C ) ) ))).
% 10.69/2.17 thf(zip_derived_cl2, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (is_a_theorem @
% 10.69/2.17 (implies @ (implies @ X0 @ X1) @
% 10.69/2.17 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 10.69/2.17 inference('cnf', [status(esa)], [mv2])).
% 10.69/2.17 thf(condensed_detachment, axiom,
% 10.69/2.17 (( ~( is_a_theorem @ ( implies @ A @ B ) ) ) | ( ~( is_a_theorem @ A ) ) |
% 10.69/2.17 ( is_a_theorem @ B ))).
% 10.69/2.17 thf(zip_derived_cl0, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0)
% 10.69/2.17 | (is_a_theorem @ X1))),
% 10.69/2.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.69/2.17 thf(zip_derived_cl7, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 ( (is_a_theorem @
% 10.69/2.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 10.69/2.17 thf(mv3, axiom,
% 10.69/2.17 (is_a_theorem @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ ( implies @ A @ B ) @ B ) @
% 10.69/2.17 ( implies @ ( implies @ B @ A ) @ A ) ))).
% 10.69/2.17 thf(zip_derived_cl3, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (is_a_theorem @
% 10.69/2.17 (implies @ (implies @ (implies @ X0 @ X1) @ X1) @
% 10.69/2.17 (implies @ (implies @ X1 @ X0) @ X0)))),
% 10.69/2.17 inference('cnf', [status(esa)], [mv3])).
% 10.69/2.17 thf(mv1, axiom, (is_a_theorem @ ( implies @ A @ ( implies @ B @ A ) ))).
% 10.69/2.17 thf(zip_derived_cl1, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 10.69/2.17 inference('cnf', [status(esa)], [mv1])).
% 10.69/2.17 thf(zip_derived_cl7, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 ( (is_a_theorem @
% 10.69/2.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X1 @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 10.69/2.17 thf(zip_derived_cl0, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0)
% 10.69/2.17 | (is_a_theorem @ X1))),
% 10.69/2.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.69/2.17 thf(zip_derived_cl27, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ X1 @ X0))
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X2 @ X0)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 10.69/2.17 thf(zip_derived_cl35, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ X0 @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 10.69/2.17 thf(zip_derived_cl59, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (is_a_theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl35])).
% 10.69/2.17 thf(zip_derived_cl27, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ X1 @ X0))
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X2 @ X0)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 10.69/2.17 thf(zip_derived_cl131, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @
% 10.69/2.17 (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ X1 @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl27])).
% 10.69/2.17 thf(zip_derived_cl158, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 10.69/2.17 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl131])).
% 10.69/2.17 thf(zip_derived_cl3, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (is_a_theorem @
% 10.69/2.17 (implies @ (implies @ (implies @ X0 @ X1) @ X1) @
% 10.69/2.17 (implies @ (implies @ X1 @ X0) @ X0)))),
% 10.69/2.17 inference('cnf', [status(esa)], [mv3])).
% 10.69/2.17 thf(zip_derived_cl0, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0)
% 10.69/2.17 | (is_a_theorem @ X1))),
% 10.69/2.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.69/2.17 thf(zip_derived_cl8, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 ( (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0))
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 10.69/2.17 thf(zip_derived_cl1, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 10.69/2.17 inference('cnf', [status(esa)], [mv1])).
% 10.69/2.17 thf(zip_derived_cl0, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0)
% 10.69/2.17 | (is_a_theorem @ X1))),
% 10.69/2.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 10.69/2.17 thf(zip_derived_cl6, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 ( (is_a_theorem @ (implies @ X1 @ X0)) | ~ (is_a_theorem @ X0))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 10.69/2.17 thf(zip_derived_cl16, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 ( (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0))),
% 10.69/2.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 10.69/2.17 thf(zip_derived_cl16, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 ( (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0))),
% 10.69/2.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 10.69/2.17 thf(zip_derived_cl27, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ X1 @ X0))
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X2 @ X0)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 10.69/2.17 thf(zip_derived_cl36, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ X1)
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl27])).
% 10.69/2.17 thf(zip_derived_cl16, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 ( (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0))),
% 10.69/2.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 10.69/2.17 thf(zip_derived_cl36, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ X1)
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl27])).
% 10.69/2.17 thf(zip_derived_cl16, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 ( (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0))),
% 10.69/2.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 10.69/2.17 thf(zip_derived_cl36, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ X1)
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl27])).
% 10.69/2.17 thf(zip_derived_cl16, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 ( (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1))
% 10.69/2.17 | ~ (is_a_theorem @ X0))),
% 10.69/2.17 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 10.69/2.17 thf(zip_derived_cl36, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ X1)
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl27])).
% 10.69/2.17 thf(zip_derived_cl36, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.17 (~ (is_a_theorem @ X1)
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ X0 @ X2))
% 10.69/2.17 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl27])).
% 10.69/2.17 thf(prove_hr, conjecture,
% 10.69/2.17 (is_a_theorem @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ x @ ( implies @ y @ x ) ) @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ z @ u ) @
% 10.69/2.17 ( implies @ ( implies @ v @ z ) @ ( implies @ v @ u ) ) ) @
% 10.69/2.17 ( implies @ ( implies @ w @ ( implies @ v6 @ w ) ) @ v7 ) ) @
% 10.69/2.17 v7 ) @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ ( implies @ v8 @ v9 ) @ v9 ) @
% 10.69/2.17 ( implies @ ( implies @ v9 @ v8 ) @ v8 ) ) @
% 10.69/2.17 v10 ) ) @
% 10.69/2.17 v10 ) @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ v11 @ v12 ) @ ( implies @ v12 @ v11 ) ) @
% 10.69/2.17 ( implies @ v12 @ v11 ) ) @
% 10.69/2.17 v13 ) ) @
% 10.69/2.17 v13 ) @
% 10.69/2.17 ( implies @ ( implies @ v14 @ ( implies @ v15 @ v14 ) ) @ v16 ) ) ) @
% 10.69/2.17 v16 ))).
% 10.69/2.17 thf(zf_stmt_0, negated_conjecture,
% 10.69/2.17 (~( is_a_theorem @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ x @ ( implies @ y @ x ) ) @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ z @ u ) @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ v @ z ) @ ( implies @ v @ u ) ) ) @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ w @ ( implies @ v6 @ w ) ) @ v7 ) ) @
% 10.69/2.17 v7 ) @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ ( implies @ v8 @ v9 ) @ v9 ) @
% 10.69/2.17 ( implies @ ( implies @ v9 @ v8 ) @ v8 ) ) @
% 10.69/2.17 v10 ) ) @
% 10.69/2.17 v10 ) @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ v11 @ v12 ) @ ( implies @ v12 @ v11 ) ) @
% 10.69/2.17 ( implies @ v12 @ v11 ) ) @
% 10.69/2.17 v13 ) ) @
% 10.69/2.17 v13 ) @
% 10.69/2.17 ( implies @ ( implies @ v14 @ ( implies @ v15 @ v14 ) ) @ v16 ) ) ) @
% 10.69/2.17 v16 ) )),
% 10.69/2.17 inference('cnf.neg', [status(esa)], [prove_hr])).
% 10.69/2.17 thf(zip_derived_cl5, plain,
% 10.69/2.17 (~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ x @ (implies @ y @ x)) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v11 @ v12) @ (implies @ v12 @ v11)) @
% 10.69/2.17 (implies @ v12 @ v11)) @
% 10.69/2.17 v13)) @
% 10.69/2.17 v13) @
% 10.69/2.17 (implies @ (implies @ v14 @ (implies @ v15 @ v14)) @ v16))) @
% 10.69/2.17 v16))),
% 10.69/2.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.69/2.17 thf(zip_derived_cl243, plain,
% 10.69/2.17 ((~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v11 @ v12) @ (implies @ v12 @ v11)) @
% 10.69/2.17 (implies @ v12 @ v11)) @
% 10.69/2.17 v13)) @
% 10.69/2.17 v13) @
% 10.69/2.17 (implies @ (implies @ v14 @ (implies @ v15 @ v14)) @ v16)) @
% 10.69/2.17 v16))
% 10.69/2.17 | ~ (is_a_theorem @ (implies @ x @ (implies @ y @ x))))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl5])).
% 10.69/2.17 thf(zip_derived_cl1, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 10.69/2.17 inference('cnf', [status(esa)], [mv1])).
% 10.69/2.17 thf(zip_derived_cl250, plain,
% 10.69/2.17 (~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v11 @ v12) @ (implies @ v12 @ v11)) @
% 10.69/2.17 (implies @ v12 @ v11)) @
% 10.69/2.17 v13)) @
% 10.69/2.17 v13) @
% 10.69/2.17 (implies @ (implies @ v14 @ (implies @ v15 @ v14)) @ v16)) @
% 10.69/2.17 v16))),
% 10.69/2.17 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl1])).
% 10.69/2.17 thf(zip_derived_cl252, plain,
% 10.69/2.17 ((~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v14 @ (implies @ v15 @ v14)) @ v16) @ v16))
% 10.69/2.17 | ~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v11 @ v12) @ (implies @ v12 @ v11)) @
% 10.69/2.17 (implies @ v12 @ v11)) @
% 10.69/2.17 v13)) @
% 10.69/2.17 v13)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl250])).
% 10.69/2.17 thf(zip_derived_cl254, plain,
% 10.69/2.17 ((~ (is_a_theorem @ (implies @ v14 @ (implies @ v15 @ v14)))
% 10.69/2.17 | ~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v11 @ v12) @ (implies @ v12 @ v11)) @
% 10.69/2.17 (implies @ v12 @ v11)) @
% 10.69/2.17 v13)) @
% 10.69/2.17 v13)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl252])).
% 10.69/2.17 thf(zip_derived_cl1, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 10.69/2.17 inference('cnf', [status(esa)], [mv1])).
% 10.69/2.17 thf(zip_derived_cl257, plain,
% 10.69/2.17 (~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v11 @ v12) @ (implies @ v12 @ v11)) @
% 10.69/2.17 (implies @ v12 @ v11)) @
% 10.69/2.17 v13)) @
% 10.69/2.17 v13))),
% 10.69/2.17 inference('demod', [status(thm)], [zip_derived_cl254, zip_derived_cl1])).
% 10.69/2.17 thf(zip_derived_cl260, plain,
% 10.69/2.17 ((~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v11 @ v12) @ (implies @ v12 @ v11)) @
% 10.69/2.17 (implies @ v12 @ v11)) @
% 10.69/2.17 v13) @
% 10.69/2.17 v13))
% 10.69/2.17 | ~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl257])).
% 10.69/2.17 thf(zip_derived_cl262, plain,
% 10.69/2.17 ((~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ v11 @ v12) @ (implies @ v12 @ v11)) @
% 10.69/2.17 (implies @ v12 @ v11)))
% 10.69/2.17 | ~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10)))),
% 10.69/2.17 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl260])).
% 10.69/2.17 thf(mv5, axiom,
% 10.69/2.17 (is_a_theorem @
% 10.69/2.17 ( implies @
% 10.69/2.17 ( implies @ ( implies @ X @ Y ) @ ( implies @ Y @ X ) ) @
% 10.69/2.17 ( implies @ Y @ X ) ))).
% 10.69/2.17 thf(zip_derived_cl4, plain,
% 10.69/2.17 (![X0 : $i, X1 : $i]:
% 10.69/2.17 (is_a_theorem @
% 10.69/2.17 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)) @
% 10.69/2.17 (implies @ X1 @ X0)))),
% 10.69/2.17 inference('cnf', [status(esa)], [mv5])).
% 10.69/2.17 thf(zip_derived_cl265, plain,
% 10.69/2.17 (~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ z @ u) @
% 10.69/2.17 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.17 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.17 v7) @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10)) @
% 10.69/2.17 v10))),
% 10.69/2.17 inference('demod', [status(thm)], [zip_derived_cl262, zip_derived_cl4])).
% 10.69/2.17 thf(zip_derived_cl268, plain,
% 10.69/2.17 ((~ (is_a_theorem @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @
% 10.69/2.17 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.17 (implies @ (implies @ v9 @ v8) @ v8)) @
% 10.69/2.17 v10) @
% 10.69/2.17 v10))
% 10.69/2.17 | ~ (is_a_theorem @
% 10.69/2.18 (implies @
% 10.69/2.18 (implies @
% 10.69/2.18 (implies @ (implies @ z @ u) @
% 10.69/2.18 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.18 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.18 v7)))),
% 10.69/2.18 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl265])).
% 10.69/2.18 thf(zip_derived_cl283, plain,
% 10.69/2.18 ((~ (is_a_theorem @
% 10.69/2.18 (implies @ (implies @ (implies @ v8 @ v9) @ v9) @
% 10.69/2.18 (implies @ (implies @ v9 @ v8) @ v8)))
% 10.69/2.18 | ~ (is_a_theorem @
% 10.69/2.18 (implies @
% 10.69/2.18 (implies @
% 10.69/2.18 (implies @ (implies @ z @ u) @
% 10.69/2.18 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.18 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.18 v7)))),
% 10.69/2.18 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl268])).
% 10.69/2.18 thf(zip_derived_cl3, plain,
% 10.69/2.18 (![X0 : $i, X1 : $i]:
% 10.69/2.18 (is_a_theorem @
% 10.69/2.18 (implies @ (implies @ (implies @ X0 @ X1) @ X1) @
% 10.69/2.18 (implies @ (implies @ X1 @ X0) @ X0)))),
% 10.69/2.18 inference('cnf', [status(esa)], [mv3])).
% 10.69/2.18 thf(zip_derived_cl286, plain,
% 10.69/2.18 (~ (is_a_theorem @
% 10.69/2.18 (implies @
% 10.69/2.18 (implies @
% 10.69/2.18 (implies @ (implies @ z @ u) @
% 10.69/2.18 (implies @ (implies @ v @ z) @ (implies @ v @ u))) @
% 10.69/2.18 (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7)) @
% 10.69/2.18 v7))),
% 10.69/2.18 inference('demod', [status(thm)], [zip_derived_cl283, zip_derived_cl3])).
% 10.69/2.18 thf(zip_derived_cl289, plain,
% 10.69/2.18 ((~ (is_a_theorem @
% 10.69/2.18 (implies @ (implies @ (implies @ w @ (implies @ v6 @ w)) @ v7) @ v7))
% 10.69/2.18 | ~ (is_a_theorem @
% 10.69/2.18 (implies @ (implies @ z @ u) @
% 10.69/2.18 (implies @ (implies @ v @ z) @ (implies @ v @ u)))))),
% 10.69/2.18 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl286])).
% 10.69/2.18 thf(zip_derived_cl291, plain,
% 10.69/2.18 ((~ (is_a_theorem @ (implies @ w @ (implies @ v6 @ w)))
% 10.69/2.18 | ~ (is_a_theorem @
% 10.69/2.18 (implies @ (implies @ z @ u) @
% 10.69/2.18 (implies @ (implies @ v @ z) @ (implies @ v @ u)))))),
% 10.69/2.18 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl289])).
% 10.69/2.18 thf(zip_derived_cl1, plain,
% 10.69/2.18 (![X0 : $i, X1 : $i]:
% 10.69/2.18 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 10.69/2.18 inference('cnf', [status(esa)], [mv1])).
% 10.69/2.18 thf(zip_derived_cl294, plain,
% 10.69/2.18 (~ (is_a_theorem @
% 10.69/2.18 (implies @ (implies @ z @ u) @
% 10.69/2.18 (implies @ (implies @ v @ z) @ (implies @ v @ u))))),
% 10.69/2.18 inference('demod', [status(thm)], [zip_derived_cl291, zip_derived_cl1])).
% 10.69/2.18 thf(zip_derived_cl3265, plain,
% 10.69/2.18 (~ (is_a_theorem @
% 10.69/2.18 (implies @ (implies @ v @ z) @
% 10.69/2.18 (implies @ (implies @ z @ u) @ (implies @ v @ u))))),
% 10.69/2.18 inference('sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl294])).
% 10.69/2.18 thf(zip_derived_cl2, plain,
% 10.69/2.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.69/2.18 (is_a_theorem @
% 10.69/2.18 (implies @ (implies @ X0 @ X1) @
% 10.69/2.18 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 10.69/2.18 inference('cnf', [status(esa)], [mv2])).
% 10.69/2.18 thf(zip_derived_cl3314, plain, ($false),
% 10.69/2.18 inference('demod', [status(thm)], [zip_derived_cl3265, zip_derived_cl2])).
% 10.69/2.18
% 10.69/2.18 % SZS output end Refutation
% 10.69/2.18
% 10.69/2.18
% 10.69/2.18 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 10.69/2.18 % Terminating...
% 2.77/2.23 % Runner terminated.
% 2.77/2.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------