%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL089-1 : 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.1hwcpknWZl 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 35.41s 5.75s
% Output : Refutation 35.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL089-1 : 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.1hwcpknWZl true
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 16:47:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Running portfolio for 300 s
% 0.09/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Number of cores: 8
% 0.09/0.37 % Python version: Python 3.12.3
% 0.09/0.37 % Running in FO mode
% 0.45/0.66 % Total configuration time : 435
% 0.45/0.66 % Estimated wc time : 1092
% 0.45/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 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/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/fo13.sh running for 50s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 35.41/5.75 % Solved by fo/fo7.sh.
% 35.41/5.75 % done 1439 iterations in 4.910s
% 35.41/5.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 35.41/5.75 % SZS output start Refutation
% 35.41/5.75 thf(b_type, type, b: $i).
% 35.41/5.75 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 35.41/5.75 thf(implies_type, type, implies: $i > $i > $i).
% 35.41/5.75 thf(a_type, type, a: $i).
% 35.41/5.75 thf(c_type, type, c: $i).
% 35.41/5.75 thf(prove_ic_4, conjecture,
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 ( implies @
% 35.41/5.75 ( implies @ a @ b ) @
% 35.41/5.75 ( implies @ ( implies @ b @ c ) @ ( implies @ a @ c ) ) ))).
% 35.41/5.75 thf(zf_stmt_0, negated_conjecture,
% 35.41/5.75 (~( is_a_theorem @
% 35.41/5.75 ( implies @
% 35.41/5.75 ( implies @ a @ b ) @
% 35.41/5.75 ( implies @ ( implies @ b @ c ) @ ( implies @ a @ c ) ) ) )),
% 35.41/5.75 inference('cnf.neg', [status(esa)], [prove_ic_4])).
% 35.41/5.75 thf(zip_derived_cl2, plain,
% 35.41/5.75 (~ (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ a @ b) @
% 35.41/5.75 (implies @ (implies @ b @ c) @ (implies @ a @ c))))),
% 35.41/5.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 35.41/5.75 thf(ic_JLukasiewicz_4, axiom,
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 ( implies @
% 35.41/5.75 ( implies @ ( implies @ P @ Q ) @ ( implies @ R @ S ) ) @
% 35.41/5.75 ( implies @ T @ ( implies @ ( implies @ S @ P ) @ ( implies @ R @ P ) ) ) ))).
% 35.41/5.75 thf(zip_derived_cl1, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 35.41/5.75 (implies @ X4 @
% 35.41/5.75 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 35.41/5.75 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 35.41/5.75 thf(zip_derived_cl1, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 35.41/5.75 (implies @ X4 @
% 35.41/5.75 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 35.41/5.75 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 35.41/5.75 thf(zip_derived_cl1, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ X3)) @
% 35.41/5.75 (implies @ X4 @
% 35.41/5.75 (implies @ (implies @ X3 @ X0) @ (implies @ X2 @ X0)))))),
% 35.41/5.75 inference('cnf', [status(esa)], [ic_JLukasiewicz_4])).
% 35.41/5.75 thf(condensed_detachment, axiom,
% 35.41/5.75 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 35.41/5.75 ( is_a_theorem @ Y ))).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl3, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl4, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X5 @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X0 @ X4)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl5, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 35.41/5.75 (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X2 @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @ X5))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl5, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 35.41/5.75 (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X2 @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @ X5))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl8, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ X5)
% 35.41/5.75 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 35.41/5.75 | ~ (is_a_theorem @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 35.41/5.75 (implies @ X1 @ X0))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl18, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 (~ (is_a_theorem @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X3 @ X1) @ (implies @ X2 @ X1)) @
% 35.41/5.75 (implies @ X1 @ X0)))
% 35.41/5.75 | (is_a_theorem @ (implies @ X4 @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 35.41/5.75 thf(zip_derived_cl21, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ X4)
% 35.41/5.75 | (is_a_theorem @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ X1 @ X0) @
% 35.41/5.75 (implies @ X0 @ (implies @ X1 @ X0))))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl18])).
% 35.41/5.75 thf(zip_derived_cl4, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X5 @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X0 @ X4)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl332, plain,
% 35.41/5.75 (![X6 : $i, X7 : $i, X8 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X8 @
% 35.41/5.75 (implies @ (implies @ X7 @ X6) @
% 35.41/5.75 (implies @ X6 @ (implies @ X7 @ X6)))))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl384, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X1 @ X0) @
% 35.41/5.75 (implies @ X0 @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @ X2))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl332, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl4, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X5 @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X0 @ X4)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl417, plain,
% 35.41/5.75 (![X6 : $i, X7 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X7 @ X6) @
% 35.41/5.75 (implies @ X6 @ (implies @ X7 @ X6))))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl3, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl467, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X2 @
% 35.41/5.75 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 35.41/5.75 (implies @ X0 @ X1))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl417, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl470, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @
% 35.41/5.75 (implies @ X1 @ X0)))
% 35.41/5.75 | ~ (is_a_theorem @ X2))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl467, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl4, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X5 @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X0 @ X4)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl585, plain,
% 35.41/5.75 (![X6 : $i, X7 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X6 @ X7) @ X6) @
% 35.41/5.75 (implies @ X7 @ X6)))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl470, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl18, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 (~ (is_a_theorem @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X3 @ X1) @ (implies @ X2 @ X1)) @
% 35.41/5.75 (implies @ X1 @ X0)))
% 35.41/5.75 | (is_a_theorem @ (implies @ X4 @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('condensation', [status(thm)], [zip_derived_cl8])).
% 35.41/5.75 thf(zip_derived_cl860, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl18])).
% 35.41/5.75 thf(zip_derived_cl3, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl904, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X4 @
% 35.41/5.75 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 35.41/5.75 (implies @ X0 @ X3))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl860, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl1161, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X2 @ X1) @ X0) @
% 35.41/5.75 (implies @ X1 @ X0)))
% 35.41/5.75 | ~ (is_a_theorem @ X3))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl904, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl1568, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ X3)
% 35.41/5.75 | (is_a_theorem @ (implies @ X1 @ X0))
% 35.41/5.75 | ~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1161, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl1651, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 35.41/5.75 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 35.41/5.75 inference('condensation', [status(thm)], [zip_derived_cl1568])).
% 35.41/5.75 thf(zip_derived_cl1672, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X1 @ X2) @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1651])).
% 35.41/5.75 thf(zip_derived_cl860, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl18])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl889, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 ( (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))
% 35.41/5.75 | ~ (is_a_theorem @ X2))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl860, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl4, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X5 @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X0 @ X4)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl975, plain,
% 35.41/5.75 (![X6 : $i, X7 : $i]:
% 35.41/5.75 (is_a_theorem @ (implies @ X6 @ (implies @ X7 @ X6)))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl889, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl3, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl1029, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ (implies @ X1 @ X0) @ X1) @
% 35.41/5.75 (implies @ X2 @ X1))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl975, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl1295, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X0 @ X2) @ X0) @
% 35.41/5.75 (implies @ X1 @ X0)))
% 35.41/5.75 | ~ (is_a_theorem @ X3))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1029, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl4, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X5 @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X0 @ X4)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl2011, plain,
% 35.41/5.75 (![X6 : $i, X7 : $i, X8 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X6 @ X8) @ X6) @
% 35.41/5.75 (implies @ X7 @ X6)))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl1295, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl3, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ X2))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl2364, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X3 @
% 35.41/5.75 (implies @ (implies @ X0 @ (implies @ X0 @ X2)) @
% 35.41/5.75 (implies @ X1 @ (implies @ X0 @ X2)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl2011, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl4557, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X1 @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X2 @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @ X3))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl2364, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl1161, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X2 @ X1) @ X0) @
% 35.41/5.75 (implies @ X1 @ X0)))
% 35.41/5.75 | ~ (is_a_theorem @ X3))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl904, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl4, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X5 @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X0 @ X4)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl1599, plain,
% 35.41/5.75 (![X6 : $i, X7 : $i, X8 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X8 @ X7) @ X6) @
% 35.41/5.75 (implies @ X7 @ X6)))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl1161, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl1295, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X0 @ X2) @ X0) @
% 35.41/5.75 (implies @ X1 @ X0)))
% 35.41/5.75 | ~ (is_a_theorem @ X3))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1029, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl1980, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ X3)
% 35.41/5.75 | (is_a_theorem @ (implies @ X1 @ X0))
% 35.41/5.75 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X0)))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1295, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl2069, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X0))
% 35.41/5.75 | (is_a_theorem @ (implies @ X2 @ X0)))),
% 35.41/5.75 inference('condensation', [status(thm)], [zip_derived_cl1980])).
% 35.41/5.75 thf(zip_derived_cl2092, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1599, zip_derived_cl2069])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl2096, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 ( (is_a_theorem @ (implies @ X0 @ X0)) | ~ (is_a_theorem @ X1))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl2092, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl4, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X5 @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X0 @ X4)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X0 @ X4)))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 35.41/5.75 thf(zip_derived_cl2159, plain,
% 35.41/5.75 (![X6 : $i]: (is_a_theorem @ (implies @ X6 @ X6))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl2096, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl7178, plain,
% 35.41/5.75 (![X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X2 @ (implies @ X2 @ X1)) @
% 35.41/5.75 (implies @ X3 @ (implies @ X2 @ X1))))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl4557, zip_derived_cl2159])).
% 35.41/5.75 thf(zip_derived_cl4557, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X1 @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X2 @ (implies @ X1 @ X0))))
% 35.41/5.75 | ~ (is_a_theorem @ X3))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl2364, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl7112, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ X3)
% 35.41/5.75 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 35.41/5.75 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl4557, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl7305, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 35.41/5.75 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('condensation', [status(thm)], [zip_derived_cl7112])).
% 35.41/5.75 thf(zip_derived_cl8873, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X2 @
% 35.41/5.75 (implies @ (implies @ X1 @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X1 @ X0))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl7178, zip_derived_cl7305])).
% 35.41/5.75 thf(zip_derived_cl2011, plain,
% 35.41/5.75 (![X6 : $i, X7 : $i, X8 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X6 @ X8) @ X6) @
% 35.41/5.75 (implies @ X7 @ X6)))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl1295, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl7305, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 35.41/5.75 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('condensation', [status(thm)], [zip_derived_cl7112])).
% 35.41/5.75 thf(zip_derived_cl7358, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ X2 @
% 35.41/5.75 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0)))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl2011, zip_derived_cl7305])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl7604, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 ( (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))
% 35.41/5.75 | ~ (is_a_theorem @ X2))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl7358, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl2159, plain,
% 35.41/5.75 (![X6 : $i]: (is_a_theorem @ (implies @ X6 @ X6))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl2096, zip_derived_cl4])).
% 35.41/5.75 thf(zip_derived_cl7974, plain,
% 35.41/5.75 (![X1 : $i, X2 : $i]:
% 35.41/5.75 (is_a_theorem @ (implies @ (implies @ (implies @ X1 @ X2) @ X1) @ X1))),
% 35.41/5.75 inference('sup+', [status(thm)], [zip_derived_cl7604, zip_derived_cl2159])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl8114, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 ( (is_a_theorem @ X0)
% 35.41/5.75 | ~ (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X0)))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl7974, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl9069, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X1 @ (implies @ X1 @ X0)) @
% 35.41/5.75 (implies @ X1 @ X0)))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl8873, zip_derived_cl8114])).
% 35.41/5.75 thf(zip_derived_cl0, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 35.41/5.75 | ~ (is_a_theorem @ X0)
% 35.41/5.75 | (is_a_theorem @ X1))),
% 35.41/5.75 inference('cnf', [status(esa)], [condensed_detachment])).
% 35.41/5.75 thf(zip_derived_cl9135, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i]:
% 35.41/5.75 ( (is_a_theorem @ (implies @ X1 @ X0))
% 35.41/5.75 | ~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl9069, zip_derived_cl0])).
% 35.41/5.75 thf(zip_derived_cl9253, plain,
% 35.41/5.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 35.41/5.75 (is_a_theorem @
% 35.41/5.75 (implies @ (implies @ X1 @ X2) @
% 35.41/5.75 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 35.41/5.75 inference('sup-', [status(thm)], [zip_derived_cl1672, zip_derived_cl9135])).
% 35.41/5.75 thf(zip_derived_cl9528, plain, ($false),
% 35.41/5.75 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl9253])).
% 35.41/5.75
% 35.41/5.75 % SZS output end Refutation
% 35.41/5.75
% 35.41/5.75
% 35.41/5.75 % Terminating...
% 6.22/5.80 % Runner terminated.
% 6.22/5.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------