%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL225-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jX4hq7OqJe true
% Computer : n001.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 01:35:31 PM UTC 2026
% Result : Unsatisfiable 227.82s 33.25s
% Output : Refutation 227.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL225-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jX4hq7OqJe true
% 0.11/0.37 % Computer : n001.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 4 22:41:45 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
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.39 % 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
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 227.82/33.25 % Solved by fo/fo13.sh.
% 227.82/33.25 % done 26371 iterations in 32.388s
% 227.82/33.25 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 227.82/33.25 % SZS output start Refutation
% 227.82/33.25 thf(r_type, type, r: $i).
% 227.82/33.25 thf(axiom_type, type, axiom: $i > $o).
% 227.82/33.25 thf(implies_type, type, implies: $i > $i > $i).
% 227.82/33.25 thf(p_type, type, p: $i).
% 227.82/33.25 thf(or_type, type, or: $i > $i > $i).
% 227.82/33.25 thf(q_type, type, q: $i).
% 227.82/33.25 thf(theorem_type, type, theorem: $i > $o).
% 227.82/33.25 thf(not_type, type, not: $i > $i).
% 227.82/33.25 thf(implies_definition, axiom,
% 227.82/33.25 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(axiom_1_5, axiom,
% 227.82/33.25 (axiom @
% 227.82/33.25 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 227.82/33.25 thf(zip_derived_cl3, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 227.82/33.25 inference('cnf', [status(esa)], [axiom_1_5])).
% 227.82/33.25 thf(zip_derived_cl19, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (or @ X1 @ (or @ (not @ X2) @ X0)) @
% 227.82/33.25 (implies @ X2 @ (or @ X1 @ X0))))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(zip_derived_cl23, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (or @ X1 @ (implies @ X2 @ X0)) @
% 227.82/33.25 (implies @ X2 @ (or @ X1 @ X0))))),
% 227.82/33.25 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl5])).
% 227.82/33.25 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 227.82/33.25 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 227.82/33.25 inference('cnf', [status(esa)], [rule_1])).
% 227.82/33.25 thf(rule_2, axiom,
% 227.82/33.25 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 227.82/33.25 ( ~( theorem @ Y ) ))).
% 227.82/33.25 thf(zip_derived_cl7, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 ( (theorem @ X0)
% 227.82/33.25 | ~ (theorem @ (implies @ X1 @ X0))
% 227.82/33.25 | ~ (theorem @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [rule_2])).
% 227.82/33.25 thf(zip_derived_cl9, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 227.82/33.25 thf(zip_derived_cl119, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 ( (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 227.82/33.25 | ~ (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl9])).
% 227.82/33.25 thf(zip_derived_cl460, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 ( (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0)))
% 227.82/33.25 | ~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl119])).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(zip_derived_cl461, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 ( (theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 227.82/33.25 | ~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 227.82/33.25 inference('demod', [status(thm)], [zip_derived_cl460, zip_derived_cl5])).
% 227.82/33.25 thf(zip_derived_cl119, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 ( (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 227.82/33.25 | ~ (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl9])).
% 227.82/33.25 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 227.82/33.25 thf(zip_derived_cl1, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 227.82/33.25 inference('cnf', [status(esa)], [axiom_1_3])).
% 227.82/33.25 thf(zip_derived_cl9, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 227.82/33.25 thf(zip_derived_cl37, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ X0))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl9])).
% 227.82/33.25 thf(zip_derived_cl455, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 ( (theorem @ (implies @ X1 @ (or @ X2 @ X0)))
% 227.82/33.25 | ~ (theorem @ (implies @ X1 @ X0)))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl37])).
% 227.82/33.25 thf(zip_derived_cl3308, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 227.82/33.25 (~ (theorem @ (implies @ X1 @ (implies @ X2 @ X0)))
% 227.82/33.25 | (theorem @ (implies @ X2 @ (or @ X3 @ (implies @ X1 @ X0)))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl461, zip_derived_cl455])).
% 227.82/33.25 thf(axiom_1_4, axiom,
% 227.82/33.25 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 227.82/33.25 thf(zip_derived_cl2, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 227.82/33.25 inference('cnf', [status(esa)], [axiom_1_4])).
% 227.82/33.25 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 227.82/33.25 inference('cnf', [status(esa)], [rule_1])).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(axiom_1_6, axiom,
% 227.82/33.25 (axiom @
% 227.82/33.25 ( implies @
% 227.82/33.25 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 227.82/33.25 thf(zip_derived_cl4, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (implies @ X0 @ X1) @
% 227.82/33.25 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 227.82/33.25 inference('cnf', [status(esa)], [axiom_1_6])).
% 227.82/33.25 thf(zip_derived_cl27, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (implies @ X2 @ X0) @
% 227.82/33.25 (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0))))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(zip_derived_cl29, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (implies @ X2 @ X0) @
% 227.82/33.25 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 227.82/33.25 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl5])).
% 227.82/33.25 thf(zip_derived_cl9, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 227.82/33.25 thf(zip_derived_cl178, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 227.82/33.25 | ~ (theorem @ (implies @ X2 @ X0)))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 227.82/33.25 thf(zip_derived_cl729, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (~ (axiom @ (implies @ X1 @ X0))
% 227.82/33.25 | (theorem @ (implies @ (implies @ X2 @ X1) @ (implies @ X2 @ X0))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl178])).
% 227.82/33.25 thf(zip_derived_cl4824, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (theorem @
% 227.82/33.25 (implies @ (implies @ X2 @ (or @ X0 @ X1)) @
% 227.82/33.25 (implies @ X2 @ (or @ X1 @ X0))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl729])).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(zip_derived_cl3, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 227.82/33.25 inference('cnf', [status(esa)], [axiom_1_5])).
% 227.82/33.25 thf(zip_derived_cl20, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (or @ (not @ X1) @ (or @ X2 @ X0)) @
% 227.82/33.25 (or @ X2 @ (implies @ X1 @ X0))))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(zip_derived_cl24, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (implies @ X1 @ (or @ X2 @ X0)) @
% 227.82/33.25 (or @ X2 @ (implies @ X1 @ X0))))),
% 227.82/33.25 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl5])).
% 227.82/33.25 thf(zip_derived_cl9, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 227.82/33.25 thf(zip_derived_cl138, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 ( (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 227.82/33.25 | ~ (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl9])).
% 227.82/33.25 thf(zip_derived_cl24, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (implies @ X1 @ (or @ X2 @ X0)) @
% 227.82/33.25 (or @ X2 @ (implies @ X1 @ X0))))),
% 227.82/33.25 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl5])).
% 227.82/33.25 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 227.82/33.25 inference('cnf', [status(esa)], [rule_1])).
% 227.82/33.25 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 227.82/33.25 thf(zip_derived_cl0, plain,
% 227.82/33.25 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 227.82/33.25 inference('cnf', [status(esa)], [axiom_1_2])).
% 227.82/33.25 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 227.82/33.25 inference('cnf', [status(esa)], [rule_1])).
% 227.82/33.25 thf(prove_this, conjecture,
% 227.82/33.25 (theorem @
% 227.82/33.25 ( implies @
% 227.82/33.25 ( implies @ p @ ( implies @ q @ r ) ) @
% 227.82/33.25 ( implies @ ( implies @ p @ q ) @ ( implies @ p @ r ) ) ))).
% 227.82/33.25 thf(zf_stmt_0, negated_conjecture,
% 227.82/33.25 (~( theorem @
% 227.82/33.25 ( implies @
% 227.82/33.25 ( implies @ p @ ( implies @ q @ r ) ) @
% 227.82/33.25 ( implies @ ( implies @ p @ q ) @ ( implies @ p @ r ) ) ) )),
% 227.82/33.25 inference('cnf.neg', [status(esa)], [prove_this])).
% 227.82/33.25 thf(zip_derived_cl8, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))))),
% 227.82/33.25 inference('cnf', [status(esa)], [zf_stmt_0])).
% 227.82/33.25 thf(zip_derived_cl7, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 ( (theorem @ X0)
% 227.82/33.25 | ~ (theorem @ (implies @ X1 @ X0))
% 227.82/33.25 | ~ (theorem @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [rule_2])).
% 227.82/33.25 thf(zip_derived_cl11, plain,
% 227.82/33.25 (![X0 : $i]:
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ X0 @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r)))))
% 227.82/33.25 | ~ (theorem @ X0))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 227.82/33.25 thf(zip_derived_cl13, plain,
% 227.82/33.25 (![X0 : $i]:
% 227.82/33.25 (~ (axiom @
% 227.82/33.25 (implies @ X0 @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r)))))
% 227.82/33.25 | ~ (theorem @ X0))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl11])).
% 227.82/33.25 thf(zip_derived_cl18, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r)))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl13])).
% 227.82/33.25 thf(zip_derived_cl7, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 ( (theorem @ X0)
% 227.82/33.25 | ~ (theorem @ (implies @ X1 @ X0))
% 227.82/33.25 | ~ (theorem @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [rule_2])).
% 227.82/33.25 thf(zip_derived_cl32, plain,
% 227.82/33.25 (![X0 : $i]:
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ X0 @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))))))
% 227.82/33.25 | ~ (theorem @ X0))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 227.82/33.25 thf(zip_derived_cl34, plain,
% 227.82/33.25 (![X0 : $i]:
% 227.82/33.25 (~ (axiom @
% 227.82/33.25 (implies @ X0 @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))))))
% 227.82/33.25 | ~ (theorem @ X0))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl32])).
% 227.82/33.25 thf(zip_derived_cl202, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r)))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl34])).
% 227.82/33.25 thf(zip_derived_cl5, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [implies_definition])).
% 227.82/33.25 thf(zip_derived_cl1, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 227.82/33.25 inference('cnf', [status(esa)], [axiom_1_3])).
% 227.82/33.25 thf(zip_derived_cl15, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 227.82/33.25 thf(zip_derived_cl9, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 227.82/33.25 thf(zip_derived_cl36, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 ( (theorem @ (implies @ X1 @ X0)) | ~ (theorem @ X0))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl9])).
% 227.82/33.25 thf(zip_derived_cl230, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl36])).
% 227.82/33.25 thf(zip_derived_cl588, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ (implies @ p @ q) @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 (implies @ p @ r))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl230])).
% 227.82/33.25 thf(zip_derived_cl36, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 ( (theorem @ (implies @ X1 @ X0)) | ~ (theorem @ X0))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl9])).
% 227.82/33.25 thf(zip_derived_cl2245, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 (implies @ p @ r)))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl588, zip_derived_cl36])).
% 227.82/33.25 thf(zip_derived_cl138, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 ( (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 227.82/33.25 | ~ (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl9])).
% 227.82/33.25 thf(zip_derived_cl2293, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ p @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 r)))),
% 227.82/33.25 inference('s_sup+', [status(thm)],
% 227.82/33.25 [zip_derived_cl2245, zip_derived_cl138])).
% 227.82/33.25 thf(zip_derived_cl7, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i]:
% 227.82/33.25 ( (theorem @ X0)
% 227.82/33.25 | ~ (theorem @ (implies @ X1 @ X0))
% 227.82/33.25 | ~ (theorem @ X1))),
% 227.82/33.25 inference('cnf', [status(esa)], [rule_2])).
% 227.82/33.25 thf(zip_derived_cl2427, plain,
% 227.82/33.25 (![X0 : $i]:
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ X0 @
% 227.82/33.25 (implies @ p @
% 227.82/33.25 (or @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))) @
% 227.82/33.25 r))))
% 227.82/33.25 | ~ (theorem @ X0))),
% 227.82/33.25 inference('s_sup+', [status(thm)], [zip_derived_cl2293, zip_derived_cl7])).
% 227.82/33.25 thf(zip_derived_cl54529, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ p @
% 227.82/33.25 (or @ r @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ (implies @ p @ q) @ (implies @ p @ r))))))),
% 227.82/33.25 inference('s_sup-', [status(thm)],
% 227.82/33.25 [zip_derived_cl4824, zip_derived_cl2427])).
% 227.82/33.25 thf(zip_derived_cl73591, plain,
% 227.82/33.25 (~ (theorem @
% 227.82/33.25 (implies @ (implies @ p @ (implies @ q @ r)) @
% 227.82/33.25 (implies @ p @ (implies @ (implies @ p @ q) @ (implies @ p @ r)))))),
% 227.82/33.25 inference('s_sup-', [status(thm)],
% 227.82/33.25 [zip_derived_cl3308, zip_derived_cl54529])).
% 227.82/33.25 thf(zip_derived_cl29, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (axiom @
% 227.82/33.25 (implies @ (implies @ X2 @ X0) @
% 227.82/33.25 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 227.82/33.25 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl5])).
% 227.82/33.25 thf(zip_derived_cl729, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 227.82/33.25 (~ (axiom @ (implies @ X1 @ X0))
% 227.82/33.25 | (theorem @ (implies @ (implies @ X2 @ X1) @ (implies @ X2 @ X0))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl178])).
% 227.82/33.25 thf(zip_derived_cl4815, plain,
% 227.82/33.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 227.82/33.25 (theorem @
% 227.82/33.25 (implies @ (implies @ X3 @ (implies @ X2 @ X0)) @
% 227.82/33.25 (implies @ X3 @
% 227.82/33.25 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))))),
% 227.82/33.25 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl729])).
% 227.82/33.25 thf(zip_derived_cl73593, plain, ($false),
% 227.82/33.25 inference('demod', [status(thm)],
% 227.82/33.25 [zip_derived_cl73591, zip_derived_cl4815])).
% 227.82/33.25
% 227.82/33.25 % SZS output end Refutation
% 227.82/33.25
% 227.82/33.25
% 227.82/33.25 % Terminating...
% 33.81/33.31 % Runner terminated.
% 33.81/33.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------