%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL203-3 : 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.rEKrgK0436 true
% Computer : n019.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 01:35:26 PM UTC 2026
% Result : Unsatisfiable 3.80s 1.17s
% Output : Refutation 3.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL203-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rEKrgK0436 true
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 13:14:08 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.44/0.67 % Total configuration time : 435
% 0.44/0.67 % Estimated wc time : 1092
% 0.44/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.80/1.17 % Solved by fo/fo1_av.sh.
% 3.80/1.17 % done 452 iterations in 0.341s
% 3.80/1.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.80/1.17 % SZS output start Refutation
% 3.80/1.17 thf(axiom_type, type, axiom: $i > $o).
% 3.80/1.17 thf(implies_type, type, implies: $i > $i > $i).
% 3.80/1.17 thf(p_type, type, p: $i).
% 3.80/1.17 thf(or_type, type, or: $i > $i > $i).
% 3.80/1.17 thf(q_type, type, q: $i).
% 3.80/1.17 thf(theorem_type, type, theorem: $i > $o).
% 3.80/1.17 thf(not_type, type, not: $i > $i).
% 3.80/1.17 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 3.80/1.17 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 3.80/1.17 inference('cnf', [status(esa)], [rule_1])).
% 3.80/1.17 thf(implies_definition, axiom,
% 3.80/1.17 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 3.80/1.17 thf(zip_derived_cl1, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 3.80/1.17 inference('cnf', [status(esa)], [axiom_1_3])).
% 3.80/1.17 thf(rule_2, axiom,
% 3.80/1.17 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 3.80/1.17 ( ~( theorem @ Y ) ))).
% 3.80/1.17 thf(zip_derived_cl7, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 ( (theorem @ X0)
% 3.80/1.17 | ~ (theorem @ (implies @ X1 @ X0))
% 3.80/1.17 | ~ (theorem @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [rule_2])).
% 3.80/1.17 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 3.80/1.17 inference('cnf', [status(esa)], [rule_1])).
% 3.80/1.17 thf(zip_derived_cl16, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 3.80/1.17 thf(zip_derived_cl23, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: (~ (theorem @ X0) | (theorem @ (or @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl16])).
% 3.80/1.17 thf(zip_derived_cl33, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ X0) | (theorem @ (implies @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl23])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(axiom_1_5, axiom,
% 3.80/1.17 (axiom @
% 3.80/1.17 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 3.80/1.17 thf(zip_derived_cl3, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (axiom @
% 3.80/1.17 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 3.80/1.17 inference('cnf', [status(esa)], [axiom_1_5])).
% 3.80/1.17 thf(zip_derived_cl16, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 3.80/1.17 thf(zip_derived_cl39, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 3.80/1.17 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl16])).
% 3.80/1.17 thf(zip_derived_cl114, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 3.80/1.17 | (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl39])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(zip_derived_cl117, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 3.80/1.17 | (theorem @ (implies @ X1 @ (or @ X2 @ X0))))),
% 3.80/1.17 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl5])).
% 3.80/1.17 thf(zip_derived_cl204, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 3.80/1.17 | (theorem @ (implies @ X1 @ (or @ (not @ X2) @ X0))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl117])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(zip_derived_cl205, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (implies @ X2 @ (implies @ X1 @ X0)))
% 3.80/1.17 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 3.80/1.17 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl5])).
% 3.80/1.17 thf(zip_derived_cl213, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (implies @ X1 @ X0))
% 3.80/1.17 | (theorem @ (implies @ X1 @ (implies @ X2 @ X0))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl205])).
% 3.80/1.17 thf(prove_this, conjecture,
% 3.80/1.17 (theorem @
% 3.80/1.17 ( implies @ ( not @ ( or @ p @ q ) ) @ ( or @ ( not @ p ) @ ( not @ q ) ) ))).
% 3.80/1.17 thf(zf_stmt_0, negated_conjecture,
% 3.80/1.17 (~( theorem @
% 3.80/1.17 ( implies @
% 3.80/1.17 ( not @ ( or @ p @ q ) ) @ ( or @ ( not @ p ) @ ( not @ q ) ) ) )),
% 3.80/1.17 inference('cnf.neg', [status(esa)], [prove_this])).
% 3.80/1.17 thf(zip_derived_cl8, plain,
% 3.80/1.17 (~ (theorem @
% 3.80/1.17 (implies @ (not @ (or @ p @ q)) @ (or @ (not @ p) @ (not @ q))))),
% 3.80/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(zip_derived_cl11, plain,
% 3.80/1.17 (~ (theorem @
% 3.80/1.17 (implies @ (not @ (or @ p @ q)) @ (implies @ p @ (not @ q))))),
% 3.80/1.17 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 3.80/1.17 thf(zip_derived_cl920, plain,
% 3.80/1.17 (~ (theorem @ (implies @ (not @ (or @ p @ q)) @ (not @ q)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl11])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 3.80/1.17 thf(zip_derived_cl0, plain,
% 3.80/1.17 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 3.80/1.17 inference('cnf', [status(esa)], [axiom_1_2])).
% 3.80/1.17 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 3.80/1.17 inference('cnf', [status(esa)], [rule_1])).
% 3.80/1.17 thf(axiom_1_6, axiom,
% 3.80/1.17 (axiom @
% 3.80/1.17 ( implies @
% 3.80/1.17 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 3.80/1.17 thf(zip_derived_cl4, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (axiom @
% 3.80/1.17 (implies @ (implies @ X0 @ X1) @
% 3.80/1.17 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 3.80/1.17 inference('cnf', [status(esa)], [axiom_1_6])).
% 3.80/1.17 thf(zip_derived_cl16, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 3.80/1.17 thf(zip_derived_cl58, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (implies @ X2 @ X0))
% 3.80/1.17 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl16])).
% 3.80/1.17 thf(zip_derived_cl7, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 ( (theorem @ X0)
% 3.80/1.17 | ~ (theorem @ (implies @ X1 @ X0))
% 3.80/1.17 | ~ (theorem @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [rule_2])).
% 3.80/1.17 thf(zip_derived_cl226, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (implies @ X2 @ X0))
% 3.80/1.17 | (theorem @ (or @ X1 @ X0))
% 3.80/1.17 | ~ (theorem @ (or @ X1 @ X2)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl7])).
% 3.80/1.17 thf(zip_derived_cl231, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (axiom @ (implies @ X1 @ X0))
% 3.80/1.17 | (theorem @ (or @ X2 @ X0))
% 3.80/1.17 | ~ (theorem @ (or @ X2 @ X1)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl226])).
% 3.80/1.17 thf(zip_derived_cl246, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 ( (theorem @ (or @ X1 @ X0))
% 3.80/1.17 | ~ (theorem @ (or @ X1 @ (or @ X0 @ X0))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl231])).
% 3.80/1.17 thf(zip_derived_cl265, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 ( (theorem @ (or @ (not @ X1) @ X0))
% 3.80/1.17 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl246])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(zip_derived_cl267, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 ( (theorem @ (implies @ X1 @ X0))
% 3.80/1.17 | ~ (theorem @ (implies @ X1 @ (or @ X0 @ X0))))),
% 3.80/1.17 inference('demod', [status(thm)], [zip_derived_cl265, zip_derived_cl5])).
% 3.80/1.17 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 3.80/1.17 inference('cnf', [status(esa)], [rule_1])).
% 3.80/1.17 thf(zip_derived_cl285, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 ( (theorem @ (implies @ X1 @ X0))
% 3.80/1.17 | ~ (axiom @ (implies @ X1 @ (or @ X0 @ X0))))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl6])).
% 3.80/1.17 thf(zip_derived_cl1, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 3.80/1.17 inference('cnf', [status(esa)], [axiom_1_3])).
% 3.80/1.17 thf(zip_derived_cl321, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl285, zip_derived_cl1])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(axiom_1_4, axiom,
% 3.80/1.17 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 3.80/1.17 thf(zip_derived_cl2, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 3.80/1.17 inference('cnf', [status(esa)], [axiom_1_4])).
% 3.80/1.17 thf(zip_derived_cl16, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 3.80/1.17 thf(zip_derived_cl28, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl16])).
% 3.80/1.17 thf(zip_derived_cl37, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ (implies @ X1 @ X0))
% 3.80/1.17 | (theorem @ (or @ X0 @ (not @ X1))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl28])).
% 3.80/1.17 thf(zip_derived_cl73, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ (implies @ X0 @ (not @ X1)))
% 3.80/1.17 | (theorem @ (implies @ X1 @ (not @ X0))))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl37])).
% 3.80/1.17 thf(zip_derived_cl338, plain,
% 3.80/1.17 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl321, zip_derived_cl73])).
% 3.80/1.17 thf(zip_derived_cl226, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.80/1.17 (~ (theorem @ (implies @ X2 @ X0))
% 3.80/1.17 | (theorem @ (or @ X1 @ X0))
% 3.80/1.17 | ~ (theorem @ (or @ X1 @ X2)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl7])).
% 3.80/1.17 thf(zip_derived_cl340, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 ( (theorem @ (or @ X1 @ (not @ (not @ X0))))
% 3.80/1.17 | ~ (theorem @ (or @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl338, zip_derived_cl226])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(zip_derived_cl2, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 3.80/1.17 inference('cnf', [status(esa)], [axiom_1_4])).
% 3.80/1.17 thf(zip_derived_cl30, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (axiom @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 3.80/1.17 thf(zip_derived_cl16, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ X1) | (theorem @ X0) | ~ (axiom @ (implies @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 3.80/1.17 thf(zip_derived_cl78, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 3.80/1.17 | (theorem @ (implies @ X1 @ X0)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl16])).
% 3.80/1.17 thf(zip_derived_cl531, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]:
% 3.80/1.17 (~ (theorem @ (or @ X1 @ X0))
% 3.80/1.17 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl340, zip_derived_cl78])).
% 3.80/1.17 thf(zip_derived_cl1015, plain,
% 3.80/1.17 (~ (theorem @ (or @ (not @ q) @ (or @ p @ q)))),
% 3.80/1.17 inference('s_sup+', [status(thm)], [zip_derived_cl920, zip_derived_cl531])).
% 3.80/1.17 thf(zip_derived_cl5, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 3.80/1.17 inference('cnf', [status(esa)], [implies_definition])).
% 3.80/1.17 thf(zip_derived_cl1016, plain, (~ (theorem @ (implies @ q @ (or @ p @ q)))),
% 3.80/1.17 inference('demod', [status(thm)], [zip_derived_cl1015, zip_derived_cl5])).
% 3.80/1.17 thf(zip_derived_cl1030, plain, (~ (axiom @ (implies @ q @ (or @ p @ q)))),
% 3.80/1.17 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl1016])).
% 3.80/1.17 thf(zip_derived_cl1, plain,
% 3.80/1.17 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 3.80/1.17 inference('cnf', [status(esa)], [axiom_1_3])).
% 3.80/1.17 thf(zip_derived_cl1036, plain, ($false),
% 3.80/1.17 inference('demod', [status(thm)], [zip_derived_cl1030, zip_derived_cl1])).
% 3.80/1.17
% 3.80/1.17 % SZS output end Refutation
% 3.80/1.17
% 3.80/1.17
% 3.80/1.17 % Terminating...
% 1.81/1.22 % Runner terminated.
% 1.81/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------