TSTP Solution File: LCL250-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL250-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oQFaTbJZ1G true
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 08:59:04 EDT 2023
% Result : Unsatisfiable 110.19s 16.41s
% Output : Refutation 110.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL250-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oQFaTbJZ1G true
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 00:52:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 110.19/16.41 % Solved by fo/fo13.sh.
% 110.19/16.41 % done 24273 iterations in 15.595s
% 110.19/16.41 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 110.19/16.41 % SZS output start Refutation
% 110.19/16.41 thf(p_type, type, p: $i).
% 110.19/16.41 thf(q_type, type, q: $i).
% 110.19/16.41 thf(axiom_type, type, axiom: $i > $o).
% 110.19/16.41 thf(implies_type, type, implies: $i > $i > $i).
% 110.19/16.41 thf(r_type, type, r: $i).
% 110.19/16.41 thf(or_type, type, or: $i > $i > $i).
% 110.19/16.41 thf(and_type, type, and: $i > $i > $i).
% 110.19/16.41 thf(theorem_type, type, theorem: $i > $o).
% 110.19/16.41 thf(not_type, type, not: $i > $i).
% 110.19/16.41 thf(implies_definition, axiom,
% 110.19/16.41 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 110.19/16.41 thf(zip_derived_cl1, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_3])).
% 110.19/16.41 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 110.19/16.41 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 110.19/16.41 inference('cnf', [status(esa)], [rule_1])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(axiom_1_4, axiom,
% 110.19/16.41 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 110.19/16.41 thf(zip_derived_cl2, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_4])).
% 110.19/16.41 thf(zip_derived_cl23, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (axiom @ (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1))))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 110.19/16.41 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 110.19/16.41 inference('cnf', [status(esa)], [rule_1])).
% 110.19/16.41 thf(rule_2, axiom,
% 110.19/16.41 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 110.19/16.41 ( ~( theorem @ Y ) ))).
% 110.19/16.41 thf(zip_derived_cl7, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ X0)
% 110.19/16.41 | ~ (theorem @ (implies @ X1 @ X0))
% 110.19/16.41 | ~ (theorem @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [rule_2])).
% 110.19/16.41 thf(zip_derived_cl14, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl191, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ (or @ X1 @ (not @ X0)))
% 110.19/16.41 | ~ (theorem @ (implies @ X0 @ X1)))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl790, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ (or @ X0 @ (not @ X1))))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl191])).
% 110.19/16.41 thf(zip_derived_cl1161, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: (theorem @ (or @ (or @ X1 @ X0) @ (not @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl790])).
% 110.19/16.41 thf(axiom_1_5, axiom,
% 110.19/16.41 (axiom @
% 110.19/16.41 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 110.19/16.41 thf(zip_derived_cl3, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_5])).
% 110.19/16.41 thf(zip_derived_cl14, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl56, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 110.19/16.41 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl2, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_4])).
% 110.19/16.41 thf(zip_derived_cl14, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl55, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl394, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 ( (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 110.19/16.41 | ~ (theorem @ (or @ (or @ X1 @ X0) @ X2)))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 110.19/16.41 thf(zip_derived_cl2720, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (or @ (not @ X0) @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl1161, zip_derived_cl394])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl2726, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (implies @ X0 @ X0)))),
% 110.19/16.41 inference('demod', [status(thm)], [zip_derived_cl2720, zip_derived_cl5])).
% 110.19/16.41 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 110.19/16.41 thf(zip_derived_cl0, plain,
% 110.19/16.41 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_2])).
% 110.19/16.41 thf(zip_derived_cl14, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl54, plain,
% 110.19/16.41 (![X0 : $i]: ( (theorem @ X0) | ~ (theorem @ (or @ X0 @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl2732, plain,
% 110.19/16.41 (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl2726, zip_derived_cl54])).
% 110.19/16.41 thf(zip_derived_cl191, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ (or @ X1 @ (not @ X0)))
% 110.19/16.41 | ~ (theorem @ (implies @ X0 @ X1)))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl2766, plain,
% 110.19/16.41 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl2732, zip_derived_cl191])).
% 110.19/16.41 thf(zip_derived_cl394, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 ( (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 110.19/16.41 | ~ (theorem @ (or @ (or @ X1 @ X0) @ X2)))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl55])).
% 110.19/16.41 thf(zip_derived_cl2852, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (theorem @ (or @ X1 @ (or @ (not @ (or @ X1 @ X0)) @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl2766, zip_derived_cl394])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl2857, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (theorem @ (or @ X1 @ (implies @ (or @ X1 @ X0) @ X0)))),
% 110.19/16.41 inference('demod', [status(thm)], [zip_derived_cl2852, zip_derived_cl5])).
% 110.19/16.41 thf(zip_derived_cl5206, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (theorem @ (implies @ X1 @ (implies @ (or @ (not @ X1) @ X0) @ X0)))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2857])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl5210, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))),
% 110.19/16.41 inference('demod', [status(thm)], [zip_derived_cl5206, zip_derived_cl5])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(axiom_1_6, axiom,
% 110.19/16.41 (axiom @
% 110.19/16.41 ( implies @
% 110.19/16.41 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 110.19/16.41 thf(zip_derived_cl4, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (implies @ X0 @ X1) @
% 110.19/16.41 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_6])).
% 110.19/16.41 thf(zip_derived_cl24, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (implies @ X2 @ X0) @
% 110.19/16.41 (implies @ (or @ (not @ X1) @ X2) @ (implies @ X1 @ X0))))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl26, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (implies @ X2 @ X0) @
% 110.19/16.41 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 110.19/16.41 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl5])).
% 110.19/16.41 thf(zip_derived_cl14, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl214, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 ( (theorem @ (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0)))
% 110.19/16.41 | ~ (theorem @ (implies @ X2 @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl5216, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (theorem @
% 110.19/16.41 (implies @ (implies @ X2 @ X1) @
% 110.19/16.41 (implies @ X2 @ (implies @ (implies @ X1 @ X0) @ X0))))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl5210, zip_derived_cl214])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl3, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_5])).
% 110.19/16.41 thf(zip_derived_cl32, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (or @ X1 @ (or @ (not @ X2) @ X0)) @
% 110.19/16.41 (implies @ X2 @ (or @ X1 @ X0))))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl36, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (or @ X1 @ (implies @ X2 @ X0)) @
% 110.19/16.41 (implies @ X2 @ (or @ X1 @ X0))))),
% 110.19/16.41 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 110.19/16.41 thf(zip_derived_cl244, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (or @ (not @ X1) @ (implies @ X2 @ X0)) @
% 110.19/16.41 (implies @ X2 @ (implies @ X1 @ X0))))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl36])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl248, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (implies @ X1 @ (implies @ X2 @ X0)) @
% 110.19/16.41 (implies @ X2 @ (implies @ X1 @ X0))))),
% 110.19/16.41 inference('demod', [status(thm)], [zip_derived_cl244, zip_derived_cl5])).
% 110.19/16.41 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 110.19/16.41 inference('cnf', [status(esa)], [rule_1])).
% 110.19/16.41 thf(prove_this, conjecture,
% 110.19/16.41 (theorem @
% 110.19/16.41 ( implies @ ( implies @ q @ r ) @ ( implies @ ( and @ p @ q ) @ r ) ))).
% 110.19/16.41 thf(zf_stmt_0, negated_conjecture,
% 110.19/16.41 (~( theorem @
% 110.19/16.41 ( implies @ ( implies @ q @ r ) @ ( implies @ ( and @ p @ q ) @ r ) ) )),
% 110.19/16.41 inference('cnf.neg', [status(esa)], [prove_this])).
% 110.19/16.41 thf(zip_derived_cl9, plain,
% 110.19/16.41 (~ (theorem @
% 110.19/16.41 (implies @ (implies @ q @ r) @ (implies @ (and @ p @ q) @ r)))),
% 110.19/16.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 110.19/16.41 thf(zip_derived_cl7, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ X0)
% 110.19/16.41 | ~ (theorem @ (implies @ X1 @ X0))
% 110.19/16.41 | ~ (theorem @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [rule_2])).
% 110.19/16.41 thf(zip_derived_cl13, plain,
% 110.19/16.41 (![X0 : $i]:
% 110.19/16.41 (~ (theorem @
% 110.19/16.41 (implies @ X0 @
% 110.19/16.41 (implies @ (implies @ q @ r) @ (implies @ (and @ p @ q) @ r))))
% 110.19/16.41 | ~ (theorem @ X0))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl20, plain,
% 110.19/16.41 (![X0 : $i]:
% 110.19/16.41 (~ (axiom @
% 110.19/16.41 (implies @ X0 @
% 110.19/16.41 (implies @ (implies @ q @ r) @ (implies @ (and @ p @ q) @ r))))
% 110.19/16.41 | ~ (theorem @ X0))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl13])).
% 110.19/16.41 thf(zip_derived_cl1611, plain,
% 110.19/16.41 (~ (theorem @
% 110.19/16.41 (implies @ (and @ p @ q) @ (implies @ (implies @ q @ r) @ r)))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl20])).
% 110.19/16.41 thf(zip_derived_cl7, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ X0)
% 110.19/16.41 | ~ (theorem @ (implies @ X1 @ X0))
% 110.19/16.41 | ~ (theorem @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [rule_2])).
% 110.19/16.41 thf(zip_derived_cl1625, plain,
% 110.19/16.41 (![X0 : $i]:
% 110.19/16.41 (~ (theorem @
% 110.19/16.41 (implies @ X0 @
% 110.19/16.41 (implies @ (and @ p @ q) @ (implies @ (implies @ q @ r) @ r))))
% 110.19/16.41 | ~ (theorem @ X0))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl1611, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl57762, plain,
% 110.19/16.41 (~ (theorem @ (implies @ (and @ p @ q) @ q))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl5216, zip_derived_cl1625])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl2766, plain,
% 110.19/16.41 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl2732, zip_derived_cl191])).
% 110.19/16.41 thf(zip_derived_cl56, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 110.19/16.41 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl1, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_3])).
% 110.19/16.41 thf(zip_derived_cl14, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl52, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ X0))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl393, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 ( (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 110.19/16.41 | ~ (theorem @ (or @ X1 @ X0)))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl52])).
% 110.19/16.41 thf(zip_derived_cl2849, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (or @ X1 @ (not @ X0))))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl2766, zip_derived_cl393])).
% 110.19/16.41 thf(zip_derived_cl3175, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (theorem @ (or @ X0 @ (implies @ X1 @ (not @ X0))))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2849])).
% 110.19/16.41 thf(zip_derived_cl2732, plain,
% 110.19/16.41 (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl2726, zip_derived_cl54])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl2, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_4])).
% 110.19/16.41 thf(zip_derived_cl22, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (axiom @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 110.19/16.41 thf(zip_derived_cl14, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl161, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ (implies @ X1 @ X0))
% 110.19/16.41 | ~ (theorem @ (or @ X0 @ (not @ X1))))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl234, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ (implies @ X0 @ (not @ X1)))
% 110.19/16.41 | ~ (theorem @ (implies @ X1 @ (not @ X0))))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl161])).
% 110.19/16.41 thf(zip_derived_cl2807, plain,
% 110.19/16.41 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl2732, zip_derived_cl234])).
% 110.19/16.41 thf(zip_derived_cl4, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 (axiom @
% 110.19/16.41 (implies @ (implies @ X0 @ X1) @
% 110.19/16.41 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 110.19/16.41 inference('cnf', [status(esa)], [axiom_1_6])).
% 110.19/16.41 thf(zip_derived_cl14, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (~ (axiom @ (implies @ X1 @ X0)) | (theorem @ X0) | ~ (theorem @ X1))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl53, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 110.19/16.41 | ~ (theorem @ (implies @ X2 @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl2908, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (theorem @
% 110.19/16.41 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0)))))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl2807, zip_derived_cl53])).
% 110.19/16.41 thf(zip_derived_cl161, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ (implies @ X1 @ X0))
% 110.19/16.41 | ~ (theorem @ (or @ X0 @ (not @ X1))))),
% 110.19/16.41 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl14])).
% 110.19/16.41 thf(zip_derived_cl7, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ X0)
% 110.19/16.41 | ~ (theorem @ (implies @ X1 @ X0))
% 110.19/16.41 | ~ (theorem @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [rule_2])).
% 110.19/16.41 thf(zip_derived_cl227, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.19/16.41 ( (theorem @ (implies @ X0 @ X1))
% 110.19/16.41 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ (not @ X0))))
% 110.19/16.41 | ~ (theorem @ X2))),
% 110.19/16.41 inference('s_sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl7])).
% 110.19/16.41 thf(zip_derived_cl29347, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ( (theorem @ (implies @ (not @ X0) @ X1))
% 110.19/16.41 | ~ (theorem @ (or @ X1 @ X0)))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl2908, zip_derived_cl227])).
% 110.19/16.41 thf(zip_derived_cl69502, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 (theorem @ (implies @ (not @ (implies @ X1 @ (not @ X0))) @ X0))),
% 110.19/16.41 inference('s_sup-', [status(thm)],
% 110.19/16.41 [zip_derived_cl3175, zip_derived_cl29347])).
% 110.19/16.41 thf(and_defn, axiom,
% 110.19/16.41 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 110.19/16.41 thf(zip_derived_cl8, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 110.19/16.41 inference('cnf', [status(esa)], [and_defn])).
% 110.19/16.41 thf(zip_derived_cl5, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 110.19/16.41 inference('cnf', [status(esa)], [implies_definition])).
% 110.19/16.41 thf(zip_derived_cl10, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]:
% 110.19/16.41 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 110.19/16.41 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 110.19/16.41 thf(zip_derived_cl69677, plain,
% 110.19/16.41 (![X0 : $i, X1 : $i]: (theorem @ (implies @ (and @ X1 @ X0) @ X0))),
% 110.19/16.41 inference('demod', [status(thm)], [zip_derived_cl69502, zip_derived_cl10])).
% 110.19/16.41 thf(zip_derived_cl69686, plain, ($false),
% 110.19/16.41 inference('demod', [status(thm)],
% 110.19/16.41 [zip_derived_cl57762, zip_derived_cl69677])).
% 110.19/16.41
% 110.19/16.41 % SZS output end Refutation
% 110.19/16.41
% 110.19/16.41
% 110.19/16.41 % Terminating...
% 110.58/16.53 % Runner terminated.
% 110.58/16.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------