TSTP Solution File: LCL323-3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PFn73JnkDn true
% Computer : n011.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 08:59:18 EDT 2023
% Result : Unsatisfiable 13.04s 2.51s
% Output : Refutation 13.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PFn73JnkDn true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 18:41:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.90/0.79 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.90/0.80 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.90/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.90/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.90/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.90/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.90/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.04/2.51 % Solved by fo/fo6_bce.sh.
% 13.04/2.51 % BCE start: 9
% 13.04/2.51 % BCE eliminated: 0
% 13.04/2.51 % PE start: 9
% 13.04/2.51 logic: eq
% 13.04/2.51 % PE eliminated: 1
% 13.04/2.51 % done 1084 iterations in 1.687s
% 13.04/2.51 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.04/2.51 % SZS output start Refutation
% 13.04/2.51 thf(r_type, type, r: $i).
% 13.04/2.51 thf(axiom_type, type, axiom: $i > $o).
% 13.04/2.51 thf(implies_type, type, implies: $i > $i > $i).
% 13.04/2.51 thf(p_type, type, p: $i).
% 13.04/2.51 thf(or_type, type, or: $i > $i > $i).
% 13.04/2.51 thf(q_type, type, q: $i).
% 13.04/2.51 thf(theorem_type, type, theorem: $i > $o).
% 13.04/2.51 thf(not_type, type, not: $i > $i).
% 13.04/2.51 thf(implies_definition, axiom,
% 13.04/2.51 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 13.04/2.51 thf(zip_derived_cl5, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.04/2.51 inference('cnf', [status(esa)], [implies_definition])).
% 13.04/2.51 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 13.04/2.51 thf(zip_derived_cl1, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 13.04/2.51 inference('cnf', [status(esa)], [axiom_1_3])).
% 13.04/2.51 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 13.04/2.51 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 13.04/2.51 inference('cnf', [status(esa)], [rule_1])).
% 13.04/2.51 thf(zip_derived_cl32, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 13.04/2.51 inference('dp-resolution', [status(thm)],
% 13.04/2.51 [zip_derived_cl1, zip_derived_cl6])).
% 13.04/2.51 thf(rule_2, axiom,
% 13.04/2.51 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 13.04/2.51 ( ~( theorem @ Y ) ))).
% 13.04/2.51 thf(zip_derived_cl7, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i]:
% 13.04/2.51 ( (theorem @ X0)
% 13.04/2.51 | ~ (theorem @ (implies @ X1 @ X0))
% 13.04/2.51 | ~ (theorem @ X1))),
% 13.04/2.51 inference('cnf', [status(esa)], [rule_2])).
% 13.04/2.51 thf(zip_derived_cl39, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i]: ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ X0))),
% 13.04/2.51 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl7])).
% 13.04/2.51 thf(axiom_1_5, axiom,
% 13.04/2.51 (axiom @
% 13.04/2.51 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 13.04/2.51 thf(zip_derived_cl3, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.04/2.51 (axiom @
% 13.04/2.51 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 13.04/2.51 inference('cnf', [status(esa)], [axiom_1_5])).
% 13.04/2.51 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 13.04/2.51 inference('cnf', [status(esa)], [rule_1])).
% 13.04/2.51 thf(zip_derived_cl34, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.04/2.51 (theorem @
% 13.04/2.51 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 13.04/2.51 inference('dp-resolution', [status(thm)],
% 13.04/2.51 [zip_derived_cl3, zip_derived_cl6])).
% 13.04/2.51 thf(zip_derived_cl7, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i]:
% 13.04/2.51 ( (theorem @ X0)
% 13.04/2.51 | ~ (theorem @ (implies @ X1 @ X0))
% 13.04/2.51 | ~ (theorem @ X1))),
% 13.04/2.51 inference('cnf', [status(esa)], [rule_2])).
% 13.04/2.51 thf(zip_derived_cl54, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.04/2.51 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 13.04/2.51 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 13.04/2.51 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 13.04/2.51 thf(zip_derived_cl80, plain,
% 13.04/2.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.04/2.52 (~ (theorem @ (or @ X1 @ X0))
% 13.04/2.52 | (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 13.04/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl54])).
% 13.04/2.52 thf(zip_derived_cl105, plain,
% 13.04/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.04/2.52 (~ (theorem @ (or @ X2 @ X0))
% 13.04/2.52 | (theorem @ (or @ X2 @ (implies @ X1 @ X0))))),
% 13.04/2.52 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl80])).
% 13.04/2.52 thf(axiom_1_4, axiom,
% 13.04/2.52 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 13.04/2.52 thf(zip_derived_cl2, plain,
% 13.04/2.52 (![X0 : $i, X1 : $i]:
% 13.04/2.52 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 13.04/2.52 inference('cnf', [status(esa)], [axiom_1_4])).
% 13.04/2.52 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 13.04/2.52 inference('cnf', [status(esa)], [rule_1])).
% 13.04/2.52 thf(zip_derived_cl33, plain,
% 13.04/2.52 (![X0 : $i, X1 : $i]:
% 13.04/2.52 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 13.04/2.52 inference('dp-resolution', [status(thm)],
% 13.04/2.52 [zip_derived_cl2, zip_derived_cl6])).
% 13.04/2.52 thf(zip_derived_cl7, plain,
% 13.04/2.52 (![X0 : $i, X1 : $i]:
% 13.04/2.52 ( (theorem @ X0)
% 13.04/2.52 | ~ (theorem @ (implies @ X1 @ X0))
% 13.04/2.52 | ~ (theorem @ X1))),
% 13.04/2.52 inference('cnf', [status(esa)], [rule_2])).
% 13.04/2.52 thf(zip_derived_cl44, plain,
% 13.04/2.52 (![X0 : $i, X1 : $i]:
% 13.04/2.52 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 13.04/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 13.04/2.52 thf(zip_derived_cl129, plain,
% 13.04/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.04/2.52 (~ (theorem @ (or @ X2 @ X0))
% 13.04/2.52 | (theorem @ (or @ (implies @ X1 @ X0) @ X2)))),
% 13.04/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl44])).
% 13.04/2.52 thf(zip_derived_cl129, plain,
% 13.04/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.04/2.52 (~ (theorem @ (or @ X2 @ X0))
% 13.04/2.52 | (theorem @ (or @ (implies @ X1 @ X0) @ X2)))),
% 13.04/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl44])).
% 13.04/2.52 thf(zip_derived_cl5, plain,
% 13.04/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.04/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl54, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 13.34/2.52 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl83, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (or @ (not @ X1) @ (or @ X2 @ X0)))
% 13.34/2.52 | ~ (theorem @ (or @ X2 @ (implies @ X1 @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl54])).
% 13.34/2.52 thf(zip_derived_cl5, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl86, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (implies @ X1 @ (or @ X2 @ X0)))
% 13.34/2.52 | ~ (theorem @ (or @ X2 @ (implies @ X1 @ X0))))),
% 13.34/2.52 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl5])).
% 13.34/2.52 thf(zip_derived_cl210, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ (implies @ X1 @ X0) @ X2))
% 13.34/2.52 | (theorem @ (implies @ X1 @ (or @ (implies @ X3 @ X2) @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl86])).
% 13.34/2.52 thf(zip_derived_cl7, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ X0)
% 13.34/2.52 | ~ (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [rule_2])).
% 13.34/2.52 thf(zip_derived_cl977, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ (implies @ X3 @ X0) @ X1))
% 13.34/2.52 | (theorem @ (or @ (implies @ X2 @ X1) @ X0))
% 13.34/2.52 | ~ (theorem @ X3))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl1036, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ X0 @ X1))
% 13.34/2.52 | (theorem @ (or @ (implies @ X3 @ X0) @ X1))
% 13.34/2.52 | ~ (theorem @ X2))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl977])).
% 13.34/2.52 thf(zip_derived_cl1042, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ X1 @ X0))
% 13.34/2.52 | (theorem @ (or @ (implies @ X2 @ X1) @ X0)))),
% 13.34/2.52 inference('condensation', [status(thm)], [zip_derived_cl1036])).
% 13.34/2.52 thf(prove_this, conjecture,
% 13.34/2.52 (theorem @ ( or @ ( implies @ p @ q ) @ ( implies @ q @ r ) ))).
% 13.34/2.52 thf(zf_stmt_0, negated_conjecture,
% 13.34/2.52 (~( theorem @ ( or @ ( implies @ p @ q ) @ ( implies @ q @ r ) ) )),
% 13.34/2.52 inference('cnf.neg', [status(esa)], [prove_this])).
% 13.34/2.52 thf(zip_derived_cl8, plain,
% 13.34/2.52 (~ (theorem @ (or @ (implies @ p @ q) @ (implies @ q @ r)))),
% 13.34/2.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.34/2.52 thf(zip_derived_cl1068, plain, (~ (theorem @ (or @ q @ (implies @ q @ r)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl1042, zip_derived_cl8])).
% 13.34/2.52 thf(zip_derived_cl5, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl33, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 13.34/2.52 inference('dp-resolution', [status(thm)],
% 13.34/2.52 [zip_derived_cl2, zip_derived_cl6])).
% 13.34/2.52 thf(zip_derived_cl46, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (theorem @ (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1))))),
% 13.34/2.52 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 13.34/2.52 thf(zip_derived_cl5, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl44, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl48, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X0 @ (not @ X1)))
% 13.34/2.52 | ~ (theorem @ (implies @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl44])).
% 13.34/2.52 thf(zip_derived_cl32, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 13.34/2.52 inference('dp-resolution', [status(thm)],
% 13.34/2.52 [zip_derived_cl1, zip_derived_cl6])).
% 13.34/2.52 thf(zip_derived_cl5, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl54, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 13.34/2.52 | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl82, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0)))
% 13.34/2.52 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl54])).
% 13.34/2.52 thf(zip_derived_cl5, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl85, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X1 @ (implies @ X2 @ X0)))
% 13.34/2.52 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 13.34/2.52 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl5])).
% 13.34/2.52 thf(zip_derived_cl80, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ X1 @ X0))
% 13.34/2.52 | (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl54])).
% 13.34/2.52 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 13.34/2.52 thf(zip_derived_cl0, plain,
% 13.34/2.52 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 13.34/2.52 inference('cnf', [status(esa)], [axiom_1_2])).
% 13.34/2.52 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 13.34/2.52 inference('cnf', [status(esa)], [rule_1])).
% 13.34/2.52 thf(zip_derived_cl31, plain,
% 13.34/2.52 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 13.34/2.52 inference('dp-resolution', [status(thm)],
% 13.34/2.52 [zip_derived_cl0, zip_derived_cl6])).
% 13.34/2.52 thf(zip_derived_cl7, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ X0)
% 13.34/2.52 | ~ (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [rule_2])).
% 13.34/2.52 thf(zip_derived_cl36, plain,
% 13.34/2.52 (![X0 : $i]: ( (theorem @ X0) | ~ (theorem @ (or @ X0 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl101, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ (or @ X1 @ X0) @ X0))
% 13.34/2.52 | (theorem @ (or @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl36])).
% 13.34/2.52 thf(zip_derived_cl114, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (~ (theorem @
% 13.34/2.52 (implies @ X1 @ (or @ (or @ X2 @ (implies @ X1 @ X0)) @ X0)))
% 13.34/2.52 | (theorem @ (or @ X2 @ (implies @ X1 @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl101])).
% 13.34/2.52 thf(zip_derived_cl367, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (implies @ X0 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl114])).
% 13.34/2.52 thf(zip_derived_cl32, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 13.34/2.52 inference('dp-resolution', [status(thm)],
% 13.34/2.52 [zip_derived_cl1, zip_derived_cl6])).
% 13.34/2.52 thf(zip_derived_cl85, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X1 @ (implies @ X2 @ X0)))
% 13.34/2.52 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 13.34/2.52 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl5])).
% 13.34/2.52 thf(zip_derived_cl36, plain,
% 13.34/2.52 (![X0 : $i]: ( (theorem @ X0) | ~ (theorem @ (or @ X0 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl87, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (implies @ X1 @ (or @ (implies @ X1 @ X0) @ X0)))
% 13.34/2.52 | (theorem @ (implies @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl36])).
% 13.34/2.52 thf(zip_derived_cl237, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl87])).
% 13.34/2.52 thf(zip_derived_cl5, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl48, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X0 @ (not @ X1)))
% 13.34/2.52 | ~ (theorem @ (implies @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl44])).
% 13.34/2.52 thf(zip_derived_cl73, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ (implies @ X1 @ (not @ X0)))
% 13.34/2.52 | ~ (theorem @ (implies @ X0 @ (not @ X1))))),
% 13.34/2.52 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl48])).
% 13.34/2.52 thf(zip_derived_cl240, plain,
% 13.34/2.52 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl73])).
% 13.34/2.52 thf(axiom_1_6, axiom,
% 13.34/2.52 (axiom @
% 13.34/2.52 ( implies @
% 13.34/2.52 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 13.34/2.52 thf(zip_derived_cl4, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (axiom @
% 13.34/2.52 (implies @ (implies @ X0 @ X1) @
% 13.34/2.52 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 13.34/2.52 inference('cnf', [status(esa)], [axiom_1_6])).
% 13.34/2.52 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 13.34/2.52 inference('cnf', [status(esa)], [rule_1])).
% 13.34/2.52 thf(zip_derived_cl35, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (theorem @
% 13.34/2.52 (implies @ (implies @ X2 @ X0) @
% 13.34/2.52 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 13.34/2.52 inference('dp-resolution', [status(thm)],
% 13.34/2.52 [zip_derived_cl4, zip_derived_cl6])).
% 13.34/2.52 thf(zip_derived_cl7, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ X0)
% 13.34/2.52 | ~ (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [rule_2])).
% 13.34/2.52 thf(zip_derived_cl66, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 13.34/2.52 | ~ (theorem @ (implies @ X2 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl7, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ X0)
% 13.34/2.52 | ~ (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [rule_2])).
% 13.34/2.52 thf(zip_derived_cl157, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (~ (theorem @ (implies @ X2 @ X0))
% 13.34/2.52 | (theorem @ (or @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ (or @ X1 @ X2)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl587, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X1 @ (not @ (not @ X0))))
% 13.34/2.52 | ~ (theorem @ (or @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl157])).
% 13.34/2.52 thf(zip_derived_cl5, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl33, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 13.34/2.52 inference('dp-resolution', [status(thm)],
% 13.34/2.52 [zip_derived_cl2, zip_derived_cl6])).
% 13.34/2.52 thf(zip_derived_cl45, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 13.34/2.52 thf(zip_derived_cl7, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ X0)
% 13.34/2.52 | ~ (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [rule_2])).
% 13.34/2.52 thf(zip_derived_cl78, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ (or @ X0 @ (not @ X1))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl1264, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ X1 @ X0))
% 13.34/2.52 | (theorem @ (implies @ (not @ X0) @ X1)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl587, zip_derived_cl78])).
% 13.34/2.52 thf(zip_derived_cl66, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))
% 13.34/2.52 | ~ (theorem @ (implies @ X2 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl85, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X1 @ (implies @ X2 @ X0)))
% 13.34/2.52 | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 13.34/2.52 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl5])).
% 13.34/2.52 thf(zip_derived_cl44, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl88, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (~ (theorem @ (implies @ X1 @ (or @ X2 @ X0)))
% 13.34/2.52 | (theorem @ (or @ (implies @ X1 @ X0) @ X2)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl44])).
% 13.34/2.52 thf(zip_derived_cl5, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [implies_definition])).
% 13.34/2.52 thf(zip_derived_cl101, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ (or @ X1 @ X0) @ X0))
% 13.34/2.52 | (theorem @ (or @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl36])).
% 13.34/2.52 thf(zip_derived_cl117, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ (implies @ X1 @ X0) @ X0))
% 13.34/2.52 | (theorem @ (implies @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl101])).
% 13.34/2.52 thf(zip_derived_cl249, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (implies @ X1 @ (or @ X0 @ X0)))
% 13.34/2.52 | (theorem @ (implies @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl117])).
% 13.34/2.52 thf(zip_derived_cl304, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | (theorem @ (implies @ (or @ X0 @ X1) @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl249])).
% 13.34/2.52 thf(zip_derived_cl7, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ X0)
% 13.34/2.52 | ~ (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ X1))),
% 13.34/2.52 inference('cnf', [status(esa)], [rule_2])).
% 13.34/2.52 thf(zip_derived_cl1949, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (implies @ X1 @ X0))
% 13.34/2.52 | (theorem @ X0)
% 13.34/2.52 | ~ (theorem @ (or @ X0 @ X1)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl304, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl2166, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ X0 @ X1))
% 13.34/2.52 | (theorem @ X0)
% 13.34/2.52 | ~ (theorem @ (or @ X0 @ (not @ X1))))),
% 13.34/2.52 inference('s_sup-', [status(thm)],
% 13.34/2.52 [zip_derived_cl1264, zip_derived_cl1949])).
% 13.34/2.52 thf(zip_derived_cl3062, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 ( (theorem @ X1)
% 13.34/2.52 | ~ (theorem @ (or @ X1 @ (not @ (implies @ X0 @ X0)))))),
% 13.34/2.52 inference('s_sup-', [status(thm)],
% 13.34/2.52 [zip_derived_cl367, zip_derived_cl2166])).
% 13.34/2.52 thf(zip_derived_cl3104, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (~ (theorem @ (implies @ (implies @ X0 @ X0) @ X1)) | (theorem @ X1))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl3062])).
% 13.34/2.52 thf(zip_derived_cl3383, plain,
% 13.34/2.52 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl3104])).
% 13.34/2.52 thf(zip_derived_cl80, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ X1 @ X0))
% 13.34/2.52 | (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl54])).
% 13.34/2.52 thf(zip_derived_cl45, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]:
% 13.34/2.52 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 13.34/2.52 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl33])).
% 13.34/2.52 thf(zip_derived_cl157, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (~ (theorem @ (implies @ X2 @ X0))
% 13.34/2.52 | (theorem @ (or @ X1 @ X0))
% 13.34/2.52 | ~ (theorem @ (or @ X1 @ X2)))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl7])).
% 13.34/2.52 thf(zip_derived_cl596, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 ( (theorem @ (or @ X2 @ (implies @ X1 @ X0)))
% 13.34/2.52 | ~ (theorem @ (or @ X2 @ (or @ X0 @ (not @ X1)))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl157])).
% 13.34/2.52 thf(zip_derived_cl780, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.34/2.52 (~ (theorem @ (or @ X2 @ (not @ X0)))
% 13.34/2.52 | (theorem @ (or @ X2 @ (implies @ X0 @ X1))))),
% 13.34/2.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl596])).
% 13.34/2.52 thf(zip_derived_cl4899, plain,
% 13.34/2.52 (![X0 : $i, X1 : $i]: (theorem @ (or @ X0 @ (implies @ X0 @ X1)))),
% 13.34/2.52 inference('s_sup-', [status(thm)],
% 13.34/2.52 [zip_derived_cl3383, zip_derived_cl780])).
% 13.34/2.52 thf(zip_derived_cl4969, plain, ($false),
% 13.34/2.52 inference('demod', [status(thm)],
% 13.34/2.52 [zip_derived_cl1068, zip_derived_cl4899])).
% 13.34/2.52
% 13.34/2.52 % SZS output end Refutation
% 13.34/2.52
% 13.34/2.52
% 13.34/2.52 % Terminating...
% 13.51/2.59 % Runner terminated.
% 13.51/2.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------