TSTP Solution File: LCL265-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL265-3 : 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.IbKgrAqJF3 true
% Computer : n029.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 08:59:08 EDT 2023
% Result : Unsatisfiable 57.92s 8.99s
% Output : Refutation 57.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL265-3 : 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.IbKgrAqJF3 true
% 0.13/0.35 % Computer : n029.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 20:09:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.13/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 57.92/8.99 % Solved by fo/fo5.sh.
% 57.92/8.99 % done 7694 iterations in 8.163s
% 57.92/8.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 57.92/8.99 % SZS output start Refutation
% 57.92/8.99 thf(axiom_type, type, axiom: $i > $o).
% 57.92/8.99 thf(implies_type, type, implies: $i > $i > $i).
% 57.92/8.99 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 57.92/8.99 thf(p_type, type, p: $i).
% 57.92/8.99 thf(or_type, type, or: $i > $i > $i).
% 57.92/8.99 thf(and_type, type, and: $i > $i > $i).
% 57.92/8.99 thf(theorem_type, type, theorem: $i > $o).
% 57.92/8.99 thf(not_type, type, not: $i > $i).
% 57.92/8.99 thf(prove_this, conjecture,
% 57.92/8.99 (theorem @ ( equivalent @ p @ ( not @ ( not @ p ) ) ))).
% 57.92/8.99 thf(zf_stmt_0, negated_conjecture,
% 57.92/8.99 (~( theorem @ ( equivalent @ p @ ( not @ ( not @ p ) ) ) )),
% 57.92/8.99 inference('cnf.neg', [status(esa)], [prove_this])).
% 57.92/8.99 thf(zip_derived_cl10, plain,
% 57.92/8.99 (~ (theorem @ (equivalent @ p @ (not @ (not @ p))))),
% 57.92/8.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 57.92/8.99 thf(equivalent_defn, axiom,
% 57.92/8.99 (( equivalent @ P @ Q ) =
% 57.92/8.99 ( and @ ( implies @ P @ Q ) @ ( implies @ Q @ P ) ))).
% 57.92/8.99 thf(zip_derived_cl9, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ((equivalent @ X0 @ X1)
% 57.92/8.99 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 57.92/8.99 inference('cnf', [status(esa)], [equivalent_defn])).
% 57.92/8.99 thf(implies_definition, axiom,
% 57.92/8.99 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(axiom_1_4, axiom,
% 57.92/8.99 (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 57.92/8.99 thf(zip_derived_cl2, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 57.92/8.99 inference('cnf', [status(esa)], [axiom_1_4])).
% 57.92/8.99 thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 57.92/8.99 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_1])).
% 57.92/8.99 thf(zip_derived_cl21, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(axiom_1_5, axiom,
% 57.92/8.99 (axiom @
% 57.92/8.99 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 57.92/8.99 thf(zip_derived_cl3, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (axiom @
% 57.92/8.99 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 57.92/8.99 inference('cnf', [status(esa)], [axiom_1_5])).
% 57.92/8.99 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_1])).
% 57.92/8.99 thf(zip_derived_cl42, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (theorem @
% 57.92/8.99 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 57.92/8.99 thf(rule_2, axiom,
% 57.92/8.99 (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) |
% 57.92/8.99 ( ~( theorem @ Y ) ))).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl354, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (~ (theorem @ (or @ X1 @ (or @ X2 @ X0)))
% 57.92/8.99 | (theorem @ (or @ X2 @ (or @ X1 @ X0))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl395, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 57.92/8.99 | (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl354])).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(zip_derived_cl398, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 57.92/8.99 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 57.92/8.99 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl5])).
% 57.92/8.99 thf(zip_derived_cl786, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @ (or @ X1 @ (implies @ (or @ X0 @ X1) @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl398])).
% 57.92/8.99 thf(zip_derived_cl1331, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @ (implies @ X1 @ (implies @ (or @ X0 @ (not @ X1)) @ X0)))),
% 57.92/8.99 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl786])).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl6888, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ X1)
% 57.92/8.99 | (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl1331, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 57.92/8.99 thf(zip_derived_cl1, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 57.92/8.99 inference('cnf', [status(esa)], [axiom_1_3])).
% 57.92/8.99 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_1])).
% 57.92/8.99 thf(zip_derived_cl13, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 57.92/8.99 thf(zip_derived_cl398, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (~ (theorem @ (implies @ X2 @ (or @ X1 @ X0)))
% 57.92/8.99 | (theorem @ (or @ X1 @ (implies @ X2 @ X0))))),
% 57.92/8.99 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl5])).
% 57.92/8.99 thf(zip_derived_cl778, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: (theorem @ (or @ X1 @ (implies @ X0 @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl398])).
% 57.92/8.99 thf(axiom_1_2, axiom, (axiom @ ( implies @ ( or @ A @ A ) @ A ))).
% 57.92/8.99 thf(zip_derived_cl0, plain,
% 57.92/8.99 (![X0 : $i]: (axiom @ (implies @ (or @ X0 @ X0) @ X0))),
% 57.92/8.99 inference('cnf', [status(esa)], [axiom_1_2])).
% 57.92/8.99 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_1])).
% 57.92/8.99 thf(zip_derived_cl11, plain,
% 57.92/8.99 (![X0 : $i]: (theorem @ (implies @ (or @ X0 @ X0) @ X0))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl17, plain,
% 57.92/8.99 (![X0 : $i]: (~ (theorem @ (or @ X0 @ X0)) | (theorem @ X0))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl793, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl778, zip_derived_cl17])).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(zip_derived_cl21, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 57.92/8.99 thf(zip_derived_cl67, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @ (implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)))),
% 57.92/8.99 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl21])).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl268, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 57.92/8.99 | (theorem @ (implies @ X1 @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl295, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ (implies @ X1 @ (not @ X0)))
% 57.92/8.99 | (theorem @ (implies @ X0 @ (not @ X1))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl268])).
% 57.92/8.99 thf(zip_derived_cl812, plain,
% 57.92/8.99 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl793, zip_derived_cl295])).
% 57.92/8.99 thf(zip_derived_cl786, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @ (or @ X1 @ (implies @ (or @ X0 @ X1) @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl398])).
% 57.92/8.99 thf(and_defn, axiom,
% 57.92/8.99 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 57.92/8.99 thf(zip_derived_cl8, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 57.92/8.99 inference('cnf', [status(esa)], [and_defn])).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(zip_derived_cl32, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 57.92/8.99 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(zip_derived_cl33, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 57.92/8.99 = (or @ (and @ X1 @ X0) @ X2))),
% 57.92/8.99 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl158, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (~ (theorem @ (or @ (and @ X2 @ X1) @ X0))
% 57.92/8.99 | ~ (theorem @ (implies @ X2 @ (not @ X1)))
% 57.92/8.99 | (theorem @ X0))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl1330, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 ( (theorem @ (implies @ (or @ X0 @ (and @ X2 @ X1)) @ X0))
% 57.92/8.99 | ~ (theorem @ (implies @ X2 @ (not @ X1))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl786, zip_derived_cl158])).
% 57.92/8.99 thf(zip_derived_cl29368, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @ (implies @ (or @ X1 @ (and @ X0 @ (not @ X0))) @ X1))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl812, zip_derived_cl1330])).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl29700, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ (or @ X0 @ (and @ X1 @ (not @ X1)))) | (theorem @ X0))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl29368, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl29978, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ (implies @ X1 @ (and @ X0 @ (not @ X0))))
% 57.92/8.99 | (theorem @ (not @ X1)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl29700])).
% 57.92/8.99 thf(zip_derived_cl30034, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ X1)
% 57.92/8.99 | (theorem @ (not @ (or @ (and @ X0 @ (not @ X0)) @ (not @ X1)))))),
% 57.92/8.99 inference('sup-', [status(thm)],
% 57.92/8.99 [zip_derived_cl6888, zip_derived_cl29978])).
% 57.92/8.99 thf(zip_derived_cl33, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 57.92/8.99 = (or @ (and @ X1 @ X0) @ X2))),
% 57.92/8.99 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 57.92/8.99 thf(zip_derived_cl32, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 57.92/8.99 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 57.92/8.99 thf(zip_derived_cl174, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 ((and @ (implies @ X2 @ (not @ X1)) @ X0)
% 57.92/8.99 = (not @ (or @ (and @ X2 @ X1) @ (not @ X0))))),
% 57.92/8.99 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl32])).
% 57.92/8.99 thf(zip_derived_cl30061, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ X1)
% 57.92/8.99 | (theorem @ (and @ (implies @ X0 @ (not @ (not @ X0))) @ X1)))),
% 57.92/8.99 inference('demod', [status(thm)],
% 57.92/8.99 [zip_derived_cl30034, zip_derived_cl174])).
% 57.92/8.99 thf(zip_derived_cl36342, plain,
% 57.92/8.99 (![X0 : $i]:
% 57.92/8.99 ( (theorem @ (equivalent @ X0 @ (not @ (not @ X0))))
% 57.92/8.99 | ~ (theorem @ (implies @ (not @ (not @ X0)) @ X0)))),
% 57.92/8.99 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl30061])).
% 57.92/8.99 thf(zip_derived_cl793, plain, (![X0 : $i]: (theorem @ (implies @ X0 @ X0))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl778, zip_derived_cl17])).
% 57.92/8.99 thf(zip_derived_cl5, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [implies_definition])).
% 57.92/8.99 thf(zip_derived_cl21, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl66, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ (or @ X0 @ X1)) | (theorem @ (or @ X1 @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl70, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | (theorem @ (or @ X0 @ (not @ X1))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl66])).
% 57.92/8.99 thf(zip_derived_cl808, plain,
% 57.92/8.99 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl793, zip_derived_cl70])).
% 57.92/8.99 thf(zip_derived_cl812, plain,
% 57.92/8.99 (![X0 : $i]: (theorem @ (implies @ X0 @ (not @ (not @ X0))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl793, zip_derived_cl295])).
% 57.92/8.99 thf(axiom_1_6, axiom,
% 57.92/8.99 (axiom @
% 57.92/8.99 ( implies @
% 57.92/8.99 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ))).
% 57.92/8.99 thf(zip_derived_cl4, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (axiom @
% 57.92/8.99 (implies @ (implies @ X0 @ X1) @
% 57.92/8.99 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))),
% 57.92/8.99 inference('cnf', [status(esa)], [axiom_1_6])).
% 57.92/8.99 thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_1])).
% 57.92/8.99 thf(zip_derived_cl52, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (theorem @
% 57.92/8.99 (implies @ (implies @ X2 @ X0) @
% 57.92/8.99 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl687, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 57.92/8.99 (~ (theorem @ (implies @ X2 @ X0))
% 57.92/8.99 | (theorem @ (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl13383, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (theorem @
% 57.92/8.99 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0)))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl812, zip_derived_cl687])).
% 57.92/8.99 thf(zip_derived_cl7, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 ( (theorem @ X0)
% 57.92/8.99 | ~ (theorem @ (implies @ X1 @ X0))
% 57.92/8.99 | ~ (theorem @ X1))),
% 57.92/8.99 inference('cnf', [status(esa)], [rule_2])).
% 57.92/8.99 thf(zip_derived_cl41062, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ (or @ X1 @ X0))
% 57.92/8.99 | (theorem @ (or @ X1 @ (not @ (not @ X0)))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl13383, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl41322, plain,
% 57.92/8.99 (![X0 : $i]: (theorem @ (or @ X0 @ (not @ (not @ (not @ X0)))))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl808, zip_derived_cl41062])).
% 57.92/8.99 thf(zip_derived_cl268, plain,
% 57.92/8.99 (![X0 : $i, X1 : $i]:
% 57.92/8.99 (~ (theorem @ (or @ X0 @ (not @ X1)))
% 57.92/8.99 | (theorem @ (implies @ X1 @ X0)))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl7])).
% 57.92/8.99 thf(zip_derived_cl41747, plain,
% 57.92/8.99 (![X0 : $i]: (theorem @ (implies @ (not @ (not @ X0)) @ X0))),
% 57.92/8.99 inference('sup-', [status(thm)], [zip_derived_cl41322, zip_derived_cl268])).
% 57.92/8.99 thf(zip_derived_cl41803, plain,
% 57.92/8.99 (![X0 : $i]: (theorem @ (equivalent @ X0 @ (not @ (not @ X0))))),
% 57.92/8.99 inference('demod', [status(thm)],
% 57.92/8.99 [zip_derived_cl36342, zip_derived_cl41747])).
% 57.92/8.99 thf(zip_derived_cl41911, plain, ($false),
% 57.92/8.99 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl41803])).
% 57.92/8.99
% 57.92/8.99 % SZS output end Refutation
% 57.92/8.99
% 57.92/8.99
% 57.92/8.99 % Terminating...
% 58.85/9.08 % Runner terminated.
% 58.87/9.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------