%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL265-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5nO9CcLoXQ true
% Computer : n005.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 01:35:37 PM UTC 2026
% Result : Unsatisfiable 230.55s 39.22s
% Output : Refutation 230.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL265-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5nO9CcLoXQ true
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 00:50:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.12.3
% 0.10/0.37 % 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
% 0.50/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 230.55/39.22 % Solved by fo/fo4.sh.
% 230.55/39.22 % done 8549 iterations in 38.338s
% 230.55/39.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 230.55/39.22 % SZS output start Refutation
% 230.55/39.22 thf(theorem_type, type, theorem: $i > $i).
% 230.55/39.22 thf(implies_type, type, implies: $i > $i > $i).
% 230.55/39.22 thf(and_type, type, and: $i > $i > $i).
% 230.55/39.22 thf(not_type, type, not: $i > $i).
% 230.55/39.22 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 230.55/39.22 thf(or_type, type, or: $i > $i > $i).
% 230.55/39.22 thf(true_type, type, true: $i).
% 230.55/39.22 thf(p_type, type, p: $i).
% 230.55/39.22 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 230.55/39.22 thf(axiom_type, type, axiom: $i > $i).
% 230.55/39.22 thf(prove_this, conjecture,
% 230.55/39.22 (( theorem @ ( equivalent @ p @ ( not @ ( not @ p ) ) ) ) = ( true ))).
% 230.55/39.22 thf(zf_stmt_0, negated_conjecture,
% 230.55/39.22 (( theorem @ ( equivalent @ p @ ( not @ ( not @ p ) ) ) ) != ( true )),
% 230.55/39.22 inference('cnf.neg', [status(esa)], [prove_this])).
% 230.55/39.22 thf(zip_derived_cl11, plain,
% 230.55/39.22 (((theorem @ (equivalent @ p @ (not @ (not @ p)))) != (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [zf_stmt_0])).
% 230.55/39.22 thf(equivalent_defn, axiom,
% 230.55/39.22 (( equivalent @ P @ Q ) =
% 230.55/39.22 ( and @ ( implies @ P @ Q ) @ ( implies @ Q @ P ) ))).
% 230.55/39.22 thf(zip_derived_cl10, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((equivalent @ X0 @ X1)
% 230.55/39.22 = (and @ (implies @ X0 @ X1) @ (implies @ X1 @ X0)))),
% 230.55/39.22 inference('cnf', [status(esa)], [equivalent_defn])).
% 230.55/39.22 thf(and_defn, axiom,
% 230.55/39.22 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 230.55/39.22 thf(zip_derived_cl9, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 230.55/39.22 inference('cnf', [status(esa)], [and_defn])).
% 230.55/39.22 thf(implies_definition, axiom,
% 230.55/39.22 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 230.55/39.22 thf(zip_derived_cl6, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 230.55/39.22 inference('cnf', [status(esa)], [implies_definition])).
% 230.55/39.22 thf(zip_derived_cl14, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((and @ X0 @ X1) = (not @ (implies @ X0 @ (not @ X1))))),
% 230.55/39.22 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 230.55/39.22 thf(zip_derived_cl6, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 230.55/39.22 inference('cnf', [status(esa)], [implies_definition])).
% 230.55/39.22 thf(zip_derived_cl15, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 230.55/39.22 = (or @ (and @ X1 @ X0) @ X2))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl6])).
% 230.55/39.22 thf(zip_derived_cl15, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 230.55/39.22 = (or @ (and @ X1 @ X0) @ X2))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl6])).
% 230.55/39.22 thf(zip_derived_cl27, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 230.55/39.22 ((implies @ (or @ (and @ X2 @ X1) @ (not @ X0)) @ X3)
% 230.55/39.22 = (or @ (and @ (implies @ X2 @ (not @ X1)) @ X0) @ X3))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl15])).
% 230.55/39.22 thf(zip_derived_cl161, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((implies @
% 230.55/39.22 (or @ (and @ X1 @ X0) @ (not @ (implies @ (not @ X0) @ X1))) @ X2)
% 230.55/39.22 = (or @ (equivalent @ X1 @ (not @ X0)) @ X2))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl27])).
% 230.55/39.22 thf(zip_derived_cl6, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 230.55/39.22 inference('cnf', [status(esa)], [implies_definition])).
% 230.55/39.22 thf(axiom_1_5, axiom,
% 230.55/39.22 (( axiom @
% 230.55/39.22 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ) ) =
% 230.55/39.22 ( true ))).
% 230.55/39.22 thf(zip_derived_cl4, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((axiom @
% 230.55/39.22 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [axiom_1_5])).
% 230.55/39.22 thf(rule_1, axiom,
% 230.55/39.22 (( ifeq @ ( axiom @ X ) @ true @ ( theorem @ X ) @ true ) = ( true ))).
% 230.55/39.22 thf(zip_derived_cl7, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_1])).
% 230.55/39.22 thf(zip_derived_cl78, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (theorem @
% 230.55/39.22 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 230.55/39.22 thf(zip_derived_cl2694, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (theorem @
% 230.55/39.22 (implies @ (or @ (not @ X1) @ (or @ X2 @ X0)) @
% 230.55/39.22 (or @ X2 @ (implies @ X1 @ X0)))) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl78])).
% 230.55/39.22 thf(zip_derived_cl6, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 230.55/39.22 inference('cnf', [status(esa)], [implies_definition])).
% 230.55/39.22 thf(ifeq_axiom, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl2706, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((theorem @
% 230.55/39.22 (implies @ (implies @ X1 @ (or @ X2 @ X0)) @
% 230.55/39.22 (or @ X2 @ (implies @ X1 @ X0))))
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('demod', [status(thm)],
% 230.55/39.22 [zip_derived_cl2694, zip_derived_cl6, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl2706, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((theorem @
% 230.55/39.22 (implies @ (implies @ X1 @ (or @ X2 @ X0)) @
% 230.55/39.22 (or @ X2 @ (implies @ X1 @ X0))))
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('demod', [status(thm)],
% 230.55/39.22 [zip_derived_cl2694, zip_derived_cl6, zip_derived_cl0])).
% 230.55/39.22 thf(axiom_1_3, axiom,
% 230.55/39.22 (( axiom @ ( implies @ A @ ( or @ B @ A ) ) ) = ( true ))).
% 230.55/39.22 thf(zip_derived_cl2, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((axiom @ (implies @ X0 @ (or @ X1 @ X0))) = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [axiom_1_3])).
% 230.55/39.22 thf(zip_derived_cl7, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_1])).
% 230.55/39.22 thf(zip_derived_cl18, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @ (theorem @ (implies @ X0 @ (or @ X1 @ X0))) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl44, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((true) = (theorem @ (implies @ X0 @ (or @ X1 @ X0))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 230.55/39.22 thf(rule_2, axiom,
% 230.55/39.22 (( ifeq @
% 230.55/39.22 ( theorem @ ( implies @ Y @ X ) ) @ true @
% 230.55/39.22 ( ifeq @ ( theorem @ Y ) @ true @ ( theorem @ X ) @ true ) @ true ) =
% 230.55/39.22 ( true ))).
% 230.55/39.22 thf(zip_derived_cl8, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 230.55/39.22 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_2])).
% 230.55/39.22 thf(zip_derived_cl100, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((ifeq @
% 230.55/39.22 (theorem @ (implies @ (implies @ X1 @ (or @ X2 @ X1)) @ X0)) @
% 230.55/39.22 true @ (ifeq @ true @ true @ (theorem @ X0) @ true) @ true) = (
% 230.55/39.22 true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl8])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl109, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((ifeq @
% 230.55/39.22 (theorem @ (implies @ (implies @ X1 @ (or @ X2 @ X1)) @ X0)) @
% 230.55/39.22 true @ (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl6998, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @ (theorem @ (or @ X1 @ (implies @ X0 @ X0))) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl2706, zip_derived_cl109])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl7032, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((true) = (theorem @ (or @ X1 @ (implies @ X0 @ X0))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl6998, zip_derived_cl0])).
% 230.55/39.22 thf(axiom_1_2, axiom,
% 230.55/39.22 (( axiom @ ( implies @ ( or @ A @ A ) @ A ) ) = ( true ))).
% 230.55/39.22 thf(zip_derived_cl1, plain,
% 230.55/39.22 (![X0 : $i]: ((axiom @ (implies @ (or @ X0 @ X0) @ X0)) = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [axiom_1_2])).
% 230.55/39.22 thf(zip_derived_cl7, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_1])).
% 230.55/39.22 thf(zip_derived_cl19, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @ (theorem @ (implies @ (or @ X0 @ X0) @ X0)) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl56, plain,
% 230.55/39.22 (![X0 : $i]: ((true) = (theorem @ (implies @ (or @ X0 @ X0) @ X0)))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl8, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 230.55/39.22 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_2])).
% 230.55/39.22 thf(zip_derived_cl106, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (ifeq @ (theorem @ (or @ X0 @ X0)) @ true @ (theorem @ X0) @ true) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl8])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl366, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((true)
% 230.55/39.22 = (ifeq @ (theorem @ (or @ X0 @ X0)) @ true @ (theorem @ X0) @ true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl7177, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((true)
% 230.55/39.22 = (ifeq @ true @ true @ (theorem @ (implies @ X0 @ X0)) @ true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl7032, zip_derived_cl366])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl7223, plain,
% 230.55/39.22 (![X0 : $i]: ((true) = (theorem @ (implies @ X0 @ X0)))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl7177, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl8, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 230.55/39.22 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_2])).
% 230.55/39.22 thf(zip_derived_cl7253, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ (implies @ X1 @ X1) @ X0)) @ true @
% 230.55/39.22 (ifeq @ true @ true @ (theorem @ X0) @ true) @ true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl7223, zip_derived_cl8])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl7278, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ (implies @ X1 @ X1) @ X0)) @ true @
% 230.55/39.22 (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('demod', [status(thm)], [zip_derived_cl7253, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl8924, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (theorem @ (or @ X1 @ (implies @ (or @ X1 @ X0) @ X0))) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl2706, zip_derived_cl7278])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl20509, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((true) = (theorem @ (or @ X1 @ (implies @ (or @ X1 @ X0) @ X0))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl8924, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl6, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 230.55/39.22 inference('cnf', [status(esa)], [implies_definition])).
% 230.55/39.22 thf(zip_derived_cl6, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 230.55/39.22 inference('cnf', [status(esa)], [implies_definition])).
% 230.55/39.22 thf(axiom_1_4, axiom,
% 230.55/39.22 (( axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ) ) = ( true ))).
% 230.55/39.22 thf(zip_derived_cl3, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0))) = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [axiom_1_4])).
% 230.55/39.22 thf(zip_derived_cl7, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_1])).
% 230.55/39.22 thf(zip_derived_cl34, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0))) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl1149, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((true) = (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl1171, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((true)
% 230.55/39.22 = (theorem @
% 230.55/39.22 (implies @ (implies @ X1 @ X0) @ (or @ X0 @ (not @ X1)))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1149])).
% 230.55/39.22 thf(zip_derived_cl7278, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ (implies @ X1 @ X1) @ X0)) @ true @
% 230.55/39.22 (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('demod', [status(thm)], [zip_derived_cl7253, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl8923, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @ (theorem @ (or @ X0 @ (not @ X0))) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl1171, zip_derived_cl7278])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl8973, plain,
% 230.55/39.22 (![X0 : $i]: ((true) = (theorem @ (or @ X0 @ (not @ X0))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl8923, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl9004, plain,
% 230.55/39.22 (![X0 : $i]: ((true) = (theorem @ (implies @ X0 @ (not @ (not @ X0)))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl8973])).
% 230.55/39.22 thf(zip_derived_cl8, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 230.55/39.22 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_2])).
% 230.55/39.22 thf(zip_derived_cl9019, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @
% 230.55/39.22 (theorem @ (implies @ (implies @ X1 @ (not @ (not @ X1))) @ X0)) @
% 230.55/39.22 true @ (ifeq @ true @ true @ (theorem @ X0) @ true) @ true) = (
% 230.55/39.22 true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl9004, zip_derived_cl8])).
% 230.55/39.22 thf(zip_derived_cl15, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 230.55/39.22 = (or @ (and @ X1 @ X0) @ X2))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl6])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl9063, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (or @ (and @ X1 @ (not @ X1)) @ X0)) @ true @
% 230.55/39.22 (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('demod', [status(thm)],
% 230.55/39.22 [zip_derived_cl9019, zip_derived_cl15, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl20564, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (theorem @ (implies @ (or @ (and @ X1 @ (not @ X1)) @ X0) @ X0)) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)],
% 230.55/39.22 [zip_derived_cl20509, zip_derived_cl9063])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl43584, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((true)
% 230.55/39.22 = (theorem @ (implies @ (or @ (and @ X1 @ (not @ X1)) @ X0) @ X0)))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl20564, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl44808, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((true)
% 230.55/39.22 = (theorem @
% 230.55/39.22 (or @ (equivalent @ X0 @ (not @ (not @ X0))) @
% 230.55/39.22 (not @ (implies @ (not @ (not @ X0)) @ X0)))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl43584])).
% 230.55/39.22 thf(zip_derived_cl1149, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((true) = (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl8, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 230.55/39.22 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_2])).
% 230.55/39.22 thf(zip_derived_cl1166, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (ifeq @ (theorem @ (or @ X0 @ X1)) @ true @
% 230.55/39.22 (theorem @ (or @ X1 @ X0)) @ true) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl8])).
% 230.55/39.22 thf(zip_derived_cl125549, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (ifeq @ true @ true @
% 230.55/39.22 (theorem @
% 230.55/39.22 (or @ (not @ (implies @ (not @ (not @ X0)) @ X0)) @
% 230.55/39.22 (equivalent @ X0 @ (not @ (not @ X0))))) @
% 230.55/39.22 true) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)],
% 230.55/39.22 [zip_derived_cl44808, zip_derived_cl1166])).
% 230.55/39.22 thf(zip_derived_cl6, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 230.55/39.22 inference('cnf', [status(esa)], [implies_definition])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl125872, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((theorem @
% 230.55/39.22 (implies @ (implies @ (not @ (not @ X0)) @ X0) @
% 230.55/39.22 (equivalent @ X0 @ (not @ (not @ X0)))))
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('demod', [status(thm)],
% 230.55/39.22 [zip_derived_cl125549, zip_derived_cl6, zip_derived_cl0,
% 230.55/39.22 zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl8, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 230.55/39.22 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_2])).
% 230.55/39.22 thf(zip_derived_cl141856, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (ifeq @ (theorem @ (implies @ (not @ (not @ X0)) @ X0)) @ true @
% 230.55/39.22 (theorem @ (equivalent @ X0 @ (not @ (not @ X0)))) @ true) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl125872, zip_derived_cl8])).
% 230.55/39.22 thf(zip_derived_cl15, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((implies @ (implies @ X1 @ (not @ X0)) @ X2)
% 230.55/39.22 = (or @ (and @ X1 @ X0) @ X2))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl6])).
% 230.55/39.22 thf(axiom_1_6, axiom,
% 230.55/39.22 (( axiom @
% 230.55/39.22 ( implies @
% 230.55/39.22 ( implies @ A @ B ) @ ( implies @ ( or @ C @ A ) @ ( or @ C @ B ) ) ) ) =
% 230.55/39.22 ( true ))).
% 230.55/39.22 thf(zip_derived_cl5, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((axiom @
% 230.55/39.22 (implies @ (implies @ X0 @ X1) @
% 230.55/39.22 (implies @ (or @ X2 @ X0) @ (or @ X2 @ X1))))
% 230.55/39.22 = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [axiom_1_6])).
% 230.55/39.22 thf(zip_derived_cl7, plain,
% 230.55/39.22 (![X0 : $i]:
% 230.55/39.22 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('cnf', [status(esa)], [rule_1])).
% 230.55/39.22 thf(zip_derived_cl87, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (theorem @
% 230.55/39.22 (implies @ (implies @ X2 @ X0) @
% 230.55/39.22 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl7])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl3116, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((true)
% 230.55/39.22 = (theorem @
% 230.55/39.22 (implies @ (implies @ X2 @ X0) @
% 230.55/39.22 (implies @ (or @ X1 @ X2) @ (or @ X1 @ X0)))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl12224, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 230.55/39.22 ((true)
% 230.55/39.22 = (theorem @
% 230.55/39.22 (or @ (and @ X2 @ X0) @
% 230.55/39.22 (implies @ (or @ X1 @ X2) @ (or @ X1 @ (not @ X0))))))),
% 230.55/39.22 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl3116])).
% 230.55/39.22 thf(zip_derived_cl9063, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ (theorem @ (or @ (and @ X1 @ (not @ X1)) @ X0)) @ true @
% 230.55/39.22 (theorem @ X0) @ true) = (true))),
% 230.55/39.22 inference('demod', [status(thm)],
% 230.55/39.22 [zip_derived_cl9019, zip_derived_cl15, zip_derived_cl0])).
% 230.55/39.22 thf(zip_derived_cl35802, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((ifeq @ true @ true @
% 230.55/39.22 (theorem @
% 230.55/39.22 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0))))) @
% 230.55/39.22 true) = (true))),
% 230.55/39.22 inference('sup+', [status(thm)],
% 230.55/39.22 [zip_derived_cl12224, zip_derived_cl9063])).
% 230.55/39.22 thf(zip_derived_cl0, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.22 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.22 thf(zip_derived_cl123637, plain,
% 230.55/39.22 (![X0 : $i, X1 : $i]:
% 230.55/39.22 ((true)
% 230.55/39.22 = (theorem @
% 230.55/39.22 (implies @ (or @ X1 @ X0) @ (or @ X1 @ (not @ (not @ X0))))))),
% 230.55/39.23 inference('sup+', [status(thm)], [zip_derived_cl35802, zip_derived_cl0])).
% 230.55/39.23 thf(zip_derived_cl8973, plain,
% 230.55/39.23 (![X0 : $i]: ((true) = (theorem @ (or @ X0 @ (not @ X0))))),
% 230.55/39.23 inference('sup+', [status(thm)], [zip_derived_cl8923, zip_derived_cl0])).
% 230.55/39.23 thf(zip_derived_cl8, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i]:
% 230.55/39.23 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 230.55/39.23 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 230.55/39.23 = (true))),
% 230.55/39.23 inference('cnf', [status(esa)], [rule_2])).
% 230.55/39.23 thf(zip_derived_cl8985, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i]:
% 230.55/39.23 ((ifeq @ (theorem @ (implies @ (or @ X1 @ (not @ X1)) @ X0)) @ true @
% 230.55/39.23 (ifeq @ true @ true @ (theorem @ X0) @ true) @ true) = (true))),
% 230.55/39.23 inference('sup+', [status(thm)], [zip_derived_cl8973, zip_derived_cl8])).
% 230.55/39.23 thf(zip_derived_cl0, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.23 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.23 thf(zip_derived_cl9013, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i]:
% 230.55/39.23 ((ifeq @ (theorem @ (implies @ (or @ X1 @ (not @ X1)) @ X0)) @ true @
% 230.55/39.23 (theorem @ X0) @ true) = (true))),
% 230.55/39.23 inference('demod', [status(thm)], [zip_derived_cl8985, zip_derived_cl0])).
% 230.55/39.23 thf(zip_derived_cl124701, plain,
% 230.55/39.23 (![X0 : $i]:
% 230.55/39.23 ((ifeq @ true @ true @
% 230.55/39.23 (theorem @ (or @ X0 @ (not @ (not @ (not @ X0))))) @ true) = (
% 230.55/39.23 true))),
% 230.55/39.23 inference('sup+', [status(thm)],
% 230.55/39.23 [zip_derived_cl123637, zip_derived_cl9013])).
% 230.55/39.23 thf(zip_derived_cl0, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.23 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.23 thf(zip_derived_cl124755, plain,
% 230.55/39.23 (![X0 : $i]:
% 230.55/39.23 ((true) = (theorem @ (or @ X0 @ (not @ (not @ (not @ X0))))))),
% 230.55/39.23 inference('sup+', [status(thm)], [zip_derived_cl124701, zip_derived_cl0])).
% 230.55/39.23 thf(zip_derived_cl1166, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i]:
% 230.55/39.23 ((ifeq @ true @ true @
% 230.55/39.23 (ifeq @ (theorem @ (or @ X0 @ X1)) @ true @
% 230.55/39.23 (theorem @ (or @ X1 @ X0)) @ true) @
% 230.55/39.23 true) = (true))),
% 230.55/39.23 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl8])).
% 230.55/39.23 thf(zip_derived_cl125505, plain,
% 230.55/39.23 (![X0 : $i]:
% 230.55/39.23 ((ifeq @ true @ true @
% 230.55/39.23 (ifeq @ true @ true @
% 230.55/39.23 (theorem @ (or @ (not @ (not @ (not @ X0))) @ X0)) @ true) @
% 230.55/39.23 true) = (true))),
% 230.55/39.23 inference('sup+', [status(thm)],
% 230.55/39.23 [zip_derived_cl124755, zip_derived_cl1166])).
% 230.55/39.23 thf(zip_derived_cl6, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 230.55/39.23 inference('cnf', [status(esa)], [implies_definition])).
% 230.55/39.23 thf(zip_derived_cl0, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.23 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.23 thf(zip_derived_cl0, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.23 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.23 thf(zip_derived_cl125828, plain,
% 230.55/39.23 (![X0 : $i]: ((theorem @ (implies @ (not @ (not @ X0)) @ X0)) = (true))),
% 230.55/39.23 inference('demod', [status(thm)],
% 230.55/39.23 [zip_derived_cl125505, zip_derived_cl6, zip_derived_cl0,
% 230.55/39.23 zip_derived_cl0])).
% 230.55/39.23 thf(zip_derived_cl0, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.23 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.23 thf(zip_derived_cl0, plain,
% 230.55/39.23 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 230.55/39.23 inference('cnf', [status(esa)], [ifeq_axiom])).
% 230.55/39.23 thf(zip_derived_cl141935, plain,
% 230.55/39.23 (![X0 : $i]:
% 230.55/39.23 ((theorem @ (equivalent @ X0 @ (not @ (not @ X0)))) = (true))),
% 230.55/39.23 inference('demod', [status(thm)],
% 230.55/39.23 [zip_derived_cl141856, zip_derived_cl125828, zip_derived_cl0,
% 230.55/39.23 zip_derived_cl0])).
% 230.55/39.23 thf(zip_derived_cl141939, plain, (((true) != (true))),
% 230.55/39.23 inference('demod', [status(thm)],
% 230.55/39.23 [zip_derived_cl11, zip_derived_cl141935])).
% 230.55/39.23 thf(zip_derived_cl141940, plain, ($false),
% 230.55/39.23 inference('simplify', [status(thm)], [zip_derived_cl141939])).
% 230.55/39.23
% 230.55/39.23 % SZS output end Refutation
% 230.55/39.23
% 230.55/39.23
% 230.55/39.23 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 230.55/39.23 % Terminating...
% 230.55/39.26 % Runner terminated.
% 230.55/39.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------