%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL239-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KYHqoxfYbe true
% Computer : n013.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 01:35:34 PM UTC 2026
% Result : Unsatisfiable 4.69s 1.31s
% Output : Refutation 4.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL239-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KYHqoxfYbe true
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 5 10:45:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % Number of cores: 8
% 0.11/0.39 % Python version: Python 3.12.3
% 0.11/0.39 % Running in FO mode
% 0.44/0.67 % Total configuration time : 435
% 0.44/0.67 % Estimated wc time : 1092
% 0.44/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.69/1.31 % Solved by fo/fo3_bce.sh.
% 4.69/1.31 % BCE start: 11
% 4.69/1.31 % BCE eliminated: 0
% 4.69/1.31 % PE start: 11
% 4.69/1.31 logic: eq
% 4.69/1.31 % PE eliminated: 0
% 4.69/1.31 % done 374 iterations in 0.478s
% 4.69/1.31 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.69/1.31 % SZS output start Refutation
% 4.69/1.31 thf(theorem_type, type, theorem: $i > $i).
% 4.69/1.31 thf(p_type, type, p: $i).
% 4.69/1.31 thf(implies_type, type, implies: $i > $i > $i).
% 4.69/1.31 thf(and_type, type, and: $i > $i > $i).
% 4.69/1.31 thf(not_type, type, not: $i > $i).
% 4.69/1.31 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 4.69/1.31 thf(or_type, type, or: $i > $i > $i).
% 4.69/1.31 thf(true_type, type, true: $i).
% 4.69/1.31 thf(axiom_type, type, axiom: $i > $i).
% 4.69/1.31 thf(prove_this, conjecture,
% 4.69/1.31 (( theorem @ ( not @ ( and @ p @ ( not @ p ) ) ) ) = ( true ))).
% 4.69/1.31 thf(zf_stmt_0, negated_conjecture,
% 4.69/1.31 (( theorem @ ( not @ ( and @ p @ ( not @ p ) ) ) ) != ( true )),
% 4.69/1.31 inference('cnf.neg', [status(esa)], [prove_this])).
% 4.69/1.31 thf(zip_derived_cl10, plain,
% 4.69/1.31 (((theorem @ (not @ (and @ p @ (not @ p)))) != (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.69/1.31 thf(and_defn, axiom,
% 4.69/1.31 (( and @ P @ Q ) = ( not @ ( or @ ( not @ P ) @ ( not @ Q ) ) ))).
% 4.69/1.31 thf(zip_derived_cl9, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 4.69/1.31 inference('cnf', [status(esa)], [and_defn])).
% 4.69/1.31 thf(zip_derived_cl11, plain,
% 4.69/1.31 (((theorem @ (not @ (not @ (or @ (not @ p) @ (not @ (not @ p))))))
% 4.69/1.31 != (true))),
% 4.69/1.31 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl9])).
% 4.69/1.31 thf(implies_definition, axiom,
% 4.69/1.31 (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 4.69/1.31 thf(zip_derived_cl6, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 4.69/1.31 inference('cnf', [status(esa)], [implies_definition])).
% 4.69/1.31 thf(zip_derived_cl13, plain,
% 4.69/1.31 (((theorem @ (not @ (not @ (implies @ p @ (not @ (not @ p)))))) != (true))),
% 4.69/1.31 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl6])).
% 4.69/1.31 thf(zip_derived_cl6, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 4.69/1.31 inference('cnf', [status(esa)], [implies_definition])).
% 4.69/1.31 thf(zip_derived_cl6, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 4.69/1.31 inference('cnf', [status(esa)], [implies_definition])).
% 4.69/1.31 thf(axiom_1_5, axiom,
% 4.69/1.31 (( axiom @
% 4.69/1.31 ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ) ) =
% 4.69/1.31 ( true ))).
% 4.69/1.31 thf(zip_derived_cl4, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.31 ((axiom @
% 4.69/1.31 (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))
% 4.69/1.31 = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [axiom_1_5])).
% 4.69/1.31 thf(rule_1, axiom,
% 4.69/1.31 (( ifeq @ ( axiom @ X ) @ true @ ( theorem @ X ) @ true ) = ( true ))).
% 4.69/1.31 thf(zip_derived_cl7, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [rule_1])).
% 4.69/1.31 thf(zip_derived_cl33, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @
% 4.69/1.31 (theorem @
% 4.69/1.31 (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0)))) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl7])).
% 4.69/1.31 thf(zip_derived_cl226, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @
% 4.69/1.31 (theorem @
% 4.69/1.31 (implies @ (or @ (not @ X1) @ (or @ X2 @ X0)) @
% 4.69/1.31 (or @ X2 @ (implies @ X1 @ X0)))) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl33])).
% 4.69/1.31 thf(zip_derived_cl6, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 4.69/1.31 inference('cnf', [status(esa)], [implies_definition])).
% 4.69/1.31 thf(ifeq_axiom, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl230, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.31 ((theorem @
% 4.69/1.31 (implies @ (implies @ X1 @ (or @ X2 @ X0)) @
% 4.69/1.31 (or @ X2 @ (implies @ X1 @ X0))))
% 4.69/1.31 = (true))),
% 4.69/1.31 inference('demod', [status(thm)],
% 4.69/1.31 [zip_derived_cl226, zip_derived_cl6, zip_derived_cl0])).
% 4.69/1.31 thf(axiom_1_3, axiom,
% 4.69/1.31 (( axiom @ ( implies @ A @ ( or @ B @ A ) ) ) = ( true ))).
% 4.69/1.31 thf(zip_derived_cl2, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((axiom @ (implies @ X0 @ (or @ X1 @ X0))) = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [axiom_1_3])).
% 4.69/1.31 thf(zip_derived_cl7, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [rule_1])).
% 4.69/1.31 thf(zip_derived_cl16, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @ (theorem @ (implies @ X0 @ (or @ X1 @ X0))) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl57, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((true) = (theorem @ (implies @ X0 @ (or @ X1 @ X0))))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 4.69/1.31 thf(rule_2, axiom,
% 4.69/1.31 (( ifeq @
% 4.69/1.31 ( theorem @ ( implies @ Y @ X ) ) @ true @
% 4.69/1.31 ( ifeq @ ( theorem @ Y ) @ true @ ( theorem @ X ) @ true ) @ true ) =
% 4.69/1.31 ( true ))).
% 4.69/1.31 thf(zip_derived_cl8, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 4.69/1.31 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 4.69/1.31 = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [rule_2])).
% 4.69/1.31 thf(zip_derived_cl61, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.31 ((ifeq @
% 4.69/1.31 (theorem @ (implies @ (implies @ X1 @ (or @ X2 @ X1)) @ X0)) @
% 4.69/1.31 true @ (ifeq @ true @ true @ (theorem @ X0) @ true) @ true) = (
% 4.69/1.31 true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl8])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl66, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.31 ((ifeq @
% 4.69/1.31 (theorem @ (implies @ (implies @ X1 @ (or @ X2 @ X1)) @ X0)) @
% 4.69/1.31 true @ (theorem @ X0) @ true) = (true))),
% 4.69/1.31 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 4.69/1.31 thf(zip_derived_cl2131, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @ (theorem @ (or @ X1 @ (implies @ X0 @ X0))) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl66])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl2141, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((true) = (theorem @ (or @ X1 @ (implies @ X0 @ X0))))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl2131, zip_derived_cl0])).
% 4.69/1.31 thf(axiom_1_2, axiom,
% 4.69/1.31 (( axiom @ ( implies @ ( or @ A @ A ) @ A ) ) = ( true ))).
% 4.69/1.31 thf(zip_derived_cl1, plain,
% 4.69/1.31 (![X0 : $i]: ((axiom @ (implies @ (or @ X0 @ X0) @ X0)) = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [axiom_1_2])).
% 4.69/1.31 thf(zip_derived_cl7, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [rule_1])).
% 4.69/1.31 thf(zip_derived_cl14, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @ (theorem @ (implies @ (or @ X0 @ X0) @ X0)) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl23, plain,
% 4.69/1.31 (![X0 : $i]: ((true) = (theorem @ (implies @ (or @ X0 @ X0) @ X0)))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl0])).
% 4.69/1.31 thf(zip_derived_cl8, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 4.69/1.31 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 4.69/1.31 = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [rule_2])).
% 4.69/1.31 thf(zip_derived_cl29, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @
% 4.69/1.31 (ifeq @ (theorem @ (or @ X0 @ X0)) @ true @ (theorem @ X0) @ true) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl8])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl108, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((true)
% 4.69/1.31 = (ifeq @ (theorem @ (or @ X0 @ X0)) @ true @ (theorem @ X0) @ true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 4.69/1.31 thf(zip_derived_cl2173, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((true)
% 4.69/1.31 = (ifeq @ true @ true @ (theorem @ (implies @ X0 @ X0)) @ true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl2141, zip_derived_cl108])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl2209, plain,
% 4.69/1.31 (![X0 : $i]: ((true) = (theorem @ (implies @ X0 @ X0)))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl2173, zip_derived_cl0])).
% 4.69/1.31 thf(zip_derived_cl6, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 4.69/1.31 inference('cnf', [status(esa)], [implies_definition])).
% 4.69/1.31 thf(axiom_1_4, axiom,
% 4.69/1.31 (( axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ) ) = ( true ))).
% 4.69/1.31 thf(zip_derived_cl3, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0))) = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [axiom_1_4])).
% 4.69/1.31 thf(zip_derived_cl7, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((ifeq @ (axiom @ X0) @ true @ (theorem @ X0) @ true) = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [rule_1])).
% 4.69/1.31 thf(zip_derived_cl18, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @
% 4.69/1.31 (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0))) @ true)
% 4.69/1.31 = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl74, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((true) = (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0))))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl0])).
% 4.69/1.31 thf(zip_derived_cl8, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 4.69/1.31 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 4.69/1.31 = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [rule_2])).
% 4.69/1.31 thf(zip_derived_cl81, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @
% 4.69/1.31 (ifeq @ (theorem @ (or @ X0 @ X1)) @ true @
% 4.69/1.31 (theorem @ (or @ X1 @ X0)) @ true) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl8])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl1089, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((true)
% 4.69/1.31 = (ifeq @ (theorem @ (or @ X0 @ X1)) @ true @
% 4.69/1.31 (theorem @ (or @ X1 @ X0)) @ true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl0])).
% 4.69/1.31 thf(zip_derived_cl1587, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((true)
% 4.69/1.31 = (ifeq @ (theorem @ (implies @ X1 @ X0)) @ true @
% 4.69/1.31 (theorem @ (or @ X0 @ (not @ X1))) @ true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1089])).
% 4.69/1.31 thf(zip_derived_cl2245, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((true)
% 4.69/1.31 = (ifeq @ true @ true @ (theorem @ (or @ X0 @ (not @ X0))) @ true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl2209, zip_derived_cl1587])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl2387, plain,
% 4.69/1.31 (![X0 : $i]: ((true) = (theorem @ (or @ X0 @ (not @ X0))))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl2245, zip_derived_cl0])).
% 4.69/1.31 thf(zip_derived_cl2425, plain,
% 4.69/1.31 (![X0 : $i]: ((true) = (theorem @ (implies @ X0 @ (not @ (not @ X0)))))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2387])).
% 4.69/1.31 thf(zip_derived_cl2425, plain,
% 4.69/1.31 (![X0 : $i]: ((true) = (theorem @ (implies @ X0 @ (not @ (not @ X0)))))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2387])).
% 4.69/1.31 thf(zip_derived_cl8, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i]:
% 4.69/1.31 ((ifeq @ (theorem @ (implies @ X0 @ X1)) @ true @
% 4.69/1.31 (ifeq @ (theorem @ X0) @ true @ (theorem @ X1) @ true) @ true)
% 4.69/1.31 = (true))),
% 4.69/1.31 inference('cnf', [status(esa)], [rule_2])).
% 4.69/1.31 thf(zip_derived_cl2448, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @
% 4.69/1.31 (ifeq @ (theorem @ X0) @ true @ (theorem @ (not @ (not @ X0))) @
% 4.69/1.31 true) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl2425, zip_derived_cl8])).
% 4.69/1.31 thf(zip_derived_cl3028, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((ifeq @ true @ true @
% 4.69/1.31 (ifeq @ true @ true @
% 4.69/1.31 (theorem @ (not @ (not @ (implies @ X0 @ (not @ (not @ X0)))))) @
% 4.69/1.31 true) @
% 4.69/1.31 true) = (true))),
% 4.69/1.31 inference('sup+', [status(thm)], [zip_derived_cl2425, zip_derived_cl2448])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl0, plain,
% 4.69/1.31 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 4.69/1.31 inference('cnf', [status(esa)], [ifeq_axiom])).
% 4.69/1.31 thf(zip_derived_cl3087, plain,
% 4.69/1.31 (![X0 : $i]:
% 4.69/1.31 ((theorem @ (not @ (not @ (implies @ X0 @ (not @ (not @ X0))))))
% 4.69/1.31 = (true))),
% 4.69/1.31 inference('demod', [status(thm)],
% 4.69/1.31 [zip_derived_cl3028, zip_derived_cl0, zip_derived_cl0])).
% 4.69/1.31 thf(zip_derived_cl3244, plain, (((true) != (true))),
% 4.69/1.31 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl3087])).
% 4.69/1.31 thf(zip_derived_cl3245, plain, ($false),
% 4.69/1.31 inference('simplify', [status(thm)], [zip_derived_cl3244])).
% 4.69/1.31
% 4.69/1.31 % SZS output end Refutation
% 4.69/1.31
% 4.69/1.31
% 4.69/1.31 % Terminating...
% 4.69/1.37 % Runner terminated.
% 4.69/1.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------