TSTP Solution File: LCL154-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL154-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Fioa0B5wzX true
% Computer : n026.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 08:58:25 EDT 2023
% Result : Unsatisfiable 1.47s 0.93s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL154-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Fioa0B5wzX true
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 22:40:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.47/0.93 % Solved by fo/fo3_bce.sh.
% 1.47/0.93 % BCE start: 17
% 1.47/0.93 % BCE eliminated: 0
% 1.47/0.93 % PE start: 17
% 1.47/0.93 logic: eq
% 1.47/0.93 % PE eliminated: 0
% 1.47/0.93 % done 81 iterations in 0.140s
% 1.47/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.47/0.93 % SZS output start Refutation
% 1.47/0.93 thf(and_type, type, and: $i > $i > $i).
% 1.47/0.93 thf(xor_type, type, xor: $i > $i > $i).
% 1.47/0.93 thf(x_type, type, x: $i).
% 1.47/0.93 thf(or_type, type, or: $i > $i > $i).
% 1.47/0.93 thf(truth_type, type, truth: $i).
% 1.47/0.93 thf(implies_type, type, implies: $i > $i > $i).
% 1.47/0.93 thf(falsehood_type, type, falsehood: $i).
% 1.47/0.93 thf(not_type, type, not: $i > $i).
% 1.47/0.93 thf(prove_alternative_wajsberg_axiom, conjecture,
% 1.47/0.93 (( xor @ x @ falsehood ) = ( x ))).
% 1.47/0.93 thf(zf_stmt_0, negated_conjecture, (( xor @ x @ falsehood ) != ( x )),
% 1.47/0.93 inference('cnf.neg', [status(esa)], [prove_alternative_wajsberg_axiom])).
% 1.47/0.93 thf(zip_derived_cl16, plain, (((xor @ x @ falsehood) != (x))),
% 1.47/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.47/0.93 thf(xor_commutativity, axiom, (( xor @ X @ Y ) = ( xor @ Y @ X ))).
% 1.47/0.93 thf(zip_derived_cl11, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 1.47/0.93 inference('cnf', [status(esa)], [xor_commutativity])).
% 1.47/0.93 thf(zip_derived_cl17, plain, (((xor @ falsehood @ x) != (x))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 1.47/0.93 thf(xor_definition, axiom,
% 1.47/0.93 (( xor @ X @ Y ) =
% 1.47/0.93 ( or @ ( and @ X @ ( not @ Y ) ) @ ( and @ ( not @ X ) @ Y ) ))).
% 1.47/0.93 thf(zip_derived_cl10, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((xor @ X0 @ X1)
% 1.47/0.93 = (or @ (and @ X0 @ (not @ X1)) @ (and @ (not @ X0) @ X1)))),
% 1.47/0.93 inference('cnf', [status(esa)], [xor_definition])).
% 1.47/0.93 thf(and_definition, axiom,
% 1.47/0.93 (( and @ X @ Y ) = ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ))).
% 1.47/0.93 thf(zip_derived_cl7, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 1.47/0.93 inference('cnf', [status(esa)], [and_definition])).
% 1.47/0.93 thf(or_definition, axiom, (( or @ X @ Y ) = ( implies @ ( not @ X ) @ Y ))).
% 1.47/0.93 thf(zip_derived_cl4, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('cnf', [status(esa)], [or_definition])).
% 1.47/0.93 thf(zip_derived_cl34, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 1.47/0.93 thf(zip_derived_cl34, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 1.47/0.93 thf(zip_derived_cl4, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('cnf', [status(esa)], [or_definition])).
% 1.47/0.93 thf(zip_derived_cl188, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((xor @ X0 @ X1)
% 1.47/0.93 = (implies @
% 1.47/0.93 (not @
% 1.47/0.93 (not @ (implies @ (not @ (not @ X0)) @ (not @ (not @ X1))))) @
% 1.47/0.93 (not @ (implies @ (not @ (not @ (not @ X0))) @ (not @ X1)))))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl10, zip_derived_cl34, zip_derived_cl34,
% 1.47/0.93 zip_derived_cl4])).
% 1.47/0.93 thf(or_commutativity, axiom, (( or @ X @ Y ) = ( or @ Y @ X ))).
% 1.47/0.93 thf(zip_derived_cl6, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 1.47/0.93 inference('cnf', [status(esa)], [or_commutativity])).
% 1.47/0.93 thf(zip_derived_cl4, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('cnf', [status(esa)], [or_definition])).
% 1.47/0.93 thf(zip_derived_cl4, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('cnf', [status(esa)], [or_definition])).
% 1.47/0.93 thf(zip_derived_cl33, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.47/0.93 thf(zip_derived_cl190, plain,
% 1.47/0.93 (((implies @
% 1.47/0.93 (not @
% 1.47/0.93 (not @ (implies @ (not @ (not @ falsehood)) @ (not @ (not @ x))))) @
% 1.47/0.93 (not @ (implies @ (not @ (not @ x)) @ (not @ (not @ falsehood)))))
% 1.47/0.93 != (x))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl17, zip_derived_cl188, zip_derived_cl33])).
% 1.47/0.93 thf(zip_derived_cl33, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.47/0.93 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(wajsberg_4, axiom,
% 1.47/0.93 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 1.47/0.93 ( truth ))).
% 1.47/0.93 thf(zip_derived_cl3, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 1.47/0.93 = (truth))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_4])).
% 1.47/0.93 thf(zip_derived_cl94, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.47/0.93 thf(false_definition, axiom, (( not @ truth ) = ( falsehood ))).
% 1.47/0.93 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.47/0.93 inference('cnf', [status(esa)], [false_definition])).
% 1.47/0.93 thf(zip_derived_cl102, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ (implies @ (not @ X0) @ falsehood) @ X0) = (truth))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl15])).
% 1.47/0.93 thf(zip_derived_cl117, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl102])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(wajsberg_3, axiom,
% 1.47/0.93 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 1.47/0.93 ( implies @ ( implies @ Y @ X ) @ X ))).
% 1.47/0.93 thf(zip_derived_cl2, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.47/0.93 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.47/0.93 thf(zip_derived_cl66, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.47/0.93 thf(zip_derived_cl441, plain,
% 1.47/0.93 (((implies @ (not @ falsehood) @ (not @ falsehood)) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl66])).
% 1.47/0.93 thf(zip_derived_cl117, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl102])).
% 1.47/0.93 thf(zip_derived_cl461, plain,
% 1.47/0.93 (((implies @ truth @ (not @ falsehood)) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl117])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl476, plain, (((truth) = (not @ falsehood))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.47/0.93 inference('cnf', [status(esa)], [false_definition])).
% 1.47/0.93 thf(zip_derived_cl476, plain, (((truth) = (not @ falsehood))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.47/0.93 inference('cnf', [status(esa)], [false_definition])).
% 1.47/0.93 thf(zip_derived_cl33, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.47/0.93 thf(zip_derived_cl476, plain, (((truth) = (not @ falsehood))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl33, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.47/0.93 thf(zip_derived_cl651, plain,
% 1.47/0.93 (((implies @ (not @ (not @ (not @ x))) @
% 1.47/0.93 (not @ (implies @ falsehood @ (not @ (not @ x))))) != (x))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl190, zip_derived_cl476, zip_derived_cl15,
% 1.47/0.93 zip_derived_cl476, zip_derived_cl15, zip_derived_cl33,
% 1.47/0.93 zip_derived_cl476, zip_derived_cl0, zip_derived_cl33])).
% 1.47/0.93 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.47/0.93 inference('cnf', [status(esa)], [false_definition])).
% 1.47/0.93 thf(zip_derived_cl33, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.47/0.93 thf(zip_derived_cl42, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ falsehood @ X0) = (implies @ (not @ X0) @ truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl33])).
% 1.47/0.93 thf(zip_derived_cl461, plain,
% 1.47/0.93 (((implies @ truth @ (not @ falsehood)) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl117])).
% 1.47/0.93 thf(wajsberg_2, axiom,
% 1.47/0.93 (( implies @
% 1.47/0.93 ( implies @ X @ Y ) @
% 1.47/0.93 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 1.47/0.93 ( truth ))).
% 1.47/0.93 thf(zip_derived_cl1, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.93 ((implies @ (implies @ X0 @ X1) @
% 1.47/0.93 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.47/0.93 thf(zip_derived_cl1, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.93 ((implies @ (implies @ X0 @ X1) @
% 1.47/0.93 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.47/0.93 thf(zip_derived_cl20, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.93 ((implies @ (implies @ (implies @ X1 @ X2) @ X3) @
% 1.47/0.93 (implies @
% 1.47/0.93 (implies @ X3 @
% 1.47/0.93 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))) @
% 1.47/0.93 truth))
% 1.47/0.93 = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 1.47/0.93 thf(zip_derived_cl584, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (implies @ truth @ X1) @
% 1.47/0.93 (implies @
% 1.47/0.93 (implies @ X1 @
% 1.47/0.93 (implies @ (implies @ (not @ falsehood) @ X0) @
% 1.47/0.93 (implies @ truth @ X0))) @
% 1.47/0.93 truth))
% 1.47/0.93 = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl20])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl117, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl102])).
% 1.47/0.93 thf(zip_derived_cl66, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.47/0.93 thf(zip_derived_cl632, plain,
% 1.47/0.93 (![X1 : $i]: ((implies @ X1 @ (implies @ X1 @ X1)) = (truth))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl584, zip_derived_cl0, zip_derived_cl0,
% 1.47/0.93 zip_derived_cl117, zip_derived_cl66])).
% 1.47/0.93 thf(zip_derived_cl461, plain,
% 1.47/0.93 (((implies @ truth @ (not @ falsehood)) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl117])).
% 1.47/0.93 thf(zip_derived_cl1, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.93 ((implies @ (implies @ X0 @ X1) @
% 1.47/0.93 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.47/0.93 thf(zip_derived_cl1, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.93 ((implies @ (implies @ X0 @ X1) @
% 1.47/0.93 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.47/0.93 thf(zip_derived_cl18, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.93 ((implies @ truth @
% 1.47/0.93 (implies @
% 1.47/0.93 (implies @ (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @
% 1.47/0.93 X0) @
% 1.47/0.93 (implies @ (implies @ X2 @ X1) @ X0)))
% 1.47/0.93 = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 1.47/0.93 thf(zip_derived_cl473, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ truth @
% 1.47/0.93 (implies @
% 1.47/0.93 (implies @
% 1.47/0.93 (implies @ (implies @ (not @ falsehood) @ X1) @
% 1.47/0.93 (implies @ truth @ X1)) @
% 1.47/0.93 X0) @
% 1.47/0.93 (implies @ truth @ X0)))
% 1.47/0.93 = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl18])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl117, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl102])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl481, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl473, zip_derived_cl0, zip_derived_cl117,
% 1.47/0.93 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl838, plain,
% 1.47/0.93 (![X1 : $i]: ((implies @ X1 @ truth) = (truth))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl632, zip_derived_cl481])).
% 1.47/0.93 thf(zip_derived_cl840, plain,
% 1.47/0.93 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl838])).
% 1.47/0.93 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.47/0.93 inference('cnf', [status(esa)], [false_definition])).
% 1.47/0.93 thf(zip_derived_cl476, plain, (((truth) = (not @ falsehood))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl461, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl33, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.47/0.93 thf(zip_derived_cl655, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ (not @ X0) @ falsehood) = (implies @ truth @ X0))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl476, zip_derived_cl33])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl673, plain,
% 1.47/0.93 (![X0 : $i]: ((implies @ (not @ X0) @ falsehood) = (X0))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl655, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl875, plain, (((not @ (not @ x)) != (x))),
% 1.47/0.93 inference('demod', [status(thm)],
% 1.47/0.93 [zip_derived_cl651, zip_derived_cl840, zip_derived_cl15,
% 1.47/0.93 zip_derived_cl673])).
% 1.47/0.93 thf(zip_derived_cl673, plain,
% 1.47/0.93 (![X0 : $i]: ((implies @ (not @ X0) @ falsehood) = (X0))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl655, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl840, plain,
% 1.47/0.93 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl838])).
% 1.47/0.93 thf(zip_derived_cl2, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.47/0.93 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.47/0.93 thf(zip_derived_cl877, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ((implies @ (implies @ X0 @ falsehood) @ falsehood)
% 1.47/0.93 = (implies @ truth @ X0))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl2])).
% 1.47/0.93 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.47/0.93 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.47/0.93 thf(zip_derived_cl886, plain,
% 1.47/0.93 (![X0 : $i]: ((implies @ (implies @ X0 @ falsehood) @ falsehood) = (X0))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl877, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl954, plain,
% 1.47/0.93 (![X0 : $i]: ((implies @ X0 @ falsehood) = (not @ X0))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl886])).
% 1.47/0.93 thf(zip_derived_cl673, plain,
% 1.47/0.93 (![X0 : $i]: ((implies @ (not @ X0) @ falsehood) = (X0))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl655, zip_derived_cl0])).
% 1.47/0.93 thf(zip_derived_cl991, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl954, zip_derived_cl673])).
% 1.47/0.93 thf(zip_derived_cl1015, plain, (((x) != (x))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl875, zip_derived_cl991])).
% 1.47/0.93 thf(zip_derived_cl1016, plain, ($false),
% 1.47/0.93 inference('simplify', [status(thm)], [zip_derived_cl1015])).
% 1.47/0.93
% 1.47/0.93 % SZS output end Refutation
% 1.47/0.93
% 1.47/0.93
% 1.47/0.93 % Terminating...
% 1.47/0.99 % Runner terminated.
% 1.47/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------