TSTP Solution File: LCL153-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL153-1 : 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.s5k1CR4qsF true
% Computer : n014.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 1.34s 0.89s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL153-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s5k1CR4qsF true
% 0.14/0.35 % Computer : n014.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 : Fri Aug 25 02:04:03 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
% 0.20/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.89 % Solved by fo/fo3_bce.sh.
% 1.34/0.89 % BCE start: 17
% 1.34/0.89 % BCE eliminated: 0
% 1.34/0.89 % PE start: 17
% 1.34/0.89 logic: eq
% 1.34/0.89 % PE eliminated: 0
% 1.34/0.89 % done 67 iterations in 0.132s
% 1.34/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.89 % SZS output start Refutation
% 1.34/0.89 thf(and_type, type, and: $i > $i > $i).
% 1.34/0.89 thf(xor_type, type, xor: $i > $i > $i).
% 1.34/0.89 thf(x_type, type, x: $i).
% 1.34/0.89 thf(or_type, type, or: $i > $i > $i).
% 1.34/0.89 thf(truth_type, type, truth: $i).
% 1.34/0.89 thf(implies_type, type, implies: $i > $i > $i).
% 1.34/0.89 thf(falsehood_type, type, falsehood: $i).
% 1.34/0.89 thf(not_type, type, not: $i > $i).
% 1.34/0.89 thf(prove_alternative_wajsberg_axiom, conjecture,
% 1.34/0.89 (( not @ x ) = ( xor @ x @ truth ))).
% 1.34/0.89 thf(zf_stmt_0, negated_conjecture, (( not @ x ) != ( xor @ x @ truth )),
% 1.34/0.89 inference('cnf.neg', [status(esa)], [prove_alternative_wajsberg_axiom])).
% 1.34/0.89 thf(zip_derived_cl16, plain, (((not @ x) != (xor @ x @ truth))),
% 1.34/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/0.89 thf(xor_commutativity, axiom, (( xor @ X @ Y ) = ( xor @ Y @ X ))).
% 1.34/0.89 thf(zip_derived_cl11, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 1.34/0.89 inference('cnf', [status(esa)], [xor_commutativity])).
% 1.34/0.89 thf(zip_derived_cl17, plain, (((not @ x) != (xor @ truth @ x))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 1.34/0.89 thf(xor_definition, axiom,
% 1.34/0.89 (( xor @ X @ Y ) =
% 1.34/0.89 ( or @ ( and @ X @ ( not @ Y ) ) @ ( and @ ( not @ X ) @ Y ) ))).
% 1.34/0.89 thf(zip_derived_cl10, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((xor @ X0 @ X1)
% 1.34/0.89 = (or @ (and @ X0 @ (not @ X1)) @ (and @ (not @ X0) @ X1)))),
% 1.34/0.89 inference('cnf', [status(esa)], [xor_definition])).
% 1.34/0.89 thf(and_definition, axiom,
% 1.34/0.89 (( and @ X @ Y ) = ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ))).
% 1.34/0.89 thf(zip_derived_cl7, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 1.34/0.89 inference('cnf', [status(esa)], [and_definition])).
% 1.34/0.89 thf(or_definition, axiom, (( or @ X @ Y ) = ( implies @ ( not @ X ) @ Y ))).
% 1.34/0.89 thf(zip_derived_cl4, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 1.34/0.89 inference('cnf', [status(esa)], [or_definition])).
% 1.34/0.89 thf(zip_derived_cl34, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 1.34/0.89 thf(zip_derived_cl34, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 1.34/0.89 thf(zip_derived_cl4, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 1.34/0.89 inference('cnf', [status(esa)], [or_definition])).
% 1.34/0.89 thf(zip_derived_cl167, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((xor @ X0 @ X1)
% 1.34/0.89 = (implies @
% 1.34/0.89 (not @
% 1.34/0.89 (not @ (implies @ (not @ (not @ X0)) @ (not @ (not @ X1))))) @
% 1.34/0.89 (not @ (implies @ (not @ (not @ (not @ X0))) @ (not @ X1)))))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl10, zip_derived_cl34, zip_derived_cl34,
% 1.34/0.89 zip_derived_cl4])).
% 1.34/0.89 thf(false_definition, axiom, (( not @ truth ) = ( falsehood ))).
% 1.34/0.89 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.34/0.89 inference('cnf', [status(esa)], [false_definition])).
% 1.34/0.89 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.34/0.89 inference('cnf', [status(esa)], [false_definition])).
% 1.34/0.89 thf(zip_derived_cl169, plain,
% 1.34/0.89 (((not @ x)
% 1.34/0.89 != (implies @
% 1.34/0.89 (not @ (not @ (implies @ (not @ falsehood) @ (not @ (not @ x))))) @
% 1.34/0.89 (not @ (implies @ (not @ (not @ falsehood)) @ (not @ x)))))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl17, zip_derived_cl167, zip_derived_cl15,
% 1.34/0.89 zip_derived_cl15])).
% 1.34/0.89 thf(or_commutativity, axiom, (( or @ X @ Y ) = ( or @ Y @ X ))).
% 1.34/0.89 thf(zip_derived_cl6, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 1.34/0.89 inference('cnf', [status(esa)], [or_commutativity])).
% 1.34/0.89 thf(zip_derived_cl4, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 1.34/0.89 inference('cnf', [status(esa)], [or_definition])).
% 1.34/0.89 thf(zip_derived_cl4, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 1.34/0.89 inference('cnf', [status(esa)], [or_definition])).
% 1.34/0.89 thf(zip_derived_cl33, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.34/0.89 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(wajsberg_4, axiom,
% 1.34/0.89 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 1.34/0.89 ( truth ))).
% 1.34/0.89 thf(zip_derived_cl3, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 1.34/0.89 = (truth))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_4])).
% 1.34/0.89 thf(zip_derived_cl209, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.34/0.89 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.34/0.89 inference('cnf', [status(esa)], [false_definition])).
% 1.34/0.89 thf(zip_derived_cl223, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ (implies @ (not @ X0) @ falsehood) @ X0) = (truth))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl15])).
% 1.34/0.89 thf(zip_derived_cl333, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl223])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(wajsberg_3, axiom,
% 1.34/0.89 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 1.34/0.89 ( implies @ ( implies @ Y @ X ) @ X ))).
% 1.34/0.89 thf(zip_derived_cl2, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.34/0.89 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.34/0.89 thf(zip_derived_cl68, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.34/0.89 thf(zip_derived_cl369, plain,
% 1.34/0.89 (((implies @ (not @ falsehood) @ (not @ falsehood)) = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl333, zip_derived_cl68])).
% 1.34/0.89 thf(zip_derived_cl333, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl223])).
% 1.34/0.89 thf(zip_derived_cl387, plain,
% 1.34/0.89 (((implies @ truth @ (not @ falsehood)) = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl333])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl530, plain, (((truth) = (not @ falsehood))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl530, plain, (((truth) = (not @ falsehood))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.34/0.89 inference('cnf', [status(esa)], [false_definition])).
% 1.34/0.89 thf(zip_derived_cl538, plain,
% 1.34/0.89 (((not @ x)
% 1.34/0.89 != (implies @ (not @ (not @ (not @ (not @ x)))) @
% 1.34/0.89 (not @ (implies @ falsehood @ (not @ x)))))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl169, zip_derived_cl530, zip_derived_cl0,
% 1.34/0.89 zip_derived_cl530, zip_derived_cl15])).
% 1.34/0.89 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.34/0.89 inference('cnf', [status(esa)], [false_definition])).
% 1.34/0.89 thf(zip_derived_cl33, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.34/0.89 thf(zip_derived_cl42, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ falsehood @ X0) = (implies @ (not @ X0) @ truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl33])).
% 1.34/0.89 thf(zip_derived_cl387, plain,
% 1.34/0.89 (((implies @ truth @ (not @ falsehood)) = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl333])).
% 1.34/0.89 thf(wajsberg_2, axiom,
% 1.34/0.89 (( implies @
% 1.34/0.89 ( implies @ X @ Y ) @
% 1.34/0.89 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 1.34/0.89 ( truth ))).
% 1.34/0.89 thf(zip_derived_cl1, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.89 ((implies @ (implies @ X0 @ X1) @
% 1.34/0.89 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.34/0.89 thf(zip_derived_cl1, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.89 ((implies @ (implies @ X0 @ X1) @
% 1.34/0.89 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.34/0.89 thf(zip_derived_cl18, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.89 ((implies @ truth @
% 1.34/0.89 (implies @
% 1.34/0.89 (implies @ (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @
% 1.34/0.89 X0) @
% 1.34/0.89 (implies @ (implies @ X2 @ X1) @ X0)))
% 1.34/0.89 = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 1.34/0.89 thf(zip_derived_cl527, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((implies @ truth @
% 1.34/0.89 (implies @
% 1.34/0.89 (implies @
% 1.34/0.89 (implies @ (implies @ (not @ falsehood) @ X1) @
% 1.34/0.89 (implies @ truth @ X1)) @
% 1.34/0.89 X0) @
% 1.34/0.89 (implies @ truth @ X0)))
% 1.34/0.89 = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl18])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl333, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl223])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl535, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl527, zip_derived_cl0, zip_derived_cl333,
% 1.34/0.89 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl1, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.89 ((implies @ (implies @ X0 @ X1) @
% 1.34/0.89 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.34/0.89 thf(zip_derived_cl1, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.89 ((implies @ (implies @ X0 @ X1) @
% 1.34/0.89 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_2])).
% 1.34/0.89 thf(zip_derived_cl20, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.89 ((implies @ (implies @ (implies @ X1 @ X2) @ X3) @
% 1.34/0.89 (implies @
% 1.34/0.89 (implies @ X3 @
% 1.34/0.89 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))) @
% 1.34/0.89 truth))
% 1.34/0.89 = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1])).
% 1.34/0.89 thf(zip_derived_cl688, plain,
% 1.34/0.89 (![X1 : $i, X2 : $i]:
% 1.34/0.89 ((implies @ (implies @ (implies @ X1 @ X1) @ X2) @
% 1.34/0.89 (implies @ (implies @ X2 @ truth) @ truth)) = (truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl535, zip_derived_cl20])).
% 1.34/0.89 thf(zip_derived_cl535, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl527, zip_derived_cl0, zip_derived_cl333,
% 1.34/0.89 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl68, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.34/0.89 thf(zip_derived_cl535, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl527, zip_derived_cl0, zip_derived_cl333,
% 1.34/0.89 zip_derived_cl0, zip_derived_cl0, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl580, plain,
% 1.34/0.89 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl535])).
% 1.34/0.89 thf(zip_derived_cl758, plain,
% 1.34/0.89 (![X2 : $i]: ((implies @ X2 @ truth) = (truth))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl688, zip_derived_cl535, zip_derived_cl0,
% 1.34/0.89 zip_derived_cl580])).
% 1.34/0.89 thf(zip_derived_cl804, plain,
% 1.34/0.89 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl758])).
% 1.34/0.89 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 1.34/0.89 inference('cnf', [status(esa)], [false_definition])).
% 1.34/0.89 thf(zip_derived_cl33, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.34/0.89 thf(zip_derived_cl530, plain, (((truth) = (not @ falsehood))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl839, plain, (((not @ x) != (not @ (not @ (not @ x))))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl538, zip_derived_cl804, zip_derived_cl15,
% 1.34/0.89 zip_derived_cl33, zip_derived_cl530, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl530, plain, (((truth) = (not @ falsehood))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl33, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 1.34/0.89 thf(zip_derived_cl543, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ (not @ X0) @ falsehood) = (implies @ truth @ X0))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl530, zip_derived_cl33])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl562, plain,
% 1.34/0.89 (![X0 : $i]: ((implies @ (not @ X0) @ falsehood) = (X0))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl543, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl2, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 ((implies @ (implies @ X1 @ X0) @ X0)
% 1.34/0.89 = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_3])).
% 1.34/0.89 thf(zip_derived_cl860, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ((implies @ (implies @ falsehood @ (not @ X0)) @ (not @ X0))
% 1.34/0.89 = (implies @ X0 @ falsehood))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl562, zip_derived_cl2])).
% 1.34/0.89 thf(zip_derived_cl804, plain,
% 1.34/0.89 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl758])).
% 1.34/0.89 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.34/0.89 inference('cnf', [status(esa)], [wajsberg_1])).
% 1.34/0.89 thf(zip_derived_cl877, plain,
% 1.34/0.89 (![X0 : $i]: ((not @ X0) = (implies @ X0 @ falsehood))),
% 1.34/0.89 inference('demod', [status(thm)],
% 1.34/0.89 [zip_derived_cl860, zip_derived_cl804, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl562, plain,
% 1.34/0.89 (![X0 : $i]: ((implies @ (not @ X0) @ falsehood) = (X0))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl543, zip_derived_cl0])).
% 1.34/0.89 thf(zip_derived_cl904, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl877, zip_derived_cl562])).
% 1.34/0.89 thf(zip_derived_cl928, plain, (((not @ x) != (not @ x))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl839, zip_derived_cl904])).
% 1.34/0.89 thf(zip_derived_cl929, plain, ($false),
% 1.34/0.89 inference('simplify', [status(thm)], [zip_derived_cl928])).
% 1.34/0.89
% 1.34/0.89 % SZS output end Refutation
% 1.34/0.89
% 1.34/0.89
% 1.34/0.89 % Terminating...
% 1.67/0.98 % Runner terminated.
% 1.67/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------