%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL153-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fX8iHigDQk true
% Computer : n017.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 01:35:17 PM UTC 2026
% Result : Unsatisfiable 0.51s 0.95s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL153-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fX8iHigDQk true
% 0.12/0.36 % Computer : n017.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sat Sep 5 11:41:36 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.12.3
% 0.15/0.37 % Running in FO mode
% 0.47/0.66 % Total configuration time : 435
% 0.47/0.66 % Estimated wc time : 1092
% 0.47/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.95 % Solved by fo/fo6_bce.sh.
% 0.51/0.95 % BCE start: 17
% 0.51/0.95 % BCE eliminated: 0
% 0.51/0.95 % PE start: 17
% 0.51/0.95 logic: eq
% 0.51/0.95 % PE eliminated: 0
% 0.51/0.95 % done 108 iterations in 0.190s
% 0.51/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.95 % SZS output start Refutation
% 0.51/0.95 thf(and_type, type, and: $i > $i > $i).
% 0.51/0.95 thf(xor_type, type, xor: $i > $i > $i).
% 0.51/0.95 thf(x_type, type, x: $i).
% 0.51/0.95 thf(or_type, type, or: $i > $i > $i).
% 0.51/0.95 thf(truth_type, type, truth: $i).
% 0.51/0.95 thf(implies_type, type, implies: $i > $i > $i).
% 0.51/0.95 thf(falsehood_type, type, falsehood: $i).
% 0.51/0.95 thf(not_type, type, not: $i > $i).
% 0.51/0.95 thf(prove_alternative_wajsberg_axiom, conjecture,
% 0.51/0.95 (( not @ x ) = ( xor @ x @ truth ))).
% 0.51/0.95 thf(zf_stmt_0, negated_conjecture, (( not @ x ) != ( xor @ x @ truth )),
% 0.51/0.95 inference('cnf.neg', [status(esa)], [prove_alternative_wajsberg_axiom])).
% 0.51/0.95 thf(zip_derived_cl16, plain, (((not @ x) != (xor @ x @ truth))),
% 0.51/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.95 thf(xor_commutativity, axiom, (( xor @ X @ Y ) = ( xor @ Y @ X ))).
% 0.51/0.95 thf(zip_derived_cl11, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 0.51/0.95 inference('cnf', [status(esa)], [xor_commutativity])).
% 0.51/0.95 thf(zip_derived_cl32, plain, (((not @ x) != (xor @ truth @ x))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.51/0.95 thf(false_definition, axiom, (( not @ truth ) = ( falsehood ))).
% 0.51/0.95 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.51/0.95 inference('cnf', [status(esa)], [false_definition])).
% 0.51/0.95 thf(and_definition, axiom,
% 0.51/0.95 (( and @ X @ Y ) = ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ))).
% 0.51/0.95 thf(zip_derived_cl7, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 0.51/0.95 inference('cnf', [status(esa)], [and_definition])).
% 0.51/0.95 thf(or_definition, axiom, (( or @ X @ Y ) = ( implies @ ( not @ X ) @ Y ))).
% 0.51/0.95 thf(zip_derived_cl4, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.51/0.95 inference('cnf', [status(esa)], [or_definition])).
% 0.51/0.95 thf(zip_derived_cl127, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.51/0.95 thf(zip_derived_cl136, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((and @ truth @ X0)
% 0.51/0.95 = (not @ (implies @ (not @ falsehood) @ (not @ X0))))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl127])).
% 0.51/0.95 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(wajsberg_2, axiom,
% 0.51/0.95 (( implies @
% 0.51/0.95 ( implies @ X @ Y ) @
% 0.51/0.95 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 0.51/0.95 ( truth ))).
% 0.51/0.95 thf(zip_derived_cl1, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.95 ((implies @ (implies @ X0 @ X1) @
% 0.51/0.95 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.51/0.95 thf(zip_derived_cl23, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ (implies @ truth @ X1) @
% 0.51/0.95 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl28, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl52, plain,
% 0.51/0.95 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl66, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 0.51/0.95 thf(or_commutativity, axiom, (( or @ X @ Y ) = ( or @ Y @ X ))).
% 0.51/0.95 thf(zip_derived_cl6, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 0.51/0.95 inference('cnf', [status(esa)], [or_commutativity])).
% 0.51/0.95 thf(zip_derived_cl4, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.51/0.95 inference('cnf', [status(esa)], [or_definition])).
% 0.51/0.95 thf(zip_derived_cl4, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.51/0.95 inference('cnf', [status(esa)], [or_definition])).
% 0.51/0.95 thf(zip_derived_cl126, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 0.51/0.95 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.51/0.95 inference('cnf', [status(esa)], [false_definition])).
% 0.51/0.95 thf(zip_derived_cl126, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 0.51/0.95 thf(zip_derived_cl213, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((implies @ falsehood @ X0) = (implies @ (not @ X0) @ truth))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl126])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(wajsberg_3, axiom,
% 0.51/0.95 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 0.51/0.95 ( implies @ ( implies @ Y @ X ) @ X ))).
% 0.51/0.95 thf(zip_derived_cl2, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.51/0.95 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.51/0.95 thf(zip_derived_cl40, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.51/0.95 thf(zip_derived_cl66, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl102, plain,
% 0.51/0.95 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl66])).
% 0.51/0.95 thf(zip_derived_cl28, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl111, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl28])).
% 0.51/0.95 thf(zip_derived_cl217, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl111])).
% 0.51/0.95 thf(zip_derived_cl2, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.51/0.95 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.51/0.95 thf(zip_derived_cl235, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((implies @ (implies @ X0 @ falsehood) @ falsehood)
% 0.51/0.95 = (implies @ truth @ X0))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl2])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl242, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ (implies @ X0 @ falsehood) @ falsehood) = (X0))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl443, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((implies @ (implies @ (not @ falsehood) @ X0) @ falsehood)
% 0.51/0.95 = (not @ X0))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl242])).
% 0.51/0.95 thf(zip_derived_cl689, plain,
% 0.51/0.95 (((implies @ truth @ falsehood) = (not @ (not @ falsehood)))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl443])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl695, plain, (((falsehood) = (not @ (not @ falsehood)))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl689, zip_derived_cl0])).
% 0.51/0.95 thf(wajsberg_4, axiom,
% 0.51/0.95 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 0.51/0.95 ( truth ))).
% 0.51/0.95 thf(zip_derived_cl3, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.51/0.95 = (truth))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.51/0.95 thf(zip_derived_cl702, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((implies @ (implies @ falsehood @ (not @ X0)) @
% 0.51/0.95 (implies @ X0 @ (not @ falsehood))) = (truth))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl695, zip_derived_cl3])).
% 0.51/0.95 thf(zip_derived_cl217, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl111])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl715, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ X0 @ (not @ falsehood)) = (truth))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl702, zip_derived_cl217, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl944, plain, (((truth) = (not @ falsehood))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl715, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl981, plain,
% 0.51/0.95 (![X0 : $i]: ((and @ truth @ X0) = (not @ (not @ X0)))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl136, zip_derived_cl944, zip_derived_cl0])).
% 0.51/0.95 thf(xor_definition, axiom,
% 0.51/0.95 (( xor @ X @ Y ) =
% 0.51/0.95 ( or @ ( and @ X @ ( not @ Y ) ) @ ( and @ ( not @ X ) @ Y ) ))).
% 0.51/0.95 thf(zip_derived_cl10, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((xor @ X0 @ X1)
% 0.51/0.95 = (or @ (and @ X0 @ (not @ X1)) @ (and @ (not @ X0) @ X1)))),
% 0.51/0.95 inference('cnf', [status(esa)], [xor_definition])).
% 0.51/0.95 thf(zip_derived_cl1393, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((xor @ truth @ X0)
% 0.51/0.95 = (or @ (not @ (not @ (not @ X0))) @ (and @ (not @ truth) @ X0)))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl981, zip_derived_cl10])).
% 0.51/0.95 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.51/0.95 inference('cnf', [status(esa)], [false_definition])).
% 0.51/0.95 thf(zip_derived_cl695, plain, (((falsehood) = (not @ (not @ falsehood)))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl689, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl127, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.51/0.95 thf(zip_derived_cl714, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((and @ falsehood @ X0) = (not @ (implies @ falsehood @ (not @ X0))))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl695, zip_derived_cl127])).
% 0.51/0.95 thf(zip_derived_cl217, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl111])).
% 0.51/0.95 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.51/0.95 inference('cnf', [status(esa)], [false_definition])).
% 0.51/0.95 thf(zip_derived_cl723, plain,
% 0.51/0.95 (![X0 : $i]: ((and @ falsehood @ X0) = (falsehood))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl714, zip_derived_cl217, zip_derived_cl15])).
% 0.51/0.95 thf(zip_derived_cl4, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.51/0.95 inference('cnf', [status(esa)], [or_definition])).
% 0.51/0.95 thf(zip_derived_cl126, plain,
% 0.51/0.95 (![X0 : $i, X1 : $i]:
% 0.51/0.95 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 0.51/0.95 thf(zip_derived_cl944, plain, (((truth) = (not @ falsehood))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl715, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl1399, plain,
% 0.51/0.95 (![X0 : $i]: ((xor @ truth @ X0) = (not @ (not @ (not @ X0))))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl1393, zip_derived_cl15, zip_derived_cl723,
% 0.51/0.95 zip_derived_cl4, zip_derived_cl126, zip_derived_cl944,
% 0.51/0.95 zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl1402, plain, (((not @ x) != (not @ (not @ (not @ x))))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl1399])).
% 0.51/0.95 thf(zip_derived_cl443, plain,
% 0.51/0.95 (![X0 : $i]:
% 0.51/0.95 ((implies @ (implies @ (not @ falsehood) @ X0) @ falsehood)
% 0.51/0.95 = (not @ X0))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl242])).
% 0.51/0.95 thf(zip_derived_cl944, plain, (((truth) = (not @ falsehood))),
% 0.51/0.95 inference('s_sup+', [status(thm)], [zip_derived_cl715, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.51/0.95 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.51/0.95 thf(zip_derived_cl983, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ X0 @ falsehood) = (not @ X0))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl443, zip_derived_cl944, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl983, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ X0 @ falsehood) = (not @ X0))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl443, zip_derived_cl944, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl983, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ X0 @ falsehood) = (not @ X0))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl443, zip_derived_cl944, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl242, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ (implies @ X0 @ falsehood) @ falsehood) = (X0))),
% 0.51/0.95 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl983, plain,
% 0.51/0.95 (![X0 : $i]: ((implies @ X0 @ falsehood) = (not @ X0))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl443, zip_derived_cl944, zip_derived_cl0])).
% 0.51/0.95 thf(zip_derived_cl1434, plain,
% 0.51/0.95 (((implies @ x @ falsehood) != (implies @ x @ falsehood))),
% 0.51/0.95 inference('demod', [status(thm)],
% 0.51/0.95 [zip_derived_cl1402, zip_derived_cl983, zip_derived_cl983,
% 0.51/0.95 zip_derived_cl983, zip_derived_cl242, zip_derived_cl983])).
% 0.51/0.95 thf(zip_derived_cl1435, plain, ($false),
% 0.51/0.95 inference('simplify', [status(thm)], [zip_derived_cl1434])).
% 0.51/0.95
% 0.51/0.95 % SZS output end Refutation
% 0.51/0.95
% 0.51/0.95
% 0.51/0.95 % Terminating...
% 0.51/0.98 % Runner terminated.
% 0.51/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------