%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL154-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aqn3PLamhU true
% Computer : n016.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 01:35:18 PM UTC 2026
% Result : Unsatisfiable 0.52s 1.06s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL154-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aqn3PLamhU true
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 00:29:43 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Number of cores: 8
% 0.11/0.38 % Python version: Python 3.12.3
% 0.11/0.39 % Running in FO mode
% 0.45/0.68 % Total configuration time : 435
% 0.45/0.68 % Estimated wc time : 1092
% 0.45/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.82 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.82 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/1.06 % Solved by fo/fo6_bce.sh.
% 0.52/1.06 % BCE start: 17
% 0.52/1.06 % BCE eliminated: 0
% 0.52/1.06 % PE start: 17
% 0.52/1.06 logic: eq
% 0.52/1.06 % PE eliminated: 0
% 0.52/1.06 % done 148 iterations in 0.280s
% 0.52/1.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/1.06 % SZS output start Refutation
% 0.52/1.06 thf(and_type, type, and: $i > $i > $i).
% 0.52/1.06 thf(xor_type, type, xor: $i > $i > $i).
% 0.52/1.06 thf(x_type, type, x: $i).
% 0.52/1.06 thf(or_type, type, or: $i > $i > $i).
% 0.52/1.06 thf(truth_type, type, truth: $i).
% 0.52/1.06 thf(implies_type, type, implies: $i > $i > $i).
% 0.52/1.06 thf(falsehood_type, type, falsehood: $i).
% 0.52/1.06 thf(not_type, type, not: $i > $i).
% 0.52/1.06 thf(prove_alternative_wajsberg_axiom, conjecture,
% 0.52/1.06 (( xor @ x @ falsehood ) = ( x ))).
% 0.52/1.06 thf(zf_stmt_0, negated_conjecture, (( xor @ x @ falsehood ) != ( x )),
% 0.52/1.06 inference('cnf.neg', [status(esa)], [prove_alternative_wajsberg_axiom])).
% 0.52/1.06 thf(zip_derived_cl16, plain, (((xor @ x @ falsehood) != (x))),
% 0.52/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.52/1.06 thf(xor_commutativity, axiom, (( xor @ X @ Y ) = ( xor @ Y @ X ))).
% 0.52/1.06 thf(zip_derived_cl11, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [xor_commutativity])).
% 0.52/1.06 thf(zip_derived_cl32, plain, (((xor @ falsehood @ x) != (x))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.52/1.06 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(wajsberg_2, axiom,
% 0.52/1.06 (( implies @
% 0.52/1.06 ( implies @ X @ Y ) @
% 0.52/1.06 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 0.52/1.06 ( truth ))).
% 0.52/1.06 thf(zip_derived_cl1, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/1.06 ((implies @ (implies @ X0 @ X1) @
% 0.52/1.06 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.52/1.06 thf(zip_derived_cl23, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ (implies @ truth @ X1) @
% 0.52/1.06 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl28, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl52, plain,
% 0.52/1.06 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl66, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 0.52/1.06 thf(or_commutativity, axiom, (( or @ X @ Y ) = ( or @ Y @ X ))).
% 0.52/1.06 thf(zip_derived_cl6, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [or_commutativity])).
% 0.52/1.06 thf(or_definition, axiom, (( or @ X @ Y ) = ( implies @ ( not @ X ) @ Y ))).
% 0.52/1.06 thf(zip_derived_cl4, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [or_definition])).
% 0.52/1.06 thf(zip_derived_cl4, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [or_definition])).
% 0.52/1.06 thf(zip_derived_cl145, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 0.52/1.06 thf(false_definition, axiom, (( not @ truth ) = ( falsehood ))).
% 0.52/1.06 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.52/1.06 inference('cnf', [status(esa)], [false_definition])).
% 0.52/1.06 thf(zip_derived_cl145, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 0.52/1.06 thf(zip_derived_cl213, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((implies @ falsehood @ X0) = (implies @ (not @ X0) @ truth))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl145])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(wajsberg_3, axiom,
% 0.52/1.06 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 0.52/1.06 ( implies @ ( implies @ Y @ X ) @ X ))).
% 0.52/1.06 thf(zip_derived_cl2, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.52/1.06 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.52/1.06 thf(zip_derived_cl40, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.52/1.06 thf(zip_derived_cl66, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl102, plain,
% 0.52/1.06 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl66])).
% 0.52/1.06 thf(zip_derived_cl28, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl111, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl28])).
% 0.52/1.06 thf(zip_derived_cl217, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl111])).
% 0.52/1.06 thf(zip_derived_cl2, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.52/1.06 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.52/1.06 thf(zip_derived_cl222, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((implies @ (implies @ X0 @ falsehood) @ falsehood)
% 0.52/1.06 = (implies @ truth @ X0))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl2])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl229, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ (implies @ X0 @ falsehood) @ falsehood) = (X0))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl278, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((implies @ (implies @ (not @ falsehood) @ X0) @ falsehood)
% 0.52/1.06 = (not @ X0))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl229])).
% 0.52/1.06 thf(zip_derived_cl477, plain,
% 0.52/1.06 (((implies @ truth @ falsehood) = (not @ (not @ falsehood)))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl66, zip_derived_cl278])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl483, plain, (((falsehood) = (not @ (not @ falsehood)))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl0])).
% 0.52/1.06 thf(wajsberg_4, axiom,
% 0.52/1.06 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 0.52/1.06 ( truth ))).
% 0.52/1.06 thf(zip_derived_cl3, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.52/1.06 = (truth))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.52/1.06 thf(zip_derived_cl490, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((implies @ (implies @ falsehood @ (not @ X0)) @
% 0.52/1.06 (implies @ X0 @ (not @ falsehood))) = (truth))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl3])).
% 0.52/1.06 thf(zip_derived_cl217, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl111])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl501, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ X0 @ (not @ falsehood)) = (truth))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl490, zip_derived_cl217, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl704, plain, (((truth) = (not @ falsehood))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl0])).
% 0.52/1.06 thf(xor_definition, axiom,
% 0.52/1.06 (( xor @ X @ Y ) =
% 0.52/1.06 ( or @ ( and @ X @ ( not @ Y ) ) @ ( and @ ( not @ X ) @ Y ) ))).
% 0.52/1.06 thf(zip_derived_cl10, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((xor @ X0 @ X1)
% 0.52/1.06 = (or @ (and @ X0 @ (not @ X1)) @ (and @ (not @ X0) @ X1)))),
% 0.52/1.06 inference('cnf', [status(esa)], [xor_definition])).
% 0.52/1.06 thf(zip_derived_cl738, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((xor @ falsehood @ X0)
% 0.52/1.06 = (or @ (and @ falsehood @ (not @ X0)) @ (and @ truth @ X0)))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl704, zip_derived_cl10])).
% 0.52/1.06 thf(zip_derived_cl483, plain, (((falsehood) = (not @ (not @ falsehood)))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl0])).
% 0.52/1.06 thf(and_definition, axiom,
% 0.52/1.06 (( and @ X @ Y ) = ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ))).
% 0.52/1.06 thf(zip_derived_cl7, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 0.52/1.06 inference('cnf', [status(esa)], [and_definition])).
% 0.52/1.06 thf(zip_derived_cl4, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [or_definition])).
% 0.52/1.06 thf(zip_derived_cl146, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.52/1.06 thf(zip_derived_cl500, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((and @ falsehood @ X0) = (not @ (implies @ falsehood @ (not @ X0))))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl146])).
% 0.52/1.06 thf(zip_derived_cl217, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ falsehood @ X0) = (truth))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl111])).
% 0.52/1.06 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.52/1.06 inference('cnf', [status(esa)], [false_definition])).
% 0.52/1.06 thf(zip_derived_cl506, plain,
% 0.52/1.06 (![X0 : $i]: ((and @ falsehood @ X0) = (falsehood))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl500, zip_derived_cl217, zip_derived_cl15])).
% 0.52/1.06 thf(zip_derived_cl4, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [or_definition])).
% 0.52/1.06 thf(zip_derived_cl704, plain, (((truth) = (not @ falsehood))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl748, plain,
% 0.52/1.06 (![X0 : $i]: ((xor @ falsehood @ X0) = (and @ truth @ X0))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl738, zip_derived_cl506, zip_derived_cl4,
% 0.52/1.06 zip_derived_cl704, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl761, plain, (((and @ truth @ x) != (x))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl748])).
% 0.52/1.06 thf(zip_derived_cl483, plain, (((falsehood) = (not @ (not @ falsehood)))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl146, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.52/1.06 thf(zip_derived_cl499, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((and @ X0 @ (not @ falsehood))
% 0.52/1.06 = (not @ (implies @ (not @ (not @ X0)) @ falsehood)))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl483, zip_derived_cl146])).
% 0.52/1.06 thf(zip_derived_cl145, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]:
% 0.52/1.06 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 0.52/1.06 thf(zip_derived_cl505, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((and @ X0 @ (not @ falsehood))
% 0.52/1.06 = (not @ (implies @ (not @ falsehood) @ (not @ X0))))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl499, zip_derived_cl145])).
% 0.52/1.06 thf(zip_derived_cl704, plain, (((truth) = (not @ falsehood))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl704, plain, (((truth) = (not @ falsehood))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl278, plain,
% 0.52/1.06 (![X0 : $i]:
% 0.52/1.06 ((implies @ (implies @ (not @ falsehood) @ X0) @ falsehood)
% 0.52/1.06 = (not @ X0))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl229])).
% 0.52/1.06 thf(zip_derived_cl704, plain, (((truth) = (not @ falsehood))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl501, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl734, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ X0 @ falsehood) = (not @ X0))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl278, zip_derived_cl704, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.52/1.06 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.52/1.06 thf(zip_derived_cl734, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ X0 @ falsehood) = (not @ X0))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl278, zip_derived_cl704, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl229, plain,
% 0.52/1.06 (![X0 : $i]: ((implies @ (implies @ X0 @ falsehood) @ falsehood) = (X0))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl0])).
% 0.52/1.06 thf(zip_derived_cl1878, plain, (![X0 : $i]: ((and @ X0 @ truth) = (X0))),
% 0.52/1.06 inference('demod', [status(thm)],
% 0.52/1.06 [zip_derived_cl505, zip_derived_cl704, zip_derived_cl704,
% 0.52/1.06 zip_derived_cl734, zip_derived_cl0, zip_derived_cl734,
% 0.52/1.06 zip_derived_cl229])).
% 0.52/1.06 thf(and_commutativity, axiom, (( and @ X @ Y ) = ( and @ Y @ X ))).
% 0.52/1.06 thf(zip_derived_cl9, plain,
% 0.52/1.06 (![X0 : $i, X1 : $i]: ((and @ X1 @ X0) = (and @ X0 @ X1))),
% 0.52/1.06 inference('cnf', [status(esa)], [and_commutativity])).
% 0.52/1.06 thf(zip_derived_cl1882, plain, (![X0 : $i]: ((and @ truth @ X0) = (X0))),
% 0.52/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl1878, zip_derived_cl9])).
% 0.52/1.06 thf(zip_derived_cl2067, plain, (((x) != (x))),
% 0.52/1.06 inference('demod', [status(thm)], [zip_derived_cl761, zip_derived_cl1882])).
% 0.52/1.06 thf(zip_derived_cl2068, plain, ($false),
% 0.52/1.06 inference('simplify', [status(thm)], [zip_derived_cl2067])).
% 0.52/1.06
% 0.52/1.06 % SZS output end Refutation
% 0.52/1.06
% 0.52/1.06
% 0.52/1.06 % Terminating...
% 3.00/1.09 % Runner terminated.
% 3.00/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------