%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL164-1 : 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.g6LYDntwyk true
% Computer : n010.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 01:35:19 PM UTC 2026
% Result : Unsatisfiable 2.19s 1.28s
% Output : Refutation 2.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL164-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g6LYDntwyk true
% 0.18/0.42 % Computer : n010.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sat Sep 5 06:42:38 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 % Running portfolio for 300 s
% 0.18/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Number of cores: 8
% 0.18/0.44 % Python version: Python 3.12.3
% 0.18/0.44 % Running in FO mode
% 0.39/0.83 % Total configuration time : 435
% 0.39/0.83 % Estimated wc time : 1092
% 0.39/0.83 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.94 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.40/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.40/1.04 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.40/1.05 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.19/1.28 % Solved by fo/fo4.sh.
% 2.19/1.28 % done 198 iterations in 0.194s
% 2.19/1.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.19/1.28 % SZS output start Refutation
% 2.19/1.28 thf(x_type, type, x: $i).
% 2.19/1.28 thf(xor_type, type, xor: $i > $i > $i).
% 2.19/1.28 thf(not_type, type, not: $i > $i).
% 2.19/1.28 thf(y_type, type, y: $i).
% 2.19/1.28 thf(truth_type, type, truth: $i).
% 2.19/1.28 thf(and_star_type, type, and_star: $i > $i > $i).
% 2.19/1.28 thf(implies_type, type, implies: $i > $i > $i).
% 2.19/1.28 thf(falsehood_type, type, falsehood: $i).
% 2.19/1.28 thf(prove_wajsberg_axiom, conjecture,
% 2.19/1.28 (( implies @ ( implies @ ( not @ x ) @ ( not @ y ) ) @ ( implies @ y @ x ) ) =
% 2.19/1.28 ( truth ))).
% 2.19/1.28 thf(zf_stmt_0, negated_conjecture,
% 2.19/1.28 (( implies @ ( implies @ ( not @ x ) @ ( not @ y ) ) @ ( implies @ y @ x ) ) !=
% 2.19/1.28 ( truth )),
% 2.19/1.28 inference('cnf.neg', [status(esa)], [prove_wajsberg_axiom])).
% 2.19/1.28 thf(zip_derived_cl13, plain,
% 2.19/1.28 (((implies @ (implies @ (not @ x) @ (not @ y)) @ (implies @ y @ x))
% 2.19/1.28 != (truth))),
% 2.19/1.28 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.19/1.28 thf(false_definition, axiom, (( not @ truth ) = ( falsehood ))).
% 2.19/1.28 thf(zip_derived_cl11, plain, (((not @ truth) = (falsehood))),
% 2.19/1.28 inference('cnf', [status(esa)], [false_definition])).
% 2.19/1.28 thf(axiom_7, axiom,
% 2.19/1.28 (( xor @ X @ ( xor @ truth @ Y ) ) = ( xor @ ( xor @ X @ truth ) @ Y ))).
% 2.19/1.28 thf(zip_derived_cl6, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]:
% 2.19/1.28 ((xor @ X0 @ (xor @ truth @ X1)) = (xor @ (xor @ X0 @ truth) @ X1))),
% 2.19/1.28 inference('cnf', [status(esa)], [axiom_7])).
% 2.19/1.28 thf(xor_commutativity, axiom, (( xor @ X @ Y ) = ( xor @ Y @ X ))).
% 2.19/1.28 thf(zip_derived_cl8, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 2.19/1.28 inference('cnf', [status(esa)], [xor_commutativity])).
% 2.19/1.28 thf(axiom_1, axiom, (( not @ X ) = ( xor @ X @ truth ))).
% 2.19/1.28 thf(zip_derived_cl0, plain, (![X0 : $i]: ((not @ X0) = (xor @ X0 @ truth))),
% 2.19/1.28 inference('cnf', [status(esa)], [axiom_1])).
% 2.19/1.28 thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 2.19/1.28 thf(zip_derived_cl0, plain, (![X0 : $i]: ((not @ X0) = (xor @ X0 @ truth))),
% 2.19/1.28 inference('cnf', [status(esa)], [axiom_1])).
% 2.19/1.28 thf(zip_derived_cl69, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]: ((xor @ X0 @ (not @ X1)) = (xor @ (not @ X0) @ X1))),
% 2.19/1.28 inference('demod', [status(thm)],
% 2.19/1.28 [zip_derived_cl6, zip_derived_cl20, zip_derived_cl0])).
% 2.19/1.28 thf(zip_derived_cl77, plain,
% 2.19/1.28 (![X0 : $i]: ((xor @ truth @ (not @ X0)) = (xor @ falsehood @ X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl69])).
% 2.19/1.28 thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 2.19/1.28 thf(zip_derived_cl8, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 2.19/1.28 inference('cnf', [status(esa)], [xor_commutativity])).
% 2.19/1.28 thf(axiom_2, axiom, (( xor @ X @ falsehood ) = ( X ))).
% 2.19/1.28 thf(zip_derived_cl1, plain, (![X0 : $i]: ((xor @ X0 @ falsehood) = (X0))),
% 2.19/1.28 inference('cnf', [status(esa)], [axiom_2])).
% 2.19/1.28 thf(zip_derived_cl21, plain, (![X0 : $i]: ((xor @ falsehood @ X0) = (X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 2.19/1.28 thf(zip_derived_cl80, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 2.19/1.28 inference('demod', [status(thm)],
% 2.19/1.28 [zip_derived_cl77, zip_derived_cl20, zip_derived_cl21])).
% 2.19/1.28 thf(and_star_commutativity, axiom,
% 2.19/1.28 (( and_star @ X @ Y ) = ( and_star @ Y @ X ))).
% 2.19/1.28 thf(zip_derived_cl10, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 2.19/1.28 inference('cnf', [status(esa)], [and_star_commutativity])).
% 2.19/1.28 thf(implies_definition, axiom,
% 2.19/1.28 (( implies @ X @ Y ) =
% 2.19/1.28 ( xor @ truth @ ( and_star @ X @ ( xor @ truth @ Y ) ) ))).
% 2.19/1.28 thf(zip_derived_cl12, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]:
% 2.19/1.28 ((implies @ X0 @ X1)
% 2.19/1.28 = (xor @ truth @ (and_star @ X0 @ (xor @ truth @ X1))))),
% 2.19/1.28 inference('cnf', [status(esa)], [implies_definition])).
% 2.19/1.28 thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 2.19/1.28 thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 2.19/1.28 thf(zip_derived_cl84, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]:
% 2.19/1.28 ((implies @ X0 @ X1) = (not @ (and_star @ X0 @ (not @ X1))))),
% 2.19/1.28 inference('demod', [status(thm)],
% 2.19/1.28 [zip_derived_cl12, zip_derived_cl20, zip_derived_cl20])).
% 2.19/1.28 thf(zip_derived_cl88, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]:
% 2.19/1.28 ((implies @ X0 @ X1) = (not @ (and_star @ (not @ X1) @ X0)))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl84])).
% 2.19/1.28 thf(zip_derived_cl84, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]:
% 2.19/1.28 ((implies @ X0 @ X1) = (not @ (and_star @ X0 @ (not @ X1))))),
% 2.19/1.28 inference('demod', [status(thm)],
% 2.19/1.28 [zip_derived_cl12, zip_derived_cl20, zip_derived_cl20])).
% 2.19/1.28 thf(zip_derived_cl500, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]:
% 2.19/1.28 ((implies @ (not @ X0) @ X1) = (implies @ (not @ X1) @ X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl84])).
% 2.19/1.28 thf(zip_derived_cl532, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]:
% 2.19/1.28 ((implies @ X0 @ X1) = (implies @ (not @ X1) @ (not @ X0)))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl500])).
% 2.19/1.28 thf(axiom_6, axiom, (( and_star @ ( xor @ truth @ X ) @ X ) = ( falsehood ))).
% 2.19/1.28 thf(zip_derived_cl5, plain,
% 2.19/1.28 (![X0 : $i]: ((and_star @ (xor @ truth @ X0) @ X0) = (falsehood))),
% 2.19/1.28 inference('cnf', [status(esa)], [axiom_6])).
% 2.19/1.28 thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 2.19/1.28 thf(zip_derived_cl29, plain,
% 2.19/1.28 (![X0 : $i]: ((and_star @ (not @ X0) @ X0) = (falsehood))),
% 2.19/1.28 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl20])).
% 2.19/1.28 thf(zip_derived_cl84, plain,
% 2.19/1.28 (![X0 : $i, X1 : $i]:
% 2.19/1.28 ((implies @ X0 @ X1) = (not @ (and_star @ X0 @ (not @ X1))))),
% 2.19/1.28 inference('demod', [status(thm)],
% 2.19/1.28 [zip_derived_cl12, zip_derived_cl20, zip_derived_cl20])).
% 2.19/1.28 thf(zip_derived_cl90, plain,
% 2.19/1.28 (![X0 : $i]: ((implies @ (not @ (not @ X0)) @ X0) = (not @ falsehood))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl84])).
% 2.19/1.28 thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 2.19/1.28 thf(zip_derived_cl1, plain, (![X0 : $i]: ((xor @ X0 @ falsehood) = (X0))),
% 2.19/1.28 inference('cnf', [status(esa)], [axiom_2])).
% 2.19/1.28 thf(zip_derived_cl28, plain, (((not @ falsehood) = (truth))),
% 2.19/1.28 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 2.19/1.28 thf(zip_derived_cl96, plain,
% 2.19/1.28 (![X0 : $i]: ((implies @ (not @ (not @ X0)) @ X0) = (truth))),
% 2.19/1.28 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl28])).
% 2.19/1.28 thf(zip_derived_cl80, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 2.19/1.28 inference('demod', [status(thm)],
% 2.19/1.28 [zip_derived_cl77, zip_derived_cl20, zip_derived_cl21])).
% 2.19/1.28 thf(zip_derived_cl210, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 2.19/1.28 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl80])).
% 2.19/1.28 thf(zip_derived_cl560, plain, (((truth) != (truth))),
% 2.19/1.28 inference('demod', [status(thm)],
% 2.19/1.28 [zip_derived_cl13, zip_derived_cl532, zip_derived_cl210])).
% 2.19/1.28 thf(zip_derived_cl561, plain, ($false),
% 2.19/1.28 inference('simplify', [status(thm)], [zip_derived_cl560])).
% 2.19/1.28
% 2.19/1.28 % SZS output end Refutation
% 2.19/1.28
% 2.19/1.28
% 2.19/1.28 % Terminating...
% 0.74/1.34 % Runner terminated.
% 0.74/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------