%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL163-1 : 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.NXUsSUZ5aQ 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 4.53s 1.22s
% Output : Refutation 4.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL163-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NXUsSUZ5aQ true
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 17:29:53 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.38/0.58 % Total configuration time : 435
% 0.38/0.58 % Estimated wc time : 1092
% 0.38/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.42/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 4.53/1.22 % Solved by fo/fo6_bce.sh.
% 4.53/1.22 % BCE start: 14
% 4.53/1.22 % BCE eliminated: 0
% 4.53/1.22 % PE start: 14
% 4.53/1.22 logic: eq
% 4.53/1.22 % PE eliminated: 0
% 4.53/1.22 % done 247 iterations in 0.547s
% 4.53/1.22 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.53/1.22 % SZS output start Refutation
% 4.53/1.22 thf(x_type, type, x: $i).
% 4.53/1.22 thf(xor_type, type, xor: $i > $i > $i).
% 4.53/1.22 thf(y_type, type, y: $i).
% 4.53/1.22 thf(truth_type, type, truth: $i).
% 4.53/1.22 thf(and_star_type, type, and_star: $i > $i > $i).
% 4.53/1.22 thf(implies_type, type, implies: $i > $i > $i).
% 4.53/1.22 thf(falsehood_type, type, falsehood: $i).
% 4.53/1.22 thf(prove_wajsberg_axiom, conjecture,
% 4.53/1.22 (( implies @ ( implies @ x @ y ) @ y ) =
% 4.53/1.22 ( implies @ ( implies @ y @ x ) @ x ))).
% 4.53/1.22 thf(zf_stmt_0, negated_conjecture,
% 4.53/1.22 (( implies @ ( implies @ x @ y ) @ y ) !=
% 4.53/1.22 ( implies @ ( implies @ y @ x ) @ x )),
% 4.53/1.22 inference('cnf.neg', [status(esa)], [prove_wajsberg_axiom])).
% 4.53/1.22 thf(zip_derived_cl13, plain,
% 4.53/1.22 (((implies @ (implies @ x @ y) @ y) != (implies @ (implies @ y @ x) @ x))),
% 4.53/1.22 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.53/1.22 thf(implies_definition, axiom,
% 4.53/1.22 (( implies @ X @ Y ) =
% 4.53/1.22 ( xor @ truth @ ( and_star @ X @ ( xor @ truth @ Y ) ) ))).
% 4.53/1.22 thf(zip_derived_cl12, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((implies @ X0 @ X1)
% 4.53/1.22 = (xor @ truth @ (and_star @ X0 @ (xor @ truth @ X1))))),
% 4.53/1.22 inference('cnf', [status(esa)], [implies_definition])).
% 4.53/1.22 thf(axiom_8, axiom,
% 4.53/1.22 (( and_star @ ( xor @ ( and_star @ ( xor @ truth @ X ) @ Y ) @ truth ) @ Y ) =
% 4.53/1.22 ( and_star @ ( xor @ ( and_star @ ( xor @ truth @ Y ) @ X ) @ truth ) @ X ))).
% 4.53/1.22 thf(zip_derived_cl7, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((and_star @ (xor @ (and_star @ (xor @ truth @ X1) @ X0) @ truth) @ X0)
% 4.53/1.22 = (and_star @
% 4.53/1.22 (xor @ (and_star @ (xor @ truth @ X0) @ X1) @ truth) @ X1))),
% 4.53/1.22 inference('cnf', [status(esa)], [axiom_8])).
% 4.53/1.22 thf(xor_commutativity, axiom, (( xor @ X @ Y ) = ( xor @ Y @ X ))).
% 4.53/1.22 thf(zip_derived_cl8, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 4.53/1.22 inference('cnf', [status(esa)], [xor_commutativity])).
% 4.53/1.22 thf(zip_derived_cl8, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 4.53/1.22 inference('cnf', [status(esa)], [xor_commutativity])).
% 4.53/1.22 thf(zip_derived_cl40, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((and_star @ (xor @ truth @ (and_star @ (xor @ truth @ X1) @ X0)) @ X0)
% 4.53/1.22 = (and_star @
% 4.53/1.22 (xor @ truth @ (and_star @ (xor @ truth @ X0) @ X1)) @ X1))),
% 4.53/1.22 inference('demod', [status(thm)],
% 4.53/1.22 [zip_derived_cl7, zip_derived_cl8, zip_derived_cl8])).
% 4.53/1.22 thf(zip_derived_cl119, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((and_star @ (implies @ (xor @ truth @ X1) @ X0) @ (xor @ truth @ X0))
% 4.53/1.22 = (and_star @
% 4.53/1.22 (xor @ truth @
% 4.53/1.22 (and_star @ (xor @ truth @ (xor @ truth @ X0)) @ X1)) @
% 4.53/1.22 X1))),
% 4.53/1.22 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl40])).
% 4.53/1.22 thf(axiom_3, axiom, (( xor @ X @ X ) = ( falsehood ))).
% 4.53/1.22 thf(zip_derived_cl2, plain, (![X0 : $i]: ((xor @ X0 @ X0) = (falsehood))),
% 4.53/1.22 inference('cnf', [status(esa)], [axiom_3])).
% 4.53/1.22 thf(axiom_7, axiom,
% 4.53/1.22 (( xor @ X @ ( xor @ truth @ Y ) ) = ( xor @ ( xor @ X @ truth ) @ Y ))).
% 4.53/1.22 thf(zip_derived_cl6, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((xor @ X0 @ (xor @ truth @ X1)) = (xor @ (xor @ X0 @ truth) @ X1))),
% 4.53/1.22 inference('cnf', [status(esa)], [axiom_7])).
% 4.53/1.22 thf(zip_derived_cl31, plain,
% 4.53/1.22 (![X0 : $i]:
% 4.53/1.22 ((xor @ truth @ (xor @ truth @ X0)) = (xor @ falsehood @ X0))),
% 4.53/1.22 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 4.53/1.22 thf(zip_derived_cl8, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 4.53/1.22 inference('cnf', [status(esa)], [xor_commutativity])).
% 4.53/1.22 thf(axiom_2, axiom, (( xor @ X @ falsehood ) = ( X ))).
% 4.53/1.22 thf(zip_derived_cl1, plain, (![X0 : $i]: ((xor @ X0 @ falsehood) = (X0))),
% 4.53/1.22 inference('cnf', [status(esa)], [axiom_2])).
% 4.53/1.22 thf(zip_derived_cl19, plain, (![X0 : $i]: ((xor @ falsehood @ X0) = (X0))),
% 4.53/1.22 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 4.53/1.22 thf(zip_derived_cl36, plain,
% 4.53/1.22 (![X0 : $i]: ((xor @ truth @ (xor @ truth @ X0)) = (X0))),
% 4.53/1.22 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl19])).
% 4.53/1.22 thf(and_star_commutativity, axiom,
% 4.53/1.22 (( and_star @ X @ Y ) = ( and_star @ Y @ X ))).
% 4.53/1.22 thf(zip_derived_cl10, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 4.53/1.22 inference('cnf', [status(esa)], [and_star_commutativity])).
% 4.53/1.22 thf(zip_derived_cl2189, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((and_star @ (implies @ (xor @ truth @ X1) @ X0) @ (xor @ truth @ X0))
% 4.53/1.22 = (and_star @ X1 @ (xor @ truth @ (and_star @ X0 @ X1))))),
% 4.53/1.22 inference('demod', [status(thm)],
% 4.53/1.22 [zip_derived_cl119, zip_derived_cl36, zip_derived_cl10])).
% 4.53/1.22 thf(zip_derived_cl10, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 4.53/1.22 inference('cnf', [status(esa)], [and_star_commutativity])).
% 4.53/1.22 thf(zip_derived_cl12, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((implies @ X0 @ X1)
% 4.53/1.22 = (xor @ truth @ (and_star @ X0 @ (xor @ truth @ X1))))),
% 4.53/1.22 inference('cnf', [status(esa)], [implies_definition])).
% 4.53/1.22 thf(zip_derived_cl121, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((implies @ X0 @ X1)
% 4.53/1.22 = (xor @ truth @ (and_star @ (xor @ truth @ X1) @ X0)))),
% 4.53/1.22 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl12])).
% 4.53/1.22 thf(zip_derived_cl2374, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((implies @ (xor @ truth @ (and_star @ X0 @ (xor @ truth @ X1))) @ X1)
% 4.53/1.22 = (xor @ truth @
% 4.53/1.22 (and_star @
% 4.53/1.22 (implies @ (xor @ truth @ (xor @ truth @ X1)) @ X0) @
% 4.53/1.22 (xor @ truth @ X0))))),
% 4.53/1.22 inference('s_sup+', [status(thm)],
% 4.53/1.22 [zip_derived_cl2189, zip_derived_cl121])).
% 4.53/1.22 thf(zip_derived_cl12, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((implies @ X0 @ X1)
% 4.53/1.22 = (xor @ truth @ (and_star @ X0 @ (xor @ truth @ X1))))),
% 4.53/1.22 inference('cnf', [status(esa)], [implies_definition])).
% 4.53/1.22 thf(zip_derived_cl36, plain,
% 4.53/1.22 (![X0 : $i]: ((xor @ truth @ (xor @ truth @ X0)) = (X0))),
% 4.53/1.22 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl19])).
% 4.53/1.22 thf(zip_derived_cl10, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 4.53/1.22 inference('cnf', [status(esa)], [and_star_commutativity])).
% 4.53/1.22 thf(zip_derived_cl121, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((implies @ X0 @ X1)
% 4.53/1.22 = (xor @ truth @ (and_star @ (xor @ truth @ X1) @ X0)))),
% 4.53/1.22 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl12])).
% 4.53/1.22 thf(zip_derived_cl2398, plain,
% 4.53/1.22 (![X0 : $i, X1 : $i]:
% 4.53/1.22 ((implies @ (implies @ X0 @ X1) @ X1)
% 4.53/1.22 = (implies @ (implies @ X1 @ X0) @ X0))),
% 4.53/1.22 inference('demod', [status(thm)],
% 4.53/1.22 [zip_derived_cl2374, zip_derived_cl12, zip_derived_cl36,
% 4.53/1.22 zip_derived_cl10, zip_derived_cl121])).
% 4.53/1.22 thf(zip_derived_cl2415, plain,
% 4.53/1.22 (((implies @ (implies @ x @ y) @ y) != (implies @ (implies @ x @ y) @ y))),
% 4.53/1.22 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl2398])).
% 4.53/1.22 thf(zip_derived_cl2416, plain, ($false),
% 4.53/1.22 inference('simplify', [status(thm)], [zip_derived_cl2415])).
% 4.53/1.22
% 4.53/1.22 % SZS output end Refutation
% 4.53/1.22
% 4.53/1.22
% 4.53/1.22 % Terminating...
% 4.53/1.24 % Runner terminated.
% 4.53/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------