%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL161-1 : 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.nuJdgpeXt0 true
% Computer : n027.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 0.42s 0.71s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nuJdgpeXt0 true
% 0.08/0.36 % Computer : n027.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sat Sep 5 08:57:13 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 % Running portfolio for 300 s
% 0.02/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.36 % Number of cores: 8
% 0.02/0.37 % Python version: Python 3.12.3
% 0.02/0.37 % Running in FO mode
% 0.40/0.59 % Total configuration time : 435
% 0.40/0.59 % Estimated wc time : 1092
% 0.40/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.42/0.71 % Solved by fo/fo6_bce.sh.
% 0.42/0.71 % BCE start: 14
% 0.42/0.71 % BCE eliminated: 0
% 0.42/0.71 % PE start: 14
% 0.42/0.71 logic: eq
% 0.42/0.71 % PE eliminated: 0
% 0.42/0.71 % done 43 iterations in 0.026s
% 0.42/0.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.42/0.71 % SZS output start Refutation
% 0.42/0.71 thf(x_type, type, x: $i).
% 0.42/0.71 thf(xor_type, type, xor: $i > $i > $i).
% 0.42/0.71 thf(truth_type, type, truth: $i).
% 0.42/0.71 thf(and_star_type, type, and_star: $i > $i > $i).
% 0.42/0.71 thf(implies_type, type, implies: $i > $i > $i).
% 0.42/0.71 thf(falsehood_type, type, falsehood: $i).
% 0.42/0.71 thf(prove_wajsberg_axiom, conjecture, (( implies @ truth @ x ) = ( x ))).
% 0.42/0.71 thf(zf_stmt_0, negated_conjecture, (( implies @ truth @ x ) != ( x )),
% 0.42/0.71 inference('cnf.neg', [status(esa)], [prove_wajsberg_axiom])).
% 0.42/0.71 thf(zip_derived_cl13, plain, (((implies @ truth @ x) != (x))),
% 0.42/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.42/0.71 thf(and_star_commutativity, axiom,
% 0.42/0.71 (( and_star @ X @ Y ) = ( and_star @ Y @ X ))).
% 0.42/0.71 thf(zip_derived_cl10, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 0.42/0.71 inference('cnf', [status(esa)], [and_star_commutativity])).
% 0.42/0.71 thf(axiom_4, axiom, (( and_star @ X @ truth ) = ( X ))).
% 0.42/0.71 thf(zip_derived_cl3, plain, (![X0 : $i]: ((and_star @ X0 @ truth) = (X0))),
% 0.42/0.71 inference('cnf', [status(esa)], [axiom_4])).
% 0.42/0.71 thf(zip_derived_cl73, plain, (![X0 : $i]: ((and_star @ truth @ X0) = (X0))),
% 0.42/0.71 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 0.42/0.71 thf(implies_definition, axiom,
% 0.42/0.71 (( implies @ X @ Y ) =
% 0.42/0.71 ( xor @ truth @ ( and_star @ X @ ( xor @ truth @ Y ) ) ))).
% 0.42/0.71 thf(zip_derived_cl12, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]:
% 0.42/0.71 ((implies @ X0 @ X1)
% 0.42/0.71 = (xor @ truth @ (and_star @ X0 @ (xor @ truth @ X1))))),
% 0.42/0.71 inference('cnf', [status(esa)], [implies_definition])).
% 0.42/0.71 thf(zip_derived_cl126, plain,
% 0.42/0.71 (![X0 : $i]:
% 0.42/0.71 ((implies @ truth @ X0) = (xor @ truth @ (xor @ truth @ X0)))),
% 0.42/0.71 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl12])).
% 0.42/0.71 thf(zip_derived_cl157, plain, (((xor @ truth @ (xor @ truth @ x)) != (x))),
% 0.42/0.71 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl126])).
% 0.42/0.71 thf(axiom_3, axiom, (( xor @ X @ X ) = ( falsehood ))).
% 0.42/0.71 thf(zip_derived_cl2, plain, (![X0 : $i]: ((xor @ X0 @ X0) = (falsehood))),
% 0.42/0.71 inference('cnf', [status(esa)], [axiom_3])).
% 0.42/0.71 thf(axiom_7, axiom,
% 0.42/0.71 (( xor @ X @ ( xor @ truth @ Y ) ) = ( xor @ ( xor @ X @ truth ) @ Y ))).
% 0.42/0.71 thf(zip_derived_cl6, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]:
% 0.42/0.71 ((xor @ X0 @ (xor @ truth @ X1)) = (xor @ (xor @ X0 @ truth) @ X1))),
% 0.42/0.71 inference('cnf', [status(esa)], [axiom_7])).
% 0.42/0.71 thf(zip_derived_cl31, plain,
% 0.42/0.71 (![X0 : $i]:
% 0.42/0.71 ((xor @ truth @ (xor @ truth @ X0)) = (xor @ falsehood @ X0))),
% 0.42/0.71 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 0.42/0.71 thf(xor_commutativity, axiom, (( xor @ X @ Y ) = ( xor @ Y @ X ))).
% 0.42/0.71 thf(zip_derived_cl8, plain,
% 0.42/0.71 (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 0.42/0.71 inference('cnf', [status(esa)], [xor_commutativity])).
% 0.42/0.71 thf(axiom_2, axiom, (( xor @ X @ falsehood ) = ( X ))).
% 0.42/0.71 thf(zip_derived_cl1, plain, (![X0 : $i]: ((xor @ X0 @ falsehood) = (X0))),
% 0.42/0.71 inference('cnf', [status(esa)], [axiom_2])).
% 0.42/0.71 thf(zip_derived_cl19, plain, (![X0 : $i]: ((xor @ falsehood @ X0) = (X0))),
% 0.42/0.71 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.42/0.71 thf(zip_derived_cl36, plain,
% 0.42/0.71 (![X0 : $i]: ((xor @ truth @ (xor @ truth @ X0)) = (X0))),
% 0.42/0.71 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl19])).
% 0.42/0.71 thf(zip_derived_cl164, plain, (((x) != (x))),
% 0.42/0.71 inference('demod', [status(thm)], [zip_derived_cl157, zip_derived_cl36])).
% 0.42/0.71 thf(zip_derived_cl165, plain, ($false),
% 0.42/0.71 inference('simplify', [status(thm)], [zip_derived_cl164])).
% 0.42/0.71
% 0.42/0.71 % SZS output end Refutation
% 0.42/0.71
% 0.42/0.71
% 0.42/0.72 % Terminating...
% 0.42/0.78 % Runner terminated.
% 1.55/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------