%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL135-1 : 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.LaD4e8hgTG true
% Computer : n003.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 01:35:16 PM UTC 2026
% Result : Unsatisfiable 0.48s 0.77s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL135-1 : 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.LaD4e8hgTG true
% 0.12/0.36 % Computer : n003.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 18:15:36 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Number of cores: 8
% 0.12/0.37 % Python version: Python 3.12.3
% 0.12/0.37 % 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
% 0.48/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.77 % Solved by fo/fo6_bce.sh.
% 0.48/0.77 % BCE start: 5
% 0.48/0.77 % BCE eliminated: 0
% 0.48/0.77 % PE start: 5
% 0.48/0.77 logic: eq
% 0.48/0.77 % PE eliminated: 0
% 0.48/0.77 % done 18 iterations in 0.025s
% 0.48/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.77 % SZS output start Refutation
% 0.48/0.77 thf(y_type, type, y: $i).
% 0.48/0.77 thf(truth_type, type, truth: $i).
% 0.48/0.77 thf(implies_type, type, implies: $i > $i > $i).
% 0.48/0.77 thf(x_type, type, x: $i).
% 0.48/0.77 thf(prove_wajsberg_lemma, conjecture,
% 0.48/0.77 (( implies @ x @ ( implies @ y @ x ) ) = ( truth ))).
% 0.48/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.48/0.77 (( implies @ x @ ( implies @ y @ x ) ) != ( truth )),
% 0.48/0.77 inference('cnf.neg', [status(esa)], [prove_wajsberg_lemma])).
% 0.48/0.77 thf(zip_derived_cl4, plain, (((implies @ x @ (implies @ y @ x)) != (truth))),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.77 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.48/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.77 thf(wajsberg_3, axiom,
% 0.48/0.77 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 0.48/0.77 ( implies @ ( implies @ Y @ X ) @ X ))).
% 0.48/0.77 thf(zip_derived_cl2, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.48/0.77 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.48/0.77 thf(zip_derived_cl38, plain,
% 0.48/0.77 (![X0 : $i]:
% 0.48/0.77 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.48/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.48/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.77 thf(wajsberg_2, axiom,
% 0.48/0.77 (( implies @
% 0.48/0.77 ( implies @ X @ Y ) @
% 0.48/0.77 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 0.48/0.77 ( truth ))).
% 0.48/0.77 thf(zip_derived_cl1, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.77 ((implies @ (implies @ X0 @ X1) @
% 0.48/0.77 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.48/0.77 thf(zip_derived_cl17, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 ((implies @ (implies @ truth @ X1) @
% 0.48/0.77 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.48/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.48/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.77 thf(zip_derived_cl24, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 0.48/0.77 thf(zip_derived_cl97, plain,
% 0.48/0.77 (![X0 : $i]: ((implies @ X0 @ (implies @ X0 @ X0)) = (truth))),
% 0.48/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl24])).
% 0.48/0.77 thf(zip_derived_cl24, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 0.48/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.77 thf(zip_derived_cl94, plain,
% 0.48/0.77 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 0.48/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.48/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.77 thf(zip_derived_cl115, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl0])).
% 0.48/0.77 thf(zip_derived_cl132, plain,
% 0.48/0.77 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl115])).
% 0.48/0.77 thf(zip_derived_cl1, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.77 ((implies @ (implies @ X0 @ X1) @
% 0.48/0.77 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.48/0.77 thf(zip_derived_cl154, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 ((implies @ truth @
% 0.48/0.77 (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 0.48/0.77 truth))),
% 0.48/0.77 inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl1])).
% 0.48/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.77 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.48/0.77 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.48/0.77 thf(zip_derived_cl164, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 0.48/0.77 inference('demod', [status(thm)],
% 0.48/0.77 [zip_derived_cl154, zip_derived_cl0, zip_derived_cl0])).
% 0.48/0.77 thf(zip_derived_cl183, plain, (((truth) != (truth))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl164])).
% 0.48/0.77 thf(zip_derived_cl184, plain, ($false),
% 0.48/0.77 inference('simplify', [status(thm)], [zip_derived_cl183])).
% 0.48/0.77
% 0.48/0.77 % SZS output end Refutation
% 0.48/0.77
% 0.48/0.77
% 0.48/0.77 % Terminating...
% 1.41/0.80 % Runner terminated.
% 1.41/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------