%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO075-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r3yhsSEC0b true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:29:53 PM UTC 2025
% Result : Unsatisfiable 0.59s 1.01s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO075-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.r3yhsSEC0b true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 13:56:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.55/0.65 % Total configuration time : 435
% 0.55/0.65 % Estimated wc time : 1092
% 0.55/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/1.01 % Solved by fo/fo3_bce.sh.
% 0.59/1.01 % BCE start: 2
% 0.59/1.01 % BCE eliminated: 0
% 0.59/1.01 % PE start: 2
% 0.59/1.01 logic: eq
% 0.59/1.01 % PE eliminated: 0
% 0.59/1.01 % done 39 iterations in 0.244s
% 0.59/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/1.01 % SZS output start Refutation
% 0.59/1.01 thf(b_type, type, b: $i).
% 0.59/1.01 thf(a_type, type, a: $i).
% 0.59/1.01 thf(nand_type, type, nand: $i > $i > $i).
% 0.59/1.01 thf(prove_meredith_2_basis_1, conjecture,
% 0.59/1.01 (( nand @ ( nand @ a @ a ) @ ( nand @ b @ a ) ) = ( a ))).
% 0.59/1.01 thf(zf_stmt_0, negated_conjecture,
% 0.59/1.01 (( nand @ ( nand @ a @ a ) @ ( nand @ b @ a ) ) != ( a )),
% 0.59/1.01 inference('cnf.neg', [status(esa)], [prove_meredith_2_basis_1])).
% 0.59/1.01 thf(zip_derived_cl1, plain,
% 0.59/1.01 (((nand @ (nand @ a @ a) @ (nand @ b @ a)) != (a))),
% 0.59/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/1.01 thf(sh_1, axiom,
% 0.59/1.01 (( nand @
% 0.59/1.01 ( nand @ A @ ( nand @ ( nand @ B @ A ) @ A ) ) @
% 0.59/1.01 ( nand @ B @ ( nand @ C @ A ) ) ) =
% 0.59/1.01 ( B ))).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl3, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 ((nand @
% 0.59/1.01 (nand @ (nand @ X0 @ (nand @ X3 @ X2)) @
% 0.59/1.01 (nand @ (nand @ X1 @ (nand @ X0 @ (nand @ X3 @ X2))) @
% 0.59/1.01 (nand @ X0 @ (nand @ X3 @ X2)))) @
% 0.59/1.01 (nand @ X1 @ X0)) = (X1))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl21, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 ((nand @
% 0.59/1.01 (nand @
% 0.59/1.01 (nand @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X3 @ X2))) @
% 0.59/1.01 (nand @
% 0.59/1.01 (nand @ X1 @
% 0.59/1.01 (nand @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X3 @ X2)))) @
% 0.59/1.01 X0)) @
% 0.59/1.01 (nand @ X1 @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)))) = (
% 0.59/1.01 X1))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl35, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X0 @ (nand @ (nand @ X1 @ X0) @ X0)) @
% 0.59/1.01 (nand @ X1 @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)))) = (
% 0.59/1.01 X1))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl2, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/1.01 ((nand @
% 0.59/1.01 (nand @ (nand @ X0 @ (nand @ X2 @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X0 @ (nand @ X2 @ X1)))) @
% 0.59/1.01 (nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X3 @ (nand @ X0 @ (nand @ X2 @ X1)))))
% 0.59/1.01 = (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl120, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 ((nand @
% 0.59/1.01 (nand @ (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))) @
% 0.59/1.01 X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl2])).
% 0.59/1.01 thf(zip_derived_cl35, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X0 @ (nand @ (nand @ X1 @ X0) @ X0)) @
% 0.59/1.01 (nand @ X1 @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)))) = (
% 0.59/1.01 X1))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl154, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 ((nand @ X0 @ X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl35])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl208, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((nand @ (nand @ X0 @ X0) @ (nand @ X0 @ (nand @ X1 @ X0))) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl35, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X0 @ (nand @ (nand @ X1 @ X0) @ X0)) @
% 0.59/1.01 (nand @ X1 @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)))) = (
% 0.59/1.01 X1))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl302, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ (nand @ X0 @ X0) @ X1) @ X1)) @
% 0.59/1.01 X0) = (nand @ X0 @ X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl35])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl4, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @
% 0.59/1.01 (nand @ (nand @ X2 @ X1) @
% 0.59/1.01 (nand @
% 0.59/1.01 (nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X2 @ X1)) @
% 0.59/1.01 (nand @ X2 @ X1))) @
% 0.59/1.01 X0) = (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl514, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((nand @
% 0.59/1.01 (nand @ (nand @ X1 @ X0) @
% 0.59/1.01 (nand @ (nand @ (nand @ X1 @ X0) @ (nand @ X1 @ X0)) @
% 0.59/1.01 (nand @ X1 @ X0))) @
% 0.59/1.01 (nand @ (nand @ X1 @ X0) @ (nand @ X1 @ X0)))
% 0.59/1.01 = (nand @ X0 @
% 0.59/1.01 (nand @
% 0.59/1.01 (nand @ (nand @ (nand @ X1 @ X0) @ (nand @ X1 @ X0)) @ X0) @ X0)))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl302, zip_derived_cl4])).
% 0.59/1.01 thf(zip_derived_cl154, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 ((nand @ X0 @ X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl35])).
% 0.59/1.01 thf(zip_derived_cl154, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 ((nand @ X0 @ X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl35])).
% 0.59/1.01 thf(zip_derived_cl0, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/1.01 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 0.59/1.01 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 0.59/1.01 inference('cnf', [status(esa)], [sh_1])).
% 0.59/1.01 thf(zip_derived_cl210, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 ((nand @ (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)) @
% 0.59/1.01 (nand @ X0 @ X0)) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl154, plain,
% 0.59/1.01 (![X0 : $i]:
% 0.59/1.01 ((nand @ X0 @ X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl35])).
% 0.59/1.01 thf(zip_derived_cl232, plain,
% 0.59/1.01 (![X0 : $i]: ((nand @ (nand @ X0 @ X0) @ (nand @ X0 @ X0)) = (X0))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl154])).
% 0.59/1.01 thf(zip_derived_cl558, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((nand @ X1 @ X0)
% 0.59/1.01 = (nand @ X0 @
% 0.59/1.01 (nand @
% 0.59/1.01 (nand @ (nand @ (nand @ X1 @ X0) @ (nand @ X1 @ X0)) @ X0) @ X0)))),
% 0.59/1.01 inference('demod', [status(thm)],
% 0.59/1.01 [zip_derived_cl514, zip_derived_cl154, zip_derived_cl232])).
% 0.59/1.01 thf(zip_derived_cl208, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((nand @ (nand @ X0 @ X0) @ (nand @ X0 @ (nand @ X1 @ X0))) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl0])).
% 0.59/1.01 thf(zip_derived_cl915, plain,
% 0.59/1.01 (![X0 : $i, X1 : $i]:
% 0.59/1.01 ((nand @ (nand @ X0 @ X0) @ (nand @ X1 @ X0)) = (X0))),
% 0.59/1.01 inference('sup+', [status(thm)], [zip_derived_cl558, zip_derived_cl208])).
% 0.59/1.01 thf(zip_derived_cl1007, plain, (((a) != (a))),
% 0.59/1.01 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl915])).
% 0.59/1.01 thf(zip_derived_cl1008, plain, ($false),
% 0.59/1.01 inference('simplify', [status(thm)], [zip_derived_cl1007])).
% 0.59/1.01
% 0.59/1.01 % SZS output end Refutation
% 0.59/1.01
% 0.59/1.01
% 0.59/1.01 % Terminating...
% 0.64/1.07 % Runner terminated.
% 1.92/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------