TSTP Solution File: BOO075-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : BOO075-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.niYpi8pLHq true
% Computer : n007.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 : Wed Aug 30 18:13:31 EDT 2023
% Result : Unsatisfiable 1.27s 0.95s
% Output : Refutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO075-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.niYpi8pLHq true
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 08:07:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.72/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.95 % Solved by fo/fo3_bce.sh.
% 1.27/0.95 % BCE start: 2
% 1.27/0.95 % BCE eliminated: 0
% 1.27/0.95 % PE start: 2
% 1.27/0.95 logic: eq
% 1.27/0.95 % PE eliminated: 0
% 1.27/0.95 % done 39 iterations in 0.181s
% 1.27/0.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.95 % SZS output start Refutation
% 1.27/0.95 thf(b_type, type, b: $i).
% 1.27/0.95 thf(a_type, type, a: $i).
% 1.27/0.95 thf(nand_type, type, nand: $i > $i > $i).
% 1.27/0.95 thf(prove_meredith_2_basis_1, conjecture,
% 1.27/0.95 (( nand @ ( nand @ a @ a ) @ ( nand @ b @ a ) ) = ( a ))).
% 1.27/0.95 thf(zf_stmt_0, negated_conjecture,
% 1.27/0.95 (( nand @ ( nand @ a @ a ) @ ( nand @ b @ a ) ) != ( a )),
% 1.27/0.95 inference('cnf.neg', [status(esa)], [prove_meredith_2_basis_1])).
% 1.27/0.95 thf(zip_derived_cl1, plain,
% 1.27/0.95 (((nand @ (nand @ a @ a) @ (nand @ b @ a)) != (a))),
% 1.27/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.27/0.95 thf(sh_1, axiom,
% 1.27/0.95 (( nand @
% 1.27/0.95 ( nand @ A @ ( nand @ ( nand @ B @ A ) @ A ) ) @
% 1.27/0.95 ( nand @ B @ ( nand @ C @ A ) ) ) =
% 1.27/0.95 ( B ))).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl3, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.27/0.95 ((nand @
% 1.27/0.95 (nand @ (nand @ X0 @ (nand @ X3 @ X2)) @
% 1.27/0.95 (nand @ (nand @ X1 @ (nand @ X0 @ (nand @ X3 @ X2))) @
% 1.27/0.95 (nand @ X0 @ (nand @ X3 @ X2)))) @
% 1.27/0.95 (nand @ X1 @ X0)) = (X1))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl21, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.27/0.95 ((nand @
% 1.27/0.95 (nand @
% 1.27/0.95 (nand @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X3 @ X2))) @
% 1.27/0.95 (nand @
% 1.27/0.95 (nand @ X1 @
% 1.27/0.95 (nand @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X3 @ X2)))) @
% 1.27/0.95 X0)) @
% 1.27/0.95 (nand @ X1 @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)))) = (
% 1.27/0.95 X1))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl35, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X0 @ (nand @ (nand @ X1 @ X0) @ X0)) @
% 1.27/0.95 (nand @ X1 @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)))) = (
% 1.27/0.95 X1))),
% 1.27/0.95 inference('demod', [status(thm)],
% 1.27/0.95 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl2, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.27/0.95 ((nand @
% 1.27/0.95 (nand @ (nand @ X0 @ (nand @ X2 @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X0 @ (nand @ X2 @ X1)))) @
% 1.27/0.95 (nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X3 @ (nand @ X0 @ (nand @ X2 @ X1)))))
% 1.27/0.95 = (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl120, plain,
% 1.27/0.95 (![X0 : $i]:
% 1.27/0.95 ((nand @
% 1.27/0.95 (nand @ (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))) @
% 1.27/0.95 X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl2])).
% 1.27/0.95 thf(zip_derived_cl35, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X0 @ (nand @ (nand @ X1 @ X0) @ X0)) @
% 1.27/0.95 (nand @ X1 @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)))) = (
% 1.27/0.95 X1))),
% 1.27/0.95 inference('demod', [status(thm)],
% 1.27/0.95 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl154, plain,
% 1.27/0.95 (![X0 : $i]:
% 1.27/0.95 ((nand @ X0 @ X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 1.27/0.95 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl35])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl208, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i]:
% 1.27/0.95 ((nand @ (nand @ X0 @ X0) @ (nand @ X0 @ (nand @ X1 @ X0))) = (X0))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl35, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X0 @ (nand @ (nand @ X1 @ X0) @ X0)) @
% 1.27/0.95 (nand @ X1 @ (nand @ X2 @ (nand @ (nand @ X0 @ X2) @ X2)))) = (
% 1.27/0.95 X1))),
% 1.27/0.95 inference('demod', [status(thm)],
% 1.27/0.95 [zip_derived_cl21, zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl302, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ (nand @ X0 @ X0) @ X1) @ X1)) @
% 1.27/0.95 X0) = (nand @ X0 @ X0))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl35])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl4, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @
% 1.27/0.95 (nand @ (nand @ X2 @ X1) @
% 1.27/0.95 (nand @
% 1.27/0.95 (nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X2 @ X1)) @
% 1.27/0.95 (nand @ X2 @ X1))) @
% 1.27/0.95 X0) = (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl514, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i]:
% 1.27/0.95 ((nand @
% 1.27/0.95 (nand @ (nand @ X1 @ X0) @
% 1.27/0.95 (nand @ (nand @ (nand @ X1 @ X0) @ (nand @ X1 @ X0)) @
% 1.27/0.95 (nand @ X1 @ X0))) @
% 1.27/0.95 (nand @ (nand @ X1 @ X0) @ (nand @ X1 @ X0)))
% 1.27/0.95 = (nand @ X0 @
% 1.27/0.95 (nand @
% 1.27/0.95 (nand @ (nand @ (nand @ X1 @ X0) @ (nand @ X1 @ X0)) @ X0) @ X0)))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl302, zip_derived_cl4])).
% 1.27/0.95 thf(zip_derived_cl154, plain,
% 1.27/0.95 (![X0 : $i]:
% 1.27/0.95 ((nand @ X0 @ X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 1.27/0.95 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl35])).
% 1.27/0.95 thf(zip_derived_cl154, plain,
% 1.27/0.95 (![X0 : $i]:
% 1.27/0.95 ((nand @ X0 @ X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 1.27/0.95 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl35])).
% 1.27/0.95 thf(zip_derived_cl0, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/0.95 ((nand @ (nand @ X1 @ (nand @ (nand @ X0 @ X1) @ X1)) @
% 1.27/0.95 (nand @ X0 @ (nand @ X2 @ X1))) = (X0))),
% 1.27/0.95 inference('cnf', [status(esa)], [sh_1])).
% 1.27/0.95 thf(zip_derived_cl210, plain,
% 1.27/0.95 (![X0 : $i]:
% 1.27/0.95 ((nand @ (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)) @
% 1.27/0.95 (nand @ X0 @ X0)) = (X0))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl154, plain,
% 1.27/0.95 (![X0 : $i]:
% 1.27/0.95 ((nand @ X0 @ X0) = (nand @ X0 @ (nand @ (nand @ X0 @ X0) @ X0)))),
% 1.27/0.95 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl35])).
% 1.27/0.95 thf(zip_derived_cl232, plain,
% 1.27/0.95 (![X0 : $i]: ((nand @ (nand @ X0 @ X0) @ (nand @ X0 @ X0)) = (X0))),
% 1.27/0.95 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl154])).
% 1.27/0.95 thf(zip_derived_cl558, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i]:
% 1.27/0.95 ((nand @ X1 @ X0)
% 1.27/0.95 = (nand @ X0 @
% 1.27/0.95 (nand @
% 1.27/0.95 (nand @ (nand @ (nand @ X1 @ X0) @ (nand @ X1 @ X0)) @ X0) @ X0)))),
% 1.27/0.95 inference('demod', [status(thm)],
% 1.27/0.95 [zip_derived_cl514, zip_derived_cl154, zip_derived_cl232])).
% 1.27/0.95 thf(zip_derived_cl208, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i]:
% 1.27/0.95 ((nand @ (nand @ X0 @ X0) @ (nand @ X0 @ (nand @ X1 @ X0))) = (X0))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl0])).
% 1.27/0.95 thf(zip_derived_cl915, plain,
% 1.27/0.95 (![X0 : $i, X1 : $i]:
% 1.27/0.95 ((nand @ (nand @ X0 @ X0) @ (nand @ X1 @ X0)) = (X0))),
% 1.27/0.95 inference('sup+', [status(thm)], [zip_derived_cl558, zip_derived_cl208])).
% 1.27/0.95 thf(zip_derived_cl1007, plain, (((a) != (a))),
% 1.27/0.95 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl915])).
% 1.27/0.95 thf(zip_derived_cl1008, plain, ($false),
% 1.27/0.95 inference('simplify', [status(thm)], [zip_derived_cl1007])).
% 1.27/0.95
% 1.27/0.95 % SZS output end Refutation
% 1.27/0.95
% 1.27/0.95
% 1.27/0.95 % Terminating...
% 1.96/1.04 % Runner terminated.
% 1.96/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------