TSTP Solution File: GRP186-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP186-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TaodG9g9mH true
% Computer : n003.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 Aug 31 01:50:37 EDT 2023
% Result : Unsatisfiable 13.86s 2.61s
% Output : Refutation 13.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP186-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TaodG9g9mH true
% 0.14/0.33 % Computer : n003.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 28 19:42:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.86/2.61 % Solved by fo/fo6_bce.sh.
% 13.86/2.61 % BCE start: 16
% 13.86/2.61 % BCE eliminated: 0
% 13.86/2.61 % PE start: 16
% 13.86/2.61 logic: eq
% 13.86/2.61 % PE eliminated: 0
% 13.86/2.61 % done 471 iterations in 1.907s
% 13.86/2.61 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.86/2.61 % SZS output start Refutation
% 13.86/2.61 thf(b_type, type, b: $i).
% 13.86/2.61 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 13.86/2.61 thf(identity_type, type, identity: $i).
% 13.86/2.61 thf(multiply_type, type, multiply: $i > $i > $i).
% 13.86/2.61 thf(inverse_type, type, inverse: $i > $i).
% 13.86/2.61 thf(a_type, type, a: $i).
% 13.86/2.61 thf(prove_p23x, conjecture,
% 13.86/2.61 (( least_upper_bound @ ( multiply @ a @ b ) @ identity ) =
% 13.86/2.61 ( multiply @ a @ ( least_upper_bound @ ( inverse @ a ) @ b ) ))).
% 13.86/2.61 thf(zf_stmt_0, negated_conjecture,
% 13.86/2.61 (( least_upper_bound @ ( multiply @ a @ b ) @ identity ) !=
% 13.86/2.61 ( multiply @ a @ ( least_upper_bound @ ( inverse @ a ) @ b ) )),
% 13.86/2.61 inference('cnf.neg', [status(esa)], [prove_p23x])).
% 13.86/2.61 thf(zip_derived_cl15, plain,
% 13.86/2.61 (((least_upper_bound @ (multiply @ a @ b) @ identity)
% 13.86/2.61 != (multiply @ a @ (least_upper_bound @ (inverse @ a) @ b)))),
% 13.86/2.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.86/2.61 thf(symmetry_of_lub, axiom,
% 13.86/2.61 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 13.86/2.61 thf(zip_derived_cl4, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i]:
% 13.86/2.61 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 13.86/2.61 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 13.86/2.61 thf(zip_derived_cl4, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i]:
% 13.86/2.61 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 13.86/2.61 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 13.86/2.61 thf(zip_derived_cl16, plain,
% 13.86/2.61 (((least_upper_bound @ identity @ (multiply @ a @ b))
% 13.86/2.61 != (multiply @ a @ (least_upper_bound @ b @ (inverse @ a))))),
% 13.86/2.61 inference('demod', [status(thm)],
% 13.86/2.61 [zip_derived_cl15, zip_derived_cl4, zip_derived_cl4])).
% 13.86/2.61 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 13.86/2.61 thf(zip_derived_cl1, plain,
% 13.86/2.61 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 13.86/2.61 inference('cnf', [status(esa)], [left_inverse])).
% 13.86/2.61 thf(zip_derived_cl1, plain,
% 13.86/2.61 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 13.86/2.61 inference('cnf', [status(esa)], [left_inverse])).
% 13.86/2.61 thf(associativity, axiom,
% 13.86/2.61 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 13.86/2.61 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 13.86/2.61 thf(zip_derived_cl2, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.86/2.61 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 13.86/2.61 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 13.86/2.61 inference('cnf', [status(esa)], [associativity])).
% 13.86/2.61 thf(zip_derived_cl24, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i]:
% 13.86/2.61 ((multiply @ identity @ X0)
% 13.86/2.61 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 13.86/2.61 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 13.86/2.61 thf(zip_derived_cl0, plain,
% 13.86/2.61 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 13.86/2.61 inference('cnf', [status(esa)], [left_identity])).
% 13.86/2.61 thf(zip_derived_cl26, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i]:
% 13.86/2.61 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.86/2.61 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 13.86/2.61 thf(zip_derived_cl46, plain,
% 13.86/2.61 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl26])).
% 13.86/2.61 thf(zip_derived_cl26, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i]:
% 13.86/2.61 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.86/2.61 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 13.86/2.61 thf(zip_derived_cl53, plain,
% 13.86/2.61 (![X0 : $i]:
% 13.86/2.61 ((identity) = (multiply @ (inverse @ (inverse @ (inverse @ X0))) @ X0))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl26])).
% 13.86/2.61 thf(zip_derived_cl26, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i]:
% 13.86/2.61 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 13.86/2.61 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 13.86/2.61 thf(zip_derived_cl184, plain,
% 13.86/2.61 (![X0 : $i]:
% 13.86/2.61 ((X0)
% 13.86/2.61 = (multiply @ (inverse @ (inverse @ (inverse @ (inverse @ X0)))) @
% 13.86/2.61 identity))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl26])).
% 13.86/2.61 thf(zip_derived_cl46, plain,
% 13.86/2.61 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl26])).
% 13.86/2.61 thf(zip_derived_cl225, plain,
% 13.86/2.61 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl46])).
% 13.86/2.61 thf(zip_derived_cl1, plain,
% 13.86/2.61 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 13.86/2.61 inference('cnf', [status(esa)], [left_inverse])).
% 13.86/2.61 thf(zip_derived_cl232, plain,
% 13.86/2.61 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl225, zip_derived_cl1])).
% 13.86/2.61 thf(monotony_lub1, axiom,
% 13.86/2.61 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 13.86/2.61 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 13.86/2.61 thf(zip_derived_cl11, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.86/2.61 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 13.86/2.61 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 13.86/2.61 inference('cnf', [status(esa)], [monotony_lub1])).
% 13.86/2.61 thf(zip_derived_cl4, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i]:
% 13.86/2.61 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 13.86/2.61 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 13.86/2.61 thf(zip_derived_cl79, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.86/2.61 ((least_upper_bound @ (multiply @ X2 @ X0) @ (multiply @ X2 @ X1))
% 13.86/2.61 = (multiply @ X2 @ (least_upper_bound @ X1 @ X0)))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 13.86/2.61 thf(zip_derived_cl278, plain,
% 13.86/2.61 (![X0 : $i, X1 : $i]:
% 13.86/2.61 ((least_upper_bound @ identity @ (multiply @ X0 @ X1))
% 13.86/2.61 = (multiply @ X0 @ (least_upper_bound @ X1 @ (inverse @ X0))))),
% 13.86/2.61 inference('s_sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl79])).
% 13.86/2.61 thf(zip_derived_cl9819, plain,
% 13.86/2.61 (((least_upper_bound @ identity @ (multiply @ a @ b))
% 13.86/2.61 != (least_upper_bound @ identity @ (multiply @ a @ b)))),
% 13.86/2.61 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl278])).
% 13.86/2.61 thf(zip_derived_cl9820, plain, ($false),
% 13.86/2.61 inference('simplify', [status(thm)], [zip_derived_cl9819])).
% 13.86/2.61
% 13.86/2.61 % SZS output end Refutation
% 13.86/2.61
% 13.86/2.61
% 13.86/2.61 % Terminating...
% 14.42/2.66 % Runner terminated.
% 14.42/2.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------