TSTP Solution File: GRP172-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP172-2 : 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.Bf4Xf7PPdS true
% Computer : n014.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 01:50:30 EDT 2023
% Result : Unsatisfiable 2.86s 1.07s
% Output : Refutation 2.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP172-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bf4Xf7PPdS true
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Mon Aug 28 22:37:45 EDT 2023
% 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 2.86/1.07 % Solved by fo/fo5.sh.
% 2.86/1.07 % done 336 iterations in 0.289s
% 2.86/1.07 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.86/1.07 % SZS output start Refutation
% 2.86/1.07 thf(b_type, type, b: $i).
% 2.86/1.07 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 2.86/1.07 thf(identity_type, type, identity: $i).
% 2.86/1.07 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.86/1.07 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 2.86/1.07 thf(inverse_type, type, inverse: $i > $i).
% 2.86/1.07 thf(a_type, type, a: $i).
% 2.86/1.07 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 2.86/1.07 thf(zip_derived_cl1, plain,
% 2.86/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.86/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 2.86/1.07 thf(p04d_1, axiom, (( greatest_lower_bound @ identity @ a ) = ( identity ))).
% 2.86/1.07 thf(zip_derived_cl15, plain,
% 2.86/1.07 (((greatest_lower_bound @ identity @ a) = (identity))),
% 2.86/1.07 inference('cnf', [status(esa)], [p04d_1])).
% 2.86/1.07 thf(symmetry_of_glb, axiom,
% 2.86/1.07 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 2.86/1.07 thf(zip_derived_cl3, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 2.86/1.07 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 2.86/1.07 thf(lub_absorbtion, axiom,
% 2.86/1.07 (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 2.86/1.07 thf(zip_derived_cl9, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 2.86/1.07 inference('cnf', [status(esa)], [lub_absorbtion])).
% 2.86/1.07 thf(zip_derived_cl52, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X1 @ X0)) = (X0))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 2.86/1.07 thf(zip_derived_cl202, plain, (((least_upper_bound @ a @ identity) = (a))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl52])).
% 2.86/1.07 thf(symmetry_of_lub, axiom,
% 2.86/1.07 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 2.86/1.07 thf(zip_derived_cl4, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 2.86/1.07 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 2.86/1.07 thf(zip_derived_cl205, plain, (((least_upper_bound @ identity @ a) = (a))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl202, zip_derived_cl4])).
% 2.86/1.07 thf(monotony_lub1, axiom,
% 2.86/1.07 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 2.86/1.07 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 2.86/1.07 thf(zip_derived_cl11, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.86/1.07 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 2.86/1.07 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 2.86/1.07 inference('cnf', [status(esa)], [monotony_lub1])).
% 2.86/1.07 thf(glb_absorbtion, axiom,
% 2.86/1.07 (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 2.86/1.07 thf(zip_derived_cl10, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 2.86/1.07 inference('cnf', [status(esa)], [glb_absorbtion])).
% 2.86/1.07 thf(zip_derived_cl71, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.86/1.07 ((greatest_lower_bound @ (multiply @ X2 @ X1) @
% 2.86/1.07 (multiply @ X2 @ (least_upper_bound @ X1 @ X0)))
% 2.86/1.07 = (multiply @ X2 @ X1))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 2.86/1.07 thf(zip_derived_cl1856, plain,
% 2.86/1.07 (![X0 : $i]:
% 2.86/1.07 ((greatest_lower_bound @ (multiply @ X0 @ identity) @
% 2.86/1.07 (multiply @ X0 @ a)) = (multiply @ X0 @ identity))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl71])).
% 2.86/1.07 thf(zip_derived_cl1, plain,
% 2.86/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.86/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 2.86/1.07 thf(zip_derived_cl1, plain,
% 2.86/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.86/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 2.86/1.07 thf(associativity, axiom,
% 2.86/1.07 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 2.86/1.07 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 2.86/1.07 thf(zip_derived_cl2, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.86/1.07 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.86/1.07 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.86/1.07 inference('cnf', [status(esa)], [associativity])).
% 2.86/1.07 thf(zip_derived_cl24, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((multiply @ identity @ X0)
% 2.86/1.07 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 2.86/1.07 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 2.86/1.07 thf(zip_derived_cl0, plain,
% 2.86/1.07 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.86/1.07 inference('cnf', [status(esa)], [left_identity])).
% 2.86/1.07 thf(zip_derived_cl26, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.86/1.07 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 2.86/1.07 thf(zip_derived_cl32, plain,
% 2.86/1.07 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl26])).
% 2.86/1.07 thf(zip_derived_cl26, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.86/1.07 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 2.86/1.07 thf(zip_derived_cl26, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.86/1.07 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 2.86/1.07 thf(zip_derived_cl29, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl26])).
% 2.86/1.07 thf(zip_derived_cl222, plain,
% 2.86/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl29])).
% 2.86/1.07 thf(zip_derived_cl222, plain,
% 2.86/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl29])).
% 2.86/1.07 thf(zip_derived_cl1894, plain,
% 2.86/1.07 (![X0 : $i]: ((greatest_lower_bound @ X0 @ (multiply @ X0 @ a)) = (X0))),
% 2.86/1.07 inference('demod', [status(thm)],
% 2.86/1.07 [zip_derived_cl1856, zip_derived_cl222, zip_derived_cl222])).
% 2.86/1.07 thf(zip_derived_cl1992, plain,
% 2.86/1.07 (((greatest_lower_bound @ (inverse @ a) @ identity) = (inverse @ a))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl1894])).
% 2.86/1.07 thf(zip_derived_cl52, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X1 @ X0)) = (X0))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 2.86/1.07 thf(p04d_2, axiom, (( greatest_lower_bound @ identity @ b ) = ( identity ))).
% 2.86/1.07 thf(zip_derived_cl16, plain,
% 2.86/1.07 (((greatest_lower_bound @ identity @ b) = (identity))),
% 2.86/1.07 inference('cnf', [status(esa)], [p04d_2])).
% 2.86/1.07 thf(zip_derived_cl52, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X1 @ X0)) = (X0))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 2.86/1.07 thf(zip_derived_cl203, plain, (((least_upper_bound @ b @ identity) = (b))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl52])).
% 2.86/1.07 thf(associativity_of_lub, axiom,
% 2.86/1.07 (( least_upper_bound @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 2.86/1.07 ( least_upper_bound @ ( least_upper_bound @ X @ Y ) @ Z ))).
% 2.86/1.07 thf(zip_derived_cl6, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.86/1.07 ((least_upper_bound @ X0 @ (least_upper_bound @ X1 @ X2))
% 2.86/1.07 = (least_upper_bound @ (least_upper_bound @ X0 @ X1) @ X2))),
% 2.86/1.07 inference('cnf', [status(esa)], [associativity_of_lub])).
% 2.86/1.07 thf(zip_derived_cl235, plain,
% 2.86/1.07 (![X0 : $i]:
% 2.86/1.07 ((least_upper_bound @ b @ (least_upper_bound @ identity @ X0))
% 2.86/1.07 = (least_upper_bound @ b @ X0))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl6])).
% 2.86/1.07 thf(zip_derived_cl377, plain,
% 2.86/1.07 (![X0 : $i]:
% 2.86/1.07 ((least_upper_bound @ b @ identity)
% 2.86/1.07 = (least_upper_bound @ b @ (greatest_lower_bound @ X0 @ identity)))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl235])).
% 2.86/1.07 thf(zip_derived_cl203, plain, (((least_upper_bound @ b @ identity) = (b))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl52])).
% 2.86/1.07 thf(zip_derived_cl382, plain,
% 2.86/1.07 (![X0 : $i]:
% 2.86/1.07 ((b)
% 2.86/1.07 = (least_upper_bound @ b @ (greatest_lower_bound @ X0 @ identity)))),
% 2.86/1.07 inference('demod', [status(thm)], [zip_derived_cl377, zip_derived_cl203])).
% 2.86/1.07 thf(zip_derived_cl2003, plain,
% 2.86/1.07 (((b) = (least_upper_bound @ b @ (inverse @ a)))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl1992, zip_derived_cl382])).
% 2.86/1.07 thf(zip_derived_cl1, plain,
% 2.86/1.07 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.86/1.07 inference('cnf', [status(esa)], [left_inverse])).
% 2.86/1.07 thf(zip_derived_cl11, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.86/1.07 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 2.86/1.07 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 2.86/1.07 inference('cnf', [status(esa)], [monotony_lub1])).
% 2.86/1.07 thf(zip_derived_cl76, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((multiply @ (inverse @ X0) @ (least_upper_bound @ X1 @ X0))
% 2.86/1.07 = (least_upper_bound @ (multiply @ (inverse @ X0) @ X1) @ identity))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl11])).
% 2.86/1.07 thf(zip_derived_cl2204, plain,
% 2.86/1.07 (((multiply @ (inverse @ (inverse @ a)) @ b)
% 2.86/1.07 = (least_upper_bound @ (multiply @ (inverse @ (inverse @ a)) @ b) @
% 2.86/1.07 identity))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl2003, zip_derived_cl76])).
% 2.86/1.07 thf(zip_derived_cl222, plain,
% 2.86/1.07 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl29])).
% 2.86/1.07 thf(zip_derived_cl32, plain,
% 2.86/1.07 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl26])).
% 2.86/1.07 thf(zip_derived_cl258, plain,
% 2.86/1.07 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl32])).
% 2.86/1.07 thf(zip_derived_cl258, plain,
% 2.86/1.07 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.86/1.07 inference('sup+', [status(thm)], [zip_derived_cl222, zip_derived_cl32])).
% 2.86/1.07 thf(zip_derived_cl4, plain,
% 2.86/1.07 (![X0 : $i, X1 : $i]:
% 2.86/1.07 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 2.86/1.07 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 2.86/1.07 thf(zip_derived_cl2213, plain,
% 2.86/1.07 (((multiply @ a @ b)
% 2.86/1.07 = (least_upper_bound @ identity @ (multiply @ a @ b)))),
% 2.86/1.07 inference('demod', [status(thm)],
% 2.86/1.07 [zip_derived_cl2204, zip_derived_cl258, zip_derived_cl258,
% 2.86/1.07 zip_derived_cl4])).
% 2.86/1.07 thf(prove_p04d, conjecture,
% 2.86/1.07 (( least_upper_bound @ identity @ ( multiply @ a @ b ) ) =
% 2.86/1.07 ( multiply @ a @ b ))).
% 2.86/1.07 thf(zf_stmt_0, negated_conjecture,
% 2.86/1.07 (( least_upper_bound @ identity @ ( multiply @ a @ b ) ) !=
% 2.86/1.07 ( multiply @ a @ b )),
% 2.86/1.07 inference('cnf.neg', [status(esa)], [prove_p04d])).
% 2.86/1.07 thf(zip_derived_cl17, plain,
% 2.86/1.07 (((least_upper_bound @ identity @ (multiply @ a @ b))
% 2.86/1.07 != (multiply @ a @ b))),
% 2.86/1.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.86/1.07 thf(zip_derived_cl2214, plain, ($false),
% 2.86/1.07 inference('simplify_reflect-', [status(thm)],
% 2.86/1.07 [zip_derived_cl2213, zip_derived_cl17])).
% 2.86/1.07
% 2.86/1.07 % SZS output end Refutation
% 2.86/1.07
% 2.86/1.07
% 2.86/1.07 % Terminating...
% 2.86/1.14 % Runner terminated.
% 2.86/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------