TSTP Solution File: GRP190-2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP190-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EElmudfb9U true
% Computer : n008.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 01:50:39 EDT 2023
% Result : Unsatisfiable 19.10s 3.37s
% Output : Refutation 19.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : GRP190-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.EElmudfb9U true
% 0.16/0.37 % Computer : n008.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 21:58:02 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.38 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 19.10/3.37 % Solved by fo/fo5.sh.
% 19.10/3.37 % done 1533 iterations in 2.556s
% 19.10/3.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 19.10/3.37 % SZS output start Refutation
% 19.10/3.37 thf(b_type, type, b: $i).
% 19.10/3.37 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 19.10/3.37 thf(identity_type, type, identity: $i).
% 19.10/3.37 thf(multiply_type, type, multiply: $i > $i > $i).
% 19.10/3.37 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 19.10/3.37 thf(inverse_type, type, inverse: $i > $i).
% 19.10/3.37 thf(a_type, type, a: $i).
% 19.10/3.37 thf(p39c_1, axiom, (( least_upper_bound @ a @ b ) = ( a ))).
% 19.10/3.37 thf(zip_derived_cl15, plain, (((least_upper_bound @ a @ b) = (a))),
% 19.10/3.37 inference('cnf', [status(esa)], [p39c_1])).
% 19.10/3.37 thf(symmetry_of_lub, axiom,
% 19.10/3.37 (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 19.10/3.37 thf(zip_derived_cl4, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 19.10/3.37 inference('cnf', [status(esa)], [symmetry_of_lub])).
% 19.10/3.37 thf(zip_derived_cl50, plain, (((a) = (least_upper_bound @ b @ a))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 19.10/3.37 thf(glb_absorbtion, axiom,
% 19.10/3.37 (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 19.10/3.37 thf(zip_derived_cl10, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 19.10/3.37 inference('cnf', [status(esa)], [glb_absorbtion])).
% 19.10/3.37 thf(zip_derived_cl105, plain, (((greatest_lower_bound @ b @ a) = (b))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl10])).
% 19.10/3.37 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 19.10/3.37 thf(zip_derived_cl1, plain,
% 19.10/3.37 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.10/3.37 inference('cnf', [status(esa)], [left_inverse])).
% 19.10/3.37 thf(zip_derived_cl1, plain,
% 19.10/3.37 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.10/3.37 inference('cnf', [status(esa)], [left_inverse])).
% 19.10/3.37 thf(associativity, axiom,
% 19.10/3.37 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 19.10/3.37 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 19.10/3.37 thf(zip_derived_cl2, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.10/3.37 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 19.10/3.37 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 19.10/3.37 inference('cnf', [status(esa)], [associativity])).
% 19.10/3.37 thf(zip_derived_cl25, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((multiply @ identity @ X0)
% 19.10/3.37 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 19.10/3.37 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 19.10/3.37 thf(zip_derived_cl0, plain,
% 19.10/3.37 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.10/3.37 inference('cnf', [status(esa)], [left_identity])).
% 19.10/3.37 thf(zip_derived_cl27, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.10/3.37 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 19.10/3.37 thf(zip_derived_cl33, plain,
% 19.10/3.37 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 19.10/3.37 thf(zip_derived_cl27, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.10/3.37 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 19.10/3.37 thf(zip_derived_cl27, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.10/3.37 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 19.10/3.37 thf(zip_derived_cl30, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl27])).
% 19.10/3.37 thf(zip_derived_cl258, plain,
% 19.10/3.37 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 19.10/3.37 thf(zip_derived_cl33, plain,
% 19.10/3.37 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 19.10/3.37 thf(zip_derived_cl283, plain,
% 19.10/3.37 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl33])).
% 19.10/3.37 thf(zip_derived_cl1, plain,
% 19.10/3.37 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.10/3.37 inference('cnf', [status(esa)], [left_inverse])).
% 19.10/3.37 thf(zip_derived_cl292, plain,
% 19.10/3.37 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl1])).
% 19.10/3.37 thf(monotony_glb2, axiom,
% 19.10/3.37 (( multiply @ ( greatest_lower_bound @ Y @ Z ) @ X ) =
% 19.10/3.37 ( greatest_lower_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 19.10/3.37 thf(zip_derived_cl14, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.10/3.37 ((multiply @ (greatest_lower_bound @ X0 @ X2) @ X1)
% 19.10/3.37 = (greatest_lower_bound @ (multiply @ X0 @ X1) @
% 19.10/3.37 (multiply @ X2 @ X1)))),
% 19.10/3.37 inference('cnf', [status(esa)], [monotony_glb2])).
% 19.10/3.37 thf(zip_derived_cl301, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((multiply @ (greatest_lower_bound @ X0 @ X1) @ (inverse @ X0))
% 19.10/3.37 = (greatest_lower_bound @ identity @
% 19.10/3.37 (multiply @ X1 @ (inverse @ X0))))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl14])).
% 19.10/3.37 thf(zip_derived_cl16295, plain,
% 19.10/3.37 (((multiply @ b @ (inverse @ b))
% 19.10/3.37 = (greatest_lower_bound @ identity @ (multiply @ a @ (inverse @ b))))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl301])).
% 19.10/3.37 thf(zip_derived_cl292, plain,
% 19.10/3.37 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 19.10/3.37 inference('sup+', [status(thm)], [zip_derived_cl283, zip_derived_cl1])).
% 19.10/3.37 thf(zip_derived_cl16347, plain,
% 19.10/3.37 (((identity)
% 19.10/3.37 = (greatest_lower_bound @ identity @ (multiply @ a @ (inverse @ b))))),
% 19.10/3.37 inference('demod', [status(thm)],
% 19.10/3.37 [zip_derived_cl16295, zip_derived_cl292])).
% 19.10/3.37 thf(zip_derived_cl27, plain,
% 19.10/3.37 (![X0 : $i, X1 : $i]:
% 19.10/3.37 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.10/3.37 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 19.10/3.37 thf(monotony_glb1, axiom,
% 19.10/3.37 (( multiply @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 19.10/3.38 ( greatest_lower_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 19.10/3.38 thf(zip_derived_cl12, plain,
% 19.10/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.10/3.38 ((multiply @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 19.10/3.38 = (greatest_lower_bound @ (multiply @ X0 @ X1) @
% 19.10/3.38 (multiply @ X0 @ X2)))),
% 19.10/3.38 inference('cnf', [status(esa)], [monotony_glb1])).
% 19.10/3.38 thf(zip_derived_cl89, plain,
% 19.10/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.10/3.38 ((multiply @ (inverse @ X1) @
% 19.10/3.38 (greatest_lower_bound @ X2 @ (multiply @ X1 @ X0)))
% 19.10/3.38 = (greatest_lower_bound @ (multiply @ (inverse @ X1) @ X2) @ X0))),
% 19.10/3.38 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl12])).
% 19.10/3.38 thf(zip_derived_cl16414, plain,
% 19.10/3.38 (((multiply @ (inverse @ a) @ identity)
% 19.10/3.38 = (greatest_lower_bound @ (multiply @ (inverse @ a) @ identity) @
% 19.10/3.38 (inverse @ b)))),
% 19.10/3.38 inference('sup+', [status(thm)], [zip_derived_cl16347, zip_derived_cl89])).
% 19.10/3.38 thf(zip_derived_cl258, plain,
% 19.10/3.38 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.10/3.38 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 19.10/3.38 thf(zip_derived_cl258, plain,
% 19.10/3.38 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.10/3.38 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl30])).
% 19.10/3.38 thf(symmetry_of_glb, axiom,
% 19.10/3.38 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 19.10/3.38 thf(zip_derived_cl3, plain,
% 19.10/3.38 (![X0 : $i, X1 : $i]:
% 19.10/3.38 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 19.10/3.38 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 19.10/3.38 thf(zip_derived_cl16433, plain,
% 19.10/3.38 (((inverse @ a) = (greatest_lower_bound @ (inverse @ b) @ (inverse @ a)))),
% 19.10/3.38 inference('demod', [status(thm)],
% 19.10/3.38 [zip_derived_cl16414, zip_derived_cl258, zip_derived_cl258,
% 19.10/3.38 zip_derived_cl3])).
% 19.10/3.38 thf(prove_p39c, conjecture,
% 19.10/3.38 (( greatest_lower_bound @ ( inverse @ a ) @ ( inverse @ b ) ) =
% 19.10/3.38 ( inverse @ a ))).
% 19.10/3.38 thf(zf_stmt_0, negated_conjecture,
% 19.10/3.38 (( greatest_lower_bound @ ( inverse @ a ) @ ( inverse @ b ) ) !=
% 19.10/3.38 ( inverse @ a )),
% 19.10/3.38 inference('cnf.neg', [status(esa)], [prove_p39c])).
% 19.10/3.38 thf(zip_derived_cl16, plain,
% 19.10/3.38 (((greatest_lower_bound @ (inverse @ a) @ (inverse @ b)) != (inverse @ a))),
% 19.10/3.38 inference('cnf', [status(esa)], [zf_stmt_0])).
% 19.10/3.38 thf(zip_derived_cl3, plain,
% 19.10/3.38 (![X0 : $i, X1 : $i]:
% 19.10/3.38 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 19.10/3.38 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 19.10/3.38 thf(zip_derived_cl42, plain,
% 19.10/3.38 (((greatest_lower_bound @ (inverse @ b) @ (inverse @ a)) != (inverse @ a))),
% 19.10/3.38 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl3])).
% 19.10/3.38 thf(zip_derived_cl16434, plain, ($false),
% 19.10/3.38 inference('simplify_reflect-', [status(thm)],
% 19.10/3.38 [zip_derived_cl16433, zip_derived_cl42])).
% 19.10/3.38
% 19.10/3.38 % SZS output end Refutation
% 19.10/3.38
% 19.10/3.38
% 19.10/3.38 % Terminating...
% 19.51/3.47 % Runner terminated.
% 19.51/3.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------