TSTP Solution File: GRP169-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP169-1 : 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.lVoPXg6gxE true
% Computer : n004.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 01:50:28 EDT 2023
% Result : Unsatisfiable 11.02s 2.31s
% Output : Refutation 11.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP169-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lVoPXg6gxE true
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 21:48:22 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.17/0.58 % Total configuration time : 435
% 0.17/0.58 % Estimated wc time : 1092
% 0.17/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.02/2.31 % Solved by fo/fo5.sh.
% 11.02/2.31 % done 713 iterations in 1.590s
% 11.02/2.31 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.02/2.31 % SZS output start Refutation
% 11.02/2.31 thf(b_type, type, b: $i).
% 11.02/2.31 thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 11.02/2.31 thf(identity_type, type, identity: $i).
% 11.02/2.31 thf(multiply_type, type, multiply: $i > $i > $i).
% 11.02/2.31 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 11.02/2.31 thf(inverse_type, type, inverse: $i > $i).
% 11.02/2.31 thf(a_type, type, a: $i).
% 11.02/2.31 thf(p02a_1, axiom,
% 11.02/2.31 (( least_upper_bound @ ( inverse @ a ) @ ( inverse @ b ) ) =
% 11.02/2.31 ( inverse @ b ))).
% 11.02/2.31 thf(zip_derived_cl15, plain,
% 11.02/2.31 (((least_upper_bound @ (inverse @ a) @ (inverse @ b)) = (inverse @ b))),
% 11.02/2.31 inference('cnf', [status(esa)], [p02a_1])).
% 11.02/2.31 thf(glb_absorbtion, axiom,
% 11.02/2.31 (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 11.02/2.31 thf(zip_derived_cl10, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 11.02/2.31 inference('cnf', [status(esa)], [glb_absorbtion])).
% 11.02/2.31 thf(zip_derived_cl21, plain,
% 11.02/2.31 (((greatest_lower_bound @ (inverse @ a) @ (inverse @ b)) = (inverse @ a))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 11.02/2.31 thf(symmetry_of_glb, axiom,
% 11.02/2.31 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 11.02/2.31 thf(zip_derived_cl3, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 11.02/2.31 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 11.02/2.31 thf(lub_absorbtion, axiom,
% 11.02/2.31 (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 11.02/2.31 thf(zip_derived_cl9, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 11.02/2.31 inference('cnf', [status(esa)], [lub_absorbtion])).
% 11.02/2.31 thf(zip_derived_cl44, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((least_upper_bound @ X0 @ (greatest_lower_bound @ X1 @ X0)) = (X0))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 11.02/2.31 thf(zip_derived_cl160, plain,
% 11.02/2.31 (((least_upper_bound @ (inverse @ b) @ (inverse @ a)) = (inverse @ b))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl44])).
% 11.02/2.31 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 11.02/2.31 thf(zip_derived_cl1, plain,
% 11.02/2.31 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 11.02/2.31 inference('cnf', [status(esa)], [left_inverse])).
% 11.02/2.31 thf(monotony_lub2, axiom,
% 11.02/2.31 (( multiply @ ( least_upper_bound @ Y @ Z ) @ X ) =
% 11.02/2.31 ( least_upper_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 11.02/2.31 thf(zip_derived_cl13, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.02/2.31 ((multiply @ (least_upper_bound @ X0 @ X2) @ X1)
% 11.02/2.31 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 11.02/2.31 inference('cnf', [status(esa)], [monotony_lub2])).
% 11.02/2.31 thf(zip_derived_cl111, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((multiply @ (least_upper_bound @ (inverse @ X0) @ X1) @ X0)
% 11.02/2.31 = (least_upper_bound @ identity @ (multiply @ X1 @ X0)))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 11.02/2.31 thf(zip_derived_cl5950, plain,
% 11.02/2.31 (((multiply @ (inverse @ b) @ b)
% 11.02/2.31 = (least_upper_bound @ identity @ (multiply @ (inverse @ a) @ b)))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl111])).
% 11.02/2.31 thf(zip_derived_cl1, plain,
% 11.02/2.31 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 11.02/2.31 inference('cnf', [status(esa)], [left_inverse])).
% 11.02/2.31 thf(zip_derived_cl5967, plain,
% 11.02/2.31 (((identity)
% 11.02/2.31 = (least_upper_bound @ identity @ (multiply @ (inverse @ a) @ b)))),
% 11.02/2.31 inference('demod', [status(thm)], [zip_derived_cl5950, zip_derived_cl1])).
% 11.02/2.31 thf(zip_derived_cl1, plain,
% 11.02/2.31 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 11.02/2.31 inference('cnf', [status(esa)], [left_inverse])).
% 11.02/2.31 thf(associativity, axiom,
% 11.02/2.31 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 11.02/2.31 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 11.02/2.31 thf(zip_derived_cl2, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.02/2.31 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 11.02/2.31 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 11.02/2.31 inference('cnf', [status(esa)], [associativity])).
% 11.02/2.31 thf(zip_derived_cl25, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((multiply @ identity @ X0)
% 11.02/2.31 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 11.02/2.31 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 11.02/2.31 thf(zip_derived_cl0, plain,
% 11.02/2.31 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 11.02/2.31 inference('cnf', [status(esa)], [left_identity])).
% 11.02/2.31 thf(zip_derived_cl27, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 11.02/2.31 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 11.02/2.31 thf(monotony_lub1, axiom,
% 11.02/2.31 (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 11.02/2.31 ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 11.02/2.31 thf(zip_derived_cl11, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.02/2.31 ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 11.02/2.31 = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 11.02/2.31 inference('cnf', [status(esa)], [monotony_lub1])).
% 11.02/2.31 thf(zip_derived_cl85, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.02/2.31 ((multiply @ (inverse @ X1) @
% 11.02/2.31 (least_upper_bound @ X2 @ (multiply @ X1 @ X0)))
% 11.02/2.31 = (least_upper_bound @ (multiply @ (inverse @ X1) @ X2) @ X0))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl11])).
% 11.02/2.31 thf(zip_derived_cl6020, plain,
% 11.02/2.31 (((multiply @ (inverse @ (inverse @ a)) @ identity)
% 11.02/2.31 = (least_upper_bound @
% 11.02/2.31 (multiply @ (inverse @ (inverse @ a)) @ identity) @ b))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl5967, zip_derived_cl85])).
% 11.02/2.31 thf(zip_derived_cl1, plain,
% 11.02/2.31 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 11.02/2.31 inference('cnf', [status(esa)], [left_inverse])).
% 11.02/2.31 thf(zip_derived_cl27, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 11.02/2.31 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 11.02/2.31 thf(zip_derived_cl34, plain,
% 11.02/2.31 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 11.02/2.31 thf(zip_derived_cl27, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 11.02/2.31 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 11.02/2.31 thf(zip_derived_cl27, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 11.02/2.31 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl0])).
% 11.02/2.31 thf(zip_derived_cl31, plain,
% 11.02/2.31 (![X0 : $i, X1 : $i]:
% 11.02/2.31 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl27])).
% 11.02/2.31 thf(zip_derived_cl332, plain,
% 11.02/2.31 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl31])).
% 11.02/2.31 thf(zip_derived_cl34, plain,
% 11.02/2.31 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl27])).
% 11.02/2.31 thf(zip_derived_cl357, plain,
% 11.02/2.31 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl332, zip_derived_cl34])).
% 11.02/2.31 thf(zip_derived_cl332, plain,
% 11.02/2.31 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl31])).
% 11.02/2.31 thf(zip_derived_cl357, plain,
% 11.02/2.31 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl332, zip_derived_cl34])).
% 11.02/2.31 thf(zip_derived_cl332, plain,
% 11.02/2.31 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 11.02/2.31 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl31])).
% 11.02/2.31 thf(zip_derived_cl6039, plain, (((a) = (least_upper_bound @ a @ b))),
% 11.02/2.31 inference('demod', [status(thm)],
% 11.02/2.31 [zip_derived_cl6020, zip_derived_cl357, zip_derived_cl332,
% 11.02/2.31 zip_derived_cl357, zip_derived_cl332])).
% 11.02/2.31 thf(prove_p02a, conjecture, (( least_upper_bound @ a @ b ) = ( a ))).
% 11.02/2.31 thf(zf_stmt_0, negated_conjecture, (( least_upper_bound @ a @ b ) != ( a )),
% 11.02/2.31 inference('cnf.neg', [status(esa)], [prove_p02a])).
% 11.02/2.31 thf(zip_derived_cl16, plain, (((least_upper_bound @ a @ b) != (a))),
% 11.02/2.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.02/2.31 thf(zip_derived_cl6040, plain, ($false),
% 11.02/2.31 inference('simplify_reflect-', [status(thm)],
% 11.02/2.31 [zip_derived_cl6039, zip_derived_cl16])).
% 11.02/2.31
% 11.02/2.31 % SZS output end Refutation
% 11.02/2.31
% 11.02/2.31
% 11.02/2.32 % Terminating...
% 11.57/2.40 % Runner terminated.
% 11.57/2.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------