TSTP Solution File: GRP172-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP172-1 : 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.s6ezNNIVL6 true
% Computer : n022.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 0.56s 1.10s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP172-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s6ezNNIVL6 true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 02:36:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.10 % Solved by fo/fo5.sh.
% 0.56/1.10 % done 377 iterations in 0.327s
% 0.56/1.10 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.10 % SZS output start Refutation
% 0.56/1.10 thf(b_type, type, b: $i).
% 0.56/1.10 thf(identity_type, type, identity: $i).
% 0.56/1.10 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/1.10 thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 0.56/1.10 thf(inverse_type, type, inverse: $i > $i).
% 0.56/1.10 thf(a_type, type, a: $i).
% 0.56/1.10 thf(p04b_1, axiom, (( greatest_lower_bound @ identity @ a ) = ( identity ))).
% 0.56/1.10 thf(zip_derived_cl15, plain,
% 0.56/1.10 (((greatest_lower_bound @ identity @ a) = (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [p04b_1])).
% 0.56/1.10 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/1.10 thf(zip_derived_cl1, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.10 thf(monotony_glb1, axiom,
% 0.56/1.10 (( multiply @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 0.56/1.10 ( greatest_lower_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 0.56/1.10 thf(zip_derived_cl12, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.10 ((multiply @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 0.56/1.10 = (greatest_lower_bound @ (multiply @ X0 @ X1) @
% 0.56/1.10 (multiply @ X0 @ X2)))),
% 0.56/1.10 inference('cnf', [status(esa)], [monotony_glb1])).
% 0.56/1.10 thf(zip_derived_cl78, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((multiply @ (inverse @ X0) @ (greatest_lower_bound @ X1 @ X0))
% 0.56/1.10 = (greatest_lower_bound @ (multiply @ (inverse @ X0) @ X1) @
% 0.56/1.10 identity))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl12])).
% 0.56/1.10 thf(zip_derived_cl2188, plain,
% 0.56/1.10 (((multiply @ (inverse @ a) @ identity)
% 0.56/1.10 = (greatest_lower_bound @ (multiply @ (inverse @ a) @ identity) @
% 0.56/1.10 identity))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl78])).
% 0.56/1.10 thf(zip_derived_cl1, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.10 thf(zip_derived_cl1, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.10 thf(associativity, axiom,
% 0.56/1.10 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/1.10 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/1.10 thf(zip_derived_cl2, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.10 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.10 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.10 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.10 thf(zip_derived_cl24, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((multiply @ identity @ X0)
% 0.56/1.10 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/1.10 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/1.10 thf(zip_derived_cl0, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.10 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.10 thf(zip_derived_cl26, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.10 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.56/1.10 thf(zip_derived_cl32, plain,
% 0.56/1.10 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl26])).
% 0.56/1.10 thf(zip_derived_cl26, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.10 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.56/1.10 thf(zip_derived_cl26, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.10 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 0.56/1.10 thf(zip_derived_cl29, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl26])).
% 0.56/1.10 thf(zip_derived_cl223, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl29])).
% 0.56/1.10 thf(zip_derived_cl223, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl29])).
% 0.56/1.10 thf(symmetry_of_glb, axiom,
% 0.56/1.10 (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 0.56/1.10 thf(zip_derived_cl3, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 0.56/1.10 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 0.56/1.10 thf(zip_derived_cl2221, plain,
% 0.56/1.10 (((inverse @ a) = (greatest_lower_bound @ identity @ (inverse @ a)))),
% 0.56/1.10 inference('demod', [status(thm)],
% 0.56/1.10 [zip_derived_cl2188, zip_derived_cl223, zip_derived_cl223,
% 0.56/1.10 zip_derived_cl3])).
% 0.56/1.10 thf(zip_derived_cl15, plain,
% 0.56/1.10 (((greatest_lower_bound @ identity @ a) = (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [p04b_1])).
% 0.56/1.10 thf(associativity_of_glb, axiom,
% 0.56/1.10 (( greatest_lower_bound @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 0.56/1.10 ( greatest_lower_bound @ ( greatest_lower_bound @ X @ Y ) @ Z ))).
% 0.56/1.10 thf(zip_derived_cl5, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 0.56/1.10 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 0.56/1.10 inference('cnf', [status(esa)], [associativity_of_glb])).
% 0.56/1.10 thf(zip_derived_cl3, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 0.56/1.10 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 0.56/1.10 thf(zip_derived_cl56, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X2 @ X1))
% 0.56/1.10 = (greatest_lower_bound @ X2 @ (greatest_lower_bound @ X1 @ X0)))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.56/1.10 thf(zip_derived_cl523, plain,
% 0.56/1.10 (![X0 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X0 @ identity)
% 0.56/1.10 = (greatest_lower_bound @ identity @ (greatest_lower_bound @ a @ X0)))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl56])).
% 0.56/1.10 thf(zip_derived_cl3, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 0.56/1.10 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 0.56/1.10 thf(p04b_2, axiom, (( greatest_lower_bound @ identity @ b ) = ( identity ))).
% 0.56/1.10 thf(zip_derived_cl16, plain,
% 0.56/1.10 (((greatest_lower_bound @ identity @ b) = (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [p04b_2])).
% 0.56/1.10 thf(zip_derived_cl5, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 0.56/1.10 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 0.56/1.10 inference('cnf', [status(esa)], [associativity_of_glb])).
% 0.56/1.10 thf(zip_derived_cl67, plain,
% 0.56/1.10 (![X0 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ identity @ (greatest_lower_bound @ b @ X0))
% 0.56/1.10 = (greatest_lower_bound @ identity @ X0))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 0.56/1.10 thf(zip_derived_cl370, plain,
% 0.56/1.10 (![X0 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ identity @ (greatest_lower_bound @ X0 @ b))
% 0.56/1.10 = (greatest_lower_bound @ identity @ X0))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl67])).
% 0.56/1.10 thf(zip_derived_cl578, plain,
% 0.56/1.10 (((greatest_lower_bound @ b @ identity)
% 0.56/1.10 = (greatest_lower_bound @ identity @ a))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl523, zip_derived_cl370])).
% 0.56/1.10 thf(zip_derived_cl15, plain,
% 0.56/1.10 (((greatest_lower_bound @ identity @ a) = (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [p04b_1])).
% 0.56/1.10 thf(zip_derived_cl598, plain,
% 0.56/1.10 (((greatest_lower_bound @ b @ identity) = (identity))),
% 0.56/1.10 inference('demod', [status(thm)], [zip_derived_cl578, zip_derived_cl15])).
% 0.56/1.10 thf(zip_derived_cl5, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 0.56/1.10 = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 0.56/1.10 inference('cnf', [status(esa)], [associativity_of_glb])).
% 0.56/1.10 thf(zip_derived_cl613, plain,
% 0.56/1.10 (![X0 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ b @ (greatest_lower_bound @ identity @ X0))
% 0.56/1.10 = (greatest_lower_bound @ identity @ X0))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl598, zip_derived_cl5])).
% 0.56/1.10 thf(zip_derived_cl2276, plain,
% 0.56/1.10 (((greatest_lower_bound @ b @ (inverse @ a))
% 0.56/1.10 = (greatest_lower_bound @ identity @ (inverse @ a)))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl2221, zip_derived_cl613])).
% 0.56/1.10 thf(zip_derived_cl2221, plain,
% 0.56/1.10 (((inverse @ a) = (greatest_lower_bound @ identity @ (inverse @ a)))),
% 0.56/1.10 inference('demod', [status(thm)],
% 0.56/1.10 [zip_derived_cl2188, zip_derived_cl223, zip_derived_cl223,
% 0.56/1.10 zip_derived_cl3])).
% 0.56/1.10 thf(zip_derived_cl2287, plain,
% 0.56/1.10 (((greatest_lower_bound @ b @ (inverse @ a)) = (inverse @ a))),
% 0.56/1.10 inference('demod', [status(thm)],
% 0.56/1.10 [zip_derived_cl2276, zip_derived_cl2221])).
% 0.56/1.10 thf(zip_derived_cl78, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((multiply @ (inverse @ X0) @ (greatest_lower_bound @ X1 @ X0))
% 0.56/1.10 = (greatest_lower_bound @ (multiply @ (inverse @ X0) @ X1) @
% 0.56/1.10 identity))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl12])).
% 0.56/1.10 thf(zip_derived_cl2634, plain,
% 0.56/1.10 (((multiply @ (inverse @ (inverse @ a)) @ (inverse @ a))
% 0.56/1.10 = (greatest_lower_bound @
% 0.56/1.10 (multiply @ (inverse @ (inverse @ a)) @ b) @ identity))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl2287, zip_derived_cl78])).
% 0.56/1.10 thf(zip_derived_cl223, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl29])).
% 0.56/1.10 thf(zip_derived_cl32, plain,
% 0.56/1.10 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl26])).
% 0.56/1.10 thf(zip_derived_cl261, plain,
% 0.56/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl32])).
% 0.56/1.10 thf(zip_derived_cl261, plain,
% 0.56/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl32])).
% 0.56/1.10 thf(zip_derived_cl1, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.10 thf(zip_derived_cl270, plain,
% 0.56/1.10 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl1])).
% 0.56/1.10 thf(zip_derived_cl261, plain,
% 0.56/1.10 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.10 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl32])).
% 0.56/1.10 thf(zip_derived_cl3, plain,
% 0.56/1.10 (![X0 : $i, X1 : $i]:
% 0.56/1.10 ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 0.56/1.10 inference('cnf', [status(esa)], [symmetry_of_glb])).
% 0.56/1.10 thf(zip_derived_cl2643, plain,
% 0.56/1.10 (((identity) = (greatest_lower_bound @ identity @ (multiply @ a @ b)))),
% 0.56/1.10 inference('demod', [status(thm)],
% 0.56/1.10 [zip_derived_cl2634, zip_derived_cl261, zip_derived_cl270,
% 0.56/1.10 zip_derived_cl261, zip_derived_cl3])).
% 0.56/1.10 thf(prove_p04b, conjecture,
% 0.56/1.10 (( greatest_lower_bound @ identity @ ( multiply @ a @ b ) ) = ( identity ))).
% 0.56/1.10 thf(zf_stmt_0, negated_conjecture,
% 0.56/1.10 (( greatest_lower_bound @ identity @ ( multiply @ a @ b ) ) != ( identity )),
% 0.56/1.10 inference('cnf.neg', [status(esa)], [prove_p04b])).
% 0.56/1.10 thf(zip_derived_cl17, plain,
% 0.56/1.10 (((greatest_lower_bound @ identity @ (multiply @ a @ b)) != (identity))),
% 0.56/1.10 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/1.10 thf(zip_derived_cl2644, plain, ($false),
% 0.56/1.10 inference('simplify_reflect-', [status(thm)],
% 0.56/1.10 [zip_derived_cl2643, zip_derived_cl17])).
% 0.56/1.10
% 0.56/1.10 % SZS output end Refutation
% 0.56/1.10
% 0.56/1.10
% 0.56/1.10 % Terminating...
% 1.71/1.16 % Runner terminated.
% 1.73/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------