TSTP Solution File: GRP034-3 by Zipperpin---2.1.9999
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- Process Solution
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% File : Zipperpin---2.1.9999
% Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iY66NpYuSW true
% Computer : n020.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 01:49:38 EDT 2023
% Result : Unsatisfiable 0.20s 0.74s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iY66NpYuSW true
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:58:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % Solved by fo/fo6_bce.sh.
% 0.20/0.74 % BCE start: 11
% 0.20/0.74 % BCE eliminated: 0
% 0.20/0.74 % PE start: 11
% 0.20/0.74 logic: eq
% 0.20/0.74 % PE eliminated: 0
% 0.20/0.74 % done 11 iterations in 0.010s
% 0.20/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.74 % SZS output start Refutation
% 0.20/0.74 thf(inverse_type, type, inverse: $i > $i).
% 0.20/0.74 thf(product_type, type, product: $i > $i > $i > $o).
% 0.20/0.74 thf(identity_type, type, identity: $i).
% 0.20/0.74 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 0.20/0.74 thf(a_type, type, a: $i).
% 0.20/0.74 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.20/0.74 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.20/0.74 inference('cnf', [status(esa)], [left_identity])).
% 0.20/0.74 thf(closure_of_product_and_inverse, axiom,
% 0.20/0.74 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 0.20/0.74 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 0.20/0.74 thf(zip_derived_cl8, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.74 (~ (subgroup_member @ X0)
% 0.20/0.74 | ~ (subgroup_member @ X1)
% 0.20/0.74 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.20/0.74 | (subgroup_member @ X2))),
% 0.20/0.74 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.20/0.74 thf(zip_derived_cl54, plain,
% 0.20/0.74 (![X0 : $i]:
% 0.20/0.74 (~ (subgroup_member @ identity)
% 0.20/0.74 | ~ (subgroup_member @ X0)
% 0.20/0.74 | (subgroup_member @ (inverse @ X0)))),
% 0.20/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 0.20/0.74 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.20/0.74 thf(zip_derived_cl3, plain,
% 0.20/0.74 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.20/0.74 inference('cnf', [status(esa)], [right_inverse])).
% 0.20/0.74 thf(zip_derived_cl8, plain,
% 0.20/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.74 (~ (subgroup_member @ X0)
% 0.20/0.74 | ~ (subgroup_member @ X1)
% 0.20/0.74 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.20/0.74 | (subgroup_member @ X2))),
% 0.20/0.74 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.20/0.74 thf(zip_derived_cl53, plain,
% 0.20/0.74 (![X0 : $i]:
% 0.20/0.74 (~ (subgroup_member @ X0)
% 0.20/0.74 | ~ (subgroup_member @ X0)
% 0.20/0.74 | (subgroup_member @ identity))),
% 0.20/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.20/0.74 thf(zip_derived_cl56, plain,
% 0.20/0.74 (![X0 : $i]: ( (subgroup_member @ identity) | ~ (subgroup_member @ X0))),
% 0.20/0.74 inference('simplify', [status(thm)], [zip_derived_cl53])).
% 0.20/0.74 thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 0.20/0.74 thf(zip_derived_cl9, plain, ( (subgroup_member @ a)),
% 0.20/0.74 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.20/0.74 thf(zip_derived_cl59, plain, ( (subgroup_member @ identity)),
% 0.20/0.74 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl9])).
% 0.20/0.74 thf(zip_derived_cl71, plain,
% 0.20/0.74 (![X0 : $i]:
% 0.20/0.74 (~ (subgroup_member @ X0) | (subgroup_member @ (inverse @ X0)))),
% 0.20/0.74 inference('demod', [status(thm)], [zip_derived_cl54, zip_derived_cl59])).
% 0.20/0.74 thf(prove_a_inverse_is_in_subgroup, conjecture,
% 0.20/0.74 (subgroup_member @ ( inverse @ a ))).
% 0.20/0.74 thf(zf_stmt_0, negated_conjecture, (~( subgroup_member @ ( inverse @ a ) )),
% 0.20/0.74 inference('cnf.neg', [status(esa)], [prove_a_inverse_is_in_subgroup])).
% 0.20/0.74 thf(zip_derived_cl10, plain, (~ (subgroup_member @ (inverse @ a))),
% 0.20/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.74 thf(zip_derived_cl72, plain, (~ (subgroup_member @ a)),
% 0.20/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl10])).
% 0.20/0.74 thf(zip_derived_cl9, plain, ( (subgroup_member @ a)),
% 0.20/0.74 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.20/0.74 thf(zip_derived_cl73, plain, ($false),
% 0.20/0.74 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl9])).
% 0.20/0.74
% 0.20/0.74 % SZS output end Refutation
% 0.20/0.74
% 0.20/0.74
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % Terminating...
% 1.38/0.85 % Runner terminated.
% 1.38/0.86 % Zipperpin 1.5 exiting
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