TSTP Solution File: GRP037-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP037-3 : 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.83ZAf5nOQG true
% Computer : n026.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 01:49:39 EDT 2023
% Result : Unsatisfiable 0.21s 0.78s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.83ZAf5nOQG true
% 0.13/0.35 % Computer : n026.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 03:01:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78 % Solved by fo/fo3_bce.sh.
% 0.21/0.78 % BCE start: 19
% 0.21/0.78 % BCE eliminated: 0
% 0.21/0.78 % PE start: 19
% 0.21/0.78 logic: eq
% 0.21/0.78 % PE eliminated: 0
% 0.21/0.78 % done 143 iterations in 0.039s
% 0.21/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78 % SZS output start Refutation
% 0.21/0.78 thf(inverse_type, type, inverse: $i > $i).
% 0.21/0.78 thf(product_type, type, product: $i > $i > $i > $o).
% 0.21/0.78 thf(another_identity_type, type, another_identity: $i).
% 0.21/0.78 thf(a_type, type, a: $i).
% 0.21/0.78 thf(identity_type, type, identity: $i).
% 0.21/0.78 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 0.21/0.78 thf(another_inverse_type, type, another_inverse: $i > $i).
% 0.21/0.78 thf(another_right_inverse, axiom,
% 0.21/0.78 (( ~( subgroup_member @ A ) ) |
% 0.21/0.78 ( product @ A @ ( another_inverse @ A ) @ another_identity ))).
% 0.21/0.78 thf(zip_derived_cl11, plain,
% 0.21/0.78 (![X0 : $i]:
% 0.21/0.78 (~ (subgroup_member @ X0)
% 0.21/0.78 | (product @ X0 @ (another_inverse @ X0) @ another_identity))),
% 0.21/0.78 inference('cnf', [status(esa)], [another_right_inverse])).
% 0.21/0.78 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.21/0.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.21/0.78 inference('cnf', [status(esa)], [right_identity])).
% 0.21/0.78 thf(total_function2, axiom,
% 0.21/0.78 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.21/0.78 ( ( Z ) = ( W ) ))).
% 0.21/0.78 thf(zip_derived_cl5, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (product @ X0 @ X1 @ X2)
% 0.21/0.78 | ~ (product @ X0 @ X1 @ X3)
% 0.21/0.78 | ((X2) = (X3)))),
% 0.21/0.78 inference('cnf', [status(esa)], [total_function2])).
% 0.21/0.78 thf(zip_derived_cl89, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.21/0.78 thf(another_left_identity, axiom,
% 0.21/0.78 (( ~( subgroup_member @ A ) ) | ( product @ another_identity @ A @ A ))).
% 0.21/0.78 thf(zip_derived_cl9, plain,
% 0.21/0.78 (![X0 : $i]:
% 0.21/0.78 (~ (subgroup_member @ X0) | (product @ another_identity @ X0 @ X0))),
% 0.21/0.78 inference('cnf', [status(esa)], [another_left_identity])).
% 0.21/0.78 thf(zip_derived_cl110, plain,
% 0.21/0.78 ((((another_identity) = (identity)) | ~ (subgroup_member @ identity))),
% 0.21/0.78 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl9])).
% 0.21/0.78 thf(another_identity_in_subgroup, axiom,
% 0.21/0.78 (subgroup_member @ another_identity)).
% 0.21/0.78 thf(zip_derived_cl17, plain, ( (subgroup_member @ another_identity)),
% 0.21/0.78 inference('cnf', [status(esa)], [another_identity_in_subgroup])).
% 0.21/0.78 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.21/0.78 thf(zip_derived_cl3, plain,
% 0.21/0.78 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.21/0.78 inference('cnf', [status(esa)], [right_inverse])).
% 0.21/0.78 thf(closure_of_product_and_inverse, axiom,
% 0.21/0.78 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 0.21/0.78 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 0.21/0.78 thf(zip_derived_cl8, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.78 (~ (subgroup_member @ X0)
% 0.21/0.78 | ~ (subgroup_member @ X1)
% 0.21/0.78 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.21/0.78 | (subgroup_member @ X2))),
% 0.21/0.78 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.21/0.78 thf(zip_derived_cl132, plain,
% 0.21/0.78 (![X0 : $i]:
% 0.21/0.78 ( (subgroup_member @ identity)
% 0.21/0.78 | ~ (subgroup_member @ X0)
% 0.21/0.78 | ~ (subgroup_member @ X0))),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.21/0.78 thf(zip_derived_cl137, plain,
% 0.21/0.78 (![X0 : $i]: (~ (subgroup_member @ X0) | (subgroup_member @ identity))),
% 0.21/0.78 inference('simplify', [status(thm)], [zip_derived_cl132])).
% 0.21/0.78 thf(zip_derived_cl171, plain, ( (subgroup_member @ identity)),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl137])).
% 0.21/0.78 thf(zip_derived_cl187, plain, (((another_identity) = (identity))),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl171])).
% 0.21/0.78 thf(zip_derived_cl191, plain,
% 0.21/0.78 (![X0 : $i]:
% 0.21/0.78 (~ (subgroup_member @ X0)
% 0.21/0.78 | (product @ X0 @ (another_inverse @ X0) @ identity))),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl187])).
% 0.21/0.78 thf(zip_derived_cl3, plain,
% 0.21/0.78 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.21/0.78 inference('cnf', [status(esa)], [right_inverse])).
% 0.21/0.78 thf(product_right_cancellation, axiom,
% 0.21/0.78 (( ~( product @ A @ B @ C ) ) | ( ~( product @ A @ D @ C ) ) |
% 0.21/0.78 ( ( D ) = ( B ) ))).
% 0.21/0.78 thf(zip_derived_cl14, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.78 (~ (product @ X0 @ X1 @ X2)
% 0.21/0.78 | ~ (product @ X0 @ X3 @ X2)
% 0.21/0.78 | ((X3) = (X1)))),
% 0.21/0.78 inference('cnf', [status(esa)], [product_right_cancellation])).
% 0.21/0.78 thf(zip_derived_cl105, plain,
% 0.21/0.78 (![X0 : $i, X1 : $i]:
% 0.21/0.78 (((X1) = (inverse @ X0)) | ~ (product @ X0 @ X1 @ identity))),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 0.21/0.78 thf(zip_derived_cl339, plain,
% 0.21/0.78 (![X0 : $i]:
% 0.21/0.78 (~ (subgroup_member @ X0) | ((another_inverse @ X0) = (inverse @ X0)))),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl105])).
% 0.21/0.78 thf(prove_two_inverses_are_equal, conjecture,
% 0.21/0.78 (( inverse @ a ) = ( another_inverse @ a ))).
% 0.21/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.21/0.78 (( inverse @ a ) != ( another_inverse @ a )),
% 0.21/0.78 inference('cnf.neg', [status(esa)], [prove_two_inverses_are_equal])).
% 0.21/0.78 thf(zip_derived_cl18, plain, (((inverse @ a) != (another_inverse @ a))),
% 0.21/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.78 thf(zip_derived_cl357, plain,
% 0.21/0.78 ((((inverse @ a) != (inverse @ a)) | ~ (subgroup_member @ a))),
% 0.21/0.78 inference('sup-', [status(thm)], [zip_derived_cl339, zip_derived_cl18])).
% 0.21/0.78 thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 0.21/0.78 thf(zip_derived_cl16, plain, ( (subgroup_member @ a)),
% 0.21/0.78 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.21/0.78 thf(zip_derived_cl361, plain, (((inverse @ a) != (inverse @ a))),
% 0.21/0.78 inference('demod', [status(thm)], [zip_derived_cl357, zip_derived_cl16])).
% 0.21/0.78 thf(zip_derived_cl362, plain, ($false),
% 0.21/0.78 inference('simplify', [status(thm)], [zip_derived_cl361])).
% 0.21/0.78
% 0.21/0.78 % SZS output end Refutation
% 0.21/0.78
% 0.21/0.78
% 0.21/0.78 % Terminating...
% 1.12/0.84 % Runner terminated.
% 1.12/0.85 % Zipperpin 1.5 exiting
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