TSTP Solution File: GRP035-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP035-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AWoFu2rw70 true
% Computer : n028.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 0.54s 0.78s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP035-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AWoFu2rw70 true
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 00:08:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.78 % Solved by fo/fo7.sh.
% 0.54/0.78 % done 148 iterations in 0.045s
% 0.54/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.78 % SZS output start Refutation
% 0.54/0.78 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.78 thf(product_type, type, product: $i > $i > $i > $o).
% 0.54/0.78 thf(c_type, type, c: $i).
% 0.54/0.78 thf(b_type, type, b: $i).
% 0.54/0.78 thf(identity_type, type, identity: $i).
% 0.54/0.78 thf(subgroup_member_type, type, subgroup_member: $i > $o).
% 0.54/0.78 thf(a_type, type, a: $i).
% 0.54/0.78 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.78 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.54/0.78 thf(zip_derived_cl4, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.54/0.78 inference('cnf', [status(esa)], [total_function1])).
% 0.54/0.78 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.54/0.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.54/0.78 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.78 thf(closure_of_product_and_inverse, axiom,
% 0.54/0.78 (( ~( subgroup_member @ A ) ) | ( ~( subgroup_member @ B ) ) |
% 0.54/0.78 ( ~( product @ A @ ( inverse @ B ) @ C ) ) | ( subgroup_member @ C ))).
% 0.54/0.78 thf(zip_derived_cl8, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 (~ (subgroup_member @ X0)
% 0.54/0.78 | ~ (subgroup_member @ X1)
% 0.54/0.78 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.54/0.78 | (subgroup_member @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.54/0.78 thf(zip_derived_cl20, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (subgroup_member @ (inverse @ X0))
% 0.54/0.78 | ~ (subgroup_member @ X0)
% 0.54/0.78 | ~ (subgroup_member @ identity))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl8])).
% 0.54/0.78 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.54/0.78 thf(zip_derived_cl3, plain,
% 0.54/0.78 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.54/0.78 inference('cnf', [status(esa)], [right_inverse])).
% 0.54/0.78 thf(zip_derived_cl8, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 (~ (subgroup_member @ X0)
% 0.54/0.78 | ~ (subgroup_member @ X1)
% 0.54/0.78 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.54/0.78 | (subgroup_member @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.54/0.78 thf(zip_derived_cl50, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (subgroup_member @ identity)
% 0.54/0.78 | ~ (subgroup_member @ X0)
% 0.54/0.78 | ~ (subgroup_member @ X0))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 0.54/0.78 thf(zip_derived_cl55, plain,
% 0.54/0.78 (![X0 : $i]: (~ (subgroup_member @ X0) | (subgroup_member @ identity))),
% 0.54/0.78 inference('simplify', [status(thm)], [zip_derived_cl50])).
% 0.54/0.78 thf(a_is_in_subgroup, axiom, (subgroup_member @ a)).
% 0.54/0.78 thf(zip_derived_cl9, plain, ( (subgroup_member @ a)),
% 0.54/0.78 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.54/0.78 thf(zip_derived_cl90, plain, ( (subgroup_member @ identity)),
% 0.54/0.78 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl9])).
% 0.54/0.78 thf(zip_derived_cl101, plain,
% 0.54/0.78 (![X0 : $i]:
% 0.54/0.78 ( (subgroup_member @ (inverse @ X0)) | ~ (subgroup_member @ X0))),
% 0.54/0.78 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl90])).
% 0.54/0.78 thf(zip_derived_cl3, plain,
% 0.54/0.78 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.54/0.78 inference('cnf', [status(esa)], [right_inverse])).
% 0.54/0.78 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.54/0.78 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.78 thf(zip_derived_cl3, plain,
% 0.54/0.78 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.54/0.78 inference('cnf', [status(esa)], [right_inverse])).
% 0.54/0.78 thf(associativity1, axiom,
% 0.54/0.78 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.54/0.78 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.54/0.78 thf(zip_derived_cl6, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.78 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (product @ X1 @ X3 @ X4)
% 0.54/0.78 | ~ (product @ X2 @ X3 @ X5)
% 0.54/0.78 | (product @ X0 @ X4 @ X5))),
% 0.54/0.78 inference('cnf', [status(esa)], [associativity1])).
% 0.54/0.78 thf(zip_derived_cl48, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 ( (product @ X0 @ X2 @ X1)
% 0.54/0.78 | ~ (product @ identity @ X3 @ X1)
% 0.54/0.78 | ~ (product @ (inverse @ X0) @ X3 @ X2))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.54/0.78 thf(zip_derived_cl135, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl48])).
% 0.54/0.78 thf(zip_derived_cl141, plain,
% 0.54/0.78 (![X0 : $i]: (product @ X0 @ identity @ (inverse @ (inverse @ X0)))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl135])).
% 0.54/0.78 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.54/0.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.54/0.78 inference('cnf', [status(esa)], [right_identity])).
% 0.54/0.78 thf(total_function2, axiom,
% 0.54/0.78 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.54/0.78 ( ( Z ) = ( W ) ))).
% 0.54/0.78 thf(zip_derived_cl5, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.78 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.78 | ~ (product @ X0 @ X1 @ X3)
% 0.54/0.78 | ((X2) = (X3)))),
% 0.54/0.78 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.78 thf(zip_derived_cl13, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.54/0.78 thf(zip_derived_cl148, plain,
% 0.54/0.78 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl13])).
% 0.54/0.78 thf(zip_derived_cl8, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 (~ (subgroup_member @ X0)
% 0.54/0.78 | ~ (subgroup_member @ X1)
% 0.54/0.78 | ~ (product @ X0 @ (inverse @ X1) @ X2)
% 0.54/0.78 | (subgroup_member @ X2))),
% 0.54/0.78 inference('cnf', [status(esa)], [closure_of_product_and_inverse])).
% 0.54/0.78 thf(zip_derived_cl173, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 (~ (product @ X2 @ X0 @ X1)
% 0.54/0.78 | (subgroup_member @ X1)
% 0.54/0.78 | ~ (subgroup_member @ (inverse @ X0))
% 0.54/0.78 | ~ (subgroup_member @ X2))),
% 0.54/0.78 inference('sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl8])).
% 0.54/0.78 thf(zip_derived_cl187, plain,
% 0.54/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.78 (~ (subgroup_member @ X0)
% 0.54/0.78 | ~ (subgroup_member @ X1)
% 0.54/0.79 | (subgroup_member @ X2)
% 0.54/0.79 | ~ (product @ X1 @ X0 @ X2))),
% 0.54/0.79 inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl173])).
% 0.54/0.79 thf(zip_derived_cl266, plain,
% 0.54/0.79 (![X0 : $i, X1 : $i]:
% 0.54/0.79 ( (subgroup_member @ (multiply @ X1 @ X0))
% 0.54/0.79 | ~ (subgroup_member @ X1)
% 0.54/0.79 | ~ (subgroup_member @ X0))),
% 0.54/0.79 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl187])).
% 0.54/0.79 thf(prove_c_is_in_subgroup, conjecture, (subgroup_member @ c)).
% 0.54/0.79 thf(zf_stmt_0, negated_conjecture, (~( subgroup_member @ c )),
% 0.54/0.79 inference('cnf.neg', [status(esa)], [prove_c_is_in_subgroup])).
% 0.54/0.79 thf(zip_derived_cl12, plain, (~ (subgroup_member @ c)),
% 0.54/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.79 thf(zip_derived_cl4, plain,
% 0.54/0.79 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.54/0.79 inference('cnf', [status(esa)], [total_function1])).
% 0.54/0.79 thf(a_times_b_is_c, axiom, (product @ a @ b @ c)).
% 0.54/0.79 thf(zip_derived_cl11, plain, ( (product @ a @ b @ c)),
% 0.54/0.79 inference('cnf', [status(esa)], [a_times_b_is_c])).
% 0.54/0.79 thf(zip_derived_cl5, plain,
% 0.54/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.79 | ~ (product @ X0 @ X1 @ X3)
% 0.54/0.79 | ((X2) = (X3)))),
% 0.54/0.79 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.79 thf(zip_derived_cl36, plain,
% 0.54/0.79 (![X0 : $i]: (((c) = (X0)) | ~ (product @ a @ b @ X0))),
% 0.54/0.79 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl5])).
% 0.54/0.79 thf(zip_derived_cl64, plain, (((c) = (multiply @ a @ b))),
% 0.54/0.79 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl36])).
% 0.54/0.79 thf(zip_derived_cl66, plain, (~ (subgroup_member @ (multiply @ a @ b))),
% 0.54/0.79 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl64])).
% 0.54/0.79 thf(zip_derived_cl390, plain,
% 0.54/0.79 ((~ (subgroup_member @ b) | ~ (subgroup_member @ a))),
% 0.54/0.79 inference('sup-', [status(thm)], [zip_derived_cl266, zip_derived_cl66])).
% 0.54/0.79 thf(b_is_in_subgroup, axiom, (subgroup_member @ b)).
% 0.54/0.79 thf(zip_derived_cl10, plain, ( (subgroup_member @ b)),
% 0.54/0.79 inference('cnf', [status(esa)], [b_is_in_subgroup])).
% 0.54/0.79 thf(zip_derived_cl9, plain, ( (subgroup_member @ a)),
% 0.54/0.79 inference('cnf', [status(esa)], [a_is_in_subgroup])).
% 0.54/0.79 thf(zip_derived_cl402, plain, ($false),
% 0.54/0.79 inference('demod', [status(thm)],
% 0.54/0.79 [zip_derived_cl390, zip_derived_cl10, zip_derived_cl9])).
% 0.54/0.79
% 0.54/0.79 % SZS output end Refutation
% 0.54/0.79
% 0.54/0.79
% 0.54/0.79 % Terminating...
% 0.58/0.83 % Runner terminated.
% 0.58/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------