TSTP Solution File: GRP012-3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP012-3 : 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.w2SN5wcE9b true
% Computer : n015.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 01:49:29 EDT 2023
% Result : Unsatisfiable 0.21s 0.82s
% 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 : GRP012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.w2SN5wcE9b true
% 0.17/0.34 % Computer : n015.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Aug 29 00:23:10 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.82 % Solved by fo/fo3_bce.sh.
% 0.21/0.82 % BCE start: 9
% 0.21/0.82 % BCE eliminated: 0
% 0.21/0.82 % PE start: 9
% 0.21/0.82 logic: eq
% 0.21/0.82 % PE eliminated: 0
% 0.21/0.82 % done 312 iterations in 0.096s
% 0.21/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.82 % SZS output start Refutation
% 0.21/0.82 thf(inverse_type, type, inverse: $i > $i).
% 0.21/0.82 thf(product_type, type, product: $i > $i > $i > $o).
% 0.21/0.82 thf(b_type, type, b: $i).
% 0.21/0.82 thf(identity_type, type, identity: $i).
% 0.21/0.82 thf(a_type, type, a: $i).
% 0.21/0.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.21/0.82 thf(prove_inverse_of_product_is_product_of_inverses, conjecture,
% 0.21/0.82 (( inverse @ ( multiply @ a @ b ) ) =
% 0.21/0.82 ( multiply @ ( inverse @ b ) @ ( inverse @ a ) ))).
% 0.21/0.82 thf(zf_stmt_0, negated_conjecture,
% 0.21/0.82 (( inverse @ ( multiply @ a @ b ) ) !=
% 0.21/0.82 ( multiply @ ( inverse @ b ) @ ( inverse @ a ) )),
% 0.21/0.82 inference('cnf.neg', [status(esa)],
% 0.21/0.82 [prove_inverse_of_product_is_product_of_inverses])).
% 0.21/0.82 thf(zip_derived_cl8, plain,
% 0.21/0.82 (((inverse @ (multiply @ a @ b))
% 0.21/0.82 != (multiply @ (inverse @ b) @ (inverse @ a)))),
% 0.21/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.82 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.21/0.82 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.21/0.82 inference('cnf', [status(esa)], [left_identity])).
% 0.21/0.82 thf(left_inverse, axiom, (product @ ( inverse @ X ) @ X @ identity)).
% 0.21/0.82 thf(zip_derived_cl2, plain,
% 0.21/0.82 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 0.21/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 0.21/0.82 thf(associativity1, axiom,
% 0.21/0.82 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.21/0.82 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.21/0.82 thf(zip_derived_cl6, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.21/0.82 (~ (product @ X0 @ X1 @ X2)
% 0.21/0.82 | ~ (product @ X1 @ X3 @ X4)
% 0.21/0.82 | ~ (product @ X2 @ X3 @ X5)
% 0.21/0.82 | (product @ X0 @ X4 @ X5))),
% 0.21/0.82 inference('cnf', [status(esa)], [associativity1])).
% 0.21/0.82 thf(zip_derived_cl49, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.82 ( (product @ (inverse @ X0) @ X2 @ X1)
% 0.21/0.82 | ~ (product @ identity @ X3 @ X1)
% 0.21/0.82 | ~ (product @ X0 @ X3 @ X2))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 0.21/0.82 thf(zip_derived_cl218, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 (~ (product @ X2 @ X0 @ X1) | (product @ (inverse @ X2) @ X1 @ X0))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl49])).
% 0.21/0.82 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.21/0.82 thf(zip_derived_cl4, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [total_function1])).
% 0.21/0.82 thf(total_function2, axiom,
% 0.21/0.82 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.21/0.82 ( ( Z ) = ( W ) ))).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.82 (~ (product @ X0 @ X1 @ X2)
% 0.21/0.82 | ~ (product @ X0 @ X1 @ X3)
% 0.21/0.82 | ((X2) = (X3)))),
% 0.21/0.82 inference('cnf', [status(esa)], [total_function2])).
% 0.21/0.82 thf(zip_derived_cl39, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 (((multiply @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.21/0.82 thf(zip_derived_cl809, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.82 (~ (product @ X2 @ X0 @ X1)
% 0.21/0.82 | ((multiply @ (inverse @ X2) @ X1) = (X0)))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl39])).
% 0.21/0.82 thf(zip_derived_cl4, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [total_function1])).
% 0.21/0.82 thf(zip_derived_cl891, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 0.21/0.82 inference('sup+', [status(thm)], [zip_derived_cl809, zip_derived_cl4])).
% 0.21/0.82 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.21/0.82 thf(zip_derived_cl3, plain,
% 0.21/0.82 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.21/0.82 inference('cnf', [status(esa)], [right_inverse])).
% 0.21/0.82 thf(zip_derived_cl4, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [total_function1])).
% 0.21/0.82 thf(zip_derived_cl4, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.21/0.82 inference('cnf', [status(esa)], [total_function1])).
% 0.21/0.82 thf(zip_derived_cl6, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.21/0.82 (~ (product @ X0 @ X1 @ X2)
% 0.21/0.82 | ~ (product @ X1 @ X3 @ X4)
% 0.21/0.82 | ~ (product @ X2 @ X3 @ X5)
% 0.21/0.82 | (product @ X0 @ X4 @ X5))),
% 0.21/0.82 inference('cnf', [status(esa)], [associativity1])).
% 0.21/0.82 thf(zip_derived_cl45, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.21/0.82 ( (product @ X1 @ X3 @ X2)
% 0.21/0.82 | ~ (product @ (multiply @ X1 @ X0) @ X4 @ X2)
% 0.21/0.82 | ~ (product @ X0 @ X4 @ X3))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 0.21/0.82 thf(zip_derived_cl111, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.82 (~ (product @ X1 @ X0 @ X3)
% 0.21/0.82 | (product @ X2 @ X3 @ (multiply @ (multiply @ X2 @ X1) @ X0)))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl45])).
% 0.21/0.82 thf(zip_derived_cl533, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 (product @ X1 @ identity @
% 0.21/0.82 (multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl111])).
% 0.21/0.82 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.21/0.82 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.21/0.82 inference('cnf', [status(esa)], [right_identity])).
% 0.21/0.82 thf(zip_derived_cl5, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.82 (~ (product @ X0 @ X1 @ X2)
% 0.21/0.82 | ~ (product @ X0 @ X1 @ X3)
% 0.21/0.82 | ((X2) = (X3)))),
% 0.21/0.82 inference('cnf', [status(esa)], [total_function2])).
% 0.21/0.82 thf(zip_derived_cl40, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.21/0.82 thf(zip_derived_cl661, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 ((X1) = (multiply @ (multiply @ X1 @ X0) @ (inverse @ X0)))),
% 0.21/0.82 inference('sup-', [status(thm)], [zip_derived_cl533, zip_derived_cl40])).
% 0.21/0.82 thf(zip_derived_cl916, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 ((inverse @ X1) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))),
% 0.21/0.82 inference('sup+', [status(thm)], [zip_derived_cl891, zip_derived_cl661])).
% 0.21/0.82 thf(zip_derived_cl891, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 0.21/0.82 inference('sup+', [status(thm)], [zip_derived_cl809, zip_derived_cl4])).
% 0.21/0.82 thf(zip_derived_cl956, plain,
% 0.21/0.82 (![X0 : $i, X1 : $i]:
% 0.21/0.82 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.21/0.82 = (inverse @ (multiply @ X0 @ X1)))),
% 0.21/0.82 inference('sup+', [status(thm)], [zip_derived_cl916, zip_derived_cl891])).
% 0.21/0.82 thf(zip_derived_cl979, plain,
% 0.21/0.82 (((inverse @ (multiply @ a @ b)) != (inverse @ (multiply @ a @ b)))),
% 0.21/0.82 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl956])).
% 0.21/0.82 thf(zip_derived_cl980, plain, ($false),
% 0.21/0.82 inference('simplify', [status(thm)], [zip_derived_cl979])).
% 0.21/0.82
% 0.21/0.82 % SZS output end Refutation
% 0.21/0.82
% 0.21/0.82
% 0.21/0.82 % Terminating...
% 0.21/0.92 % Runner terminated.
% 2.03/0.94 % Zipperpin 1.5 exiting
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