TSTP Solution File: GRP012-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP012-2 : 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.ydXF45xizt true
% Computer : n023.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 0.54s 0.80s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP012-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ydXF45xizt true
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 02:06:10 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
% 0.52/0.62 % Total configuration time : 435
% 0.52/0.62 % Estimated wc time : 1092
% 0.52/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.80 % Solved by fo/fo5.sh.
% 0.54/0.80 % done 163 iterations in 0.050s
% 0.54/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.80 % SZS output start Refutation
% 0.54/0.80 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.80 thf(product_type, type, product: $i > $i > $i > $o).
% 0.54/0.80 thf(b_type, type, b: $i).
% 0.54/0.80 thf(identity_type, type, identity: $i).
% 0.54/0.80 thf(d_type, type, d: $i).
% 0.54/0.80 thf(c_type, type, c: $i).
% 0.54/0.80 thf(a_type, type, a: $i).
% 0.54/0.80 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.80 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.54/0.80 thf(zip_derived_cl4, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function1])).
% 0.54/0.80 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.54/0.80 thf(zip_derived_cl3, plain,
% 0.54/0.80 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.54/0.80 inference('cnf', [status(esa)], [right_inverse])).
% 0.54/0.80 thf(a_multiply_b_is_c, axiom, (product @ a @ b @ c)).
% 0.54/0.80 thf(zip_derived_cl8, plain, ( (product @ a @ b @ c)),
% 0.54/0.80 inference('cnf', [status(esa)], [a_multiply_b_is_c])).
% 0.54/0.80 thf(associativity1, axiom,
% 0.54/0.80 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.54/0.80 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.54/0.80 thf(zip_derived_cl6, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.80 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.80 | ~ (product @ X1 @ X3 @ X4)
% 0.54/0.80 | ~ (product @ X2 @ X3 @ X5)
% 0.54/0.80 | (product @ X0 @ X4 @ X5))),
% 0.54/0.80 inference('cnf', [status(esa)], [associativity1])).
% 0.54/0.80 thf(zip_derived_cl27, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.80 ( (product @ a @ X1 @ X0)
% 0.54/0.80 | ~ (product @ c @ X2 @ X0)
% 0.54/0.80 | ~ (product @ b @ X2 @ X1))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.54/0.80 thf(zip_derived_cl114, plain,
% 0.54/0.80 (![X0 : $i]:
% 0.54/0.80 (~ (product @ b @ (inverse @ c) @ X0) | (product @ a @ X0 @ identity))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl27])).
% 0.54/0.80 thf(zip_derived_cl176, plain,
% 0.54/0.80 ( (product @ a @ (multiply @ b @ (inverse @ c)) @ identity)),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl114])).
% 0.54/0.80 thf(zip_derived_cl4, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function1])).
% 0.54/0.80 thf(total_function2, axiom,
% 0.54/0.80 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.54/0.80 ( ( Z ) = ( W ) ))).
% 0.54/0.80 thf(zip_derived_cl5, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.80 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.80 | ~ (product @ X0 @ X1 @ X3)
% 0.54/0.80 | ((X2) = (X3)))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.80 thf(zip_derived_cl11, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.80 (((multiply @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.54/0.80 thf(zip_derived_cl192, plain,
% 0.54/0.80 (((multiply @ a @ (multiply @ b @ (inverse @ c))) = (identity))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl11])).
% 0.54/0.80 thf(zip_derived_cl3, plain,
% 0.54/0.80 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.54/0.80 inference('cnf', [status(esa)], [right_inverse])).
% 0.54/0.80 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.54/0.80 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.54/0.80 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.80 thf(zip_derived_cl3, plain,
% 0.54/0.80 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.54/0.80 inference('cnf', [status(esa)], [right_inverse])).
% 0.54/0.80 thf(zip_derived_cl6, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.80 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.80 | ~ (product @ X1 @ X3 @ X4)
% 0.54/0.80 | ~ (product @ X2 @ X3 @ X5)
% 0.54/0.80 | (product @ X0 @ X4 @ X5))),
% 0.54/0.80 inference('cnf', [status(esa)], [associativity1])).
% 0.54/0.80 thf(zip_derived_cl23, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.80 ( (product @ X0 @ X2 @ X1)
% 0.54/0.80 | ~ (product @ identity @ X3 @ X1)
% 0.54/0.80 | ~ (product @ (inverse @ X0) @ X3 @ X2))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.54/0.80 thf(zip_derived_cl200, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.80 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 0.54/0.80 thf(zip_derived_cl211, plain,
% 0.54/0.80 (![X0 : $i]: (product @ X0 @ identity @ (inverse @ (inverse @ X0)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl200])).
% 0.54/0.80 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.54/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.54/0.80 inference('cnf', [status(esa)], [right_identity])).
% 0.54/0.80 thf(zip_derived_cl5, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.80 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.80 | ~ (product @ X0 @ X1 @ X3)
% 0.54/0.80 | ((X2) = (X3)))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.80 thf(zip_derived_cl12, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.54/0.80 thf(zip_derived_cl230, plain,
% 0.54/0.80 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl211, zip_derived_cl12])).
% 0.54/0.80 thf(zip_derived_cl4, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function1])).
% 0.54/0.80 thf(zip_derived_cl200, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.80 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 0.54/0.80 thf(zip_derived_cl209, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]:
% 0.54/0.80 (product @ X1 @ (multiply @ (inverse @ X1) @ X0) @ X0)),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl200])).
% 0.54/0.80 thf(zip_derived_cl11, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.80 (((multiply @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.54/0.80 thf(zip_derived_cl299, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]:
% 0.54/0.80 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl11])).
% 0.54/0.80 thf(zip_derived_cl361, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]:
% 0.54/0.80 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl299])).
% 0.54/0.80 thf(zip_derived_cl426, plain,
% 0.54/0.80 (((multiply @ (inverse @ a) @ identity) = (multiply @ b @ (inverse @ c)))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl192, zip_derived_cl361])).
% 0.54/0.80 thf(zip_derived_cl4, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.54/0.80 inference('cnf', [status(esa)], [total_function1])).
% 0.54/0.80 thf(zip_derived_cl12, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.54/0.80 thf(zip_derived_cl32, plain,
% 0.54/0.80 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl12])).
% 0.54/0.80 thf(zip_derived_cl436, plain,
% 0.54/0.80 (((inverse @ a) = (multiply @ b @ (inverse @ c)))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl426, zip_derived_cl32])).
% 0.54/0.80 thf(zip_derived_cl361, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i]:
% 0.54/0.80 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl299])).
% 0.54/0.80 thf(zip_derived_cl457, plain,
% 0.54/0.80 (((multiply @ (inverse @ b) @ (inverse @ a)) = (inverse @ c))),
% 0.54/0.80 inference('sup+', [status(thm)], [zip_derived_cl436, zip_derived_cl361])).
% 0.54/0.80 thf(inverse_b_multiply_inverse_a_is_d, axiom,
% 0.54/0.80 (product @ ( inverse @ b ) @ ( inverse @ a ) @ d)).
% 0.54/0.80 thf(zip_derived_cl9, plain, ( (product @ (inverse @ b) @ (inverse @ a) @ d)),
% 0.54/0.80 inference('cnf', [status(esa)], [inverse_b_multiply_inverse_a_is_d])).
% 0.54/0.80 thf(zip_derived_cl11, plain,
% 0.54/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.80 (((multiply @ X1 @ X0) = (X2)) | ~ (product @ X1 @ X0 @ X2))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.54/0.80 thf(zip_derived_cl66, plain,
% 0.54/0.80 (((multiply @ (inverse @ b) @ (inverse @ a)) = (d))),
% 0.54/0.80 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl11])).
% 0.54/0.80 thf(zip_derived_cl460, plain, (((d) = (inverse @ c))),
% 0.54/0.80 inference('demod', [status(thm)], [zip_derived_cl457, zip_derived_cl66])).
% 0.54/0.80 thf(prove_c_inverse_equals_d, conjecture, (( inverse @ c ) = ( d ))).
% 0.54/0.80 thf(zf_stmt_0, negated_conjecture, (( inverse @ c ) != ( d )),
% 0.54/0.80 inference('cnf.neg', [status(esa)], [prove_c_inverse_equals_d])).
% 0.54/0.80 thf(zip_derived_cl10, plain, (((inverse @ c) != (d))),
% 0.54/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.80 thf(zip_derived_cl461, plain, ($false),
% 0.54/0.80 inference('simplify_reflect-', [status(thm)],
% 0.54/0.80 [zip_derived_cl460, zip_derived_cl10])).
% 0.54/0.80
% 0.54/0.80 % SZS output end Refutation
% 0.54/0.80
% 0.54/0.80
% 0.54/0.80 % Terminating...
% 0.54/0.83 % Runner terminated.
% 0.54/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------