TSTP Solution File: GRP009-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP009-1 : 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.K45GrSYNoS true
% Computer : n013.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 01:49:28 EDT 2023
% Result : Unsatisfiable 0.53s 0.79s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K45GrSYNoS true
% 0.13/0.34 % Computer : n013.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 23:01:31 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.47/0.63 % Total configuration time : 435
% 0.47/0.63 % Estimated wc time : 1092
% 0.47/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.79 % Solved by fo/fo6_bce.sh.
% 0.53/0.79 % BCE start: 11
% 0.53/0.79 % BCE eliminated: 0
% 0.53/0.79 % PE start: 11
% 0.53/0.79 logic: eq
% 0.53/0.79 % PE eliminated: 0
% 0.53/0.79 % done 168 iterations in 0.081s
% 0.53/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.79 % SZS output start Refutation
% 0.53/0.79 thf(inverse_type, type, inverse: $i > $i).
% 0.53/0.79 thf(product_type, type, product: $i > $i > $i > $o).
% 0.53/0.79 thf(b_type, type, b: $i).
% 0.53/0.79 thf(identity_type, type, identity: $i).
% 0.53/0.79 thf(c_type, type, c: $i).
% 0.53/0.79 thf(a_type, type, a: $i).
% 0.53/0.79 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.53/0.79 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.53/0.79 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.53/0.79 inference('cnf', [status(esa)], [right_identity])).
% 0.53/0.79 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.53/0.79 thf(zip_derived_cl3, plain,
% 0.53/0.79 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.53/0.79 inference('cnf', [status(esa)], [right_inverse])).
% 0.53/0.79 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.53/0.79 thf(zip_derived_cl4, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function1])).
% 0.53/0.79 thf(a_is_an_inverse_of_b, axiom, (product @ a @ b @ identity)).
% 0.53/0.79 thf(zip_derived_cl8, plain, ( (product @ a @ b @ identity)),
% 0.53/0.79 inference('cnf', [status(esa)], [a_is_an_inverse_of_b])).
% 0.53/0.79 thf(total_function2, axiom,
% 0.53/0.79 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.53/0.79 ( ( Z ) = ( W ) ))).
% 0.53/0.79 thf(zip_derived_cl5, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.53/0.79 | ~ (product @ X0 @ X1 @ X3)
% 0.53/0.79 | ((X2) = (X3)))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function2])).
% 0.53/0.79 thf(zip_derived_cl49, plain,
% 0.53/0.79 (![X0 : $i]: (~ (product @ a @ b @ X0) | ((identity) = (X0)))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.53/0.79 thf(zip_derived_cl70, plain, (((identity) = (multiply @ a @ b))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl49])).
% 0.53/0.79 thf(zip_derived_cl4, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function1])).
% 0.53/0.79 thf(zip_derived_cl4, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function1])).
% 0.53/0.79 thf(associativity1, axiom,
% 0.53/0.79 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.53/0.79 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.53/0.79 thf(zip_derived_cl6, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.53/0.79 | ~ (product @ X1 @ X3 @ X4)
% 0.53/0.79 | ~ (product @ X2 @ X3 @ X5)
% 0.53/0.79 | (product @ X0 @ X4 @ X5))),
% 0.53/0.79 inference('cnf', [status(esa)], [associativity1])).
% 0.53/0.79 thf(zip_derived_cl60, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.53/0.79 (~ (product @ X0 @ X3 @ X2)
% 0.53/0.79 | ~ (product @ (multiply @ X1 @ X0) @ X3 @ X4)
% 0.53/0.79 | (product @ X1 @ X2 @ X4))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 0.53/0.79 thf(zip_derived_cl109, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.79 (~ (product @ X1 @ X0 @ X3)
% 0.53/0.79 | (product @ X2 @ X3 @ (multiply @ (multiply @ X2 @ X1) @ X0)))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl60])).
% 0.53/0.79 thf(zip_derived_cl348, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]:
% 0.53/0.79 (~ (product @ b @ X0 @ X1)
% 0.53/0.79 | (product @ a @ X1 @ (multiply @ identity @ X0)))),
% 0.53/0.79 inference('s_sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl109])).
% 0.53/0.79 thf(zip_derived_cl4, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function1])).
% 0.53/0.79 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.53/0.79 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.53/0.79 inference('cnf', [status(esa)], [left_identity])).
% 0.53/0.79 thf(zip_derived_cl5, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.53/0.79 | ~ (product @ X0 @ X1 @ X3)
% 0.53/0.79 | ((X2) = (X3)))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function2])).
% 0.53/0.79 thf(zip_derived_cl47, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]: (~ (product @ identity @ X0 @ X1) | ((X0) = (X1)))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 0.53/0.79 thf(zip_derived_cl86, plain,
% 0.53/0.79 (![X0 : $i]: ((X0) = (multiply @ identity @ X0))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl47])).
% 0.53/0.79 thf(zip_derived_cl352, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]:
% 0.53/0.79 (~ (product @ b @ X0 @ X1) | (product @ a @ X1 @ X0))),
% 0.53/0.79 inference('demod', [status(thm)], [zip_derived_cl348, zip_derived_cl86])).
% 0.53/0.79 thf(zip_derived_cl370, plain, ( (product @ a @ identity @ (inverse @ b))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl352])).
% 0.53/0.79 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.53/0.79 inference('cnf', [status(esa)], [right_identity])).
% 0.53/0.79 thf(zip_derived_cl5, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.53/0.79 | ~ (product @ X0 @ X1 @ X3)
% 0.53/0.79 | ((X2) = (X3)))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function2])).
% 0.53/0.79 thf(zip_derived_cl45, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ identity @ X1) | ((X0) = (X1)))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.53/0.79 thf(zip_derived_cl439, plain, (((a) = (inverse @ b))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl370, zip_derived_cl45])).
% 0.53/0.79 thf(zip_derived_cl3, plain,
% 0.53/0.79 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.53/0.79 inference('cnf', [status(esa)], [right_inverse])).
% 0.53/0.79 thf(zip_derived_cl458, plain, ( (product @ b @ a @ identity)),
% 0.53/0.79 inference('s_sup+', [status(thm)], [zip_derived_cl439, zip_derived_cl3])).
% 0.53/0.79 thf(c_is_an_inverse_of_b, axiom, (product @ c @ b @ identity)).
% 0.53/0.79 thf(zip_derived_cl9, plain, ( (product @ c @ b @ identity)),
% 0.53/0.79 inference('cnf', [status(esa)], [c_is_an_inverse_of_b])).
% 0.53/0.79 thf(associativity2, axiom,
% 0.53/0.79 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.53/0.79 ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 0.53/0.79 thf(zip_derived_cl7, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.53/0.79 | ~ (product @ X1 @ X3 @ X4)
% 0.53/0.79 | ~ (product @ X0 @ X4 @ X5)
% 0.53/0.79 | (product @ X2 @ X3 @ X5))),
% 0.53/0.79 inference('cnf', [status(esa)], [associativity2])).
% 0.53/0.79 thf(zip_derived_cl82, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.79 (~ (product @ b @ X1 @ X0)
% 0.53/0.79 | ~ (product @ c @ X0 @ X2)
% 0.53/0.79 | (product @ identity @ X1 @ X2))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl7])).
% 0.53/0.79 thf(zip_derived_cl488, plain,
% 0.53/0.79 (![X0 : $i]:
% 0.53/0.79 (~ (product @ c @ identity @ X0) | (product @ identity @ a @ X0))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl458, zip_derived_cl82])).
% 0.53/0.79 thf(zip_derived_cl571, plain, ( (product @ identity @ a @ c)),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl488])).
% 0.53/0.79 thf(zip_derived_cl4, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function1])).
% 0.53/0.79 thf(zip_derived_cl5, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.79 (~ (product @ X0 @ X1 @ X2)
% 0.53/0.79 | ~ (product @ X0 @ X1 @ X3)
% 0.53/0.79 | ((X2) = (X3)))),
% 0.53/0.79 inference('cnf', [status(esa)], [total_function2])).
% 0.53/0.79 thf(zip_derived_cl52, plain,
% 0.53/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.79 (~ (product @ X1 @ X0 @ X2) | ((multiply @ X1 @ X0) = (X2)))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.53/0.79 thf(zip_derived_cl578, plain, (((multiply @ identity @ a) = (c))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl571, zip_derived_cl52])).
% 0.53/0.79 thf(zip_derived_cl86, plain,
% 0.53/0.79 (![X0 : $i]: ((X0) = (multiply @ identity @ X0))),
% 0.53/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl47])).
% 0.53/0.79 thf(zip_derived_cl588, plain, (((a) = (c))),
% 0.53/0.79 inference('demod', [status(thm)], [zip_derived_cl578, zip_derived_cl86])).
% 0.53/0.79 thf(prove_a_equals_c, conjecture, (( a ) = ( c ))).
% 0.53/0.79 thf(zf_stmt_0, negated_conjecture, (( a ) != ( c )),
% 0.53/0.79 inference('cnf.neg', [status(esa)], [prove_a_equals_c])).
% 0.53/0.79 thf(zip_derived_cl10, plain, (((a) != (c))),
% 0.53/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.79 thf(zip_derived_cl589, plain, ($false),
% 0.53/0.79 inference('simplify_reflect-', [status(thm)],
% 0.53/0.79 [zip_derived_cl588, zip_derived_cl10])).
% 0.53/0.79
% 0.53/0.79 % SZS output end Refutation
% 0.53/0.79
% 0.53/0.79
% 0.53/0.79 % Terminating...
% 0.54/0.83 % Runner terminated.
% 0.54/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------