%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP046-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EPwRLFQlxa true
% Computer : n019.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 Oct 2 04:35:31 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.94s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP046-2 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EPwRLFQlxa true
% 0.12/0.35 % Computer : n019.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 14:15:53 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 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
% 0.54/0.94 % Solved by fo/fo3_bce.sh.
% 0.54/0.94 % BCE start: 9
% 0.54/0.94 % BCE eliminated: 0
% 0.54/0.94 % PE start: 9
% 0.54/0.94 logic: neq
% 0.54/0.94 % PE eliminated: 1
% 0.54/0.94 % done 209 iterations in 0.179s
% 0.54/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.94 % SZS output start Refutation
% 0.54/0.94 thf(product_type, type, product: $i > $i > $i > $o).
% 0.54/0.94 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.54/0.94 thf(identity_type, type, identity: $i).
% 0.54/0.94 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.94 thf(a_type, type, a: $i).
% 0.54/0.94 thf(b_type, type, b: $i).
% 0.54/0.94 thf(c_type, type, c: $i).
% 0.54/0.94 thf(total_function2, axiom,
% 0.54/0.94 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.54/0.94 ( equalish @ Z @ W ))).
% 0.54/0.94 thf(zip_derived_cl3, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.94 | ~ (product @ X0 @ X1 @ X3)
% 0.54/0.94 | (equalish @ X2 @ X3))),
% 0.54/0.94 inference('cnf', [status(esa)], [total_function2])).
% 0.54/0.94 thf(prove_multiply_substitution1, conjecture,
% 0.54/0.94 (equalish @ ( multiply @ a @ c ) @ ( multiply @ b @ c ))).
% 0.54/0.94 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.94 (~( equalish @ ( multiply @ a @ c ) @ ( multiply @ b @ c ) )),
% 0.54/0.94 inference('cnf.neg', [status(esa)], [prove_multiply_substitution1])).
% 0.54/0.94 thf(zip_derived_cl8, plain,
% 0.54/0.94 (~ (equalish @ (multiply @ a @ c) @ (multiply @ b @ c))),
% 0.54/0.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.94 thf(zip_derived_cl10, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (product @ X1 @ X0 @ (multiply @ b @ c))
% 0.54/0.94 | ~ (product @ X1 @ X0 @ (multiply @ a @ c)))),
% 0.54/0.94 inference('dp-resolution', [status(thm)],
% 0.54/0.94 [zip_derived_cl3, zip_derived_cl8])).
% 0.54/0.94 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.54/0.94 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(a_equals_b, axiom, (equalish @ a @ b)).
% 0.54/0.94 thf(zip_derived_cl7, plain, ( (equalish @ a @ b)),
% 0.54/0.94 inference('cnf', [status(esa)], [a_equals_b])).
% 0.54/0.94 thf(product_substitution3, axiom,
% 0.54/0.94 (( ~( equalish @ X @ Y ) ) | ( ~( product @ W @ Z @ X ) ) |
% 0.54/0.94 ( product @ W @ Z @ Y ))).
% 0.54/0.94 thf(zip_derived_cl6, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 (~ (equalish @ X0 @ X1)
% 0.54/0.94 | ~ (product @ X2 @ X3 @ X0)
% 0.54/0.94 | (product @ X2 @ X3 @ X1))),
% 0.54/0.94 inference('cnf', [status(esa)], [product_substitution3])).
% 0.54/0.94 thf(zip_derived_cl11, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 ( (product @ X1 @ X0 @ b) | ~ (product @ X1 @ X0 @ a))),
% 0.54/0.94 inference('dp-resolution', [status(thm)],
% 0.54/0.94 [zip_derived_cl7, zip_derived_cl6])).
% 0.54/0.94 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.54/0.94 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.94 thf(associativity1, axiom,
% 0.54/0.94 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.54/0.94 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.54/0.94 thf(zip_derived_cl4, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.94 | ~ (product @ X1 @ X3 @ X4)
% 0.54/0.94 | ~ (product @ X2 @ X3 @ X5)
% 0.54/0.94 | (product @ X0 @ X4 @ X5))),
% 0.54/0.94 inference('cnf', [status(esa)], [associativity1])).
% 0.54/0.94 thf(zip_derived_cl18, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.94 ( (product @ identity @ X2 @ X1)
% 0.54/0.94 | ~ (product @ X0 @ X3 @ X1)
% 0.54/0.94 | ~ (product @ X0 @ X3 @ X2))),
% 0.54/0.94 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.54/0.94 thf(zip_derived_cl41, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (product @ identity @ X0 @ X1) | (product @ identity @ X1 @ X0))),
% 0.54/0.94 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl18])).
% 0.54/0.94 thf(zip_derived_cl46, plain,
% 0.54/0.94 (![X0 : $i]:
% 0.54/0.94 (~ (product @ identity @ X0 @ a) | (product @ identity @ b @ X0))),
% 0.54/0.94 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl41])).
% 0.54/0.94 thf(zip_derived_cl49, plain, ( (product @ identity @ b @ a)),
% 0.54/0.94 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl46])).
% 0.54/0.94 thf(associativity2, axiom,
% 0.54/0.94 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.54/0.94 ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 0.54/0.94 thf(zip_derived_cl5, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/0.94 (~ (product @ X0 @ X1 @ X2)
% 0.54/0.94 | ~ (product @ X1 @ X3 @ X4)
% 0.54/0.94 | ~ (product @ X0 @ X4 @ X5)
% 0.54/0.94 | (product @ X2 @ X3 @ X5))),
% 0.54/0.94 inference('cnf', [status(esa)], [associativity2])).
% 0.54/0.94 thf(zip_derived_cl53, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.94 ( (product @ a @ X1 @ X0)
% 0.54/0.94 | ~ (product @ identity @ X2 @ X0)
% 0.54/0.94 | ~ (product @ b @ X1 @ X2))),
% 0.54/0.94 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl5])).
% 0.54/0.94 thf(zip_derived_cl699, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]:
% 0.54/0.94 (~ (product @ b @ X1 @ X0) | (product @ a @ X1 @ X0))),
% 0.54/0.94 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl53])).
% 0.54/0.94 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.54/0.94 thf(zip_derived_cl2, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.54/0.94 inference('cnf', [status(esa)], [total_function1])).
% 0.54/0.94 thf(zip_derived_cl712, plain,
% 0.54/0.94 (![X0 : $i]: (product @ a @ X0 @ (multiply @ b @ X0))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl699, zip_derived_cl2])).
% 0.54/0.94 thf(zip_derived_cl750, plain, (~ (product @ a @ c @ (multiply @ a @ c))),
% 0.54/0.94 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl712])).
% 0.54/0.94 thf(zip_derived_cl2, plain,
% 0.54/0.94 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.54/0.94 inference('cnf', [status(esa)], [total_function1])).
% 0.54/0.94 thf(zip_derived_cl751, plain, ($false),
% 0.54/0.94 inference('demod', [status(thm)], [zip_derived_cl750, zip_derived_cl2])).
% 0.54/0.94
% 0.54/0.94 % SZS output end Refutation
% 0.54/0.94
% 0.54/0.94
% 0.54/0.94 % Terminating...
% 1.90/1.06 % Runner terminated.
% 1.90/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------