%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP045-2 : 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.eURaq8i0dq true
% Computer : n018.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 0.56s 0.86s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP045-2 : TPTP v9.2.0. 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.eURaq8i0dq true
% 0.14/0.34 % Computer : n018.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 : Wed Oct 1 14:14:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/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
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.86 % Solved by fo/fo6_bce.sh.
% 0.56/0.86 % BCE start: 10
% 0.56/0.86 % BCE eliminated: 0
% 0.56/0.86 % PE start: 10
% 0.56/0.86 logic: neq
% 0.56/0.86 % PE eliminated: 1
% 0.56/0.86 % done 122 iterations in 0.134s
% 0.56/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.86 % SZS output start Refutation
% 0.56/0.86 thf(product_type, type, product: $i > $i > $i > $o).
% 0.56/0.86 thf(inverse_type, type, inverse: $i > $i).
% 0.56/0.86 thf(equalish_type, type, equalish: $i > $i > $o).
% 0.56/0.86 thf(identity_type, type, identity: $i).
% 0.56/0.86 thf(a_type, type, a: $i).
% 0.56/0.86 thf(b_type, type, b: $i).
% 0.56/0.86 thf(result_type, type, result: $i).
% 0.56/0.86 thf(c_type, type, c: $i).
% 0.56/0.86 thf(prove_product_with_b, conjecture, (product @ c @ b @ result)).
% 0.56/0.86 thf(zf_stmt_0, negated_conjecture, (~( product @ c @ b @ result )),
% 0.56/0.86 inference('cnf.neg', [status(esa)], [prove_product_with_b])).
% 0.56/0.86 thf(zip_derived_cl9, plain, (~ (product @ c @ b @ result)),
% 0.56/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.86 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.56/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.56/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.86 thf(left_inverse, axiom, (product @ ( inverse @ X ) @ X @ identity)).
% 0.56/0.86 thf(zip_derived_cl1, plain,
% 0.56/0.86 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 0.56/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.86 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.56/0.86 inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.86 thf(zip_derived_cl1, plain,
% 0.56/0.86 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 0.56/0.86 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/0.86 thf(associativity1, axiom,
% 0.56/0.86 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.56/0.86 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.56/0.86 thf(zip_derived_cl4, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.86 (~ (product @ X0 @ X1 @ X2)
% 0.56/0.86 | ~ (product @ X1 @ X3 @ X4)
% 0.56/0.86 | ~ (product @ X2 @ X3 @ X5)
% 0.56/0.86 | (product @ X0 @ X4 @ X5))),
% 0.56/0.86 inference('cnf', [status(esa)], [associativity1])).
% 0.56/0.86 thf(zip_derived_cl15, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.86 (~ (product @ X0 @ X2 @ X1)
% 0.56/0.86 | ~ (product @ identity @ X2 @ X3)
% 0.56/0.86 | (product @ (inverse @ X0) @ X1 @ X3))),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 0.56/0.86 thf(zip_derived_cl120, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.86 (~ (product @ X2 @ X0 @ X1) | (product @ (inverse @ X2) @ X1 @ X0))),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl15])).
% 0.56/0.86 thf(associativity2, axiom,
% 0.56/0.86 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.56/0.86 ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 0.56/0.86 thf(zip_derived_cl5, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.86 (~ (product @ X0 @ X1 @ X2)
% 0.56/0.86 | ~ (product @ X1 @ X3 @ X4)
% 0.56/0.86 | ~ (product @ X0 @ X4 @ X5)
% 0.56/0.86 | (product @ X2 @ X3 @ X5))),
% 0.56/0.86 inference('cnf', [status(esa)], [associativity2])).
% 0.56/0.86 thf(zip_derived_cl28, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.86 ( (product @ X0 @ X3 @ X0)
% 0.56/0.86 | ~ (product @ X2 @ X1 @ X0)
% 0.56/0.86 | ~ (product @ X1 @ X3 @ X1))),
% 0.56/0.86 inference('eq_fact', [status(thm)], [zip_derived_cl5])).
% 0.56/0.86 thf(zip_derived_cl331, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.86 (~ (product @ X2 @ X0 @ X1)
% 0.56/0.86 | (product @ X0 @ X3 @ X0)
% 0.56/0.86 | ~ (product @ X1 @ X3 @ X1))),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl28])).
% 0.56/0.86 thf(zip_derived_cl371, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i]:
% 0.56/0.86 ( (product @ X0 @ X1 @ X0) | ~ (product @ identity @ X1 @ identity))),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl331])).
% 0.56/0.86 thf(zip_derived_cl431, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl371])).
% 0.56/0.86 thf(zip_derived_cl431, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl371])).
% 0.56/0.86 thf(a_equals_b, axiom, (equalish @ a @ b)).
% 0.56/0.86 thf(zip_derived_cl7, plain, ( (equalish @ a @ b)),
% 0.56/0.86 inference('cnf', [status(esa)], [a_equals_b])).
% 0.56/0.86 thf(product_substitution3, axiom,
% 0.56/0.86 (( ~( equalish @ X @ Y ) ) | ( ~( product @ W @ Z @ X ) ) |
% 0.56/0.86 ( product @ W @ Z @ Y ))).
% 0.56/0.86 thf(zip_derived_cl6, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.86 (~ (equalish @ X0 @ X1)
% 0.56/0.86 | ~ (product @ X2 @ X3 @ X0)
% 0.56/0.86 | (product @ X2 @ X3 @ X1))),
% 0.56/0.86 inference('cnf', [status(esa)], [product_substitution3])).
% 0.56/0.86 thf(zip_derived_cl11, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i]:
% 0.56/0.86 ( (product @ X1 @ X0 @ b) | ~ (product @ X1 @ X0 @ a))),
% 0.56/0.86 inference('dp-resolution', [status(thm)],
% 0.56/0.86 [zip_derived_cl7, zip_derived_cl6])).
% 0.56/0.86 thf(product_with_a, axiom, (product @ c @ a @ result)).
% 0.56/0.86 thf(zip_derived_cl8, plain, ( (product @ c @ a @ result)),
% 0.56/0.86 inference('cnf', [status(esa)], [product_with_a])).
% 0.56/0.86 thf(zip_derived_cl4, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.86 (~ (product @ X0 @ X1 @ X2)
% 0.56/0.86 | ~ (product @ X1 @ X3 @ X4)
% 0.56/0.86 | ~ (product @ X2 @ X3 @ X5)
% 0.56/0.86 | (product @ X0 @ X4 @ X5))),
% 0.56/0.86 inference('cnf', [status(esa)], [associativity1])).
% 0.56/0.86 thf(zip_derived_cl16, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.86 (~ (product @ a @ X1 @ X0)
% 0.56/0.86 | ~ (product @ result @ X1 @ X2)
% 0.56/0.86 | (product @ c @ X0 @ X2))),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl4])).
% 0.56/0.86 thf(zip_derived_cl21, plain,
% 0.56/0.86 (![X0 : $i, X1 : $i]:
% 0.56/0.86 (~ (product @ a @ X0 @ a)
% 0.56/0.86 | ~ (product @ result @ X0 @ X1)
% 0.56/0.86 | (product @ c @ b @ X1))),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl16])).
% 0.56/0.86 thf(zip_derived_cl477, plain,
% 0.56/0.86 (![X0 : $i]:
% 0.56/0.86 (~ (product @ result @ identity @ X0) | (product @ c @ b @ X0))),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl431, zip_derived_cl21])).
% 0.56/0.86 thf(zip_derived_cl490, plain, ( (product @ c @ b @ result)),
% 0.56/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl431, zip_derived_cl477])).
% 0.56/0.86 thf(zip_derived_cl493, plain, ($false),
% 0.56/0.86 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl490])).
% 0.56/0.86
% 0.56/0.86 % SZS output end Refutation
% 0.56/0.86
% 0.56/0.86
% 0.56/0.86 % Terminating...
% 0.62/0.95 % Runner terminated.
% 0.62/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------