%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP031-1 : 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.UYcsXUhvYy 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 04:35:28 PM UTC 2025
% Result : Unsatisfiable 0.48s 0.76s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP031-1 : TPTP v9.2.0. Released v1.0.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UYcsXUhvYy true
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:15:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.44/0.58 % Total configuration time : 435
% 0.44/0.58 % Estimated wc time : 1092
% 0.44/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.76 % Solved by fo/fo5.sh.
% 0.48/0.76 % done 127 iterations in 0.056s
% 0.48/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.76 % SZS output start Refutation
% 0.48/0.76 thf(product_type, type, product: $i > $i > $i > $o).
% 0.48/0.76 thf(a_type, type, a: $i).
% 0.48/0.76 thf(identity_type, type, identity: $i).
% 0.48/0.76 thf(inverse_type, type, inverse: $i > $i).
% 0.48/0.76 thf(left_identity, axiom, (product @ identity @ A @ A)).
% 0.48/0.76 thf(zip_derived_cl4, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.48/0.76 inference('cnf', [status(esa)], [left_identity])).
% 0.48/0.76 thf(left_inverse, axiom, (product @ ( inverse @ A ) @ A @ identity)).
% 0.48/0.76 thf(zip_derived_cl5, plain,
% 0.48/0.76 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 0.48/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 0.48/0.76 thf(zip_derived_cl4, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.48/0.76 inference('cnf', [status(esa)], [left_identity])).
% 0.48/0.76 thf(zip_derived_cl5, plain,
% 0.48/0.76 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 0.48/0.76 inference('cnf', [status(esa)], [left_inverse])).
% 0.48/0.76 thf(associativity1, axiom,
% 0.48/0.76 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.48/0.76 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.48/0.76 thf(zip_derived_cl2, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.48/0.76 (~ (product @ X0 @ X1 @ X2)
% 0.48/0.76 | ~ (product @ X1 @ X3 @ X4)
% 0.48/0.76 | ~ (product @ X2 @ X3 @ X5)
% 0.48/0.76 | (product @ X0 @ X4 @ X5))),
% 0.48/0.76 inference('cnf', [status(esa)], [associativity1])).
% 0.48/0.76 thf(zip_derived_cl13, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 ( (product @ (inverse @ X0) @ X2 @ X1)
% 0.48/0.76 | ~ (product @ identity @ X3 @ X1)
% 0.48/0.76 | ~ (product @ X0 @ X3 @ X2))),
% 0.48/0.76 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 0.48/0.76 thf(zip_derived_cl56, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.76 (~ (product @ X2 @ X0 @ X1) | (product @ (inverse @ X2) @ X1 @ X0))),
% 0.48/0.76 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl13])).
% 0.48/0.76 thf(zip_derived_cl86, plain,
% 0.48/0.76 (![X0 : $i]: (product @ (inverse @ (inverse @ X0)) @ identity @ X0)),
% 0.48/0.76 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl56])).
% 0.48/0.76 thf(associativity2, axiom,
% 0.48/0.76 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.48/0.76 ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 0.48/0.76 thf(zip_derived_cl3, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.48/0.76 (~ (product @ X0 @ X1 @ X2)
% 0.48/0.76 | ~ (product @ X1 @ X3 @ X4)
% 0.48/0.76 | ~ (product @ X0 @ X4 @ X5)
% 0.48/0.76 | (product @ X2 @ X3 @ X5))),
% 0.48/0.76 inference('cnf', [status(esa)], [associativity2])).
% 0.48/0.76 thf(zip_derived_cl27, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 ( (product @ X0 @ X3 @ X0)
% 0.48/0.76 | ~ (product @ X2 @ X1 @ X0)
% 0.48/0.76 | ~ (product @ X1 @ X3 @ X1))),
% 0.48/0.76 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 0.48/0.76 thf(zip_derived_cl208, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]:
% 0.48/0.76 (~ (product @ identity @ X1 @ identity) | (product @ X0 @ X1 @ X0))),
% 0.48/0.76 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl27])).
% 0.48/0.76 thf(zip_derived_cl214, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.48/0.76 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl208])).
% 0.48/0.76 thf(zip_derived_cl86, plain,
% 0.48/0.76 (![X0 : $i]: (product @ (inverse @ (inverse @ X0)) @ identity @ X0)),
% 0.48/0.76 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl56])).
% 0.48/0.76 thf(total_function2, axiom,
% 0.48/0.76 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.48/0.76 ( ( Z ) = ( W ) ))).
% 0.48/0.76 thf(zip_derived_cl1, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.76 (~ (product @ X0 @ X1 @ X2)
% 0.48/0.76 | ~ (product @ X0 @ X1 @ X3)
% 0.48/0.76 | ((X2) = (X3)))),
% 0.48/0.76 inference('cnf', [status(esa)], [total_function2])).
% 0.48/0.76 thf(zip_derived_cl112, plain,
% 0.48/0.76 (![X0 : $i, X1 : $i]:
% 0.48/0.76 (((X0) = (X1))
% 0.48/0.76 | ~ (product @ (inverse @ (inverse @ X0)) @ identity @ X1))),
% 0.48/0.76 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl1])).
% 0.48/0.76 thf(zip_derived_cl238, plain,
% 0.48/0.76 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.48/0.76 inference('sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl112])).
% 0.48/0.77 thf(zip_derived_cl5, plain,
% 0.48/0.77 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 0.48/0.77 inference('cnf', [status(esa)], [left_inverse])).
% 0.48/0.77 thf(zip_derived_cl257, plain,
% 0.48/0.77 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.48/0.77 inference('sup+', [status(thm)], [zip_derived_cl238, zip_derived_cl5])).
% 0.48/0.77 thf(prove_a_has_an_inverse, conjecture, (product @ a @ A @ identity)).
% 0.48/0.77 thf(zf_stmt_0, negated_conjecture, (~( product @ a @ A @ identity )),
% 0.48/0.77 inference('cnf.neg', [status(esa)], [prove_a_has_an_inverse])).
% 0.48/0.77 thf(zip_derived_cl6, plain, (![X0 : $i]: ~ (product @ a @ X0 @ identity)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.77 thf(zip_derived_cl324, plain, ($false),
% 0.48/0.77 inference('sup-', [status(thm)], [zip_derived_cl257, zip_derived_cl6])).
% 0.48/0.77
% 0.48/0.77 % SZS output end Refutation
% 0.48/0.77
% 0.48/0.77
% 0.48/0.77 % Terminating...
% 0.52/0.88 % Runner terminated.
% 0.52/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------