%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP031-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.77oTqGD9qz true
% Computer : n017.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 1.36s 1.06s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP031-2 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.77oTqGD9qz true
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:25:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 1.27/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.27/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.27/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.27/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/1.06 % Solved by fo/fo3_bce.sh.
% 1.36/1.06 % BCE start: 7
% 1.36/1.06 % BCE eliminated: 1
% 1.36/1.06 % PE start: 6
% 1.36/1.06 logic: neq
% 1.36/1.06 % PE eliminated: 0
% 1.36/1.06 % done 405 iterations in 0.306s
% 1.36/1.06 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/1.06 % SZS output start Refutation
% 1.36/1.06 thf(product_type, type, product: $i > $i > $i > $o).
% 1.36/1.06 thf(identity_type, type, identity: $i).
% 1.36/1.06 thf(a_type, type, a: $i).
% 1.36/1.06 thf(inverse_type, type, inverse: $i > $i).
% 1.36/1.06 thf(right_identity, axiom, (product @ A @ identity @ A)).
% 1.36/1.06 thf(zip_derived_cl5, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 1.36/1.06 inference('cnf', [status(esa)], [right_identity])).
% 1.36/1.06 thf(right_inverse, axiom, (product @ A @ ( inverse @ A ) @ identity)).
% 1.36/1.06 thf(zip_derived_cl4, plain,
% 1.36/1.06 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 1.36/1.06 inference('cnf', [status(esa)], [right_inverse])).
% 1.36/1.06 thf(zip_derived_cl4, plain,
% 1.36/1.06 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 1.36/1.06 inference('cnf', [status(esa)], [right_inverse])).
% 1.36/1.06 thf(associativity2, axiom,
% 1.36/1.06 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 1.36/1.06 ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 1.36/1.06 thf(zip_derived_cl3, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.36/1.06 (~ (product @ X0 @ X1 @ X2)
% 1.36/1.06 | ~ (product @ X1 @ X3 @ X4)
% 1.36/1.06 | ~ (product @ X0 @ X4 @ X5)
% 1.36/1.06 | (product @ X2 @ X3 @ X5))),
% 1.36/1.06 inference('cnf', [status(esa)], [associativity2])).
% 1.36/1.06 thf(zip_derived_cl14, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/1.06 ( (product @ identity @ X2 @ X1)
% 1.36/1.06 | ~ (product @ X0 @ X3 @ X1)
% 1.36/1.06 | ~ (product @ (inverse @ X0) @ X2 @ X3))),
% 1.36/1.06 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.36/1.06 thf(zip_derived_cl154, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 (~ (product @ X0 @ identity @ X1)
% 1.36/1.06 | (product @ identity @ (inverse @ (inverse @ X0)) @ X1))),
% 1.36/1.06 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl14])).
% 1.36/1.06 thf(zip_derived_cl679, plain,
% 1.36/1.06 (![X0 : $i]: (product @ identity @ (inverse @ (inverse @ X0)) @ X0)),
% 1.36/1.06 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl154])).
% 1.36/1.06 thf(zip_derived_cl4, plain,
% 1.36/1.06 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 1.36/1.06 inference('cnf', [status(esa)], [right_inverse])).
% 1.36/1.06 thf(zip_derived_cl5, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 1.36/1.06 inference('cnf', [status(esa)], [right_identity])).
% 1.36/1.06 thf(associativity1, axiom,
% 1.36/1.06 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 1.36/1.06 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 1.36/1.06 thf(zip_derived_cl2, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.36/1.06 (~ (product @ X0 @ X1 @ X2)
% 1.36/1.06 | ~ (product @ X1 @ X3 @ X4)
% 1.36/1.06 | ~ (product @ X2 @ X3 @ X5)
% 1.36/1.06 | (product @ X0 @ X4 @ X5))),
% 1.36/1.06 inference('cnf', [status(esa)], [associativity1])).
% 1.36/1.06 thf(zip_derived_cl9, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/1.06 ( (product @ X0 @ X2 @ X1)
% 1.36/1.06 | ~ (product @ X0 @ X3 @ X1)
% 1.36/1.06 | ~ (product @ identity @ X3 @ X2))),
% 1.36/1.06 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.36/1.06 thf(zip_derived_cl20, plain,
% 1.36/1.06 (![X0 : $i, X1 : $i]:
% 1.36/1.06 (~ (product @ identity @ (inverse @ X0) @ X1)
% 1.36/1.06 | (product @ X0 @ X1 @ identity))),
% 1.36/1.06 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl9])).
% 1.36/1.06 thf(zip_derived_cl1230, plain,
% 1.36/1.06 (![X0 : $i]: (product @ (inverse @ X0) @ X0 @ identity)),
% 1.36/1.06 inference('sup-', [status(thm)], [zip_derived_cl679, zip_derived_cl20])).
% 1.36/1.06 thf(prove_a_has_a_left_inverse, conjecture, (product @ A @ a @ identity)).
% 1.36/1.06 thf(zf_stmt_0, negated_conjecture, (~( product @ A @ a @ identity )),
% 1.36/1.06 inference('cnf.neg', [status(esa)], [prove_a_has_a_left_inverse])).
% 1.36/1.06 thf(zip_derived_cl6, plain, (![X0 : $i]: ~ (product @ X0 @ a @ identity)),
% 1.36/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/1.06 thf(zip_derived_cl1382, plain, ($false),
% 1.36/1.06 inference('sup-', [status(thm)], [zip_derived_cl1230, zip_derived_cl6])).
% 1.36/1.06
% 1.36/1.06 % SZS output end Refutation
% 1.36/1.06
% 1.36/1.06
% 1.36/1.06 % Terminating...
% 2.16/1.13 % Runner terminated.
% 2.16/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------