%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP012-3 : 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.JVNSAfxtSJ true
% Computer : n004.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 04:35:25 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.87s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP012-3 : TPTP v9.2.0. Released v1.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JVNSAfxtSJ true
% 0.14/0.34 % Computer : n004.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 14:14:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.66 % Total configuration time : 435
% 0.55/0.66 % Estimated wc time : 1092
% 0.55/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.87 % Solved by fo/fo13.sh.
% 0.58/0.87 % done 114 iterations in 0.060s
% 0.58/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.87 % SZS output start Refutation
% 0.58/0.87 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.87 thf(product_type, type, product: $i > $i > $i > $o).
% 0.58/0.87 thf(b_type, type, b: $i).
% 0.58/0.87 thf(identity_type, type, identity: $i).
% 0.58/0.87 thf(a_type, type, a: $i).
% 0.58/0.87 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.87 thf(prove_inverse_of_product_is_product_of_inverses, conjecture,
% 0.58/0.87 (( inverse @ ( multiply @ a @ b ) ) =
% 0.58/0.87 ( multiply @ ( inverse @ b ) @ ( inverse @ a ) ))).
% 0.58/0.87 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.87 (( inverse @ ( multiply @ a @ b ) ) !=
% 0.58/0.87 ( multiply @ ( inverse @ b ) @ ( inverse @ a ) )),
% 0.58/0.87 inference('cnf.neg', [status(esa)],
% 0.58/0.87 [prove_inverse_of_product_is_product_of_inverses])).
% 0.58/0.87 thf(zip_derived_cl8, plain,
% 0.58/0.87 (((inverse @ (multiply @ a @ b))
% 0.58/0.87 != (multiply @ (inverse @ b) @ (inverse @ a)))),
% 0.58/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.87 thf(right_inverse, axiom, (product @ X @ ( inverse @ X ) @ identity)).
% 0.58/0.87 thf(zip_derived_cl3, plain,
% 0.58/0.87 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.58/0.87 inference('cnf', [status(esa)], [right_inverse])).
% 0.58/0.87 thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.58/0.87 thf(zip_derived_cl4, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/0.87 inference('cnf', [status(esa)], [total_function1])).
% 0.58/0.87 thf(associativity1, axiom,
% 0.58/0.87 (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) |
% 0.58/0.87 ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.58/0.87 thf(zip_derived_cl6, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/0.87 (~ (product @ X0 @ X1 @ X2)
% 0.58/0.87 | ~ (product @ X1 @ X3 @ X4)
% 0.58/0.87 | ~ (product @ X2 @ X3 @ X5)
% 0.58/0.87 | (product @ X0 @ X4 @ X5))),
% 0.58/0.87 inference('cnf', [status(esa)], [associativity1])).
% 0.58/0.87 thf(zip_derived_cl14, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.87 (~ (product @ X0 @ X3 @ X2)
% 0.58/0.87 | ~ (product @ (multiply @ X1 @ X0) @ X3 @ X4)
% 0.58/0.87 | (product @ X1 @ X2 @ X4))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 0.58/0.87 thf(zip_derived_cl61, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 (~ (product @ X0 @ (inverse @ (multiply @ X1 @ X0)) @ X2)
% 0.58/0.87 | (product @ X1 @ X2 @ identity))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 0.58/0.87 thf(zip_derived_cl4, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/0.87 inference('cnf', [status(esa)], [total_function1])).
% 0.58/0.87 thf(zip_derived_cl69, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 (product @ X1 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))) @
% 0.58/0.87 identity)),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl4])).
% 0.58/0.87 thf(zip_derived_cl4, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/0.87 inference('cnf', [status(esa)], [total_function1])).
% 0.58/0.87 thf(total_function2, axiom,
% 0.58/0.87 (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) |
% 0.58/0.87 ( ( Z ) = ( W ) ))).
% 0.58/0.87 thf(zip_derived_cl5, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.87 (~ (product @ X0 @ X1 @ X2)
% 0.58/0.87 | ~ (product @ X0 @ X1 @ X3)
% 0.58/0.87 | ((X2) = (X3)))),
% 0.58/0.87 inference('cnf', [status(esa)], [total_function2])).
% 0.58/0.87 thf(zip_derived_cl9, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 (~ (product @ X1 @ X0 @ X2) | ((multiply @ X1 @ X0) = (X2)))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.58/0.87 thf(zip_derived_cl89, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))
% 0.58/0.87 = (identity))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl9])).
% 0.58/0.87 thf(zip_derived_cl3, plain,
% 0.58/0.87 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.58/0.87 inference('cnf', [status(esa)], [right_inverse])).
% 0.58/0.87 thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.58/0.87 thf(zip_derived_cl0, plain, (![X0 : $i]: (product @ identity @ X0 @ X0)),
% 0.58/0.87 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.87 thf(zip_derived_cl3, plain,
% 0.58/0.87 (![X0 : $i]: (product @ X0 @ (inverse @ X0) @ identity)),
% 0.58/0.87 inference('cnf', [status(esa)], [right_inverse])).
% 0.58/0.87 thf(zip_derived_cl6, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/0.87 (~ (product @ X0 @ X1 @ X2)
% 0.58/0.87 | ~ (product @ X1 @ X3 @ X4)
% 0.58/0.87 | ~ (product @ X2 @ X3 @ X5)
% 0.58/0.87 | (product @ X0 @ X4 @ X5))),
% 0.58/0.87 inference('cnf', [status(esa)], [associativity1])).
% 0.58/0.87 thf(zip_derived_cl16, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.87 (~ (product @ (inverse @ X0) @ X2 @ X1)
% 0.58/0.87 | ~ (product @ identity @ X2 @ X3)
% 0.58/0.87 | (product @ X0 @ X1 @ X3))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 0.58/0.87 thf(zip_derived_cl164, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl16])).
% 0.58/0.87 thf(zip_derived_cl178, plain,
% 0.58/0.87 (![X0 : $i]: (product @ X0 @ identity @ (inverse @ (inverse @ X0)))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl164])).
% 0.58/0.87 thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.58/0.87 thf(zip_derived_cl1, plain, (![X0 : $i]: (product @ X0 @ identity @ X0)),
% 0.58/0.87 inference('cnf', [status(esa)], [right_identity])).
% 0.58/0.87 thf(zip_derived_cl5, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.87 (~ (product @ X0 @ X1 @ X2)
% 0.58/0.87 | ~ (product @ X0 @ X1 @ X3)
% 0.58/0.87 | ((X2) = (X3)))),
% 0.58/0.87 inference('cnf', [status(esa)], [total_function2])).
% 0.58/0.87 thf(zip_derived_cl10, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ identity @ X1) | ((X0) = (X1)))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.58/0.87 thf(zip_derived_cl186, plain,
% 0.58/0.87 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl10])).
% 0.58/0.87 thf(zip_derived_cl4, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/0.87 inference('cnf', [status(esa)], [total_function1])).
% 0.58/0.87 thf(zip_derived_cl164, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 (~ (product @ (inverse @ X2) @ X0 @ X1) | (product @ X2 @ X1 @ X0))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl16])).
% 0.58/0.87 thf(zip_derived_cl176, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 (product @ X1 @ (multiply @ (inverse @ X1) @ X0) @ X0)),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl164])).
% 0.58/0.87 thf(zip_derived_cl9, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 (~ (product @ X1 @ X0 @ X2) | ((multiply @ X1 @ X0) = (X2)))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.58/0.87 thf(zip_derived_cl227, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl9])).
% 0.58/0.87 thf(zip_derived_cl265, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl227])).
% 0.58/0.87 thf(zip_derived_cl336, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((multiply @ (inverse @ X1) @ identity)
% 0.58/0.87 = (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl265])).
% 0.58/0.87 thf(zip_derived_cl4, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]: (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.58/0.87 inference('cnf', [status(esa)], [total_function1])).
% 0.58/0.87 thf(zip_derived_cl10, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]: (~ (product @ X0 @ identity @ X1) | ((X0) = (X1)))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.58/0.87 thf(zip_derived_cl19, plain,
% 0.58/0.87 (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 0.58/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 0.58/0.87 thf(zip_derived_cl343, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((inverse @ X1) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))),
% 0.58/0.87 inference('demod', [status(thm)], [zip_derived_cl336, zip_derived_cl19])).
% 0.58/0.87 thf(zip_derived_cl265, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((multiply @ (inverse @ X0) @ (multiply @ X0 @ X1)) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl227])).
% 0.58/0.87 thf(zip_derived_cl401, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((multiply @ (inverse @ X1) @ (inverse @ X0))
% 0.58/0.87 = (inverse @ (multiply @ X0 @ X1)))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl343, zip_derived_cl265])).
% 0.58/0.87 thf(zip_derived_cl468, plain,
% 0.58/0.87 (((inverse @ (multiply @ a @ b)) != (inverse @ (multiply @ a @ b)))),
% 0.58/0.87 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl401])).
% 0.58/0.87 thf(zip_derived_cl469, plain, ($false),
% 0.58/0.87 inference('simplify', [status(thm)], [zip_derived_cl468])).
% 0.58/0.87
% 0.58/0.87 % SZS output end Refutation
% 0.58/0.87
% 0.58/0.87
% 0.58/0.87 % Terminating...
% 0.60/0.96 % Runner terminated.
% 0.60/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------