%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP449-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UQohhaz0LH true
% Computer : n021.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 04:36:28 PM UTC 2025
% Result : Unsatisfiable 0.47s 0.74s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP449-1 : TPTP v9.2.0. Released v2.6.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UQohhaz0LH true
% 0.10/0.31 % Computer : n021.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
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Wed Oct 1 14:05:38 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % Running portfolio for 300 s
% 0.16/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.32 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.44/0.56 % Total configuration time : 435
% 0.44/0.56 % Estimated wc time : 1092
% 0.44/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.74 % Solved by fo/fo4.sh.
% 0.47/0.74 % done 25 iterations in 0.032s
% 0.47/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.74 % SZS output start Refutation
% 0.47/0.74 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.47/0.74 thf(a2_type, type, a2: $i).
% 0.47/0.74 thf(b2_type, type, b2: $i).
% 0.47/0.74 thf(divide_type, type, divide: $i > $i > $i).
% 0.47/0.74 thf(inverse_type, type, inverse: $i > $i).
% 0.47/0.74 thf(prove_these_axioms_2, conjecture,
% 0.47/0.74 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.47/0.74 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.74 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.47/0.74 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.47/0.74 thf(zip_derived_cl3, plain,
% 0.47/0.74 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.47/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.74 thf(multiply, axiom,
% 0.47/0.74 (( multiply @ A @ B ) =
% 0.47/0.74 ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 0.47/0.74 thf(zip_derived_cl1, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((multiply @ X0 @ X2)
% 0.47/0.74 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.47/0.74 inference('cnf', [status(esa)], [multiply])).
% 0.47/0.74 thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(zip_derived_cl6, plain,
% 0.47/0.74 (![X0 : $i, X2 : $i]:
% 0.47/0.74 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl6, plain,
% 0.47/0.74 (![X0 : $i, X2 : $i]:
% 0.47/0.74 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(zip_derived_cl8, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ (inverse @ X0)) = (multiply @ (divide @ X1 @ X1) @ X0))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl21, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ (inverse @ X1))
% 0.47/0.74 = (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl8])).
% 0.47/0.74 thf(zip_derived_cl84, plain, (((inverse @ (inverse @ a2)) != (a2))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl21])).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(single_axiom, axiom,
% 0.47/0.74 (( divide @
% 0.47/0.74 A @
% 0.47/0.74 ( divide @
% 0.47/0.74 ( divide @ ( divide @ ( divide @ B @ B ) @ B ) @ C ) @
% 0.47/0.74 ( divide @ ( divide @ ( divide @ B @ B ) @ A ) @ C ) ) ) =
% 0.47/0.74 ( B ))).
% 0.47/0.74 thf(zip_derived_cl0, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((divide @ X1 @
% 0.47/0.74 (divide @ (divide @ (divide @ (divide @ X0 @ X0) @ X0) @ X2) @
% 0.47/0.74 (divide @ (divide @ (divide @ X0 @ X0) @ X1) @ X2)))
% 0.47/0.74 = (X0))),
% 0.47/0.74 inference('cnf', [status(esa)], [single_axiom])).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(zip_derived_cl9, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((divide @ X1 @
% 0.47/0.74 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.47/0.74 (divide @ (inverse @ X1) @ X2)))
% 0.47/0.74 = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl13, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((divide @ X1 @ (inverse @ (divide @ (inverse @ X1) @ (inverse @ X0))))
% 0.47/0.74 = (X0))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 0.47/0.74 thf(zip_derived_cl6, plain,
% 0.47/0.74 (![X0 : $i, X2 : $i]:
% 0.47/0.74 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl6, plain,
% 0.47/0.74 (![X0 : $i, X2 : $i]:
% 0.47/0.74 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl18, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 0.47/0.74 thf(zip_derived_cl18, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 0.47/0.74 thf(zip_derived_cl24, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl18])).
% 0.47/0.74 thf(zip_derived_cl24, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl18])).
% 0.47/0.74 thf(zip_derived_cl18, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl13, zip_derived_cl6, zip_derived_cl6])).
% 0.47/0.74 thf(zip_derived_cl27, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)) = (X0))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl18])).
% 0.47/0.74 thf(zip_derived_cl6, plain,
% 0.47/0.74 (![X0 : $i, X2 : $i]:
% 0.47/0.74 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl9, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((divide @ X1 @
% 0.47/0.74 (divide @ (divide @ (inverse @ X0) @ X2) @
% 0.47/0.74 (divide @ (inverse @ X1) @ X2)))
% 0.47/0.74 = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(zip_derived_cl10, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.74 ((inverse @
% 0.47/0.74 (divide @ (divide @ (inverse @ X0) @ X1) @
% 0.47/0.74 (divide @ (inverse @ (divide @ X2 @ X2)) @ X1)))
% 0.47/0.74 = (X0))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(zip_derived_cl2, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.47/0.74 inference('cnf', [status(esa)], [inverse])).
% 0.47/0.74 thf(zip_derived_cl4, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl6, plain,
% 0.47/0.74 (![X0 : $i, X2 : $i]:
% 0.47/0.74 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.47/0.74 thf(zip_derived_cl46, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ (multiply @ (divide @ (inverse @ X0) @ X1) @ X1)) = (X0))),
% 0.47/0.74 inference('demod', [status(thm)],
% 0.47/0.74 [zip_derived_cl10, zip_derived_cl4, zip_derived_cl6])).
% 0.47/0.74 thf(zip_derived_cl56, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @
% 0.47/0.74 (multiply @ (multiply @ (inverse @ X1) @ X0) @ (inverse @ X0)))
% 0.47/0.74 = (X1))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl46])).
% 0.47/0.74 thf(zip_derived_cl108, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))) = (X1))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl56])).
% 0.47/0.74 thf(zip_derived_cl135, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))
% 0.47/0.74 = (inverse @ (inverse @ X1)))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl108])).
% 0.47/0.74 thf(zip_derived_cl108, plain,
% 0.47/0.74 (![X0 : $i, X1 : $i]:
% 0.47/0.74 ((inverse @ (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0)))) = (X1))),
% 0.47/0.74 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl56])).
% 0.47/0.74 thf(zip_derived_cl137, plain,
% 0.47/0.74 (![X1 : $i]: ((X1) = (inverse @ (inverse @ X1)))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl135, zip_derived_cl108])).
% 0.47/0.74 thf(zip_derived_cl155, plain, (((a2) != (a2))),
% 0.47/0.74 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl137])).
% 0.47/0.74 thf(zip_derived_cl156, plain, ($false),
% 0.47/0.74 inference('simplify', [status(thm)], [zip_derived_cl155])).
% 0.47/0.74
% 0.47/0.74 % SZS output end Refutation
% 0.47/0.74
% 0.47/0.74
% 0.47/0.74 % Terminating...
% 0.52/0.79 % Runner terminated.
% 0.52/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------