TSTP Solution File: GRP587-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP587-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dcPvRImPPu true
% Computer : n002.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 Aug 31 01:52:13 EDT 2023
% Result : Unsatisfiable 1.36s 0.89s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP587-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dcPvRImPPu true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 01:40:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.99/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.32/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.32/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.32/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.32/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.89 % Solved by fo/fo4.sh.
% 1.36/0.89 % done 63 iterations in 0.116s
% 1.36/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.89 % SZS output start Refutation
% 1.36/0.89 thf(inverse_type, type, inverse: $i > $i).
% 1.36/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.36/0.89 thf(b3_type, type, b3: $i).
% 1.36/0.89 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.36/0.89 thf(a3_type, type, a3: $i).
% 1.36/0.89 thf(c3_type, type, c3: $i).
% 1.36/0.89 thf(prove_these_axioms_3, conjecture,
% 1.36/0.89 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 1.36/0.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 1.36/0.89 thf(zf_stmt_0, negated_conjecture,
% 1.36/0.89 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.36/0.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 1.36/0.89 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 1.36/0.89 thf(zip_derived_cl2, plain,
% 1.36/0.89 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.36/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.36/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/0.89 thf(multiply, axiom,
% 1.36/0.89 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(single_axiom, axiom,
% 1.36/0.89 (( double_divide @
% 1.36/0.89 A @
% 1.36/0.89 ( inverse @
% 1.36/0.89 ( double_divide @
% 1.36/0.89 ( inverse @
% 1.36/0.89 ( double_divide @ ( double_divide @ A @ B ) @ ( inverse @ C ) ) ) @
% 1.36/0.89 B ) ) ) =
% 1.36/0.89 ( C ))).
% 1.36/0.89 thf(zip_derived_cl0, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((double_divide @ X1 @
% 1.36/0.89 (inverse @
% 1.36/0.89 (double_divide @
% 1.36/0.89 (inverse @
% 1.36/0.89 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 1.36/0.89 X2)))
% 1.36/0.89 = (X0))),
% 1.36/0.89 inference('cnf', [status(esa)], [single_axiom])).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(zip_derived_cl3, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((double_divide @ X1 @
% 1.36/0.89 (multiply @ X2 @
% 1.36/0.89 (multiply @ (inverse @ X0) @ (double_divide @ X1 @ X2))))
% 1.36/0.89 = (X0))),
% 1.36/0.89 inference('demod', [status(thm)],
% 1.36/0.89 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(zip_derived_cl5, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @
% 1.36/0.89 (multiply @ X1 @
% 1.36/0.89 (multiply @ (inverse @ X0) @ (double_divide @ X2 @ X1))) @
% 1.36/0.89 X2) = (inverse @ X0))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl3, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((double_divide @ X1 @
% 1.36/0.89 (multiply @ X2 @
% 1.36/0.89 (multiply @ (inverse @ X0) @ (double_divide @ X1 @ X2))))
% 1.36/0.89 = (X0))),
% 1.36/0.89 inference('demod', [status(thm)],
% 1.36/0.89 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl3, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((double_divide @ X1 @
% 1.36/0.89 (multiply @ X2 @
% 1.36/0.89 (multiply @ (inverse @ X0) @ (double_divide @ X1 @ X2))))
% 1.36/0.89 = (X0))),
% 1.36/0.89 inference('demod', [status(thm)],
% 1.36/0.89 [zip_derived_cl0, zip_derived_cl1, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl4, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.89 ((double_divide @ X3 @
% 1.36/0.89 (multiply @
% 1.36/0.89 (multiply @ X2 @
% 1.36/0.89 (multiply @ (inverse @ X0) @ (double_divide @ X3 @ X2))) @
% 1.36/0.89 (multiply @ (inverse @ X1) @ X0)))
% 1.36/0.89 = (X1))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.36/0.89 thf(zip_derived_cl97, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((double_divide @ (multiply @ (inverse @ X1) @ X0) @ (inverse @ X0))
% 1.36/0.89 = (X1))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(zip_derived_cl110, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X1))
% 1.36/0.89 = (inverse @ X0))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl128, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @ (inverse @ X2) @ (multiply @ (multiply @ X1 @ X0) @ X2))
% 1.36/0.89 = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl110])).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(zip_derived_cl130, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @ (inverse @ X2) @ (multiply @ (multiply @ X1 @ X0) @ X2))
% 1.36/0.89 = (multiply @ X1 @ X0))),
% 1.36/0.89 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl110, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ (inverse @ X1) @ (multiply @ (inverse @ X0) @ X1))
% 1.36/0.89 = (inverse @ X0))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl97, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((double_divide @ (multiply @ (inverse @ X1) @ X0) @ (inverse @ X0))
% 1.36/0.89 = (X1))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.36/0.89 thf(zip_derived_cl124, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((double_divide @ (inverse @ X0) @
% 1.36/0.89 (inverse @ (multiply @ (inverse @ X0) @ X1))) = (X1))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl97])).
% 1.36/0.89 thf(zip_derived_cl171, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((double_divide @ (inverse @ X2) @ (inverse @ (multiply @ X1 @ X0)))
% 1.36/0.89 = (multiply @ (multiply @ X1 @ X0) @ X2))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl124])).
% 1.36/0.89 thf(zip_derived_cl124, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((double_divide @ (inverse @ X0) @
% 1.36/0.89 (inverse @ (multiply @ (inverse @ X0) @ X1))) = (X1))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl97])).
% 1.36/0.89 thf(zip_derived_cl354, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl124])).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(zip_derived_cl5, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @
% 1.36/0.89 (multiply @ X1 @
% 1.36/0.89 (multiply @ (inverse @ X0) @ (double_divide @ X2 @ X1))) @
% 1.36/0.89 X2) = (inverse @ X0))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl9, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.89 ((multiply @
% 1.36/0.89 (multiply @ X3 @
% 1.36/0.89 (multiply @ (multiply @ X1 @ X0) @ (double_divide @ X2 @ X3))) @
% 1.36/0.89 X2) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(zip_derived_cl10, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.36/0.89 ((multiply @
% 1.36/0.89 (multiply @ X3 @
% 1.36/0.89 (multiply @ (multiply @ X1 @ X0) @ (double_divide @ X2 @ X3))) @
% 1.36/0.89 X2) = (multiply @ X1 @ X0))),
% 1.36/0.89 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl390, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 1.36/0.89 = (multiply @ (inverse @ (double_divide @ X2 @ X1)) @ X0))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl10])).
% 1.36/0.89 thf(zip_derived_cl1, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.36/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.36/0.89 thf(zip_derived_cl407, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 1.36/0.89 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 1.36/0.89 inference('demod', [status(thm)], [zip_derived_cl390, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl354, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl124])).
% 1.36/0.89 thf(zip_derived_cl584, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) = (X0))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl354])).
% 1.36/0.89 thf(zip_derived_cl407, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 1.36/0.89 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 1.36/0.89 inference('demod', [status(thm)], [zip_derived_cl390, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl743, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @ X0 @ X1)
% 1.36/0.89 = (multiply @ (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1) @
% 1.36/0.89 X0))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl584, zip_derived_cl407])).
% 1.36/0.89 thf(zip_derived_cl584, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]:
% 1.36/0.89 ((multiply @ (multiply @ (inverse @ X1) @ X1) @ X0) = (X0))),
% 1.36/0.89 inference('sup+', [status(thm)], [zip_derived_cl407, zip_derived_cl354])).
% 1.36/0.89 thf(zip_derived_cl768, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.36/0.89 inference('demod', [status(thm)], [zip_derived_cl743, zip_derived_cl584])).
% 1.36/0.89 thf(zip_derived_cl407, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.89 ((multiply @ (multiply @ X1 @ X0) @ X2)
% 1.36/0.89 = (multiply @ (multiply @ X1 @ X2) @ X0))),
% 1.36/0.89 inference('demod', [status(thm)], [zip_derived_cl390, zip_derived_cl1])).
% 1.36/0.89 thf(zip_derived_cl768, plain,
% 1.36/0.89 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.36/0.89 inference('demod', [status(thm)], [zip_derived_cl743, zip_derived_cl584])).
% 1.36/0.89 thf(zip_derived_cl771, plain,
% 1.36/0.89 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.36/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.36/0.89 inference('demod', [status(thm)],
% 1.36/0.89 [zip_derived_cl2, zip_derived_cl768, zip_derived_cl407,
% 1.36/0.89 zip_derived_cl768])).
% 1.36/0.89 thf(zip_derived_cl772, plain, ($false),
% 1.36/0.89 inference('simplify', [status(thm)], [zip_derived_cl771])).
% 1.36/0.89
% 1.36/0.89 % SZS output end Refutation
% 1.36/0.89
% 1.36/0.89
% 1.36/0.89 % Terminating...
% 1.64/0.94 % Runner terminated.
% 1.64/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------