TSTP Solution File: GRP588-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP588-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4ZZJjowPtT true
% Computer : n025.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 1.35s 0.86s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP588-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4ZZJjowPtT true
% 0.13/0.34 % Computer : n025.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 : Mon Aug 28 23:35:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.74/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.86 % Solved by fo/fo13.sh.
% 1.35/0.86 % done 29 iterations in 0.085s
% 1.35/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.86 % SZS output start Refutation
% 1.35/0.86 thf(inverse_type, type, inverse: $i > $i).
% 1.35/0.86 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.35/0.86 thf(b_type, type, b: $i).
% 1.35/0.86 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.35/0.86 thf(a_type, type, a: $i).
% 1.35/0.86 thf(prove_these_axioms_4, conjecture,
% 1.35/0.86 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 1.35/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.35/0.86 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 1.35/0.86 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 1.35/0.86 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 1.35/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/0.86 thf(multiply, axiom,
% 1.35/0.86 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 1.35/0.86 thf(zip_derived_cl1, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.35/0.86 inference('cnf', [status(esa)], [multiply])).
% 1.35/0.86 thf(zip_derived_cl1, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 1.35/0.86 inference('cnf', [status(esa)], [multiply])).
% 1.35/0.86 thf(zip_derived_cl3, plain,
% 1.35/0.86 (((inverse @ (double_divide @ b @ a))
% 1.35/0.86 != (inverse @ (double_divide @ a @ b)))),
% 1.35/0.86 inference('demod', [status(thm)],
% 1.35/0.86 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 1.35/0.86 thf(single_axiom, axiom,
% 1.35/0.86 (( double_divide @
% 1.35/0.86 A @
% 1.35/0.86 ( inverse @
% 1.35/0.86 ( double_divide @
% 1.35/0.86 ( inverse @
% 1.35/0.86 ( double_divide @ ( double_divide @ A @ B ) @ ( inverse @ C ) ) ) @
% 1.35/0.86 B ) ) ) =
% 1.35/0.86 ( C ))).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ X1 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 1.35/0.86 X2)))
% 1.35/0.86 = (X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ X1 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 1.35/0.86 X2)))
% 1.35/0.86 = (X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ X1 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 1.35/0.86 X2)))
% 1.35/0.86 = (X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.86 thf(zip_derived_cl4, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.86 ((double_divide @ X3 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @ (double_divide @ X0 @ (inverse @ X1))) @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ (double_divide @ X3 @ X2) @ (inverse @ X0))) @
% 1.35/0.86 X2)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.35/0.86 thf(zip_derived_cl109, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X1))) @
% 1.35/0.86 (inverse @ X0)) = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl109, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X1))) @
% 1.35/0.86 (inverse @ X0)) = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl147, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ (inverse @ X0) @
% 1.35/0.86 (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl109])).
% 1.35/0.86 thf(zip_derived_cl109, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ (inverse @ (double_divide @ X0 @ (inverse @ X1))) @
% 1.35/0.86 (inverse @ X0)) = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 1.35/0.86 thf(zip_derived_cl168, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ (inverse @ X0) @ (inverse @ (inverse @ X1)))
% 1.35/0.86 = (inverse @ (double_divide @ X0 @ (inverse @ X1))))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl109])).
% 1.35/0.86 thf(zip_derived_cl147, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ (inverse @ X0) @
% 1.35/0.86 (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl109])).
% 1.35/0.86 thf(zip_derived_cl200, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((inverse @
% 1.35/0.86 (double_divide @ X0 @
% 1.35/0.86 (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl147])).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ X1 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 1.35/0.86 X2)))
% 1.35/0.86 = (X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ X1 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 1.35/0.86 X2)))
% 1.35/0.86 = (X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ X1 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 1.35/0.86 X2)))
% 1.35/0.86 = (X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.86 thf(zip_derived_cl5, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/0.86 ((double_divide @ X3 @
% 1.35/0.86 (inverse @ (double_divide @ (inverse @ X0) @ X2)))
% 1.35/0.86 = (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (double_divide @ (double_divide @ X3 @ X2) @ X1) @
% 1.35/0.86 (inverse @ X0))) @
% 1.35/0.86 X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.35/0.86 thf(zip_derived_cl0, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ X1 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ (double_divide @ X1 @ X2) @ (inverse @ X0))) @
% 1.35/0.86 X2)))
% 1.35/0.86 = (X0))),
% 1.35/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 1.35/0.86 thf(zip_derived_cl10, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ (double_divide @ X2 @ X0) @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ X2 @
% 1.35/0.86 (inverse @ (double_divide @ (inverse @ X1) @ X0)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.35/0.86 thf(zip_derived_cl10, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ (double_divide @ X2 @ X0) @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @ X2 @
% 1.35/0.86 (inverse @ (double_divide @ (inverse @ X1) @ X0)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.35/0.86 thf(zip_derived_cl22, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @
% 1.35/0.86 (double_divide @ (double_divide @ (inverse @ X1) @ X2) @
% 1.35/0.86 (inverse @ (double_divide @ (inverse @ X0) @ X2))) @
% 1.35/0.86 (inverse @ X0)) = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 1.35/0.86 thf(zip_derived_cl41, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.86 ((double_divide @ X0 @
% 1.35/0.86 (inverse @
% 1.35/0.86 (double_divide @
% 1.35/0.86 (double_divide @ (double_divide @ (inverse @ X1) @ X2) @ X2) @
% 1.35/0.86 (inverse @ X0))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 1.35/0.86 thf(zip_derived_cl200, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((inverse @
% 1.35/0.86 (double_divide @ X0 @
% 1.35/0.86 (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl147])).
% 1.35/0.86 thf(zip_derived_cl244, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((inverse @ X0)
% 1.35/0.86 = (double_divide @ (double_divide @ (inverse @ X0) @ X1) @ X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl200])).
% 1.35/0.86 thf(zip_derived_cl282, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((X0) = (double_divide @ (double_divide @ X0 @ X1) @ X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl200, zip_derived_cl244])).
% 1.35/0.86 thf(zip_derived_cl200, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((inverse @
% 1.35/0.86 (double_divide @ X0 @
% 1.35/0.86 (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl147])).
% 1.35/0.86 thf(zip_derived_cl147, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ (inverse @ X0) @
% 1.35/0.86 (inverse @ (inverse @ (double_divide @ X1 @ (inverse @ X0)))))
% 1.35/0.86 = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl109])).
% 1.35/0.86 thf(zip_derived_cl220, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ X0 @
% 1.35/0.86 (inverse @ (inverse @ (double_divide @ X1 @ X0)))) = (X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl200, zip_derived_cl147])).
% 1.35/0.86 thf(zip_derived_cl327, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ X1 @ (inverse @ (inverse @ X0)))
% 1.35/0.86 = (double_divide @ X0 @ X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl220])).
% 1.35/0.86 thf(zip_derived_cl282, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((X0) = (double_divide @ (double_divide @ X0 @ X1) @ X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl200, zip_derived_cl244])).
% 1.35/0.86 thf(zip_derived_cl352, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((X1)
% 1.35/0.86 = (double_divide @ X0 @
% 1.35/0.86 (double_divide @ X1 @ (inverse @ (inverse @ X0)))))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl327, zip_derived_cl282])).
% 1.35/0.86 thf(zip_derived_cl327, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ X1 @ (inverse @ (inverse @ X0)))
% 1.35/0.86 = (double_divide @ X0 @ X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl220])).
% 1.35/0.86 thf(zip_derived_cl369, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((X1) = (double_divide @ X0 @ (double_divide @ X0 @ X1)))),
% 1.35/0.86 inference('demod', [status(thm)], [zip_derived_cl352, zip_derived_cl327])).
% 1.35/0.86 thf(zip_derived_cl282, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((X0) = (double_divide @ (double_divide @ X0 @ X1) @ X1))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl200, zip_derived_cl244])).
% 1.35/0.86 thf(zip_derived_cl377, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((X1) = (double_divide @ X0 @ (double_divide @ X1 @ X0)))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl282])).
% 1.35/0.86 thf(zip_derived_cl369, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((X1) = (double_divide @ X0 @ (double_divide @ X0 @ X1)))),
% 1.35/0.86 inference('demod', [status(thm)], [zip_derived_cl352, zip_derived_cl327])).
% 1.35/0.86 thf(zip_derived_cl399, plain,
% 1.35/0.86 (![X0 : $i, X1 : $i]:
% 1.35/0.86 ((double_divide @ X0 @ X1) = (double_divide @ X1 @ X0))),
% 1.35/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl377, zip_derived_cl369])).
% 1.35/0.86 thf(zip_derived_cl468, plain,
% 1.35/0.86 (((inverse @ (double_divide @ a @ b))
% 1.35/0.86 != (inverse @ (double_divide @ a @ b)))),
% 1.35/0.86 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl399])).
% 1.35/0.86 thf(zip_derived_cl469, plain, ($false),
% 1.35/0.86 inference('simplify', [status(thm)], [zip_derived_cl468])).
% 1.35/0.86
% 1.35/0.86 % SZS output end Refutation
% 1.35/0.86
% 1.35/0.86
% 1.35/0.86 % Terminating...
% 2.17/0.94 % Runner terminated.
% 2.17/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------