%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP608-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7dnSPBrBAV true
% Computer : n018.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 04:36:46 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
% 0.13/0.12 % Problem : GRP608-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7dnSPBrBAV true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 14:20:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.87 % Solved by fo/fo13.sh.
% 0.58/0.87 % done 29 iterations in 0.088s
% 0.58/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.87 % SZS output start Refutation
% 0.58/0.87 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.87 thf(b_type, type, b: $i).
% 0.58/0.87 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.87 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 0.58/0.87 thf(a_type, type, a: $i).
% 0.58/0.87 thf(prove_these_axioms_4, conjecture,
% 0.58/0.87 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.58/0.87 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.87 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.58/0.87 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.58/0.87 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.58/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.87 thf(multiply, axiom,
% 0.58/0.87 (( multiply @ A @ B ) = ( inverse @ ( double_divide @ B @ A ) ))).
% 0.58/0.87 thf(zip_derived_cl1, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.87 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.87 thf(zip_derived_cl1, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((multiply @ X1 @ X0) = (inverse @ (double_divide @ X0 @ X1)))),
% 0.58/0.87 inference('cnf', [status(esa)], [multiply])).
% 0.58/0.87 thf(zip_derived_cl3, plain,
% 0.58/0.87 (((inverse @ (double_divide @ b @ a))
% 0.58/0.87 != (inverse @ (double_divide @ a @ b)))),
% 0.58/0.87 inference('demod', [status(thm)],
% 0.58/0.87 [zip_derived_cl2, zip_derived_cl1, zip_derived_cl1])).
% 0.58/0.87 thf(single_axiom, axiom,
% 0.58/0.87 (( double_divide @
% 0.58/0.87 ( inverse @
% 0.58/0.87 ( double_divide @
% 0.58/0.87 A @
% 0.58/0.87 ( inverse @
% 0.58/0.87 ( double_divide @ ( inverse @ B ) @ ( double_divide @ A @ C ) ) ) ) ) @
% 0.58/0.87 C ) =
% 0.58/0.87 ( B ))).
% 0.58/0.87 thf(zip_derived_cl0, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ X1 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @
% 0.58/0.87 X2) = (X0))),
% 0.58/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.87 thf(zip_derived_cl0, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ X1 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @
% 0.58/0.87 X2) = (X0))),
% 0.58/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.87 thf(zip_derived_cl0, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ X1 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @
% 0.58/0.87 X2) = (X0))),
% 0.58/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.87 thf(zip_derived_cl4, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ X3 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @ (double_divide @ X3 @ X2))))) @
% 0.58/0.87 (inverse @ (double_divide @ (inverse @ X1) @ X0)))) @
% 0.58/0.87 X2) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.87 thf(zip_derived_cl109, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @ (inverse @ X0) @
% 0.58/0.87 (inverse @ (double_divide @ (inverse @ X1) @ X0))) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.58/0.87 thf(zip_derived_cl109, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @ (inverse @ X0) @
% 0.58/0.87 (inverse @ (double_divide @ (inverse @ X1) @ X0))) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.58/0.87 thf(zip_derived_cl152, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @ (inverse @ (double_divide @ (inverse @ X0) @ X1))) @
% 0.58/0.87 (inverse @ X0)) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl109])).
% 0.58/0.87 thf(zip_derived_cl109, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @ (inverse @ X0) @
% 0.58/0.87 (inverse @ (double_divide @ (inverse @ X1) @ X0))) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl4])).
% 0.58/0.87 thf(zip_derived_cl173, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @ (inverse @ (inverse @ X1)) @ (inverse @ X0))
% 0.58/0.87 = (inverse @ (double_divide @ (inverse @ X1) @ X0)))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl109])).
% 0.58/0.87 thf(zip_derived_cl152, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @ (inverse @ (double_divide @ (inverse @ X0) @ X1))) @
% 0.58/0.87 (inverse @ X0)) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl109])).
% 0.58/0.87 thf(zip_derived_cl201, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((inverse @
% 0.58/0.87 (double_divide @
% 0.58/0.87 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 0.58/0.87 = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl152])).
% 0.58/0.87 thf(zip_derived_cl0, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ X1 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @
% 0.58/0.87 X2) = (X0))),
% 0.58/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.87 thf(zip_derived_cl0, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ X1 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @
% 0.58/0.87 X2) = (X0))),
% 0.58/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.87 thf(zip_derived_cl0, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ X1 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @
% 0.58/0.87 X2) = (X0))),
% 0.58/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 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 ((double_divide @ (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 0.58/0.87 X1)
% 0.58/0.87 = (double_divide @ X3 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @
% 0.58/0.87 (double_divide @ X3 @ (double_divide @ X2 @ X1))))))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.58/0.87 thf(zip_derived_cl0, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ X1 @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @ (double_divide @ X1 @ X2))))) @
% 0.58/0.87 X2) = (X0))),
% 0.58/0.87 inference('cnf', [status(esa)], [single_axiom])).
% 0.58/0.87 thf(zip_derived_cl10, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @
% 0.58/0.87 (inverse @ (double_divide @ X2 @ (inverse @ X1))) @ X0)) @
% 0.58/0.87 (double_divide @ X2 @ X0)) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.58/0.87 thf(zip_derived_cl10, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @
% 0.58/0.87 (inverse @ (double_divide @ X2 @ (inverse @ X1))) @ X0)) @
% 0.58/0.87 (double_divide @ X2 @ X0)) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 0.58/0.87 thf(zip_derived_cl23, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @ (inverse @ X0) @
% 0.58/0.87 (double_divide @
% 0.58/0.87 (inverse @ (double_divide @ X2 @ (inverse @ X0))) @
% 0.58/0.87 (double_divide @ X2 @ (inverse @ X1))))
% 0.58/0.87 = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl10])).
% 0.58/0.87 thf(zip_derived_cl41, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @
% 0.58/0.87 (double_divide @ (inverse @ X0) @
% 0.58/0.87 (double_divide @ X2 @ (double_divide @ X2 @ (inverse @ X1))))) @
% 0.58/0.87 X0) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 0.58/0.87 thf(zip_derived_cl201, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((inverse @
% 0.58/0.87 (double_divide @
% 0.58/0.87 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 0.58/0.87 = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl152])).
% 0.58/0.87 thf(zip_derived_cl244, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((inverse @ X0)
% 0.58/0.87 = (double_divide @ X1 @ (double_divide @ X1 @ (inverse @ X0))))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl201])).
% 0.58/0.87 thf(zip_derived_cl282, plain,
% 0.58/0.87 (![X0 : $i, X2 : $i]:
% 0.58/0.87 ((X0) = (double_divide @ X2 @ (double_divide @ X2 @ X0)))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl244])).
% 0.58/0.87 thf(zip_derived_cl201, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((inverse @
% 0.58/0.87 (double_divide @
% 0.58/0.87 (inverse @ (double_divide @ (inverse @ X0) @ X1)) @ X0))
% 0.58/0.87 = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl152])).
% 0.58/0.87 thf(zip_derived_cl152, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @
% 0.58/0.87 (inverse @ (inverse @ (double_divide @ (inverse @ X0) @ X1))) @
% 0.58/0.87 (inverse @ X0)) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl109, zip_derived_cl109])).
% 0.58/0.87 thf(zip_derived_cl220, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @ (inverse @ (inverse @ (double_divide @ X0 @ X1))) @
% 0.58/0.87 X0) = (X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl152])).
% 0.58/0.87 thf(zip_derived_cl324, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @ (inverse @ (inverse @ X0)) @ X1)
% 0.58/0.87 = (double_divide @ X1 @ X0))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl220])).
% 0.58/0.87 thf(zip_derived_cl282, plain,
% 0.58/0.87 (![X0 : $i, X2 : $i]:
% 0.58/0.87 ((X0) = (double_divide @ X2 @ (double_divide @ X2 @ X0)))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl244])).
% 0.58/0.87 thf(zip_derived_cl348, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((X1)
% 0.58/0.87 = (double_divide @
% 0.58/0.87 (double_divide @ (inverse @ (inverse @ X0)) @ X1) @ X0))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl324, zip_derived_cl282])).
% 0.58/0.87 thf(zip_derived_cl324, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @ (inverse @ (inverse @ X0)) @ X1)
% 0.58/0.87 = (double_divide @ X1 @ X0))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl220])).
% 0.58/0.87 thf(zip_derived_cl369, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((X1) = (double_divide @ (double_divide @ X1 @ X0) @ X0))),
% 0.58/0.87 inference('demod', [status(thm)], [zip_derived_cl348, zip_derived_cl324])).
% 0.58/0.87 thf(zip_derived_cl282, plain,
% 0.58/0.87 (![X0 : $i, X2 : $i]:
% 0.58/0.87 ((X0) = (double_divide @ X2 @ (double_divide @ X2 @ X0)))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl244])).
% 0.58/0.87 thf(zip_derived_cl381, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((X1) = (double_divide @ (double_divide @ X0 @ X1) @ X0))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl369, zip_derived_cl282])).
% 0.58/0.87 thf(zip_derived_cl369, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((X1) = (double_divide @ (double_divide @ X1 @ X0) @ X0))),
% 0.58/0.87 inference('demod', [status(thm)], [zip_derived_cl348, zip_derived_cl324])).
% 0.58/0.87 thf(zip_derived_cl404, plain,
% 0.58/0.87 (![X0 : $i, X1 : $i]:
% 0.58/0.87 ((double_divide @ X1 @ X0) = (double_divide @ X0 @ X1))),
% 0.58/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl381, zip_derived_cl369])).
% 0.58/0.87 thf(zip_derived_cl467, plain,
% 0.58/0.87 (((inverse @ (double_divide @ a @ b))
% 0.58/0.87 != (inverse @ (double_divide @ a @ b)))),
% 0.58/0.87 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl404])).
% 0.58/0.87 thf(zip_derived_cl468, plain, ($false),
% 0.58/0.87 inference('simplify', [status(thm)], [zip_derived_cl467])).
% 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...
% 2.11/0.95 % Runner terminated.
% 2.11/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------