TSTP Solution File: GRP409-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP409-1 : 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.6gy4VrAPEk true
% Computer : n017.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 01:51:32 EDT 2023
% Result : Unsatisfiable 2.01s 1.09s
% Output : Refutation 2.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP409-1 : 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.6gy4VrAPEk true
% 0.13/0.34 % Computer : n017.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 21:00:42 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.39/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.01/1.09 % Solved by fo/fo1_av.sh.
% 2.01/1.09 % done 52 iterations in 0.327s
% 2.01/1.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.01/1.09 % SZS output start Refutation
% 2.01/1.09 thf(b1_type, type, b1: $i).
% 2.01/1.09 thf(inverse_type, type, inverse: $i > $i).
% 2.01/1.09 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.01/1.09 thf(a1_type, type, a1: $i).
% 2.01/1.09 thf(single_axiom, axiom,
% 2.01/1.09 (( multiply @
% 2.01/1.09 ( multiply @
% 2.01/1.09 ( inverse @ ( multiply @ A @ ( inverse @ ( multiply @ B @ C ) ) ) ) @
% 2.01/1.09 ( multiply @ A @ ( inverse @ C ) ) ) @
% 2.01/1.09 ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) ) =
% 2.01/1.09 ( B ))).
% 2.01/1.09 thf(zip_derived_cl0, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X2))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 2.01/1.09 inference('cnf', [status(esa)], [single_axiom])).
% 2.01/1.09 thf(zip_derived_cl0, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X2))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 2.01/1.09 inference('cnf', [status(esa)], [single_axiom])).
% 2.01/1.09 thf(zip_derived_cl0, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X2))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 2.01/1.09 inference('cnf', [status(esa)], [single_axiom])).
% 2.01/1.09 thf(zip_derived_cl0, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X2))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 2.01/1.09 inference('cnf', [status(esa)], [single_axiom])).
% 2.01/1.09 thf(zip_derived_cl4, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2)))) @
% 2.01/1.09 (multiply @ X3 @ (inverse @ X2))) @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X2) @ X2))))) @
% 2.01/1.09 X0) @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 2.01/1.09 (multiply @ (inverse @ X2) @ X2))))
% 2.01/1.09 = (X1))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 2.01/1.09 thf(zip_derived_cl0, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X2))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 2.01/1.09 inference('cnf', [status(esa)], [single_axiom])).
% 2.01/1.09 thf(zip_derived_cl0, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X2))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 2.01/1.09 inference('cnf', [status(esa)], [single_axiom])).
% 2.01/1.09 thf(zip_derived_cl2, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 2.01/1.09 (multiply @ X3 @
% 2.01/1.09 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 2.01/1.09 = (multiply @
% 2.01/1.09 (inverse @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X1)))) @
% 2.01/1.09 (multiply @ X2 @ (inverse @ X1))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 2.01/1.09 thf(zip_derived_cl0, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X2))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 2.01/1.09 inference('cnf', [status(esa)], [single_axiom])).
% 2.01/1.09 thf(zip_derived_cl20, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @ X1 @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @
% 2.01/1.09 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 2.01/1.09 X0)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X0))) = (X2))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 2.01/1.09 thf(zip_derived_cl2, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 2.01/1.09 (multiply @ X3 @
% 2.01/1.09 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 2.01/1.09 = (multiply @
% 2.01/1.09 (inverse @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X1)))) @
% 2.01/1.09 (multiply @ X2 @ (inverse @ X1))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 2.01/1.09 thf(zip_derived_cl2, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 2.01/1.09 (multiply @ X3 @
% 2.01/1.09 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 2.01/1.09 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 2.01/1.09 = (multiply @
% 2.01/1.09 (inverse @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X1)))) @
% 2.01/1.09 (multiply @ X2 @ (inverse @ X1))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 2.01/1.09 thf(zip_derived_cl21, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X2 @ X0)))) @
% 2.01/1.09 (multiply @ X1 @ (inverse @ X0)))
% 2.01/1.09 = (multiply @
% 2.01/1.09 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X2 @ X0)))) @
% 2.01/1.09 (multiply @ X3 @ (inverse @ X0))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 2.01/1.09 thf(zip_derived_cl110, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.01/1.09 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X0))) @
% 2.01/1.09 (multiply @ X4 @ (inverse @ (multiply @ X2 @ (inverse @ X1)))))
% 2.01/1.09 = (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 2.01/1.09 (multiply @ X3 @ (inverse @ (multiply @ X2 @ (inverse @ X1))))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl21])).
% 2.01/1.09 thf(zip_derived_cl227, plain,
% 2.01/1.09 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 2.01/1.09 ((multiply @ (inverse @ (multiply @ X6 @ (inverse @ X5))) @
% 2.01/1.09 (multiply @ X6 @ (inverse @ X0)))
% 2.01/1.09 = (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X5))) @
% 2.01/1.09 (multiply @ X4 @ (inverse @ X0))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl110])).
% 2.01/1.09 thf(zip_derived_cl297, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.01/1.09 ((multiply @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @
% 2.01/1.09 (multiply @
% 2.01/1.09 (inverse @ (multiply @ X4 @ (inverse @ (multiply @ X0 @ X1)))) @
% 2.01/1.09 (multiply @ X4 @ (inverse @ X1))) @
% 2.01/1.09 (inverse @ X3))) @
% 2.01/1.09 X0)
% 2.01/1.09 = (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X3))) @
% 2.01/1.09 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl227])).
% 2.01/1.09 thf(zip_derived_cl441, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @ (inverse @ X0) @ X0)
% 2.01/1.09 = (multiply @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))) @
% 2.01/1.09 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 2.01/1.09 thf(zip_derived_cl441, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.01/1.09 ((multiply @ (inverse @ X0) @ X0)
% 2.01/1.09 = (multiply @
% 2.01/1.09 (inverse @
% 2.01/1.09 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))) @
% 2.01/1.09 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 2.01/1.09 thf(zip_derived_cl529, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i]:
% 2.01/1.09 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl441])).
% 2.01/1.09 thf(prove_these_axioms_1, conjecture,
% 2.01/1.09 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 2.01/1.09 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 2.01/1.09 thf(zf_stmt_0, negated_conjecture,
% 2.01/1.09 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 2.01/1.09 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 2.01/1.09 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 2.01/1.09 thf(zip_derived_cl1, plain,
% 2.01/1.09 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 2.01/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.01/1.09 thf(zip_derived_cl719, plain,
% 2.01/1.09 (![X0 : $i]:
% 2.01/1.09 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 2.01/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl529, zip_derived_cl1])).
% 2.01/1.09 thf(zip_derived_cl529, plain,
% 2.01/1.09 (![X0 : $i, X1 : $i]:
% 2.01/1.09 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 2.01/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl441])).
% 2.01/1.09 thf(zip_derived_cl790, plain, ($false),
% 2.01/1.09 inference('simplify_reflect+', [status(thm)],
% 2.01/1.09 [zip_derived_cl719, zip_derived_cl529])).
% 2.01/1.09
% 2.01/1.09 % SZS output end Refutation
% 2.01/1.09
% 2.01/1.09
% 2.01/1.09 % Terminating...
% 2.45/1.16 % Runner terminated.
% 2.45/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------