TSTP Solution File: GRP564-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP564-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X51Ji4gdJO true
% Computer : n008.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 01:52:08 EDT 2023
% Result : Unsatisfiable 1.44s 0.81s
% Output : Refutation 1.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP564-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.X51Ji4gdJO true
% 0.18/0.35 % Computer : n008.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Tue Aug 29 02:42:17 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.44/0.81 % Solved by fo/fo6_bce.sh.
% 1.44/0.81 % BCE start: 3
% 1.44/0.81 % BCE eliminated: 0
% 1.44/0.81 % PE start: 3
% 1.44/0.81 logic: eq
% 1.44/0.81 % PE eliminated: 0
% 1.44/0.81 % done 55 iterations in 0.091s
% 1.44/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.44/0.81 % SZS output start Refutation
% 1.44/0.81 thf(inverse_type, type, inverse: $i > $i).
% 1.44/0.81 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.44/0.81 thf(b_type, type, b: $i).
% 1.44/0.81 thf(divide_type, type, divide: $i > $i > $i).
% 1.44/0.81 thf(a_type, type, a: $i).
% 1.44/0.81 thf(prove_these_axioms_4, conjecture,
% 1.44/0.81 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 1.44/0.81 thf(zf_stmt_0, negated_conjecture,
% 1.44/0.81 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 1.44/0.81 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 1.44/0.81 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 1.44/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.44/0.81 thf(single_axiom, axiom,
% 1.44/0.81 (( divide @
% 1.44/0.81 ( divide @ ( divide @ A @ ( inverse @ B ) ) @ C ) @ ( divide @ A @ C ) ) =
% 1.44/0.81 ( B ))).
% 1.44/0.81 thf(zip_derived_cl0, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (divide @ (divide @ X1 @ (inverse @ X0)) @ X2) @
% 1.44/0.81 (divide @ X1 @ X2)) = (X0))),
% 1.44/0.81 inference('cnf', [status(esa)], [single_axiom])).
% 1.44/0.81 thf(multiply, axiom,
% 1.44/0.81 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 1.44/0.81 thf(zip_derived_cl1, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.44/0.81 inference('cnf', [status(esa)], [multiply])).
% 1.44/0.81 thf(zip_derived_cl3, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.44/0.81 = (X0))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl3, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.44/0.81 = (X0))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl4, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.81 ((divide @
% 1.44/0.81 (divide @ (multiply @ (divide @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 1.44/0.81 (divide @ X3 @ X2)) @
% 1.44/0.81 X0) = (X1))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.44/0.81 thf(zip_derived_cl1, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.44/0.81 inference('cnf', [status(esa)], [multiply])).
% 1.44/0.81 thf(zip_derived_cl12, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.81 ((multiply @
% 1.44/0.81 (divide @
% 1.44/0.81 (multiply @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @ X0) @
% 1.44/0.81 (divide @ X3 @ X2)) @
% 1.44/0.81 X1) = (X0))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl4, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.81 ((divide @
% 1.44/0.81 (divide @ (multiply @ (divide @ (multiply @ X3 @ X0) @ X2) @ X1) @
% 1.44/0.81 (divide @ X3 @ X2)) @
% 1.44/0.81 X0) = (X1))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.44/0.81 thf(zip_derived_cl39, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.81 ((divide @
% 1.44/0.81 (divide @ X0 @
% 1.44/0.81 (divide @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @
% 1.44/0.81 (divide @ X3 @ X2))) @
% 1.44/0.81 X0) = (X1))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 1.44/0.81 thf(zip_derived_cl3, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.44/0.81 = (X0))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl1, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.44/0.81 inference('cnf', [status(esa)], [multiply])).
% 1.44/0.81 thf(zip_derived_cl55, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 1.44/0.81 inference('demod', [status(thm)],
% 1.44/0.81 [zip_derived_cl39, zip_derived_cl3, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl12, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.81 ((multiply @
% 1.44/0.81 (divide @
% 1.44/0.81 (multiply @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @ X0) @
% 1.44/0.81 (divide @ X3 @ X2)) @
% 1.44/0.81 X1) = (X0))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl12, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.81 ((multiply @
% 1.44/0.81 (divide @
% 1.44/0.81 (multiply @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @ X0) @
% 1.44/0.81 (divide @ X3 @ X2)) @
% 1.44/0.81 X1) = (X0))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl47, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.44/0.81 ((multiply @
% 1.44/0.81 (divide @ (inverse @ X0) @
% 1.44/0.81 (divide @ (divide @ (multiply @ X3 @ (inverse @ X1)) @ X2) @
% 1.44/0.81 (divide @ X3 @ X2))) @
% 1.44/0.81 X0) = (X1))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl12])).
% 1.44/0.81 thf(zip_derived_cl3, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.44/0.81 = (X0))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl1, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.44/0.81 inference('cnf', [status(esa)], [multiply])).
% 1.44/0.81 thf(zip_derived_cl53, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 1.44/0.81 inference('demod', [status(thm)],
% 1.44/0.81 [zip_derived_cl47, zip_derived_cl3, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl53, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 1.44/0.81 inference('demod', [status(thm)],
% 1.44/0.81 [zip_derived_cl47, zip_derived_cl3, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl55, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 1.44/0.81 inference('demod', [status(thm)],
% 1.44/0.81 [zip_derived_cl39, zip_derived_cl3, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl3, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.44/0.81 = (X0))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl72, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((divide @ X0 @ (divide @ X1 @ X1)) = (X0))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl3])).
% 1.44/0.81 thf(zip_derived_cl55, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X0 @ X1) @ X0) = (X1))),
% 1.44/0.81 inference('demod', [status(thm)],
% 1.44/0.81 [zip_derived_cl39, zip_derived_cl3, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl115, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X1) @ X0) = (X0))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl55])).
% 1.44/0.81 thf(zip_derived_cl1, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.44/0.81 inference('cnf', [status(esa)], [multiply])).
% 1.44/0.81 thf(zip_derived_cl3, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (divide @ (multiply @ X1 @ X0) @ X2) @ (divide @ X1 @ X2))
% 1.44/0.81 = (X0))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl5, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (divide @ (multiply @ X1 @ X2) @ (inverse @ X0)) @
% 1.44/0.81 (multiply @ X1 @ X0)) = (X2))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 1.44/0.81 thf(zip_derived_cl1, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.44/0.81 inference('cnf', [status(esa)], [multiply])).
% 1.44/0.81 thf(zip_derived_cl8, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 1.44/0.81 (multiply @ X1 @ X0)) = (X2))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.44/0.81 thf(zip_derived_cl175, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.44/0.81 ((divide @ (multiply @ (multiply @ (divide @ X2 @ X2) @ X1) @ X0) @ X0)
% 1.44/0.81 = (X1))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl8])).
% 1.44/0.81 thf(zip_derived_cl115, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X1) @ X0) = (X0))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl55])).
% 1.44/0.81 thf(zip_derived_cl191, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl115])).
% 1.44/0.81 thf(zip_derived_cl220, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]:
% 1.44/0.81 ((divide @ X0 @ X1) = (multiply @ (inverse @ X1) @ X0))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl191])).
% 1.44/0.81 thf(zip_derived_cl325, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((multiply @ (divide @ X1 @ X0) @ X0) = (X1))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl220])).
% 1.44/0.81 thf(zip_derived_cl500, plain,
% 1.44/0.81 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.44/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl325])).
% 1.44/0.81 thf(zip_derived_cl504, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 1.44/0.81 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl500])).
% 1.44/0.81 thf(zip_derived_cl505, plain, ($false),
% 1.44/0.81 inference('simplify', [status(thm)], [zip_derived_cl504])).
% 1.44/0.81
% 1.44/0.81 % SZS output end Refutation
% 1.44/0.81
% 1.44/0.81
% 1.44/0.81 % Terminating...
% 1.44/0.86 % Runner terminated.
% 1.54/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------