TSTP Solution File: GRP555-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP555-1 : 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.ycNDVvKqgm 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 01:52:06 EDT 2023
% Result : Unsatisfiable 1.20s 0.89s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP555-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ycNDVvKqgm true
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 01:32:34 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 1.06/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.06/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.06/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.89 % Solved by fo/fo13.sh.
% 1.20/0.89 % done 36 iterations in 0.110s
% 1.20/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.20/0.89 % SZS output start Refutation
% 1.20/0.89 thf(inverse_type, type, inverse: $i > $i).
% 1.20/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.20/0.89 thf(b3_type, type, b3: $i).
% 1.20/0.89 thf(divide_type, type, divide: $i > $i > $i).
% 1.20/0.89 thf(a3_type, type, a3: $i).
% 1.20/0.89 thf(c3_type, type, c3: $i).
% 1.20/0.89 thf(prove_these_axioms_3, conjecture,
% 1.20/0.89 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) =
% 1.20/0.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ))).
% 1.20/0.89 thf(zf_stmt_0, negated_conjecture,
% 1.20/0.89 (( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 1.20/0.89 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) )),
% 1.20/0.89 inference('cnf.neg', [status(esa)], [prove_these_axioms_3])).
% 1.20/0.89 thf(zip_derived_cl2, plain,
% 1.20/0.89 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 1.20/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.20/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.20/0.89 thf(multiply, axiom,
% 1.20/0.89 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 1.20/0.89 thf(zip_derived_cl1, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i]:
% 1.20/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.20/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.20/0.89 thf(zip_derived_cl1, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i]:
% 1.20/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.20/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.20/0.89 thf(single_axiom, axiom,
% 1.20/0.89 (( divide @
% 1.20/0.89 ( divide @ A @ ( inverse @ ( divide @ B @ ( divide @ A @ C ) ) ) ) @ C ) =
% 1.20/0.89 ( B ))).
% 1.20/0.89 thf(zip_derived_cl0, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @
% 1.20/0.89 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 1.20/0.89 = (X0))),
% 1.20/0.89 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.89 thf(zip_derived_cl1, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i]:
% 1.20/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.20/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.20/0.89 thf(zip_derived_cl3, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 1.20/0.89 = (X0))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl3, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 1.20/0.89 = (X0))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl5, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X2 @ X0) @ X1)
% 1.20/0.89 = (multiply @ X3 @
% 1.20/0.89 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1)))))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.20/0.89 thf(zip_derived_cl3, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 1.20/0.89 = (X0))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl21, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (divide @ (multiply @ X2 @ X1) @ X0) @ (divide @ X2 @ X0))
% 1.20/0.89 = (X1))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 1.20/0.89 thf(zip_derived_cl36, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (divide @ (multiply @ X1 @ X2) @ (inverse @ X0)) @
% 1.20/0.89 (multiply @ X1 @ X0)) = (X2))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 1.20/0.89 thf(zip_derived_cl1, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i]:
% 1.20/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.20/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.20/0.89 thf(zip_derived_cl45, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 1.20/0.89 (multiply @ X1 @ X0)) = (X2))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl3, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 1.20/0.89 = (X0))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl3, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 1.20/0.89 = (X0))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl4, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.20/0.89 ((divide @
% 1.20/0.89 (multiply @ (multiply @ X3 @ (divide @ X0 @ (divide @ X3 @ X2))) @
% 1.20/0.89 (divide @ X1 @ X0)) @
% 1.20/0.89 X2) = (X1))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 1.20/0.89 thf(zip_derived_cl85, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ X0 @ (divide @ X2 @ (multiply @ X2 @ (divide @ X1 @ X0))))
% 1.20/0.89 = (X1))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl4])).
% 1.20/0.89 thf(zip_derived_cl3, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 1.20/0.89 = (X0))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl142, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X2 @ X0) @ (multiply @ X2 @ (divide @ X0 @ X1)))
% 1.20/0.89 = (X1))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl3])).
% 1.20/0.89 thf(zip_derived_cl3, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 1.20/0.89 = (X0))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl1, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i]:
% 1.20/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.20/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.20/0.89 thf(zip_derived_cl6, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((multiply @
% 1.20/0.89 (multiply @ X2 @ (divide @ X0 @ (divide @ X2 @ (inverse @ X1)))) @
% 1.20/0.89 X1) = (X0))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl1, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i]:
% 1.20/0.89 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.20/0.89 inference('cnf', [status(esa)], [multiply])).
% 1.20/0.89 thf(zip_derived_cl10, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((multiply @ (multiply @ X2 @ (divide @ X0 @ (multiply @ X2 @ X1))) @
% 1.20/0.89 X1) = (X0))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl166, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((multiply @ (multiply @ X2 @ X0) @ (divide @ X1 @ X0))
% 1.20/0.89 = (multiply @ X2 @ X1))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl10])).
% 1.20/0.89 thf(zip_derived_cl198, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((multiply @ (multiply @ X2 @ (inverse @ X0)) @ (multiply @ X1 @ X0))
% 1.20/0.89 = (multiply @ X2 @ X1))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl166])).
% 1.20/0.89 thf(zip_derived_cl45, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 1.20/0.89 (multiply @ X1 @ X0)) = (X2))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 1.20/0.89 thf(zip_derived_cl166, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((multiply @ (multiply @ X2 @ X0) @ (divide @ X1 @ X0))
% 1.20/0.89 = (multiply @ X2 @ X1))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl10])).
% 1.20/0.89 thf(zip_derived_cl205, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.20/0.89 ((multiply @ (multiply @ X3 @ (multiply @ X2 @ X1)) @ X0)
% 1.20/0.89 = (multiply @ X3 @ (multiply @ (multiply @ X2 @ X0) @ X1)))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl166])).
% 1.20/0.89 thf(zip_derived_cl307, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.20/0.89 ((multiply @ (multiply @ X1 @ X0) @ X3)
% 1.20/0.89 = (multiply @ (multiply @ X1 @ (inverse @ X2)) @
% 1.20/0.89 (multiply @ (multiply @ X0 @ X3) @ X2)))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl205])).
% 1.20/0.89 thf(zip_derived_cl198, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.89 ((multiply @ (multiply @ X2 @ (inverse @ X0)) @ (multiply @ X1 @ X0))
% 1.20/0.89 = (multiply @ X2 @ X1))),
% 1.20/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl166])).
% 1.20/0.89 thf(zip_derived_cl314, plain,
% 1.20/0.89 (![X0 : $i, X1 : $i, X3 : $i]:
% 1.20/0.89 ((multiply @ (multiply @ X1 @ X0) @ X3)
% 1.20/0.89 = (multiply @ X1 @ (multiply @ X0 @ X3)))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl307, zip_derived_cl198])).
% 1.20/0.89 thf(zip_derived_cl338, plain,
% 1.20/0.89 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 1.20/0.89 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 1.20/0.89 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl314])).
% 1.20/0.89 thf(zip_derived_cl339, plain, ($false),
% 1.20/0.89 inference('simplify', [status(thm)], [zip_derived_cl338])).
% 1.20/0.89
% 1.20/0.89 % SZS output end Refutation
% 1.20/0.89
% 1.20/0.89
% 1.20/0.89 % Terminating...
% 1.41/1.09 % Runner terminated.
% 1.41/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------