TSTP Solution File: GRP556-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP556-1 : 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.LfvaYaB2k5 true
% Computer : n006.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 0.59s 0.86s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP556-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LfvaYaB2k5 true
% 0.15/0.37 % Computer : n006.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 02:13:51 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.50/0.64 % Total configuration time : 435
% 0.50/0.64 % Estimated wc time : 1092
% 0.50/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.86 % Solved by fo/fo5.sh.
% 0.59/0.86 % done 37 iterations in 0.068s
% 0.59/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.86 % SZS output start Refutation
% 0.59/0.86 thf(inverse_type, type, inverse: $i > $i).
% 0.59/0.86 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.59/0.86 thf(b_type, type, b: $i).
% 0.59/0.86 thf(divide_type, type, divide: $i > $i > $i).
% 0.59/0.86 thf(a_type, type, a: $i).
% 0.59/0.86 thf(prove_these_axioms_4, conjecture,
% 0.59/0.86 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.59/0.86 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.86 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.59/0.86 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.59/0.86 thf(zip_derived_cl2, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.59/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.86 thf(multiply, axiom,
% 0.59/0.86 (( multiply @ A @ B ) = ( divide @ A @ ( inverse @ B ) ))).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(single_axiom, axiom,
% 0.59/0.86 (( divide @
% 0.59/0.86 ( divide @ A @ ( inverse @ ( divide @ B @ ( divide @ A @ C ) ) ) ) @ C ) =
% 0.59/0.86 ( B ))).
% 0.59/0.86 thf(zip_derived_cl0, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (divide @ X1 @ (inverse @ (divide @ X0 @ (divide @ X1 @ X2)))) @ X2)
% 0.59/0.86 = (X0))),
% 0.59/0.86 inference('cnf', [status(esa)], [single_axiom])).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(zip_derived_cl3, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 0.59/0.86 = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl3, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 0.59/0.86 = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl5, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X2 @ X0) @ X1)
% 0.59/0.86 = (multiply @ X3 @
% 0.59/0.86 (divide @ X0 @ (divide @ X3 @ (divide @ X2 @ X1)))))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 0.59/0.86 thf(zip_derived_cl3, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 0.59/0.86 = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl21, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (divide @ (multiply @ X2 @ X1) @ X0) @ (divide @ X2 @ X0))
% 0.59/0.86 = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 0.59/0.86 thf(zip_derived_cl36, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (divide @ (multiply @ X1 @ X2) @ (inverse @ X0)) @
% 0.59/0.86 (multiply @ X1 @ X0)) = (X2))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(zip_derived_cl45, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 0.59/0.86 (multiply @ X1 @ X0)) = (X2))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl3, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 0.59/0.86 = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl3, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 0.59/0.86 = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl4, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.86 ((divide @
% 0.59/0.86 (multiply @ (multiply @ X3 @ (divide @ X0 @ (divide @ X3 @ X2))) @
% 0.59/0.86 (divide @ X1 @ X0)) @
% 0.59/0.86 X2) = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl3])).
% 0.59/0.86 thf(zip_derived_cl74, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ X0 @ (divide @ X2 @ (multiply @ X2 @ (divide @ X1 @ X0))))
% 0.59/0.86 = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl4])).
% 0.59/0.86 thf(zip_derived_cl3, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 0.59/0.86 = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl120, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X2 @ X0) @ (multiply @ X2 @ (divide @ X0 @ X1)))
% 0.59/0.86 = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl3])).
% 0.59/0.86 thf(zip_derived_cl3, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X1 @ (divide @ X0 @ (divide @ X1 @ X2))) @ X2)
% 0.59/0.86 = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(zip_derived_cl6, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @
% 0.59/0.86 (multiply @ X2 @ (divide @ X0 @ (divide @ X2 @ (inverse @ X1)))) @
% 0.59/0.86 X1) = (X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(zip_derived_cl10, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X2 @ (divide @ X0 @ (multiply @ X2 @ X1))) @
% 0.59/0.86 X1) = (X0))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl142, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X2 @ X0) @ (divide @ X1 @ X0))
% 0.59/0.86 = (multiply @ X2 @ X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl10])).
% 0.59/0.86 thf(zip_derived_cl172, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X2 @ (inverse @ X0)) @ (multiply @ X1 @ X0))
% 0.59/0.86 = (multiply @ X2 @ X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl142])).
% 0.59/0.86 thf(zip_derived_cl45, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ (multiply @ X1 @ X2) @ X0) @
% 0.59/0.86 (multiply @ X1 @ X0)) = (X2))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl142, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X2 @ X0) @ (divide @ X1 @ X0))
% 0.59/0.86 = (multiply @ X2 @ X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl10])).
% 0.59/0.86 thf(zip_derived_cl178, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X3 @ (multiply @ X2 @ X1)) @ X0)
% 0.59/0.86 = (multiply @ X3 @ (multiply @ (multiply @ X2 @ X0) @ X1)))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl142])).
% 0.59/0.86 thf(zip_derived_cl316, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X1 @ X0) @ X3)
% 0.59/0.86 = (multiply @ (multiply @ X1 @ (inverse @ X2)) @
% 0.59/0.86 (multiply @ (multiply @ X0 @ X3) @ X2)))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl178])).
% 0.59/0.86 thf(zip_derived_cl172, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X2 @ (inverse @ X0)) @ (multiply @ X1 @ X0))
% 0.59/0.86 = (multiply @ X2 @ X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl142])).
% 0.59/0.86 thf(zip_derived_cl323, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X3 : $i]:
% 0.59/0.86 ((multiply @ (multiply @ X1 @ X0) @ X3)
% 0.59/0.86 = (multiply @ X1 @ (multiply @ X0 @ X3)))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl316, zip_derived_cl172])).
% 0.59/0.86 thf(zip_derived_cl74, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ X0 @ (divide @ X2 @ (multiply @ X2 @ (divide @ X1 @ X0))))
% 0.59/0.86 = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl4])).
% 0.59/0.86 thf(zip_derived_cl366, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.86 ((divide @ X0 @
% 0.59/0.86 (divide @ (multiply @ X3 @ X2) @
% 0.59/0.86 (multiply @ X3 @ (multiply @ X2 @ (divide @ X1 @ X0)))))
% 0.59/0.86 = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl323, zip_derived_cl74])).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(zip_derived_cl120, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X2 @ X0) @ (multiply @ X2 @ (divide @ X0 @ X1)))
% 0.59/0.86 = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl3])).
% 0.59/0.86 thf(zip_derived_cl149, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X2 @ X1) @
% 0.59/0.86 (multiply @ X2 @ (multiply @ X1 @ X0))) = (inverse @ X0))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl120])).
% 0.59/0.86 thf(zip_derived_cl1, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]:
% 0.59/0.86 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 0.59/0.86 inference('cnf', [status(esa)], [multiply])).
% 0.59/0.86 thf(zip_derived_cl393, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (divide @ X1 @ X0)) = (X1))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl366, zip_derived_cl149, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl120, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.86 ((divide @ (multiply @ X2 @ X0) @ (multiply @ X2 @ (divide @ X0 @ X1)))
% 0.59/0.86 = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl3])).
% 0.59/0.86 thf(zip_derived_cl440, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]: ((divide @ (multiply @ X1 @ X0) @ X0) = (X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl120])).
% 0.59/0.86 thf(zip_derived_cl393, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ (divide @ X1 @ X0)) = (X1))),
% 0.59/0.86 inference('demod', [status(thm)],
% 0.59/0.86 [zip_derived_cl366, zip_derived_cl149, zip_derived_cl1])).
% 0.59/0.86 thf(zip_derived_cl457, plain,
% 0.59/0.86 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.59/0.86 inference('sup+', [status(thm)], [zip_derived_cl440, zip_derived_cl393])).
% 0.59/0.86 thf(zip_derived_cl479, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 0.59/0.86 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl457])).
% 0.59/0.86 thf(zip_derived_cl480, plain, ($false),
% 0.59/0.86 inference('simplify', [status(thm)], [zip_derived_cl479])).
% 0.59/0.86
% 0.59/0.86 % SZS output end Refutation
% 0.59/0.86
% 0.59/0.86
% 0.59/0.86 % Terminating...
% 0.62/0.96 % Runner terminated.
% 0.62/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------