TSTP Solution File: GRP544-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP544-1 : 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.3mY7aqExjQ true
% Computer : n024.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 01:52:03 EDT 2023
% Result : Unsatisfiable 1.30s 0.79s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP544-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3mY7aqExjQ true
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 21:12:53 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.18/0.66 % Total configuration time : 435
% 0.18/0.66 % Estimated wc time : 1092
% 0.18/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.84/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.84/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.84/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.84/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.79 % Solved by fo/fo5.sh.
% 1.30/0.79 % done 48 iterations in 0.024s
% 1.30/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.79 % SZS output start Refutation
% 1.30/0.79 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.30/0.79 thf(b_type, type, b: $i).
% 1.30/0.79 thf(a_type, type, a: $i).
% 1.30/0.79 thf(identity_type, type, identity: $i).
% 1.30/0.79 thf(divide_type, type, divide: $i > $i > $i).
% 1.30/0.79 thf(inverse_type, type, inverse: $i > $i).
% 1.30/0.79 thf(prove_these_axioms_4, conjecture,
% 1.30/0.79 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 1.30/0.79 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.79 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 1.30/0.79 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 1.30/0.79 thf(zip_derived_cl4, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 1.30/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.79 thf(multiply, axiom,
% 1.30/0.79 (( multiply @ A @ B ) = ( divide @ A @ ( divide @ identity @ B ) ))).
% 1.30/0.79 thf(zip_derived_cl1, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((multiply @ X0 @ X1) = (divide @ X0 @ (divide @ identity @ X1)))),
% 1.30/0.79 inference('cnf', [status(esa)], [multiply])).
% 1.30/0.79 thf(inverse, axiom, (( inverse @ A ) = ( divide @ identity @ A ))).
% 1.30/0.79 thf(zip_derived_cl2, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [inverse])).
% 1.30/0.79 thf(zip_derived_cl6, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.30/0.79 thf(identity, axiom, (( identity ) = ( divide @ A @ A ))).
% 1.30/0.79 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [identity])).
% 1.30/0.79 thf(single_axiom, axiom,
% 1.30/0.79 (( divide @
% 1.30/0.79 ( divide @
% 1.30/0.79 identity @ ( divide @ ( divide @ ( divide @ A @ B ) @ C ) @ A ) ) @
% 1.30/0.79 C ) =
% 1.30/0.79 ( B ))).
% 1.30/0.79 thf(zip_derived_cl0, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.79 ((divide @
% 1.30/0.79 (divide @ identity @
% 1.30/0.79 (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @
% 1.30/0.79 X2) = (X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [single_axiom])).
% 1.30/0.79 thf(zip_derived_cl2, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [inverse])).
% 1.30/0.79 thf(zip_derived_cl9, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.79 ((divide @
% 1.30/0.79 (inverse @ (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @ X2)
% 1.30/0.79 = (X0))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl13, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((divide @ (inverse @ (divide @ identity @ X1)) @ (divide @ X1 @ X0))
% 1.30/0.79 = (X0))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 1.30/0.79 thf(zip_derived_cl2, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [inverse])).
% 1.30/0.79 thf(zip_derived_cl19, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((divide @ (inverse @ (inverse @ X1)) @ (divide @ X1 @ X0)) = (X0))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl2, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [inverse])).
% 1.30/0.79 thf(zip_derived_cl19, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((divide @ (inverse @ (inverse @ X1)) @ (divide @ X1 @ X0)) = (X0))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl62, plain,
% 1.30/0.79 (![X0 : $i]:
% 1.30/0.79 ((divide @ (inverse @ (inverse @ identity)) @ (inverse @ X0)) = (X0))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl19])).
% 1.30/0.79 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [identity])).
% 1.30/0.79 thf(zip_derived_cl2, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [inverse])).
% 1.30/0.79 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl5, plain, (((inverse @ identity) = (identity))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl2, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [inverse])).
% 1.30/0.79 thf(zip_derived_cl67, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.30/0.79 inference('demod', [status(thm)],
% 1.30/0.79 [zip_derived_cl62, zip_derived_cl5, zip_derived_cl5,
% 1.30/0.79 zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl71, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]: ((divide @ X1 @ (divide @ X1 @ X0)) = (X0))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl67])).
% 1.30/0.79 thf(zip_derived_cl90, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((divide @ X1 @ (multiply @ X1 @ X0)) = (inverse @ X0))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl71])).
% 1.30/0.79 thf(zip_derived_cl3, plain, (![X0 : $i]: ((identity) = (divide @ X0 @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [identity])).
% 1.30/0.79 thf(zip_derived_cl6, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl9, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.79 ((divide @
% 1.30/0.79 (inverse @ (divide @ (divide @ (divide @ X1 @ X0) @ X2) @ X1)) @ X2)
% 1.30/0.79 = (X0))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl14, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.79 ((divide @
% 1.30/0.79 (inverse @ (divide @ (multiply @ (divide @ X2 @ X1) @ X0) @ X2)) @
% 1.30/0.79 (inverse @ X0)) = (X1))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl9])).
% 1.30/0.79 thf(zip_derived_cl129, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((divide @ (inverse @ (divide @ (multiply @ identity @ X1) @ X0)) @
% 1.30/0.79 (inverse @ X1)) = (X0))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 1.30/0.79 thf(zip_derived_cl6, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl2, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ X0) = (divide @ identity @ X0))),
% 1.30/0.79 inference('cnf', [status(esa)], [inverse])).
% 1.30/0.79 thf(zip_derived_cl8, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (multiply @ identity @ X0))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl67, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.30/0.79 inference('demod', [status(thm)],
% 1.30/0.79 [zip_derived_cl62, zip_derived_cl5, zip_derived_cl5,
% 1.30/0.79 zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl70, plain,
% 1.30/0.79 (![X0 : $i]: ((X0) = (multiply @ identity @ X0))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl67])).
% 1.30/0.79 thf(zip_derived_cl6, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((multiply @ X0 @ X1) = (divide @ X0 @ (inverse @ X1)))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl142, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((multiply @ (inverse @ (divide @ X1 @ X0)) @ X1) = (X0))),
% 1.30/0.79 inference('demod', [status(thm)],
% 1.30/0.79 [zip_derived_cl129, zip_derived_cl70, zip_derived_cl6])).
% 1.30/0.79 thf(zip_derived_cl183, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]:
% 1.30/0.79 ((multiply @ (inverse @ (inverse @ X0)) @ X1) = (multiply @ X1 @ X0))),
% 1.30/0.79 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl142])).
% 1.30/0.79 thf(zip_derived_cl67, plain,
% 1.30/0.79 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 1.30/0.79 inference('demod', [status(thm)],
% 1.30/0.79 [zip_derived_cl62, zip_derived_cl5, zip_derived_cl5,
% 1.30/0.79 zip_derived_cl2])).
% 1.30/0.79 thf(zip_derived_cl191, plain,
% 1.30/0.79 (![X0 : $i, X1 : $i]: ((multiply @ X0 @ X1) = (multiply @ X1 @ X0))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl67])).
% 1.30/0.79 thf(zip_derived_cl240, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 1.30/0.79 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl191])).
% 1.30/0.79 thf(zip_derived_cl241, plain, ($false),
% 1.30/0.79 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 1.30/0.79
% 1.30/0.79 % SZS output end Refutation
% 1.30/0.79
% 1.30/0.79
% 1.30/0.79 % Terminating...
% 1.63/0.85 % Runner terminated.
% 1.63/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------