TSTP Solution File: GRP496-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP496-1 : 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.B1gbuF2OMX true
% Computer : n023.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 01:51:52 EDT 2023
% Result : Unsatisfiable 1.00s 0.69s
% Output : Refutation 1.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP496-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.B1gbuF2OMX true
% 0.10/0.30 % Computer : n023.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 28 23:26:40 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.16/0.55 % Total configuration time : 435
% 0.16/0.55 % Estimated wc time : 1092
% 0.16/0.55 % Estimated cpu time (7 cpus) : 156.0
% 1.00/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.00/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.00/0.66 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.00/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.00/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.00/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.00/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.00/0.69 % Solved by fo/fo6_bce.sh.
% 1.00/0.69 % BCE start: 5
% 1.00/0.69 % BCE eliminated: 0
% 1.00/0.69 % PE start: 5
% 1.00/0.69 logic: eq
% 1.00/0.69 % PE eliminated: 0
% 1.00/0.69 % done 7 iterations in 0.011s
% 1.00/0.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.00/0.69 % SZS output start Refutation
% 1.00/0.69 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.00/0.69 thf(a1_type, type, a1: $i).
% 1.00/0.69 thf(identity_type, type, identity: $i).
% 1.00/0.69 thf(double_divide_type, type, double_divide: $i > $i > $i).
% 1.00/0.69 thf(inverse_type, type, inverse: $i > $i).
% 1.00/0.69 thf(prove_these_axioms_1, conjecture,
% 1.00/0.69 (( multiply @ ( inverse @ a1 ) @ a1 ) = ( identity ))).
% 1.00/0.69 thf(zf_stmt_0, negated_conjecture,
% 1.00/0.69 (( multiply @ ( inverse @ a1 ) @ a1 ) != ( identity )),
% 1.00/0.69 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 1.00/0.69 thf(zip_derived_cl4, plain,
% 1.00/0.69 (((multiply @ (inverse @ a1) @ a1) != (identity))),
% 1.00/0.69 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.00/0.69 thf(inverse, axiom, (( inverse @ A ) = ( double_divide @ A @ identity ))).
% 1.00/0.69 thf(zip_derived_cl2, plain,
% 1.00/0.69 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.00/0.70 inference('cnf', [status(esa)], [inverse])).
% 1.00/0.70 thf(zip_derived_cl5, plain,
% 1.00/0.70 (((multiply @ (double_divide @ a1 @ identity) @ a1) != (identity))),
% 1.00/0.70 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.00/0.70 thf(multiply, axiom,
% 1.00/0.70 (( multiply @ A @ B ) =
% 1.00/0.70 ( double_divide @ ( double_divide @ B @ A ) @ identity ))).
% 1.00/0.70 thf(zip_derived_cl1, plain,
% 1.00/0.70 (![X0 : $i, X1 : $i]:
% 1.00/0.70 ((multiply @ X1 @ X0)
% 1.00/0.70 = (double_divide @ (double_divide @ X0 @ X1) @ identity))),
% 1.00/0.70 inference('cnf', [status(esa)], [multiply])).
% 1.00/0.70 thf(identity, axiom,
% 1.00/0.70 (( identity ) = ( double_divide @ A @ ( inverse @ A ) ))).
% 1.00/0.70 thf(zip_derived_cl3, plain,
% 1.00/0.70 (![X0 : $i]: ((identity) = (double_divide @ X0 @ (inverse @ X0)))),
% 1.00/0.70 inference('cnf', [status(esa)], [identity])).
% 1.00/0.70 thf(zip_derived_cl2, plain,
% 1.00/0.70 (![X0 : $i]: ((inverse @ X0) = (double_divide @ X0 @ identity))),
% 1.00/0.70 inference('cnf', [status(esa)], [inverse])).
% 1.00/0.70 thf(zip_derived_cl12, plain,
% 1.00/0.70 (![X0 : $i]:
% 1.00/0.70 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 1.00/0.70 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.00/0.70 thf(zip_derived_cl12, plain,
% 1.00/0.70 (![X0 : $i]:
% 1.00/0.70 ((identity) = (double_divide @ X0 @ (double_divide @ X0 @ identity)))),
% 1.00/0.70 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl2])).
% 1.00/0.70 thf(single_axiom, axiom,
% 1.00/0.70 (( double_divide @
% 1.00/0.70 ( double_divide @
% 1.00/0.70 identity @ ( double_divide @ A @ ( double_divide @ B @ identity ) ) ) @
% 1.00/0.70 ( double_divide @
% 1.00/0.70 ( double_divide @ B @ ( double_divide @ C @ A ) ) @ identity ) ) =
% 1.00/0.70 ( C ))).
% 1.00/0.70 thf(zip_derived_cl0, plain,
% 1.00/0.70 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.00/0.70 ((double_divide @
% 1.00/0.70 (double_divide @ identity @
% 1.00/0.70 (double_divide @ X1 @ (double_divide @ X2 @ identity))) @
% 1.00/0.70 (double_divide @ (double_divide @ X2 @ (double_divide @ X0 @ X1)) @
% 1.00/0.70 identity))
% 1.00/0.70 = (X0))),
% 1.00/0.70 inference('cnf', [status(esa)], [single_axiom])).
% 1.00/0.70 thf(zip_derived_cl16, plain,
% 1.00/0.70 (((identity) = (double_divide @ identity @ identity))),
% 1.00/0.70 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl0])).
% 1.00/0.70 thf(zip_derived_cl20, plain, (((identity) != (identity))),
% 1.00/0.70 inference('demod', [status(thm)],
% 1.00/0.70 [zip_derived_cl5, zip_derived_cl1, zip_derived_cl12,
% 1.00/0.70 zip_derived_cl16])).
% 1.00/0.70 thf(zip_derived_cl21, plain, ($false),
% 1.00/0.70 inference('simplify', [status(thm)], [zip_derived_cl20])).
% 1.00/0.70
% 1.00/0.70 % SZS output end Refutation
% 1.00/0.70
% 1.00/0.70
% 1.00/0.70 % Terminating...
% 1.37/0.77 % Runner terminated.
% 1.37/0.78 % Zipperpin 1.5 exiting
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