TSTP Solution File: GRP529-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP529-1 : 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.RgR1oSOK0L true
% Computer : n021.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 01:52:00 EDT 2023
% Result : Unsatisfiable 0.51s 0.73s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP529-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RgR1oSOK0L true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:26:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.51/0.65 % Total configuration time : 435
% 0.51/0.65 % Estimated wc time : 1092
% 0.51/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.73 % Solved by fo/fo6_bce.sh.
% 0.51/0.73 % BCE start: 4
% 0.51/0.73 % BCE eliminated: 0
% 0.51/0.73 % PE start: 4
% 0.51/0.73 logic: eq
% 0.51/0.73 % PE eliminated: 0
% 0.51/0.73 % done 27 iterations in 0.020s
% 0.51/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.73 % SZS output start Refutation
% 0.51/0.73 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.51/0.73 thf(b1_type, type, b1: $i).
% 0.51/0.73 thf(a1_type, type, a1: $i).
% 0.51/0.73 thf(divide_type, type, divide: $i > $i > $i).
% 0.51/0.73 thf(inverse_type, type, inverse: $i > $i).
% 0.51/0.73 thf(multiply, axiom,
% 0.51/0.73 (( multiply @ A @ B ) =
% 0.51/0.73 ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 0.51/0.73 thf(zip_derived_cl1, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.73 ((multiply @ X0 @ X2)
% 0.51/0.73 = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.51/0.73 inference('cnf', [status(esa)], [multiply])).
% 0.51/0.73 thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 0.51/0.73 thf(zip_derived_cl2, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.51/0.73 inference('cnf', [status(esa)], [inverse])).
% 0.51/0.73 thf(zip_derived_cl43, plain,
% 0.51/0.73 (![X0 : $i, X2 : $i]:
% 0.51/0.73 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.51/0.73 thf(zip_derived_cl43, plain,
% 0.51/0.73 (![X0 : $i, X2 : $i]:
% 0.51/0.73 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.51/0.73 thf(zip_derived_cl2, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.51/0.73 inference('cnf', [status(esa)], [inverse])).
% 0.51/0.73 thf(zip_derived_cl2, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.51/0.73 inference('cnf', [status(esa)], [inverse])).
% 0.51/0.73 thf(zip_derived_cl4, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.51/0.73 thf(zip_derived_cl51, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ (inverse @ X0))
% 0.51/0.73 = (multiply @ (inverse @ (divide @ X1 @ X1)) @ X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl4])).
% 0.51/0.73 thf(zip_derived_cl2, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.51/0.73 inference('cnf', [status(esa)], [inverse])).
% 0.51/0.73 thf(zip_derived_cl2, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.51/0.73 inference('cnf', [status(esa)], [inverse])).
% 0.51/0.73 thf(single_axiom, axiom,
% 0.51/0.73 (( divide @ ( divide @ A @ ( divide @ B @ C ) ) @ ( divide @ A @ B ) ) =
% 0.51/0.73 ( C ))).
% 0.51/0.73 thf(zip_derived_cl0, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.73 ((divide @ (divide @ X1 @ (divide @ X2 @ X0)) @ (divide @ X1 @ X2))
% 0.51/0.73 = (X0))),
% 0.51/0.73 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.73 thf(zip_derived_cl13, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ (divide @ (divide @ X0 @ X1) @ X0)) = (X1))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.51/0.73 thf(zip_derived_cl27, plain,
% 0.51/0.73 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.51/0.73 thf(zip_derived_cl55, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((X0) = (multiply @ (inverse @ (divide @ X1 @ X1)) @ X0))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl27])).
% 0.51/0.73 thf(zip_derived_cl56, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((X1) = (multiply @ (inverse @ (multiply @ (inverse @ X0) @ X0)) @ X1))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl55])).
% 0.51/0.73 thf(zip_derived_cl43, plain,
% 0.51/0.73 (![X0 : $i, X2 : $i]:
% 0.51/0.73 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.51/0.73 thf(zip_derived_cl13, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ (divide @ (divide @ X0 @ X1) @ X0)) = (X1))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 0.51/0.73 thf(zip_derived_cl27, plain,
% 0.51/0.73 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.51/0.73 thf(zip_derived_cl32, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ X0) = (divide @ (divide @ X1 @ X0) @ X1))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl27])).
% 0.51/0.73 thf(zip_derived_cl48, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ (inverse @ X0)) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl32])).
% 0.51/0.73 thf(zip_derived_cl27, plain,
% 0.51/0.73 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.51/0.73 thf(zip_derived_cl53, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]: ((X0) = (divide @ (multiply @ X1 @ X0) @ X1))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl27])).
% 0.51/0.73 thf(zip_derived_cl43, plain,
% 0.51/0.73 (![X0 : $i, X2 : $i]:
% 0.51/0.73 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.51/0.73 thf(zip_derived_cl89, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((multiply @ (multiply @ (inverse @ X1) @ X0) @ X1) = (X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl43])).
% 0.51/0.73 thf(zip_derived_cl99, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((multiply @ X0 @ (multiply @ (inverse @ X1) @ X1)) = (X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl89])).
% 0.51/0.73 thf(zip_derived_cl43, plain,
% 0.51/0.73 (![X0 : $i, X2 : $i]:
% 0.51/0.73 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.51/0.73 thf(zip_derived_cl43, plain,
% 0.51/0.73 (![X0 : $i, X2 : $i]:
% 0.51/0.73 ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.51/0.73 thf(zip_derived_cl2, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.51/0.73 inference('cnf', [status(esa)], [inverse])).
% 0.51/0.73 thf(zip_derived_cl49, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((inverse @ (inverse @ X0)) = (multiply @ (divide @ X1 @ X1) @ X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl2])).
% 0.51/0.73 thf(zip_derived_cl27, plain,
% 0.51/0.73 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl13])).
% 0.51/0.73 thf(zip_derived_cl54, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]: ((X0) = (multiply @ (divide @ X1 @ X1) @ X0))),
% 0.51/0.73 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl27])).
% 0.51/0.73 thf(zip_derived_cl61, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((X1) = (multiply @ (multiply @ (inverse @ X0) @ X0) @ X1))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl54])).
% 0.51/0.73 thf(zip_derived_cl104, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl61])).
% 0.51/0.73 thf(prove_these_axioms_1, conjecture,
% 0.51/0.73 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.51/0.73 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.51/0.73 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.73 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.51/0.73 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.51/0.73 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.51/0.73 thf(zip_derived_cl3, plain,
% 0.51/0.73 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.51/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.73 thf(zip_derived_cl132, plain,
% 0.51/0.73 (![X0 : $i]:
% 0.51/0.73 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 0.51/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl104, zip_derived_cl3])).
% 0.51/0.73 thf(zip_derived_cl104, plain,
% 0.51/0.73 (![X0 : $i, X1 : $i]:
% 0.51/0.73 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.51/0.73 inference('s_sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl61])).
% 0.51/0.73 thf(zip_derived_cl152, plain, ($false),
% 0.51/0.73 inference('simplify_reflect+', [status(thm)],
% 0.51/0.73 [zip_derived_cl132, zip_derived_cl104])).
% 0.51/0.73
% 0.51/0.73 % SZS output end Refutation
% 0.51/0.73
% 0.51/0.73
% 0.51/0.73 % Terminating...
% 1.37/0.77 % Runner terminated.
% 1.37/0.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------