TSTP Solution File: GRP518-1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP518-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OAKix0HyvU 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 01:51:57 EDT 2023
% Result : Unsatisfiable 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP518-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OAKix0HyvU true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 02:26:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.51/0.66 % Total configuration time : 435
% 0.51/0.66 % Estimated wc time : 1092
% 0.51/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % Solved by fo/fo6_bce.sh.
% 0.57/0.76 % BCE start: 2
% 0.57/0.76 % BCE eliminated: 0
% 0.57/0.76 % PE start: 2
% 0.57/0.76 logic: eq
% 0.57/0.76 % PE eliminated: 0
% 0.57/0.76 % done 14 iterations in 0.032s
% 0.57/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.76 % SZS output start Refutation
% 0.57/0.76 thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.76 thf(a2_type, type, a2: $i).
% 0.57/0.76 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.76 thf(b2_type, type, b2: $i).
% 0.57/0.76 thf(single_axiom, axiom,
% 0.57/0.76 (( multiply @
% 0.57/0.76 A @
% 0.57/0.76 ( multiply @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) @ B ) ) =
% 0.57/0.76 ( C ))).
% 0.57/0.76 thf(zip_derived_cl0, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.57/0.76 = (X0))),
% 0.57/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.76 thf(zip_derived_cl0, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.57/0.76 = (X0))),
% 0.57/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.76 thf(zip_derived_cl3, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.76 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 0.57/0.76 = (multiply @
% 0.57/0.76 (multiply @
% 0.57/0.76 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 0.57/0.76 X0) @
% 0.57/0.76 X1))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.76 thf(zip_derived_cl0, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.57/0.76 = (X0))),
% 0.57/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.76 thf(zip_derived_cl0, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.57/0.76 = (X0))),
% 0.57/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.76 thf(zip_derived_cl0, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.57/0.76 = (X0))),
% 0.57/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.76 thf(zip_derived_cl0, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.57/0.76 = (X0))),
% 0.57/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.76 thf(zip_derived_cl2, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.76 ((multiply @ X3 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ X0) @ X1) @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X0) @ X2)))
% 0.57/0.76 = (X1))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.76 thf(zip_derived_cl25, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i]:
% 0.57/0.76 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.57/0.76 thf(zip_derived_cl43, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X0 @ X2)
% 0.57/0.76 = (multiply @
% 0.57/0.76 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X1)) @ X0) @
% 0.57/0.76 X1))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 0.57/0.76 thf(zip_derived_cl0, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.57/0.76 = (X0))),
% 0.57/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.76 thf(zip_derived_cl48, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i]:
% 0.57/0.76 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 0.57/0.76 thf(zip_derived_cl48, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i]:
% 0.57/0.76 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 0.57/0.76 thf(zip_derived_cl63, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i]:
% 0.57/0.76 ((multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (inverse @ X1))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl48])).
% 0.57/0.76 thf(zip_derived_cl43, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X0 @ X2)
% 0.57/0.76 = (multiply @
% 0.57/0.76 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X1)) @ X0) @
% 0.57/0.76 X1))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 0.57/0.76 thf(zip_derived_cl92, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i]:
% 0.57/0.76 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.57/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl43])).
% 0.57/0.76 thf(prove_these_axioms_2, conjecture,
% 0.57/0.76 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 0.57/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.76 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 0.57/0.76 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 0.57/0.76 thf(zip_derived_cl1, plain,
% 0.57/0.76 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 0.57/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.76 thf(zip_derived_cl159, plain,
% 0.57/0.76 (![X0 : $i]: ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))),
% 0.57/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl1])).
% 0.57/0.76 thf(zip_derived_cl189, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X0)) @ a2) @ X0))
% 0.57/0.76 != (a2))),
% 0.57/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl159])).
% 0.57/0.76 thf(zip_derived_cl0, plain,
% 0.57/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.76 ((multiply @ X1 @
% 0.57/0.76 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 0.57/0.76 = (X0))),
% 0.57/0.76 inference('cnf', [status(esa)], [single_axiom])).
% 0.57/0.76 thf(zip_derived_cl195, plain, (((a2) != (a2))),
% 0.57/0.76 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl0])).
% 0.57/0.76 thf(zip_derived_cl196, plain, ($false),
% 0.57/0.76 inference('simplify', [status(thm)], [zip_derived_cl195])).
% 0.57/0.76
% 0.57/0.76 % SZS output end Refutation
% 0.57/0.76
% 0.57/0.76
% 0.57/0.76 % Terminating...
% 1.46/0.86 % Runner terminated.
% 1.46/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------