%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP518-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W2Z78AXMLN true
% Computer : n003.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 Oct 2 04:36:35 PM UTC 2025
% Result : Unsatisfiable 1.20s 0.83s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP518-1 : TPTP v9.2.0. 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.W2Z78AXMLN true
% 0.14/0.35 % Computer : n003.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 : Wed Oct 1 14:16:08 EDT 2025
% 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
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.93/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.93/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.93/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.93/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.93/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.93/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.93/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.83 % Solved by fo/fo6_bce.sh.
% 1.20/0.83 % BCE start: 2
% 1.20/0.83 % BCE eliminated: 0
% 1.20/0.83 % PE start: 2
% 1.20/0.83 logic: eq
% 1.20/0.83 % PE eliminated: 0
% 1.20/0.83 % done 14 iterations in 0.032s
% 1.20/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/0.83 % SZS output start Refutation
% 1.20/0.83 thf(inverse_type, type, inverse: $i > $i).
% 1.20/0.83 thf(a2_type, type, a2: $i).
% 1.20/0.83 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.20/0.83 thf(b2_type, type, b2: $i).
% 1.20/0.83 thf(single_axiom, axiom,
% 1.20/0.83 (( multiply @
% 1.20/0.83 A @
% 1.20/0.83 ( multiply @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) @ B ) ) =
% 1.20/0.83 ( C ))).
% 1.20/0.83 thf(zip_derived_cl0, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 1.20/0.83 = (X0))),
% 1.20/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.83 thf(zip_derived_cl0, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 1.20/0.83 = (X0))),
% 1.20/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.83 thf(zip_derived_cl3, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.20/0.83 ((multiply @ X3 @ (multiply @ X0 @ X2))
% 1.20/0.83 = (multiply @
% 1.20/0.83 (multiply @
% 1.20/0.83 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 1.20/0.83 X0) @
% 1.20/0.83 X1))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.20/0.83 thf(zip_derived_cl0, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 1.20/0.83 = (X0))),
% 1.20/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.83 thf(zip_derived_cl0, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 1.20/0.83 = (X0))),
% 1.20/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.83 thf(zip_derived_cl0, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 1.20/0.83 = (X0))),
% 1.20/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.83 thf(zip_derived_cl0, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 1.20/0.83 = (X0))),
% 1.20/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.83 thf(zip_derived_cl2, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.20/0.83 ((multiply @ X3 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ X0) @ X1) @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X0) @ X2)))
% 1.20/0.83 = (X1))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 1.20/0.83 thf(zip_derived_cl25, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i]:
% 1.20/0.83 ((multiply @ (multiply @ (inverse @ X0) @ X1) @ X0) = (X1))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.20/0.83 thf(zip_derived_cl43, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X0 @ X2)
% 1.20/0.83 = (multiply @
% 1.20/0.83 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X1)) @ X0) @
% 1.20/0.83 X1))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 1.20/0.83 thf(zip_derived_cl0, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 1.20/0.83 = (X0))),
% 1.20/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.83 thf(zip_derived_cl48, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i]:
% 1.20/0.83 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 1.20/0.83 thf(zip_derived_cl48, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i]:
% 1.20/0.83 ((multiply @ (inverse @ X0) @ (multiply @ X1 @ X0)) = (X1))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl0])).
% 1.20/0.83 thf(zip_derived_cl63, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i]:
% 1.20/0.83 ((multiply @ (inverse @ (multiply @ X0 @ X1)) @ X0) = (inverse @ X1))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl48])).
% 1.20/0.83 thf(zip_derived_cl43, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X0 @ X2)
% 1.20/0.83 = (multiply @
% 1.20/0.83 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X1)) @ X0) @
% 1.20/0.83 X1))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl25])).
% 1.20/0.83 thf(zip_derived_cl92, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i]:
% 1.20/0.83 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 1.20/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl43])).
% 1.20/0.83 thf(prove_these_axioms_2, conjecture,
% 1.20/0.83 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) = ( a2 ))).
% 1.20/0.83 thf(zf_stmt_0, negated_conjecture,
% 1.20/0.83 (( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 )),
% 1.20/0.83 inference('cnf.neg', [status(esa)], [prove_these_axioms_2])).
% 1.20/0.83 thf(zip_derived_cl1, plain,
% 1.20/0.83 (((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))),
% 1.20/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.20/0.83 thf(zip_derived_cl159, plain,
% 1.20/0.83 (![X0 : $i]: ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))),
% 1.20/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl1])).
% 1.20/0.83 thf(zip_derived_cl189, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X0)) @ a2) @ X0))
% 1.20/0.83 != (a2))),
% 1.20/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl159])).
% 1.20/0.83 thf(zip_derived_cl0, plain,
% 1.20/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/0.83 ((multiply @ X1 @
% 1.20/0.83 (multiply @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0) @ X2))
% 1.20/0.83 = (X0))),
% 1.20/0.83 inference('cnf', [status(esa)], [single_axiom])).
% 1.20/0.83 thf(zip_derived_cl195, plain, (((a2) != (a2))),
% 1.20/0.83 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl0])).
% 1.20/0.83 thf(zip_derived_cl196, plain, ($false),
% 1.20/0.83 inference('simplify', [status(thm)], [zip_derived_cl195])).
% 1.20/0.83
% 1.20/0.83 % SZS output end Refutation
% 1.20/0.83
% 1.20/0.83
% 1.20/0.84 % Terminating...
% 1.46/0.91 % Runner terminated.
% 1.46/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------