%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP516-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ubtM4IcOym true
% Computer : n013.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 0.51s 0.99s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP516-1 : TPTP v9.2.0. Bugfixed v2.7.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ubtM4IcOym true
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 14:05:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.49/0.64 % Total configuration time : 435
% 0.49/0.64 % Estimated wc time : 1092
% 0.49/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.99 % Solved by fo/fo13.sh.
% 0.51/0.99 % done 20 iterations in 0.126s
% 0.51/0.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.99 % SZS output start Refutation
% 0.51/0.99 thf(b_type, type, b: $i).
% 0.51/0.99 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.51/0.99 thf(inverse_type, type, inverse: $i > $i).
% 0.51/0.99 thf(a_type, type, a: $i).
% 0.51/0.99 thf(prove_these_axioms_4, conjecture,
% 0.51/0.99 (( multiply @ a @ b ) = ( multiply @ b @ a ))).
% 0.51/0.99 thf(zf_stmt_0, negated_conjecture,
% 0.51/0.99 (( multiply @ a @ b ) != ( multiply @ b @ a )),
% 0.51/0.99 inference('cnf.neg', [status(esa)], [prove_these_axioms_4])).
% 0.51/0.99 thf(zip_derived_cl1, plain, (((multiply @ a @ b) != (multiply @ b @ a))),
% 0.51/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.51/0.99 thf(single_axiom, axiom,
% 0.51/0.99 (( multiply @
% 0.51/0.99 A @
% 0.51/0.99 ( multiply @ ( multiply @ B @ C ) @ ( inverse @ ( multiply @ A @ C ) ) ) ) =
% 0.51/0.99 ( B ))).
% 0.51/0.99 thf(zip_derived_cl0, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.51/0.99 = (X0))),
% 0.51/0.99 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.99 thf(zip_derived_cl0, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.51/0.99 = (X0))),
% 0.51/0.99 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.99 thf(zip_derived_cl0, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.51/0.99 = (X0))),
% 0.51/0.99 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.99 thf(zip_derived_cl2, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.99 ((multiply @ X3 @
% 0.51/0.99 (multiply @ X0 @
% 0.51/0.99 (inverse @
% 0.51/0.99 (multiply @ X3 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @
% 0.51/0.99 (inverse @ (multiply @ X1 @ X2)))))))
% 0.51/0.99 = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.99 thf(zip_derived_cl10, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i]:
% 0.51/0.99 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.51/0.99 thf(zip_derived_cl2, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.99 ((multiply @ X3 @
% 0.51/0.99 (multiply @ X0 @
% 0.51/0.99 (inverse @
% 0.51/0.99 (multiply @ X3 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @
% 0.51/0.99 (inverse @ (multiply @ X1 @ X2)))))))
% 0.51/0.99 = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.99 thf(zip_derived_cl34, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i]:
% 0.51/0.99 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.51/0.99 thf(zip_derived_cl2, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.99 ((multiply @ X3 @
% 0.51/0.99 (multiply @ X0 @
% 0.51/0.99 (inverse @
% 0.51/0.99 (multiply @ X3 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @
% 0.51/0.99 (inverse @ (multiply @ X1 @ X2)))))))
% 0.51/0.99 = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.99 thf(zip_derived_cl48, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ (multiply @ X2 @ X0) @
% 0.51/0.99 (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X2))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 0.51/0.99 thf(zip_derived_cl0, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.51/0.99 = (X0))),
% 0.51/0.99 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.99 thf(zip_derived_cl0, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.51/0.99 = (X0))),
% 0.51/0.99 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.99 thf(zip_derived_cl4, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.99 ((multiply @ X3 @
% 0.51/0.99 (multiply @
% 0.51/0.99 (multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @
% 0.51/0.99 (inverse @ (multiply @ X3 @ X2)))) @
% 0.51/0.99 (inverse @ X0)))
% 0.51/0.99 = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.99 thf(zip_derived_cl48, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ (multiply @ X2 @ X0) @
% 0.51/0.99 (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X2))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 0.51/0.99 thf(zip_derived_cl2, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.99 ((multiply @ X3 @
% 0.51/0.99 (multiply @ X0 @
% 0.51/0.99 (inverse @
% 0.51/0.99 (multiply @ X3 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @
% 0.51/0.99 (inverse @ (multiply @ X1 @ X2)))))))
% 0.51/0.99 = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.99 thf(zip_derived_cl85, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ (inverse @ X0)))
% 0.51/0.99 = (multiply @ X2 @ X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl2])).
% 0.51/0.99 thf(zip_derived_cl34, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i]:
% 0.51/0.99 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.51/0.99 thf(zip_derived_cl0, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.51/0.99 = (X0))),
% 0.51/0.99 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.99 thf(zip_derived_cl0, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.51/0.99 = (X0))),
% 0.51/0.99 inference('cnf', [status(esa)], [single_axiom])).
% 0.51/0.99 thf(zip_derived_cl3, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.99 ((multiply @ X3 @
% 0.51/0.99 (multiply @
% 0.51/0.99 (multiply @ X1 @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @
% 0.51/0.99 (inverse @ (multiply @ X3 @ X2)))) @
% 0.51/0.99 (inverse @ X0)))
% 0.51/0.99 = (X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.51/0.99 thf(zip_derived_cl49, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ X2 @ (multiply @ (multiply @ X1 @ X0) @ (inverse @ X1)))
% 0.51/0.99 = (multiply @ X2 @ X0))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl3])).
% 0.51/0.99 thf(zip_derived_cl118, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 0.51/0.99 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl49])).
% 0.51/0.99 thf(zip_derived_cl188, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.51/0.99 ((multiply @ X3 @
% 0.51/0.99 (multiply @ (multiply @ X1 @ (inverse @ X0)) @
% 0.51/0.99 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X3 @ X2)))))
% 0.51/0.99 = (X1))),
% 0.51/0.99 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl118])).
% 0.51/0.99 thf(zip_derived_cl205, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i]:
% 0.51/0.99 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl188])).
% 0.51/0.99 thf(zip_derived_cl118, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 0.51/0.99 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl49])).
% 0.51/0.99 thf(zip_derived_cl275, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.51/0.99 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X1) @ X0)
% 0.51/0.99 = (multiply @ X0 @ X1))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl118])).
% 0.51/0.99 thf(zip_derived_cl205, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i]:
% 0.51/0.99 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 0.51/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl188])).
% 0.51/0.99 thf(zip_derived_cl305, plain,
% 0.51/0.99 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.51/0.99 inference('demod', [status(thm)], [zip_derived_cl275, zip_derived_cl205])).
% 0.51/0.99 thf(zip_derived_cl314, plain, (((multiply @ a @ b) != (multiply @ a @ b))),
% 0.51/0.99 inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl305])).
% 0.51/0.99 thf(zip_derived_cl315, plain, ($false),
% 0.51/0.99 inference('simplify', [status(thm)], [zip_derived_cl314])).
% 0.51/0.99
% 0.51/0.99 % SZS output end Refutation
% 0.51/0.99
% 0.51/0.99
% 0.51/0.99 % Terminating...
% 1.37/1.10 % Runner terminated.
% 1.37/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------