%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP513-1 : 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.K9aQYtmAsp true
% Computer : n011.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 0.34s 1.17s
% Output : Refutation 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : GRP513-1 : TPTP v9.2.0. Released v2.6.0.
% 0.03/0.18 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K9aQYtmAsp true
% 0.07/0.38 % Computer : n011.cluster.edu
% 0.07/0.38 % Model : x86_64 x86_64
% 0.07/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.38 % Memory : 8042.1875MB
% 0.07/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.38 % CPULimit : 300
% 0.07/0.39 % WCLimit : 300
% 0.07/0.39 % DateTime : Wed Oct 1 14:23:08 EDT 2025
% 0.07/0.39 % CPUTime :
% 0.07/0.39 % Running portfolio for 300 s
% 0.07/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.40 % Number of cores: 8
% 0.07/0.40 % Python version: Python 3.6.8
% 0.07/0.41 % Running in FO mode
% 0.29/0.70 % Total configuration time : 435
% 0.29/0.70 % Estimated wc time : 1092
% 0.29/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.33/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.33/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.34/0.90 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.34/0.92 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.34/0.92 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.34/0.95 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.34/0.96 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.34/1.17 % Solved by fo/fo7.sh.
% 0.34/1.17 % done 36 iterations in 0.198s
% 0.34/1.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.34/1.17 % SZS output start Refutation
% 0.34/1.17 thf(b1_type, type, b1: $i).
% 0.34/1.17 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.34/1.17 thf(inverse_type, type, inverse: $i > $i).
% 0.34/1.17 thf(a1_type, type, a1: $i).
% 0.34/1.17 thf(prove_these_axioms_1, conjecture,
% 0.34/1.17 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.34/1.17 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.34/1.17 thf(zf_stmt_0, negated_conjecture,
% 0.34/1.17 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.34/1.17 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.34/1.17 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.34/1.17 thf(zip_derived_cl1, plain,
% 0.34/1.17 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.34/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.34/1.17 thf(single_axiom, axiom,
% 0.34/1.17 (( multiply @
% 0.34/1.17 A @
% 0.34/1.17 ( multiply @ ( multiply @ B @ C ) @ ( inverse @ ( multiply @ A @ C ) ) ) ) =
% 0.34/1.17 ( B ))).
% 0.34/1.17 thf(zip_derived_cl0, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X1 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.34/1.17 = (X0))),
% 0.34/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 0.34/1.17 thf(zip_derived_cl0, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X1 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.34/1.17 = (X0))),
% 0.34/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 0.34/1.17 thf(zip_derived_cl0, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X1 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.34/1.17 = (X0))),
% 0.34/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 0.34/1.17 thf(zip_derived_cl0, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X1 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.34/1.17 = (X0))),
% 0.34/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 0.34/1.17 thf(zip_derived_cl2, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.34/1.17 ((multiply @ X3 @
% 0.34/1.17 (multiply @ X0 @
% 0.34/1.17 (inverse @
% 0.34/1.17 (multiply @ X3 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @
% 0.34/1.17 (inverse @ (multiply @ X1 @ X2)))))))
% 0.34/1.17 = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.34/1.17 thf(zip_derived_cl10, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl2, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.34/1.17 ((multiply @ X3 @
% 0.34/1.17 (multiply @ X0 @
% 0.34/1.17 (inverse @
% 0.34/1.17 (multiply @ X3 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @
% 0.34/1.17 (inverse @ (multiply @ X1 @ X2)))))))
% 0.34/1.17 = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.34/1.17 thf(zip_derived_cl16, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.34/1.17 ((multiply @ X3 @
% 0.34/1.17 (multiply @ X0 @
% 0.34/1.17 (inverse @
% 0.34/1.17 (multiply @ X3 @
% 0.34/1.17 (multiply @ X0 @
% 0.34/1.17 (inverse @ (multiply @ X1 @ (multiply @ X2 @ (inverse @ X2)))))))))
% 0.34/1.17 = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl10, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl21, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X3 : $i]:
% 0.34/1.17 ((multiply @ X3 @
% 0.34/1.17 (multiply @ X0 @
% 0.34/1.17 (inverse @ (multiply @ X3 @ (multiply @ X0 @ (inverse @ X1))))))
% 0.34/1.17 = (X1))),
% 0.34/1.17 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl10])).
% 0.34/1.17 thf(zip_derived_cl96, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X2 @ (multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)))
% 0.34/1.17 = (multiply @ X2 @ X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 0.34/1.17 thf(zip_derived_cl10, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ X1 @ (multiply @ X0 @ (inverse @ X0))) = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl2, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.34/1.17 ((multiply @ X3 @
% 0.34/1.17 (multiply @ X0 @
% 0.34/1.17 (inverse @
% 0.34/1.17 (multiply @ X3 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @
% 0.34/1.17 (inverse @ (multiply @ X1 @ X2)))))))
% 0.34/1.17 = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.34/1.17 thf(zip_derived_cl19, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl2, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.34/1.17 ((multiply @ X3 @
% 0.34/1.17 (multiply @ X0 @
% 0.34/1.17 (inverse @
% 0.34/1.17 (multiply @ X3 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @
% 0.34/1.17 (inverse @ (multiply @ X1 @ X2)))))))
% 0.34/1.17 = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.34/1.17 thf(zip_derived_cl28, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ (multiply @ X2 @ X0) @
% 0.34/1.17 (multiply @ X1 @ (inverse @ (multiply @ X1 @ X0)))) = (X2))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl2, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.34/1.17 ((multiply @ X3 @
% 0.34/1.17 (multiply @ X0 @
% 0.34/1.17 (inverse @
% 0.34/1.17 (multiply @ X3 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @
% 0.34/1.17 (inverse @ (multiply @ X1 @ X2)))))))
% 0.34/1.17 = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 0.34/1.17 thf(zip_derived_cl35, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ (multiply @ X0 @ X1) @ (multiply @ X2 @ (inverse @ X0)))
% 0.34/1.17 = (multiply @ X2 @ X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl115, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 0.34/1.17 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl35])).
% 0.34/1.17 thf(zip_derived_cl19, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl151, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X1 @ (multiply @ (multiply @ X2 @ (inverse @ X1)) @ X0))
% 0.34/1.17 = (multiply @ X2 @ X0))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl19])).
% 0.34/1.17 thf(zip_derived_cl0, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X1 @
% 0.34/1.17 (multiply @ (multiply @ X0 @ X2) @ (inverse @ (multiply @ X1 @ X2))))
% 0.34/1.17 = (X0))),
% 0.34/1.17 inference('cnf', [status(esa)], [single_axiom])).
% 0.34/1.17 thf(zip_derived_cl214, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ X1 @ (inverse @ (multiply @ X0 @ (inverse @ X0)))) = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl0])).
% 0.34/1.17 thf(zip_derived_cl19, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ X0 @ (multiply @ X1 @ (inverse @ X0))) = (X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 0.34/1.17 thf(zip_derived_cl360, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl19])).
% 0.34/1.17 thf(zip_derived_cl115, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ (multiply @ X2 @ X1) @ X0)
% 0.34/1.17 = (multiply @ (multiply @ X2 @ X0) @ X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl35])).
% 0.34/1.17 thf(zip_derived_cl400, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ (multiply @ (multiply @ X2 @ (inverse @ X2)) @ X1) @ X0)
% 0.34/1.17 = (multiply @ X0 @ X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl115])).
% 0.34/1.17 thf(zip_derived_cl360, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ (multiply @ X1 @ (inverse @ X1)) @ X0) = (X0))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl19])).
% 0.34/1.17 thf(zip_derived_cl444, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.34/1.17 inference('demod', [status(thm)], [zip_derived_cl400, zip_derived_cl360])).
% 0.34/1.17 thf(zip_derived_cl444, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]: ((multiply @ X1 @ X0) = (multiply @ X0 @ X1))),
% 0.34/1.17 inference('demod', [status(thm)], [zip_derived_cl400, zip_derived_cl360])).
% 0.34/1.17 thf(zip_derived_cl462, plain,
% 0.34/1.17 (((multiply @ a1 @ (inverse @ a1)) != (multiply @ b1 @ (inverse @ b1)))),
% 0.34/1.17 inference('demod', [status(thm)],
% 0.34/1.17 [zip_derived_cl1, zip_derived_cl444, zip_derived_cl444])).
% 0.34/1.17 thf(zip_derived_cl151, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X1 @ (multiply @ (multiply @ X2 @ (inverse @ X1)) @ X0))
% 0.34/1.17 = (multiply @ X2 @ X0))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl115, zip_derived_cl19])).
% 0.34/1.17 thf(zip_derived_cl96, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.34/1.17 ((multiply @ X2 @ (multiply @ (multiply @ X0 @ X1) @ (inverse @ X0)))
% 0.34/1.17 = (multiply @ X2 @ X1))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 0.34/1.17 thf(zip_derived_cl220, plain,
% 0.34/1.17 (![X0 : $i, X1 : $i]:
% 0.34/1.17 ((multiply @ X0 @ (inverse @ X0)) = (multiply @ X1 @ (inverse @ X1)))),
% 0.34/1.17 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl96])).
% 0.34/1.17 thf(zip_derived_cl463, plain, ($false),
% 0.34/1.17 inference('simplify_reflect+', [status(thm)],
% 0.34/1.17 [zip_derived_cl462, zip_derived_cl220])).
% 0.34/1.17
% 0.34/1.17 % SZS output end Refutation
% 0.34/1.17
% 0.34/1.17
% 0.34/1.17 % Terminating...
% 2.41/1.35 % Runner terminated.
% 2.41/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------