%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP421-1 : 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.IAUp9Iobgu true
% Computer : n031.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 04:36:25 PM UTC 2025
% Result : Unsatisfiable 7.15s 1.61s
% Output : Refutation 7.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP421-1 : TPTP v9.2.0. Released v2.6.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IAUp9Iobgu true
% 0.12/0.35 % Computer : n031.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 14:09:38 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.6.8
% 0.12/0.36 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.15/1.61 % Solved by fo/fo4.sh.
% 7.15/1.61 % done 64 iterations in 0.824s
% 7.15/1.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.15/1.61 % SZS output start Refutation
% 7.15/1.61 thf(b1_type, type, b1: $i).
% 7.15/1.61 thf(inverse_type, type, inverse: $i > $i).
% 7.15/1.61 thf(multiply_type, type, multiply: $i > $i > $i).
% 7.15/1.61 thf(a1_type, type, a1: $i).
% 7.15/1.61 thf(single_axiom, axiom,
% 7.15/1.61 (( inverse @
% 7.15/1.61 ( multiply @
% 7.15/1.61 ( inverse @
% 7.15/1.61 ( multiply @
% 7.15/1.61 A @
% 7.15/1.61 ( inverse @
% 7.15/1.61 ( multiply @
% 7.15/1.61 ( inverse @ B ) @
% 7.15/1.61 ( multiply @
% 7.15/1.61 ( inverse @ C ) @
% 7.15/1.61 ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) ) ) ) ) ) @
% 7.15/1.61 ( multiply @ A @ C ) ) ) =
% 7.15/1.61 ( B ))).
% 7.15/1.61 thf(zip_derived_cl0, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X1 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @ (inverse @ X2) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 7.15/1.61 (multiply @ X1 @ X2)))
% 7.15/1.61 = (X0))),
% 7.15/1.61 inference('cnf', [status(esa)], [single_axiom])).
% 7.15/1.61 thf(zip_derived_cl0, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X1 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @ (inverse @ X2) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 7.15/1.61 (multiply @ X1 @ X2)))
% 7.15/1.61 = (X0))),
% 7.15/1.61 inference('cnf', [status(esa)], [single_axiom])).
% 7.15/1.61 thf(zip_derived_cl5, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 7.15/1.61 = (multiply @ (inverse @ X1) @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.15/1.61 thf(zip_derived_cl0, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X1 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @ (inverse @ X2) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 7.15/1.61 (multiply @ X1 @ X2)))
% 7.15/1.61 = (X0))),
% 7.15/1.61 inference('cnf', [status(esa)], [single_axiom])).
% 7.15/1.61 thf(zip_derived_cl0, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X1 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @ (inverse @ X2) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 7.15/1.61 (multiply @ X1 @ X2)))
% 7.15/1.61 = (X0))),
% 7.15/1.61 inference('cnf', [status(esa)], [single_axiom])).
% 7.15/1.61 thf(zip_derived_cl2, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X4 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X0 @
% 7.15/1.61 (multiply @ (inverse @ X3) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X3) @ X3))))))) @
% 7.15/1.61 (multiply @ X4 @ X3)))
% 7.15/1.61 = (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X2 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @ (inverse @ X1) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X1) @ X1))))))) @
% 7.15/1.61 (multiply @ X2 @ X1)))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.15/1.61 thf(zip_derived_cl0, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X1 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @ (inverse @ X2) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 7.15/1.61 (multiply @ X1 @ X2)))
% 7.15/1.61 = (X0))),
% 7.15/1.61 inference('cnf', [status(esa)], [single_axiom])).
% 7.15/1.61 thf(zip_derived_cl157, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X1 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (inverse @ X2)) @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 7.15/1.61 (multiply @ X1 @ X0)) = (X2))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.15/1.61 thf(zip_derived_cl406, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 7.15/1.61 (multiply @ X1 @ X0)))) @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 7.15/1.61 = (X2))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl157])).
% 7.15/1.61 thf(zip_derived_cl5, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 7.15/1.61 = (multiply @ (inverse @ X1) @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 7.15/1.61 thf(zip_derived_cl0, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X1 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (multiply @ (inverse @ X2) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 7.15/1.61 (multiply @ X1 @ X2)))
% 7.15/1.61 = (X0))),
% 7.15/1.61 inference('cnf', [status(esa)], [single_axiom])).
% 7.15/1.61 thf(zip_derived_cl16, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 7.15/1.61 (multiply @ X1 @ X0)))) @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 7.15/1.61 = (X2))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 7.15/1.61 thf(zip_derived_cl16, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((inverse @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 7.15/1.61 (multiply @ X1 @ X0)))) @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 7.15/1.61 = (X2))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 7.15/1.61 thf(zip_derived_cl157, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.15/1.61 ((multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X1 @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (inverse @ X2)) @
% 7.15/1.61 (multiply @ (inverse @ X0) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 7.15/1.61 (multiply @ X1 @ X0)) = (X2))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 7.15/1.61 thf(zip_derived_cl407, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.15/1.61 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 7.15/1.61 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 7.15/1.61 (multiply @ X2 @ X1)))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl157])).
% 7.15/1.61 thf(zip_derived_cl525, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.15/1.61 ((multiply @ X0 @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 7.15/1.61 (multiply @ X4 @ X3)))) @
% 7.15/1.61 X1))
% 7.15/1.61 = (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X2 @
% 7.15/1.61 (multiply @ (inverse @ X3) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X3) @ X3))))) @
% 7.15/1.61 (multiply @ X2 @ X1)))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl407])).
% 7.15/1.61 thf(zip_derived_cl525, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.15/1.61 ((multiply @ X0 @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 7.15/1.61 (multiply @ X4 @ X3)))) @
% 7.15/1.61 X1))
% 7.15/1.61 = (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ X2 @
% 7.15/1.61 (multiply @ (inverse @ X3) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X3) @ X3))))) @
% 7.15/1.61 (multiply @ X2 @ X1)))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl407])).
% 7.15/1.61 thf(zip_derived_cl588, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.15/1.61 ((multiply @ X5 @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 7.15/1.61 (multiply @ X4 @ X1)))) @
% 7.15/1.61 X0))
% 7.15/1.61 = (multiply @ X3 @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 7.15/1.61 (multiply @ X2 @ X1)))) @
% 7.15/1.61 X0)))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl525])).
% 7.15/1.61 thf(zip_derived_cl864, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 7.15/1.61 ((multiply @ X4 @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 7.15/1.61 (multiply @ X3 @ X1)))) @
% 7.15/1.61 (multiply @ (inverse @ X1) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 7.15/1.61 = (multiply @ (inverse @ X0) @ X0))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 7.15/1.61 thf(zip_derived_cl864, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 7.15/1.61 ((multiply @ X4 @
% 7.15/1.61 (multiply @
% 7.15/1.61 (inverse @
% 7.15/1.61 (inverse @
% 7.15/1.61 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 7.15/1.61 (multiply @ X3 @ X1)))) @
% 7.15/1.61 (multiply @ (inverse @ X1) @
% 7.15/1.61 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 7.15/1.61 = (multiply @ (inverse @ X0) @ X0))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 7.15/1.61 thf(zip_derived_cl1149, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i]:
% 7.15/1.61 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 7.15/1.61 thf(prove_these_axioms_1, conjecture,
% 7.15/1.61 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 7.15/1.61 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 7.15/1.61 thf(zf_stmt_0, negated_conjecture,
% 7.15/1.61 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 7.15/1.61 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 7.15/1.61 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 7.15/1.61 thf(zip_derived_cl1, plain,
% 7.15/1.61 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 7.15/1.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.15/1.61 thf(zip_derived_cl1386, plain,
% 7.15/1.61 (![X0 : $i]:
% 7.15/1.61 ((multiply @ (inverse @ X0) @ X0) != (multiply @ (inverse @ b1) @ b1))),
% 7.15/1.61 inference('sup-', [status(thm)], [zip_derived_cl1149, zip_derived_cl1])).
% 7.15/1.61 thf(zip_derived_cl1149, plain,
% 7.15/1.61 (![X0 : $i, X1 : $i]:
% 7.15/1.61 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 7.15/1.61 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 7.15/1.61 thf(zip_derived_cl1480, plain, ($false),
% 7.15/1.61 inference('simplify_reflect+', [status(thm)],
% 7.15/1.61 [zip_derived_cl1386, zip_derived_cl1149])).
% 7.15/1.61
% 7.15/1.61 % SZS output end Refutation
% 7.15/1.61
% 7.15/1.61
% 7.15/1.62 % Terminating...
% 7.30/1.65 % Runner terminated.
% 7.30/1.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------