%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP403-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LX0W4kOqOZ true
% Computer : n016.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 04:36:23 PM UTC 2025
% Result : Unsatisfiable 10.03s 2.06s
% Output : Refutation 10.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP403-1 : TPTP v9.2.0. Released v2.6.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LX0W4kOqOZ true
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 14:23:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.03/2.06 % Solved by fo/fo4.sh.
% 10.03/2.06 % done 55 iterations in 1.315s
% 10.03/2.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.03/2.06 % SZS output start Refutation
% 10.03/2.06 thf(inverse_type, type, inverse: $i > $i).
% 10.03/2.06 thf(b1_type, type, b1: $i).
% 10.03/2.06 thf(multiply_type, type, multiply: $i > $i > $i).
% 10.03/2.06 thf(a1_type, type, a1: $i).
% 10.03/2.06 thf(single_axiom, axiom,
% 10.03/2.06 (( multiply @
% 10.03/2.06 A @
% 10.03/2.06 ( inverse @
% 10.03/2.06 ( multiply @
% 10.03/2.06 ( inverse @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) ) @
% 10.03/2.06 ( inverse @ ( multiply @ B @ ( multiply @ ( inverse @ B ) @ B ) ) ) ) ) ) =
% 10.03/2.06 ( C ))).
% 10.03/2.06 thf(zip_derived_cl0, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ X1 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (X0))),
% 10.03/2.06 inference('cnf', [status(esa)], [single_axiom])).
% 10.03/2.06 thf(zip_derived_cl0, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ X1 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (X0))),
% 10.03/2.06 inference('cnf', [status(esa)], [single_axiom])).
% 10.03/2.06 thf(zip_derived_cl0, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ X1 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (X0))),
% 10.03/2.06 inference('cnf', [status(esa)], [single_axiom])).
% 10.03/2.06 thf(zip_derived_cl3, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.03/2.06 ((multiply @ X3 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ X0) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 10.03/2.06 X0)) @
% 10.03/2.06 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 10.03/2.06 thf(zip_derived_cl3, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.03/2.06 ((multiply @ X3 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ X0) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 10.03/2.06 X0)) @
% 10.03/2.06 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 10.03/2.06 thf(zip_derived_cl0, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ X1 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (X0))),
% 10.03/2.06 inference('cnf', [status(esa)], [single_axiom])).
% 10.03/2.06 thf(zip_derived_cl15, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.03/2.06 (multiply @ X2 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ X1) @
% 10.03/2.06 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))))
% 10.03/2.06 = (X1))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 10.03/2.06 thf(zip_derived_cl51, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 10.03/2.06 (multiply @ X4 @
% 10.03/2.06 (multiply @ X2 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ X1) @
% 10.03/2.06 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))))))
% 10.03/2.06 = (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 10.03/2.06 X1))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 10.03/2.06 thf(zip_derived_cl72, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.03/2.06 = (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl51])).
% 10.03/2.06 thf(zip_derived_cl3, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.03/2.06 ((multiply @ X3 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ X0) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 10.03/2.06 X0)) @
% 10.03/2.06 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 10.03/2.06 thf(zip_derived_cl110, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.03/2.06 ((multiply @ X4 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X0)) @
% 10.03/2.06 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))))
% 10.03/2.06 = (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.03/2.06 (multiply @ X1 @ X0))) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl3])).
% 10.03/2.06 thf(zip_derived_cl0, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ X1 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (X0))),
% 10.03/2.06 inference('cnf', [status(esa)], [single_axiom])).
% 10.03/2.06 thf(zip_derived_cl197, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((X0)
% 10.03/2.06 = (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.03/2.06 (multiply @ X1 @ X0))) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 10.03/2.06 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 10.03/2.06 thf(zip_derived_cl0, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ X1 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))
% 10.03/2.06 = (X0))),
% 10.03/2.06 inference('cnf', [status(esa)], [single_axiom])).
% 10.03/2.06 thf(zip_derived_cl435, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ X0 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (multiply @ X2 @ X0) @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.03/2.06 (multiply @ X2 @ X0)))))))
% 10.03/2.06 = (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl0])).
% 10.03/2.06 thf(zip_derived_cl15, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.03/2.06 (multiply @ X2 @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ X1) @
% 10.03/2.06 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))))
% 10.03/2.06 = (X1))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 10.03/2.06 thf(zip_derived_cl1125, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 10.03/2.06 (multiply @ X2 @ (inverse @ X1)))) @
% 10.03/2.06 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0))))
% 10.03/2.06 = (X1))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl435, zip_derived_cl15])).
% 10.03/2.06 thf(zip_derived_cl197, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.03/2.06 ((X0)
% 10.03/2.06 = (inverse @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.03/2.06 (multiply @ X1 @ X0))) @
% 10.03/2.06 (inverse @ (multiply @ X2 @ (multiply @ (inverse @ X2) @ X2))))))),
% 10.03/2.06 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 10.03/2.06 thf(zip_derived_cl72, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.03/2.06 = (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl51])).
% 10.03/2.06 thf(zip_derived_cl72, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 10.03/2.06 = (multiply @
% 10.03/2.06 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl51])).
% 10.03/2.06 thf(zip_derived_cl115, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 10.03/2.06 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 10.03/2.06 (multiply @ X1 @ X0)))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl72])).
% 10.03/2.06 thf(zip_derived_cl426, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.03/2.06 ((multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ X4 @
% 10.03/2.06 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))) @
% 10.03/2.06 (multiply @ X4 @ X1))
% 10.03/2.06 = (multiply @ X0 @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 10.03/2.06 (multiply @ X2 @ X0))) @
% 10.03/2.06 X1)))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl115])).
% 10.03/2.06 thf(zip_derived_cl426, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 10.03/2.06 ((multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ X4 @
% 10.03/2.06 (inverse @ (multiply @ X3 @ (multiply @ (inverse @ X3) @ X3))))) @
% 10.03/2.06 (multiply @ X4 @ X1))
% 10.03/2.06 = (multiply @ X0 @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 10.03/2.06 (multiply @ X2 @ X0))) @
% 10.03/2.06 X1)))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl115])).
% 10.03/2.06 thf(zip_derived_cl557, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.03/2.06 ((multiply @ X1 @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 10.03/2.06 (multiply @ X2 @ X1))) @
% 10.03/2.06 X0))
% 10.03/2.06 = (multiply @ X4 @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X5 @ X3)) @
% 10.03/2.06 (multiply @ X5 @ X4))) @
% 10.03/2.06 X0)))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl426, zip_derived_cl426])).
% 10.03/2.06 thf(zip_derived_cl1298, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ X0) @ X0)
% 10.03/2.06 = (multiply @ X2 @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 10.03/2.06 (multiply @ X3 @ X2))) @
% 10.03/2.06 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl1125, zip_derived_cl557])).
% 10.03/2.06 thf(zip_derived_cl1298, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ X0) @ X0)
% 10.03/2.06 = (multiply @ X2 @
% 10.03/2.06 (multiply @
% 10.03/2.06 (inverse @
% 10.03/2.06 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 10.03/2.06 (multiply @ X3 @ X2))) @
% 10.03/2.06 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X1) @ X1))))))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl1125, zip_derived_cl557])).
% 10.03/2.06 thf(zip_derived_cl1407, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl1298, zip_derived_cl1298])).
% 10.03/2.06 thf(prove_these_axioms_1, conjecture,
% 10.03/2.06 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 10.03/2.06 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 10.03/2.06 thf(zf_stmt_0, negated_conjecture,
% 10.03/2.06 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 10.03/2.06 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 10.03/2.06 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 10.03/2.06 thf(zip_derived_cl1, plain,
% 10.03/2.06 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 10.03/2.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.03/2.06 thf(zip_derived_cl1759, plain,
% 10.03/2.06 (![X0 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ X0) @ X0) != (multiply @ (inverse @ b1) @ b1))),
% 10.03/2.06 inference('sup-', [status(thm)], [zip_derived_cl1407, zip_derived_cl1])).
% 10.03/2.06 thf(zip_derived_cl1407, plain,
% 10.03/2.06 (![X0 : $i, X1 : $i]:
% 10.03/2.06 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 10.03/2.06 inference('sup+', [status(thm)], [zip_derived_cl1298, zip_derived_cl1298])).
% 10.03/2.06 thf(zip_derived_cl1868, plain, ($false),
% 10.03/2.06 inference('simplify_reflect+', [status(thm)],
% 10.03/2.06 [zip_derived_cl1759, zip_derived_cl1407])).
% 10.03/2.06
% 10.03/2.06 % SZS output end Refutation
% 10.03/2.06
% 10.03/2.06
% 10.03/2.06 % Terminating...
% 10.76/2.15 % Runner terminated.
% 10.76/2.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------