%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP406-1 : 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.sYYnL7XcB6 true
% Computer : n014.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 6.89s 1.62s
% Output : Refutation 6.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP406-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sYYnL7XcB6 true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:11:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.59/0.68 % Total configuration time : 435
% 0.59/0.68 % Estimated wc time : 1092
% 0.59/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.89/1.62 % Solved by fo/fo7.sh.
% 6.89/1.62 % done 54 iterations in 0.813s
% 6.89/1.62 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.89/1.62 % SZS output start Refutation
% 6.89/1.62 thf(inverse_type, type, inverse: $i > $i).
% 6.89/1.62 thf(b1_type, type, b1: $i).
% 6.89/1.62 thf(multiply_type, type, multiply: $i > $i > $i).
% 6.89/1.62 thf(a1_type, type, a1: $i).
% 6.89/1.62 thf(single_axiom, axiom,
% 6.89/1.62 (( multiply @
% 6.89/1.62 A @
% 6.89/1.62 ( inverse @
% 6.89/1.62 ( multiply @
% 6.89/1.62 ( inverse @ ( multiply @ ( inverse @ ( multiply @ A @ B ) ) @ C ) ) @
% 6.89/1.62 ( multiply @ ( inverse @ B ) @ ( multiply @ ( inverse @ B ) @ B ) ) ) ) ) =
% 6.89/1.62 ( C ))).
% 6.89/1.62 thf(zip_derived_cl0, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ X1 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (X0))),
% 6.89/1.62 inference('cnf', [status(esa)], [single_axiom])).
% 6.89/1.62 thf(zip_derived_cl0, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ X1 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (X0))),
% 6.89/1.62 inference('cnf', [status(esa)], [single_axiom])).
% 6.89/1.62 thf(zip_derived_cl0, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ X1 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (X0))),
% 6.89/1.62 inference('cnf', [status(esa)], [single_axiom])).
% 6.89/1.62 thf(zip_derived_cl3, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.89/1.62 ((multiply @ X3 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ X0) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 6.89/1.62 X0)) @
% 6.89/1.62 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.89/1.62 thf(zip_derived_cl3, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.89/1.62 ((multiply @ X3 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ X0) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 6.89/1.62 X0)) @
% 6.89/1.62 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.89/1.62 thf(zip_derived_cl0, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ X1 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (X0))),
% 6.89/1.62 inference('cnf', [status(esa)], [single_axiom])).
% 6.89/1.62 thf(zip_derived_cl15, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 6.89/1.62 (multiply @ X2 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ X1) @
% 6.89/1.62 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 6.89/1.62 = (X1))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 6.89/1.62 thf(zip_derived_cl39, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @
% 6.89/1.62 (multiply @ X4 @
% 6.89/1.62 (multiply @ X2 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ X1) @
% 6.89/1.62 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))))))
% 6.89/1.62 = (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X0)) @ X3)) @
% 6.89/1.62 X1))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 6.89/1.62 thf(zip_derived_cl83, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 6.89/1.62 = (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 6.89/1.62 thf(zip_derived_cl3, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.89/1.62 ((multiply @ X3 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ X0) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X3 @ X2)) @ X1)) @
% 6.89/1.62 X0)) @
% 6.89/1.62 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 6.89/1.62 thf(zip_derived_cl140, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.89/1.62 ((multiply @ X4 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X4 @ X3)) @ X0)) @
% 6.89/1.62 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))))
% 6.89/1.62 = (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 6.89/1.62 (multiply @ X1 @ X0))) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl3])).
% 6.89/1.62 thf(zip_derived_cl0, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ X1 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (X0))),
% 6.89/1.62 inference('cnf', [status(esa)], [single_axiom])).
% 6.89/1.62 thf(zip_derived_cl237, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((X0)
% 6.89/1.62 = (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 6.89/1.62 (multiply @ X1 @ X0))) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 6.89/1.62 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 6.89/1.62 thf(zip_derived_cl0, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ X1 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X1 @ X2)) @ X0)) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))
% 6.89/1.62 = (X0))),
% 6.89/1.62 inference('cnf', [status(esa)], [single_axiom])).
% 6.89/1.62 thf(zip_derived_cl346, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ (multiply @ X2 @ X1)) @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ X0 @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 6.89/1.62 (multiply @ X2 @ X0))))))
% 6.89/1.62 = (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl0])).
% 6.89/1.62 thf(zip_derived_cl15, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 6.89/1.62 (multiply @ X2 @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ X1) @
% 6.89/1.62 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0))))))
% 6.89/1.62 = (X1))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 6.89/1.62 thf(zip_derived_cl840, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 6.89/1.62 (multiply @ X2 @ (inverse @ X1)))) @
% 6.89/1.62 (multiply @ (inverse @ X0) @ (multiply @ (inverse @ X0) @ X0)))
% 6.89/1.62 = (X1))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl346, zip_derived_cl15])).
% 6.89/1.62 thf(zip_derived_cl237, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.89/1.62 ((X0)
% 6.89/1.62 = (inverse @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 6.89/1.62 (multiply @ X1 @ X0))) @
% 6.89/1.62 (multiply @ (inverse @ X2) @ (multiply @ (inverse @ X2) @ X2)))))),
% 6.89/1.62 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl0])).
% 6.89/1.62 thf(zip_derived_cl83, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 6.89/1.62 = (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 6.89/1.62 thf(zip_derived_cl83, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ (multiply @ X4 @ X3)) @ (multiply @ X4 @ X0))
% 6.89/1.62 = (multiply @
% 6.89/1.62 (inverse @ (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X3)) @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ X0)))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl39])).
% 6.89/1.62 thf(zip_derived_cl149, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ (multiply @ X3 @ X2)) @ (multiply @ X3 @ X0))
% 6.89/1.62 = (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 6.89/1.62 (multiply @ X1 @ X0)))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl83])).
% 6.89/1.62 thf(zip_derived_cl339, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.89/1.62 ((multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ X4 @
% 6.89/1.62 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))) @
% 6.89/1.62 (multiply @ X4 @ X1))
% 6.89/1.62 = (multiply @ X0 @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 6.89/1.62 (multiply @ X2 @ X0))) @
% 6.89/1.62 X1)))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl149])).
% 6.89/1.62 thf(zip_derived_cl339, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.89/1.62 ((multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ X4 @
% 6.89/1.62 (multiply @ (inverse @ X3) @ (multiply @ (inverse @ X3) @ X3)))) @
% 6.89/1.62 (multiply @ X4 @ X1))
% 6.89/1.62 = (multiply @ X0 @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 6.89/1.62 (multiply @ X2 @ X0))) @
% 6.89/1.62 X1)))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl149])).
% 6.89/1.62 thf(zip_derived_cl536, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.89/1.62 ((multiply @ X1 @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 6.89/1.62 (multiply @ X2 @ X1))) @
% 6.89/1.62 X0))
% 6.89/1.62 = (multiply @ X4 @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X5 @ X3)) @
% 6.89/1.62 (multiply @ X5 @ X4))) @
% 6.89/1.62 X0)))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl339, zip_derived_cl339])).
% 6.89/1.62 thf(zip_derived_cl980, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ X0) @ X0)
% 6.89/1.62 = (multiply @ X2 @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 6.89/1.62 (multiply @ X3 @ X2))) @
% 6.89/1.62 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 6.89/1.62 thf(zip_derived_cl980, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ X0) @ X0)
% 6.89/1.62 = (multiply @ X2 @
% 6.89/1.62 (multiply @
% 6.89/1.62 (inverse @
% 6.89/1.62 (multiply @ (inverse @ (multiply @ X3 @ X1)) @
% 6.89/1.62 (multiply @ X3 @ X2))) @
% 6.89/1.62 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl840, zip_derived_cl536])).
% 6.89/1.62 thf(zip_derived_cl1075, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 6.89/1.62 thf(prove_these_axioms_1, conjecture,
% 6.89/1.62 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 6.89/1.62 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 6.89/1.62 thf(zf_stmt_0, negated_conjecture,
% 6.89/1.62 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 6.89/1.62 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 6.89/1.62 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 6.89/1.62 thf(zip_derived_cl1, plain,
% 6.89/1.62 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 6.89/1.62 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.89/1.62 thf(zip_derived_cl1375, plain,
% 6.89/1.62 (![X0 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 6.89/1.62 inference('sup-', [status(thm)], [zip_derived_cl1075, zip_derived_cl1])).
% 6.89/1.62 thf(zip_derived_cl1075, plain,
% 6.89/1.62 (![X0 : $i, X1 : $i]:
% 6.89/1.62 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 6.89/1.62 inference('sup+', [status(thm)], [zip_derived_cl980, zip_derived_cl980])).
% 6.89/1.62 thf(zip_derived_cl1458, plain, ($false),
% 6.89/1.62 inference('simplify_reflect+', [status(thm)],
% 6.89/1.62 [zip_derived_cl1375, zip_derived_cl1075])).
% 6.89/1.62
% 6.89/1.62 % SZS output end Refutation
% 6.89/1.62
% 6.89/1.62
% 6.89/1.62 % Terminating...
% 7.40/1.70 % Runner terminated.
% 7.40/1.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------