%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP055-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.00ONuGU1cX true
% Computer : n020.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 04:35:32 PM UTC 2025
% Result : Unsatisfiable 129.28s 28.47s
% Output : Refutation 129.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP055-1 : TPTP v9.2.0. Released v1.0.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.00ONuGU1cX true
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 14:13:23 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.43/0.61 % Total configuration time : 435
% 0.43/0.61 % Estimated wc time : 1092
% 0.43/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 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/fo7.sh running for 63s
% 0.49/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.85 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.86 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 129.28/28.47 % Solved by fo/fo4.sh.
% 129.28/28.47 % done 503 iterations in 27.483s
% 129.28/28.47 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 129.28/28.47 % SZS output start Refutation
% 129.28/28.47 thf(b1_type, type, b1: $i).
% 129.28/28.47 thf(b3_type, type, b3: $i).
% 129.28/28.47 thf(b2_type, type, b2: $i).
% 129.28/28.47 thf(inverse_type, type, inverse: $i > $i).
% 129.28/28.47 thf(multiply_type, type, multiply: $i > $i > $i).
% 129.28/28.47 thf(a3_type, type, a3: $i).
% 129.28/28.47 thf(c3_type, type, c3: $i).
% 129.28/28.47 thf(a2_type, type, a2: $i).
% 129.28/28.47 thf(a1_type, type, a1: $i).
% 129.28/28.47 thf(single_axiom, axiom,
% 129.28/28.47 (( inverse @
% 129.28/28.47 ( multiply @
% 129.28/28.47 ( inverse @
% 129.28/28.47 ( multiply @
% 129.28/28.47 Z @
% 129.28/28.47 ( inverse @
% 129.28/28.47 ( multiply @
% 129.28/28.47 ( inverse @ X ) @
% 129.28/28.47 ( multiply @
% 129.28/28.47 ( inverse @ Y ) @
% 129.28/28.47 ( inverse @ ( multiply @ ( inverse @ Y ) @ Y ) ) ) ) ) ) ) @
% 129.28/28.47 ( multiply @ Z @ Y ) ) ) =
% 129.28/28.47 ( X ))).
% 129.28/28.47 thf(zip_derived_cl0, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X1 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @ (inverse @ X2) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 129.28/28.47 (multiply @ X1 @ X2)))
% 129.28/28.47 = (X0))),
% 129.28/28.47 inference('cnf', [status(esa)], [single_axiom])).
% 129.28/28.47 thf(zip_derived_cl0, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X1 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @ (inverse @ X2) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 129.28/28.47 (multiply @ X1 @ X2)))
% 129.28/28.47 = (X0))),
% 129.28/28.47 inference('cnf', [status(esa)], [single_axiom])).
% 129.28/28.47 thf(zip_derived_cl5, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 129.28/28.47 = (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl0, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X1 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @ (inverse @ X2) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 129.28/28.47 (multiply @ X1 @ X2)))
% 129.28/28.47 = (X0))),
% 129.28/28.47 inference('cnf', [status(esa)], [single_axiom])).
% 129.28/28.47 thf(zip_derived_cl0, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X1 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @ (inverse @ X2) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 129.28/28.47 (multiply @ X1 @ X2)))
% 129.28/28.47 = (X0))),
% 129.28/28.47 inference('cnf', [status(esa)], [single_axiom])).
% 129.28/28.47 thf(zip_derived_cl2, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X4 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X0 @
% 129.28/28.47 (multiply @ (inverse @ X3) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X3) @ X3))))))) @
% 129.28/28.47 (multiply @ X4 @ X3)))
% 129.28/28.47 = (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X2 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1))))))) @
% 129.28/28.47 (multiply @ X2 @ X1)))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl0, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X1 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @ (inverse @ X2) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 129.28/28.47 (multiply @ X1 @ X2)))
% 129.28/28.47 = (X0))),
% 129.28/28.47 inference('cnf', [status(esa)], [single_axiom])).
% 129.28/28.47 thf(zip_derived_cl157, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X1 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (inverse @ X2)) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 129.28/28.47 (multiply @ X1 @ X0)) = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl406, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl157])).
% 129.28/28.47 thf(zip_derived_cl5, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 129.28/28.47 = (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl0, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X1 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @ (inverse @ X2) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 129.28/28.47 (multiply @ X1 @ X2)))
% 129.28/28.47 = (X0))),
% 129.28/28.47 inference('cnf', [status(esa)], [single_axiom])).
% 129.28/28.47 thf(zip_derived_cl16, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl16, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl157, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X1 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (inverse @ X2)) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 129.28/28.47 (multiply @ X1 @ X0)) = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl407, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 129.28/28.47 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 129.28/28.47 (multiply @ X2 @ X1)))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl157])).
% 129.28/28.47 thf(zip_derived_cl525, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 129.28/28.47 ((multiply @ X0 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 129.28/28.47 (multiply @ X4 @ X3)))) @
% 129.28/28.47 X1))
% 129.28/28.47 = (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X2 @
% 129.28/28.47 (multiply @ (inverse @ X3) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X3) @ X3))))) @
% 129.28/28.47 (multiply @ X2 @ X1)))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl407])).
% 129.28/28.47 thf(zip_derived_cl525, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 129.28/28.47 ((multiply @ X0 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 129.28/28.47 (multiply @ X4 @ X3)))) @
% 129.28/28.47 X1))
% 129.28/28.47 = (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X2 @
% 129.28/28.47 (multiply @ (inverse @ X3) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X3) @ X3))))) @
% 129.28/28.47 (multiply @ X2 @ X1)))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl407])).
% 129.28/28.47 thf(zip_derived_cl588, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 129.28/28.47 ((multiply @ X5 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 129.28/28.47 (multiply @ X4 @ X1)))) @
% 129.28/28.47 X0))
% 129.28/28.47 = (multiply @ X3 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 129.28/28.47 (multiply @ X2 @ X1)))) @
% 129.28/28.47 X0)))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl525])).
% 129.28/28.47 thf(zip_derived_cl864, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 129.28/28.47 ((multiply @ X4 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 129.28/28.47 (multiply @ X3 @ X1)))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 129.28/28.47 = (multiply @ (inverse @ X0) @ X0))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 129.28/28.47 thf(zip_derived_cl864, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 129.28/28.47 ((multiply @ X4 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 129.28/28.47 (multiply @ X3 @ X1)))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 129.28/28.47 = (multiply @ (inverse @ X0) @ X0))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 129.28/28.47 thf(zip_derived_cl1149, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.47 thf(prove_these_axioms, conjecture,
% 129.28/28.47 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 129.28/28.47 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 129.28/28.47 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 129.28/28.47 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 129.28/28.47 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 129.28/28.47 thf(zf_stmt_0, negated_conjecture,
% 129.28/28.47 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 129.28/28.47 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 129.28/28.47 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 129.28/28.47 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 129.28/28.47 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 129.28/28.47 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 129.28/28.47 thf(zip_derived_cl1, plain,
% 129.28/28.47 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 129.28/28.47 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 129.28/28.47 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 129.28/28.47 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 129.28/28.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 129.28/28.47 thf(zip_derived_cl1386, plain,
% 129.28/28.47 (![X0 : $i]:
% 129.28/28.47 (((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))
% 129.28/28.47 | ((multiply @ (inverse @ a1) @ a1)
% 129.28/28.47 != (multiply @ (inverse @ b1) @ b1))
% 129.28/28.47 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 129.28/28.47 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 129.28/28.47 inference('sup-', [status(thm)], [zip_derived_cl1149, zip_derived_cl1])).
% 129.28/28.47 thf(zip_derived_cl1149, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl1480, plain,
% 129.28/28.47 (![X0 : $i]:
% 129.28/28.47 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 129.28/28.47 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 129.28/28.47 | ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2)))),
% 129.28/28.47 inference('simplify_reflect+', [status(thm)],
% 129.28/28.47 [zip_derived_cl1386, zip_derived_cl1149])).
% 129.28/28.47 thf(zip_derived_cl1149, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl864, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 129.28/28.47 ((multiply @ X4 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 129.28/28.47 (multiply @ X3 @ X1)))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 129.28/28.47 = (multiply @ (inverse @ X0) @ X0))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 129.28/28.47 thf(zip_derived_cl16, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl1113, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X2 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 129.28/28.47 (multiply @ (inverse @ X3) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X3) @ X3)))))
% 129.28/28.47 = (X3))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl16])).
% 129.28/28.47 thf(zip_derived_cl864, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 129.28/28.47 ((multiply @ X4 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 129.28/28.47 (multiply @ X3 @ X1)))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 129.28/28.47 = (multiply @ (inverse @ X0) @ X0))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 129.28/28.47 thf(zip_derived_cl1296, plain,
% 129.28/28.47 (![X0 : $i, X3 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 129.28/28.47 (multiply @ (inverse @ X3) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X3) @ X3)))))
% 129.28/28.47 = (X3))),
% 129.28/28.47 inference('demod', [status(thm)], [zip_derived_cl1113, zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl4711, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl1296])).
% 129.28/28.47 thf(zip_derived_cl1149, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl16, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl1149, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl5, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 129.28/28.47 = (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl1375, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 129.28/28.47 = (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl5])).
% 129.28/28.47 thf(zip_derived_cl1149, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl1149, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl1478, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 129.28/28.47 = (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 129.28/28.47 inference('demod', [status(thm)],
% 129.28/28.47 [zip_derived_cl1375, zip_derived_cl1149, zip_derived_cl1149])).
% 129.28/28.47 thf(zip_derived_cl1622, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.47 ((inverse @ (multiply @ (inverse @ X3) @ X3))
% 129.28/28.47 = (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 129.28/28.47 (multiply @ X2 @ X1)))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 129.28/28.47 (multiply @ X2 @ X1)))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 129.28/28.47 (multiply @ X0 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 129.28/28.47 (multiply @ X2 @ X1)))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1478])).
% 129.28/28.47 thf(zip_derived_cl16, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl16, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl864, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 129.28/28.47 ((multiply @ X4 @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 129.28/28.47 (multiply @ X3 @ X1)))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 129.28/28.47 = (multiply @ (inverse @ X0) @ X0))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 129.28/28.47 thf(zip_derived_cl1653, plain,
% 129.28/28.47 (![X0 : $i, X3 : $i]:
% 129.28/28.47 ((inverse @ (multiply @ (inverse @ X3) @ X3))
% 129.28/28.47 = (multiply @ X0 @
% 129.28/28.47 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))),
% 129.28/28.47 inference('demod', [status(thm)],
% 129.28/28.47 [zip_derived_cl1622, zip_derived_cl16, zip_derived_cl16,
% 129.28/28.47 zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl2329, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 129.28/28.47 = (multiply @ X1 @
% 129.28/28.47 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl1653])).
% 129.28/28.47 thf(zip_derived_cl6695, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 129.28/28.47 = (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0))))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl4711, zip_derived_cl2329])).
% 129.28/28.47 thf(zip_derived_cl1149, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.47 thf(zip_derived_cl10720, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X1) @ X1)
% 129.28/28.47 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl6695, zip_derived_cl1149])).
% 129.28/28.47 thf(zip_derived_cl10720, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X1) @ X1)
% 129.28/28.47 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl6695, zip_derived_cl1149])).
% 129.28/28.47 thf(zip_derived_cl11662, plain,
% 129.28/28.47 (![X0 : $i, X2 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X2) @ X2)
% 129.28/28.47 = (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))))),
% 129.28/28.47 inference('sup+', [status(thm)],
% 129.28/28.47 [zip_derived_cl10720, zip_derived_cl10720])).
% 129.28/28.47 thf(zip_derived_cl16, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl10720, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i]:
% 129.28/28.47 ((multiply @ (inverse @ X1) @ X1)
% 129.28/28.47 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl6695, zip_derived_cl1149])).
% 129.28/28.47 thf(zip_derived_cl16, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 129.28/28.47 (multiply @ X1 @ X0)))) @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X2))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl5, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 129.28/28.47 = (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ X0) @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 129.28/28.47 thf(zip_derived_cl253, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X3 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 129.28/28.47 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))) @
% 129.28/28.47 (multiply @ X3 @ X1)))
% 129.28/28.47 = (multiply @ (inverse @ X1) @ X0))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 129.28/28.47 thf(zip_derived_cl11547, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @ X3 @
% 129.28/28.47 (inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 129.28/28.47 (multiply @ X3 @ X2)))
% 129.28/28.47 = (multiply @ (inverse @ X2) @ X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl10720, zip_derived_cl253])).
% 129.28/28.47 thf(zip_derived_cl4711, plain,
% 129.28/28.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 129.28/28.47 (multiply @ (inverse @ X1) @
% 129.28/28.47 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 129.28/28.47 = (X1))),
% 129.28/28.47 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl1296])).
% 129.28/28.47 thf(zip_derived_cl11928, plain,
% 129.28/28.47 (![X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 129.28/28.47 = (multiply @ (inverse @ X2) @ X1))),
% 129.28/28.47 inference('demod', [status(thm)],
% 129.28/28.47 [zip_derived_cl11547, zip_derived_cl4711])).
% 129.28/28.47 thf(zip_derived_cl11928, plain,
% 129.28/28.47 (![X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.47 ((inverse @
% 129.28/28.47 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 129.28/28.47 = (multiply @ (inverse @ X2) @ X1))),
% 129.28/28.47 inference('demod', [status(thm)],
% 129.28/28.47 [zip_derived_cl11547, zip_derived_cl4711])).
% 129.28/28.47 thf(zip_derived_cl16021, plain,
% 129.28/28.47 (![X0 : $i, X2 : $i]:
% 129.28/28.47 ((multiply @
% 129.28/28.47 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @ X2)
% 129.28/28.48 = (X2))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl16, zip_derived_cl11928, zip_derived_cl11928])).
% 129.28/28.48 thf(zip_derived_cl16316, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl11662, zip_derived_cl16021])).
% 129.28/28.48 thf(zip_derived_cl16647, plain,
% 129.28/28.48 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 129.28/28.48 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 129.28/28.48 | ((a2) != (a2)))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl1480, zip_derived_cl16316])).
% 129.28/28.48 thf(zip_derived_cl16648, plain,
% 129.28/28.48 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 129.28/28.48 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 129.28/28.48 inference('simplify', [status(thm)], [zip_derived_cl16647])).
% 129.28/28.48 thf(zip_derived_cl0, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.48 ((inverse @
% 129.28/28.48 (multiply @
% 129.28/28.48 (inverse @
% 129.28/28.48 (multiply @ X1 @
% 129.28/28.48 (inverse @
% 129.28/28.48 (multiply @ (inverse @ X0) @
% 129.28/28.48 (multiply @ (inverse @ X2) @
% 129.28/28.48 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 129.28/28.48 (multiply @ X1 @ X2)))
% 129.28/28.48 = (X0))),
% 129.28/28.48 inference('cnf', [status(esa)], [single_axiom])).
% 129.28/28.48 thf(zip_derived_cl16316, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl11662, zip_derived_cl16021])).
% 129.28/28.48 thf(zip_derived_cl11928, plain,
% 129.28/28.48 (![X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.48 ((inverse @
% 129.28/28.48 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 129.28/28.48 = (multiply @ (inverse @ X2) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl11547, zip_derived_cl4711])).
% 129.28/28.48 thf(zip_derived_cl16656, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.48 ((inverse @
% 129.28/28.48 (multiply @
% 129.28/28.48 (inverse @ (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1)) @ X0))
% 129.28/28.48 = (multiply @ (inverse @ X0) @ X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl16316, zip_derived_cl11928])).
% 129.28/28.48 thf(zip_derived_cl16316, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl11662, zip_derived_cl16021])).
% 129.28/28.48 thf(zip_derived_cl16719, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 129.28/28.48 = (multiply @ (inverse @ X0) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl16656, zip_derived_cl16316])).
% 129.28/28.48 thf(zip_derived_cl16719, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 129.28/28.48 = (multiply @ (inverse @ X0) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl16656, zip_derived_cl16316])).
% 129.28/28.48 thf(zip_derived_cl16719, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 129.28/28.48 = (multiply @ (inverse @ X0) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl16656, zip_derived_cl16316])).
% 129.28/28.48 thf(zip_derived_cl16719, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 129.28/28.48 = (multiply @ (inverse @ X0) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl16656, zip_derived_cl16316])).
% 129.28/28.48 thf(zip_derived_cl16316, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl11662, zip_derived_cl16021])).
% 129.28/28.48 thf(zip_derived_cl11928, plain,
% 129.28/28.48 (![X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.48 ((inverse @
% 129.28/28.48 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 129.28/28.48 = (multiply @ (inverse @ X2) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl11547, zip_derived_cl4711])).
% 129.28/28.48 thf(zip_derived_cl16925, plain,
% 129.28/28.48 (![X0 : $i, X2 : $i]:
% 129.28/28.48 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16316, zip_derived_cl11928])).
% 129.28/28.48 thf(zip_derived_cl16719, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 129.28/28.48 = (multiply @ (inverse @ X0) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl16656, zip_derived_cl16316])).
% 129.28/28.48 thf(zip_derived_cl16986, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl16925, zip_derived_cl16719])).
% 129.28/28.48 thf(zip_derived_cl16986, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl16925, zip_derived_cl16719])).
% 129.28/28.48 thf(zip_derived_cl17646, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ X1)
% 129.28/28.48 = (multiply @ (inverse @ (inverse @ X0)) @
% 129.28/28.48 (inverse @ (multiply @ X1 @ X0))))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl16986, zip_derived_cl16986])).
% 129.28/28.48 thf(zip_derived_cl1149, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 129.28/28.48 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 129.28/28.48 thf(zip_derived_cl16925, plain,
% 129.28/28.48 (![X0 : $i, X2 : $i]:
% 129.28/28.48 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16316, zip_derived_cl11928])).
% 129.28/28.48 thf(zip_derived_cl16925, plain,
% 129.28/28.48 (![X0 : $i, X2 : $i]:
% 129.28/28.48 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16316, zip_derived_cl11928])).
% 129.28/28.48 thf(zip_derived_cl16979, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((multiply @ (inverse @ (inverse @ X1)) @ X0) = (multiply @ X1 @ X0))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl16925, zip_derived_cl16925])).
% 129.28/28.48 thf(zip_derived_cl16925, plain,
% 129.28/28.48 (![X0 : $i, X2 : $i]:
% 129.28/28.48 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16316, zip_derived_cl11928])).
% 129.28/28.48 thf(zip_derived_cl17032, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl16979, zip_derived_cl16925])).
% 129.28/28.48 thf(zip_derived_cl17105, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl1149, zip_derived_cl17032])).
% 129.28/28.48 thf(zip_derived_cl16925, plain,
% 129.28/28.48 (![X0 : $i, X2 : $i]:
% 129.28/28.48 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16719, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl16316, zip_derived_cl11928])).
% 129.28/28.48 thf(zip_derived_cl17479, plain,
% 129.28/28.48 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl17105, zip_derived_cl16925])).
% 129.28/28.48 thf(zip_derived_cl17658, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ X1) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl17646, zip_derived_cl17479])).
% 129.28/28.48 thf(zip_derived_cl11928, plain,
% 129.28/28.48 (![X1 : $i, X2 : $i, X3 : $i]:
% 129.28/28.48 ((inverse @
% 129.28/28.48 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 129.28/28.48 = (multiply @ (inverse @ X2) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl11547, zip_derived_cl4711])).
% 129.28/28.48 thf(zip_derived_cl18177, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.48 ((inverse @
% 129.28/28.48 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ (inverse @ X0)))
% 129.28/28.48 = (multiply @ (inverse @ (inverse @ (multiply @ X0 @ X2))) @ X1))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl17658, zip_derived_cl11928])).
% 129.28/28.48 thf(zip_derived_cl16719, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i]:
% 129.28/28.48 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 129.28/28.48 = (multiply @ (inverse @ X0) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl16656, zip_derived_cl16316])).
% 129.28/28.48 thf(zip_derived_cl17479, plain,
% 129.28/28.48 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl17105, zip_derived_cl16925])).
% 129.28/28.48 thf(zip_derived_cl17479, plain,
% 129.28/28.48 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 129.28/28.48 inference('sup+', [status(thm)],
% 129.28/28.48 [zip_derived_cl17105, zip_derived_cl16925])).
% 129.28/28.48 thf(zip_derived_cl18237, plain,
% 129.28/28.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 129.28/28.48 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 129.28/28.48 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl18177, zip_derived_cl16719,
% 129.28/28.48 zip_derived_cl17479, zip_derived_cl17479])).
% 129.28/28.48 thf(zip_derived_cl18622, plain,
% 129.28/28.48 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 129.28/28.48 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 129.28/28.48 inference('demod', [status(thm)],
% 129.28/28.48 [zip_derived_cl16648, zip_derived_cl18237])).
% 129.28/28.48 thf(zip_derived_cl18623, plain, ($false),
% 129.28/28.48 inference('simplify', [status(thm)], [zip_derived_cl18622])).
% 129.28/28.48
% 129.28/28.48 % SZS output end Refutation
% 129.28/28.48
% 129.28/28.48
% 129.28/28.48 % Terminating...
% 129.82/28.68 % Runner terminated.
% 129.82/28.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------