TSTP Solution File: GRP055-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP055-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q6uFzYZavW true
% Computer : n012.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 Aug 31 01:49:44 EDT 2023
% Result : Unsatisfiable 163.72s 24.21s
% Output : Refutation 163.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP055-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q6uFzYZavW true
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 01:23:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.23/0.37 % Running in FO mode
% 0.23/0.65 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 163.72/24.21 % Solved by fo/fo4.sh.
% 163.72/24.21 % done 503 iterations in 23.393s
% 163.72/24.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 163.72/24.21 % SZS output start Refutation
% 163.72/24.21 thf(b1_type, type, b1: $i).
% 163.72/24.21 thf(b3_type, type, b3: $i).
% 163.72/24.21 thf(b2_type, type, b2: $i).
% 163.72/24.21 thf(inverse_type, type, inverse: $i > $i).
% 163.72/24.21 thf(multiply_type, type, multiply: $i > $i > $i).
% 163.72/24.21 thf(a3_type, type, a3: $i).
% 163.72/24.21 thf(c3_type, type, c3: $i).
% 163.72/24.21 thf(a2_type, type, a2: $i).
% 163.72/24.21 thf(a1_type, type, a1: $i).
% 163.72/24.21 thf(single_axiom, axiom,
% 163.72/24.21 (( inverse @
% 163.72/24.21 ( multiply @
% 163.72/24.21 ( inverse @
% 163.72/24.21 ( multiply @
% 163.72/24.21 Z @
% 163.72/24.21 ( inverse @
% 163.72/24.21 ( multiply @
% 163.72/24.21 ( inverse @ X ) @
% 163.72/24.21 ( multiply @
% 163.72/24.21 ( inverse @ Y ) @
% 163.72/24.21 ( inverse @ ( multiply @ ( inverse @ Y ) @ Y ) ) ) ) ) ) ) @
% 163.72/24.21 ( multiply @ Z @ Y ) ) ) =
% 163.72/24.21 ( X ))).
% 163.72/24.21 thf(zip_derived_cl0, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X1 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @ (inverse @ X2) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 163.72/24.21 (multiply @ X1 @ X2)))
% 163.72/24.21 = (X0))),
% 163.72/24.21 inference('cnf', [status(esa)], [single_axiom])).
% 163.72/24.21 thf(zip_derived_cl0, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X1 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @ (inverse @ X2) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 163.72/24.21 (multiply @ X1 @ X2)))
% 163.72/24.21 = (X0))),
% 163.72/24.21 inference('cnf', [status(esa)], [single_axiom])).
% 163.72/24.21 thf(zip_derived_cl5, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 163.72/24.21 = (multiply @ (inverse @ X1) @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 163.72/24.21 thf(zip_derived_cl0, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X1 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @ (inverse @ X2) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 163.72/24.21 (multiply @ X1 @ X2)))
% 163.72/24.21 = (X0))),
% 163.72/24.21 inference('cnf', [status(esa)], [single_axiom])).
% 163.72/24.21 thf(zip_derived_cl0, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X1 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @ (inverse @ X2) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 163.72/24.21 (multiply @ X1 @ X2)))
% 163.72/24.21 = (X0))),
% 163.72/24.21 inference('cnf', [status(esa)], [single_axiom])).
% 163.72/24.21 thf(zip_derived_cl2, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X4 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X0 @
% 163.72/24.21 (multiply @ (inverse @ X3) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X3) @ X3))))))) @
% 163.72/24.21 (multiply @ X4 @ X3)))
% 163.72/24.21 = (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X2 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @ (inverse @ X1) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X1) @ X1))))))) @
% 163.72/24.21 (multiply @ X2 @ X1)))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 163.72/24.21 thf(zip_derived_cl0, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X1 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @ (inverse @ X2) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 163.72/24.21 (multiply @ X1 @ X2)))
% 163.72/24.21 = (X0))),
% 163.72/24.21 inference('cnf', [status(esa)], [single_axiom])).
% 163.72/24.21 thf(zip_derived_cl157, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X1 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (inverse @ X2)) @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 163.72/24.21 (multiply @ X1 @ X0)) = (X2))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 163.72/24.21 thf(zip_derived_cl406, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X1 @ (inverse @ X2))) @
% 163.72/24.21 (multiply @ X1 @ X0)))) @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X0) @ X0))))
% 163.72/24.21 = (X2))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl157])).
% 163.72/24.21 thf(zip_derived_cl5, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 163.72/24.21 = (multiply @ (inverse @ X1) @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 163.72/24.21 thf(zip_derived_cl0, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X1 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (multiply @ (inverse @ X2) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 163.72/24.21 (multiply @ X1 @ X2)))
% 163.72/24.21 = (X0))),
% 163.72/24.21 inference('cnf', [status(esa)], [single_axiom])).
% 163.72/24.21 thf(zip_derived_cl16, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.21 (multiply @ X1 @ X0)))) @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.21 = (X2))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 163.72/24.21 thf(zip_derived_cl16, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((inverse @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.21 (multiply @ X1 @ X0)))) @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.21 = (X2))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 163.72/24.21 thf(zip_derived_cl157, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.21 ((multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X1 @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (inverse @ X2)) @
% 163.72/24.21 (multiply @ (inverse @ X0) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 163.72/24.21 (multiply @ X1 @ X0)) = (X2))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 163.72/24.21 thf(zip_derived_cl407, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.21 ((multiply @ (inverse @ (multiply @ X3 @ X0)) @ (multiply @ X3 @ X1))
% 163.72/24.21 = (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 163.72/24.21 (multiply @ X2 @ X1)))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl157])).
% 163.72/24.21 thf(zip_derived_cl525, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 163.72/24.21 ((multiply @ X0 @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 163.72/24.21 (multiply @ X4 @ X3)))) @
% 163.72/24.21 X1))
% 163.72/24.21 = (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X2 @
% 163.72/24.21 (multiply @ (inverse @ X3) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X3) @ X3))))) @
% 163.72/24.21 (multiply @ X2 @ X1)))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl407])).
% 163.72/24.21 thf(zip_derived_cl525, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 163.72/24.21 ((multiply @ X0 @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X4 @ X0)) @
% 163.72/24.21 (multiply @ X4 @ X3)))) @
% 163.72/24.21 X1))
% 163.72/24.21 = (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ X2 @
% 163.72/24.21 (multiply @ (inverse @ X3) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X3) @ X3))))) @
% 163.72/24.21 (multiply @ X2 @ X1)))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl407])).
% 163.72/24.21 thf(zip_derived_cl588, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 163.72/24.21 ((multiply @ X5 @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X4 @ X5)) @
% 163.72/24.21 (multiply @ X4 @ X1)))) @
% 163.72/24.21 X0))
% 163.72/24.21 = (multiply @ X3 @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X2 @ X3)) @
% 163.72/24.21 (multiply @ X2 @ X1)))) @
% 163.72/24.21 X0)))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl525, zip_derived_cl525])).
% 163.72/24.21 thf(zip_derived_cl864, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 163.72/24.21 ((multiply @ X4 @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 163.72/24.21 (multiply @ X3 @ X1)))) @
% 163.72/24.21 (multiply @ (inverse @ X1) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 163.72/24.21 = (multiply @ (inverse @ X0) @ X0))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 163.72/24.21 thf(zip_derived_cl864, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 163.72/24.21 ((multiply @ X4 @
% 163.72/24.21 (multiply @
% 163.72/24.21 (inverse @
% 163.72/24.21 (inverse @
% 163.72/24.21 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 163.72/24.21 (multiply @ X3 @ X1)))) @
% 163.72/24.21 (multiply @ (inverse @ X1) @
% 163.72/24.21 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 163.72/24.21 = (multiply @ (inverse @ X0) @ X0))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 163.72/24.21 thf(zip_derived_cl1149, plain,
% 163.72/24.21 (![X0 : $i, X1 : $i]:
% 163.72/24.21 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.21 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.21 thf(prove_these_axioms, conjecture,
% 163.72/24.21 (~( ( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 163.72/24.21 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 163.72/24.21 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 163.72/24.21 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 163.72/24.21 ( multiply @ ( inverse @ b1 ) @ b1 ) ) ))).
% 163.72/24.21 thf(zf_stmt_0, negated_conjecture,
% 163.72/24.21 (( ( multiply @ ( multiply @ a3 @ b3 ) @ c3 ) !=
% 163.72/24.21 ( multiply @ a3 @ ( multiply @ b3 @ c3 ) ) ) |
% 163.72/24.21 ( ( multiply @ ( multiply @ ( inverse @ b2 ) @ b2 ) @ a2 ) != ( a2 ) ) |
% 163.72/24.21 ( ( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 163.72/24.21 ( multiply @ ( inverse @ b1 ) @ b1 ) )),
% 163.72/24.21 inference('cnf.neg', [status(esa)], [prove_these_axioms])).
% 163.72/24.21 thf(zip_derived_cl1, plain,
% 163.72/24.21 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 163.72/24.21 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 163.72/24.21 | ((multiply @ (multiply @ (inverse @ b2) @ b2) @ a2) != (a2))
% 163.72/24.21 | ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1)))),
% 163.72/24.21 inference('cnf', [status(esa)], [zf_stmt_0])).
% 163.72/24.21 thf(zip_derived_cl1386, plain,
% 163.72/24.21 (![X0 : $i]:
% 163.72/24.21 (((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2))
% 163.72/24.21 | ((multiply @ (inverse @ a1) @ a1)
% 163.72/24.21 != (multiply @ (inverse @ b1) @ b1))
% 163.72/24.22 | ((multiply @ (multiply @ a3 @ b3) @ c3)
% 163.72/24.22 != (multiply @ a3 @ (multiply @ b3 @ c3))))),
% 163.72/24.22 inference('sup-', [status(thm)], [zip_derived_cl1149, zip_derived_cl1])).
% 163.72/24.22 thf(zip_derived_cl1149, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl1480, plain,
% 163.72/24.22 (![X0 : $i]:
% 163.72/24.22 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 163.72/24.22 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 163.72/24.22 | ((multiply @ (multiply @ (inverse @ X0) @ X0) @ a2) != (a2)))),
% 163.72/24.22 inference('simplify_reflect+', [status(thm)],
% 163.72/24.22 [zip_derived_cl1386, zip_derived_cl1149])).
% 163.72/24.22 thf(zip_derived_cl1149, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl864, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 163.72/24.22 ((multiply @ X4 @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 163.72/24.22 (multiply @ X3 @ X1)))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X0))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 163.72/24.22 thf(zip_derived_cl16, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.22 (multiply @ X1 @ X0)))) @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.22 = (X2))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 163.72/24.22 thf(zip_derived_cl1113, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ X2 @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.22 (multiply @ X1 @ X0)))) @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0))))))) @
% 163.72/24.22 (multiply @ (inverse @ X3) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X3) @ X3)))))
% 163.72/24.22 = (X3))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl16])).
% 163.72/24.22 thf(zip_derived_cl864, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 163.72/24.22 ((multiply @ X4 @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 163.72/24.22 (multiply @ X3 @ X1)))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X0))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 163.72/24.22 thf(zip_derived_cl1296, plain,
% 163.72/24.22 (![X0 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 163.72/24.22 (multiply @ (inverse @ X3) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X3) @ X3)))))
% 163.72/24.22 = (X3))),
% 163.72/24.22 inference('demod', [status(thm)], [zip_derived_cl1113, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl4711, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.22 = (X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl1296])).
% 163.72/24.22 thf(zip_derived_cl1149, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl16, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.22 (multiply @ X1 @ X0)))) @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.22 = (X2))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 163.72/24.22 thf(zip_derived_cl1149, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl5, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 163.72/24.22 = (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 163.72/24.22 thf(zip_derived_cl1375, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl5])).
% 163.72/24.22 thf(zip_derived_cl1149, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl1149, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl1478, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X0) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ X1) @ (multiply @ (inverse @ X1) @ X1)))))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl1375, zip_derived_cl1149, zip_derived_cl1149])).
% 163.72/24.22 thf(zip_derived_cl1622, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X3) @ X3))
% 163.72/24.22 = (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 163.72/24.22 (multiply @ X2 @ X1)))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 163.72/24.22 (multiply @ X2 @ X1)))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 163.72/24.22 (multiply @ X0 @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 163.72/24.22 (multiply @ X2 @ X1)))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1478])).
% 163.72/24.22 thf(zip_derived_cl16, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.22 (multiply @ X1 @ X0)))) @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.22 = (X2))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 163.72/24.22 thf(zip_derived_cl16, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.22 (multiply @ X1 @ X0)))) @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.22 = (X2))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 163.72/24.22 thf(zip_derived_cl864, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 163.72/24.22 ((multiply @ X4 @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X3 @ X4)) @
% 163.72/24.22 (multiply @ X3 @ X1)))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X0))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl588])).
% 163.72/24.22 thf(zip_derived_cl1653, plain,
% 163.72/24.22 (![X0 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X3) @ X3))
% 163.72/24.22 = (multiply @ X0 @
% 163.72/24.22 (inverse @ (multiply @ X0 @ (multiply @ (inverse @ X0) @ X0)))))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl1622, zip_derived_cl16, zip_derived_cl16,
% 163.72/24.22 zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl2329, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 163.72/24.22 = (multiply @ X1 @
% 163.72/24.22 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)))))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl1653])).
% 163.72/24.22 thf(zip_derived_cl6695, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X2) @ X2))
% 163.72/24.22 = (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0))))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl4711, zip_derived_cl2329])).
% 163.72/24.22 thf(zip_derived_cl1149, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl10720, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X1) @ X1)
% 163.72/24.22 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl6695, zip_derived_cl1149])).
% 163.72/24.22 thf(zip_derived_cl10720, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X1) @ X1)
% 163.72/24.22 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl6695, zip_derived_cl1149])).
% 163.72/24.22 thf(zip_derived_cl11662, plain,
% 163.72/24.22 (![X0 : $i, X2 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X2) @ X2)
% 163.72/24.22 = (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl10720, zip_derived_cl10720])).
% 163.72/24.22 thf(zip_derived_cl16, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.22 (multiply @ X1 @ X0)))) @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.22 = (X2))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 163.72/24.22 thf(zip_derived_cl10720, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X1) @ X1)
% 163.72/24.22 = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl6695, zip_derived_cl1149])).
% 163.72/24.22 thf(zip_derived_cl16, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X1 @ X2)) @
% 163.72/24.22 (multiply @ X1 @ X0)))) @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.22 = (X2))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 163.72/24.22 thf(zip_derived_cl5, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X2 @ X0)) @ (multiply @ X2 @ X1)))
% 163.72/24.22 = (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X1) @ X1)))))))))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 163.72/24.22 thf(zip_derived_cl253, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ X3 @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X2 @ X0)) @
% 163.72/24.22 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1))))))) @
% 163.72/24.22 (multiply @ X3 @ X1)))
% 163.72/24.22 = (multiply @ (inverse @ X1) @ X0))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl5])).
% 163.72/24.22 thf(zip_derived_cl11547, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ X3 @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 163.72/24.22 (multiply @ X3 @ X2)))
% 163.72/24.22 = (multiply @ (inverse @ X2) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl10720, zip_derived_cl253])).
% 163.72/24.22 thf(zip_derived_cl4711, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X2) @ X2))) @
% 163.72/24.22 (multiply @ (inverse @ X1) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X0) @ X0)))))
% 163.72/24.22 = (X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl1296])).
% 163.72/24.22 thf(zip_derived_cl11928, plain,
% 163.72/24.22 (![X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 163.72/24.22 = (multiply @ (inverse @ X2) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl11547, zip_derived_cl4711])).
% 163.72/24.22 thf(zip_derived_cl11928, plain,
% 163.72/24.22 (![X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 163.72/24.22 = (multiply @ (inverse @ X2) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl11547, zip_derived_cl4711])).
% 163.72/24.22 thf(zip_derived_cl16021, plain,
% 163.72/24.22 (![X0 : $i, X2 : $i]:
% 163.72/24.22 ((multiply @
% 163.72/24.22 (inverse @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @ X2)
% 163.72/24.22 = (X2))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl16, zip_derived_cl11928, zip_derived_cl11928])).
% 163.72/24.22 thf(zip_derived_cl16316, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl11662, zip_derived_cl16021])).
% 163.72/24.22 thf(zip_derived_cl16647, plain,
% 163.72/24.22 ((((multiply @ (multiply @ a3 @ b3) @ c3)
% 163.72/24.22 != (multiply @ a3 @ (multiply @ b3 @ c3)))
% 163.72/24.22 | ((a2) != (a2)))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl1480, zip_derived_cl16316])).
% 163.72/24.22 thf(zip_derived_cl16648, plain,
% 163.72/24.22 (((multiply @ (multiply @ a3 @ b3) @ c3)
% 163.72/24.22 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 163.72/24.22 inference('simplify', [status(thm)], [zip_derived_cl16647])).
% 163.72/24.22 thf(zip_derived_cl0, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ X1 @
% 163.72/24.22 (inverse @
% 163.72/24.22 (multiply @ (inverse @ X0) @
% 163.72/24.22 (multiply @ (inverse @ X2) @
% 163.72/24.22 (inverse @ (multiply @ (inverse @ X2) @ X2))))))) @
% 163.72/24.22 (multiply @ X1 @ X2)))
% 163.72/24.22 = (X0))),
% 163.72/24.22 inference('cnf', [status(esa)], [single_axiom])).
% 163.72/24.22 thf(zip_derived_cl16316, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl11662, zip_derived_cl16021])).
% 163.72/24.22 thf(zip_derived_cl11928, plain,
% 163.72/24.22 (![X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 163.72/24.22 = (multiply @ (inverse @ X2) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl11547, zip_derived_cl4711])).
% 163.72/24.22 thf(zip_derived_cl16656, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @
% 163.72/24.22 (inverse @ (multiply @ (multiply @ (inverse @ X2) @ X2) @ X1)) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl16316, zip_derived_cl11928])).
% 163.72/24.22 thf(zip_derived_cl16316, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl11662, zip_derived_cl16021])).
% 163.72/24.22 thf(zip_derived_cl16719, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl16656, zip_derived_cl16316])).
% 163.72/24.22 thf(zip_derived_cl16719, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl16656, zip_derived_cl16316])).
% 163.72/24.22 thf(zip_derived_cl16719, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl16656, zip_derived_cl16316])).
% 163.72/24.22 thf(zip_derived_cl16719, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl16656, zip_derived_cl16316])).
% 163.72/24.22 thf(zip_derived_cl16316, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (multiply @ (inverse @ X0) @ X0) @ X1) = (X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl11662, zip_derived_cl16021])).
% 163.72/24.22 thf(zip_derived_cl11928, plain,
% 163.72/24.22 (![X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 163.72/24.22 = (multiply @ (inverse @ X2) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl11547, zip_derived_cl4711])).
% 163.72/24.22 thf(zip_derived_cl16925, plain,
% 163.72/24.22 (![X0 : $i, X2 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16316, zip_derived_cl11928])).
% 163.72/24.22 thf(zip_derived_cl16719, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl16656, zip_derived_cl16316])).
% 163.72/24.22 thf(zip_derived_cl16986, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl16925, zip_derived_cl16719])).
% 163.72/24.22 thf(zip_derived_cl16986, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ X0) = (multiply @ (inverse @ (multiply @ X1 @ X0)) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl16925, zip_derived_cl16719])).
% 163.72/24.22 thf(zip_derived_cl17646, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ X1)
% 163.72/24.22 = (multiply @ (inverse @ (inverse @ X0)) @
% 163.72/24.22 (inverse @ (multiply @ X1 @ X0))))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl16986, zip_derived_cl16986])).
% 163.72/24.22 thf(zip_derived_cl1149, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X0) @ X0) = (multiply @ (inverse @ X1) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl864])).
% 163.72/24.22 thf(zip_derived_cl16925, plain,
% 163.72/24.22 (![X0 : $i, X2 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16316, zip_derived_cl11928])).
% 163.72/24.22 thf(zip_derived_cl16925, plain,
% 163.72/24.22 (![X0 : $i, X2 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16316, zip_derived_cl11928])).
% 163.72/24.22 thf(zip_derived_cl16979, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ (inverse @ X1)) @ X0) = (multiply @ X1 @ X0))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl16925, zip_derived_cl16925])).
% 163.72/24.22 thf(zip_derived_cl16925, plain,
% 163.72/24.22 (![X0 : $i, X2 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16316, zip_derived_cl11928])).
% 163.72/24.22 thf(zip_derived_cl17032, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ X1 @ (multiply @ (inverse @ X1) @ X0)) = (X0))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl16979, zip_derived_cl16925])).
% 163.72/24.22 thf(zip_derived_cl17105, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((multiply @ X1 @ (multiply @ (inverse @ X0) @ X0)) = (X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl1149, zip_derived_cl17032])).
% 163.72/24.22 thf(zip_derived_cl16925, plain,
% 163.72/24.22 (![X0 : $i, X2 : $i]:
% 163.72/24.22 ((multiply @ (inverse @ X2) @ (multiply @ X2 @ X0)) = (X0))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl0, zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16719, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl16316, zip_derived_cl11928])).
% 163.72/24.22 thf(zip_derived_cl17479, plain,
% 163.72/24.22 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl17105, zip_derived_cl16925])).
% 163.72/24.22 thf(zip_derived_cl17658, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ X1) = (multiply @ X0 @ (inverse @ (multiply @ X1 @ X0))))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl17646, zip_derived_cl17479])).
% 163.72/24.22 thf(zip_derived_cl11928, plain,
% 163.72/24.22 (![X1 : $i, X2 : $i, X3 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X3 @ X1)) @ (multiply @ X3 @ X2)))
% 163.72/24.22 = (multiply @ (inverse @ X2) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl11547, zip_derived_cl4711])).
% 163.72/24.22 thf(zip_derived_cl18177, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((inverse @
% 163.72/24.22 (multiply @ (inverse @ (multiply @ X2 @ X1)) @ (inverse @ X0)))
% 163.72/24.22 = (multiply @ (inverse @ (inverse @ (multiply @ X0 @ X2))) @ X1))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl17658, zip_derived_cl11928])).
% 163.72/24.22 thf(zip_derived_cl16719, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i]:
% 163.72/24.22 ((inverse @ (multiply @ (inverse @ X1) @ X0))
% 163.72/24.22 = (multiply @ (inverse @ X0) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl16656, zip_derived_cl16316])).
% 163.72/24.22 thf(zip_derived_cl17479, plain,
% 163.72/24.22 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl17105, zip_derived_cl16925])).
% 163.72/24.22 thf(zip_derived_cl17479, plain,
% 163.72/24.22 (![X0 : $i]: ((inverse @ (inverse @ X0)) = (X0))),
% 163.72/24.22 inference('sup+', [status(thm)],
% 163.72/24.22 [zip_derived_cl17105, zip_derived_cl16925])).
% 163.72/24.22 thf(zip_derived_cl18237, plain,
% 163.72/24.22 (![X0 : $i, X1 : $i, X2 : $i]:
% 163.72/24.22 ((multiply @ X0 @ (multiply @ X2 @ X1))
% 163.72/24.22 = (multiply @ (multiply @ X0 @ X2) @ X1))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl18177, zip_derived_cl16719,
% 163.72/24.22 zip_derived_cl17479, zip_derived_cl17479])).
% 163.72/24.22 thf(zip_derived_cl18622, plain,
% 163.72/24.22 (((multiply @ a3 @ (multiply @ b3 @ c3))
% 163.72/24.22 != (multiply @ a3 @ (multiply @ b3 @ c3)))),
% 163.72/24.22 inference('demod', [status(thm)],
% 163.72/24.22 [zip_derived_cl16648, zip_derived_cl18237])).
% 163.72/24.22 thf(zip_derived_cl18623, plain, ($false),
% 163.72/24.22 inference('simplify', [status(thm)], [zip_derived_cl18622])).
% 163.72/24.22
% 163.72/24.22 % SZS output end Refutation
% 163.72/24.22
% 163.72/24.22
% 163.72/24.22 % Terminating...
% 165.27/24.33 % Runner terminated.
% 165.27/24.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------