TSTP Solution File: SWV553-1.004 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV553-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oyfHcOnZrL true
% Computer : n023.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 : Fri Sep 1 00:11:15 EDT 2023
% Result : Unsatisfiable 10.67s 2.15s
% Output : Refutation 10.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV553-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oyfHcOnZrL true
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 05:54:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.67/2.15 % Solved by fo/fo6_bce.sh.
% 10.67/2.15 % BCE start: 4
% 10.67/2.15 % BCE eliminated: 0
% 10.67/2.15 % PE start: 4
% 10.67/2.15 logic: eq
% 10.67/2.15 % PE eliminated: 0
% 10.67/2.15 % done 702 iterations in 1.390s
% 10.67/2.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.67/2.15 % SZS output start Refutation
% 10.67/2.15 thf(i3_type, type, i3: $i).
% 10.67/2.15 thf(store_type, type, store: $i > $i > $i > $i).
% 10.67/2.15 thf(a1_type, type, a1: $i).
% 10.67/2.15 thf(i2_type, type, i2: $i).
% 10.67/2.15 thf(a2_type, type, a2: $i).
% 10.67/2.15 thf(select_type, type, select: $i > $i > $i).
% 10.67/2.15 thf(i1_type, type, i1: $i).
% 10.67/2.15 thf(sk_type, type, sk: $i > $i > $i).
% 10.67/2.15 thf(i4_type, type, i4: $i).
% 10.67/2.15 thf(hyp0, axiom,
% 10.67/2.15 (( store @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @
% 10.67/2.15 ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @
% 10.67/2.15 i3 @
% 10.67/2.15 ( select @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @
% 10.67/2.15 ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @
% 10.67/2.15 i3 ) ) @
% 10.67/2.15 i4 @
% 10.67/2.15 ( select @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @
% 10.67/2.15 ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @
% 10.67/2.15 i3 @
% 10.67/2.15 ( select @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @
% 10.67/2.15 ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @
% 10.67/2.15 i3 ) ) @
% 10.67/2.15 i4 ) ) =
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @
% 10.67/2.15 ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @
% 10.67/2.15 i3 @
% 10.67/2.15 ( select @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @
% 10.67/2.15 ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @
% 10.67/2.15 i3 ) ) @
% 10.67/2.15 i4 @
% 10.67/2.15 ( select @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @
% 10.67/2.15 ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @
% 10.67/2.15 i3 @
% 10.67/2.15 ( select @
% 10.67/2.15 ( store @
% 10.67/2.15 ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @
% 10.67/2.15 ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @
% 10.67/2.15 i3 ) ) @
% 10.67/2.15 i4 ) ))).
% 10.67/2.15 thf(zip_derived_cl2, plain,
% 10.67/2.15 (((store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 = (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('cnf', [status(esa)], [hyp0])).
% 10.67/2.15 thf(a1, axiom, (( select @ ( store @ A @ I @ E ) @ I ) = ( E ))).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl4, plain,
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl14, plain,
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 10.67/2.15 thf(a2, axiom,
% 10.67/2.15 (( ( I ) = ( J ) ) |
% 10.67/2.15 ( ( select @ ( store @ A @ I @ E ) @ J ) = ( select @ A @ J ) ))).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl2, plain,
% 10.67/2.15 (((store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 = (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('cnf', [status(esa)], [hyp0])).
% 10.67/2.15 thf(zip_derived_cl6, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 = (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl38, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl119, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i4) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl132, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl119])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl533, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i4) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl829, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i3) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl533, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl839, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl829])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl868, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i3) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i2) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 X0) = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl839, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl1081, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i2) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i2) = (X0))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl868, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1105, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i2) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1081])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl1184, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1)
% 10.67/2.15 = (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1105, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1252, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1)
% 10.67/2.15 = (select @ a1 @ i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1184])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl1310, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1252, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1310, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1252, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1310, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1252, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1310, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1252, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl839, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl829])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl867, plain,
% 10.67/2.15 ((((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i2) = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl839, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl897, plain,
% 10.67/2.15 ((((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((select @ a1 @ i2)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl867, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl922, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @ a1 @ i2) = (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl897, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl978, plain,
% 10.67/2.15 ((((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl922])).
% 10.67/2.15 thf(zip_derived_cl1310, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1252, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl978, plain,
% 10.67/2.15 ((((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl922])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl132, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl119])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl532, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl552, plain,
% 10.67/2.15 ((((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl532])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl554, plain,
% 10.67/2.15 ((((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl552, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl592, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl610, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl592])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl642, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl610, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl659, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ a2 @ i3) = (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl642, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl668, plain,
% 10.67/2.15 ((((select @ a2 @ i3) = (select @ a1 @ i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl4, plain,
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl15, plain,
% 10.67/2.15 ((((i3) = (i4))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl22, plain,
% 10.67/2.15 ((((i3) = (i4))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl26, plain,
% 10.67/2.15 ((((i3) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl31, plain,
% 10.67/2.15 ((((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i3) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl32, plain,
% 10.67/2.15 ((((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i4) = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl34, plain,
% 10.67/2.15 ((((i2) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i4)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl36, plain,
% 10.67/2.15 ((((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i4)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl52, plain,
% 10.67/2.15 ((((i2) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i4)
% 10.67/2.15 = (select @ a2 @ i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl59, plain,
% 10.67/2.15 ((((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a2 @ i4) = (select @ a1 @ i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl60, plain,
% 10.67/2.15 ((((select @ a2 @ i4) = (select @ a1 @ i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 10.67/2.15 thf(zip_derived_cl1105, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i2) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1081])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl1185, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i2) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i1) = (X0))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0)
% 10.67/2.15 = (select @ a2 @ X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1105, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl1575, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i1) = (X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i2) = (X0))
% 10.67/2.15 | ((i1) = (X0))
% 10.67/2.15 | ((select @ a2 @ X0) = (select @ a1 @ X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1185, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1608, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @ a2 @ X0) = (select @ a1 @ X0))
% 10.67/2.15 | ((i2) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i1) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1575])).
% 10.67/2.15 thf(goal, conjecture,
% 10.67/2.15 (( select @ a1 @ ( sk @ a1 @ a2 ) ) = ( select @ a2 @ ( sk @ a1 @ a2 ) ))).
% 10.67/2.15 thf(zf_stmt_0, negated_conjecture,
% 10.67/2.15 (( select @ a1 @ ( sk @ a1 @ a2 ) ) != ( select @ a2 @ ( sk @ a1 @ a2 ) )),
% 10.67/2.15 inference('cnf.neg', [status(esa)], [goal])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl1787, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ (sk @ a1 @ a2)) != (select @ a1 @ (sk @ a1 @ a2))))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl1608, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl1938, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1787])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl1939, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i4) != (select @ a2 @ i4)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl1938, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl1944, plain,
% 10.67/2.15 ((((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i4) != (select @ a1 @ i4)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl1939])).
% 10.67/2.15 thf(zip_derived_cl1946, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl1957, plain,
% 10.67/2.15 ((((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl1946, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl1963, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl668, zip_derived_cl1957])).
% 10.67/2.15 thf(zip_derived_cl1965, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1963])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl2011, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl1965, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl2018, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl978, zip_derived_cl2011])).
% 10.67/2.15 thf(zip_derived_cl2020, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2018])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl2021, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl2020, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl2027, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl1310, zip_derived_cl2021])).
% 10.67/2.15 thf(zip_derived_cl2029, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2027])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl6, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 = (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 10.67/2.15 thf(zip_derived_cl41, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 = (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 10.67/2.15 thf(zip_derived_cl44, plain,
% 10.67/2.15 ((((store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 = (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl41])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl197, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl247, plain,
% 10.67/2.15 ((((i2) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl197])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl252, plain,
% 10.67/2.15 ((((i2) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl247, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl293, plain,
% 10.67/2.15 ((((i2) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl252])).
% 10.67/2.15 thf(zip_derived_cl294, plain,
% 10.67/2.15 ((((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl293])).
% 10.67/2.15 thf(zip_derived_cl442, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ a1 @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl294])).
% 10.67/2.15 thf(zip_derived_cl475, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ a1 @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @ (select @ a2 @ i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl442])).
% 10.67/2.15 thf(zip_derived_cl476, plain,
% 10.67/2.15 ((((i2) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ a1 @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @ (select @ a2 @ i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl475])).
% 10.67/2.15 thf(zip_derived_cl2136, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ a1 @ i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @ (select @ a2 @ i3)) @
% 10.67/2.15 i3))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl2029, zip_derived_cl476])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl2319, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @ a1 @ i3) = (select @ a2 @ i3))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl2136, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl2320, plain,
% 10.67/2.15 ((((select @ a1 @ i3) = (select @ a2 @ i3))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2319])).
% 10.67/2.15 thf(zip_derived_cl2029, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2027])).
% 10.67/2.15 thf(zip_derived_cl1938, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1787])).
% 10.67/2.15 thf(zip_derived_cl1941, plain,
% 10.67/2.15 ((((i4) != (i3))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1938])).
% 10.67/2.15 thf(zip_derived_cl2144, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) != (i3))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl2029, zip_derived_cl1941])).
% 10.67/2.15 thf(zip_derived_cl2331, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2144])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl2410, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl2331, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl2417, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl2320, zip_derived_cl2410])).
% 10.67/2.15 thf(zip_derived_cl2420, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2417])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl2421, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl2420, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl2428, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl978, zip_derived_cl2421])).
% 10.67/2.15 thf(zip_derived_cl2430, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2428])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl2453, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl2430, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl2483, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl1310, zip_derived_cl2453])).
% 10.67/2.15 thf(zip_derived_cl2485, plain,
% 10.67/2.15 ((((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2483])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl31, plain,
% 10.67/2.15 ((((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i3) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 10.67/2.15 thf(zip_derived_cl33, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i3) = (i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl31])).
% 10.67/2.15 thf(zip_derived_cl69, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i3) = (i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl33])).
% 10.67/2.15 thf(zip_derived_cl70, plain,
% 10.67/2.15 ((((i3) = (i4))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl69])).
% 10.67/2.15 thf(zip_derived_cl2525, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i2)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i2))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl2485, zip_derived_cl70])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl2652, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl2525, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl2653, plain,
% 10.67/2.15 ((((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2652])).
% 10.67/2.15 thf(zip_derived_cl668, plain,
% 10.67/2.15 ((((select @ a2 @ i3) = (select @ a1 @ i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 10.67/2.15 thf(zip_derived_cl2485, plain,
% 10.67/2.15 ((((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2483])).
% 10.67/2.15 thf(zip_derived_cl1938, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1787])).
% 10.67/2.15 thf(zip_derived_cl1940, plain,
% 10.67/2.15 ((((i4) != (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1938])).
% 10.67/2.15 thf(zip_derived_cl2600, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) != (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl2485, zip_derived_cl1940])).
% 10.67/2.15 thf(zip_derived_cl2767, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2600])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl2828, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl2767, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl2902, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl668, zip_derived_cl2828])).
% 10.67/2.15 thf(zip_derived_cl2904, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2902])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl2905, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl2904, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl2915, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl2653, zip_derived_cl2905])).
% 10.67/2.15 thf(zip_derived_cl2918, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2915])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl2919, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl2918, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl2965, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl1310, zip_derived_cl2919])).
% 10.67/2.15 thf(zip_derived_cl2967, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2965])).
% 10.67/2.15 thf(zip_derived_cl2485, plain,
% 10.67/2.15 ((((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl2483])).
% 10.67/2.15 thf(zip_derived_cl3091, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl2967, zip_derived_cl2485])).
% 10.67/2.15 thf(zip_derived_cl3284, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3091])).
% 10.67/2.15 thf(zip_derived_cl36, plain,
% 10.67/2.15 ((((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i4)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 10.67/2.15 thf(zip_derived_cl3298, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl3284, zip_derived_cl36])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl3422, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl3298, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl3423, plain,
% 10.67/2.15 ((((select @ a1 @ i1) = (select @ a2 @ i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3422])).
% 10.67/2.15 thf(zip_derived_cl978, plain,
% 10.67/2.15 ((((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl922])).
% 10.67/2.15 thf(zip_derived_cl668, plain,
% 10.67/2.15 ((((select @ a2 @ i3) = (select @ a1 @ i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl659])).
% 10.67/2.15 thf(zip_derived_cl3284, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3091])).
% 10.67/2.15 thf(zip_derived_cl1938, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1787])).
% 10.67/2.15 thf(zip_derived_cl1942, plain,
% 10.67/2.15 ((((i4) != (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1938])).
% 10.67/2.15 thf(zip_derived_cl3407, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) != (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl3284, zip_derived_cl1942])).
% 10.67/2.15 thf(zip_derived_cl3531, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3407])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl3765, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl3531, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl3771, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl668, zip_derived_cl3765])).
% 10.67/2.15 thf(zip_derived_cl3773, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i1) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3771])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl3774, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl3773, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl3783, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl978, zip_derived_cl3774])).
% 10.67/2.15 thf(zip_derived_cl3785, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3783])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl3826, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl3785, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl3837, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl3423, zip_derived_cl3826])).
% 10.67/2.15 thf(zip_derived_cl3840, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3837])).
% 10.67/2.15 thf(zip_derived_cl3284, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3091])).
% 10.67/2.15 thf(zip_derived_cl3966, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl3840, zip_derived_cl3284])).
% 10.67/2.15 thf(zip_derived_cl4161, plain,
% 10.67/2.15 ((((i4) = (i2)) | ((i3) = (i2)) | ((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3966])).
% 10.67/2.15 thf(zip_derived_cl3284, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl3091])).
% 10.67/2.15 thf(zip_derived_cl4287, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl4161, zip_derived_cl3284])).
% 10.67/2.15 thf(zip_derived_cl4466, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl4287])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl532, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl553, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl532])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl555, plain,
% 10.67/2.15 ((((i1) = (i2))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl553, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl556, plain,
% 10.67/2.15 ((((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl555])).
% 10.67/2.15 thf(zip_derived_cl4694, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i2)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl4466, zip_derived_cl556])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl5005, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @ a2 @ i2) = (select @ a1 @ i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl4694, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl5006, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((select @ a2 @ i2) = (select @ a1 @ i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5005])).
% 10.67/2.15 thf(zip_derived_cl4466, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl4287])).
% 10.67/2.15 thf(zip_derived_cl1946, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 10.67/2.15 thf(zip_derived_cl1959, plain,
% 10.67/2.15 ((((i3) != (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1946])).
% 10.67/2.15 thf(zip_derived_cl4700, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) != (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl4466, zip_derived_cl1959])).
% 10.67/2.15 thf(zip_derived_cl5015, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl4700])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl5071, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl5015, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl5096, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl5006, zip_derived_cl5071])).
% 10.67/2.15 thf(zip_derived_cl5099, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5096])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl5100, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl5099, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl5106, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl1310, zip_derived_cl5100])).
% 10.67/2.15 thf(zip_derived_cl5108, plain,
% 10.67/2.15 ((((i4) = (i2)) | ((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5106])).
% 10.67/2.15 thf(zip_derived_cl4466, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl4287])).
% 10.67/2.15 thf(zip_derived_cl14, plain,
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl4519, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i2 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i2 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i2)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl4466, zip_derived_cl14])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl4711, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i2 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i2 @ (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl4519, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl5226, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i2 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i2)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i2 @ (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl5108, zip_derived_cl4711])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl5375, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl5226, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl5376, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5375])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl5643, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)
% 10.67/2.15 = (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl5376, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl5713, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)
% 10.67/2.15 = (select @ a2 @ i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5643])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl5764, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((select @ a2 @ i2) = (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl5713, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl5797, plain,
% 10.67/2.15 ((((select @ a2 @ i2) = (select @ a1 @ i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5764])).
% 10.67/2.15 thf(zip_derived_cl4466, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl4287])).
% 10.67/2.15 thf(zip_derived_cl5108, plain,
% 10.67/2.15 ((((i4) = (i2)) | ((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5106])).
% 10.67/2.15 thf(zip_derived_cl1940, plain,
% 10.67/2.15 ((((i4) != (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1938])).
% 10.67/2.15 thf(zip_derived_cl5223, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) != (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl5108, zip_derived_cl1940])).
% 10.67/2.15 thf(zip_derived_cl5372, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5223])).
% 10.67/2.15 thf(zip_derived_cl5379, plain,
% 10.67/2.15 ((((i3) != (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl5372])).
% 10.67/2.15 thf(zip_derived_cl5382, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) != (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl4466, zip_derived_cl5379])).
% 10.67/2.15 thf(zip_derived_cl5383, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5382])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl5384, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl5383, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl5835, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl5797, zip_derived_cl5384])).
% 10.67/2.15 thf(zip_derived_cl5863, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2)) | ((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5835])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl5864, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl5863, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl5870, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl1310, zip_derived_cl5864])).
% 10.67/2.15 thf(zip_derived_cl5872, plain,
% 10.67/2.15 ((((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5870])).
% 10.67/2.15 thf(zip_derived_cl36, plain,
% 10.67/2.15 ((((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i4)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 10.67/2.15 thf(zip_derived_cl5886, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl5872, zip_derived_cl36])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl6009, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl5886, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl6010, plain,
% 10.67/2.15 ((((select @ a1 @ i1) = (select @ a2 @ i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6009])).
% 10.67/2.15 thf(zip_derived_cl5006, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((select @ a2 @ i2) = (select @ a1 @ i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5005])).
% 10.67/2.15 thf(zip_derived_cl4466, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl4287])).
% 10.67/2.15 thf(zip_derived_cl5872, plain,
% 10.67/2.15 ((((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5870])).
% 10.67/2.15 thf(zip_derived_cl1942, plain,
% 10.67/2.15 ((((i4) != (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1938])).
% 10.67/2.15 thf(zip_derived_cl5993, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) != (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl5872, zip_derived_cl1942])).
% 10.67/2.15 thf(zip_derived_cl6116, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5993])).
% 10.67/2.15 thf(zip_derived_cl6350, plain,
% 10.67/2.15 ((((i3) != (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl6116])).
% 10.67/2.15 thf(zip_derived_cl6353, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) != (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl4466, zip_derived_cl6350])).
% 10.67/2.15 thf(zip_derived_cl6354, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6353])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl6367, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl6354, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl6375, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl5006, zip_derived_cl6367])).
% 10.67/2.15 thf(zip_derived_cl6378, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2)) | ((i4) = (i2)) | ((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6375])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl6379, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl6378, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl6387, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl6010, zip_derived_cl6379])).
% 10.67/2.15 thf(zip_derived_cl6389, plain,
% 10.67/2.15 ((((i4) = (i2)) | ((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6387])).
% 10.67/2.15 thf(zip_derived_cl5872, plain,
% 10.67/2.15 ((((i2) = (i1)) | ((i4) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl5870])).
% 10.67/2.15 thf(zip_derived_cl6513, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl6389, zip_derived_cl5872])).
% 10.67/2.15 thf(zip_derived_cl6666, plain, ((((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6513])).
% 10.67/2.15 thf(zip_derived_cl610, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3))
% 10.67/2.15 | ((i2) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl592])).
% 10.67/2.15 thf(zip_derived_cl6855, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl6666, zip_derived_cl610])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl7103, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((select @ a2 @ i1) = (select @ a1 @ i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl6855, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl7104, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((select @ a2 @ i1) = (select @ a1 @ i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7103])).
% 10.67/2.15 thf(zip_derived_cl7104, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((select @ a2 @ i1) = (select @ a1 @ i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7103])).
% 10.67/2.15 thf(zip_derived_cl978, plain,
% 10.67/2.15 ((((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl922])).
% 10.67/2.15 thf(zip_derived_cl6666, plain, ((((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6513])).
% 10.67/2.15 thf(zip_derived_cl1946, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl1944])).
% 10.67/2.15 thf(zip_derived_cl1960, plain,
% 10.67/2.15 ((((i3) != (i1))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1946])).
% 10.67/2.15 thf(zip_derived_cl6859, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i1) != (i1))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl6666, zip_derived_cl1960])).
% 10.67/2.15 thf(zip_derived_cl7109, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6859])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl7336, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl7109, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl7341, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl978, zip_derived_cl7336])).
% 10.67/2.15 thf(zip_derived_cl7343, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7341])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl7403, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl7343, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl7460, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl7104, zip_derived_cl7403])).
% 10.67/2.15 thf(zip_derived_cl7462, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i4) = (i2)) | ((i4) = (i1)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7460])).
% 10.67/2.15 thf(zip_derived_cl70, plain,
% 10.67/2.15 ((((i3) = (i4))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl69])).
% 10.67/2.15 thf(zip_derived_cl7502, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i2)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i2))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl7462, zip_derived_cl70])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl7638, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i1) = (i2)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl7502, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl7639, plain,
% 10.67/2.15 ((((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7638])).
% 10.67/2.15 thf(zip_derived_cl6666, plain, ((((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6513])).
% 10.67/2.15 thf(zip_derived_cl7462, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i4) = (i2)) | ((i4) = (i1)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7460])).
% 10.67/2.15 thf(zip_derived_cl1940, plain,
% 10.67/2.15 ((((i4) != (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1938])).
% 10.67/2.15 thf(zip_derived_cl7585, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) != (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl7462, zip_derived_cl1940])).
% 10.67/2.15 thf(zip_derived_cl7760, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7585])).
% 10.67/2.15 thf(zip_derived_cl7828, plain,
% 10.67/2.15 ((((i3) != (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl7760])).
% 10.67/2.15 thf(zip_derived_cl7832, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i1) != (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl6666, zip_derived_cl7828])).
% 10.67/2.15 thf(zip_derived_cl7833, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7832])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl7834, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl7833, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl7840, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl7639, zip_derived_cl7834])).
% 10.67/2.15 thf(zip_derived_cl7843, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2)) | ((i3) = (i2)) | ((i4) = (i1)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7840])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl7844, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl7843, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl7850, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl7104, zip_derived_cl7844])).
% 10.67/2.15 thf(zip_derived_cl7852, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i4) = (i1)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7850])).
% 10.67/2.15 thf(zip_derived_cl6666, plain, ((((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6513])).
% 10.67/2.15 thf(zip_derived_cl294, plain,
% 10.67/2.15 ((((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl293])).
% 10.67/2.15 thf(zip_derived_cl6827, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i1 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i1 @ (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl6666, zip_derived_cl294])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl7074, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i1 @ (select @ a2 @ i1)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i1 @ (select @ a1 @ i1)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl6827, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl7075, plain,
% 10.67/2.15 ((((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i1 @ (select @ a2 @ i1)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i1 @ (select @ a1 @ i1)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7074])).
% 10.67/2.15 thf(zip_derived_cl8210, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ a1 @ i2)) @
% 10.67/2.15 i1 @ (select @ a2 @ i1)) @
% 10.67/2.15 i1)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ a2 @ i2)) @
% 10.67/2.15 i1 @ (select @ a1 @ i1)) @
% 10.67/2.15 i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl7852, zip_derived_cl7075])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl8213, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ a2 @ i1) = (select @ a1 @ i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl8210, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl8214, plain,
% 10.67/2.15 ((((select @ a2 @ i1) = (select @ a1 @ i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8213])).
% 10.67/2.15 thf(zip_derived_cl978, plain,
% 10.67/2.15 ((((select @ a1 @ i2) = (select @ a2 @ i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl922])).
% 10.67/2.15 thf(zip_derived_cl6666, plain, ((((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6513])).
% 10.67/2.15 thf(zip_derived_cl7852, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i4) = (i1)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7850])).
% 10.67/2.15 thf(zip_derived_cl1942, plain,
% 10.67/2.15 ((((i4) != (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl1938])).
% 10.67/2.15 thf(zip_derived_cl7977, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) != (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl7852, zip_derived_cl1942])).
% 10.67/2.15 thf(zip_derived_cl8097, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7977])).
% 10.67/2.15 thf(zip_derived_cl8103, plain,
% 10.67/2.15 ((((i3) != (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl8097])).
% 10.67/2.15 thf(zip_derived_cl8106, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i1) != (i1))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i2) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl6666, zip_derived_cl8103])).
% 10.67/2.15 thf(zip_derived_cl8107, plain,
% 10.67/2.15 ((((i2) = (sk @ a1 @ a2)) | ((i1) = (sk @ a1 @ a2)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8106])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl8108, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a2 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl8107, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl8111, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i2) != (select @ a1 @ i2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl978, zip_derived_cl8108])).
% 10.67/2.15 thf(zip_derived_cl8113, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2)) | ((i3) = (i2)) | ((i1) = (i2)) | ((i4) = (i2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8111])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl8148, plain,
% 10.67/2.15 ((((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl8113, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl8395, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i4) = (i2))
% 10.67/2.15 | ((i1) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl8214, zip_derived_cl8148])).
% 10.67/2.15 thf(zip_derived_cl8510, plain,
% 10.67/2.15 ((((i4) = (i2)) | ((i3) = (i2)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8395])).
% 10.67/2.15 thf(zip_derived_cl7852, plain,
% 10.67/2.15 ((((i3) = (i2)) | ((i4) = (i1)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl7850])).
% 10.67/2.15 thf(zip_derived_cl8634, plain,
% 10.67/2.15 ((((i2) = (i1))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i3) = (i2))
% 10.67/2.15 | ((i2) = (i1))
% 10.67/2.15 | ((i2) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl8510, zip_derived_cl7852])).
% 10.67/2.15 thf(zip_derived_cl8804, plain, ((((i3) = (i2)) | ((i2) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8634])).
% 10.67/2.15 thf(zip_derived_cl6666, plain, ((((i2) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl6513])).
% 10.67/2.15 thf(zip_derived_cl8942, plain,
% 10.67/2.15 ((((i2) = (i1)) | ((i2) = (i1)) | ((i2) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl8804, zip_derived_cl6666])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9187, plain,
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl14, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl2, plain,
% 10.67/2.15 (((store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 = (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('cnf', [status(esa)], [hyp0])).
% 10.67/2.15 thf(zip_derived_cl14, plain,
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl46, plain,
% 10.67/2.15 (((store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))
% 10.67/2.15 = (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl14])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl213, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i4) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl411, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i4) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl213, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl421, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i4) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl411])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9225, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i4) = (X0)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl421, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9226, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9225, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9269, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @ (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl9226])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9270, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl9269, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9388, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9270, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9391, plain,
% 10.67/2.15 ((((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9388])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9395, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9391, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9396, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ a2 @ i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9395])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9399, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ a2 @ i3) = (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9396, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9400, plain,
% 10.67/2.15 ((((select @ a2 @ i3) = (select @ a1 @ i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9399])).
% 10.67/2.15 thf(zip_derived_cl9225, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i4) = (X0)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl421, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9227, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i4) = (X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9225, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9496, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i3) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9227, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9501, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i3) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9496])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9510, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i1) = (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9501, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9516, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl9510, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9400, plain,
% 10.67/2.15 ((((select @ a2 @ i3) = (select @ a1 @ i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i4) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9399])).
% 10.67/2.15 thf(zip_derived_cl60, plain,
% 10.67/2.15 ((((select @ a2 @ i4) = (select @ a1 @ i4))
% 10.67/2.15 | ((i2) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl59])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9199, plain,
% 10.67/2.15 ((((select @ a2 @ i4) = (select @ a1 @ i4))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl9176])).
% 10.67/2.15 thf(zip_derived_cl9200, plain,
% 10.67/2.15 ((((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a2 @ i4) = (select @ a1 @ i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9199])).
% 10.67/2.15 thf(zip_derived_cl9501, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 X0)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i3) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9496])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9511, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i3) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (X0))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 X0) = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9501, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9564, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i1) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i1) = (X0))
% 10.67/2.15 | ((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ X0)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9511, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9568, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ X0)
% 10.67/2.15 = (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9564])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9570, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i1) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i1) = (X0))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0)
% 10.67/2.15 = (select @ a2 @ X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9568, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9572, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ X0)
% 10.67/2.15 = (select @ a2 @ X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9570])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9574, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((i1) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i1) = (X0))
% 10.67/2.15 | ((select @ a2 @ X0) = (select @ a1 @ X0)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9572, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9576, plain,
% 10.67/2.15 (![X0 : $i]:
% 10.67/2.15 (((select @ a2 @ X0) = (select @ a1 @ X0))
% 10.67/2.15 | ((i3) = (X0))
% 10.67/2.15 | ((i4) = (X0))
% 10.67/2.15 | ((i1) = (X0)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9574])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9601, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ (sk @ a1 @ a2)) != (select @ a1 @ (sk @ a1 @ a2))))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl9576, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl9609, plain,
% 10.67/2.15 ((((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9601])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9611, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i4) != (select @ a2 @ i4)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl9609, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl9617, plain,
% 10.67/2.15 ((((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i4) != (select @ a1 @ i4)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9200, zip_derived_cl9611])).
% 10.67/2.15 thf(zip_derived_cl9619, plain,
% 10.67/2.15 ((((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9617])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9620, plain,
% 10.67/2.15 ((((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl9619, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl9627, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9400, zip_derived_cl9620])).
% 10.67/2.15 thf(zip_derived_cl9629, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2)) | ((i1) = (i4)) | ((i1) = (i3)) | ((i4) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9627])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9635, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl9629, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl9641, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a1 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9516, zip_derived_cl9635])).
% 10.67/2.15 thf(zip_derived_cl9643, plain,
% 10.67/2.15 ((((i4) = (i3)) | ((i3) = (i1)) | ((i4) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9641])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl4, plain,
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl16, plain,
% 10.67/2.15 ((((i2) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i4)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl23, plain,
% 10.67/2.15 ((((i2) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9189, plain,
% 10.67/2.15 ((((i1) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i4)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl23, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl9176, zip_derived_cl0, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl9176, zip_derived_cl0, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl9176, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9646, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3 @ (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl9643, zip_derived_cl9189])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9658, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl9646, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9659, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9658])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9686, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9659, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9697, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i3))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9686])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9718, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9697, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9720, plain,
% 10.67/2.15 ((((select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i3)
% 10.67/2.15 = (select @ a2 @ i3))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9718])).
% 10.67/2.15 thf(zip_derived_cl1, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 10.67/2.15 (((X1) = (X0))
% 10.67/2.15 | ((select @ (store @ X2 @ X1 @ X3) @ X0) = (select @ X2 @ X0)))),
% 10.67/2.15 inference('cnf', [status(esa)], [a2])).
% 10.67/2.15 thf(zip_derived_cl9724, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ a2 @ i3) = (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9720, zip_derived_cl1])).
% 10.67/2.15 thf(zip_derived_cl9729, plain,
% 10.67/2.15 ((((select @ a2 @ i3) = (select @ a1 @ i3))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9724])).
% 10.67/2.15 thf(zip_derived_cl9643, plain,
% 10.67/2.15 ((((i4) = (i3)) | ((i3) = (i1)) | ((i4) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9641])).
% 10.67/2.15 thf(zip_derived_cl9609, plain,
% 10.67/2.15 ((((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9601])).
% 10.67/2.15 thf(zip_derived_cl9612, plain,
% 10.67/2.15 ((((i4) != (i3)) | ((i1) = (sk @ a1 @ a2)) | ((i3) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl9609])).
% 10.67/2.15 thf(zip_derived_cl9654, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i3) != (i3))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9643, zip_derived_cl9612])).
% 10.67/2.15 thf(zip_derived_cl9666, plain,
% 10.67/2.15 ((((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9654])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9667, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl9666, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl9731, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9729, zip_derived_cl9667])).
% 10.67/2.15 thf(zip_derived_cl9733, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2)) | ((i3) = (i1)) | ((i4) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9731])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9734, plain,
% 10.67/2.15 ((((i4) = (i1))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl9733, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl9516, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i4) = (i1))
% 10.67/2.15 | ((select @ a1 @ i1) = (select @ a2 @ i1)))),
% 10.67/2.15 inference('demod', [status(thm)], [zip_derived_cl9510, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9739, plain, ((((i3) = (i1)) | ((i4) = (i1)))),
% 10.67/2.15 inference('clc', [status(thm)], [zip_derived_cl9734, zip_derived_cl9516])).
% 10.67/2.15 thf(zip_derived_cl9609, plain,
% 10.67/2.15 ((((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i4) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9601])).
% 10.67/2.15 thf(zip_derived_cl9613, plain,
% 10.67/2.15 ((((i4) != (i1)) | ((i1) = (sk @ a1 @ a2)) | ((i3) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl9609])).
% 10.67/2.15 thf(zip_derived_cl9751, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i1) != (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9739, zip_derived_cl9613])).
% 10.67/2.15 thf(zip_derived_cl9765, plain,
% 10.67/2.15 ((((i3) = (sk @ a1 @ a2)) | ((i1) = (sk @ a1 @ a2)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9751])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9800, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a2 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl9765, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl9805, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((i3) = (i1))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((select @ a1 @ i3) != (select @ a1 @ i3)))),
% 10.67/2.15 inference('s_sup-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9400, zip_derived_cl9800])).
% 10.67/2.15 thf(zip_derived_cl9807, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2)) | ((i1) = (i3)) | ((i4) = (i3)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9805])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9808, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((i1) = (i3))
% 10.67/2.15 | ((select @ a1 @ i1) != (select @ a2 @ i1)))),
% 10.67/2.15 inference('s_sup-', [status(thm)], [zip_derived_cl9807, zip_derived_cl3])).
% 10.67/2.15 thf(zip_derived_cl9739, plain, ((((i3) = (i1)) | ((i4) = (i1)))),
% 10.67/2.15 inference('clc', [status(thm)], [zip_derived_cl9734, zip_derived_cl9516])).
% 10.67/2.15 thf(zip_derived_cl31, plain,
% 10.67/2.15 ((((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i2 @
% 10.67/2.15 (select @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i2)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i3) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl26])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl9176, plain, (((i2) = (i1))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl8942])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9191, plain,
% 10.67/2.15 ((((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i4))
% 10.67/2.15 | ((i3) = (i4)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl31, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9176, zip_derived_cl9176,
% 10.67/2.15 zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9744, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i1)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl9739, zip_derived_cl9191])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9757, plain,
% 10.67/2.15 ((((i3) = (i1))
% 10.67/2.15 | ((select @ a2 @ i1) = (select @ a1 @ i1))
% 10.67/2.15 | ((i3) = (i1)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl9744, zip_derived_cl0, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9758, plain,
% 10.67/2.15 ((((select @ a2 @ i1) = (select @ a1 @ i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9757])).
% 10.67/2.15 thf(zip_derived_cl9815, plain, ((((i1) = (i3)) | ((i4) = (i3)))),
% 10.67/2.15 inference('clc', [status(thm)], [zip_derived_cl9808, zip_derived_cl9758])).
% 10.67/2.15 thf(zip_derived_cl9739, plain, ((((i3) = (i1)) | ((i4) = (i1)))),
% 10.67/2.15 inference('clc', [status(thm)], [zip_derived_cl9734, zip_derived_cl9516])).
% 10.67/2.15 thf(zip_derived_cl9827, plain,
% 10.67/2.15 ((((i1) = (i3)) | ((i3) = (i1)) | ((i3) = (i1)))),
% 10.67/2.15 inference('s_sup+', [status(thm)],
% 10.67/2.15 [zip_derived_cl9815, zip_derived_cl9739])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9839, plain,
% 10.67/2.15 (((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i1 @ (select @ a2 @ i1)) @
% 10.67/2.15 i4)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i1 @ (select @ a1 @ i1)) @
% 10.67/2.15 i4))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl9187, zip_derived_cl9836, zip_derived_cl9836,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9836, zip_derived_cl9836,
% 10.67/2.15 zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9226, plain,
% 10.67/2.15 ((((i4) = (i3))
% 10.67/2.15 | ((select @
% 10.67/2.15 (store @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3 @
% 10.67/2.15 (select @
% 10.67/2.15 (store @ (store @ a2 @ i1 @ (select @ a1 @ i1)) @ i1 @
% 10.67/2.15 (select @ a2 @ i1)) @
% 10.67/2.15 i3)) @
% 10.67/2.15 i3)
% 10.67/2.15 = (select @
% 10.67/2.15 (store @ (store @ a1 @ i1 @ (select @ a2 @ i1)) @ i1 @
% 10.67/2.15 (select @ a1 @ i1)) @
% 10.67/2.15 i3)))),
% 10.67/2.15 inference('s_sup+', [status(thm)], [zip_derived_cl9225, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9851, plain,
% 10.67/2.15 ((((i4) = (i1)) | ((select @ a2 @ i1) = (select @ a1 @ i1)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl9226, zip_derived_cl9836, zip_derived_cl9836,
% 10.67/2.15 zip_derived_cl9836, zip_derived_cl0, zip_derived_cl9836,
% 10.67/2.15 zip_derived_cl0, zip_derived_cl9836, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl3, plain,
% 10.67/2.15 (((select @ a1 @ (sk @ a1 @ a2)) != (select @ a2 @ (sk @ a1 @ a2)))),
% 10.67/2.15 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.67/2.15 thf(zip_derived_cl9619, plain,
% 10.67/2.15 ((((i3) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i3) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9617])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl9871, plain,
% 10.67/2.15 ((((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (sk @ a1 @ a2))
% 10.67/2.15 | ((i1) = (i4))
% 10.67/2.15 | ((i1) = (i4)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl9619, zip_derived_cl9836, zip_derived_cl9836])).
% 10.67/2.15 thf(zip_derived_cl9872, plain, ((((i1) = (i4)) | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9871])).
% 10.67/2.15 thf(zip_derived_cl9612, plain,
% 10.67/2.15 ((((i4) != (i3)) | ((i1) = (sk @ a1 @ a2)) | ((i3) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('eq_fact', [status(thm)], [zip_derived_cl9609])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl9836, plain, (((i1) = (i3))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 10.67/2.15 thf(zip_derived_cl9867, plain,
% 10.67/2.15 ((((i4) != (i1)) | ((i1) = (sk @ a1 @ a2)) | ((i1) = (sk @ a1 @ a2)))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl9612, zip_derived_cl9836, zip_derived_cl9836])).
% 10.67/2.15 thf(zip_derived_cl9868, plain, ((((i1) = (sk @ a1 @ a2)) | ((i4) != (i1)))),
% 10.67/2.15 inference('simplify', [status(thm)], [zip_derived_cl9867])).
% 10.67/2.15 thf(zip_derived_cl9887, plain, (((i1) = (sk @ a1 @ a2))),
% 10.67/2.15 inference('clc', [status(thm)], [zip_derived_cl9872, zip_derived_cl9868])).
% 10.67/2.15 thf(zip_derived_cl9887, plain, (((i1) = (sk @ a1 @ a2))),
% 10.67/2.15 inference('clc', [status(thm)], [zip_derived_cl9872, zip_derived_cl9868])).
% 10.67/2.15 thf(zip_derived_cl9888, plain, (((select @ a1 @ i1) != (select @ a2 @ i1))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl3, zip_derived_cl9887, zip_derived_cl9887])).
% 10.67/2.15 thf(zip_derived_cl9900, plain, (((i4) = (i1))),
% 10.67/2.15 inference('simplify_reflect-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9851, zip_derived_cl9888])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9900, plain, (((i4) = (i1))),
% 10.67/2.15 inference('simplify_reflect-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9851, zip_derived_cl9888])).
% 10.67/2.15 thf(zip_derived_cl0, plain,
% 10.67/2.15 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.67/2.15 ((select @ (store @ X1 @ X2 @ X0) @ X2) = (X0))),
% 10.67/2.15 inference('cnf', [status(esa)], [a1])).
% 10.67/2.15 thf(zip_derived_cl9935, plain, (((select @ a2 @ i1) = (select @ a1 @ i1))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl9839, zip_derived_cl9900, zip_derived_cl0,
% 10.67/2.15 zip_derived_cl9900, zip_derived_cl0])).
% 10.67/2.15 thf(zip_derived_cl9888, plain, (((select @ a1 @ i1) != (select @ a2 @ i1))),
% 10.67/2.15 inference('demod', [status(thm)],
% 10.67/2.15 [zip_derived_cl3, zip_derived_cl9887, zip_derived_cl9887])).
% 10.67/2.15 thf(zip_derived_cl9936, plain, ($false),
% 10.67/2.15 inference('simplify_reflect-', [status(thm)],
% 10.67/2.15 [zip_derived_cl9935, zip_derived_cl9888])).
% 10.67/2.15
% 10.67/2.15 % SZS output end Refutation
% 10.67/2.15
% 10.67/2.15
% 10.67/2.15 % Terminating...
% 11.42/2.28 % Runner terminated.
% 11.42/2.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------