0.11/0.19 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.21 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.asyEMEBkhZ true 0.14/0.43 % Computer : n010.cluster.edu 0.14/0.43 % Model : x86_64 x86_64 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.43 % Memory : 8042.1875MB 0.14/0.43 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.43 % CPULimit : 1200 0.14/0.43 % WCLimit : 120 0.14/0.43 % DateTime : Tue Jul 13 10:32:07 EDT 2021 0.14/0.43 % CPUTime : 0.14/0.43 % Running portfolio for 120 s 0.14/0.43 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.43 % Number of cores: 8 0.14/0.44 % Python version: Python 3.6.8 0.14/0.44 % Running in FO mode 0.57/0.73 % Total configuration time : 435 0.57/0.73 % Estimated wc time : 845 0.57/0.73 % Estimated cpu time (7 cpus) : 120.71428571428571 0.57/0.80 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 58s 0.57/0.84 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 58s 0.57/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 58s 0.57/0.84 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 49s 0.57/0.85 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 39s 0.57/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 39s 0.57/0.85 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 39s 276.10/40.71 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 39s 276.43/40.80 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 39s 276.91/40.92 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 39s 343.58/50.61 % /export/starexec/sandbox/solver/bin/fo/fo2.sh running for 29s 406.22/59.70 % /export/starexec/sandbox/solver/bin/fo/fo14.sh running for 39s 408.73/60.21 % /export/starexec/sandbox/solver/bin/fo/fo20.sh running for 39s 409.65/60.44 % /export/starexec/sandbox/solver/bin/fo/fo19.sh running for 39s 426.77/62.84 % Solved by fo/fo19.sh. 426.77/62.84 % done 3483 iterations in 2.280s 426.77/62.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 426.77/62.84 % SZS output start Refutation 426.77/62.84 thf(e0_type, type, e0: $i). 426.77/62.84 thf(unit_type, type, unit: $i). 426.77/62.84 thf(e1_type, type, e1: $i). 426.77/62.84 thf(op_type, type, op: $i > $i > $i). 426.77/62.84 thf(e2_type, type, e2: $i). 426.77/62.84 thf(e3_type, type, e3: $i). 426.77/62.84 thf(e4_type, type, e4: $i). 426.77/62.84 thf(ax2, axiom, 426.77/62.84 (( ( e0 ) = ( op @ e0 @ unit ) ) & ( ( op @ unit @ e1 ) = ( e1 ) ) & 426.77/62.84 ( ( e1 ) = ( op @ e1 @ unit ) ) & ( ( op @ e2 @ unit ) = ( e2 ) ) & 426.77/62.84 ( ( e4 ) = ( op @ e4 @ unit ) ) & 426.77/62.84 ( ( ( e0 ) = ( unit ) ) | ( ( unit ) = ( e4 ) ) | ( ( unit ) = ( e3 ) ) | 426.77/62.84 ( ( e2 ) = ( unit ) ) | ( ( unit ) = ( e1 ) ) ) & 426.77/62.84 ( ( op @ unit @ e4 ) = ( e4 ) ) & ( ( op @ e3 @ unit ) = ( e3 ) ) & 426.77/62.84 ( ( e3 ) = ( op @ unit @ e3 ) ) & ( ( e2 ) = ( op @ unit @ e2 ) ) & 426.77/62.84 ( ( e0 ) = ( op @ unit @ e0 ) ))). 426.77/62.84 thf(zip_derived_cl4, plain, 426.77/62.84 ( (((((e0) = (op @ e0 @ unit))) & (((op @ unit @ e1) = (e1))) & 426.77/62.84 (((e1) = (op @ e1 @ unit))) & (((op @ e2 @ unit) = (e2))) & 426.77/62.84 (((e4) = (op @ e4 @ unit))) & 426.77/62.84 (((((e0) = (unit))) | (((unit) = (e4))) | (((unit) = (e3))) | 426.77/62.84 (((e2) = (unit))) | (((unit) = (e1))))) & 426.77/62.84 (((op @ unit @ e4) = (e4))) & (((op @ e3 @ unit) = (e3))) & 426.77/62.84 (((e3) = (op @ unit @ e3))) & (((e2) = (op @ unit @ e2))) & 426.77/62.84 (((e0) = (op @ unit @ e0)))))), 426.77/62.84 inference('cnf', [status(esa)], [ax2])). 426.77/62.84 thf(zip_derived_cl4, plain, 426.77/62.84 ( (((((e0) = (op @ e0 @ unit))) & (((op @ unit @ e1) = (e1))) & 426.77/62.84 (((e1) = (op @ e1 @ unit))) & (((op @ e2 @ unit) = (e2))) & 426.77/62.84 (((e4) = (op @ e4 @ unit))) & 426.77/62.84 (((((e0) = (unit))) | (((unit) = (e4))) | (((unit) = (e3))) | 426.77/62.84 (((e2) = (unit))) | (((unit) = (e1))))) & 426.77/62.84 (((op @ unit @ e4) = (e4))) & (((op @ e3 @ unit) = (e3))) & 426.77/62.84 (((e3) = (op @ unit @ e3))) & (((e2) = (op @ unit @ e2))) & 426.77/62.84 (((e0) = (op @ unit @ e0)))))), 426.77/62.84 inference('cnf', [status(esa)], [ax2])). 426.77/62.84 thf(zip_derived_cl360, plain, ( (((e0) = (op @ unit @ e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl361, plain, (((e0) = (op @ unit @ e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl360])). 426.77/62.84 thf(zip_derived_cl371, plain, 426.77/62.84 ( (((((e0) = (op @ e0 @ unit))) & (((op @ unit @ e1) = (e1))) & 426.77/62.84 (((e1) = (op @ e1 @ unit))) & (((op @ e2 @ unit) = (e2))) & 426.77/62.84 (((e4) = (op @ e4 @ unit))) & 426.77/62.84 (((((e0) = (unit))) | (((unit) = (e4))) | (((unit) = (e3))) | 426.77/62.84 (((e2) = (unit))) | (((unit) = (e1))))) & 426.77/62.84 (((op @ unit @ e4) = (e4))) & (((op @ e3 @ unit) = (e3))) & 426.77/62.84 (((e3) = (op @ unit @ e3))) & (((e2) = (op @ unit @ e2))) & 426.77/62.84 (((e0) = (e0)))))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl361])). 426.77/62.84 thf(zip_derived_cl350, plain, ( (((e0) = (op @ e0 @ unit)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl370, plain, (((e0) = (op @ e0 @ unit))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl350])). 426.77/62.84 thf(zip_derived_cl351, plain, ( (((op @ unit @ e1) = (e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl369, plain, (((op @ unit @ e1) = (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl351])). 426.77/62.84 thf(zip_derived_cl352, plain, ( (((e1) = (op @ e1 @ unit)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl368, plain, (((e1) = (op @ e1 @ unit))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl352])). 426.77/62.84 thf(zip_derived_cl353, plain, ( (((op @ e2 @ unit) = (e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl367, plain, (((op @ e2 @ unit) = (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl353])). 426.77/62.84 thf(zip_derived_cl354, plain, ( (((e4) = (op @ e4 @ unit)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl366, plain, (((e4) = (op @ e4 @ unit))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl354])). 426.77/62.84 thf(zip_derived_cl356, plain, ( (((op @ unit @ e4) = (e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl365, plain, (((op @ unit @ e4) = (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl356])). 426.77/62.84 thf(zip_derived_cl357, plain, ( (((op @ e3 @ unit) = (e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl364, plain, (((op @ e3 @ unit) = (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl357])). 426.77/62.84 thf(zip_derived_cl358, plain, ( (((e3) = (op @ unit @ e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl363, plain, (((e3) = (op @ unit @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl358])). 426.77/62.84 thf(zip_derived_cl359, plain, ( (((e2) = (op @ unit @ e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 426.77/62.84 thf(zip_derived_cl362, plain, (((e2) = (op @ unit @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl359])). 426.77/62.84 thf(zip_derived_cl606, plain, 426.77/62.84 ( (((((e0) = (e0))) & (((e1) = (e1))) & (((e1) = (e1))) & 426.77/62.84 (((e2) = (e2))) & (((e4) = (e4))) & 426.77/62.84 (((((e0) = (unit))) | (((unit) = (e4))) | (((unit) = (e3))) | 426.77/62.84 (((e2) = (unit))) | (((unit) = (e1))))) & 426.77/62.84 (((e4) = (e4))) & (((e3) = (e3))) & (((e3) = (e3))) & 426.77/62.84 (((e2) = (e2))) & (((e0) = (e0)))))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl371, zip_derived_cl370, zip_derived_cl369, 426.77/62.84 zip_derived_cl368, zip_derived_cl367, zip_derived_cl366, 426.77/62.84 zip_derived_cl365, zip_derived_cl364, zip_derived_cl363, 426.77/62.84 zip_derived_cl362])). 426.77/62.84 thf(zip_derived_cl612, plain, 426.77/62.84 ( (((((e0) = (unit))) | (((unit) = (e4))) | (((unit) = (e3))) | 426.77/62.84 (((e2) = (unit))) | (((unit) = (e1)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl606])). 426.77/62.84 thf(zip_derived_cl1536, plain, 426.77/62.84 (( (((e0) = (unit))) 426.77/62.84 | (((unit) = (e4))) 426.77/62.84 | (((unit) = (e3))) 426.77/62.84 | (((e2) = (unit))) 426.77/62.84 | (((unit) = (e1))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl612])). 426.77/62.84 thf(zip_derived_cl1537, plain, 426.77/62.84 ((((e0) = (unit)) 426.77/62.84 | ((unit) = (e4)) 426.77/62.84 | ((unit) = (e3)) 426.77/62.84 | ((e2) = (unit)) 426.77/62.84 | ((unit) = (e1)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1536])). 426.77/62.84 thf(zip_derived_cl1538, plain, ((((unit) = (e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.84 thf(zip_derived_cl368, plain, (((e1) = (op @ e1 @ unit))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl352])). 426.77/62.84 thf(zip_derived_cl1550, plain, 426.77/62.84 ((((e1) = (op @ e1 @ e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl368])). 426.77/62.84 thf(ax1, axiom, 426.77/62.84 (( ( ( op @ e1 @ e1 ) = ( e0 ) ) | ( ( op @ e1 @ e1 ) = ( e1 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e1 @ e1 ) ) | ( ( op @ e1 @ e1 ) = ( e3 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e1 @ e1 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e4 ) = ( e2 ) ) | ( ( e3 ) = ( op @ e1 @ e4 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e1 @ e4 ) ) | ( ( op @ e1 @ e4 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e1 @ e4 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( op @ e2 @ e1 ) = ( e2 ) ) | ( ( e4 ) = ( op @ e2 @ e1 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e2 @ e1 ) ) | ( ( op @ e2 @ e1 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e2 @ e1 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e2 @ e2 ) ) | ( ( op @ e2 @ e2 ) = ( e2 ) ) | 426.77/62.84 ( ( op @ e2 @ e2 ) = ( e4 ) ) | ( ( op @ e2 @ e2 ) = ( e3 ) ) | 426.77/62.84 ( ( op @ e2 @ e2 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( e2 ) = ( op @ e2 @ e4 ) ) | ( ( op @ e2 @ e4 ) = ( e3 ) ) | 426.77/62.84 ( ( op @ e2 @ e4 ) = ( e4 ) ) | ( ( op @ e2 @ e4 ) = ( e1 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e2 @ e4 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e3 @ e0 ) ) | ( ( e3 ) = ( op @ e3 @ e0 ) ) | 426.77/62.84 ( ( op @ e3 @ e0 ) = ( e4 ) ) | ( ( op @ e3 @ e0 ) = ( e2 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e3 @ e0 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e3 @ e2 ) ) | ( ( e1 ) = ( op @ e3 @ e2 ) ) | 426.77/62.84 ( ( op @ e3 @ e2 ) = ( e2 ) ) | ( ( e3 ) = ( op @ e3 @ e2 ) ) | 426.77/62.84 ( ( op @ e3 @ e2 ) = ( e4 ) ) ) & 426.77/62.84 ( ( ( op @ e3 @ e3 ) = ( e0 ) ) | ( ( e2 ) = ( op @ e3 @ e3 ) ) | 426.77/62.84 ( ( op @ e3 @ e3 ) = ( e3 ) ) | ( ( op @ e3 @ e3 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e3 @ e3 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e4 @ e0 ) ) | ( ( op @ e4 @ e0 ) = ( e2 ) ) | 426.77/62.84 ( ( op @ e4 @ e0 ) = ( e4 ) ) | ( ( op @ e4 @ e0 ) = ( e3 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e4 @ e0 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e4 @ e2 ) ) | ( ( op @ e4 @ e2 ) = ( e2 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e4 @ e2 ) ) | ( ( op @ e4 @ e2 ) = ( e4 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e4 @ e2 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e4 @ e4 ) ) | ( ( op @ e4 @ e4 ) = ( e2 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e4 @ e4 ) ) | ( ( e4 ) = ( op @ e4 @ e4 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e4 @ e4 ) ) ) & 426.77/62.84 ( ( ( op @ e4 @ e3 ) = ( e0 ) ) | ( ( e2 ) = ( op @ e4 @ e3 ) ) | 426.77/62.84 ( ( op @ e4 @ e3 ) = ( e3 ) ) | ( ( e4 ) = ( op @ e4 @ e3 ) ) | 426.77/62.84 ( ( op @ e4 @ e3 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( op @ e4 @ e1 ) = ( e1 ) ) | ( ( op @ e4 @ e1 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e4 @ e1 ) = ( e3 ) ) | ( ( op @ e4 @ e1 ) = ( e2 ) ) | 426.77/62.84 ( ( op @ e4 @ e1 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e3 @ e4 ) ) | ( ( e2 ) = ( op @ e3 @ e4 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e3 @ e4 ) ) | ( ( op @ e3 @ e4 ) = ( e3 ) ) | 426.77/62.84 ( ( op @ e3 @ e4 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( op @ e3 @ e1 ) = ( e1 ) ) | ( ( op @ e3 @ e1 ) = ( e3 ) ) | 426.77/62.84 ( ( op @ e3 @ e1 ) = ( e4 ) ) | ( ( op @ e3 @ e1 ) = ( e2 ) ) | 426.77/62.84 ( ( op @ e3 @ e1 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( e3 ) = ( op @ e2 @ e3 ) ) | ( ( op @ e2 @ e3 ) = ( e4 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e2 @ e3 ) ) | ( ( op @ e2 @ e3 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e2 @ e3 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e2 @ e0 ) ) | ( ( e4 ) = ( op @ e2 @ e0 ) ) | 426.77/62.84 ( ( op @ e2 @ e0 ) = ( e3 ) ) | ( ( op @ e2 @ e0 ) = ( e2 ) ) | 426.77/62.84 ( ( op @ e2 @ e0 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e1 @ e3 ) ) | ( ( op @ e1 @ e3 ) = ( e4 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e1 @ e3 ) ) | ( ( e2 ) = ( op @ e1 @ e3 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e1 @ e3 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e2 ) = ( e2 ) ) | ( ( e4 ) = ( op @ e1 @ e2 ) ) | 426.77/62.84 ( ( op @ e1 @ e2 ) = ( e3 ) ) | ( ( e1 ) = ( op @ e1 @ e2 ) ) | 426.77/62.84 ( ( op @ e1 @ e2 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e0 ) = ( e0 ) ) | ( ( e4 ) = ( op @ e1 @ e0 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e1 @ e0 ) ) | ( ( e2 ) = ( op @ e1 @ e0 ) ) | 426.77/62.84 ( ( op @ e1 @ e0 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e4 ) = ( e0 ) ) | ( ( op @ e0 @ e4 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e0 @ e4 ) = ( e2 ) ) | ( ( e3 ) = ( op @ e0 @ e4 ) ) | 426.77/62.84 ( ( op @ e0 @ e4 ) = ( e4 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e0 @ e3 ) ) | ( ( op @ e0 @ e3 ) = ( e1 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e0 @ e3 ) ) | ( ( op @ e0 @ e3 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e0 @ e3 ) = ( e2 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e2 ) = ( e2 ) ) | ( ( e4 ) = ( op @ e0 @ e2 ) ) | 426.77/62.84 ( ( op @ e0 @ e2 ) = ( e3 ) ) | ( ( op @ e0 @ e2 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e0 @ e2 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e0 @ e1 ) ) | ( ( e2 ) = ( op @ e0 @ e1 ) ) | 426.77/62.84 ( ( op @ e0 @ e1 ) = ( e3 ) ) | ( ( op @ e0 @ e1 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e0 @ e1 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e0 ) = ( e1 ) ) | ( ( op @ e0 @ e0 ) = ( e2 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e0 @ e0 ) ) | ( ( op @ e0 @ e0 ) = ( e3 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e0 @ e0 ) ) ))). 426.77/62.84 thf(zip_derived_cl2, plain, 426.77/62.84 ( (((((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e1) = (e1))) | 426.77/62.84 (((e2) = (op @ e1 @ e1))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.84 (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e2))) | (((e3) = (op @ e1 @ e4))) | 426.77/62.84 (((e4) = (op @ e1 @ e4))) | (((op @ e1 @ e4) = (e1))) | 426.77/62.84 (((op @ e1 @ e4) = (e0))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e2))) | (((e4) = (op @ e2 @ e1))) | 426.77/62.84 (((e3) = (op @ e2 @ e1))) | (((op @ e2 @ e1) = (e1))) | 426.77/62.84 (((op @ e2 @ e1) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e2 @ e2))) | (((op @ e2 @ e2) = (e2))) | 426.77/62.84 (((op @ e2 @ e2) = (e4))) | (((op @ e2 @ e2) = (e3))) | 426.77/62.84 (((op @ e2 @ e2) = (e1))))) & 426.77/62.84 (((((e2) = (op @ e2 @ e4))) | (((op @ e2 @ e4) = (e3))) | 426.77/62.84 (((op @ e2 @ e4) = (e4))) | (((op @ e2 @ e4) = (e1))) | 426.77/62.84 (((e0) = (op @ e2 @ e4))))) & 426.77/62.84 (((((e1) = (op @ e3 @ e0))) | (((e3) = (op @ e3 @ e0))) | 426.77/62.84 (((op @ e3 @ e0) = (e4))) | (((op @ e3 @ e0) = (e2))) | 426.77/62.84 (((e0) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e3 @ e2))) | (((e1) = (op @ e3 @ e2))) | 426.77/62.84 (((op @ e3 @ e2) = (e2))) | (((e3) = (op @ e3 @ e2))) | 426.77/62.84 (((op @ e3 @ e2) = (e4))))) & 426.77/62.84 (((((op @ e3 @ e3) = (e0))) | (((e2) = (op @ e3 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | (((op @ e3 @ e3) = (e4))) | 426.77/62.84 (((op @ e3 @ e3) = (e1))))) & 426.77/62.84 (((((e0) = (op @ e4 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))) | (((op @ e4 @ e0) = (e3))) | 426.77/62.84 (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e4))) | 426.77/62.84 (((e0) = (op @ e4 @ e2))))) & 426.77/62.84 (((((e0) = (op @ e4 @ e4))) | (((op @ e4 @ e4) = (e2))) | 426.77/62.84 (((e3) = (op @ e4 @ e4))) | (((e4) = (op @ e4 @ e4))) | 426.77/62.84 (((e1) = (op @ e4 @ e4))))) & 426.77/62.84 (((((op @ e4 @ e3) = (e0))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e3) = (e3))) | (((e4) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e3) = (e1))))) & 426.77/62.84 (((((op @ e4 @ e1) = (e1))) | (((op @ e4 @ e1) = (e4))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((op @ e4 @ e1) = (e2))) | 426.77/62.84 (((op @ e4 @ e1) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e3 @ e4))) | (((e2) = (op @ e3 @ e4))) | 426.77/62.84 (((e4) = (op @ e3 @ e4))) | (((op @ e3 @ e4) = (e3))) | 426.77/62.84 (((op @ e3 @ e4) = (e1))))) & 426.77/62.84 (((((op @ e3 @ e1) = (e1))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e3 @ e1) = (e4))) | (((op @ e3 @ e1) = (e2))) | 426.77/62.84 (((op @ e3 @ e1) = (e0))))) & 426.77/62.84 (((((e3) = (op @ e2 @ e3))) | (((op @ e2 @ e3) = (e4))) | 426.77/62.84 (((e2) = (op @ e2 @ e3))) | (((op @ e2 @ e3) = (e1))) | 426.77/62.84 (((op @ e2 @ e3) = (e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e0))) | (((e4) = (op @ e2 @ e0))) | 426.77/62.84 (((op @ e2 @ e0) = (e3))) | (((op @ e2 @ e0) = (e2))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e3) = (e4))) | 426.77/62.84 (((e3) = (op @ e1 @ e3))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e3))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | (((e4) = (op @ e1 @ e2))) | 426.77/62.84 (((op @ e1 @ e2) = (e3))) | (((e1) = (op @ e1 @ e2))) | 426.77/62.84 (((op @ e1 @ e2) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e0) = (e0))) | (((e4) = (op @ e1 @ e0))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 (((((op @ e0 @ e4) = (e0))) | (((op @ e0 @ e4) = (e1))) | 426.77/62.84 (((op @ e0 @ e4) = (e2))) | (((e3) = (op @ e0 @ e4))) | 426.77/62.84 (((op @ e0 @ e4) = (e4))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((op @ e0 @ e2) = (e2))) | (((e4) = (op @ e0 @ e2))) | 426.77/62.84 (((op @ e0 @ e2) = (e3))) | (((op @ e0 @ e2) = (e1))) | 426.77/62.84 (((op @ e0 @ e2) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e2) = (op @ e0 @ e1))) | 426.77/62.84 (((op @ e0 @ e1) = (e3))) | (((op @ e0 @ e1) = (e4))) | 426.77/62.84 (((op @ e0 @ e1) = (e1))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e1))) | (((op @ e0 @ e0) = (e2))) | 426.77/62.84 (((e4) = (op @ e0 @ e0))) | (((op @ e0 @ e0) = (e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e0)))))))), 426.77/62.84 inference('cnf', [status(esa)], [ax1])). 426.77/62.84 thf(ax6, axiom, 426.77/62.84 (( ( op @ ( op @ e2 @ ( op @ e2 @ e2 ) ) @ ( op @ e2 @ e2 ) ) = ( e1 ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e2 ) ) = ( e3 ) ) & 426.77/62.84 ( ( e4 ) = ( op @ e2 @ e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e2 ) @ ( op @ e2 @ e2 ) ) = ( e0 ) ))). 426.77/62.84 thf(zip_derived_cl6, plain, 426.77/62.84 ( (((((op @ (op @ e2 @ (op @ e2 @ e2)) @ (op @ e2 @ e2)) = (e1))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e2)) = (e3))) & (((e4) = (op @ e2 @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e2) @ (op @ e2 @ e2)) = (e0)))))), 426.77/62.84 inference('cnf', [status(esa)], [ax6])). 426.77/62.84 thf(zip_derived_cl9, plain, ( (((e4) = (op @ e2 @ e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl8, plain, ( (((op @ e2 @ (op @ e2 @ e2)) = (e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 426.77/62.84 thf(zip_derived_cl13, plain, (((op @ e2 @ (op @ e2 @ e2)) = (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl8])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl10, plain, 426.77/62.84 ( (((op @ (op @ e2 @ e2) @ (op @ e2 @ e2)) = (e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 426.77/62.84 thf(zip_derived_cl11, plain, 426.77/62.84 (((op @ (op @ e2 @ e2) @ (op @ e2 @ e2)) = (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl7, plain, 426.77/62.84 ( (((op @ (op @ e2 @ (op @ e2 @ e2)) @ (op @ e2 @ e2)) = (e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 426.77/62.84 thf(zip_derived_cl14, plain, 426.77/62.84 (((op @ (op @ e2 @ (op @ e2 @ e2)) @ (op @ e2 @ e2)) = (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl261, plain, 426.77/62.84 ( (((((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e1) = (e1))) | 426.77/62.84 (((e2) = (op @ e1 @ e1))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.84 (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e2))) | (((e3) = (op @ e1 @ e4))) | 426.77/62.84 (((e4) = (op @ e1 @ e4))) | (((op @ e1 @ e4) = (e1))) | 426.77/62.84 (((op @ e1 @ e4) = (e0))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e2))) | (((e4) = (op @ e2 @ e1))) | 426.77/62.84 (((e3) = (op @ e2 @ e1))) | (((op @ e2 @ e1) = (e1))) | 426.77/62.84 (((op @ e2 @ e1) = (e0))))) & 426.77/62.84 (((((e0) = (e4))) | (((e4) = (e2))) | (((e4) = (e4))) | 426.77/62.84 (((e4) = (e3))) | (((e4) = (e1))))) & 426.77/62.84 (((((e2) = (e3))) | (((e3) = (e3))) | (((e3) = (e4))) | 426.77/62.84 (((e3) = (e1))) | (((e0) = (e3))))) & 426.77/62.84 (((((e1) = (op @ e3 @ e0))) | (((e3) = (op @ e3 @ e0))) | 426.77/62.84 (((op @ e3 @ e0) = (e4))) | (((op @ e3 @ e0) = (e2))) | 426.77/62.84 (((e0) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e3 @ e2))) | (((e1) = (op @ e3 @ e2))) | 426.77/62.84 (((op @ e3 @ e2) = (e2))) | (((e3) = (op @ e3 @ e2))) | 426.77/62.84 (((op @ e3 @ e2) = (e4))))) & 426.77/62.84 (((((op @ e3 @ e3) = (e0))) | (((e2) = (op @ e3 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | (((op @ e3 @ e3) = (e4))) | 426.77/62.84 (((op @ e3 @ e3) = (e1))))) & 426.77/62.84 (((((e0) = (op @ e4 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))) | (((op @ e4 @ e0) = (e3))) | 426.77/62.84 (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e4))) | 426.77/62.84 (((e0) = (op @ e4 @ e2))))) & 426.77/62.84 (((((e0) = (e0))) | (((e0) = (e2))) | (((e3) = (e0))) | 426.77/62.84 (((e4) = (e0))) | (((e1) = (e0))))) & 426.77/62.84 (((((op @ e4 @ e3) = (e0))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e3) = (e3))) | (((e4) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e3) = (e1))))) & 426.77/62.84 (((((op @ e4 @ e1) = (e1))) | (((op @ e4 @ e1) = (e4))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((op @ e4 @ e1) = (e2))) | 426.77/62.84 (((op @ e4 @ e1) = (e0))))) & 426.77/62.84 (((((e0) = (e1))) | (((e2) = (e1))) | (((e4) = (e1))) | 426.77/62.84 (((e1) = (e3))) | (((e1) = (e1))))) & 426.77/62.84 (((((op @ e3 @ e1) = (e1))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e3 @ e1) = (e4))) | (((op @ e3 @ e1) = (e2))) | 426.77/62.84 (((op @ e3 @ e1) = (e0))))) & 426.77/62.84 (((((e3) = (op @ e2 @ e3))) | (((op @ e2 @ e3) = (e4))) | 426.77/62.84 (((e2) = (op @ e2 @ e3))) | (((op @ e2 @ e3) = (e1))) | 426.77/62.84 (((op @ e2 @ e3) = (e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e0))) | (((e4) = (op @ e2 @ e0))) | 426.77/62.84 (((op @ e2 @ e0) = (e3))) | (((op @ e2 @ e0) = (e2))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e3) = (e4))) | 426.77/62.84 (((e3) = (op @ e1 @ e3))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e3))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | (((e4) = (op @ e1 @ e2))) | 426.77/62.84 (((op @ e1 @ e2) = (e3))) | (((e1) = (op @ e1 @ e2))) | 426.77/62.84 (((op @ e1 @ e2) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e0) = (e0))) | (((e4) = (op @ e1 @ e0))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 (((((op @ e0 @ e4) = (e0))) | (((op @ e0 @ e4) = (e1))) | 426.77/62.84 (((op @ e0 @ e4) = (e2))) | (((e3) = (op @ e0 @ e4))) | 426.77/62.84 (((op @ e0 @ e4) = (e4))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((op @ e0 @ e2) = (e2))) | (((e4) = (op @ e0 @ e2))) | 426.77/62.84 (((op @ e0 @ e2) = (e3))) | (((op @ e0 @ e2) = (e1))) | 426.77/62.84 (((op @ e0 @ e2) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e2) = (op @ e0 @ e1))) | 426.77/62.84 (((op @ e0 @ e1) = (e3))) | (((op @ e0 @ e1) = (e4))) | 426.77/62.84 (((op @ e0 @ e1) = (e1))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e1))) | (((op @ e0 @ e0) = (e2))) | 426.77/62.84 (((e4) = (op @ e0 @ e0))) | (((op @ e0 @ e0) = (e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e0)))))))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl2, zip_derived_cl12, zip_derived_cl12, 426.77/62.84 zip_derived_cl12, zip_derived_cl12, zip_derived_cl12, 426.77/62.84 zip_derived_cl16, zip_derived_cl16, zip_derived_cl16, 426.77/62.84 zip_derived_cl16, zip_derived_cl16, zip_derived_cl17, 426.77/62.84 zip_derived_cl17, zip_derived_cl17, zip_derived_cl17, 426.77/62.84 zip_derived_cl17, zip_derived_cl18, zip_derived_cl18, 426.77/62.84 zip_derived_cl18, zip_derived_cl18, zip_derived_cl18])). 426.77/62.84 thf(ax5, axiom, 426.77/62.84 (( ( e0 ) != ( e3 ) ) & ( ( e2 ) != ( e3 ) ) & ( ( e3 ) != ( e4 ) ) & 426.77/62.84 ( ( e4 ) != ( e2 ) ) & ( ( e1 ) != ( e4 ) ) & ( ( e1 ) != ( e3 ) ) & 426.77/62.84 ( ( e1 ) != ( e2 ) ) & ( ( e4 ) != ( e0 ) ) & ( ( e2 ) != ( e0 ) ) & 426.77/62.84 ( ( e0 ) != ( e1 ) ))). 426.77/62.84 thf(zip_derived_cl5, plain, 426.77/62.84 ( (((((e0) != (e3))) & (((e2) != (e3))) & (((e3) != (e4))) & 426.77/62.84 (((e4) != (e2))) & (((e1) != (e4))) & (((e1) != (e3))) & 426.77/62.84 (((e1) != (e2))) & (((e4) != (e0))) & (((e2) != (e0))) & 426.77/62.84 (((e0) != (e1)))))), 426.77/62.84 inference('cnf', [status(esa)], [ax5])). 426.77/62.84 thf(zip_derived_cl44, plain, ( (((e0) != (e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.84 thf(zip_derived_cl43, plain, ( (((e2) != (e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.84 thf(zip_derived_cl42, plain, ( (((e4) != (e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl47, plain, (((e4) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 426.77/62.84 thf(zip_derived_cl41, plain, ( (((e1) != (e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.84 thf(zip_derived_cl40, plain, ( (((e1) != (e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.84 thf(zip_derived_cl39, plain, ( (((e1) != (e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.84 thf(zip_derived_cl38, plain, ( (((e4) != (e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.84 thf(zip_derived_cl37, plain, ( (((e3) != (e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.84 thf(zip_derived_cl36, plain, ( (((e2) != (e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.84 thf(zip_derived_cl35, plain, ( (((e0) != (e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 426.77/62.84 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.84 thf(ax4, axiom, 426.77/62.84 (( ( op @ e2 @ e0 ) != ( op @ e0 @ e0 ) ) & 426.77/62.84 ( ( op @ e2 @ e0 ) != ( op @ e1 @ e0 ) ) & 426.77/62.84 ( ( op @ e1 @ e0 ) != ( op @ e3 @ e0 ) ) & 426.77/62.84 ( ( op @ e1 @ e0 ) != ( op @ e4 @ e0 ) ) & 426.77/62.84 ( ( op @ e3 @ e0 ) != ( op @ e2 @ e0 ) ) & 426.77/62.84 ( ( op @ e4 @ e0 ) != ( op @ e3 @ e0 ) ) & 426.77/62.84 ( ( op @ e1 @ e1 ) != ( op @ e0 @ e1 ) ) & 426.77/62.84 ( ( op @ e3 @ e1 ) != ( op @ e0 @ e1 ) ) & 426.77/62.84 ( ( op @ e4 @ e1 ) != ( op @ e0 @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e1 ) != ( op @ e3 @ e1 ) ) & 426.77/62.84 ( ( op @ e4 @ e1 ) != ( op @ e2 @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e2 ) != ( op @ e0 @ e2 ) ) & 426.77/62.84 ( ( op @ e0 @ e2 ) != ( op @ e3 @ e2 ) ) & 426.77/62.84 ( ( op @ e0 @ e2 ) != ( op @ e4 @ e2 ) ) & 426.77/62.84 ( ( op @ e4 @ e2 ) != ( op @ e2 @ e2 ) ) & 426.77/62.84 ( ( op @ e3 @ e2 ) != ( op @ e4 @ e2 ) ) & 426.77/62.84 ( ( op @ e0 @ e3 ) != ( op @ e1 @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e3 ) != ( op @ e2 @ e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e3 ) != ( op @ e0 @ e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e3 ) != ( op @ e1 @ e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e3 ) != ( op @ e3 @ e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e3 ) != ( op @ e4 @ e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e3 ) != ( op @ e4 @ e3 ) ) & 426.77/62.84 ( ( op @ e1 @ e4 ) != ( op @ e0 @ e4 ) ) & 426.77/62.84 ( ( op @ e0 @ e4 ) != ( op @ e3 @ e4 ) ) & 426.77/62.84 ( ( op @ e1 @ e4 ) != ( op @ e4 @ e4 ) ) & 426.77/62.84 ( ( op @ e0 @ e0 ) != ( op @ e0 @ e2 ) ) & 426.77/62.84 ( ( op @ e0 @ e0 ) != ( op @ e0 @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e1 ) != ( op @ e0 @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e4 ) != ( op @ e0 @ e1 ) ) & 426.77/62.84 ( ( op @ e0 @ e3 ) != ( op @ e0 @ e4 ) ) & 426.77/62.84 ( ( op @ e1 @ e1 ) != ( op @ e1 @ e0 ) ) & 426.77/62.84 ( ( op @ e1 @ e0 ) != ( op @ e1 @ e2 ) ) & 426.77/62.84 ( ( op @ e1 @ e0 ) != ( op @ e1 @ e4 ) ) & 426.77/62.84 ( ( op @ e1 @ e1 ) != ( op @ e1 @ e2 ) ) & 426.77/62.84 ( ( op @ e1 @ e2 ) != ( op @ e1 @ e4 ) ) & 426.77/62.84 ( ( op @ e2 @ e1 ) != ( op @ e2 @ e0 ) ) & 426.77/62.84 ( ( op @ e2 @ e2 ) != ( op @ e2 @ e0 ) ) & 426.77/62.84 ( ( op @ e2 @ e0 ) != ( op @ e2 @ e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e0 ) != ( op @ e2 @ e4 ) ) & 426.77/62.84 ( ( op @ e2 @ e1 ) != ( op @ e2 @ e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e4 ) != ( op @ e2 @ e1 ) ) & 426.77/62.84 ( ( op @ e2 @ e2 ) != ( op @ e2 @ e4 ) ) & 426.77/62.84 ( ( op @ e3 @ e3 ) != ( op @ e3 @ e0 ) ) & 426.77/62.84 ( ( op @ e3 @ e1 ) != ( op @ e3 @ e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e3 ) != ( op @ e3 @ e2 ) ) & 426.77/62.84 ( ( op @ e3 @ e4 ) != ( op @ e3 @ e3 ) ) & 426.77/62.84 ( ( op @ e4 @ e0 ) != ( op @ e4 @ e1 ) ) & 426.77/62.84 ( ( op @ e4 @ e2 ) != ( op @ e4 @ e0 ) ) & 426.77/62.84 ( ( op @ e4 @ e3 ) != ( op @ e4 @ e0 ) ) & 426.77/62.84 ( ( op @ e4 @ e0 ) != ( op @ e4 @ e4 ) ) & 426.77/62.84 ( ( op @ e4 @ e1 ) != ( op @ e4 @ e2 ) ) & 426.77/62.84 ( ( op @ e4 @ e3 ) != ( op @ e4 @ e2 ) ) & 426.77/62.84 ( ( op @ e4 @ e4 ) != ( op @ e4 @ e3 ) ) & 426.77/62.84 ( ( op @ e4 @ e4 ) != ( op @ e4 @ e2 ) ) & 426.77/62.84 ( ( op @ e4 @ e4 ) != ( op @ e4 @ e1 ) ) & 426.77/62.84 ( ( op @ e4 @ e1 ) != ( op @ e4 @ e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e2 ) != ( op @ e3 @ e4 ) ) & 426.77/62.84 ( ( op @ e3 @ e1 ) != ( op @ e3 @ e4 ) ) & 426.77/62.84 ( ( op @ e3 @ e1 ) != ( op @ e3 @ e2 ) ) & 426.77/62.84 ( ( op @ e3 @ e0 ) != ( op @ e3 @ e4 ) ) & 426.77/62.84 ( ( op @ e3 @ e2 ) != ( op @ e3 @ e0 ) ) & 426.77/62.84 ( ( op @ e3 @ e0 ) != ( op @ e3 @ e1 ) ) & 426.77/62.84 ( ( op @ e2 @ e4 ) != ( op @ e2 @ e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e2 ) != ( op @ e2 @ e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e2 ) != ( op @ e2 @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e4 ) != ( op @ e1 @ e3 ) ) & 426.77/62.84 ( ( op @ e1 @ e3 ) != ( op @ e1 @ e2 ) ) & 426.77/62.84 ( ( op @ e1 @ e4 ) != ( op @ e1 @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e1 ) != ( op @ e1 @ e3 ) ) & 426.77/62.84 ( ( op @ e1 @ e0 ) != ( op @ e1 @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e2 ) != ( op @ e0 @ e4 ) ) & 426.77/62.84 ( ( op @ e0 @ e2 ) != ( op @ e0 @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e1 ) != ( op @ e0 @ e2 ) ) & 426.77/62.84 ( ( op @ e0 @ e4 ) != ( op @ e0 @ e0 ) ) & 426.77/62.84 ( ( op @ e0 @ e0 ) != ( op @ e0 @ e1 ) ) & 426.77/62.84 ( ( op @ e3 @ e4 ) != ( op @ e4 @ e4 ) ) & 426.77/62.84 ( ( op @ e4 @ e4 ) != ( op @ e2 @ e4 ) ) & 426.77/62.84 ( ( op @ e2 @ e4 ) != ( op @ e3 @ e4 ) ) & 426.77/62.84 ( ( op @ e3 @ e4 ) != ( op @ e1 @ e4 ) ) & 426.77/62.84 ( ( op @ e1 @ e4 ) != ( op @ e2 @ e4 ) ) & 426.77/62.84 ( ( op @ e0 @ e4 ) != ( op @ e4 @ e4 ) ) & 426.77/62.84 ( ( op @ e2 @ e4 ) != ( op @ e0 @ e4 ) ) & 426.77/62.84 ( ( op @ e1 @ e3 ) != ( op @ e4 @ e3 ) ) & 426.77/62.84 ( ( op @ e1 @ e3 ) != ( op @ e2 @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e3 ) != ( op @ e4 @ e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e2 ) != ( op @ e3 @ e2 ) ) & 426.77/62.84 ( ( op @ e1 @ e2 ) != ( op @ e4 @ e2 ) ) & 426.77/62.84 ( ( op @ e1 @ e2 ) != ( op @ e3 @ e2 ) ) & 426.77/62.84 ( ( op @ e2 @ e2 ) != ( op @ e1 @ e2 ) ) & 426.77/62.84 ( ( op @ e0 @ e2 ) != ( op @ e2 @ e2 ) ) & 426.77/62.84 ( ( op @ e3 @ e1 ) != ( op @ e4 @ e1 ) ) & 426.77/62.84 ( ( op @ e2 @ e1 ) != ( op @ e3 @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e1 ) != ( op @ e4 @ e1 ) ) & 426.77/62.84 ( ( op @ e2 @ e1 ) != ( op @ e1 @ e1 ) ) & 426.77/62.84 ( ( op @ e0 @ e1 ) != ( op @ e2 @ e1 ) ) & 426.77/62.84 ( ( op @ e2 @ e0 ) != ( op @ e4 @ e0 ) ) & 426.77/62.84 ( ( op @ e0 @ e0 ) != ( op @ e4 @ e0 ) ) & 426.77/62.84 ( ( op @ e0 @ e0 ) != ( op @ e3 @ e0 ) ) & 426.77/62.84 ( ( op @ e1 @ e0 ) != ( op @ e0 @ e0 ) ))). 426.77/62.84 thf(zip_derived_cl1, plain, 426.77/62.84 ( (((((op @ e2 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e1 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e3 @ e0) != (op @ e2 @ e0))) & 426.77/62.84 (((op @ e4 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e3 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e4 @ e2) != (op @ e2 @ e2))) & 426.77/62.84 (((op @ e3 @ e2) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e0 @ e4) != (op @ e3 @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e4 @ e4))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e4) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e4))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e1 @ e4))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e2 @ e0))) & 426.77/62.84 (((op @ e2 @ e2) != (op @ e2 @ e0))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e2 @ e4))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e2 @ e4) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e2 @ e2) != (op @ e2 @ e4))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e3 @ e4) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e4 @ e0) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e4 @ e2) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e4 @ e3) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e4 @ e0) != (op @ e4 @ e4))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e4 @ e3) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e4 @ e4) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e4 @ e4) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e4 @ e4) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e3 @ e2) != (op @ e3 @ e4))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e3 @ e4))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e3 @ e0) != (op @ e3 @ e4))) & 426.77/62.84 (((op @ e3 @ e2) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e3 @ e0) != (op @ e3 @ e1))) & 426.77/62.84 (((op @ e2 @ e4) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e2 @ e2) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e2 @ e2) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e4) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e3 @ e4) != (op @ e4 @ e4))) & 426.77/62.84 (((op @ e4 @ e4) != (op @ e2 @ e4))) & 426.77/62.84 (((op @ e2 @ e4) != (op @ e3 @ e4))) & 426.77/62.84 (((op @ e3 @ e4) != (op @ e1 @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e2 @ e4))) & 426.77/62.84 (((op @ e0 @ e4) != (op @ e4 @ e4))) & 426.77/62.84 (((op @ e2 @ e4) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e2 @ e2) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e2 @ e2) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e2 @ e2))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e3 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e0)))))), 426.77/62.84 inference('cnf', [status(esa)], [ax4])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl55, plain, 426.77/62.84 ( (((((op @ e2 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e1 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e3 @ e0) != (op @ e2 @ e0))) & 426.77/62.84 (((op @ e4 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e3 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e4))) & 426.77/62.84 (((op @ e3 @ e2) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e0 @ e4))) & (((op @ e0 @ e4) != (e1))) & 426.77/62.84 (((op @ e1 @ e4) != (e0))) & (((op @ e0 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e4) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e4))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e1 @ e4))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e2 @ e0))) & (((e4) != (op @ e2 @ e0))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e2 @ e3))) & (((op @ e2 @ e0) != (e3))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e2 @ e3))) & (((e3) != (op @ e2 @ e1))) & 426.77/62.84 (((e4) != (e3))) & (((op @ e3 @ e3) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e2))) & (((e1) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e4 @ e0) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e4 @ e2) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e4 @ e3) != (op @ e4 @ e0))) & (((op @ e4 @ e0) != (e0))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e4 @ e3) != (op @ e4 @ e2))) & (((e0) != (op @ e4 @ e3))) & 426.77/62.84 (((e0) != (op @ e4 @ e2))) & (((e0) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e4 @ e3))) & (((op @ e3 @ e2) != (e1))) & 426.77/62.84 (((op @ e3 @ e1) != (e1))) & (((op @ e3 @ e1) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e3 @ e0) != (e1))) & (((op @ e3 @ e2) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e3 @ e0) != (op @ e3 @ e1))) & (((e3) != (op @ e2 @ e3))) & 426.77/62.84 (((e4) != (op @ e2 @ e3))) & (((e4) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e4) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e0 @ e1))) & (((e1) != (e0))) & 426.77/62.84 (((e0) != (e3))) & (((e3) != (e1))) & (((e1) != (op @ e1 @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (e3))) & (((op @ e0 @ e4) != (e0))) & 426.77/62.84 (((e3) != (op @ e0 @ e4))) & (((op @ e1 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e4 @ e3))) & (((e4) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e3 @ e2))) & (((e4) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (e4))) & (((op @ e3 @ e1) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e3 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e0)))))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl1, zip_derived_cl12, zip_derived_cl18, 426.77/62.84 zip_derived_cl17, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl16, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl18, zip_derived_cl17, zip_derived_cl17, 426.77/62.84 zip_derived_cl17, zip_derived_cl17, zip_derived_cl18, 426.77/62.84 zip_derived_cl18, zip_derived_cl18, zip_derived_cl16, 426.77/62.84 zip_derived_cl12, zip_derived_cl12, zip_derived_cl18, 426.77/62.84 zip_derived_cl17, zip_derived_cl17, zip_derived_cl16, 426.77/62.84 zip_derived_cl16, zip_derived_cl18, zip_derived_cl18, 426.77/62.84 zip_derived_cl16, zip_derived_cl17, zip_derived_cl16, 426.77/62.84 zip_derived_cl12, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.84 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.84 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.84 thf(zip_derived_cl56, plain, 426.77/62.84 ( (((((op @ e2 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e1 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e3 @ e0) != (op @ e2 @ e0))) & 426.77/62.84 (((op @ e4 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e3 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e4))) & 426.77/62.84 (((op @ e3 @ e2) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e0 @ e4))) & (((op @ e0 @ e4) != (e1))) & 426.77/62.84 (((op @ e1 @ e4) != (e0))) & (((op @ e0 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e4) != (op @ e0 @ e1))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e4))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e1 @ e4))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e2 @ e0))) & (((e4) != (op @ e2 @ e0))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e2 @ e3))) & (((op @ e2 @ e0) != (e3))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e2 @ e3))) & (((e3) != (op @ e2 @ e1))) & 426.77/62.84 ($true) & (((op @ e3 @ e3) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e3 @ e1) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e2))) & (((e1) != (op @ e3 @ e3))) & 426.77/62.84 (((op @ e4 @ e0) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e4 @ e2) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e4 @ e3) != (op @ e4 @ e0))) & (((op @ e4 @ e0) != (e0))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e4 @ e3) != (op @ e4 @ e2))) & (((e0) != (op @ e4 @ e3))) & 426.77/62.84 (((e0) != (op @ e4 @ e2))) & (((e0) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e4 @ e1) != (op @ e4 @ e3))) & (((op @ e3 @ e2) != (e1))) & 426.77/62.84 (((op @ e3 @ e1) != (e1))) & (((op @ e3 @ e1) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e3 @ e0) != (e1))) & (((op @ e3 @ e2) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e3 @ e0) != (op @ e3 @ e1))) & (((e3) != (op @ e2 @ e3))) & 426.77/62.84 (((e4) != (op @ e2 @ e3))) & (((e4) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e0 @ e3))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e0 @ e2))) & 426.77/62.84 (((op @ e0 @ e4) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e0 @ e1))) & ($true) & (((e0) != (e3))) & 426.77/62.84 ($true) & (((e1) != (op @ e1 @ e4))) & (((op @ e1 @ e4) != (e3))) & 426.77/62.84 (((op @ e0 @ e4) != (e0))) & (((e3) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e4 @ e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e4 @ e3))) & (((e4) != (op @ e3 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e4 @ e2))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e3 @ e2))) & (((e4) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ e0 @ e2) != (e4))) & (((op @ e3 @ e1) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e3 @ e1))) & 426.77/62.84 (((op @ e1 @ e1) != (op @ e4 @ e1))) & 426.77/62.84 (((op @ e2 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ e0 @ e1) != (op @ e2 @ e1))) & 426.77/62.84 (((op @ e2 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ e0 @ e0) != (op @ e3 @ e0))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e0)))))), 426.77/62.84 inference('inner_simplify_reflect', [status(thm)], 426.77/62.84 [zip_derived_cl55, zip_derived_cl45, zip_derived_cl49, 426.77/62.84 zip_derived_cl52])). 426.77/62.84 thf(zip_derived_cl147, plain, ( (((op @ e0 @ e2) != (e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl166, plain, (((op @ e0 @ e2) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl147])). 426.77/62.84 thf(zip_derived_cl146, plain, ( (((e4) != (op @ e1 @ e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl167, plain, (((e4) != (op @ e1 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl146])). 426.77/62.84 thf(zip_derived_cl143, plain, ( (((e4) != (op @ e3 @ e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl170, plain, (((e4) != (op @ e3 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl143])). 426.77/62.84 thf(zip_derived_cl139, plain, ( (((e3) != (op @ e0 @ e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl174, plain, (((e3) != (op @ e0 @ e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl139])). 426.77/62.84 thf(zip_derived_cl138, plain, ( (((op @ e0 @ e4) != (e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl175, plain, (((op @ e0 @ e4) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl138])). 426.77/62.84 thf(zip_derived_cl137, plain, ( (((op @ e1 @ e4) != (e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl176, plain, (((op @ e1 @ e4) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl137])). 426.77/62.84 thf(zip_derived_cl262, plain, 426.77/62.84 ( (((((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e1) = (e1))) | 426.77/62.84 (((e2) = (op @ e1 @ e1))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.84 (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e2))) | ($false) | (((e4) = (op @ e1 @ e4))) | 426.77/62.84 (((op @ e1 @ e4) = (e1))) | (((op @ e1 @ e4) = (e0))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e2))) | (((e4) = (op @ e2 @ e1))) | 426.77/62.84 (((e3) = (op @ e2 @ e1))) | (((op @ e2 @ e1) = (e1))) | 426.77/62.84 (((op @ e2 @ e1) = (e0))))) & 426.77/62.84 ((($false) | ($false) | (((e4) = (e4))) | ($false) | ($false))) & 426.77/62.84 ((($false) | (((e3) = (e3))) | ($false) | ($false) | ($false))) & 426.77/62.84 (((((e1) = (op @ e3 @ e0))) | (((e3) = (op @ e3 @ e0))) | 426.77/62.84 (((op @ e3 @ e0) = (e4))) | (((op @ e3 @ e0) = (e2))) | 426.77/62.84 (((e0) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e3 @ e2))) | (((e1) = (op @ e3 @ e2))) | 426.77/62.84 (((op @ e3 @ e2) = (e2))) | (((e3) = (op @ e3 @ e2))) | ($false))) & 426.77/62.84 (((((op @ e3 @ e3) = (e0))) | (((e2) = (op @ e3 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | (((op @ e3 @ e3) = (e4))) | 426.77/62.84 (((op @ e3 @ e3) = (e1))))) & 426.77/62.84 (((((e0) = (op @ e4 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))) | (((op @ e4 @ e0) = (e3))) | 426.77/62.84 (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e4))) | 426.77/62.84 (((e0) = (op @ e4 @ e2))))) & 426.77/62.84 (((((e0) = (e0))) | ($false) | ($false) | ($false) | ($false))) & 426.77/62.84 (((((op @ e4 @ e3) = (e0))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e3) = (e3))) | (((e4) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e3) = (e1))))) & 426.77/62.84 (((((op @ e4 @ e1) = (e1))) | (((op @ e4 @ e1) = (e4))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((op @ e4 @ e1) = (e2))) | 426.77/62.84 (((op @ e4 @ e1) = (e0))))) & 426.77/62.84 ((($false) | ($false) | ($false) | ($false) | (((e1) = (e1))))) & 426.77/62.84 (((((op @ e3 @ e1) = (e1))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e3 @ e1) = (e4))) | (((op @ e3 @ e1) = (e2))) | 426.77/62.84 (((op @ e3 @ e1) = (e0))))) & 426.77/62.84 (((((e3) = (op @ e2 @ e3))) | (((op @ e2 @ e3) = (e4))) | 426.77/62.84 (((e2) = (op @ e2 @ e3))) | (((op @ e2 @ e3) = (e1))) | 426.77/62.84 (((op @ e2 @ e3) = (e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e0))) | (((e4) = (op @ e2 @ e0))) | 426.77/62.84 (((op @ e2 @ e0) = (e3))) | (((op @ e2 @ e0) = (e2))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e3) = (e4))) | 426.77/62.84 (((e3) = (op @ e1 @ e3))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e3))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | ($false) | (((op @ e1 @ e2) = (e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e2))) | (((op @ e1 @ e2) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e0) = (e0))) | (((e4) = (op @ e1 @ e0))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 ((($false) | (((op @ e0 @ e4) = (e1))) | (((op @ e0 @ e4) = (e2))) | 426.77/62.84 ($false) | (((op @ e0 @ e4) = (e4))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((op @ e0 @ e2) = (e2))) | ($false) | (((op @ e0 @ e2) = (e3))) | 426.77/62.84 (((op @ e0 @ e2) = (e1))) | (((op @ e0 @ e2) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e2) = (op @ e0 @ e1))) | 426.77/62.84 (((op @ e0 @ e1) = (e3))) | (((op @ e0 @ e1) = (e4))) | 426.77/62.84 (((op @ e0 @ e1) = (e1))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e1))) | (((op @ e0 @ e0) = (e2))) | 426.77/62.84 (((e4) = (op @ e0 @ e0))) | (((op @ e0 @ e0) = (e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e0)))))))), 426.77/62.84 inference('inner_simplify_reflect', [status(thm)], 426.77/62.84 [zip_derived_cl261, zip_derived_cl45, zip_derived_cl46, 426.77/62.84 zip_derived_cl47, zip_derived_cl48, zip_derived_cl49, 426.77/62.84 zip_derived_cl50, zip_derived_cl51, zip_derived_cl52, 426.77/62.84 zip_derived_cl53, zip_derived_cl54, zip_derived_cl166, 426.77/62.84 zip_derived_cl167, zip_derived_cl170, zip_derived_cl174, 426.77/62.84 zip_derived_cl175, zip_derived_cl176])). 426.77/62.84 thf(zip_derived_cl136, plain, ( (((e1) != (op @ e1 @ e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl177, plain, (((e1) != (op @ e1 @ e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl136])). 426.77/62.84 thf(zip_derived_cl122, plain, ( (((e4) != (op @ e2 @ e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl189, plain, (((e4) != (op @ e2 @ e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl122])). 426.77/62.84 thf(zip_derived_cl121, plain, ( (((e4) != (op @ e2 @ e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl190, plain, (((e4) != (op @ e2 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl121])). 426.77/62.84 thf(zip_derived_cl120, plain, ( (((e3) != (op @ e2 @ e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl191, plain, (((e3) != (op @ e2 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl120])). 426.77/62.84 thf(zip_derived_cl117, plain, ( (((op @ e3 @ e0) != (e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl194, plain, (((op @ e3 @ e0) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl117])). 426.77/62.84 thf(zip_derived_cl115, plain, ( (((op @ e3 @ e1) != (e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl196, plain, (((op @ e3 @ e1) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl115])). 426.77/62.84 thf(zip_derived_cl114, plain, ( (((op @ e3 @ e2) != (e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl197, plain, (((op @ e3 @ e2) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl114])). 426.77/62.84 thf(zip_derived_cl112, plain, ( (((e0) != (op @ e4 @ e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl199, plain, (((e0) != (op @ e4 @ e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl112])). 426.77/62.84 thf(zip_derived_cl111, plain, ( (((e0) != (op @ e4 @ e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl200, plain, (((e0) != (op @ e4 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl111])). 426.77/62.84 thf(zip_derived_cl348, plain, 426.77/62.84 ( (((((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e1) = (e1))) | 426.77/62.84 (((e2) = (op @ e1 @ e1))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.84 (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e2))) | ($false) | (((e4) = (op @ e1 @ e4))) | 426.77/62.84 ($false) | (((op @ e1 @ e4) = (e0))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e2))) | ($false) | (((e3) = (op @ e2 @ e1))) | 426.77/62.84 (((op @ e2 @ e1) = (e1))) | (((op @ e2 @ e1) = (e0))))) & 426.77/62.84 ((($false) | ($false) | (((e4) = (e4))) | ($false) | ($false))) & 426.77/62.84 ((($false) | (((e3) = (e3))) | ($false) | ($false) | ($false))) & 426.77/62.84 ((($false) | (((e3) = (op @ e3 @ e0))) | (((op @ e3 @ e0) = (e4))) | 426.77/62.84 (((op @ e3 @ e0) = (e2))) | (((e0) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e3 @ e2))) | ($false) | (((op @ e3 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e3 @ e2))) | ($false))) & 426.77/62.84 (((((op @ e3 @ e3) = (e0))) | (((e2) = (op @ e3 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | (((op @ e3 @ e3) = (e4))) | 426.77/62.84 (((op @ e3 @ e3) = (e1))))) & 426.77/62.84 (((((e0) = (op @ e4 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))) | (((op @ e4 @ e0) = (e3))) | 426.77/62.84 (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e4))) | ($false))) & 426.77/62.84 (((((e0) = (e0))) | ($false) | ($false) | ($false) | ($false))) & 426.77/62.84 (((((op @ e4 @ e3) = (e0))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e3) = (e3))) | (((e4) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e3) = (e1))))) & 426.77/62.84 (((((op @ e4 @ e1) = (e1))) | (((op @ e4 @ e1) = (e4))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((op @ e4 @ e1) = (e2))) | ($false))) & 426.77/62.84 ((($false) | ($false) | ($false) | ($false) | (((e1) = (e1))))) & 426.77/62.84 ((($false) | (((op @ e3 @ e1) = (e3))) | (((op @ e3 @ e1) = (e4))) | 426.77/62.84 (((op @ e3 @ e1) = (e2))) | (((op @ e3 @ e1) = (e0))))) & 426.77/62.84 ((($false) | ($false) | (((e2) = (op @ e2 @ e3))) | 426.77/62.84 (((op @ e2 @ e3) = (e1))) | (((op @ e2 @ e3) = (e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e0))) | (((e4) = (op @ e2 @ e0))) | 426.77/62.84 (((op @ e2 @ e0) = (e3))) | (((op @ e2 @ e0) = (e2))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e3) = (e4))) | 426.77/62.84 (((e3) = (op @ e1 @ e3))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e3))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | ($false) | (((op @ e1 @ e2) = (e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e2))) | (((op @ e1 @ e2) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e0) = (e0))) | (((e4) = (op @ e1 @ e0))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 ((($false) | (((op @ e0 @ e4) = (e1))) | (((op @ e0 @ e4) = (e2))) | 426.77/62.84 ($false) | (((op @ e0 @ e4) = (e4))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((op @ e0 @ e2) = (e2))) | ($false) | (((op @ e0 @ e2) = (e3))) | 426.77/62.84 (((op @ e0 @ e2) = (e1))) | (((op @ e0 @ e2) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e2) = (op @ e0 @ e1))) | 426.77/62.84 (((op @ e0 @ e1) = (e3))) | (((op @ e0 @ e1) = (e4))) | 426.77/62.84 (((op @ e0 @ e1) = (e1))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e1))) | (((op @ e0 @ e0) = (e2))) | 426.77/62.84 (((e4) = (op @ e0 @ e0))) | (((op @ e0 @ e0) = (e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e0)))))))), 426.77/62.84 inference('inner_simplify_reflect', [status(thm)], 426.77/62.84 [zip_derived_cl262, zip_derived_cl177, zip_derived_cl189, 426.77/62.84 zip_derived_cl190, zip_derived_cl191, zip_derived_cl194, 426.77/62.84 zip_derived_cl196, zip_derived_cl197, zip_derived_cl199, 426.77/62.84 zip_derived_cl200])). 426.77/62.84 thf(zip_derived_cl110, plain, ( (((e0) != (op @ e4 @ e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl201, plain, (((e0) != (op @ e4 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl110])). 426.77/62.84 thf(zip_derived_cl107, plain, ( (((op @ e4 @ e0) != (e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl204, plain, (((op @ e4 @ e0) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl107])). 426.77/62.84 thf(zip_derived_cl103, plain, ( (((e1) != (op @ e3 @ e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl208, plain, (((e1) != (op @ e3 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl103])). 426.77/62.84 thf(zip_derived_cl98, plain, ( (((e3) != (op @ e2 @ e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl212, plain, (((e3) != (op @ e2 @ e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl98])). 426.77/62.84 thf(zip_derived_cl96, plain, ( (((op @ e2 @ e0) != (e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl214, plain, (((op @ e2 @ e0) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl96])). 426.77/62.84 thf(zip_derived_cl94, plain, ( (((e4) != (op @ e2 @ e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl216, plain, (((e4) != (op @ e2 @ e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl94])). 426.77/62.84 thf(zip_derived_cl82, plain, ( (((op @ e1 @ e4) != (e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl228, plain, (((op @ e1 @ e4) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl82])). 426.77/62.84 thf(zip_derived_cl81, plain, ( (((op @ e0 @ e4) != (e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl229, plain, (((op @ e0 @ e4) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl81])). 426.77/62.84 thf(zip_derived_cl71, plain, ( (((op @ e4 @ e2) != (e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl239, plain, (((op @ e4 @ e2) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl71])). 426.77/62.84 thf(zip_derived_cl556, plain, 426.77/62.84 ( (((((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e1) = (e1))) | 426.77/62.84 (((e2) = (op @ e1 @ e1))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.84 (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e2))) | ($false) | (((e4) = (op @ e1 @ e4))) | 426.77/62.84 ($false) | ($false))) & 426.77/62.84 (((((op @ e2 @ e1) = (e2))) | ($false) | ($false) | 426.77/62.84 (((op @ e2 @ e1) = (e1))) | (((op @ e2 @ e1) = (e0))))) & 426.77/62.84 ((($false) | ($false) | (((e4) = (e4))) | ($false) | ($false))) & 426.77/62.84 ((($false) | (((e3) = (e3))) | ($false) | ($false) | ($false))) & 426.77/62.84 ((($false) | (((e3) = (op @ e3 @ e0))) | (((op @ e3 @ e0) = (e4))) | 426.77/62.84 (((op @ e3 @ e0) = (e2))) | (((e0) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e3 @ e2))) | ($false) | (((op @ e3 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e3 @ e2))) | ($false))) & 426.77/62.84 (((((op @ e3 @ e3) = (e0))) | (((e2) = (op @ e3 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | (((op @ e3 @ e3) = (e4))) | ($false))) & 426.77/62.84 ((($false) | (((op @ e4 @ e0) = (e2))) | (((op @ e4 @ e0) = (e4))) | 426.77/62.84 (((op @ e4 @ e0) = (e3))) | (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e4 @ e2))) | ($false) | ($false))) & 426.77/62.84 (((((e0) = (e0))) | ($false) | ($false) | ($false) | ($false))) & 426.77/62.84 ((($false) | (((e2) = (op @ e4 @ e3))) | (((op @ e4 @ e3) = (e3))) | 426.77/62.84 (((e4) = (op @ e4 @ e3))) | (((op @ e4 @ e3) = (e1))))) & 426.77/62.84 (((((op @ e4 @ e1) = (e1))) | (((op @ e4 @ e1) = (e4))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((op @ e4 @ e1) = (e2))) | ($false))) & 426.77/62.84 ((($false) | ($false) | ($false) | ($false) | (((e1) = (e1))))) & 426.77/62.84 ((($false) | (((op @ e3 @ e1) = (e3))) | (((op @ e3 @ e1) = (e4))) | 426.77/62.84 (((op @ e3 @ e1) = (e2))) | (((op @ e3 @ e1) = (e0))))) & 426.77/62.84 ((($false) | ($false) | (((e2) = (op @ e2 @ e3))) | 426.77/62.84 (((op @ e2 @ e3) = (e1))) | (((op @ e2 @ e3) = (e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e0))) | ($false) | ($false) | 426.77/62.84 (((op @ e2 @ e0) = (e2))) | (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e3) = (e4))) | 426.77/62.84 (((e3) = (op @ e1 @ e3))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e3))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | ($false) | (((op @ e1 @ e2) = (e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e2))) | (((op @ e1 @ e2) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e0) = (e0))) | (((e4) = (op @ e1 @ e0))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 ((($false) | ($false) | (((op @ e0 @ e4) = (e2))) | ($false) | 426.77/62.84 (((op @ e0 @ e4) = (e4))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((op @ e0 @ e2) = (e2))) | ($false) | (((op @ e0 @ e2) = (e3))) | 426.77/62.84 (((op @ e0 @ e2) = (e1))) | (((op @ e0 @ e2) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e2) = (op @ e0 @ e1))) | 426.77/62.84 (((op @ e0 @ e1) = (e3))) | (((op @ e0 @ e1) = (e4))) | 426.77/62.84 (((op @ e0 @ e1) = (e1))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e1))) | (((op @ e0 @ e0) = (e2))) | 426.77/62.84 (((e4) = (op @ e0 @ e0))) | (((op @ e0 @ e0) = (e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e0)))))))), 426.77/62.84 inference('inner_simplify_reflect', [status(thm)], 426.77/62.84 [zip_derived_cl348, zip_derived_cl201, zip_derived_cl204, 426.77/62.84 zip_derived_cl208, zip_derived_cl212, zip_derived_cl214, 426.77/62.84 zip_derived_cl216, zip_derived_cl228, zip_derived_cl229, 426.77/62.84 zip_derived_cl239])). 426.77/62.84 thf(zip_derived_cl557, plain, 426.77/62.84 ( (((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e1) = (e1))) | 426.77/62.84 (((e2) = (op @ e1 @ e1))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.84 (((e4) = (op @ e1 @ e1)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl861, plain, 426.77/62.84 (( (((op @ e1 @ e1) = (e0))) 426.77/62.84 | (((op @ e1 @ e1) = (e1))) 426.77/62.84 | (((e2) = (op @ e1 @ e1))) 426.77/62.84 | (((op @ e1 @ e1) = (e3))) 426.77/62.84 | (((e4) = (op @ e1 @ e1))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl557])). 426.77/62.84 thf(zip_derived_cl862, plain, 426.77/62.84 ((((op @ e1 @ e1) = (e0)) 426.77/62.84 | ((op @ e1 @ e1) = (e1)) 426.77/62.84 | ((e2) = (op @ e1 @ e1)) 426.77/62.84 | ((op @ e1 @ e1) = (e3)) 426.77/62.84 | ((e4) = (op @ e1 @ e1)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl861])). 426.77/62.84 thf(zip_derived_cl866, plain, 426.77/62.84 ((((e2) = (op @ e1 @ e1))) <= ((((e2) = (op @ e1 @ e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl862])). 426.77/62.84 thf(zip_derived_cl2855, plain, 426.77/62.84 ((((e2) = (e1))) <= ((((e2) = (op @ e1 @ e1))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1550, zip_derived_cl866])). 426.77/62.84 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.84 thf('0', plain, (~ (((e2) = (op @ e1 @ e1))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2855, zip_derived_cl48])). 426.77/62.84 thf(zip_derived_cl566, plain, 426.77/62.84 ( (((((e1) = (op @ e4 @ e2))) | (((op @ e4 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e4 @ e2))) | ($false) | ($false)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1095, plain, 426.77/62.84 (( (((e1) = (op @ e4 @ e2))) 426.77/62.84 | (((op @ e4 @ e2) = (e2))) 426.77/62.84 | (((e3) = (op @ e4 @ e2))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl566])). 426.77/62.84 thf(zip_derived_cl1096, plain, 426.77/62.84 ((((e1) = (op @ e4 @ e2)) 426.77/62.84 | ((op @ e4 @ e2) = (e2)) 426.77/62.84 | ((e3) = (op @ e4 @ e2)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1095])). 426.77/62.84 thf(zip_derived_cl1098, plain, 426.77/62.84 ((((e1) = (op @ e4 @ e2))) <= ((((e1) = (op @ e4 @ e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.84 thf(zip_derived_cl1097, plain, 426.77/62.84 ((((op @ e4 @ e2) = (e2))) <= ((((op @ e4 @ e2) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.84 thf(zip_derived_cl1326, plain, 426.77/62.84 ((((e1) = (e2))) 426.77/62.84 <= ((((op @ e4 @ e2) = (e2))) & (((e1) = (op @ e4 @ e2))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1098, zip_derived_cl1097])). 426.77/62.84 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.84 thf('1', plain, (~ (((op @ e4 @ e2) = (e2))) | ~ (((e1) = (op @ e4 @ e2)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1326, zip_derived_cl48])). 426.77/62.84 thf(zip_derived_cl1099, plain, 426.77/62.84 ((((e3) = (op @ e4 @ e2))) <= ((((e3) = (op @ e4 @ e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.84 thf(zip_derived_cl1097, plain, 426.77/62.84 ((((op @ e4 @ e2) = (e2))) <= ((((op @ e4 @ e2) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.84 thf(zip_derived_cl1347, plain, 426.77/62.84 ((((e3) = (e2))) 426.77/62.84 <= ((((op @ e4 @ e2) = (e2))) & (((e3) = (op @ e4 @ e2))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1099, zip_derived_cl1097])). 426.77/62.84 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.84 thf('2', plain, (~ (((e3) = (op @ e4 @ e2))) | ~ (((op @ e4 @ e2) = (e2)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1347, zip_derived_cl53])). 426.77/62.84 thf(zip_derived_cl565, plain, 426.77/62.84 ( ((($false) | (((op @ e4 @ e0) = (e2))) | (((op @ e4 @ e0) = (e4))) | 426.77/62.84 (((op @ e4 @ e0) = (e3))) | (((e1) = (op @ e4 @ e0)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1064, plain, 426.77/62.84 (( (((op @ e4 @ e0) = (e2))) 426.77/62.84 | (((op @ e4 @ e0) = (e4))) 426.77/62.84 | (((op @ e4 @ e0) = (e3))) 426.77/62.84 | (((e1) = (op @ e4 @ e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl565])). 426.77/62.84 thf(zip_derived_cl1065, plain, 426.77/62.84 ((((op @ e4 @ e0) = (e2)) 426.77/62.84 | ((op @ e4 @ e0) = (e4)) 426.77/62.84 | ((op @ e4 @ e0) = (e3)) 426.77/62.84 | ((e1) = (op @ e4 @ e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1064])). 426.77/62.84 thf(zip_derived_cl1069, plain, 426.77/62.84 ((((op @ e4 @ e0) = (e4))) <= ((((op @ e4 @ e0) = (e4))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.84 thf(zip_derived_cl1067, plain, 426.77/62.84 ((((op @ e4 @ e0) = (e2))) <= ((((op @ e4 @ e0) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.84 thf(zip_derived_cl1284, plain, 426.77/62.84 ((((e4) = (e2))) 426.77/62.84 <= ((((op @ e4 @ e0) = (e2))) & (((op @ e4 @ e0) = (e4))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1069, zip_derived_cl1067])). 426.77/62.84 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.84 thf('3', plain, (~ (((op @ e4 @ e0) = (e2))) | ~ (((op @ e4 @ e0) = (e4)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1284, zip_derived_cl51])). 426.77/62.84 thf(ax3, axiom, 426.77/62.84 (( ( ( op @ e0 @ e1 ) = ( e1 ) ) | ( ( e1 ) = ( op @ e0 @ e4 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e0 @ e3 ) ) | ( ( op @ e0 @ e2 ) = ( e1 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e0 @ e0 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e1 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e0 @ e3 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e0 @ e4 ) ) | ( ( op @ e0 @ e2 ) = ( e2 ) ) | 426.77/62.84 ( ( op @ e0 @ e0 ) = ( e2 ) ) ) & 426.77/62.84 ( ( ( e3 ) = ( op @ e0 @ e1 ) ) | ( ( e3 ) = ( op @ e0 @ e3 ) ) | 426.77/62.84 ( ( op @ e0 @ e4 ) = ( e3 ) ) | ( ( op @ e0 @ e2 ) = ( e3 ) ) | 426.77/62.84 ( ( op @ e0 @ e0 ) = ( e3 ) ) ) & 426.77/62.84 ( ( ( e4 ) = ( op @ e0 @ e0 ) ) | ( ( op @ e2 @ e0 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e4 @ e0 ) = ( e4 ) ) | ( ( op @ e3 @ e0 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e1 @ e0 ) = ( e4 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e1 ) = ( e0 ) ) | ( ( op @ e1 @ e4 ) = ( e0 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e1 @ e3 ) ) | ( ( op @ e1 @ e2 ) = ( e0 ) ) | 426.77/62.84 ( ( op @ e1 @ e0 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e0 @ e1 ) ) | ( ( e0 ) = ( op @ e2 @ e1 ) ) | 426.77/62.84 ( ( op @ e4 @ e1 ) = ( e0 ) ) | ( ( op @ e3 @ e1 ) = ( e0 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e1 @ e1 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e2 @ e1 ) ) | ( ( e1 ) = ( op @ e4 @ e1 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e3 @ e1 ) ) | ( ( e1 ) = ( op @ e1 @ e1 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e0 @ e1 ) ) ) & 426.77/62.84 ( ( ( e2 ) = ( op @ e0 @ e1 ) ) | ( ( op @ e1 @ e1 ) = ( e2 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e2 @ e1 ) ) | ( ( e2 ) = ( op @ e3 @ e1 ) ) | 426.77/62.84 ( ( op @ e4 @ e1 ) = ( e2 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e3 ) = ( e3 ) ) | ( ( e3 ) = ( op @ e1 @ e4 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e1 @ e2 ) ) | ( ( op @ e1 @ e1 ) = ( e3 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e1 @ e0 ) ) ) & 426.77/62.84 ( ( ( e4 ) = ( op @ e0 @ e1 ) ) | ( ( e4 ) = ( op @ e2 @ e1 ) ) | 426.77/62.84 ( ( op @ e4 @ e1 ) = ( e4 ) ) | ( ( e4 ) = ( op @ e3 @ e1 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e1 @ e1 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e2 ) = ( e0 ) ) | ( ( op @ e4 @ e2 ) = ( e0 ) ) | 426.77/62.84 ( ( op @ e3 @ e2 ) = ( e0 ) ) | ( ( op @ e2 @ e2 ) = ( e0 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e0 @ e2 ) ) ) & 426.77/62.84 ( ( ( op @ e2 @ e0 ) = ( e1 ) ) | ( ( e1 ) = ( op @ e2 @ e1 ) ) | 426.77/62.84 ( ( op @ e2 @ e2 ) = ( e1 ) ) | ( ( e1 ) = ( op @ e2 @ e3 ) ) | 426.77/62.84 ( ( op @ e2 @ e4 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e2 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e3 @ e2 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e4 @ e2 ) ) | ( ( e2 ) = ( op @ e2 @ e2 ) ) | 426.77/62.84 ( ( op @ e0 @ e2 ) = ( e2 ) ) ) & 426.77/62.84 ( ( ( e3 ) = ( op @ e2 @ e2 ) ) | ( ( op @ e4 @ e2 ) = ( e3 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e3 @ e2 ) ) | ( ( op @ e1 @ e2 ) = ( e3 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e0 @ e2 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e2 ) = ( e4 ) ) | ( ( op @ e1 @ e2 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e2 @ e2 ) = ( e4 ) ) | ( ( op @ e4 @ e2 ) = ( e4 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e3 @ e2 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e3 ) = ( e0 ) ) | ( ( e0 ) = ( op @ e4 @ e3 ) ) | 426.77/62.84 ( ( op @ e3 @ e3 ) = ( e0 ) ) | ( ( e0 ) = ( op @ e2 @ e3 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e0 @ e3 ) ) ) & 426.77/62.84 ( ( ( e3 ) = ( op @ e3 @ e0 ) ) | ( ( op @ e3 @ e1 ) = ( e3 ) ) | 426.77/62.84 ( ( op @ e3 @ e3 ) = ( e3 ) ) | ( ( op @ e3 @ e4 ) = ( e3 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e3 @ e2 ) ) ) & 426.77/62.84 ( ( ( e4 ) = ( op @ e3 @ e0 ) ) | ( ( op @ e3 @ e1 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e3 @ e3 ) = ( e4 ) ) | ( ( op @ e3 @ e4 ) = ( e4 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e3 @ e2 ) ) ) & 426.77/62.84 ( ( ( op @ e4 @ e3 ) = ( e4 ) ) | ( ( e4 ) = ( op @ e3 @ e3 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e2 @ e3 ) ) | ( ( e4 ) = ( op @ e1 @ e3 ) ) | 426.77/62.84 ( ( op @ e0 @ e3 ) = ( e4 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e1 @ e4 ) ) | ( ( op @ e3 @ e4 ) = ( e0 ) ) | 426.77/62.84 ( ( op @ e4 @ e4 ) = ( e0 ) ) | ( ( op @ e2 @ e4 ) = ( e0 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e0 @ e4 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e1 @ e4 ) ) | ( ( op @ e3 @ e4 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e4 @ e4 ) = ( e1 ) ) | ( ( op @ e2 @ e4 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e0 @ e4 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( e2 ) = ( op @ e4 @ e0 ) ) | ( ( e2 ) = ( op @ e4 @ e1 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e4 @ e3 ) ) | ( ( op @ e4 @ e4 ) = ( e2 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e4 @ e2 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e4 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e1 @ e4 ) ) | 426.77/62.84 ( ( op @ e2 @ e4 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e4 @ e4 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e3 @ e4 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e4 ) = ( e3 ) ) | ( ( e3 ) = ( op @ e1 @ e4 ) ) | 426.77/62.84 ( ( op @ e2 @ e4 ) = ( e3 ) ) | ( ( e3 ) = ( op @ e4 @ e4 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e3 @ e4 ) ) ) & 426.77/62.84 ( ( ( e4 ) = ( op @ e4 @ e1 ) ) | ( ( op @ e4 @ e2 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e4 @ e3 ) = ( e4 ) ) | ( ( e4 ) = ( op @ e4 @ e4 ) ) | 426.77/62.84 ( ( op @ e4 @ e0 ) = ( e4 ) ) ) & 426.77/62.84 ( ( ( e4 ) = ( op @ e1 @ e4 ) ) | ( ( e4 ) = ( op @ e2 @ e4 ) ) | 426.77/62.84 ( ( op @ e4 @ e4 ) = ( e4 ) ) | ( ( e4 ) = ( op @ e3 @ e4 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e0 @ e4 ) ) ) & 426.77/62.84 ( ( ( e3 ) = ( op @ e4 @ e0 ) ) | ( ( e3 ) = ( op @ e4 @ e1 ) ) | 426.77/62.84 ( ( op @ e4 @ e2 ) = ( e3 ) ) | ( ( op @ e4 @ e3 ) = ( e3 ) ) | 426.77/62.84 ( ( op @ e4 @ e4 ) = ( e3 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e4 @ e1 ) ) | ( ( e1 ) = ( op @ e4 @ e3 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e4 @ e4 ) ) | ( ( e1 ) = ( op @ e4 @ e2 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e4 @ e0 ) ) ) & 426.77/62.84 ( ( ( op @ e4 @ e1 ) = ( e0 ) ) | ( ( e0 ) = ( op @ e4 @ e3 ) ) | 426.77/62.84 ( ( op @ e4 @ e4 ) = ( e0 ) ) | ( ( e0 ) = ( op @ e4 @ e2 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e4 @ e0 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e3 ) = ( e3 ) ) | ( ( e3 ) = ( op @ e3 @ e3 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e4 @ e3 ) ) | ( ( e3 ) = ( op @ e2 @ e3 ) ) | 426.77/62.84 ( ( op @ e1 @ e3 ) = ( e3 ) ) ) & 426.77/62.84 ( ( ( e2 ) = ( op @ e2 @ e3 ) ) | ( ( e2 ) = ( op @ e4 @ e3 ) ) | 426.77/62.84 ( ( op @ e3 @ e3 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e1 @ e3 ) ) | 426.77/62.84 ( ( op @ e0 @ e3 ) = ( e2 ) ) ) & 426.77/62.84 ( ( ( e2 ) = ( op @ e3 @ e1 ) ) | ( ( e2 ) = ( op @ e3 @ e3 ) ) | 426.77/62.84 ( ( op @ e3 @ e4 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e3 @ e2 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e3 @ e0 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e2 @ e3 ) ) | ( ( op @ e3 @ e3 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e4 @ e3 ) = ( e1 ) ) | ( ( op @ e1 @ e3 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e0 @ e3 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( op @ e3 @ e1 ) = ( e1 ) ) | ( ( op @ e3 @ e2 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e3 @ e4 ) = ( e1 ) ) | ( ( op @ e3 @ e3 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e3 @ e0 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( op @ e3 @ e0 ) = ( e0 ) ) | ( ( e0 ) = ( op @ e3 @ e1 ) ) | 426.77/62.84 ( ( op @ e3 @ e2 ) = ( e0 ) ) | ( ( op @ e3 @ e3 ) = ( e0 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e3 @ e4 ) ) ) & 426.77/62.84 ( ( ( op @ e2 @ e0 ) = ( e4 ) ) | ( ( op @ e2 @ e2 ) = ( e4 ) ) | 426.77/62.84 ( ( op @ e2 @ e4 ) = ( e4 ) ) | ( ( e4 ) = ( op @ e2 @ e3 ) ) | 426.77/62.84 ( ( op @ e2 @ e1 ) = ( e4 ) ) ) & 426.77/62.84 ( ( ( e3 ) = ( op @ e2 @ e0 ) ) | ( ( e3 ) = ( op @ e2 @ e1 ) ) | 426.77/62.84 ( ( op @ e2 @ e4 ) = ( e3 ) ) | ( ( op @ e2 @ e3 ) = ( e3 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e2 @ e2 ) ) ) & 426.77/62.84 ( ( ( op @ e2 @ e0 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e2 @ e3 ) ) | 426.77/62.84 ( ( op @ e2 @ e4 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e2 @ e2 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e2 @ e1 ) ) ) & 426.77/62.84 ( ( ( op @ e3 @ e2 ) = ( e1 ) ) | ( ( e1 ) = ( op @ e4 @ e2 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e2 @ e2 ) ) | ( ( op @ e1 @ e2 ) = ( e1 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e0 @ e2 ) ) ) & 426.77/62.84 ( ( ( op @ e2 @ e1 ) = ( e0 ) ) | ( ( e0 ) = ( op @ e2 @ e2 ) ) | 426.77/62.84 ( ( op @ e2 @ e3 ) = ( e0 ) ) | ( ( e0 ) = ( op @ e2 @ e4 ) ) | 426.77/62.84 ( ( op @ e2 @ e0 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( op @ e1 @ e4 ) = ( e4 ) ) | ( ( op @ e1 @ e3 ) = ( e4 ) ) | 426.77/62.84 ( ( e4 ) = ( op @ e1 @ e2 ) ) | ( ( e4 ) = ( op @ e1 @ e1 ) ) | 426.77/62.84 ( ( op @ e1 @ e0 ) = ( e4 ) ) ) & 426.77/62.84 ( ( ( op @ e2 @ e1 ) = ( e3 ) ) | ( ( op @ e3 @ e1 ) = ( e3 ) ) | 426.77/62.84 ( ( op @ e4 @ e1 ) = ( e3 ) ) | ( ( e3 ) = ( op @ e1 @ e1 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e0 @ e1 ) ) ) & 426.77/62.84 ( ( ( e2 ) = ( op @ e1 @ e0 ) ) | ( ( op @ e1 @ e2 ) = ( e2 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e1 @ e4 ) ) | ( ( op @ e1 @ e3 ) = ( e2 ) ) | 426.77/62.84 ( ( op @ e1 @ e1 ) = ( e2 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e1 @ e1 ) ) | ( ( op @ e1 @ e2 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e1 @ e4 ) = ( e1 ) ) | ( ( op @ e1 @ e3 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e1 @ e0 ) = ( e1 ) ) ) & 426.77/62.84 ( ( ( e4 ) = ( op @ e0 @ e0 ) ) | ( ( e4 ) = ( op @ e0 @ e1 ) ) | 426.77/62.84 ( ( op @ e0 @ e2 ) = ( e4 ) ) | ( ( e4 ) = ( op @ e0 @ e4 ) ) | 426.77/62.84 ( ( op @ e0 @ e3 ) = ( e4 ) ) ) & 426.77/62.84 ( ( ( e3 ) = ( op @ e1 @ e0 ) ) | ( ( op @ e3 @ e0 ) = ( e3 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e4 @ e0 ) ) | ( ( e3 ) = ( op @ e2 @ e0 ) ) | 426.77/62.84 ( ( e3 ) = ( op @ e0 @ e0 ) ) ) & 426.77/62.84 ( ( ( op @ e0 @ e0 ) = ( e2 ) ) | ( ( e2 ) = ( op @ e1 @ e0 ) ) | 426.77/62.84 ( ( e2 ) = ( op @ e2 @ e0 ) ) | ( ( op @ e4 @ e0 ) = ( e2 ) ) | 426.77/62.84 ( ( op @ e3 @ e0 ) = ( e2 ) ) ) & 426.77/62.84 ( ( ( e1 ) = ( op @ e1 @ e0 ) ) | ( ( op @ e2 @ e0 ) = ( e1 ) ) | 426.77/62.84 ( ( op @ e3 @ e0 ) = ( e1 ) ) | ( ( e1 ) = ( op @ e4 @ e0 ) ) | 426.77/62.84 ( ( e1 ) = ( op @ e0 @ e0 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e0 @ e0 ) ) | ( ( e0 ) = ( op @ e1 @ e0 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e4 @ e0 ) ) | ( ( e0 ) = ( op @ e3 @ e0 ) ) | 426.77/62.84 ( ( op @ e2 @ e0 ) = ( e0 ) ) ) & 426.77/62.84 ( ( ( e0 ) = ( op @ e0 @ e0 ) ) | ( ( op @ e0 @ e2 ) = ( e0 ) ) | 426.77/62.84 ( ( e0 ) = ( op @ e0 @ e3 ) ) | ( ( op @ e0 @ e4 ) = ( e0 ) ) | 426.77/62.84 ( ( op @ e0 @ e1 ) = ( e0 ) ) ))). 426.77/62.84 thf(zip_derived_cl3, plain, 426.77/62.84 ( (((((((op @ e0 @ e1) = (e1))) | (((e1) = (op @ e0 @ e4))) | 426.77/62.84 (((e1) = (op @ e0 @ e3))) | (((op @ e0 @ e2) = (e1))) | 426.77/62.84 (((e1) = (op @ e0 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e1) = (e2))) | (((e2) = (op @ e0 @ e3))) | 426.77/62.84 (((e2) = (op @ e0 @ e4))) | (((op @ e0 @ e2) = (e2))) | 426.77/62.84 (((op @ e0 @ e0) = (e2))))) & 426.77/62.84 (((((e3) = (op @ e0 @ e1))) | (((e3) = (op @ e0 @ e3))) | 426.77/62.84 (((op @ e0 @ e4) = (e3))) | (((op @ e0 @ e2) = (e3))) | 426.77/62.84 (((op @ e0 @ e0) = (e3))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e0))) | (((op @ e2 @ e0) = (e4))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))) | (((op @ e3 @ e0) = (e4))) | 426.77/62.84 (((op @ e1 @ e0) = (e4))))) & 426.77/62.84 (((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e4) = (e0))) | 426.77/62.84 (((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e2) = (e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e0) = (op @ e2 @ e1))) | 426.77/62.84 (((op @ e4 @ e1) = (e0))) | (((op @ e3 @ e1) = (e0))) | 426.77/62.84 (((e0) = (op @ e1 @ e1))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e1))) | (((e1) = (op @ e4 @ e1))) | 426.77/62.84 (((e1) = (op @ e3 @ e1))) | (((e1) = (op @ e1 @ e1))) | 426.77/62.84 (((e1) = (op @ e0 @ e1))))) & 426.77/62.84 (((((e2) = (op @ e0 @ e1))) | (((op @ e1 @ e1) = (e2))) | 426.77/62.84 (((e2) = (op @ e2 @ e1))) | (((e2) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e4 @ e1) = (e2))))) & 426.77/62.84 (((((op @ e1 @ e3) = (e3))) | (((e3) = (op @ e1 @ e4))) | 426.77/62.84 (((e3) = (op @ e1 @ e2))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e1))) | (((e4) = (op @ e2 @ e1))) | 426.77/62.84 (((op @ e4 @ e1) = (e4))) | (((e4) = (op @ e3 @ e1))) | 426.77/62.84 (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e0))) | (((op @ e4 @ e2) = (e0))) | 426.77/62.84 (((op @ e3 @ e2) = (e0))) | (((op @ e2 @ e2) = (e0))) | 426.77/62.84 (((e0) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e0) = (e1))) | (((e1) = (op @ e2 @ e1))) | 426.77/62.84 (((op @ e2 @ e2) = (e1))) | (((e1) = (op @ e2 @ e3))) | 426.77/62.84 (((op @ e2 @ e4) = (e1))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | (((e2) = (op @ e3 @ e2))) | 426.77/62.84 (((e2) = (op @ e4 @ e2))) | (((e2) = (op @ e2 @ e2))) | 426.77/62.84 (((op @ e0 @ e2) = (e2))))) & 426.77/62.84 (((((e3) = (op @ e2 @ e2))) | (((op @ e4 @ e2) = (e3))) | 426.77/62.84 (((e3) = (op @ e3 @ e2))) | (((op @ e1 @ e2) = (e3))) | 426.77/62.84 (((e3) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e0 @ e2) = (e4))) | (((op @ e1 @ e2) = (e4))) | 426.77/62.84 (((op @ e2 @ e2) = (e4))) | (((op @ e4 @ e2) = (e4))) | 426.77/62.84 (((e4) = (op @ e3 @ e2))))) & 426.77/62.84 (((((op @ e1 @ e3) = (e0))) | (((e0) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e0))) | (((e0) = (op @ e2 @ e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e3))))) & 426.77/62.84 (((((e3) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | (((op @ e3 @ e4) = (e3))) | 426.77/62.84 (((e3) = (op @ e3 @ e2))))) & 426.77/62.84 (((((e4) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e4))) | 426.77/62.84 (((op @ e3 @ e3) = (e4))) | (((op @ e3 @ e4) = (e4))) | 426.77/62.84 (((e4) = (op @ e3 @ e2))))) & 426.77/62.84 (((((op @ e4 @ e3) = (e4))) | (((e4) = (op @ e3 @ e3))) | 426.77/62.84 (((e4) = (op @ e2 @ e3))) | (((e4) = (op @ e1 @ e3))) | 426.77/62.84 (((op @ e0 @ e3) = (e4))))) & 426.77/62.84 (((((e0) = (op @ e1 @ e4))) | (((op @ e3 @ e4) = (e0))) | 426.77/62.84 (((op @ e4 @ e4) = (e0))) | (((op @ e2 @ e4) = (e0))) | 426.77/62.84 (((e0) = (op @ e0 @ e4))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e4))) | (((op @ e3 @ e4) = (e1))) | 426.77/62.84 (((op @ e4 @ e4) = (e1))) | (((op @ e2 @ e4) = (e1))) | 426.77/62.84 (((op @ e0 @ e4) = (e1))))) & 426.77/62.84 (((((e2) = (op @ e4 @ e0))) | (((e2) = (op @ e4 @ e1))) | 426.77/62.84 (((e2) = (op @ e4 @ e3))) | (((op @ e4 @ e4) = (e2))) | 426.77/62.84 (((e2) = (op @ e4 @ e2))))) & 426.77/62.84 (((((op @ e0 @ e4) = (e2))) | (((e2) = (op @ e1 @ e4))) | 426.77/62.84 (((op @ e2 @ e4) = (e2))) | (((e2) = (op @ e4 @ e4))) | 426.77/62.84 (((e2) = (op @ e3 @ e4))))) & 426.77/62.84 (((((op @ e0 @ e4) = (e3))) | (((e3) = (op @ e1 @ e4))) | 426.77/62.84 (((op @ e2 @ e4) = (e3))) | (((e3) = (op @ e4 @ e4))) | 426.77/62.84 (((e3) = (op @ e3 @ e4))))) & 426.77/62.84 (((((e4) = (op @ e4 @ e1))) | (((op @ e4 @ e2) = (e4))) | 426.77/62.84 (((op @ e4 @ e3) = (e4))) | (((e4) = (op @ e4 @ e4))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))))) & 426.77/62.84 (((((e4) = (op @ e1 @ e4))) | (((e4) = (op @ e2 @ e4))) | 426.77/62.84 (((op @ e4 @ e4) = (e4))) | (((e4) = (op @ e3 @ e4))) | 426.77/62.84 (((e4) = (op @ e0 @ e4))))) & 426.77/62.84 (((((e3) = (op @ e4 @ e0))) | (((e3) = (op @ e4 @ e1))) | 426.77/62.84 (((op @ e4 @ e2) = (e3))) | (((op @ e4 @ e3) = (e3))) | 426.77/62.84 (((op @ e4 @ e4) = (e3))))) & 426.77/62.84 (((((e1) = (op @ e4 @ e1))) | (((e1) = (op @ e4 @ e3))) | 426.77/62.84 (((e1) = (op @ e4 @ e4))) | (((e1) = (op @ e4 @ e2))) | 426.77/62.84 (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 (((((op @ e4 @ e1) = (e0))) | (((e0) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e4 @ e4) = (e0))) | (((e0) = (op @ e4 @ e2))) | 426.77/62.84 (((e0) = (op @ e4 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e3) = (e3))) | (((e3) = (op @ e3 @ e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e3))) | (((e3) = (op @ e2 @ e3))) | 426.77/62.84 (((op @ e1 @ e3) = (e3))))) & 426.77/62.84 (((((e2) = (op @ e2 @ e3))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e2))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((e2) = (op @ e3 @ e1))) | (((e2) = (op @ e3 @ e3))) | 426.77/62.84 (((op @ e3 @ e4) = (e2))) | (((e2) = (op @ e3 @ e2))) | 426.77/62.84 (((e2) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e3))) | (((op @ e3 @ e3) = (e1))) | 426.77/62.84 (((op @ e4 @ e3) = (e1))) | (((op @ e1 @ e3) = (e1))) | 426.77/62.84 (((op @ e0 @ e3) = (e1))))) & 426.77/62.84 (((((op @ e3 @ e1) = (e1))) | (((op @ e3 @ e2) = (e1))) | 426.77/62.84 (((op @ e3 @ e4) = (e1))) | (((op @ e3 @ e3) = (e1))) | 426.77/62.84 (((op @ e3 @ e0) = (e1))))) & 426.77/62.84 (((((op @ e3 @ e0) = (e0))) | (((e0) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e3 @ e2) = (e0))) | (((op @ e3 @ e3) = (e0))) | 426.77/62.84 (((e0) = (op @ e3 @ e4))))) & 426.77/62.84 (((((op @ e2 @ e0) = (e4))) | (((op @ e2 @ e2) = (e4))) | 426.77/62.84 (((op @ e2 @ e4) = (e4))) | (((e4) = (op @ e2 @ e3))) | 426.77/62.84 (((op @ e2 @ e1) = (e4))))) & 426.77/62.84 (((((e3) = (op @ e2 @ e0))) | (((e3) = (op @ e2 @ e1))) | 426.77/62.84 (((op @ e2 @ e4) = (e3))) | (((op @ e2 @ e3) = (e3))) | 426.77/62.84 (((e3) = (op @ e2 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e0) = (e2))) | (((e2) = (op @ e2 @ e3))) | 426.77/62.84 (((op @ e2 @ e4) = (e2))) | (((e2) = (op @ e2 @ e2))) | 426.77/62.84 (((e2) = (op @ e2 @ e1))))) & 426.77/62.84 (((((op @ e3 @ e2) = (e1))) | (((e1) = (op @ e4 @ e2))) | 426.77/62.84 (((e1) = (op @ e2 @ e2))) | (((op @ e1 @ e2) = (e1))) | 426.77/62.84 (((e1) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e0))) | (((e0) = (op @ e2 @ e2))) | 426.77/62.84 (((op @ e2 @ e3) = (e0))) | (((e0) = (op @ e2 @ e4))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e4))) | (((op @ e1 @ e3) = (e4))) | 426.77/62.84 (((e4) = (op @ e1 @ e2))) | (((e4) = (op @ e1 @ e1))) | 426.77/62.84 (((op @ e1 @ e0) = (e4))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e3))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((e3) = (op @ e1 @ e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e1))))) & 426.77/62.84 (((((e2) = (op @ e1 @ e0))) | (((op @ e1 @ e2) = (e2))) | 426.77/62.84 (((e2) = (op @ e1 @ e4))) | (((op @ e1 @ e3) = (e2))) | 426.77/62.84 (((op @ e1 @ e1) = (e2))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e1))) | (((op @ e1 @ e2) = (e1))) | 426.77/62.84 (((op @ e1 @ e4) = (e1))) | (((op @ e1 @ e3) = (e1))) | 426.77/62.84 (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e0))) | (((e4) = (op @ e0 @ e1))) | 426.77/62.84 (((op @ e0 @ e2) = (e4))) | (((e4) = (op @ e0 @ e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e4))))) & 426.77/62.84 (((((e3) = (op @ e1 @ e0))) | (((op @ e3 @ e0) = (e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e0))) | (((e3) = (op @ e2 @ e0))) | 426.77/62.84 (((e3) = (op @ e0 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e2))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((e2) = (op @ e2 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.84 (((op @ e3 @ e0) = (e2))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e0))) | (((op @ e2 @ e0) = (e1))) | 426.77/62.84 (((op @ e3 @ e0) = (e1))) | (((e1) = (op @ e4 @ e0))) | 426.77/62.84 (((e1) = (op @ e0 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e0))) | (((e0) = (op @ e1 @ e0))) | 426.77/62.84 (((e0) = (op @ e4 @ e0))) | (((e0) = (op @ e3 @ e0))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e0))) | (((op @ e0 @ e2) = (e0))) | 426.77/62.84 (((e0) = (op @ e0 @ e3))) | (((op @ e0 @ e4) = (e0))) | 426.77/62.84 (((op @ e0 @ e1) = (e0)))))))), 426.77/62.84 inference('cnf', [status(esa)], [ax3])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl292, plain, 426.77/62.84 ( (((((((op @ e0 @ e1) = (e1))) | (((e1) = (op @ e0 @ e4))) | 426.77/62.84 (((e1) = (op @ e0 @ e3))) | (((op @ e0 @ e2) = (e1))) | 426.77/62.84 (((e1) = (op @ e0 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e1) = (e2))) | (((e2) = (op @ e0 @ e3))) | 426.77/62.84 (((e2) = (op @ e0 @ e4))) | (((op @ e0 @ e2) = (e2))) | 426.77/62.84 (((op @ e0 @ e0) = (e2))))) & 426.77/62.84 (((((e3) = (op @ e0 @ e1))) | (((e3) = (op @ e0 @ e3))) | 426.77/62.84 (((op @ e0 @ e4) = (e3))) | (((op @ e0 @ e2) = (e3))) | 426.77/62.84 (((op @ e0 @ e0) = (e3))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e0))) | (((op @ e2 @ e0) = (e4))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))) | (((op @ e3 @ e0) = (e4))) | 426.77/62.84 (((op @ e1 @ e0) = (e4))))) & 426.77/62.84 (((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e4) = (e0))) | 426.77/62.84 (((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e2) = (e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e0) = (op @ e2 @ e1))) | 426.77/62.84 (((op @ e4 @ e1) = (e0))) | (((op @ e3 @ e1) = (e0))) | 426.77/62.84 (((e0) = (op @ e1 @ e1))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e1))) | (((e1) = (op @ e4 @ e1))) | 426.77/62.84 (((e1) = (op @ e3 @ e1))) | (((e1) = (op @ e1 @ e1))) | 426.77/62.84 (((e1) = (op @ e0 @ e1))))) & 426.77/62.84 (((((e2) = (op @ e0 @ e1))) | (((op @ e1 @ e1) = (e2))) | 426.77/62.84 (((e2) = (op @ e2 @ e1))) | (((e2) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e4 @ e1) = (e2))))) & 426.77/62.84 (((((op @ e1 @ e3) = (e3))) | (((e3) = (op @ e1 @ e4))) | 426.77/62.84 (((e3) = (op @ e1 @ e2))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e1))) | (((e4) = (op @ e2 @ e1))) | 426.77/62.84 (((op @ e4 @ e1) = (e4))) | (((e4) = (op @ e3 @ e1))) | 426.77/62.84 (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e0))) | (((op @ e4 @ e2) = (e0))) | 426.77/62.84 (((op @ e3 @ e2) = (e0))) | (((e4) = (e0))) | 426.77/62.84 (((e0) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e0) = (e1))) | (((e1) = (op @ e2 @ e1))) | 426.77/62.84 (((e4) = (e1))) | (((e1) = (op @ e2 @ e3))) | (((e3) = (e1))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | (((e2) = (op @ e3 @ e2))) | 426.77/62.84 (((e2) = (op @ e4 @ e2))) | (((e2) = (e4))) | 426.77/62.84 (((op @ e0 @ e2) = (e2))))) & 426.77/62.84 (((((e3) = (e4))) | (((op @ e4 @ e2) = (e3))) | 426.77/62.84 (((e3) = (op @ e3 @ e2))) | (((op @ e1 @ e2) = (e3))) | 426.77/62.84 (((e3) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e0 @ e2) = (e4))) | (((op @ e1 @ e2) = (e4))) | 426.77/62.84 (((e4) = (e4))) | (((op @ e4 @ e2) = (e4))) | 426.77/62.84 (((e4) = (op @ e3 @ e2))))) & 426.77/62.84 (((((op @ e1 @ e3) = (e0))) | (((e0) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e0))) | (((e0) = (op @ e2 @ e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e3))))) & 426.77/62.84 (((((e3) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | (((e1) = (e3))) | 426.77/62.84 (((e3) = (op @ e3 @ e2))))) & 426.77/62.84 (((((e4) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e4))) | 426.77/62.84 (((op @ e3 @ e3) = (e4))) | (((e1) = (e4))) | 426.77/62.84 (((e4) = (op @ e3 @ e2))))) & 426.77/62.84 (((((op @ e4 @ e3) = (e4))) | (((e4) = (op @ e3 @ e3))) | 426.77/62.84 (((e4) = (op @ e2 @ e3))) | (((e4) = (op @ e1 @ e3))) | 426.77/62.84 (((op @ e0 @ e3) = (e4))))) & 426.77/62.84 (((((e0) = (op @ e1 @ e4))) | (((e1) = (e0))) | (((e0) = (e0))) | 426.77/62.84 (((e3) = (e0))) | (((e0) = (op @ e0 @ e4))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e4))) | (((e1) = (e1))) | (((e0) = (e1))) | 426.77/62.84 (((e3) = (e1))) | (((op @ e0 @ e4) = (e1))))) & 426.77/62.84 (((((e2) = (op @ e4 @ e0))) | (((e2) = (op @ e4 @ e1))) | 426.77/62.84 (((e2) = (op @ e4 @ e3))) | (((e0) = (e2))) | 426.77/62.84 (((e2) = (op @ e4 @ e2))))) & 426.77/62.84 (((((op @ e0 @ e4) = (e2))) | (((e2) = (op @ e1 @ e4))) | 426.77/62.84 (((e3) = (e2))) | (((e2) = (e0))) | (((e2) = (e1))))) & 426.77/62.84 (((((op @ e0 @ e4) = (e3))) | (((e3) = (op @ e1 @ e4))) | 426.77/62.84 (((e3) = (e3))) | (((e3) = (e0))) | (((e3) = (e1))))) & 426.77/62.84 (((((e4) = (op @ e4 @ e1))) | (((op @ e4 @ e2) = (e4))) | 426.77/62.84 (((op @ e4 @ e3) = (e4))) | (((e4) = (e0))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))))) & 426.77/62.84 (((((e4) = (op @ e1 @ e4))) | (((e4) = (e3))) | (((e0) = (e4))) | 426.77/62.84 (((e4) = (e1))) | (((e4) = (op @ e0 @ e4))))) & 426.77/62.84 (((((e3) = (op @ e4 @ e0))) | (((e3) = (op @ e4 @ e1))) | 426.77/62.84 (((op @ e4 @ e2) = (e3))) | (((op @ e4 @ e3) = (e3))) | 426.77/62.84 (((e0) = (e3))))) & 426.77/62.84 (((((e1) = (op @ e4 @ e1))) | (((e1) = (op @ e4 @ e3))) | 426.77/62.84 (((e1) = (e0))) | (((e1) = (op @ e4 @ e2))) | 426.77/62.84 (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 (((((op @ e4 @ e1) = (e0))) | (((e0) = (op @ e4 @ e3))) | 426.77/62.84 (((e0) = (e0))) | (((e0) = (op @ e4 @ e2))) | 426.77/62.84 (((e0) = (op @ e4 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e3) = (e3))) | (((e3) = (op @ e3 @ e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e3))) | (((e3) = (op @ e2 @ e3))) | 426.77/62.84 (((op @ e1 @ e3) = (e3))))) & 426.77/62.84 (((((e2) = (op @ e2 @ e3))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e2))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((e2) = (op @ e3 @ e1))) | (((e2) = (op @ e3 @ e3))) | 426.77/62.84 (((e1) = (e2))) | (((e2) = (op @ e3 @ e2))) | 426.77/62.84 (((e2) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e3))) | (((op @ e3 @ e3) = (e1))) | 426.77/62.84 (((op @ e4 @ e3) = (e1))) | (((op @ e1 @ e3) = (e1))) | 426.77/62.84 (((op @ e0 @ e3) = (e1))))) & 426.77/62.84 (((((op @ e3 @ e1) = (e1))) | (((op @ e3 @ e2) = (e1))) | 426.77/62.84 (((e1) = (e1))) | (((op @ e3 @ e3) = (e1))) | 426.77/62.84 (((op @ e3 @ e0) = (e1))))) & 426.77/62.84 (((((op @ e3 @ e0) = (e0))) | (((e0) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e3 @ e2) = (e0))) | (((op @ e3 @ e3) = (e0))) | 426.77/62.84 (((e0) = (e1))))) & 426.77/62.84 (((((op @ e2 @ e0) = (e4))) | (((e4) = (e4))) | (((e3) = (e4))) | 426.77/62.84 (((e4) = (op @ e2 @ e3))) | (((op @ e2 @ e1) = (e4))))) & 426.77/62.84 (((((e3) = (op @ e2 @ e0))) | (((e3) = (op @ e2 @ e1))) | 426.77/62.84 (((e3) = (e3))) | (((op @ e2 @ e3) = (e3))) | (((e3) = (e4))))) & 426.77/62.84 (((((op @ e2 @ e0) = (e2))) | (((e2) = (op @ e2 @ e3))) | 426.77/62.84 (((e3) = (e2))) | (((e2) = (e4))) | (((e2) = (op @ e2 @ e1))))) & 426.77/62.84 (((((op @ e3 @ e2) = (e1))) | (((e1) = (op @ e4 @ e2))) | 426.77/62.84 (((e1) = (e4))) | (((op @ e1 @ e2) = (e1))) | 426.77/62.84 (((e1) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e0))) | (((e0) = (e4))) | 426.77/62.84 (((op @ e2 @ e3) = (e0))) | (((e0) = (e3))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e4))) | (((op @ e1 @ e3) = (e4))) | 426.77/62.84 (((e4) = (op @ e1 @ e2))) | (((e4) = (op @ e1 @ e1))) | 426.77/62.84 (((op @ e1 @ e0) = (e4))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e3))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((e3) = (op @ e1 @ e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e1))))) & 426.77/62.84 (((((e2) = (op @ e1 @ e0))) | (((op @ e1 @ e2) = (e2))) | 426.77/62.84 (((e2) = (op @ e1 @ e4))) | (((op @ e1 @ e3) = (e2))) | 426.77/62.84 (((op @ e1 @ e1) = (e2))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e1))) | (((op @ e1 @ e2) = (e1))) | 426.77/62.84 (((op @ e1 @ e4) = (e1))) | (((op @ e1 @ e3) = (e1))) | 426.77/62.84 (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e0))) | (((e4) = (op @ e0 @ e1))) | 426.77/62.84 (((op @ e0 @ e2) = (e4))) | (((e4) = (op @ e0 @ e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e4))))) & 426.77/62.84 (((((e3) = (op @ e1 @ e0))) | (((op @ e3 @ e0) = (e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e0))) | (((e3) = (op @ e2 @ e0))) | 426.77/62.84 (((e3) = (op @ e0 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e2))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((e2) = (op @ e2 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.84 (((op @ e3 @ e0) = (e2))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e0))) | (((op @ e2 @ e0) = (e1))) | 426.77/62.84 (((op @ e3 @ e0) = (e1))) | (((e1) = (op @ e4 @ e0))) | 426.77/62.84 (((e1) = (op @ e0 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e0))) | (((e0) = (op @ e1 @ e0))) | 426.77/62.84 (((e0) = (op @ e4 @ e0))) | (((e0) = (op @ e3 @ e0))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e0))) | (((op @ e0 @ e2) = (e0))) | 426.77/62.84 (((e0) = (op @ e0 @ e3))) | (((op @ e0 @ e4) = (e0))) | 426.77/62.84 (((op @ e0 @ e1) = (e0)))))))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl3, zip_derived_cl12, zip_derived_cl12, 426.77/62.84 zip_derived_cl16, zip_derived_cl12, zip_derived_cl12, 426.77/62.84 zip_derived_cl12, zip_derived_cl18, zip_derived_cl18, 426.77/62.84 zip_derived_cl18, zip_derived_cl17, zip_derived_cl16, 426.77/62.84 zip_derived_cl18, zip_derived_cl17, zip_derived_cl16, 426.77/62.84 zip_derived_cl17, zip_derived_cl16, zip_derived_cl17, 426.77/62.84 zip_derived_cl18, zip_derived_cl16, zip_derived_cl17, 426.77/62.84 zip_derived_cl18, zip_derived_cl17, zip_derived_cl16, 426.77/62.84 zip_derived_cl17, zip_derived_cl18, zip_derived_cl17, 426.77/62.84 zip_derived_cl17, zip_derived_cl17, zip_derived_cl18, 426.77/62.84 zip_derived_cl18, zip_derived_cl18, zip_derived_cl12, 426.77/62.84 zip_derived_cl16, zip_derived_cl16, zip_derived_cl12, 426.77/62.84 zip_derived_cl16, zip_derived_cl12, zip_derived_cl12, 426.77/62.84 zip_derived_cl12, zip_derived_cl16])). 426.77/62.84 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.84 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.84 thf(zip_derived_cl47, plain, (((e4) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 426.77/62.84 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.84 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.84 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.84 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.84 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.84 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.84 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.84 thf(zip_derived_cl166, plain, (((op @ e0 @ e2) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl147])). 426.77/62.84 thf(zip_derived_cl167, plain, (((e4) != (op @ e1 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl146])). 426.77/62.84 thf(zip_derived_cl170, plain, (((e4) != (op @ e3 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl143])). 426.77/62.84 thf(zip_derived_cl174, plain, (((e3) != (op @ e0 @ e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl139])). 426.77/62.84 thf(zip_derived_cl175, plain, (((op @ e0 @ e4) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl138])). 426.77/62.84 thf(zip_derived_cl176, plain, (((op @ e1 @ e4) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl137])). 426.77/62.84 thf(zip_derived_cl177, plain, (((e1) != (op @ e1 @ e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl136])). 426.77/62.84 thf(zip_derived_cl189, plain, (((e4) != (op @ e2 @ e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl122])). 426.77/62.84 thf(zip_derived_cl190, plain, (((e4) != (op @ e2 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl121])). 426.77/62.84 thf(zip_derived_cl191, plain, (((e3) != (op @ e2 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl120])). 426.77/62.84 thf(zip_derived_cl194, plain, (((op @ e3 @ e0) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl117])). 426.77/62.84 thf(zip_derived_cl196, plain, (((op @ e3 @ e1) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl115])). 426.77/62.84 thf(zip_derived_cl197, plain, (((op @ e3 @ e2) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl114])). 426.77/62.84 thf(zip_derived_cl199, plain, (((e0) != (op @ e4 @ e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl112])). 426.77/62.84 thf(zip_derived_cl200, plain, (((e0) != (op @ e4 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl111])). 426.77/62.84 thf(zip_derived_cl293, plain, 426.77/62.84 ( (((((((op @ e0 @ e1) = (e1))) | (((e1) = (op @ e0 @ e4))) | 426.77/62.84 (((e1) = (op @ e0 @ e3))) | (((op @ e0 @ e2) = (e1))) | 426.77/62.84 (((e1) = (op @ e0 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e1) = (e2))) | (((e2) = (op @ e0 @ e3))) | 426.77/62.84 (((e2) = (op @ e0 @ e4))) | (((op @ e0 @ e2) = (e2))) | 426.77/62.84 (((op @ e0 @ e0) = (e2))))) & 426.77/62.84 (((((e3) = (op @ e0 @ e1))) | (((e3) = (op @ e0 @ e3))) | ($false) | 426.77/62.84 (((op @ e0 @ e2) = (e3))) | (((op @ e0 @ e0) = (e3))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e0))) | (((op @ e2 @ e0) = (e4))) | 426.77/62.84 (((op @ e4 @ e0) = (e4))) | (((op @ e3 @ e0) = (e4))) | 426.77/62.84 (((op @ e1 @ e0) = (e4))))) & 426.77/62.84 (((((op @ e1 @ e1) = (e0))) | (((op @ e1 @ e4) = (e0))) | 426.77/62.84 (((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e2) = (e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e0) = (op @ e2 @ e1))) | ($false) | 426.77/62.84 (((op @ e3 @ e1) = (e0))) | (((e0) = (op @ e1 @ e1))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e1))) | (((e1) = (op @ e4 @ e1))) | ($false) | 426.77/62.84 (((e1) = (op @ e1 @ e1))) | (((e1) = (op @ e0 @ e1))))) & 426.77/62.84 (((((e2) = (op @ e0 @ e1))) | (((op @ e1 @ e1) = (e2))) | 426.77/62.84 (((e2) = (op @ e2 @ e1))) | (((e2) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e4 @ e1) = (e2))))) & 426.77/62.84 (((((op @ e1 @ e3) = (e3))) | ($false) | (((e3) = (op @ e1 @ e2))) | 426.77/62.84 (((op @ e1 @ e1) = (e3))) | (((e3) = (op @ e1 @ e0))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e1))) | ($false) | (((op @ e4 @ e1) = (e4))) | 426.77/62.84 (((e4) = (op @ e3 @ e1))) | (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e0))) | ($false) | (((op @ e3 @ e2) = (e0))) | 426.77/62.84 ($false) | (((e0) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e0) = (e1))) | (((e1) = (op @ e2 @ e1))) | ($false) | 426.77/62.84 (((e1) = (op @ e2 @ e3))) | ($false))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | (((e2) = (op @ e3 @ e2))) | 426.77/62.84 (((e2) = (op @ e4 @ e2))) | ($false) | (((op @ e0 @ e2) = (e2))))) & 426.77/62.84 ((($false) | (((op @ e4 @ e2) = (e3))) | (((e3) = (op @ e3 @ e2))) | 426.77/62.84 (((op @ e1 @ e2) = (e3))) | (((e3) = (op @ e0 @ e2))))) & 426.77/62.84 ((($false) | ($false) | (((e4) = (e4))) | 426.77/62.84 (((op @ e4 @ e2) = (e4))) | ($false))) & 426.77/62.84 (((((op @ e1 @ e3) = (e0))) | (((e0) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e0))) | (((e0) = (op @ e2 @ e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e3))))) & 426.77/62.84 (((((e3) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | ($false) | (((e3) = (op @ e3 @ e2))))) & 426.77/62.84 (((((e4) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e4))) | 426.77/62.84 (((op @ e3 @ e3) = (e4))) | ($false) | ($false))) & 426.77/62.84 (((((op @ e4 @ e3) = (e4))) | (((e4) = (op @ e3 @ e3))) | ($false) | 426.77/62.84 (((e4) = (op @ e1 @ e3))) | (((op @ e0 @ e3) = (e4))))) & 426.77/62.84 (((((e0) = (op @ e1 @ e4))) | ($false) | (((e0) = (e0))) | 426.77/62.84 ($false) | ($false))) & 426.77/62.84 ((($false) | (((e1) = (e1))) | ($false) | ($false) | 426.77/62.84 (((op @ e0 @ e4) = (e1))))) & 426.77/62.84 (((((e2) = (op @ e4 @ e0))) | (((e2) = (op @ e4 @ e1))) | 426.77/62.84 (((e2) = (op @ e4 @ e3))) | ($false) | (((e2) = (op @ e4 @ e2))))) & 426.77/62.84 (((((op @ e0 @ e4) = (e2))) | (((e2) = (op @ e1 @ e4))) | ($false) | 426.77/62.84 ($false) | ($false))) & 426.77/62.84 ((($false) | ($false) | (((e3) = (e3))) | ($false) | ($false))) & 426.77/62.84 (((((e4) = (op @ e4 @ e1))) | (((op @ e4 @ e2) = (e4))) | 426.77/62.84 (((op @ e4 @ e3) = (e4))) | ($false) | (((op @ e4 @ e0) = (e4))))) & 426.77/62.84 (((((e4) = (op @ e1 @ e4))) | ($false) | ($false) | ($false) | 426.77/62.84 (((e4) = (op @ e0 @ e4))))) & 426.77/62.84 (((((e3) = (op @ e4 @ e0))) | (((e3) = (op @ e4 @ e1))) | 426.77/62.84 (((op @ e4 @ e2) = (e3))) | (((op @ e4 @ e3) = (e3))) | ($false))) & 426.77/62.84 (((((e1) = (op @ e4 @ e1))) | (((e1) = (op @ e4 @ e3))) | ($false) | 426.77/62.84 (((e1) = (op @ e4 @ e2))) | (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 ((($false) | (((e0) = (op @ e4 @ e3))) | (((e0) = (e0))) | 426.77/62.84 ($false) | (((e0) = (op @ e4 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e3) = (e3))) | (((e3) = (op @ e3 @ e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e3))) | ($false) | (((op @ e1 @ e3) = (e3))))) & 426.77/62.84 (((((e2) = (op @ e2 @ e3))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e2))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((e2) = (op @ e3 @ e1))) | (((e2) = (op @ e3 @ e3))) | ($false) | 426.77/62.84 (((e2) = (op @ e3 @ e2))) | (((e2) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e3))) | (((op @ e3 @ e3) = (e1))) | 426.77/62.84 (((op @ e4 @ e3) = (e1))) | (((op @ e1 @ e3) = (e1))) | 426.77/62.84 (((op @ e0 @ e3) = (e1))))) & 426.77/62.84 ((($false) | ($false) | (((e1) = (e1))) | 426.77/62.84 (((op @ e3 @ e3) = (e1))) | ($false))) & 426.77/62.84 (((((op @ e3 @ e0) = (e0))) | (((e0) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e3 @ e2) = (e0))) | (((op @ e3 @ e3) = (e0))) | ($false))) & 426.77/62.84 (((((op @ e2 @ e0) = (e4))) | (((e4) = (e4))) | ($false) | 426.77/62.84 ($false) | ($false))) & 426.77/62.84 (((((e3) = (op @ e2 @ e0))) | (((e3) = (op @ e2 @ e1))) | 426.77/62.84 (((e3) = (e3))) | ($false) | ($false))) & 426.77/62.84 (((((op @ e2 @ e0) = (e2))) | (((e2) = (op @ e2 @ e3))) | ($false) | 426.77/62.84 ($false) | (((e2) = (op @ e2 @ e1))))) & 426.77/62.84 ((($false) | (((e1) = (op @ e4 @ e2))) | ($false) | 426.77/62.84 (((op @ e1 @ e2) = (e1))) | (((e1) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e0))) | ($false) | (((op @ e2 @ e3) = (e0))) | 426.77/62.84 ($false) | (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e4))) | (((op @ e1 @ e3) = (e4))) | ($false) | 426.77/62.84 (((e4) = (op @ e1 @ e1))) | (((op @ e1 @ e0) = (e4))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e3))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((e3) = (op @ e1 @ e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e1))))) & 426.77/62.84 (((((e2) = (op @ e1 @ e0))) | (((op @ e1 @ e2) = (e2))) | 426.77/62.84 (((e2) = (op @ e1 @ e4))) | (((op @ e1 @ e3) = (e2))) | 426.77/62.84 (((op @ e1 @ e1) = (e2))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e1))) | (((op @ e1 @ e2) = (e1))) | ($false) | 426.77/62.84 (((op @ e1 @ e3) = (e1))) | (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e0))) | (((e4) = (op @ e0 @ e1))) | ($false) | 426.77/62.84 (((e4) = (op @ e0 @ e4))) | (((op @ e0 @ e3) = (e4))))) & 426.77/62.84 (((((e3) = (op @ e1 @ e0))) | (((op @ e3 @ e0) = (e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e0))) | (((e3) = (op @ e2 @ e0))) | 426.77/62.84 (((e3) = (op @ e0 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e2))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((e2) = (op @ e2 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.84 (((op @ e3 @ e0) = (e2))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e0))) | (((op @ e2 @ e0) = (e1))) | ($false) | 426.77/62.84 (((e1) = (op @ e4 @ e0))) | (((e1) = (op @ e0 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e0))) | (((e0) = (op @ e1 @ e0))) | 426.77/62.84 (((e0) = (op @ e4 @ e0))) | (((e0) = (op @ e3 @ e0))) | 426.77/62.84 (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e0))) | (((op @ e0 @ e2) = (e0))) | 426.77/62.84 (((e0) = (op @ e0 @ e3))) | ($false) | (((op @ e0 @ e1) = (e0)))))))), 426.77/62.84 inference('inner_simplify_reflect', [status(thm)], 426.77/62.84 [zip_derived_cl292, zip_derived_cl45, zip_derived_cl46, 426.77/62.84 zip_derived_cl47, zip_derived_cl48, zip_derived_cl49, 426.77/62.84 zip_derived_cl50, zip_derived_cl51, zip_derived_cl52, 426.77/62.84 zip_derived_cl53, zip_derived_cl54, zip_derived_cl166, 426.77/62.84 zip_derived_cl167, zip_derived_cl170, zip_derived_cl174, 426.77/62.84 zip_derived_cl175, zip_derived_cl176, zip_derived_cl177, 426.77/62.84 zip_derived_cl189, zip_derived_cl190, zip_derived_cl191, 426.77/62.84 zip_derived_cl194, zip_derived_cl196, zip_derived_cl197, 426.77/62.84 zip_derived_cl199, zip_derived_cl200])). 426.77/62.84 thf(zip_derived_cl201, plain, (((e0) != (op @ e4 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl110])). 426.77/62.84 thf(zip_derived_cl204, plain, (((op @ e4 @ e0) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl107])). 426.77/62.84 thf(zip_derived_cl208, plain, (((e1) != (op @ e3 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl103])). 426.77/62.84 thf(zip_derived_cl212, plain, (((e3) != (op @ e2 @ e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl98])). 426.77/62.84 thf(zip_derived_cl214, plain, (((op @ e2 @ e0) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl96])). 426.77/62.84 thf(zip_derived_cl216, plain, (((e4) != (op @ e2 @ e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl94])). 426.77/62.84 thf(zip_derived_cl228, plain, (((op @ e1 @ e4) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl82])). 426.77/62.84 thf(zip_derived_cl229, plain, (((op @ e0 @ e4) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl81])). 426.77/62.84 thf(zip_derived_cl239, plain, (((op @ e4 @ e2) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl71])). 426.77/62.84 thf(zip_derived_cl387, plain, 426.77/62.84 ( (((((((op @ e0 @ e1) = (e1))) | ($false) | (((e1) = (op @ e0 @ e3))) | 426.77/62.84 (((op @ e0 @ e2) = (e1))) | (((e1) = (op @ e0 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e1) = (e2))) | (((e2) = (op @ e0 @ e3))) | 426.77/62.84 (((e2) = (op @ e0 @ e4))) | (((op @ e0 @ e2) = (e2))) | 426.77/62.84 (((op @ e0 @ e0) = (e2))))) & 426.77/62.84 (((((e3) = (op @ e0 @ e1))) | (((e3) = (op @ e0 @ e3))) | ($false) | 426.77/62.84 (((op @ e0 @ e2) = (e3))) | (((op @ e0 @ e0) = (e3))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e0))) | ($false) | (((op @ e4 @ e0) = (e4))) | 426.77/62.84 (((op @ e3 @ e0) = (e4))) | (((op @ e1 @ e0) = (e4))))) & 426.77/62.84 (((((op @ e1 @ e1) = (e0))) | ($false) | (((e0) = (op @ e1 @ e3))) | 426.77/62.84 (((op @ e1 @ e2) = (e0))) | (((op @ e1 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e1))) | (((e0) = (op @ e2 @ e1))) | ($false) | 426.77/62.84 (((op @ e3 @ e1) = (e0))) | (((e0) = (op @ e1 @ e1))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e1))) | (((e1) = (op @ e4 @ e1))) | ($false) | 426.77/62.84 (((e1) = (op @ e1 @ e1))) | (((e1) = (op @ e0 @ e1))))) & 426.77/62.84 (((((e2) = (op @ e0 @ e1))) | (((op @ e1 @ e1) = (e2))) | 426.77/62.84 (((e2) = (op @ e2 @ e1))) | (((e2) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e4 @ e1) = (e2))))) & 426.77/62.84 (((((op @ e1 @ e3) = (e3))) | ($false) | (((e3) = (op @ e1 @ e2))) | 426.77/62.84 (((op @ e1 @ e1) = (e3))) | (((e3) = (op @ e1 @ e0))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e1))) | ($false) | (((op @ e4 @ e1) = (e4))) | 426.77/62.84 (((e4) = (op @ e3 @ e1))) | (((e4) = (op @ e1 @ e1))))) & 426.77/62.84 (((((op @ e1 @ e2) = (e0))) | ($false) | (((op @ e3 @ e2) = (e0))) | 426.77/62.84 ($false) | (((e0) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e0) = (e1))) | (((e1) = (op @ e2 @ e1))) | ($false) | 426.77/62.84 (((e1) = (op @ e2 @ e3))) | ($false))) & 426.77/62.84 (((((op @ e1 @ e2) = (e2))) | (((e2) = (op @ e3 @ e2))) | 426.77/62.84 (((e2) = (op @ e4 @ e2))) | ($false) | (((op @ e0 @ e2) = (e2))))) & 426.77/62.84 ((($false) | (((op @ e4 @ e2) = (e3))) | (((e3) = (op @ e3 @ e2))) | 426.77/62.84 (((op @ e1 @ e2) = (e3))) | (((e3) = (op @ e0 @ e2))))) & 426.77/62.84 ((($false) | ($false) | (((e4) = (e4))) | ($false) | ($false))) & 426.77/62.84 (((((op @ e1 @ e3) = (e0))) | ($false) | (((op @ e3 @ e3) = (e0))) | 426.77/62.84 (((e0) = (op @ e2 @ e3))) | (((e0) = (op @ e0 @ e3))))) & 426.77/62.84 (((((e3) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | ($false) | (((e3) = (op @ e3 @ e2))))) & 426.77/62.84 (((((e4) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e4))) | 426.77/62.84 (((op @ e3 @ e3) = (e4))) | ($false) | ($false))) & 426.77/62.84 (((((op @ e4 @ e3) = (e4))) | (((e4) = (op @ e3 @ e3))) | ($false) | 426.77/62.84 (((e4) = (op @ e1 @ e3))) | (((op @ e0 @ e3) = (e4))))) & 426.77/62.84 ((($false) | ($false) | (((e0) = (e0))) | ($false) | ($false))) & 426.77/62.84 ((($false) | (((e1) = (e1))) | ($false) | ($false) | ($false))) & 426.77/62.84 (((((e2) = (op @ e4 @ e0))) | (((e2) = (op @ e4 @ e1))) | 426.77/62.84 (((e2) = (op @ e4 @ e3))) | ($false) | (((e2) = (op @ e4 @ e2))))) & 426.77/62.84 (((((op @ e0 @ e4) = (e2))) | (((e2) = (op @ e1 @ e4))) | ($false) | 426.77/62.84 ($false) | ($false))) & 426.77/62.84 ((($false) | ($false) | (((e3) = (e3))) | ($false) | ($false))) & 426.77/62.84 (((((e4) = (op @ e4 @ e1))) | ($false) | (((op @ e4 @ e3) = (e4))) | 426.77/62.84 ($false) | (((op @ e4 @ e0) = (e4))))) & 426.77/62.84 (((((e4) = (op @ e1 @ e4))) | ($false) | ($false) | ($false) | 426.77/62.84 (((e4) = (op @ e0 @ e4))))) & 426.77/62.84 (((((e3) = (op @ e4 @ e0))) | (((e3) = (op @ e4 @ e1))) | 426.77/62.84 (((op @ e4 @ e2) = (e3))) | (((op @ e4 @ e3) = (e3))) | ($false))) & 426.77/62.84 (((((e1) = (op @ e4 @ e1))) | (((e1) = (op @ e4 @ e3))) | ($false) | 426.77/62.84 (((e1) = (op @ e4 @ e2))) | (((e1) = (op @ e4 @ e0))))) & 426.77/62.84 ((($false) | ($false) | (((e0) = (e0))) | ($false) | ($false))) & 426.77/62.84 (((((op @ e0 @ e3) = (e3))) | (((e3) = (op @ e3 @ e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e3))) | ($false) | (((op @ e1 @ e3) = (e3))))) & 426.77/62.84 (((((e2) = (op @ e2 @ e3))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e2))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))))) & 426.77/62.84 (((((e2) = (op @ e3 @ e1))) | (((e2) = (op @ e3 @ e3))) | ($false) | 426.77/62.84 (((e2) = (op @ e3 @ e2))) | (((e2) = (op @ e3 @ e0))))) & 426.77/62.84 (((((e1) = (op @ e2 @ e3))) | ($false) | (((op @ e4 @ e3) = (e1))) | 426.77/62.84 (((op @ e1 @ e3) = (e1))) | (((op @ e0 @ e3) = (e1))))) & 426.77/62.84 ((($false) | ($false) | (((e1) = (e1))) | ($false) | ($false))) & 426.77/62.84 (((((op @ e3 @ e0) = (e0))) | (((e0) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e3 @ e2) = (e0))) | (((op @ e3 @ e3) = (e0))) | ($false))) & 426.77/62.84 ((($false) | (((e4) = (e4))) | ($false) | ($false) | ($false))) & 426.77/62.84 ((($false) | ($false) | (((e3) = (e3))) | ($false) | ($false))) & 426.77/62.84 (((((op @ e2 @ e0) = (e2))) | (((e2) = (op @ e2 @ e3))) | ($false) | 426.77/62.84 ($false) | (((e2) = (op @ e2 @ e1))))) & 426.77/62.84 ((($false) | (((e1) = (op @ e4 @ e2))) | ($false) | 426.77/62.84 (((op @ e1 @ e2) = (e1))) | (((e1) = (op @ e0 @ e2))))) & 426.77/62.84 (((((op @ e2 @ e1) = (e0))) | ($false) | (((op @ e2 @ e3) = (e0))) | 426.77/62.84 ($false) | (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((op @ e1 @ e4) = (e4))) | (((op @ e1 @ e3) = (e4))) | ($false) | 426.77/62.84 (((e4) = (op @ e1 @ e1))) | (((op @ e1 @ e0) = (e4))))) & 426.77/62.84 ((($false) | (((op @ e3 @ e1) = (e3))) | (((op @ e4 @ e1) = (e3))) | 426.77/62.84 (((e3) = (op @ e1 @ e1))) | (((e3) = (op @ e0 @ e1))))) & 426.77/62.84 (((((e2) = (op @ e1 @ e0))) | (((op @ e1 @ e2) = (e2))) | 426.77/62.84 (((e2) = (op @ e1 @ e4))) | (((op @ e1 @ e3) = (e2))) | 426.77/62.84 (((op @ e1 @ e1) = (e2))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e1))) | (((op @ e1 @ e2) = (e1))) | ($false) | 426.77/62.84 (((op @ e1 @ e3) = (e1))) | (((op @ e1 @ e0) = (e1))))) & 426.77/62.84 (((((e4) = (op @ e0 @ e0))) | (((e4) = (op @ e0 @ e1))) | ($false) | 426.77/62.84 (((e4) = (op @ e0 @ e4))) | (((op @ e0 @ e3) = (e4))))) & 426.77/62.84 (((((e3) = (op @ e1 @ e0))) | (((op @ e3 @ e0) = (e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e0))) | ($false) | (((e3) = (op @ e0 @ e0))))) & 426.77/62.84 (((((op @ e0 @ e0) = (e2))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((e2) = (op @ e2 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.84 (((op @ e3 @ e0) = (e2))))) & 426.77/62.84 (((((e1) = (op @ e1 @ e0))) | (((op @ e2 @ e0) = (e1))) | ($false) | 426.77/62.84 (((e1) = (op @ e4 @ e0))) | (((e1) = (op @ e0 @ e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e0))) | (((e0) = (op @ e1 @ e0))) | ($false) | 426.77/62.84 (((e0) = (op @ e3 @ e0))) | (((op @ e2 @ e0) = (e0))))) & 426.77/62.84 (((((e0) = (op @ e0 @ e0))) | (((op @ e0 @ e2) = (e0))) | 426.77/62.84 (((e0) = (op @ e0 @ e3))) | ($false) | (((op @ e0 @ e1) = (e0)))))))), 426.77/62.84 inference('inner_simplify_reflect', [status(thm)], 426.77/62.84 [zip_derived_cl293, zip_derived_cl201, zip_derived_cl204, 426.77/62.84 zip_derived_cl208, zip_derived_cl212, zip_derived_cl214, 426.77/62.84 zip_derived_cl216, zip_derived_cl228, zip_derived_cl229, 426.77/62.84 zip_derived_cl239])). 426.77/62.84 thf(zip_derived_cl677, plain, 426.77/62.84 ( (((((e4) = (op @ e4 @ e1))) | ($false) | (((op @ e4 @ e3) = (e4))) | 426.77/62.84 ($false) | (((op @ e4 @ e0) = (e4)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.84 thf(zip_derived_cl2328, plain, 426.77/62.84 (( (((e4) = (op @ e4 @ e1))) 426.77/62.84 | (((op @ e4 @ e3) = (e4))) 426.77/62.84 | (((op @ e4 @ e0) = (e4))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl677])). 426.77/62.84 thf(zip_derived_cl2329, plain, 426.77/62.84 ((((e4) = (op @ e4 @ e1)) 426.77/62.84 | ((op @ e4 @ e3) = (e4)) 426.77/62.84 | ((op @ e4 @ e0) = (e4)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl2328])). 426.77/62.84 thf('4', plain, 426.77/62.84 ((((op @ e4 @ e1) = (e4))) | (((op @ e4 @ e0) = (e4))) | 426.77/62.84 (((e4) = (op @ e4 @ e3)))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl2329])). 426.77/62.84 thf(zip_derived_cl569, plain, 426.77/62.84 ( (((((op @ e4 @ e1) = (e1))) | (((op @ e4 @ e1) = (e4))) | 426.77/62.84 (((op @ e4 @ e1) = (e3))) | (((op @ e4 @ e1) = (e2))) | ($false)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1146, plain, 426.77/62.84 (( (((op @ e4 @ e1) = (e1))) 426.77/62.84 | (((op @ e4 @ e1) = (e4))) 426.77/62.84 | (((op @ e4 @ e1) = (e3))) 426.77/62.84 | (((op @ e4 @ e1) = (e2))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl569])). 426.77/62.84 thf(zip_derived_cl1147, plain, 426.77/62.84 ((((op @ e4 @ e1) = (e1)) 426.77/62.84 | ((op @ e4 @ e1) = (e4)) 426.77/62.84 | ((op @ e4 @ e1) = (e3)) 426.77/62.84 | ((op @ e4 @ e1) = (e2)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1146])). 426.77/62.84 thf(zip_derived_cl1151, plain, 426.77/62.84 ((((op @ e4 @ e1) = (e4))) <= ((((op @ e4 @ e1) = (e4))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.84 thf(co1, conjecture, 426.77/62.84 (~( ( ( ( ( e4 ) = ( op @ e0 @ ( op @ e4 @ e0 ) ) ) & 426.77/62.84 ( ( op @ e4 @ ( op @ e4 @ e0 ) ) != ( e0 ) ) ) | 426.77/62.84 ( ( ( e0 ) != ( op @ e3 @ ( op @ e3 @ e0 ) ) ) & 426.77/62.84 ( ( e3 ) = ( op @ e0 @ ( op @ e3 @ e0 ) ) ) ) | 426.77/62.84 ( ( ( op @ e0 @ ( op @ e2 @ e0 ) ) = ( e2 ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e0 ) ) != ( e0 ) ) ) | 426.77/62.84 ( ( ( e0 ) != ( op @ e1 @ ( op @ e1 @ e0 ) ) ) & 426.77/62.84 ( ( op @ e0 @ ( op @ e1 @ e0 ) ) = ( e1 ) ) ) | 426.77/62.84 ( ( ( e0 ) = ( op @ e0 @ ( op @ e0 @ e0 ) ) ) & 426.77/62.84 ( ( e0 ) != ( op @ e0 @ ( op @ e0 @ e0 ) ) ) ) ) & 426.77/62.84 ( ( ( ( e3 ) != ( op @ e0 @ ( op @ e0 @ e3 ) ) ) & 426.77/62.84 ( ( e0 ) = ( op @ e3 @ ( op @ e0 @ e3 ) ) ) ) | 426.77/62.84 ( ( ( op @ e3 @ ( op @ e1 @ e3 ) ) = ( e1 ) ) & 426.77/62.84 ( ( e3 ) != ( op @ e1 @ ( op @ e1 @ e3 ) ) ) ) | 426.77/62.84 ( ( ( e3 ) != ( op @ e4 @ ( op @ e4 @ e3 ) ) ) & 426.77/62.84 ( ( op @ e3 @ ( op @ e4 @ e3 ) ) = ( e4 ) ) ) | 426.77/62.84 ( ( ( e3 ) != ( op @ e3 @ ( op @ e3 @ e3 ) ) ) & 426.77/62.84 ( ( e3 ) = ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) | 426.77/62.84 ( ( ( op @ e3 @ ( op @ e2 @ e3 ) ) = ( e2 ) ) & 426.77/62.84 ( ( e3 ) != ( op @ e2 @ ( op @ e2 @ e3 ) ) ) ) ) & 426.77/62.84 ( ( ( ( op @ e0 @ e1 ) != ( op @ e1 @ e0 ) ) & 426.77/62.84 ( ( e0 ) = ( op @ ( op @ e0 @ e1 ) @ e1 ) ) & 426.77/62.84 ( ( op @ ( op @ e0 @ e1 ) @ e0 ) != ( e1 ) ) ) | 426.77/62.84 ( ( ( e2 ) != ( op @ ( op @ e0 @ e2 ) @ e0 ) ) & 426.77/62.84 ( ( op @ ( op @ e0 @ e2 ) @ e2 ) = ( e0 ) ) & 426.77/62.84 ( ( op @ e0 @ e2 ) != ( op @ e2 @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ e0 @ e4 ) != ( op @ e4 @ e0 ) ) & 426.77/62.84 ( ( op @ ( op @ e0 @ e4 ) @ e4 ) = ( e0 ) ) & 426.77/62.84 ( ( e4 ) != ( op @ ( op @ e0 @ e4 ) @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e1 @ e0 ) @ e0 ) = ( e1 ) ) & 426.77/62.84 ( ( e0 ) != ( op @ ( op @ e1 @ e0 ) @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e0 ) != ( op @ e0 @ e1 ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ e1 ) != ( op @ e1 @ e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e2 ) @ e2 ) = ( e1 ) ) & 426.77/62.84 ( ( e2 ) != ( op @ ( op @ e1 @ e2 ) @ e1 ) ) ) | 426.77/62.84 ( ( ( op @ e3 @ e1 ) != ( op @ e1 @ e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e3 ) @ e1 ) != ( e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e3 ) @ e3 ) = ( e1 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e1 ) != ( op @ e1 @ e4 ) ) & 426.77/62.84 ( ( e1 ) = ( op @ ( op @ e1 @ e4 ) @ e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e4 ) @ e1 ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ e0 ) != ( op @ e0 @ e2 ) ) & 426.77/62.84 ( ( e0 ) != ( op @ ( op @ e2 @ e0 ) @ e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e0 ) @ e0 ) = ( e2 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e2 @ e1 ) @ e2 ) != ( e1 ) ) & 426.77/62.84 ( ( e2 ) = ( op @ ( op @ e2 @ e1 ) @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e2 ) != ( op @ e2 @ e1 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e3 @ e1 ) @ e3 ) != ( e1 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e1 ) @ e1 ) = ( e3 ) ) & 426.77/62.84 ( ( op @ e1 @ e3 ) != ( op @ e3 @ e1 ) ) ) | 426.77/62.84 ( ( ( e2 ) != ( op @ ( op @ e3 @ e2 ) @ e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e2 ) @ e2 ) = ( e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e3 ) != ( op @ e3 @ e2 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e3 @ e3 ) @ e3 ) != ( e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e3 ) @ e3 ) = ( e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e3 ) != ( op @ e3 @ e3 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e2 ) != ( op @ e2 @ e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e4 @ e2 ) @ e4 ) != ( e2 ) ) & 426.77/62.84 ( ( e4 ) = ( op @ ( op @ e4 @ e2 ) @ e2 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e4 @ e4 ) @ e4 ) != ( e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e4 @ e4 ) @ e4 ) = ( e4 ) ) & 426.77/62.84 ( ( op @ e4 @ e4 ) != ( op @ e4 @ e4 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e4 @ e3 ) @ e3 ) = ( e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e4 @ e3 ) @ e4 ) != ( e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e4 ) != ( op @ e4 @ e3 ) ) ) | 426.77/62.84 ( ( ( e4 ) = ( op @ ( op @ e4 @ e1 ) @ e1 ) ) & 426.77/62.84 ( ( e1 ) != ( op @ ( op @ e4 @ e1 ) @ e4 ) ) & 426.77/62.84 ( ( op @ e1 @ e4 ) != ( op @ e4 @ e1 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e0 ) != ( op @ e0 @ e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e4 @ e0 ) @ e4 ) != ( e0 ) ) & 426.77/62.84 ( ( e4 ) = ( op @ ( op @ e4 @ e0 ) @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e3 ) != ( op @ e3 @ e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e4 ) @ e4 ) = ( e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e4 ) @ e3 ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e3 @ e0 ) @ e0 ) = ( e3 ) ) & 426.77/62.84 ( ( e0 ) != ( op @ ( op @ e3 @ e0 ) @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e3 ) != ( op @ e3 @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e2 ) != ( op @ e2 @ e4 ) ) & 426.77/62.84 ( ( e4 ) != ( op @ ( op @ e2 @ e4 ) @ e2 ) ) & 426.77/62.84 ( ( e2 ) = ( op @ ( op @ e2 @ e4 ) @ e4 ) ) ) | 426.77/62.84 ( ( ( op @ e3 @ e2 ) != ( op @ e2 @ e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e3 ) @ e3 ) = ( e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e3 ) @ e2 ) != ( e3 ) ) ) | 426.77/62.84 ( ( ( e2 ) = ( op @ ( op @ e2 @ e2 ) @ e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e2 ) @ e2 ) != ( e2 ) ) & 426.77/62.84 ( ( op @ e2 @ e2 ) != ( op @ e2 @ e2 ) ) ) | 426.77/62.84 ( ( ( op @ e1 @ e1 ) != ( op @ e1 @ e1 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e1 ) @ e1 ) = ( e1 ) ) & 426.77/62.84 ( ( e1 ) != ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ) | 426.77/62.84 ( ( ( e3 ) != ( op @ ( op @ e0 @ e3 ) @ e0 ) ) & 426.77/62.84 ( ( e0 ) = ( op @ ( op @ e0 @ e3 ) @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e3 ) != ( op @ e3 @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ e0 @ e0 ) != ( op @ e0 @ e0 ) ) & 426.77/62.84 ( ( op @ ( op @ e0 @ e0 ) @ e0 ) = ( e0 ) ) & 426.77/62.84 ( ( e0 ) != ( op @ ( op @ e0 @ e0 ) @ e0 ) ) ) ) & 426.77/62.84 ( ( ( ( e4 ) != ( op @ e4 @ ( op @ e4 @ e4 ) ) ) & 426.77/62.84 ( ( op @ e4 @ ( op @ e4 @ e4 ) ) = ( e4 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ ( op @ e3 @ e4 ) ) = ( e3 ) ) & 426.77/62.84 ( ( op @ e3 @ ( op @ e3 @ e4 ) ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( e2 ) = ( op @ e4 @ ( op @ e2 @ e4 ) ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e4 ) ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( e1 ) = ( op @ e4 @ ( op @ e1 @ e4 ) ) ) & 426.77/62.84 ( ( op @ e1 @ ( op @ e1 @ e4 ) ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( e0 ) = ( op @ e4 @ ( op @ e0 @ e4 ) ) ) & 426.77/62.84 ( ( op @ e0 @ ( op @ e0 @ e4 ) ) != ( e4 ) ) ) ) & 426.77/62.84 ( ( ( ( op @ e2 @ ( op @ e1 @ e2 ) ) = ( e1 ) ) & 426.77/62.84 ( ( e2 ) != ( op @ e1 @ ( op @ e1 @ e2 ) ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ ( op @ e2 @ e2 ) ) = ( e2 ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e2 ) ) != ( e2 ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ ( op @ e3 @ e2 ) ) = ( e3 ) ) & 426.77/62.84 ( ( e2 ) != ( op @ e3 @ ( op @ e3 @ e2 ) ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ ( op @ e4 @ e2 ) ) = ( e4 ) ) & 426.77/62.84 ( ( op @ e4 @ ( op @ e4 @ e2 ) ) != ( e2 ) ) ) | 426.77/62.84 ( ( ( e0 ) = ( op @ e2 @ ( op @ e0 @ e2 ) ) ) & 426.77/62.84 ( ( op @ e0 @ ( op @ e0 @ e2 ) ) != ( e2 ) ) ) ) & 426.77/62.84 ( ( ( ( e1 ) != ( op @ e1 @ ( op @ e1 @ e1 ) ) ) & 426.77/62.84 ( ( e1 ) = ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) | 426.77/62.84 ( ( ( e1 ) != ( op @ e4 @ ( op @ e4 @ e1 ) ) ) & 426.77/62.84 ( ( op @ e1 @ ( op @ e4 @ e1 ) ) = ( e4 ) ) ) | 426.77/62.84 ( ( ( e1 ) != ( op @ e3 @ ( op @ e3 @ e1 ) ) ) & 426.77/62.84 ( ( op @ e1 @ ( op @ e3 @ e1 ) ) = ( e3 ) ) ) | 426.77/62.84 ( ( ( e2 ) = ( op @ e1 @ ( op @ e2 @ e1 ) ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e1 ) ) != ( e1 ) ) ) | 426.77/62.84 ( ( ( op @ e1 @ ( op @ e0 @ e1 ) ) = ( e0 ) ) & 426.77/62.84 ( ( e1 ) != ( op @ e0 @ ( op @ e0 @ e1 ) ) ) ) ) ))). 426.77/62.84 thf(zf_stmt_0, negated_conjecture, 426.77/62.84 (( ( ( ( e4 ) = ( op @ e0 @ ( op @ e4 @ e0 ) ) ) & 426.77/62.84 ( ( op @ e4 @ ( op @ e4 @ e0 ) ) != ( e0 ) ) ) | 426.77/62.84 ( ( ( e0 ) != ( op @ e3 @ ( op @ e3 @ e0 ) ) ) & 426.77/62.84 ( ( e3 ) = ( op @ e0 @ ( op @ e3 @ e0 ) ) ) ) | 426.77/62.84 ( ( ( op @ e0 @ ( op @ e2 @ e0 ) ) = ( e2 ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e0 ) ) != ( e0 ) ) ) | 426.77/62.84 ( ( ( e0 ) != ( op @ e1 @ ( op @ e1 @ e0 ) ) ) & 426.77/62.84 ( ( op @ e0 @ ( op @ e1 @ e0 ) ) = ( e1 ) ) ) | 426.77/62.84 ( ( ( e0 ) = ( op @ e0 @ ( op @ e0 @ e0 ) ) ) & 426.77/62.84 ( ( e0 ) != ( op @ e0 @ ( op @ e0 @ e0 ) ) ) ) ) & 426.77/62.84 ( ( ( ( e3 ) != ( op @ e0 @ ( op @ e0 @ e3 ) ) ) & 426.77/62.84 ( ( e0 ) = ( op @ e3 @ ( op @ e0 @ e3 ) ) ) ) | 426.77/62.84 ( ( ( op @ e3 @ ( op @ e1 @ e3 ) ) = ( e1 ) ) & 426.77/62.84 ( ( e3 ) != ( op @ e1 @ ( op @ e1 @ e3 ) ) ) ) | 426.77/62.84 ( ( ( e3 ) != ( op @ e4 @ ( op @ e4 @ e3 ) ) ) & 426.77/62.84 ( ( op @ e3 @ ( op @ e4 @ e3 ) ) = ( e4 ) ) ) | 426.77/62.84 ( ( ( e3 ) != ( op @ e3 @ ( op @ e3 @ e3 ) ) ) & 426.77/62.84 ( ( e3 ) = ( op @ e3 @ ( op @ e3 @ e3 ) ) ) ) | 426.77/62.84 ( ( ( op @ e3 @ ( op @ e2 @ e3 ) ) = ( e2 ) ) & 426.77/62.84 ( ( e3 ) != ( op @ e2 @ ( op @ e2 @ e3 ) ) ) ) ) & 426.77/62.84 ( ( ( ( op @ e0 @ e1 ) != ( op @ e1 @ e0 ) ) & 426.77/62.84 ( ( e0 ) = ( op @ ( op @ e0 @ e1 ) @ e1 ) ) & 426.77/62.84 ( ( op @ ( op @ e0 @ e1 ) @ e0 ) != ( e1 ) ) ) | 426.77/62.84 ( ( ( e2 ) != ( op @ ( op @ e0 @ e2 ) @ e0 ) ) & 426.77/62.84 ( ( op @ ( op @ e0 @ e2 ) @ e2 ) = ( e0 ) ) & 426.77/62.84 ( ( op @ e0 @ e2 ) != ( op @ e2 @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ e0 @ e4 ) != ( op @ e4 @ e0 ) ) & 426.77/62.84 ( ( op @ ( op @ e0 @ e4 ) @ e4 ) = ( e0 ) ) & 426.77/62.84 ( ( e4 ) != ( op @ ( op @ e0 @ e4 ) @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e1 @ e0 ) @ e0 ) = ( e1 ) ) & 426.77/62.84 ( ( e0 ) != ( op @ ( op @ e1 @ e0 ) @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e0 ) != ( op @ e0 @ e1 ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ e1 ) != ( op @ e1 @ e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e2 ) @ e2 ) = ( e1 ) ) & 426.77/62.84 ( ( e2 ) != ( op @ ( op @ e1 @ e2 ) @ e1 ) ) ) | 426.77/62.84 ( ( ( op @ e3 @ e1 ) != ( op @ e1 @ e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e3 ) @ e1 ) != ( e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e3 ) @ e3 ) = ( e1 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e1 ) != ( op @ e1 @ e4 ) ) & 426.77/62.84 ( ( e1 ) = ( op @ ( op @ e1 @ e4 ) @ e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e4 ) @ e1 ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ e0 ) != ( op @ e0 @ e2 ) ) & 426.77/62.84 ( ( e0 ) != ( op @ ( op @ e2 @ e0 ) @ e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e0 ) @ e0 ) = ( e2 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e2 @ e1 ) @ e2 ) != ( e1 ) ) & 426.77/62.84 ( ( e2 ) = ( op @ ( op @ e2 @ e1 ) @ e1 ) ) & 426.77/62.84 ( ( op @ e1 @ e2 ) != ( op @ e2 @ e1 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e3 @ e1 ) @ e3 ) != ( e1 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e1 ) @ e1 ) = ( e3 ) ) & 426.77/62.84 ( ( op @ e1 @ e3 ) != ( op @ e3 @ e1 ) ) ) | 426.77/62.84 ( ( ( e2 ) != ( op @ ( op @ e3 @ e2 ) @ e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e2 ) @ e2 ) = ( e3 ) ) & 426.77/62.84 ( ( op @ e2 @ e3 ) != ( op @ e3 @ e2 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e3 @ e3 ) @ e3 ) != ( e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e3 ) @ e3 ) = ( e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e3 ) != ( op @ e3 @ e3 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e2 ) != ( op @ e2 @ e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e4 @ e2 ) @ e4 ) != ( e2 ) ) & 426.77/62.84 ( ( e4 ) = ( op @ ( op @ e4 @ e2 ) @ e2 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e4 @ e4 ) @ e4 ) != ( e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e4 @ e4 ) @ e4 ) = ( e4 ) ) & 426.77/62.84 ( ( op @ e4 @ e4 ) != ( op @ e4 @ e4 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e4 @ e3 ) @ e3 ) = ( e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e4 @ e3 ) @ e4 ) != ( e3 ) ) & 426.77/62.84 ( ( op @ e3 @ e4 ) != ( op @ e4 @ e3 ) ) ) | 426.77/62.84 ( ( ( e4 ) = ( op @ ( op @ e4 @ e1 ) @ e1 ) ) & 426.77/62.84 ( ( e1 ) != ( op @ ( op @ e4 @ e1 ) @ e4 ) ) & 426.77/62.84 ( ( op @ e1 @ e4 ) != ( op @ e4 @ e1 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e0 ) != ( op @ e0 @ e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e4 @ e0 ) @ e4 ) != ( e0 ) ) & 426.77/62.84 ( ( e4 ) = ( op @ ( op @ e4 @ e0 ) @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e3 ) != ( op @ e3 @ e4 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e4 ) @ e4 ) = ( e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e3 @ e4 ) @ e3 ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( op @ ( op @ e3 @ e0 ) @ e0 ) = ( e3 ) ) & 426.77/62.84 ( ( e0 ) != ( op @ ( op @ e3 @ e0 ) @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e3 ) != ( op @ e3 @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ e2 ) != ( op @ e2 @ e4 ) ) & 426.77/62.84 ( ( e4 ) != ( op @ ( op @ e2 @ e4 ) @ e2 ) ) & 426.77/62.84 ( ( e2 ) = ( op @ ( op @ e2 @ e4 ) @ e4 ) ) ) | 426.77/62.84 ( ( ( op @ e3 @ e2 ) != ( op @ e2 @ e3 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e3 ) @ e3 ) = ( e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e3 ) @ e2 ) != ( e3 ) ) ) | 426.77/62.84 ( ( ( e2 ) = ( op @ ( op @ e2 @ e2 ) @ e2 ) ) & 426.77/62.84 ( ( op @ ( op @ e2 @ e2 ) @ e2 ) != ( e2 ) ) & 426.77/62.84 ( ( op @ e2 @ e2 ) != ( op @ e2 @ e2 ) ) ) | 426.77/62.84 ( ( ( op @ e1 @ e1 ) != ( op @ e1 @ e1 ) ) & 426.77/62.84 ( ( op @ ( op @ e1 @ e1 ) @ e1 ) = ( e1 ) ) & 426.77/62.84 ( ( e1 ) != ( op @ ( op @ e1 @ e1 ) @ e1 ) ) ) | 426.77/62.84 ( ( ( e3 ) != ( op @ ( op @ e0 @ e3 ) @ e0 ) ) & 426.77/62.84 ( ( e0 ) = ( op @ ( op @ e0 @ e3 ) @ e3 ) ) & 426.77/62.84 ( ( op @ e0 @ e3 ) != ( op @ e3 @ e0 ) ) ) | 426.77/62.84 ( ( ( op @ e0 @ e0 ) != ( op @ e0 @ e0 ) ) & 426.77/62.84 ( ( op @ ( op @ e0 @ e0 ) @ e0 ) = ( e0 ) ) & 426.77/62.84 ( ( e0 ) != ( op @ ( op @ e0 @ e0 ) @ e0 ) ) ) ) & 426.77/62.84 ( ( ( ( e4 ) != ( op @ e4 @ ( op @ e4 @ e4 ) ) ) & 426.77/62.84 ( ( op @ e4 @ ( op @ e4 @ e4 ) ) = ( e4 ) ) ) | 426.77/62.84 ( ( ( op @ e4 @ ( op @ e3 @ e4 ) ) = ( e3 ) ) & 426.77/62.84 ( ( op @ e3 @ ( op @ e3 @ e4 ) ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( e2 ) = ( op @ e4 @ ( op @ e2 @ e4 ) ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e4 ) ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( e1 ) = ( op @ e4 @ ( op @ e1 @ e4 ) ) ) & 426.77/62.84 ( ( op @ e1 @ ( op @ e1 @ e4 ) ) != ( e4 ) ) ) | 426.77/62.84 ( ( ( e0 ) = ( op @ e4 @ ( op @ e0 @ e4 ) ) ) & 426.77/62.84 ( ( op @ e0 @ ( op @ e0 @ e4 ) ) != ( e4 ) ) ) ) & 426.77/62.84 ( ( ( ( op @ e2 @ ( op @ e1 @ e2 ) ) = ( e1 ) ) & 426.77/62.84 ( ( e2 ) != ( op @ e1 @ ( op @ e1 @ e2 ) ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ ( op @ e2 @ e2 ) ) = ( e2 ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e2 ) ) != ( e2 ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ ( op @ e3 @ e2 ) ) = ( e3 ) ) & 426.77/62.84 ( ( e2 ) != ( op @ e3 @ ( op @ e3 @ e2 ) ) ) ) | 426.77/62.84 ( ( ( op @ e2 @ ( op @ e4 @ e2 ) ) = ( e4 ) ) & 426.77/62.84 ( ( op @ e4 @ ( op @ e4 @ e2 ) ) != ( e2 ) ) ) | 426.77/62.84 ( ( ( e0 ) = ( op @ e2 @ ( op @ e0 @ e2 ) ) ) & 426.77/62.84 ( ( op @ e0 @ ( op @ e0 @ e2 ) ) != ( e2 ) ) ) ) & 426.77/62.84 ( ( ( ( e1 ) != ( op @ e1 @ ( op @ e1 @ e1 ) ) ) & 426.77/62.84 ( ( e1 ) = ( op @ e1 @ ( op @ e1 @ e1 ) ) ) ) | 426.77/62.84 ( ( ( e1 ) != ( op @ e4 @ ( op @ e4 @ e1 ) ) ) & 426.77/62.84 ( ( op @ e1 @ ( op @ e4 @ e1 ) ) = ( e4 ) ) ) | 426.77/62.84 ( ( ( e1 ) != ( op @ e3 @ ( op @ e3 @ e1 ) ) ) & 426.77/62.84 ( ( op @ e1 @ ( op @ e3 @ e1 ) ) = ( e3 ) ) ) | 426.77/62.84 ( ( ( e2 ) = ( op @ e1 @ ( op @ e2 @ e1 ) ) ) & 426.77/62.84 ( ( op @ e2 @ ( op @ e2 @ e1 ) ) != ( e1 ) ) ) | 426.77/62.84 ( ( ( op @ e1 @ ( op @ e0 @ e1 ) ) = ( e0 ) ) & 426.77/62.84 ( ( e1 ) != ( op @ e0 @ ( op @ e0 @ e1 ) ) ) ) )), 426.77/62.84 inference('cnf.neg', [status(esa)], [co1])). 426.77/62.84 thf(zip_derived_cl0, plain, 426.77/62.84 ( (((((((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0)))))) | 426.77/62.84 (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1))))) | 426.77/62.84 (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0)))))))) & 426.77/62.84 (((((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.84 (((e0) = (op @ e3 @ (op @ e0 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.84 (((e3) != (op @ e1 @ (op @ e1 @ e3)))))) | 426.77/62.84 (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.84 (((op @ e3 @ (op @ e4 @ e3)) = (e4))))) | 426.77/62.84 (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.84 (((e3) = (op @ e3 @ (op @ e3 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.84 (((e3) != (op @ e2 @ (op @ e2 @ e3)))))))) & 426.77/62.84 (((((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.84 (((op @ (op @ e0 @ e1) @ e0) != (e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e2 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.84 (((e4) != (op @ (op @ e0 @ e4) @ e0))))) | 426.77/62.84 (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.84 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e1))))) | 426.77/62.84 (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.84 (((e2) != (op @ (op @ e1 @ e2) @ e1))))) | 426.77/62.84 (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e3) = (e1))))) | 426.77/62.84 (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.84 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.84 (((op @ (op @ e1 @ e4) @ e1) != (e4))))) | 426.77/62.84 (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e0) @ e0) = (e2))))) | 426.77/62.84 (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.84 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e2 @ e1))))) | 426.77/62.84 (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.84 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e3 @ e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.84 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e2))))) | 426.77/62.84 (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.84 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e3))))) | 426.77/62.84 (((((op @ e4 @ e2) != (op @ e2 @ e4))) & 426.77/62.84 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e2) @ e2))))) | 426.77/62.84 (((((op @ (op @ e4 @ e4) @ e4) != (e4))) & 426.77/62.84 (((op @ (op @ e4 @ e4) @ e4) = (e4))) & 426.77/62.84 (((op @ e4 @ e4) != (op @ e4 @ e4))))) | 426.77/62.84 (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.84 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.84 (((op @ e3 @ e4) != (op @ e4 @ e3))))) | 426.77/62.84 (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.84 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e4 @ e1))))) | 426.77/62.84 (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e0) @ e0))))) | 426.77/62.84 (((((op @ e4 @ e3) != (op @ e3 @ e4))) & 426.77/62.84 (((op @ (op @ e3 @ e4) @ e4) = (e3))) & 426.77/62.84 (((op @ (op @ e3 @ e4) @ e3) != (e4))))) | 426.77/62.84 (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.84 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e4 @ e2) != (op @ e2 @ e4))) & 426.77/62.84 (((e4) != (op @ (op @ e2 @ e4) @ e2))) & 426.77/62.84 (((e2) = (op @ (op @ e2 @ e4) @ e4))))) | 426.77/62.84 (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e2) != (e3))))) | 426.77/62.84 (((((e2) = (op @ (op @ e2 @ e2) @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e2) @ e2) != (e2))) & 426.77/62.84 (((op @ e2 @ e2) != (op @ e2 @ e2))))) | 426.77/62.84 (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.84 (((e1) != (op @ (op @ e1 @ e1) @ e1))))) | 426.77/62.84 (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.84 (((e0) != (op @ (op @ e0 @ e0) @ e0))))))) & 426.77/62.84 (((((((e4) != (op @ e4 @ (op @ e4 @ e4)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e4)) = (e4))))) | 426.77/62.84 (((((op @ e4 @ (op @ e3 @ e4)) = (e3))) & 426.77/62.84 (((op @ e3 @ (op @ e3 @ e4)) != (e4))))) | 426.77/62.84 (((((e2) = (op @ e4 @ (op @ e2 @ e4)))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e4)) != (e4))))) | 426.77/62.84 (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.84 (((op @ e1 @ (op @ e1 @ e4)) != (e4))))) | 426.77/62.84 (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e4)) != (e4))))))) & 426.77/62.84 (((((((op @ e2 @ (op @ e1 @ e2)) = (e1))) & 426.77/62.84 (((e2) != (op @ e1 @ (op @ e1 @ e2)))))) | 426.77/62.84 (((((op @ e2 @ (op @ e2 @ e2)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e2)) != (e2))))) | 426.77/62.84 (((((op @ e2 @ (op @ e3 @ e2)) = (e3))) & 426.77/62.84 (((e2) != (op @ e3 @ (op @ e3 @ e2)))))) | 426.77/62.84 (((((op @ e2 @ (op @ e4 @ e2)) = (e4))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e2)) != (e2))))) | 426.77/62.84 (((((e0) = (op @ e2 @ (op @ e0 @ e2)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e2)) != (e2))))))) & 426.77/62.84 (((((((e1) != (op @ e1 @ (op @ e1 @ e1)))) & 426.77/62.84 (((e1) = (op @ e1 @ (op @ e1 @ e1)))))) | 426.77/62.84 (((((e1) != (op @ e4 @ (op @ e4 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e4 @ e1)) = (e4))))) | 426.77/62.84 (((((e1) != (op @ e3 @ (op @ e3 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e3 @ e1)) = (e3))))) | 426.77/62.84 (((((e2) = (op @ e1 @ (op @ e2 @ e1)))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e1)) != (e1))))) | 426.77/62.84 (((((op @ e1 @ (op @ e0 @ e1)) = (e0))) & 426.77/62.84 (((e1) != (op @ e0 @ (op @ e0 @ e1))))))))))), 426.77/62.84 inference('cnf', [status(esa)], [zf_stmt_0])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl17, plain, (((op @ e4 @ e4) = (e0))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl11, zip_derived_cl12, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.84 zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl12, plain, (((e4) = (op @ e2 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 426.77/62.84 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.84 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.84 thf(zip_derived_cl19, plain, 426.77/62.84 ( (((((((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0)))))) | 426.77/62.84 (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1))))) | 426.77/62.84 (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0)))))))) & 426.77/62.84 (((((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.84 (((e0) = (op @ e3 @ (op @ e0 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.84 (((e3) != (op @ e1 @ (op @ e1 @ e3)))))) | 426.77/62.84 (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.84 (((op @ e3 @ (op @ e4 @ e3)) = (e4))))) | 426.77/62.84 (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.84 (((e3) = (op @ e3 @ (op @ e3 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.84 (((e3) != (op @ e2 @ (op @ e2 @ e3)))))))) & 426.77/62.84 (((((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.84 (((op @ (op @ e0 @ e1) @ e0) != (e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e2 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.84 (((e4) != (op @ (op @ e0 @ e4) @ e0))))) | 426.77/62.84 (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.84 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e1))))) | 426.77/62.84 (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.84 (((e2) != (op @ (op @ e1 @ e2) @ e1))))) | 426.77/62.84 (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e3) = (e1))))) | 426.77/62.84 (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.84 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.84 (((op @ (op @ e1 @ e4) @ e1) != (e4))))) | 426.77/62.84 (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e0) @ e0) = (e2))))) | 426.77/62.84 (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.84 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e2 @ e1))))) | 426.77/62.84 (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.84 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e3 @ e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.84 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e2))))) | 426.77/62.84 (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.84 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e3))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & 426.77/62.84 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e2) @ e2))))) | 426.77/62.84 (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.84 (((e0) != (e0))))) | 426.77/62.84 (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.84 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.84 (((e1) != (op @ e4 @ e3))))) | 426.77/62.84 (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.84 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e4 @ e1))))) | 426.77/62.84 (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e0) @ e0))))) | 426.77/62.84 (((((op @ e4 @ e3) != (e1))) & (((op @ e1 @ e4) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (e4))))) | 426.77/62.84 (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.84 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & (((e4) != (op @ e3 @ e2))) & 426.77/62.84 (((e2) = (e1))))) | 426.77/62.84 (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e2) != (e3))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.84 (((e4) != (e4))))) | 426.77/62.84 (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.84 (((e1) != (op @ (op @ e1 @ e1) @ e1))))) | 426.77/62.84 (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.84 (((e0) != (op @ (op @ e0 @ e0) @ e0))))))) & 426.77/62.84 (((((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4))))) | 426.77/62.84 (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))) | 426.77/62.84 (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.84 (((op @ e1 @ (op @ e1 @ e4)) != (e4))))) | 426.77/62.84 (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e4)) != (e4))))))) & 426.77/62.84 (((((((op @ e2 @ (op @ e1 @ e2)) = (e1))) & 426.77/62.84 (((e2) != (op @ e1 @ (op @ e1 @ e2)))))) | 426.77/62.84 (((((e3) = (e2))) & (((e3) != (e2))))) | 426.77/62.84 (((((op @ e2 @ (op @ e3 @ e2)) = (e3))) & 426.77/62.84 (((e2) != (op @ e3 @ (op @ e3 @ e2)))))) | 426.77/62.84 (((((op @ e2 @ (op @ e4 @ e2)) = (e4))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e2)) != (e2))))) | 426.77/62.84 (((((e0) = (op @ e2 @ (op @ e0 @ e2)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e2)) != (e2))))))) & 426.77/62.84 (((((((e1) != (op @ e1 @ (op @ e1 @ e1)))) & 426.77/62.84 (((e1) = (op @ e1 @ (op @ e1 @ e1)))))) | 426.77/62.84 (((((e1) != (op @ e4 @ (op @ e4 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e4 @ e1)) = (e4))))) | 426.77/62.84 (((((e1) != (op @ e3 @ (op @ e3 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e3 @ e1)) = (e3))))) | 426.77/62.84 (((((e2) = (op @ e1 @ (op @ e2 @ e1)))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e1)) != (e1))))) | 426.77/62.84 (((((op @ e1 @ (op @ e0 @ e1)) = (e0))) & 426.77/62.84 (((e1) != (op @ e0 @ (op @ e0 @ e1))))))))))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl0, zip_derived_cl16, zip_derived_cl17, 426.77/62.84 zip_derived_cl17, zip_derived_cl17, zip_derived_cl17, 426.77/62.84 zip_derived_cl18, zip_derived_cl18, zip_derived_cl18, 426.77/62.84 zip_derived_cl18, zip_derived_cl16, zip_derived_cl16, 426.77/62.84 zip_derived_cl16, zip_derived_cl18, zip_derived_cl12, 426.77/62.84 zip_derived_cl12, zip_derived_cl12, zip_derived_cl12, 426.77/62.84 zip_derived_cl17, zip_derived_cl17, zip_derived_cl18, 426.77/62.84 zip_derived_cl18, zip_derived_cl16, zip_derived_cl16, 426.77/62.84 zip_derived_cl12, zip_derived_cl16, zip_derived_cl12, 426.77/62.84 zip_derived_cl16])). 426.77/62.84 thf(zip_derived_cl23, plain, 426.77/62.84 ( (((((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4))))) | 426.77/62.84 (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))) | 426.77/62.84 (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.84 (((op @ e1 @ (op @ e1 @ e4)) != (e4))))) | 426.77/62.84 (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 426.77/62.84 thf(zip_derived_cl255, plain, 426.77/62.84 (( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4))))) 426.77/62.84 | (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4))))) 426.77/62.84 | (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))) 426.77/62.84 | (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.84 (((op @ e1 @ (op @ e1 @ e4)) != (e4))))) 426.77/62.84 | (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e4)) != (e4))))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])). 426.77/62.84 thf(zip_derived_cl257, plain, 426.77/62.84 (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))) 426.77/62.84 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl255])). 426.77/62.84 thf(zip_derived_cl380, plain, 426.77/62.84 (( (((op @ e4 @ e1) = (e3)))) 426.77/62.84 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl257])). 426.77/62.84 thf(zip_derived_cl383, plain, 426.77/62.84 ((((op @ e4 @ e1) = (e3))) 426.77/62.84 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl380])). 426.77/62.84 thf(zip_derived_cl1514, plain, 426.77/62.84 ((((e4) = (e3))) 426.77/62.84 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))) & 426.77/62.84 (((op @ e4 @ e1) = (e4))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1151, zip_derived_cl383])). 426.77/62.84 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.84 thf('5', plain, 426.77/62.84 (~ ( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))) | 426.77/62.84 ~ (((op @ e4 @ e1) = (e4)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1514, zip_derived_cl52])). 426.77/62.84 thf(zip_derived_cl575, plain, 426.77/62.84 ( (((((op @ e1 @ e2) = (e2))) | ($false) | (((op @ e1 @ e2) = (e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e2))) | (((op @ e1 @ e2) = (e0)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1330, plain, 426.77/62.84 (( (((op @ e1 @ e2) = (e2))) 426.77/62.84 | (((op @ e1 @ e2) = (e3))) 426.77/62.84 | (((e1) = (op @ e1 @ e2))) 426.77/62.84 | (((op @ e1 @ e2) = (e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl575])). 426.77/62.84 thf(zip_derived_cl1331, plain, 426.77/62.84 ((((op @ e1 @ e2) = (e2)) 426.77/62.84 | ((op @ e1 @ e2) = (e3)) 426.77/62.84 | ((e1) = (op @ e1 @ e2)) 426.77/62.84 | ((op @ e1 @ e2) = (e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1330])). 426.77/62.84 thf(zip_derived_cl1332, plain, 426.77/62.84 ((((op @ e1 @ e2) = (e2))) <= ((((op @ e1 @ e2) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.84 thf(zip_derived_cl558, plain, 426.77/62.84 ( (((((op @ e1 @ e4) = (e2))) | ($false) | (((e4) = (op @ e1 @ e4))) | 426.77/62.84 ($false) | ($false)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl590, plain, 426.77/62.84 (( (((op @ e1 @ e4) = (e2))) | (((e4) = (op @ e1 @ e4))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl558])). 426.77/62.84 thf(zip_derived_cl591, plain, 426.77/62.84 ((((op @ e1 @ e4) = (e2)) | ((e4) = (op @ e1 @ e4)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl590])). 426.77/62.84 thf(zip_derived_cl592, plain, 426.77/62.84 ((((op @ e1 @ e4) = (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.84 thf(zip_derived_cl92, plain, ( (((op @ e1 @ e2) != (op @ e1 @ e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl218, plain, (((op @ e1 @ e2) != (op @ e1 @ e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl92])). 426.77/62.84 thf(zip_derived_cl598, plain, 426.77/62.84 ((((op @ e1 @ e2) != (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl218])). 426.77/62.84 thf(zip_derived_cl1928, plain, 426.77/62.84 ((((e2) != (e2))) 426.77/62.84 <= ((((op @ e1 @ e4) = (e2))) & (((op @ e1 @ e2) = (e2))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1332, zip_derived_cl598])). 426.77/62.84 thf('6', plain, (~ (((op @ e1 @ e4) = (e2))) | ~ (((op @ e1 @ e2) = (e2)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl1928])). 426.77/62.84 thf(zip_derived_cl1334, plain, 426.77/62.84 ((((op @ e1 @ e2) = (e0))) <= ((((op @ e1 @ e2) = (e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.84 thf(zip_derived_cl1332, plain, 426.77/62.84 ((((op @ e1 @ e2) = (e2))) <= ((((op @ e1 @ e2) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.84 thf(zip_derived_cl1959, plain, 426.77/62.84 ((((e0) = (e2))) 426.77/62.84 <= ((((op @ e1 @ e2) = (e2))) & (((op @ e1 @ e2) = (e0))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1334, zip_derived_cl1332])). 426.77/62.84 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.84 thf('7', plain, (~ (((op @ e1 @ e2) = (e0))) | ~ (((op @ e1 @ e2) = (e2)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1959, zip_derived_cl46])). 426.77/62.84 thf(zip_derived_cl579, plain, 426.77/62.84 ( (((((op @ e0 @ e2) = (e2))) | ($false) | (((op @ e0 @ e2) = (e3))) | 426.77/62.84 (((op @ e0 @ e2) = (e1))) | (((op @ e0 @ e2) = (e0)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1454, plain, 426.77/62.84 (( (((op @ e0 @ e2) = (e2))) 426.77/62.84 | (((op @ e0 @ e2) = (e3))) 426.77/62.84 | (((op @ e0 @ e2) = (e1))) 426.77/62.84 | (((op @ e0 @ e2) = (e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl579])). 426.77/62.84 thf(zip_derived_cl1455, plain, 426.77/62.84 ((((op @ e0 @ e2) = (e2)) 426.77/62.84 | ((op @ e0 @ e2) = (e3)) 426.77/62.84 | ((op @ e0 @ e2) = (e1)) 426.77/62.84 | ((op @ e0 @ e2) = (e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1454])). 426.77/62.84 thf(zip_derived_cl1459, plain, 426.77/62.84 ((((op @ e0 @ e2) = (e0))) <= ((((op @ e0 @ e2) = (e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.84 thf(zip_derived_cl1456, plain, 426.77/62.84 ((((op @ e0 @ e2) = (e1))) <= ((((op @ e0 @ e2) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.84 thf(zip_derived_cl2314, plain, 426.77/62.84 ((((e0) = (e1))) 426.77/62.84 <= ((((op @ e0 @ e2) = (e1))) & (((op @ e0 @ e2) = (e0))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1459, zip_derived_cl1456])). 426.77/62.84 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.84 thf('8', plain, (~ (((op @ e0 @ e2) = (e0))) | ~ (((op @ e0 @ e2) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2314, zip_derived_cl45])). 426.77/62.84 thf(zip_derived_cl1458, plain, 426.77/62.84 ((((op @ e0 @ e2) = (e3))) <= ((((op @ e0 @ e2) = (e3))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.84 thf(zip_derived_cl1456, plain, 426.77/62.84 ((((op @ e0 @ e2) = (e1))) <= ((((op @ e0 @ e2) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.84 thf(zip_derived_cl2299, plain, 426.77/62.84 ((((e3) = (e1))) 426.77/62.84 <= ((((op @ e0 @ e2) = (e1))) & (((op @ e0 @ e2) = (e3))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1458, zip_derived_cl1456])). 426.77/62.84 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.84 thf('9', plain, (~ (((op @ e0 @ e2) = (e1))) | ~ (((op @ e0 @ e2) = (e3)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2299, zip_derived_cl49])). 426.77/62.84 thf(zip_derived_cl1335, plain, 426.77/62.84 ((((e1) = (op @ e1 @ e2))) <= ((((e1) = (op @ e1 @ e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.84 thf(zip_derived_cl1332, plain, 426.77/62.84 ((((op @ e1 @ e2) = (e2))) <= ((((op @ e1 @ e2) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.84 thf(zip_derived_cl1972, plain, 426.77/62.84 ((((e1) = (e2))) 426.77/62.84 <= ((((op @ e1 @ e2) = (e2))) & (((e1) = (op @ e1 @ e2))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1335, zip_derived_cl1332])). 426.77/62.84 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.84 thf('10', plain, (~ (((e1) = (op @ e1 @ e2))) | ~ (((op @ e1 @ e2) = (e2)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1972, zip_derived_cl48])). 426.77/62.84 thf(zip_derived_cl1333, plain, 426.77/62.84 ((((op @ e1 @ e2) = (e3))) <= ((((op @ e1 @ e2) = (e3))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.84 thf(zip_derived_cl1332, plain, 426.77/62.84 ((((op @ e1 @ e2) = (e2))) <= ((((op @ e1 @ e2) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.84 thf(zip_derived_cl1941, plain, 426.77/62.84 ((((e3) = (e2))) 426.77/62.84 <= ((((op @ e1 @ e2) = (e2))) & (((op @ e1 @ e2) = (e3))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1333, zip_derived_cl1332])). 426.77/62.84 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.84 thf('11', plain, (~ (((op @ e1 @ e2) = (e3))) | ~ (((op @ e1 @ e2) = (e2)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1941, zip_derived_cl53])). 426.77/62.84 thf(zip_derived_cl563, plain, 426.77/62.84 ( (((((e0) = (op @ e3 @ e2))) | ($false) | (((op @ e3 @ e2) = (e2))) | 426.77/62.84 (((e3) = (op @ e3 @ e2))) | ($false)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl994, plain, 426.77/62.84 (( (((e0) = (op @ e3 @ e2))) 426.77/62.84 | (((op @ e3 @ e2) = (e2))) 426.77/62.84 | (((e3) = (op @ e3 @ e2))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl563])). 426.77/62.84 thf(zip_derived_cl995, plain, 426.77/62.84 ((((e0) = (op @ e3 @ e2)) 426.77/62.84 | ((op @ e3 @ e2) = (e2)) 426.77/62.84 | ((e3) = (op @ e3 @ e2)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl994])). 426.77/62.84 thf(zip_derived_cl998, plain, 426.77/62.84 ((((e0) = (op @ e3 @ e2))) <= ((((e0) = (op @ e3 @ e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.84 thf(zip_derived_cl997, plain, 426.77/62.84 ((((e3) = (op @ e3 @ e2))) <= ((((e3) = (op @ e3 @ e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.84 thf(zip_derived_cl1079, plain, 426.77/62.84 ((((e3) = (e0))) 426.77/62.84 <= ((((e3) = (op @ e3 @ e2))) & (((e0) = (op @ e3 @ e2))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl998, zip_derived_cl997])). 426.77/62.84 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.84 thf('12', plain, (~ (((e3) = (op @ e3 @ e2))) | ~ (((e0) = (op @ e3 @ e2)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1079, zip_derived_cl54])). 426.77/62.84 thf(zip_derived_cl574, plain, 426.77/62.84 ( (((((e0) = (op @ e1 @ e3))) | (((op @ e1 @ e3) = (e4))) | 426.77/62.84 (((e3) = (op @ e1 @ e3))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.84 (((e1) = (op @ e1 @ e3)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1293, plain, 426.77/62.84 (( (((e0) = (op @ e1 @ e3))) 426.77/62.84 | (((op @ e1 @ e3) = (e4))) 426.77/62.84 | (((e3) = (op @ e1 @ e3))) 426.77/62.84 | (((e2) = (op @ e1 @ e3))) 426.77/62.84 | (((e1) = (op @ e1 @ e3))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl574])). 426.77/62.84 thf(zip_derived_cl1294, plain, 426.77/62.84 ((((e0) = (op @ e1 @ e3)) 426.77/62.84 | ((op @ e1 @ e3) = (e4)) 426.77/62.84 | ((e3) = (op @ e1 @ e3)) 426.77/62.84 | ((e2) = (op @ e1 @ e3)) 426.77/62.84 | ((e1) = (op @ e1 @ e3)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1293])). 426.77/62.84 thf(zip_derived_cl1297, plain, 426.77/62.84 ((((e2) = (op @ e1 @ e3))) <= ((((e2) = (op @ e1 @ e3))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.84 thf(zip_derived_cl564, plain, 426.77/62.84 ( (((((op @ e3 @ e3) = (e0))) | (((e2) = (op @ e3 @ e3))) | 426.77/62.84 (((op @ e3 @ e3) = (e3))) | (((op @ e3 @ e3) = (e4))) | ($false)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1036, plain, 426.77/62.84 (( (((op @ e3 @ e3) = (e0))) 426.77/62.84 | (((e2) = (op @ e3 @ e3))) 426.77/62.84 | (((op @ e3 @ e3) = (e3))) 426.77/62.84 | (((op @ e3 @ e3) = (e4))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl564])). 426.77/62.84 thf(zip_derived_cl1037, plain, 426.77/62.84 ((((op @ e3 @ e3) = (e0)) 426.77/62.84 | ((e2) = (op @ e3 @ e3)) 426.77/62.84 | ((op @ e3 @ e3) = (e3)) 426.77/62.84 | ((op @ e3 @ e3) = (e4)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1036])). 426.77/62.84 thf(zip_derived_cl1041, plain, 426.77/62.84 ((((e2) = (op @ e3 @ e3))) <= ((((e2) = (op @ e3 @ e3))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.84 thf(zip_derived_cl76, plain, ( (((op @ e3 @ e3) != (op @ e1 @ e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl234, plain, (((op @ e3 @ e3) != (op @ e1 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl76])). 426.77/62.84 thf(zip_derived_cl1176, plain, 426.77/62.84 ((((e2) != (op @ e1 @ e3))) <= ((((e2) = (op @ e3 @ e3))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1041, zip_derived_cl234])). 426.77/62.84 thf(zip_derived_cl5389, plain, 426.77/62.84 ((((e2) != (e2))) 426.77/62.84 <= ((((e2) = (op @ e3 @ e3))) & (((e2) = (op @ e1 @ e3))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1297, zip_derived_cl1176])). 426.77/62.84 thf('13', plain, (~ (((e2) = (op @ e1 @ e3))) | ~ (((e2) = (op @ e3 @ e3)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl5389])). 426.77/62.84 thf(zip_derived_cl1538, plain, ((((unit) = (e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.84 thf(zip_derived_cl361, plain, (((e0) = (op @ unit @ e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl360])). 426.77/62.84 thf(zip_derived_cl1543, plain, 426.77/62.84 ((((e0) = (op @ e1 @ e0))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl361])). 426.77/62.84 thf(zip_derived_cl576, plain, 426.77/62.84 ( (((((op @ e1 @ e0) = (e0))) | (((e4) = (op @ e1 @ e0))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.84 (((op @ e1 @ e0) = (e1)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1354, plain, 426.77/62.84 (( (((op @ e1 @ e0) = (e0))) 426.77/62.84 | (((e4) = (op @ e1 @ e0))) 426.77/62.84 | (((e3) = (op @ e1 @ e0))) 426.77/62.84 | (((e2) = (op @ e1 @ e0))) 426.77/62.84 | (((op @ e1 @ e0) = (e1))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl576])). 426.77/62.84 thf(zip_derived_cl1355, plain, 426.77/62.84 ((((op @ e1 @ e0) = (e0)) 426.77/62.84 | ((e4) = (op @ e1 @ e0)) 426.77/62.84 | ((e3) = (op @ e1 @ e0)) 426.77/62.84 | ((e2) = (op @ e1 @ e0)) 426.77/62.84 | ((op @ e1 @ e0) = (e1)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1354])). 426.77/62.84 thf(zip_derived_cl1358, plain, 426.77/62.84 ((((e2) = (op @ e1 @ e0))) <= ((((e2) = (op @ e1 @ e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1355])). 426.77/62.84 thf(zip_derived_cl2599, plain, 426.77/62.84 ((((e2) = (e0))) <= ((((e2) = (op @ e1 @ e0))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1543, zip_derived_cl1358])). 426.77/62.84 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.84 thf('14', plain, (~ (((e2) = (op @ e1 @ e0))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2599, zip_derived_cl46])). 426.77/62.84 thf(zip_derived_cl1538, plain, ((((unit) = (e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.84 thf(zip_derived_cl363, plain, (((e3) = (op @ unit @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl358])). 426.77/62.84 thf(zip_derived_cl1545, plain, 426.77/62.84 ((((e3) = (op @ e1 @ e3))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl363])). 426.77/62.84 thf(zip_derived_cl1297, plain, 426.77/62.84 ((((e2) = (op @ e1 @ e3))) <= ((((e2) = (op @ e1 @ e3))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.84 thf(zip_derived_cl2668, plain, 426.77/62.84 ((((e2) = (e3))) <= ((((e2) = (op @ e1 @ e3))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1545, zip_derived_cl1297])). 426.77/62.84 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.84 thf('15', plain, (~ (((e2) = (op @ e1 @ e3))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2668, zip_derived_cl53])). 426.77/62.84 thf(zip_derived_cl1538, plain, ((((unit) = (e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.84 thf(zip_derived_cl364, plain, (((op @ e3 @ unit) = (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl357])). 426.77/62.84 thf(zip_derived_cl1546, plain, 426.77/62.84 ((((op @ e3 @ e1) = (e3))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl364])). 426.77/62.84 thf(zip_derived_cl571, plain, 426.77/62.84 ( ((($false) | (((op @ e3 @ e1) = (e3))) | (((op @ e3 @ e1) = (e4))) | 426.77/62.84 (((op @ e3 @ e1) = (e2))) | (((op @ e3 @ e1) = (e0)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1192, plain, 426.77/62.84 (( (((op @ e3 @ e1) = (e3))) 426.77/62.84 | (((op @ e3 @ e1) = (e4))) 426.77/62.84 | (((op @ e3 @ e1) = (e2))) 426.77/62.84 | (((op @ e3 @ e1) = (e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl571])). 426.77/62.84 thf(zip_derived_cl1193, plain, 426.77/62.84 ((((op @ e3 @ e1) = (e3)) 426.77/62.84 | ((op @ e3 @ e1) = (e4)) 426.77/62.84 | ((op @ e3 @ e1) = (e2)) 426.77/62.84 | ((op @ e3 @ e1) = (e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1192])). 426.77/62.84 thf(zip_derived_cl1197, plain, 426.77/62.84 ((((op @ e3 @ e1) = (e4))) <= ((((op @ e3 @ e1) = (e4))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.84 thf(zip_derived_cl2703, plain, 426.77/62.84 ((((e3) = (e4))) <= ((((op @ e3 @ e1) = (e4))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1546, zip_derived_cl1197])). 426.77/62.84 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.84 thf('16', plain, (~ (((op @ e3 @ e1) = (e4))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2703, zip_derived_cl52])). 426.77/62.84 thf(zip_derived_cl19, plain, 426.77/62.84 ( (((((((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0)))))) | 426.77/62.84 (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1))))) | 426.77/62.84 (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0)))))))) & 426.77/62.84 (((((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.84 (((e0) = (op @ e3 @ (op @ e0 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.84 (((e3) != (op @ e1 @ (op @ e1 @ e3)))))) | 426.77/62.84 (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.84 (((op @ e3 @ (op @ e4 @ e3)) = (e4))))) | 426.77/62.84 (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.84 (((e3) = (op @ e3 @ (op @ e3 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.84 (((e3) != (op @ e2 @ (op @ e2 @ e3)))))))) & 426.77/62.84 (((((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.84 (((op @ (op @ e0 @ e1) @ e0) != (e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e2 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.84 (((e4) != (op @ (op @ e0 @ e4) @ e0))))) | 426.77/62.84 (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.84 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e1))))) | 426.77/62.84 (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.84 (((e2) != (op @ (op @ e1 @ e2) @ e1))))) | 426.77/62.84 (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e3) = (e1))))) | 426.77/62.84 (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.84 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.84 (((op @ (op @ e1 @ e4) @ e1) != (e4))))) | 426.77/62.84 (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e0) @ e0) = (e2))))) | 426.77/62.84 (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.84 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e2 @ e1))))) | 426.77/62.84 (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.84 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e3 @ e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.84 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e2))))) | 426.77/62.84 (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.84 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e3))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & 426.77/62.84 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e2) @ e2))))) | 426.77/62.84 (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.84 (((e0) != (e0))))) | 426.77/62.84 (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.84 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.84 (((e1) != (op @ e4 @ e3))))) | 426.77/62.84 (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.84 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e4 @ e1))))) | 426.77/62.84 (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e0) @ e0))))) | 426.77/62.84 (((((op @ e4 @ e3) != (e1))) & (((op @ e1 @ e4) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (e4))))) | 426.77/62.84 (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.84 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & (((e4) != (op @ e3 @ e2))) & 426.77/62.84 (((e2) = (e1))))) | 426.77/62.84 (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e2) != (e3))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.84 (((e4) != (e4))))) | 426.77/62.84 (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.84 (((e1) != (op @ (op @ e1 @ e1) @ e1))))) | 426.77/62.84 (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.84 (((e0) != (op @ (op @ e0 @ e0) @ e0))))))) & 426.77/62.84 (((((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4))))) | 426.77/62.84 (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))) | 426.77/62.84 (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.84 (((op @ e1 @ (op @ e1 @ e4)) != (e4))))) | 426.77/62.84 (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e4)) != (e4))))))) & 426.77/62.84 (((((((op @ e2 @ (op @ e1 @ e2)) = (e1))) & 426.77/62.84 (((e2) != (op @ e1 @ (op @ e1 @ e2)))))) | 426.77/62.84 (((((e3) = (e2))) & (((e3) != (e2))))) | 426.77/62.84 (((((op @ e2 @ (op @ e3 @ e2)) = (e3))) & 426.77/62.84 (((e2) != (op @ e3 @ (op @ e3 @ e2)))))) | 426.77/62.84 (((((op @ e2 @ (op @ e4 @ e2)) = (e4))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e2)) != (e2))))) | 426.77/62.84 (((((e0) = (op @ e2 @ (op @ e0 @ e2)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e2)) != (e2))))))) & 426.77/62.84 (((((((e1) != (op @ e1 @ (op @ e1 @ e1)))) & 426.77/62.84 (((e1) = (op @ e1 @ (op @ e1 @ e1)))))) | 426.77/62.84 (((((e1) != (op @ e4 @ (op @ e4 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e4 @ e1)) = (e4))))) | 426.77/62.84 (((((e1) != (op @ e3 @ (op @ e3 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e3 @ e1)) = (e3))))) | 426.77/62.84 (((((e2) = (op @ e1 @ (op @ e2 @ e1)))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e1)) != (e1))))) | 426.77/62.84 (((((op @ e1 @ (op @ e0 @ e1)) = (e0))) & 426.77/62.84 (((e1) != (op @ e0 @ (op @ e0 @ e1))))))))))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl0, zip_derived_cl16, zip_derived_cl17, 426.77/62.84 zip_derived_cl17, zip_derived_cl17, zip_derived_cl17, 426.77/62.84 zip_derived_cl18, zip_derived_cl18, zip_derived_cl18, 426.77/62.84 zip_derived_cl18, zip_derived_cl16, zip_derived_cl16, 426.77/62.84 zip_derived_cl16, zip_derived_cl18, zip_derived_cl12, 426.77/62.84 zip_derived_cl12, zip_derived_cl12, zip_derived_cl12, 426.77/62.84 zip_derived_cl17, zip_derived_cl17, zip_derived_cl18, 426.77/62.84 zip_derived_cl18, zip_derived_cl16, zip_derived_cl16, 426.77/62.84 zip_derived_cl12, zip_derived_cl16, zip_derived_cl12, 426.77/62.84 zip_derived_cl16])). 426.77/62.84 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.84 thf(zip_derived_cl254, plain, 426.77/62.84 ( (((((((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0)))))) | 426.77/62.84 (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1))))) | 426.77/62.84 (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0)))))))) & 426.77/62.84 (((((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.84 (((e0) = (op @ e3 @ (op @ e0 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.84 (((e3) != (op @ e1 @ (op @ e1 @ e3)))))) | 426.77/62.84 (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.84 (((op @ e3 @ (op @ e4 @ e3)) = (e4))))) | 426.77/62.84 (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.84 (((e3) = (op @ e3 @ (op @ e3 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.84 (((e3) != (op @ e2 @ (op @ e2 @ e3)))))))) & 426.77/62.84 (((((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.84 (((op @ (op @ e0 @ e1) @ e0) != (e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e2 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.84 (((e4) != (op @ (op @ e0 @ e4) @ e0))))) | 426.77/62.84 (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.84 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e1))))) | 426.77/62.84 (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.84 (((e2) != (op @ (op @ e1 @ e2) @ e1))))) | 426.77/62.84 (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e3) = (e1))))) | 426.77/62.84 (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.84 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.84 (((op @ (op @ e1 @ e4) @ e1) != (e4))))) | 426.77/62.84 (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e0) @ e0) = (e2))))) | 426.77/62.84 (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.84 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e2 @ e1))))) | 426.77/62.84 (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.84 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e3 @ e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.84 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e2))))) | 426.77/62.84 (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.84 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e3))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & 426.77/62.84 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e2) @ e2))))) | 426.77/62.84 (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.84 (((e0) != (e0))))) | 426.77/62.84 (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.84 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.84 (((e1) != (op @ e4 @ e3))))) | 426.77/62.84 (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.84 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e4 @ e1))))) | 426.77/62.84 (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e0) @ e0))))) | 426.77/62.84 (((((op @ e4 @ e3) != (e1))) & (((op @ e1 @ e4) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (e4))))) | 426.77/62.84 (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.84 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & (((e4) != (op @ e3 @ e2))) & 426.77/62.84 ($false))) | 426.77/62.84 (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e2) != (e3))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.84 (((e4) != (e4))))) | 426.77/62.84 (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.84 (((e1) != (op @ (op @ e1 @ e1) @ e1))))) | 426.77/62.84 (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.84 (((e0) != (op @ (op @ e0 @ e0) @ e0))))))) & 426.77/62.84 (((((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4))))) | 426.77/62.84 (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))) | 426.77/62.84 (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.84 (((op @ e1 @ (op @ e1 @ e4)) != (e4))))) | 426.77/62.84 (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e4)) != (e4))))))) & 426.77/62.84 (((((((op @ e2 @ (op @ e1 @ e2)) = (e1))) & 426.77/62.84 (((e2) != (op @ e1 @ (op @ e1 @ e2)))))) | 426.77/62.84 (((((e3) = (e2))) & (((e3) != (e2))))) | 426.77/62.84 (((((op @ e2 @ (op @ e3 @ e2)) = (e3))) & 426.77/62.84 (((e2) != (op @ e3 @ (op @ e3 @ e2)))))) | 426.77/62.84 (((((op @ e2 @ (op @ e4 @ e2)) = (e4))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e2)) != (e2))))) | 426.77/62.84 (((((e0) = (op @ e2 @ (op @ e0 @ e2)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e2)) != (e2))))))) & 426.77/62.84 (((((((e1) != (op @ e1 @ (op @ e1 @ e1)))) & 426.77/62.84 (((e1) = (op @ e1 @ (op @ e1 @ e1)))))) | 426.77/62.84 (((((e1) != (op @ e4 @ (op @ e4 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e4 @ e1)) = (e4))))) | 426.77/62.84 (((((e1) != (op @ e3 @ (op @ e3 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e3 @ e1)) = (e3))))) | 426.77/62.84 (((((e2) = (op @ e1 @ (op @ e2 @ e1)))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e1)) != (e1))))) | 426.77/62.84 (((((op @ e1 @ (op @ e0 @ e1)) = (e0))) & 426.77/62.84 (((e1) != (op @ e0 @ (op @ e0 @ e1))))))))))), 426.77/62.84 inference('inner_simplify_reflect', [status(thm)], 426.77/62.84 [zip_derived_cl19, zip_derived_cl48])). 426.77/62.84 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.84 thf(zip_derived_cl170, plain, (((e4) != (op @ e3 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl143])). 426.77/62.84 thf(zip_derived_cl176, plain, (((op @ e1 @ e4) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl137])). 426.77/62.84 thf(zip_derived_cl190, plain, (((e4) != (op @ e2 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl121])). 426.77/62.84 thf(zip_derived_cl412, plain, 426.77/62.84 ( (((((((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0)))))) | 426.77/62.84 (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1))))) | 426.77/62.84 (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0)))))))) & 426.77/62.84 (((((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.84 (((e0) = (op @ e3 @ (op @ e0 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.84 (((e3) != (op @ e1 @ (op @ e1 @ e3)))))) | 426.77/62.84 (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.84 (((op @ e3 @ (op @ e4 @ e3)) = (e4))))) | 426.77/62.84 (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.84 (((e3) = (op @ e3 @ (op @ e3 @ e3)))))) | 426.77/62.84 (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.84 (((e3) != (op @ e2 @ (op @ e2 @ e3)))))))) & 426.77/62.84 (((((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.84 (((op @ (op @ e0 @ e1) @ e0) != (e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e2 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.84 (((e4) != (op @ (op @ e0 @ e4) @ e0))))) | 426.77/62.84 (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.84 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e1))))) | 426.77/62.84 (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.84 (((e2) != (op @ (op @ e1 @ e2) @ e1))))) | 426.77/62.84 (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e3) = (e1))))) | 426.77/62.84 (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.84 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.84 (((op @ (op @ e1 @ e4) @ e1) != (e4))))) | 426.77/62.84 (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e0) @ e0) = (e2))))) | 426.77/62.84 (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.84 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e2 @ e1))))) | 426.77/62.84 (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.84 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e3 @ e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.84 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e2))))) | 426.77/62.84 (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.84 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e3))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & 426.77/62.84 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e2) @ e2))))) | 426.77/62.84 (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.84 (((e0) != (e0))))) | 426.77/62.84 (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.84 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.84 (((e1) != (op @ e4 @ e3))))) | 426.77/62.84 (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.84 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e4 @ e1))))) | 426.77/62.84 (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e0) @ e0))))) | 426.77/62.84 (((((op @ e4 @ e3) != (e1))) & ($false) & 426.77/62.84 (((op @ e1 @ e3) != (e4))))) | 426.77/62.84 (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.84 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & ($true) & ($false))) | 426.77/62.84 (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e2) != (e3))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.84 (((e4) != (e4))))) | 426.77/62.84 (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.84 (((e1) != (op @ (op @ e1 @ e1) @ e1))))) | 426.77/62.84 (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.84 (((e0) != (op @ (op @ e0 @ e0) @ e0))))))) & 426.77/62.84 (((((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4))))) | 426.77/62.84 (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e3))) & ($true))) | 426.77/62.84 (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.84 (((op @ e1 @ (op @ e1 @ e4)) != (e4))))) | 426.77/62.84 (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e4)) != (e4))))))) & 426.77/62.84 (((((((op @ e2 @ (op @ e1 @ e2)) = (e1))) & 426.77/62.84 (((e2) != (op @ e1 @ (op @ e1 @ e2)))))) | 426.77/62.84 ((($false) & ($true))) | 426.77/62.84 (((((op @ e2 @ (op @ e3 @ e2)) = (e3))) & 426.77/62.84 (((e2) != (op @ e3 @ (op @ e3 @ e2)))))) | 426.77/62.84 (((((op @ e2 @ (op @ e4 @ e2)) = (e4))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e2)) != (e2))))) | 426.77/62.84 (((((e0) = (op @ e2 @ (op @ e0 @ e2)))) & 426.77/62.84 (((op @ e0 @ (op @ e0 @ e2)) != (e2))))))) & 426.77/62.84 (((((((e1) != (op @ e1 @ (op @ e1 @ e1)))) & 426.77/62.84 (((e1) = (op @ e1 @ (op @ e1 @ e1)))))) | 426.77/62.84 (((((e1) != (op @ e4 @ (op @ e4 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e4 @ e1)) = (e4))))) | 426.77/62.84 (((((e1) != (op @ e3 @ (op @ e3 @ e1)))) & 426.77/62.84 (((op @ e1 @ (op @ e3 @ e1)) = (e3))))) | 426.77/62.84 (((((e2) = (op @ e1 @ (op @ e2 @ e1)))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e1)) != (e1))))) | 426.77/62.84 (((((op @ e1 @ (op @ e0 @ e1)) = (e0))) & 426.77/62.84 (((e1) != (op @ e0 @ (op @ e0 @ e1))))))))))), 426.77/62.84 inference('inner_simplify_reflect', [status(thm)], 426.77/62.84 [zip_derived_cl254, zip_derived_cl53, zip_derived_cl170, 426.77/62.84 zip_derived_cl176, zip_derived_cl190])). 426.77/62.84 thf(zip_derived_cl413, plain, 426.77/62.84 ( (((((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0)))))) | 426.77/62.84 (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e0)) != (e0))))) | 426.77/62.84 (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1))))) | 426.77/62.84 (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0))))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl412])). 426.77/62.84 thf(zip_derived_cl704, plain, 426.77/62.84 (( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0))))) 426.77/62.84 | (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0)))))) 426.77/62.84 | (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e0)) != (e0))))) 426.77/62.84 | (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1))))) 426.77/62.84 | (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0)))))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl413])). 426.77/62.84 thf('17', plain, 426.77/62.84 (( (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.84 (((op @ e2 @ (op @ e2 @ e0)) != (e0)))))) | 426.77/62.84 ( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0)))))) | 426.77/62.84 ( (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0))))))) | 426.77/62.84 ( (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1)))))) | 426.77/62.84 ( (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0)))))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl704])). 426.77/62.84 thf(zip_derived_cl705, plain, 426.77/62.84 (( (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0))))))) 426.77/62.84 <= (( (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0))))))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl704])). 426.77/62.84 thf(zip_derived_cl730, plain, 426.77/62.84 (( (((e0) = (op @ e0 @ (op @ e0 @ e0))))) 426.77/62.84 <= (( (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0))))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl705])). 426.77/62.84 thf(zip_derived_cl733, plain, 426.77/62.84 ((((e0) = (op @ e0 @ (op @ e0 @ e0)))) 426.77/62.84 <= (( (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0))))))))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl730])). 426.77/62.84 thf(zip_derived_cl731, plain, 426.77/62.84 (( (((e0) != (op @ e0 @ (op @ e0 @ e0))))) 426.77/62.84 <= (( (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0))))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl705])). 426.77/62.84 thf(zip_derived_cl732, plain, 426.77/62.84 ((((e0) != (op @ e0 @ (op @ e0 @ e0)))) 426.77/62.84 <= (( (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0))))))))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl731])). 426.77/62.84 thf('18', plain, 426.77/62.84 (~ 426.77/62.84 ( (((((e0) = (op @ e0 @ (op @ e0 @ e0)))) & 426.77/62.84 (((e0) != (op @ e0 @ (op @ e0 @ e0)))))))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl733, zip_derived_cl732])). 426.77/62.84 thf(zip_derived_cl1068, plain, 426.77/62.84 ((((op @ e4 @ e0) = (e3))) <= ((((op @ e4 @ e0) = (e3))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.84 thf(zip_derived_cl709, plain, 426.77/62.84 (( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0)))))) 426.77/62.84 <= (( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0)))))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl704])). 426.77/62.84 thf(zip_derived_cl3204, plain, 426.77/62.84 (( (((e4) = (op @ e0 @ (op @ e4 @ e0))))) 426.77/62.84 <= (( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0)))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl709])). 426.77/62.84 thf(zip_derived_cl3207, plain, 426.77/62.84 ((((e4) = (op @ e0 @ (op @ e4 @ e0)))) 426.77/62.84 <= (( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0)))))))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl3204])). 426.77/62.84 thf(zip_derived_cl5609, plain, 426.77/62.84 ((((e4) = (op @ e0 @ e3))) 426.77/62.84 <= (( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0)))))) & 426.77/62.84 (((op @ e4 @ e0) = (e3))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1068, zip_derived_cl3207])). 426.77/62.84 thf(zip_derived_cl1040, plain, 426.77/62.84 ((((op @ e3 @ e3) = (e4))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.84 thf(zip_derived_cl75, plain, ( (((op @ e3 @ e3) != (op @ e0 @ e3)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl235, plain, (((op @ e3 @ e3) != (op @ e0 @ e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl75])). 426.77/62.84 thf(zip_derived_cl1160, plain, 426.77/62.84 ((((e4) != (op @ e0 @ e3))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1040, zip_derived_cl235])). 426.77/62.84 thf(zip_derived_cl5697, plain, 426.77/62.84 ((((e4) != (e4))) 426.77/62.84 <= (( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0)))))) & 426.77/62.84 (((op @ e3 @ e3) = (e4))) & 426.77/62.84 (((op @ e4 @ e0) = (e3))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl5609, zip_derived_cl1160])). 426.77/62.84 thf('19', plain, 426.77/62.84 (~ 426.77/62.84 ( (((((e4) = (op @ e0 @ (op @ e4 @ e0)))) & 426.77/62.84 (((op @ e4 @ (op @ e4 @ e0)) != (e0)))))) | 426.77/62.84 ~ (((op @ e4 @ e0) = (e3))) | ~ (((op @ e3 @ e3) = (e4)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl5697])). 426.77/62.84 thf(zip_derived_cl1068, plain, 426.77/62.84 ((((op @ e4 @ e0) = (e3))) <= ((((op @ e4 @ e0) = (e3))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.84 thf(zip_derived_cl1066, plain, 426.77/62.84 ((((e1) = (op @ e4 @ e0))) <= ((((e1) = (op @ e4 @ e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.84 thf(zip_derived_cl1256, plain, 426.77/62.84 ((((e1) = (e3))) 426.77/62.84 <= ((((e1) = (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e3))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1068, zip_derived_cl1066])). 426.77/62.84 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.84 thf('20', plain, (~ (((e1) = (op @ e4 @ e0))) | ~ (((op @ e4 @ e0) = (e3)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl1256, zip_derived_cl49])). 426.77/62.84 thf(zip_derived_cl698, plain, 426.77/62.84 ( (((((e3) = (op @ e1 @ e0))) | (((op @ e3 @ e0) = (e3))) | 426.77/62.84 (((e3) = (op @ e4 @ e0))) | ($false) | (((e3) = (op @ e0 @ e0)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.84 thf(zip_derived_cl2985, plain, 426.77/62.84 (( (((e3) = (op @ e1 @ e0))) 426.77/62.84 | (((op @ e3 @ e0) = (e3))) 426.77/62.84 | (((e3) = (op @ e4 @ e0))) 426.77/62.84 | (((e3) = (op @ e0 @ e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl698])). 426.77/62.84 thf(zip_derived_cl2986, plain, 426.77/62.84 ((((e3) = (op @ e1 @ e0)) 426.77/62.84 | ((op @ e3 @ e0) = (e3)) 426.77/62.84 | ((e3) = (op @ e4 @ e0)) 426.77/62.84 | ((e3) = (op @ e0 @ e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl2985])). 426.77/62.84 thf('21', plain, 426.77/62.84 ((((e3) = (op @ e3 @ e0))) | (((op @ e4 @ e0) = (e3))) | 426.77/62.84 (((e3) = (op @ e1 @ e0))) | (((op @ e0 @ e0) = (e3)))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl2986])). 426.77/62.84 thf(zip_derived_cl581, plain, 426.77/62.84 ( (((((op @ e0 @ e0) = (e1))) | (((op @ e0 @ e0) = (e2))) | 426.77/62.84 (((e4) = (op @ e0 @ e0))) | (((op @ e0 @ e0) = (e3))) | 426.77/62.84 (((e0) = (op @ e0 @ e0)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1501, plain, 426.77/62.84 (( (((op @ e0 @ e0) = (e1))) 426.77/62.84 | (((op @ e0 @ e0) = (e2))) 426.77/62.84 | (((e4) = (op @ e0 @ e0))) 426.77/62.84 | (((op @ e0 @ e0) = (e3))) 426.77/62.84 | (((e0) = (op @ e0 @ e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl581])). 426.77/62.84 thf(zip_derived_cl1502, plain, 426.77/62.84 ((((op @ e0 @ e0) = (e1)) 426.77/62.84 | ((op @ e0 @ e0) = (e2)) 426.77/62.84 | ((e4) = (op @ e0 @ e0)) 426.77/62.84 | ((op @ e0 @ e0) = (e3)) 426.77/62.84 | ((e0) = (op @ e0 @ e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1501])). 426.77/62.84 thf(zip_derived_cl1507, plain, 426.77/62.84 ((((e4) = (op @ e0 @ e0))) <= ((((e4) = (op @ e0 @ e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1502])). 426.77/62.84 thf(zip_derived_cl1505, plain, 426.77/62.84 ((((op @ e0 @ e0) = (e3))) <= ((((op @ e0 @ e0) = (e3))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1502])). 426.77/62.84 thf(zip_derived_cl2571, plain, 426.77/62.84 ((((e4) = (e3))) 426.77/62.84 <= ((((op @ e0 @ e0) = (e3))) & (((e4) = (op @ e0 @ e0))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1507, zip_derived_cl1505])). 426.77/62.84 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.84 thf('22', plain, (~ (((op @ e0 @ e0) = (e3))) | ~ (((e4) = (op @ e0 @ e0)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2571, zip_derived_cl52])). 426.77/62.84 thf(zip_derived_cl1507, plain, 426.77/62.84 ((((e4) = (op @ e0 @ e0))) <= ((((e4) = (op @ e0 @ e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1502])). 426.77/62.84 thf(zip_derived_cl1503, plain, 426.77/62.84 ((((op @ e0 @ e0) = (e1))) <= ((((op @ e0 @ e0) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1502])). 426.77/62.84 thf(zip_derived_cl2569, plain, 426.77/62.84 ((((e4) = (e1))) 426.77/62.84 <= ((((op @ e0 @ e0) = (e1))) & (((e4) = (op @ e0 @ e0))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1507, zip_derived_cl1503])). 426.77/62.84 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.84 thf('23', plain, (~ (((op @ e0 @ e0) = (e1))) | ~ (((e4) = (op @ e0 @ e0)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2569, zip_derived_cl50])). 426.77/62.84 thf(zip_derived_cl998, plain, 426.77/62.84 ((((e0) = (op @ e3 @ e2))) <= ((((e0) = (op @ e3 @ e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.84 thf(zip_derived_cl562, plain, 426.77/62.84 ( ((($false) | (((e3) = (op @ e3 @ e0))) | (((op @ e3 @ e0) = (e4))) | 426.77/62.84 (((op @ e3 @ e0) = (e2))) | (((e0) = (op @ e3 @ e0)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl944, plain, 426.77/62.84 (( (((e3) = (op @ e3 @ e0))) 426.77/62.84 | (((op @ e3 @ e0) = (e4))) 426.77/62.84 | (((op @ e3 @ e0) = (e2))) 426.77/62.84 | (((e0) = (op @ e3 @ e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl562])). 426.77/62.84 thf(zip_derived_cl945, plain, 426.77/62.84 ((((e3) = (op @ e3 @ e0)) 426.77/62.84 | ((op @ e3 @ e0) = (e4)) 426.77/62.84 | ((op @ e3 @ e0) = (e2)) 426.77/62.84 | ((e0) = (op @ e3 @ e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl944])). 426.77/62.84 thf(zip_derived_cl946, plain, 426.77/62.84 ((((op @ e3 @ e0) = (e2))) <= ((((op @ e3 @ e0) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl945])). 426.77/62.84 thf(zip_derived_cl708, plain, 426.77/62.84 (( (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0))))))) 426.77/62.84 <= (( (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0))))))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl704])). 426.77/62.84 thf(zip_derived_cl794, plain, 426.77/62.84 (( (((e0) != (op @ e3 @ (op @ e3 @ e0))))) 426.77/62.84 <= (( (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0))))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl708])). 426.77/62.84 thf(zip_derived_cl797, plain, 426.77/62.84 ((((e0) != (op @ e3 @ (op @ e3 @ e0)))) 426.77/62.84 <= (( (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0))))))))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl794])). 426.77/62.84 thf(zip_derived_cl977, plain, 426.77/62.84 ((((e0) != (op @ e3 @ e2))) 426.77/62.84 <= (( (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0))))))) & 426.77/62.84 (((op @ e3 @ e0) = (e2))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl946, zip_derived_cl797])). 426.77/62.84 thf(zip_derived_cl1077, plain, 426.77/62.84 ((((e0) != (e0))) 426.77/62.84 <= (( (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0))))))) & 426.77/62.84 (((op @ e3 @ e0) = (e2))) & 426.77/62.84 (((e0) = (op @ e3 @ e2))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl998, zip_derived_cl977])). 426.77/62.84 thf('24', plain, 426.77/62.84 (~ 426.77/62.84 ( (((((e0) != (op @ e3 @ (op @ e3 @ e0)))) & 426.77/62.84 (((e3) = (op @ e0 @ (op @ e3 @ e0))))))) | 426.77/62.84 ~ (((op @ e3 @ e0) = (e2))) | ~ (((e0) = (op @ e3 @ e2)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl1077])). 426.77/62.84 thf(zip_derived_cl697, plain, 426.77/62.84 ( (((((e4) = (op @ e0 @ e0))) | (((e4) = (op @ e0 @ e1))) | ($false) | 426.77/62.84 (((e4) = (op @ e0 @ e4))) | (((op @ e0 @ e3) = (e4)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.84 thf(zip_derived_cl2950, plain, 426.77/62.84 (( (((e4) = (op @ e0 @ e0))) 426.77/62.84 | (((e4) = (op @ e0 @ e1))) 426.77/62.84 | (((e4) = (op @ e0 @ e4))) 426.77/62.84 | (((op @ e0 @ e3) = (e4))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl697])). 426.77/62.84 thf(zip_derived_cl2951, plain, 426.77/62.84 ((((e4) = (op @ e0 @ e0)) 426.77/62.84 | ((e4) = (op @ e0 @ e1)) 426.77/62.84 | ((e4) = (op @ e0 @ e4)) 426.77/62.84 | ((op @ e0 @ e3) = (e4)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl2950])). 426.77/62.84 thf('25', plain, 426.77/62.84 ((((op @ e0 @ e4) = (e4))) | (((e4) = (op @ e0 @ e0))) | 426.77/62.84 (((op @ e0 @ e3) = (e4))) | (((op @ e0 @ e1) = (e4)))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl2951])). 426.77/62.84 thf(zip_derived_cl687, plain, 426.77/62.84 ( (((((op @ e3 @ e0) = (e0))) | (((e0) = (op @ e3 @ e1))) | 426.77/62.84 (((op @ e3 @ e2) = (e0))) | (((op @ e3 @ e3) = (e0))) | ($false)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.84 thf(zip_derived_cl2646, plain, 426.77/62.84 (( (((op @ e3 @ e0) = (e0))) 426.77/62.84 | (((e0) = (op @ e3 @ e1))) 426.77/62.84 | (((op @ e3 @ e2) = (e0))) 426.77/62.84 | (((op @ e3 @ e3) = (e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl687])). 426.77/62.84 thf(zip_derived_cl2647, plain, 426.77/62.84 ((((op @ e3 @ e0) = (e0)) 426.77/62.84 | ((e0) = (op @ e3 @ e1)) 426.77/62.84 | ((op @ e3 @ e2) = (e0)) 426.77/62.84 | ((op @ e3 @ e3) = (e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl2646])). 426.77/62.84 thf('26', plain, 426.77/62.84 ((((e0) = (op @ e3 @ e2))) | (((op @ e3 @ e1) = (e0))) | 426.77/62.84 (((op @ e3 @ e3) = (e0))) | (((e0) = (op @ e3 @ e0)))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl2647])). 426.77/62.84 thf(zip_derived_cl1538, plain, ((((unit) = (e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.84 thf(zip_derived_cl362, plain, (((e2) = (op @ unit @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl359])). 426.77/62.84 thf(zip_derived_cl1544, plain, 426.77/62.84 ((((e2) = (op @ e1 @ e2))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl362])). 426.77/62.84 thf(zip_derived_cl996, plain, 426.77/62.84 ((((op @ e3 @ e2) = (e2))) <= ((((op @ e3 @ e2) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.84 thf(zip_derived_cl145, plain, ( (((op @ e1 @ e2) != (op @ e3 @ e2)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl168, plain, (((op @ e1 @ e2) != (op @ e3 @ e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl145])). 426.77/62.84 thf(zip_derived_cl1042, plain, 426.77/62.84 ((((op @ e1 @ e2) != (e2))) <= ((((op @ e3 @ e2) = (e2))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl996, zip_derived_cl168])). 426.77/62.84 thf(zip_derived_cl4898, plain, 426.77/62.84 ((((e2) != (e2))) <= ((((op @ e3 @ e2) = (e2))) & (((unit) = (e1))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1544, zip_derived_cl1042])). 426.77/62.84 thf('27', plain, (~ (((op @ e3 @ e2) = (e2))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl4898])). 426.77/62.84 thf(zip_derived_cl1543, plain, 426.77/62.84 ((((e0) = (op @ e1 @ e0))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl361])). 426.77/62.84 thf(zip_derived_cl949, plain, 426.77/62.84 ((((e0) = (op @ e3 @ e0))) <= ((((e0) = (op @ e3 @ e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl945])). 426.77/62.84 thf(zip_derived_cl59, plain, ( (((op @ e1 @ e0) != (op @ e3 @ e0)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl251, plain, (((op @ e1 @ e0) != (op @ e3 @ e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl59])). 426.77/62.84 thf(zip_derived_cl1017, plain, 426.77/62.84 ((((op @ e1 @ e0) != (e0))) <= ((((e0) = (op @ e3 @ e0))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl949, zip_derived_cl251])). 426.77/62.84 thf(zip_derived_cl4873, plain, 426.77/62.84 ((((e0) != (e0))) <= ((((e0) = (op @ e3 @ e0))) & (((unit) = (e1))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1543, zip_derived_cl1017])). 426.77/62.84 thf('28', plain, (~ (((e0) = (op @ e3 @ e0))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl4873])). 426.77/62.84 thf(zip_derived_cl1546, plain, 426.77/62.84 ((((op @ e3 @ e1) = (e3))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl364])). 426.77/62.84 thf(zip_derived_cl948, plain, 426.77/62.84 ((((e3) = (op @ e3 @ e0))) <= ((((e3) = (op @ e3 @ e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl945])). 426.77/62.84 thf(zip_derived_cl119, plain, ( (((op @ e3 @ e0) != (op @ e3 @ e1)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl192, plain, (((op @ e3 @ e0) != (op @ e3 @ e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl119])). 426.77/62.84 thf(zip_derived_cl1000, plain, 426.77/62.84 ((((e3) != (op @ e3 @ e1))) <= ((((e3) = (op @ e3 @ e0))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl948, zip_derived_cl192])). 426.77/62.84 thf(zip_derived_cl4794, plain, 426.77/62.84 ((((e3) != (e3))) <= ((((e3) = (op @ e3 @ e0))) & (((unit) = (e1))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1546, zip_derived_cl1000])). 426.77/62.84 thf('29', plain, (~ (((e3) = (op @ e3 @ e0))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl4794])). 426.77/62.84 thf(zip_derived_cl1538, plain, ((((unit) = (e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.84 thf(zip_derived_cl365, plain, (((op @ unit @ e4) = (e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl356])). 426.77/62.84 thf(zip_derived_cl1547, plain, 426.77/62.84 ((((op @ e1 @ e4) = (e4))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl365])). 426.77/62.84 thf(zip_derived_cl577, plain, 426.77/62.84 ( ((($false) | ($false) | (((op @ e0 @ e4) = (e2))) | ($false) | 426.77/62.84 (((op @ e0 @ e4) = (e4)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl813, plain, 426.77/62.84 (( (((op @ e0 @ e4) = (e2))) | (((op @ e0 @ e4) = (e4))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl577])). 426.77/62.84 thf(zip_derived_cl814, plain, 426.77/62.84 ((((op @ e0 @ e4) = (e2)) | ((op @ e0 @ e4) = (e4)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl813])). 426.77/62.84 thf(zip_derived_cl816, plain, 426.77/62.84 ((((op @ e0 @ e4) = (e4))) <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl814])). 426.77/62.84 thf(zip_derived_cl80, plain, ( (((op @ e1 @ e4) != (op @ e0 @ e4)))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.84 thf(zip_derived_cl230, plain, (((op @ e1 @ e4) != (op @ e0 @ e4))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl80])). 426.77/62.84 thf(zip_derived_cl844, plain, 426.77/62.84 ((((op @ e1 @ e4) != (e4))) <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl816, zip_derived_cl230])). 426.77/62.84 thf(zip_derived_cl4406, plain, 426.77/62.84 ((((e4) != (e4))) <= ((((op @ e0 @ e4) = (e4))) & (((unit) = (e1))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1547, zip_derived_cl844])). 426.77/62.84 thf('30', plain, (~ (((op @ e0 @ e4) = (e4))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl4406])). 426.77/62.84 thf(zip_derived_cl1538, plain, ((((unit) = (e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.84 thf(zip_derived_cl370, plain, (((e0) = (op @ e0 @ unit))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl350])). 426.77/62.84 thf(zip_derived_cl1552, plain, 426.77/62.84 ((((e0) = (op @ e0 @ e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl370])). 426.77/62.84 thf(zip_derived_cl580, plain, 426.77/62.84 ( (((((e0) = (op @ e0 @ e1))) | (((e2) = (op @ e0 @ e1))) | 426.77/62.84 (((op @ e0 @ e1) = (e3))) | (((op @ e0 @ e1) = (e4))) | 426.77/62.84 (((op @ e0 @ e1) = (e1)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1479, plain, 426.77/62.84 (( (((e0) = (op @ e0 @ e1))) 426.77/62.84 | (((e2) = (op @ e0 @ e1))) 426.77/62.84 | (((op @ e0 @ e1) = (e3))) 426.77/62.84 | (((op @ e0 @ e1) = (e4))) 426.77/62.84 | (((op @ e0 @ e1) = (e1))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl580])). 426.77/62.84 thf(zip_derived_cl1480, plain, 426.77/62.84 ((((e0) = (op @ e0 @ e1)) 426.77/62.84 | ((e2) = (op @ e0 @ e1)) 426.77/62.84 | ((op @ e0 @ e1) = (e3)) 426.77/62.84 | ((op @ e0 @ e1) = (e4)) 426.77/62.84 | ((op @ e0 @ e1) = (e1)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1479])). 426.77/62.84 thf(zip_derived_cl1483, plain, 426.77/62.84 ((((op @ e0 @ e1) = (e4))) <= ((((op @ e0 @ e1) = (e4))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.84 thf(zip_derived_cl2925, plain, 426.77/62.84 ((((e0) = (e4))) <= ((((op @ e0 @ e1) = (e4))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1552, zip_derived_cl1483])). 426.77/62.84 thf(zip_derived_cl47, plain, (((e4) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 426.77/62.84 thf('31', plain, (~ (((op @ e0 @ e1) = (e4))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2925, zip_derived_cl47])). 426.77/62.84 thf(zip_derived_cl1550, plain, 426.77/62.84 ((((e1) = (op @ e1 @ e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl368])). 426.77/62.84 thf(zip_derived_cl865, plain, 426.77/62.84 ((((op @ e1 @ e1) = (e0))) <= ((((op @ e1 @ e1) = (e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl862])). 426.77/62.84 thf(zip_derived_cl2854, plain, 426.77/62.84 ((((e1) = (e0))) <= ((((op @ e1 @ e1) = (e0))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1550, zip_derived_cl865])). 426.77/62.84 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.84 thf('32', plain, (~ (((op @ e1 @ e1) = (e0))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2854, zip_derived_cl45])). 426.77/62.84 thf(zip_derived_cl1538, plain, ((((unit) = (e1))) <= ((((unit) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.84 thf(zip_derived_cl367, plain, (((op @ e2 @ unit) = (e2))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl353])). 426.77/62.84 thf(zip_derived_cl1549, plain, 426.77/62.84 ((((op @ e2 @ e1) = (e2))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl367])). 426.77/62.84 thf(zip_derived_cl559, plain, 426.77/62.84 ( (((((op @ e2 @ e1) = (e2))) | ($false) | ($false) | 426.77/62.84 (((op @ e2 @ e1) = (e1))) | (((op @ e2 @ e1) = (e0)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl899, plain, 426.77/62.84 (( (((op @ e2 @ e1) = (e2))) 426.77/62.84 | (((op @ e2 @ e1) = (e1))) 426.77/62.84 | (((op @ e2 @ e1) = (e0))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl559])). 426.77/62.84 thf(zip_derived_cl900, plain, 426.77/62.84 ((((op @ e2 @ e1) = (e2)) 426.77/62.84 | ((op @ e2 @ e1) = (e1)) 426.77/62.84 | ((op @ e2 @ e1) = (e0)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl899])). 426.77/62.84 thf(zip_derived_cl903, plain, 426.77/62.84 ((((op @ e2 @ e1) = (e0))) <= ((((op @ e2 @ e1) = (e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl900])). 426.77/62.84 thf(zip_derived_cl2797, plain, 426.77/62.84 ((((e2) = (e0))) <= ((((op @ e2 @ e1) = (e0))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1549, zip_derived_cl903])). 426.77/62.84 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.84 thf('33', plain, (~ (((op @ e2 @ e1) = (e0))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2797, zip_derived_cl46])). 426.77/62.84 thf(zip_derived_cl1546, plain, 426.77/62.84 ((((op @ e3 @ e1) = (e3))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl364])). 426.77/62.84 thf(zip_derived_cl1196, plain, 426.77/62.84 ((((op @ e3 @ e1) = (e0))) <= ((((op @ e3 @ e1) = (e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.84 thf(zip_derived_cl2702, plain, 426.77/62.84 ((((e3) = (e0))) <= ((((op @ e3 @ e1) = (e0))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1546, zip_derived_cl1196])). 426.77/62.84 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.84 thf('34', plain, (~ (((op @ e3 @ e1) = (e0))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2702, zip_derived_cl54])). 426.77/62.84 thf(zip_derived_cl1546, plain, 426.77/62.84 ((((op @ e3 @ e1) = (e3))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl364])). 426.77/62.84 thf(zip_derived_cl1194, plain, 426.77/62.84 ((((op @ e3 @ e1) = (e2))) <= ((((op @ e3 @ e1) = (e2))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.84 thf(zip_derived_cl2701, plain, 426.77/62.84 ((((e3) = (e2))) <= ((((op @ e3 @ e1) = (e2))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1546, zip_derived_cl1194])). 426.77/62.84 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.84 thf('35', plain, (~ (((op @ e3 @ e1) = (e2))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2701, zip_derived_cl53])). 426.77/62.84 thf(zip_derived_cl1543, plain, 426.77/62.84 ((((e0) = (op @ e1 @ e0))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl361])). 426.77/62.84 thf(zip_derived_cl1359, plain, 426.77/62.84 ((((e3) = (op @ e1 @ e0))) <= ((((e3) = (op @ e1 @ e0))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1355])). 426.77/62.84 thf(zip_derived_cl2600, plain, 426.77/62.84 ((((e3) = (e0))) <= ((((e3) = (op @ e1 @ e0))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1543, zip_derived_cl1359])). 426.77/62.84 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.84 thf('36', plain, (~ (((e3) = (op @ e1 @ e0))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2600, zip_derived_cl54])). 426.77/62.84 thf(zip_derived_cl1543, plain, 426.77/62.84 ((((e0) = (op @ e1 @ e0))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl361])). 426.77/62.84 thf(zip_derived_cl1356, plain, 426.77/62.84 ((((op @ e1 @ e0) = (e1))) <= ((((op @ e1 @ e0) = (e1))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1355])). 426.77/62.84 thf(zip_derived_cl2598, plain, 426.77/62.84 ((((e0) = (e1))) <= ((((op @ e1 @ e0) = (e1))) & (((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1543, zip_derived_cl1356])). 426.77/62.84 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.84 thf('37', plain, (~ (((op @ e1 @ e0) = (e1))) | ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify_reflect-', [status(thm)], 426.77/62.84 [zip_derived_cl2598, zip_derived_cl45])). 426.77/62.84 thf(zip_derived_cl1543, plain, 426.77/62.84 ((((e0) = (op @ e1 @ e0))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl361])). 426.77/62.84 thf(zip_derived_cl706, plain, 426.77/62.84 (( (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1)))))) 426.77/62.84 <= (( (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1)))))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl704])). 426.77/62.84 thf(zip_derived_cl735, plain, 426.77/62.84 (( (((e0) != (op @ e1 @ (op @ e1 @ e0))))) 426.77/62.84 <= (( (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1)))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl706])). 426.77/62.84 thf(zip_derived_cl738, plain, 426.77/62.84 ((((e0) != (op @ e1 @ (op @ e1 @ e0)))) 426.77/62.84 <= (( (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1)))))))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl735])). 426.77/62.84 thf(zip_derived_cl2597, plain, 426.77/62.84 ((((e0) != (op @ e1 @ e0))) 426.77/62.84 <= (( (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1)))))) & 426.77/62.84 (((unit) = (e1))))), 426.77/62.84 inference('sup-', [status(thm)], [zip_derived_cl1543, zip_derived_cl738])). 426.77/62.84 thf(zip_derived_cl1543, plain, 426.77/62.84 ((((e0) = (op @ e1 @ e0))) <= ((((unit) = (e1))))), 426.77/62.84 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl361])). 426.77/62.84 thf(zip_derived_cl2604, plain, 426.77/62.84 ((((e0) != (e0))) 426.77/62.84 <= (( (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1)))))) & 426.77/62.84 (((unit) = (e1))))), 426.77/62.84 inference('demod', [status(thm)], 426.77/62.84 [zip_derived_cl2597, zip_derived_cl1543])). 426.77/62.84 thf('38', plain, 426.77/62.84 (~ 426.77/62.84 ( (((((e0) != (op @ e1 @ (op @ e1 @ e0)))) & 426.77/62.84 (((op @ e0 @ (op @ e1 @ e0)) = (e1)))))) | 426.77/62.84 ~ (((unit) = (e1)))), 426.77/62.84 inference('simplify', [status(thm)], [zip_derived_cl2604])). 426.77/62.84 thf(zip_derived_cl578, plain, 426.77/62.84 ( (((((e0) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e1))) | 426.77/62.84 (((e3) = (op @ e0 @ e3))) | (((op @ e0 @ e3) = (e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e2)))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.84 thf(zip_derived_cl1394, plain, 426.77/62.84 (( (((e0) = (op @ e0 @ e3))) 426.77/62.84 | (((op @ e0 @ e3) = (e1))) 426.77/62.84 | (((e3) = (op @ e0 @ e3))) 426.77/62.84 | (((op @ e0 @ e3) = (e4))) 426.77/62.84 | (((op @ e0 @ e3) = (e2))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl578])). 426.77/62.84 thf(zip_derived_cl1395, plain, 426.77/62.84 ((((e0) = (op @ e0 @ e3)) 426.77/62.84 | ((op @ e0 @ e3) = (e1)) 426.77/62.84 | ((e3) = (op @ e0 @ e3)) 426.77/62.84 | ((op @ e0 @ e3) = (e4)) 426.77/62.84 | ((op @ e0 @ e3) = (e2)))), 426.77/62.84 inference('simplify nested equalities', [status(thm)], 426.77/62.84 [zip_derived_cl1394])). 426.77/62.84 thf('39', plain, 426.77/62.84 ((((e3) = (op @ e0 @ e3))) | (((e0) = (op @ e0 @ e3))) | 426.77/62.84 (((op @ e0 @ e3) = (e2))) | (((op @ e0 @ e3) = (e4))) | 426.77/62.84 (((op @ e0 @ e3) = (e1)))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.84 thf(zip_derived_cl415, plain, 426.77/62.84 ( (((((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.84 (((op @ (op @ e0 @ e1) @ e0) != (e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e2 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.84 (((e4) != (op @ (op @ e0 @ e4) @ e0))))) | 426.77/62.84 (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.84 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e1))))) | 426.77/62.84 (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.84 (((e2) != (op @ (op @ e1 @ e2) @ e1))))) | 426.77/62.84 (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e3) = (e1))))) | 426.77/62.84 (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.84 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.84 (((op @ (op @ e1 @ e4) @ e1) != (e4))))) | 426.77/62.84 (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e0) @ e0) = (e2))))) | 426.77/62.84 (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.84 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e2 @ e1))))) | 426.77/62.84 (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.84 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e3 @ e1))))) | 426.77/62.84 (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.84 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e2))))) | 426.77/62.84 (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.84 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e3))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & 426.77/62.84 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e2) @ e2))))) | 426.77/62.84 (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.84 (((e0) != (e0))))) | 426.77/62.84 (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.84 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & (((e1) != (op @ e4 @ e3))))) | 426.77/62.84 (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.84 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e4 @ e1))))) | 426.77/62.84 (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e0) @ e0))))) | 426.77/62.84 (((((op @ e4 @ e3) != (e1))) & ($false) & (((op @ e1 @ e3) != (e4))))) | 426.77/62.84 (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.84 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e4 @ e2) != (e3))) & ($true) & ($false))) | 426.77/62.84 (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e2) != (e3))))) | 426.77/62.84 (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.84 (((e4) != (e4))))) | 426.77/62.84 (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.84 (((e1) != (op @ (op @ e1 @ e1) @ e1))))) | 426.77/62.84 (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) | 426.77/62.84 (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.84 (((e0) != (op @ (op @ e0 @ e0) @ e0)))))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl412])). 426.77/62.84 thf(zip_derived_cl739, plain, 426.77/62.84 (( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.84 (((op @ (op @ e0 @ e1) @ e0) != (e1))))) 426.77/62.84 | (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.84 (((op @ e0 @ e2) != (op @ e2 @ e0))))) 426.77/62.84 | (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.84 (((e4) != (op @ (op @ e0 @ e4) @ e0))))) 426.77/62.84 | (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.84 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.84 (((op @ e1 @ e0) != (op @ e0 @ e1))))) 426.77/62.84 | (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.84 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.84 (((e2) != (op @ (op @ e1 @ e2) @ e1))))) 426.77/62.84 | (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.84 (((op @ (op @ e1 @ e3) @ e3) = (e1))))) 426.77/62.84 | (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.84 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.84 (((op @ (op @ e1 @ e4) @ e1) != (e4))))) 426.77/62.84 | (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.84 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.84 (((op @ (op @ e2 @ e0) @ e0) = (e2))))) 426.77/62.84 | (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.84 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.84 (((op @ e1 @ e2) != (op @ e2 @ e1))))) 426.77/62.84 | (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.84 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.84 (((op @ e1 @ e3) != (op @ e3 @ e1))))) 426.77/62.84 | (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.84 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.84 (((op @ e2 @ e3) != (op @ e3 @ e2))))) 426.77/62.84 | (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.84 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.84 (((op @ e3 @ e3) != (op @ e3 @ e3))))) 426.77/62.84 | (((((op @ e4 @ e2) != (e3))) & 426.77/62.84 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e2) @ e2))))) 426.77/62.84 | (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.84 (((e0) != (e0))))) 426.77/62.84 | (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.84 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.84 (((e1) != (op @ e4 @ e3))))) 426.77/62.84 | (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.84 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.84 (((op @ e1 @ e4) != (op @ e4 @ e1))))) 426.77/62.84 | (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.84 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.84 (((e4) = (op @ (op @ e4 @ e0) @ e0))))) 426.77/62.84 | (((((op @ e4 @ e3) != (e1))) & ($false) & (((op @ e1 @ e3) != (e4))))) 426.77/62.84 | (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.84 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) 426.77/62.84 | (((((op @ e4 @ e2) != (e3))) & ($true) & ($false))) 426.77/62.84 | (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.84 (((op @ (op @ e2 @ e3) @ e2) != (e3))))) 426.77/62.84 | (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.84 (((e4) != (e4))))) 426.77/62.84 | (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.84 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.84 (((e1) != (op @ (op @ e1 @ e1) @ e1))))) 426.77/62.84 | (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.84 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.84 (((op @ e0 @ e3) != (op @ e3 @ e0))))) 426.77/62.84 | (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.84 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.84 (((e0) != (op @ (op @ e0 @ e0) @ e0))))))), 426.77/62.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl415])). 426.77/62.84 thf(zip_derived_cl740, plain, 426.77/62.84 (( (((((op @ e4 @ e2) != (e3))) & ($true) & ($false)))) 426.77/62.84 <= (( (((((op @ e4 @ e2) != (e3))) & ($true) & ($false)))))), 426.77/62.84 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.84 thf('40', plain, (~ ( (((((op @ e4 @ e2) != (e3))) & ($true) & ($false))))), 426.77/62.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl740])). 426.77/62.85 thf(zip_derived_cl741, plain, 426.77/62.85 (( (((((op @ e4 @ e3) != (e1))) & ($false) & (((op @ e1 @ e3) != (e4)))))) 426.77/62.85 <= (( (((((op @ e4 @ e3) != (e1))) & ($false) & 426.77/62.85 (((op @ e1 @ e3) != (e4)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf('41', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e4 @ e3) != (e1))) & ($false) & (((op @ e1 @ e3) != (e4))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl741])). 426.77/62.85 thf(zip_derived_cl742, plain, 426.77/62.85 (( (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.85 (((e4) != (e4)))))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.85 (((e4) != (e4)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3407, plain, 426.77/62.85 (( (((e4) != (e4)))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.85 (((e4) != (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl742])). 426.77/62.85 thf(zip_derived_cl3408, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.85 (((e4) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3407])). 426.77/62.85 thf('42', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.85 (((e4) != (e4))))))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl3408])). 426.77/62.85 thf(zip_derived_cl744, plain, 426.77/62.85 (( (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.85 (((e0) != (e0)))))) 426.77/62.85 <= (( (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.85 (((e0) != (e0)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3442, plain, 426.77/62.85 (( (((e0) != (e0)))) 426.77/62.85 <= (( (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.85 (((e0) != (e0)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl744])). 426.77/62.85 thf(zip_derived_cl3443, plain, 426.77/62.85 ((((e0) != (e0))) 426.77/62.85 <= (( (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.85 (((e0) != (e0)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3442])). 426.77/62.85 thf('43', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.85 (((e0) != (e0))))))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl3443])). 426.77/62.85 thf(zip_derived_cl746, plain, 426.77/62.85 (( (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.85 (((e0) != (op @ (op @ e0 @ e0) @ e0)))))) 426.77/62.85 <= (( (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.85 (((e0) != (op @ (op @ e0 @ e0) @ e0)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3483, plain, 426.77/62.85 (( (((op @ e0 @ e0) != (op @ e0 @ e0)))) 426.77/62.85 <= (( (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.85 (((e0) != (op @ (op @ e0 @ e0) @ e0)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl746])). 426.77/62.85 thf(zip_derived_cl3488, plain, 426.77/62.85 ((((op @ e0 @ e0) != (op @ e0 @ e0))) 426.77/62.85 <= (( (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.85 (((e0) != (op @ (op @ e0 @ e0) @ e0)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3483])). 426.77/62.85 thf('44', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.85 (((e0) != (op @ (op @ e0 @ e0) @ e0))))))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl3488])). 426.77/62.85 thf(zip_derived_cl748, plain, 426.77/62.85 (( (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.85 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.85 (((e1) != (op @ (op @ e1 @ e1) @ e1)))))) 426.77/62.85 <= (( (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.85 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.85 (((e1) != (op @ (op @ e1 @ e1) @ e1)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3549, plain, 426.77/62.85 (( (((op @ e1 @ e1) != (op @ e1 @ e1)))) 426.77/62.85 <= (( (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.85 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.85 (((e1) != (op @ (op @ e1 @ e1) @ e1)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl748])). 426.77/62.85 thf(zip_derived_cl3554, plain, 426.77/62.85 ((((op @ e1 @ e1) != (op @ e1 @ e1))) 426.77/62.85 <= (( (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.85 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.85 (((e1) != (op @ (op @ e1 @ e1) @ e1)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3549])). 426.77/62.85 thf('45', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.85 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.85 (((e1) != (op @ (op @ e1 @ e1) @ e1))))))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl3554])). 426.77/62.85 thf(zip_derived_cl753, plain, 426.77/62.85 (( (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.85 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.85 (((op @ e3 @ e3) != (op @ e3 @ e3)))))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.85 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.85 (((op @ e3 @ e3) != (op @ e3 @ e3)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3688, plain, 426.77/62.85 (( (((op @ e3 @ e3) != (op @ e3 @ e3)))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.85 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.85 (((op @ e3 @ e3) != (op @ e3 @ e3)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl753])). 426.77/62.85 thf(zip_derived_cl3689, plain, 426.77/62.85 ((((op @ e3 @ e3) != (op @ e3 @ e3))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.85 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.85 (((op @ e3 @ e3) != (op @ e3 @ e3)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3688])). 426.77/62.85 thf('46', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.85 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.85 (((op @ e3 @ e3) != (op @ e3 @ e3))))))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl3689])). 426.77/62.85 thf(zip_derived_cl1333, plain, 426.77/62.85 ((((op @ e1 @ e2) = (e3))) <= ((((op @ e1 @ e2) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.85 thf(zip_derived_cl760, plain, 426.77/62.85 (( (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.85 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.85 (((e2) != (op @ (op @ e1 @ e2) @ e1)))))) 426.77/62.85 <= (( (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.85 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.85 (((e2) != (op @ (op @ e1 @ e2) @ e1)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3878, plain, 426.77/62.85 (( (((op @ (op @ e1 @ e2) @ e2) = (e1)))) 426.77/62.85 <= (( (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.85 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.85 (((e2) != (op @ (op @ e1 @ e2) @ e1)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl760])). 426.77/62.85 thf(zip_derived_cl3881, plain, 426.77/62.85 ((((op @ (op @ e1 @ e2) @ e2) = (e1))) 426.77/62.85 <= (( (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.85 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.85 (((e2) != (op @ (op @ e1 @ e2) @ e1)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3878])). 426.77/62.85 thf(zip_derived_cl7999, plain, 426.77/62.85 ((((op @ e3 @ e2) = (e1))) 426.77/62.85 <= (( (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.85 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.85 (((e2) != (op @ (op @ e1 @ e2) @ e1)))))) & 426.77/62.85 (((op @ e1 @ e2) = (e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1333, zip_derived_cl3881])). 426.77/62.85 thf(zip_derived_cl197, plain, (((op @ e3 @ e2) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl114])). 426.77/62.85 thf('47', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.85 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.85 (((e2) != (op @ (op @ e1 @ e2) @ e1)))))) | 426.77/62.85 ~ (((op @ e1 @ e2) = (e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl7999, zip_derived_cl197])). 426.77/62.85 thf(zip_derived_cl1150, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e3))) <= ((((op @ e4 @ e1) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl752, plain, 426.77/62.85 (( (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.85 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.85 (((op @ e1 @ e4) != (op @ e4 @ e1)))))) 426.77/62.85 <= (( (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.85 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.85 (((op @ e1 @ e4) != (op @ e4 @ e1)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3657, plain, 426.77/62.85 (( (((e4) = (op @ (op @ e4 @ e1) @ e1)))) 426.77/62.85 <= (( (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.85 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.85 (((op @ e1 @ e4) != (op @ e4 @ e1)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl752])). 426.77/62.85 thf(zip_derived_cl3662, plain, 426.77/62.85 ((((e4) = (op @ (op @ e4 @ e1) @ e1))) 426.77/62.85 <= (( (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.85 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.85 (((op @ e1 @ e4) != (op @ e4 @ e1)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3657])). 426.77/62.85 thf(zip_derived_cl6945, plain, 426.77/62.85 ((((e4) = (op @ e3 @ e1))) 426.77/62.85 <= (( (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.85 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.85 (((op @ e1 @ e4) != (op @ e4 @ e1)))))) & 426.77/62.85 (((op @ e4 @ e1) = (e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1150, zip_derived_cl3662])). 426.77/62.85 thf(zip_derived_cl1040, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e4))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl101, plain, ( (((op @ e3 @ e1) != (op @ e3 @ e3)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl210, plain, (((op @ e3 @ e1) != (op @ e3 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl101])). 426.77/62.85 thf(zip_derived_cl1156, plain, 426.77/62.85 ((((op @ e3 @ e1) != (e4))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1040, zip_derived_cl210])). 426.77/62.85 thf(zip_derived_cl7019, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= (( (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.85 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.85 (((op @ e1 @ e4) != (op @ e4 @ e1)))))) & 426.77/62.85 (((op @ e3 @ e3) = (e4))) & 426.77/62.85 (((op @ e4 @ e1) = (e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl6945, zip_derived_cl1156])). 426.77/62.85 thf('48', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.85 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.85 (((op @ e1 @ e4) != (op @ e4 @ e1)))))) | 426.77/62.85 ~ (((op @ e4 @ e1) = (e3))) | ~ (((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl7019])). 426.77/62.85 thf('49', plain, 426.77/62.85 ((((op @ e4 @ e1) = (e4))) | (((op @ e4 @ e1) = (e3))) | 426.77/62.85 (((op @ e4 @ e1) = (e2))) | (((op @ e4 @ e1) = (e1)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl903, plain, 426.77/62.85 ((((op @ e2 @ e1) = (e0))) <= ((((op @ e2 @ e1) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl900])). 426.77/62.85 thf(zip_derived_cl756, plain, 426.77/62.85 (( (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.85 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.85 (((op @ e1 @ e2) != (op @ e2 @ e1)))))) 426.77/62.85 <= (( (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.85 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.85 (((op @ e1 @ e2) != (op @ e2 @ e1)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3747, plain, 426.77/62.85 (( (((e2) = (op @ (op @ e2 @ e1) @ e1)))) 426.77/62.85 <= (( (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.85 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.85 (((op @ e1 @ e2) != (op @ e2 @ e1)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl756])). 426.77/62.85 thf(zip_derived_cl3750, plain, 426.77/62.85 ((((e2) = (op @ (op @ e2 @ e1) @ e1))) 426.77/62.85 <= (( (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.85 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.85 (((op @ e1 @ e2) != (op @ e2 @ e1)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3747])). 426.77/62.85 thf(zip_derived_cl7307, plain, 426.77/62.85 ((((e2) = (op @ e0 @ e1))) 426.77/62.85 <= (( (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.85 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.85 (((op @ e1 @ e2) != (op @ e2 @ e1)))))) & 426.77/62.85 (((op @ e2 @ e1) = (e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl903, zip_derived_cl3750])). 426.77/62.85 thf(zip_derived_cl1481, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1))) <= ((((op @ e0 @ e1) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.85 thf(zip_derived_cl7384, plain, 426.77/62.85 ((((e2) = (e1))) 426.77/62.85 <= (( (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.85 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.85 (((op @ e1 @ e2) != (op @ e2 @ e1)))))) & 426.77/62.85 (((op @ e2 @ e1) = (e0))) & 426.77/62.85 (((op @ e0 @ e1) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl7307, zip_derived_cl1481])). 426.77/62.85 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.85 thf('50', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.85 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.85 (((op @ e1 @ e2) != (op @ e2 @ e1)))))) | 426.77/62.85 ~ (((op @ e2 @ e1) = (e0))) | ~ (((op @ e0 @ e1) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl7384, zip_derived_cl48])). 426.77/62.85 thf(zip_derived_cl592, plain, 426.77/62.85 ((((op @ e1 @ e4) = (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl1098, plain, 426.77/62.85 ((((e1) = (op @ e4 @ e2))) <= ((((e1) = (op @ e4 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.85 thf(zip_derived_cl745, plain, 426.77/62.85 (( (((((op @ e4 @ e2) != (e3))) & 426.77/62.85 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e2) @ e2)))))) 426.77/62.85 <= (( (((((op @ e4 @ e2) != (e3))) & 426.77/62.85 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e2) @ e2)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3452, plain, 426.77/62.85 (( (((op @ (op @ e4 @ e2) @ e4) != (e2)))) 426.77/62.85 <= (( (((((op @ e4 @ e2) != (e3))) & 426.77/62.85 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e2) @ e2)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl745])). 426.77/62.85 thf(zip_derived_cl3455, plain, 426.77/62.85 ((((op @ (op @ e4 @ e2) @ e4) != (e2))) 426.77/62.85 <= (( (((((op @ e4 @ e2) != (e3))) & 426.77/62.85 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e2) @ e2)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3452])). 426.77/62.85 thf(zip_derived_cl5453, plain, 426.77/62.85 ((((op @ e1 @ e4) != (e2))) 426.77/62.85 <= (( (((((op @ e4 @ e2) != (e3))) & 426.77/62.85 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e2) @ e2)))))) & 426.77/62.85 (((e1) = (op @ e4 @ e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1098, zip_derived_cl3455])). 426.77/62.85 thf(zip_derived_cl5459, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= ((((op @ e1 @ e4) = (e2))) & 426.77/62.85 ( (((((op @ e4 @ e2) != (e3))) & 426.77/62.85 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e2) @ e2)))))) & 426.77/62.85 (((e1) = (op @ e4 @ e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl5453])). 426.77/62.85 thf('51', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e4 @ e2) != (e3))) & 426.77/62.85 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e2) @ e2)))))) | 426.77/62.85 ~ (((e1) = (op @ e4 @ e2))) | ~ (((op @ e1 @ e4) = (e2)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl5459])). 426.77/62.85 thf(zip_derived_cl998, plain, 426.77/62.85 ((((e0) = (op @ e3 @ e2))) <= ((((e0) = (op @ e3 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.85 thf(zip_derived_cl754, plain, 426.77/62.85 (( (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.85 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.85 (((op @ e2 @ e3) != (op @ e3 @ e2)))))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.85 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.85 (((op @ e2 @ e3) != (op @ e3 @ e2)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3702, plain, 426.77/62.85 (( (((op @ (op @ e3 @ e2) @ e2) = (e3)))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.85 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.85 (((op @ e2 @ e3) != (op @ e3 @ e2)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl754])). 426.77/62.85 thf(zip_derived_cl3705, plain, 426.77/62.85 ((((op @ (op @ e3 @ e2) @ e2) = (e3))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.85 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.85 (((op @ e2 @ e3) != (op @ e3 @ e2)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3702])). 426.77/62.85 thf(zip_derived_cl7059, plain, 426.77/62.85 ((((op @ e0 @ e2) = (e3))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.85 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.85 (((op @ e2 @ e3) != (op @ e3 @ e2)))))) & 426.77/62.85 (((e0) = (op @ e3 @ e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl998, zip_derived_cl3705])). 426.77/62.85 thf(zip_derived_cl1457, plain, 426.77/62.85 ((((op @ e0 @ e2) = (e2))) <= ((((op @ e0 @ e2) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.85 thf(zip_derived_cl7107, plain, 426.77/62.85 ((((e3) = (e2))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.85 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.85 (((op @ e2 @ e3) != (op @ e3 @ e2)))))) & 426.77/62.85 (((e0) = (op @ e3 @ e2))) & 426.77/62.85 (((op @ e0 @ e2) = (e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl7059, zip_derived_cl1457])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('52', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.85 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.85 (((op @ e2 @ e3) != (op @ e3 @ e2)))))) | 426.77/62.85 ~ (((op @ e0 @ e2) = (e2))) | ~ (((e0) = (op @ e3 @ e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl7107, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1151, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e4))) <= ((((op @ e4 @ e1) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl1069, plain, 426.77/62.85 ((((op @ e4 @ e0) = (e4))) <= ((((op @ e4 @ e0) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.85 thf(zip_derived_cl104, plain, ( (((op @ e4 @ e0) != (op @ e4 @ e1)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl207, plain, (((op @ e4 @ e0) != (op @ e4 @ e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl104])). 426.77/62.85 thf(zip_derived_cl1274, plain, 426.77/62.85 ((((e4) != (op @ e4 @ e1))) <= ((((op @ e4 @ e0) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1069, zip_derived_cl207])). 426.77/62.85 thf(zip_derived_cl6132, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= ((((op @ e4 @ e0) = (e4))) & (((op @ e4 @ e1) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1151, zip_derived_cl1274])). 426.77/62.85 thf('53', plain, (~ (((op @ e4 @ e1) = (e4))) | ~ (((op @ e4 @ e0) = (e4)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl6132])). 426.77/62.85 thf(zip_derived_cl816, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e4))) <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl814])). 426.77/62.85 thf(zip_derived_cl675, plain, 426.77/62.85 ( (((((op @ e0 @ e4) = (e2))) | (((e2) = (op @ e1 @ e4))) | ($false) | 426.77/62.85 ($false) | ($false)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl855, plain, 426.77/62.85 (( (((((e4) = (e2))) | (((e2) = (op @ e1 @ e4))) | ($false) | ($false) | 426.77/62.85 ($false)))) 426.77/62.85 <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl816, zip_derived_cl675])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf(zip_derived_cl860, plain, 426.77/62.85 (( ((($false) | (((e2) = (op @ e1 @ e4))) | ($false) | ($false) | 426.77/62.85 ($false)))) 426.77/62.85 <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('inner_simplify_reflect', [status(thm)], 426.77/62.85 [zip_derived_cl855, zip_derived_cl51])). 426.77/62.85 thf(zip_derived_cl4441, plain, 426.77/62.85 (( (((e2) = (op @ e1 @ e4)))) <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl860])). 426.77/62.85 thf(zip_derived_cl4442, plain, 426.77/62.85 ((((e2) = (op @ e1 @ e4))) <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl4441])). 426.77/62.85 thf(zip_derived_cl758, plain, 426.77/62.85 (( (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.85 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.85 (((op @ (op @ e1 @ e4) @ e1) != (e4)))))) 426.77/62.85 <= (( (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.85 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.85 (((op @ (op @ e1 @ e4) @ e1) != (e4)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3810, plain, 426.77/62.85 (( (((e1) = (op @ (op @ e1 @ e4) @ e4)))) 426.77/62.85 <= (( (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.85 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.85 (((op @ (op @ e1 @ e4) @ e1) != (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl758])). 426.77/62.85 thf(zip_derived_cl3813, plain, 426.77/62.85 ((((e1) = (op @ (op @ e1 @ e4) @ e4))) 426.77/62.85 <= (( (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.85 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.85 (((op @ (op @ e1 @ e4) @ e1) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3810])). 426.77/62.85 thf(zip_derived_cl7613, plain, 426.77/62.85 ((((e1) = (op @ e2 @ e4))) 426.77/62.85 <= (( (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.85 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.85 (((op @ (op @ e1 @ e4) @ e1) != (e4)))))) & 426.77/62.85 (((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl4442, zip_derived_cl3813])). 426.77/62.85 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.85 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.85 thf(zip_derived_cl7642, plain, 426.77/62.85 ((((e1) = (e3))) 426.77/62.85 <= (( (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.85 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.85 (((op @ (op @ e1 @ e4) @ e1) != (e4)))))) & 426.77/62.85 (((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl7613, zip_derived_cl16])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('54', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.85 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.85 (((op @ (op @ e1 @ e4) @ e1) != (e4)))))) | 426.77/62.85 ~ (((op @ e0 @ e4) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl7642, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl692, plain, 426.77/62.85 ( (((((op @ e2 @ e1) = (e0))) | ($false) | (((op @ e2 @ e3) = (e0))) | 426.77/62.85 ($false) | (((op @ e2 @ e0) = (e0)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2746, plain, 426.77/62.85 (( (((op @ e2 @ e1) = (e0))) 426.77/62.85 | (((op @ e2 @ e3) = (e0))) 426.77/62.85 | (((op @ e2 @ e0) = (e0))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl692])). 426.77/62.85 thf(zip_derived_cl2747, plain, 426.77/62.85 ((((op @ e2 @ e1) = (e0)) 426.77/62.85 | ((op @ e2 @ e3) = (e0)) 426.77/62.85 | ((op @ e2 @ e0) = (e0)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2746])). 426.77/62.85 thf('55', plain, 426.77/62.85 ((((op @ e2 @ e3) = (e0))) | (((op @ e2 @ e0) = (e0))) | 426.77/62.85 (((op @ e2 @ e1) = (e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2747])). 426.77/62.85 thf(zip_derived_cl572, plain, 426.77/62.85 ( ((($false) | ($false) | (((e2) = (op @ e2 @ e3))) | 426.77/62.85 (((op @ e2 @ e3) = (e1))) | (((op @ e2 @ e3) = (e0)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.85 thf(zip_derived_cl1239, plain, 426.77/62.85 (( (((e2) = (op @ e2 @ e3))) 426.77/62.85 | (((op @ e2 @ e3) = (e1))) 426.77/62.85 | (((op @ e2 @ e3) = (e0))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl572])). 426.77/62.85 thf(zip_derived_cl1240, plain, 426.77/62.85 ((((e2) = (op @ e2 @ e3)) 426.77/62.85 | ((op @ e2 @ e3) = (e1)) 426.77/62.85 | ((op @ e2 @ e3) = (e0)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1239])). 426.77/62.85 thf(zip_derived_cl1241, plain, 426.77/62.85 ((((op @ e2 @ e3) = (e1))) <= ((((op @ e2 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl414, plain, 426.77/62.85 ( (((((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3)))))) | 426.77/62.85 (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3)))))) | 426.77/62.85 (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4))))) | 426.77/62.85 (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3)))))) | 426.77/62.85 (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl412])). 426.77/62.85 thf(zip_derived_cl716, plain, 426.77/62.85 (( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3)))))) 426.77/62.85 | (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3)))))) 426.77/62.85 | (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4))))) 426.77/62.85 | (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3)))))) 426.77/62.85 | (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3)))))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl414])). 426.77/62.85 thf(zip_derived_cl717, plain, 426.77/62.85 (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl716])). 426.77/62.85 thf(zip_derived_cl3244, plain, 426.77/62.85 (( (((op @ e3 @ (op @ e2 @ e3)) = (e2)))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl717])). 426.77/62.85 thf(zip_derived_cl3247, plain, 426.77/62.85 ((((op @ e3 @ (op @ e2 @ e3)) = (e2))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3244])). 426.77/62.85 thf(zip_derived_cl5757, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e2))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))) & 426.77/62.85 (((op @ e2 @ e3) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1241, zip_derived_cl3247])). 426.77/62.85 thf(zip_derived_cl755, plain, 426.77/62.85 (( (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.85 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.85 (((op @ e1 @ e3) != (op @ e3 @ e1)))))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.85 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.85 (((op @ e1 @ e3) != (op @ e3 @ e1)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3725, plain, 426.77/62.85 (( (((op @ (op @ e3 @ e1) @ e1) = (e3)))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.85 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.85 (((op @ e1 @ e3) != (op @ e3 @ e1)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl755])). 426.77/62.85 thf(zip_derived_cl3728, plain, 426.77/62.85 ((((op @ (op @ e3 @ e1) @ e1) = (e3))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.85 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.85 (((op @ e1 @ e3) != (op @ e3 @ e1)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3725])). 426.77/62.85 thf(zip_derived_cl7155, plain, 426.77/62.85 ((((op @ e2 @ e1) = (e3))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))) & 426.77/62.85 ( (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.85 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.85 (((op @ e1 @ e3) != (op @ e3 @ e1)))))) & 426.77/62.85 (((op @ e2 @ e3) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl5757, zip_derived_cl3728])). 426.77/62.85 thf(zip_derived_cl212, plain, (((e3) != (op @ e2 @ e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl98])). 426.77/62.85 thf('56', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.85 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.85 (((op @ e1 @ e3) != (op @ e3 @ e1)))))) | 426.77/62.85 ~ 426.77/62.85 ( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))) | 426.77/62.85 ~ (((op @ e2 @ e3) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl7155, zip_derived_cl212])). 426.77/62.85 thf(zip_derived_cl1241, plain, 426.77/62.85 ((((op @ e2 @ e3) = (e1))) <= ((((op @ e2 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl749, plain, 426.77/62.85 (( (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e2) != (e3)))))) 426.77/62.85 <= (( (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e2) != (e3)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3583, plain, 426.77/62.85 (( (((op @ (op @ e2 @ e3) @ e3) = (e2)))) 426.77/62.85 <= (( (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e2) != (e3)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl749])). 426.77/62.85 thf(zip_derived_cl3586, plain, 426.77/62.85 ((((op @ (op @ e2 @ e3) @ e3) = (e2))) 426.77/62.85 <= (( (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e2) != (e3)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3583])). 426.77/62.85 thf(zip_derived_cl6463, plain, 426.77/62.85 ((((op @ e1 @ e3) = (e2))) 426.77/62.85 <= (( (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e2) != (e3)))))) & 426.77/62.85 (((op @ e2 @ e3) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1241, zip_derived_cl3586])). 426.77/62.85 thf(zip_derived_cl592, plain, 426.77/62.85 ((((op @ e1 @ e4) = (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl123, plain, ( (((op @ e1 @ e4) != (op @ e1 @ e3)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl188, plain, (((op @ e1 @ e4) != (op @ e1 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl123])). 426.77/62.85 thf(zip_derived_cl597, plain, 426.77/62.85 ((((e2) != (op @ e1 @ e3))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl188])). 426.77/62.85 thf(zip_derived_cl6474, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= ((((op @ e1 @ e4) = (e2))) & 426.77/62.85 ( (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e2) != (e3)))))) & 426.77/62.85 (((op @ e2 @ e3) = (e1))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl6463, zip_derived_cl597])). 426.77/62.85 thf('57', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e2) != (e3)))))) | 426.77/62.85 ~ (((op @ e2 @ e3) = (e1))) | ~ (((op @ e1 @ e4) = (e2)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl6474])). 426.77/62.85 thf(zip_derived_cl680, plain, 426.77/62.85 ( (((((e1) = (op @ e4 @ e1))) | (((e1) = (op @ e4 @ e3))) | ($false) | 426.77/62.85 (((e1) = (op @ e4 @ e2))) | (((e1) = (op @ e4 @ e0)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2448, plain, 426.77/62.85 (( (((e1) = (op @ e4 @ e1))) 426.77/62.85 | (((e1) = (op @ e4 @ e3))) 426.77/62.85 | (((e1) = (op @ e4 @ e2))) 426.77/62.85 | (((e1) = (op @ e4 @ e0))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl680])). 426.77/62.85 thf(zip_derived_cl2449, plain, 426.77/62.85 ((((e1) = (op @ e4 @ e1)) 426.77/62.85 | ((e1) = (op @ e4 @ e3)) 426.77/62.85 | ((e1) = (op @ e4 @ e2)) 426.77/62.85 | ((e1) = (op @ e4 @ e0)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2448])). 426.77/62.85 thf('58', plain, 426.77/62.85 ((((e1) = (op @ e4 @ e2))) | (((op @ e4 @ e3) = (e1))) | 426.77/62.85 (((op @ e4 @ e1) = (e1))) | (((e1) = (op @ e4 @ e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2449])). 426.77/62.85 thf('59', plain, 426.77/62.85 ((((e0) = (op @ e3 @ e2))) | (((e3) = (op @ e3 @ e2))) | 426.77/62.85 (((op @ e3 @ e2) = (e2)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.85 thf('60', plain, 426.77/62.85 ((((op @ e4 @ e0) = (e4))) | (((op @ e4 @ e0) = (e3))) | 426.77/62.85 (((op @ e4 @ e0) = (e2))) | (((e1) = (op @ e4 @ e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.85 thf('61', plain, 426.77/62.85 ((((op @ e0 @ e2) = (e2))) | (((op @ e0 @ e2) = (e3))) | 426.77/62.85 (((op @ e0 @ e2) = (e1))) | (((op @ e0 @ e2) = (e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.85 thf(zip_derived_cl1242, plain, 426.77/62.85 ((((op @ e2 @ e3) = (e0))) <= ((((op @ e2 @ e3) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl3247, plain, 426.77/62.85 ((((op @ e3 @ (op @ e2 @ e3)) = (e2))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3244])). 426.77/62.85 thf(zip_derived_cl5758, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e2))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))) & 426.77/62.85 (((op @ e2 @ e3) = (e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1242, zip_derived_cl3247])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl364, plain, (((op @ e3 @ unit) = (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl357])). 426.77/62.85 thf(zip_derived_cl1632, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl364])). 426.77/62.85 thf(zip_derived_cl5834, plain, 426.77/62.85 ((((e2) = (e3))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))) & 426.77/62.85 (((op @ e2 @ e3) = (e0))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl5758, zip_derived_cl1632])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('62', plain, 426.77/62.85 (~ (((op @ e2 @ e3) = (e0))) | 426.77/62.85 ~ 426.77/62.85 ( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))) | 426.77/62.85 ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl5834, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1069, plain, 426.77/62.85 ((((op @ e4 @ e0) = (e4))) <= ((((op @ e4 @ e0) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.85 thf(zip_derived_cl1068, plain, 426.77/62.85 ((((op @ e4 @ e0) = (e3))) <= ((((op @ e4 @ e0) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.85 thf(zip_derived_cl1285, plain, 426.77/62.85 ((((e4) = (e3))) 426.77/62.85 <= ((((op @ e4 @ e0) = (e3))) & (((op @ e4 @ e0) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1069, zip_derived_cl1068])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('63', plain, (~ (((op @ e4 @ e0) = (e3))) | ~ (((op @ e4 @ e0) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1285, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl656, plain, 426.77/62.85 ( (((((e4) = (op @ e0 @ e0))) | ($false) | (((op @ e4 @ e0) = (e4))) | 426.77/62.85 (((op @ e3 @ e0) = (e4))) | (((op @ e1 @ e0) = (e4)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl1741, plain, 426.77/62.85 (( (((e4) = (op @ e0 @ e0))) 426.77/62.85 | (((op @ e4 @ e0) = (e4))) 426.77/62.85 | (((op @ e3 @ e0) = (e4))) 426.77/62.85 | (((op @ e1 @ e0) = (e4))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl656])). 426.77/62.85 thf(zip_derived_cl1742, plain, 426.77/62.85 ((((e4) = (op @ e0 @ e0)) 426.77/62.85 | ((op @ e4 @ e0) = (e4)) 426.77/62.85 | ((op @ e3 @ e0) = (e4)) 426.77/62.85 | ((op @ e1 @ e0) = (e4)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1741])). 426.77/62.85 thf('64', plain, 426.77/62.85 ((((op @ e4 @ e0) = (e4))) | (((e4) = (op @ e0 @ e0))) | 426.77/62.85 (((op @ e3 @ e0) = (e4))) | (((e4) = (op @ e1 @ e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1742])). 426.77/62.85 thf(zip_derived_cl1360, plain, 426.77/62.85 ((((e4) = (op @ e1 @ e0))) <= ((((e4) = (op @ e1 @ e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1355])). 426.77/62.85 thf(zip_derived_cl1356, plain, 426.77/62.85 ((((op @ e1 @ e0) = (e1))) <= ((((op @ e1 @ e0) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1355])). 426.77/62.85 thf(zip_derived_cl2099, plain, 426.77/62.85 ((((e4) = (e1))) 426.77/62.85 <= ((((op @ e1 @ e0) = (e1))) & (((e4) = (op @ e1 @ e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl1356])). 426.77/62.85 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.85 thf('65', plain, (~ (((e4) = (op @ e1 @ e0))) | ~ (((op @ e1 @ e0) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2099, zip_derived_cl50])). 426.77/62.85 thf(zip_derived_cl700, plain, 426.77/62.85 ( (((((e1) = (op @ e1 @ e0))) | (((op @ e2 @ e0) = (e1))) | ($false) | 426.77/62.85 (((e1) = (op @ e4 @ e0))) | (((e1) = (op @ e0 @ e0)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl3075, plain, 426.77/62.85 (( (((e1) = (op @ e1 @ e0))) 426.77/62.85 | (((op @ e2 @ e0) = (e1))) 426.77/62.85 | (((e1) = (op @ e4 @ e0))) 426.77/62.85 | (((e1) = (op @ e0 @ e0))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl700])). 426.77/62.85 thf(zip_derived_cl3076, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e0)) 426.77/62.85 | ((op @ e2 @ e0) = (e1)) 426.77/62.85 | ((e1) = (op @ e4 @ e0)) 426.77/62.85 | ((e1) = (op @ e0 @ e0)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3075])). 426.77/62.85 thf('66', plain, 426.77/62.85 ((((e1) = (op @ e2 @ e0))) | (((e1) = (op @ e4 @ e0))) | 426.77/62.85 (((op @ e1 @ e0) = (e1))) | (((op @ e0 @ e0) = (e1)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl3076])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl361, plain, (((e0) = (op @ unit @ e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl360])). 426.77/62.85 thf(zip_derived_cl1629, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl361])). 426.77/62.85 thf(zip_derived_cl1505, plain, 426.77/62.85 ((((op @ e0 @ e0) = (e3))) <= ((((op @ e0 @ e0) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1502])). 426.77/62.85 thf(zip_derived_cl2969, plain, 426.77/62.85 ((((e0) = (e3))) <= ((((op @ e0 @ e0) = (e3))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1505])). 426.77/62.85 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.85 thf('67', plain, (~ (((op @ e0 @ e0) = (e3))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2969, zip_derived_cl54])). 426.77/62.85 thf(zip_derived_cl655, plain, 426.77/62.85 ( (((((e3) = (op @ e0 @ e1))) | (((e3) = (op @ e0 @ e3))) | ($false) | 426.77/62.85 (((op @ e0 @ e2) = (e3))) | (((op @ e0 @ e0) = (e3)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl1705, plain, 426.77/62.85 (( (((e3) = (op @ e0 @ e1))) 426.77/62.85 | (((e3) = (op @ e0 @ e3))) 426.77/62.85 | (((op @ e0 @ e2) = (e3))) 426.77/62.85 | (((op @ e0 @ e0) = (e3))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl655])). 426.77/62.85 thf(zip_derived_cl1706, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e1)) 426.77/62.85 | ((e3) = (op @ e0 @ e3)) 426.77/62.85 | ((op @ e0 @ e2) = (e3)) 426.77/62.85 | ((op @ e0 @ e0) = (e3)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1705])). 426.77/62.85 thf('68', plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) | (((op @ e0 @ e2) = (e3))) | 426.77/62.85 (((op @ e0 @ e0) = (e3))) | (((op @ e0 @ e1) = (e3)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1706])). 426.77/62.85 thf(zip_derived_cl1397, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e2))) <= ((((op @ e0 @ e3) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl256, plain, 426.77/62.85 (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl255])). 426.77/62.85 thf(zip_derived_cl288, plain, 426.77/62.85 (( (((e2) = (op @ e4 @ e3)))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl256])). 426.77/62.85 thf(zip_derived_cl291, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl288])). 426.77/62.85 thf(zip_derived_cl142, plain, ( (((op @ e0 @ e3) != (op @ e4 @ e3)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl171, plain, (((op @ e0 @ e3) != (op @ e4 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl142])). 426.77/62.85 thf(zip_derived_cl372, plain, 426.77/62.85 ((((op @ e0 @ e3) != (e2))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl291, zip_derived_cl171])). 426.77/62.85 thf(zip_derived_cl2143, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))) & 426.77/62.85 (((op @ e0 @ e3) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1397, zip_derived_cl372])). 426.77/62.85 thf('69', plain, 426.77/62.85 (~ (((op @ e0 @ e3) = (e2))) | 426.77/62.85 ~ ( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl2143])). 426.77/62.85 thf(zip_derived_cl699, plain, 426.77/62.85 ( (((((op @ e0 @ e0) = (e2))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.85 (((e2) = (op @ e2 @ e0))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.85 (((op @ e3 @ e0) = (e2)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl3020, plain, 426.77/62.85 (( (((op @ e0 @ e0) = (e2))) 426.77/62.85 | (((e2) = (op @ e1 @ e0))) 426.77/62.85 | (((e2) = (op @ e2 @ e0))) 426.77/62.85 | (((op @ e4 @ e0) = (e2))) 426.77/62.85 | (((op @ e3 @ e0) = (e2))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl699])). 426.77/62.85 thf(zip_derived_cl3021, plain, 426.77/62.85 ((((op @ e0 @ e0) = (e2)) 426.77/62.85 | ((e2) = (op @ e1 @ e0)) 426.77/62.85 | ((e2) = (op @ e2 @ e0)) 426.77/62.85 | ((op @ e4 @ e0) = (e2)) 426.77/62.85 | ((op @ e3 @ e0) = (e2)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3020])). 426.77/62.85 thf('70', plain, 426.77/62.85 ((((op @ e2 @ e0) = (e2))) | (((op @ e4 @ e0) = (e2))) | 426.77/62.85 (((op @ e3 @ e0) = (e2))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.85 (((op @ e0 @ e0) = (e2)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl3021])). 426.77/62.85 thf(zip_derived_cl658, plain, 426.77/62.85 ( (((((e0) = (op @ e0 @ e1))) | (((e0) = (op @ e2 @ e1))) | ($false) | 426.77/62.85 (((op @ e3 @ e1) = (e0))) | (((e0) = (op @ e1 @ e1)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl1817, plain, 426.77/62.85 (( (((e0) = (op @ e0 @ e1))) 426.77/62.85 | (((e0) = (op @ e2 @ e1))) 426.77/62.85 | (((op @ e3 @ e1) = (e0))) 426.77/62.85 | (((e0) = (op @ e1 @ e1))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl658])). 426.77/62.85 thf(zip_derived_cl1818, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e1)) 426.77/62.85 | ((e0) = (op @ e2 @ e1)) 426.77/62.85 | ((op @ e3 @ e1) = (e0)) 426.77/62.85 | ((e0) = (op @ e1 @ e1)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1817])). 426.77/62.85 thf('71', plain, 426.77/62.85 ((((op @ e1 @ e1) = (e0))) | (((op @ e2 @ e1) = (e0))) | 426.77/62.85 (((e0) = (op @ e0 @ e1))) | (((op @ e3 @ e1) = (e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1818])). 426.77/62.85 thf(zip_derived_cl1196, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e0))) <= ((((op @ e3 @ e1) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.85 thf(zip_derived_cl1194, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e2))) <= ((((op @ e3 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.85 thf(zip_derived_cl1665, plain, 426.77/62.85 ((((e0) = (e2))) 426.77/62.85 <= ((((op @ e3 @ e1) = (e2))) & (((op @ e3 @ e1) = (e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1196, zip_derived_cl1194])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('72', plain, (~ (((op @ e3 @ e1) = (e0))) | ~ (((op @ e3 @ e1) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1665, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl662, plain, 426.77/62.85 ( (((((e4) = (op @ e0 @ e1))) | ($false) | (((op @ e4 @ e1) = (e4))) | 426.77/62.85 (((e4) = (op @ e3 @ e1))) | (((e4) = (op @ e1 @ e1)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl1946, plain, 426.77/62.85 (( (((e4) = (op @ e0 @ e1))) 426.77/62.85 | (((op @ e4 @ e1) = (e4))) 426.77/62.85 | (((e4) = (op @ e3 @ e1))) 426.77/62.85 | (((e4) = (op @ e1 @ e1))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl662])). 426.77/62.85 thf(zip_derived_cl1947, plain, 426.77/62.85 ((((e4) = (op @ e0 @ e1)) 426.77/62.85 | ((op @ e4 @ e1) = (e4)) 426.77/62.85 | ((e4) = (op @ e3 @ e1)) 426.77/62.85 | ((e4) = (op @ e1 @ e1)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1946])). 426.77/62.85 thf('73', plain, 426.77/62.85 ((((op @ e4 @ e1) = (e4))) | (((e4) = (op @ e1 @ e1))) | 426.77/62.85 (((op @ e0 @ e1) = (e4))) | (((op @ e3 @ e1) = (e4)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1947])). 426.77/62.85 thf(zip_derived_cl694, plain, 426.77/62.85 ( ((($false) | (((op @ e3 @ e1) = (e3))) | (((op @ e4 @ e1) = (e3))) | 426.77/62.85 (((e3) = (op @ e1 @ e1))) | (((e3) = (op @ e0 @ e1)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2836, plain, 426.77/62.85 (( (((op @ e3 @ e1) = (e3))) 426.77/62.85 | (((op @ e4 @ e1) = (e3))) 426.77/62.85 | (((e3) = (op @ e1 @ e1))) 426.77/62.85 | (((e3) = (op @ e0 @ e1))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl694])). 426.77/62.85 thf(zip_derived_cl2837, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e3)) 426.77/62.85 | ((op @ e4 @ e1) = (e3)) 426.77/62.85 | ((e3) = (op @ e1 @ e1)) 426.77/62.85 | ((e3) = (op @ e0 @ e1)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2836])). 426.77/62.85 thf('74', plain, 426.77/62.85 ((((op @ e3 @ e1) = (e3))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.85 (((op @ e4 @ e1) = (e3))) | (((op @ e0 @ e1) = (e3)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2837])). 426.77/62.85 thf(zip_derived_cl1197, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e4))) <= ((((op @ e3 @ e1) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.85 thf(zip_derived_cl1194, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e2))) <= ((((op @ e3 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.85 thf(zip_derived_cl1685, plain, 426.77/62.85 ((((e4) = (e2))) 426.77/62.85 <= ((((op @ e3 @ e1) = (e2))) & (((op @ e3 @ e1) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1197, zip_derived_cl1194])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf('75', plain, (~ (((op @ e3 @ e1) = (e4))) | ~ (((op @ e3 @ e1) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1685, zip_derived_cl51])). 426.77/62.85 thf(zip_derived_cl1195, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e3))) <= ((((op @ e3 @ e1) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.85 thf(zip_derived_cl1194, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e2))) <= ((((op @ e3 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.85 thf(zip_derived_cl1653, plain, 426.77/62.85 ((((e3) = (e2))) 426.77/62.85 <= ((((op @ e3 @ e1) = (e2))) & (((op @ e3 @ e1) = (e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1195, zip_derived_cl1194])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('76', plain, (~ (((op @ e3 @ e1) = (e3))) | ~ (((op @ e3 @ e1) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1653, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl693, plain, 426.77/62.85 ( (((((op @ e1 @ e4) = (e4))) | (((op @ e1 @ e3) = (e4))) | ($false) | 426.77/62.85 (((e4) = (op @ e1 @ e1))) | (((op @ e1 @ e0) = (e4)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2779, plain, 426.77/62.85 (( (((op @ e1 @ e4) = (e4))) 426.77/62.85 | (((op @ e1 @ e3) = (e4))) 426.77/62.85 | (((e4) = (op @ e1 @ e1))) 426.77/62.85 | (((op @ e1 @ e0) = (e4))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl693])). 426.77/62.85 thf(zip_derived_cl2780, plain, 426.77/62.85 ((((op @ e1 @ e4) = (e4)) 426.77/62.85 | ((op @ e1 @ e3) = (e4)) 426.77/62.85 | ((e4) = (op @ e1 @ e1)) 426.77/62.85 | ((op @ e1 @ e0) = (e4)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2779])). 426.77/62.85 thf('77', plain, 426.77/62.85 ((((e4) = (op @ e1 @ e4))) | (((e4) = (op @ e1 @ e1))) | 426.77/62.85 (((op @ e1 @ e3) = (e4))) | (((e4) = (op @ e1 @ e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2780])). 426.77/62.85 thf(zip_derived_cl661, plain, 426.77/62.85 ( (((((op @ e1 @ e3) = (e3))) | ($false) | (((e3) = (op @ e1 @ e2))) | 426.77/62.85 (((op @ e1 @ e1) = (e3))) | (((e3) = (op @ e1 @ e0)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl1914, plain, 426.77/62.85 (( (((op @ e1 @ e3) = (e3))) 426.77/62.85 | (((e3) = (op @ e1 @ e2))) 426.77/62.85 | (((op @ e1 @ e1) = (e3))) 426.77/62.85 | (((e3) = (op @ e1 @ e0))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl661])). 426.77/62.85 thf(zip_derived_cl1915, plain, 426.77/62.85 ((((op @ e1 @ e3) = (e3)) 426.77/62.85 | ((e3) = (op @ e1 @ e2)) 426.77/62.85 | ((op @ e1 @ e1) = (e3)) 426.77/62.85 | ((e3) = (op @ e1 @ e0)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1914])). 426.77/62.85 thf('78', plain, 426.77/62.85 ((((e3) = (op @ e1 @ e3))) | (((op @ e1 @ e1) = (e3))) | 426.77/62.85 (((op @ e1 @ e2) = (e3))) | (((e3) = (op @ e1 @ e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1915])). 426.77/62.85 thf(zip_derived_cl1360, plain, 426.77/62.85 ((((e4) = (op @ e1 @ e0))) <= ((((e4) = (op @ e1 @ e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1355])). 426.77/62.85 thf(zip_derived_cl1359, plain, 426.77/62.85 ((((e3) = (op @ e1 @ e0))) <= ((((e3) = (op @ e1 @ e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1355])). 426.77/62.85 thf(zip_derived_cl2102, plain, 426.77/62.85 ((((e3) = (e4))) 426.77/62.85 <= ((((e3) = (op @ e1 @ e0))) & (((e4) = (op @ e1 @ e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1360, zip_derived_cl1359])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('79', plain, (~ (((e3) = (op @ e1 @ e0))) | ~ (((e4) = (op @ e1 @ e0)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2102, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl867, plain, 426.77/62.85 ((((e4) = (op @ e1 @ e1))) <= ((((e4) = (op @ e1 @ e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl862])). 426.77/62.85 thf(zip_derived_cl865, plain, 426.77/62.85 ((((op @ e1 @ e1) = (e0))) <= ((((op @ e1 @ e1) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl862])). 426.77/62.85 thf(zip_derived_cl926, plain, 426.77/62.85 ((((e4) = (e0))) 426.77/62.85 <= ((((op @ e1 @ e1) = (e0))) & (((e4) = (op @ e1 @ e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl867, zip_derived_cl865])). 426.77/62.85 thf(zip_derived_cl47, plain, (((e4) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 426.77/62.85 thf('80', plain, (~ (((op @ e1 @ e1) = (e0))) | ~ (((e4) = (op @ e1 @ e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl926, zip_derived_cl47])). 426.77/62.85 thf(zip_derived_cl865, plain, 426.77/62.85 ((((op @ e1 @ e1) = (e0))) <= ((((op @ e1 @ e1) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl862])). 426.77/62.85 thf(zip_derived_cl864, plain, 426.77/62.85 ((((op @ e1 @ e1) = (e3))) <= ((((op @ e1 @ e1) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl862])). 426.77/62.85 thf(zip_derived_cl893, plain, 426.77/62.85 ((((e0) = (e3))) 426.77/62.85 <= ((((op @ e1 @ e1) = (e3))) & (((op @ e1 @ e1) = (e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl865, zip_derived_cl864])). 426.77/62.85 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.85 thf('81', plain, (~ (((op @ e1 @ e1) = (e3))) | ~ (((op @ e1 @ e1) = (e0)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl893, zip_derived_cl54])). 426.77/62.85 thf(zip_derived_cl1151, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e4))) <= ((((op @ e4 @ e1) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl1150, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e3))) <= ((((op @ e4 @ e1) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl1520, plain, 426.77/62.85 ((((e4) = (e3))) 426.77/62.85 <= ((((op @ e4 @ e1) = (e3))) & (((op @ e4 @ e1) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1151, zip_derived_cl1150])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('82', plain, (~ (((op @ e4 @ e1) = (e3))) | ~ (((op @ e4 @ e1) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1520, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl1041, plain, 426.77/62.85 ((((e2) = (op @ e3 @ e3))) <= ((((e2) = (op @ e3 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1038, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e3))) <= ((((op @ e3 @ e3) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1182, plain, 426.77/62.85 ((((e2) = (e3))) 426.77/62.85 <= ((((op @ e3 @ e3) = (e3))) & (((e2) = (op @ e3 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1041, zip_derived_cl1038])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('83', plain, (~ (((op @ e3 @ e3) = (e3))) | ~ (((e2) = (op @ e3 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1182, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1399, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl1398, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e4))) <= ((((op @ e0 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl2197, plain, 426.77/62.85 ((((e3) = (e4))) 426.77/62.85 <= ((((op @ e0 @ e3) = (e4))) & (((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1399, zip_derived_cl1398])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('84', plain, (~ (((op @ e0 @ e3) = (e4))) | ~ (((e3) = (op @ e0 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2197, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl690, plain, 426.77/62.85 ( (((((op @ e2 @ e0) = (e2))) | (((e2) = (op @ e2 @ e3))) | ($false) | 426.77/62.85 ($false) | (((e2) = (op @ e2 @ e1)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2686, plain, 426.77/62.85 (( (((op @ e2 @ e0) = (e2))) 426.77/62.85 | (((e2) = (op @ e2 @ e3))) 426.77/62.85 | (((e2) = (op @ e2 @ e1))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl690])). 426.77/62.85 thf(zip_derived_cl2687, plain, 426.77/62.85 ((((op @ e2 @ e0) = (e2)) 426.77/62.85 | ((e2) = (op @ e2 @ e3)) 426.77/62.85 | ((e2) = (op @ e2 @ e1)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2686])). 426.77/62.85 thf('85', plain, 426.77/62.85 ((((op @ e2 @ e1) = (e2))) | (((op @ e2 @ e0) = (e2))) | 426.77/62.85 (((e2) = (op @ e2 @ e3)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2687])). 426.77/62.85 thf(zip_derived_cl664, plain, 426.77/62.85 ( (((((op @ e2 @ e0) = (e1))) | (((e1) = (op @ e2 @ e1))) | ($false) | 426.77/62.85 (((e1) = (op @ e2 @ e3))) | ($false)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2010, plain, 426.77/62.85 (( (((op @ e2 @ e0) = (e1))) 426.77/62.85 | (((e1) = (op @ e2 @ e1))) 426.77/62.85 | (((e1) = (op @ e2 @ e3))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl664])). 426.77/62.85 thf(zip_derived_cl2011, plain, 426.77/62.85 ((((op @ e2 @ e0) = (e1)) 426.77/62.85 | ((e1) = (op @ e2 @ e1)) 426.77/62.85 | ((e1) = (op @ e2 @ e3)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2010])). 426.77/62.85 thf('86', plain, 426.77/62.85 ((((op @ e2 @ e3) = (e1))) | (((e1) = (op @ e2 @ e0))) | 426.77/62.85 (((op @ e2 @ e1) = (e1)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2011])). 426.77/62.85 thf(zip_derived_cl903, plain, 426.77/62.85 ((((op @ e2 @ e1) = (e0))) <= ((((op @ e2 @ e1) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl900])). 426.77/62.85 thf(zip_derived_cl902, plain, 426.77/62.85 ((((op @ e2 @ e1) = (e2))) <= ((((op @ e2 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl900])). 426.77/62.85 thf(zip_derived_cl965, plain, 426.77/62.85 ((((e0) = (e2))) 426.77/62.85 <= ((((op @ e2 @ e1) = (e2))) & (((op @ e2 @ e1) = (e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl903, zip_derived_cl902])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('87', plain, (~ (((op @ e2 @ e1) = (e0))) | ~ (((op @ e2 @ e1) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl965, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl903, plain, 426.77/62.85 ((((op @ e2 @ e1) = (e0))) <= ((((op @ e2 @ e1) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl900])). 426.77/62.85 thf(zip_derived_cl901, plain, 426.77/62.85 ((((op @ e2 @ e1) = (e1))) <= ((((op @ e2 @ e1) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl900])). 426.77/62.85 thf(zip_derived_cl964, plain, 426.77/62.85 ((((e0) = (e1))) 426.77/62.85 <= ((((op @ e2 @ e1) = (e1))) & (((op @ e2 @ e1) = (e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl903, zip_derived_cl901])). 426.77/62.85 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.85 thf('88', plain, (~ (((op @ e2 @ e1) = (e1))) | ~ (((op @ e2 @ e1) = (e0)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl964, zip_derived_cl45])). 426.77/62.85 thf(zip_derived_cl573, plain, 426.77/62.85 ( (((((e1) = (op @ e2 @ e0))) | ($false) | ($false) | 426.77/62.85 (((op @ e2 @ e0) = (e2))) | (((op @ e2 @ e0) = (e0)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.85 thf(zip_derived_cl1266, plain, 426.77/62.85 (( (((e1) = (op @ e2 @ e0))) 426.77/62.85 | (((op @ e2 @ e0) = (e2))) 426.77/62.85 | (((op @ e2 @ e0) = (e0))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl573])). 426.77/62.85 thf(zip_derived_cl1267, plain, 426.77/62.85 ((((e1) = (op @ e2 @ e0)) 426.77/62.85 | ((op @ e2 @ e0) = (e2)) 426.77/62.85 | ((op @ e2 @ e0) = (e0)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1266])). 426.77/62.85 thf(zip_derived_cl1269, plain, 426.77/62.85 ((((op @ e2 @ e0) = (e2))) <= ((((op @ e2 @ e0) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1267])). 426.77/62.85 thf(zip_derived_cl1268, plain, 426.77/62.85 ((((e1) = (op @ e2 @ e0))) <= ((((e1) = (op @ e2 @ e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1267])). 426.77/62.85 thf(zip_derived_cl1784, plain, 426.77/62.85 ((((e1) = (e2))) 426.77/62.85 <= ((((e1) = (op @ e2 @ e0))) & (((op @ e2 @ e0) = (e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1269, zip_derived_cl1268])). 426.77/62.85 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.85 thf('89', plain, (~ (((op @ e2 @ e0) = (e2))) | ~ (((e1) = (op @ e2 @ e0)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1784, zip_derived_cl48])). 426.77/62.85 thf(zip_derived_cl1358, plain, 426.77/62.85 ((((e2) = (op @ e1 @ e0))) <= ((((e2) = (op @ e1 @ e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1355])). 426.77/62.85 thf(zip_derived_cl592, plain, 426.77/62.85 ((((op @ e1 @ e4) = (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl90, plain, ( (((op @ e1 @ e0) != (op @ e1 @ e4)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl220, plain, (((op @ e1 @ e0) != (op @ e1 @ e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl90])). 426.77/62.85 thf(zip_derived_cl599, plain, 426.77/62.85 ((((op @ e1 @ e0) != (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl220])). 426.77/62.85 thf(zip_derived_cl2031, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= ((((op @ e1 @ e4) = (e2))) & (((e2) = (op @ e1 @ e0))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1358, zip_derived_cl599])). 426.77/62.85 thf('90', plain, (~ (((e2) = (op @ e1 @ e0))) | ~ (((op @ e1 @ e4) = (e2)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl2031])). 426.77/62.85 thf(zip_derived_cl593, plain, 426.77/62.85 ((((e4) = (op @ e1 @ e4))) <= ((((e4) = (op @ e1 @ e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl592, plain, 426.77/62.85 ((((op @ e1 @ e4) = (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl638, plain, 426.77/62.85 ((((e4) = (e2))) 426.77/62.85 <= ((((op @ e1 @ e4) = (e2))) & (((e4) = (op @ e1 @ e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl593, zip_derived_cl592])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf('91', plain, (~ (((op @ e1 @ e4) = (e2))) | ~ (((e4) = (op @ e1 @ e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl638, zip_derived_cl51])). 426.77/62.85 thf(zip_derived_cl1485, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e1))) <= ((((e0) = (op @ e0 @ e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.85 thf(zip_derived_cl1481, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1))) <= ((((op @ e0 @ e1) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.85 thf(zip_derived_cl2469, plain, 426.77/62.85 ((((e0) = (e1))) 426.77/62.85 <= ((((op @ e0 @ e1) = (e1))) & (((e0) = (op @ e0 @ e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1485, zip_derived_cl1481])). 426.77/62.85 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.85 thf('92', plain, (~ (((e0) = (op @ e0 @ e1))) | ~ (((op @ e0 @ e1) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2469, zip_derived_cl45])). 426.77/62.85 thf(zip_derived_cl1483, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e4))) <= ((((op @ e0 @ e1) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.85 thf(zip_derived_cl1481, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1))) <= ((((op @ e0 @ e1) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.85 thf(zip_derived_cl2396, plain, 426.77/62.85 ((((e4) = (e1))) 426.77/62.85 <= ((((op @ e0 @ e1) = (e1))) & (((op @ e0 @ e1) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1483, zip_derived_cl1481])). 426.77/62.85 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.85 thf('93', plain, (~ (((op @ e0 @ e1) = (e4))) | ~ (((op @ e0 @ e1) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2396, zip_derived_cl50])). 426.77/62.85 thf(zip_derived_cl1482, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e3))) <= ((((op @ e0 @ e1) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.85 thf(zip_derived_cl1481, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1))) <= ((((op @ e0 @ e1) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.85 thf(zip_derived_cl2373, plain, 426.77/62.85 ((((e3) = (e1))) 426.77/62.85 <= ((((op @ e0 @ e1) = (e1))) & (((op @ e0 @ e1) = (e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1482, zip_derived_cl1481])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('94', plain, (~ (((op @ e0 @ e1) = (e3))) | ~ (((op @ e0 @ e1) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2373, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl691, plain, 426.77/62.85 ( ((($false) | (((e1) = (op @ e4 @ e2))) | ($false) | 426.77/62.85 (((op @ e1 @ e2) = (e1))) | (((e1) = (op @ e0 @ e2)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2715, plain, 426.77/62.85 (( (((e1) = (op @ e4 @ e2))) 426.77/62.85 | (((op @ e1 @ e2) = (e1))) 426.77/62.85 | (((e1) = (op @ e0 @ e2))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl691])). 426.77/62.85 thf(zip_derived_cl2716, plain, 426.77/62.85 ((((e1) = (op @ e4 @ e2)) 426.77/62.85 | ((op @ e1 @ e2) = (e1)) 426.77/62.85 | ((e1) = (op @ e0 @ e2)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2715])). 426.77/62.85 thf('95', plain, 426.77/62.85 ((((e1) = (op @ e4 @ e2))) | (((e1) = (op @ e1 @ e2))) | 426.77/62.85 (((op @ e0 @ e2) = (e1)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2716])). 426.77/62.85 thf(zip_derived_cl666, plain, 426.77/62.85 ( ((($false) | (((op @ e4 @ e2) = (e3))) | (((e3) = (op @ e3 @ e2))) | 426.77/62.85 (((op @ e1 @ e2) = (e3))) | (((e3) = (op @ e0 @ e2)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2084, plain, 426.77/62.85 (( (((op @ e4 @ e2) = (e3))) 426.77/62.85 | (((e3) = (op @ e3 @ e2))) 426.77/62.85 | (((op @ e1 @ e2) = (e3))) 426.77/62.85 | (((e3) = (op @ e0 @ e2))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl666])). 426.77/62.85 thf(zip_derived_cl2085, plain, 426.77/62.85 ((((op @ e4 @ e2) = (e3)) 426.77/62.85 | ((e3) = (op @ e3 @ e2)) 426.77/62.85 | ((op @ e1 @ e2) = (e3)) 426.77/62.85 | ((e3) = (op @ e0 @ e2)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2084])). 426.77/62.85 thf('96', plain, 426.77/62.85 ((((e3) = (op @ e4 @ e2))) | (((op @ e1 @ e2) = (e3))) | 426.77/62.85 (((op @ e0 @ e2) = (e3))) | (((e3) = (op @ e3 @ e2)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2085])). 426.77/62.85 thf(zip_derived_cl1335, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e2))) <= ((((e1) = (op @ e1 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.85 thf(zip_derived_cl1334, plain, 426.77/62.85 ((((op @ e1 @ e2) = (e0))) <= ((((op @ e1 @ e2) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.85 thf(zip_derived_cl1974, plain, 426.77/62.85 ((((e1) = (e0))) 426.77/62.85 <= ((((op @ e1 @ e2) = (e0))) & (((e1) = (op @ e1 @ e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1335, zip_derived_cl1334])). 426.77/62.85 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.85 thf('97', plain, (~ (((e1) = (op @ e1 @ e2))) | ~ (((op @ e1 @ e2) = (e0)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1974, zip_derived_cl45])). 426.77/62.85 thf(zip_derived_cl1334, plain, 426.77/62.85 ((((op @ e1 @ e2) = (e0))) <= ((((op @ e1 @ e2) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.85 thf(zip_derived_cl1333, plain, 426.77/62.85 ((((op @ e1 @ e2) = (e3))) <= ((((op @ e1 @ e2) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1331])). 426.77/62.85 thf(zip_derived_cl1960, plain, 426.77/62.85 ((((e0) = (e3))) 426.77/62.85 <= ((((op @ e1 @ e2) = (e3))) & (((op @ e1 @ e2) = (e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1334, zip_derived_cl1333])). 426.77/62.85 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.85 thf('98', plain, (~ (((op @ e1 @ e2) = (e0))) | ~ (((op @ e1 @ e2) = (e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1960, zip_derived_cl54])). 426.77/62.85 thf(zip_derived_cl663, plain, 426.77/62.85 ( (((((op @ e1 @ e2) = (e0))) | ($false) | (((op @ e3 @ e2) = (e0))) | 426.77/62.85 ($false) | (((e0) = (op @ e0 @ e2)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl1985, plain, 426.77/62.85 (( (((op @ e1 @ e2) = (e0))) 426.77/62.85 | (((op @ e3 @ e2) = (e0))) 426.77/62.85 | (((e0) = (op @ e0 @ e2))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl663])). 426.77/62.85 thf(zip_derived_cl1986, plain, 426.77/62.85 ((((op @ e1 @ e2) = (e0)) 426.77/62.85 | ((op @ e3 @ e2) = (e0)) 426.77/62.85 | ((e0) = (op @ e0 @ e2)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1985])). 426.77/62.85 thf('99', plain, 426.77/62.85 ((((e0) = (op @ e3 @ e2))) | (((op @ e1 @ e2) = (e0))) | 426.77/62.85 (((op @ e0 @ e2) = (e0)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1986])). 426.77/62.85 thf(zip_derived_cl998, plain, 426.77/62.85 ((((e0) = (op @ e3 @ e2))) <= ((((e0) = (op @ e3 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.85 thf(zip_derived_cl996, plain, 426.77/62.85 ((((op @ e3 @ e2) = (e2))) <= ((((op @ e3 @ e2) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.85 thf(zip_derived_cl1078, plain, 426.77/62.85 ((((e0) = (e2))) 426.77/62.85 <= ((((op @ e3 @ e2) = (e2))) & (((e0) = (op @ e3 @ e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl998, zip_derived_cl996])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('100', plain, 426.77/62.85 (~ (((op @ e3 @ e2) = (e2))) | ~ (((e0) = (op @ e3 @ e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1078, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl997, plain, 426.77/62.85 ((((e3) = (op @ e3 @ e2))) <= ((((e3) = (op @ e3 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.85 thf(zip_derived_cl996, plain, 426.77/62.85 ((((op @ e3 @ e2) = (e2))) <= ((((op @ e3 @ e2) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.85 thf(zip_derived_cl1060, plain, 426.77/62.85 ((((e3) = (e2))) 426.77/62.85 <= ((((op @ e3 @ e2) = (e2))) & (((e3) = (op @ e3 @ e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl997, zip_derived_cl996])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('101', plain, 426.77/62.85 (~ (((e3) = (op @ e3 @ e2))) | ~ (((op @ e3 @ e2) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1060, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1099, plain, 426.77/62.85 ((((e3) = (op @ e4 @ e2))) <= ((((e3) = (op @ e4 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.85 thf(zip_derived_cl1098, plain, 426.77/62.85 ((((e1) = (op @ e4 @ e2))) <= ((((e1) = (op @ e4 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.85 thf(zip_derived_cl1348, plain, 426.77/62.85 ((((e1) = (e3))) 426.77/62.85 <= ((((e1) = (op @ e4 @ e2))) & (((e3) = (op @ e4 @ e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1099, zip_derived_cl1098])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('102', plain, 426.77/62.85 (~ (((e3) = (op @ e4 @ e2))) | ~ (((e1) = (op @ e4 @ e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1348, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl363, plain, (((e3) = (op @ unit @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl358])). 426.77/62.85 thf(zip_derived_cl1631, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl363])). 426.77/62.85 thf(zip_derived_cl1400, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e3))) <= ((((e0) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl3043, plain, 426.77/62.85 ((((e0) = (e3))) <= ((((e0) = (op @ e0 @ e3))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1631, zip_derived_cl1400])). 426.77/62.85 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.85 thf('103', plain, (~ (((e0) = (op @ e0 @ e3))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3043, zip_derived_cl54])). 426.77/62.85 thf(zip_derived_cl1631, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl363])). 426.77/62.85 thf(zip_derived_cl1398, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e4))) <= ((((op @ e0 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl3042, plain, 426.77/62.85 ((((e3) = (e4))) <= ((((op @ e0 @ e3) = (e4))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1631, zip_derived_cl1398])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('104', plain, (~ (((op @ e0 @ e3) = (e4))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3042, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl1631, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl363])). 426.77/62.85 thf(zip_derived_cl1396, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e1))) <= ((((op @ e0 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl3041, plain, 426.77/62.85 ((((e3) = (e1))) <= ((((op @ e0 @ e3) = (e1))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1631, zip_derived_cl1396])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('105', plain, (~ (((op @ e0 @ e3) = (e1))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3041, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl1629, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl361])). 426.77/62.85 thf(zip_derived_cl1507, plain, 426.77/62.85 ((((e4) = (op @ e0 @ e0))) <= ((((e4) = (op @ e0 @ e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1502])). 426.77/62.85 thf(zip_derived_cl2970, plain, 426.77/62.85 ((((e4) = (e0))) <= ((((e4) = (op @ e0 @ e0))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1507])). 426.77/62.85 thf(zip_derived_cl47, plain, (((e4) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 426.77/62.85 thf('106', plain, (~ (((e4) = (op @ e0 @ e0))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2970, zip_derived_cl47])). 426.77/62.85 thf(zip_derived_cl1629, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl361])). 426.77/62.85 thf(zip_derived_cl1504, plain, 426.77/62.85 ((((op @ e0 @ e0) = (e2))) <= ((((op @ e0 @ e0) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1502])). 426.77/62.85 thf(zip_derived_cl2968, plain, 426.77/62.85 ((((e0) = (e2))) <= ((((op @ e0 @ e0) = (e2))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1504])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('107', plain, (~ (((op @ e0 @ e0) = (e2))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2968, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl1545, plain, 426.77/62.85 ((((e3) = (op @ e1 @ e3))) <= ((((unit) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl363])). 426.77/62.85 thf(zip_derived_cl1296, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e3))) <= ((((e1) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl2667, plain, 426.77/62.85 ((((e1) = (e3))) <= ((((e1) = (op @ e1 @ e3))) & (((unit) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1545, zip_derived_cl1296])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('108', plain, (~ (((e1) = (op @ e1 @ e3))) | ~ (((unit) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2667, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl1296, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e3))) <= ((((e1) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1295, plain, 426.77/62.85 ((((op @ e1 @ e3) = (e4))) <= ((((op @ e1 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1832, plain, 426.77/62.85 ((((e1) = (e4))) 426.77/62.85 <= ((((op @ e1 @ e3) = (e4))) & (((e1) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1296, zip_derived_cl1295])). 426.77/62.85 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.85 thf('109', plain, 426.77/62.85 (~ (((e1) = (op @ e1 @ e3))) | ~ (((op @ e1 @ e3) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1832, zip_derived_cl50])). 426.77/62.85 thf(zip_derived_cl653, plain, 426.77/62.85 ( (((((op @ e0 @ e1) = (e1))) | ($false) | (((e1) = (op @ e0 @ e3))) | 426.77/62.85 (((op @ e0 @ e2) = (e1))) | (((e1) = (op @ e0 @ e0)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl1623, plain, 426.77/62.85 (( (((op @ e0 @ e1) = (e1))) 426.77/62.85 | (((e1) = (op @ e0 @ e3))) 426.77/62.85 | (((op @ e0 @ e2) = (e1))) 426.77/62.85 | (((e1) = (op @ e0 @ e0))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl653])). 426.77/62.85 thf(zip_derived_cl1624, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1)) 426.77/62.85 | ((e1) = (op @ e0 @ e3)) 426.77/62.85 | ((op @ e0 @ e2) = (e1)) 426.77/62.85 | ((e1) = (op @ e0 @ e0)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1623])). 426.77/62.85 thf('110', plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1))) | (((op @ e0 @ e3) = (e1))) | 426.77/62.85 (((op @ e0 @ e2) = (e1))) | (((op @ e0 @ e0) = (e1)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1624])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl369, plain, (((op @ unit @ e1) = (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl351])). 426.77/62.85 thf(zip_derived_cl1637, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl369])). 426.77/62.85 thf(zip_derived_cl1148, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e1))) <= ((((op @ e4 @ e1) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl65, plain, ( (((op @ e4 @ e1) != (op @ e0 @ e1)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl245, plain, (((op @ e4 @ e1) != (op @ e0 @ e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl65])). 426.77/62.85 thf(zip_derived_cl1443, plain, 426.77/62.85 ((((e1) != (op @ e0 @ e1))) <= ((((op @ e4 @ e1) = (e1))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1148, zip_derived_cl245])). 426.77/62.85 thf(zip_derived_cl7315, plain, 426.77/62.85 ((((e1) != (e1))) <= ((((op @ e4 @ e1) = (e1))) & (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1637, zip_derived_cl1443])). 426.77/62.85 thf('111', plain, (~ (((op @ e4 @ e1) = (e1))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl7315])). 426.77/62.85 thf(zip_derived_cl1637, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl369])). 426.77/62.85 thf(zip_derived_cl764, plain, 426.77/62.85 (( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.85 (((op @ (op @ e0 @ e1) @ e0) != (e1)))))) 426.77/62.85 <= (( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.85 (((op @ (op @ e0 @ e1) @ e0) != (e1)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl4030, plain, 426.77/62.85 (( (((op @ e0 @ e1) != (op @ e1 @ e0)))) 426.77/62.85 <= (( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.85 (((op @ (op @ e0 @ e1) @ e0) != (e1)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl764])). 426.77/62.85 thf(zip_derived_cl4035, plain, 426.77/62.85 ((((op @ e0 @ e1) != (op @ e1 @ e0))) 426.77/62.85 <= (( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.85 (((op @ (op @ e0 @ e1) @ e0) != (e1)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl4030])). 426.77/62.85 thf(zip_derived_cl5119, plain, 426.77/62.85 ((((e1) != (op @ e1 @ e0))) 426.77/62.85 <= (( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.85 (((op @ (op @ e0 @ e1) @ e0) != (e1)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1637, zip_derived_cl4035])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl368, plain, (((e1) = (op @ e1 @ unit))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl352])). 426.77/62.85 thf(zip_derived_cl1636, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl368])). 426.77/62.85 thf(zip_derived_cl5124, plain, 426.77/62.85 ((((e1) != (e1))) 426.77/62.85 <= (( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.85 (((op @ (op @ e0 @ e1) @ e0) != (e1)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl5119, zip_derived_cl1636])). 426.77/62.85 thf('112', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.85 (((op @ (op @ e0 @ e1) @ e0) != (e1)))))) | 426.77/62.85 ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl5124])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl367, plain, (((op @ e2 @ unit) = (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl353])). 426.77/62.85 thf(zip_derived_cl1635, plain, 426.77/62.85 ((((op @ e2 @ e0) = (e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl367])). 426.77/62.85 thf(zip_derived_cl763, plain, 426.77/62.85 (( (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.85 (((op @ e0 @ e2) != (op @ e2 @ e0)))))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.85 (((op @ e0 @ e2) != (op @ e2 @ e0)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3990, plain, 426.77/62.85 (( (((op @ e0 @ e2) != (op @ e2 @ e0)))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.85 (((op @ e0 @ e2) != (op @ e2 @ e0)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl763])). 426.77/62.85 thf(zip_derived_cl3991, plain, 426.77/62.85 ((((op @ e0 @ e2) != (op @ e2 @ e0))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.85 (((op @ e0 @ e2) != (op @ e2 @ e0)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3990])). 426.77/62.85 thf(zip_derived_cl5054, plain, 426.77/62.85 ((((op @ e0 @ e2) != (e2))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.85 (((op @ e0 @ e2) != (op @ e2 @ e0)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1635, zip_derived_cl3991])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl362, plain, (((e2) = (op @ unit @ e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl359])). 426.77/62.85 thf(zip_derived_cl1630, plain, 426.77/62.85 ((((e2) = (op @ e0 @ e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl362])). 426.77/62.85 thf(zip_derived_cl5055, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= (( (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.85 (((op @ e0 @ e2) != (op @ e2 @ e0)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl5054, zip_derived_cl1630])). 426.77/62.85 thf('113', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.85 (((op @ e0 @ e2) != (op @ e2 @ e0)))))) | 426.77/62.85 ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl5055])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl366, plain, (((e4) = (op @ e4 @ unit))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl354])). 426.77/62.85 thf(zip_derived_cl1634, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl366])). 426.77/62.85 thf(zip_derived_cl762, plain, 426.77/62.85 (( (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.85 (((e4) != (op @ (op @ e0 @ e4) @ e0)))))) 426.77/62.85 <= (( (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.85 (((e4) != (op @ (op @ e0 @ e4) @ e0)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3954, plain, 426.77/62.85 (( (((op @ e0 @ e4) != (op @ e4 @ e0)))) 426.77/62.85 <= (( (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.85 (((e4) != (op @ (op @ e0 @ e4) @ e0)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl762])). 426.77/62.85 thf(zip_derived_cl3959, plain, 426.77/62.85 ((((op @ e0 @ e4) != (op @ e4 @ e0))) 426.77/62.85 <= (( (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.85 (((e4) != (op @ (op @ e0 @ e4) @ e0)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3954])). 426.77/62.85 thf(zip_derived_cl5024, plain, 426.77/62.85 ((((op @ e0 @ e4) != (e4))) 426.77/62.85 <= (( (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.85 (((e4) != (op @ (op @ e0 @ e4) @ e0)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1634, zip_derived_cl3959])). 426.77/62.85 thf(zip_derived_cl1542, plain, ((((e0) = (unit))) <= ((((e0) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl365, plain, (((op @ unit @ e4) = (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl356])). 426.77/62.85 thf(zip_derived_cl1633, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e4))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl365])). 426.77/62.85 thf(zip_derived_cl5025, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= (( (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.85 (((e4) != (op @ (op @ e0 @ e4) @ e0)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl5024, zip_derived_cl1633])). 426.77/62.85 thf('114', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.85 (((e4) != (op @ (op @ e0 @ e4) @ e0)))))) | 426.77/62.85 ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl5025])). 426.77/62.85 thf(zip_derived_cl1632, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl364])). 426.77/62.85 thf(zip_derived_cl997, plain, 426.77/62.85 ((((e3) = (op @ e3 @ e2))) <= ((((e3) = (op @ e3 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.85 thf(zip_derived_cl118, plain, ( (((op @ e3 @ e2) != (op @ e3 @ e0)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl193, plain, (((op @ e3 @ e2) != (op @ e3 @ e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl118])). 426.77/62.85 thf(zip_derived_cl1054, plain, 426.77/62.85 ((((e3) != (op @ e3 @ e0))) <= ((((e3) = (op @ e3 @ e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl997, zip_derived_cl193])). 426.77/62.85 thf(zip_derived_cl4969, plain, 426.77/62.85 ((((e3) != (e3))) <= ((((e3) = (op @ e3 @ e2))) & (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1632, zip_derived_cl1054])). 426.77/62.85 thf('115', plain, (~ (((e3) = (op @ e3 @ e2))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl4969])). 426.77/62.85 thf(zip_derived_cl1637, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e1))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl369])). 426.77/62.85 thf(zip_derived_cl761, plain, 426.77/62.85 (( (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.85 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.85 (((op @ e1 @ e0) != (op @ e0 @ e1)))))) 426.77/62.85 <= (( (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.85 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.85 (((op @ e1 @ e0) != (op @ e0 @ e1)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3933, plain, 426.77/62.85 (( (((op @ e1 @ e0) != (op @ e0 @ e1)))) 426.77/62.85 <= (( (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.85 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.85 (((op @ e1 @ e0) != (op @ e0 @ e1)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl761])). 426.77/62.85 thf(zip_derived_cl3934, plain, 426.77/62.85 ((((op @ e1 @ e0) != (op @ e0 @ e1))) 426.77/62.85 <= (( (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.85 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.85 (((op @ e1 @ e0) != (op @ e0 @ e1)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3933])). 426.77/62.85 thf(zip_derived_cl4885, plain, 426.77/62.85 ((((op @ e1 @ e0) != (e1))) 426.77/62.85 <= (( (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.85 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.85 (((op @ e1 @ e0) != (op @ e0 @ e1)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1637, zip_derived_cl3934])). 426.77/62.85 thf(zip_derived_cl1636, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl368])). 426.77/62.85 thf(zip_derived_cl4890, plain, 426.77/62.85 ((((e1) != (e1))) 426.77/62.85 <= (( (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.85 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.85 (((op @ e1 @ e0) != (op @ e0 @ e1)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl4885, zip_derived_cl1636])). 426.77/62.85 thf('116', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.85 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.85 (((op @ e1 @ e0) != (op @ e0 @ e1)))))) | 426.77/62.85 ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl4890])). 426.77/62.85 thf(zip_derived_cl1635, plain, 426.77/62.85 ((((op @ e2 @ e0) = (e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl367])). 426.77/62.85 thf(zip_derived_cl757, plain, 426.77/62.85 (( (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.85 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.85 (((op @ (op @ e2 @ e0) @ e0) = (e2)))))) 426.77/62.85 <= (( (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.85 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.85 (((op @ (op @ e2 @ e0) @ e0) = (e2)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3782, plain, 426.77/62.85 (( (((op @ e2 @ e0) != (op @ e0 @ e2)))) 426.77/62.85 <= (( (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.85 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.85 (((op @ (op @ e2 @ e0) @ e0) = (e2)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl757])). 426.77/62.85 thf(zip_derived_cl3787, plain, 426.77/62.85 ((((op @ e2 @ e0) != (op @ e0 @ e2))) 426.77/62.85 <= (( (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.85 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.85 (((op @ (op @ e2 @ e0) @ e0) = (e2)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3782])). 426.77/62.85 thf(zip_derived_cl4683, plain, 426.77/62.85 ((((e2) != (op @ e0 @ e2))) 426.77/62.85 <= (( (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.85 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.85 (((op @ (op @ e2 @ e0) @ e0) = (e2)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1635, zip_derived_cl3787])). 426.77/62.85 thf(zip_derived_cl1630, plain, 426.77/62.85 ((((e2) = (op @ e0 @ e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl362])). 426.77/62.85 thf(zip_derived_cl4684, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= (( (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.85 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.85 (((op @ (op @ e2 @ e0) @ e0) = (e2)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl4683, zip_derived_cl1630])). 426.77/62.85 thf('117', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.85 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.85 (((op @ (op @ e2 @ e0) @ e0) = (e2)))))) | 426.77/62.85 ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl4684])). 426.77/62.85 thf(zip_derived_cl1634, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl366])). 426.77/62.85 thf(zip_derived_cl751, plain, 426.77/62.85 (( (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.85 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e0) @ e0)))))) 426.77/62.85 <= (( (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.85 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e0) @ e0)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3627, plain, 426.77/62.85 (( (((op @ e4 @ e0) != (op @ e0 @ e4)))) 426.77/62.85 <= (( (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.85 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e0) @ e0)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl751])). 426.77/62.85 thf(zip_derived_cl3632, plain, 426.77/62.85 ((((op @ e4 @ e0) != (op @ e0 @ e4))) 426.77/62.85 <= (( (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.85 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e0) @ e0)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3627])). 426.77/62.85 thf(zip_derived_cl4055, plain, 426.77/62.85 ((((e4) != (op @ e0 @ e4))) 426.77/62.85 <= (( (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.85 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e0) @ e0)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1634, zip_derived_cl3632])). 426.77/62.85 thf(zip_derived_cl1633, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e4))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl365])). 426.77/62.85 thf(zip_derived_cl4056, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= (( (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.85 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e0) @ e0)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl4055, zip_derived_cl1633])). 426.77/62.85 thf('118', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.85 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e0) @ e0)))))) | 426.77/62.85 ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl4056])). 426.77/62.85 thf(zip_derived_cl1632, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl364])). 426.77/62.85 thf(zip_derived_cl750, plain, 426.77/62.85 (( (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.85 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.85 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3608, plain, 426.77/62.85 (( (((op @ e0 @ e3) != (op @ e3 @ e0)))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.85 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl750])). 426.77/62.85 thf(zip_derived_cl3609, plain, 426.77/62.85 ((((op @ e0 @ e3) != (op @ e3 @ e0))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.85 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3608])). 426.77/62.85 thf(zip_derived_cl3762, plain, 426.77/62.85 ((((op @ e0 @ e3) != (e3))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.85 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1632, zip_derived_cl3609])). 426.77/62.85 thf(zip_derived_cl1631, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl363])). 426.77/62.85 thf(zip_derived_cl3763, plain, 426.77/62.85 ((((e3) != (e3))) 426.77/62.85 <= (( (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.85 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) & 426.77/62.85 (((e0) = (unit))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl3762, zip_derived_cl1631])). 426.77/62.85 thf('119', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.85 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) | 426.77/62.85 ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl3763])). 426.77/62.85 thf(zip_derived_cl1635, plain, 426.77/62.85 ((((op @ e2 @ e0) = (e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl367])). 426.77/62.85 thf(zip_derived_cl1270, plain, 426.77/62.85 ((((op @ e2 @ e0) = (e0))) <= ((((op @ e2 @ e0) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1267])). 426.77/62.85 thf(zip_derived_cl3227, plain, 426.77/62.85 ((((e2) = (e0))) <= ((((op @ e2 @ e0) = (e0))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1635, zip_derived_cl1270])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('120', plain, (~ (((op @ e2 @ e0) = (e0))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3227, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl1634, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl366])). 426.77/62.85 thf(zip_derived_cl1066, plain, 426.77/62.85 ((((e1) = (op @ e4 @ e0))) <= ((((e1) = (op @ e4 @ e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.85 thf(zip_derived_cl3185, plain, 426.77/62.85 ((((e1) = (e4))) <= ((((e1) = (op @ e4 @ e0))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1634, zip_derived_cl1066])). 426.77/62.85 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.85 thf('121', plain, (~ (((e1) = (op @ e4 @ e0))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3185, zip_derived_cl50])). 426.77/62.85 thf(zip_derived_cl1630, plain, 426.77/62.85 ((((e2) = (op @ e0 @ e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl362])). 426.77/62.85 thf(zip_derived_cl1459, plain, 426.77/62.85 ((((op @ e0 @ e2) = (e0))) <= ((((op @ e0 @ e2) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.85 thf(zip_derived_cl3006, plain, 426.77/62.85 ((((e2) = (e0))) <= ((((op @ e0 @ e2) = (e0))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1630, zip_derived_cl1459])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('122', plain, (~ (((op @ e0 @ e2) = (e0))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3006, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl1630, plain, 426.77/62.85 ((((e2) = (op @ e0 @ e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl362])). 426.77/62.85 thf(zip_derived_cl1458, plain, 426.77/62.85 ((((op @ e0 @ e2) = (e3))) <= ((((op @ e0 @ e2) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.85 thf(zip_derived_cl3005, plain, 426.77/62.85 ((((e2) = (e3))) <= ((((op @ e0 @ e2) = (e3))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1630, zip_derived_cl1458])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('123', plain, (~ (((op @ e0 @ e2) = (e3))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3005, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1630, plain, 426.77/62.85 ((((e2) = (op @ e0 @ e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl362])). 426.77/62.85 thf(zip_derived_cl1456, plain, 426.77/62.85 ((((op @ e0 @ e2) = (e1))) <= ((((op @ e0 @ e2) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1455])). 426.77/62.85 thf(zip_derived_cl3004, plain, 426.77/62.85 ((((e2) = (e1))) <= ((((op @ e0 @ e2) = (e1))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1630, zip_derived_cl1456])). 426.77/62.85 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.85 thf('124', plain, (~ (((op @ e0 @ e2) = (e1))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3004, zip_derived_cl48])). 426.77/62.85 thf(zip_derived_cl1629, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl361])). 426.77/62.85 thf(zip_derived_cl1503, plain, 426.77/62.85 ((((op @ e0 @ e0) = (e1))) <= ((((op @ e0 @ e0) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1502])). 426.77/62.85 thf(zip_derived_cl2967, plain, 426.77/62.85 ((((e0) = (e1))) <= ((((op @ e0 @ e0) = (e1))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1629, zip_derived_cl1503])). 426.77/62.85 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.85 thf('125', plain, (~ (((op @ e0 @ e0) = (e1))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2967, zip_derived_cl45])). 426.77/62.85 thf('126', plain, 426.77/62.85 (( (((((op @ e3 @ (op @ e2 @ e3)) = (e2))) & 426.77/62.85 (((e3) != (op @ e2 @ (op @ e2 @ e3))))))) | 426.77/62.85 ( (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4)))))) | 426.77/62.85 ( (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3))))))) | 426.77/62.85 ( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3))))))) | 426.77/62.85 ( (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl716])). 426.77/62.85 thf(zip_derived_cl718, plain, 426.77/62.85 (( (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3))))))) 426.77/62.85 <= (( (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3))))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl716])). 426.77/62.85 thf(zip_derived_cl3292, plain, 426.77/62.85 (( (((e3) = (op @ e3 @ (op @ e3 @ e3))))) 426.77/62.85 <= (( (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3))))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl718])). 426.77/62.85 thf(zip_derived_cl3293, plain, 426.77/62.85 ((((e3) = (op @ e3 @ (op @ e3 @ e3)))) 426.77/62.85 <= (( (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3))))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3292])). 426.77/62.85 thf(zip_derived_cl3291, plain, 426.77/62.85 (( (((e3) != (op @ e3 @ (op @ e3 @ e3))))) 426.77/62.85 <= (( (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3))))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl718])). 426.77/62.85 thf(zip_derived_cl3294, plain, 426.77/62.85 ((((e3) != (op @ e3 @ (op @ e3 @ e3)))) 426.77/62.85 <= (( (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3))))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3291])). 426.77/62.85 thf('127', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e3) != (op @ e3 @ (op @ e3 @ e3)))) & 426.77/62.85 (((e3) = (op @ e3 @ (op @ e3 @ e3)))))))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3293, zip_derived_cl3294])). 426.77/62.85 thf(zip_derived_cl1299, plain, 426.77/62.85 ((((e0) = (op @ e1 @ e3))) <= ((((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl759, plain, 426.77/62.85 (( (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e3) = (e1)))))) 426.77/62.85 <= (( (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e3) = (e1)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3845, plain, 426.77/62.85 (( (((op @ (op @ e1 @ e3) @ e3) = (e1)))) 426.77/62.85 <= (( (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e3) = (e1)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl759])). 426.77/62.85 thf(zip_derived_cl3846, plain, 426.77/62.85 ((((op @ (op @ e1 @ e3) @ e3) = (e1))) 426.77/62.85 <= (( (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e3) = (e1)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3845])). 426.77/62.85 thf(zip_derived_cl7662, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e1))) 426.77/62.85 <= (( (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e3) = (e1)))))) & 426.77/62.85 (((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1299, zip_derived_cl3846])). 426.77/62.85 thf(zip_derived_cl1399, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl7764, plain, 426.77/62.85 ((((e3) = (e1))) 426.77/62.85 <= (( (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e3) = (e1)))))) & 426.77/62.85 (((e0) = (op @ e1 @ e3))) & 426.77/62.85 (((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl7662, zip_derived_cl1399])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('128', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e3) = (e1)))))) | 426.77/62.85 ~ (((e0) = (op @ e1 @ e3))) | ~ (((e3) = (op @ e0 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl7764, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl1399, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl747, plain, 426.77/62.85 (( (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) 426.77/62.85 <= (( (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3516, plain, 426.77/62.85 (( (((e0) = (op @ (op @ e0 @ e3) @ e3)))) 426.77/62.85 <= (( (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl747])). 426.77/62.85 thf(zip_derived_cl3519, plain, 426.77/62.85 ((((e0) = (op @ (op @ e0 @ e3) @ e3))) 426.77/62.85 <= (( (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3516])). 426.77/62.85 thf(zip_derived_cl6345, plain, 426.77/62.85 ((((e0) = (op @ e3 @ e3))) 426.77/62.85 <= (( (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) & 426.77/62.85 (((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1399, zip_derived_cl3519])). 426.77/62.85 thf(zip_derived_cl1040, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e4))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl6424, plain, 426.77/62.85 ((((e0) = (e4))) 426.77/62.85 <= (( (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) & 426.77/62.85 (((op @ e3 @ e3) = (e4))) & 426.77/62.85 (((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl6345, zip_derived_cl1040])). 426.77/62.85 thf(zip_derived_cl47, plain, (((e4) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 426.77/62.85 thf('129', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) | 426.77/62.85 ~ (((e3) = (op @ e0 @ e3))) | ~ (((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl6424, zip_derived_cl47])). 426.77/62.85 thf(zip_derived_cl1399, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl721, plain, 426.77/62.85 (( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3))))))) 426.77/62.85 <= (( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3))))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl716])). 426.77/62.85 thf(zip_derived_cl3386, plain, 426.77/62.85 (( (((e3) != (op @ e0 @ (op @ e0 @ e3))))) 426.77/62.85 <= (( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3))))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl721])). 426.77/62.85 thf(zip_derived_cl3389, plain, 426.77/62.85 ((((e3) != (op @ e0 @ (op @ e0 @ e3)))) 426.77/62.85 <= (( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3))))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3386])). 426.77/62.85 thf(zip_derived_cl5358, plain, 426.77/62.85 ((((e3) != (op @ e0 @ e3))) 426.77/62.85 <= (( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3))))))) & 426.77/62.85 (((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1399, zip_derived_cl3389])). 426.77/62.85 thf(zip_derived_cl1399, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl5364, plain, 426.77/62.85 ((((e3) != (e3))) 426.77/62.85 <= (( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3))))))) & 426.77/62.85 (((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl5358, zip_derived_cl1399])). 426.77/62.85 thf('130', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e3) != (op @ e0 @ (op @ e0 @ e3)))) & 426.77/62.85 (((e0) = (op @ e3 @ (op @ e0 @ e3))))))) | 426.77/62.85 ~ (((e3) = (op @ e0 @ e3)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl5364])). 426.77/62.85 thf(zip_derived_cl1299, plain, 426.77/62.85 ((((e0) = (op @ e1 @ e3))) <= ((((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl720, plain, 426.77/62.85 (( (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3))))))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3))))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl716])). 426.77/62.85 thf(zip_derived_cl3359, plain, 426.77/62.85 (( (((op @ e3 @ (op @ e1 @ e3)) = (e1)))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3))))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl720])). 426.77/62.85 thf(zip_derived_cl3362, plain, 426.77/62.85 ((((op @ e3 @ (op @ e1 @ e3)) = (e1))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3))))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3359])). 426.77/62.85 thf(zip_derived_cl6050, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e1))) 426.77/62.85 <= (( (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3))))))) & 426.77/62.85 (((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1299, zip_derived_cl3362])). 426.77/62.85 thf(zip_derived_cl194, plain, (((op @ e3 @ e0) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl117])). 426.77/62.85 thf('131', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e3 @ (op @ e1 @ e3)) = (e1))) & 426.77/62.85 (((e3) != (op @ e1 @ (op @ e1 @ e3))))))) | 426.77/62.85 ~ (((e0) = (op @ e1 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl6050, zip_derived_cl194])). 426.77/62.85 thf(zip_derived_cl671, plain, 426.77/62.85 ( (((((op @ e4 @ e3) = (e4))) | (((e4) = (op @ e3 @ e3))) | ($false) | 426.77/62.85 (((e4) = (op @ e1 @ e3))) | (((op @ e0 @ e3) = (e4)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2243, plain, 426.77/62.85 (( (((op @ e4 @ e3) = (e4))) 426.77/62.85 | (((e4) = (op @ e3 @ e3))) 426.77/62.85 | (((e4) = (op @ e1 @ e3))) 426.77/62.85 | (((op @ e0 @ e3) = (e4))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl671])). 426.77/62.85 thf(zip_derived_cl2244, plain, 426.77/62.85 ((((op @ e4 @ e3) = (e4)) 426.77/62.85 | ((e4) = (op @ e3 @ e3)) 426.77/62.85 | ((e4) = (op @ e1 @ e3)) 426.77/62.85 | ((op @ e0 @ e3) = (e4)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2243])). 426.77/62.85 thf('132', plain, 426.77/62.85 ((((op @ e1 @ e3) = (e4))) | (((op @ e0 @ e3) = (e4))) | 426.77/62.85 (((e4) = (op @ e4 @ e3))) | (((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2244])). 426.77/62.85 thf(zip_derived_cl1299, plain, 426.77/62.85 ((((e0) = (op @ e1 @ e3))) <= ((((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1295, plain, 426.77/62.85 ((((op @ e1 @ e3) = (e4))) <= ((((op @ e1 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1899, plain, 426.77/62.85 ((((e0) = (e4))) 426.77/62.85 <= ((((op @ e1 @ e3) = (e4))) & (((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1299, zip_derived_cl1295])). 426.77/62.85 thf(zip_derived_cl47, plain, (((e4) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 426.77/62.85 thf('133', plain, 426.77/62.85 (~ (((e0) = (op @ e1 @ e3))) | ~ (((op @ e1 @ e3) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1899, zip_derived_cl47])). 426.77/62.85 thf(zip_derived_cl1547, plain, 426.77/62.85 ((((op @ e1 @ e4) = (e4))) <= ((((unit) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl365])). 426.77/62.85 thf(zip_derived_cl260, plain, 426.77/62.85 (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl255])). 426.77/62.85 thf(zip_derived_cl420, plain, 426.77/62.85 (( (((op @ e1 @ (op @ e1 @ e4)) != (e4)))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl260])). 426.77/62.85 thf(zip_derived_cl421, plain, 426.77/62.85 ((((op @ e1 @ (op @ e1 @ e4)) != (e4))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl420])). 426.77/62.85 thf(zip_derived_cl2730, plain, 426.77/62.85 ((((op @ e1 @ e4) != (e4))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) & 426.77/62.85 (((unit) = (e1))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1547, zip_derived_cl421])). 426.77/62.85 thf(zip_derived_cl1547, plain, 426.77/62.85 ((((op @ e1 @ e4) = (e4))) <= ((((unit) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl365])). 426.77/62.85 thf(zip_derived_cl2738, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) & 426.77/62.85 (((unit) = (e1))))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl2730, zip_derived_cl1547])). 426.77/62.85 thf('134', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) | 426.77/62.85 ~ (((unit) = (e1)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl2738])). 426.77/62.85 thf(zip_derived_cl1546, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e3))) <= ((((unit) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl364])). 426.77/62.85 thf(zip_derived_cl383, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e3))) 426.77/62.85 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl380])). 426.77/62.85 thf(zip_derived_cl148, plain, ( (((op @ e3 @ e1) != (op @ e4 @ e1)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl165, plain, (((op @ e3 @ e1) != (op @ e4 @ e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl148])). 426.77/62.85 thf(zip_derived_cl389, plain, 426.77/62.85 ((((op @ e3 @ e1) != (e3))) 426.77/62.85 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl383, zip_derived_cl165])). 426.77/62.85 thf(zip_derived_cl2698, plain, 426.77/62.85 ((((e3) != (e3))) 426.77/62.85 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))) & 426.77/62.85 (((unit) = (e1))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1546, zip_derived_cl389])). 426.77/62.85 thf('135', plain, 426.77/62.85 (~ ( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))) | 426.77/62.85 ~ (((unit) = (e1)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl2698])). 426.77/62.85 thf(zip_derived_cl1539, plain, ((((unit) = (e3))) <= ((((unit) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl365, plain, (((op @ unit @ e4) = (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl356])). 426.77/62.85 thf(zip_derived_cl1560, plain, 426.77/62.85 ((((op @ e3 @ e4) = (e4))) <= ((((unit) = (e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1539, zip_derived_cl365])). 426.77/62.85 thf(zip_derived_cl18, plain, (((op @ e3 @ e4) = (e1))), 426.77/62.85 inference('demod', [status(thm)], 426.77/62.85 [zip_derived_cl14, zip_derived_cl12, zip_derived_cl16, 426.77/62.85 zip_derived_cl12])). 426.77/62.85 thf(zip_derived_cl1568, plain, ((((e1) = (e4))) <= ((((unit) = (e3))))), 426.77/62.85 inference('demod', [status(thm)], [zip_derived_cl1560, zip_derived_cl18])). 426.77/62.85 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.85 thf('136', plain, (~ (((unit) = (e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1568, zip_derived_cl50])). 426.77/62.85 thf(zip_derived_cl1540, plain, ((((unit) = (e4))) <= ((((unit) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl361, plain, (((e0) = (op @ unit @ e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl360])). 426.77/62.85 thf(zip_derived_cl1574, plain, 426.77/62.85 ((((e0) = (op @ e4 @ e0))) <= ((((unit) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1540, zip_derived_cl361])). 426.77/62.85 thf(zip_derived_cl204, plain, (((op @ e4 @ e0) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl107])). 426.77/62.85 thf('137', plain, (~ (((unit) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1574, zip_derived_cl204])). 426.77/62.85 thf(zip_derived_cl1541, plain, ((((e2) = (unit))) <= ((((e2) = (unit))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl363, plain, (((e3) = (op @ unit @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl358])). 426.77/62.85 thf(zip_derived_cl1602, plain, 426.77/62.85 ((((e3) = (op @ e2 @ e3))) <= ((((e2) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1541, zip_derived_cl363])). 426.77/62.85 thf(zip_derived_cl191, plain, (((e3) != (op @ e2 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl120])). 426.77/62.85 thf('138', plain, (~ (((e2) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1602, zip_derived_cl191])). 426.77/62.85 thf(zip_derived_cl1197, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e4))) <= ((((op @ e3 @ e1) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.85 thf(zip_derived_cl381, plain, 426.77/62.85 (( (((op @ e3 @ e1) != (e4)))) 426.77/62.85 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl257])). 426.77/62.85 thf(zip_derived_cl382, plain, 426.77/62.85 ((((op @ e3 @ e1) != (e4))) 426.77/62.85 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl381])). 426.77/62.85 thf(zip_derived_cl1682, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))) & 426.77/62.85 (((op @ e3 @ e1) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1197, zip_derived_cl382])). 426.77/62.85 thf('139', plain, 426.77/62.85 (~ (((op @ e3 @ e1) = (e4))) | 426.77/62.85 ~ ( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4))))))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl1682])). 426.77/62.85 thf(zip_derived_cl679, plain, 426.77/62.85 ( (((((e3) = (op @ e4 @ e0))) | (((e3) = (op @ e4 @ e1))) | 426.77/62.85 (((op @ e4 @ e2) = (e3))) | (((op @ e4 @ e3) = (e3))) | ($false)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2411, plain, 426.77/62.85 (( (((e3) = (op @ e4 @ e0))) 426.77/62.85 | (((e3) = (op @ e4 @ e1))) 426.77/62.85 | (((op @ e4 @ e2) = (e3))) 426.77/62.85 | (((op @ e4 @ e3) = (e3))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl679])). 426.77/62.85 thf(zip_derived_cl2412, plain, 426.77/62.85 ((((e3) = (op @ e4 @ e0)) 426.77/62.85 | ((e3) = (op @ e4 @ e1)) 426.77/62.85 | ((op @ e4 @ e2) = (e3)) 426.77/62.85 | ((op @ e4 @ e3) = (e3)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2411])). 426.77/62.85 thf('140', plain, 426.77/62.85 ((((e3) = (op @ e4 @ e2))) | (((op @ e4 @ e1) = (e3))) | 426.77/62.85 (((op @ e4 @ e3) = (e3))) | (((op @ e4 @ e0) = (e3)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2412])). 426.77/62.85 thf(zip_derived_cl1150, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e3))) <= ((((op @ e4 @ e1) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl1149, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e2))) <= ((((op @ e4 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl1496, plain, 426.77/62.85 ((((e3) = (e2))) 426.77/62.85 <= ((((op @ e4 @ e1) = (e2))) & (((op @ e4 @ e1) = (e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1150, zip_derived_cl1149])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('141', plain, 426.77/62.85 (~ (((op @ e4 @ e1) = (e2))) | ~ (((op @ e4 @ e1) = (e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1496, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1149, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e2))) <= ((((op @ e4 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl383, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e3))) 426.77/62.85 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl380])). 426.77/62.85 thf(zip_derived_cl1468, plain, 426.77/62.85 ((((e2) = (e3))) 426.77/62.85 <= (( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))) & 426.77/62.85 (((op @ e4 @ e1) = (e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1149, zip_derived_cl383])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('142', plain, 426.77/62.85 (~ (((op @ e4 @ e1) = (e2))) | 426.77/62.85 ~ ( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4))))))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1468, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1099, plain, 426.77/62.85 ((((e3) = (op @ e4 @ e2))) <= ((((e3) = (op @ e4 @ e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.85 thf(zip_derived_cl592, plain, 426.77/62.85 ((((op @ e1 @ e4) = (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl419, plain, 426.77/62.85 (( (((e1) = (op @ e4 @ (op @ e1 @ e4))))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl260])). 426.77/62.85 thf(zip_derived_cl422, plain, 426.77/62.85 ((((e1) = (op @ e4 @ (op @ e1 @ e4)))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl419])). 426.77/62.85 thf(zip_derived_cl602, plain, 426.77/62.85 ((((e1) = (op @ e4 @ e2))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) & 426.77/62.85 (((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl592, zip_derived_cl422])). 426.77/62.85 thf(zip_derived_cl1346, plain, 426.77/62.85 ((((e1) = (e3))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) & 426.77/62.85 (((op @ e1 @ e4) = (e2))) & 426.77/62.85 (((e3) = (op @ e4 @ e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1099, zip_derived_cl602])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('143', plain, 426.77/62.85 (~ (((e3) = (op @ e4 @ e2))) | 426.77/62.85 ~ 426.77/62.85 ( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) | 426.77/62.85 ~ (((op @ e1 @ e4) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1346, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl670, plain, 426.77/62.85 ( (((((e4) = (op @ e3 @ e0))) | (((op @ e3 @ e1) = (e4))) | 426.77/62.85 (((op @ e3 @ e3) = (e4))) | ($false) | ($false)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2208, plain, 426.77/62.85 (( (((e4) = (op @ e3 @ e0))) 426.77/62.85 | (((op @ e3 @ e1) = (e4))) 426.77/62.85 | (((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl670])). 426.77/62.85 thf(zip_derived_cl2209, plain, 426.77/62.85 ((((e4) = (op @ e3 @ e0)) 426.77/62.85 | ((op @ e3 @ e1) = (e4)) 426.77/62.85 | ((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2208])). 426.77/62.85 thf('144', plain, 426.77/62.85 ((((op @ e3 @ e1) = (e4))) | (((op @ e3 @ e0) = (e4))) | 426.77/62.85 (((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2209])). 426.77/62.85 thf(zip_derived_cl1632, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl364])). 426.77/62.85 thf(zip_derived_cl947, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e4))) <= ((((op @ e3 @ e0) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl945])). 426.77/62.85 thf(zip_derived_cl3098, plain, 426.77/62.85 ((((e3) = (e4))) <= ((((op @ e3 @ e0) = (e4))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl947])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('145', plain, (~ (((op @ e3 @ e0) = (e4))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3098, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl1097, plain, 426.77/62.85 ((((op @ e4 @ e2) = (e2))) <= ((((op @ e4 @ e2) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.85 thf(zip_derived_cl602, plain, 426.77/62.85 ((((e1) = (op @ e4 @ e2))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) & 426.77/62.85 (((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl592, zip_derived_cl422])). 426.77/62.85 thf(zip_derived_cl1310, plain, 426.77/62.85 ((((e1) = (e2))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) & 426.77/62.85 (((op @ e1 @ e4) = (e2))) & 426.77/62.85 (((op @ e4 @ e2) = (e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1097, zip_derived_cl602])). 426.77/62.85 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.85 thf('146', plain, 426.77/62.85 (~ (((op @ e4 @ e2) = (e2))) | 426.77/62.85 ~ 426.77/62.85 ( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) | 426.77/62.85 ~ (((op @ e1 @ e4) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1310, zip_derived_cl48])). 426.77/62.85 thf(zip_derived_cl593, plain, 426.77/62.85 ((((e4) = (op @ e1 @ e4))) <= ((((e4) = (op @ e1 @ e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl421, plain, 426.77/62.85 ((((op @ e1 @ (op @ e1 @ e4)) != (e4))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl420])). 426.77/62.85 thf(zip_derived_cl635, plain, 426.77/62.85 ((((op @ e1 @ e4) != (e4))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) & 426.77/62.85 (((e4) = (op @ e1 @ e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl593, zip_derived_cl421])). 426.77/62.85 thf(zip_derived_cl593, plain, 426.77/62.85 ((((e4) = (op @ e1 @ e4))) <= ((((e4) = (op @ e1 @ e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl639, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) & 426.77/62.85 (((e4) = (op @ e1 @ e4))))), 426.77/62.85 inference('demod', [status(thm)], [zip_derived_cl635, zip_derived_cl593])). 426.77/62.85 thf('147', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) | 426.77/62.85 ~ (((e4) = (op @ e1 @ e4)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl639])). 426.77/62.85 thf(zip_derived_cl258, plain, 426.77/62.85 (( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4)))))) 426.77/62.85 <= (( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl255])). 426.77/62.85 thf(zip_derived_cl397, plain, 426.77/62.85 (( (((op @ e4 @ e0) = (e4)))) 426.77/62.85 <= (( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl258])). 426.77/62.85 thf(zip_derived_cl398, plain, 426.77/62.85 ((((op @ e4 @ e0) = (e4))) 426.77/62.85 <= (( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl397])). 426.77/62.85 thf(zip_derived_cl396, plain, 426.77/62.85 (( (((e4) != (op @ e4 @ e0)))) 426.77/62.85 <= (( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl258])). 426.77/62.85 thf(zip_derived_cl399, plain, 426.77/62.85 ((((e4) != (op @ e4 @ e0))) 426.77/62.85 <= (( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl396])). 426.77/62.85 thf('148', plain, 426.77/62.85 (~ ( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4))))))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl398, zip_derived_cl399])). 426.77/62.85 thf(zip_derived_cl816, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e4))) <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl814])). 426.77/62.85 thf(zip_derived_cl259, plain, 426.77/62.85 (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))) 426.77/62.85 <= (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl255])). 426.77/62.85 thf(zip_derived_cl404, plain, 426.77/62.85 (( (((op @ e0 @ (op @ e0 @ e4)) != (e4)))) 426.77/62.85 <= (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl259])). 426.77/62.85 thf(zip_derived_cl405, plain, 426.77/62.85 ((((op @ e0 @ (op @ e0 @ e4)) != (e4))) 426.77/62.85 <= (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl404])). 426.77/62.85 thf(zip_derived_cl845, plain, 426.77/62.85 ((((op @ e0 @ e4) != (e4))) 426.77/62.85 <= (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))) & 426.77/62.85 (((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl816, zip_derived_cl405])). 426.77/62.85 thf(zip_derived_cl816, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e4))) <= ((((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl814])). 426.77/62.85 thf(zip_derived_cl849, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))) & 426.77/62.85 (((op @ e0 @ e4) = (e4))))), 426.77/62.85 inference('demod', [status(thm)], [zip_derived_cl845, zip_derived_cl816])). 426.77/62.85 thf('149', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))) | 426.77/62.85 ~ (((op @ e0 @ e4) = (e4)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl849])). 426.77/62.85 thf(zip_derived_cl815, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e2))) <= ((((op @ e0 @ e4) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl814])). 426.77/62.85 thf(zip_derived_cl403, plain, 426.77/62.85 (( (((e0) = (op @ e4 @ (op @ e0 @ e4))))) 426.77/62.85 <= (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl259])). 426.77/62.85 thf(zip_derived_cl406, plain, 426.77/62.85 ((((e0) = (op @ e4 @ (op @ e0 @ e4)))) 426.77/62.85 <= (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl403])). 426.77/62.85 thf(zip_derived_cl826, plain, 426.77/62.85 ((((e0) = (op @ e4 @ e2))) 426.77/62.85 <= (( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))) & 426.77/62.85 (((op @ e0 @ e4) = (e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl815, zip_derived_cl406])). 426.77/62.85 thf(zip_derived_cl200, plain, (((e0) != (op @ e4 @ e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl111])). 426.77/62.85 thf('150', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))) | 426.77/62.85 ~ (((op @ e0 @ e4) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl826, zip_derived_cl200])). 426.77/62.85 thf('151', plain, ((((op @ e0 @ e4) = (e4))) | (((op @ e0 @ e4) = (e2)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl814])). 426.77/62.85 thf(zip_derived_cl1097, plain, 426.77/62.85 ((((op @ e4 @ e2) = (e2))) <= ((((op @ e4 @ e2) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.85 thf(zip_derived_cl291, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl288])). 426.77/62.85 thf(zip_derived_cl109, plain, ( (((op @ e4 @ e3) != (op @ e4 @ e2)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl202, plain, (((op @ e4 @ e3) != (op @ e4 @ e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl109])). 426.77/62.85 thf(zip_derived_cl375, plain, 426.77/62.85 ((((e2) != (op @ e4 @ e2))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl291, zip_derived_cl202])). 426.77/62.85 thf(zip_derived_cl1307, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))) & 426.77/62.85 (((op @ e4 @ e2) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1097, zip_derived_cl375])). 426.77/62.85 thf('152', plain, 426.77/62.85 (~ (((op @ e4 @ e2) = (e2))) | 426.77/62.85 ~ ( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl1307])). 426.77/62.85 thf('153', plain, ((((e4) = (op @ e1 @ e4))) | (((op @ e1 @ e4) = (e2)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl591])). 426.77/62.85 thf(zip_derived_cl1400, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e3))) <= ((((e0) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl1396, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e1))) <= ((((op @ e0 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl2225, plain, 426.77/62.85 ((((e0) = (e1))) 426.77/62.85 <= ((((op @ e0 @ e3) = (e1))) & (((e0) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1400, zip_derived_cl1396])). 426.77/62.85 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.85 thf('154', plain, 426.77/62.85 (~ (((e0) = (op @ e0 @ e3))) | ~ (((op @ e0 @ e3) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2225, zip_derived_cl45])). 426.77/62.85 thf(zip_derived_cl1397, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e2))) <= ((((op @ e0 @ e3) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl1396, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e1))) <= ((((op @ e0 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl2148, plain, 426.77/62.85 ((((e2) = (e1))) 426.77/62.85 <= ((((op @ e0 @ e3) = (e1))) & (((op @ e0 @ e3) = (e2))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1397, zip_derived_cl1396])). 426.77/62.85 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.85 thf('155', plain, 426.77/62.85 (~ (((op @ e0 @ e3) = (e2))) | ~ (((op @ e0 @ e3) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2148, zip_derived_cl48])). 426.77/62.85 thf(zip_derived_cl1400, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e3))) <= ((((e0) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl1397, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e2))) <= ((((op @ e0 @ e3) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl2226, plain, 426.77/62.85 ((((e0) = (e2))) 426.77/62.85 <= ((((op @ e0 @ e3) = (e2))) & (((e0) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1400, zip_derived_cl1397])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('156', plain, 426.77/62.85 (~ (((e0) = (op @ e0 @ e3))) | ~ (((op @ e0 @ e3) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2226, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl1298, plain, 426.77/62.85 ((((e3) = (op @ e1 @ e3))) <= ((((e3) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1296, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e3))) <= ((((e1) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1875, plain, 426.77/62.85 ((((e1) = (e3))) 426.77/62.85 <= ((((e1) = (op @ e1 @ e3))) & (((e3) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1298, zip_derived_cl1296])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('157', plain, 426.77/62.85 (~ (((e1) = (op @ e1 @ e3))) | ~ (((e3) = (op @ e1 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1875, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl1242, plain, 426.77/62.85 ((((op @ e2 @ e3) = (e0))) <= ((((op @ e2 @ e3) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl1241, plain, 426.77/62.85 ((((op @ e2 @ e3) = (e1))) <= ((((op @ e2 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl1720, plain, 426.77/62.85 ((((e0) = (e1))) 426.77/62.85 <= ((((op @ e2 @ e3) = (e1))) & (((op @ e2 @ e3) = (e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1242, zip_derived_cl1241])). 426.77/62.85 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.85 thf('158', plain, 426.77/62.85 (~ (((op @ e2 @ e3) = (e0))) | ~ (((op @ e2 @ e3) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1720, zip_derived_cl45])). 426.77/62.85 thf(zip_derived_cl1297, plain, 426.77/62.85 ((((e2) = (op @ e1 @ e3))) <= ((((e2) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1296, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e3))) <= ((((e1) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1857, plain, 426.77/62.85 ((((e1) = (e2))) 426.77/62.85 <= ((((e1) = (op @ e1 @ e3))) & (((e2) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1297, zip_derived_cl1296])). 426.77/62.85 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.85 thf('159', plain, 426.77/62.85 (~ (((e2) = (op @ e1 @ e3))) | ~ (((e1) = (op @ e1 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1857, zip_derived_cl48])). 426.77/62.85 thf(zip_derived_cl1299, plain, 426.77/62.85 ((((e0) = (op @ e1 @ e3))) <= ((((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1297, plain, 426.77/62.85 ((((e2) = (op @ e1 @ e3))) <= ((((e2) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1901, plain, 426.77/62.85 ((((e2) = (e0))) 426.77/62.85 <= ((((e2) = (op @ e1 @ e3))) & (((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1299, zip_derived_cl1297])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('160', plain, 426.77/62.85 (~ (((e2) = (op @ e1 @ e3))) | ~ (((e0) = (op @ e1 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1901, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl1299, plain, 426.77/62.85 ((((e0) = (op @ e1 @ e3))) <= ((((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1296, plain, 426.77/62.85 ((((e1) = (op @ e1 @ e3))) <= ((((e1) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1900, plain, 426.77/62.85 ((((e1) = (e0))) 426.77/62.85 <= ((((e1) = (op @ e1 @ e3))) & (((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1299, zip_derived_cl1296])). 426.77/62.85 thf(zip_derived_cl45, plain, (((e0) != (e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl44])). 426.77/62.85 thf('161', plain, 426.77/62.85 (~ (((e1) = (op @ e1 @ e3))) | ~ (((e0) = (op @ e1 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1900, zip_derived_cl45])). 426.77/62.85 thf(zip_derived_cl682, plain, 426.77/62.85 ( (((((op @ e0 @ e3) = (e3))) | (((e3) = (op @ e3 @ e3))) | 426.77/62.85 (((e3) = (op @ e4 @ e3))) | ($false) | (((op @ e1 @ e3) = (e3)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2499, plain, 426.77/62.85 (( (((op @ e0 @ e3) = (e3))) 426.77/62.85 | (((e3) = (op @ e3 @ e3))) 426.77/62.85 | (((e3) = (op @ e4 @ e3))) 426.77/62.85 | (((op @ e1 @ e3) = (e3))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl682])). 426.77/62.85 thf(zip_derived_cl2500, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e3)) 426.77/62.85 | ((e3) = (op @ e3 @ e3)) 426.77/62.85 | ((e3) = (op @ e4 @ e3)) 426.77/62.85 | ((op @ e1 @ e3) = (e3)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2499])). 426.77/62.85 thf('162', plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) | (((e3) = (op @ e1 @ e3))) | 426.77/62.85 (((op @ e3 @ e3) = (e3))) | (((op @ e4 @ e3) = (e3)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2500])). 426.77/62.85 thf(zip_derived_cl1243, plain, 426.77/62.85 ((((e2) = (op @ e2 @ e3))) <= ((((e2) = (op @ e2 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl1241, plain, 426.77/62.85 ((((op @ e2 @ e3) = (e1))) <= ((((op @ e2 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl1733, plain, 426.77/62.85 ((((e2) = (e1))) 426.77/62.85 <= ((((op @ e2 @ e3) = (e1))) & (((e2) = (op @ e2 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1243, zip_derived_cl1241])). 426.77/62.85 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.85 thf('163', plain, 426.77/62.85 (~ (((e2) = (op @ e2 @ e3))) | ~ (((op @ e2 @ e3) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1733, zip_derived_cl48])). 426.77/62.85 thf(zip_derived_cl1298, plain, 426.77/62.85 ((((e3) = (op @ e1 @ e3))) <= ((((e3) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1297, plain, 426.77/62.85 ((((e2) = (op @ e1 @ e3))) <= ((((e2) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1876, plain, 426.77/62.85 ((((e2) = (e3))) 426.77/62.85 <= ((((e2) = (op @ e1 @ e3))) & (((e3) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1298, zip_derived_cl1297])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('164', plain, 426.77/62.85 (~ (((e2) = (op @ e1 @ e3))) | ~ (((e3) = (op @ e1 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1876, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1299, plain, 426.77/62.85 ((((e0) = (op @ e1 @ e3))) <= ((((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1298, plain, 426.77/62.85 ((((e3) = (op @ e1 @ e3))) <= ((((e3) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1902, plain, 426.77/62.85 ((((e3) = (e0))) 426.77/62.85 <= ((((e3) = (op @ e1 @ e3))) & (((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1299, zip_derived_cl1298])). 426.77/62.85 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.85 thf('165', plain, 426.77/62.85 (~ (((e0) = (op @ e1 @ e3))) | ~ (((e3) = (op @ e1 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1902, zip_derived_cl54])). 426.77/62.85 thf(zip_derived_cl683, plain, 426.77/62.85 ( (((((e2) = (op @ e2 @ e3))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.85 (((op @ e3 @ e3) = (e2))) | (((e2) = (op @ e1 @ e3))) | 426.77/62.85 (((op @ e0 @ e3) = (e2)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2539, plain, 426.77/62.85 (( (((e2) = (op @ e2 @ e3))) 426.77/62.85 | (((e2) = (op @ e4 @ e3))) 426.77/62.85 | (((op @ e3 @ e3) = (e2))) 426.77/62.85 | (((e2) = (op @ e1 @ e3))) 426.77/62.85 | (((op @ e0 @ e3) = (e2))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl683])). 426.77/62.85 thf(zip_derived_cl2540, plain, 426.77/62.85 ((((e2) = (op @ e2 @ e3)) 426.77/62.85 | ((e2) = (op @ e4 @ e3)) 426.77/62.85 | ((op @ e3 @ e3) = (e2)) 426.77/62.85 | ((e2) = (op @ e1 @ e3)) 426.77/62.85 | ((op @ e0 @ e3) = (e2)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2539])). 426.77/62.85 thf('166', plain, 426.77/62.85 ((((e2) = (op @ e3 @ e3))) | (((e2) = (op @ e2 @ e3))) | 426.77/62.85 (((op @ e0 @ e3) = (e2))) | (((e2) = (op @ e4 @ e3))) | 426.77/62.85 (((e2) = (op @ e1 @ e3)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2540])). 426.77/62.85 thf(zip_derived_cl668, plain, 426.77/62.85 ( (((((op @ e1 @ e3) = (e0))) | ($false) | (((op @ e3 @ e3) = (e0))) | 426.77/62.85 (((e0) = (op @ e2 @ e3))) | (((e0) = (op @ e0 @ e3)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2116, plain, 426.77/62.85 (( (((op @ e1 @ e3) = (e0))) 426.77/62.85 | (((op @ e3 @ e3) = (e0))) 426.77/62.85 | (((e0) = (op @ e2 @ e3))) 426.77/62.85 | (((e0) = (op @ e0 @ e3))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl668])). 426.77/62.85 thf(zip_derived_cl2117, plain, 426.77/62.85 ((((op @ e1 @ e3) = (e0)) 426.77/62.85 | ((op @ e3 @ e3) = (e0)) 426.77/62.85 | ((e0) = (op @ e2 @ e3)) 426.77/62.85 | ((e0) = (op @ e0 @ e3)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2116])). 426.77/62.85 thf('167', plain, 426.77/62.85 ((((op @ e2 @ e3) = (e0))) | (((e0) = (op @ e0 @ e3))) | 426.77/62.85 (((op @ e3 @ e3) = (e0))) | (((e0) = (op @ e1 @ e3)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2117])). 426.77/62.85 thf(zip_derived_cl1243, plain, 426.77/62.85 ((((e2) = (op @ e2 @ e3))) <= ((((e2) = (op @ e2 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl1242, plain, 426.77/62.85 ((((op @ e2 @ e3) = (e0))) <= ((((op @ e2 @ e3) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl1734, plain, 426.77/62.85 ((((e2) = (e0))) 426.77/62.85 <= ((((op @ e2 @ e3) = (e0))) & (((e2) = (op @ e2 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1243, zip_derived_cl1242])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('168', plain, 426.77/62.85 (~ (((e2) = (op @ e2 @ e3))) | ~ (((op @ e2 @ e3) = (e0)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1734, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl1400, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e3))) <= ((((e0) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl1399, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl2228, plain, 426.77/62.85 ((((e3) = (e0))) 426.77/62.85 <= ((((e3) = (op @ e0 @ e3))) & (((e0) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1400, zip_derived_cl1399])). 426.77/62.85 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.85 thf('169', plain, 426.77/62.85 (~ (((e0) = (op @ e0 @ e3))) | ~ (((e3) = (op @ e0 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2228, zip_derived_cl54])). 426.77/62.85 thf(zip_derived_cl1399, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl1397, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e2))) <= ((((op @ e0 @ e3) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl2196, plain, 426.77/62.85 ((((e3) = (e2))) 426.77/62.85 <= ((((op @ e0 @ e3) = (e2))) & (((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1399, zip_derived_cl1397])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('170', plain, 426.77/62.85 (~ (((op @ e0 @ e3) = (e2))) | ~ (((e3) = (op @ e0 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2196, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1399, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl1396, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e1))) <= ((((op @ e0 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl2195, plain, 426.77/62.85 ((((e3) = (e1))) 426.77/62.85 <= ((((op @ e0 @ e3) = (e1))) & (((e3) = (op @ e0 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1399, zip_derived_cl1396])). 426.77/62.85 thf(zip_derived_cl49, plain, (((e1) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl40])). 426.77/62.85 thf('171', plain, 426.77/62.85 (~ (((op @ e0 @ e3) = (e1))) | ~ (((e3) = (op @ e0 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2195, zip_derived_cl49])). 426.77/62.85 thf(zip_derived_cl1041, plain, 426.77/62.85 ((((e2) = (op @ e3 @ e3))) <= ((((e2) = (op @ e3 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1040, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e4))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1184, plain, 426.77/62.85 ((((e2) = (e4))) 426.77/62.85 <= ((((op @ e3 @ e3) = (e4))) & (((e2) = (op @ e3 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1041, zip_derived_cl1040])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf('172', plain, 426.77/62.85 (~ (((op @ e3 @ e3) = (e4))) | ~ (((e2) = (op @ e3 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1184, zip_derived_cl51])). 426.77/62.85 thf(zip_derived_cl1040, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e4))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1038, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e3))) <= ((((op @ e3 @ e3) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1165, plain, 426.77/62.85 ((((e4) = (e3))) 426.77/62.85 <= ((((op @ e3 @ e3) = (e3))) & (((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1040, zip_derived_cl1038])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('173', plain, 426.77/62.85 (~ (((op @ e3 @ e3) = (e3))) | ~ (((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1165, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl685, plain, 426.77/62.85 ( (((((e1) = (op @ e2 @ e3))) | ($false) | (((op @ e4 @ e3) = (e1))) | 426.77/62.85 (((op @ e1 @ e3) = (e1))) | (((op @ e0 @ e3) = (e1)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2613, plain, 426.77/62.85 (( (((e1) = (op @ e2 @ e3))) 426.77/62.85 | (((op @ e4 @ e3) = (e1))) 426.77/62.85 | (((op @ e1 @ e3) = (e1))) 426.77/62.85 | (((op @ e0 @ e3) = (e1))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl685])). 426.77/62.85 thf(zip_derived_cl2614, plain, 426.77/62.85 ((((e1) = (op @ e2 @ e3)) 426.77/62.85 | ((op @ e4 @ e3) = (e1)) 426.77/62.85 | ((op @ e1 @ e3) = (e1)) 426.77/62.85 | ((op @ e0 @ e3) = (e1)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2613])). 426.77/62.85 thf('174', plain, 426.77/62.85 ((((op @ e2 @ e3) = (e1))) | (((op @ e4 @ e3) = (e1))) | 426.77/62.85 (((e1) = (op @ e1 @ e3))) | (((op @ e0 @ e3) = (e1)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2614])). 426.77/62.85 thf(zip_derived_cl568, plain, 426.77/62.85 ( ((($false) | (((e2) = (op @ e4 @ e3))) | (((op @ e4 @ e3) = (e3))) | 426.77/62.85 (((e4) = (op @ e4 @ e3))) | (((op @ e4 @ e3) = (e1)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl556])). 426.77/62.85 thf(zip_derived_cl1119, plain, 426.77/62.85 (( (((e2) = (op @ e4 @ e3))) 426.77/62.85 | (((op @ e4 @ e3) = (e3))) 426.77/62.85 | (((e4) = (op @ e4 @ e3))) 426.77/62.85 | (((op @ e4 @ e3) = (e1))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl568])). 426.77/62.85 thf(zip_derived_cl1120, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3)) 426.77/62.85 | ((op @ e4 @ e3) = (e3)) 426.77/62.85 | ((e4) = (op @ e4 @ e3)) 426.77/62.85 | ((op @ e4 @ e3) = (e1)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl1119])). 426.77/62.85 thf(zip_derived_cl1124, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e3))) <= ((((e4) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1123, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1431, plain, 426.77/62.85 ((((e2) = (e4))) 426.77/62.85 <= ((((e2) = (op @ e4 @ e3))) & (((e4) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1124, zip_derived_cl1123])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf('175', plain, 426.77/62.85 (~ (((e4) = (op @ e4 @ e3))) | ~ (((e2) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1431, zip_derived_cl51])). 426.77/62.85 thf(zip_derived_cl1124, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e3))) <= ((((e4) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1122, plain, 426.77/62.85 ((((op @ e4 @ e3) = (e3))) <= ((((op @ e4 @ e3) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1430, plain, 426.77/62.85 ((((e4) = (e3))) 426.77/62.85 <= ((((op @ e4 @ e3) = (e3))) & (((e4) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1124, zip_derived_cl1122])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('176', plain, 426.77/62.85 (~ (((op @ e4 @ e3) = (e3))) | ~ (((e4) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1430, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl1124, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e3))) <= ((((e4) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1121, plain, 426.77/62.85 ((((op @ e4 @ e3) = (e1))) <= ((((op @ e4 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1429, plain, 426.77/62.85 ((((e4) = (e1))) 426.77/62.85 <= ((((op @ e4 @ e3) = (e1))) & (((e4) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1124, zip_derived_cl1121])). 426.77/62.85 thf(zip_derived_cl50, plain, (((e1) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl39])). 426.77/62.85 thf('177', plain, 426.77/62.85 (~ (((op @ e4 @ e3) = (e1))) | ~ (((e4) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1429, zip_derived_cl50])). 426.77/62.85 thf(zip_derived_cl1124, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e3))) <= ((((e4) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl291, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl288])). 426.77/62.85 thf(zip_derived_cl1426, plain, 426.77/62.85 ((((e2) = (e4))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))) & 426.77/62.85 (((e4) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1124, zip_derived_cl291])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf('178', plain, 426.77/62.85 (~ (((e4) = (op @ e4 @ e3))) | 426.77/62.85 ~ ( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1426, zip_derived_cl51])). 426.77/62.85 thf('179', plain, 426.77/62.85 (( (((((e1) = (op @ e4 @ (op @ e1 @ e4)))) & 426.77/62.85 (((op @ e1 @ (op @ e1 @ e4)) != (e4)))))) | 426.77/62.85 ( (((((op @ e4 @ e1) = (e3))) & (((op @ e3 @ e1) != (e4)))))) | 426.77/62.85 ( (((((e4) != (op @ e4 @ e0))) & (((op @ e4 @ e0) = (e4)))))) | 426.77/62.85 ( (((((e0) = (op @ e4 @ (op @ e0 @ e4)))) & 426.77/62.85 (((op @ e0 @ (op @ e0 @ e4)) != (e4)))))) | 426.77/62.85 ( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl255])). 426.77/62.85 thf(zip_derived_cl1545, plain, 426.77/62.85 ((((e3) = (op @ e1 @ e3))) <= ((((unit) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl363])). 426.77/62.85 thf(zip_derived_cl1299, plain, 426.77/62.85 ((((e0) = (op @ e1 @ e3))) <= ((((e0) = (op @ e1 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl2669, plain, 426.77/62.85 ((((e0) = (e3))) <= ((((e0) = (op @ e1 @ e3))) & (((unit) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1545, zip_derived_cl1299])). 426.77/62.85 thf(zip_derived_cl54, plain, (((e0) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl35])). 426.77/62.85 thf('180', plain, (~ (((e0) = (op @ e1 @ e3))) | ~ (((unit) = (e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2669, zip_derived_cl54])). 426.77/62.85 thf('181', plain, 426.77/62.85 (( (((((op @ e3 @ e2) != (op @ e2 @ e3))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e3) = (e2))) & 426.77/62.85 (((op @ (op @ e2 @ e3) @ e2) != (e3)))))) | 426.77/62.85 ( (((((e4) = (op @ (op @ e4 @ e1) @ e1))) & 426.77/62.85 (((e1) != (op @ (op @ e4 @ e1) @ e4))) & 426.77/62.85 (((op @ e1 @ e4) != (op @ e4 @ e1)))))) | 426.77/62.85 ( (((((op @ e4 @ e2) != (e3))) & ($true) & ($false)))) | 426.77/62.85 ( (((((op @ e4 @ e3) != (e1))) & ($false) & (((op @ e1 @ e3) != (e4)))))) | 426.77/62.85 ( (((((e2) = (op @ e4 @ e2))) & (((op @ e4 @ e2) != (e2))) & 426.77/62.85 (((e4) != (e4)))))) | 426.77/62.85 ( (((((op @ e0 @ e4) != (e4))) & (((op @ e0 @ e4) = (e4))) & 426.77/62.85 (((e0) != (e0)))))) | 426.77/62.85 ( (((((op @ e0 @ e0) != (op @ e0 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e0) @ e0) = (e0))) & 426.77/62.85 (((e0) != (op @ (op @ e0 @ e0) @ e0)))))) | 426.77/62.85 ( (((((e3) != (op @ (op @ e0 @ e3) @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e3) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) | 426.77/62.85 ( (((((op @ e1 @ e1) != (op @ e1 @ e1))) & 426.77/62.85 (((op @ (op @ e1 @ e1) @ e1) = (e1))) & 426.77/62.85 (((e1) != (op @ (op @ e1 @ e1) @ e1)))))) | 426.77/62.85 ( (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.85 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & (((e1) != (op @ e4 @ e3)))))) | 426.77/62.85 ( (((((op @ e2 @ e1) != (op @ e1 @ e2))) & 426.77/62.85 (((op @ (op @ e1 @ e2) @ e2) = (e1))) & 426.77/62.85 (((e2) != (op @ (op @ e1 @ e2) @ e1)))))) | 426.77/62.85 ( (((((op @ (op @ e3 @ e0) @ e0) = (e3))) & 426.77/62.85 (((e0) != (op @ (op @ e3 @ e0) @ e3))) & 426.77/62.85 (((op @ e0 @ e3) != (op @ e3 @ e0)))))) | 426.77/62.85 ( (((((op @ e3 @ e1) != (op @ e1 @ e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e1) != (e3))) & 426.77/62.85 (((op @ (op @ e1 @ e3) @ e3) = (e1)))))) | 426.77/62.85 ( (((((op @ (op @ e3 @ e3) @ e3) != (e3))) & 426.77/62.85 (((op @ (op @ e3 @ e3) @ e3) = (e3))) & 426.77/62.85 (((op @ e3 @ e3) != (op @ e3 @ e3)))))) | 426.77/62.85 ( (((((op @ e4 @ e0) != (op @ e0 @ e4))) & 426.77/62.85 (((op @ (op @ e4 @ e0) @ e4) != (e0))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e0) @ e0)))))) | 426.77/62.85 ( (((((op @ (op @ e3 @ e1) @ e3) != (e1))) & 426.77/62.85 (((op @ (op @ e3 @ e1) @ e1) = (e3))) & 426.77/62.85 (((op @ e1 @ e3) != (op @ e3 @ e1)))))) | 426.77/62.85 ( (((((e2) != (op @ (op @ e3 @ e2) @ e3))) & 426.77/62.85 (((op @ (op @ e3 @ e2) @ e2) = (e3))) & 426.77/62.85 (((op @ e2 @ e3) != (op @ e3 @ e2)))))) | 426.77/62.85 ( (((((op @ e2 @ e0) != (op @ e0 @ e2))) & 426.77/62.85 (((e0) != (op @ (op @ e2 @ e0) @ e2))) & 426.77/62.85 (((op @ (op @ e2 @ e0) @ e0) = (e2)))))) | 426.77/62.85 ( (((((op @ e4 @ e2) != (e3))) & 426.77/62.85 (((op @ (op @ e4 @ e2) @ e4) != (e2))) & 426.77/62.85 (((e4) = (op @ (op @ e4 @ e2) @ e2)))))) | 426.77/62.85 ( (((((op @ e4 @ e1) != (op @ e1 @ e4))) & 426.77/62.85 (((e1) = (op @ (op @ e1 @ e4) @ e4))) & 426.77/62.85 (((op @ (op @ e1 @ e4) @ e1) != (e4)))))) | 426.77/62.85 ( (((((op @ (op @ e2 @ e1) @ e2) != (e1))) & 426.77/62.85 (((e2) = (op @ (op @ e2 @ e1) @ e1))) & 426.77/62.85 (((op @ e1 @ e2) != (op @ e2 @ e1)))))) | 426.77/62.85 ( (((((op @ (op @ e1 @ e0) @ e0) = (e1))) & 426.77/62.85 (((e0) != (op @ (op @ e1 @ e0) @ e1))) & 426.77/62.85 (((op @ e1 @ e0) != (op @ e0 @ e1)))))) | 426.77/62.85 ( (((((op @ e0 @ e4) != (op @ e4 @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e4) @ e4) = (e0))) & 426.77/62.85 (((e4) != (op @ (op @ e0 @ e4) @ e0)))))) | 426.77/62.85 ( (((((e2) != (op @ (op @ e0 @ e2) @ e0))) & 426.77/62.85 (((op @ (op @ e0 @ e2) @ e2) = (e0))) & 426.77/62.85 (((op @ e0 @ e2) != (op @ e2 @ e0)))))) | 426.77/62.85 ( (((((op @ e0 @ e1) != (op @ e1 @ e0))) & 426.77/62.85 (((e0) = (op @ (op @ e0 @ e1) @ e1))) & 426.77/62.85 (((op @ (op @ e0 @ e1) @ e0) != (e1))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl1398, plain, 426.77/62.85 ((((op @ e0 @ e3) = (e4))) <= ((((op @ e0 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1395])). 426.77/62.85 thf(zip_derived_cl1160, plain, 426.77/62.85 ((((e4) != (op @ e0 @ e3))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1040, zip_derived_cl235])). 426.77/62.85 thf(zip_derived_cl5314, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= ((((op @ e3 @ e3) = (e4))) & (((op @ e0 @ e3) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1398, zip_derived_cl1160])). 426.77/62.85 thf('182', plain, 426.77/62.85 (~ (((op @ e0 @ e3) = (e4))) | ~ (((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl5314])). 426.77/62.85 thf(zip_derived_cl1295, plain, 426.77/62.85 ((((op @ e1 @ e3) = (e4))) <= ((((op @ e1 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1294])). 426.77/62.85 thf(zip_derived_cl1040, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e4))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl234, plain, (((op @ e3 @ e3) != (op @ e1 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl76])). 426.77/62.85 thf(zip_derived_cl1159, plain, 426.77/62.85 ((((e4) != (op @ e1 @ e3))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1040, zip_derived_cl234])). 426.77/62.85 thf(zip_derived_cl5301, plain, 426.77/62.85 ((((e4) != (e4))) 426.77/62.85 <= ((((op @ e3 @ e3) = (e4))) & (((op @ e1 @ e3) = (e4))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1295, zip_derived_cl1159])). 426.77/62.85 thf('183', plain, 426.77/62.85 (~ (((op @ e1 @ e3) = (e4))) | ~ (((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl5301])). 426.77/62.85 thf(zip_derived_cl1040, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e4))) <= ((((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1039, plain, 426.77/62.85 ((((op @ e3 @ e3) = (e0))) <= ((((op @ e3 @ e3) = (e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1166, plain, 426.77/62.85 ((((e4) = (e0))) 426.77/62.85 <= ((((op @ e3 @ e3) = (e0))) & (((op @ e3 @ e3) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1040, zip_derived_cl1039])). 426.77/62.85 thf(zip_derived_cl47, plain, (((e4) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 426.77/62.85 thf('184', plain, 426.77/62.85 (~ (((op @ e3 @ e3) = (e0))) | ~ (((op @ e3 @ e3) = (e4)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1166, zip_derived_cl47])). 426.77/62.85 thf(zip_derived_cl1268, plain, 426.77/62.85 ((((e1) = (op @ e2 @ e0))) <= ((((e1) = (op @ e2 @ e0))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1267])). 426.77/62.85 thf(zip_derived_cl707, plain, 426.77/62.85 (( (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.85 (((op @ e2 @ (op @ e2 @ e0)) != (e0)))))) 426.77/62.85 <= (( (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.85 (((op @ e2 @ (op @ e2 @ e0)) != (e0)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl704])). 426.77/62.85 thf(zip_derived_cl776, plain, 426.77/62.85 (( (((op @ e0 @ (op @ e2 @ e0)) = (e2)))) 426.77/62.85 <= (( (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.85 (((op @ e2 @ (op @ e2 @ e0)) != (e0)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl707])). 426.77/62.85 thf(zip_derived_cl779, plain, 426.77/62.85 ((((op @ e0 @ (op @ e2 @ e0)) = (e2))) 426.77/62.85 <= (( (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.85 (((op @ e2 @ (op @ e2 @ e0)) != (e0)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl776])). 426.77/62.85 thf(zip_derived_cl1754, plain, 426.77/62.85 ((((op @ e0 @ e1) = (e2))) 426.77/62.85 <= (( (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.85 (((op @ e2 @ (op @ e2 @ e0)) != (e0)))))) & 426.77/62.85 (((e1) = (op @ e2 @ e0))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1268, zip_derived_cl779])). 426.77/62.85 thf(zip_derived_cl1485, plain, 426.77/62.85 ((((e0) = (op @ e0 @ e1))) <= ((((e0) = (op @ e0 @ e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1480])). 426.77/62.85 thf(zip_derived_cl2820, plain, 426.77/62.85 ((((e0) = (e2))) 426.77/62.85 <= (( (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.85 (((op @ e2 @ (op @ e2 @ e0)) != (e0)))))) & 426.77/62.85 (((e1) = (op @ e2 @ e0))) & 426.77/62.85 (((e0) = (op @ e0 @ e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1754, zip_derived_cl1485])). 426.77/62.85 thf(zip_derived_cl46, plain, (((e2) != (e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl43])). 426.77/62.85 thf('185', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ e0 @ (op @ e2 @ e0)) = (e2))) & 426.77/62.85 (((op @ e2 @ (op @ e2 @ e0)) != (e0)))))) | 426.77/62.85 ~ (((e1) = (op @ e2 @ e0))) | ~ (((e0) = (op @ e0 @ e1)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl2820, zip_derived_cl46])). 426.77/62.85 thf(zip_derived_cl1041, plain, 426.77/62.85 ((((e2) = (op @ e3 @ e3))) <= ((((e2) = (op @ e3 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl1123, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl79, plain, ( (((op @ e3 @ e3) != (op @ e4 @ e3)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl231, plain, (((op @ e3 @ e3) != (op @ e4 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl79])). 426.77/62.85 thf(zip_derived_cl1409, plain, 426.77/62.85 ((((op @ e3 @ e3) != (e2))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1123, zip_derived_cl231])). 426.77/62.85 thf(zip_derived_cl7168, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= ((((e2) = (op @ e3 @ e3))) & (((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1041, zip_derived_cl1409])). 426.77/62.85 thf('186', plain, 426.77/62.85 (~ (((e2) = (op @ e4 @ e3))) | ~ (((e2) = (op @ e3 @ e3)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl7168])). 426.77/62.85 thf(zip_derived_cl1067, plain, 426.77/62.85 ((((op @ e4 @ e0) = (e2))) <= ((((op @ e4 @ e0) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.85 thf(zip_derived_cl1123, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl106, plain, ( (((op @ e4 @ e3) != (op @ e4 @ e0)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl205, plain, (((op @ e4 @ e3) != (op @ e4 @ e0))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl106])). 426.77/62.85 thf(zip_derived_cl1408, plain, 426.77/62.85 ((((e2) != (op @ e4 @ e0))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1123, zip_derived_cl205])). 426.77/62.85 thf(zip_derived_cl7142, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= ((((op @ e4 @ e0) = (e2))) & (((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1067, zip_derived_cl1408])). 426.77/62.85 thf('187', plain, 426.77/62.85 (~ (((op @ e4 @ e0) = (e2))) | ~ (((e2) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl7142])). 426.77/62.85 thf(zip_derived_cl1149, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e2))) <= ((((op @ e4 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl1123, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl113, plain, ( (((op @ e4 @ e1) != (op @ e4 @ e3)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl198, plain, (((op @ e4 @ e1) != (op @ e4 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl113])). 426.77/62.85 thf(zip_derived_cl1405, plain, 426.77/62.85 ((((op @ e4 @ e1) != (e2))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1123, zip_derived_cl198])). 426.77/62.85 thf(zip_derived_cl7084, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= ((((e2) = (op @ e4 @ e3))) & (((op @ e4 @ e1) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1149, zip_derived_cl1405])). 426.77/62.85 thf('188', plain, 426.77/62.85 (~ (((op @ e4 @ e1) = (e2))) | ~ (((e2) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl7084])). 426.77/62.85 thf(zip_derived_cl1123, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl719, plain, 426.77/62.85 (( (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4)))))) 426.77/62.85 <= (( (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl716])). 426.77/62.85 thf(zip_derived_cl3341, plain, 426.77/62.85 (( (((op @ e3 @ (op @ e4 @ e3)) = (e4)))) 426.77/62.85 <= (( (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl719])). 426.77/62.85 thf(zip_derived_cl3342, plain, 426.77/62.85 ((((op @ e3 @ (op @ e4 @ e3)) = (e4))) 426.77/62.85 <= (( (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3341])). 426.77/62.85 thf(zip_derived_cl5957, plain, 426.77/62.85 ((((op @ e3 @ e2) = (e4))) 426.77/62.85 <= (( (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4)))))) & 426.77/62.85 (((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1123, zip_derived_cl3342])). 426.77/62.85 thf(zip_derived_cl170, plain, (((e4) != (op @ e3 @ e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl143])). 426.77/62.85 thf('189', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((e3) != (op @ e4 @ (op @ e4 @ e3)))) & 426.77/62.85 (((op @ e3 @ (op @ e4 @ e3)) = (e4)))))) | 426.77/62.85 ~ (((e2) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl5957, zip_derived_cl170])). 426.77/62.85 thf(zip_derived_cl1123, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl743, plain, 426.77/62.85 (( (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.85 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & (((e1) != (op @ e4 @ e3)))))) 426.77/62.85 <= (( (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.85 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.85 (((e1) != (op @ e4 @ e3)))))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl739])). 426.77/62.85 thf(zip_derived_cl3418, plain, 426.77/62.85 (( (((op @ (op @ e4 @ e3) @ e4) != (e3)))) 426.77/62.85 <= (( (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.85 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.85 (((e1) != (op @ e4 @ e3)))))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl743])). 426.77/62.85 thf(zip_derived_cl3421, plain, 426.77/62.85 ((((op @ (op @ e4 @ e3) @ e4) != (e3))) 426.77/62.85 <= (( (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.85 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.85 (((e1) != (op @ e4 @ e3)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl3418])). 426.77/62.85 thf(zip_derived_cl5436, plain, 426.77/62.85 ((((op @ e2 @ e4) != (e3))) 426.77/62.85 <= (( (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.85 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.85 (((e1) != (op @ e4 @ e3)))))) & 426.77/62.85 (((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1123, zip_derived_cl3421])). 426.77/62.85 thf(zip_derived_cl16, plain, (((op @ e2 @ e4) = (e3))), 426.77/62.85 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl12])). 426.77/62.85 thf(zip_derived_cl5442, plain, 426.77/62.85 ((((e3) != (e3))) 426.77/62.85 <= (( (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.85 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & 426.77/62.85 (((e1) != (op @ e4 @ e3)))))) & 426.77/62.85 (((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('demod', [status(thm)], [zip_derived_cl5436, zip_derived_cl16])). 426.77/62.85 thf('190', plain, 426.77/62.85 (~ 426.77/62.85 ( (((((op @ (op @ e4 @ e3) @ e3) = (e4))) & 426.77/62.85 (((op @ (op @ e4 @ e3) @ e4) != (e3))) & (((e1) != (op @ e4 @ e3)))))) | 426.77/62.85 ~ (((e2) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl5442])). 426.77/62.85 thf(zip_derived_cl1123, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1122, plain, 426.77/62.85 ((((op @ e4 @ e3) = (e3))) <= ((((op @ e4 @ e3) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1413, plain, 426.77/62.85 ((((e2) = (e3))) 426.77/62.85 <= ((((op @ e4 @ e3) = (e3))) & (((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1123, zip_derived_cl1122])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('191', plain, 426.77/62.85 (~ (((op @ e4 @ e3) = (e3))) | ~ (((e2) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1413, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1123, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) <= ((((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1121, plain, 426.77/62.85 ((((op @ e4 @ e3) = (e1))) <= ((((op @ e4 @ e3) = (e1))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl1412, plain, 426.77/62.85 ((((e2) = (e1))) 426.77/62.85 <= ((((op @ e4 @ e3) = (e1))) & (((e2) = (op @ e4 @ e3))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1123, zip_derived_cl1121])). 426.77/62.85 thf(zip_derived_cl48, plain, (((e1) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 426.77/62.85 thf('192', plain, 426.77/62.85 (~ (((op @ e4 @ e3) = (e1))) | ~ (((e2) = (op @ e4 @ e3)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl1412, zip_derived_cl48])). 426.77/62.85 thf(zip_derived_cl947, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e4))) <= ((((op @ e3 @ e0) = (e4))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl945])). 426.77/62.85 thf(zip_derived_cl946, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e2))) <= ((((op @ e3 @ e0) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl945])). 426.77/62.85 thf(zip_derived_cl988, plain, 426.77/62.85 ((((e4) = (e2))) 426.77/62.85 <= ((((op @ e3 @ e0) = (e2))) & (((op @ e3 @ e0) = (e4))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl947, zip_derived_cl946])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf('193', plain, 426.77/62.85 (~ (((op @ e3 @ e0) = (e4))) | ~ (((op @ e3 @ e0) = (e2)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl988, zip_derived_cl51])). 426.77/62.85 thf(zip_derived_cl684, plain, 426.77/62.85 ( (((((e2) = (op @ e3 @ e1))) | (((e2) = (op @ e3 @ e3))) | ($false) | 426.77/62.85 (((e2) = (op @ e3 @ e2))) | (((e2) = (op @ e3 @ e0)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2583, plain, 426.77/62.85 (( (((e2) = (op @ e3 @ e1))) 426.77/62.85 | (((e2) = (op @ e3 @ e3))) 426.77/62.85 | (((e2) = (op @ e3 @ e2))) 426.77/62.85 | (((e2) = (op @ e3 @ e0))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl684])). 426.77/62.85 thf(zip_derived_cl2584, plain, 426.77/62.85 ((((e2) = (op @ e3 @ e1)) 426.77/62.85 | ((e2) = (op @ e3 @ e3)) 426.77/62.85 | ((e2) = (op @ e3 @ e2)) 426.77/62.85 | ((e2) = (op @ e3 @ e0)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2583])). 426.77/62.85 thf('194', plain, 426.77/62.85 ((((e2) = (op @ e3 @ e3))) | (((op @ e3 @ e0) = (e2))) | 426.77/62.85 (((op @ e3 @ e1) = (e2))) | (((op @ e3 @ e2) = (e2)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2584])). 426.77/62.85 thf(zip_derived_cl1630, plain, 426.77/62.85 ((((e2) = (op @ e0 @ e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl362])). 426.77/62.85 thf(zip_derived_cl996, plain, 426.77/62.85 ((((op @ e3 @ e2) = (e2))) <= ((((op @ e3 @ e2) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl995])). 426.77/62.85 thf(zip_derived_cl69, plain, ( (((op @ e0 @ e2) != (op @ e3 @ e2)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl241, plain, (((op @ e0 @ e2) != (op @ e3 @ e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl69])). 426.77/62.85 thf(zip_derived_cl1047, plain, 426.77/62.85 ((((op @ e0 @ e2) != (e2))) <= ((((op @ e3 @ e2) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl996, zip_derived_cl241])). 426.77/62.85 thf(zip_derived_cl4935, plain, 426.77/62.85 ((((e2) != (e2))) <= ((((op @ e3 @ e2) = (e2))) & (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1630, zip_derived_cl1047])). 426.77/62.85 thf('195', plain, (~ (((op @ e3 @ e2) = (e2))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl4935])). 426.77/62.85 thf(zip_derived_cl1632, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl364])). 426.77/62.85 thf(zip_derived_cl946, plain, 426.77/62.85 ((((op @ e3 @ e0) = (e2))) <= ((((op @ e3 @ e0) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl945])). 426.77/62.85 thf(zip_derived_cl3097, plain, 426.77/62.85 ((((e3) = (e2))) <= ((((op @ e3 @ e0) = (e2))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1632, zip_derived_cl946])). 426.77/62.85 thf(zip_derived_cl53, plain, (((e2) != (e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])). 426.77/62.85 thf('196', plain, (~ (((op @ e3 @ e0) = (e2))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3097, zip_derived_cl53])). 426.77/62.85 thf(zip_derived_cl1194, plain, 426.77/62.85 ((((op @ e3 @ e1) = (e2))) <= ((((op @ e3 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1193])). 426.77/62.85 thf(zip_derived_cl1149, plain, 426.77/62.85 ((((op @ e4 @ e1) = (e2))) <= ((((op @ e4 @ e1) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1147])). 426.77/62.85 thf(zip_derived_cl165, plain, (((op @ e3 @ e1) != (op @ e4 @ e1))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl148])). 426.77/62.85 thf(zip_derived_cl1463, plain, 426.77/62.85 ((((op @ e3 @ e1) != (e2))) <= ((((op @ e4 @ e1) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1149, zip_derived_cl165])). 426.77/62.85 thf(zip_derived_cl7435, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= ((((op @ e4 @ e1) = (e2))) & (((op @ e3 @ e1) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1194, zip_derived_cl1463])). 426.77/62.85 thf('197', plain, 426.77/62.85 (~ (((op @ e4 @ e1) = (e2))) | ~ (((op @ e3 @ e1) = (e2)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl7435])). 426.77/62.85 thf(zip_derived_cl1243, plain, 426.77/62.85 ((((e2) = (op @ e2 @ e3))) <= ((((e2) = (op @ e2 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1240])). 426.77/62.85 thf(zip_derived_cl291, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl288])). 426.77/62.85 thf(zip_derived_cl78, plain, ( (((op @ e2 @ e3) != (op @ e4 @ e3)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl232, plain, (((op @ e2 @ e3) != (op @ e4 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl78])). 426.77/62.85 thf(zip_derived_cl392, plain, 426.77/62.85 ((((op @ e2 @ e3) != (e2))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl291, zip_derived_cl232])). 426.77/62.85 thf(zip_derived_cl1730, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))) & 426.77/62.85 (((e2) = (op @ e2 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1243, zip_derived_cl392])). 426.77/62.85 thf('198', plain, 426.77/62.85 (~ ( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))) | 426.77/62.85 ~ (((e2) = (op @ e2 @ e3)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl1730])). 426.77/62.85 thf(zip_derived_cl1041, plain, 426.77/62.85 ((((e2) = (op @ e3 @ e3))) <= ((((e2) = (op @ e3 @ e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1037])). 426.77/62.85 thf(zip_derived_cl291, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e3))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl288])). 426.77/62.85 thf(zip_derived_cl231, plain, (((op @ e3 @ e3) != (op @ e4 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl79])). 426.77/62.85 thf(zip_derived_cl384, plain, 426.77/62.85 ((((op @ e3 @ e3) != (e2))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl291, zip_derived_cl231])). 426.77/62.85 thf(zip_derived_cl1178, plain, 426.77/62.85 ((((e2) != (e2))) 426.77/62.85 <= (( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))) & 426.77/62.85 (((e2) = (op @ e3 @ e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1041, zip_derived_cl384])). 426.77/62.85 thf('199', plain, 426.77/62.85 (~ ( (((((e2) = (op @ e4 @ e3))) & (((op @ e2 @ e3) != (e4)))))) | 426.77/62.85 ~ (((e2) = (op @ e3 @ e3)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl1178])). 426.77/62.85 thf(zip_derived_cl675, plain, 426.77/62.85 ( (((((op @ e0 @ e4) = (e2))) | (((e2) = (op @ e1 @ e4))) | ($false) | 426.77/62.85 ($false) | ($false)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl856, plain, 426.77/62.85 (( (((op @ e0 @ e4) = (e2))) | (((e2) = (op @ e1 @ e4))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl675])). 426.77/62.85 thf(zip_derived_cl857, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e2)) | ((e2) = (op @ e1 @ e4)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl856])). 426.77/62.85 thf('200', plain, ((((op @ e1 @ e4) = (e2))) | (((op @ e0 @ e4) = (e2)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl857])). 426.77/62.85 thf(zip_derived_cl1630, plain, 426.77/62.85 ((((e2) = (op @ e0 @ e2))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl362])). 426.77/62.85 thf(zip_derived_cl1097, plain, 426.77/62.85 ((((op @ e4 @ e2) = (e2))) <= ((((op @ e4 @ e2) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1096])). 426.77/62.85 thf(zip_derived_cl70, plain, ( (((op @ e0 @ e2) != (op @ e4 @ e2)))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 426.77/62.85 thf(zip_derived_cl240, plain, (((op @ e0 @ e2) != (op @ e4 @ e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl70])). 426.77/62.85 thf(zip_derived_cl1306, plain, 426.77/62.85 ((((op @ e0 @ e2) != (e2))) <= ((((op @ e4 @ e2) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1097, zip_derived_cl240])). 426.77/62.85 thf(zip_derived_cl6333, plain, 426.77/62.85 ((((e2) != (e2))) <= ((((op @ e4 @ e2) = (e2))) & (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1630, zip_derived_cl1306])). 426.77/62.85 thf('201', plain, (~ (((op @ e4 @ e2) = (e2))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl6333])). 426.77/62.85 thf(zip_derived_cl1631, plain, 426.77/62.85 ((((e3) = (op @ e0 @ e3))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl363])). 426.77/62.85 thf(zip_derived_cl1122, plain, 426.77/62.85 ((((op @ e4 @ e3) = (e3))) <= ((((op @ e4 @ e3) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1120])). 426.77/62.85 thf(zip_derived_cl171, plain, (((op @ e0 @ e3) != (op @ e4 @ e3))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl142])). 426.77/62.85 thf(zip_derived_cl1376, plain, 426.77/62.85 ((((op @ e0 @ e3) != (e3))) <= ((((op @ e4 @ e3) = (e3))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1122, zip_derived_cl171])). 426.77/62.85 thf(zip_derived_cl6916, plain, 426.77/62.85 ((((e3) != (e3))) <= ((((op @ e4 @ e3) = (e3))) & (((e0) = (unit))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1631, zip_derived_cl1376])). 426.77/62.85 thf('202', plain, (~ (((op @ e4 @ e3) = (e3))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl6916])). 426.77/62.85 thf(zip_derived_cl1634, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl366])). 426.77/62.85 thf(zip_derived_cl1068, plain, 426.77/62.85 ((((op @ e4 @ e0) = (e3))) <= ((((op @ e4 @ e0) = (e3))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.85 thf(zip_derived_cl3187, plain, 426.77/62.85 ((((e4) = (e3))) <= ((((op @ e4 @ e0) = (e3))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1634, zip_derived_cl1068])). 426.77/62.85 thf(zip_derived_cl52, plain, (((e3) != (e4))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 426.77/62.85 thf('203', plain, (~ (((op @ e4 @ e0) = (e3))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3187, zip_derived_cl52])). 426.77/62.85 thf(zip_derived_cl1634, plain, 426.77/62.85 ((((e4) = (op @ e4 @ e0))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl366])). 426.77/62.85 thf(zip_derived_cl1067, plain, 426.77/62.85 ((((op @ e4 @ e0) = (e2))) <= ((((op @ e4 @ e0) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1065])). 426.77/62.85 thf(zip_derived_cl3186, plain, 426.77/62.85 ((((e4) = (e2))) <= ((((op @ e4 @ e0) = (e2))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1634, zip_derived_cl1067])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf('204', plain, (~ (((op @ e4 @ e0) = (e2))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3186, zip_derived_cl51])). 426.77/62.85 thf(zip_derived_cl1633, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e4))) <= ((((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1542, zip_derived_cl365])). 426.77/62.85 thf(zip_derived_cl815, plain, 426.77/62.85 ((((op @ e0 @ e4) = (e2))) <= ((((op @ e0 @ e4) = (e2))))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl814])). 426.77/62.85 thf(zip_derived_cl3136, plain, 426.77/62.85 ((((e4) = (e2))) <= ((((op @ e0 @ e4) = (e2))) & (((e0) = (unit))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1633, zip_derived_cl815])). 426.77/62.85 thf(zip_derived_cl51, plain, (((e4) != (e2))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])). 426.77/62.85 thf('205', plain, (~ (((op @ e0 @ e4) = (e2))) | ~ (((e0) = (unit)))), 426.77/62.85 inference('simplify_reflect-', [status(thm)], 426.77/62.85 [zip_derived_cl3136, zip_derived_cl51])). 426.77/62.85 thf(zip_derived_cl674, plain, 426.77/62.85 ( (((((e2) = (op @ e4 @ e0))) | (((e2) = (op @ e4 @ e1))) | 426.77/62.85 (((e2) = (op @ e4 @ e3))) | ($false) | (((e2) = (op @ e4 @ e2)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2283, plain, 426.77/62.85 (( (((e2) = (op @ e4 @ e0))) 426.77/62.85 | (((e2) = (op @ e4 @ e1))) 426.77/62.85 | (((e2) = (op @ e4 @ e3))) 426.77/62.85 | (((e2) = (op @ e4 @ e2))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl674])). 426.77/62.85 thf(zip_derived_cl2284, plain, 426.77/62.85 ((((e2) = (op @ e4 @ e0)) 426.77/62.85 | ((e2) = (op @ e4 @ e1)) 426.77/62.85 | ((e2) = (op @ e4 @ e3)) 426.77/62.85 | ((e2) = (op @ e4 @ e2)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2283])). 426.77/62.85 thf('206', plain, 426.77/62.85 ((((op @ e4 @ e1) = (e2))) | (((op @ e4 @ e2) = (e2))) | 426.77/62.85 (((e2) = (op @ e4 @ e3))) | (((op @ e4 @ e0) = (e2)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2284])). 426.77/62.85 thf('207', plain, 426.77/62.85 ((((unit) = (e1))) | (((e0) = (unit))) | (((unit) = (e3))) | 426.77/62.85 (((unit) = (e4))) | (((e2) = (unit)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl1537])). 426.77/62.85 thf(zip_derived_cl1544, plain, 426.77/62.85 ((((e2) = (op @ e1 @ e2))) <= ((((unit) = (e1))))), 426.77/62.85 inference('sup+', [status(thm)], [zip_derived_cl1538, zip_derived_cl362])). 426.77/62.85 thf(zip_derived_cl598, plain, 426.77/62.85 ((((op @ e1 @ e2) != (e2))) <= ((((op @ e1 @ e4) = (e2))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl592, zip_derived_cl218])). 426.77/62.85 thf(zip_derived_cl2625, plain, 426.77/62.85 ((((e2) != (e2))) <= ((((op @ e1 @ e4) = (e2))) & (((unit) = (e1))))), 426.77/62.85 inference('sup-', [status(thm)], [zip_derived_cl1544, zip_derived_cl598])). 426.77/62.85 thf('208', plain, (~ (((op @ e1 @ e4) = (e2))) | ~ (((unit) = (e1)))), 426.77/62.85 inference('simplify', [status(thm)], [zip_derived_cl2625])). 426.77/62.85 thf(zip_derived_cl695, plain, 426.77/62.85 ( (((((e2) = (op @ e1 @ e0))) | (((op @ e1 @ e2) = (e2))) | 426.77/62.85 (((e2) = (op @ e1 @ e4))) | (((op @ e1 @ e3) = (e2))) | 426.77/62.85 (((op @ e1 @ e1) = (e2)))))), 426.77/62.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl387])). 426.77/62.85 thf(zip_derived_cl2874, plain, 426.77/62.85 (( (((e2) = (op @ e1 @ e0))) 426.77/62.85 | (((op @ e1 @ e2) = (e2))) 426.77/62.85 | (((e2) = (op @ e1 @ e4))) 426.77/62.85 | (((op @ e1 @ e3) = (e2))) 426.77/62.85 | (((op @ e1 @ e1) = (e2))))), 426.77/62.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl695])). 426.77/62.85 thf(zip_derived_cl2875, plain, 426.77/62.85 ((((e2) = (op @ e1 @ e0)) 426.77/62.85 | ((op @ e1 @ e2) = (e2)) 426.77/62.85 | ((e2) = (op @ e1 @ e4)) 426.77/62.85 | ((op @ e1 @ e3) = (e2)) 426.77/62.85 | ((op @ e1 @ e1) = (e2)))), 426.77/62.85 inference('simplify nested equalities', [status(thm)], 426.77/62.85 [zip_derived_cl2874])). 426.77/62.85 thf('209', plain, 426.77/62.85 ((((op @ e1 @ e4) = (e2))) | (((e2) = (op @ e1 @ e0))) | 426.77/62.85 (((e2) = (op @ e1 @ e3))) | (((op @ e1 @ e2) = (e2))) | 426.77/62.85 (((e2) = (op @ e1 @ e1)))), 426.77/62.85 inference('split', [status(esa)], [zip_derived_cl2875])). 426.77/62.85 thf(zip_derived_cl8004, plain, ($false), 426.77/62.85 inference('sat_resolution*', [status(thm)], 426.77/62.85 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11', 426.77/62.85 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21', 426.77/62.85 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31', 426.77/62.85 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41', 426.77/62.85 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51', 426.77/62.85 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61', 426.77/62.85 '62', '63', '64', '65', '66', '67', '68', '69', '70', '71', 426.77/62.85 '72', '73', '74', '75', '76', '77', '78', '79', '80', '81', 426.77/62.85 '82', '83', '84', '85', '86', '87', '88', '89', '90', '91', 426.77/62.85 '92', '93', '94', '95', '96', '97', '98', '99', '100', '101', 426.77/62.85 '102', '103', '104', '105', '106', '107', '108', '109', 426.77/62.85 '110', '111', '112', '113', '114', '115', '116', '117', 426.77/62.85 '118', '119', '120', '121', '122', '123', '124', '125', 426.77/62.85 '126', '127', '128', '129', '130', '131', '132', '133', 426.77/62.85 '134', '135', '136', '137', '138', '139', '140', '141', 426.77/62.85 '142', '143', '144', '145', '146', '147', '148', '149', 426.77/62.85 '150', '151', '152', '153', '154', '155', '156', '157', 426.77/62.85 '158', '159', '160', '161', '162', '163', '164', '165', 426.77/62.85 '166', '167', '168', '169', '170', '171', '172', '173', 426.77/62.85 '174', '175', '176', '177', '178', '179', '180', '181', 426.77/62.85 '182', '183', '184', '185', '186', '187', '188', '189', 426.77/62.85 '190', '191', '192', '193', '194', '195', '196', '197', 426.77/62.85 '198', '199', '200', '201', '202', '203', '204', '205', 426.77/62.85 '206', '207', '208', '209'])). 426.77/62.85 426.77/62.85 % SZS output end Refutation 426.77/62.85 426.77/62.85 426.77/62.85 % Terminating... 426.77/62.90 % Runner terminated. 426.77/62.91 % Zipperpin 1.5 exiting 426.77/62.92 EOF