TSTP Solution File: SWC155-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC155-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t2KM1GvIIl true
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:29:33 EDT 2023
% Result : Unsatisfiable 83.64s 12.57s
% Output : Refutation 83.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC155-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t2KM1GvIIl true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 17:11:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 83.64/12.57 % Solved by fo/fo6_bce.sh.
% 83.64/12.57 % BCE start: 203
% 83.64/12.57 % BCE eliminated: 4
% 83.64/12.57 % PE start: 199
% 83.64/12.57 logic: eq
% 83.64/12.57 % PE eliminated: 6
% 83.64/12.57 % done 7112 iterations in 11.796s
% 83.64/12.57 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 83.64/12.57 % SZS output start Refutation
% 83.64/12.57 thf(nil_type, type, nil: $i).
% 83.64/12.57 thf(leq_type, type, leq: $i > $i > $o).
% 83.64/12.57 thf(geq_type, type, geq: $i > $i > $o).
% 83.64/12.57 thf(cons_type, type, cons: $i > $i > $i).
% 83.64/12.57 thf(sk5_type, type, sk5: $i).
% 83.64/12.57 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 83.64/12.57 thf(sk6_type, type, sk6: $i).
% 83.64/12.57 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 83.64/12.57 thf(tl_type, type, tl: $i > $i).
% 83.64/12.57 thf(memberP_type, type, memberP: $i > $i > $o).
% 83.64/12.57 thf(skac3_type, type, skac3: $i).
% 83.64/12.57 thf(hd_type, type, hd: $i > $i).
% 83.64/12.57 thf(sk7_type, type, sk7: $i).
% 83.64/12.57 thf(ssItem_type, type, ssItem: $i > $o).
% 83.64/12.57 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 83.64/12.57 thf(sk9_type, type, sk9: $i).
% 83.64/12.57 thf(skaf82_type, type, skaf82: $i > $i).
% 83.64/12.57 thf(sk3_type, type, sk3: $i).
% 83.64/12.57 thf(sk8_type, type, sk8: $i).
% 83.64/12.57 thf(sk10_type, type, sk10: $i).
% 83.64/12.57 thf(app_type, type, app: $i > $i > $i).
% 83.64/12.57 thf(ssList_type, type, ssList: $i > $o).
% 83.64/12.57 thf(sk1_type, type, sk1: $i).
% 83.64/12.57 thf(singletonP_type, type, singletonP: $i > $o).
% 83.64/12.57 thf(co1_17, conjecture,
% 83.64/12.57 (~( ( ~( leq @ sk5 @ sk6 ) ) | ( memberP @ sk8 @ sk10 ) ))).
% 83.64/12.57 thf(zf_stmt_0, negated_conjecture,
% 83.64/12.57 (( ~( leq @ sk5 @ sk6 ) ) | ( memberP @ sk8 @ sk10 )),
% 83.64/12.57 inference('cnf.neg', [status(esa)], [co1_17])).
% 83.64/12.57 thf(zip_derived_cl201, plain,
% 83.64/12.57 ((~ (leq @ sk5 @ sk6) | (memberP @ sk8 @ sk10))),
% 83.64/12.57 inference('cnf', [status(esa)], [zf_stmt_0])).
% 83.64/12.57 thf(clause75, axiom,
% 83.64/12.57 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 83.64/12.57 thf(zip_derived_cl74, plain,
% 83.64/12.57 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause75])).
% 83.64/12.57 thf(clause85, axiom,
% 83.64/12.57 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(clause86, axiom,
% 83.64/12.57 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(clause138, axiom,
% 83.64/12.57 (( ( U ) != ( V ) ) | ( ~( ssList @ W ) ) | ( ~( ssItem @ V ) ) |
% 83.64/12.57 ( ~( ssItem @ U ) ) | ( memberP @ ( cons @ V @ W ) @ U ))).
% 83.64/12.57 thf(zip_derived_cl137, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (((X1) != (X0))
% 83.64/12.57 | ~ (ssList @ X2)
% 83.64/12.57 | ~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssItem @ X1)
% 83.64/12.57 | (memberP @ (cons @ X0 @ X2) @ X1))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause138])).
% 83.64/12.57 thf(zip_derived_cl1770, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 ( (memberP @ (cons @ X0 @ X1) @ X0)
% 83.64/12.57 | ~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @ X1))),
% 83.64/12.57 inference('eq_res', [status(thm)], [zip_derived_cl137])).
% 83.64/12.57 thf(zip_derived_cl1771, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X1)
% 83.64/12.57 | ~ (ssItem @ X0)
% 83.64/12.57 | (memberP @ (cons @ X0 @ X1) @ X0))),
% 83.64/12.57 inference('simplify', [status(thm)], [zip_derived_cl1770])).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(clause169, axiom,
% 83.64/12.57 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 83.64/12.57 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 83.64/12.57 thf(zip_derived_cl168, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (memberP @ X0 @ X1)
% 83.64/12.57 | ~ (ssItem @ X1)
% 83.64/12.57 | ~ (ssList @ X0)
% 83.64/12.57 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 83.64/12.57 = (X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause169])).
% 83.64/12.57 thf(clause72, axiom,
% 83.64/12.57 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 83.64/12.57 thf(zip_derived_cl71, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause72])).
% 83.64/12.57 thf(clause179, axiom,
% 83.64/12.57 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 83.64/12.57 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 83.64/12.57 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 83.64/12.57 thf(zip_derived_cl178, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 83.64/12.57 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 83.64/12.57 | ~ (ssList @ X4)
% 83.64/12.57 | ~ (ssList @ X3)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (duplicatefreeP @ X0)
% 83.64/12.57 | ~ (ssList @ X0))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause179])).
% 83.64/12.57 thf(zip_derived_cl1371, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 83.64/12.57 ( (ssItem @ X1)
% 83.64/12.57 | ~ (ssList @ X0)
% 83.64/12.57 | ~ (ssList @ X0)
% 83.64/12.57 | ~ (ssItem @ X3)
% 83.64/12.57 | ~ (ssList @ X5)
% 83.64/12.57 | ~ (ssList @ X4)
% 83.64/12.57 | ~ (ssList @ X2)
% 83.64/12.57 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 83.64/12.57 inference('dp-resolution', [status(thm)],
% 83.64/12.57 [zip_derived_cl71, zip_derived_cl178])).
% 83.64/12.57 thf(zip_derived_cl1885, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 83.64/12.57 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 83.64/12.57 | ~ (ssList @ X2)
% 83.64/12.57 | ~ (ssList @ X4)
% 83.64/12.57 | ~ (ssList @ X5)
% 83.64/12.57 | ~ (ssItem @ X3)
% 83.64/12.57 | ~ (ssList @ X0)
% 83.64/12.57 | (ssItem @ X1))),
% 83.64/12.57 inference('simplify', [status(thm)], [zip_derived_cl1371])).
% 83.64/12.57 thf(zip_derived_cl1895, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 83.64/12.57 ( (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @
% 83.64/12.57 (app @ (app @ X4 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X1)))
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (ssList @ X4)
% 83.64/12.57 | ~ (ssList @ X3)
% 83.64/12.57 | ~ (ssList @ X1))),
% 83.64/12.57 inference('eq_res', [status(thm)], [zip_derived_cl1885])).
% 83.64/12.57 thf(zip_derived_cl2854, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.57 (~ (ssList @ X0)
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (memberP @ X0 @ X2)
% 83.64/12.57 | (ssItem @ X3)
% 83.64/12.57 | ~ (ssList @ (app @ X0 @ (cons @ X2 @ X1)))
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (ssList @ (skaf42 @ X0 @ X2))
% 83.64/12.57 | ~ (ssList @ (skaf43 @ X2 @ X0))
% 83.64/12.57 | ~ (ssList @ X1))),
% 83.64/12.57 inference('s_sup-', [status(thm)],
% 83.64/12.57 [zip_derived_cl168, zip_derived_cl1895])).
% 83.64/12.57 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 83.64/12.57 thf(zip_derived_cl52, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause53])).
% 83.64/12.57 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 83.64/12.57 thf(zip_derived_cl51, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause52])).
% 83.64/12.57 thf(zip_derived_cl2878, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.57 (~ (ssList @ X0)
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (memberP @ X0 @ X2)
% 83.64/12.57 | (ssItem @ X3)
% 83.64/12.57 | ~ (ssList @ (app @ X0 @ (cons @ X2 @ X1)))
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (ssList @ X1))),
% 83.64/12.57 inference('demod', [status(thm)],
% 83.64/12.57 [zip_derived_cl2854, zip_derived_cl52, zip_derived_cl51])).
% 83.64/12.57 thf(zip_derived_cl2879, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.57 (~ (ssList @ X1)
% 83.64/12.57 | ~ (ssList @ (app @ X0 @ (cons @ X2 @ X1)))
% 83.64/12.57 | (ssItem @ X3)
% 83.64/12.57 | ~ (memberP @ X0 @ X2)
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (ssList @ X0))),
% 83.64/12.57 inference('simplify', [status(thm)], [zip_derived_cl2878])).
% 83.64/12.57 thf(zip_derived_cl4378, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.57 (~ (ssList @ X2)
% 83.64/12.57 | ~ (ssList @ (cons @ X1 @ X0))
% 83.64/12.57 | ~ (ssList @ X0)
% 83.64/12.57 | (ssItem @ X3)
% 83.64/12.57 | ~ (memberP @ X2 @ X1)
% 83.64/12.57 | ~ (ssItem @ X1)
% 83.64/12.57 | ~ (ssList @ X2))),
% 83.64/12.57 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2879])).
% 83.64/12.57 thf(zip_derived_cl4395, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.57 (~ (ssItem @ X1)
% 83.64/12.57 | ~ (memberP @ X2 @ X1)
% 83.64/12.57 | (ssItem @ X3)
% 83.64/12.57 | ~ (ssList @ X0)
% 83.64/12.57 | ~ (ssList @ (cons @ X1 @ X0))
% 83.64/12.57 | ~ (ssList @ X2))),
% 83.64/12.57 inference('simplify', [status(thm)], [zip_derived_cl4378])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(zip_derived_cl4440, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.57 (~ (ssList @ X2)
% 83.64/12.57 | ~ (ssList @ X0)
% 83.64/12.57 | (ssItem @ X3)
% 83.64/12.57 | ~ (memberP @ X2 @ X1)
% 83.64/12.57 | ~ (ssItem @ X1))),
% 83.64/12.57 inference('clc', [status(thm)], [zip_derived_cl4395, zip_derived_cl85])).
% 83.64/12.57 thf(zip_derived_cl4441, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | (ssItem @ X2)
% 83.64/12.57 | ~ (memberP @ X1 @ X0))),
% 83.64/12.57 inference('condensation', [status(thm)], [zip_derived_cl4440])).
% 83.64/12.57 thf(zip_derived_cl4444, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @ (cons @ X0 @ X1))
% 83.64/12.57 | (ssItem @ X2))),
% 83.64/12.57 inference('s_sup-', [status(thm)],
% 83.64/12.57 [zip_derived_cl1771, zip_derived_cl4441])).
% 83.64/12.57 thf(zip_derived_cl4450, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 ( (ssItem @ X2)
% 83.64/12.57 | ~ (ssList @ (cons @ X0 @ X1))
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssItem @ X0))),
% 83.64/12.57 inference('simplify', [status(thm)], [zip_derived_cl4444])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(zip_derived_cl4453, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssItem @ X2))),
% 83.64/12.57 inference('clc', [status(thm)], [zip_derived_cl4450, zip_derived_cl85])).
% 83.64/12.57 thf(clause9, axiom, (ssItem @ skac3)).
% 83.64/12.57 thf(zip_derived_cl8, plain, ( (ssItem @ skac3)),
% 83.64/12.57 inference('cnf', [status(esa)], [clause9])).
% 83.64/12.57 thf(zip_derived_cl4455, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]: ( (ssItem @ X0) | ~ (ssList @ X1))),
% 83.64/12.57 inference('s_sup+', [status(thm)], [zip_derived_cl4453, zip_derived_cl8])).
% 83.64/12.57 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 83.64/12.57 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause13])).
% 83.64/12.57 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.57 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.57 thf(zip_derived_cl4710, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(clause157, axiom,
% 83.64/12.57 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 83.64/12.57 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 83.64/12.57 thf(zip_derived_cl156, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssList @ X2)
% 83.64/12.57 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause157])).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(zip_derived_cl2457, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssList @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (ssList @ X0)
% 83.64/12.57 | ~ (ssList @ (cons @ X2 @ X1))
% 83.64/12.57 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.57 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 83.64/12.57 thf(zip_derived_cl2487, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 83.64/12.57 | ~ (ssList @ (cons @ X2 @ X1))
% 83.64/12.57 | ~ (ssItem @ X2)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssList @ X0))),
% 83.64/12.57 inference('simplify', [status(thm)], [zip_derived_cl2457])).
% 83.64/12.57 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.57 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.57 thf(zip_derived_cl8221, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 83.64/12.57 | ~ (ssList @ (cons @ X2 @ X1))
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssList @ X0))),
% 83.64/12.57 inference('demod', [status(thm)],
% 83.64/12.57 [zip_derived_cl2487, zip_derived_cl4644])).
% 83.64/12.57 thf(zip_derived_cl4710, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.57 thf(zip_derived_cl8222, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssList @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.57 inference('clc', [status(thm)], [zip_derived_cl8221, zip_derived_cl4710])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(zip_derived_cl156, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssList @ X2)
% 83.64/12.57 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause157])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(zip_derived_cl84, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(zip_derived_cl156, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssList @ X2)
% 83.64/12.57 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause157])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(clause149, axiom,
% 83.64/12.57 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 83.64/12.57 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 83.64/12.57 thf(zip_derived_cl148, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssList @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssList @ X2)
% 83.64/12.57 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.57 thf(clause120, axiom,
% 83.64/12.57 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 83.64/12.57 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 83.64/12.57 thf(zip_derived_cl119, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause120])).
% 83.64/12.57 thf(zip_derived_cl85, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i]:
% 83.64/12.57 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.57 thf(zip_derived_cl148, plain,
% 83.64/12.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.57 (~ (ssList @ X0)
% 83.64/12.57 | ~ (ssList @ X1)
% 83.64/12.57 | ~ (ssList @ X2)
% 83.64/12.57 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.57 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.57 thf(co1_14, conjecture,
% 83.64/12.57 (( app @
% 83.64/12.57 ( app @
% 83.64/12.57 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 83.64/12.57 ( cons @ sk6 @ nil ) ) @
% 83.64/12.57 sk9 ) !=
% 83.64/12.57 ( sk1 ))).
% 83.64/12.57 thf(zf_stmt_1, negated_conjecture,
% 83.64/12.57 (( app @
% 83.64/12.57 ( app @
% 83.64/12.57 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 83.64/12.57 ( cons @ sk6 @ nil ) ) @
% 83.64/12.57 sk9 ) =
% 83.64/12.57 ( sk1 )),
% 83.64/12.57 inference('cnf.neg', [status(esa)], [co1_14])).
% 83.64/12.57 thf(zip_derived_cl198, plain,
% 83.64/12.57 (((app @
% 83.64/12.57 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 83.64/12.57 (cons @ sk6 @ nil)) @
% 83.64/12.57 sk9) = (sk1))),
% 83.64/12.57 inference('cnf', [status(esa)], [zf_stmt_1])).
% 83.64/12.57 thf(zip_derived_cl2163, plain,
% 83.64/12.57 ((~ (ssList @ sk7)
% 83.64/12.57 | ~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.57 | ~ (ssList @ sk8)
% 83.64/12.57 | ((app @
% 83.64/12.57 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 83.64/12.57 (cons @ sk6 @ nil)) @
% 83.64/12.57 sk9) = (sk1)))),
% 83.64/12.57 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl198])).
% 83.64/12.57 thf(co1_11, conjecture, (~( ssList @ sk7 ))).
% 83.64/12.57 thf(zf_stmt_2, negated_conjecture, (ssList @ sk7),
% 83.64/12.57 inference('cnf.neg', [status(esa)], [co1_11])).
% 83.64/12.57 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.57 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.57 thf(co1_12, conjecture, (~( ssList @ sk8 ))).
% 83.64/12.57 thf(zf_stmt_3, negated_conjecture, (ssList @ sk8),
% 83.64/12.57 inference('cnf.neg', [status(esa)], [co1_12])).
% 83.64/12.57 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.57 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.57 thf(zip_derived_cl2219, plain,
% 83.64/12.57 ((~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.57 | ((app @
% 83.64/12.57 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 83.64/12.57 (cons @ sk6 @ nil)) @
% 83.64/12.57 sk9) = (sk1)))),
% 83.64/12.57 inference('demod', [status(thm)],
% 83.64/12.57 [zip_derived_cl2163, zip_derived_cl195, zip_derived_cl196])).
% 83.64/12.57 thf(zip_derived_cl2224, plain,
% 83.64/12.57 ((~ (ssList @ nil)
% 83.64/12.57 | ~ (ssItem @ sk5)
% 83.64/12.57 | ((app @
% 83.64/12.57 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 83.64/12.57 (cons @ sk6 @ nil)) @
% 83.64/12.57 sk9) = (sk1)))),
% 83.64/12.57 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2219])).
% 83.64/12.57 thf(clause8, axiom, (ssList @ nil)).
% 83.64/12.57 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.57 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.57 thf(co1_9, conjecture, (~( ssItem @ sk5 ))).
% 83.64/12.57 thf(zf_stmt_4, negated_conjecture, (ssItem @ sk5),
% 83.64/12.57 inference('cnf.neg', [status(esa)], [co1_9])).
% 83.64/12.57 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.57 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.57 thf(zip_derived_cl2225, plain,
% 83.64/12.57 (((app @
% 83.64/12.57 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 83.64/12.57 (cons @ sk6 @ nil)) @
% 83.64/12.57 sk9) = (sk1))),
% 83.64/12.57 inference('demod', [status(thm)],
% 83.64/12.57 [zip_derived_cl2224, zip_derived_cl7, zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl2247, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssItem @ sk5)
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl119, zip_derived_cl2225])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.58 thf(zip_derived_cl2251, plain,
% 83.64/12.58 (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ nil)) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2247, zip_derived_cl196, zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl2287, plain,
% 83.64/12.58 ((~ (ssList @ sk7)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ sk7 @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil))) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl148, zip_derived_cl2251])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl2289, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ sk7 @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil))) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl2287, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl2699, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssItem @ sk5)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ sk7 @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil))) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2289])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.58 thf(zip_derived_cl2700, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ sk7 @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil))) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2699, zip_derived_cl196, zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl2734, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ~ (ssItem @ sk6)
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ sk7 @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil))) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2700])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(co1_10, conjecture, (~( ssItem @ sk6 ))).
% 83.64/12.58 thf(zf_stmt_5, negated_conjecture, (ssItem @ sk6),
% 83.64/12.58 inference('cnf.neg', [status(esa)], [co1_10])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl2735, plain,
% 83.64/12.58 (((app @ (app @ sk7 @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2734, zip_derived_cl7, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl2758, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssItem @ sk5)
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ sk7 @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil)))) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl156, zip_derived_cl2735])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.58 thf(zip_derived_cl2760, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ sk7 @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil)))) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2758, zip_derived_cl196, zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl2884, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ~ (ssItem @ sk6)
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ sk7 @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil)))) @ sk9)
% 83.64/12.58 = (sk1)))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2760])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl2885, plain,
% 83.64/12.58 (((app @ (app @ sk7 @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil)))) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2884, zip_derived_cl7, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl2905, plain,
% 83.64/12.58 ((~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))))
% 83.64/12.58 | ~ (ssList @ sk7)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))) @ sk9))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl2885, zip_derived_cl148])).
% 83.64/12.58 thf(co1_13, conjecture, (~( ssList @ sk9 ))).
% 83.64/12.58 thf(zf_stmt_6, negated_conjecture, (ssList @ sk9),
% 83.64/12.58 inference('cnf.neg', [status(esa)], [co1_13])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl2929, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2905, zip_derived_cl197, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl3211, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssItem @ sk5)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2929])).
% 83.64/12.58 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.58 thf(zip_derived_cl3213, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl3211, zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl3215, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3213])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl3217, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl3215, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl3289, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ~ (ssItem @ sk6)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3217])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl3290, plain,
% 83.64/12.58 (((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ nil))) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3289, zip_derived_cl7, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl3313, plain,
% 83.64/12.58 ((~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssItem @ sk5)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl156, zip_derived_cl3290])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.58 thf(zip_derived_cl3316, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3313, zip_derived_cl197, zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl3379, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3316])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl3381, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl3379, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl3453, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ~ (ssItem @ sk6)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3381])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl3454, plain,
% 83.64/12.58 (((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3453, zip_derived_cl7, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl8222, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('clc', [status(thm)], [zip_derived_cl8221, zip_derived_cl4710])).
% 83.64/12.58 thf(zip_derived_cl119, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause120])).
% 83.64/12.58 thf(zip_derived_cl85, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl3454, plain,
% 83.64/12.58 (((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3453, zip_derived_cl7, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl3488, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9))))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl148, zip_derived_cl3454])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl3491, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9))))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3488, zip_derived_cl196, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl3588, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ~ (ssItem @ sk6)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9))))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3491])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl3589, plain,
% 83.64/12.58 (((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (cons @ sk5 @ (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3588, zip_derived_cl7, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl3627, plain,
% 83.64/12.58 ((~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssItem @ sk6)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl119, zip_derived_cl3589])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl3631, plain,
% 83.64/12.58 (((sk1) = (app @ sk7 @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3627, zip_derived_cl197, zip_derived_cl194])).
% 83.64/12.58 thf(clause150, axiom,
% 83.64/12.58 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 83.64/12.58 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 83.64/12.58 thf(zip_derived_cl149, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((X2) = (X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause150])).
% 83.64/12.58 thf(zip_derived_cl3726, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (((app @ sk7 @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ sk7)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 | ((X0) = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl3631, zip_derived_cl149])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl3763, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (((app @ sk7 @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 | ((X0) = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl3726, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl10206, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ sk9))
% 83.64/12.58 | ((app @ sk7 @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((X0) = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl8222, zip_derived_cl3763])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl10208, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ (cons @ sk6 @ sk9))
% 83.64/12.58 | ((app @ sk7 @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((X0) = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl10206, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl11111, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ sk9)
% 83.64/12.58 | ((app @ sk7 @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((X0) = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl10208])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl11112, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (((app @ sk7 @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((X0) = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl11111, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl11116, plain,
% 83.64/12.58 ((((sk1) != (sk1))
% 83.64/12.58 | ~ (ssList @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))
% 83.64/12.58 | ((cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl3454, zip_derived_cl11112])).
% 83.64/12.58 thf(zip_derived_cl11134, plain,
% 83.64/12.58 ((((cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 | ~ (ssList @
% 83.64/12.58 (cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl11116])).
% 83.64/12.58 thf(zip_derived_cl11176, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl8222, zip_derived_cl11134])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl11180, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ((cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl11176, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl11187, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl11180])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(clause145, axiom,
% 83.64/12.58 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 83.64/12.58 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 83.64/12.58 thf(zip_derived_cl144, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (((nil) != (X0))
% 83.64/12.58 | ((nil) != (X1))
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((app @ X0 @ X1) = (nil)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause145])).
% 83.64/12.58 thf(zip_derived_cl8222, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('clc', [status(thm)], [zip_derived_cl8221, zip_derived_cl4710])).
% 83.64/12.58 thf(zip_derived_cl8225, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((nil) != (X0))
% 83.64/12.58 | ((nil) != (X1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | (ssList @ (cons @ X2 @ nil)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl144, zip_derived_cl8222])).
% 83.64/12.58 thf(zip_derived_cl8261, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 ( (ssList @ (cons @ X2 @ nil))
% 83.64/12.58 | ((nil) != (X1))
% 83.64/12.58 | ((nil) != (X0))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl8225])).
% 83.64/12.58 thf(zip_derived_cl9232, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ nil)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((nil) != (X0))
% 83.64/12.58 | (ssList @ (cons @ X1 @ nil)))),
% 83.64/12.58 inference('eq_res', [status(thm)], [zip_derived_cl8261])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl9233, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ((nil) != (X0)) | (ssList @ (cons @ X1 @ nil)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9232, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl9234, plain,
% 83.64/12.58 (![X0 : $i]: ( (ssList @ (cons @ X0 @ nil)) | ~ (ssList @ nil))),
% 83.64/12.58 inference('eq_res', [status(thm)], [zip_derived_cl9233])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl11189, plain,
% 83.64/12.58 (((cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl11187, zip_derived_cl196, zip_derived_cl9235])).
% 83.64/12.58 thf(clause96, axiom,
% 83.64/12.58 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 83.64/12.58 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 83.64/12.58 thf(zip_derived_cl95, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause96])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4711, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl11237, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 | ((tl @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl11189, zip_derived_cl4711])).
% 83.64/12.58 thf(zip_derived_cl23196, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((tl @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl11237])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl23200, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ((tl @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23196, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl23207, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((tl @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl23200])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl23209, plain,
% 83.64/12.58 (((tl @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23207, zip_derived_cl196, zip_derived_cl9235])).
% 83.64/12.58 thf(zip_derived_cl4711, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl23354, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 | ((app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl23209, zip_derived_cl4711])).
% 83.64/12.58 thf(zip_derived_cl23367, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ sk9))
% 83.64/12.58 | ((app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl23354])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl23369, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ sk9))
% 83.64/12.58 | ((app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23367, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl23461, plain,
% 83.64/12.58 ((~ (ssList @ sk9)
% 83.64/12.58 | ((app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl23369])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl23462, plain,
% 83.64/12.58 (((app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (app @ sk8 @ (cons @ sk6 @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23461, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl23557, plain,
% 83.64/12.58 ((~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | ((app @ sk8 @ (cons @ sk6 @ sk9))
% 83.64/12.58 = (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl23462, zip_derived_cl148])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl23637, plain,
% 83.64/12.58 (((app @ sk8 @ (cons @ sk6 @ sk9))
% 83.64/12.58 = (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23557, zip_derived_cl197, zip_derived_cl9235,
% 83.64/12.58 zip_derived_cl196])).
% 83.64/12.58 thf(clause123, axiom,
% 83.64/12.58 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 83.64/12.58 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 83.64/12.58 thf(zip_derived_cl122, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((nil) = (X1))
% 83.64/12.58 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause123])).
% 83.64/12.58 thf(zip_derived_cl23668, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9))) = (hd @ sk8)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl23637, zip_derived_cl122])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl23757, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9))) = (hd @ sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23668, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl26249, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9))) = (hd @ sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl23757])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl26251, plain,
% 83.64/12.58 ((((nil) = (sk8))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9))) = (hd @ sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl26249, zip_derived_cl9235, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl4711, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl74, plain,
% 83.64/12.58 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause75])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl85, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.58 thf(zip_derived_cl85, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause86])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl2735, plain,
% 83.64/12.58 (((app @ (app @ sk7 @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2734, zip_derived_cl7, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl2755, plain,
% 83.64/12.58 ((~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssList @ sk7)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl2735, zip_derived_cl148])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl2780, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2755, zip_derived_cl197, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl3206, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2780])).
% 83.64/12.58 thf(zip_derived_cl4563, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssItem @ sk5)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3206])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.58 thf(zip_derived_cl4564, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl4563, zip_derived_cl196, zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl4578, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ~ (ssItem @ sk6)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4564])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl4579, plain,
% 83.64/12.58 (((sk1)
% 83.64/12.58 = (app @ sk7 @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl4578, zip_derived_cl7, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl11112, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (((app @ sk7 @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((X0) = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl11111, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl11120, plain,
% 83.64/12.58 ((((sk1) != (sk1))
% 83.64/12.58 | ~ (ssList @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 | ((app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4579, zip_derived_cl11112])).
% 83.64/12.58 thf(zip_derived_cl11138, plain,
% 83.64/12.58 ((((app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 | ~ (ssList @
% 83.64/12.58 (app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl11120])).
% 83.64/12.58 thf(zip_derived_cl12765, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl11138])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl12769, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ((app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl12765, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl12773, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl12769])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl12775, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl12773, zip_derived_cl9235])).
% 83.64/12.58 thf(zip_derived_cl12810, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ((app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl12775])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl12811, plain,
% 83.64/12.58 (((app @ (app @ (cons @ sk5 @ sk8) @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl12810, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl12856, plain,
% 83.64/12.58 ((~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (app @ (cons @ sk5 @ sk8) @ (app @ (cons @ sk6 @ nil) @ sk9))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl12811, zip_derived_cl148])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl12903, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (app @ (cons @ sk5 @ sk8) @ (app @ (cons @ sk6 @ nil) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl12856, zip_derived_cl197, zip_derived_cl9235])).
% 83.64/12.58 thf(zip_derived_cl12998, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ((cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (app @ (cons @ sk5 @ sk8) @ (app @ (cons @ sk6 @ nil) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl12903])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl12999, plain,
% 83.64/12.58 (((cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (app @ (cons @ sk5 @ sk8) @ (app @ (cons @ sk6 @ nil) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl12998, zip_derived_cl196])).
% 83.64/12.58 thf(clause133, axiom,
% 83.64/12.58 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 83.64/12.58 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 83.64/12.58 thf(zip_derived_cl132, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((nil) = (X1))
% 83.64/12.58 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause133])).
% 83.64/12.58 thf(zip_derived_cl13018, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((tl @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (app @ (tl @ (cons @ sk5 @ sk8)) @
% 83.64/12.58 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl12999, zip_derived_cl132])).
% 83.64/12.58 thf(zip_derived_cl4711, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl12999, plain,
% 83.64/12.58 (((cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (app @ (cons @ sk5 @ sk8) @ (app @ (cons @ sk6 @ nil) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl12998, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl122, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((nil) = (X1))
% 83.64/12.58 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause123])).
% 83.64/12.58 thf(zip_derived_cl13017, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((hd @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (hd @ (cons @ sk5 @ sk8))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl12999, zip_derived_cl122])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl11189, plain,
% 83.64/12.58 (((cons @ sk5 @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 = (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl11187, zip_derived_cl196, zip_derived_cl9235])).
% 83.64/12.58 thf(clause97, axiom,
% 83.64/12.58 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 83.64/12.58 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 83.64/12.58 thf(zip_derived_cl96, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause97])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4712, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl11296, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 83.64/12.58 | ((hd @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))) = (sk5)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl11189, zip_derived_cl4712])).
% 83.64/12.58 thf(zip_derived_cl15003, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((hd @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))) = (sk5)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl11296])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl15007, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ((hd @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))) = (sk5)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15003, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl15219, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((hd @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))) = (sk5)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl15007])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl15221, plain,
% 83.64/12.58 (((hd @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9)))) = (sk5))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15219, zip_derived_cl196, zip_derived_cl9235])).
% 83.64/12.58 thf(zip_derived_cl15434, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((sk5) = (hd @ (cons @ sk5 @ sk8))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl13017, zip_derived_cl15221])).
% 83.64/12.58 thf(zip_derived_cl15435, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((sk5) = (hd @ (cons @ sk5 @ sk8))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl15434])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl15436, plain,
% 83.64/12.58 ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((sk5) = (hd @ (cons @ sk5 @ sk8))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15435, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl15545, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((sk5) = (hd @ (cons @ sk5 @ sk8))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl15436])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl15547, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8)) | ((sk5) = (hd @ (cons @ sk5 @ sk8))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15545, zip_derived_cl9235, zip_derived_cl197])).
% 83.64/12.58 thf(clause104, axiom,
% 83.64/12.58 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 83.64/12.58 ( ( nil ) = ( U ) ))).
% 83.64/12.58 thf(zip_derived_cl103, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 83.64/12.58 | ((nil) = (X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause104])).
% 83.64/12.58 thf(zip_derived_cl15549, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((cons @ sk5 @ (tl @ (cons @ sk5 @ sk8))) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl15547, zip_derived_cl103])).
% 83.64/12.58 thf(zip_derived_cl15552, plain,
% 83.64/12.58 ((((cons @ sk5 @ (tl @ (cons @ sk5 @ sk8))) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl15549])).
% 83.64/12.58 thf(zip_derived_cl15571, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ((cons @ sk5 @ (tl @ (cons @ sk5 @ sk8))) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl15552])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl15572, plain,
% 83.64/12.58 ((((cons @ sk5 @ (tl @ (cons @ sk5 @ sk8))) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15571, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl15573, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | (ssList @ (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl15572, zip_derived_cl4710])).
% 83.64/12.58 thf(zip_derived_cl15685, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | (ssList @ (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4711, zip_derived_cl15573])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl15687, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8)) | (ssList @ (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15685, zip_derived_cl196, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl17557, plain,
% 83.64/12.58 ((((tl @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (app @ (tl @ (cons @ sk5 @ sk8)) @ (app @ (cons @ sk6 @ nil) @ sk9)))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9)))),
% 83.64/12.58 inference('clc', [status(thm)],
% 83.64/12.58 [zip_derived_cl13018, zip_derived_cl15687])).
% 83.64/12.58 thf(zip_derived_cl23209, plain,
% 83.64/12.58 (((tl @ (cons @ sk5 @ (app @ sk8 @ (cons @ sk6 @ sk9))))
% 83.64/12.58 = (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23207, zip_derived_cl196, zip_derived_cl9235])).
% 83.64/12.58 thf(zip_derived_cl23348, plain,
% 83.64/12.58 ((((app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (app @ (tl @ (cons @ sk5 @ sk8)) @ (app @ (cons @ sk6 @ nil) @ sk9)))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl17557, zip_derived_cl23209])).
% 83.64/12.58 thf(zip_derived_cl23462, plain,
% 83.64/12.58 (((app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (app @ sk8 @ (cons @ sk6 @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23461, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl31766, plain,
% 83.64/12.58 ((((app @ sk8 @ (cons @ sk6 @ sk9))
% 83.64/12.58 = (app @ (tl @ (cons @ sk5 @ sk8)) @ (app @ (cons @ sk6 @ nil) @ sk9)))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23348, zip_derived_cl23462])).
% 83.64/12.58 thf(zip_derived_cl31767, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((app @ sk8 @ (cons @ sk6 @ sk9))
% 83.64/12.58 = (app @ (tl @ (cons @ sk5 @ sk8)) @
% 83.64/12.58 (app @ (cons @ sk6 @ nil) @ sk9)))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl31766])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl31769, plain,
% 83.64/12.58 ((((app @ sk8 @ (cons @ sk6 @ sk9))
% 83.64/12.58 = (app @ (tl @ (cons @ sk5 @ sk8)) @ (app @ (cons @ sk6 @ nil) @ sk9)))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl31767, zip_derived_cl9235, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl122, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((nil) = (X1))
% 83.64/12.58 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause123])).
% 83.64/12.58 thf(zip_derived_cl31789, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ~ (ssList @ (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((nil) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (hd @ (tl @ (cons @ sk5 @ sk8)))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl31769, zip_derived_cl122])).
% 83.64/12.58 thf(zip_derived_cl34160, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ((nil) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (hd @ (tl @ (cons @ sk5 @ sk8)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl74, zip_derived_cl31789])).
% 83.64/12.58 thf(zip_derived_cl34162, plain,
% 83.64/12.58 ((((hd @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (hd @ (tl @ (cons @ sk5 @ sk8))))
% 83.64/12.58 | ((nil) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl34160])).
% 83.64/12.58 thf(zip_derived_cl15687, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8)) | (ssList @ (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15685, zip_derived_cl196, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl34183, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk9))
% 83.64/12.58 | ((nil) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (hd @ (tl @ (cons @ sk5 @ sk8)))))),
% 83.64/12.58 inference('clc', [status(thm)],
% 83.64/12.58 [zip_derived_cl34162, zip_derived_cl15687])).
% 83.64/12.58 thf(zip_derived_cl34184, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (hd @ (tl @ (cons @ sk5 @ sk8)))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl34183])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl34186, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((hd @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 = (hd @ (tl @ (cons @ sk5 @ sk8)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl34184, zip_derived_cl9235, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl103, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 83.64/12.58 | ((nil) = (X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause104])).
% 83.64/12.58 thf(zip_derived_cl34221, plain,
% 83.64/12.58 ((((nil) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((cons @ (hd @ (app @ sk8 @ (cons @ sk6 @ sk9))) @
% 83.64/12.58 (tl @ (tl @ (cons @ sk5 @ sk8)))) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((nil) = (tl @ (cons @ sk5 @ sk8))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl34186, zip_derived_cl103])).
% 83.64/12.58 thf(zip_derived_cl34226, plain,
% 83.64/12.58 ((((cons @ (hd @ (app @ sk8 @ (cons @ sk6 @ sk9))) @
% 83.64/12.58 (tl @ (tl @ (cons @ sk5 @ sk8)))) = (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ~ (ssList @ (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (tl @ (cons @ sk5 @ sk8))))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl34221])).
% 83.64/12.58 thf(zip_derived_cl34282, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ((cons @ (hd @ (app @ sk8 @ (cons @ sk6 @ sk9))) @ (tl @ sk8))
% 83.64/12.58 = (sk8))
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4711, zip_derived_cl34226])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl34284, plain,
% 83.64/12.58 ((((cons @ (hd @ (app @ sk8 @ (cons @ sk6 @ sk9))) @ (tl @ sk8)) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl34282, zip_derived_cl196, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl34367, plain,
% 83.64/12.58 ((((nil) = (sk8))
% 83.64/12.58 | ((cons @ (hd @ sk8) @ (tl @ sk8)) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl26251, zip_derived_cl34284])).
% 83.64/12.58 thf(zip_derived_cl34372, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((cons @ (hd @ sk8) @ (tl @ sk8)) = (sk8))
% 83.64/12.58 | ((nil) = (sk8)))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl34367])).
% 83.64/12.58 thf(zip_derived_cl1771, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | (memberP @ (cons @ X0 @ X1) @ X0))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl1770])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4763, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1) | (memberP @ (cons @ X0 @ X1) @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl1771, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl34384, plain,
% 83.64/12.58 ((((nil) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (tl @ sk8))
% 83.64/12.58 | (memberP @ sk8 @ (hd @ sk8)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl34372, zip_derived_cl4763])).
% 83.64/12.58 thf(zip_derived_cl34428, plain,
% 83.64/12.58 ((((nil) = (sk8))
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | (memberP @ sk8 @ (hd @ sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl74, zip_derived_cl34384])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl34429, plain,
% 83.64/12.58 ((((nil) = (sk8))
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | (memberP @ sk8 @ (hd @ sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl34428, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl34430, plain,
% 83.64/12.58 (( (memberP @ sk8 @ (hd @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8)))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl34429])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(clause141, axiom,
% 83.64/12.58 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) |
% 83.64/12.58 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ W @ U ) @ V ))).
% 83.64/12.58 thf(zip_derived_cl140, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | (memberP @ (app @ X2 @ X0) @ X1))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause141])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4735, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | (memberP @ (app @ X2 @ X0) @ X1))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl5799, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (memberP @ X0 @ X3)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ (app @ X2 @ X1))
% 83.64/12.58 | (memberP @ (app @ X2 @ (app @ X1 @ X0)) @ X3))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl148, zip_derived_cl4735])).
% 83.64/12.58 thf(zip_derived_cl5828, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 ( (memberP @ (app @ X2 @ (app @ X1 @ X0)) @ X3)
% 83.64/12.58 | ~ (ssList @ (app @ X2 @ X1))
% 83.64/12.58 | ~ (memberP @ X0 @ X3)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl5799])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl9408, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (memberP @ X0 @ X3)
% 83.64/12.58 | (memberP @ (app @ X2 @ (app @ X1 @ X0)) @ X3))),
% 83.64/12.58 inference('clc', [status(thm)], [zip_derived_cl5828, zip_derived_cl84])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl2134, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ (app @ X2 @ X1))
% 83.64/12.58 | (ssList @ (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl84])).
% 83.64/12.58 thf(zip_derived_cl2193, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 ( (ssList @ (app @ X2 @ (app @ X1 @ X0)))
% 83.64/12.58 | ~ (ssList @ (app @ X2 @ X1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl2134])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl7857, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | (ssList @ (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('clc', [status(thm)], [zip_derived_cl2193, zip_derived_cl84])).
% 83.64/12.58 thf(zip_derived_cl2225, plain,
% 83.64/12.58 (((app @
% 83.64/12.58 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 83.64/12.58 (cons @ sk6 @ nil)) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2224, zip_derived_cl7, zip_derived_cl193])).
% 83.64/12.58 thf(co1_8, conjecture,
% 83.64/12.58 (~( ( ~( memberP @ B @ D ) ) | ( leq @ D @ A ) | ( ~( ssItem @ D ) ) |
% 83.64/12.58 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk3 ) ) |
% 83.64/12.58 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 83.64/12.58 thf(zf_stmt_7, negated_conjecture,
% 83.64/12.58 (( ~( memberP @ B @ D ) ) | ( leq @ D @ A ) | ( ~( ssItem @ D ) ) |
% 83.64/12.58 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk3 ) ) |
% 83.64/12.58 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 83.64/12.58 inference('cnf.neg', [status(esa)], [co1_8])).
% 83.64/12.58 thf(zip_derived_cl192, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | (leq @ X1 @ X2)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X3) != (sk3))
% 83.64/12.58 | ~ (ssList @ X3)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssItem @ X2))),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_7])).
% 83.64/12.58 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 83.64/12.58 thf(zf_stmt_8, negated_conjecture, (( sk1 ) = ( sk3 )),
% 83.64/12.58 inference('cnf.neg', [status(esa)], [co1_6])).
% 83.64/12.58 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_8])).
% 83.64/12.58 thf(zip_derived_cl3415, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | (leq @ X1 @ X2)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X3) != (sk1))
% 83.64/12.58 | ~ (ssList @ X3)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssItem @ X2))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 83.64/12.58 thf(zip_derived_cl3422, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (memberP @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ X0)
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ((sk1) != (sk1))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)))
% 83.64/12.58 | ~ (ssItem @ sk6))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl2225, zip_derived_cl3415])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl3439, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (memberP @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ X0)
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ((sk1) != (sk1))
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3422, zip_derived_cl197, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl3440, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)))
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ X0))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl3439])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl8641, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)))
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3440, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl8643, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.58 | ~ (ssList @ sk7)
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ X0))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl7857, zip_derived_cl8641])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl8647, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl8643, zip_derived_cl196, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl38269, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 ( (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl8647, zip_derived_cl9235])).
% 83.64/12.58 thf(zip_derived_cl38273, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (memberP @ sk8 @ X0)
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.58 | ~ (ssList @ sk7)
% 83.64/12.58 | (leq @ X0 @ sk6))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl9408, zip_derived_cl38269])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl38278, plain,
% 83.64/12.58 (![X0 : $i]: (~ (memberP @ sk8 @ X0) | (leq @ X0 @ sk6))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl38273, zip_derived_cl196, zip_derived_cl9235,
% 83.64/12.58 zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl38283, plain,
% 83.64/12.58 ((((nil) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | (leq @ (hd @ sk8) @ sk6))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl34430, zip_derived_cl38278])).
% 83.64/12.58 thf(co1_15, conjecture, (~( leq @ sk6 @ sk5 ))).
% 83.64/12.58 thf(zf_stmt_9, negated_conjecture, (leq @ sk6 @ sk5),
% 83.64/12.58 inference('cnf.neg', [status(esa)], [co1_15])).
% 83.64/12.58 thf(zip_derived_cl199, plain, ( (leq @ sk6 @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_9])).
% 83.64/12.58 thf(clause156, axiom,
% 83.64/12.58 (( ~( leq @ U @ V ) ) | ( ~( leq @ V @ W ) ) | ( ~( ssItem @ W ) ) |
% 83.64/12.58 ( ~( ssItem @ V ) ) | ( ~( ssItem @ U ) ) | ( leq @ U @ W ))).
% 83.64/12.58 thf(zip_derived_cl155, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (leq @ X0 @ X1)
% 83.64/12.58 | ~ (leq @ X1 @ X2)
% 83.64/12.58 | ~ (ssItem @ X2)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | (leq @ X0 @ X2))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause156])).
% 83.64/12.58 thf(zip_derived_cl2437, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (leq @ sk5 @ X0)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssItem @ sk5)
% 83.64/12.58 | ~ (ssItem @ sk6)
% 83.64/12.58 | (leq @ sk6 @ X0))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl155])).
% 83.64/12.58 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl2444, plain,
% 83.64/12.58 (![X0 : $i]: (~ (leq @ sk5 @ X0) | ~ (ssItem @ X0) | (leq @ sk6 @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2437, zip_derived_cl193, zip_derived_cl194])).
% 83.64/12.58 thf(clause108, axiom,
% 83.64/12.58 (( ~( leq @ U @ V ) ) | ( ~( ssItem @ U ) ) | ( ~( ssItem @ V ) ) |
% 83.64/12.58 ( geq @ V @ U ))).
% 83.64/12.58 thf(zip_derived_cl107, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (leq @ X0 @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | (geq @ X1 @ X0))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause108])).
% 83.64/12.58 thf(zip_derived_cl107, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (leq @ X0 @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | (geq @ X1 @ X0))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause108])).
% 83.64/12.58 thf(clause126, axiom,
% 83.64/12.58 (( ~( geq @ U @ V ) ) | ( ~( geq @ V @ U ) ) | ( ~( ssItem @ U ) ) |
% 83.64/12.58 ( ~( ssItem @ V ) ) | ( ( V ) = ( U ) ))).
% 83.64/12.58 thf(zip_derived_cl125, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (geq @ X0 @ X1)
% 83.64/12.58 | ~ (geq @ X1 @ X0)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ((X1) = (X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause126])).
% 83.64/12.58 thf(zip_derived_cl1548, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssItem @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (leq @ X0 @ X1)
% 83.64/12.58 | ~ (geq @ X0 @ X1)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ((X0) = (X1)))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl125])).
% 83.64/12.58 thf(zip_derived_cl1550, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (((X0) = (X1))
% 83.64/12.58 | ~ (geq @ X0 @ X1)
% 83.64/12.58 | ~ (leq @ X0 @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssItem @ X1))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl1548])).
% 83.64/12.58 thf(zip_derived_cl1606, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssItem @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (leq @ X0 @ X1)
% 83.64/12.58 | ((X1) = (X0))
% 83.64/12.58 | ~ (leq @ X1 @ X0)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ~ (ssItem @ X0))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl107, zip_derived_cl1550])).
% 83.64/12.58 thf(zip_derived_cl1608, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (leq @ X1 @ X0)
% 83.64/12.58 | ((X1) = (X0))
% 83.64/12.58 | ~ (leq @ X0 @ X1)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssItem @ X1))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl1606])).
% 83.64/12.58 thf(zip_derived_cl2447, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssItem @ X0)
% 83.64/12.58 | ~ (leq @ sk5 @ X0)
% 83.64/12.58 | ((sk6) = (X0))
% 83.64/12.58 | ~ (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssItem @ sk6))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl2444, zip_derived_cl1608])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl2453, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssItem @ X0)
% 83.64/12.58 | ~ (leq @ sk5 @ X0)
% 83.64/12.58 | ((sk6) = (X0))
% 83.64/12.58 | ~ (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (ssItem @ X0))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl2447, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl2454, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (leq @ X0 @ sk6)
% 83.64/12.58 | ((sk6) = (X0))
% 83.64/12.58 | ~ (leq @ sk5 @ X0)
% 83.64/12.58 | ~ (ssItem @ X0))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl2453])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4775, plain,
% 83.64/12.58 (![X0 : $i]: (~ (leq @ X0 @ sk6) | ((sk6) = (X0)) | ~ (leq @ sk5 @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2454, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl38320, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ((sk6) = (hd @ sk8))
% 83.64/12.58 | ~ (leq @ sk5 @ (hd @ sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl38283, zip_derived_cl4775])).
% 83.64/12.58 thf(zip_derived_cl34430, plain,
% 83.64/12.58 (( (memberP @ sk8 @ (hd @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8)))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl34429])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(clause140, axiom,
% 83.64/12.58 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 83.64/12.58 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ U @ W ) @ V ))).
% 83.64/12.58 thf(zip_derived_cl139, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | (memberP @ (app @ X0 @ X2) @ X1))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause140])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4734, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | (memberP @ (app @ X0 @ X2) @ X1))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl139, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl4710, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl198, plain,
% 83.64/12.58 (((app @
% 83.64/12.58 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 83.64/12.58 (cons @ sk6 @ nil)) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_1])).
% 83.64/12.58 thf(zip_derived_cl2159, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1)))),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl198])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl2215, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl2159, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl5298, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl2215])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl5321, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl5298, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl5578, plain,
% 83.64/12.58 ((~ (ssList @ sk7)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1)))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5321])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl5580, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl5578, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl5587, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl5580])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl5588, plain,
% 83.64/12.58 (((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ nil))) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl5587, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl5608, plain,
% 83.64/12.58 ((~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl5588, zip_derived_cl148])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl5637, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl5608, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl8653, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5637])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl8655, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl8653, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl8688, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl8655])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl8689, plain,
% 83.64/12.58 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl8688, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl8690, plain,
% 83.64/12.58 ((~ (ssList @ sk7)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl8689])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl8692, plain,
% 83.64/12.58 ((~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl8690, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl8697, plain,
% 83.64/12.58 ((~ (ssList @ nil)
% 83.64/12.58 | ((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl8692])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl8698, plain,
% 83.64/12.58 (((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl8697, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl23462, plain,
% 83.64/12.58 (((app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)
% 83.64/12.58 = (app @ sk8 @ (cons @ sk6 @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23461, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl23468, plain,
% 83.64/12.58 (((sk1)
% 83.64/12.58 = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @
% 83.64/12.58 (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl8698, zip_derived_cl23462])).
% 83.64/12.58 thf(co1_7, conjecture,
% 83.64/12.58 (~( ( ~( memberP @ C @ D ) ) | ( leq @ A @ D ) | ( ~( ssItem @ D ) ) |
% 83.64/12.58 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk3 ) ) |
% 83.64/12.58 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 83.64/12.58 thf(zf_stmt_10, negated_conjecture,
% 83.64/12.58 (( ~( memberP @ C @ D ) ) | ( leq @ A @ D ) | ( ~( ssItem @ D ) ) |
% 83.64/12.58 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk3 ) ) |
% 83.64/12.58 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 83.64/12.58 inference('cnf.neg', [status(esa)], [co1_7])).
% 83.64/12.58 thf(zip_derived_cl191, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | (leq @ X2 @ X1)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ((app @ (app @ X3 @ (cons @ X2 @ nil)) @ X0) != (sk3))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X3)
% 83.64/12.58 | ~ (ssItem @ X2))),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_10])).
% 83.64/12.58 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_8])).
% 83.64/12.58 thf(zip_derived_cl3227, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | (leq @ X2 @ X1)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ((app @ (app @ X3 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X3)
% 83.64/12.58 | ~ (ssItem @ X2))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl190])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4784, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | (leq @ X2 @ X1)
% 83.64/12.58 | ((app @ (app @ X3 @ (cons @ X2 @ nil)) @ X0) != (sk1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X3))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3227, zip_derived_cl4644, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl24008, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (memberP @ (app @ sk8 @ (cons @ sk6 @ sk9)) @ X0)
% 83.64/12.58 | (leq @ sk5 @ X0)
% 83.64/12.58 | ((sk1) != (sk1))
% 83.64/12.58 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 83.64/12.58 | ~ (ssList @ sk7))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl23468, zip_derived_cl4784])).
% 83.64/12.58 thf(zip_derived_cl23637, plain,
% 83.64/12.58 (((app @ sk8 @ (cons @ sk6 @ sk9))
% 83.64/12.58 = (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23557, zip_derived_cl197, zip_derived_cl9235,
% 83.64/12.58 zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl7857, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | (ssList @ (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('clc', [status(thm)], [zip_derived_cl2193, zip_derived_cl84])).
% 83.64/12.58 thf(zip_derived_cl23739, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ nil))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl23637, zip_derived_cl7857])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl23828, plain,
% 83.64/12.58 ( (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl23739, zip_derived_cl196, zip_derived_cl9235,
% 83.64/12.58 zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl24110, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (memberP @ (app @ sk8 @ (cons @ sk6 @ sk9)) @ X0)
% 83.64/12.58 | (leq @ sk5 @ X0)
% 83.64/12.58 | ((sk1) != (sk1)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl24008, zip_derived_cl23828, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl24111, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 ( (leq @ sk5 @ X0)
% 83.64/12.58 | ~ (memberP @ (app @ sk8 @ (cons @ sk6 @ sk9)) @ X0))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl24110])).
% 83.64/12.58 thf(zip_derived_cl25135, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ (cons @ sk6 @ sk9))
% 83.64/12.58 | ~ (memberP @ sk8 @ X0)
% 83.64/12.58 | (leq @ sk5 @ X0))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4734, zip_derived_cl24111])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl25139, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ (cons @ sk6 @ sk9))
% 83.64/12.58 | ~ (memberP @ sk8 @ X0)
% 83.64/12.58 | (leq @ sk5 @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl25135, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl34426, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ sk9) | ~ (memberP @ sk8 @ X0) | (leq @ sk5 @ X0))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4710, zip_derived_cl25139])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl34427, plain,
% 83.64/12.58 (![X0 : $i]: (~ (memberP @ sk8 @ X0) | (leq @ sk5 @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl34426, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl34517, plain,
% 83.64/12.58 ((((nil) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | (leq @ sk5 @ (hd @ sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl34430, zip_derived_cl34427])).
% 83.64/12.58 thf(zip_derived_cl38788, plain,
% 83.64/12.58 ((((sk6) = (hd @ sk8)) | ((nil) = (sk8)) | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('clc', [status(thm)],
% 83.64/12.58 [zip_derived_cl38320, zip_derived_cl34517])).
% 83.64/12.58 thf(zip_derived_cl34517, plain,
% 83.64/12.58 ((((nil) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | (leq @ sk5 @ (hd @ sk8)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl34430, zip_derived_cl34427])).
% 83.64/12.58 thf(zip_derived_cl38799, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | (leq @ sk5 @ sk6))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl38788, zip_derived_cl34517])).
% 83.64/12.58 thf(zip_derived_cl38819, plain,
% 83.64/12.58 (( (leq @ sk5 @ sk6) | ((nil) = (sk8)) | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl38799])).
% 83.64/12.58 thf(co1_18, conjecture,
% 83.64/12.58 (~( ( ~( leq @ sk5 @ sk6 ) ) | ( ~( leq @ sk10 @ sk6 ) ) |
% 83.64/12.58 ( ~( leq @ sk5 @ sk10 ) ) ))).
% 83.64/12.58 thf(zf_stmt_11, negated_conjecture,
% 83.64/12.58 (( ~( leq @ sk5 @ sk6 ) ) | ( ~( leq @ sk10 @ sk6 ) ) |
% 83.64/12.58 ( ~( leq @ sk5 @ sk10 ) )),
% 83.64/12.58 inference('cnf.neg', [status(esa)], [co1_18])).
% 83.64/12.58 thf(zip_derived_cl202, plain,
% 83.64/12.58 ((~ (leq @ sk5 @ sk6) | ~ (leq @ sk10 @ sk6) | ~ (leq @ sk5 @ sk10))),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_11])).
% 83.64/12.58 thf(zip_derived_cl40727, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | ~ (leq @ sk10 @ sk6)
% 83.64/12.58 | ~ (leq @ sk5 @ sk10))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl38819, zip_derived_cl202])).
% 83.64/12.58 thf(zip_derived_cl38819, plain,
% 83.64/12.58 (( (leq @ sk5 @ sk6) | ((nil) = (sk8)) | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl38799])).
% 83.64/12.58 thf(zip_derived_cl201, plain,
% 83.64/12.58 ((~ (leq @ sk5 @ sk6) | (memberP @ sk8 @ sk10))),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 83.64/12.58 thf(zip_derived_cl40726, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | (memberP @ sk8 @ sk10))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl38819, zip_derived_cl201])).
% 83.64/12.58 thf(zip_derived_cl38278, plain,
% 83.64/12.58 (![X0 : $i]: (~ (memberP @ sk8 @ X0) | (leq @ X0 @ sk6))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl38273, zip_derived_cl196, zip_derived_cl9235,
% 83.64/12.58 zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl40981, plain,
% 83.64/12.58 ((((nil) = (sk8)) | ((nil) = (cons @ sk5 @ sk8)) | (leq @ sk10 @ sk6))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl40726, zip_derived_cl38278])).
% 83.64/12.58 thf(zip_derived_cl44812, plain,
% 83.64/12.58 ((~ (leq @ sk5 @ sk10) | ((nil) = (sk8)) | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('clc', [status(thm)],
% 83.64/12.58 [zip_derived_cl40727, zip_derived_cl40981])).
% 83.64/12.58 thf(zip_derived_cl40726, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (sk8))
% 83.64/12.58 | (memberP @ sk8 @ sk10))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl38819, zip_derived_cl201])).
% 83.64/12.58 thf(zip_derived_cl34427, plain,
% 83.64/12.58 (![X0 : $i]: (~ (memberP @ sk8 @ X0) | (leq @ sk5 @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl34426, zip_derived_cl197])).
% 83.64/12.58 thf(zip_derived_cl40980, plain,
% 83.64/12.58 ((((nil) = (sk8)) | ((nil) = (cons @ sk5 @ sk8)) | (leq @ sk5 @ sk10))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl40726, zip_derived_cl34427])).
% 83.64/12.58 thf(zip_derived_cl44813, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8)) | ((nil) = (sk8)))),
% 83.64/12.58 inference('clc', [status(thm)],
% 83.64/12.58 [zip_derived_cl44812, zip_derived_cl40980])).
% 83.64/12.58 thf(clause98, axiom,
% 83.64/12.58 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 83.64/12.58 ( ~( ssList @ V ) ))).
% 83.64/12.58 thf(zip_derived_cl97, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause98])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4713, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]: (((cons @ X0 @ X1) != (nil)) | ~ (ssList @ X1))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl44817, plain,
% 83.64/12.58 ((((nil) = (sk8)) | ((nil) != (nil)) | ~ (ssList @ sk8))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl44813, zip_derived_cl4713])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl44989, plain, ((((nil) = (sk8)) | ((nil) != (nil)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl44817, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl44990, plain, (((nil) = (sk8))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl44989])).
% 83.64/12.58 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 83.64/12.58 thf(zip_derived_cl70, plain,
% 83.64/12.58 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause71])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4709, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl45066, plain, (~ (leq @ sk5 @ sk6)),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl201, zip_derived_cl44990, zip_derived_cl4709])).
% 83.64/12.58 thf(zip_derived_cl4711, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl15572, plain,
% 83.64/12.58 ((((cons @ sk5 @ (tl @ (cons @ sk5 @ sk8))) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15571, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl4763, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1) | (memberP @ (cons @ X0 @ X1) @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl1771, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl15578, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ (tl @ (cons @ sk5 @ sk8)))
% 83.64/12.58 | (memberP @ (cons @ sk5 @ sk8) @ sk5))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl15572, zip_derived_cl4763])).
% 83.64/12.58 thf(zip_derived_cl15784, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ((nil) = (cons @ sk5 @ sk8))
% 83.64/12.58 | ~ (ssList @ sk8)
% 83.64/12.58 | (memberP @ (cons @ sk5 @ sk8) @ sk5))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4711, zip_derived_cl15578])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl15786, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ sk8)) | (memberP @ (cons @ sk5 @ sk8) @ sk5))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15784, zip_derived_cl196, zip_derived_cl196])).
% 83.64/12.58 thf(zip_derived_cl44990, plain, (((nil) = (sk8))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl44989])).
% 83.64/12.58 thf(zip_derived_cl44990, plain, (((nil) = (sk8))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl44989])).
% 83.64/12.58 thf(zip_derived_cl45760, plain,
% 83.64/12.58 ((((nil) = (cons @ sk5 @ nil)) | (memberP @ (cons @ sk5 @ nil) @ sk5))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl15786, zip_derived_cl44990, zip_derived_cl44990])).
% 83.64/12.58 thf(clause116, axiom,
% 83.64/12.58 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 83.64/12.58 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 83.64/12.58 thf(zip_derived_cl115, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (((cons @ X1 @ nil) != (X0))
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | (singletonP @ X0))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause116])).
% 83.64/12.58 thf(clause11, axiom, (~( singletonP @ nil ))).
% 83.64/12.58 thf(zip_derived_cl10, plain, (~ (singletonP @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause11])).
% 83.64/12.58 thf(zip_derived_cl1367, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ nil) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 83.64/12.58 inference('dp-resolution', [status(thm)],
% 83.64/12.58 [zip_derived_cl115, zip_derived_cl10])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl1396, plain,
% 83.64/12.58 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl1367, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl4756, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl1396, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl45761, plain, ( (memberP @ (cons @ sk5 @ nil) @ sk5)),
% 83.64/12.58 inference('simplify_reflect-', [status(thm)],
% 83.64/12.58 [zip_derived_cl45760, zip_derived_cl4756])).
% 83.64/12.58 thf(zip_derived_cl4735, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | (memberP @ (app @ X2 @ X0) @ X1))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl156, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssItem @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause157])).
% 83.64/12.58 thf(zip_derived_cl2225, plain,
% 83.64/12.58 (((app @
% 83.64/12.58 (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 83.64/12.58 (cons @ sk6 @ nil)) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2224, zip_derived_cl7, zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl2483, plain,
% 83.64/12.58 ((~ (ssList @ sk8)
% 83.64/12.58 | ~ (ssList @ nil)
% 83.64/12.58 | ~ (ssItem @ sk5)
% 83.64/12.58 | ((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @
% 83.64/12.58 (cons @ sk6 @ nil)) @
% 83.64/12.58 sk9) = (sk1)))),
% 83.64/12.58 inference('s_sup+', [status(thm)],
% 83.64/12.58 [zip_derived_cl156, zip_derived_cl2225])).
% 83.64/12.58 thf(zip_derived_cl196, plain, ( (ssList @ sk8)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl193, plain, ( (ssItem @ sk5)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_4])).
% 83.64/12.58 thf(zip_derived_cl2510, plain,
% 83.64/12.58 (((app @
% 83.64/12.58 (app @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @
% 83.64/12.58 (cons @ sk6 @ nil)) @
% 83.64/12.58 sk9) = (sk1))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl2483, zip_derived_cl196, zip_derived_cl7,
% 83.64/12.58 zip_derived_cl193])).
% 83.64/12.58 thf(zip_derived_cl3415, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (memberP @ X0 @ X1)
% 83.64/12.58 | (leq @ X1 @ X2)
% 83.64/12.58 | ~ (ssItem @ X1)
% 83.64/12.58 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X3) != (sk1))
% 83.64/12.58 | ~ (ssList @ X3)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssItem @ X2))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 83.64/12.58 thf(zip_derived_cl3424, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (memberP @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @ X0)
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ((sk1) != (sk1))
% 83.64/12.58 | ~ (ssList @ sk9)
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))))
% 83.64/12.58 | ~ (ssItem @ sk6))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl2510, zip_derived_cl3415])).
% 83.64/12.58 thf(zip_derived_cl197, plain, ( (ssList @ sk9)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_6])).
% 83.64/12.58 thf(zip_derived_cl194, plain, ( (ssItem @ sk6)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 83.64/12.58 thf(zip_derived_cl3443, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (memberP @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @ X0)
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | ((sk1) != (sk1))
% 83.64/12.58 | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8)))))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3424, zip_derived_cl197, zip_derived_cl194])).
% 83.64/12.58 thf(zip_derived_cl3444, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))))
% 83.64/12.58 | ~ (ssItem @ X0)
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @ X0))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl3443])).
% 83.64/12.58 thf(zip_derived_cl4644, plain, (![X1 : $i]: (ssItem @ X1)),
% 83.64/12.58 inference('s_sup+', [status(thm)], [zip_derived_cl4455, zip_derived_cl12])).
% 83.64/12.58 thf(zip_derived_cl8678, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))))
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl3444, zip_derived_cl4644])).
% 83.64/12.58 thf(zip_derived_cl8679, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ sk7)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ (app @ nil @ sk8)))
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @ X0))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl8678])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl8683, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ (cons @ sk5 @ (app @ nil @ sk8)))
% 83.64/12.58 | (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @ X0))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl8679, zip_derived_cl195])).
% 83.64/12.58 thf(zip_derived_cl44990, plain, (((nil) = (sk8))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl44989])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 83.64/12.58 thf(zip_derived_cl72, plain,
% 83.64/12.58 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause73])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 83.64/12.58 thf(zip_derived_cl73, plain,
% 83.64/12.58 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause74])).
% 83.64/12.58 thf(zip_derived_cl73, plain,
% 83.64/12.58 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause74])).
% 83.64/12.58 thf(zip_derived_cl148, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause149])).
% 83.64/12.58 thf(zip_derived_cl149, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((X2) = (X1)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause150])).
% 83.64/12.58 thf(zip_derived_cl2140, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X3) != (app @ X2 @ (app @ X1 @ X0)))
% 83.64/12.58 | ~ (ssList @ X3)
% 83.64/12.58 | ~ (ssList @ (app @ X2 @ X1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((X3) = (X0)))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl149])).
% 83.64/12.58 thf(zip_derived_cl2199, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (((X3) = (X0))
% 83.64/12.58 | ~ (ssList @ (app @ X2 @ X1))
% 83.64/12.58 | ~ (ssList @ X3)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X3) != (app @ X2 @ (app @ X1 @ X0)))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X2))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl2140])).
% 83.64/12.58 thf(zip_derived_cl84, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 83.64/12.58 inference('cnf', [status(esa)], [clause85])).
% 83.64/12.58 thf(zip_derived_cl7000, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 83.64/12.58 (~ (ssList @ X2)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((app @ (app @ X2 @ X1) @ X3) != (app @ X2 @ (app @ X1 @ X0)))
% 83.64/12.58 | ~ (ssList @ X3)
% 83.64/12.58 | ((X3) = (X0)))),
% 83.64/12.58 inference('clc', [status(thm)], [zip_derived_cl2199, zip_derived_cl84])).
% 83.64/12.58 thf(zip_derived_cl7059, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ nil)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((app @ (app @ X1 @ nil) @ X2) != (app @ X1 @ X0))
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((X2) = (X0)))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl7000])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl7133, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((app @ (app @ X1 @ nil) @ X2) != (app @ X1 @ X0))
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((X2) = (X0)))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl7059, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl7134, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i, X2 : $i]:
% 83.64/12.58 (((X2) = (X0))
% 83.64/12.58 | ~ (ssList @ X2)
% 83.64/12.58 | ((app @ (app @ X1 @ nil) @ X2) != (app @ X1 @ X0))
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ~ (ssList @ X0))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl7133])).
% 83.64/12.58 thf(zip_derived_cl7236, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ((X1) = (X0))
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((app @ (app @ nil @ nil) @ X1) != (X0))
% 83.64/12.58 | ~ (ssList @ nil)
% 83.64/12.58 | ~ (ssList @ X0))),
% 83.64/12.58 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl7134])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl7269, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ((X1) = (X0))
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((app @ (app @ nil @ nil) @ X1) != (X0))
% 83.64/12.58 | ~ (ssList @ X0))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl7236, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl7270, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (((app @ (app @ nil @ nil) @ X1) != (X0))
% 83.64/12.58 | ~ (ssList @ X1)
% 83.64/12.58 | ((X1) = (X0))
% 83.64/12.58 | ~ (ssList @ X0))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl7269])).
% 83.64/12.58 thf(zip_derived_cl11721, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ nil)
% 83.64/12.58 | ~ (ssList @ nil)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((app @ nil @ (app @ nil @ X0)) != (X1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((X0) = (X1))
% 83.64/12.58 | ~ (ssList @ X1))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl148, zip_derived_cl7270])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl11729, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X0)
% 83.64/12.58 | ((app @ nil @ (app @ nil @ X0)) != (X1))
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((X0) = (X1))
% 83.64/12.58 | ~ (ssList @ X1))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl11721, zip_derived_cl7, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl11730, plain,
% 83.64/12.58 (![X0 : $i, X1 : $i]:
% 83.64/12.58 (~ (ssList @ X1)
% 83.64/12.58 | ((X0) = (X1))
% 83.64/12.58 | ((app @ nil @ (app @ nil @ X0)) != (X1))
% 83.64/12.58 | ~ (ssList @ X0))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl11729])).
% 83.64/12.58 thf(zip_derived_cl11769, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ nil)
% 83.64/12.58 | ~ (ssList @ X0)
% 83.64/12.58 | ((nil) = (X0))
% 83.64/12.58 | ((app @ nil @ nil) != (X0))
% 83.64/12.58 | ~ (ssList @ nil))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl72, zip_derived_cl11730])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl11777, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ X0) | ((nil) = (X0)) | ((app @ nil @ nil) != (X0)))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl11769, zip_derived_cl7, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl11998, plain,
% 83.64/12.58 ((((nil) = (app @ nil @ nil)) | ~ (ssList @ (app @ nil @ nil)))),
% 83.64/12.58 inference('eq_res', [status(thm)], [zip_derived_cl11777])).
% 83.64/12.58 thf(zip_derived_cl12003, plain,
% 83.64/12.58 ((~ (ssList @ nil) | ~ (ssList @ nil) | ((nil) = (app @ nil @ nil)))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl84, zip_derived_cl11998])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 83.64/12.58 inference('cnf', [status(esa)], [clause8])).
% 83.64/12.58 thf(zip_derived_cl12008, plain, (((nil) = (app @ nil @ nil))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl12003, zip_derived_cl7, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl44990, plain, (((nil) = (sk8))),
% 83.64/12.58 inference('simplify', [status(thm)], [zip_derived_cl44989])).
% 83.64/12.58 thf(zip_derived_cl12008, plain, (((nil) = (app @ nil @ nil))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl12003, zip_derived_cl7, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl45598, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 ( (leq @ X0 @ sk6)
% 83.64/12.58 | ~ (memberP @ (app @ sk7 @ (cons @ sk5 @ nil)) @ X0))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl8683, zip_derived_cl44990, zip_derived_cl12008,
% 83.64/12.58 zip_derived_cl9235, zip_derived_cl44990, zip_derived_cl12008])).
% 83.64/12.58 thf(zip_derived_cl46541, plain,
% 83.64/12.58 (![X0 : $i]:
% 83.64/12.58 (~ (ssList @ sk7)
% 83.64/12.58 | ~ (ssList @ (cons @ sk5 @ nil))
% 83.64/12.58 | ~ (memberP @ (cons @ sk5 @ nil) @ X0)
% 83.64/12.58 | (leq @ X0 @ sk6))),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl4735, zip_derived_cl45598])).
% 83.64/12.58 thf(zip_derived_cl195, plain, ( (ssList @ sk7)),
% 83.64/12.58 inference('cnf', [status(esa)], [zf_stmt_2])).
% 83.64/12.58 thf(zip_derived_cl9235, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 83.64/12.58 inference('demod', [status(thm)], [zip_derived_cl9234, zip_derived_cl7])).
% 83.64/12.58 thf(zip_derived_cl46545, plain,
% 83.64/12.58 (![X0 : $i]: (~ (memberP @ (cons @ sk5 @ nil) @ X0) | (leq @ X0 @ sk6))),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl46541, zip_derived_cl195, zip_derived_cl9235])).
% 83.64/12.58 thf(zip_derived_cl46871, plain, ( (leq @ sk5 @ sk6)),
% 83.64/12.58 inference('s_sup-', [status(thm)],
% 83.64/12.58 [zip_derived_cl45761, zip_derived_cl46545])).
% 83.64/12.58 thf(zip_derived_cl46876, plain, ($false),
% 83.64/12.58 inference('demod', [status(thm)],
% 83.64/12.58 [zip_derived_cl45066, zip_derived_cl46871])).
% 83.64/12.58
% 83.64/12.58 % SZS output end Refutation
% 83.64/12.58
% 83.64/12.58
% 83.64/12.58 % Terminating...
% 83.64/12.58 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 84.34/12.71 % Runner terminated.
% 84.34/12.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------