%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC284-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IGQYeSF95i true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:59:14 PM UTC 2025
% Result : Unsatisfiable 7.55s 1.72s
% Output : Refutation 7.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC284-1 : TPTP v9.2.0. Released v2.4.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IGQYeSF95i true
% 0.13/0.35 % Computer : n018.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 : Wed Oct 1 17:14:53 EDT 2025
% 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.55/1.72 % Solved by fo/fo13.sh.
% 7.55/1.72 % done 1329 iterations in 0.920s
% 7.55/1.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.55/1.72 % SZS output start Refutation
% 7.55/1.72 thf(nil_type, type, nil: $i).
% 7.55/1.72 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 7.55/1.72 thf(cons_type, type, cons: $i > $i > $i).
% 7.55/1.72 thf(sk9_type, type, sk9: $i).
% 7.55/1.72 thf(sk2_type, type, sk2: $i).
% 7.55/1.72 thf(sk8_type, type, sk8: $i).
% 7.55/1.72 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 7.55/1.72 thf(sk6_type, type, sk6: $i).
% 7.55/1.72 thf(sk4_type, type, sk4: $i).
% 7.55/1.72 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 7.55/1.72 thf(tl_type, type, tl: $i > $i).
% 7.55/1.72 thf(memberP_type, type, memberP: $i > $i > $o).
% 7.55/1.72 thf(hd_type, type, hd: $i > $i).
% 7.55/1.72 thf(ssItem_type, type, ssItem: $i > $o).
% 7.55/1.72 thf(skaf44_type, type, skaf44: $i > $i).
% 7.55/1.72 thf(skaf82_type, type, skaf82: $i > $i).
% 7.55/1.72 thf(sk5_type, type, sk5: $i).
% 7.55/1.72 thf(sk3_type, type, sk3: $i).
% 7.55/1.72 thf(neq_type, type, neq: $i > $i > $o).
% 7.55/1.72 thf(app_type, type, app: $i > $i > $i).
% 7.55/1.72 thf(ssList_type, type, ssList: $i > $o).
% 7.55/1.72 thf(sk7_type, type, sk7: $i).
% 7.55/1.72 thf(sk1_type, type, sk1: $i).
% 7.55/1.72 thf(singletonP_type, type, singletonP: $i > $o).
% 7.55/1.72 thf(clause120, axiom,
% 7.55/1.72 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 7.55/1.72 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 7.55/1.72 thf(zip_derived_cl119, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause120])).
% 7.55/1.72 thf(clause86, axiom,
% 7.55/1.72 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 7.55/1.72 thf(zip_derived_cl85, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause86])).
% 7.55/1.72 thf(co1_10, conjecture,
% 7.55/1.72 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) != ( sk1 ))).
% 7.55/1.72 thf(zf_stmt_0, negated_conjecture,
% 7.55/1.72 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk1 )),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_10])).
% 7.55/1.72 thf(zip_derived_cl194, plain,
% 7.55/1.72 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.55/1.72 thf(clause149, axiom,
% 7.55/1.72 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 7.55/1.72 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 7.55/1.72 thf(zip_derived_cl148, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.55/1.72 (~ (ssList @ X0)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X2)
% 7.55/1.72 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause149])).
% 7.55/1.72 thf(zip_derived_cl1648, plain,
% 7.55/1.72 ((~ (ssList @ sk7)
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ nil))
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl148])).
% 7.55/1.72 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 7.55/1.72 thf(zf_stmt_1, negated_conjecture, (ssList @ sk7),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_9])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 7.55/1.72 thf(zf_stmt_2, negated_conjecture, (ssList @ sk6),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_8])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl1657, plain,
% 7.55/1.72 ((~ (ssList @ (cons @ sk5 @ nil))
% 7.55/1.72 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1648, zip_derived_cl193, zip_derived_cl192])).
% 7.55/1.72 thf(zip_derived_cl1725, plain,
% 7.55/1.72 ((~ (ssList @ nil)
% 7.55/1.72 | ~ (ssItem @ sk5)
% 7.55/1.72 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1657])).
% 7.55/1.72 thf(clause8, axiom, (ssList @ nil)).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 7.55/1.72 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk5),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_7])).
% 7.55/1.72 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.55/1.72 thf(zip_derived_cl1727, plain,
% 7.55/1.72 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1725, zip_derived_cl7, zip_derived_cl191])).
% 7.55/1.72 thf(zip_derived_cl1746, plain,
% 7.55/1.72 ((~ (ssList @ sk7)
% 7.55/1.72 | ~ (ssItem @ sk5)
% 7.55/1.72 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7))))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl119, zip_derived_cl1727])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.55/1.72 thf(zip_derived_cl1747, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1746, zip_derived_cl193, zip_derived_cl191])).
% 7.55/1.72 thf(clause175, axiom,
% 7.55/1.72 (( ( app @ U @ ( cons @ V @ W ) ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 7.55/1.72 ( ~( ssList @ U ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ X ) ) |
% 7.55/1.72 ( memberP @ X @ V ))).
% 7.55/1.72 thf(zip_derived_cl174, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.55/1.72 (((app @ X1 @ (cons @ X2 @ X3)) != (X0))
% 7.55/1.72 | ~ (ssList @ X3)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssItem @ X2)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | (memberP @ X0 @ X2))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause175])).
% 7.55/1.72 thf(zip_derived_cl3059, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((sk1) != (X0))
% 7.55/1.72 | ~ (ssList @ sk7)
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ~ (ssItem @ sk5)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | (memberP @ X0 @ sk5))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1747, zip_derived_cl174])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.55/1.72 thf(zip_derived_cl3081, plain,
% 7.55/1.72 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl3059, zip_derived_cl193, zip_derived_cl192,
% 7.55/1.72 zip_derived_cl191])).
% 7.55/1.72 thf(zip_derived_cl3146, plain, (( (memberP @ sk1 @ sk5) | ~ (ssList @ sk1))),
% 7.55/1.72 inference('eq_res', [status(thm)], [zip_derived_cl3081])).
% 7.55/1.72 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 7.55/1.72 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_1])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl3147, plain, ( (memberP @ sk1 @ sk5)),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl3146, zip_derived_cl185])).
% 7.55/1.72 thf(co1_16, conjecture,
% 7.55/1.72 (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 7.55/1.72 thf(zf_stmt_5, negated_conjecture,
% 7.55/1.72 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_16])).
% 7.55/1.72 thf(zip_derived_cl200, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_5])).
% 7.55/1.72 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 7.55/1.72 thf(zf_stmt_6, negated_conjecture, (( sk2 ) = ( sk4 )),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_5])).
% 7.55/1.72 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.55/1.72 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 7.55/1.72 thf(zf_stmt_7, negated_conjecture, (( sk1 ) = ( sk3 )),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_6])).
% 7.55/1.72 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.55/1.72 thf(zip_derived_cl204, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 7.55/1.72 thf(clause75, axiom,
% 7.55/1.72 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl74, plain,
% 7.55/1.72 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause75])).
% 7.55/1.72 thf(clause100, axiom,
% 7.55/1.72 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 7.55/1.72 ( ( V ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl99, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause100])).
% 7.55/1.72 thf(co1_18, conjecture,
% 7.55/1.72 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) ) ))).
% 7.55/1.72 thf(zf_stmt_8, negated_conjecture,
% 7.55/1.72 (( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) )),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_18])).
% 7.55/1.72 thf(zip_derived_cl202, plain,
% 7.55/1.72 ((~ (neq @ sk4 @ nil) | ((cons @ sk9 @ nil) = (sk3)))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_8])).
% 7.55/1.72 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.55/1.72 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_7])).
% 7.55/1.72 thf(zip_derived_cl207, plain,
% 7.55/1.72 ((~ (neq @ sk2 @ nil) | ((cons @ sk9 @ nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl202, zip_derived_cl189, zip_derived_cl190])).
% 7.55/1.72 thf(zip_derived_cl294, plain,
% 7.55/1.72 ((((sk2) = (nil))
% 7.55/1.72 | ~ (ssList @ sk2)
% 7.55/1.72 | ~ (ssList @ nil)
% 7.55/1.72 | ((cons @ sk9 @ nil) = (sk1)))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl207])).
% 7.55/1.72 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 7.55/1.72 thf(zf_stmt_9, negated_conjecture, (ssList @ sk2),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_2])).
% 7.55/1.72 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_9])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl299, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((cons @ sk9 @ nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl294, zip_derived_cl186, zip_derived_cl7])).
% 7.55/1.72 thf(clause96, axiom,
% 7.55/1.72 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 7.55/1.72 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 7.55/1.72 thf(zip_derived_cl95, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause96])).
% 7.55/1.72 thf(zip_derived_cl337, plain,
% 7.55/1.72 ((((sk2) = (nil))
% 7.55/1.72 | ~ (ssItem @ sk9)
% 7.55/1.72 | ~ (ssList @ nil)
% 7.55/1.72 | ((tl @ sk1) = (nil)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl95])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl339, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ~ (ssItem @ sk9) | ((tl @ sk1) = (nil)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl337, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl99, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause100])).
% 7.55/1.72 thf(co1_17, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk9 ) ))).
% 7.55/1.72 thf(zf_stmt_10, negated_conjecture,
% 7.55/1.72 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk9 )),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_17])).
% 7.55/1.72 thf(zip_derived_cl201, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk9))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_10])).
% 7.55/1.72 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.55/1.72 thf(zip_derived_cl208, plain, ((~ (neq @ sk2 @ nil) | (ssItem @ sk9))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl189])).
% 7.55/1.72 thf(zip_derived_cl295, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ~ (ssList @ sk2) | ~ (ssList @ nil) | (ssItem @ sk9))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl208])).
% 7.55/1.72 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_9])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl300, plain, ((((sk2) = (nil)) | (ssItem @ sk9))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl295, zip_derived_cl186, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl340, plain, ((((tl @ sk1) = (nil)) | ((sk2) = (nil)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl339, zip_derived_cl300])).
% 7.55/1.72 thf(zip_derived_cl85, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause86])).
% 7.55/1.72 thf(zip_derived_cl1747, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1746, zip_derived_cl193, zip_derived_cl191])).
% 7.55/1.72 thf(clause144, axiom,
% 7.55/1.72 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 7.55/1.72 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 7.55/1.72 thf(zip_derived_cl143, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.55/1.72 (((app @ X1 @ X2) != (X0))
% 7.55/1.72 | ~ (ssList @ X2)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | (frontsegP @ X0 @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause144])).
% 7.55/1.72 thf(zip_derived_cl1779, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((sk1) != (X0))
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ sk7))
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | (frontsegP @ X0 @ sk6))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1747, zip_derived_cl143])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl1796, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((sk1) != (X0))
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ sk7))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | (frontsegP @ X0 @ sk6))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl1779, zip_derived_cl192])).
% 7.55/1.72 thf(zip_derived_cl1865, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ sk7)
% 7.55/1.72 | ~ (ssItem @ sk5)
% 7.55/1.72 | ((sk1) != (X0))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | (frontsegP @ X0 @ sk6))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1796])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.55/1.72 thf(zip_derived_cl1866, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((sk1) != (X0)) | ~ (ssList @ X0) | (frontsegP @ X0 @ sk6))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1865, zip_derived_cl193, zip_derived_cl191])).
% 7.55/1.72 thf(zip_derived_cl1867, plain,
% 7.55/1.72 (( (frontsegP @ sk1 @ sk6) | ~ (ssList @ sk1))),
% 7.55/1.72 inference('eq_res', [status(thm)], [zip_derived_cl1866])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl1868, plain, ( (frontsegP @ sk1 @ sk6)),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl1867, zip_derived_cl185])).
% 7.55/1.72 thf(clause132, axiom,
% 7.55/1.72 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 7.55/1.72 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl131, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (frontsegP @ X0 @ X1)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause132])).
% 7.55/1.72 thf(zip_derived_cl1870, plain,
% 7.55/1.72 ((~ (ssList @ sk6)
% 7.55/1.72 | ~ (ssList @ sk1)
% 7.55/1.72 | ((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1868, zip_derived_cl131])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl1874, plain,
% 7.55/1.72 (((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1870, zip_derived_cl192, zip_derived_cl185])).
% 7.55/1.72 thf(clause133, axiom,
% 7.55/1.72 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 7.55/1.72 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 7.55/1.72 thf(zip_derived_cl132, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ((nil) = (X1))
% 7.55/1.72 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause133])).
% 7.55/1.72 thf(zip_derived_cl1961, plain,
% 7.55/1.72 ((~ (ssList @ (skaf45 @ sk1 @ sk6))
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ((nil) = (sk6))
% 7.55/1.72 | ((tl @ sk1) = (app @ (tl @ sk6) @ (skaf45 @ sk1 @ sk6))))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl1874, zip_derived_cl132])).
% 7.55/1.72 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 7.55/1.72 thf(zip_derived_cl50, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause51])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl1979, plain,
% 7.55/1.72 ((((nil) = (sk6))
% 7.55/1.72 | ((tl @ sk1) = (app @ (tl @ sk6) @ (skaf45 @ sk1 @ sk6))))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1961, zip_derived_cl50, zip_derived_cl192])).
% 7.55/1.72 thf(zip_derived_cl1874, plain,
% 7.55/1.72 (((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1870, zip_derived_cl192, zip_derived_cl185])).
% 7.55/1.72 thf(zip_derived_cl85, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause86])).
% 7.55/1.72 thf(zip_derived_cl85, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause86])).
% 7.55/1.72 thf(clause85, axiom,
% 7.55/1.72 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 7.55/1.72 thf(zip_derived_cl84, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause85])).
% 7.55/1.72 thf(clause72, axiom,
% 7.55/1.72 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 7.55/1.72 thf(zip_derived_cl71, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause72])).
% 7.55/1.72 thf(zip_derived_cl85, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause86])).
% 7.55/1.72 thf(zip_derived_cl84, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause85])).
% 7.55/1.72 thf(zip_derived_cl1747, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1746, zip_derived_cl193, zip_derived_cl191])).
% 7.55/1.72 thf(clause179, axiom,
% 7.55/1.72 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 7.55/1.72 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 7.55/1.72 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 7.55/1.72 thf(zip_derived_cl178, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.55/1.72 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 7.55/1.72 | ~ (ssList @ X4)
% 7.55/1.72 | ~ (ssList @ X3)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssItem @ X2)
% 7.55/1.72 | ~ (duplicatefreeP @ X0)
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause179])).
% 7.55/1.72 thf(zip_derived_cl3398, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ sk7)
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ~ (ssItem @ sk5)
% 7.55/1.72 | ~ (duplicatefreeP @ X0)
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1747, zip_derived_cl178])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.55/1.72 thf(zip_derived_cl3430, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (duplicatefreeP @ X0)
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl3398, zip_derived_cl193, zip_derived_cl192,
% 7.55/1.72 zip_derived_cl191])).
% 7.55/1.72 thf(zip_derived_cl3490, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 7.55/1.72 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('eq_res', [status(thm)], [zip_derived_cl3430])).
% 7.55/1.72 thf(zip_derived_cl3812, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ sk1)
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ X0))
% 7.55/1.72 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3490])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl3814, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ (cons @ sk5 @ X0))
% 7.55/1.72 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl3812, zip_derived_cl185])).
% 7.55/1.72 thf(zip_derived_cl3815, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ X0)
% 7.55/1.72 | ~ (ssItem @ sk5)
% 7.55/1.72 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3814])).
% 7.55/1.72 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.55/1.72 thf(zip_derived_cl3816, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ X0)
% 7.55/1.72 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl3815, zip_derived_cl191])).
% 7.55/1.72 thf(zip_derived_cl3817, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl3816])).
% 7.55/1.72 thf(zip_derived_cl3818, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 ( (ssItem @ X1)
% 7.55/1.72 | ~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl3817])).
% 7.55/1.72 thf(zip_derived_cl3820, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ sk1)
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ X0))
% 7.55/1.72 | (ssItem @ X1)
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3818])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl3822, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ (cons @ sk5 @ X0)) | (ssItem @ X1) | ~ (ssList @ X0))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl3820, zip_derived_cl185])).
% 7.55/1.72 thf(zip_derived_cl3908, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | ~ (ssItem @ sk5) | (ssItem @ X1) | ~ (ssList @ X0))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3822])).
% 7.55/1.72 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.55/1.72 thf(zip_derived_cl3909, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | (ssItem @ X1) | ~ (ssList @ X0))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl3908, zip_derived_cl191])).
% 7.55/1.72 thf(zip_derived_cl3910, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: ( (ssItem @ X1) | ~ (ssList @ X0))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl3909])).
% 7.55/1.72 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 7.55/1.72 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause13])).
% 7.55/1.72 thf(zip_derived_cl3911, plain, (![X1 : $i]: (ssItem @ X1)),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl3910, zip_derived_cl12])).
% 7.55/1.72 thf(zip_derived_cl3986, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl1747, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1746, zip_derived_cl193, zip_derived_cl191])).
% 7.55/1.72 thf(clause150, axiom,
% 7.55/1.72 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 7.55/1.72 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 7.55/1.72 thf(zip_derived_cl149, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.55/1.72 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 7.55/1.72 | ~ (ssList @ X2)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ((X2) = (X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause150])).
% 7.55/1.72 thf(zip_derived_cl1771, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((app @ sk6 @ X0) != (sk1))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ sk7))
% 7.55/1.72 | ((X0) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1747, zip_derived_cl149])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl1788, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((app @ sk6 @ X0) != (sk1))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ sk7))
% 7.55/1.72 | ((X0) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl1771, zip_derived_cl192])).
% 7.55/1.72 thf(zip_derived_cl5037, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ sk7)
% 7.55/1.72 | ((app @ sk6 @ X0) != (sk1))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((X0) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl3986, zip_derived_cl1788])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl5038, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((app @ sk6 @ X0) != (sk1))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((X0) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl5037, zip_derived_cl193])).
% 7.55/1.72 thf(zip_derived_cl5040, plain,
% 7.55/1.72 ((((sk1) != (sk1))
% 7.55/1.72 | ~ (ssList @ (skaf45 @ sk1 @ sk6))
% 7.55/1.72 | ((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1874, zip_derived_cl5038])).
% 7.55/1.72 thf(zip_derived_cl50, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause51])).
% 7.55/1.72 thf(zip_derived_cl5045, plain,
% 7.55/1.72 ((((sk1) != (sk1)) | ((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl5040, zip_derived_cl50])).
% 7.55/1.72 thf(zip_derived_cl5046, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 7.55/1.72 thf(zip_derived_cl5178, plain,
% 7.55/1.72 ((((nil) = (sk6))
% 7.55/1.72 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1979, zip_derived_cl5046])).
% 7.55/1.72 thf(clause119, axiom,
% 7.55/1.72 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 7.55/1.72 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 7.55/1.72 thf(zip_derived_cl118, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (((app @ X0 @ X1) != (nil))
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((nil) = (X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause119])).
% 7.55/1.72 thf(zip_derived_cl5576, plain,
% 7.55/1.72 ((((nil) = (sk6))
% 7.55/1.72 | ((tl @ sk1) != (nil))
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ sk7))
% 7.55/1.72 | ~ (ssList @ (tl @ sk6))
% 7.55/1.72 | ((nil) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl5178, zip_derived_cl118])).
% 7.55/1.72 thf(zip_derived_cl5046, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 7.55/1.72 thf(zip_derived_cl50, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause51])).
% 7.55/1.72 thf(zip_derived_cl5185, plain, ( (ssList @ (cons @ sk5 @ sk7))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl5046, zip_derived_cl50])).
% 7.55/1.72 thf(zip_derived_cl5600, plain,
% 7.55/1.72 ((((nil) = (sk6))
% 7.55/1.72 | ((tl @ sk1) != (nil))
% 7.55/1.72 | ~ (ssList @ (tl @ sk6))
% 7.55/1.72 | ((nil) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl5576, zip_derived_cl5185])).
% 7.55/1.72 thf(zip_derived_cl6026, plain,
% 7.55/1.72 ((((sk2) = (nil))
% 7.55/1.72 | ((nil) = (sk6))
% 7.55/1.72 | ((nil) != (nil))
% 7.55/1.72 | ~ (ssList @ (tl @ sk6))
% 7.55/1.72 | ((nil) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl340, zip_derived_cl5600])).
% 7.55/1.72 thf(zip_derived_cl6028, plain,
% 7.55/1.72 ((((nil) = (cons @ sk5 @ sk7))
% 7.55/1.72 | ~ (ssList @ (tl @ sk6))
% 7.55/1.72 | ((nil) = (sk6))
% 7.55/1.72 | ((sk2) = (nil)))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl6026])).
% 7.55/1.72 thf(zip_derived_cl6072, plain,
% 7.55/1.72 ((((nil) = (sk6))
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ((nil) = (cons @ sk5 @ sk7))
% 7.55/1.72 | ((nil) = (sk6))
% 7.55/1.72 | ((sk2) = (nil)))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl6028])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl6073, plain,
% 7.55/1.72 ((((nil) = (sk6))
% 7.55/1.72 | ((nil) = (cons @ sk5 @ sk7))
% 7.55/1.72 | ((nil) = (sk6))
% 7.55/1.72 | ((sk2) = (nil)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl6072, zip_derived_cl192])).
% 7.55/1.72 thf(zip_derived_cl6074, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((nil) = (cons @ sk5 @ sk7)) | ((nil) = (sk6)))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl6073])).
% 7.55/1.72 thf(clause98, axiom,
% 7.55/1.72 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 7.55/1.72 ( ~( ssList @ V ) ))).
% 7.55/1.72 thf(zip_derived_cl97, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause98])).
% 7.55/1.72 thf(zip_derived_cl3911, plain, (![X1 : $i]: (ssItem @ X1)),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl3910, zip_derived_cl12])).
% 7.55/1.72 thf(zip_derived_cl3989, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (((cons @ X0 @ X1) != (nil)) | ~ (ssList @ X1))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl6078, plain,
% 7.55/1.72 ((((nil) = (sk6)) | ((sk2) = (nil)) | ((nil) != (nil)) | ~ (ssList @ sk7))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl6074, zip_derived_cl3989])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl6132, plain,
% 7.55/1.72 ((((nil) = (sk6)) | ((sk2) = (nil)) | ((nil) != (nil)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl6078, zip_derived_cl193])).
% 7.55/1.72 thf(zip_derived_cl6133, plain, ((((sk2) = (nil)) | ((nil) = (sk6)))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl6132])).
% 7.55/1.72 thf(zip_derived_cl5046, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 7.55/1.72 thf(zip_derived_cl6203, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((skaf45 @ sk1 @ nil) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl6133, zip_derived_cl5046])).
% 7.55/1.72 thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 7.55/1.72 thf(zip_derived_cl59, plain,
% 7.55/1.72 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause60])).
% 7.55/1.72 thf(zip_derived_cl1868, plain, ( (frontsegP @ sk1 @ sk6)),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl1867, zip_derived_cl185])).
% 7.55/1.72 thf(clause154, axiom,
% 7.55/1.72 (( ~( frontsegP @ U @ V ) ) | ( ~( frontsegP @ V @ W ) ) |
% 7.55/1.72 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 7.55/1.72 ( frontsegP @ U @ W ))).
% 7.55/1.72 thf(zip_derived_cl153, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.55/1.72 (~ (frontsegP @ X0 @ X1)
% 7.55/1.72 | ~ (frontsegP @ X1 @ X2)
% 7.55/1.72 | ~ (ssList @ X2)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | (frontsegP @ X0 @ X2))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause154])).
% 7.55/1.72 thf(zip_derived_cl1872, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (frontsegP @ sk6 @ X0)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ~ (ssList @ sk1)
% 7.55/1.72 | (frontsegP @ sk1 @ X0))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1868, zip_derived_cl153])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl1876, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (frontsegP @ sk6 @ X0) | ~ (ssList @ X0) | (frontsegP @ sk1 @ X0))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1872, zip_derived_cl192, zip_derived_cl185])).
% 7.55/1.72 thf(zip_derived_cl2045, plain,
% 7.55/1.72 ((~ (ssList @ sk6) | ~ (ssList @ nil) | (frontsegP @ sk1 @ nil))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl1876])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl2047, plain, ( (frontsegP @ sk1 @ nil)),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl2045, zip_derived_cl192, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl131, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (frontsegP @ X0 @ X1)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause132])).
% 7.55/1.72 thf(zip_derived_cl2049, plain,
% 7.55/1.72 ((~ (ssList @ nil)
% 7.55/1.72 | ~ (ssList @ sk1)
% 7.55/1.72 | ((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl2047, zip_derived_cl131])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl2053, plain,
% 7.55/1.72 (((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl2049, zip_derived_cl7, zip_derived_cl185])).
% 7.55/1.72 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl73, plain,
% 7.55/1.72 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause74])).
% 7.55/1.72 thf(zip_derived_cl2099, plain,
% 7.55/1.72 ((~ (ssList @ (skaf45 @ sk1 @ nil)) | ((sk1) = (skaf45 @ sk1 @ nil)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl2053, zip_derived_cl73])).
% 7.55/1.72 thf(zip_derived_cl50, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause51])).
% 7.55/1.72 thf(zip_derived_cl2122, plain, (((sk1) = (skaf45 @ sk1 @ nil))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl2099, zip_derived_cl50])).
% 7.55/1.72 thf(zip_derived_cl6207, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((sk1) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl6203, zip_derived_cl2122])).
% 7.55/1.72 thf(zip_derived_cl95, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause96])).
% 7.55/1.72 thf(zip_derived_cl3911, plain, (![X1 : $i]: (ssItem @ X1)),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl3910, zip_derived_cl12])).
% 7.55/1.72 thf(zip_derived_cl3987, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl6220, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ~ (ssList @ sk7) | ((tl @ sk1) = (sk7)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl6207, zip_derived_cl3987])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl6276, plain, ((((sk2) = (nil)) | ((tl @ sk1) = (sk7)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl6220, zip_derived_cl193])).
% 7.55/1.72 thf(zip_derived_cl299, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((cons @ sk9 @ nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl294, zip_derived_cl186, zip_derived_cl7])).
% 7.55/1.72 thf(clause101, axiom,
% 7.55/1.72 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 7.55/1.72 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl100, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (singletonP @ X0)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause101])).
% 7.55/1.72 thf(zip_derived_cl95, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause96])).
% 7.55/1.72 thf(zip_derived_cl336, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ X0)
% 7.55/1.72 | ~ (singletonP @ X0)
% 7.55/1.72 | ~ (ssItem @ (skaf44 @ X0))
% 7.55/1.72 | ~ (ssList @ nil)
% 7.55/1.72 | ((tl @ X0) = (nil)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl95])).
% 7.55/1.72 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 7.55/1.72 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause47])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl338, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | ~ (singletonP @ X0) | ((tl @ X0) = (nil)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl336, zip_derived_cl46, zip_derived_cl7])).
% 7.55/1.72 thf(clause116, axiom,
% 7.55/1.72 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 7.55/1.72 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 7.55/1.72 thf(zip_derived_cl115, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (((cons @ X1 @ nil) != (X0))
% 7.55/1.72 | ~ (ssItem @ X1)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | (singletonP @ X0))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause116])).
% 7.55/1.72 thf(zip_derived_cl363, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (((tl @ X0) = (nil))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((cons @ X1 @ nil) != (X0))
% 7.55/1.72 | ~ (ssItem @ X1)
% 7.55/1.72 | ~ (ssList @ X0))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl338, zip_derived_cl115])).
% 7.55/1.72 thf(zip_derived_cl364, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X1)
% 7.55/1.72 | ((cons @ X1 @ nil) != (X0))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((tl @ X0) = (nil)))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl363])).
% 7.55/1.72 thf(zip_derived_cl3911, plain, (![X1 : $i]: (ssItem @ X1)),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl3910, zip_derived_cl12])).
% 7.55/1.72 thf(zip_derived_cl4493, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (((cons @ X1 @ nil) != (X0)) | ~ (ssList @ X0) | ((tl @ X0) = (nil)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl364, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl4496, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((sk2) = (nil))
% 7.55/1.72 | ((sk1) != (X0))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((tl @ X0) = (nil)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl299, zip_derived_cl4493])).
% 7.55/1.72 thf(zip_derived_cl6676, plain,
% 7.55/1.72 ((((sk2) = (nil))
% 7.55/1.72 | ((sk2) = (nil))
% 7.55/1.72 | ((sk1) != (sk1))
% 7.55/1.72 | ~ (ssList @ sk1)
% 7.55/1.72 | ((sk7) = (nil)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl6276, zip_derived_cl4496])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl6696, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((sk2) = (nil)) | ((sk1) != (sk1)) | ((sk7) = (nil)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl6676, zip_derived_cl185])).
% 7.55/1.72 thf(zip_derived_cl6697, plain, ((((sk7) = (nil)) | ((sk2) = (nil)))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl6696])).
% 7.55/1.72 thf(co1_12, conjecture,
% 7.55/1.72 (~( ( memberP @ sk7 @ sk8 ) | ( memberP @ sk6 @ sk8 ) ))).
% 7.55/1.72 thf(zf_stmt_11, negated_conjecture,
% 7.55/1.72 (( memberP @ sk7 @ sk8 ) | ( memberP @ sk6 @ sk8 )),
% 7.55/1.72 inference('cnf.neg', [status(esa)], [co1_12])).
% 7.55/1.72 thf(zip_derived_cl196, plain,
% 7.55/1.72 (( (memberP @ sk7 @ sk8) | (memberP @ sk6 @ sk8))),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_11])).
% 7.55/1.72 thf(zip_derived_cl6708, plain,
% 7.55/1.72 ((((sk2) = (nil)) | (memberP @ nil @ sk8) | (memberP @ sk6 @ sk8))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl6697, zip_derived_cl196])).
% 7.55/1.72 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 7.55/1.72 thf(zip_derived_cl70, plain,
% 7.55/1.72 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause71])).
% 7.55/1.72 thf(zip_derived_cl3911, plain, (![X1 : $i]: (ssItem @ X1)),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl3910, zip_derived_cl12])).
% 7.55/1.72 thf(zip_derived_cl3985, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl6767, plain, ((((sk2) = (nil)) | (memberP @ sk6 @ sk8))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl6708, zip_derived_cl3985])).
% 7.55/1.72 thf(zip_derived_cl6207, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((sk1) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl6203, zip_derived_cl2122])).
% 7.55/1.72 thf(zip_derived_cl84, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause85])).
% 7.55/1.72 thf(zip_derived_cl84, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause85])).
% 7.55/1.72 thf(clause157, axiom,
% 7.55/1.72 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 7.55/1.72 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 7.55/1.72 thf(zip_derived_cl156, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.55/1.72 (~ (ssItem @ X0)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X2)
% 7.55/1.72 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause157])).
% 7.55/1.72 thf(zip_derived_cl1727, plain,
% 7.55/1.72 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1725, zip_derived_cl7, zip_derived_cl191])).
% 7.55/1.72 thf(zip_derived_cl1824, plain,
% 7.55/1.72 ((~ (ssList @ sk7)
% 7.55/1.72 | ~ (ssList @ nil)
% 7.55/1.72 | ~ (ssItem @ sk5)
% 7.55/1.72 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ (app @ nil @ sk7)))))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl156, zip_derived_cl1727])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.55/1.72 thf(zip_derived_cl1864, plain,
% 7.55/1.72 (((sk1) = (app @ sk6 @ (cons @ sk5 @ (app @ nil @ sk7))))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1824, zip_derived_cl193, zip_derived_cl7,
% 7.55/1.72 zip_derived_cl191])).
% 7.55/1.72 thf(zip_derived_cl5038, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((app @ sk6 @ X0) != (sk1))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((X0) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl5037, zip_derived_cl193])).
% 7.55/1.72 thf(zip_derived_cl5042, plain,
% 7.55/1.72 ((((sk1) != (sk1))
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ (app @ nil @ sk7)))
% 7.55/1.72 | ((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1864, zip_derived_cl5038])).
% 7.55/1.72 thf(zip_derived_cl5048, plain,
% 7.55/1.72 ((((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7))
% 7.55/1.72 | ~ (ssList @ (cons @ sk5 @ (app @ nil @ sk7))))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl5042])).
% 7.55/1.72 thf(zip_derived_cl3986, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl5169, plain,
% 7.55/1.72 ((((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7))
% 7.55/1.72 | ~ (ssList @ (app @ nil @ sk7)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl5048, zip_derived_cl3986])).
% 7.55/1.72 thf(zip_derived_cl5259, plain,
% 7.55/1.72 ((~ (ssList @ nil)
% 7.55/1.72 | ~ (ssList @ sk7)
% 7.55/1.72 | ((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7)))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5169])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl5262, plain,
% 7.55/1.72 (((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl5259, zip_derived_cl7, zip_derived_cl193])).
% 7.55/1.72 thf(clause97, axiom,
% 7.55/1.72 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 7.55/1.72 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl96, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause97])).
% 7.55/1.72 thf(zip_derived_cl3911, plain, (![X1 : $i]: (ssItem @ X1)),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl3910, zip_derived_cl12])).
% 7.55/1.72 thf(zip_derived_cl3988, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl5269, plain,
% 7.55/1.72 ((~ (ssList @ (app @ nil @ sk7)) | ((hd @ (cons @ sk5 @ sk7)) = (sk5)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl5262, zip_derived_cl3988])).
% 7.55/1.72 thf(zip_derived_cl5953, plain,
% 7.55/1.72 ((~ (ssList @ nil)
% 7.55/1.72 | ~ (ssList @ sk7)
% 7.55/1.72 | ((hd @ (cons @ sk5 @ sk7)) = (sk5)))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5269])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.55/1.72 thf(zip_derived_cl5955, plain, (((hd @ (cons @ sk5 @ sk7)) = (sk5))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl5953, zip_derived_cl7, zip_derived_cl193])).
% 7.55/1.72 thf(zip_derived_cl6270, plain, ((((sk2) = (nil)) | ((hd @ sk1) = (sk5)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl6207, zip_derived_cl5955])).
% 7.55/1.72 thf(zip_derived_cl299, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((cons @ sk9 @ nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl294, zip_derived_cl186, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl96, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause97])).
% 7.55/1.72 thf(zip_derived_cl369, plain,
% 7.55/1.72 ((((sk2) = (nil))
% 7.55/1.72 | ~ (ssItem @ sk9)
% 7.55/1.72 | ~ (ssList @ nil)
% 7.55/1.72 | ((hd @ sk1) = (sk9)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl96])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl371, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ~ (ssItem @ sk9) | ((hd @ sk1) = (sk9)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl369, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl300, plain, ((((sk2) = (nil)) | (ssItem @ sk9))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl295, zip_derived_cl186, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl372, plain, ((((hd @ sk1) = (sk9)) | ((sk2) = (nil)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl371, zip_derived_cl300])).
% 7.55/1.72 thf(zip_derived_cl340, plain, ((((tl @ sk1) = (nil)) | ((sk2) = (nil)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl339, zip_derived_cl300])).
% 7.55/1.72 thf(clause104, axiom,
% 7.55/1.72 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 7.55/1.72 ( ( nil ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl103, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (~ (ssList @ X0)
% 7.55/1.72 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 7.55/1.72 | ((nil) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause104])).
% 7.55/1.72 thf(zip_derived_cl403, plain,
% 7.55/1.72 ((((sk2) = (nil))
% 7.55/1.72 | ~ (ssList @ sk1)
% 7.55/1.72 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 7.55/1.72 | ((nil) = (sk1)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl340, zip_derived_cl103])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl406, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl185])).
% 7.55/1.72 thf(zip_derived_cl204, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 7.55/1.72 thf(zip_derived_cl408, plain,
% 7.55/1.72 ((((nil) = (sk1)) | ((cons @ (hd @ sk1) @ nil) = (sk1)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl406, zip_derived_cl204])).
% 7.55/1.72 thf(zip_derived_cl422, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((nil) = (sk1)) | ((cons @ sk9 @ nil) = (sk1)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl408])).
% 7.55/1.72 thf(zip_derived_cl204, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 7.55/1.72 thf(zip_derived_cl428, plain,
% 7.55/1.72 ((((cons @ sk9 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl422, zip_derived_cl204])).
% 7.55/1.72 thf(zip_derived_cl96, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause97])).
% 7.55/1.72 thf(zip_derived_cl431, plain,
% 7.55/1.72 ((((nil) = (sk1))
% 7.55/1.72 | ~ (ssItem @ sk9)
% 7.55/1.72 | ~ (ssList @ nil)
% 7.55/1.72 | ((hd @ sk1) = (sk9)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl96])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl444, plain,
% 7.55/1.72 ((((nil) = (sk1)) | ~ (ssItem @ sk9) | ((hd @ sk1) = (sk9)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl372, plain, ((((hd @ sk1) = (sk9)) | ((sk2) = (nil)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl371, zip_derived_cl300])).
% 7.55/1.72 thf(clause76, axiom,
% 7.55/1.72 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl75, plain,
% 7.55/1.72 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause76])).
% 7.55/1.72 thf(zip_derived_cl373, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ~ (ssList @ sk1) | (ssItem @ sk9) | ((nil) = (sk1)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl75])).
% 7.55/1.72 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.55/1.72 thf(zip_derived_cl374, plain,
% 7.55/1.72 ((((sk2) = (nil)) | (ssItem @ sk9) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl373, zip_derived_cl185])).
% 7.55/1.72 thf(zip_derived_cl204, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 7.55/1.72 thf(zip_derived_cl375, plain, ((((nil) = (sk1)) | (ssItem @ sk9))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl374, zip_derived_cl204])).
% 7.55/1.72 thf(zip_derived_cl484, plain, ((((hd @ sk1) = (sk9)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl444, zip_derived_cl375])).
% 7.55/1.72 thf(zip_derived_cl6454, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((sk5) = (sk9)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl6270, zip_derived_cl484])).
% 7.55/1.72 thf(zip_derived_cl204, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 7.55/1.72 thf(zip_derived_cl6572, plain, ((((nil) = (sk1)) | ((sk5) = (sk9)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl6454, zip_derived_cl204])).
% 7.55/1.72 thf(zip_derived_cl428, plain,
% 7.55/1.72 ((((cons @ sk9 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl422, zip_derived_cl204])).
% 7.55/1.72 thf(zip_derived_cl6577, plain,
% 7.55/1.72 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl6572, zip_derived_cl428])).
% 7.55/1.72 thf(zip_derived_cl6639, plain,
% 7.55/1.72 ((((cons @ sk5 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl6577])).
% 7.55/1.72 thf(zip_derived_cl6276, plain, ((((sk2) = (nil)) | ((tl @ sk1) = (sk7)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl6220, zip_derived_cl193])).
% 7.55/1.72 thf(zip_derived_cl428, plain,
% 7.55/1.72 ((((cons @ sk9 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl422, zip_derived_cl204])).
% 7.55/1.72 thf(zip_derived_cl95, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause96])).
% 7.55/1.72 thf(zip_derived_cl430, plain,
% 7.55/1.72 ((((nil) = (sk1))
% 7.55/1.72 | ~ (ssItem @ sk9)
% 7.55/1.72 | ~ (ssList @ nil)
% 7.55/1.72 | ((tl @ sk1) = (nil)))),
% 7.55/1.72 inference('s_sup+', [status(thm)], [zip_derived_cl428, zip_derived_cl95])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl443, plain,
% 7.55/1.72 ((((nil) = (sk1)) | ~ (ssItem @ sk9) | ((tl @ sk1) = (nil)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl430, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl375, plain, ((((nil) = (sk1)) | (ssItem @ sk9))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl374, zip_derived_cl204])).
% 7.55/1.72 thf(zip_derived_cl466, plain, ((((tl @ sk1) = (nil)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl443, zip_derived_cl375])).
% 7.55/1.72 thf(zip_derived_cl6681, plain,
% 7.55/1.72 ((((sk2) = (nil)) | ((sk7) = (nil)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('s_sup+', [status(thm)],
% 7.55/1.72 [zip_derived_cl6276, zip_derived_cl466])).
% 7.55/1.72 thf(zip_derived_cl204, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 7.55/1.72 thf(zip_derived_cl6789, plain, ((((nil) = (sk1)) | ((sk7) = (nil)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl6681, zip_derived_cl204])).
% 7.55/1.72 thf(zip_derived_cl73, plain,
% 7.55/1.72 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause74])).
% 7.55/1.72 thf(zip_derived_cl1874, plain,
% 7.55/1.72 (((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1870, zip_derived_cl192, zip_derived_cl185])).
% 7.55/1.72 thf(clause151, axiom,
% 7.55/1.72 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 7.55/1.72 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 7.55/1.72 thf(zip_derived_cl150, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.55/1.72 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 7.55/1.72 | ~ (ssList @ X2)
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((X2) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause151])).
% 7.55/1.72 thf(zip_derived_cl1966, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((app @ X0 @ (skaf45 @ sk1 @ sk6)) != (sk1))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ~ (ssList @ (skaf45 @ sk1 @ sk6))
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ((X0) = (sk6)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1874, zip_derived_cl150])).
% 7.55/1.72 thf(zip_derived_cl50, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause51])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl1984, plain,
% 7.55/1.72 (![X0 : $i]:
% 7.55/1.72 (((app @ X0 @ (skaf45 @ sk1 @ sk6)) != (sk1))
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((X0) = (sk6)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1966, zip_derived_cl50, zip_derived_cl192])).
% 7.55/1.72 thf(zip_derived_cl2581, plain,
% 7.55/1.72 ((~ (ssList @ (skaf45 @ sk1 @ sk6))
% 7.55/1.72 | ((skaf45 @ sk1 @ sk6) != (sk1))
% 7.55/1.72 | ~ (ssList @ nil)
% 7.55/1.72 | ((nil) = (sk6)))),
% 7.55/1.72 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl1984])).
% 7.55/1.72 thf(zip_derived_cl50, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause51])).
% 7.55/1.72 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.55/1.72 inference('cnf', [status(esa)], [clause8])).
% 7.55/1.72 thf(zip_derived_cl2587, plain,
% 7.55/1.72 ((((skaf45 @ sk1 @ sk6) != (sk1)) | ((nil) = (sk6)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl2581, zip_derived_cl50, zip_derived_cl7])).
% 7.55/1.72 thf(zip_derived_cl5046, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl5045])).
% 7.55/1.72 thf(zip_derived_cl5182, plain,
% 7.55/1.72 ((((cons @ sk5 @ sk7) != (sk1)) | ((nil) = (sk6)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl2587, zip_derived_cl5046])).
% 7.55/1.72 thf(zip_derived_cl6802, plain,
% 7.55/1.72 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) != (sk1)) | ((nil) = (sk6)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl6789, zip_derived_cl5182])).
% 7.55/1.72 thf(zip_derived_cl1874, plain,
% 7.55/1.72 (((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1870, zip_derived_cl192, zip_derived_cl185])).
% 7.55/1.72 thf(clause118, axiom,
% 7.55/1.72 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 7.55/1.72 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 7.55/1.72 thf(zip_derived_cl117, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]:
% 7.55/1.72 (((app @ X0 @ X1) != (nil))
% 7.55/1.72 | ~ (ssList @ X1)
% 7.55/1.72 | ~ (ssList @ X0)
% 7.55/1.72 | ((nil) = (X0)))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause118])).
% 7.55/1.72 thf(zip_derived_cl1962, plain,
% 7.55/1.72 ((((sk1) != (nil))
% 7.55/1.72 | ~ (ssList @ (skaf45 @ sk1 @ sk6))
% 7.55/1.72 | ~ (ssList @ sk6)
% 7.55/1.72 | ((nil) = (sk6)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl1874, zip_derived_cl117])).
% 7.55/1.72 thf(zip_derived_cl50, plain,
% 7.55/1.72 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 7.55/1.72 inference('cnf', [status(esa)], [clause51])).
% 7.55/1.72 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 7.55/1.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.55/1.72 thf(zip_derived_cl1980, plain, ((((sk1) != (nil)) | ((nil) = (sk6)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1962, zip_derived_cl50, zip_derived_cl192])).
% 7.55/1.72 thf(zip_derived_cl7509, plain,
% 7.55/1.72 ((((nil) = (sk6)) | ((cons @ sk5 @ nil) != (sk1)))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl6802, zip_derived_cl1980])).
% 7.55/1.72 thf(zip_derived_cl7511, plain,
% 7.55/1.72 ((((nil) = (sk1)) | ((nil) = (sk6)) | ((sk1) != (sk1)))),
% 7.55/1.72 inference('s_sup-', [status(thm)],
% 7.55/1.72 [zip_derived_cl6639, zip_derived_cl7509])).
% 7.55/1.72 thf(zip_derived_cl7513, plain, ((((nil) = (sk6)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl7511])).
% 7.55/1.72 thf(zip_derived_cl1980, plain, ((((sk1) != (nil)) | ((nil) = (sk6)))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl1962, zip_derived_cl50, zip_derived_cl192])).
% 7.55/1.72 thf(zip_derived_cl7520, plain, (((nil) = (sk6))),
% 7.55/1.72 inference('clc', [status(thm)], [zip_derived_cl7513, zip_derived_cl1980])).
% 7.55/1.72 thf(zip_derived_cl3985, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl7562, plain, (((sk2) = (nil))),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl6767, zip_derived_cl7520, zip_derived_cl3985])).
% 7.55/1.72 thf(zip_derived_cl7565, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl7562])).
% 7.55/1.72 thf(zip_derived_cl7566, plain, (((nil) = (sk1))),
% 7.55/1.72 inference('simplify', [status(thm)], [zip_derived_cl7565])).
% 7.55/1.72 thf(zip_derived_cl3985, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 7.55/1.72 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl3911])).
% 7.55/1.72 thf(zip_derived_cl7597, plain, ($false),
% 7.55/1.72 inference('demod', [status(thm)],
% 7.55/1.72 [zip_derived_cl3147, zip_derived_cl7566, zip_derived_cl3985])).
% 7.55/1.72
% 7.55/1.72 % SZS output end Refutation
% 7.55/1.72
% 7.55/1.72
% 7.55/1.72 % Terminating...
% 8.11/1.77 % Runner terminated.
% 8.11/1.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------