TSTP Solution File: SWC295-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC295-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rRxmibOcFw true
% Computer : n007.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 21:30:32 EDT 2023
% Result : Unsatisfiable 6.77s 1.55s
% Output : Refutation 6.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC295-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rRxmibOcFw true
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 18:39:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.52/0.64 % Total configuration time : 435
% 0.52/0.64 % Estimated wc time : 1092
% 0.52/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.77/1.55 % Solved by fo/fo13.sh.
% 6.77/1.55 % done 1104 iterations in 0.787s
% 6.77/1.55 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.77/1.55 % SZS output start Refutation
% 6.77/1.55 thf(nil_type, type, nil: $i).
% 6.77/1.55 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 6.77/1.55 thf(cons_type, type, cons: $i > $i > $i).
% 6.77/1.55 thf(sk9_type, type, sk9: $i).
% 6.77/1.55 thf(sk2_type, type, sk2: $i).
% 6.77/1.55 thf(sk8_type, type, sk8: $i).
% 6.77/1.55 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 6.77/1.55 thf(sk6_type, type, sk6: $i).
% 6.77/1.55 thf(sk4_type, type, sk4: $i).
% 6.77/1.55 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 6.77/1.55 thf(tl_type, type, tl: $i > $i).
% 6.77/1.55 thf(memberP_type, type, memberP: $i > $i > $o).
% 6.77/1.55 thf(ssItem_type, type, ssItem: $i > $o).
% 6.77/1.55 thf(skaf82_type, type, skaf82: $i > $i).
% 6.77/1.55 thf(sk5_type, type, sk5: $i).
% 6.77/1.55 thf(sk3_type, type, sk3: $i).
% 6.77/1.55 thf(app_type, type, app: $i > $i > $i).
% 6.77/1.55 thf(ssList_type, type, ssList: $i > $o).
% 6.77/1.55 thf(sk7_type, type, sk7: $i).
% 6.77/1.55 thf(sk1_type, type, sk1: $i).
% 6.77/1.55 thf(clause120, axiom,
% 6.77/1.55 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 6.77/1.55 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 6.77/1.55 thf(zip_derived_cl119, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssItem @ X0)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause120])).
% 6.77/1.55 thf(clause86, axiom,
% 6.77/1.55 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 6.77/1.55 thf(zip_derived_cl85, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause86])).
% 6.77/1.55 thf(co1_10, conjecture,
% 6.77/1.55 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) != ( sk1 ))).
% 6.77/1.55 thf(zf_stmt_0, negated_conjecture,
% 6.77/1.55 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk1 )),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_10])).
% 6.77/1.55 thf(zip_derived_cl194, plain,
% 6.77/1.55 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.77/1.55 thf(clause149, axiom,
% 6.77/1.55 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 6.77/1.55 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 6.77/1.55 thf(zip_derived_cl148, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.55 (~ (ssList @ X0)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssList @ X2)
% 6.77/1.55 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause149])).
% 6.77/1.55 thf(zip_derived_cl1611, plain,
% 6.77/1.55 ((~ (ssList @ sk7)
% 6.77/1.55 | ~ (ssList @ (cons @ sk5 @ nil))
% 6.77/1.55 | ~ (ssList @ sk6)
% 6.77/1.55 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 6.77/1.55 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl148])).
% 6.77/1.55 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 6.77/1.55 thf(zf_stmt_1, negated_conjecture, (ssList @ sk7),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_9])).
% 6.77/1.55 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.55 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 6.77/1.55 thf(zf_stmt_2, negated_conjecture, (ssList @ sk6),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_8])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl1620, plain,
% 6.77/1.55 ((~ (ssList @ (cons @ sk5 @ nil))
% 6.77/1.55 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1611, zip_derived_cl193, zip_derived_cl192])).
% 6.77/1.55 thf(zip_derived_cl1661, plain,
% 6.77/1.55 ((~ (ssList @ nil)
% 6.77/1.55 | ~ (ssItem @ sk5)
% 6.77/1.55 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1620])).
% 6.77/1.55 thf(clause8, axiom, (ssList @ nil)).
% 6.77/1.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.77/1.55 inference('cnf', [status(esa)], [clause8])).
% 6.77/1.55 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 6.77/1.55 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk5),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_7])).
% 6.77/1.55 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.77/1.55 thf(zip_derived_cl1663, plain,
% 6.77/1.55 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1661, zip_derived_cl7, zip_derived_cl191])).
% 6.77/1.55 thf(zip_derived_cl1682, plain,
% 6.77/1.55 ((~ (ssList @ sk7)
% 6.77/1.55 | ~ (ssItem @ sk5)
% 6.77/1.55 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7))))),
% 6.77/1.55 inference('s_sup+', [status(thm)],
% 6.77/1.55 [zip_derived_cl119, zip_derived_cl1663])).
% 6.77/1.55 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.55 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.77/1.55 thf(zip_derived_cl1683, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1682, zip_derived_cl193, zip_derived_cl191])).
% 6.77/1.55 thf(clause175, axiom,
% 6.77/1.55 (( ( app @ U @ ( cons @ V @ W ) ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 6.77/1.55 ( ~( ssList @ U ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ X ) ) |
% 6.77/1.55 ( memberP @ X @ V ))).
% 6.77/1.55 thf(zip_derived_cl174, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.77/1.55 (((app @ X1 @ (cons @ X2 @ X3)) != (X0))
% 6.77/1.55 | ~ (ssList @ X3)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssItem @ X2)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | (memberP @ X0 @ X2))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause175])).
% 6.77/1.55 thf(zip_derived_cl3032, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (((sk1) != (X0))
% 6.77/1.55 | ~ (ssList @ sk7)
% 6.77/1.55 | ~ (ssList @ sk6)
% 6.77/1.55 | ~ (ssItem @ sk5)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | (memberP @ X0 @ sk5))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl1683, zip_derived_cl174])).
% 6.77/1.55 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.77/1.55 thf(zip_derived_cl3053, plain,
% 6.77/1.55 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl3032, zip_derived_cl193, zip_derived_cl192,
% 6.77/1.55 zip_derived_cl191])).
% 6.77/1.55 thf(zip_derived_cl3117, plain, (( (memberP @ sk1 @ sk5) | ~ (ssList @ sk1))),
% 6.77/1.55 inference('eq_res', [status(thm)], [zip_derived_cl3053])).
% 6.77/1.55 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 6.77/1.55 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_1])).
% 6.77/1.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.55 thf(zip_derived_cl3118, plain, ( (memberP @ sk1 @ sk5)),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl3117, zip_derived_cl185])).
% 6.77/1.55 thf(co1_22, conjecture,
% 6.77/1.55 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk9 ) ))).
% 6.77/1.55 thf(zf_stmt_5, negated_conjecture,
% 6.77/1.55 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk9 )),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_22])).
% 6.77/1.55 thf(zip_derived_cl206, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk9))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.55 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 6.77/1.55 thf(zf_stmt_6, negated_conjecture, (( sk1 ) = ( sk3 )),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_6])).
% 6.77/1.55 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.77/1.55 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 6.77/1.55 thf(zf_stmt_7, negated_conjecture, (( sk2 ) = ( sk4 )),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_5])).
% 6.77/1.55 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.77/1.55 thf(zip_derived_cl215, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk9))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl206, zip_derived_cl190, zip_derived_cl189])).
% 6.77/1.55 thf(clause75, axiom,
% 6.77/1.55 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 6.77/1.55 thf(zip_derived_cl74, plain,
% 6.77/1.55 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause75])).
% 6.77/1.55 thf(co1_18, conjecture,
% 6.77/1.55 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) ) ))).
% 6.77/1.55 thf(zf_stmt_8, negated_conjecture,
% 6.77/1.55 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) )),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_18])).
% 6.77/1.55 thf(zip_derived_cl202, plain,
% 6.77/1.55 ((((nil) = (sk4)) | ((cons @ sk9 @ nil) = (sk3)))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_8])).
% 6.77/1.55 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.77/1.55 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_6])).
% 6.77/1.55 thf(zip_derived_cl208, plain,
% 6.77/1.55 ((((nil) = (sk2)) | ((cons @ sk9 @ nil) = (sk1)))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl202, zip_derived_cl189, zip_derived_cl190])).
% 6.77/1.55 thf(clause96, axiom,
% 6.77/1.55 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 6.77/1.55 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 6.77/1.55 thf(zip_derived_cl95, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause96])).
% 6.77/1.55 thf(zip_derived_cl385, plain,
% 6.77/1.55 ((((nil) = (sk2))
% 6.77/1.55 | ~ (ssItem @ sk9)
% 6.77/1.55 | ~ (ssList @ nil)
% 6.77/1.55 | ((tl @ sk1) = (nil)))),
% 6.77/1.55 inference('s_sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl95])).
% 6.77/1.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.77/1.55 inference('cnf', [status(esa)], [clause8])).
% 6.77/1.55 thf(zip_derived_cl388, plain,
% 6.77/1.55 ((((nil) = (sk2)) | ~ (ssItem @ sk9) | ((tl @ sk1) = (nil)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl385, zip_derived_cl7])).
% 6.77/1.55 thf(co1_16, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk9 ) ))).
% 6.77/1.55 thf(zf_stmt_9, negated_conjecture,
% 6.77/1.55 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk9 )),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_16])).
% 6.77/1.55 thf(zip_derived_cl200, plain, ((((nil) = (sk4)) | (ssItem @ sk9))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.77/1.55 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.77/1.55 thf(zip_derived_cl212, plain, ((((nil) = (sk2)) | (ssItem @ sk9))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl189])).
% 6.77/1.55 thf(zip_derived_cl390, plain, ((((tl @ sk1) = (nil)) | ((nil) = (sk2)))),
% 6.77/1.55 inference('clc', [status(thm)], [zip_derived_cl388, zip_derived_cl212])).
% 6.77/1.55 thf(zip_derived_cl85, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause86])).
% 6.77/1.55 thf(zip_derived_cl1683, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1682, zip_derived_cl193, zip_derived_cl191])).
% 6.77/1.55 thf(clause144, axiom,
% 6.77/1.55 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 6.77/1.55 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 6.77/1.55 thf(zip_derived_cl143, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.55 (((app @ X1 @ X2) != (X0))
% 6.77/1.55 | ~ (ssList @ X2)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | (frontsegP @ X0 @ X1))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause144])).
% 6.77/1.55 thf(zip_derived_cl1715, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (((sk1) != (X0))
% 6.77/1.55 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.77/1.55 | ~ (ssList @ sk6)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | (frontsegP @ X0 @ sk6))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl1683, zip_derived_cl143])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl1732, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (((sk1) != (X0))
% 6.77/1.55 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | (frontsegP @ X0 @ sk6))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl1715, zip_derived_cl192])).
% 6.77/1.55 thf(zip_derived_cl1833, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (ssList @ sk7)
% 6.77/1.55 | ~ (ssItem @ sk5)
% 6.77/1.55 | ((sk1) != (X0))
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | (frontsegP @ X0 @ sk6))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1732])).
% 6.77/1.55 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.55 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.77/1.55 thf(zip_derived_cl1834, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (((sk1) != (X0)) | ~ (ssList @ X0) | (frontsegP @ X0 @ sk6))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1833, zip_derived_cl193, zip_derived_cl191])).
% 6.77/1.55 thf(zip_derived_cl1877, plain,
% 6.77/1.55 (( (frontsegP @ sk1 @ sk6) | ~ (ssList @ sk1))),
% 6.77/1.55 inference('eq_res', [status(thm)], [zip_derived_cl1834])).
% 6.77/1.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.55 thf(zip_derived_cl1878, plain, ( (frontsegP @ sk1 @ sk6)),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl1877, zip_derived_cl185])).
% 6.77/1.55 thf(clause132, axiom,
% 6.77/1.55 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 6.77/1.55 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 6.77/1.55 thf(zip_derived_cl131, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (frontsegP @ X0 @ X1)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause132])).
% 6.77/1.55 thf(zip_derived_cl1880, plain,
% 6.77/1.55 ((~ (ssList @ sk6)
% 6.77/1.55 | ~ (ssList @ sk1)
% 6.77/1.55 | ((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1)))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl1878, zip_derived_cl131])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.55 thf(zip_derived_cl1884, plain,
% 6.77/1.55 (((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1880, zip_derived_cl192, zip_derived_cl185])).
% 6.77/1.55 thf(clause133, axiom,
% 6.77/1.55 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 6.77/1.55 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 6.77/1.55 thf(zip_derived_cl132, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ X0)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ((nil) = (X1))
% 6.77/1.55 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause133])).
% 6.77/1.55 thf(zip_derived_cl1894, plain,
% 6.77/1.55 ((~ (ssList @ (skaf45 @ sk1 @ sk6))
% 6.77/1.55 | ~ (ssList @ sk6)
% 6.77/1.55 | ((nil) = (sk6))
% 6.77/1.55 | ((tl @ sk1) = (app @ (tl @ sk6) @ (skaf45 @ sk1 @ sk6))))),
% 6.77/1.55 inference('s_sup+', [status(thm)],
% 6.77/1.55 [zip_derived_cl1884, zip_derived_cl132])).
% 6.77/1.55 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 6.77/1.55 thf(zip_derived_cl50, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause51])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl1912, plain,
% 6.77/1.55 ((((nil) = (sk6))
% 6.77/1.55 | ((tl @ sk1) = (app @ (tl @ sk6) @ (skaf45 @ sk1 @ sk6))))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1894, zip_derived_cl50, zip_derived_cl192])).
% 6.77/1.55 thf(zip_derived_cl1884, plain,
% 6.77/1.55 (((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1880, zip_derived_cl192, zip_derived_cl185])).
% 6.77/1.55 thf(zip_derived_cl85, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause86])).
% 6.77/1.55 thf(zip_derived_cl85, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause86])).
% 6.77/1.55 thf(clause85, axiom,
% 6.77/1.55 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 6.77/1.55 thf(zip_derived_cl84, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause85])).
% 6.77/1.55 thf(clause72, axiom,
% 6.77/1.55 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 6.77/1.55 thf(zip_derived_cl71, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause72])).
% 6.77/1.55 thf(zip_derived_cl85, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause86])).
% 6.77/1.55 thf(zip_derived_cl84, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause85])).
% 6.77/1.55 thf(zip_derived_cl1683, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1682, zip_derived_cl193, zip_derived_cl191])).
% 6.77/1.55 thf(clause179, axiom,
% 6.77/1.55 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 6.77/1.55 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 6.77/1.55 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 6.77/1.55 thf(zip_derived_cl178, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.77/1.55 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 6.77/1.55 | ~ (ssList @ X4)
% 6.77/1.55 | ~ (ssList @ X3)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssItem @ X2)
% 6.77/1.55 | ~ (duplicatefreeP @ X0)
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause179])).
% 6.77/1.55 thf(zip_derived_cl3403, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssList @ sk7)
% 6.77/1.55 | ~ (ssList @ sk6)
% 6.77/1.55 | ~ (ssItem @ sk5)
% 6.77/1.55 | ~ (duplicatefreeP @ X0)
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl1683, zip_derived_cl178])).
% 6.77/1.55 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.77/1.55 thf(zip_derived_cl3433, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (duplicatefreeP @ X0)
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl3403, zip_derived_cl193, zip_derived_cl192,
% 6.77/1.55 zip_derived_cl191])).
% 6.77/1.55 thf(zip_derived_cl3565, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 6.77/1.55 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('eq_res', [status(thm)], [zip_derived_cl3433])).
% 6.77/1.55 thf(zip_derived_cl4019, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (ssList @ sk1)
% 6.77/1.55 | ~ (ssList @ (cons @ sk5 @ X0))
% 6.77/1.55 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3565])).
% 6.77/1.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.55 thf(zip_derived_cl4021, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (ssList @ (cons @ sk5 @ X0))
% 6.77/1.55 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl4019, zip_derived_cl185])).
% 6.77/1.55 thf(zip_derived_cl4022, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (ssList @ X0)
% 6.77/1.55 | ~ (ssItem @ sk5)
% 6.77/1.55 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4021])).
% 6.77/1.55 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.77/1.55 thf(zip_derived_cl4023, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (ssList @ X0)
% 6.77/1.55 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl4022, zip_derived_cl191])).
% 6.77/1.55 thf(zip_derived_cl4024, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl4023])).
% 6.77/1.55 thf(zip_derived_cl4163, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 ( (ssItem @ X1)
% 6.77/1.55 | ~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl4024])).
% 6.77/1.55 thf(zip_derived_cl4165, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ sk1)
% 6.77/1.55 | ~ (ssList @ (cons @ sk5 @ X0))
% 6.77/1.55 | (ssItem @ X1)
% 6.77/1.55 | ~ (ssList @ X0))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4163])).
% 6.77/1.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.55 thf(zip_derived_cl4167, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ (cons @ sk5 @ X0)) | (ssItem @ X1) | ~ (ssList @ X0))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl4165, zip_derived_cl185])).
% 6.77/1.55 thf(zip_derived_cl4168, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ X0) | ~ (ssItem @ sk5) | (ssItem @ X1) | ~ (ssList @ X0))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4167])).
% 6.77/1.55 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.77/1.55 thf(zip_derived_cl4169, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ X0) | (ssItem @ X1) | ~ (ssList @ X0))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl4168, zip_derived_cl191])).
% 6.77/1.55 thf(zip_derived_cl4170, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]: ( (ssItem @ X1) | ~ (ssList @ X0))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl4169])).
% 6.77/1.55 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 6.77/1.55 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause13])).
% 6.77/1.55 thf(zip_derived_cl4171, plain, (![X1 : $i]: (ssItem @ X1)),
% 6.77/1.55 inference('s_sup+', [status(thm)], [zip_derived_cl4170, zip_derived_cl12])).
% 6.77/1.55 thf(zip_derived_cl4248, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4171])).
% 6.77/1.55 thf(zip_derived_cl1683, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1682, zip_derived_cl193, zip_derived_cl191])).
% 6.77/1.55 thf(clause150, axiom,
% 6.77/1.55 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 6.77/1.55 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 6.77/1.55 thf(zip_derived_cl149, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.55 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 6.77/1.55 | ~ (ssList @ X2)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ((X2) = (X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause150])).
% 6.77/1.55 thf(zip_derived_cl1707, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (((app @ sk6 @ X0) != (sk1))
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ~ (ssList @ sk6)
% 6.77/1.55 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.77/1.55 | ((X0) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl1683, zip_derived_cl149])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl1724, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (((app @ sk6 @ X0) != (sk1))
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.77/1.55 | ((X0) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl1707, zip_derived_cl192])).
% 6.77/1.55 thf(zip_derived_cl4671, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (ssList @ sk7)
% 6.77/1.55 | ((app @ sk6 @ X0) != (sk1))
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ((X0) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl4248, zip_derived_cl1724])).
% 6.77/1.55 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.55 thf(zip_derived_cl4672, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (((app @ sk6 @ X0) != (sk1))
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ((X0) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl4671, zip_derived_cl193])).
% 6.77/1.55 thf(zip_derived_cl4675, plain,
% 6.77/1.55 ((((sk1) != (sk1))
% 6.77/1.55 | ~ (ssList @ (skaf45 @ sk1 @ sk6))
% 6.77/1.55 | ((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl1884, zip_derived_cl4672])).
% 6.77/1.55 thf(zip_derived_cl50, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause51])).
% 6.77/1.55 thf(zip_derived_cl4680, plain,
% 6.77/1.55 ((((sk1) != (sk1)) | ((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl4675, zip_derived_cl50])).
% 6.77/1.55 thf(zip_derived_cl4681, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl4680])).
% 6.77/1.55 thf(zip_derived_cl4705, plain,
% 6.77/1.55 ((((nil) = (sk6))
% 6.77/1.55 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1912, zip_derived_cl4681])).
% 6.77/1.55 thf(clause119, axiom,
% 6.77/1.55 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 6.77/1.55 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 6.77/1.55 thf(zip_derived_cl118, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (((app @ X0 @ X1) != (nil))
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ((nil) = (X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause119])).
% 6.77/1.55 thf(zip_derived_cl4865, plain,
% 6.77/1.55 ((((nil) = (sk6))
% 6.77/1.55 | ((tl @ sk1) != (nil))
% 6.77/1.55 | ~ (ssList @ (cons @ sk5 @ sk7))
% 6.77/1.55 | ~ (ssList @ (tl @ sk6))
% 6.77/1.55 | ((nil) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl4705, zip_derived_cl118])).
% 6.77/1.55 thf(zip_derived_cl4681, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl4680])).
% 6.77/1.55 thf(zip_derived_cl50, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause51])).
% 6.77/1.55 thf(zip_derived_cl4712, plain, ( (ssList @ (cons @ sk5 @ sk7))),
% 6.77/1.55 inference('s_sup+', [status(thm)], [zip_derived_cl4681, zip_derived_cl50])).
% 6.77/1.55 thf(zip_derived_cl4883, plain,
% 6.77/1.55 ((((nil) = (sk6))
% 6.77/1.55 | ((tl @ sk1) != (nil))
% 6.77/1.55 | ~ (ssList @ (tl @ sk6))
% 6.77/1.55 | ((nil) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl4865, zip_derived_cl4712])).
% 6.77/1.55 thf(zip_derived_cl5396, plain,
% 6.77/1.55 ((((nil) = (sk2))
% 6.77/1.55 | ((nil) = (sk6))
% 6.77/1.55 | ((nil) != (nil))
% 6.77/1.55 | ~ (ssList @ (tl @ sk6))
% 6.77/1.55 | ((nil) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl390, zip_derived_cl4883])).
% 6.77/1.55 thf(zip_derived_cl5398, plain,
% 6.77/1.55 ((((nil) = (cons @ sk5 @ sk7))
% 6.77/1.55 | ~ (ssList @ (tl @ sk6))
% 6.77/1.55 | ((nil) = (sk6))
% 6.77/1.55 | ((nil) = (sk2)))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl5396])).
% 6.77/1.55 thf(zip_derived_cl5400, plain,
% 6.77/1.55 ((((nil) = (sk6))
% 6.77/1.55 | ~ (ssList @ sk6)
% 6.77/1.55 | ((nil) = (cons @ sk5 @ sk7))
% 6.77/1.55 | ((nil) = (sk6))
% 6.77/1.55 | ((nil) = (sk2)))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl5398])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl5401, plain,
% 6.77/1.55 ((((nil) = (sk6))
% 6.77/1.55 | ((nil) = (cons @ sk5 @ sk7))
% 6.77/1.55 | ((nil) = (sk6))
% 6.77/1.55 | ((nil) = (sk2)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl5400, zip_derived_cl192])).
% 6.77/1.55 thf(zip_derived_cl5402, plain,
% 6.77/1.55 ((((nil) = (sk2)) | ((nil) = (cons @ sk5 @ sk7)) | ((nil) = (sk6)))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl5401])).
% 6.77/1.55 thf(clause98, axiom,
% 6.77/1.55 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 6.77/1.55 ( ~( ssList @ V ) ))).
% 6.77/1.55 thf(zip_derived_cl97, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause98])).
% 6.77/1.55 thf(zip_derived_cl4171, plain, (![X1 : $i]: (ssItem @ X1)),
% 6.77/1.55 inference('s_sup+', [status(thm)], [zip_derived_cl4170, zip_derived_cl12])).
% 6.77/1.55 thf(zip_derived_cl4251, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]: (((cons @ X0 @ X1) != (nil)) | ~ (ssList @ X1))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl4171])).
% 6.77/1.55 thf(zip_derived_cl5408, plain,
% 6.77/1.55 ((((nil) = (sk6)) | ((nil) = (sk2)) | ((nil) != (nil)) | ~ (ssList @ sk7))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl5402, zip_derived_cl4251])).
% 6.77/1.55 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.55 thf(zip_derived_cl5446, plain,
% 6.77/1.55 ((((nil) = (sk6)) | ((nil) = (sk2)) | ((nil) != (nil)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl5408, zip_derived_cl193])).
% 6.77/1.55 thf(zip_derived_cl5447, plain, ((((nil) = (sk2)) | ((nil) = (sk6)))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl5446])).
% 6.77/1.55 thf(zip_derived_cl5447, plain, ((((nil) = (sk2)) | ((nil) = (sk6)))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl5446])).
% 6.77/1.55 thf(zip_derived_cl4681, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl4680])).
% 6.77/1.55 thf(zip_derived_cl5499, plain,
% 6.77/1.55 ((((nil) = (sk2)) | ((skaf45 @ sk1 @ nil) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('s_sup+', [status(thm)],
% 6.77/1.55 [zip_derived_cl5447, zip_derived_cl4681])).
% 6.77/1.55 thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 6.77/1.55 thf(zip_derived_cl59, plain,
% 6.77/1.55 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause60])).
% 6.77/1.55 thf(zip_derived_cl1878, plain, ( (frontsegP @ sk1 @ sk6)),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl1877, zip_derived_cl185])).
% 6.77/1.55 thf(clause154, axiom,
% 6.77/1.55 (( ~( frontsegP @ U @ V ) ) | ( ~( frontsegP @ V @ W ) ) |
% 6.77/1.55 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 6.77/1.55 ( frontsegP @ U @ W ))).
% 6.77/1.55 thf(zip_derived_cl153, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.55 (~ (frontsegP @ X0 @ X1)
% 6.77/1.55 | ~ (frontsegP @ X1 @ X2)
% 6.77/1.55 | ~ (ssList @ X2)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | (frontsegP @ X0 @ X2))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause154])).
% 6.77/1.55 thf(zip_derived_cl1882, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (frontsegP @ sk6 @ X0)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ~ (ssList @ sk6)
% 6.77/1.55 | ~ (ssList @ sk1)
% 6.77/1.55 | (frontsegP @ sk1 @ X0))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl1878, zip_derived_cl153])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.55 thf(zip_derived_cl1886, plain,
% 6.77/1.55 (![X0 : $i]:
% 6.77/1.55 (~ (frontsegP @ sk6 @ X0) | ~ (ssList @ X0) | (frontsegP @ sk1 @ X0))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1882, zip_derived_cl192, zip_derived_cl185])).
% 6.77/1.55 thf(zip_derived_cl1888, plain,
% 6.77/1.55 ((~ (ssList @ sk6) | ~ (ssList @ nil) | (frontsegP @ sk1 @ nil))),
% 6.77/1.55 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl1886])).
% 6.77/1.55 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.77/1.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.77/1.55 inference('cnf', [status(esa)], [clause8])).
% 6.77/1.55 thf(zip_derived_cl1890, plain, ( (frontsegP @ sk1 @ nil)),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1888, zip_derived_cl192, zip_derived_cl7])).
% 6.77/1.55 thf(zip_derived_cl131, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (frontsegP @ X0 @ X1)
% 6.77/1.55 | ~ (ssList @ X1)
% 6.77/1.55 | ~ (ssList @ X0)
% 6.77/1.55 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause132])).
% 6.77/1.55 thf(zip_derived_cl1947, plain,
% 6.77/1.55 ((~ (ssList @ nil)
% 6.77/1.55 | ~ (ssList @ sk1)
% 6.77/1.55 | ((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1)))),
% 6.77/1.55 inference('s_sup-', [status(thm)],
% 6.77/1.55 [zip_derived_cl1890, zip_derived_cl131])).
% 6.77/1.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 6.77/1.55 inference('cnf', [status(esa)], [clause8])).
% 6.77/1.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.55 thf(zip_derived_cl1951, plain,
% 6.77/1.55 (((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl1947, zip_derived_cl7, zip_derived_cl185])).
% 6.77/1.55 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 6.77/1.55 thf(zip_derived_cl73, plain,
% 6.77/1.55 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause74])).
% 6.77/1.55 thf(zip_derived_cl1994, plain,
% 6.77/1.55 ((~ (ssList @ (skaf45 @ sk1 @ nil)) | ((sk1) = (skaf45 @ sk1 @ nil)))),
% 6.77/1.55 inference('s_sup+', [status(thm)], [zip_derived_cl1951, zip_derived_cl73])).
% 6.77/1.55 thf(zip_derived_cl50, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause51])).
% 6.77/1.55 thf(zip_derived_cl2016, plain, (((sk1) = (skaf45 @ sk1 @ nil))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl1994, zip_derived_cl50])).
% 6.77/1.55 thf(zip_derived_cl5504, plain,
% 6.77/1.55 ((((nil) = (sk2)) | ((sk1) = (cons @ sk5 @ sk7)))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl5499, zip_derived_cl2016])).
% 6.77/1.55 thf(zip_derived_cl95, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause96])).
% 6.77/1.55 thf(zip_derived_cl4171, plain, (![X1 : $i]: (ssItem @ X1)),
% 6.77/1.55 inference('s_sup+', [status(thm)], [zip_derived_cl4170, zip_derived_cl12])).
% 6.77/1.55 thf(zip_derived_cl4249, plain,
% 6.77/1.55 (![X0 : $i, X1 : $i]:
% 6.77/1.55 (~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl4171])).
% 6.77/1.55 thf(zip_derived_cl5511, plain,
% 6.77/1.55 ((((nil) = (sk2)) | ~ (ssList @ sk7) | ((tl @ sk1) = (sk7)))),
% 6.77/1.55 inference('s_sup+', [status(thm)],
% 6.77/1.55 [zip_derived_cl5504, zip_derived_cl4249])).
% 6.77/1.55 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.55 thf(zip_derived_cl5551, plain, ((((nil) = (sk2)) | ((tl @ sk1) = (sk7)))),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl5511, zip_derived_cl193])).
% 6.77/1.55 thf(zip_derived_cl390, plain, ((((tl @ sk1) = (nil)) | ((nil) = (sk2)))),
% 6.77/1.55 inference('clc', [status(thm)], [zip_derived_cl388, zip_derived_cl212])).
% 6.77/1.55 thf(zip_derived_cl5755, plain,
% 6.77/1.55 ((((nil) = (sk2)) | ((sk7) = (nil)) | ((nil) = (sk2)))),
% 6.77/1.55 inference('s_sup+', [status(thm)],
% 6.77/1.55 [zip_derived_cl5551, zip_derived_cl390])).
% 6.77/1.55 thf(zip_derived_cl5771, plain, ((((sk7) = (nil)) | ((nil) = (sk2)))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl5755])).
% 6.77/1.55 thf(co1_12, conjecture,
% 6.77/1.55 (~( ( memberP @ sk7 @ sk8 ) | ( memberP @ sk6 @ sk8 ) ))).
% 6.77/1.55 thf(zf_stmt_10, negated_conjecture,
% 6.77/1.55 (( memberP @ sk7 @ sk8 ) | ( memberP @ sk6 @ sk8 )),
% 6.77/1.55 inference('cnf.neg', [status(esa)], [co1_12])).
% 6.77/1.55 thf(zip_derived_cl196, plain,
% 6.77/1.55 (( (memberP @ sk7 @ sk8) | (memberP @ sk6 @ sk8))),
% 6.77/1.55 inference('cnf', [status(esa)], [zf_stmt_10])).
% 6.77/1.55 thf(zip_derived_cl5779, plain,
% 6.77/1.55 ((((nil) = (sk2)) | (memberP @ nil @ sk8) | (memberP @ sk6 @ sk8))),
% 6.77/1.55 inference('s_sup+', [status(thm)],
% 6.77/1.55 [zip_derived_cl5771, zip_derived_cl196])).
% 6.77/1.55 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 6.77/1.55 thf(zip_derived_cl70, plain,
% 6.77/1.55 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 6.77/1.55 inference('cnf', [status(esa)], [clause71])).
% 6.77/1.55 thf(zip_derived_cl4171, plain, (![X1 : $i]: (ssItem @ X1)),
% 6.77/1.55 inference('s_sup+', [status(thm)], [zip_derived_cl4170, zip_derived_cl12])).
% 6.77/1.55 thf(zip_derived_cl4247, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl4171])).
% 6.77/1.55 thf(zip_derived_cl5822, plain, ((((nil) = (sk2)) | (memberP @ sk6 @ sk8))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl5779, zip_derived_cl4247])).
% 6.77/1.55 thf(zip_derived_cl6101, plain,
% 6.77/1.55 ((((nil) = (sk2)) | ((nil) = (sk2)) | (memberP @ nil @ sk8))),
% 6.77/1.55 inference('s_sup+', [status(thm)],
% 6.77/1.55 [zip_derived_cl5447, zip_derived_cl5822])).
% 6.77/1.55 thf(zip_derived_cl6102, plain, (( (memberP @ nil @ sk8) | ((nil) = (sk2)))),
% 6.77/1.55 inference('simplify', [status(thm)], [zip_derived_cl6101])).
% 6.77/1.55 thf(zip_derived_cl4247, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl4171])).
% 6.77/1.55 thf(zip_derived_cl6374, plain, (((nil) = (sk2))),
% 6.77/1.55 inference('clc', [status(thm)], [zip_derived_cl6102, zip_derived_cl4247])).
% 6.77/1.55 thf(zip_derived_cl4247, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl4171])).
% 6.77/1.55 thf(zip_derived_cl6377, plain, (((nil) = (sk1))),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl215, zip_derived_cl6374, zip_derived_cl4247])).
% 6.77/1.55 thf(zip_derived_cl4247, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 6.77/1.55 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl4171])).
% 6.77/1.55 thf(zip_derived_cl6438, plain, ($false),
% 6.77/1.55 inference('demod', [status(thm)],
% 6.77/1.55 [zip_derived_cl3118, zip_derived_cl6377, zip_derived_cl4247])).
% 6.77/1.55
% 6.77/1.55 % SZS output end Refutation
% 6.77/1.55
% 6.77/1.55
% 6.77/1.55 % Terminating...
% 7.39/1.66 % Runner terminated.
% 7.39/1.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------