TSTP Solution File: SWC031-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC031-1 : 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.BEpNZoizh7 true
% Computer : n013.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 21:28:38 EDT 2023
% Result : Unsatisfiable 76.24s 11.50s
% Output : Refutation 76.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC031-1 : 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.BEpNZoizh7 true
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 16:41:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.90/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.90/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.90/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.90/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.90/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.90/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.90/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 76.24/11.50 % Solved by fo/fo13.sh.
% 76.24/11.50 % done 11693 iterations in 10.730s
% 76.24/11.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 76.24/11.50 % SZS output start Refutation
% 76.24/11.50 thf(totalorderedP_type, type, totalorderedP: $i > $o).
% 76.24/11.50 thf(nil_type, type, nil: $i).
% 76.24/11.50 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 76.24/11.50 thf(cons_type, type, cons: $i > $i > $i).
% 76.24/11.50 thf(sk2_type, type, sk2: $i).
% 76.24/11.50 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 76.24/11.50 thf(sk4_type, type, sk4: $i).
% 76.24/11.50 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 76.24/11.50 thf(tl_type, type, tl: $i > $i).
% 76.24/11.50 thf(hd_type, type, hd: $i > $i).
% 76.24/11.50 thf(ssItem_type, type, ssItem: $i > $o).
% 76.24/11.50 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 76.24/11.50 thf(skaf82_type, type, skaf82: $i > $i).
% 76.24/11.50 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 76.24/11.50 thf(sk3_type, type, sk3: $i).
% 76.24/11.50 thf(skaf47_type, type, skaf47: $i > $i > $i).
% 76.24/11.50 thf(skaf83_type, type, skaf83: $i > $i).
% 76.24/11.50 thf(neq_type, type, neq: $i > $i > $o).
% 76.24/11.50 thf(skaf48_type, type, skaf48: $i > $i > $i).
% 76.24/11.50 thf(app_type, type, app: $i > $i > $i).
% 76.24/11.50 thf(ssList_type, type, ssList: $i > $o).
% 76.24/11.50 thf(sk1_type, type, sk1: $i).
% 76.24/11.50 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 76.24/11.50 thf(clause58, axiom, (( ~( ssList @ U ) ) | ( rearsegP @ U @ nil ))).
% 76.24/11.50 thf(zip_derived_cl57, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ nil))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause58])).
% 76.24/11.50 thf(clause131, axiom,
% 76.24/11.50 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 76.24/11.50 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 76.24/11.50 thf(zip_derived_cl130, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (rearsegP @ X0 @ X1)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause131])).
% 76.24/11.50 thf(zip_derived_cl659, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ nil)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)))),
% 76.24/11.50 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl130])).
% 76.24/11.50 thf(clause8, axiom, (ssList @ nil)).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl662, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl659, zip_derived_cl7])).
% 76.24/11.50 thf(zip_derived_cl663, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)) | ~ (ssList @ X0))),
% 76.24/11.50 inference('simplify', [status(thm)], [zip_derived_cl662])).
% 76.24/11.50 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 76.24/11.50 thf(zip_derived_cl72, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause73])).
% 76.24/11.50 thf(zip_derived_cl1381, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ (skaf46 @ X0 @ nil))
% 76.24/11.50 | ((X0) = (skaf46 @ X0 @ nil)))),
% 76.24/11.50 inference('s_sup+', [status(thm)], [zip_derived_cl663, zip_derived_cl72])).
% 76.24/11.50 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 76.24/11.50 thf(zip_derived_cl49, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause50])).
% 76.24/11.50 thf(zip_derived_cl1405, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | ((X0) = (skaf46 @ X0 @ nil)))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl1381, zip_derived_cl49])).
% 76.24/11.50 thf(zip_derived_cl57, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ nil))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause58])).
% 76.24/11.50 thf(zip_derived_cl72, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause73])).
% 76.24/11.50 thf(zip_derived_cl72, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause73])).
% 76.24/11.50 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 76.24/11.50 thf(zip_derived_cl55, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause56])).
% 76.24/11.50 thf(co1_7, conjecture, (~( frontsegP @ sk4 @ sk3 ))).
% 76.24/11.50 thf(zf_stmt_0, negated_conjecture, (frontsegP @ sk4 @ sk3),
% 76.24/11.50 inference('cnf.neg', [status(esa)], [co1_7])).
% 76.24/11.50 thf(zip_derived_cl191, plain, ( (frontsegP @ sk4 @ sk3)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 76.24/11.50 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 76.24/11.50 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 76.24/11.50 inference('cnf.neg', [status(esa)], [co1_5])).
% 76.24/11.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 76.24/11.50 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 76.24/11.50 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 76.24/11.50 inference('cnf.neg', [status(esa)], [co1_6])).
% 76.24/11.50 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 76.24/11.50 thf(zip_derived_cl201, plain, ( (frontsegP @ sk2 @ sk1)),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 76.24/11.50 thf(co1_10, conjecture, (~( ( ( nil ) = ( sk1 ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 76.24/11.50 thf(zf_stmt_3, negated_conjecture,
% 76.24/11.50 (( ( nil ) = ( sk1 ) ) | ( ( nil ) = ( sk2 ) )),
% 76.24/11.50 inference('cnf.neg', [status(esa)], [co1_10])).
% 76.24/11.50 thf(zip_derived_cl194, plain, ((((nil) = (sk1)) | ((nil) = (sk2)))),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_3])).
% 76.24/11.50 thf(zip_derived_cl201, plain, ( (frontsegP @ sk2 @ sk1)),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 76.24/11.50 thf(zip_derived_cl208, plain, ((((nil) = (sk1)) | (frontsegP @ nil @ sk1))),
% 76.24/11.50 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl201])).
% 76.24/11.50 thf(clause84, axiom,
% 76.24/11.50 (( ~( frontsegP @ nil @ U ) ) | ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 76.24/11.50 thf(zip_derived_cl83, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (frontsegP @ nil @ X0) | ~ (ssList @ X0) | ((nil) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause84])).
% 76.24/11.50 thf(zip_derived_cl213, plain,
% 76.24/11.50 ((((nil) = (sk1)) | ~ (ssList @ sk1) | ((nil) = (sk1)))),
% 76.24/11.50 inference('s_sup-', [status(thm)], [zip_derived_cl208, zip_derived_cl83])).
% 76.24/11.50 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 76.24/11.50 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 76.24/11.50 inference('cnf.neg', [status(esa)], [co1_1])).
% 76.24/11.50 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_4])).
% 76.24/11.50 thf(zip_derived_cl215, plain, ((((nil) = (sk1)) | ((nil) = (sk1)))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl185])).
% 76.24/11.50 thf(zip_derived_cl216, plain, (((nil) = (sk1))),
% 76.24/11.50 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 76.24/11.50 thf(zip_derived_cl222, plain, ( (frontsegP @ sk2 @ nil)),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl216])).
% 76.24/11.50 thf(clause132, axiom,
% 76.24/11.50 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 76.24/11.50 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 76.24/11.50 thf(zip_derived_cl131, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (frontsegP @ X0 @ X1)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause132])).
% 76.24/11.50 thf(zip_derived_cl744, plain,
% 76.24/11.50 ((~ (ssList @ nil)
% 76.24/11.50 | ~ (ssList @ sk2)
% 76.24/11.50 | ((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2)))),
% 76.24/11.50 inference('s_sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl131])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 76.24/11.50 thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 76.24/11.50 inference('cnf.neg', [status(esa)], [co1_2])).
% 76.24/11.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.50 thf(zip_derived_cl749, plain, (((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl744, zip_derived_cl7, zip_derived_cl186])).
% 76.24/11.50 thf(zip_derived_cl749, plain, (((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl744, zip_derived_cl7, zip_derived_cl186])).
% 76.24/11.50 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 76.24/11.50 thf(zip_derived_cl73, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause74])).
% 76.24/11.50 thf(zip_derived_cl762, plain,
% 76.24/11.50 ((~ (ssList @ (skaf45 @ sk2 @ nil)) | ((sk2) = (skaf45 @ sk2 @ nil)))),
% 76.24/11.50 inference('s_sup+', [status(thm)], [zip_derived_cl749, zip_derived_cl73])).
% 76.24/11.50 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 76.24/11.50 thf(zip_derived_cl50, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause51])).
% 76.24/11.50 thf(zip_derived_cl780, plain, (((sk2) = (skaf45 @ sk2 @ nil))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl762, zip_derived_cl50])).
% 76.24/11.50 thf(zip_derived_cl785, plain, (((app @ nil @ sk2) = (sk2))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl749, zip_derived_cl780])).
% 76.24/11.50 thf(clause172, axiom,
% 76.24/11.50 (( ~( segmentP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ X ) ) |
% 76.24/11.50 ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 76.24/11.50 ( segmentP @ ( app @ ( app @ X @ U ) @ W ) @ V ))).
% 76.24/11.50 thf(zip_derived_cl171, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 76.24/11.50 (~ (segmentP @ X0 @ X1)
% 76.24/11.50 | ~ (ssList @ X2)
% 76.24/11.50 | ~ (ssList @ X3)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | (segmentP @ (app @ (app @ X3 @ X0) @ X2) @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause172])).
% 76.24/11.50 thf(zip_derived_cl2136, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (segmentP @ sk2 @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ nil)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ sk2)
% 76.24/11.50 | (segmentP @ (app @ sk2 @ X1) @ X0))),
% 76.24/11.50 inference('s_sup+', [status(thm)], [zip_derived_cl785, zip_derived_cl171])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.50 thf(zip_derived_cl2172, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (segmentP @ sk2 @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | (segmentP @ (app @ sk2 @ X1) @ X0))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl2136, zip_derived_cl7, zip_derived_cl186])).
% 76.24/11.50 thf(zip_derived_cl3684, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (ssList @ sk2)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ nil)
% 76.24/11.50 | (segmentP @ (app @ sk2 @ X0) @ nil))),
% 76.24/11.50 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl2172])).
% 76.24/11.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl3689, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ (app @ sk2 @ X0) @ nil))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl3684, zip_derived_cl186, zip_derived_cl7])).
% 76.24/11.50 thf(zip_derived_cl3697, plain,
% 76.24/11.50 ((~ (ssList @ sk2) | ~ (ssList @ nil) | (segmentP @ sk2 @ nil))),
% 76.24/11.50 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl3689])).
% 76.24/11.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl3699, plain, ( (segmentP @ sk2 @ nil)),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl3697, zip_derived_cl186, zip_derived_cl7])).
% 76.24/11.50 thf(clause168, axiom,
% 76.24/11.50 (( ~( segmentP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 76.24/11.50 ( ( app @ ( app @ ( skaf47 @ U @ V ) @ V ) @ ( skaf48 @ V @ U ) ) = ( U ) ))).
% 76.24/11.50 thf(zip_derived_cl167, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (segmentP @ X0 @ X1)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((app @ (app @ (skaf47 @ X0 @ X1) @ X1) @ (skaf48 @ X1 @ X0))
% 76.24/11.50 = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause168])).
% 76.24/11.50 thf(zip_derived_cl3707, plain,
% 76.24/11.50 ((~ (ssList @ nil)
% 76.24/11.50 | ~ (ssList @ sk2)
% 76.24/11.50 | ((app @ (app @ (skaf47 @ sk2 @ nil) @ nil) @ (skaf48 @ nil @ sk2))
% 76.24/11.50 = (sk2)))),
% 76.24/11.50 inference('s_sup-', [status(thm)],
% 76.24/11.50 [zip_derived_cl3699, zip_derived_cl167])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.50 thf(zip_derived_cl3713, plain,
% 76.24/11.50 (((app @ (app @ (skaf47 @ sk2 @ nil) @ nil) @ (skaf48 @ nil @ sk2))
% 76.24/11.50 = (sk2))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl3707, zip_derived_cl7, zip_derived_cl186])).
% 76.24/11.50 thf(zip_derived_cl3761, plain,
% 76.24/11.50 ((~ (ssList @ (skaf47 @ sk2 @ nil))
% 76.24/11.50 | ((app @ (skaf47 @ sk2 @ nil) @ (skaf48 @ nil @ sk2)) = (sk2)))),
% 76.24/11.50 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl3713])).
% 76.24/11.50 thf(clause49, axiom, (ssList @ ( skaf47 @ U @ V ))).
% 76.24/11.50 thf(zip_derived_cl48, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]: (ssList @ (skaf47 @ X0 @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause49])).
% 76.24/11.50 thf(zip_derived_cl3762, plain,
% 76.24/11.50 (((app @ (skaf47 @ sk2 @ nil) @ (skaf48 @ nil @ sk2)) = (sk2))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl3761, zip_derived_cl48])).
% 76.24/11.50 thf(clause136, axiom,
% 76.24/11.50 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) |
% 76.24/11.50 ( ~( ssList @ U ) ) | ( rearsegP @ ( app @ W @ U ) @ V ))).
% 76.24/11.50 thf(zip_derived_cl135, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.50 (~ (rearsegP @ X0 @ X1)
% 76.24/11.50 | ~ (ssList @ X2)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | (rearsegP @ (app @ X2 @ X0) @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause136])).
% 76.24/11.50 thf(zip_derived_cl3805, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (rearsegP @ (skaf48 @ nil @ sk2) @ X0)
% 76.24/11.50 | ~ (ssList @ (skaf47 @ sk2 @ nil))
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ (skaf48 @ nil @ sk2))
% 76.24/11.50 | (rearsegP @ sk2 @ X0))),
% 76.24/11.50 inference('s_sup+', [status(thm)],
% 76.24/11.50 [zip_derived_cl3762, zip_derived_cl135])).
% 76.24/11.50 thf(zip_derived_cl48, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]: (ssList @ (skaf47 @ X0 @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause49])).
% 76.24/11.50 thf(clause48, axiom, (ssList @ ( skaf48 @ U @ V ))).
% 76.24/11.50 thf(zip_derived_cl47, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]: (ssList @ (skaf48 @ X0 @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause48])).
% 76.24/11.50 thf(zip_derived_cl3830, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (rearsegP @ (skaf48 @ nil @ sk2) @ X0)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | (rearsegP @ sk2 @ X0))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl3805, zip_derived_cl48, zip_derived_cl47])).
% 76.24/11.50 thf(zip_derived_cl3845, plain,
% 76.24/11.50 ((~ (ssList @ (skaf48 @ nil @ sk2))
% 76.24/11.50 | ~ (ssList @ nil)
% 76.24/11.50 | (rearsegP @ sk2 @ nil))),
% 76.24/11.50 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl3830])).
% 76.24/11.50 thf(zip_derived_cl47, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]: (ssList @ (skaf48 @ X0 @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause48])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl3847, plain, ( (rearsegP @ sk2 @ nil)),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl3845, zip_derived_cl47, zip_derived_cl7])).
% 76.24/11.50 thf(zip_derived_cl130, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (rearsegP @ X0 @ X1)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause131])).
% 76.24/11.50 thf(zip_derived_cl3849, plain,
% 76.24/11.50 ((~ (ssList @ nil)
% 76.24/11.50 | ~ (ssList @ sk2)
% 76.24/11.50 | ((app @ (skaf46 @ sk2 @ nil) @ nil) = (sk2)))),
% 76.24/11.50 inference('s_sup-', [status(thm)],
% 76.24/11.50 [zip_derived_cl3847, zip_derived_cl130])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.50 thf(zip_derived_cl3854, plain,
% 76.24/11.50 (((app @ (skaf46 @ sk2 @ nil) @ nil) = (sk2))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl3849, zip_derived_cl7, zip_derived_cl186])).
% 76.24/11.50 thf(zip_derived_cl3888, plain,
% 76.24/11.50 ((~ (ssList @ sk2) | ((app @ sk2 @ nil) = (sk2)))),
% 76.24/11.50 inference('s_sup+', [status(thm)],
% 76.24/11.50 [zip_derived_cl1405, zip_derived_cl3854])).
% 76.24/11.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.50 thf(zip_derived_cl3889, plain, (((app @ sk2 @ nil) = (sk2))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl3888, zip_derived_cl186])).
% 76.24/11.50 thf(clause123, axiom,
% 76.24/11.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 76.24/11.50 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 76.24/11.50 thf(zip_derived_cl122, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ((nil) = (X1))
% 76.24/11.50 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause123])).
% 76.24/11.50 thf(clause104, axiom,
% 76.24/11.50 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 76.24/11.50 ( ( nil ) = ( U ) ))).
% 76.24/11.50 thf(zip_derived_cl103, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (ssList @ X0)
% 76.24/11.50 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 76.24/11.50 | ((nil) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause104])).
% 76.24/11.50 thf(zip_derived_cl466, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (((nil) = (X0))
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ (app @ X0 @ X1))
% 76.24/11.50 | ((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1))
% 76.24/11.50 | ((nil) = (app @ X0 @ X1)))),
% 76.24/11.50 inference('s_sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl103])).
% 76.24/11.50 thf(clause85, axiom,
% 76.24/11.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 76.24/11.50 thf(zip_derived_cl84, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause85])).
% 76.24/11.50 thf(zip_derived_cl4628, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (((nil) = (app @ X0 @ X1))
% 76.24/11.50 | ((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1))
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((nil) = (X0)))),
% 76.24/11.50 inference('clc', [status(thm)], [zip_derived_cl466, zip_derived_cl84])).
% 76.24/11.50 thf(clause118, axiom,
% 76.24/11.50 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 76.24/11.50 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 76.24/11.50 thf(zip_derived_cl117, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (((app @ X0 @ X1) != (nil))
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((nil) = (X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause118])).
% 76.24/11.50 thf(zip_derived_cl4629, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (((nil) = (X0))
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1)))),
% 76.24/11.50 inference('clc', [status(thm)], [zip_derived_cl4628, zip_derived_cl117])).
% 76.24/11.50 thf(zip_derived_cl4701, plain,
% 76.24/11.50 ((((nil) = (sk2))
% 76.24/11.50 | ~ (ssList @ sk2)
% 76.24/11.50 | ~ (ssList @ nil)
% 76.24/11.50 | ((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)))),
% 76.24/11.50 inference('s_sup+', [status(thm)],
% 76.24/11.50 [zip_derived_cl3889, zip_derived_cl4629])).
% 76.24/11.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl4733, plain,
% 76.24/11.50 ((((nil) = (sk2)) | ((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl4701, zip_derived_cl186, zip_derived_cl7])).
% 76.24/11.50 thf(co1_13, conjecture,
% 76.24/11.50 (~( ( ( nil ) != ( sk2 ) ) | ( ( nil ) != ( sk1 ) ) ))).
% 76.24/11.50 thf(zf_stmt_6, negated_conjecture,
% 76.24/11.50 (( ( nil ) != ( sk2 ) ) | ( ( nil ) != ( sk1 ) )),
% 76.24/11.50 inference('cnf.neg', [status(esa)], [co1_13])).
% 76.24/11.50 thf(zip_derived_cl197, plain, ((((nil) != (sk2)) | ((nil) != (sk1)))),
% 76.24/11.50 inference('cnf', [status(esa)], [zf_stmt_6])).
% 76.24/11.50 thf(zip_derived_cl216, plain, (((nil) = (sk1))),
% 76.24/11.50 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 76.24/11.50 thf(zip_derived_cl219, plain, ((((nil) != (sk2)) | ((nil) != (nil)))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl216])).
% 76.24/11.50 thf(zip_derived_cl220, plain, (((nil) != (sk2))),
% 76.24/11.50 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 76.24/11.50 thf(zip_derived_cl4734, plain, (((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2))),
% 76.24/11.50 inference('simplify_reflect-', [status(thm)],
% 76.24/11.50 [zip_derived_cl4733, zip_derived_cl220])).
% 76.24/11.50 thf(clause120, axiom,
% 76.24/11.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 76.24/11.50 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 76.24/11.50 thf(zip_derived_cl119, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssItem @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause120])).
% 76.24/11.50 thf(clause144, axiom,
% 76.24/11.50 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 76.24/11.50 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 76.24/11.50 thf(zip_derived_cl143, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.50 (((app @ X1 @ X2) != (X0))
% 76.24/11.50 | ~ (ssList @ X2)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | (frontsegP @ X0 @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause144])).
% 76.24/11.50 thf(zip_derived_cl441, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 ( (frontsegP @ (app @ X0 @ X1) @ X0)
% 76.24/11.50 | ~ (ssList @ (app @ X0 @ X1))
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ X1))),
% 76.24/11.50 inference('eq_res', [status(thm)], [zip_derived_cl143])).
% 76.24/11.50 thf(zip_derived_cl84, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause85])).
% 76.24/11.50 thf(zip_derived_cl4445, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | (frontsegP @ (app @ X0 @ X1) @ X0))),
% 76.24/11.50 inference('clc', [status(thm)], [zip_derived_cl441, zip_derived_cl84])).
% 76.24/11.50 thf(zip_derived_cl4465, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssList @ X0)
% 76.24/11.50 | ~ (ssItem @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ (cons @ X1 @ nil))
% 76.24/11.50 | (frontsegP @ (cons @ X1 @ X0) @ (cons @ X1 @ nil)))),
% 76.24/11.50 inference('s_sup+', [status(thm)],
% 76.24/11.50 [zip_derived_cl119, zip_derived_cl4445])).
% 76.24/11.50 thf(zip_derived_cl4498, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 ( (frontsegP @ (cons @ X1 @ X0) @ (cons @ X1 @ nil))
% 76.24/11.50 | ~ (ssList @ (cons @ X1 @ nil))
% 76.24/11.50 | ~ (ssItem @ X1)
% 76.24/11.50 | ~ (ssList @ X0))),
% 76.24/11.50 inference('simplify', [status(thm)], [zip_derived_cl4465])).
% 76.24/11.50 thf(clause145, axiom,
% 76.24/11.50 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 76.24/11.50 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 76.24/11.50 thf(zip_derived_cl144, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (((nil) != (X0))
% 76.24/11.50 | ((nil) != (X1))
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((app @ X0 @ X1) = (nil)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause145])).
% 76.24/11.50 thf(zip_derived_cl287, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (((app @ nil @ X0) = (nil))
% 76.24/11.50 | ~ (ssList @ nil)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ((nil) != (X0)))),
% 76.24/11.50 inference('eq_res', [status(thm)], [zip_derived_cl144])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl288, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (((app @ nil @ X0) = (nil)) | ~ (ssList @ X0) | ((nil) != (X0)))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl7])).
% 76.24/11.50 thf(zip_derived_cl289, plain,
% 76.24/11.50 ((~ (ssList @ nil) | ((app @ nil @ nil) = (nil)))),
% 76.24/11.50 inference('eq_res', [status(thm)], [zip_derived_cl288])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl290, plain, (((app @ nil @ nil) = (nil))),
% 76.24/11.50 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl7])).
% 76.24/11.50 thf(clause157, axiom,
% 76.24/11.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 76.24/11.50 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 76.24/11.50 thf(zip_derived_cl156, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.50 (~ (ssItem @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X2)
% 76.24/11.50 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause157])).
% 76.24/11.50 thf(zip_derived_cl84, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause85])).
% 76.24/11.50 thf(zip_derived_cl1288, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.50 (~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssItem @ X2)
% 76.24/11.50 | ~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ (cons @ X2 @ X1))
% 76.24/11.50 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 76.24/11.50 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 76.24/11.50 thf(zip_derived_cl1319, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.50 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 76.24/11.50 | ~ (ssList @ (cons @ X2 @ X1))
% 76.24/11.50 | ~ (ssItem @ X2)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssList @ X0))),
% 76.24/11.50 inference('simplify', [status(thm)], [zip_derived_cl1288])).
% 76.24/11.50 thf(clause86, axiom,
% 76.24/11.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 76.24/11.50 thf(zip_derived_cl85, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause86])).
% 76.24/11.50 thf(zip_derived_cl19031, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.50 (~ (ssList @ X0)
% 76.24/11.50 | ~ (ssList @ X1)
% 76.24/11.50 | ~ (ssItem @ X2)
% 76.24/11.50 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 76.24/11.50 inference('clc', [status(thm)], [zip_derived_cl1319, zip_derived_cl85])).
% 76.24/11.50 thf(zip_derived_cl19040, plain,
% 76.24/11.50 (![X0 : $i]:
% 76.24/11.50 (~ (ssList @ nil)
% 76.24/11.50 | ~ (ssList @ nil)
% 76.24/11.50 | ~ (ssItem @ X0)
% 76.24/11.50 | (ssList @ (cons @ X0 @ nil)))),
% 76.24/11.50 inference('s_sup+', [status(thm)],
% 76.24/11.50 [zip_derived_cl290, zip_derived_cl19031])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.50 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.50 thf(zip_derived_cl19086, plain,
% 76.24/11.50 (![X0 : $i]: (~ (ssItem @ X0) | (ssList @ (cons @ X0 @ nil)))),
% 76.24/11.50 inference('demod', [status(thm)],
% 76.24/11.50 [zip_derived_cl19040, zip_derived_cl7, zip_derived_cl7])).
% 76.24/11.50 thf(clause72, axiom,
% 76.24/11.50 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 76.24/11.50 thf(zip_derived_cl71, plain,
% 76.24/11.50 (![X0 : $i, X1 : $i]:
% 76.24/11.50 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 76.24/11.50 inference('cnf', [status(esa)], [clause72])).
% 76.24/11.50 thf(clause109, axiom,
% 76.24/11.50 (( ~( ssList @ U ) ) |
% 76.24/11.50 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 76.24/11.50 ( ( nil ) = ( U ) ))).
% 76.24/11.51 thf(zip_derived_cl108, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 76.24/11.51 | ((nil) = (X0)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause109])).
% 76.24/11.51 thf(clause97, axiom,
% 76.24/11.51 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 76.24/11.51 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 76.24/11.51 thf(zip_derived_cl96, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i]:
% 76.24/11.51 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause97])).
% 76.24/11.51 thf(zip_derived_cl399, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (((nil) = (X0))
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ~ (ssItem @ (skaf83 @ X0))
% 76.24/11.51 | ~ (ssList @ (skaf82 @ X0))
% 76.24/11.51 | ((hd @ X0) = (skaf83 @ X0)))),
% 76.24/11.51 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl96])).
% 76.24/11.51 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 76.24/11.51 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause12])).
% 76.24/11.51 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 76.24/11.51 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause13])).
% 76.24/11.51 thf(zip_derived_cl402, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 76.24/11.51 inference('demod', [status(thm)],
% 76.24/11.51 [zip_derived_cl399, zip_derived_cl11, zip_derived_cl12])).
% 76.24/11.51 thf(zip_derived_cl108, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 76.24/11.51 | ((nil) = (X0)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause109])).
% 76.24/11.51 thf(zip_derived_cl569, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ((nil) = (X0))
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 76.24/11.51 | ((nil) = (X0)))),
% 76.24/11.51 inference('s_sup+', [status(thm)], [zip_derived_cl402, zip_derived_cl108])).
% 76.24/11.51 thf(zip_derived_cl570, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 76.24/11.51 | ((nil) = (X0))
% 76.24/11.51 | ~ (ssList @ X0))),
% 76.24/11.51 inference('simplify', [status(thm)], [zip_derived_cl569])).
% 76.24/11.51 thf(zip_derived_cl4734, plain, (((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2))),
% 76.24/11.51 inference('simplify_reflect-', [status(thm)],
% 76.24/11.51 [zip_derived_cl4733, zip_derived_cl220])).
% 76.24/11.51 thf(zip_derived_cl73, plain,
% 76.24/11.51 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause74])).
% 76.24/11.51 thf(clause179, axiom,
% 76.24/11.51 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 76.24/11.51 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 76.24/11.51 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 76.24/11.51 thf(zip_derived_cl178, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 76.24/11.51 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 76.24/11.51 | ~ (ssList @ X4)
% 76.24/11.51 | ~ (ssList @ X3)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssItem @ X2)
% 76.24/11.51 | ~ (duplicatefreeP @ X0)
% 76.24/11.51 | ~ (ssList @ X0))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause179])).
% 76.24/11.51 thf(zip_derived_cl1761, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 76.24/11.51 (~ (ssList @ (cons @ X1 @ X0))
% 76.24/11.51 | ((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2))
% 76.24/11.51 | ~ (ssList @ X3)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ nil)
% 76.24/11.51 | ~ (ssItem @ X1)
% 76.24/11.51 | ~ (duplicatefreeP @ X2)
% 76.24/11.51 | ~ (ssList @ X2))),
% 76.24/11.51 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl178])).
% 76.24/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.51 thf(zip_derived_cl1778, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 76.24/11.51 (~ (ssList @ (cons @ X1 @ X0))
% 76.24/11.51 | ((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2))
% 76.24/11.51 | ~ (ssList @ X3)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ~ (ssItem @ X1)
% 76.24/11.51 | ~ (duplicatefreeP @ X2)
% 76.24/11.51 | ~ (ssList @ X2))),
% 76.24/11.51 inference('demod', [status(thm)], [zip_derived_cl1761, zip_derived_cl7])).
% 76.24/11.51 thf(zip_derived_cl85, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i]:
% 76.24/11.51 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause86])).
% 76.24/11.51 thf(zip_derived_cl34254, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 76.24/11.51 (~ (ssList @ X2)
% 76.24/11.51 | ~ (duplicatefreeP @ X2)
% 76.24/11.51 | ~ (ssItem @ X1)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ X3)
% 76.24/11.51 | ((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2)))),
% 76.24/11.51 inference('clc', [status(thm)], [zip_derived_cl1778, zip_derived_cl85])).
% 76.24/11.51 thf(zip_derived_cl34272, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (duplicatefreeP @ X0)
% 76.24/11.51 | ~ (ssItem @ (hd @ sk2))
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ (tl @ sk2))
% 76.24/11.51 | ((app @ (cons @ (hd @ sk2) @ X1) @ sk2) != (X0)))),
% 76.24/11.51 inference('s_sup-', [status(thm)],
% 76.24/11.51 [zip_derived_cl4734, zip_derived_cl34254])).
% 76.24/11.51 thf(zip_derived_cl785, plain, (((app @ nil @ sk2) = (sk2))),
% 76.24/11.51 inference('demod', [status(thm)], [zip_derived_cl749, zip_derived_cl780])).
% 76.24/11.51 thf(clause149, axiom,
% 76.24/11.51 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 76.24/11.51 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 76.24/11.51 thf(zip_derived_cl148, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X2)
% 76.24/11.51 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause149])).
% 76.24/11.51 thf(zip_derived_cl1177, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ sk2)
% 76.24/11.51 | ~ (ssList @ nil)
% 76.24/11.51 | ((app @ sk2 @ X0) = (app @ nil @ (app @ sk2 @ X0))))),
% 76.24/11.51 inference('s_sup+', [status(thm)], [zip_derived_cl785, zip_derived_cl148])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.51 thf(zip_derived_cl1186, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0) | ((app @ sk2 @ X0) = (app @ nil @ (app @ sk2 @ X0))))),
% 76.24/11.51 inference('demod', [status(thm)],
% 76.24/11.51 [zip_derived_cl1177, zip_derived_cl186, zip_derived_cl7])).
% 76.24/11.51 thf(zip_derived_cl148, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X2)
% 76.24/11.51 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause149])).
% 76.24/11.51 thf(zip_derived_cl84, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i]:
% 76.24/11.51 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause85])).
% 76.24/11.51 thf(zip_derived_cl1149, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.51 (~ (ssList @ X2)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ (app @ X2 @ X1))
% 76.24/11.51 | (ssList @ (app @ X2 @ (app @ X1 @ X0))))),
% 76.24/11.51 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl84])).
% 76.24/11.51 thf(zip_derived_cl1190, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.51 ( (ssList @ (app @ X2 @ (app @ X1 @ X0)))
% 76.24/11.51 | ~ (ssList @ (app @ X2 @ X1))
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X2))),
% 76.24/11.51 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 76.24/11.51 thf(zip_derived_cl84, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i]:
% 76.24/11.51 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause85])).
% 76.24/11.51 thf(zip_derived_cl13831, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.51 (~ (ssList @ X2)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | (ssList @ (app @ X2 @ (app @ X1 @ X0))))),
% 76.24/11.51 inference('clc', [status(thm)], [zip_derived_cl1190, zip_derived_cl84])).
% 76.24/11.51 thf(zip_derived_cl13835, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ nil)
% 76.24/11.51 | ~ (ssList @ sk2)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | (ssList @ (app @ sk2 @ X0)))),
% 76.24/11.51 inference('s_sup+', [status(thm)],
% 76.24/11.51 [zip_derived_cl1186, zip_derived_cl13831])).
% 76.24/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl13889, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0) | ~ (ssList @ X0) | (ssList @ (app @ sk2 @ X0)))),
% 76.24/11.51 inference('demod', [status(thm)],
% 76.24/11.51 [zip_derived_cl13835, zip_derived_cl7, zip_derived_cl186])).
% 76.24/11.51 thf(zip_derived_cl13890, plain,
% 76.24/11.51 (![X0 : $i]: ( (ssList @ (app @ sk2 @ X0)) | ~ (ssList @ X0))),
% 76.24/11.51 inference('simplify', [status(thm)], [zip_derived_cl13889])).
% 76.24/11.51 thf(zip_derived_cl785, plain, (((app @ nil @ sk2) = (sk2))),
% 76.24/11.51 inference('demod', [status(thm)], [zip_derived_cl749, zip_derived_cl780])).
% 76.24/11.51 thf(clause143, axiom,
% 76.24/11.51 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ U ) ) |
% 76.24/11.51 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( rearsegP @ W @ V ))).
% 76.24/11.51 thf(zip_derived_cl142, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.51 (((app @ X1 @ X2) != (X0))
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X2)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | (rearsegP @ X0 @ X2))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause143])).
% 76.24/11.51 thf(zip_derived_cl799, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (((sk2) != (X0))
% 76.24/11.51 | ~ (ssList @ nil)
% 76.24/11.51 | ~ (ssList @ sk2)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | (rearsegP @ X0 @ sk2))),
% 76.24/11.51 inference('s_sup-', [status(thm)], [zip_derived_cl785, zip_derived_cl142])).
% 76.24/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.24/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl817, plain,
% 76.24/11.51 (![X0 : $i]: (((sk2) != (X0)) | ~ (ssList @ X0) | (rearsegP @ X0 @ sk2))),
% 76.24/11.51 inference('demod', [status(thm)],
% 76.24/11.51 [zip_derived_cl799, zip_derived_cl7, zip_derived_cl186])).
% 76.24/11.51 thf(zip_derived_cl835, plain, (( (rearsegP @ sk2 @ sk2) | ~ (ssList @ sk2))),
% 76.24/11.51 inference('eq_res', [status(thm)], [zip_derived_cl817])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl836, plain, ( (rearsegP @ sk2 @ sk2)),
% 76.24/11.51 inference('demod', [status(thm)], [zip_derived_cl835, zip_derived_cl186])).
% 76.24/11.51 thf(zip_derived_cl135, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.51 (~ (rearsegP @ X0 @ X1)
% 76.24/11.51 | ~ (ssList @ X2)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | (rearsegP @ (app @ X2 @ X0) @ X1))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause136])).
% 76.24/11.51 thf(zip_derived_cl931, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ sk2)
% 76.24/11.51 | ~ (ssList @ sk2)
% 76.24/11.51 | (rearsegP @ (app @ X0 @ sk2) @ sk2))),
% 76.24/11.51 inference('s_sup-', [status(thm)], [zip_derived_cl836, zip_derived_cl135])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl942, plain,
% 76.24/11.51 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ (app @ X0 @ sk2) @ sk2))),
% 76.24/11.51 inference('demod', [status(thm)],
% 76.24/11.51 [zip_derived_cl931, zip_derived_cl186, zip_derived_cl186])).
% 76.24/11.51 thf(zip_derived_cl130, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i]:
% 76.24/11.51 (~ (rearsegP @ X0 @ X1)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause131])).
% 76.24/11.51 thf(zip_derived_cl993, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ sk2)
% 76.24/11.51 | ~ (ssList @ (app @ X0 @ sk2))
% 76.24/11.51 | ((app @ (skaf46 @ (app @ X0 @ sk2) @ sk2) @ sk2) = (app @ X0 @ sk2)))),
% 76.24/11.51 inference('s_sup-', [status(thm)], [zip_derived_cl942, zip_derived_cl130])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl1003, plain,
% 76.24/11.51 (![X0 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ (app @ X0 @ sk2))
% 76.24/11.51 | ((app @ (skaf46 @ (app @ X0 @ sk2) @ sk2) @ sk2) = (app @ X0 @ sk2)))),
% 76.24/11.51 inference('demod', [status(thm)], [zip_derived_cl993, zip_derived_cl186])).
% 76.24/11.51 thf(zip_derived_cl13937, plain,
% 76.24/11.51 ((~ (ssList @ sk2)
% 76.24/11.51 | ~ (ssList @ sk2)
% 76.24/11.51 | ((app @ (skaf46 @ (app @ sk2 @ sk2) @ sk2) @ sk2) = (app @ sk2 @ sk2)))),
% 76.24/11.51 inference('s_sup-', [status(thm)],
% 76.24/11.51 [zip_derived_cl13890, zip_derived_cl1003])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.24/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.24/11.51 thf(zip_derived_cl13950, plain,
% 76.24/11.51 (((app @ (skaf46 @ (app @ sk2 @ sk2) @ sk2) @ sk2) = (app @ sk2 @ sk2))),
% 76.24/11.51 inference('demod', [status(thm)],
% 76.24/11.51 [zip_derived_cl13937, zip_derived_cl186, zip_derived_cl186])).
% 76.24/11.51 thf(zip_derived_cl73, plain,
% 76.24/11.51 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause74])).
% 76.24/11.51 thf(zip_derived_cl148, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X2)
% 76.24/11.51 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 76.24/11.51 inference('cnf', [status(esa)], [clause149])).
% 76.24/11.51 thf(zip_derived_cl1175, plain,
% 76.24/11.51 (![X0 : $i, X1 : $i]:
% 76.24/11.51 (~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ X1)
% 76.24/11.51 | ~ (ssList @ X0)
% 76.24/11.51 | ~ (ssList @ nil)
% 76.45/11.51 | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 76.45/11.51 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl148])).
% 76.45/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.45/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.45/11.51 thf(zip_derived_cl1183, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 76.45/11.51 inference('demod', [status(thm)], [zip_derived_cl1175, zip_derived_cl7])).
% 76.45/11.51 thf(zip_derived_cl1184, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl1183])).
% 76.45/11.51 thf(zip_derived_cl14041, plain,
% 76.45/11.51 ((((app @ sk2 @ sk2) = (app @ nil @ (app @ sk2 @ sk2)))
% 76.45/11.51 | ~ (ssList @ sk2)
% 76.45/11.51 | ~ (ssList @ (skaf46 @ (app @ sk2 @ sk2) @ sk2)))),
% 76.45/11.51 inference('s_sup+', [status(thm)],
% 76.45/11.51 [zip_derived_cl13950, zip_derived_cl1184])).
% 76.45/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.45/11.51 thf(zip_derived_cl49, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause50])).
% 76.45/11.51 thf(zip_derived_cl14125, plain,
% 76.45/11.51 (((app @ sk2 @ sk2) = (app @ nil @ (app @ sk2 @ sk2)))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl14041, zip_derived_cl186, zip_derived_cl49])).
% 76.45/11.51 thf(zip_derived_cl148, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X2)
% 76.45/11.51 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause149])).
% 76.45/11.51 thf(zip_derived_cl122, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ((nil) = (X1))
% 76.45/11.51 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause123])).
% 76.45/11.51 thf(zip_derived_cl1150, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (~ (ssList @ X2)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ (app @ X2 @ X1))
% 76.45/11.51 | ((nil) = (app @ X2 @ X1))
% 76.45/11.51 | ((hd @ (app @ X2 @ (app @ X1 @ X0))) = (hd @ (app @ X2 @ X1))))),
% 76.45/11.51 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl122])).
% 76.45/11.51 thf(zip_derived_cl1191, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (((hd @ (app @ X2 @ (app @ X1 @ X0))) = (hd @ (app @ X2 @ X1)))
% 76.45/11.51 | ((nil) = (app @ X2 @ X1))
% 76.45/11.51 | ~ (ssList @ (app @ X2 @ X1))
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X2))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl1150])).
% 76.45/11.51 thf(zip_derived_cl84, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause85])).
% 76.45/11.51 thf(zip_derived_cl14188, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (~ (ssList @ X2)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ((nil) = (app @ X2 @ X1))
% 76.45/11.51 | ((hd @ (app @ X2 @ (app @ X1 @ X0))) = (hd @ (app @ X2 @ X1))))),
% 76.45/11.51 inference('clc', [status(thm)], [zip_derived_cl1191, zip_derived_cl84])).
% 76.45/11.51 thf(zip_derived_cl14544, plain,
% 76.45/11.51 ((~ (ssList @ nil)
% 76.45/11.51 | ~ (ssList @ sk2)
% 76.45/11.51 | ~ (ssList @ sk2)
% 76.45/11.51 | ((nil) = (app @ nil @ sk2))
% 76.45/11.51 | ((hd @ (app @ sk2 @ sk2)) = (hd @ (app @ nil @ sk2))))),
% 76.45/11.51 inference('s_sup+', [status(thm)],
% 76.45/11.51 [zip_derived_cl14125, zip_derived_cl14188])).
% 76.45/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.45/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.45/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.45/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.45/11.51 thf(zip_derived_cl785, plain, (((app @ nil @ sk2) = (sk2))),
% 76.45/11.51 inference('demod', [status(thm)], [zip_derived_cl749, zip_derived_cl780])).
% 76.45/11.51 thf(zip_derived_cl785, plain, (((app @ nil @ sk2) = (sk2))),
% 76.45/11.51 inference('demod', [status(thm)], [zip_derived_cl749, zip_derived_cl780])).
% 76.45/11.51 thf(zip_derived_cl14627, plain,
% 76.45/11.51 ((((nil) = (sk2)) | ((hd @ (app @ sk2 @ sk2)) = (hd @ sk2)))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl14544, zip_derived_cl7, zip_derived_cl186,
% 76.45/11.51 zip_derived_cl186, zip_derived_cl785, zip_derived_cl785])).
% 76.45/11.51 thf(zip_derived_cl220, plain, (((nil) != (sk2))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 76.45/11.51 thf(zip_derived_cl14628, plain, (((hd @ (app @ sk2 @ sk2)) = (hd @ sk2))),
% 76.45/11.51 inference('simplify_reflect-', [status(thm)],
% 76.45/11.51 [zip_derived_cl14627, zip_derived_cl220])).
% 76.45/11.51 thf(clause76, axiom,
% 76.45/11.51 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 76.45/11.51 thf(zip_derived_cl75, plain,
% 76.45/11.51 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause76])).
% 76.45/11.51 thf(zip_derived_cl15227, plain,
% 76.45/11.51 ((~ (ssList @ (app @ sk2 @ sk2))
% 76.45/11.51 | (ssItem @ (hd @ sk2))
% 76.45/11.51 | ((nil) = (app @ sk2 @ sk2)))),
% 76.45/11.51 inference('s_sup+', [status(thm)],
% 76.45/11.51 [zip_derived_cl14628, zip_derived_cl75])).
% 76.45/11.51 thf(zip_derived_cl13950, plain,
% 76.45/11.51 (((app @ (skaf46 @ (app @ sk2 @ sk2) @ sk2) @ sk2) = (app @ sk2 @ sk2))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl13937, zip_derived_cl186, zip_derived_cl186])).
% 76.45/11.51 thf(zip_derived_cl84, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause85])).
% 76.45/11.51 thf(zip_derived_cl14013, plain,
% 76.45/11.51 ((~ (ssList @ sk2)
% 76.45/11.51 | ~ (ssList @ (skaf46 @ (app @ sk2 @ sk2) @ sk2))
% 76.45/11.51 | (ssList @ (app @ sk2 @ sk2)))),
% 76.45/11.51 inference('s_sup+', [status(thm)],
% 76.45/11.51 [zip_derived_cl13950, zip_derived_cl84])).
% 76.45/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.45/11.51 thf(zip_derived_cl49, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause50])).
% 76.45/11.51 thf(zip_derived_cl14095, plain, ( (ssList @ (app @ sk2 @ sk2))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl14013, zip_derived_cl186, zip_derived_cl49])).
% 76.45/11.51 thf(zip_derived_cl15264, plain,
% 76.45/11.51 (( (ssItem @ (hd @ sk2)) | ((nil) = (app @ sk2 @ sk2)))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl15227, zip_derived_cl14095])).
% 76.45/11.51 thf(zip_derived_cl13950, plain,
% 76.45/11.51 (((app @ (skaf46 @ (app @ sk2 @ sk2) @ sk2) @ sk2) = (app @ sk2 @ sk2))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl13937, zip_derived_cl186, zip_derived_cl186])).
% 76.45/11.51 thf(clause119, axiom,
% 76.45/11.51 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 76.45/11.51 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 76.45/11.51 thf(zip_derived_cl118, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (((app @ X0 @ X1) != (nil))
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ((nil) = (X1)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause119])).
% 76.45/11.51 thf(zip_derived_cl14034, plain,
% 76.45/11.51 ((((app @ sk2 @ sk2) != (nil))
% 76.45/11.51 | ~ (ssList @ sk2)
% 76.45/11.51 | ~ (ssList @ (skaf46 @ (app @ sk2 @ sk2) @ sk2))
% 76.45/11.51 | ((nil) = (sk2)))),
% 76.45/11.51 inference('s_sup-', [status(thm)],
% 76.45/11.51 [zip_derived_cl13950, zip_derived_cl118])).
% 76.45/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.45/11.51 thf(zip_derived_cl49, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause50])).
% 76.45/11.51 thf(zip_derived_cl14116, plain,
% 76.45/11.51 ((((app @ sk2 @ sk2) != (nil)) | ((nil) = (sk2)))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl14034, zip_derived_cl186, zip_derived_cl49])).
% 76.45/11.51 thf(zip_derived_cl220, plain, (((nil) != (sk2))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 76.45/11.51 thf(zip_derived_cl14117, plain, (((app @ sk2 @ sk2) != (nil))),
% 76.45/11.51 inference('simplify_reflect-', [status(thm)],
% 76.45/11.51 [zip_derived_cl14116, zip_derived_cl220])).
% 76.45/11.51 thf(zip_derived_cl15265, plain, ( (ssItem @ (hd @ sk2))),
% 76.45/11.51 inference('simplify_reflect-', [status(thm)],
% 76.45/11.51 [zip_derived_cl15264, zip_derived_cl14117])).
% 76.45/11.51 thf(zip_derived_cl3889, plain, (((app @ sk2 @ nil) = (sk2))),
% 76.45/11.51 inference('demod', [status(thm)], [zip_derived_cl3888, zip_derived_cl186])).
% 76.45/11.51 thf(clause133, axiom,
% 76.45/11.51 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 76.45/11.51 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 76.45/11.51 thf(zip_derived_cl132, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ((nil) = (X1))
% 76.45/11.51 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause133])).
% 76.45/11.51 thf(zip_derived_cl3931, plain,
% 76.45/11.51 ((~ (ssList @ nil)
% 76.45/11.51 | ~ (ssList @ sk2)
% 76.45/11.51 | ((nil) = (sk2))
% 76.45/11.51 | ((tl @ sk2) = (app @ (tl @ sk2) @ nil)))),
% 76.45/11.51 inference('s_sup+', [status(thm)],
% 76.45/11.51 [zip_derived_cl3889, zip_derived_cl132])).
% 76.45/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.45/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.45/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.45/11.51 thf(zip_derived_cl3970, plain,
% 76.45/11.51 ((((nil) = (sk2)) | ((tl @ sk2) = (app @ (tl @ sk2) @ nil)))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl3931, zip_derived_cl7, zip_derived_cl186])).
% 76.45/11.51 thf(zip_derived_cl220, plain, (((nil) != (sk2))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 76.45/11.51 thf(zip_derived_cl3971, plain, (((tl @ sk2) = (app @ (tl @ sk2) @ nil))),
% 76.45/11.51 inference('simplify_reflect-', [status(thm)],
% 76.45/11.51 [zip_derived_cl3970, zip_derived_cl220])).
% 76.45/11.51 thf(zip_derived_cl132, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ((nil) = (X1))
% 76.45/11.51 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause133])).
% 76.45/11.51 thf(clause75, axiom,
% 76.45/11.51 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 76.45/11.51 thf(zip_derived_cl74, plain,
% 76.45/11.51 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause75])).
% 76.45/11.51 thf(zip_derived_cl532, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (((nil) = (X1))
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ (app @ X1 @ X0))
% 76.45/11.51 | (ssList @ (app @ (tl @ X1) @ X0))
% 76.45/11.51 | ((nil) = (app @ X1 @ X0)))),
% 76.45/11.51 inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl74])).
% 76.45/11.51 thf(zip_derived_cl84, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause85])).
% 76.45/11.51 thf(zip_derived_cl5930, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (((nil) = (app @ X1 @ X0))
% 76.45/11.51 | (ssList @ (app @ (tl @ X1) @ X0))
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ((nil) = (X1)))),
% 76.45/11.51 inference('clc', [status(thm)], [zip_derived_cl532, zip_derived_cl84])).
% 76.45/11.51 thf(zip_derived_cl117, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (((app @ X0 @ X1) != (nil))
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ((nil) = (X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause118])).
% 76.45/11.51 thf(zip_derived_cl5931, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (((nil) = (X1))
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | (ssList @ (app @ (tl @ X1) @ X0)))),
% 76.45/11.51 inference('clc', [status(thm)], [zip_derived_cl5930, zip_derived_cl117])).
% 76.45/11.51 thf(zip_derived_cl5934, plain,
% 76.45/11.51 ((((nil) = (sk2))
% 76.45/11.51 | ~ (ssList @ sk2)
% 76.45/11.51 | ~ (ssList @ nil)
% 76.45/11.51 | (ssList @ (tl @ sk2)))),
% 76.45/11.51 inference('s_sup+', [status(thm)],
% 76.45/11.51 [zip_derived_cl3971, zip_derived_cl5931])).
% 76.45/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.45/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.45/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.45/11.51 thf(zip_derived_cl5941, plain, ((((nil) = (sk2)) | (ssList @ (tl @ sk2)))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl5934, zip_derived_cl186, zip_derived_cl7])).
% 76.45/11.51 thf(zip_derived_cl220, plain, (((nil) != (sk2))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 76.45/11.51 thf(zip_derived_cl5942, plain, ( (ssList @ (tl @ sk2))),
% 76.45/11.51 inference('simplify_reflect-', [status(thm)],
% 76.45/11.51 [zip_derived_cl5941, zip_derived_cl220])).
% 76.45/11.51 thf(zip_derived_cl34304, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (duplicatefreeP @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ((app @ (cons @ (hd @ sk2) @ X1) @ sk2) != (X0)))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl34272, zip_derived_cl15265, zip_derived_cl5942])).
% 76.45/11.51 thf(zip_derived_cl50012, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (~ (ssList @ sk2)
% 76.45/11.51 | ((nil) = (sk2))
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (duplicatefreeP @ X0)
% 76.45/11.51 | ~ (ssList @ (skaf82 @ sk2))
% 76.45/11.51 | ((app @ sk2 @ sk2) != (X0)))),
% 76.45/11.51 inference('s_sup-', [status(thm)],
% 76.45/11.51 [zip_derived_cl570, zip_derived_cl34304])).
% 76.45/11.51 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_5])).
% 76.45/11.51 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause13])).
% 76.45/11.51 thf(zip_derived_cl50024, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (((nil) = (sk2))
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (duplicatefreeP @ X0)
% 76.45/11.51 | ((app @ sk2 @ sk2) != (X0)))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl50012, zip_derived_cl186, zip_derived_cl12])).
% 76.45/11.51 thf(zip_derived_cl220, plain, (((nil) != (sk2))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 76.45/11.51 thf(zip_derived_cl50025, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (duplicatefreeP @ X0)
% 76.45/11.51 | ((app @ sk2 @ sk2) != (X0)))),
% 76.45/11.51 inference('simplify_reflect-', [status(thm)],
% 76.45/11.51 [zip_derived_cl50024, zip_derived_cl220])).
% 76.45/11.51 thf(zip_derived_cl50034, plain,
% 76.45/11.51 ((~ (duplicatefreeP @ (app @ sk2 @ sk2)) | ~ (ssList @ (app @ sk2 @ sk2)))),
% 76.45/11.51 inference('eq_res', [status(thm)], [zip_derived_cl50025])).
% 76.45/11.51 thf(zip_derived_cl14095, plain, ( (ssList @ (app @ sk2 @ sk2))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl14013, zip_derived_cl186, zip_derived_cl49])).
% 76.45/11.51 thf(zip_derived_cl50035, plain, (~ (duplicatefreeP @ (app @ sk2 @ sk2))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl50034, zip_derived_cl14095])).
% 76.45/11.51 thf(zip_derived_cl50036, plain,
% 76.45/11.51 (![X0 : $i]: ( (ssItem @ X0) | ~ (ssList @ (app @ sk2 @ sk2)))),
% 76.45/11.51 inference('s_sup-', [status(thm)],
% 76.45/11.51 [zip_derived_cl71, zip_derived_cl50035])).
% 76.45/11.51 thf(zip_derived_cl14095, plain, ( (ssList @ (app @ sk2 @ sk2))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl14013, zip_derived_cl186, zip_derived_cl49])).
% 76.45/11.51 thf(zip_derived_cl50037, plain, (![X0 : $i]: (ssItem @ X0)),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl50036, zip_derived_cl14095])).
% 76.45/11.51 thf(zip_derived_cl50263, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl19086, zip_derived_cl50037])).
% 76.45/11.51 thf(zip_derived_cl50037, plain, (![X0 : $i]: (ssItem @ X0)),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl50036, zip_derived_cl14095])).
% 76.45/11.51 thf(zip_derived_cl78455, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 ( (frontsegP @ (cons @ X1 @ X0) @ (cons @ X1 @ nil)) | ~ (ssList @ X0))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl4498, zip_derived_cl50263, zip_derived_cl50037])).
% 76.45/11.51 thf(zip_derived_cl78483, plain,
% 76.45/11.51 (( (frontsegP @ sk2 @ (cons @ (hd @ sk2) @ nil))
% 76.45/11.51 | ~ (ssList @ (tl @ sk2)))),
% 76.45/11.51 inference('s_sup+', [status(thm)],
% 76.45/11.51 [zip_derived_cl4734, zip_derived_cl78455])).
% 76.45/11.51 thf(zip_derived_cl5942, plain, ( (ssList @ (tl @ sk2))),
% 76.45/11.51 inference('simplify_reflect-', [status(thm)],
% 76.45/11.51 [zip_derived_cl5941, zip_derived_cl220])).
% 76.45/11.51 thf(zip_derived_cl78492, plain,
% 76.45/11.51 ( (frontsegP @ sk2 @ (cons @ (hd @ sk2) @ nil))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl78483, zip_derived_cl5942])).
% 76.45/11.51 thf(clause100, axiom,
% 76.45/11.51 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 76.45/11.51 ( ( V ) = ( U ) ))).
% 76.45/11.51 thf(zip_derived_cl99, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause100])).
% 76.45/11.51 thf(co1_9, conjecture,
% 76.45/11.51 (~( ( ~( totalorderedP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) |
% 76.45/11.51 ( ~( frontsegP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) |
% 76.45/11.51 ( ~( ssList @ A ) ) ))).
% 76.45/11.51 thf(zf_stmt_7, negated_conjecture,
% 76.45/11.51 (( ~( totalorderedP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) |
% 76.45/11.51 ( ~( frontsegP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) |
% 76.45/11.51 ( ~( ssList @ A ) )),
% 76.45/11.51 inference('cnf.neg', [status(esa)], [co1_9])).
% 76.45/11.51 thf(zip_derived_cl193, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (~ (totalorderedP @ X0)
% 76.45/11.51 | ~ (segmentP @ X0 @ sk3)
% 76.45/11.51 | ~ (frontsegP @ sk4 @ X0)
% 76.45/11.51 | ~ (neq @ sk3 @ X0)
% 76.45/11.51 | ~ (ssList @ X0))),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_7])).
% 76.45/11.51 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 76.45/11.51 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 76.45/11.51 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 76.45/11.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 76.45/11.51 thf(zip_derived_cl202, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (~ (totalorderedP @ X0)
% 76.45/11.51 | ~ (segmentP @ X0 @ sk1)
% 76.45/11.51 | ~ (frontsegP @ sk2 @ X0)
% 76.45/11.51 | ~ (neq @ sk1 @ X0)
% 76.45/11.51 | ~ (ssList @ X0))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl193, zip_derived_cl190, zip_derived_cl189,
% 76.45/11.51 zip_derived_cl190])).
% 76.45/11.51 thf(zip_derived_cl216, plain, (((nil) = (sk1))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 76.45/11.51 thf(zip_derived_cl216, plain, (((nil) = (sk1))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 76.45/11.51 thf(zip_derived_cl265, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (~ (totalorderedP @ X0)
% 76.45/11.51 | ~ (segmentP @ X0 @ nil)
% 76.45/11.51 | ~ (frontsegP @ sk2 @ X0)
% 76.45/11.51 | ~ (neq @ nil @ X0)
% 76.45/11.51 | ~ (ssList @ X0))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl202, zip_derived_cl216, zip_derived_cl216])).
% 76.45/11.51 thf(zip_derived_cl55, plain,
% 76.45/11.51 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause56])).
% 76.45/11.51 thf(zip_derived_cl266, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (neq @ nil @ X0)
% 76.45/11.51 | ~ (frontsegP @ sk2 @ X0)
% 76.45/11.51 | ~ (totalorderedP @ X0))),
% 76.45/11.51 inference('clc', [status(thm)], [zip_derived_cl265, zip_derived_cl55])).
% 76.45/11.51 thf(zip_derived_cl269, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (((nil) = (X0))
% 76.45/11.51 | ~ (ssList @ nil)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (frontsegP @ sk2 @ X0)
% 76.45/11.51 | ~ (totalorderedP @ X0))),
% 76.45/11.51 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl266])).
% 76.45/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.45/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.45/11.51 thf(zip_derived_cl272, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (((nil) = (X0))
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (frontsegP @ sk2 @ X0)
% 76.45/11.51 | ~ (totalorderedP @ X0))),
% 76.45/11.51 inference('demod', [status(thm)], [zip_derived_cl269, zip_derived_cl7])).
% 76.45/11.51 thf(zip_derived_cl273, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (~ (totalorderedP @ X0)
% 76.45/11.51 | ~ (frontsegP @ sk2 @ X0)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ((nil) = (X0)))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl272])).
% 76.45/11.51 thf(zip_derived_cl78511, plain,
% 76.45/11.51 ((~ (totalorderedP @ (cons @ (hd @ sk2) @ nil))
% 76.45/11.51 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 76.45/11.51 | ((nil) = (cons @ (hd @ sk2) @ nil)))),
% 76.45/11.51 inference('s_sup-', [status(thm)],
% 76.45/11.51 [zip_derived_cl78492, zip_derived_cl273])).
% 76.45/11.51 thf(clause67, axiom,
% 76.45/11.51 (( ~( ssItem @ U ) ) | ( totalorderedP @ ( cons @ U @ nil ) ))).
% 76.45/11.51 thf(zip_derived_cl66, plain,
% 76.45/11.51 (![X0 : $i]: (~ (ssItem @ X0) | (totalorderedP @ (cons @ X0 @ nil)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause67])).
% 76.45/11.51 thf(zip_derived_cl50037, plain, (![X0 : $i]: (ssItem @ X0)),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl50036, zip_derived_cl14095])).
% 76.45/11.51 thf(zip_derived_cl50044, plain,
% 76.45/11.51 (![X0 : $i]: (totalorderedP @ (cons @ X0 @ nil))),
% 76.45/11.51 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl50037])).
% 76.45/11.51 thf(zip_derived_cl50263, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl19086, zip_derived_cl50037])).
% 76.45/11.51 thf(zip_derived_cl78521, plain, (((nil) = (cons @ (hd @ sk2) @ nil))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl78511, zip_derived_cl50044, zip_derived_cl50263])).
% 76.45/11.51 thf(zip_derived_cl290, plain, (((app @ nil @ nil) = (nil))),
% 76.45/11.51 inference('demod', [status(thm)], [zip_derived_cl289, zip_derived_cl7])).
% 76.45/11.51 thf(zip_derived_cl156, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (~ (ssItem @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X2)
% 76.45/11.51 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause157])).
% 76.45/11.51 thf(zip_derived_cl117, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (((app @ X0 @ X1) != (nil))
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ((nil) = (X0)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause118])).
% 76.45/11.51 thf(zip_derived_cl1291, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssItem @ X2)
% 76.45/11.51 | ((cons @ X2 @ (app @ X1 @ X0)) != (nil))
% 76.45/11.51 | ~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ (cons @ X2 @ X1))
% 76.45/11.51 | ((nil) = (cons @ X2 @ X1)))),
% 76.45/11.51 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl117])).
% 76.45/11.51 thf(zip_derived_cl1322, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (((nil) = (cons @ X2 @ X1))
% 76.45/11.51 | ~ (ssList @ (cons @ X2 @ X1))
% 76.45/11.51 | ((cons @ X2 @ (app @ X1 @ X0)) != (nil))
% 76.45/11.51 | ~ (ssItem @ X2)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0))),
% 76.45/11.51 inference('simplify', [status(thm)], [zip_derived_cl1291])).
% 76.45/11.51 thf(clause98, axiom,
% 76.45/11.51 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 76.45/11.51 ( ~( ssList @ V ) ))).
% 76.45/11.51 thf(zip_derived_cl97, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause98])).
% 76.45/11.51 thf(zip_derived_cl19437, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (~ (ssList @ X0)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssItem @ X2)
% 76.45/11.51 | ((cons @ X2 @ (app @ X1 @ X0)) != (nil))
% 76.45/11.51 | ~ (ssList @ (cons @ X2 @ X1)))),
% 76.45/11.51 inference('clc', [status(thm)], [zip_derived_cl1322, zip_derived_cl97])).
% 76.45/11.51 thf(zip_derived_cl85, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i]:
% 76.45/11.51 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 76.45/11.51 inference('cnf', [status(esa)], [clause86])).
% 76.45/11.51 thf(zip_derived_cl19438, plain,
% 76.45/11.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 76.45/11.51 (((cons @ X2 @ (app @ X1 @ X0)) != (nil))
% 76.45/11.51 | ~ (ssItem @ X2)
% 76.45/11.51 | ~ (ssList @ X1)
% 76.45/11.51 | ~ (ssList @ X0))),
% 76.45/11.51 inference('clc', [status(thm)], [zip_derived_cl19437, zip_derived_cl85])).
% 76.45/11.51 thf(zip_derived_cl19447, plain,
% 76.45/11.51 (![X0 : $i]:
% 76.45/11.51 (((cons @ X0 @ nil) != (nil))
% 76.45/11.51 | ~ (ssItem @ X0)
% 76.45/11.51 | ~ (ssList @ nil)
% 76.45/11.51 | ~ (ssList @ nil))),
% 76.45/11.51 inference('s_sup-', [status(thm)],
% 76.45/11.51 [zip_derived_cl290, zip_derived_cl19438])).
% 76.45/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.45/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.45/11.51 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 76.45/11.51 inference('cnf', [status(esa)], [clause8])).
% 76.45/11.51 thf(zip_derived_cl19493, plain,
% 76.45/11.51 (![X0 : $i]: (((cons @ X0 @ nil) != (nil)) | ~ (ssItem @ X0))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl19447, zip_derived_cl7, zip_derived_cl7])).
% 76.45/11.51 thf(zip_derived_cl50037, plain, (![X0 : $i]: (ssItem @ X0)),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl50036, zip_derived_cl14095])).
% 76.45/11.51 thf(zip_derived_cl50272, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 76.45/11.51 inference('demod', [status(thm)],
% 76.45/11.51 [zip_derived_cl19493, zip_derived_cl50037])).
% 76.45/11.51 thf(zip_derived_cl78522, plain, ($false),
% 76.45/11.51 inference('simplify_reflect-', [status(thm)],
% 76.45/11.51 [zip_derived_cl78521, zip_derived_cl50272])).
% 76.45/11.51
% 76.45/11.51 % SZS output end Refutation
% 76.45/11.51
% 76.45/11.51
% 76.45/11.51 % Terminating...
% 76.60/11.58 % Runner terminated.
% 76.60/11.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------