%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC099-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UgSBMTyAnG true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:58:36 PM UTC 2025
% Result : Unsatisfiable 232.05s 53.71s
% Output : Refutation 232.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/1.06 % Problem : SWC099-1 : TPTP v9.2.0. Released v2.4.0.
% 0.08/1.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UgSBMTyAnG true
% 0.11/1.54 % Computer : n024.cluster.edu
% 0.11/1.54 % Model : x86_64 x86_64
% 0.11/1.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.54 % Memory : 8042.1875MB
% 0.11/1.54 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.54 % CPULimit : 300
% 0.11/1.54 % WCLimit : 300
% 0.11/1.54 % DateTime : Wed Oct 1 17:14:24 EDT 2025
% 0.11/1.56 % CPUTime :
% 0.11/1.56 % Running portfolio for 300 s
% 0.11/1.56 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/1.57 % Number of cores: 8
% 0.11/1.59 % Python version: Python 3.6.8
% 0.11/1.61 % Running in FO mode
% 0.22/2.13 % Total configuration time : 435
% 0.22/2.13 % Estimated wc time : 1092
% 0.22/2.13 % Estimated cpu time (7 cpus) : 156.0
% 0.80/2.40 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.80/2.46 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.80/2.48 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.81/2.50 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.81/2.51 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.81/2.52 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.81/2.53 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 222.82/52.40 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 222.82/52.42 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 223.87/52.54 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 232.05/53.71 % Solved by fo/fo8.sh.
% 232.05/53.71 % done 1632 iterations in 1.122s
% 232.05/53.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 232.05/53.71 % SZS output start Refutation
% 232.05/53.71 thf(nil_type, type, nil: $i).
% 232.05/53.71 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 232.05/53.71 thf(cons_type, type, cons: $i > $i > $i).
% 232.05/53.71 thf(sk2_type, type, sk2: $i).
% 232.05/53.71 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 232.05/53.71 thf(equalelemsP_type, type, equalelemsP: $i > $o).
% 232.05/53.71 thf(sk4_type, type, sk4: $i).
% 232.05/53.71 thf(tl_type, type, tl: $i > $i).
% 232.05/53.71 thf(hd_type, type, hd: $i > $i).
% 232.05/53.71 thf(ssItem_type, type, ssItem: $i > $o).
% 232.05/53.71 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 232.05/53.71 thf(skaf44_type, type, skaf44: $i > $i).
% 232.05/53.71 thf(skaf82_type, type, skaf82: $i > $i).
% 232.05/53.71 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 232.05/53.71 thf(sk3_type, type, sk3: $i).
% 232.05/53.71 thf(skaf83_type, type, skaf83: $i > $i).
% 232.05/53.71 thf(neq_type, type, neq: $i > $i > $o).
% 232.05/53.71 thf(app_type, type, app: $i > $i > $i).
% 232.05/53.71 thf(ssList_type, type, ssList: $i > $o).
% 232.05/53.71 thf(sk1_type, type, sk1: $i).
% 232.05/53.71 thf(singletonP_type, type, singletonP: $i > $o).
% 232.05/53.71 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 232.05/53.71 thf(co1_12, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 232.05/53.71 thf(zf_stmt_0, negated_conjecture,
% 232.05/53.71 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_12])).
% 232.05/53.71 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 232.05/53.71 thf(clause100, axiom,
% 232.05/53.71 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 232.05/53.71 ( ( V ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl99, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause100])).
% 232.05/53.71 thf(co1_11, conjecture,
% 232.05/53.71 (~( ( ~( frontsegP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 232.05/53.71 ( ( nil ) = ( sk2 ) ) ))).
% 232.05/53.71 thf(zf_stmt_1, negated_conjecture,
% 232.05/53.71 (( ~( frontsegP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 232.05/53.71 ( ( nil ) = ( sk2 ) )),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_11])).
% 232.05/53.71 thf(zip_derived_cl195, plain,
% 232.05/53.71 ((~ (frontsegP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil) | ((nil) = (sk2)))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 232.05/53.71 thf(co1_7, conjecture, (~( frontsegP @ sk4 @ sk3 ))).
% 232.05/53.71 thf(zf_stmt_2, negated_conjecture, (frontsegP @ sk4 @ sk3),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_7])).
% 232.05/53.71 thf(zip_derived_cl191, plain, ( (frontsegP @ sk4 @ sk3)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_2])).
% 232.05/53.71 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 232.05/53.71 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_5])).
% 232.05/53.71 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_3])).
% 232.05/53.71 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 232.05/53.71 thf(zf_stmt_4, negated_conjecture, (( sk1 ) = ( sk3 )),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_6])).
% 232.05/53.71 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_4])).
% 232.05/53.71 thf(zip_derived_cl201, plain, ( (frontsegP @ sk2 @ sk1)),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 232.05/53.71 thf(zip_derived_cl203, plain, ((~ (neq @ sk1 @ nil) | ((nil) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl201])).
% 232.05/53.71 thf(zip_derived_cl262, plain,
% 232.05/53.71 ((((sk1) = (nil)) | ~ (ssList @ sk1) | ~ (ssList @ nil) | ((nil) = (sk2)))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl203])).
% 232.05/53.71 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 232.05/53.71 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_1])).
% 232.05/53.71 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_5])).
% 232.05/53.71 thf(clause8, axiom, (ssList @ nil)).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl266, plain, ((((sk1) = (nil)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl262, zip_derived_cl185, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl201, plain, ( (frontsegP @ sk2 @ sk1)),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 232.05/53.71 thf(zip_derived_cl270, plain, ((((sk1) = (nil)) | (frontsegP @ nil @ sk1))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl201])).
% 232.05/53.71 thf(clause84, axiom,
% 232.05/53.71 (( ~( frontsegP @ nil @ U ) ) | ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl83, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (frontsegP @ nil @ X0) | ~ (ssList @ X0) | ((nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause84])).
% 232.05/53.71 thf(zip_derived_cl272, plain,
% 232.05/53.71 ((((sk1) = (nil)) | ~ (ssList @ sk1) | ((nil) = (sk1)))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl270, zip_derived_cl83])).
% 232.05/53.71 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_5])).
% 232.05/53.71 thf(zip_derived_cl273, plain, ((((sk1) = (nil)) | ((nil) = (sk1)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl272, zip_derived_cl185])).
% 232.05/53.71 thf(zip_derived_cl274, plain, (((sk1) = (nil))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 232.05/53.71 thf(zip_derived_cl277, plain, (( (neq @ sk2 @ nil) | ((nil) != (nil)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl196, zip_derived_cl274])).
% 232.05/53.71 thf(zip_derived_cl278, plain, ( (neq @ sk2 @ nil)),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl277])).
% 232.05/53.71 thf(clause64, axiom,
% 232.05/53.71 (( ~( ssItem @ U ) ) | ( equalelemsP @ ( cons @ U @ nil ) ))).
% 232.05/53.71 thf(zip_derived_cl63, plain,
% 232.05/53.71 (![X0 : $i]: (~ (ssItem @ X0) | (equalelemsP @ (cons @ X0 @ nil)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause64])).
% 232.05/53.71 thf(clause109, axiom,
% 232.05/53.71 (( ~( ssList @ U ) ) |
% 232.05/53.71 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 232.05/53.71 ( ( nil ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl108, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 232.05/53.71 | ((nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause109])).
% 232.05/53.71 thf(clause96, axiom,
% 232.05/53.71 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 232.05/53.71 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 232.05/53.71 thf(zip_derived_cl95, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause96])).
% 232.05/53.71 thf(zip_derived_cl640, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssItem @ (skaf83 @ X0))
% 232.05/53.71 | ~ (ssList @ (skaf82 @ X0))
% 232.05/53.71 | ((tl @ X0) = (skaf82 @ X0)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl95])).
% 232.05/53.71 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 232.05/53.71 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause12])).
% 232.05/53.71 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 232.05/53.71 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause13])).
% 232.05/53.71 thf(zip_derived_cl645, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (X0)) | ~ (ssList @ X0) | ((tl @ X0) = (skaf82 @ X0)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl640, zip_derived_cl11, zip_derived_cl12])).
% 232.05/53.71 thf(clause76, axiom,
% 232.05/53.71 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl75, plain,
% 232.05/53.71 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause76])).
% 232.05/53.71 thf(clause58, axiom, (( ~( ssList @ U ) ) | ( rearsegP @ U @ nil ))).
% 232.05/53.71 thf(zip_derived_cl57, plain,
% 232.05/53.71 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ nil))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause58])).
% 232.05/53.71 thf(clause131, axiom,
% 232.05/53.71 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 232.05/53.71 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl130, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (rearsegP @ X0 @ X1)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause131])).
% 232.05/53.71 thf(zip_derived_cl1098, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ nil)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl130])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl1103, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl1098, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl1104, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)) | ~ (ssList @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl1103])).
% 232.05/53.71 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl72, plain,
% 232.05/53.71 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause73])).
% 232.05/53.71 thf(zip_derived_cl1288, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ (skaf46 @ X0 @ nil))
% 232.05/53.71 | ((X0) = (skaf46 @ X0 @ nil)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl1104, zip_derived_cl72])).
% 232.05/53.71 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 232.05/53.71 thf(zip_derived_cl49, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause50])).
% 232.05/53.71 thf(zip_derived_cl1308, plain,
% 232.05/53.71 (![X0 : $i]: (~ (ssList @ X0) | ((X0) = (skaf46 @ X0 @ nil)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl1288, zip_derived_cl49])).
% 232.05/53.71 thf(zip_derived_cl201, plain, ( (frontsegP @ sk2 @ sk1)),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 232.05/53.71 thf(zip_derived_cl274, plain, (((sk1) = (nil))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 232.05/53.71 thf(zip_derived_cl280, plain, ( (frontsegP @ sk2 @ nil)),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl274])).
% 232.05/53.71 thf(clause132, axiom,
% 232.05/53.71 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 232.05/53.71 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl131, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (frontsegP @ X0 @ X1)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause132])).
% 232.05/53.71 thf(zip_derived_cl693, plain,
% 232.05/53.71 ((~ (ssList @ nil)
% 232.05/53.71 | ~ (ssList @ sk2)
% 232.05/53.71 | ((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2)))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl280, zip_derived_cl131])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 232.05/53.71 thf(zf_stmt_6, negated_conjecture, (ssList @ sk2),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_2])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl698, plain, (((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl693, zip_derived_cl7, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl698, plain, (((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl693, zip_derived_cl7, zip_derived_cl186])).
% 232.05/53.71 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl73, plain,
% 232.05/53.71 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause74])).
% 232.05/53.71 thf(zip_derived_cl752, plain,
% 232.05/53.71 ((~ (ssList @ (skaf45 @ sk2 @ nil)) | ((sk2) = (skaf45 @ sk2 @ nil)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl698, zip_derived_cl73])).
% 232.05/53.71 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 232.05/53.71 thf(zip_derived_cl50, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause51])).
% 232.05/53.71 thf(zip_derived_cl766, plain, (((sk2) = (skaf45 @ sk2 @ nil))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl752, zip_derived_cl50])).
% 232.05/53.71 thf(zip_derived_cl769, plain, (((app @ nil @ sk2) = (sk2))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl698, zip_derived_cl766])).
% 232.05/53.71 thf(zip_derived_cl57, plain,
% 232.05/53.71 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ nil))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause58])).
% 232.05/53.71 thf(clause136, axiom,
% 232.05/53.71 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) |
% 232.05/53.71 ( ~( ssList @ U ) ) | ( rearsegP @ ( app @ W @ U ) @ V ))).
% 232.05/53.71 thf(zip_derived_cl135, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (~ (rearsegP @ X0 @ X1)
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (rearsegP @ (app @ X2 @ X0) @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause136])).
% 232.05/53.71 thf(zip_derived_cl1263, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ nil)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (rearsegP @ (app @ X1 @ X0) @ nil))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl135])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl1268, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (rearsegP @ (app @ X1 @ X0) @ nil))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl1263, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl1269, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 ( (rearsegP @ (app @ X1 @ X0) @ nil)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl1268])).
% 232.05/53.71 thf(zip_derived_cl2313, plain,
% 232.05/53.71 (( (rearsegP @ sk2 @ nil) | ~ (ssList @ nil) | ~ (ssList @ sk2))),
% 232.05/53.71 inference('s_sup+', [status(thm)],
% 232.05/53.71 [zip_derived_cl769, zip_derived_cl1269])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl2327, plain, ( (rearsegP @ sk2 @ nil)),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl2313, zip_derived_cl7, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl130, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (rearsegP @ X0 @ X1)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause131])).
% 232.05/53.71 thf(zip_derived_cl2339, plain,
% 232.05/53.71 ((~ (ssList @ nil)
% 232.05/53.71 | ~ (ssList @ sk2)
% 232.05/53.71 | ((app @ (skaf46 @ sk2 @ nil) @ nil) = (sk2)))),
% 232.05/53.71 inference('s_sup-', [status(thm)],
% 232.05/53.71 [zip_derived_cl2327, zip_derived_cl130])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl2343, plain,
% 232.05/53.71 (((app @ (skaf46 @ sk2 @ nil) @ nil) = (sk2))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl2339, zip_derived_cl7, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl2380, plain,
% 232.05/53.71 ((~ (ssList @ sk2) | ((app @ sk2 @ nil) = (sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)],
% 232.05/53.71 [zip_derived_cl1308, zip_derived_cl2343])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl2381, plain, (((app @ sk2 @ nil) = (sk2))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl2380, zip_derived_cl186])).
% 232.05/53.71 thf(clause123, axiom,
% 232.05/53.71 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 232.05/53.71 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 232.05/53.71 thf(zip_derived_cl122, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ((nil) = (X1))
% 232.05/53.71 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause123])).
% 232.05/53.71 thf(zip_derived_cl108, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 232.05/53.71 | ((nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause109])).
% 232.05/53.71 thf(clause97, axiom,
% 232.05/53.71 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 232.05/53.71 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl96, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause97])).
% 232.05/53.71 thf(zip_derived_cl641, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssItem @ (skaf83 @ X0))
% 232.05/53.71 | ~ (ssList @ (skaf82 @ X0))
% 232.05/53.71 | ((hd @ X0) = (skaf83 @ X0)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl96])).
% 232.05/53.71 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause12])).
% 232.05/53.71 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause13])).
% 232.05/53.71 thf(zip_derived_cl646, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl641, zip_derived_cl11, zip_derived_cl12])).
% 232.05/53.71 thf(zip_derived_cl108, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 232.05/53.71 | ((nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause109])).
% 232.05/53.71 thf(zip_derived_cl655, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 232.05/53.71 | ((nil) = (X0)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl646, zip_derived_cl108])).
% 232.05/53.71 thf(zip_derived_cl656, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 232.05/53.71 | ((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl655])).
% 232.05/53.71 thf(zip_derived_cl923, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ((cons @ (hd @ X0) @ (skaf82 @ (app @ X0 @ X1))) = (app @ X0 @ X1))
% 232.05/53.71 | ((nil) = (app @ X0 @ X1))
% 232.05/53.71 | ~ (ssList @ (app @ X0 @ X1)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl656])).
% 232.05/53.71 thf(clause118, axiom,
% 232.05/53.71 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 232.05/53.71 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl117, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (((app @ X0 @ X1) != (nil))
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause118])).
% 232.05/53.71 thf(zip_derived_cl6514, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ (app @ X0 @ X1))
% 232.05/53.71 | ((cons @ (hd @ X0) @ (skaf82 @ (app @ X0 @ X1))) = (app @ X0 @ X1))
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((nil) = (X0)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl923, zip_derived_cl117])).
% 232.05/53.71 thf(clause85, axiom,
% 232.05/53.71 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 232.05/53.71 thf(zip_derived_cl84, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause85])).
% 232.05/53.71 thf(zip_derived_cl6515, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ((cons @ (hd @ X0) @ (skaf82 @ (app @ X0 @ X1))) = (app @ X0 @ X1)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl6514, zip_derived_cl84])).
% 232.05/53.71 thf(zip_derived_cl6585, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ sk2)
% 232.05/53.71 | ~ (ssList @ nil)
% 232.05/53.71 | ((cons @ (hd @ sk2) @ (skaf82 @ sk2)) = (sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)],
% 232.05/53.71 [zip_derived_cl2381, zip_derived_cl6515])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl6614, plain,
% 232.05/53.71 ((((nil) = (sk2)) | ((cons @ (hd @ sk2) @ (skaf82 @ sk2)) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl6585, zip_derived_cl186, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl95, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause96])).
% 232.05/53.71 thf(zip_derived_cl6867, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssItem @ (hd @ sk2))
% 232.05/53.71 | ~ (ssList @ (skaf82 @ sk2))
% 232.05/53.71 | ((tl @ sk2) = (skaf82 @ sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl6614, zip_derived_cl95])).
% 232.05/53.71 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause13])).
% 232.05/53.71 thf(zip_derived_cl6912, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssItem @ (hd @ sk2))
% 232.05/53.71 | ((tl @ sk2) = (skaf82 @ sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl6867, zip_derived_cl12])).
% 232.05/53.71 thf(zip_derived_cl6956, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ sk2)
% 232.05/53.71 | ((nil) = (sk2))
% 232.05/53.71 | ((tl @ sk2) = (skaf82 @ sk2)))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl6912])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl6957, plain,
% 232.05/53.71 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((tl @ sk2) = (skaf82 @ sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl6956, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl6958, plain,
% 232.05/53.71 ((((tl @ sk2) = (skaf82 @ sk2)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl6957])).
% 232.05/53.71 thf(zip_derived_cl108, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 232.05/53.71 | ((nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause109])).
% 232.05/53.71 thf(zip_derived_cl6960, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ sk2)
% 232.05/53.71 | ((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)],
% 232.05/53.71 [zip_derived_cl6958, zip_derived_cl108])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl6965, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl6960, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl6966, plain,
% 232.05/53.71 ((((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl6965])).
% 232.05/53.71 thf(zip_derived_cl96, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause97])).
% 232.05/53.71 thf(zip_derived_cl656, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 232.05/53.71 | ((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl655])).
% 232.05/53.71 thf(zip_derived_cl679, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X1)
% 232.05/53.71 | ~ (ssItem @ X0)
% 232.05/53.71 | ((cons @ X0 @ (skaf82 @ (cons @ X0 @ X1))) = (cons @ X0 @ X1))
% 232.05/53.71 | ((nil) = (cons @ X0 @ X1))
% 232.05/53.71 | ~ (ssList @ (cons @ X0 @ X1)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl656])).
% 232.05/53.71 thf(clause98, axiom,
% 232.05/53.71 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 232.05/53.71 ( ~( ssList @ V ) ))).
% 232.05/53.71 thf(zip_derived_cl97, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause98])).
% 232.05/53.71 thf(zip_derived_cl4865, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ (cons @ X0 @ X1))
% 232.05/53.71 | ((cons @ X0 @ (skaf82 @ (cons @ X0 @ X1))) = (cons @ X0 @ X1))
% 232.05/53.71 | ~ (ssItem @ X0)
% 232.05/53.71 | ~ (ssList @ X1))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl679, zip_derived_cl97])).
% 232.05/53.71 thf(clause86, axiom,
% 232.05/53.71 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 232.05/53.71 thf(zip_derived_cl85, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause86])).
% 232.05/53.71 thf(zip_derived_cl4866, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X1)
% 232.05/53.71 | ~ (ssItem @ X0)
% 232.05/53.71 | ((cons @ X0 @ (skaf82 @ (cons @ X0 @ X1))) = (cons @ X0 @ X1)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl4865, zip_derived_cl85])).
% 232.05/53.71 thf(zip_derived_cl6993, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ (tl @ sk2))
% 232.05/53.71 | ~ (ssItem @ (skaf83 @ sk2))
% 232.05/53.71 | ((cons @ (skaf83 @ sk2) @ (skaf82 @ sk2)) = (sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)],
% 232.05/53.71 [zip_derived_cl6966, zip_derived_cl4866])).
% 232.05/53.71 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause12])).
% 232.05/53.71 thf(zip_derived_cl7038, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ (tl @ sk2))
% 232.05/53.71 | ((cons @ (skaf83 @ sk2) @ (skaf82 @ sk2)) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl6993, zip_derived_cl11])).
% 232.05/53.71 thf(zip_derived_cl6958, plain,
% 232.05/53.71 ((((tl @ sk2) = (skaf82 @ sk2)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl6957])).
% 232.05/53.71 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause13])).
% 232.05/53.71 thf(zip_derived_cl6959, plain, ((((nil) = (sk2)) | (ssList @ (tl @ sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl6958, zip_derived_cl12])).
% 232.05/53.71 thf(zip_derived_cl7098, plain,
% 232.05/53.71 ((((cons @ (skaf83 @ sk2) @ (skaf82 @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl7038, zip_derived_cl6959])).
% 232.05/53.71 thf(clause120, axiom,
% 232.05/53.71 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 232.05/53.71 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 232.05/53.71 thf(zip_derived_cl119, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause120])).
% 232.05/53.71 thf(clause143, axiom,
% 232.05/53.71 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ U ) ) |
% 232.05/53.71 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( rearsegP @ W @ V ))).
% 232.05/53.71 thf(zip_derived_cl142, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (((app @ X1 @ X2) != (X0))
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (rearsegP @ X0 @ X2))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause143])).
% 232.05/53.71 thf(zip_derived_cl808, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssItem @ X1)
% 232.05/53.71 | ((cons @ X1 @ X0) != (X2))
% 232.05/53.71 | ~ (ssList @ (cons @ X1 @ nil))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | (rearsegP @ X2 @ X0))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl142])).
% 232.05/53.71 thf(zip_derived_cl824, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 ( (rearsegP @ X2 @ X0)
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | ~ (ssList @ (cons @ X1 @ nil))
% 232.05/53.71 | ((cons @ X1 @ X0) != (X2))
% 232.05/53.71 | ~ (ssItem @ X1)
% 232.05/53.71 | ~ (ssList @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl808])).
% 232.05/53.71 thf(zip_derived_cl85, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause86])).
% 232.05/53.71 thf(clause101, axiom,
% 232.05/53.71 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 232.05/53.71 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 232.05/53.71 thf(zip_derived_cl100, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (singletonP @ X0)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause101])).
% 232.05/53.71 thf(zip_derived_cl96, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause97])).
% 232.05/53.71 thf(zip_derived_cl544, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (singletonP @ X0)
% 232.05/53.71 | ~ (ssItem @ (skaf44 @ X0))
% 232.05/53.71 | ~ (ssList @ nil)
% 232.05/53.71 | ((hd @ X0) = (skaf44 @ X0)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl96])).
% 232.05/53.71 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 232.05/53.71 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause47])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl545, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0) | ~ (singletonP @ X0) | ((hd @ X0) = (skaf44 @ X0)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl544, zip_derived_cl46, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl100, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (singletonP @ X0)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause101])).
% 232.05/53.71 thf(zip_derived_cl550, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (singletonP @ X0)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (singletonP @ X0)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((cons @ (hd @ X0) @ nil) = (X0)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl545, zip_derived_cl100])).
% 232.05/53.71 thf(zip_derived_cl551, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((cons @ (hd @ X0) @ nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (singletonP @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl550])).
% 232.05/53.71 thf(zip_derived_cl85, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause86])).
% 232.05/53.71 thf(clause116, axiom,
% 232.05/53.71 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 232.05/53.71 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 232.05/53.71 thf(zip_derived_cl115, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (((cons @ X1 @ nil) != (X0))
% 232.05/53.71 | ~ (ssItem @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (singletonP @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause116])).
% 232.05/53.71 thf(zip_derived_cl259, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 ( (singletonP @ (cons @ X0 @ nil))
% 232.05/53.71 | ~ (ssList @ (cons @ X0 @ nil))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('eq_res', [status(thm)], [zip_derived_cl115])).
% 232.05/53.71 thf(zip_derived_cl331, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ nil)
% 232.05/53.71 | ~ (ssItem @ X0)
% 232.05/53.71 | (singletonP @ (cons @ X0 @ nil))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl259])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl332, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | (singletonP @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl331, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl333, plain,
% 232.05/53.71 (![X0 : $i]: ( (singletonP @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl332])).
% 232.05/53.71 thf(zip_derived_cl554, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ (cons @ X0 @ nil))
% 232.05/53.71 | ((cons @ (hd @ (cons @ X0 @ nil)) @ nil) = (cons @ X0 @ nil))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl551, zip_derived_cl333])).
% 232.05/53.71 thf(zip_derived_cl568, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ nil)
% 232.05/53.71 | ~ (ssItem @ X0)
% 232.05/53.71 | ((cons @ (hd @ (cons @ X0 @ nil)) @ nil) = (cons @ X0 @ nil))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl554])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl570, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssItem @ X0)
% 232.05/53.71 | ((cons @ (hd @ (cons @ X0 @ nil)) @ nil) = (cons @ X0 @ nil))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl568, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl571, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((cons @ (hd @ (cons @ X0 @ nil)) @ nil) = (cons @ X0 @ nil))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl570])).
% 232.05/53.71 thf(zip_derived_cl85, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause86])).
% 232.05/53.71 thf(zip_derived_cl574, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssItem @ X0)
% 232.05/53.71 | ~ (ssItem @ (hd @ (cons @ X0 @ nil)))
% 232.05/53.71 | ~ (ssList @ nil)
% 232.05/53.71 | (ssList @ (cons @ X0 @ nil)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl571, zip_derived_cl85])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl598, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssItem @ X0)
% 232.05/53.71 | ~ (ssItem @ (hd @ (cons @ X0 @ nil)))
% 232.05/53.71 | (ssList @ (cons @ X0 @ nil)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl85, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause86])).
% 232.05/53.71 thf(zip_derived_cl545, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0) | ~ (singletonP @ X0) | ((hd @ X0) = (skaf44 @ X0)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl544, zip_derived_cl46, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause47])).
% 232.05/53.71 thf(zip_derived_cl549, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (singletonP @ X0) | ~ (ssList @ X0) | (ssItem @ (hd @ X0)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl545, zip_derived_cl46])).
% 232.05/53.71 thf(zip_derived_cl333, plain,
% 232.05/53.71 (![X0 : $i]: ( (singletonP @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl332])).
% 232.05/53.71 thf(zip_derived_cl552, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 ( (ssItem @ (hd @ (cons @ X0 @ nil)))
% 232.05/53.71 | ~ (ssList @ (cons @ X0 @ nil))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl549, zip_derived_cl333])).
% 232.05/53.71 thf(zip_derived_cl556, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ nil)
% 232.05/53.71 | ~ (ssItem @ X0)
% 232.05/53.71 | (ssItem @ (hd @ (cons @ X0 @ nil)))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl552])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl558, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssItem @ X0)
% 232.05/53.71 | (ssItem @ (hd @ (cons @ X0 @ nil)))
% 232.05/53.71 | ~ (ssItem @ X0))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl556, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl559, plain,
% 232.05/53.71 (![X0 : $i]: ( (ssItem @ (hd @ (cons @ X0 @ nil))) | ~ (ssItem @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl558])).
% 232.05/53.71 thf(zip_derived_cl623, plain,
% 232.05/53.71 (![X0 : $i]: ( (ssList @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl598, zip_derived_cl559])).
% 232.05/53.71 thf(zip_derived_cl5995, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssItem @ X1)
% 232.05/53.71 | ((cons @ X1 @ X0) != (X2))
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | (rearsegP @ X2 @ X0))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl824, zip_derived_cl623])).
% 232.05/53.71 thf(zip_derived_cl7120, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ (skaf82 @ sk2))
% 232.05/53.71 | ~ (ssItem @ (skaf83 @ sk2))
% 232.05/53.71 | ((sk2) != (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (rearsegP @ X0 @ (skaf82 @ sk2)))),
% 232.05/53.71 inference('s_sup-', [status(thm)],
% 232.05/53.71 [zip_derived_cl7098, zip_derived_cl5995])).
% 232.05/53.71 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause13])).
% 232.05/53.71 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause12])).
% 232.05/53.71 thf(zip_derived_cl7172, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (sk2))
% 232.05/53.71 | ((sk2) != (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (rearsegP @ X0 @ (skaf82 @ sk2)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl7120, zip_derived_cl12, zip_derived_cl11])).
% 232.05/53.71 thf(zip_derived_cl7292, plain,
% 232.05/53.71 (( (rearsegP @ sk2 @ (skaf82 @ sk2)) | ~ (ssList @ sk2) | ((nil) = (sk2)))),
% 232.05/53.71 inference('eq_res', [status(thm)], [zip_derived_cl7172])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl7293, plain,
% 232.05/53.71 (( (rearsegP @ sk2 @ (skaf82 @ sk2)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl7292, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl7298, plain,
% 232.05/53.71 ((~ (ssList @ sk2)
% 232.05/53.71 | ((nil) = (sk2))
% 232.05/53.71 | (rearsegP @ sk2 @ (tl @ sk2))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)],
% 232.05/53.71 [zip_derived_cl645, zip_derived_cl7293])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl7300, plain,
% 232.05/53.71 ((((nil) = (sk2)) | (rearsegP @ sk2 @ (tl @ sk2)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl7298, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl7301, plain,
% 232.05/53.71 (( (rearsegP @ sk2 @ (tl @ sk2)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl7300])).
% 232.05/53.71 thf(zip_derived_cl130, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (rearsegP @ X0 @ X1)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause131])).
% 232.05/53.71 thf(zip_derived_cl7315, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ (tl @ sk2))
% 232.05/53.71 | ~ (ssList @ sk2)
% 232.05/53.71 | ((app @ (skaf46 @ sk2 @ (tl @ sk2)) @ (tl @ sk2)) = (sk2)))),
% 232.05/53.71 inference('s_sup-', [status(thm)],
% 232.05/53.71 [zip_derived_cl7301, zip_derived_cl130])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl7319, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ (tl @ sk2))
% 232.05/53.71 | ((app @ (skaf46 @ sk2 @ (tl @ sk2)) @ (tl @ sk2)) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl7315, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl6959, plain, ((((nil) = (sk2)) | (ssList @ (tl @ sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl6958, zip_derived_cl12])).
% 232.05/53.71 thf(zip_derived_cl8970, plain,
% 232.05/53.71 ((((app @ (skaf46 @ sk2 @ (tl @ sk2)) @ (tl @ sk2)) = (sk2))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl7319, zip_derived_cl6959])).
% 232.05/53.71 thf(zip_derived_cl645, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (X0)) | ~ (ssList @ X0) | ((tl @ X0) = (skaf82 @ X0)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl640, zip_derived_cl11, zip_derived_cl12])).
% 232.05/53.71 thf(zip_derived_cl7098, plain,
% 232.05/53.71 ((((cons @ (skaf83 @ sk2) @ (skaf82 @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl7038, zip_derived_cl6959])).
% 232.05/53.71 thf(zip_derived_cl119, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssItem @ X0)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause120])).
% 232.05/53.71 thf(clause151, axiom,
% 232.05/53.71 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 232.05/53.71 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 232.05/53.71 thf(zip_derived_cl150, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((X2) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause151])).
% 232.05/53.71 thf(zip_derived_cl805, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssItem @ X1)
% 232.05/53.71 | ((app @ X2 @ X0) != (cons @ X1 @ X0))
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ (cons @ X1 @ nil))
% 232.05/53.71 | ((X2) = (cons @ X1 @ nil)))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl150])).
% 232.05/53.71 thf(zip_derived_cl821, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (((X2) = (cons @ X1 @ nil))
% 232.05/53.71 | ~ (ssList @ (cons @ X1 @ nil))
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | ((app @ X2 @ X0) != (cons @ X1 @ X0))
% 232.05/53.71 | ~ (ssItem @ X1)
% 232.05/53.71 | ~ (ssList @ X0))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl805])).
% 232.05/53.71 thf(zip_derived_cl623, plain,
% 232.05/53.71 (![X0 : $i]: ( (ssList @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl598, zip_derived_cl559])).
% 232.05/53.71 thf(zip_derived_cl5829, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (ssItem @ X1)
% 232.05/53.71 | ((app @ X2 @ X0) != (cons @ X1 @ X0))
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | ((X2) = (cons @ X1 @ nil)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl821, zip_derived_cl623])).
% 232.05/53.71 thf(zip_derived_cl7119, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ (skaf82 @ sk2))
% 232.05/53.71 | ~ (ssItem @ (skaf83 @ sk2))
% 232.05/53.71 | ((app @ X0 @ (skaf82 @ sk2)) != (sk2))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((X0) = (cons @ (skaf83 @ sk2) @ nil)))),
% 232.05/53.71 inference('s_sup-', [status(thm)],
% 232.05/53.71 [zip_derived_cl7098, zip_derived_cl5829])).
% 232.05/53.71 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause13])).
% 232.05/53.71 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause12])).
% 232.05/53.71 thf(zip_derived_cl7171, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (sk2))
% 232.05/53.71 | ((app @ X0 @ (skaf82 @ sk2)) != (sk2))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((X0) = (cons @ (skaf83 @ sk2) @ nil)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl7119, zip_derived_cl12, zip_derived_cl11])).
% 232.05/53.71 thf(zip_derived_cl9136, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ sk2)
% 232.05/53.71 | ((nil) = (sk2))
% 232.05/53.71 | ((nil) = (sk2))
% 232.05/53.71 | ((app @ X0 @ (tl @ sk2)) != (sk2))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((X0) = (cons @ (skaf83 @ sk2) @ nil)))),
% 232.05/53.71 inference('s_sup-', [status(thm)],
% 232.05/53.71 [zip_derived_cl645, zip_derived_cl7171])).
% 232.05/53.71 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_6])).
% 232.05/53.71 thf(zip_derived_cl9144, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (sk2))
% 232.05/53.71 | ((nil) = (sk2))
% 232.05/53.71 | ((app @ X0 @ (tl @ sk2)) != (sk2))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((X0) = (cons @ (skaf83 @ sk2) @ nil)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl9136, zip_derived_cl186])).
% 232.05/53.71 thf(zip_derived_cl9145, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((X0) = (cons @ (skaf83 @ sk2) @ nil))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((app @ X0 @ (tl @ sk2)) != (sk2))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl9144])).
% 232.05/53.71 thf(zip_derived_cl9151, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ((skaf46 @ sk2 @ (tl @ sk2)) = (cons @ (skaf83 @ sk2) @ nil))
% 232.05/53.71 | ~ (ssList @ (skaf46 @ sk2 @ (tl @ sk2)))
% 232.05/53.71 | ((sk2) != (sk2))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('s_sup-', [status(thm)],
% 232.05/53.71 [zip_derived_cl8970, zip_derived_cl9145])).
% 232.05/53.71 thf(zip_derived_cl49, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause50])).
% 232.05/53.71 thf(zip_derived_cl9158, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ((skaf46 @ sk2 @ (tl @ sk2)) = (cons @ (skaf83 @ sk2) @ nil))
% 232.05/53.71 | ((sk2) != (sk2))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl9151, zip_derived_cl49])).
% 232.05/53.71 thf(zip_derived_cl9159, plain,
% 232.05/53.71 ((((skaf46 @ sk2 @ (tl @ sk2)) = (cons @ (skaf83 @ sk2) @ nil))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl9158])).
% 232.05/53.71 thf(zip_derived_cl8970, plain,
% 232.05/53.71 ((((app @ (skaf46 @ sk2 @ (tl @ sk2)) @ (tl @ sk2)) = (sk2))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl7319, zip_derived_cl6959])).
% 232.05/53.71 thf(clause144, axiom,
% 232.05/53.71 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 232.05/53.71 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 232.05/53.71 thf(zip_derived_cl143, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 232.05/53.71 (((app @ X1 @ X2) != (X0))
% 232.05/53.71 | ~ (ssList @ X2)
% 232.05/53.71 | ~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (frontsegP @ X0 @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause144])).
% 232.05/53.71 thf(zip_derived_cl481, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 ( (frontsegP @ (app @ X0 @ X1) @ X0)
% 232.05/53.71 | ~ (ssList @ (app @ X0 @ X1))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X1))),
% 232.05/53.71 inference('eq_res', [status(thm)], [zip_derived_cl143])).
% 232.05/53.71 thf(zip_derived_cl84, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause85])).
% 232.05/53.71 thf(zip_derived_cl4027, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X1)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | (frontsegP @ (app @ X0 @ X1) @ X0))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl481, zip_derived_cl84])).
% 232.05/53.71 thf(zip_derived_cl8989, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ (tl @ sk2))
% 232.05/53.71 | ~ (ssList @ (skaf46 @ sk2 @ (tl @ sk2)))
% 232.05/53.71 | (frontsegP @ sk2 @ (skaf46 @ sk2 @ (tl @ sk2))))),
% 232.05/53.71 inference('s_sup+', [status(thm)],
% 232.05/53.71 [zip_derived_cl8970, zip_derived_cl4027])).
% 232.05/53.71 thf(zip_derived_cl49, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause50])).
% 232.05/53.71 thf(zip_derived_cl9018, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (ssList @ (tl @ sk2))
% 232.05/53.71 | (frontsegP @ sk2 @ (skaf46 @ sk2 @ (tl @ sk2))))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl8989, zip_derived_cl49])).
% 232.05/53.71 thf(zip_derived_cl6959, plain, ((((nil) = (sk2)) | (ssList @ (tl @ sk2)))),
% 232.05/53.71 inference('s_sup+', [status(thm)], [zip_derived_cl6958, zip_derived_cl12])).
% 232.05/53.71 thf(zip_derived_cl9054, plain,
% 232.05/53.71 (( (frontsegP @ sk2 @ (skaf46 @ sk2 @ (tl @ sk2))) | ((nil) = (sk2)))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl9018, zip_derived_cl6959])).
% 232.05/53.71 thf(zip_derived_cl99, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause100])).
% 232.05/53.71 thf(co1_9, conjecture,
% 232.05/53.71 (~( ( ~( equalelemsP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) |
% 232.05/53.71 ( ~( frontsegP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) |
% 232.05/53.71 ( ~( ssList @ A ) ) ))).
% 232.05/53.71 thf(zf_stmt_7, negated_conjecture,
% 232.05/53.71 (( ~( equalelemsP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) |
% 232.05/53.71 ( ~( frontsegP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) |
% 232.05/53.71 ( ~( ssList @ A ) )),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_9])).
% 232.05/53.71 thf(zip_derived_cl193, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (equalelemsP @ X0)
% 232.05/53.71 | ~ (segmentP @ X0 @ sk3)
% 232.05/53.71 | ~ (frontsegP @ sk4 @ X0)
% 232.05/53.71 | ~ (neq @ sk3 @ X0)
% 232.05/53.71 | ~ (ssList @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_7])).
% 232.05/53.71 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_4])).
% 232.05/53.71 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_3])).
% 232.05/53.71 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_4])).
% 232.05/53.71 thf(zip_derived_cl252, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (equalelemsP @ X0)
% 232.05/53.71 | ~ (segmentP @ X0 @ sk1)
% 232.05/53.71 | ~ (frontsegP @ sk2 @ X0)
% 232.05/53.71 | ~ (neq @ sk1 @ X0)
% 232.05/53.71 | ~ (ssList @ X0))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl193, zip_derived_cl190, zip_derived_cl189,
% 232.05/53.71 zip_derived_cl190])).
% 232.05/53.71 thf(zip_derived_cl274, plain, (((sk1) = (nil))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 232.05/53.71 thf(zip_derived_cl274, plain, (((sk1) = (nil))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 232.05/53.71 thf(zip_derived_cl284, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (equalelemsP @ X0)
% 232.05/53.71 | ~ (segmentP @ X0 @ nil)
% 232.05/53.71 | ~ (frontsegP @ sk2 @ X0)
% 232.05/53.71 | ~ (neq @ nil @ X0)
% 232.05/53.71 | ~ (ssList @ X0))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl252, zip_derived_cl274, zip_derived_cl274])).
% 232.05/53.71 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 232.05/53.71 thf(zip_derived_cl55, plain,
% 232.05/53.71 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause56])).
% 232.05/53.71 thf(zip_derived_cl289, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (ssList @ X0)
% 232.05/53.71 | ~ (neq @ nil @ X0)
% 232.05/53.71 | ~ (frontsegP @ sk2 @ X0)
% 232.05/53.71 | ~ (equalelemsP @ X0))),
% 232.05/53.71 inference('clc', [status(thm)], [zip_derived_cl284, zip_derived_cl55])).
% 232.05/53.71 thf(zip_derived_cl290, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ nil)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (frontsegP @ sk2 @ X0)
% 232.05/53.71 | ~ (equalelemsP @ X0))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl289])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl291, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (((nil) = (X0))
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ~ (frontsegP @ sk2 @ X0)
% 232.05/53.71 | ~ (equalelemsP @ X0))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl290, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl292, plain,
% 232.05/53.71 (![X0 : $i]:
% 232.05/53.71 (~ (equalelemsP @ X0)
% 232.05/53.71 | ~ (frontsegP @ sk2 @ X0)
% 232.05/53.71 | ~ (ssList @ X0)
% 232.05/53.71 | ((nil) = (X0)))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl291])).
% 232.05/53.71 thf(zip_derived_cl9059, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (equalelemsP @ (skaf46 @ sk2 @ (tl @ sk2)))
% 232.05/53.71 | ~ (ssList @ (skaf46 @ sk2 @ (tl @ sk2)))
% 232.05/53.71 | ((nil) = (skaf46 @ sk2 @ (tl @ sk2))))),
% 232.05/53.71 inference('s_sup-', [status(thm)],
% 232.05/53.71 [zip_derived_cl9054, zip_derived_cl292])).
% 232.05/53.71 thf(zip_derived_cl49, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause50])).
% 232.05/53.71 thf(zip_derived_cl9064, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ~ (equalelemsP @ (skaf46 @ sk2 @ (tl @ sk2)))
% 232.05/53.71 | ((nil) = (skaf46 @ sk2 @ (tl @ sk2))))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl9059, zip_derived_cl49])).
% 232.05/53.71 thf(zip_derived_cl9167, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ((nil) = (sk2))
% 232.05/53.71 | ~ (equalelemsP @ (cons @ (skaf83 @ sk2) @ nil))
% 232.05/53.71 | ((nil) = (cons @ (skaf83 @ sk2) @ nil)))),
% 232.05/53.71 inference('s_sup-', [status(thm)],
% 232.05/53.71 [zip_derived_cl9159, zip_derived_cl9064])).
% 232.05/53.71 thf(zip_derived_cl9173, plain,
% 232.05/53.71 ((((nil) = (cons @ (skaf83 @ sk2) @ nil))
% 232.05/53.71 | ~ (equalelemsP @ (cons @ (skaf83 @ sk2) @ nil))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl9167])).
% 232.05/53.71 thf(zip_derived_cl9182, plain,
% 232.05/53.71 ((~ (ssItem @ (skaf83 @ sk2))
% 232.05/53.71 | ((nil) = (cons @ (skaf83 @ sk2) @ nil))
% 232.05/53.71 | ((nil) = (sk2)))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl9173])).
% 232.05/53.71 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause12])).
% 232.05/53.71 thf(zip_derived_cl9185, plain,
% 232.05/53.71 ((((nil) = (cons @ (skaf83 @ sk2) @ nil)) | ((nil) = (sk2)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl9182, zip_derived_cl11])).
% 232.05/53.71 thf(zip_derived_cl97, plain,
% 232.05/53.71 (![X0 : $i, X1 : $i]:
% 232.05/53.71 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause98])).
% 232.05/53.71 thf(zip_derived_cl9192, plain,
% 232.05/53.71 ((((nil) = (sk2))
% 232.05/53.71 | ((nil) != (nil))
% 232.05/53.71 | ~ (ssItem @ (skaf83 @ sk2))
% 232.05/53.71 | ~ (ssList @ nil))),
% 232.05/53.71 inference('s_sup-', [status(thm)], [zip_derived_cl9185, zip_derived_cl97])).
% 232.05/53.71 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 232.05/53.71 inference('cnf', [status(esa)], [clause12])).
% 232.05/53.71 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 232.05/53.71 inference('cnf', [status(esa)], [clause8])).
% 232.05/53.71 thf(zip_derived_cl9272, plain, ((((nil) = (sk2)) | ((nil) != (nil)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl9192, zip_derived_cl11, zip_derived_cl7])).
% 232.05/53.71 thf(zip_derived_cl9273, plain, (((nil) = (sk2))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl9272])).
% 232.05/53.71 thf(co1_13, conjecture,
% 232.05/53.71 (~( ( ~( frontsegP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 232.05/53.71 ( ( nil ) != ( sk1 ) ) ))).
% 232.05/53.71 thf(zf_stmt_8, negated_conjecture,
% 232.05/53.71 (( ~( frontsegP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 232.05/53.71 ( ( nil ) != ( sk1 ) )),
% 232.05/53.71 inference('cnf.neg', [status(esa)], [co1_13])).
% 232.05/53.71 thf(zip_derived_cl197, plain,
% 232.05/53.71 ((~ (frontsegP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil) | ((nil) != (sk1)))),
% 232.05/53.71 inference('cnf', [status(esa)], [zf_stmt_8])).
% 232.05/53.71 thf(zip_derived_cl201, plain, ( (frontsegP @ sk2 @ sk1)),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 232.05/53.71 thf(zip_derived_cl202, plain, ((~ (neq @ sk1 @ nil) | ((nil) != (sk1)))),
% 232.05/53.71 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl201])).
% 232.05/53.71 thf(zip_derived_cl274, plain, (((sk1) = (nil))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 232.05/53.71 thf(zip_derived_cl274, plain, (((sk1) = (nil))),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 232.05/53.71 thf(zip_derived_cl281, plain, ((~ (neq @ nil @ nil) | ((nil) != (nil)))),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl202, zip_derived_cl274, zip_derived_cl274])).
% 232.05/53.71 thf(zip_derived_cl282, plain, (~ (neq @ nil @ nil)),
% 232.05/53.71 inference('simplify', [status(thm)], [zip_derived_cl281])).
% 232.05/53.71 thf(zip_derived_cl9356, plain, ($false),
% 232.05/53.71 inference('demod', [status(thm)],
% 232.05/53.71 [zip_derived_cl278, zip_derived_cl9273, zip_derived_cl282])).
% 232.05/53.71
% 232.05/53.71 % SZS output end Refutation
% 232.05/53.71
% 232.05/53.71
% 232.05/53.71 % Terminating...
% 232.05/53.73 % Runner terminated.
% 232.05/53.75 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------