TSTP Solution File: SWC374-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC374-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.i3zSppkCAn true
% Computer : n022.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 21:31:07 EDT 2023
% Result : Unsatisfiable 34.80s 5.60s
% Output : Refutation 34.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC374-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.i3zSppkCAn true
% 0.14/0.35 % Computer : n022.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 15:29:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/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
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.79/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.79/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.79/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.79/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.79/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.79/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 34.80/5.60 % Solved by fo/fo6_bce.sh.
% 34.80/5.60 % BCE start: 198
% 34.80/5.60 % BCE eliminated: 4
% 34.80/5.60 % PE start: 194
% 34.80/5.60 logic: eq
% 34.80/5.60 % PE eliminated: 6
% 34.80/5.60 % done 3375 iterations in 4.850s
% 34.80/5.60 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.80/5.60 % SZS output start Refutation
% 34.80/5.60 thf(nil_type, type, nil: $i).
% 34.80/5.60 thf(cons_type, type, cons: $i > $i > $i).
% 34.80/5.60 thf(sk2_type, type, sk2: $i).
% 34.80/5.60 thf(sk4_type, type, sk4: $i).
% 34.80/5.60 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 34.80/5.60 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 34.80/5.60 thf(tl_type, type, tl: $i > $i).
% 34.80/5.60 thf(memberP_type, type, memberP: $i > $i > $o).
% 34.80/5.60 thf(hd_type, type, hd: $i > $i).
% 34.80/5.60 thf(ssItem_type, type, ssItem: $i > $o).
% 34.80/5.60 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 34.80/5.60 thf(skaf44_type, type, skaf44: $i > $i).
% 34.80/5.60 thf(sk5_type, type, sk5: $i).
% 34.80/5.60 thf(sk3_type, type, sk3: $i).
% 34.80/5.60 thf(app_type, type, app: $i > $i > $i).
% 34.80/5.60 thf(ssList_type, type, ssList: $i > $o).
% 34.80/5.60 thf(sk1_type, type, sk1: $i).
% 34.80/5.60 thf(singletonP_type, type, singletonP: $i > $o).
% 34.80/5.60 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 34.80/5.60 thf(co1_13, conjecture,
% 34.80/5.60 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 34.80/5.60 thf(zf_stmt_0, negated_conjecture,
% 34.80/5.60 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 )),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_13])).
% 34.80/5.60 thf(zip_derived_cl197, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk5))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.80/5.60 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 34.80/5.60 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_6])).
% 34.80/5.60 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_1])).
% 34.80/5.60 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 34.80/5.60 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_5])).
% 34.80/5.60 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.80/5.60 thf(zip_derived_cl1363, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl189])).
% 34.80/5.60 thf(clause79, axiom,
% 34.80/5.60 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( segmentP @ nil @ U ))).
% 34.80/5.60 thf(zip_derived_cl78, plain,
% 34.80/5.60 (![X0 : $i]: (((nil) != (X0)) | ~ (ssList @ X0) | (segmentP @ nil @ X0))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause79])).
% 34.80/5.60 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 34.80/5.60 thf(zip_derived_cl55, plain,
% 34.80/5.60 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause56])).
% 34.80/5.60 thf(clause152, axiom,
% 34.80/5.60 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 34.80/5.60 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 34.80/5.60 ( segmentP @ U @ W ))).
% 34.80/5.60 thf(zip_derived_cl151, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.80/5.60 (~ (segmentP @ X0 @ X1)
% 34.80/5.60 | ~ (segmentP @ X1 @ X2)
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | (segmentP @ X0 @ X2))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause152])).
% 34.80/5.60 thf(zip_derived_cl2189, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ~ (segmentP @ nil @ X1)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ nil)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | (segmentP @ X0 @ X1))),
% 34.80/5.60 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl151])).
% 34.80/5.60 thf(clause8, axiom, (ssList @ nil)).
% 34.80/5.60 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 34.80/5.60 inference('cnf', [status(esa)], [clause8])).
% 34.80/5.60 thf(zip_derived_cl2196, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ~ (segmentP @ nil @ X1)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | (segmentP @ X0 @ X1))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl2189, zip_derived_cl7])).
% 34.80/5.60 thf(zip_derived_cl2197, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 ( (segmentP @ X0 @ X1)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (segmentP @ nil @ X1)
% 34.80/5.60 | ~ (ssList @ X0))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl2196])).
% 34.80/5.60 thf(zip_derived_cl2202, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ((nil) != (X0))
% 34.80/5.60 | (segmentP @ X1 @ X0)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ X1))),
% 34.80/5.60 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl2197])).
% 34.80/5.60 thf(zip_derived_cl2206, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X1)
% 34.80/5.60 | (segmentP @ X1 @ X0)
% 34.80/5.60 | ((nil) != (X0))
% 34.80/5.60 | ~ (ssList @ X0))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl2202])).
% 34.80/5.60 thf(co1_7, conjecture, (segmentP @ sk2 @ sk1)).
% 34.80/5.60 thf(zf_stmt_3, negated_conjecture, (~( segmentP @ sk2 @ sk1 )),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_7])).
% 34.80/5.60 thf(zip_derived_cl191, plain, (~ (segmentP @ sk2 @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_3])).
% 34.80/5.60 thf(zip_derived_cl2327, plain,
% 34.80/5.60 ((~ (ssList @ sk1) | ((nil) != (sk1)) | ~ (ssList @ sk2))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl2206, zip_derived_cl191])).
% 34.80/5.60 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 34.80/5.60 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_1])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 34.80/5.60 thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_2])).
% 34.80/5.60 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_5])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl30314, plain, ( (memberP @ sk2 @ sk5)),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1363, zip_derived_cl2334])).
% 34.80/5.60 thf(co1_11, conjecture,
% 34.80/5.60 (~( ( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 34.80/5.60 thf(zf_stmt_6, negated_conjecture,
% 34.80/5.60 (( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 )),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_11])).
% 34.80/5.60 thf(zip_derived_cl195, plain, ((((nil) = (sk4)) | (memberP @ sk4 @ sk5))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_6])).
% 34.80/5.60 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.80/5.60 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.80/5.60 thf(zip_derived_cl1362, plain, ((((nil) = (sk2)) | (memberP @ sk2 @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl189])).
% 34.80/5.60 thf(clause169, axiom,
% 34.80/5.60 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 34.80/5.60 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 34.80/5.60 thf(zip_derived_cl168, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (memberP @ X0 @ X1)
% 34.80/5.60 | ~ (ssItem @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 34.80/5.60 = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause169])).
% 34.80/5.60 thf(clause85, axiom,
% 34.80/5.60 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 34.80/5.60 thf(zip_derived_cl84, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause85])).
% 34.80/5.60 thf(co1_9, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 ) ))).
% 34.80/5.60 thf(zf_stmt_7, negated_conjecture,
% 34.80/5.60 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 )),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_9])).
% 34.80/5.60 thf(zip_derived_cl193, plain, ((((nil) = (sk3)) | (ssItem @ sk5))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_7])).
% 34.80/5.60 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_1])).
% 34.80/5.60 thf(zip_derived_cl1361, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 34.80/5.60 thf(co1_12, conjecture,
% 34.80/5.60 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 34.80/5.60 thf(zf_stmt_8, negated_conjecture,
% 34.80/5.60 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 34.80/5.60 inference('cnf.neg', [status(esa)], [co1_12])).
% 34.80/5.60 thf(zip_derived_cl196, plain,
% 34.80/5.60 ((((nil) = (sk3)) | ((cons @ sk5 @ nil) = (sk3)))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_8])).
% 34.80/5.60 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_1])).
% 34.80/5.60 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_1])).
% 34.80/5.60 thf(zip_derived_cl1350, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl196, zip_derived_cl190, zip_derived_cl190])).
% 34.80/5.60 thf(clause97, axiom,
% 34.80/5.60 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 34.80/5.60 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 34.80/5.60 thf(zip_derived_cl96, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause97])).
% 34.80/5.60 thf(zip_derived_cl1514, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssItem @ sk5)
% 34.80/5.60 | ~ (ssList @ nil)
% 34.80/5.60 | ((hd @ sk1) = (sk5)))),
% 34.80/5.60 inference('s_sup+', [status(thm)], [zip_derived_cl1350, zip_derived_cl96])).
% 34.80/5.60 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 34.80/5.60 inference('cnf', [status(esa)], [clause8])).
% 34.80/5.60 thf(zip_derived_cl1519, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl1514, zip_derived_cl7])).
% 34.80/5.60 thf(zip_derived_cl1361, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 34.80/5.60 thf(zip_derived_cl1566, plain, ((((hd @ sk1) = (sk5)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('clc', [status(thm)], [zip_derived_cl1519, zip_derived_cl1361])).
% 34.80/5.60 thf(zip_derived_cl1350, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl196, zip_derived_cl190, zip_derived_cl190])).
% 34.80/5.60 thf(clause96, axiom,
% 34.80/5.60 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 34.80/5.60 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 34.80/5.60 thf(zip_derived_cl95, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause96])).
% 34.80/5.60 thf(zip_derived_cl1501, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssItem @ sk5)
% 34.80/5.60 | ~ (ssList @ nil)
% 34.80/5.60 | ((tl @ sk1) = (nil)))),
% 34.80/5.60 inference('s_sup+', [status(thm)], [zip_derived_cl1350, zip_derived_cl95])).
% 34.80/5.60 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 34.80/5.60 inference('cnf', [status(esa)], [clause8])).
% 34.80/5.60 thf(zip_derived_cl1506, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl1501, zip_derived_cl7])).
% 34.80/5.60 thf(zip_derived_cl1361, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 34.80/5.60 thf(zip_derived_cl1541, plain, ((((tl @ sk1) = (nil)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('clc', [status(thm)], [zip_derived_cl1506, zip_derived_cl1361])).
% 34.80/5.60 thf(clause104, axiom,
% 34.80/5.60 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 34.80/5.60 ( ( nil ) = ( U ) ))).
% 34.80/5.60 thf(zip_derived_cl103, plain,
% 34.80/5.60 (![X0 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 34.80/5.60 | ((nil) = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause104])).
% 34.80/5.60 thf(zip_derived_cl1543, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssList @ sk1)
% 34.80/5.60 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 34.80/5.60 | ((nil) = (sk1)))),
% 34.80/5.60 inference('s_sup+', [status(thm)],
% 34.80/5.60 [zip_derived_cl1541, zip_derived_cl103])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(zip_derived_cl1546, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl1543, zip_derived_cl185])).
% 34.80/5.60 thf(zip_derived_cl1547, plain,
% 34.80/5.60 ((((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl1546])).
% 34.80/5.60 thf(clause138, axiom,
% 34.80/5.60 (( ( U ) != ( V ) ) | ( ~( ssList @ W ) ) | ( ~( ssItem @ V ) ) |
% 34.80/5.60 ( ~( ssItem @ U ) ) | ( memberP @ ( cons @ V @ W ) @ U ))).
% 34.80/5.60 thf(zip_derived_cl137, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.80/5.60 (((X1) != (X0))
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ~ (ssItem @ X0)
% 34.80/5.60 | ~ (ssItem @ X1)
% 34.80/5.60 | (memberP @ (cons @ X0 @ X2) @ X1))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause138])).
% 34.80/5.60 thf(zip_derived_cl1752, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 ( (memberP @ (cons @ X0 @ X1) @ X0)
% 34.80/5.60 | ~ (ssItem @ X0)
% 34.80/5.60 | ~ (ssItem @ X0)
% 34.80/5.60 | ~ (ssList @ X1))),
% 34.80/5.60 inference('eq_res', [status(thm)], [zip_derived_cl137])).
% 34.80/5.60 thf(zip_derived_cl1753, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X1)
% 34.80/5.60 | ~ (ssItem @ X0)
% 34.80/5.60 | (memberP @ (cons @ X0 @ X1) @ X0))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl1752])).
% 34.80/5.60 thf(zip_derived_cl1758, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssList @ nil)
% 34.80/5.60 | ~ (ssItem @ (hd @ sk1))
% 34.80/5.60 | (memberP @ sk1 @ (hd @ sk1)))),
% 34.80/5.60 inference('s_sup+', [status(thm)],
% 34.80/5.60 [zip_derived_cl1547, zip_derived_cl1753])).
% 34.80/5.60 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 34.80/5.60 inference('cnf', [status(esa)], [clause8])).
% 34.80/5.60 thf(zip_derived_cl1768, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssItem @ (hd @ sk1))
% 34.80/5.60 | (memberP @ sk1 @ (hd @ sk1)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl1758, zip_derived_cl7])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl2574, plain,
% 34.80/5.60 ((~ (ssItem @ (hd @ sk1)) | (memberP @ sk1 @ (hd @ sk1)))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1768, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl2579, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ~ (ssItem @ sk5) | (memberP @ sk1 @ sk5))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1566, zip_derived_cl2574])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl2583, plain, ((~ (ssItem @ sk5) | (memberP @ sk1 @ sk5))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl2579, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl2613, plain, ((((nil) = (sk1)) | (memberP @ sk1 @ sk5))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1361, zip_derived_cl2583])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl2614, plain, ( (memberP @ sk1 @ sk5)),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl2613, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl1566, plain, ((((hd @ sk1) = (sk5)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('clc', [status(thm)], [zip_derived_cl1519, zip_derived_cl1361])).
% 34.80/5.60 thf(zip_derived_cl103, plain,
% 34.80/5.60 (![X0 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 34.80/5.60 | ((nil) = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause104])).
% 34.80/5.60 thf(zip_derived_cl1568, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssList @ sk1)
% 34.80/5.60 | ((cons @ sk5 @ (tl @ sk1)) = (sk1))
% 34.80/5.60 | ((nil) = (sk1)))),
% 34.80/5.60 inference('s_sup+', [status(thm)],
% 34.80/5.60 [zip_derived_cl1566, zip_derived_cl103])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(zip_derived_cl1571, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ((cons @ sk5 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl1568, zip_derived_cl185])).
% 34.80/5.60 thf(zip_derived_cl1572, plain,
% 34.80/5.60 ((((cons @ sk5 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl1571])).
% 34.80/5.60 thf(clause75, axiom,
% 34.80/5.60 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 34.80/5.60 thf(zip_derived_cl74, plain,
% 34.80/5.60 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause75])).
% 34.80/5.60 thf(zip_derived_cl1361, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 34.80/5.60 thf(zip_derived_cl1572, plain,
% 34.80/5.60 ((((cons @ sk5 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl1571])).
% 34.80/5.60 thf(zip_derived_cl1350, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl196, zip_derived_cl190, zip_derived_cl190])).
% 34.80/5.60 thf(clause116, axiom,
% 34.80/5.60 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 34.80/5.60 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 34.80/5.60 thf(zip_derived_cl115, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (((cons @ X1 @ nil) != (X0))
% 34.80/5.60 | ~ (ssItem @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | (singletonP @ X0))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause116])).
% 34.80/5.60 thf(clause101, axiom,
% 34.80/5.60 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 34.80/5.60 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 34.80/5.60 thf(zip_derived_cl100, plain,
% 34.80/5.60 (![X0 : $i]:
% 34.80/5.60 (~ (singletonP @ X0)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause101])).
% 34.80/5.60 thf(zip_derived_cl1325, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X1)
% 34.80/5.60 | ~ (ssItem @ X0)
% 34.80/5.60 | ((cons @ X0 @ nil) != (X1))
% 34.80/5.60 | ((cons @ (skaf44 @ X1) @ nil) = (X1))
% 34.80/5.60 | ~ (ssList @ X1))),
% 34.80/5.60 inference('dp-resolution', [status(thm)],
% 34.80/5.60 [zip_derived_cl115, zip_derived_cl100])).
% 34.80/5.60 thf(zip_derived_cl1419, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (((cons @ (skaf44 @ X1) @ nil) = (X1))
% 34.80/5.60 | ((cons @ X0 @ nil) != (X1))
% 34.80/5.60 | ~ (ssItem @ X0)
% 34.80/5.60 | ~ (ssList @ X1))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl1325])).
% 34.80/5.60 thf(zip_derived_cl1422, plain,
% 34.80/5.60 (![X0 : $i]:
% 34.80/5.60 (~ (ssList @ (cons @ X0 @ nil))
% 34.80/5.60 | ~ (ssItem @ X0)
% 34.80/5.60 | ((cons @ (skaf44 @ (cons @ X0 @ nil)) @ nil) = (cons @ X0 @ nil)))),
% 34.80/5.60 inference('eq_res', [status(thm)], [zip_derived_cl1419])).
% 34.80/5.60 thf(zip_derived_cl1463, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssList @ sk1)
% 34.80/5.60 | ~ (ssItem @ sk5)
% 34.80/5.60 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 34.80/5.60 inference('s_sup+', [status(thm)],
% 34.80/5.60 [zip_derived_cl1350, zip_derived_cl1422])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(zip_derived_cl1469, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssItem @ sk5)
% 34.80/5.60 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl1463, zip_derived_cl185])).
% 34.80/5.60 thf(zip_derived_cl1361, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 34.80/5.60 thf(zip_derived_cl1853, plain,
% 34.80/5.60 ((((cons @ (skaf44 @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('clc', [status(thm)], [zip_derived_cl1469, zip_derived_cl1361])).
% 34.80/5.60 thf(clause171, axiom,
% 34.80/5.60 (( ( cons @ U @ V ) != ( cons @ W @ X ) ) | ( ~( ssItem @ W ) ) |
% 34.80/5.60 ( ~( ssItem @ U ) ) | ( ~( ssList @ X ) ) | ( ~( ssList @ V ) ) |
% 34.80/5.60 ( ( X ) = ( V ) ))).
% 34.80/5.60 thf(zip_derived_cl170, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.80/5.60 (((cons @ X2 @ X3) != (cons @ X0 @ X1))
% 34.80/5.60 | ~ (ssItem @ X0)
% 34.80/5.60 | ~ (ssItem @ X2)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X3)
% 34.80/5.60 | ((X1) = (X3)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause171])).
% 34.80/5.60 thf(zip_derived_cl2715, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (((nil) = (sk1))
% 34.80/5.60 | ((sk1) != (cons @ X1 @ X0))
% 34.80/5.60 | ~ (ssItem @ X1)
% 34.80/5.60 | ~ (ssItem @ (skaf44 @ sk1))
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ nil)
% 34.80/5.60 | ((X0) = (nil)))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1853, zip_derived_cl170])).
% 34.80/5.60 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 34.80/5.60 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause47])).
% 34.80/5.60 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 34.80/5.60 inference('cnf', [status(esa)], [clause8])).
% 34.80/5.60 thf(zip_derived_cl2739, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (((nil) = (sk1))
% 34.80/5.60 | ((sk1) != (cons @ X1 @ X0))
% 34.80/5.60 | ~ (ssItem @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((X0) = (nil)))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2715, zip_derived_cl46, zip_derived_cl7])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl2740, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (((sk1) != (cons @ X1 @ X0))
% 34.80/5.60 | ~ (ssItem @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((X0) = (nil)))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl2739, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl3337, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ((sk1) != (sk1))
% 34.80/5.60 | ~ (ssItem @ sk5)
% 34.80/5.60 | ~ (ssList @ (tl @ sk1))
% 34.80/5.60 | ((tl @ sk1) = (nil)))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1572, zip_derived_cl2740])).
% 34.80/5.60 thf(zip_derived_cl3354, plain,
% 34.80/5.60 ((((tl @ sk1) = (nil))
% 34.80/5.60 | ~ (ssList @ (tl @ sk1))
% 34.80/5.60 | ~ (ssItem @ sk5)
% 34.80/5.60 | ((nil) = (sk1)))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl3337])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl3355, plain,
% 34.80/5.60 ((((tl @ sk1) = (nil)) | ~ (ssList @ (tl @ sk1)) | ~ (ssItem @ sk5))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3354, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl3357, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ((tl @ sk1) = (nil)) | ~ (ssList @ (tl @ sk1)))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1361, zip_derived_cl3355])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl3358, plain,
% 34.80/5.60 ((((tl @ sk1) = (nil)) | ~ (ssList @ (tl @ sk1)))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3357, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl3359, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ~ (ssList @ sk1) | ((tl @ sk1) = (nil)))),
% 34.80/5.60 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3358])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(zip_derived_cl3363, plain, ((((nil) = (sk1)) | ((tl @ sk1) = (nil)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl3359, zip_derived_cl185])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl3364, plain, (((tl @ sk1) = (nil))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3363, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl3370, plain,
% 34.80/5.60 ((((cons @ sk5 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl1572, zip_derived_cl3364])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl3371, plain, (((cons @ sk5 @ nil) = (sk1))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3370, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl168, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (memberP @ X0 @ X1)
% 34.80/5.60 | ~ (ssItem @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 34.80/5.60 = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause169])).
% 34.80/5.60 thf(clause72, axiom,
% 34.80/5.60 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 34.80/5.60 thf(zip_derived_cl71, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause72])).
% 34.80/5.60 thf(clause179, axiom,
% 34.80/5.60 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 34.80/5.60 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 34.80/5.60 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 34.80/5.60 thf(zip_derived_cl178, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.80/5.60 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 34.80/5.60 | ~ (ssList @ X4)
% 34.80/5.60 | ~ (ssList @ X3)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssItem @ X2)
% 34.80/5.60 | ~ (duplicatefreeP @ X0)
% 34.80/5.60 | ~ (ssList @ X0))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause179])).
% 34.80/5.60 thf(zip_derived_cl1328, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.80/5.60 ( (ssItem @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssItem @ X3)
% 34.80/5.60 | ~ (ssList @ X5)
% 34.80/5.60 | ~ (ssList @ X4)
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 34.80/5.60 inference('dp-resolution', [status(thm)],
% 34.80/5.60 [zip_derived_cl71, zip_derived_cl178])).
% 34.80/5.60 thf(zip_derived_cl3628, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.80/5.60 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ~ (ssList @ X4)
% 34.80/5.60 | ~ (ssList @ X5)
% 34.80/5.60 | ~ (ssItem @ X3)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | (ssItem @ X1))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl1328])).
% 34.80/5.60 thf(zip_derived_cl3643, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ~ (ssItem @ X3)
% 34.80/5.60 | ~ (memberP @ X0 @ X3)
% 34.80/5.60 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 34.80/5.60 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 34.80/5.60 | ~ (ssItem @ X3)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | (ssItem @ X4))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl168, zip_derived_cl3628])).
% 34.80/5.60 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 34.80/5.60 thf(zip_derived_cl51, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause52])).
% 34.80/5.60 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 34.80/5.60 thf(zip_derived_cl52, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause53])).
% 34.80/5.60 thf(zip_derived_cl3674, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ~ (ssItem @ X3)
% 34.80/5.60 | ~ (memberP @ X0 @ X3)
% 34.80/5.60 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ~ (ssItem @ X3)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | (ssItem @ X4))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl3643, zip_derived_cl51, zip_derived_cl52])).
% 34.80/5.60 thf(zip_derived_cl3675, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 34.80/5.60 ( (ssItem @ X4)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 34.80/5.60 | ~ (memberP @ X0 @ X3)
% 34.80/5.60 | ~ (ssItem @ X3)
% 34.80/5.60 | ~ (ssList @ X0))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl3674])).
% 34.80/5.60 thf(zip_derived_cl5366, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.80/5.60 ( (ssItem @ X2)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ nil)
% 34.80/5.60 | ((app @ X1 @ sk1) != (X0))
% 34.80/5.60 | ~ (memberP @ X1 @ sk5)
% 34.80/5.60 | ~ (ssItem @ sk5)
% 34.80/5.60 | ~ (ssList @ X1))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3371, zip_derived_cl3675])).
% 34.80/5.60 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 34.80/5.60 inference('cnf', [status(esa)], [clause8])).
% 34.80/5.60 thf(zip_derived_cl1853, plain,
% 34.80/5.60 ((((cons @ (skaf44 @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 34.80/5.60 inference('clc', [status(thm)], [zip_derived_cl1469, zip_derived_cl1361])).
% 34.80/5.60 thf(zip_derived_cl96, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause97])).
% 34.80/5.60 thf(zip_derived_cl1856, plain,
% 34.80/5.60 ((((nil) = (sk1))
% 34.80/5.60 | ~ (ssItem @ (skaf44 @ sk1))
% 34.80/5.60 | ~ (ssList @ nil)
% 34.80/5.60 | ((hd @ sk1) = (skaf44 @ sk1)))),
% 34.80/5.60 inference('s_sup+', [status(thm)], [zip_derived_cl1853, zip_derived_cl96])).
% 34.80/5.60 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause47])).
% 34.80/5.60 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 34.80/5.60 inference('cnf', [status(esa)], [clause8])).
% 34.80/5.60 thf(zip_derived_cl1873, plain,
% 34.80/5.60 ((((nil) = (sk1)) | ((hd @ sk1) = (skaf44 @ sk1)))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl1856, zip_derived_cl46, zip_derived_cl7])).
% 34.80/5.60 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause47])).
% 34.80/5.60 thf(zip_derived_cl1973, plain, ((((nil) = (sk1)) | (ssItem @ (hd @ sk1)))),
% 34.80/5.60 inference('s_sup+', [status(thm)], [zip_derived_cl1873, zip_derived_cl46])).
% 34.80/5.60 thf(zip_derived_cl1361, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 34.80/5.60 thf(zip_derived_cl3371, plain, (((cons @ sk5 @ nil) = (sk1))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3370, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl96, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause97])).
% 34.80/5.60 thf(zip_derived_cl3460, plain,
% 34.80/5.60 ((~ (ssItem @ sk5) | ~ (ssList @ nil) | ((hd @ sk1) = (sk5)))),
% 34.80/5.60 inference('s_sup+', [status(thm)], [zip_derived_cl3371, zip_derived_cl96])).
% 34.80/5.60 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 34.80/5.60 inference('cnf', [status(esa)], [clause8])).
% 34.80/5.60 thf(zip_derived_cl3495, plain, ((~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl3460, zip_derived_cl7])).
% 34.80/5.60 thf(zip_derived_cl3691, plain, ((((nil) = (sk1)) | ((hd @ sk1) = (sk5)))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1361, zip_derived_cl3495])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl3692, plain, (((hd @ sk1) = (sk5))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3691, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl3700, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl1973, zip_derived_cl3692])).
% 34.80/5.60 thf(zip_derived_cl2334, plain, (((nil) != (sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl2327, zip_derived_cl185, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl3701, plain, ( (ssItem @ sk5)),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3700, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl5382, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.80/5.60 ( (ssItem @ X2)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((app @ X1 @ sk1) != (X0))
% 34.80/5.60 | ~ (memberP @ X1 @ sk5)
% 34.80/5.60 | ~ (ssList @ X1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl5366, zip_derived_cl7, zip_derived_cl3701])).
% 34.80/5.60 thf(zip_derived_cl5418, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 ( (ssItem @ X0)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ((app @ sk1 @ sk1) != (X1))
% 34.80/5.60 | ~ (ssList @ sk1))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl2614, zip_derived_cl5382])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(zip_derived_cl5425, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk1 @ sk1) != (X1)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl5418, zip_derived_cl185])).
% 34.80/5.60 thf(zip_derived_cl5436, plain,
% 34.80/5.60 (![X0 : $i]: (~ (ssList @ (app @ sk1 @ sk1)) | (ssItem @ X0))),
% 34.80/5.60 inference('eq_res', [status(thm)], [zip_derived_cl5425])).
% 34.80/5.60 thf(zip_derived_cl5443, plain,
% 34.80/5.60 (![X0 : $i]: (~ (ssList @ sk1) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 34.80/5.60 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5436])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(zip_derived_cl5446, plain, (![X0 : $i]: (ssItem @ X0)),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl5443, zip_derived_cl185, zip_derived_cl185])).
% 34.80/5.60 thf(zip_derived_cl5494, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (memberP @ X0 @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 34.80/5.60 = (X0)))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl5446])).
% 34.80/5.60 thf(zip_derived_cl3371, plain, (((cons @ sk5 @ nil) = (sk1))),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3370, zip_derived_cl2334])).
% 34.80/5.60 thf(clause120, axiom,
% 34.80/5.60 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 34.80/5.60 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 34.80/5.60 thf(zip_derived_cl119, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssItem @ X0)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause120])).
% 34.80/5.60 thf(zip_derived_cl3487, plain,
% 34.80/5.60 (![X0 : $i]:
% 34.80/5.60 (~ (ssItem @ sk5)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 34.80/5.60 inference('s_sup+', [status(thm)],
% 34.80/5.60 [zip_derived_cl3371, zip_derived_cl119])).
% 34.80/5.60 thf(zip_derived_cl3701, plain, ( (ssItem @ sk5)),
% 34.80/5.60 inference('simplify_reflect-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3700, zip_derived_cl2334])).
% 34.80/5.60 thf(zip_derived_cl3947, plain,
% 34.80/5.60 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl3487, zip_derived_cl3701])).
% 34.80/5.60 thf(clause149, axiom,
% 34.80/5.60 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 34.80/5.60 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 34.80/5.60 thf(zip_derived_cl148, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause149])).
% 34.80/5.60 thf(clause173, axiom,
% 34.80/5.60 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 34.80/5.60 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 34.80/5.60 ( segmentP @ X @ V ))).
% 34.80/5.60 thf(zip_derived_cl172, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.80/5.60 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 34.80/5.60 | ~ (ssList @ X3)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | (segmentP @ X0 @ X2))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause173])).
% 34.80/5.60 thf(zip_derived_cl2894, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.80/5.60 (~ (ssList @ X2)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ X2)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X3)
% 34.80/5.60 | (segmentP @ X3 @ X1))),
% 34.80/5.60 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 34.80/5.60 thf(zip_derived_cl2914, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.80/5.60 ( (segmentP @ X3 @ X1)
% 34.80/5.60 | ~ (ssList @ X3)
% 34.80/5.60 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ~ (ssList @ X2))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl2894])).
% 34.80/5.60 thf(zip_derived_cl5584, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | (segmentP @ X1 @ sk1)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ sk1)
% 34.80/5.60 | ~ (ssList @ X2))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl3947, zip_derived_cl2914])).
% 34.80/5.60 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_4])).
% 34.80/5.60 thf(zip_derived_cl5603, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | (segmentP @ X1 @ sk1)
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (ssList @ X2))),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl5584, zip_derived_cl185])).
% 34.80/5.60 thf(zip_derived_cl5604, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i, X2 : $i]:
% 34.80/5.60 (~ (ssList @ X2)
% 34.80/5.60 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | (segmentP @ X1 @ sk1)
% 34.80/5.60 | ~ (ssList @ X0))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl5603])).
% 34.80/5.60 thf(zip_derived_cl29510, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ~ (memberP @ X0 @ sk5)
% 34.80/5.60 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 34.80/5.60 | ((X0) != (X1))
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | (segmentP @ X1 @ sk1)
% 34.80/5.60 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl5494, zip_derived_cl5604])).
% 34.80/5.60 thf(zip_derived_cl52, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause53])).
% 34.80/5.60 thf(zip_derived_cl51, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause52])).
% 34.80/5.60 thf(zip_derived_cl29527, plain,
% 34.80/5.60 (![X0 : $i, X1 : $i]:
% 34.80/5.60 (~ (ssList @ X0)
% 34.80/5.60 | ~ (memberP @ X0 @ sk5)
% 34.80/5.60 | ((X0) != (X1))
% 34.80/5.60 | ~ (ssList @ X1)
% 34.80/5.60 | (segmentP @ X1 @ sk1))),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl29510, zip_derived_cl52, zip_derived_cl51])).
% 34.80/5.60 thf(zip_derived_cl30153, plain,
% 34.80/5.60 (![X0 : $i]:
% 34.80/5.60 ( (segmentP @ X0 @ sk1)
% 34.80/5.60 | ~ (ssList @ X0)
% 34.80/5.60 | ~ (memberP @ X0 @ sk5)
% 34.80/5.60 | ~ (ssList @ X0))),
% 34.80/5.60 inference('eq_res', [status(thm)], [zip_derived_cl29527])).
% 34.80/5.60 thf(zip_derived_cl30154, plain,
% 34.80/5.60 (![X0 : $i]:
% 34.80/5.60 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 34.80/5.60 inference('simplify', [status(thm)], [zip_derived_cl30153])).
% 34.80/5.60 thf(zip_derived_cl191, plain, (~ (segmentP @ sk2 @ sk1)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_3])).
% 34.80/5.60 thf(zip_derived_cl30240, plain,
% 34.80/5.60 ((~ (ssList @ sk2) | ~ (memberP @ sk2 @ sk5))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl30154, zip_derived_cl191])).
% 34.80/5.60 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 34.80/5.60 inference('cnf', [status(esa)], [zf_stmt_5])).
% 34.80/5.60 thf(zip_derived_cl30275, plain, (~ (memberP @ sk2 @ sk5)),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl30240, zip_derived_cl186])).
% 34.80/5.60 thf(zip_derived_cl30318, plain, (((nil) = (sk2))),
% 34.80/5.60 inference('s_sup-', [status(thm)],
% 34.80/5.60 [zip_derived_cl1362, zip_derived_cl30275])).
% 34.80/5.60 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 34.80/5.60 thf(zip_derived_cl70, plain,
% 34.80/5.60 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 34.80/5.60 inference('cnf', [status(esa)], [clause71])).
% 34.80/5.60 thf(zip_derived_cl5446, plain, (![X0 : $i]: (ssItem @ X0)),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl5443, zip_derived_cl185, zip_derived_cl185])).
% 34.80/5.60 thf(zip_derived_cl5458, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 34.80/5.60 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5446])).
% 34.80/5.60 thf(zip_derived_cl30343, plain, ($false),
% 34.80/5.60 inference('demod', [status(thm)],
% 34.80/5.60 [zip_derived_cl30314, zip_derived_cl30318, zip_derived_cl5458])).
% 34.80/5.60
% 34.80/5.60 % SZS output end Refutation
% 34.80/5.60
% 34.80/5.60
% 34.80/5.60 % Terminating...
% 35.40/5.68 % Runner terminated.
% 35.40/5.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------