TSTP Solution File: SWC056-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC056-1 : 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.leKs3cpL58 true
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:28:49 EDT 2023
% Result : Unsatisfiable 42.61s 6.55s
% Output : Refutation 42.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : SWC056-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.leKs3cpL58 true
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Aug 28 17:27:45 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in FO mode
% 0.13/0.49 % Total configuration time : 435
% 0.13/0.49 % Estimated wc time : 1092
% 0.13/0.49 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.54 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.55 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.55 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.56 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.57 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.57 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.57 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 42.61/6.55 % Solved by fo/fo6_bce.sh.
% 42.61/6.55 % BCE start: 203
% 42.61/6.55 % BCE eliminated: 0
% 42.61/6.55 % PE start: 203
% 42.61/6.55 logic: eq
% 42.61/6.55 % PE eliminated: 4
% 42.61/6.55 % done 3548 iterations in 5.971s
% 42.61/6.55 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 42.61/6.55 % SZS output start Refutation
% 42.61/6.55 thf(nil_type, type, nil: $i).
% 42.61/6.55 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 42.61/6.55 thf(cons_type, type, cons: $i > $i > $i).
% 42.61/6.55 thf(sk2_type, type, sk2: $i).
% 42.61/6.55 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 42.61/6.55 thf(sk4_type, type, sk4: $i).
% 42.61/6.55 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 42.61/6.55 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 42.61/6.55 thf(tl_type, type, tl: $i > $i).
% 42.61/6.55 thf(memberP_type, type, memberP: $i > $i > $o).
% 42.61/6.55 thf(hd_type, type, hd: $i > $i).
% 42.61/6.55 thf(ssItem_type, type, ssItem: $i > $o).
% 42.61/6.55 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 42.61/6.55 thf(sk5_type, type, sk5: $i).
% 42.61/6.55 thf(sk3_type, type, sk3: $i).
% 42.61/6.55 thf(neq_type, type, neq: $i > $i > $o).
% 42.61/6.55 thf(app_type, type, app: $i > $i > $i).
% 42.61/6.55 thf(ssList_type, type, ssList: $i > $o).
% 42.61/6.55 thf(sk1_type, type, sk1: $i).
% 42.61/6.55 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 42.61/6.55 thf(co1_13, conjecture,
% 42.61/6.55 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 42.61/6.55 thf(zf_stmt_0, negated_conjecture,
% 42.61/6.55 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_13])).
% 42.61/6.55 thf(zip_derived_cl197, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk5))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.61/6.55 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 42.61/6.55 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_6])).
% 42.61/6.55 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 42.61/6.55 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 42.61/6.55 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_5])).
% 42.61/6.55 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.61/6.55 thf(zip_derived_cl1472, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk5))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl189])).
% 42.61/6.55 thf(co1_17, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 42.61/6.55 thf(zf_stmt_3, negated_conjecture,
% 42.61/6.55 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_17])).
% 42.61/6.55 thf(zip_derived_cl201, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.61/6.55 thf(clause115, axiom,
% 42.61/6.55 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 42.61/6.55 ( ~( ssList @ U ) ))).
% 42.61/6.55 thf(zip_derived_cl114, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (((X1) != (X0))
% 42.61/6.55 | ~ (neq @ X1 @ X0)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause115])).
% 42.61/6.55 thf(zip_derived_cl1444, plain,
% 42.61/6.55 ((((nil) != (sk1))
% 42.61/6.55 | ~ (ssList @ sk2)
% 42.61/6.55 | ~ (ssList @ nil)
% 42.61/6.55 | ((sk2) != (nil)))),
% 42.61/6.55 inference('dp-resolution', [status(thm)],
% 42.61/6.55 [zip_derived_cl201, zip_derived_cl114])).
% 42.61/6.55 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 42.61/6.55 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_2])).
% 42.61/6.55 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 42.61/6.55 thf(clause8, axiom, (ssList @ nil)).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl1464, plain, ((((nil) != (sk1)) | ((sk2) != (nil)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1444, zip_derived_cl186, zip_derived_cl7])).
% 42.61/6.55 thf(co1_9, conjecture,
% 42.61/6.55 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 42.61/6.55 thf(zf_stmt_5, negated_conjecture,
% 42.61/6.55 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_9])).
% 42.61/6.55 thf(zip_derived_cl193, plain,
% 42.61/6.55 ((((nil) = (sk4)) | ((cons @ sk5 @ nil) = (sk3)))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_5])).
% 42.61/6.55 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.61/6.55 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 42.61/6.55 thf(zip_derived_cl1452, plain,
% 42.61/6.55 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl193, zip_derived_cl189, zip_derived_cl190])).
% 42.61/6.55 thf(clause99, axiom,
% 42.61/6.55 (( ( cons @ U @ V ) != ( V ) ) | ( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ))).
% 42.61/6.55 thf(zip_derived_cl98, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (((cons @ X1 @ X0) != (X0)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause99])).
% 42.61/6.55 thf(zip_derived_cl1456, plain,
% 42.61/6.55 ((((nil) = (sk2))
% 42.61/6.55 | ((sk1) != (nil))
% 42.61/6.55 | ~ (ssItem @ sk5)
% 42.61/6.55 | ~ (ssList @ nil))),
% 42.61/6.55 inference('s_sup-', [status(thm)], [zip_derived_cl1452, zip_derived_cl98])).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl1458, plain,
% 42.61/6.55 ((((nil) = (sk2)) | ((sk1) != (nil)) | ~ (ssItem @ sk5))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl1456, zip_derived_cl7])).
% 42.61/6.55 thf(co1_7, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 ) ))).
% 42.61/6.55 thf(zf_stmt_6, negated_conjecture,
% 42.61/6.55 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_7])).
% 42.61/6.55 thf(zip_derived_cl191, plain, ((((nil) = (sk4)) | (ssItem @ sk5))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_6])).
% 42.61/6.55 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.61/6.55 thf(zip_derived_cl1462, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 42.61/6.55 thf(zip_derived_cl1463, plain, ((((sk1) != (nil)) | ((nil) = (sk2)))),
% 42.61/6.55 inference('clc', [status(thm)], [zip_derived_cl1458, zip_derived_cl1462])).
% 42.61/6.55 thf(zip_derived_cl1465, plain, (((nil) != (sk1))),
% 42.61/6.55 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl1463])).
% 42.61/6.55 thf(zip_derived_cl1473, plain, ( (memberP @ sk2 @ sk5)),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1472, zip_derived_cl1465])).
% 42.61/6.55 thf(clause169, axiom,
% 42.61/6.55 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 42.61/6.55 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 42.61/6.55 thf(zip_derived_cl168, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (memberP @ X0 @ X1)
% 42.61/6.55 | ~ (ssItem @ X1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 42.61/6.55 = (X0)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause169])).
% 42.61/6.55 thf(clause86, axiom,
% 42.61/6.55 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 42.61/6.55 thf(zip_derived_cl85, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause86])).
% 42.61/6.55 thf(co1_12, conjecture,
% 42.61/6.55 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 42.61/6.55 thf(zf_stmt_7, negated_conjecture,
% 42.61/6.55 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_12])).
% 42.61/6.55 thf(zip_derived_cl196, plain,
% 42.61/6.55 ((((nil) = (sk3)) | ((cons @ sk5 @ nil) = (sk3)))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_7])).
% 42.61/6.55 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 42.61/6.55 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 42.61/6.55 thf(zip_derived_cl1453, plain,
% 42.61/6.55 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl196, zip_derived_cl190, zip_derived_cl190])).
% 42.61/6.55 thf(clause96, axiom,
% 42.61/6.55 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 42.61/6.55 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 42.61/6.55 thf(zip_derived_cl95, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause96])).
% 42.61/6.55 thf(zip_derived_cl1602, plain,
% 42.61/6.55 ((((nil) = (sk1))
% 42.61/6.55 | ~ (ssItem @ sk5)
% 42.61/6.55 | ~ (ssList @ nil)
% 42.61/6.55 | ((tl @ sk1) = (nil)))),
% 42.61/6.55 inference('s_sup+', [status(thm)], [zip_derived_cl1453, zip_derived_cl95])).
% 42.61/6.55 thf(co1_8, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 ) ))).
% 42.61/6.55 thf(zf_stmt_8, negated_conjecture,
% 42.61/6.55 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_8])).
% 42.61/6.55 thf(zip_derived_cl192, plain, ((((nil) = (sk3)) | (ssItem @ sk5))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_8])).
% 42.61/6.55 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 42.61/6.55 thf(zip_derived_cl1469, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 42.61/6.55 thf(zip_derived_cl1465, plain, (((nil) != (sk1))),
% 42.61/6.55 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl1463])).
% 42.61/6.55 thf(zip_derived_cl1470, plain, ( (ssItem @ sk5)),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1469, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl1604, plain, ((((nil) = (sk1)) | ((tl @ sk1) = (nil)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1602, zip_derived_cl1470, zip_derived_cl7])).
% 42.61/6.55 thf(zip_derived_cl1465, plain, (((nil) != (sk1))),
% 42.61/6.55 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl1463])).
% 42.61/6.55 thf(zip_derived_cl1605, plain, (((tl @ sk1) = (nil))),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1604, zip_derived_cl1465])).
% 42.61/6.55 thf(clause104, axiom,
% 42.61/6.55 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 42.61/6.55 ( ( nil ) = ( U ) ))).
% 42.61/6.55 thf(zip_derived_cl103, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 42.61/6.55 | ((nil) = (X0)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause104])).
% 42.61/6.55 thf(zip_derived_cl1607, plain,
% 42.61/6.55 ((~ (ssList @ sk1)
% 42.61/6.55 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 42.61/6.55 | ((nil) = (sk1)))),
% 42.61/6.55 inference('s_sup+', [status(thm)],
% 42.61/6.55 [zip_derived_cl1605, zip_derived_cl103])).
% 42.61/6.55 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 42.61/6.55 thf(zf_stmt_9, negated_conjecture, (ssList @ sk1),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_1])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl1610, plain,
% 42.61/6.55 ((((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 42.61/6.55 thf(zip_derived_cl1465, plain, (((nil) != (sk1))),
% 42.61/6.55 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl1463])).
% 42.61/6.55 thf(zip_derived_cl1611, plain, (((cons @ (hd @ sk1) @ nil) = (sk1))),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1610, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl1453, plain,
% 42.61/6.55 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl196, zip_derived_cl190, zip_derived_cl190])).
% 42.61/6.55 thf(clause97, axiom,
% 42.61/6.55 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 42.61/6.55 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 42.61/6.55 thf(zip_derived_cl96, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause97])).
% 42.61/6.55 thf(zip_derived_cl1632, plain,
% 42.61/6.55 ((((nil) = (sk1))
% 42.61/6.55 | ~ (ssItem @ sk5)
% 42.61/6.55 | ~ (ssList @ nil)
% 42.61/6.55 | ((hd @ sk1) = (sk5)))),
% 42.61/6.55 inference('s_sup+', [status(thm)], [zip_derived_cl1453, zip_derived_cl96])).
% 42.61/6.55 thf(zip_derived_cl1470, plain, ( (ssItem @ sk5)),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1469, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl1635, plain, ((((nil) = (sk1)) | ((hd @ sk1) = (sk5)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1632, zip_derived_cl1470, zip_derived_cl7])).
% 42.61/6.55 thf(zip_derived_cl1465, plain, (((nil) != (sk1))),
% 42.61/6.55 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl1463])).
% 42.61/6.55 thf(zip_derived_cl1636, plain, (((hd @ sk1) = (sk5))),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1635, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl1651, plain, (((cons @ sk5 @ nil) = (sk1))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1611, zip_derived_cl1636])).
% 42.61/6.55 thf(clause120, axiom,
% 42.61/6.55 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 42.61/6.55 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 42.61/6.55 thf(zip_derived_cl119, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssItem @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause120])).
% 42.61/6.55 thf(zip_derived_cl1712, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (ssItem @ sk5)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 42.61/6.55 inference('s_sup+', [status(thm)],
% 42.61/6.55 [zip_derived_cl1651, zip_derived_cl119])).
% 42.61/6.55 thf(zip_derived_cl1470, plain, ( (ssItem @ sk5)),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1469, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl1713, plain,
% 42.61/6.55 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1712, zip_derived_cl1470])).
% 42.61/6.55 thf(zip_derived_cl1651, plain, (((cons @ sk5 @ nil) = (sk1))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1611, zip_derived_cl1636])).
% 42.61/6.55 thf(clause138, axiom,
% 42.61/6.55 (( ( U ) != ( V ) ) | ( ~( ssList @ W ) ) | ( ~( ssItem @ V ) ) |
% 42.61/6.55 ( ~( ssItem @ U ) ) | ( memberP @ ( cons @ V @ W ) @ U ))).
% 42.61/6.55 thf(zip_derived_cl137, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (((X1) != (X0))
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssItem @ X0)
% 42.61/6.55 | ~ (ssItem @ X1)
% 42.61/6.55 | (memberP @ (cons @ X0 @ X2) @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause138])).
% 42.61/6.55 thf(zip_derived_cl1847, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 ( (memberP @ (cons @ X0 @ X1) @ X0)
% 42.61/6.55 | ~ (ssItem @ X0)
% 42.61/6.55 | ~ (ssItem @ X0)
% 42.61/6.55 | ~ (ssList @ X1))),
% 42.61/6.55 inference('eq_res', [status(thm)], [zip_derived_cl137])).
% 42.61/6.55 thf(zip_derived_cl1848, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X1)
% 42.61/6.55 | ~ (ssItem @ X0)
% 42.61/6.55 | (memberP @ (cons @ X0 @ X1) @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 42.61/6.55 thf(zip_derived_cl1965, plain,
% 42.61/6.55 ((~ (ssList @ nil) | ~ (ssItem @ sk5) | (memberP @ sk1 @ sk5))),
% 42.61/6.55 inference('s_sup+', [status(thm)],
% 42.61/6.55 [zip_derived_cl1651, zip_derived_cl1848])).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl1470, plain, ( (ssItem @ sk5)),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1469, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl1967, plain, ( (memberP @ sk1 @ sk5)),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1965, zip_derived_cl7, zip_derived_cl1470])).
% 42.61/6.55 thf(zip_derived_cl1651, plain, (((cons @ sk5 @ nil) = (sk1))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1611, zip_derived_cl1636])).
% 42.61/6.55 thf(zip_derived_cl168, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (memberP @ X0 @ X1)
% 42.61/6.55 | ~ (ssItem @ X1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 42.61/6.55 = (X0)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause169])).
% 42.61/6.55 thf(clause72, axiom,
% 42.61/6.55 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 42.61/6.55 thf(zip_derived_cl71, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause72])).
% 42.61/6.55 thf(clause179, axiom,
% 42.61/6.55 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 42.61/6.55 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 42.61/6.55 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 42.61/6.55 thf(zip_derived_cl178, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.61/6.55 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 42.61/6.55 | ~ (ssList @ X4)
% 42.61/6.55 | ~ (ssList @ X3)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssItem @ X2)
% 42.61/6.55 | ~ (duplicatefreeP @ X0)
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause179])).
% 42.61/6.55 thf(zip_derived_cl1407, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.61/6.55 ( (ssItem @ X1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssItem @ X3)
% 42.61/6.55 | ~ (ssList @ X5)
% 42.61/6.55 | ~ (ssList @ X4)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 42.61/6.55 inference('dp-resolution', [status(thm)],
% 42.61/6.55 [zip_derived_cl71, zip_derived_cl178])).
% 42.61/6.55 thf(zip_derived_cl3845, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 42.61/6.55 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ X4)
% 42.61/6.55 | ~ (ssList @ X5)
% 42.61/6.55 | ~ (ssItem @ X3)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | (ssItem @ X1))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl1407])).
% 42.61/6.55 thf(zip_derived_cl3857, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (ssItem @ X3)
% 42.61/6.55 | ~ (memberP @ X0 @ X3)
% 42.61/6.55 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 42.61/6.55 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 42.61/6.55 | ~ (ssItem @ X3)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (ssItem @ X4))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl168, zip_derived_cl3845])).
% 42.61/6.55 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 42.61/6.55 thf(zip_derived_cl51, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause52])).
% 42.61/6.55 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 42.61/6.55 thf(zip_derived_cl52, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause53])).
% 42.61/6.55 thf(zip_derived_cl3882, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (ssItem @ X3)
% 42.61/6.55 | ~ (memberP @ X0 @ X3)
% 42.61/6.55 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssItem @ X3)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (ssItem @ X4))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl3857, zip_derived_cl51, zip_derived_cl52])).
% 42.61/6.55 thf(zip_derived_cl3883, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 42.61/6.55 ( (ssItem @ X4)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 42.61/6.55 | ~ (memberP @ X0 @ X3)
% 42.61/6.55 | ~ (ssItem @ X3)
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl3882])).
% 42.61/6.55 thf(zip_derived_cl4680, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 ( (ssItem @ X2)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ nil)
% 42.61/6.55 | ((app @ X1 @ sk1) != (X0))
% 42.61/6.55 | ~ (memberP @ X1 @ sk5)
% 42.61/6.55 | ~ (ssItem @ sk5)
% 42.61/6.55 | ~ (ssList @ X1))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1651, zip_derived_cl3883])).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl1470, plain, ( (ssItem @ sk5)),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1469, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl4697, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 ( (ssItem @ X2)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((app @ X1 @ sk1) != (X0))
% 42.61/6.55 | ~ (memberP @ X1 @ sk5)
% 42.61/6.55 | ~ (ssList @ X1))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl4680, zip_derived_cl7, zip_derived_cl1470])).
% 42.61/6.55 thf(zip_derived_cl5582, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 ( (ssItem @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ((app @ sk1 @ sk1) != (X1))
% 42.61/6.55 | ~ (ssList @ sk1))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1967, zip_derived_cl4697])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl5588, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk1 @ sk1) != (X1)))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl5582, zip_derived_cl185])).
% 42.61/6.55 thf(zip_derived_cl5623, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ sk1)
% 42.61/6.55 | (ssItem @ X1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((cons @ sk5 @ sk1) != (X0)))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1713, zip_derived_cl5588])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl5628, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 ( (ssItem @ X1) | ~ (ssList @ X0) | ((cons @ sk5 @ sk1) != (X0)))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl5623, zip_derived_cl185])).
% 42.61/6.55 thf(zip_derived_cl5710, plain,
% 42.61/6.55 (![X0 : $i]: (~ (ssList @ (cons @ sk5 @ sk1)) | (ssItem @ X0))),
% 42.61/6.55 inference('eq_res', [status(thm)], [zip_derived_cl5628])).
% 42.61/6.55 thf(zip_derived_cl5770, plain,
% 42.61/6.55 (![X0 : $i]: (~ (ssList @ sk1) | ~ (ssItem @ sk5) | (ssItem @ X0))),
% 42.61/6.55 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl5710])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl1470, plain, ( (ssItem @ sk5)),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1469, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl5773, plain, (![X0 : $i]: (ssItem @ X0)),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl5770, zip_derived_cl185, zip_derived_cl1470])).
% 42.61/6.55 thf(zip_derived_cl5817, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (memberP @ X0 @ X1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 42.61/6.55 = (X0)))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl5773])).
% 42.61/6.55 thf(zip_derived_cl1713, plain,
% 42.61/6.55 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1712, zip_derived_cl1470])).
% 42.61/6.55 thf(clause149, axiom,
% 42.61/6.55 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 42.61/6.55 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 42.61/6.55 thf(zip_derived_cl148, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause149])).
% 42.61/6.55 thf(clause173, axiom,
% 42.61/6.55 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 42.61/6.55 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 42.61/6.55 ( segmentP @ X @ V ))).
% 42.61/6.55 thf(zip_derived_cl172, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.61/6.55 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 42.61/6.55 | ~ (ssList @ X3)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | (segmentP @ X0 @ X2))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause173])).
% 42.61/6.55 thf(zip_derived_cl3417, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.61/6.55 (~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X3)
% 42.61/6.55 | (segmentP @ X3 @ X1))),
% 42.61/6.55 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 42.61/6.55 thf(zip_derived_cl3442, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.61/6.55 ( (segmentP @ X3 @ X1)
% 42.61/6.55 | ~ (ssList @ X3)
% 42.61/6.55 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X2))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl3417])).
% 42.61/6.55 thf(zip_derived_cl5451, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | (segmentP @ X1 @ sk1)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ sk1)
% 42.61/6.55 | ~ (ssList @ X2))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1713, zip_derived_cl3442])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl5479, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | (segmentP @ X1 @ sk1)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X2))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl5451, zip_derived_cl185])).
% 42.61/6.55 thf(zip_derived_cl5480, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (~ (ssList @ X2)
% 42.61/6.55 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (segmentP @ X1 @ sk1)
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl5479])).
% 42.61/6.55 thf(zip_derived_cl33595, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (memberP @ X0 @ sk5)
% 42.61/6.55 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 42.61/6.55 | ((X0) != (X1))
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (segmentP @ X1 @ sk1)
% 42.61/6.55 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl5817, zip_derived_cl5480])).
% 42.61/6.55 thf(zip_derived_cl52, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause53])).
% 42.61/6.55 thf(zip_derived_cl51, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause52])).
% 42.61/6.55 thf(zip_derived_cl33680, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (memberP @ X0 @ sk5)
% 42.61/6.55 | ((X0) != (X1))
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (segmentP @ X1 @ sk1))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl33595, zip_derived_cl52, zip_derived_cl51])).
% 42.61/6.55 thf(zip_derived_cl33940, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 ( (segmentP @ X0 @ sk1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (memberP @ X0 @ sk5)
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('eq_res', [status(thm)], [zip_derived_cl33680])).
% 42.61/6.55 thf(zip_derived_cl33941, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl33940])).
% 42.61/6.55 thf(clause132, axiom,
% 42.61/6.55 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 42.61/6.55 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 42.61/6.55 thf(zip_derived_cl131, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (frontsegP @ X0 @ X1)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause132])).
% 42.61/6.55 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 42.61/6.55 thf(zip_derived_cl73, plain,
% 42.61/6.55 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause74])).
% 42.61/6.55 thf(zip_derived_cl172, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 42.61/6.55 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 42.61/6.55 | ~ (ssList @ X3)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | (segmentP @ X0 @ X2))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause173])).
% 42.61/6.55 thf(zip_derived_cl3424, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ((app @ X0 @ X2) != (X1))
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ nil)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (segmentP @ X1 @ X0))),
% 42.61/6.55 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl3452, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ((app @ X0 @ X2) != (X1))
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (segmentP @ X1 @ X0))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl3424, zip_derived_cl7])).
% 42.61/6.55 thf(zip_derived_cl3453, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 ( (segmentP @ X1 @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ((app @ X0 @ X2) != (X1))
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl3452])).
% 42.61/6.55 thf(zip_derived_cl3544, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (frontsegP @ X0 @ X2)
% 42.61/6.55 | (segmentP @ X1 @ X2)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ (skaf45 @ X0 @ X2))
% 42.61/6.55 | ((X0) != (X1))
% 42.61/6.55 | ~ (ssList @ X2))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl131, zip_derived_cl3453])).
% 42.61/6.55 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 42.61/6.55 thf(zip_derived_cl50, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause51])).
% 42.61/6.55 thf(zip_derived_cl3563, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (frontsegP @ X0 @ X2)
% 42.61/6.55 | (segmentP @ X1 @ X2)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ((X0) != (X1))
% 42.61/6.55 | ~ (ssList @ X2))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl3544, zip_derived_cl50])).
% 42.61/6.55 thf(zip_derived_cl3564, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (((X0) != (X1))
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (segmentP @ X1 @ X2)
% 42.61/6.55 | ~ (frontsegP @ X0 @ X2)
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl3563])).
% 42.61/6.55 thf(zip_derived_cl3689, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (frontsegP @ X0 @ X1)
% 42.61/6.55 | (segmentP @ X0 @ X1)
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('eq_res', [status(thm)], [zip_derived_cl3564])).
% 42.61/6.55 thf(zip_derived_cl3690, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 ( (segmentP @ X0 @ X1)
% 42.61/6.55 | ~ (frontsegP @ X0 @ X1)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl3689])).
% 42.61/6.55 thf(clause100, axiom,
% 42.61/6.55 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 42.61/6.55 ( ( V ) = ( U ) ))).
% 42.61/6.55 thf(zip_derived_cl99, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause100])).
% 42.61/6.55 thf(co1_16, conjecture,
% 42.61/6.55 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 42.61/6.55 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 42.61/6.55 thf(zf_stmt_10, negated_conjecture,
% 42.61/6.55 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 42.61/6.55 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) )),
% 42.61/6.55 inference('cnf.neg', [status(esa)], [co1_16])).
% 42.61/6.55 thf(zip_derived_cl200, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (segmentP @ sk1 @ X0)
% 42.61/6.55 | ~ (segmentP @ sk2 @ X0)
% 42.61/6.55 | ~ (neq @ X0 @ nil)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((nil) = (sk2)))),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_10])).
% 42.61/6.55 thf(zip_derived_cl1430, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (((X0) = (nil))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ nil)
% 42.61/6.55 | ((nil) = (sk2))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (segmentP @ sk2 @ X0)
% 42.61/6.55 | ~ (segmentP @ sk1 @ X0))),
% 42.61/6.55 inference('dp-resolution', [status(thm)],
% 42.61/6.55 [zip_derived_cl99, zip_derived_cl200])).
% 42.61/6.55 thf(zip_derived_cl1582, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (segmentP @ sk1 @ X0)
% 42.61/6.55 | ~ (segmentP @ sk2 @ X0)
% 42.61/6.55 | ((nil) = (sk2))
% 42.61/6.55 | ~ (ssList @ nil)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((X0) = (nil)))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl1430])).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl1583, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (segmentP @ sk1 @ X0)
% 42.61/6.55 | ~ (segmentP @ sk2 @ X0)
% 42.61/6.55 | ((nil) = (sk2))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((X0) = (nil)))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl1582, zip_derived_cl7])).
% 42.61/6.55 thf(zip_derived_cl3817, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (ssList @ sk1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (frontsegP @ sk1 @ X0)
% 42.61/6.55 | ~ (segmentP @ sk2 @ X0)
% 42.61/6.55 | ((nil) = (sk2))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((X0) = (nil)))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl3690, zip_derived_cl1583])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl3826, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (frontsegP @ sk1 @ X0)
% 42.61/6.55 | ~ (segmentP @ sk2 @ X0)
% 42.61/6.55 | ((nil) = (sk2))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ((X0) = (nil)))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl3817, zip_derived_cl185])).
% 42.61/6.55 thf(zip_derived_cl3827, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (((X0) = (nil))
% 42.61/6.55 | ((nil) = (sk2))
% 42.61/6.55 | ~ (segmentP @ sk2 @ X0)
% 42.61/6.55 | ~ (frontsegP @ sk1 @ X0)
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl3826])).
% 42.61/6.55 thf(zip_derived_cl35188, plain,
% 42.61/6.55 ((~ (ssList @ sk2)
% 42.61/6.55 | ~ (memberP @ sk2 @ sk5)
% 42.61/6.55 | ((sk1) = (nil))
% 42.61/6.55 | ((nil) = (sk2))
% 42.61/6.55 | ~ (frontsegP @ sk1 @ sk1)
% 42.61/6.55 | ~ (ssList @ sk1))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl33941, zip_derived_cl3827])).
% 42.61/6.55 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_4])).
% 42.61/6.55 thf(zip_derived_cl1473, plain, ( (memberP @ sk2 @ sk5)),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1472, zip_derived_cl1465])).
% 42.61/6.55 thf(zip_derived_cl1651, plain, (((cons @ sk5 @ nil) = (sk1))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1611, zip_derived_cl1636])).
% 42.61/6.55 thf(zip_derived_cl1713, plain,
% 42.61/6.55 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1712, zip_derived_cl1470])).
% 42.61/6.55 thf(clause144, axiom,
% 42.61/6.55 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 42.61/6.55 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 42.61/6.55 thf(zip_derived_cl143, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.61/6.55 (((app @ X1 @ X2) != (X0))
% 42.61/6.55 | ~ (ssList @ X2)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | (frontsegP @ X0 @ X1))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause144])).
% 42.61/6.55 thf(zip_derived_cl2152, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ((cons @ sk5 @ X0) != (X1))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ sk1)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (frontsegP @ X1 @ sk1))),
% 42.61/6.55 inference('s_sup-', [status(thm)],
% 42.61/6.55 [zip_derived_cl1713, zip_derived_cl143])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl2165, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ((cons @ sk5 @ X0) != (X1))
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | (frontsegP @ X1 @ sk1))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl2152, zip_derived_cl185])).
% 42.61/6.55 thf(zip_derived_cl2166, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 ( (frontsegP @ X1 @ sk1)
% 42.61/6.55 | ~ (ssList @ X1)
% 42.61/6.55 | ((cons @ sk5 @ X0) != (X1))
% 42.61/6.55 | ~ (ssList @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl2165])).
% 42.61/6.55 thf(zip_derived_cl2170, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ (cons @ sk5 @ X0))
% 42.61/6.55 | (frontsegP @ (cons @ sk5 @ X0) @ sk1))),
% 42.61/6.55 inference('eq_res', [status(thm)], [zip_derived_cl2166])).
% 42.61/6.55 thf(zip_derived_cl1713, plain,
% 42.61/6.55 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1712, zip_derived_cl1470])).
% 42.61/6.55 thf(clause85, axiom,
% 42.61/6.55 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 42.61/6.55 thf(zip_derived_cl84, plain,
% 42.61/6.55 (![X0 : $i, X1 : $i]:
% 42.61/6.55 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause85])).
% 42.61/6.55 thf(zip_derived_cl1728, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ X0)
% 42.61/6.55 | ~ (ssList @ sk1)
% 42.61/6.55 | (ssList @ (cons @ sk5 @ X0)))),
% 42.61/6.55 inference('s_sup+', [status(thm)], [zip_derived_cl1713, zip_derived_cl84])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl1732, plain,
% 42.61/6.55 (![X0 : $i]:
% 42.61/6.55 (~ (ssList @ X0) | ~ (ssList @ X0) | (ssList @ (cons @ sk5 @ X0)))),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl1728, zip_derived_cl185])).
% 42.61/6.55 thf(zip_derived_cl1733, plain,
% 42.61/6.55 (![X0 : $i]: ( (ssList @ (cons @ sk5 @ X0)) | ~ (ssList @ X0))),
% 42.61/6.55 inference('simplify', [status(thm)], [zip_derived_cl1732])).
% 42.61/6.55 thf(zip_derived_cl2237, plain,
% 42.61/6.55 (![X0 : $i]: ( (frontsegP @ (cons @ sk5 @ X0) @ sk1) | ~ (ssList @ X0))),
% 42.61/6.55 inference('clc', [status(thm)], [zip_derived_cl2170, zip_derived_cl1733])).
% 42.61/6.55 thf(zip_derived_cl2240, plain,
% 42.61/6.55 (( (frontsegP @ sk1 @ sk1) | ~ (ssList @ nil))),
% 42.61/6.55 inference('s_sup+', [status(thm)],
% 42.61/6.55 [zip_derived_cl1651, zip_derived_cl2237])).
% 42.61/6.55 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 42.61/6.55 inference('cnf', [status(esa)], [clause8])).
% 42.61/6.55 thf(zip_derived_cl2241, plain, ( (frontsegP @ sk1 @ sk1)),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl2240, zip_derived_cl7])).
% 42.61/6.55 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 42.61/6.55 inference('cnf', [status(esa)], [zf_stmt_9])).
% 42.61/6.55 thf(zip_derived_cl35223, plain, ((((sk1) = (nil)) | ((nil) = (sk2)))),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl35188, zip_derived_cl186, zip_derived_cl1473,
% 42.61/6.55 zip_derived_cl2241, zip_derived_cl185])).
% 42.61/6.55 thf(zip_derived_cl1465, plain, (((nil) != (sk1))),
% 42.61/6.55 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl1463])).
% 42.61/6.55 thf(zip_derived_cl35224, plain, (((nil) = (sk2))),
% 42.61/6.55 inference('simplify_reflect-', [status(thm)],
% 42.61/6.55 [zip_derived_cl35223, zip_derived_cl1465])).
% 42.61/6.55 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 42.61/6.55 thf(zip_derived_cl70, plain,
% 42.61/6.55 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 42.61/6.55 inference('cnf', [status(esa)], [clause71])).
% 42.61/6.55 thf(zip_derived_cl5773, plain, (![X0 : $i]: (ssItem @ X0)),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl5770, zip_derived_cl185, zip_derived_cl1470])).
% 42.61/6.55 thf(zip_derived_cl5782, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 42.61/6.55 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5773])).
% 42.61/6.55 thf(zip_derived_cl35228, plain, ($false),
% 42.61/6.55 inference('demod', [status(thm)],
% 42.61/6.55 [zip_derived_cl1473, zip_derived_cl35224, zip_derived_cl5782])).
% 42.61/6.55
% 42.61/6.55 % SZS output end Refutation
% 42.61/6.55
% 42.61/6.55
% 42.61/6.55 % Terminating...
% 42.61/6.60 % Runner terminated.
% 42.61/6.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------