TSTP Solution File: SWC383-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC383-1 : 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.vGp0nD54Df true
% Computer : n016.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 21:31:11 EDT 2023
% Result : Unsatisfiable 67.70s 10.36s
% Output : Refutation 67.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC383-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vGp0nD54Df true
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 17:45:00 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.58/0.68 % Total configuration time : 435
% 0.58/0.68 % Estimated wc time : 1092
% 0.58/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 67.70/10.36 % Solved by fo/fo6_bce.sh.
% 67.70/10.36 % BCE start: 201
% 67.70/10.36 % BCE eliminated: 2
% 67.70/10.36 % PE start: 199
% 67.70/10.36 logic: eq
% 67.70/10.36 % PE eliminated: 7
% 67.70/10.36 % done 4948 iterations in 9.556s
% 67.70/10.36 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 67.70/10.36 % SZS output start Refutation
% 67.70/10.36 thf(nil_type, type, nil: $i).
% 67.70/10.36 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 67.70/10.36 thf(cons_type, type, cons: $i > $i > $i).
% 67.70/10.36 thf(sk2_type, type, sk2: $i).
% 67.70/10.36 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 67.70/10.36 thf(sk4_type, type, sk4: $i).
% 67.70/10.36 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 67.70/10.36 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 67.70/10.36 thf(tl_type, type, tl: $i > $i).
% 67.70/10.36 thf(memberP_type, type, memberP: $i > $i > $o).
% 67.70/10.36 thf(hd_type, type, hd: $i > $i).
% 67.70/10.36 thf(ssItem_type, type, ssItem: $i > $o).
% 67.70/10.36 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 67.70/10.36 thf(skaf82_type, type, skaf82: $i > $i).
% 67.70/10.36 thf(sk5_type, type, sk5: $i).
% 67.70/10.36 thf(sk3_type, type, sk3: $i).
% 67.70/10.36 thf(skaf83_type, type, skaf83: $i > $i).
% 67.70/10.36 thf(neq_type, type, neq: $i > $i > $o).
% 67.70/10.36 thf(app_type, type, app: $i > $i > $i).
% 67.70/10.36 thf(ssList_type, type, ssList: $i > $o).
% 67.70/10.37 thf(sk1_type, type, sk1: $i).
% 67.70/10.37 thf(singletonP_type, type, singletonP: $i > $o).
% 67.70/10.37 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 67.70/10.37 thf(clause132, axiom,
% 67.70/10.37 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 67.70/10.37 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 67.70/10.37 thf(zip_derived_cl131, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (frontsegP @ X0 @ X1)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause132])).
% 67.70/10.37 thf(co1_8, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 ) ))).
% 67.70/10.37 thf(zf_stmt_0, negated_conjecture,
% 67.70/10.37 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 )),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_8])).
% 67.70/10.37 thf(zip_derived_cl192, plain, ((((nil) = (sk4)) | (ssItem @ sk5))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 67.70/10.37 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 67.70/10.37 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_5])).
% 67.70/10.37 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 67.70/10.37 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 67.70/10.37 thf(co1_10, conjecture,
% 67.70/10.37 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 67.70/10.37 thf(zf_stmt_2, negated_conjecture,
% 67.70/10.37 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_10])).
% 67.70/10.37 thf(zip_derived_cl194, plain,
% 67.70/10.37 ((((nil) = (sk4)) | ((cons @ sk5 @ nil) = (sk3)))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_2])).
% 67.70/10.37 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 67.70/10.37 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 67.70/10.37 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_6])).
% 67.70/10.37 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_3])).
% 67.70/10.37 thf(zip_derived_cl1387, plain,
% 67.70/10.37 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl190])).
% 67.70/10.37 thf(clause120, axiom,
% 67.70/10.37 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 67.70/10.37 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 67.70/10.37 thf(zip_derived_cl119, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssItem @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause120])).
% 67.70/10.37 thf(zip_derived_cl1623, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (sk2))
% 67.70/10.37 | ~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl1387, zip_derived_cl119])).
% 67.70/10.37 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 67.70/10.37 thf(zf_stmt_4, negated_conjecture, (neq @ sk2 @ nil),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_7])).
% 67.70/10.37 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 67.70/10.37 thf(clause115, axiom,
% 67.70/10.37 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 67.70/10.37 ( ~( ssList @ U ) ))).
% 67.70/10.37 thf(zip_derived_cl114, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (((X1) != (X0))
% 67.70/10.37 | ~ (neq @ X1 @ X0)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause115])).
% 67.70/10.37 thf(zip_derived_cl1359, plain,
% 67.70/10.37 ((~ (ssList @ sk2) | ~ (ssList @ nil) | ((sk2) != (nil)))),
% 67.70/10.37 inference('dp-resolution', [status(thm)],
% 67.70/10.37 [zip_derived_cl191, zip_derived_cl114])).
% 67.70/10.37 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 67.70/10.37 thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_2])).
% 67.70/10.37 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_5])).
% 67.70/10.37 thf(clause8, axiom, (ssList @ nil)).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1625, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1623, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl1639, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (sk2))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1394, zip_derived_cl1625])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1641, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1639, zip_derived_cl1395])).
% 67.70/10.37 thf(clause133, axiom,
% 67.70/10.37 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 67.70/10.37 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 67.70/10.37 thf(zip_derived_cl132, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((nil) = (X1))
% 67.70/10.37 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause133])).
% 67.70/10.37 thf(zip_derived_cl1795, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ sk1)
% 67.70/10.37 | ((nil) = (sk1))
% 67.70/10.37 | ((tl @ (cons @ sk5 @ X0)) = (app @ (tl @ sk1) @ X0)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl1641, zip_derived_cl132])).
% 67.70/10.37 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 67.70/10.37 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_1])).
% 67.70/10.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.70/10.37 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 67.70/10.37 thf(zip_derived_cl1387, plain,
% 67.70/10.37 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl190])).
% 67.70/10.37 thf(clause96, axiom,
% 67.70/10.37 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 67.70/10.37 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 67.70/10.37 thf(zip_derived_cl95, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause96])).
% 67.70/10.37 thf(zip_derived_cl1496, plain,
% 67.70/10.37 ((((nil) = (sk2))
% 67.70/10.37 | ~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ nil)
% 67.70/10.37 | ((tl @ sk1) = (nil)))),
% 67.70/10.37 inference('s_sup+', [status(thm)], [zip_derived_cl1387, zip_derived_cl95])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl1498, plain,
% 67.70/10.37 ((((nil) = (sk2)) | ~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl1496, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1499, plain, ((~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1498, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl1501, plain, ((((nil) = (sk2)) | ((tl @ sk1) = (nil)))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1394, zip_derived_cl1499])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1503, plain, (((tl @ sk1) = (nil))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1501, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl1805, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((nil) = (sk1))
% 67.70/10.37 | ((tl @ (cons @ sk5 @ X0)) = (app @ nil @ X0)))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1795, zip_derived_cl185, zip_derived_cl1503])).
% 67.70/10.37 thf(zip_derived_cl1806, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((tl @ (cons @ sk5 @ X0)) = (app @ nil @ X0))
% 67.70/10.37 | ((nil) = (sk1))
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl1805])).
% 67.70/10.37 thf(clause104, axiom,
% 67.70/10.37 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 67.70/10.37 ( ( nil ) = ( U ) ))).
% 67.70/10.37 thf(zip_derived_cl103, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 67.70/10.37 | ((nil) = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause104])).
% 67.70/10.37 thf(zip_derived_cl1844, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((nil) = (sk1))
% 67.70/10.37 | ~ (ssList @ (cons @ sk5 @ X0))
% 67.70/10.37 | ((cons @ (hd @ (cons @ sk5 @ X0)) @ (app @ nil @ X0))
% 67.70/10.37 = (cons @ sk5 @ X0))
% 67.70/10.37 | ((nil) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl1806, zip_derived_cl103])).
% 67.70/10.37 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 67.70/10.37 thf(clause145, axiom,
% 67.70/10.37 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 67.70/10.37 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 67.70/10.37 thf(zip_derived_cl144, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (((nil) != (X0))
% 67.70/10.37 | ((nil) != (X1))
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ X0 @ X1) = (nil)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause145])).
% 67.70/10.37 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 67.70/10.37 thf(zip_derived_cl1641, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1639, zip_derived_cl1395])).
% 67.70/10.37 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 67.70/10.37 thf(zip_derived_cl72, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause73])).
% 67.70/10.37 thf(zip_derived_cl1654, plain,
% 67.70/10.37 ((~ (ssList @ nil) | ~ (ssList @ sk1) | ((cons @ sk5 @ nil) = (sk1)))),
% 67.70/10.37 inference('s_sup+', [status(thm)], [zip_derived_cl1641, zip_derived_cl72])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.70/10.37 thf(zip_derived_cl1661, plain, (((cons @ sk5 @ nil) = (sk1))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1654, zip_derived_cl7, zip_derived_cl185])).
% 67.70/10.37 thf(clause157, axiom,
% 67.70/10.37 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 67.70/10.37 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 67.70/10.37 thf(zip_derived_cl156, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssItem @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause157])).
% 67.70/10.37 thf(zip_derived_cl2517, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ nil)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((cons @ sk5 @ (app @ nil @ X0)) = (app @ sk1 @ X0)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl1661, zip_derived_cl156])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl2519, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((cons @ sk5 @ (app @ nil @ X0)) = (app @ sk1 @ X0)))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl2517, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl2547, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (sk2))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((cons @ sk5 @ (app @ nil @ X0)) = (app @ sk1 @ X0)))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1394, zip_derived_cl2519])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl2549, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((cons @ sk5 @ (app @ nil @ X0)) = (app @ sk1 @ X0)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl2547, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl2607, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ nil)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((nil) != (X0))
% 67.70/10.37 | ((nil) != (nil))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((cons @ sk5 @ nil) = (app @ sk1 @ X0)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl144, zip_derived_cl2549])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl1661, plain, (((cons @ sk5 @ nil) = (sk1))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1654, zip_derived_cl7, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl2612, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((nil) != (X0))
% 67.70/10.37 | ((nil) != (nil))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((sk1) = (app @ sk1 @ X0)))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl2607, zip_derived_cl7, zip_derived_cl1661])).
% 67.70/10.37 thf(zip_derived_cl2613, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((sk1) = (app @ sk1 @ X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl2612])).
% 67.70/10.37 thf(zip_derived_cl1641, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1639, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl2812, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((nil) != (X0))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((sk1) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl2613, zip_derived_cl1641])).
% 67.70/10.37 thf(zip_derived_cl2860, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((sk1) = (cons @ sk5 @ X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl2812])).
% 67.70/10.37 thf(clause99, axiom,
% 67.70/10.37 (( ( cons @ U @ V ) != ( V ) ) | ( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ))).
% 67.70/10.37 thf(zip_derived_cl98, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (((cons @ X1 @ X0) != (X0)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause99])).
% 67.70/10.37 thf(zip_derived_cl2894, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((nil) != (X0))
% 67.70/10.37 | ((sk1) != (X0))
% 67.70/10.37 | ~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('s_sup-', [status(thm)], [zip_derived_cl2860, zip_derived_cl98])).
% 67.70/10.37 thf(zip_derived_cl2929, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssItem @ sk5)
% 67.70/10.37 | ((sk1) != (X0))
% 67.70/10.37 | ((nil) != (X0))
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl2894])).
% 67.70/10.37 thf(zip_derived_cl3088, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (sk2)) | ((sk1) != (X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1394, zip_derived_cl2929])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl3090, plain,
% 67.70/10.37 (![X0 : $i]: (((sk1) != (X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl3088, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl3110, plain, ((~ (ssList @ sk1) | ((nil) != (sk1)))),
% 67.70/10.37 inference('eq_res', [status(thm)], [zip_derived_cl3090])).
% 67.70/10.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.70/10.37 thf(zip_derived_cl3111, plain, (((nil) != (sk1))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl3110, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl5168, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ (cons @ sk5 @ X0))
% 67.70/10.37 | ((cons @ (hd @ (cons @ sk5 @ X0)) @ (app @ nil @ X0))
% 67.70/10.37 = (cons @ sk5 @ X0))
% 67.70/10.37 | ((nil) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1844, zip_derived_cl3111])).
% 67.70/10.37 thf(zip_derived_cl1641, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1639, zip_derived_cl1395])).
% 67.70/10.37 thf(clause85, axiom,
% 67.70/10.37 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 67.70/10.37 thf(zip_derived_cl84, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause85])).
% 67.70/10.37 thf(zip_derived_cl1651, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ sk1)
% 67.70/10.37 | (ssList @ (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('s_sup+', [status(thm)], [zip_derived_cl1641, zip_derived_cl84])).
% 67.70/10.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.70/10.37 thf(zip_derived_cl1655, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0) | ~ (ssList @ X0) | (ssList @ (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl1651, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl1656, plain,
% 67.70/10.37 (![X0 : $i]: ( (ssList @ (cons @ sk5 @ X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl1655])).
% 67.70/10.37 thf(zip_derived_cl5169, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (cons @ sk5 @ X0))
% 67.70/10.37 | ((cons @ (hd @ (cons @ sk5 @ X0)) @ (app @ nil @ X0))
% 67.70/10.37 = (cons @ sk5 @ X0))
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('clc', [status(thm)], [zip_derived_cl5168, zip_derived_cl1656])).
% 67.70/10.37 thf(zip_derived_cl5173, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ nil)
% 67.70/10.37 | ~ (frontsegP @ X0 @ nil)
% 67.70/10.37 | ((nil) = (cons @ sk5 @ (skaf45 @ X0 @ nil)))
% 67.70/10.37 | ((cons @ (hd @ (cons @ sk5 @ (skaf45 @ X0 @ nil))) @ X0)
% 67.70/10.37 = (cons @ sk5 @ (skaf45 @ X0 @ nil)))
% 67.70/10.37 | ~ (ssList @ (skaf45 @ X0 @ nil)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl131, zip_derived_cl5169])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 67.70/10.37 thf(zip_derived_cl50, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause51])).
% 67.70/10.37 thf(zip_derived_cl5187, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (frontsegP @ X0 @ nil)
% 67.70/10.37 | ((nil) = (cons @ sk5 @ (skaf45 @ X0 @ nil)))
% 67.70/10.37 | ((cons @ (hd @ (cons @ sk5 @ (skaf45 @ X0 @ nil))) @ X0)
% 67.70/10.37 = (cons @ sk5 @ (skaf45 @ X0 @ nil))))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl5173, zip_derived_cl7, zip_derived_cl50])).
% 67.70/10.37 thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 67.70/10.37 thf(zip_derived_cl59, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause60])).
% 67.70/10.37 thf(zip_derived_cl25323, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((cons @ (hd @ (cons @ sk5 @ (skaf45 @ X0 @ nil))) @ X0)
% 67.70/10.37 = (cons @ sk5 @ (skaf45 @ X0 @ nil)))
% 67.70/10.37 | ((nil) = (cons @ sk5 @ (skaf45 @ X0 @ nil)))
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('clc', [status(thm)], [zip_derived_cl5187, zip_derived_cl59])).
% 67.70/10.37 thf(clause169, axiom,
% 67.70/10.37 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 67.70/10.37 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 67.70/10.37 thf(zip_derived_cl168, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (memberP @ X0 @ X1)
% 67.70/10.37 | ~ (ssItem @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 67.70/10.37 = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause169])).
% 67.70/10.37 thf(zip_derived_cl84, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause85])).
% 67.70/10.37 thf(co1_11, conjecture,
% 67.70/10.37 (~( ( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 67.70/10.37 thf(zf_stmt_7, negated_conjecture,
% 67.70/10.37 (( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 )),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_11])).
% 67.70/10.37 thf(zip_derived_cl195, plain, ((((nil) = (sk4)) | (memberP @ sk4 @ sk5))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_7])).
% 67.70/10.37 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 67.70/10.37 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 67.70/10.37 thf(zip_derived_cl1399, plain, ((((nil) = (sk2)) | (memberP @ sk2 @ sk5))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl189])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1400, plain, ( (memberP @ sk2 @ sk5)),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1399, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 67.70/10.37 thf(zip_derived_cl1661, plain, (((cons @ sk5 @ nil) = (sk1))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1654, zip_derived_cl7, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl168, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (memberP @ X0 @ X1)
% 67.70/10.37 | ~ (ssItem @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 67.70/10.37 = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause169])).
% 67.70/10.37 thf(clause72, axiom,
% 67.70/10.37 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 67.70/10.37 thf(zip_derived_cl71, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause72])).
% 67.70/10.37 thf(clause179, axiom,
% 67.70/10.37 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 67.70/10.37 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 67.70/10.37 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 67.70/10.37 thf(zip_derived_cl178, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.70/10.37 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 67.70/10.37 | ~ (ssList @ X4)
% 67.70/10.37 | ~ (ssList @ X3)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssItem @ X2)
% 67.70/10.37 | ~ (duplicatefreeP @ X0)
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause179])).
% 67.70/10.37 thf(zip_derived_cl1366, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 67.70/10.37 ( (ssItem @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssItem @ X3)
% 67.70/10.37 | ~ (ssList @ X5)
% 67.70/10.37 | ~ (ssList @ X4)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 67.70/10.37 inference('dp-resolution', [status(thm)],
% 67.70/10.37 [zip_derived_cl71, zip_derived_cl178])).
% 67.70/10.37 thf(zip_derived_cl3698, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 67.70/10.37 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X4)
% 67.70/10.37 | ~ (ssList @ X5)
% 67.70/10.37 | ~ (ssItem @ X3)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | (ssItem @ X1))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl1366])).
% 67.70/10.37 thf(zip_derived_cl3710, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssItem @ X3)
% 67.70/10.37 | ~ (memberP @ X0 @ X3)
% 67.70/10.37 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 67.70/10.37 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 67.70/10.37 | ~ (ssItem @ X3)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | (ssItem @ X4))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl168, zip_derived_cl3698])).
% 67.70/10.37 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 67.70/10.37 thf(zip_derived_cl51, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause52])).
% 67.70/10.37 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 67.70/10.37 thf(zip_derived_cl52, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause53])).
% 67.70/10.37 thf(zip_derived_cl3732, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssItem @ X3)
% 67.70/10.37 | ~ (memberP @ X0 @ X3)
% 67.70/10.37 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssItem @ X3)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | (ssItem @ X4))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl3710, zip_derived_cl51, zip_derived_cl52])).
% 67.70/10.37 thf(zip_derived_cl3733, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 67.70/10.37 ( (ssItem @ X4)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 67.70/10.37 | ~ (memberP @ X0 @ X3)
% 67.70/10.37 | ~ (ssItem @ X3)
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl3732])).
% 67.70/10.37 thf(zip_derived_cl4034, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 ( (ssItem @ X2)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ nil)
% 67.70/10.37 | ((app @ X1 @ sk1) != (X0))
% 67.70/10.37 | ~ (memberP @ X1 @ sk5)
% 67.70/10.37 | ~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ X1))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1661, zip_derived_cl3733])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl4049, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 ( (ssItem @ X2)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ X1 @ sk1) != (X0))
% 67.70/10.37 | ~ (memberP @ X1 @ sk5)
% 67.70/10.37 | ~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ X1))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl4034, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl4152, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (((nil) = (sk2))
% 67.70/10.37 | (ssItem @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((app @ X2 @ sk1) != (X1))
% 67.70/10.37 | ~ (memberP @ X2 @ sk5)
% 67.70/10.37 | ~ (ssList @ X2))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1394, zip_derived_cl4049])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl4154, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 ( (ssItem @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((app @ X2 @ sk1) != (X1))
% 67.70/10.37 | ~ (memberP @ X2 @ sk5)
% 67.70/10.37 | ~ (ssList @ X2))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl4152, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl4292, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 ( (ssItem @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((app @ sk2 @ sk1) != (X1))
% 67.70/10.37 | ~ (ssList @ sk2))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1400, zip_derived_cl4154])).
% 67.70/10.37 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_5])).
% 67.70/10.37 thf(zip_derived_cl4296, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk2 @ sk1) != (X1)))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl4292, zip_derived_cl186])).
% 67.70/10.37 thf(zip_derived_cl4686, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ (app @ sk2 @ sk1)) | (ssItem @ X0))),
% 67.70/10.37 inference('eq_res', [status(thm)], [zip_derived_cl4296])).
% 67.70/10.37 thf(zip_derived_cl4842, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 67.70/10.37 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4686])).
% 67.70/10.37 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_5])).
% 67.70/10.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.70/10.37 thf(zip_derived_cl4844, plain, (![X0 : $i]: (ssItem @ X0)),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl4842, zip_derived_cl186, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl5031, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (memberP @ X0 @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 67.70/10.37 = (X0)))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl4844])).
% 67.70/10.37 thf(zip_derived_cl1641, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1639, zip_derived_cl1395])).
% 67.70/10.37 thf(clause149, axiom,
% 67.70/10.37 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 67.70/10.37 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 67.70/10.37 thf(zip_derived_cl148, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause149])).
% 67.70/10.37 thf(clause173, axiom,
% 67.70/10.37 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 67.70/10.37 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 67.70/10.37 ( segmentP @ X @ V ))).
% 67.70/10.37 thf(zip_derived_cl172, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.70/10.37 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 67.70/10.37 | ~ (ssList @ X3)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | (segmentP @ X0 @ X2))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause173])).
% 67.70/10.37 thf(zip_derived_cl3206, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.70/10.37 (~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X3)
% 67.70/10.37 | (segmentP @ X3 @ X1))),
% 67.70/10.37 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 67.70/10.37 thf(zip_derived_cl3231, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.70/10.37 ( (segmentP @ X3 @ X1)
% 67.70/10.37 | ~ (ssList @ X3)
% 67.70/10.37 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X2))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl3206])).
% 67.70/10.37 thf(zip_derived_cl7239, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | (segmentP @ X1 @ sk1)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ sk1)
% 67.70/10.37 | ~ (ssList @ X2))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1641, zip_derived_cl3231])).
% 67.70/10.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.70/10.37 thf(zip_derived_cl7276, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | (segmentP @ X1 @ sk1)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X2))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl7239, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl7277, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssList @ X2)
% 67.70/10.37 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | (segmentP @ X1 @ sk1)
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl7276])).
% 67.70/10.37 thf(zip_derived_cl57990, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (memberP @ X0 @ sk5)
% 67.70/10.37 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 67.70/10.37 | ((X0) != (X1))
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | (segmentP @ X1 @ sk1)
% 67.70/10.37 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl5031, zip_derived_cl7277])).
% 67.70/10.37 thf(zip_derived_cl52, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause53])).
% 67.70/10.37 thf(zip_derived_cl51, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause52])).
% 67.70/10.37 thf(zip_derived_cl58028, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (memberP @ X0 @ sk5)
% 67.70/10.37 | ((X0) != (X1))
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | (segmentP @ X1 @ sk1))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl57990, zip_derived_cl52, zip_derived_cl51])).
% 67.70/10.37 thf(zip_derived_cl58056, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 ( (segmentP @ X0 @ sk1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (memberP @ X0 @ sk5)
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('eq_res', [status(thm)], [zip_derived_cl58028])).
% 67.70/10.37 thf(zip_derived_cl58057, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl58056])).
% 67.70/10.37 thf(clause116, axiom,
% 67.70/10.37 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 67.70/10.37 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 67.70/10.37 thf(zip_derived_cl115, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (((cons @ X1 @ nil) != (X0))
% 67.70/10.37 | ~ (ssItem @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | (singletonP @ X0))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause116])).
% 67.70/10.37 thf(co1_16, conjecture,
% 67.70/10.37 (~( ( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( singletonP @ sk1 ) ) ))).
% 67.70/10.37 thf(zf_stmt_8, negated_conjecture,
% 67.70/10.37 (( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( singletonP @ sk1 ) )),
% 67.70/10.37 inference('cnf.neg', [status(esa)], [co1_16])).
% 67.70/10.37 thf(zip_derived_cl200, plain,
% 67.70/10.37 ((~ (segmentP @ sk2 @ sk1) | ~ (singletonP @ sk1))),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_8])).
% 67.70/10.37 thf(zip_derived_cl1363, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ sk1)
% 67.70/10.37 | ~ (ssItem @ X0)
% 67.70/10.37 | ((cons @ X0 @ nil) != (sk1))
% 67.70/10.37 | ~ (segmentP @ sk2 @ sk1))),
% 67.70/10.37 inference('dp-resolution', [status(thm)],
% 67.70/10.37 [zip_derived_cl115, zip_derived_cl200])).
% 67.70/10.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.70/10.37 thf(zip_derived_cl1389, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssItem @ X0)
% 67.70/10.37 | ((cons @ X0 @ nil) != (sk1))
% 67.70/10.37 | ~ (segmentP @ sk2 @ sk1))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl1363, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl4844, plain, (![X0 : $i]: (ssItem @ X0)),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl4842, zip_derived_cl186, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl5045, plain,
% 67.70/10.37 (![X0 : $i]: (((cons @ X0 @ nil) != (sk1)) | ~ (segmentP @ sk2 @ sk1))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1389, zip_derived_cl4844])).
% 67.70/10.37 thf(zip_derived_cl58225, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ sk2)
% 67.70/10.37 | ~ (memberP @ sk2 @ sk5)
% 67.70/10.37 | ((cons @ X0 @ nil) != (sk1)))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl58057, zip_derived_cl5045])).
% 67.70/10.37 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_5])).
% 67.70/10.37 thf(zip_derived_cl1400, plain, ( (memberP @ sk2 @ sk5)),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1399, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl58258, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (sk1))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl58225, zip_derived_cl186, zip_derived_cl1400])).
% 67.70/10.37 thf(zip_derived_cl58266, plain,
% 67.70/10.37 ((~ (ssList @ nil)
% 67.70/10.37 | ((nil) = (cons @ sk5 @ (skaf45 @ nil @ nil)))
% 67.70/10.37 | ((cons @ sk5 @ (skaf45 @ nil @ nil)) != (sk1)))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl25323, zip_derived_cl58258])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(clause109, axiom,
% 67.70/10.37 (( ~( ssList @ U ) ) |
% 67.70/10.37 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 67.70/10.37 ( ( nil ) = ( U ) ))).
% 67.70/10.37 thf(zip_derived_cl108, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 67.70/10.37 | ((nil) = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause109])).
% 67.70/10.37 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 67.70/10.37 thf(zip_derived_cl2860, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((sk1) = (cons @ sk5 @ X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl2812])).
% 67.70/10.37 thf(clause171, axiom,
% 67.70/10.37 (( ( cons @ U @ V ) != ( cons @ W @ X ) ) | ( ~( ssItem @ W ) ) |
% 67.70/10.37 ( ~( ssItem @ U ) ) | ( ~( ssList @ X ) ) | ( ~( ssList @ V ) ) |
% 67.70/10.37 ( ( X ) = ( V ) ))).
% 67.70/10.37 thf(zip_derived_cl170, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 67.70/10.37 (((cons @ X2 @ X3) != (cons @ X0 @ X1))
% 67.70/10.37 | ~ (ssItem @ X0)
% 67.70/10.37 | ~ (ssItem @ X2)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X3)
% 67.70/10.37 | ((X1) = (X3)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause171])).
% 67.70/10.37 thf(zip_derived_cl3120, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssList @ X2)
% 67.70/10.37 | ((nil) != (X2))
% 67.70/10.37 | ((sk1) != (cons @ X1 @ X0))
% 67.70/10.37 | ~ (ssItem @ X1)
% 67.70/10.37 | ~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ((X0) = (X2)))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl2860, zip_derived_cl170])).
% 67.70/10.37 thf(zip_derived_cl3131, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (((X0) = (X2))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssItem @ sk5)
% 67.70/10.37 | ~ (ssItem @ X1)
% 67.70/10.37 | ((sk1) != (cons @ X1 @ X0))
% 67.70/10.37 | ((nil) != (X2))
% 67.70/10.37 | ~ (ssList @ X2))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl3120])).
% 67.70/10.37 thf(zip_derived_cl3258, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (((nil) = (sk2))
% 67.70/10.37 | ((X0) = (X1))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssItem @ X2)
% 67.70/10.37 | ((sk1) != (cons @ X2 @ X0))
% 67.70/10.37 | ((nil) != (X1))
% 67.70/10.37 | ~ (ssList @ X1))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl1394, zip_derived_cl3131])).
% 67.70/10.37 thf(zip_derived_cl1395, plain, (((sk2) != (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl3260, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (((X0) = (X1))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssItem @ X2)
% 67.70/10.37 | ((sk1) != (cons @ X2 @ X0))
% 67.70/10.37 | ((nil) != (X1))
% 67.70/10.37 | ~ (ssList @ X1))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl3258, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl3927, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ nil)
% 67.70/10.37 | ((sk1) != (cons @ X1 @ X0))
% 67.70/10.37 | ~ (ssItem @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((X0) = (nil)))),
% 67.70/10.37 inference('eq_res', [status(thm)], [zip_derived_cl3260])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl3928, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (((sk1) != (cons @ X1 @ X0))
% 67.70/10.37 | ~ (ssItem @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((X0) = (nil)))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl3927, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl3993, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (X0))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((sk1) != (X0))
% 67.70/10.37 | ~ (ssItem @ (skaf83 @ X0))
% 67.70/10.37 | ~ (ssList @ (skaf82 @ X0))
% 67.70/10.37 | ((skaf82 @ X0) = (nil)))),
% 67.70/10.37 inference('s_sup-', [status(thm)],
% 67.70/10.37 [zip_derived_cl108, zip_derived_cl3928])).
% 67.70/10.37 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 67.70/10.37 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause12])).
% 67.70/10.37 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 67.70/10.37 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause13])).
% 67.70/10.37 thf(zip_derived_cl3998, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (X0))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((sk1) != (X0))
% 67.70/10.37 | ((skaf82 @ X0) = (nil)))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl3993, zip_derived_cl11, zip_derived_cl12])).
% 67.70/10.37 thf(zip_derived_cl3090, plain,
% 67.70/10.37 (![X0 : $i]: (((sk1) != (X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl3088, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl4173, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((skaf82 @ X0) = (nil)) | ((sk1) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('clc', [status(thm)], [zip_derived_cl3998, zip_derived_cl3090])).
% 67.70/10.37 thf(zip_derived_cl108, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 67.70/10.37 | ((nil) = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause109])).
% 67.70/10.37 thf(zip_derived_cl95, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause96])).
% 67.70/10.37 thf(zip_derived_cl1568, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (X0))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssItem @ (skaf83 @ X0))
% 67.70/10.37 | ~ (ssList @ (skaf82 @ X0))
% 67.70/10.37 | ((tl @ X0) = (skaf82 @ X0)))),
% 67.70/10.37 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl95])).
% 67.70/10.37 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause12])).
% 67.70/10.37 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause13])).
% 67.70/10.37 thf(zip_derived_cl1573, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (X0)) | ~ (ssList @ X0) | ((tl @ X0) = (skaf82 @ X0)))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1568, zip_derived_cl11, zip_derived_cl12])).
% 67.70/10.37 thf(zip_derived_cl4176, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ((sk1) != (X0))
% 67.70/10.37 | ((nil) = (X0))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((tl @ X0) = (nil)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl4173, zip_derived_cl1573])).
% 67.70/10.37 thf(zip_derived_cl4181, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((tl @ X0) = (nil))
% 67.70/10.37 | ((nil) = (X0))
% 67.70/10.37 | ((sk1) != (X0))
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl4176])).
% 67.70/10.37 thf(zip_derived_cl3090, plain,
% 67.70/10.37 (![X0 : $i]: (((sk1) != (X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl3088, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl4217, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | ((sk1) != (X0)) | ((tl @ X0) = (nil)))),
% 67.70/10.37 inference('clc', [status(thm)], [zip_derived_cl4181, zip_derived_cl3090])).
% 67.70/10.37 thf(zip_derived_cl72, plain,
% 67.70/10.37 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause73])).
% 67.70/10.37 thf(zip_derived_cl132, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((nil) = (X1))
% 67.70/10.37 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause133])).
% 67.70/10.37 thf(zip_derived_cl1790, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ nil)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((nil) = (X0))
% 67.70/10.37 | ((tl @ X0) = (app @ (tl @ X0) @ nil)))),
% 67.70/10.37 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl132])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl1796, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((nil) = (X0))
% 67.70/10.37 | ((tl @ X0) = (app @ (tl @ X0) @ nil)))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl1790, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1797, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((tl @ X0) = (app @ (tl @ X0) @ nil))
% 67.70/10.37 | ((nil) = (X0))
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl1796])).
% 67.70/10.37 thf(zip_derived_cl4222, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((sk1) != (X0))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((nil) = (app @ nil @ nil))
% 67.70/10.37 | ((nil) = (X0))
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl4217, zip_derived_cl1797])).
% 67.70/10.37 thf(zip_derived_cl4233, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((nil) = (X0))
% 67.70/10.37 | ((nil) = (app @ nil @ nil))
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((sk1) != (X0)))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl4222])).
% 67.70/10.37 thf(zip_derived_cl3090, plain,
% 67.70/10.37 (![X0 : $i]: (((sk1) != (X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl3088, zip_derived_cl1395])).
% 67.70/10.37 thf(zip_derived_cl4397, plain,
% 67.70/10.37 (![X0 : $i]:
% 67.70/10.37 (((sk1) != (X0)) | ~ (ssList @ X0) | ((nil) = (app @ nil @ nil)))),
% 67.70/10.37 inference('clc', [status(thm)], [zip_derived_cl4233, zip_derived_cl3090])).
% 67.70/10.37 thf(zip_derived_cl4398, plain,
% 67.70/10.37 ((((nil) = (app @ nil @ nil)) | ~ (ssList @ sk1))),
% 67.70/10.37 inference('eq_res', [status(thm)], [zip_derived_cl4397])).
% 67.70/10.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 67.70/10.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 67.70/10.37 thf(zip_derived_cl4399, plain, (((nil) = (app @ nil @ nil))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl4398, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl131, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (frontsegP @ X0 @ X1)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause132])).
% 67.70/10.37 thf(clause150, axiom,
% 67.70/10.37 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 67.70/10.37 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 67.70/10.37 thf(zip_derived_cl149, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((X2) = (X1)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause150])).
% 67.70/10.37 thf(zip_derived_cl2192, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (frontsegP @ X0 @ X2)
% 67.70/10.37 | ((X0) != (app @ X2 @ X1))
% 67.70/10.37 | ~ (ssList @ (skaf45 @ X0 @ X2))
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((skaf45 @ X0 @ X2) = (X1)))),
% 67.70/10.37 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl149])).
% 67.70/10.37 thf(zip_derived_cl50, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause51])).
% 67.70/10.37 thf(zip_derived_cl2213, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (frontsegP @ X0 @ X2)
% 67.70/10.37 | ((X0) != (app @ X2 @ X1))
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((skaf45 @ X0 @ X2) = (X1)))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl2192, zip_derived_cl50])).
% 67.70/10.37 thf(zip_derived_cl2214, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (((skaf45 @ X0 @ X2) = (X1))
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((X0) != (app @ X2 @ X1))
% 67.70/10.37 | ~ (frontsegP @ X0 @ X2)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X0))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl2213])).
% 67.70/10.37 thf(clause144, axiom,
% 67.70/10.37 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 67.70/10.37 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 67.70/10.37 thf(zip_derived_cl143, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (((app @ X1 @ X2) != (X0))
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | (frontsegP @ X0 @ X1))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause144])).
% 67.70/10.37 thf(zip_derived_cl16323, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X2)
% 67.70/10.37 | ((X0) != (app @ X2 @ X1))
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((skaf45 @ X0 @ X2) = (X1)))),
% 67.70/10.37 inference('clc', [status(thm)], [zip_derived_cl2214, zip_derived_cl143])).
% 67.70/10.37 thf(zip_derived_cl16358, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (((skaf45 @ (app @ X0 @ X1) @ X0) = (X1))
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ (app @ X0 @ X1)))),
% 67.70/10.37 inference('eq_res', [status(thm)], [zip_derived_cl16323])).
% 67.70/10.37 thf(zip_derived_cl84, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 67.70/10.37 inference('cnf', [status(esa)], [clause85])).
% 67.70/10.37 thf(zip_derived_cl35232, plain,
% 67.70/10.37 (![X0 : $i, X1 : $i]:
% 67.70/10.37 (~ (ssList @ X0)
% 67.70/10.37 | ~ (ssList @ X1)
% 67.70/10.37 | ((skaf45 @ (app @ X0 @ X1) @ X0) = (X1)))),
% 67.70/10.37 inference('clc', [status(thm)], [zip_derived_cl16358, zip_derived_cl84])).
% 67.70/10.37 thf(zip_derived_cl35268, plain,
% 67.70/10.37 ((~ (ssList @ nil) | ~ (ssList @ nil) | ((skaf45 @ nil @ nil) = (nil)))),
% 67.70/10.37 inference('s_sup+', [status(thm)],
% 67.70/10.37 [zip_derived_cl4399, zip_derived_cl35232])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 67.70/10.37 inference('cnf', [status(esa)], [clause8])).
% 67.70/10.37 thf(zip_derived_cl35328, plain, (((skaf45 @ nil @ nil) = (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl35268, zip_derived_cl7, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1661, plain, (((cons @ sk5 @ nil) = (sk1))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1654, zip_derived_cl7, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl35328, plain, (((skaf45 @ nil @ nil) = (nil))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl35268, zip_derived_cl7, zip_derived_cl7])).
% 67.70/10.37 thf(zip_derived_cl1661, plain, (((cons @ sk5 @ nil) = (sk1))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl1654, zip_derived_cl7, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl58273, plain, ((((nil) = (sk1)) | ((sk1) != (sk1)))),
% 67.70/10.37 inference('demod', [status(thm)],
% 67.70/10.37 [zip_derived_cl58266, zip_derived_cl7, zip_derived_cl35328,
% 67.70/10.37 zip_derived_cl1661, zip_derived_cl35328, zip_derived_cl1661])).
% 67.70/10.37 thf(zip_derived_cl58274, plain, (((nil) = (sk1))),
% 67.70/10.37 inference('simplify', [status(thm)], [zip_derived_cl58273])).
% 67.70/10.37 thf(zip_derived_cl3111, plain, (((nil) != (sk1))),
% 67.70/10.37 inference('demod', [status(thm)], [zip_derived_cl3110, zip_derived_cl185])).
% 67.70/10.37 thf(zip_derived_cl58275, plain, ($false),
% 67.70/10.37 inference('simplify_reflect-', [status(thm)],
% 67.70/10.37 [zip_derived_cl58274, zip_derived_cl3111])).
% 67.70/10.37
% 67.70/10.37 % SZS output end Refutation
% 67.70/10.37
% 67.70/10.37
% 67.70/10.37 % Terminating...
% 68.54/10.43 % Runner terminated.
% 68.54/10.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------