TSTP Solution File: SWC063-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC063-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZB2E6yvdQ7 true
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:28:53 EDT 2023
% Result : Unsatisfiable 12.89s 2.47s
% Output : Refutation 12.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC063-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZB2E6yvdQ7 true
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 14:50:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.27/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.89/2.47 % Solved by fo/fo6_bce.sh.
% 12.89/2.47 % BCE start: 200
% 12.89/2.47 % BCE eliminated: 0
% 12.89/2.47 % PE start: 200
% 12.89/2.47 logic: eq
% 12.89/2.47 % PE eliminated: -8
% 12.89/2.47 % done 1334 iterations in 1.729s
% 12.89/2.47 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.89/2.47 % SZS output start Refutation
% 12.89/2.47 thf(nil_type, type, nil: $i).
% 12.89/2.47 thf(cons_type, type, cons: $i > $i > $i).
% 12.89/2.47 thf(sk2_type, type, sk2: $i).
% 12.89/2.47 thf(sk6_type, type, sk6: $i).
% 12.89/2.47 thf(sk4_type, type, sk4: $i).
% 12.89/2.47 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 12.89/2.47 thf(tl_type, type, tl: $i > $i).
% 12.89/2.47 thf(hd_type, type, hd: $i > $i).
% 12.89/2.47 thf(ssItem_type, type, ssItem: $i > $o).
% 12.89/2.47 thf(sk5_type, type, sk5: $i).
% 12.89/2.47 thf(sk3_type, type, sk3: $i).
% 12.89/2.47 thf(neq_type, type, neq: $i > $i > $o).
% 12.89/2.47 thf(app_type, type, app: $i > $i > $i).
% 12.89/2.47 thf(ssList_type, type, ssList: $i > $o).
% 12.89/2.47 thf(sk1_type, type, sk1: $i).
% 12.89/2.47 thf(singletonP_type, type, singletonP: $i > $o).
% 12.89/2.47 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 12.89/2.47 thf(clause100, axiom,
% 12.89/2.47 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 12.89/2.47 ( ( V ) = ( U ) ))).
% 12.89/2.47 thf(zip_derived_cl99, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause100])).
% 12.89/2.47 thf(co1_10, conjecture,
% 12.89/2.47 (~( ( ~( neq @ sk4 @ nil ) ) |
% 12.89/2.47 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk3 ) ) ))).
% 12.89/2.47 thf(zf_stmt_0, negated_conjecture,
% 12.89/2.47 (( ~( neq @ sk4 @ nil ) ) |
% 12.89/2.47 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk3 ) )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_10])).
% 12.89/2.47 thf(zip_derived_cl194, plain,
% 12.89/2.47 ((~ (neq @ sk4 @ nil) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk3)))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.89/2.47 thf(zip_derived_cl1415, plain,
% 12.89/2.47 ((((sk4) = (nil))
% 12.89/2.47 | ~ (ssList @ sk4)
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk3)))),
% 12.89/2.47 inference('dp-resolution', [status(thm)],
% 12.89/2.47 [zip_derived_cl99, zip_derived_cl194])).
% 12.89/2.47 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 12.89/2.47 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_5])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 12.89/2.47 thf(zf_stmt_2, negated_conjecture, (ssList @ sk2),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_2])).
% 12.89/2.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.89/2.47 thf(clause8, axiom, (ssList @ nil)).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 12.89/2.47 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_6])).
% 12.89/2.47 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_3])).
% 12.89/2.47 thf(zip_derived_cl1501, plain,
% 12.89/2.47 ((((sk2) = (nil)) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk1)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1415, zip_derived_cl189, zip_derived_cl189,
% 12.89/2.47 zip_derived_cl186, zip_derived_cl7, zip_derived_cl190])).
% 12.89/2.47 thf(co1_14, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 12.89/2.47 thf(zf_stmt_4, negated_conjecture,
% 12.89/2.47 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_14])).
% 12.89/2.47 thf(zip_derived_cl198, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.89/2.47 thf(clause115, axiom,
% 12.89/2.47 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 12.89/2.47 ( ~( ssList @ U ) ))).
% 12.89/2.47 thf(zip_derived_cl114, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (((X1) != (X0))
% 12.89/2.47 | ~ (neq @ X1 @ X0)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X1))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause115])).
% 12.89/2.47 thf(zip_derived_cl1447, plain,
% 12.89/2.47 ((((nil) != (sk1))
% 12.89/2.47 | ~ (ssList @ sk2)
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ((sk2) != (nil)))),
% 12.89/2.47 inference('dp-resolution', [status(thm)],
% 12.89/2.47 [zip_derived_cl198, zip_derived_cl114])).
% 12.89/2.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1494, plain, ((((nil) != (sk1)) | ((sk2) != (nil)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1447, zip_derived_cl186, zip_derived_cl7])).
% 12.89/2.47 thf(co1_7, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 12.89/2.47 thf(zf_stmt_5, negated_conjecture,
% 12.89/2.47 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_7])).
% 12.89/2.47 thf(zip_derived_cl191, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_3])).
% 12.89/2.47 thf(zip_derived_cl1467, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 12.89/2.47 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.89/2.47 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.89/2.47 thf(zip_derived_cl1502, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk1))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1501, zip_derived_cl1495])).
% 12.89/2.47 thf(clause96, axiom,
% 12.89/2.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.89/2.47 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 12.89/2.47 thf(zip_derived_cl95, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause96])).
% 12.89/2.47 thf(clause86, axiom,
% 12.89/2.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 12.89/2.47 thf(zip_derived_cl85, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause86])).
% 12.89/2.47 thf(zip_derived_cl85, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause86])).
% 12.89/2.47 thf(zip_derived_cl1502, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk1))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1501, zip_derived_cl1495])).
% 12.89/2.47 thf(clause123, axiom,
% 12.89/2.47 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 12.89/2.47 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 12.89/2.47 thf(zip_derived_cl122, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ((nil) = (X1))
% 12.89/2.47 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause123])).
% 12.89/2.47 thf(zip_derived_cl1831, plain,
% 12.89/2.47 ((~ (ssList @ sk6)
% 12.89/2.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | ((hd @ sk1) = (hd @ (cons @ sk5 @ nil))))),
% 12.89/2.47 inference('s_sup+', [status(thm)],
% 12.89/2.47 [zip_derived_cl1502, zip_derived_cl122])).
% 12.89/2.47 thf(zip_derived_cl99, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause100])).
% 12.89/2.47 thf(co1_9, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 ) ))).
% 12.89/2.47 thf(zf_stmt_6, negated_conjecture,
% 12.89/2.47 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_9])).
% 12.89/2.47 thf(zip_derived_cl193, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk6))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.89/2.47 thf(zip_derived_cl1414, plain,
% 12.89/2.47 ((((sk4) = (nil)) | ~ (ssList @ sk4) | ~ (ssList @ nil) | (ssList @ sk6))),
% 12.89/2.47 inference('dp-resolution', [status(thm)],
% 12.89/2.47 [zip_derived_cl99, zip_derived_cl193])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1515, plain, ((((sk2) = (nil)) | (ssList @ sk6))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1414, zip_derived_cl189, zip_derived_cl189,
% 12.89/2.47 zip_derived_cl186, zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.89/2.47 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1502, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk1))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1501, zip_derived_cl1495])).
% 12.89/2.47 thf(clause120, axiom,
% 12.89/2.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.89/2.47 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 12.89/2.47 thf(zip_derived_cl119, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssItem @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause120])).
% 12.89/2.47 thf(zip_derived_cl1777, plain,
% 12.89/2.47 ((~ (ssItem @ sk5) | ~ (ssList @ sk6) | ((sk1) = (cons @ sk5 @ sk6)))),
% 12.89/2.47 inference('s_sup+', [status(thm)],
% 12.89/2.47 [zip_derived_cl1502, zip_derived_cl119])).
% 12.89/2.47 thf(zip_derived_cl99, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause100])).
% 12.89/2.47 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 12.89/2.47 thf(zf_stmt_7, negated_conjecture,
% 12.89/2.47 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_8])).
% 12.89/2.47 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_7])).
% 12.89/2.47 thf(zip_derived_cl1413, plain,
% 12.89/2.47 ((((sk4) = (nil)) | ~ (ssList @ sk4) | ~ (ssList @ nil) | (ssItem @ sk5))),
% 12.89/2.47 inference('dp-resolution', [status(thm)],
% 12.89/2.47 [zip_derived_cl99, zip_derived_cl192])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1513, plain, ((((sk2) = (nil)) | (ssItem @ sk5))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1413, zip_derived_cl189, zip_derived_cl189,
% 12.89/2.47 zip_derived_cl186, zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.89/2.47 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1779, plain, (((sk1) = (cons @ sk5 @ sk6))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1777, zip_derived_cl1514, zip_derived_cl1516])).
% 12.89/2.47 thf(clause97, axiom,
% 12.89/2.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.89/2.47 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 12.89/2.47 thf(zip_derived_cl96, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause97])).
% 12.89/2.47 thf(zip_derived_cl1790, plain,
% 12.89/2.47 ((~ (ssItem @ sk5) | ~ (ssList @ sk6) | ((hd @ sk1) = (sk5)))),
% 12.89/2.47 inference('s_sup+', [status(thm)], [zip_derived_cl1779, zip_derived_cl96])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1797, plain, (((hd @ sk1) = (sk5))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1790, zip_derived_cl1514, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl1839, plain,
% 12.89/2.47 ((~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | ((sk5) = (hd @ (cons @ sk5 @ nil))))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1831, zip_derived_cl1516, zip_derived_cl1797])).
% 12.89/2.47 thf(zip_derived_cl1862, plain,
% 12.89/2.47 ((~ (ssList @ nil)
% 12.89/2.47 | ~ (ssItem @ sk5)
% 12.89/2.47 | ((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | ((sk5) = (hd @ (cons @ sk5 @ nil))))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1839])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1863, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil)) | ((sk5) = (hd @ (cons @ sk5 @ nil))))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1862, zip_derived_cl7, zip_derived_cl1514])).
% 12.89/2.47 thf(clause104, axiom,
% 12.89/2.47 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 12.89/2.47 ( ( nil ) = ( U ) ))).
% 12.89/2.47 thf(zip_derived_cl103, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 12.89/2.47 | ((nil) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause104])).
% 12.89/2.47 thf(zip_derived_cl1865, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ((cons @ sk5 @ (tl @ (cons @ sk5 @ nil))) = (cons @ sk5 @ nil))
% 12.89/2.47 | ((nil) = (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('s_sup+', [status(thm)],
% 12.89/2.47 [zip_derived_cl1863, zip_derived_cl103])).
% 12.89/2.47 thf(zip_derived_cl1868, plain,
% 12.89/2.47 ((((cons @ sk5 @ (tl @ (cons @ sk5 @ nil))) = (cons @ sk5 @ nil))
% 12.89/2.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ((nil) = (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl1865])).
% 12.89/2.47 thf(zip_derived_cl1901, plain,
% 12.89/2.47 ((~ (ssList @ nil)
% 12.89/2.47 | ~ (ssItem @ sk5)
% 12.89/2.47 | ((cons @ sk5 @ (tl @ (cons @ sk5 @ nil))) = (cons @ sk5 @ nil))
% 12.89/2.47 | ((nil) = (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1868])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1902, plain,
% 12.89/2.47 ((((cons @ sk5 @ (tl @ (cons @ sk5 @ nil))) = (cons @ sk5 @ nil))
% 12.89/2.47 | ((nil) = (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1901, zip_derived_cl7, zip_derived_cl1514])).
% 12.89/2.47 thf(zip_derived_cl85, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause86])).
% 12.89/2.47 thf(zip_derived_cl1903, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | ~ (ssItem @ sk5)
% 12.89/2.47 | ~ (ssList @ (tl @ (cons @ sk5 @ nil)))
% 12.89/2.47 | (ssList @ (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('s_sup+', [status(thm)], [zip_derived_cl1902, zip_derived_cl85])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1914, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | ~ (ssList @ (tl @ (cons @ sk5 @ nil)))
% 12.89/2.47 | (ssList @ (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1903, zip_derived_cl1514])).
% 12.89/2.47 thf(zip_derived_cl1998, plain,
% 12.89/2.47 ((~ (ssList @ nil)
% 12.89/2.47 | ~ (ssItem @ sk5)
% 12.89/2.47 | ((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | (ssList @ (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl1914])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl2000, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil)) | (ssList @ (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1998, zip_derived_cl7, zip_derived_cl1514,
% 12.89/2.47 zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl99, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause100])).
% 12.89/2.47 thf(co1_11, conjecture,
% 12.89/2.47 (~( ( ~( neq @ sk4 @ nil ) ) |
% 12.89/2.47 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk4 ) ) ))).
% 12.89/2.47 thf(zf_stmt_8, negated_conjecture,
% 12.89/2.47 (( ~( neq @ sk4 @ nil ) ) |
% 12.89/2.47 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk4 ) )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_11])).
% 12.89/2.47 thf(zip_derived_cl195, plain,
% 12.89/2.47 ((~ (neq @ sk4 @ nil) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4)))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.89/2.47 thf(zip_derived_cl1416, plain,
% 12.89/2.47 ((((sk4) = (nil))
% 12.89/2.47 | ~ (ssList @ sk4)
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4)))),
% 12.89/2.47 inference('dp-resolution', [status(thm)],
% 12.89/2.47 [zip_derived_cl99, zip_derived_cl195])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.89/2.47 thf(zip_derived_cl1503, plain,
% 12.89/2.47 ((((sk2) = (nil)) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1416, zip_derived_cl189, zip_derived_cl189,
% 12.89/2.47 zip_derived_cl186, zip_derived_cl7, zip_derived_cl189])).
% 12.89/2.47 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.89/2.47 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.89/2.47 thf(zip_derived_cl1504, plain, (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1503, zip_derived_cl1495])).
% 12.89/2.47 thf(clause149, axiom,
% 12.89/2.47 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 12.89/2.47 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 12.89/2.47 thf(zip_derived_cl148, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause149])).
% 12.89/2.47 thf(zip_derived_cl2394, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ~ (ssList @ sk6)
% 12.89/2.47 | ((app @ sk2 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.89/2.47 inference('s_sup+', [status(thm)],
% 12.89/2.47 [zip_derived_cl1504, zip_derived_cl148])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl2409, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ((app @ sk2 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl2394, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl2432, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((app @ sk2 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl2000, zip_derived_cl2409])).
% 12.89/2.47 thf(clause116, axiom,
% 12.89/2.47 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 12.89/2.47 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 12.89/2.47 thf(zip_derived_cl115, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (((cons @ X1 @ nil) != (X0))
% 12.89/2.47 | ~ (ssItem @ X1)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (singletonP @ X0))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause116])).
% 12.89/2.47 thf(clause11, axiom, (~( singletonP @ nil ))).
% 12.89/2.47 thf(zip_derived_cl10, plain, (~ (singletonP @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause11])).
% 12.89/2.47 thf(zip_derived_cl1386, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssList @ nil) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 12.89/2.47 inference('dp-resolution', [status(thm)],
% 12.89/2.47 [zip_derived_cl115, zip_derived_cl10])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1523, plain,
% 12.89/2.47 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 12.89/2.47 inference('demod', [status(thm)], [zip_derived_cl1386, zip_derived_cl7])).
% 12.89/2.47 thf(clause85, axiom,
% 12.89/2.47 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 12.89/2.47 thf(zip_derived_cl84, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause85])).
% 12.89/2.47 thf(zip_derived_cl1779, plain, (((sk1) = (cons @ sk5 @ sk6))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1777, zip_derived_cl1514, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl1504, plain, (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1503, zip_derived_cl1495])).
% 12.89/2.47 thf(clause72, axiom,
% 12.89/2.47 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 12.89/2.47 thf(zip_derived_cl71, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause72])).
% 12.89/2.47 thf(clause179, axiom,
% 12.89/2.47 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 12.89/2.47 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 12.89/2.47 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 12.89/2.47 thf(zip_derived_cl178, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.89/2.47 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 12.89/2.47 | ~ (ssList @ X4)
% 12.89/2.47 | ~ (ssList @ X3)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssItem @ X2)
% 12.89/2.47 | ~ (duplicatefreeP @ X0)
% 12.89/2.47 | ~ (ssList @ X0))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause179])).
% 12.89/2.47 thf(zip_derived_cl1390, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.89/2.47 ( (ssItem @ X1)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssItem @ X3)
% 12.89/2.47 | ~ (ssList @ X5)
% 12.89/2.47 | ~ (ssList @ X4)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 12.89/2.47 inference('dp-resolution', [status(thm)],
% 12.89/2.47 [zip_derived_cl71, zip_derived_cl178])).
% 12.89/2.47 thf(zip_derived_cl3595, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.89/2.47 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ~ (ssList @ X4)
% 12.89/2.47 | ~ (ssList @ X5)
% 12.89/2.47 | ~ (ssItem @ X3)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (ssItem @ X1))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl1390])).
% 12.89/2.47 thf(zip_derived_cl3612, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (((app @ sk2 @ (cons @ sk5 @ X1)) != (X0))
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ~ (ssList @ sk6)
% 12.89/2.47 | ~ (ssItem @ sk5)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (ssItem @ X2))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1504, zip_derived_cl3595])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl3629, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (((app @ sk2 @ (cons @ sk5 @ X1)) != (X0))
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (ssItem @ X2))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl3612, zip_derived_cl7, zip_derived_cl1516,
% 12.89/2.47 zip_derived_cl1514])).
% 12.89/2.47 thf(zip_derived_cl5349, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (((app @ sk2 @ sk1) != (X0))
% 12.89/2.47 | ~ (ssList @ sk6)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (ssItem @ X1))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1779, zip_derived_cl3629])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl5352, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (((app @ sk2 @ sk1) != (X0)) | ~ (ssList @ X0) | (ssItem @ X1))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl5349, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl5724, plain,
% 12.89/2.47 (![X0 : $i]: ( (ssItem @ X0) | ~ (ssList @ (app @ sk2 @ sk1)))),
% 12.89/2.47 inference('eq_res', [status(thm)], [zip_derived_cl5352])).
% 12.89/2.47 thf(zip_derived_cl5729, plain,
% 12.89/2.47 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5724])).
% 12.89/2.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.89/2.47 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 12.89/2.47 thf(zf_stmt_9, negated_conjecture, (ssList @ sk1),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_1])).
% 12.89/2.47 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.89/2.47 thf(zip_derived_cl5731, plain, (![X0 : $i]: (ssItem @ X0)),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl5729, zip_derived_cl186, zip_derived_cl185])).
% 12.89/2.47 thf(zip_derived_cl5822, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1523, zip_derived_cl5731])).
% 12.89/2.47 thf(zip_derived_cl6172, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ((app @ sk2 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl2432, zip_derived_cl5822])).
% 12.89/2.47 thf(zip_derived_cl6207, plain,
% 12.89/2.47 ((~ (ssList @ sk6) | ((app @ sk2 @ sk6) = (app @ sk6 @ sk1)))),
% 12.89/2.47 inference('s_sup+', [status(thm)],
% 12.89/2.47 [zip_derived_cl1502, zip_derived_cl6172])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl6212, plain, (((app @ sk2 @ sk6) = (app @ sk6 @ sk1))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl6207, zip_derived_cl1516])).
% 12.89/2.47 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 12.89/2.47 thf(zip_derived_cl72, plain,
% 12.89/2.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause73])).
% 12.89/2.47 thf(zip_derived_cl148, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause149])).
% 12.89/2.47 thf(clause173, axiom,
% 12.89/2.47 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 12.89/2.47 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 12.89/2.47 ( segmentP @ X @ V ))).
% 12.89/2.47 thf(zip_derived_cl172, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.89/2.47 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 12.89/2.47 | ~ (ssList @ X3)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ X0 @ X2))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause173])).
% 12.89/2.47 thf(zip_derived_cl3181, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.89/2.47 (~ (ssList @ X2)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X3)
% 12.89/2.47 | (segmentP @ X3 @ X1))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 12.89/2.47 thf(zip_derived_cl3206, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.89/2.47 ( (segmentP @ X3 @ X1)
% 12.89/2.47 | ~ (ssList @ X3)
% 12.89/2.47 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X2))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl3181])).
% 12.89/2.47 thf(zip_derived_cl4740, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ X1 @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ((app @ X2 @ X0) != (X1))
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X2))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl3206])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl4765, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ X1 @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ((app @ X2 @ X0) != (X1))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X2))),
% 12.89/2.47 inference('demod', [status(thm)], [zip_derived_cl4740, zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl4766, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (ssList @ X2)
% 12.89/2.47 | ((app @ X2 @ X0) != (X1))
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | (segmentP @ X1 @ X0)
% 12.89/2.47 | ~ (ssList @ X0))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl4765])).
% 12.89/2.47 thf(zip_derived_cl4831, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ (app @ X1 @ X0) @ X0)
% 12.89/2.47 | ~ (ssList @ (app @ X1 @ X0))
% 12.89/2.47 | ~ (ssList @ X1))),
% 12.89/2.47 inference('eq_res', [status(thm)], [zip_derived_cl4766])).
% 12.89/2.47 thf(zip_derived_cl84, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause85])).
% 12.89/2.47 thf(zip_derived_cl9436, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X1)
% 12.89/2.47 | (segmentP @ (app @ X1 @ X0) @ X0)
% 12.89/2.47 | ~ (ssList @ X0))),
% 12.89/2.47 inference('clc', [status(thm)], [zip_derived_cl4831, zip_derived_cl84])).
% 12.89/2.47 thf(zip_derived_cl9476, plain,
% 12.89/2.47 ((~ (ssList @ sk6)
% 12.89/2.47 | (segmentP @ (app @ sk2 @ sk6) @ sk1)
% 12.89/2.47 | ~ (ssList @ sk1))),
% 12.89/2.47 inference('s_sup+', [status(thm)],
% 12.89/2.47 [zip_derived_cl6212, zip_derived_cl9436])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.89/2.47 thf(zip_derived_cl9513, plain, ( (segmentP @ (app @ sk2 @ sk6) @ sk1)),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl9476, zip_derived_cl1516, zip_derived_cl185])).
% 12.89/2.47 thf(zip_derived_cl2000, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil)) | (ssList @ (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1998, zip_derived_cl7, zip_derived_cl1514,
% 12.89/2.47 zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl1502, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk1))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1501, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl9436, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X1)
% 12.89/2.47 | (segmentP @ (app @ X1 @ X0) @ X0)
% 12.89/2.47 | ~ (ssList @ X0))),
% 12.89/2.47 inference('clc', [status(thm)], [zip_derived_cl4831, zip_derived_cl84])).
% 12.89/2.47 thf(zip_derived_cl9454, plain,
% 12.89/2.47 ((~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | (segmentP @ sk1 @ sk6)
% 12.89/2.47 | ~ (ssList @ sk6))),
% 12.89/2.47 inference('s_sup+', [status(thm)],
% 12.89/2.47 [zip_derived_cl1502, zip_derived_cl9436])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl9494, plain,
% 12.89/2.47 ((~ (ssList @ (cons @ sk5 @ nil)) | (segmentP @ sk1 @ sk6))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl9454, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl10446, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil)) | (segmentP @ sk1 @ sk6))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl2000, zip_derived_cl9494])).
% 12.89/2.47 thf(zip_derived_cl5822, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1523, zip_derived_cl5731])).
% 12.89/2.47 thf(zip_derived_cl10447, plain, ( (segmentP @ sk1 @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl10446, zip_derived_cl5822])).
% 12.89/2.47 thf(zip_derived_cl99, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause100])).
% 12.89/2.47 thf(co1_13, conjecture,
% 12.89/2.47 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 12.89/2.47 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 12.89/2.47 thf(zf_stmt_10, negated_conjecture,
% 12.89/2.47 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 12.89/2.47 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) )),
% 12.89/2.47 inference('cnf.neg', [status(esa)], [co1_13])).
% 12.89/2.47 thf(zip_derived_cl197, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (segmentP @ sk1 @ X0)
% 12.89/2.47 | ~ (segmentP @ sk2 @ X0)
% 12.89/2.47 | ~ (neq @ X0 @ nil)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((nil) = (sk2)))),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_10])).
% 12.89/2.47 thf(zip_derived_cl1417, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (((X0) = (nil))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ((nil) = (sk2))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (segmentP @ sk2 @ X0)
% 12.89/2.47 | ~ (segmentP @ sk1 @ X0))),
% 12.89/2.47 inference('dp-resolution', [status(thm)],
% 12.89/2.47 [zip_derived_cl99, zip_derived_cl197])).
% 12.89/2.47 thf(zip_derived_cl1615, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (segmentP @ sk1 @ X0)
% 12.89/2.47 | ~ (segmentP @ sk2 @ X0)
% 12.89/2.47 | ((nil) = (sk2))
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((X0) = (nil)))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl1417])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1616, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (segmentP @ sk1 @ X0)
% 12.89/2.47 | ~ (segmentP @ sk2 @ X0)
% 12.89/2.47 | ((nil) = (sk2))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((X0) = (nil)))),
% 12.89/2.47 inference('demod', [status(thm)], [zip_derived_cl1615, zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.89/2.47 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.89/2.47 thf(zip_derived_cl1617, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (segmentP @ sk1 @ X0)
% 12.89/2.47 | ~ (segmentP @ sk2 @ X0)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((X0) = (nil)))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1616, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl10451, plain,
% 12.89/2.47 ((~ (segmentP @ sk2 @ sk6) | ~ (ssList @ sk6) | ((sk6) = (nil)))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl10447, zip_derived_cl1617])).
% 12.89/2.47 thf(clause57, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ U ))).
% 12.89/2.47 thf(zip_derived_cl56, plain,
% 12.89/2.47 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause57])).
% 12.89/2.47 thf(zip_derived_cl2000, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil)) | (ssList @ (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1998, zip_derived_cl7, zip_derived_cl1514,
% 12.89/2.47 zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl1504, plain, (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1503, zip_derived_cl1495])).
% 12.89/2.47 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 12.89/2.47 thf(zip_derived_cl73, plain,
% 12.89/2.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause74])).
% 12.89/2.47 thf(zip_derived_cl172, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.89/2.47 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 12.89/2.47 | ~ (ssList @ X3)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ X0 @ X2))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause173])).
% 12.89/2.47 thf(zip_derived_cl3188, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ((app @ X0 @ X2) != (X1))
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | (segmentP @ X1 @ X0))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl3216, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ((app @ X0 @ X2) != (X1))
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | (segmentP @ X1 @ X0))),
% 12.89/2.47 inference('demod', [status(thm)], [zip_derived_cl3188, zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl3217, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 ( (segmentP @ X1 @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ((app @ X0 @ X2) != (X1))
% 12.89/2.47 | ~ (ssList @ X0))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl3216])).
% 12.89/2.47 thf(zip_derived_cl3261, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 ( (segmentP @ X0 @ sk6)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ((sk2) != (X0))
% 12.89/2.47 | ~ (ssList @ sk6))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1504, zip_derived_cl3217])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl3280, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 ( (segmentP @ X0 @ sk6)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ((sk2) != (X0)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl3261, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl7611, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (((nil) = (cons @ sk5 @ nil))
% 12.89/2.47 | (segmentP @ X0 @ sk6)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((sk2) != (X0)))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl2000, zip_derived_cl3280])).
% 12.89/2.47 thf(zip_derived_cl5822, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1523, zip_derived_cl5731])).
% 12.89/2.47 thf(zip_derived_cl7612, plain,
% 12.89/2.47 (![X0 : $i]: ( (segmentP @ X0 @ sk6) | ~ (ssList @ X0) | ((sk2) != (X0)))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl7611, zip_derived_cl5822])).
% 12.89/2.47 thf(clause152, axiom,
% 12.89/2.47 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 12.89/2.47 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 12.89/2.47 ( segmentP @ U @ W ))).
% 12.89/2.47 thf(zip_derived_cl151, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (segmentP @ X0 @ X1)
% 12.89/2.47 | ~ (segmentP @ X1 @ X2)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ X0 @ X2))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause152])).
% 12.89/2.47 thf(zip_derived_cl8160, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (((sk2) != (X0))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (segmentP @ sk6 @ X1)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ sk6)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ X0 @ X1))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl7612, zip_derived_cl151])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl8170, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (((sk2) != (X0))
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (segmentP @ sk6 @ X1)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ X0 @ X1))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl8160, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl8171, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 ( (segmentP @ X0 @ X1)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (segmentP @ sk6 @ X1)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((sk2) != (X0)))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl8170])).
% 12.89/2.47 thf(zip_derived_cl8365, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssList @ sk2)
% 12.89/2.47 | ~ (segmentP @ sk6 @ X0)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | (segmentP @ sk2 @ X0))),
% 12.89/2.47 inference('eq_res', [status(thm)], [zip_derived_cl8171])).
% 12.89/2.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.89/2.47 thf(zip_derived_cl8366, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (segmentP @ sk6 @ X0) | ~ (ssList @ X0) | (segmentP @ sk2 @ X0))),
% 12.89/2.47 inference('demod', [status(thm)], [zip_derived_cl8365, zip_derived_cl186])).
% 12.89/2.47 thf(zip_derived_cl8413, plain,
% 12.89/2.47 ((~ (ssList @ sk6) | ~ (ssList @ sk6) | (segmentP @ sk2 @ sk6))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl8366])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl8422, plain, ( (segmentP @ sk2 @ sk6)),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl8413, zip_derived_cl1516, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl10457, plain, (((sk6) = (nil))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl10451, zip_derived_cl8422, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl2000, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil)) | (ssList @ (cons @ sk5 @ nil)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1998, zip_derived_cl7, zip_derived_cl1514,
% 12.89/2.47 zip_derived_cl7])).
% 12.89/2.47 thf(zip_derived_cl72, plain,
% 12.89/2.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause73])).
% 12.89/2.47 thf(zip_derived_cl6172, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ((app @ sk2 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl2432, zip_derived_cl5822])).
% 12.89/2.47 thf(zip_derived_cl6204, plain,
% 12.89/2.47 ((~ (ssList @ (cons @ sk5 @ nil))
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ((app @ sk2 @ nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 12.89/2.47 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl6172])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1504, plain, (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1503, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl6210, plain,
% 12.89/2.47 ((~ (ssList @ (cons @ sk5 @ nil)) | ((app @ sk2 @ nil) = (sk2)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl6204, zip_derived_cl7, zip_derived_cl1504])).
% 12.89/2.47 thf(zip_derived_cl6934, plain,
% 12.89/2.47 ((((nil) = (cons @ sk5 @ nil)) | ((app @ sk2 @ nil) = (sk2)))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl2000, zip_derived_cl6210])).
% 12.89/2.47 thf(zip_derived_cl5822, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1523, zip_derived_cl5731])).
% 12.89/2.47 thf(zip_derived_cl6935, plain, (((app @ sk2 @ nil) = (sk2))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl6934, zip_derived_cl5822])).
% 12.89/2.47 thf(zip_derived_cl72, plain,
% 12.89/2.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause73])).
% 12.89/2.47 thf(zip_derived_cl1779, plain, (((sk1) = (cons @ sk5 @ sk6))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1777, zip_derived_cl1514, zip_derived_cl1516])).
% 12.89/2.47 thf(clause157, axiom,
% 12.89/2.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 12.89/2.47 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 12.89/2.47 thf(zip_derived_cl156, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 (~ (ssItem @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause157])).
% 12.89/2.47 thf(zip_derived_cl2641, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssItem @ sk5)
% 12.89/2.47 | ~ (ssList @ sk6)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((cons @ sk5 @ (app @ sk6 @ X0)) = (app @ sk1 @ X0)))),
% 12.89/2.47 inference('s_sup+', [status(thm)],
% 12.89/2.47 [zip_derived_cl1779, zip_derived_cl156])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl2644, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (ssList @ X0)
% 12.89/2.47 | ((cons @ sk5 @ (app @ sk6 @ X0)) = (app @ sk1 @ X0)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl2641, zip_derived_cl1514, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl3740, plain,
% 12.89/2.47 ((~ (ssList @ sk6)
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ((cons @ sk5 @ sk6) = (app @ sk1 @ nil)))),
% 12.89/2.47 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl2644])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl1779, plain, (((sk1) = (cons @ sk5 @ sk6))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1777, zip_derived_cl1514, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl3745, plain, (((sk1) = (app @ sk1 @ nil))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl3740, zip_derived_cl1516, zip_derived_cl7,
% 12.89/2.47 zip_derived_cl1779])).
% 12.89/2.47 thf(zip_derived_cl3217, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.89/2.47 ( (segmentP @ X1 @ X0)
% 12.89/2.47 | ~ (ssList @ X1)
% 12.89/2.47 | ~ (ssList @ X2)
% 12.89/2.47 | ((app @ X0 @ X2) != (X1))
% 12.89/2.47 | ~ (ssList @ X0))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl3216])).
% 12.89/2.47 thf(zip_derived_cl3795, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 ( (segmentP @ X0 @ sk1)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ~ (ssList @ nil)
% 12.89/2.47 | ((sk1) != (X0))
% 12.89/2.47 | ~ (ssList @ sk1))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl3745, zip_derived_cl3217])).
% 12.89/2.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.89/2.47 inference('cnf', [status(esa)], [clause8])).
% 12.89/2.47 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.89/2.47 thf(zip_derived_cl3826, plain,
% 12.89/2.47 (![X0 : $i]: ( (segmentP @ X0 @ sk1) | ~ (ssList @ X0) | ((sk1) != (X0)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl3795, zip_derived_cl7, zip_derived_cl185])).
% 12.89/2.47 thf(zip_derived_cl1617, plain,
% 12.89/2.47 (![X0 : $i]:
% 12.89/2.47 (~ (segmentP @ sk1 @ X0)
% 12.89/2.47 | ~ (segmentP @ sk2 @ X0)
% 12.89/2.47 | ~ (ssList @ X0)
% 12.89/2.47 | ((X0) = (nil)))),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1616, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl3920, plain,
% 12.89/2.47 ((((sk1) != (sk1))
% 12.89/2.47 | ~ (ssList @ sk1)
% 12.89/2.47 | ~ (segmentP @ sk2 @ sk1)
% 12.89/2.47 | ~ (ssList @ sk1)
% 12.89/2.47 | ((sk1) = (nil)))),
% 12.89/2.47 inference('s_sup-', [status(thm)],
% 12.89/2.47 [zip_derived_cl3826, zip_derived_cl1617])).
% 12.89/2.47 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.89/2.47 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.89/2.47 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.89/2.47 thf(zip_derived_cl3931, plain,
% 12.89/2.47 ((((sk1) != (sk1)) | ~ (segmentP @ sk2 @ sk1) | ((sk1) = (nil)))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl3920, zip_derived_cl185, zip_derived_cl185])).
% 12.89/2.47 thf(zip_derived_cl3932, plain,
% 12.89/2.47 ((((sk1) = (nil)) | ~ (segmentP @ sk2 @ sk1))),
% 12.89/2.47 inference('simplify', [status(thm)], [zip_derived_cl3931])).
% 12.89/2.47 thf(zip_derived_cl1779, plain, (((sk1) = (cons @ sk5 @ sk6))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1777, zip_derived_cl1514, zip_derived_cl1516])).
% 12.89/2.47 thf(clause98, axiom,
% 12.89/2.47 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 12.89/2.47 ( ~( ssList @ V ) ))).
% 12.89/2.47 thf(zip_derived_cl97, plain,
% 12.89/2.47 (![X0 : $i, X1 : $i]:
% 12.89/2.47 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 12.89/2.47 inference('cnf', [status(esa)], [clause98])).
% 12.89/2.47 thf(zip_derived_cl1791, plain,
% 12.89/2.47 ((((sk1) != (nil)) | ~ (ssItem @ sk5) | ~ (ssList @ sk6))),
% 12.89/2.47 inference('s_sup-', [status(thm)], [zip_derived_cl1779, zip_derived_cl97])).
% 12.89/2.47 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.89/2.47 thf(zip_derived_cl1798, plain, (((sk1) != (nil))),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl1791, zip_derived_cl1514, zip_derived_cl1516])).
% 12.89/2.47 thf(zip_derived_cl3933, plain, (~ (segmentP @ sk2 @ sk1)),
% 12.89/2.47 inference('simplify_reflect-', [status(thm)],
% 12.89/2.47 [zip_derived_cl3932, zip_derived_cl1798])).
% 12.89/2.47 thf(zip_derived_cl10626, plain, ($false),
% 12.89/2.47 inference('demod', [status(thm)],
% 12.89/2.47 [zip_derived_cl9513, zip_derived_cl10457, zip_derived_cl6935,
% 12.89/2.47 zip_derived_cl3933])).
% 12.89/2.47
% 12.89/2.47 % SZS output end Refutation
% 12.89/2.47
% 12.89/2.47
% 12.89/2.47 % Terminating...
% 13.57/2.56 % Runner terminated.
% 13.57/2.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------