TSTP Solution File: SWC297-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC297-1 : 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.eLLxFpGl3q true
% Computer : n014.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 21:30:33 EDT 2023
% Result : Unsatisfiable 12.56s 2.42s
% Output : Refutation 12.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC297-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eLLxFpGl3q true
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 16:56:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.56/2.42 % Solved by fo/fo6_bce.sh.
% 12.56/2.42 % BCE start: 204
% 12.56/2.42 % BCE eliminated: 2
% 12.56/2.42 % PE start: 202
% 12.56/2.42 logic: eq
% 12.56/2.42 % PE eliminated: 5
% 12.56/2.42 % done 1044 iterations in 1.685s
% 12.56/2.42 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.56/2.42 % SZS output start Refutation
% 12.56/2.42 thf(nil_type, type, nil: $i).
% 12.56/2.42 thf(cons_type, type, cons: $i > $i > $i).
% 12.56/2.42 thf(sk9_type, type, sk9: $i).
% 12.56/2.42 thf(sk2_type, type, sk2: $i).
% 12.56/2.42 thf(sk8_type, type, sk8: $i).
% 12.56/2.42 thf(sk6_type, type, sk6: $i).
% 12.56/2.42 thf(sk4_type, type, sk4: $i).
% 12.56/2.42 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 12.56/2.42 thf(tl_type, type, tl: $i > $i).
% 12.56/2.42 thf(memberP_type, type, memberP: $i > $i > $o).
% 12.56/2.42 thf(hd_type, type, hd: $i > $i).
% 12.56/2.42 thf(ssItem_type, type, ssItem: $i > $o).
% 12.56/2.42 thf(skaf82_type, type, skaf82: $i > $i).
% 12.56/2.42 thf(sk5_type, type, sk5: $i).
% 12.56/2.42 thf(sk3_type, type, sk3: $i).
% 12.56/2.42 thf(neq_type, type, neq: $i > $i > $o).
% 12.56/2.42 thf(app_type, type, app: $i > $i > $i).
% 12.56/2.42 thf(ssList_type, type, ssList: $i > $o).
% 12.56/2.42 thf(sk7_type, type, sk7: $i).
% 12.56/2.42 thf(sk1_type, type, sk1: $i).
% 12.56/2.42 thf(clause86, axiom,
% 12.56/2.42 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 12.56/2.42 thf(zip_derived_cl85, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause86])).
% 12.56/2.42 thf(zip_derived_cl85, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause86])).
% 12.56/2.42 thf(clause75, axiom,
% 12.56/2.42 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 12.56/2.42 thf(zip_derived_cl74, plain,
% 12.56/2.42 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause75])).
% 12.56/2.42 thf(clause100, axiom,
% 12.56/2.42 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 12.56/2.42 ( ( V ) = ( U ) ))).
% 12.56/2.42 thf(zip_derived_cl99, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause100])).
% 12.56/2.42 thf(co1_18, conjecture,
% 12.56/2.42 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) ) ))).
% 12.56/2.42 thf(zf_stmt_0, negated_conjecture,
% 12.56/2.42 (( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk9 @ nil ) = ( sk3 ) )),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_18])).
% 12.56/2.42 thf(zip_derived_cl202, plain,
% 12.56/2.42 ((~ (neq @ sk4 @ nil) | ((cons @ sk9 @ nil) = (sk3)))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.56/2.42 thf(zip_derived_cl1367, plain,
% 12.56/2.42 ((((sk4) = (nil))
% 12.56/2.42 | ~ (ssList @ sk4)
% 12.56/2.42 | ~ (ssList @ nil)
% 12.56/2.42 | ((cons @ sk9 @ nil) = (sk3)))),
% 12.56/2.42 inference('dp-resolution', [status(thm)],
% 12.56/2.42 [zip_derived_cl99, zip_derived_cl202])).
% 12.56/2.42 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 12.56/2.42 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_5])).
% 12.56/2.42 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.56/2.42 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.56/2.42 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 12.56/2.42 thf(zf_stmt_2, negated_conjecture, (ssList @ sk2),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_2])).
% 12.56/2.42 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.56/2.42 thf(clause8, axiom, (ssList @ nil)).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 12.56/2.42 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_6])).
% 12.56/2.42 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_3])).
% 12.56/2.42 thf(zip_derived_cl1400, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((cons @ sk9 @ nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl1367, zip_derived_cl189, zip_derived_cl189,
% 12.56/2.42 zip_derived_cl186, zip_derived_cl7, zip_derived_cl190])).
% 12.56/2.42 thf(clause96, axiom,
% 12.56/2.42 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.56/2.42 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 12.56/2.42 thf(zip_derived_cl95, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause96])).
% 12.56/2.42 thf(zip_derived_cl1531, plain,
% 12.56/2.42 ((((sk2) = (nil))
% 12.56/2.42 | ~ (ssItem @ sk9)
% 12.56/2.42 | ~ (ssList @ nil)
% 12.56/2.42 | ((tl @ sk1) = (nil)))),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl1400, zip_derived_cl95])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(zip_derived_cl1532, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ~ (ssItem @ sk9) | ((tl @ sk1) = (nil)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl1531, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl99, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause100])).
% 12.56/2.42 thf(co1_17, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk9 ) ))).
% 12.56/2.42 thf(zf_stmt_4, negated_conjecture,
% 12.56/2.42 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk9 )),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_17])).
% 12.56/2.42 thf(zip_derived_cl201, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk9))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.56/2.42 thf(zip_derived_cl1366, plain,
% 12.56/2.42 ((((sk4) = (nil)) | ~ (ssList @ sk4) | ~ (ssList @ nil) | (ssItem @ sk9))),
% 12.56/2.42 inference('dp-resolution', [status(thm)],
% 12.56/2.42 [zip_derived_cl99, zip_derived_cl201])).
% 12.56/2.42 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.56/2.42 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.56/2.42 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(zip_derived_cl1406, plain, ((((sk2) = (nil)) | (ssItem @ sk9))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl1366, zip_derived_cl189, zip_derived_cl189,
% 12.56/2.42 zip_derived_cl186, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl1533, plain, ((((tl @ sk1) = (nil)) | ((sk2) = (nil)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1532, zip_derived_cl1406])).
% 12.56/2.42 thf(zip_derived_cl85, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause86])).
% 12.56/2.42 thf(clause120, axiom,
% 12.56/2.42 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.56/2.42 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 12.56/2.42 thf(zip_derived_cl119, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause120])).
% 12.56/2.42 thf(zip_derived_cl85, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause86])).
% 12.56/2.42 thf(co1_10, conjecture,
% 12.56/2.42 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) != ( sk1 ))).
% 12.56/2.42 thf(zf_stmt_5, negated_conjecture,
% 12.56/2.42 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk1 )),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_10])).
% 12.56/2.42 thf(zip_derived_cl194, plain,
% 12.56/2.42 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_5])).
% 12.56/2.42 thf(clause149, axiom,
% 12.56/2.42 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 12.56/2.42 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 12.56/2.42 thf(zip_derived_cl148, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.56/2.42 (~ (ssList @ X0)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ~ (ssList @ X2)
% 12.56/2.42 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause149])).
% 12.56/2.42 thf(zip_derived_cl2223, plain,
% 12.56/2.42 ((~ (ssList @ sk7)
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.56/2.42 | ~ (ssList @ sk6)
% 12.56/2.42 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl148])).
% 12.56/2.42 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 12.56/2.42 thf(zf_stmt_6, negated_conjecture, (ssList @ sk7),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_9])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 12.56/2.42 thf(zf_stmt_7, negated_conjecture, (ssList @ sk6),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_8])).
% 12.56/2.42 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_7])).
% 12.56/2.42 thf(zip_derived_cl2233, plain,
% 12.56/2.42 ((~ (ssList @ (cons @ sk5 @ nil))
% 12.56/2.42 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2223, zip_derived_cl193, zip_derived_cl192])).
% 12.56/2.42 thf(zip_derived_cl2267, plain,
% 12.56/2.42 ((~ (ssList @ nil)
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2233])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 12.56/2.42 thf(zf_stmt_8, negated_conjecture, (ssItem @ sk5),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_7])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl2268, plain,
% 12.56/2.42 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2267, zip_derived_cl7, zip_derived_cl191])).
% 12.56/2.42 thf(zip_derived_cl2285, plain,
% 12.56/2.42 ((~ (ssList @ sk7)
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7))))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl119, zip_derived_cl2268])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl2287, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2285, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(clause133, axiom,
% 12.56/2.42 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 12.56/2.42 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 12.56/2.42 thf(zip_derived_cl132, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ((nil) = (X1))
% 12.56/2.42 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause133])).
% 12.56/2.42 thf(zip_derived_cl2305, plain,
% 12.56/2.42 ((~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ~ (ssList @ sk6)
% 12.56/2.42 | ((nil) = (sk6))
% 12.56/2.42 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl2287, zip_derived_cl132])).
% 12.56/2.42 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_7])).
% 12.56/2.42 thf(zip_derived_cl2320, plain,
% 12.56/2.42 ((~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ((nil) = (sk6))
% 12.56/2.42 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl2305, zip_derived_cl192])).
% 12.56/2.42 thf(zip_derived_cl2650, plain,
% 12.56/2.42 ((~ (ssList @ sk7)
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ((nil) = (sk6))
% 12.56/2.42 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2320])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl2651, plain,
% 12.56/2.42 ((((nil) = (sk6))
% 12.56/2.42 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2650, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(clause119, axiom,
% 12.56/2.42 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 12.56/2.42 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 12.56/2.42 thf(zip_derived_cl118, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (((app @ X0 @ X1) != (nil))
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ((nil) = (X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause119])).
% 12.56/2.42 thf(zip_derived_cl3403, plain,
% 12.56/2.42 ((((nil) = (sk6))
% 12.56/2.42 | ((tl @ sk1) != (nil))
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ~ (ssList @ (tl @ sk6))
% 12.56/2.42 | ((nil) = (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl2651, zip_derived_cl118])).
% 12.56/2.42 thf(zip_derived_cl3429, plain,
% 12.56/2.42 ((((sk2) = (nil))
% 12.56/2.42 | ((nil) = (sk6))
% 12.56/2.42 | ((nil) != (nil))
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ~ (ssList @ (tl @ sk6))
% 12.56/2.42 | ((nil) = (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl1533, zip_derived_cl3403])).
% 12.56/2.42 thf(zip_derived_cl3431, plain,
% 12.56/2.42 ((((nil) = (cons @ sk5 @ sk7))
% 12.56/2.42 | ~ (ssList @ (tl @ sk6))
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ((nil) = (sk6))
% 12.56/2.42 | ((sk2) = (nil)))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl3429])).
% 12.56/2.42 thf(zip_derived_cl3433, plain,
% 12.56/2.42 ((((nil) = (sk6))
% 12.56/2.42 | ~ (ssList @ sk6)
% 12.56/2.42 | ((nil) = (cons @ sk5 @ sk7))
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ((nil) = (sk6))
% 12.56/2.42 | ((sk2) = (nil)))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl3431])).
% 12.56/2.42 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_7])).
% 12.56/2.42 thf(zip_derived_cl3434, plain,
% 12.56/2.42 ((((nil) = (sk6))
% 12.56/2.42 | ((nil) = (cons @ sk5 @ sk7))
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ((nil) = (sk6))
% 12.56/2.42 | ((sk2) = (nil)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl3433, zip_derived_cl192])).
% 12.56/2.42 thf(zip_derived_cl3435, plain,
% 12.56/2.42 ((((sk2) = (nil))
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ((nil) = (cons @ sk5 @ sk7))
% 12.56/2.42 | ((nil) = (sk6)))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl3434])).
% 12.56/2.42 thf(zip_derived_cl3595, plain,
% 12.56/2.42 ((~ (ssList @ sk7)
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ((sk2) = (nil))
% 12.56/2.42 | ((nil) = (cons @ sk5 @ sk7))
% 12.56/2.42 | ((nil) = (sk6)))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3435])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl3596, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((nil) = (cons @ sk5 @ sk7)) | ((nil) = (sk6)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl3595, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(clause98, axiom,
% 12.56/2.42 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 12.56/2.42 ( ~( ssList @ V ) ))).
% 12.56/2.42 thf(zip_derived_cl97, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause98])).
% 12.56/2.42 thf(zip_derived_cl3600, plain,
% 12.56/2.42 ((((nil) = (sk6))
% 12.56/2.42 | ((sk2) = (nil))
% 12.56/2.42 | ((nil) != (nil))
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ~ (ssList @ sk7))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl3596, zip_derived_cl97])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl3637, plain,
% 12.56/2.42 ((((nil) = (sk6)) | ((sk2) = (nil)) | ((nil) != (nil)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl3600, zip_derived_cl191, zip_derived_cl193])).
% 12.56/2.42 thf(zip_derived_cl3638, plain, ((((sk2) = (nil)) | ((nil) = (sk6)))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl3637])).
% 12.56/2.42 thf(zip_derived_cl2287, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2285, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(zip_derived_cl3680, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((sk1) = (app @ nil @ (cons @ sk5 @ sk7))))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl3638, zip_derived_cl2287])).
% 12.56/2.42 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 12.56/2.42 thf(zip_derived_cl73, plain,
% 12.56/2.42 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause74])).
% 12.56/2.42 thf(zip_derived_cl3812, plain,
% 12.56/2.42 ((((sk2) = (nil))
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ sk7))
% 12.56/2.42 | ((sk1) = (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl3680, zip_derived_cl73])).
% 12.56/2.42 thf(zip_derived_cl4173, plain,
% 12.56/2.42 ((~ (ssList @ sk7)
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ((sk2) = (nil))
% 12.56/2.42 | ((sk1) = (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3812])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl4174, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((sk1) = (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl4173, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(clause97, axiom,
% 12.56/2.42 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.56/2.42 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 12.56/2.42 thf(zip_derived_cl96, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause97])).
% 12.56/2.42 thf(zip_derived_cl4295, plain,
% 12.56/2.42 ((((sk2) = (nil))
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ~ (ssList @ sk7)
% 12.56/2.42 | ((hd @ sk1) = (sk5)))),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl4174, zip_derived_cl96])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl4347, plain, ((((sk2) = (nil)) | ((hd @ sk1) = (sk5)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl4295, zip_derived_cl191, zip_derived_cl193])).
% 12.56/2.42 thf(zip_derived_cl1400, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((cons @ sk9 @ nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl1367, zip_derived_cl189, zip_derived_cl189,
% 12.56/2.42 zip_derived_cl186, zip_derived_cl7, zip_derived_cl190])).
% 12.56/2.42 thf(zip_derived_cl96, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause97])).
% 12.56/2.42 thf(zip_derived_cl1548, plain,
% 12.56/2.42 ((((sk2) = (nil))
% 12.56/2.42 | ~ (ssItem @ sk9)
% 12.56/2.42 | ~ (ssList @ nil)
% 12.56/2.42 | ((hd @ sk1) = (sk9)))),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl1400, zip_derived_cl96])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(zip_derived_cl1549, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ~ (ssItem @ sk9) | ((hd @ sk1) = (sk9)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl1548, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl1406, plain, ((((sk2) = (nil)) | (ssItem @ sk9))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl1366, zip_derived_cl189, zip_derived_cl189,
% 12.56/2.42 zip_derived_cl186, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl1560, plain, ((((hd @ sk1) = (sk9)) | ((sk2) = (nil)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1549, zip_derived_cl1406])).
% 12.56/2.42 thf(zip_derived_cl1533, plain, ((((tl @ sk1) = (nil)) | ((sk2) = (nil)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1532, zip_derived_cl1406])).
% 12.56/2.42 thf(clause104, axiom,
% 12.56/2.42 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 12.56/2.42 ( ( nil ) = ( U ) ))).
% 12.56/2.42 thf(zip_derived_cl103, plain,
% 12.56/2.42 (![X0 : $i]:
% 12.56/2.42 (~ (ssList @ X0)
% 12.56/2.42 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 12.56/2.42 | ((nil) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause104])).
% 12.56/2.42 thf(zip_derived_cl1572, plain,
% 12.56/2.42 ((((sk2) = (nil))
% 12.56/2.42 | ~ (ssList @ sk1)
% 12.56/2.42 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 12.56/2.42 | ((nil) = (sk1)))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl1533, zip_derived_cl103])).
% 12.56/2.42 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 12.56/2.42 thf(zf_stmt_9, negated_conjecture, (ssList @ sk1),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_1])).
% 12.56/2.42 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.56/2.42 thf(zip_derived_cl1575, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl1572, zip_derived_cl185])).
% 12.56/2.42 thf(co1_16, conjecture,
% 12.56/2.42 (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 12.56/2.42 thf(zf_stmt_10, negated_conjecture,
% 12.56/2.42 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_16])).
% 12.56/2.42 thf(zip_derived_cl200, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_10])).
% 12.56/2.42 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.56/2.42 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_3])).
% 12.56/2.42 thf(zip_derived_cl1395, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 12.56/2.42 thf(zip_derived_cl1587, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((cons @ (hd @ sk1) @ nil) = (sk1)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1575, zip_derived_cl1395])).
% 12.56/2.42 thf(zip_derived_cl1596, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((nil) = (sk1)) | ((cons @ sk9 @ nil) = (sk1)))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl1560, zip_derived_cl1587])).
% 12.56/2.42 thf(zip_derived_cl1395, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 12.56/2.42 thf(zip_derived_cl1608, plain,
% 12.56/2.42 ((((cons @ sk9 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1596, zip_derived_cl1395])).
% 12.56/2.42 thf(zip_derived_cl96, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause97])).
% 12.56/2.42 thf(zip_derived_cl1611, plain,
% 12.56/2.42 ((((nil) = (sk1))
% 12.56/2.42 | ~ (ssItem @ sk9)
% 12.56/2.42 | ~ (ssList @ nil)
% 12.56/2.42 | ((hd @ sk1) = (sk9)))),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl1608, zip_derived_cl96])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(zip_derived_cl1619, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ~ (ssItem @ sk9) | ((hd @ sk1) = (sk9)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl1611, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl1560, plain, ((((hd @ sk1) = (sk9)) | ((sk2) = (nil)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1549, zip_derived_cl1406])).
% 12.56/2.42 thf(clause76, axiom,
% 12.56/2.42 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 12.56/2.42 thf(zip_derived_cl75, plain,
% 12.56/2.42 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause76])).
% 12.56/2.42 thf(zip_derived_cl1561, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ~ (ssList @ sk1) | (ssItem @ sk9) | ((nil) = (sk1)))),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl1560, zip_derived_cl75])).
% 12.56/2.42 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.56/2.42 thf(zip_derived_cl1562, plain,
% 12.56/2.42 ((((sk2) = (nil)) | (ssItem @ sk9) | ((nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl1561, zip_derived_cl185])).
% 12.56/2.42 thf(zip_derived_cl1395, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 12.56/2.42 thf(zip_derived_cl1565, plain, ((((nil) = (sk1)) | (ssItem @ sk9))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1562, zip_derived_cl1395])).
% 12.56/2.42 thf(zip_derived_cl1629, plain, ((((hd @ sk1) = (sk9)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1619, zip_derived_cl1565])).
% 12.56/2.42 thf(zip_derived_cl6184, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((sk5) = (sk9)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl4347, zip_derived_cl1629])).
% 12.56/2.42 thf(zip_derived_cl1395, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 12.56/2.42 thf(zip_derived_cl6210, plain, ((((nil) = (sk1)) | ((sk5) = (sk9)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl6184, zip_derived_cl1395])).
% 12.56/2.42 thf(zip_derived_cl4174, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((sk1) = (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl4173, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(zip_derived_cl95, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause96])).
% 12.56/2.42 thf(zip_derived_cl4294, plain,
% 12.56/2.42 ((((sk2) = (nil))
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ~ (ssList @ sk7)
% 12.56/2.42 | ((tl @ sk1) = (sk7)))),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl4174, zip_derived_cl95])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl4346, plain, ((((sk2) = (nil)) | ((tl @ sk1) = (sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl4294, zip_derived_cl191, zip_derived_cl193])).
% 12.56/2.42 thf(zip_derived_cl1629, plain, ((((hd @ sk1) = (sk9)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1619, zip_derived_cl1565])).
% 12.56/2.42 thf(zip_derived_cl103, plain,
% 12.56/2.42 (![X0 : $i]:
% 12.56/2.42 (~ (ssList @ X0)
% 12.56/2.42 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 12.56/2.42 | ((nil) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause104])).
% 12.56/2.42 thf(zip_derived_cl1631, plain,
% 12.56/2.42 ((((nil) = (sk1))
% 12.56/2.42 | ~ (ssList @ sk1)
% 12.56/2.42 | ((cons @ sk9 @ (tl @ sk1)) = (sk1))
% 12.56/2.42 | ((nil) = (sk1)))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl1629, zip_derived_cl103])).
% 12.56/2.42 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.56/2.42 thf(zip_derived_cl1635, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((cons @ sk9 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl1631, zip_derived_cl185])).
% 12.56/2.42 thf(zip_derived_cl1636, plain,
% 12.56/2.42 ((((cons @ sk9 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl1635])).
% 12.56/2.42 thf(zip_derived_cl4504, plain,
% 12.56/2.42 ((((sk2) = (nil)) | ((cons @ sk9 @ sk7) = (sk1)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl4346, zip_derived_cl1636])).
% 12.56/2.42 thf(zip_derived_cl1395, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl200, zip_derived_cl189, zip_derived_cl190])).
% 12.56/2.42 thf(zip_derived_cl5177, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((cons @ sk9 @ sk7) = (sk1)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl4504, zip_derived_cl1395])).
% 12.56/2.42 thf(zip_derived_cl6222, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((nil) = (sk1)) | ((cons @ sk5 @ sk7) = (sk1)))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl6210, zip_derived_cl5177])).
% 12.56/2.42 thf(zip_derived_cl6229, plain,
% 12.56/2.42 ((((cons @ sk5 @ sk7) = (sk1)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl6222])).
% 12.56/2.42 thf(zip_derived_cl2287, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2285, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(zip_derived_cl6291, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((sk1) = (app @ sk6 @ sk1)))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl6229, zip_derived_cl2287])).
% 12.56/2.42 thf(zip_derived_cl73, plain,
% 12.56/2.42 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause74])).
% 12.56/2.42 thf(clause151, axiom,
% 12.56/2.42 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 12.56/2.42 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 12.56/2.42 thf(zip_derived_cl150, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.56/2.42 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 12.56/2.42 | ~ (ssList @ X2)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ((X2) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause151])).
% 12.56/2.42 thf(zip_derived_cl2336, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0)
% 12.56/2.42 | ((X0) != (app @ X1 @ X0))
% 12.56/2.42 | ~ (ssList @ nil)
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ((nil) = (X1)))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl150])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(zip_derived_cl2362, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0)
% 12.56/2.42 | ((X0) != (app @ X1 @ X0))
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ((nil) = (X1)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl2336, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl2363, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (((nil) = (X1))
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ((X0) != (app @ X1 @ X0))
% 12.56/2.42 | ~ (ssList @ X0))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl2362])).
% 12.56/2.42 thf(zip_derived_cl6897, plain,
% 12.56/2.42 ((((nil) = (sk1))
% 12.56/2.42 | ((nil) = (sk6))
% 12.56/2.42 | ~ (ssList @ sk6)
% 12.56/2.42 | ((sk1) != (sk1))
% 12.56/2.42 | ~ (ssList @ sk1))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl6291, zip_derived_cl2363])).
% 12.56/2.42 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_7])).
% 12.56/2.42 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.56/2.42 thf(zip_derived_cl6932, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((nil) = (sk6)) | ((sk1) != (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl6897, zip_derived_cl192, zip_derived_cl185])).
% 12.56/2.42 thf(zip_derived_cl6933, plain, ((((nil) = (sk6)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl6932])).
% 12.56/2.42 thf(co1_12, conjecture,
% 12.56/2.42 (~( ( memberP @ sk7 @ sk8 ) | ( memberP @ sk6 @ sk8 ) ))).
% 12.56/2.42 thf(zf_stmt_11, negated_conjecture,
% 12.56/2.42 (( memberP @ sk7 @ sk8 ) | ( memberP @ sk6 @ sk8 )),
% 12.56/2.42 inference('cnf.neg', [status(esa)], [co1_12])).
% 12.56/2.42 thf(zip_derived_cl196, plain,
% 12.56/2.42 (( (memberP @ sk7 @ sk8) | (memberP @ sk6 @ sk8))),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_11])).
% 12.56/2.42 thf(zip_derived_cl5177, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((cons @ sk9 @ sk7) = (sk1)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl4504, zip_derived_cl1395])).
% 12.56/2.42 thf(zip_derived_cl2287, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2285, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(clause175, axiom,
% 12.56/2.42 (( ( app @ U @ ( cons @ V @ W ) ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 12.56/2.42 ( ~( ssList @ U ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ X ) ) |
% 12.56/2.42 ( memberP @ X @ V ))).
% 12.56/2.42 thf(zip_derived_cl174, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.56/2.42 (((app @ X1 @ (cons @ X2 @ X3)) != (X0))
% 12.56/2.42 | ~ (ssList @ X3)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ~ (ssItem @ X2)
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | (memberP @ X0 @ X2))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause175])).
% 12.56/2.42 thf(zip_derived_cl2983, plain,
% 12.56/2.42 (![X0 : $i]:
% 12.56/2.42 (((sk1) != (X0))
% 12.56/2.42 | ~ (ssList @ sk7)
% 12.56/2.42 | ~ (ssList @ sk6)
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | (memberP @ X0 @ sk5))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl2287, zip_derived_cl174])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_7])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl3003, plain,
% 12.56/2.42 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2983, zip_derived_cl193, zip_derived_cl192,
% 12.56/2.42 zip_derived_cl191])).
% 12.56/2.42 thf(zip_derived_cl1608, plain,
% 12.56/2.42 ((((cons @ sk9 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1596, zip_derived_cl1395])).
% 12.56/2.42 thf(clause161, axiom,
% 12.56/2.42 (( ~( memberP @ ( cons @ U @ V ) @ W ) ) | ( ~( ssList @ V ) ) |
% 12.56/2.42 ( ~( ssItem @ U ) ) | ( ~( ssItem @ W ) ) | ( memberP @ V @ W ) |
% 12.56/2.42 ( ( W ) = ( U ) ))).
% 12.56/2.42 thf(zip_derived_cl160, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.56/2.42 (~ (memberP @ (cons @ X0 @ X1) @ X2)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ~ (ssItem @ X0)
% 12.56/2.42 | ~ (ssItem @ X2)
% 12.56/2.42 | (memberP @ X1 @ X2)
% 12.56/2.42 | ((X2) = (X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause161])).
% 12.56/2.42 thf(zip_derived_cl2658, plain,
% 12.56/2.42 (![X0 : $i]:
% 12.56/2.42 (((nil) = (sk1))
% 12.56/2.42 | ~ (memberP @ sk1 @ X0)
% 12.56/2.42 | ~ (ssList @ nil)
% 12.56/2.42 | ~ (ssItem @ sk9)
% 12.56/2.42 | ~ (ssItem @ X0)
% 12.56/2.42 | (memberP @ nil @ X0)
% 12.56/2.42 | ((X0) = (sk9)))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl1608, zip_derived_cl160])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(zip_derived_cl2665, plain,
% 12.56/2.42 (![X0 : $i]:
% 12.56/2.42 (((nil) = (sk1))
% 12.56/2.42 | ~ (memberP @ sk1 @ X0)
% 12.56/2.42 | ~ (ssItem @ sk9)
% 12.56/2.42 | ~ (ssItem @ X0)
% 12.56/2.42 | (memberP @ nil @ X0)
% 12.56/2.42 | ((X0) = (sk9)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl2658, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl85, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause86])).
% 12.56/2.42 thf(clause85, axiom,
% 12.56/2.42 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 12.56/2.42 thf(zip_derived_cl84, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause85])).
% 12.56/2.42 thf(zip_derived_cl2287, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2285, zip_derived_cl193, zip_derived_cl191])).
% 12.56/2.42 thf(clause72, axiom,
% 12.56/2.42 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 12.56/2.42 thf(zip_derived_cl71, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause72])).
% 12.56/2.42 thf(clause179, axiom,
% 12.56/2.42 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 12.56/2.42 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 12.56/2.42 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 12.56/2.42 thf(zip_derived_cl178, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.56/2.42 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 12.56/2.42 | ~ (ssList @ X4)
% 12.56/2.42 | ~ (ssList @ X3)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ~ (ssItem @ X2)
% 12.56/2.42 | ~ (duplicatefreeP @ X0)
% 12.56/2.42 | ~ (ssList @ X0))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause179])).
% 12.56/2.42 thf(zip_derived_cl1374, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.56/2.42 ( (ssItem @ X1)
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ~ (ssItem @ X3)
% 12.56/2.42 | ~ (ssList @ X5)
% 12.56/2.42 | ~ (ssList @ X4)
% 12.56/2.42 | ~ (ssList @ X2)
% 12.56/2.42 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 12.56/2.42 inference('dp-resolution', [status(thm)],
% 12.56/2.42 [zip_derived_cl71, zip_derived_cl178])).
% 12.56/2.42 thf(zip_derived_cl3540, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.56/2.42 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 12.56/2.42 | ~ (ssList @ X2)
% 12.56/2.42 | ~ (ssList @ X4)
% 12.56/2.42 | ~ (ssList @ X5)
% 12.56/2.42 | ~ (ssItem @ X3)
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | (ssItem @ X1))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 12.56/2.42 thf(zip_derived_cl3574, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.56/2.42 ( (ssItem @ X0)
% 12.56/2.42 | ~ (ssList @
% 12.56/2.42 (app @ (app @ X4 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X1)))
% 12.56/2.42 | ~ (ssItem @ X2)
% 12.56/2.42 | ~ (ssList @ X4)
% 12.56/2.42 | ~ (ssList @ X3)
% 12.56/2.42 | ~ (ssList @ X1))),
% 12.56/2.42 inference('eq_res', [status(thm)], [zip_derived_cl3540])).
% 12.56/2.42 thf(zip_derived_cl4589, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 ( (ssItem @ X1)
% 12.56/2.42 | ~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 12.56/2.42 | ~ (ssItem @ sk5)
% 12.56/2.42 | ~ (ssList @ sk6)
% 12.56/2.42 | ~ (ssList @ sk7)
% 12.56/2.42 | ~ (ssList @ X0))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl2287, zip_derived_cl3574])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_7])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl4618, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 ( (ssItem @ X1)
% 12.56/2.42 | ~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 12.56/2.42 | ~ (ssList @ X0))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl4589, zip_derived_cl191, zip_derived_cl192,
% 12.56/2.42 zip_derived_cl193])).
% 12.56/2.42 thf(zip_derived_cl4761, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ sk1)
% 12.56/2.42 | ~ (ssList @ (cons @ sk5 @ X0))
% 12.56/2.42 | (ssItem @ X1)
% 12.56/2.42 | ~ (ssList @ X0))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4618])).
% 12.56/2.42 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.56/2.42 thf(zip_derived_cl4765, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ (cons @ sk5 @ X0)) | (ssItem @ X1) | ~ (ssList @ X0))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl4761, zip_derived_cl185])).
% 12.56/2.42 thf(zip_derived_cl5821, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0) | ~ (ssItem @ sk5) | (ssItem @ X1) | ~ (ssList @ X0))),
% 12.56/2.42 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4765])).
% 12.56/2.42 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.56/2.42 thf(zip_derived_cl5824, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (~ (ssList @ X0) | (ssItem @ X1) | ~ (ssList @ X0))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl5821, zip_derived_cl191])).
% 12.56/2.42 thf(zip_derived_cl5825, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]: ( (ssItem @ X1) | ~ (ssList @ X0))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl5824])).
% 12.56/2.42 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 12.56/2.42 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause13])).
% 12.56/2.42 thf(zip_derived_cl5986, plain, (![X1 : $i]: (ssItem @ X1)),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl5825, zip_derived_cl12])).
% 12.56/2.42 thf(zip_derived_cl5986, plain, (![X1 : $i]: (ssItem @ X1)),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl5825, zip_derived_cl12])).
% 12.56/2.42 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 12.56/2.42 thf(zip_derived_cl70, plain,
% 12.56/2.42 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause71])).
% 12.56/2.42 thf(zip_derived_cl5986, plain, (![X1 : $i]: (ssItem @ X1)),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl5825, zip_derived_cl12])).
% 12.56/2.42 thf(zip_derived_cl6084, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5986])).
% 12.56/2.42 thf(zip_derived_cl10052, plain,
% 12.56/2.42 (![X0 : $i]: (((nil) = (sk1)) | ~ (memberP @ sk1 @ X0) | ((X0) = (sk9)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2665, zip_derived_cl5986, zip_derived_cl5986,
% 12.56/2.42 zip_derived_cl6084])).
% 12.56/2.42 thf(zip_derived_cl11270, plain,
% 12.56/2.42 ((~ (ssList @ sk1) | ((sk1) != (sk1)) | ((nil) = (sk1)) | ((sk5) = (sk9)))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl3003, zip_derived_cl10052])).
% 12.56/2.42 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.56/2.42 thf(zip_derived_cl11278, plain,
% 12.56/2.42 ((((sk1) != (sk1)) | ((nil) = (sk1)) | ((sk5) = (sk9)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl11270, zip_derived_cl185])).
% 12.56/2.42 thf(zip_derived_cl11279, plain, ((((sk5) = (sk9)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl11278])).
% 12.56/2.42 thf(zip_derived_cl3003, plain,
% 12.56/2.42 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2983, zip_derived_cl193, zip_derived_cl192,
% 12.56/2.42 zip_derived_cl191])).
% 12.56/2.42 thf(zip_derived_cl6084, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5986])).
% 12.56/2.42 thf(zip_derived_cl11266, plain, ((~ (ssList @ nil) | ((sk1) != (nil)))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl3003, zip_derived_cl6084])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(zip_derived_cl11273, plain, (((sk1) != (nil))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl11266, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl11282, plain, (((sk5) = (sk9))),
% 12.56/2.42 inference('simplify_reflect-', [status(thm)],
% 12.56/2.42 [zip_derived_cl11279, zip_derived_cl11273])).
% 12.56/2.42 thf(zip_derived_cl11307, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((cons @ sk5 @ sk7) = (sk1)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl5177, zip_derived_cl11282])).
% 12.56/2.42 thf(zip_derived_cl11273, plain, (((sk1) != (nil))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl11266, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl11308, plain, (((cons @ sk5 @ sk7) = (sk1))),
% 12.56/2.42 inference('simplify_reflect-', [status(thm)],
% 12.56/2.42 [zip_derived_cl11307, zip_derived_cl11273])).
% 12.56/2.42 thf(zip_derived_cl1587, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((cons @ (hd @ sk1) @ nil) = (sk1)))),
% 12.56/2.42 inference('clc', [status(thm)], [zip_derived_cl1575, zip_derived_cl1395])).
% 12.56/2.42 thf(clause171, axiom,
% 12.56/2.42 (( ( cons @ U @ V ) != ( cons @ W @ X ) ) | ( ~( ssItem @ W ) ) |
% 12.56/2.42 ( ~( ssItem @ U ) ) | ( ~( ssList @ X ) ) | ( ~( ssList @ V ) ) |
% 12.56/2.42 ( ( X ) = ( V ) ))).
% 12.56/2.42 thf(zip_derived_cl170, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.56/2.42 (((cons @ X2 @ X3) != (cons @ X0 @ X1))
% 12.56/2.42 | ~ (ssItem @ X0)
% 12.56/2.42 | ~ (ssItem @ X2)
% 12.56/2.42 | ~ (ssList @ X1)
% 12.56/2.42 | ~ (ssList @ X3)
% 12.56/2.42 | ((X1) = (X3)))),
% 12.56/2.42 inference('cnf', [status(esa)], [clause171])).
% 12.56/2.42 thf(zip_derived_cl2667, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (((nil) = (sk1))
% 12.56/2.42 | ((sk1) != (cons @ X1 @ X0))
% 12.56/2.42 | ~ (ssItem @ X1)
% 12.56/2.42 | ~ (ssItem @ (hd @ sk1))
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ~ (ssList @ nil)
% 12.56/2.42 | ((X0) = (nil)))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl1587, zip_derived_cl170])).
% 12.56/2.42 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.56/2.42 inference('cnf', [status(esa)], [clause8])).
% 12.56/2.42 thf(zip_derived_cl2681, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (((nil) = (sk1))
% 12.56/2.42 | ((sk1) != (cons @ X1 @ X0))
% 12.56/2.42 | ~ (ssItem @ X1)
% 12.56/2.42 | ~ (ssItem @ (hd @ sk1))
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ((X0) = (nil)))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl2667, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl5986, plain, (![X1 : $i]: (ssItem @ X1)),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl5825, zip_derived_cl12])).
% 12.56/2.42 thf(zip_derived_cl5986, plain, (![X1 : $i]: (ssItem @ X1)),
% 12.56/2.42 inference('s_sup+', [status(thm)], [zip_derived_cl5825, zip_derived_cl12])).
% 12.56/2.42 thf(zip_derived_cl10063, plain,
% 12.56/2.42 (![X0 : $i, X1 : $i]:
% 12.56/2.42 (((nil) = (sk1))
% 12.56/2.42 | ((sk1) != (cons @ X1 @ X0))
% 12.56/2.42 | ~ (ssList @ X0)
% 12.56/2.42 | ((X0) = (nil)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl2681, zip_derived_cl5986, zip_derived_cl5986])).
% 12.56/2.42 thf(zip_derived_cl11768, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((sk1) != (sk1)) | ~ (ssList @ sk7) | ((sk7) = (nil)))),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl11308, zip_derived_cl10063])).
% 12.56/2.42 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 12.56/2.42 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.56/2.42 thf(zip_derived_cl11800, plain,
% 12.56/2.42 ((((nil) = (sk1)) | ((sk1) != (sk1)) | ((sk7) = (nil)))),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl11768, zip_derived_cl193])).
% 12.56/2.42 thf(zip_derived_cl11801, plain, ((((sk7) = (nil)) | ((nil) = (sk1)))),
% 12.56/2.42 inference('simplify', [status(thm)], [zip_derived_cl11800])).
% 12.56/2.42 thf(zip_derived_cl11273, plain, (((sk1) != (nil))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl11266, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl11802, plain, (((sk7) = (nil))),
% 12.56/2.42 inference('simplify_reflect-', [status(thm)],
% 12.56/2.42 [zip_derived_cl11801, zip_derived_cl11273])).
% 12.56/2.42 thf(zip_derived_cl6084, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5986])).
% 12.56/2.42 thf(zip_derived_cl11917, plain, ( (memberP @ sk6 @ sk8)),
% 12.56/2.42 inference('demod', [status(thm)],
% 12.56/2.42 [zip_derived_cl196, zip_derived_cl11802, zip_derived_cl6084])).
% 12.56/2.42 thf(zip_derived_cl12014, plain, ((((nil) = (sk1)) | (memberP @ nil @ sk8))),
% 12.56/2.42 inference('s_sup+', [status(thm)],
% 12.56/2.42 [zip_derived_cl6933, zip_derived_cl11917])).
% 12.56/2.42 thf(zip_derived_cl11273, plain, (((sk1) != (nil))),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl11266, zip_derived_cl7])).
% 12.56/2.42 thf(zip_derived_cl12015, plain, ( (memberP @ nil @ sk8)),
% 12.56/2.42 inference('simplify_reflect-', [status(thm)],
% 12.56/2.42 [zip_derived_cl12014, zip_derived_cl11273])).
% 12.56/2.42 thf(zip_derived_cl6084, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 12.56/2.42 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5986])).
% 12.56/2.42 thf(zip_derived_cl12147, plain, ($false),
% 12.56/2.42 inference('s_sup-', [status(thm)],
% 12.56/2.42 [zip_derived_cl12015, zip_derived_cl6084])).
% 12.56/2.42
% 12.56/2.42 % SZS output end Refutation
% 12.56/2.42
% 12.56/2.42
% 12.56/2.43 % Terminating...
% 12.56/2.46 % Runner terminated.
% 12.56/2.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------