TSTP Solution File: SWC184-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC184-1 : 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.iBG8NjBzaB 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 21:29:43 EDT 2023
% Result : Unsatisfiable 9.33s 1.97s
% Output : Refutation 9.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC184-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iBG8NjBzaB true
% 0.14/0.35 % Computer : n024.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 17:06:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.33/1.97 % Solved by fo/fo6_bce.sh.
% 9.33/1.97 % BCE start: 204
% 9.33/1.97 % BCE eliminated: 4
% 9.33/1.97 % PE start: 200
% 9.33/1.97 logic: eq
% 9.33/1.97 % PE eliminated: 6
% 9.33/1.97 % done 999 iterations in 1.240s
% 9.33/1.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.33/1.97 % SZS output start Refutation
% 9.33/1.97 thf(nil_type, type, nil: $i).
% 9.33/1.97 thf(cons_type, type, cons: $i > $i > $i).
% 9.33/1.97 thf(sk2_type, type, sk2: $i).
% 9.33/1.97 thf(sk8_type, type, sk8: $i).
% 9.33/1.97 thf(sk6_type, type, sk6: $i).
% 9.33/1.97 thf(sk4_type, type, sk4: $i).
% 9.33/1.97 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 9.33/1.97 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 9.33/1.97 thf(tl_type, type, tl: $i > $i).
% 9.33/1.97 thf(memberP_type, type, memberP: $i > $i > $o).
% 9.33/1.97 thf(hd_type, type, hd: $i > $i).
% 9.33/1.97 thf(ssItem_type, type, ssItem: $i > $o).
% 9.33/1.97 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 9.33/1.97 thf(sk5_type, type, sk5: $i).
% 9.33/1.97 thf(sk3_type, type, sk3: $i).
% 9.33/1.97 thf(app_type, type, app: $i > $i > $i).
% 9.33/1.97 thf(ssList_type, type, ssList: $i > $o).
% 9.33/1.97 thf(sk7_type, type, sk7: $i).
% 9.33/1.97 thf(sk1_type, type, sk1: $i).
% 9.33/1.97 thf(co1_11, conjecture,
% 9.33/1.97 (~( ( memberP @ sk7 @ sk5 ) | ( memberP @ sk6 @ sk5 ) ))).
% 9.33/1.97 thf(zf_stmt_0, negated_conjecture,
% 9.33/1.97 (( memberP @ sk7 @ sk5 ) | ( memberP @ sk6 @ sk5 )),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_11])).
% 9.33/1.97 thf(zip_derived_cl195, plain,
% 9.33/1.97 (( (memberP @ sk7 @ sk5) | (memberP @ sk6 @ sk5))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.33/1.97 thf(clause85, axiom,
% 9.33/1.97 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 9.33/1.97 thf(zip_derived_cl84, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause85])).
% 9.33/1.97 thf(clause75, axiom,
% 9.33/1.97 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 9.33/1.97 thf(zip_derived_cl74, plain,
% 9.33/1.97 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause75])).
% 9.33/1.97 thf(clause86, axiom,
% 9.33/1.97 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 9.33/1.97 thf(zip_derived_cl85, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause86])).
% 9.33/1.97 thf(zip_derived_cl84, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause85])).
% 9.33/1.97 thf(co1_10, conjecture,
% 9.33/1.97 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) != ( sk1 ))).
% 9.33/1.97 thf(zf_stmt_1, negated_conjecture,
% 9.33/1.97 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk1 )),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_10])).
% 9.33/1.97 thf(zip_derived_cl194, plain,
% 9.33/1.97 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.33/1.97 thf(clause133, axiom,
% 9.33/1.97 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 9.33/1.97 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 9.33/1.97 thf(zip_derived_cl132, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssList @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((nil) = (X1))
% 9.33/1.97 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause133])).
% 9.33/1.97 thf(zip_derived_cl1902, plain,
% 9.33/1.97 ((~ (ssList @ sk7)
% 9.33/1.97 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 9.33/1.97 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl132])).
% 9.33/1.97 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 9.33/1.97 thf(zf_stmt_2, negated_conjecture, (ssList @ sk7),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_9])).
% 9.33/1.97 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.33/1.97 thf(zip_derived_cl1913, plain,
% 9.33/1.97 ((~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl1902, zip_derived_cl193])).
% 9.33/1.97 thf(zip_derived_cl2239, plain,
% 9.33/1.97 ((~ (ssList @ sk6)
% 9.33/1.97 | ~ (ssList @ (cons @ sk5 @ nil))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1913])).
% 9.33/1.97 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 9.33/1.97 thf(zf_stmt_3, negated_conjecture, (ssList @ sk6),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_8])).
% 9.33/1.97 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.33/1.97 thf(zip_derived_cl2241, plain,
% 9.33/1.97 ((~ (ssList @ (cons @ sk5 @ nil))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl2239, zip_derived_cl192])).
% 9.33/1.97 thf(zip_derived_cl2243, plain,
% 9.33/1.97 ((~ (ssList @ nil)
% 9.33/1.97 | ~ (ssItem @ sk5)
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2241])).
% 9.33/1.97 thf(clause8, axiom, (ssList @ nil)).
% 9.33/1.97 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.33/1.97 inference('cnf', [status(esa)], [clause8])).
% 9.33/1.97 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 9.33/1.97 thf(zf_stmt_4, negated_conjecture, (ssItem @ sk5),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_7])).
% 9.33/1.97 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.33/1.97 thf(zip_derived_cl2244, plain,
% 9.33/1.97 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl2243, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl74, plain,
% 9.33/1.97 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause75])).
% 9.33/1.97 thf(co1_17, conjecture,
% 9.33/1.97 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk8 @ nil ) = ( sk3 ) ) ))).
% 9.33/1.97 thf(zf_stmt_5, negated_conjecture,
% 9.33/1.97 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk8 @ nil ) = ( sk3 ) )),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_17])).
% 9.33/1.97 thf(zip_derived_cl201, plain,
% 9.33/1.97 ((((nil) = (sk3)) | ((cons @ sk8 @ nil) = (sk3)))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.33/1.97 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 9.33/1.97 thf(zf_stmt_6, negated_conjecture, (( sk1 ) = ( sk3 )),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_6])).
% 9.33/1.97 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.33/1.97 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.33/1.97 thf(zip_derived_cl1380, plain,
% 9.33/1.97 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl201, zip_derived_cl190, zip_derived_cl190])).
% 9.33/1.97 thf(clause97, axiom,
% 9.33/1.97 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 9.33/1.97 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 9.33/1.97 thf(zip_derived_cl96, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause97])).
% 9.33/1.97 thf(zip_derived_cl1546, plain,
% 9.33/1.97 ((((nil) = (sk1))
% 9.33/1.97 | ~ (ssItem @ sk8)
% 9.33/1.97 | ~ (ssList @ nil)
% 9.33/1.97 | ((hd @ sk1) = (sk8)))),
% 9.33/1.97 inference('s_sup+', [status(thm)], [zip_derived_cl1380, zip_derived_cl96])).
% 9.33/1.97 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.33/1.97 inference('cnf', [status(esa)], [clause8])).
% 9.33/1.97 thf(zip_derived_cl1548, plain,
% 9.33/1.97 ((((nil) = (sk1)) | ~ (ssItem @ sk8) | ((hd @ sk1) = (sk8)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl1546, zip_derived_cl7])).
% 9.33/1.97 thf(co1_13, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk8 ) ))).
% 9.33/1.97 thf(zf_stmt_7, negated_conjecture,
% 9.33/1.97 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk8 )),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_13])).
% 9.33/1.97 thf(zip_derived_cl197, plain, ((((nil) = (sk3)) | (ssItem @ sk8))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.33/1.97 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.33/1.97 thf(zip_derived_cl1384, plain, ((((nil) = (sk1)) | (ssItem @ sk8))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl190])).
% 9.33/1.97 thf(zip_derived_cl1581, plain, ((((hd @ sk1) = (sk8)) | ((nil) = (sk1)))),
% 9.33/1.97 inference('clc', [status(thm)], [zip_derived_cl1548, zip_derived_cl1384])).
% 9.33/1.97 thf(clause104, axiom,
% 9.33/1.97 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 9.33/1.97 ( ( nil ) = ( U ) ))).
% 9.33/1.97 thf(zip_derived_cl103, plain,
% 9.33/1.97 (![X0 : $i]:
% 9.33/1.97 (~ (ssList @ X0)
% 9.33/1.97 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 9.33/1.97 | ((nil) = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause104])).
% 9.33/1.97 thf(zip_derived_cl1583, plain,
% 9.33/1.97 ((((nil) = (sk1))
% 9.33/1.97 | ~ (ssList @ sk1)
% 9.33/1.97 | ((cons @ sk8 @ (tl @ sk1)) = (sk1))
% 9.33/1.97 | ((nil) = (sk1)))),
% 9.33/1.97 inference('s_sup+', [status(thm)],
% 9.33/1.97 [zip_derived_cl1581, zip_derived_cl103])).
% 9.33/1.97 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 9.33/1.97 thf(zf_stmt_8, negated_conjecture, (ssList @ sk1),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_1])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl1586, plain,
% 9.33/1.97 ((((nil) = (sk1)) | ((cons @ sk8 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl1583, zip_derived_cl185])).
% 9.33/1.97 thf(zip_derived_cl1587, plain,
% 9.33/1.97 ((((cons @ sk8 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl1586])).
% 9.33/1.97 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 9.33/1.97 thf(zip_derived_cl72, plain,
% 9.33/1.97 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause73])).
% 9.33/1.97 thf(zip_derived_cl1380, plain,
% 9.33/1.97 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl201, zip_derived_cl190, zip_derived_cl190])).
% 9.33/1.97 thf(clause120, axiom,
% 9.33/1.97 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 9.33/1.97 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 9.33/1.97 thf(zip_derived_cl119, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssItem @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause120])).
% 9.33/1.97 thf(zip_derived_cl1694, plain,
% 9.33/1.97 (![X0 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | ~ (ssItem @ sk8)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((app @ sk1 @ X0) = (cons @ sk8 @ X0)))),
% 9.33/1.97 inference('s_sup+', [status(thm)],
% 9.33/1.97 [zip_derived_cl1380, zip_derived_cl119])).
% 9.33/1.97 thf(zip_derived_cl1384, plain, ((((nil) = (sk1)) | (ssItem @ sk8))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl190])).
% 9.33/1.97 thf(zip_derived_cl2114, plain,
% 9.33/1.97 (![X0 : $i]:
% 9.33/1.97 (((app @ sk1 @ X0) = (cons @ sk8 @ X0))
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((nil) = (sk1)))),
% 9.33/1.97 inference('clc', [status(thm)], [zip_derived_cl1694, zip_derived_cl1384])).
% 9.33/1.97 thf(clause150, axiom,
% 9.33/1.97 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 9.33/1.97 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 9.33/1.97 thf(zip_derived_cl149, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 9.33/1.97 | ~ (ssList @ X2)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((X2) = (X1)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause150])).
% 9.33/1.97 thf(zip_derived_cl2121, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((app @ sk1 @ X1) != (cons @ sk8 @ X0))
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssList @ sk1)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((X1) = (X0)))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl2114, zip_derived_cl149])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl2142, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((app @ sk1 @ X1) != (cons @ sk8 @ X0))
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((X1) = (X0)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl2121, zip_derived_cl185])).
% 9.33/1.97 thf(zip_derived_cl2143, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((X1) = (X0))
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((app @ sk1 @ X1) != (cons @ sk8 @ X0))
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((nil) = (sk1)))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl2142])).
% 9.33/1.97 thf(zip_derived_cl119, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssItem @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause120])).
% 9.33/1.97 thf(zip_derived_cl85, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause86])).
% 9.33/1.97 thf(zip_derived_cl194, plain,
% 9.33/1.97 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.33/1.97 thf(clause149, axiom,
% 9.33/1.97 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 9.33/1.97 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 9.33/1.97 thf(zip_derived_cl148, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 (~ (ssList @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssList @ X2)
% 9.33/1.97 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause149])).
% 9.33/1.97 thf(zip_derived_cl2327, plain,
% 9.33/1.97 ((~ (ssList @ sk7)
% 9.33/1.97 | ~ (ssList @ (cons @ sk5 @ nil))
% 9.33/1.97 | ~ (ssList @ sk6)
% 9.33/1.97 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 9.33/1.97 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl148])).
% 9.33/1.97 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.33/1.97 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.33/1.97 thf(zip_derived_cl2338, plain,
% 9.33/1.97 ((~ (ssList @ (cons @ sk5 @ nil))
% 9.33/1.97 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl2327, zip_derived_cl193, zip_derived_cl192])).
% 9.33/1.97 thf(zip_derived_cl2441, plain,
% 9.33/1.97 ((~ (ssList @ nil)
% 9.33/1.97 | ~ (ssItem @ sk5)
% 9.33/1.97 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2338])).
% 9.33/1.97 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.33/1.97 inference('cnf', [status(esa)], [clause8])).
% 9.33/1.97 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.33/1.97 thf(zip_derived_cl2442, plain,
% 9.33/1.97 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl2441, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl2462, plain,
% 9.33/1.97 ((~ (ssList @ sk7)
% 9.33/1.97 | ~ (ssItem @ sk5)
% 9.33/1.97 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7))))),
% 9.33/1.97 inference('s_sup+', [status(thm)],
% 9.33/1.97 [zip_derived_cl119, zip_derived_cl2442])).
% 9.33/1.97 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.33/1.97 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.33/1.97 thf(zip_derived_cl2464, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl2462, zip_derived_cl193, zip_derived_cl191])).
% 9.33/1.97 thf(clause175, axiom,
% 9.33/1.97 (( ( app @ U @ ( cons @ V @ W ) ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 9.33/1.97 ( ~( ssList @ U ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ X ) ) |
% 9.33/1.97 ( memberP @ X @ V ))).
% 9.33/1.97 thf(zip_derived_cl174, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.33/1.97 (((app @ X1 @ (cons @ X2 @ X3)) != (X0))
% 9.33/1.97 | ~ (ssList @ X3)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssItem @ X2)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | (memberP @ X0 @ X2))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause175])).
% 9.33/1.97 thf(zip_derived_cl3407, plain,
% 9.33/1.97 (![X0 : $i]:
% 9.33/1.97 (((sk1) != (X0))
% 9.33/1.97 | ~ (ssList @ sk7)
% 9.33/1.97 | ~ (ssList @ sk6)
% 9.33/1.97 | ~ (ssItem @ sk5)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | (memberP @ X0 @ sk5))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl2464, zip_derived_cl174])).
% 9.33/1.97 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.33/1.97 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.33/1.97 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.33/1.97 thf(zip_derived_cl3428, plain,
% 9.33/1.97 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3407, zip_derived_cl193, zip_derived_cl192,
% 9.33/1.97 zip_derived_cl191])).
% 9.33/1.97 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 9.33/1.97 thf(zip_derived_cl70, plain,
% 9.33/1.97 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause71])).
% 9.33/1.97 thf(zip_derived_cl3434, plain,
% 9.33/1.97 ((~ (ssList @ nil) | ((sk1) != (nil)) | ~ (ssItem @ sk5))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl3428, zip_derived_cl70])).
% 9.33/1.97 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.33/1.97 inference('cnf', [status(esa)], [clause8])).
% 9.33/1.97 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl6005, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((X1) = (X0))
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((app @ sk1 @ X1) != (cons @ sk8 @ X0))
% 9.33/1.97 | ~ (ssList @ X0))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl2143, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl6007, plain,
% 9.33/1.97 (![X0 : $i]:
% 9.33/1.97 (~ (ssList @ sk1)
% 9.33/1.97 | ((nil) = (X0))
% 9.33/1.97 | ~ (ssList @ nil)
% 9.33/1.97 | ((sk1) != (cons @ sk8 @ X0))
% 9.33/1.97 | ~ (ssList @ X0))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl6005])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.33/1.97 inference('cnf', [status(esa)], [clause8])).
% 9.33/1.97 thf(zip_derived_cl6017, plain,
% 9.33/1.97 (![X0 : $i]:
% 9.33/1.97 (((nil) = (X0)) | ((sk1) != (cons @ sk8 @ X0)) | ~ (ssList @ X0))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl6007, zip_derived_cl185, zip_derived_cl7])).
% 9.33/1.97 thf(zip_derived_cl6054, plain,
% 9.33/1.97 ((((nil) = (sk1))
% 9.33/1.97 | ((nil) = (tl @ sk1))
% 9.33/1.97 | ((sk1) != (sk1))
% 9.33/1.97 | ~ (ssList @ (tl @ sk1)))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl1587, zip_derived_cl6017])).
% 9.33/1.97 thf(zip_derived_cl6064, plain,
% 9.33/1.97 ((~ (ssList @ (tl @ sk1)) | ((nil) = (tl @ sk1)) | ((nil) = (sk1)))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl6054])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl6065, plain,
% 9.33/1.97 ((~ (ssList @ (tl @ sk1)) | ((nil) = (tl @ sk1)))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl6064, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl6067, plain,
% 9.33/1.97 ((((nil) = (sk1)) | ~ (ssList @ sk1) | ((nil) = (tl @ sk1)))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl6065])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl6071, plain, ((((nil) = (sk1)) | ((nil) = (tl @ sk1)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl6067, zip_derived_cl185])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl6072, plain, (((nil) = (tl @ sk1))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl6071, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl6370, plain,
% 9.33/1.97 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((nil) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl2244, zip_derived_cl6072])).
% 9.33/1.97 thf(clause119, axiom,
% 9.33/1.97 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 9.33/1.97 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 9.33/1.97 thf(zip_derived_cl118, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((app @ X0 @ X1) != (nil))
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((nil) = (X1)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause119])).
% 9.33/1.97 thf(zip_derived_cl6376, plain,
% 9.33/1.97 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((nil) != (nil))
% 9.33/1.97 | ~ (ssList @ sk7)
% 9.33/1.97 | ~ (ssList @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))))
% 9.33/1.97 | ((nil) = (sk7)))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl6370, zip_derived_cl118])).
% 9.33/1.97 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 9.33/1.97 thf(zip_derived_cl6399, plain,
% 9.33/1.97 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((nil) != (nil))
% 9.33/1.97 | ~ (ssList @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))))
% 9.33/1.97 | ((nil) = (sk7)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl6376, zip_derived_cl193])).
% 9.33/1.97 thf(zip_derived_cl6400, plain,
% 9.33/1.97 ((((nil) = (sk7))
% 9.33/1.97 | ~ (ssList @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl6399])).
% 9.33/1.97 thf(zip_derived_cl6892, plain,
% 9.33/1.97 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((nil) = (sk7))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl6400])).
% 9.33/1.97 thf(zip_derived_cl6895, plain,
% 9.33/1.97 ((((nil) = (sk7))
% 9.33/1.97 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl6892])).
% 9.33/1.97 thf(zip_derived_cl6898, plain,
% 9.33/1.97 ((~ (ssList @ sk6)
% 9.33/1.97 | ~ (ssList @ (cons @ sk5 @ nil))
% 9.33/1.97 | ((nil) = (sk7))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6895])).
% 9.33/1.97 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.33/1.97 thf(zip_derived_cl6900, plain,
% 9.33/1.97 ((~ (ssList @ (cons @ sk5 @ nil))
% 9.33/1.97 | ((nil) = (sk7))
% 9.33/1.97 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl6898, zip_derived_cl192])).
% 9.33/1.97 thf(zip_derived_cl1587, plain,
% 9.33/1.97 ((((cons @ sk8 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl1586])).
% 9.33/1.97 thf(zip_derived_cl6072, plain, (((nil) = (tl @ sk1))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl6071, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl6077, plain,
% 9.33/1.97 ((((cons @ sk8 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl1587, zip_derived_cl6072])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl6078, plain, (((cons @ sk8 @ nil) = (sk1))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl6077, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl3428, plain,
% 9.33/1.97 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3407, zip_derived_cl193, zip_derived_cl192,
% 9.33/1.97 zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl1380, plain,
% 9.33/1.97 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl201, zip_derived_cl190, zip_derived_cl190])).
% 9.33/1.97 thf(clause161, axiom,
% 9.33/1.97 (( ~( memberP @ ( cons @ U @ V ) @ W ) ) | ( ~( ssList @ V ) ) |
% 9.33/1.97 ( ~( ssItem @ U ) ) | ( ~( ssItem @ W ) ) | ( memberP @ V @ W ) |
% 9.33/1.97 ( ( W ) = ( U ) ))).
% 9.33/1.97 thf(zip_derived_cl160, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 (~ (memberP @ (cons @ X0 @ X1) @ X2)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssItem @ X0)
% 9.33/1.97 | ~ (ssItem @ X2)
% 9.33/1.97 | (memberP @ X1 @ X2)
% 9.33/1.97 | ((X2) = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause161])).
% 9.33/1.97 thf(zip_derived_cl2820, plain,
% 9.33/1.97 (![X0 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | ~ (memberP @ sk1 @ X0)
% 9.33/1.97 | ~ (ssList @ nil)
% 9.33/1.97 | ~ (ssItem @ sk8)
% 9.33/1.97 | ~ (ssItem @ X0)
% 9.33/1.97 | (memberP @ nil @ X0)
% 9.33/1.97 | ((X0) = (sk8)))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl1380, zip_derived_cl160])).
% 9.33/1.97 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.33/1.97 inference('cnf', [status(esa)], [clause8])).
% 9.33/1.97 thf(zip_derived_cl2828, plain,
% 9.33/1.97 (![X0 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | ~ (memberP @ sk1 @ X0)
% 9.33/1.97 | ~ (ssItem @ sk8)
% 9.33/1.97 | ~ (ssItem @ X0)
% 9.33/1.97 | (memberP @ nil @ X0)
% 9.33/1.97 | ((X0) = (sk8)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl2820, zip_derived_cl7])).
% 9.33/1.97 thf(zip_derived_cl84, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause85])).
% 9.33/1.97 thf(co1_18, conjecture,
% 9.33/1.97 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk8 ) ))).
% 9.33/1.97 thf(zf_stmt_9, negated_conjecture,
% 9.33/1.97 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk8 )),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_18])).
% 9.33/1.97 thf(zip_derived_cl202, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk8))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.33/1.97 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 9.33/1.97 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 9.33/1.97 thf(zf_stmt_10, negated_conjecture, (( sk2 ) = ( sk4 )),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_5])).
% 9.33/1.97 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_10])).
% 9.33/1.97 thf(zip_derived_cl1386, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk8))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl202, zip_derived_cl190, zip_derived_cl189])).
% 9.33/1.97 thf(zip_derived_cl1384, plain, ((((nil) = (sk1)) | (ssItem @ sk8))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl190])).
% 9.33/1.97 thf(zip_derived_cl1380, plain,
% 9.33/1.97 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl201, zip_derived_cl190, zip_derived_cl190])).
% 9.33/1.97 thf(clause169, axiom,
% 9.33/1.97 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 9.33/1.97 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 9.33/1.97 thf(zip_derived_cl168, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (memberP @ X0 @ X1)
% 9.33/1.97 | ~ (ssItem @ X1)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 9.33/1.97 = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause169])).
% 9.33/1.97 thf(clause72, axiom,
% 9.33/1.97 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 9.33/1.97 thf(zip_derived_cl71, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause72])).
% 9.33/1.97 thf(clause179, axiom,
% 9.33/1.97 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 9.33/1.97 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 9.33/1.97 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 9.33/1.97 thf(zip_derived_cl178, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.33/1.97 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 9.33/1.97 | ~ (ssList @ X4)
% 9.33/1.97 | ~ (ssList @ X3)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssItem @ X2)
% 9.33/1.97 | ~ (duplicatefreeP @ X0)
% 9.33/1.97 | ~ (ssList @ X0))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause179])).
% 9.33/1.97 thf(zip_derived_cl1358, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.33/1.97 ( (ssItem @ X1)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ~ (ssItem @ X3)
% 9.33/1.97 | ~ (ssList @ X5)
% 9.33/1.97 | ~ (ssList @ X4)
% 9.33/1.97 | ~ (ssList @ X2)
% 9.33/1.97 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 9.33/1.97 inference('dp-resolution', [status(thm)],
% 9.33/1.97 [zip_derived_cl71, zip_derived_cl178])).
% 9.33/1.97 thf(zip_derived_cl3507, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 9.33/1.97 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 9.33/1.97 | ~ (ssList @ X2)
% 9.33/1.97 | ~ (ssList @ X4)
% 9.33/1.97 | ~ (ssList @ X5)
% 9.33/1.97 | ~ (ssItem @ X3)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | (ssItem @ X1))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl1358])).
% 9.33/1.97 thf(zip_derived_cl3522, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.33/1.97 (~ (ssList @ X0)
% 9.33/1.97 | ~ (ssItem @ X3)
% 9.33/1.97 | ~ (memberP @ X0 @ X3)
% 9.33/1.97 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 9.33/1.97 | ~ (ssList @ X2)
% 9.33/1.97 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 9.33/1.97 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 9.33/1.97 | ~ (ssItem @ X3)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | (ssItem @ X4))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl168, zip_derived_cl3507])).
% 9.33/1.97 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 9.33/1.97 thf(zip_derived_cl51, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause52])).
% 9.33/1.97 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 9.33/1.97 thf(zip_derived_cl52, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause53])).
% 9.33/1.97 thf(zip_derived_cl3554, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.33/1.97 (~ (ssList @ X0)
% 9.33/1.97 | ~ (ssItem @ X3)
% 9.33/1.97 | ~ (memberP @ X0 @ X3)
% 9.33/1.97 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 9.33/1.97 | ~ (ssList @ X2)
% 9.33/1.97 | ~ (ssItem @ X3)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | (ssItem @ X4))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3522, zip_derived_cl51, zip_derived_cl52])).
% 9.33/1.97 thf(zip_derived_cl3555, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.33/1.97 ( (ssItem @ X4)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssList @ X2)
% 9.33/1.97 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 9.33/1.97 | ~ (memberP @ X0 @ X3)
% 9.33/1.97 | ~ (ssItem @ X3)
% 9.33/1.97 | ~ (ssList @ X0))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl3554])).
% 9.33/1.97 thf(zip_derived_cl3589, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | (ssItem @ X2)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ~ (ssList @ nil)
% 9.33/1.97 | ((app @ X1 @ sk1) != (X0))
% 9.33/1.97 | ~ (memberP @ X1 @ sk8)
% 9.33/1.97 | ~ (ssItem @ sk8)
% 9.33/1.97 | ~ (ssList @ X1))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl1380, zip_derived_cl3555])).
% 9.33/1.97 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.33/1.97 inference('cnf', [status(esa)], [clause8])).
% 9.33/1.97 thf(zip_derived_cl3610, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | (ssItem @ X2)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((app @ X1 @ sk1) != (X0))
% 9.33/1.97 | ~ (memberP @ X1 @ sk8)
% 9.33/1.97 | ~ (ssItem @ sk8)
% 9.33/1.97 | ~ (ssList @ X1))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl3589, zip_derived_cl7])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl3611, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 ( (ssItem @ X2)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((app @ X1 @ sk1) != (X0))
% 9.33/1.97 | ~ (memberP @ X1 @ sk8)
% 9.33/1.97 | ~ (ssItem @ sk8)
% 9.33/1.97 | ~ (ssList @ X1))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl3610, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl4097, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | (ssItem @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((app @ X2 @ sk1) != (X1))
% 9.33/1.97 | ~ (memberP @ X2 @ sk8)
% 9.33/1.97 | ~ (ssList @ X2))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl1384, zip_derived_cl3611])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl4099, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 ( (ssItem @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((app @ X2 @ sk1) != (X1))
% 9.33/1.97 | ~ (memberP @ X2 @ sk8)
% 9.33/1.97 | ~ (ssList @ X2))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl4097, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl4350, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | (ssItem @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((app @ sk2 @ sk1) != (X1))
% 9.33/1.97 | ~ (ssList @ sk2))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl1386, zip_derived_cl4099])).
% 9.33/1.97 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 9.33/1.97 thf(zf_stmt_11, negated_conjecture, (ssList @ sk2),
% 9.33/1.97 inference('cnf.neg', [status(esa)], [co1_2])).
% 9.33/1.97 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.33/1.97 thf(zip_derived_cl4352, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((nil) = (sk1))
% 9.33/1.97 | (ssItem @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((app @ sk2 @ sk1) != (X1)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl4350, zip_derived_cl186])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl4353, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk2 @ sk1) != (X1)))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl4352, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl4433, plain,
% 9.33/1.97 (![X0 : $i]: (~ (ssList @ (app @ sk2 @ sk1)) | (ssItem @ X0))),
% 9.33/1.97 inference('eq_res', [status(thm)], [zip_derived_cl4353])).
% 9.33/1.97 thf(zip_derived_cl5251, plain,
% 9.33/1.97 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4433])).
% 9.33/1.97 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl5253, plain, (![X0 : $i]: (ssItem @ X0)),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl5251, zip_derived_cl186, zip_derived_cl185])).
% 9.33/1.97 thf(zip_derived_cl5253, plain, (![X0 : $i]: (ssItem @ X0)),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl5251, zip_derived_cl186, zip_derived_cl185])).
% 9.33/1.97 thf(zip_derived_cl70, plain,
% 9.33/1.97 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause71])).
% 9.33/1.97 thf(zip_derived_cl5253, plain, (![X0 : $i]: (ssItem @ X0)),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl5251, zip_derived_cl186, zip_derived_cl185])).
% 9.33/1.97 thf(zip_derived_cl5266, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5253])).
% 9.33/1.97 thf(zip_derived_cl8120, plain,
% 9.33/1.97 (![X0 : $i]: (((nil) = (sk1)) | ~ (memberP @ sk1 @ X0) | ((X0) = (sk8)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl2828, zip_derived_cl5253, zip_derived_cl5253,
% 9.33/1.97 zip_derived_cl5266])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl8121, plain,
% 9.33/1.97 (![X0 : $i]: (~ (memberP @ sk1 @ X0) | ((X0) = (sk8)))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl8120, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl8122, plain,
% 9.33/1.97 ((~ (ssList @ sk1) | ((sk1) != (sk1)) | ((sk5) = (sk8)))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl3428, zip_derived_cl8121])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl8124, plain, ((((sk1) != (sk1)) | ((sk5) = (sk8)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl8122, zip_derived_cl185])).
% 9.33/1.97 thf(zip_derived_cl8125, plain, (((sk5) = (sk8))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl8124])).
% 9.33/1.97 thf(zip_derived_cl8148, plain, (((cons @ sk5 @ nil) = (sk1))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl6078, zip_derived_cl8125])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl8148, plain, (((cons @ sk5 @ nil) = (sk1))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl6078, zip_derived_cl8125])).
% 9.33/1.97 thf(zip_derived_cl8286, plain,
% 9.33/1.97 ((((nil) = (sk7)) | ((nil) = (app @ sk6 @ sk1)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl6900, zip_derived_cl8148, zip_derived_cl185,
% 9.33/1.97 zip_derived_cl8148])).
% 9.33/1.97 thf(zip_derived_cl118, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((app @ X0 @ X1) != (nil))
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((nil) = (X1)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause119])).
% 9.33/1.97 thf(zip_derived_cl8375, plain,
% 9.33/1.97 ((((nil) = (sk7))
% 9.33/1.97 | ((nil) != (nil))
% 9.33/1.97 | ~ (ssList @ sk1)
% 9.33/1.97 | ~ (ssList @ sk6)
% 9.33/1.97 | ((nil) = (sk1)))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl8286, zip_derived_cl118])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.33/1.97 thf(zip_derived_cl8396, plain,
% 9.33/1.97 ((((nil) = (sk7)) | ((nil) != (nil)) | ((nil) = (sk1)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl8375, zip_derived_cl185, zip_derived_cl192])).
% 9.33/1.97 thf(zip_derived_cl8397, plain, ((((nil) = (sk1)) | ((nil) = (sk7)))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl8396])).
% 9.33/1.97 thf(zip_derived_cl3439, plain, (((sk1) != (nil))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl3434, zip_derived_cl7, zip_derived_cl191])).
% 9.33/1.97 thf(zip_derived_cl8398, plain, (((nil) = (sk7))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl8397, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl5266, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5253])).
% 9.33/1.97 thf(zip_derived_cl8416, plain, ( (memberP @ sk6 @ sk5)),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl195, zip_derived_cl8398, zip_derived_cl5266])).
% 9.33/1.97 thf(zip_derived_cl2464, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl2462, zip_derived_cl193, zip_derived_cl191])).
% 9.33/1.97 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 9.33/1.97 thf(zip_derived_cl73, plain,
% 9.33/1.97 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause74])).
% 9.33/1.97 thf(clause151, axiom,
% 9.33/1.97 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 9.33/1.97 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 9.33/1.97 thf(zip_derived_cl150, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.33/1.97 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 9.33/1.97 | ~ (ssList @ X2)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ((X2) = (X0)))),
% 9.33/1.97 inference('cnf', [status(esa)], [clause151])).
% 9.33/1.97 thf(zip_derived_cl2390, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssList @ X0)
% 9.33/1.97 | ((X0) != (app @ X1 @ X0))
% 9.33/1.97 | ~ (ssList @ nil)
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((nil) = (X1)))),
% 9.33/1.97 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl150])).
% 9.33/1.97 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 9.33/1.97 inference('cnf', [status(esa)], [clause8])).
% 9.33/1.97 thf(zip_derived_cl2414, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (~ (ssList @ X0)
% 9.33/1.97 | ((X0) != (app @ X1 @ X0))
% 9.33/1.97 | ~ (ssList @ X0)
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((nil) = (X1)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl2390, zip_derived_cl7])).
% 9.33/1.97 thf(zip_derived_cl2415, plain,
% 9.33/1.97 (![X0 : $i, X1 : $i]:
% 9.33/1.97 (((nil) = (X1))
% 9.33/1.97 | ~ (ssList @ X1)
% 9.33/1.97 | ((X0) != (app @ X1 @ X0))
% 9.33/1.97 | ~ (ssList @ X0))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl2414])).
% 9.33/1.97 thf(zip_derived_cl2587, plain,
% 9.33/1.97 ((((nil) = (sk6))
% 9.33/1.97 | ~ (ssList @ sk6)
% 9.33/1.97 | ((cons @ sk5 @ sk7) != (sk1))
% 9.33/1.97 | ~ (ssList @ (cons @ sk5 @ sk7)))),
% 9.33/1.97 inference('s_sup-', [status(thm)],
% 9.33/1.97 [zip_derived_cl2464, zip_derived_cl2415])).
% 9.33/1.97 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.33/1.97 thf(zip_derived_cl2605, plain,
% 9.33/1.97 ((((nil) = (sk6))
% 9.33/1.97 | ((cons @ sk5 @ sk7) != (sk1))
% 9.33/1.97 | ~ (ssList @ (cons @ sk5 @ sk7)))),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl2587, zip_derived_cl192])).
% 9.33/1.97 thf(zip_derived_cl8398, plain, (((nil) = (sk7))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl8397, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl8148, plain, (((cons @ sk5 @ nil) = (sk1))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl6078, zip_derived_cl8125])).
% 9.33/1.97 thf(zip_derived_cl8398, plain, (((nil) = (sk7))),
% 9.33/1.97 inference('simplify_reflect-', [status(thm)],
% 9.33/1.97 [zip_derived_cl8397, zip_derived_cl3439])).
% 9.33/1.97 thf(zip_derived_cl8148, plain, (((cons @ sk5 @ nil) = (sk1))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl6078, zip_derived_cl8125])).
% 9.33/1.97 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 9.33/1.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 9.33/1.97 thf(zip_derived_cl8429, plain, ((((nil) = (sk6)) | ((sk1) != (sk1)))),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl2605, zip_derived_cl8398, zip_derived_cl8148,
% 9.33/1.97 zip_derived_cl8398, zip_derived_cl8148, zip_derived_cl185])).
% 9.33/1.97 thf(zip_derived_cl8430, plain, (((nil) = (sk6))),
% 9.33/1.97 inference('simplify', [status(thm)], [zip_derived_cl8429])).
% 9.33/1.97 thf(zip_derived_cl5266, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 9.33/1.97 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5253])).
% 9.33/1.97 thf(zip_derived_cl8476, plain, ($false),
% 9.33/1.97 inference('demod', [status(thm)],
% 9.33/1.97 [zip_derived_cl8416, zip_derived_cl8430, zip_derived_cl5266])).
% 9.33/1.97
% 9.33/1.97 % SZS output end Refutation
% 9.33/1.97
% 9.33/1.97
% 9.33/1.97 % Terminating...
% 9.94/2.05 % Runner terminated.
% 9.94/2.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------