TSTP Solution File: SWC183-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC183-1 : 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.OWFS8fYdsX true
% Computer : n022.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 21:29:42 EDT 2023
% Result : Unsatisfiable 18.70s 3.37s
% Output : Refutation 18.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC183-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OWFS8fYdsX true
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 18:03:24 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.62 % Total configuration time : 435
% 0.18/0.62 % Estimated wc time : 1092
% 0.18/0.62 % Estimated cpu time (7 cpus) : 156.0
% 1.05/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.05/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.05/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 18.70/3.37 % Solved by fo/fo6_bce.sh.
% 18.70/3.37 % BCE start: 204
% 18.70/3.37 % BCE eliminated: 4
% 18.70/3.37 % PE start: 200
% 18.70/3.37 logic: eq
% 18.70/3.37 % PE eliminated: 6
% 18.70/3.37 % done 999 iterations in 2.602s
% 18.70/3.37 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.70/3.37 % SZS output start Refutation
% 18.70/3.37 thf(nil_type, type, nil: $i).
% 18.70/3.37 thf(cons_type, type, cons: $i > $i > $i).
% 18.70/3.37 thf(sk2_type, type, sk2: $i).
% 18.70/3.37 thf(sk8_type, type, sk8: $i).
% 18.70/3.37 thf(sk6_type, type, sk6: $i).
% 18.70/3.37 thf(sk4_type, type, sk4: $i).
% 18.70/3.37 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 18.70/3.37 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 18.70/3.37 thf(tl_type, type, tl: $i > $i).
% 18.70/3.37 thf(memberP_type, type, memberP: $i > $i > $o).
% 18.70/3.37 thf(hd_type, type, hd: $i > $i).
% 18.70/3.37 thf(ssItem_type, type, ssItem: $i > $o).
% 18.70/3.37 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 18.70/3.37 thf(sk5_type, type, sk5: $i).
% 18.70/3.37 thf(sk3_type, type, sk3: $i).
% 18.70/3.37 thf(app_type, type, app: $i > $i > $i).
% 18.70/3.37 thf(ssList_type, type, ssList: $i > $o).
% 18.70/3.37 thf(sk7_type, type, sk7: $i).
% 18.70/3.37 thf(sk1_type, type, sk1: $i).
% 18.70/3.37 thf(co1_11, conjecture,
% 18.70/3.37 (~( ( memberP @ sk7 @ sk5 ) | ( memberP @ sk6 @ sk5 ) ))).
% 18.70/3.37 thf(zf_stmt_0, negated_conjecture,
% 18.70/3.37 (( memberP @ sk7 @ sk5 ) | ( memberP @ sk6 @ sk5 )),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_11])).
% 18.70/3.37 thf(zip_derived_cl195, plain,
% 18.70/3.37 (( (memberP @ sk7 @ sk5) | (memberP @ sk6 @ sk5))),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_0])).
% 18.70/3.37 thf(clause85, axiom,
% 18.70/3.37 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 18.70/3.37 thf(zip_derived_cl84, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause85])).
% 18.70/3.37 thf(clause75, axiom,
% 18.70/3.37 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 18.70/3.37 thf(zip_derived_cl74, plain,
% 18.70/3.37 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause75])).
% 18.70/3.37 thf(clause86, axiom,
% 18.70/3.37 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 18.70/3.37 thf(zip_derived_cl85, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause86])).
% 18.70/3.37 thf(zip_derived_cl84, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause85])).
% 18.70/3.37 thf(co1_10, conjecture,
% 18.70/3.37 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) != ( sk1 ))).
% 18.70/3.37 thf(zf_stmt_1, negated_conjecture,
% 18.70/3.37 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk1 )),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_10])).
% 18.70/3.37 thf(zip_derived_cl194, plain,
% 18.70/3.37 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 18.70/3.37 thf(clause133, axiom,
% 18.70/3.37 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 18.70/3.37 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 18.70/3.37 thf(zip_derived_cl132, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (~ (ssList @ X0)
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ((nil) = (X1))
% 18.70/3.37 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause133])).
% 18.70/3.37 thf(zip_derived_cl1902, plain,
% 18.70/3.37 ((~ (ssList @ sk7)
% 18.70/3.37 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 18.70/3.37 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl132])).
% 18.70/3.37 thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 18.70/3.37 thf(zf_stmt_2, negated_conjecture, (ssList @ sk7),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_9])).
% 18.70/3.37 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_2])).
% 18.70/3.37 thf(zip_derived_cl1913, plain,
% 18.70/3.37 ((~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl1902, zip_derived_cl193])).
% 18.70/3.37 thf(zip_derived_cl2241, plain,
% 18.70/3.37 ((~ (ssList @ sk6)
% 18.70/3.37 | ~ (ssList @ (cons @ sk5 @ nil))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 18.70/3.37 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1913])).
% 18.70/3.37 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 18.70/3.37 thf(zf_stmt_3, negated_conjecture, (ssList @ sk6),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_8])).
% 18.70/3.37 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.70/3.37 thf(zip_derived_cl2243, plain,
% 18.70/3.37 ((~ (ssList @ (cons @ sk5 @ nil))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl2241, zip_derived_cl192])).
% 18.70/3.37 thf(zip_derived_cl2245, plain,
% 18.70/3.37 ((~ (ssList @ nil)
% 18.70/3.37 | ~ (ssItem @ sk5)
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 18.70/3.37 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2243])).
% 18.70/3.37 thf(clause8, axiom, (ssList @ nil)).
% 18.70/3.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 18.70/3.37 inference('cnf', [status(esa)], [clause8])).
% 18.70/3.37 thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 18.70/3.37 thf(zf_stmt_4, negated_conjecture, (ssItem @ sk5),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_7])).
% 18.70/3.37 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 18.70/3.37 thf(zip_derived_cl2246, plain,
% 18.70/3.37 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((tl @ sk1) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl2245, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.37 thf(zip_derived_cl74, plain,
% 18.70/3.37 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause75])).
% 18.70/3.37 thf(co1_17, conjecture,
% 18.70/3.37 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk8 @ nil ) = ( sk3 ) ) ))).
% 18.70/3.37 thf(zf_stmt_5, negated_conjecture,
% 18.70/3.37 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk8 @ nil ) = ( sk3 ) )),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_17])).
% 18.70/3.37 thf(zip_derived_cl201, plain,
% 18.70/3.37 ((((nil) = (sk3)) | ((cons @ sk8 @ nil) = (sk3)))),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_5])).
% 18.70/3.37 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 18.70/3.37 thf(zf_stmt_6, negated_conjecture, (( sk1 ) = ( sk3 )),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_6])).
% 18.70/3.37 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 18.70/3.37 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 18.70/3.37 thf(zip_derived_cl1380, plain,
% 18.70/3.37 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl201, zip_derived_cl190, zip_derived_cl190])).
% 18.70/3.37 thf(clause97, axiom,
% 18.70/3.37 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 18.70/3.37 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 18.70/3.37 thf(zip_derived_cl96, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause97])).
% 18.70/3.37 thf(zip_derived_cl1546, plain,
% 18.70/3.37 ((((nil) = (sk1))
% 18.70/3.37 | ~ (ssItem @ sk8)
% 18.70/3.37 | ~ (ssList @ nil)
% 18.70/3.37 | ((hd @ sk1) = (sk8)))),
% 18.70/3.37 inference('s_sup+', [status(thm)], [zip_derived_cl1380, zip_derived_cl96])).
% 18.70/3.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 18.70/3.37 inference('cnf', [status(esa)], [clause8])).
% 18.70/3.37 thf(zip_derived_cl1548, plain,
% 18.70/3.37 ((((nil) = (sk1)) | ~ (ssItem @ sk8) | ((hd @ sk1) = (sk8)))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl1546, zip_derived_cl7])).
% 18.70/3.37 thf(co1_13, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk8 ) ))).
% 18.70/3.37 thf(zf_stmt_7, negated_conjecture,
% 18.70/3.37 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk8 )),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_13])).
% 18.70/3.37 thf(zip_derived_cl197, plain, ((((nil) = (sk3)) | (ssItem @ sk8))),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_7])).
% 18.70/3.37 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_6])).
% 18.70/3.37 thf(zip_derived_cl1384, plain, ((((nil) = (sk1)) | (ssItem @ sk8))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl190])).
% 18.70/3.37 thf(zip_derived_cl1581, plain, ((((hd @ sk1) = (sk8)) | ((nil) = (sk1)))),
% 18.70/3.37 inference('clc', [status(thm)], [zip_derived_cl1548, zip_derived_cl1384])).
% 18.70/3.37 thf(clause104, axiom,
% 18.70/3.37 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 18.70/3.37 ( ( nil ) = ( U ) ))).
% 18.70/3.37 thf(zip_derived_cl103, plain,
% 18.70/3.37 (![X0 : $i]:
% 18.70/3.37 (~ (ssList @ X0)
% 18.70/3.37 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 18.70/3.37 | ((nil) = (X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause104])).
% 18.70/3.37 thf(zip_derived_cl1583, plain,
% 18.70/3.37 ((((nil) = (sk1))
% 18.70/3.37 | ~ (ssList @ sk1)
% 18.70/3.37 | ((cons @ sk8 @ (tl @ sk1)) = (sk1))
% 18.70/3.37 | ((nil) = (sk1)))),
% 18.70/3.37 inference('s_sup+', [status(thm)],
% 18.70/3.37 [zip_derived_cl1581, zip_derived_cl103])).
% 18.70/3.37 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 18.70/3.37 thf(zf_stmt_8, negated_conjecture, (ssList @ sk1),
% 18.70/3.37 inference('cnf.neg', [status(esa)], [co1_1])).
% 18.70/3.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.37 thf(zip_derived_cl1586, plain,
% 18.70/3.37 ((((nil) = (sk1)) | ((cons @ sk8 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl1583, zip_derived_cl185])).
% 18.70/3.37 thf(zip_derived_cl1587, plain,
% 18.70/3.37 ((((cons @ sk8 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 18.70/3.37 inference('simplify', [status(thm)], [zip_derived_cl1586])).
% 18.70/3.37 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 18.70/3.37 thf(zip_derived_cl72, plain,
% 18.70/3.37 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause73])).
% 18.70/3.37 thf(zip_derived_cl1380, plain,
% 18.70/3.37 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl201, zip_derived_cl190, zip_derived_cl190])).
% 18.70/3.37 thf(clause120, axiom,
% 18.70/3.37 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 18.70/3.37 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 18.70/3.37 thf(zip_derived_cl119, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (~ (ssItem @ X0)
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause120])).
% 18.70/3.37 thf(zip_derived_cl1694, plain,
% 18.70/3.37 (![X0 : $i]:
% 18.70/3.37 (((nil) = (sk1))
% 18.70/3.37 | ~ (ssItem @ sk8)
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ((app @ sk1 @ X0) = (cons @ sk8 @ X0)))),
% 18.70/3.37 inference('s_sup+', [status(thm)],
% 18.70/3.37 [zip_derived_cl1380, zip_derived_cl119])).
% 18.70/3.37 thf(zip_derived_cl1384, plain, ((((nil) = (sk1)) | (ssItem @ sk8))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl190])).
% 18.70/3.37 thf(zip_derived_cl2116, plain,
% 18.70/3.37 (![X0 : $i]:
% 18.70/3.37 (((app @ sk1 @ X0) = (cons @ sk8 @ X0))
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ((nil) = (sk1)))),
% 18.70/3.37 inference('clc', [status(thm)], [zip_derived_cl1694, zip_derived_cl1384])).
% 18.70/3.37 thf(clause150, axiom,
% 18.70/3.37 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 18.70/3.37 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 18.70/3.37 thf(zip_derived_cl149, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.37 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 18.70/3.37 | ~ (ssList @ X2)
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ((X2) = (X1)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause150])).
% 18.70/3.37 thf(zip_derived_cl2123, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (((nil) = (sk1))
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ((app @ sk1 @ X1) != (cons @ sk8 @ X0))
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ~ (ssList @ sk1)
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ((X1) = (X0)))),
% 18.70/3.37 inference('s_sup-', [status(thm)],
% 18.70/3.37 [zip_derived_cl2116, zip_derived_cl149])).
% 18.70/3.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.37 thf(zip_derived_cl2144, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (((nil) = (sk1))
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ((app @ sk1 @ X1) != (cons @ sk8 @ X0))
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ((X1) = (X0)))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl2123, zip_derived_cl185])).
% 18.70/3.37 thf(zip_derived_cl2145, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (((X1) = (X0))
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ((app @ sk1 @ X1) != (cons @ sk8 @ X0))
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ((nil) = (sk1)))),
% 18.70/3.37 inference('simplify', [status(thm)], [zip_derived_cl2144])).
% 18.70/3.37 thf(zip_derived_cl119, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (~ (ssItem @ X0)
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause120])).
% 18.70/3.37 thf(zip_derived_cl85, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause86])).
% 18.70/3.37 thf(zip_derived_cl194, plain,
% 18.70/3.37 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_1])).
% 18.70/3.37 thf(clause149, axiom,
% 18.70/3.37 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 18.70/3.37 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 18.70/3.37 thf(zip_derived_cl148, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.37 (~ (ssList @ X0)
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ~ (ssList @ X2)
% 18.70/3.37 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause149])).
% 18.70/3.37 thf(zip_derived_cl2329, plain,
% 18.70/3.37 ((~ (ssList @ sk7)
% 18.70/3.37 | ~ (ssList @ (cons @ sk5 @ nil))
% 18.70/3.37 | ~ (ssList @ sk6)
% 18.70/3.37 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 18.70/3.37 inference('s_sup+', [status(thm)], [zip_derived_cl194, zip_derived_cl148])).
% 18.70/3.37 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_2])).
% 18.70/3.37 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.70/3.37 thf(zip_derived_cl2340, plain,
% 18.70/3.37 ((~ (ssList @ (cons @ sk5 @ nil))
% 18.70/3.37 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl2329, zip_derived_cl193, zip_derived_cl192])).
% 18.70/3.37 thf(zip_derived_cl2443, plain,
% 18.70/3.37 ((~ (ssList @ nil)
% 18.70/3.37 | ~ (ssItem @ sk5)
% 18.70/3.37 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 18.70/3.37 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2340])).
% 18.70/3.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 18.70/3.37 inference('cnf', [status(esa)], [clause8])).
% 18.70/3.37 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 18.70/3.37 thf(zip_derived_cl2444, plain,
% 18.70/3.37 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl2443, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.37 thf(zip_derived_cl2464, plain,
% 18.70/3.37 ((~ (ssList @ sk7)
% 18.70/3.37 | ~ (ssItem @ sk5)
% 18.70/3.37 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7))))),
% 18.70/3.37 inference('s_sup+', [status(thm)],
% 18.70/3.37 [zip_derived_cl119, zip_derived_cl2444])).
% 18.70/3.37 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_2])).
% 18.70/3.37 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 18.70/3.37 thf(zip_derived_cl2466, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl2464, zip_derived_cl193, zip_derived_cl191])).
% 18.70/3.37 thf(clause175, axiom,
% 18.70/3.37 (( ( app @ U @ ( cons @ V @ W ) ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 18.70/3.37 ( ~( ssList @ U ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ X ) ) |
% 18.70/3.37 ( memberP @ X @ V ))).
% 18.70/3.37 thf(zip_derived_cl174, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 18.70/3.37 (((app @ X1 @ (cons @ X2 @ X3)) != (X0))
% 18.70/3.37 | ~ (ssList @ X3)
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ~ (ssItem @ X2)
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | (memberP @ X0 @ X2))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause175])).
% 18.70/3.37 thf(zip_derived_cl3409, plain,
% 18.70/3.37 (![X0 : $i]:
% 18.70/3.37 (((sk1) != (X0))
% 18.70/3.37 | ~ (ssList @ sk7)
% 18.70/3.37 | ~ (ssList @ sk6)
% 18.70/3.37 | ~ (ssItem @ sk5)
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | (memberP @ X0 @ sk5))),
% 18.70/3.37 inference('s_sup-', [status(thm)],
% 18.70/3.37 [zip_derived_cl2466, zip_derived_cl174])).
% 18.70/3.37 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_2])).
% 18.70/3.37 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.70/3.37 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 18.70/3.37 thf(zip_derived_cl3430, plain,
% 18.70/3.37 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl3409, zip_derived_cl193, zip_derived_cl192,
% 18.70/3.37 zip_derived_cl191])).
% 18.70/3.37 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 18.70/3.37 thf(zip_derived_cl70, plain,
% 18.70/3.37 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause71])).
% 18.70/3.37 thf(zip_derived_cl3436, plain,
% 18.70/3.37 ((~ (ssList @ nil) | ((sk1) != (nil)) | ~ (ssItem @ sk5))),
% 18.70/3.37 inference('s_sup-', [status(thm)], [zip_derived_cl3430, zip_derived_cl70])).
% 18.70/3.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 18.70/3.37 inference('cnf', [status(esa)], [clause8])).
% 18.70/3.37 thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_4])).
% 18.70/3.37 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.37 thf(zip_derived_cl6007, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (((X1) = (X0))
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ((app @ sk1 @ X1) != (cons @ sk8 @ X0))
% 18.70/3.37 | ~ (ssList @ X0))),
% 18.70/3.37 inference('simplify_reflect-', [status(thm)],
% 18.70/3.37 [zip_derived_cl2145, zip_derived_cl3441])).
% 18.70/3.37 thf(zip_derived_cl6009, plain,
% 18.70/3.37 (![X0 : $i]:
% 18.70/3.37 (~ (ssList @ sk1)
% 18.70/3.37 | ((nil) = (X0))
% 18.70/3.37 | ~ (ssList @ nil)
% 18.70/3.37 | ((sk1) != (cons @ sk8 @ X0))
% 18.70/3.37 | ~ (ssList @ X0))),
% 18.70/3.37 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl6007])).
% 18.70/3.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.37 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 18.70/3.37 inference('cnf', [status(esa)], [clause8])).
% 18.70/3.37 thf(zip_derived_cl6019, plain,
% 18.70/3.37 (![X0 : $i]:
% 18.70/3.37 (((nil) = (X0)) | ((sk1) != (cons @ sk8 @ X0)) | ~ (ssList @ X0))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl6009, zip_derived_cl185, zip_derived_cl7])).
% 18.70/3.37 thf(zip_derived_cl6056, plain,
% 18.70/3.37 ((((nil) = (sk1))
% 18.70/3.37 | ((nil) = (tl @ sk1))
% 18.70/3.37 | ((sk1) != (sk1))
% 18.70/3.37 | ~ (ssList @ (tl @ sk1)))),
% 18.70/3.37 inference('s_sup-', [status(thm)],
% 18.70/3.37 [zip_derived_cl1587, zip_derived_cl6019])).
% 18.70/3.37 thf(zip_derived_cl6066, plain,
% 18.70/3.37 ((~ (ssList @ (tl @ sk1)) | ((nil) = (tl @ sk1)) | ((nil) = (sk1)))),
% 18.70/3.37 inference('simplify', [status(thm)], [zip_derived_cl6056])).
% 18.70/3.37 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.37 thf(zip_derived_cl6067, plain,
% 18.70/3.37 ((~ (ssList @ (tl @ sk1)) | ((nil) = (tl @ sk1)))),
% 18.70/3.37 inference('simplify_reflect-', [status(thm)],
% 18.70/3.37 [zip_derived_cl6066, zip_derived_cl3441])).
% 18.70/3.37 thf(zip_derived_cl6069, plain,
% 18.70/3.37 ((((nil) = (sk1)) | ~ (ssList @ sk1) | ((nil) = (tl @ sk1)))),
% 18.70/3.37 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl6067])).
% 18.70/3.37 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.37 thf(zip_derived_cl6073, plain, ((((nil) = (sk1)) | ((nil) = (tl @ sk1)))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl6069, zip_derived_cl185])).
% 18.70/3.37 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.37 thf(zip_derived_cl6074, plain, (((nil) = (tl @ sk1))),
% 18.70/3.37 inference('simplify_reflect-', [status(thm)],
% 18.70/3.37 [zip_derived_cl6073, zip_derived_cl3441])).
% 18.70/3.37 thf(zip_derived_cl6372, plain,
% 18.70/3.37 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((nil) = (app @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))) @ sk7)))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl2246, zip_derived_cl6074])).
% 18.70/3.37 thf(clause119, axiom,
% 18.70/3.37 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 18.70/3.37 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 18.70/3.37 thf(zip_derived_cl118, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i]:
% 18.70/3.37 (((app @ X0 @ X1) != (nil))
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ~ (ssList @ X0)
% 18.70/3.37 | ((nil) = (X1)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause119])).
% 18.70/3.37 thf(zip_derived_cl6378, plain,
% 18.70/3.37 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((nil) != (nil))
% 18.70/3.37 | ~ (ssList @ sk7)
% 18.70/3.37 | ~ (ssList @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))))
% 18.70/3.37 | ((nil) = (sk7)))),
% 18.70/3.37 inference('s_sup-', [status(thm)],
% 18.70/3.37 [zip_derived_cl6372, zip_derived_cl118])).
% 18.70/3.37 thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_2])).
% 18.70/3.37 thf(zip_derived_cl6401, plain,
% 18.70/3.37 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((nil) != (nil))
% 18.70/3.37 | ~ (ssList @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))))
% 18.70/3.37 | ((nil) = (sk7)))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl6378, zip_derived_cl193])).
% 18.70/3.37 thf(zip_derived_cl6402, plain,
% 18.70/3.37 ((((nil) = (sk7))
% 18.70/3.37 | ~ (ssList @ (tl @ (app @ sk6 @ (cons @ sk5 @ nil))))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 18.70/3.37 inference('simplify', [status(thm)], [zip_derived_cl6401])).
% 18.70/3.37 thf(zip_derived_cl6924, plain,
% 18.70/3.37 ((((nil) = (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((nil) = (sk7))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 18.70/3.37 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl6402])).
% 18.70/3.37 thf(zip_derived_cl6927, plain,
% 18.70/3.37 ((((nil) = (sk7))
% 18.70/3.37 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 18.70/3.37 inference('simplify', [status(thm)], [zip_derived_cl6924])).
% 18.70/3.37 thf(zip_derived_cl6941, plain,
% 18.70/3.37 ((~ (ssList @ sk6)
% 18.70/3.37 | ~ (ssList @ (cons @ sk5 @ nil))
% 18.70/3.37 | ((nil) = (sk7))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 18.70/3.37 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6927])).
% 18.70/3.37 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 18.70/3.37 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.70/3.37 thf(zip_derived_cl6943, plain,
% 18.70/3.37 ((~ (ssList @ (cons @ sk5 @ nil))
% 18.70/3.37 | ((nil) = (sk7))
% 18.70/3.37 | ((nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 18.70/3.37 inference('demod', [status(thm)], [zip_derived_cl6941, zip_derived_cl192])).
% 18.70/3.37 thf(zip_derived_cl1587, plain,
% 18.70/3.37 ((((cons @ sk8 @ (tl @ sk1)) = (sk1)) | ((nil) = (sk1)))),
% 18.70/3.37 inference('simplify', [status(thm)], [zip_derived_cl1586])).
% 18.70/3.37 thf(zip_derived_cl6074, plain, (((nil) = (tl @ sk1))),
% 18.70/3.37 inference('simplify_reflect-', [status(thm)],
% 18.70/3.37 [zip_derived_cl6073, zip_derived_cl3441])).
% 18.70/3.37 thf(zip_derived_cl6079, plain,
% 18.70/3.37 ((((cons @ sk8 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl1587, zip_derived_cl6074])).
% 18.70/3.37 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.37 thf(zip_derived_cl6080, plain, (((cons @ sk8 @ nil) = (sk1))),
% 18.70/3.37 inference('simplify_reflect-', [status(thm)],
% 18.70/3.37 [zip_derived_cl6079, zip_derived_cl3441])).
% 18.70/3.37 thf(zip_derived_cl3430, plain,
% 18.70/3.37 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ sk5))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl3409, zip_derived_cl193, zip_derived_cl192,
% 18.70/3.37 zip_derived_cl191])).
% 18.70/3.37 thf(zip_derived_cl1380, plain,
% 18.70/3.37 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 18.70/3.37 inference('demod', [status(thm)],
% 18.70/3.37 [zip_derived_cl201, zip_derived_cl190, zip_derived_cl190])).
% 18.70/3.37 thf(clause161, axiom,
% 18.70/3.37 (( ~( memberP @ ( cons @ U @ V ) @ W ) ) | ( ~( ssList @ V ) ) |
% 18.70/3.37 ( ~( ssItem @ U ) ) | ( ~( ssItem @ W ) ) | ( memberP @ V @ W ) |
% 18.70/3.37 ( ( W ) = ( U ) ))).
% 18.70/3.37 thf(zip_derived_cl160, plain,
% 18.70/3.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.37 (~ (memberP @ (cons @ X0 @ X1) @ X2)
% 18.70/3.37 | ~ (ssList @ X1)
% 18.70/3.37 | ~ (ssItem @ X0)
% 18.70/3.37 | ~ (ssItem @ X2)
% 18.70/3.37 | (memberP @ X1 @ X2)
% 18.70/3.37 | ((X2) = (X0)))),
% 18.70/3.37 inference('cnf', [status(esa)], [clause161])).
% 18.70/3.37 thf(zip_derived_cl2822, plain,
% 18.70/3.37 (![X0 : $i]:
% 18.70/3.37 (((nil) = (sk1))
% 18.70/3.37 | ~ (memberP @ sk1 @ X0)
% 18.70/3.37 | ~ (ssList @ nil)
% 18.70/3.37 | ~ (ssItem @ sk8)
% 18.70/3.37 | ~ (ssItem @ X0)
% 18.70/3.38 | (memberP @ nil @ X0)
% 18.70/3.38 | ((X0) = (sk8)))),
% 18.70/3.38 inference('s_sup-', [status(thm)],
% 18.70/3.38 [zip_derived_cl1380, zip_derived_cl160])).
% 18.70/3.38 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 18.70/3.38 inference('cnf', [status(esa)], [clause8])).
% 18.70/3.38 thf(zip_derived_cl2830, plain,
% 18.70/3.38 (![X0 : $i]:
% 18.70/3.38 (((nil) = (sk1))
% 18.70/3.38 | ~ (memberP @ sk1 @ X0)
% 18.70/3.38 | ~ (ssItem @ sk8)
% 18.70/3.38 | ~ (ssItem @ X0)
% 18.70/3.38 | (memberP @ nil @ X0)
% 18.70/3.38 | ((X0) = (sk8)))),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl2822, zip_derived_cl7])).
% 18.70/3.38 thf(zip_derived_cl84, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause85])).
% 18.70/3.38 thf(co1_18, conjecture,
% 18.70/3.38 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk8 ) ))).
% 18.70/3.38 thf(zf_stmt_9, negated_conjecture,
% 18.70/3.38 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk8 )),
% 18.70/3.38 inference('cnf.neg', [status(esa)], [co1_18])).
% 18.70/3.38 thf(zip_derived_cl202, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk8))),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_9])).
% 18.70/3.38 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_6])).
% 18.70/3.38 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 18.70/3.38 thf(zf_stmt_10, negated_conjecture, (( sk2 ) = ( sk4 )),
% 18.70/3.38 inference('cnf.neg', [status(esa)], [co1_5])).
% 18.70/3.38 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_10])).
% 18.70/3.38 thf(zip_derived_cl1386, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk8))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl202, zip_derived_cl190, zip_derived_cl189])).
% 18.70/3.38 thf(zip_derived_cl1384, plain, ((((nil) = (sk1)) | (ssItem @ sk8))),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl190])).
% 18.70/3.38 thf(zip_derived_cl1380, plain,
% 18.70/3.38 ((((nil) = (sk1)) | ((cons @ sk8 @ nil) = (sk1)))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl201, zip_derived_cl190, zip_derived_cl190])).
% 18.70/3.38 thf(clause169, axiom,
% 18.70/3.38 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 18.70/3.38 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 18.70/3.38 thf(zip_derived_cl168, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (~ (memberP @ X0 @ X1)
% 18.70/3.38 | ~ (ssItem @ X1)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 18.70/3.38 = (X0)))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause169])).
% 18.70/3.38 thf(clause72, axiom,
% 18.70/3.38 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 18.70/3.38 thf(zip_derived_cl71, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause72])).
% 18.70/3.38 thf(clause179, axiom,
% 18.70/3.38 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 18.70/3.38 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 18.70/3.38 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 18.70/3.38 thf(zip_derived_cl178, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 18.70/3.38 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 18.70/3.38 | ~ (ssList @ X4)
% 18.70/3.38 | ~ (ssList @ X3)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ~ (ssItem @ X2)
% 18.70/3.38 | ~ (duplicatefreeP @ X0)
% 18.70/3.38 | ~ (ssList @ X0))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause179])).
% 18.70/3.38 thf(zip_derived_cl1358, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 18.70/3.38 ( (ssItem @ X1)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ~ (ssItem @ X3)
% 18.70/3.38 | ~ (ssList @ X5)
% 18.70/3.38 | ~ (ssList @ X4)
% 18.70/3.38 | ~ (ssList @ X2)
% 18.70/3.38 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 18.70/3.38 inference('dp-resolution', [status(thm)],
% 18.70/3.38 [zip_derived_cl71, zip_derived_cl178])).
% 18.70/3.38 thf(zip_derived_cl3509, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 18.70/3.38 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 18.70/3.38 | ~ (ssList @ X2)
% 18.70/3.38 | ~ (ssList @ X4)
% 18.70/3.38 | ~ (ssList @ X5)
% 18.70/3.38 | ~ (ssItem @ X3)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | (ssItem @ X1))),
% 18.70/3.38 inference('simplify', [status(thm)], [zip_derived_cl1358])).
% 18.70/3.38 thf(zip_derived_cl3524, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 18.70/3.38 (~ (ssList @ X0)
% 18.70/3.38 | ~ (ssItem @ X3)
% 18.70/3.38 | ~ (memberP @ X0 @ X3)
% 18.70/3.38 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 18.70/3.38 | ~ (ssList @ X2)
% 18.70/3.38 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 18.70/3.38 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 18.70/3.38 | ~ (ssItem @ X3)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | (ssItem @ X4))),
% 18.70/3.38 inference('s_sup-', [status(thm)],
% 18.70/3.38 [zip_derived_cl168, zip_derived_cl3509])).
% 18.70/3.38 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 18.70/3.38 thf(zip_derived_cl51, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause52])).
% 18.70/3.38 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 18.70/3.38 thf(zip_derived_cl52, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause53])).
% 18.70/3.38 thf(zip_derived_cl3556, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 18.70/3.38 (~ (ssList @ X0)
% 18.70/3.38 | ~ (ssItem @ X3)
% 18.70/3.38 | ~ (memberP @ X0 @ X3)
% 18.70/3.38 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 18.70/3.38 | ~ (ssList @ X2)
% 18.70/3.38 | ~ (ssItem @ X3)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | (ssItem @ X4))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl3524, zip_derived_cl51, zip_derived_cl52])).
% 18.70/3.38 thf(zip_derived_cl3557, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 18.70/3.38 ( (ssItem @ X4)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ~ (ssList @ X2)
% 18.70/3.38 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 18.70/3.38 | ~ (memberP @ X0 @ X3)
% 18.70/3.38 | ~ (ssItem @ X3)
% 18.70/3.38 | ~ (ssList @ X0))),
% 18.70/3.38 inference('simplify', [status(thm)], [zip_derived_cl3556])).
% 18.70/3.38 thf(zip_derived_cl3591, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.38 (((nil) = (sk1))
% 18.70/3.38 | (ssItem @ X2)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ~ (ssList @ nil)
% 18.70/3.38 | ((app @ X1 @ sk1) != (X0))
% 18.70/3.38 | ~ (memberP @ X1 @ sk8)
% 18.70/3.38 | ~ (ssItem @ sk8)
% 18.70/3.38 | ~ (ssList @ X1))),
% 18.70/3.38 inference('s_sup-', [status(thm)],
% 18.70/3.38 [zip_derived_cl1380, zip_derived_cl3557])).
% 18.70/3.38 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 18.70/3.38 inference('cnf', [status(esa)], [clause8])).
% 18.70/3.38 thf(zip_derived_cl3612, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.38 (((nil) = (sk1))
% 18.70/3.38 | (ssItem @ X2)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ((app @ X1 @ sk1) != (X0))
% 18.70/3.38 | ~ (memberP @ X1 @ sk8)
% 18.70/3.38 | ~ (ssItem @ sk8)
% 18.70/3.38 | ~ (ssList @ X1))),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl3591, zip_derived_cl7])).
% 18.70/3.38 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.38 thf(zip_derived_cl3613, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.38 ( (ssItem @ X2)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ((app @ X1 @ sk1) != (X0))
% 18.70/3.38 | ~ (memberP @ X1 @ sk8)
% 18.70/3.38 | ~ (ssItem @ sk8)
% 18.70/3.38 | ~ (ssList @ X1))),
% 18.70/3.38 inference('simplify_reflect-', [status(thm)],
% 18.70/3.38 [zip_derived_cl3612, zip_derived_cl3441])).
% 18.70/3.38 thf(zip_derived_cl4099, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.38 (((nil) = (sk1))
% 18.70/3.38 | (ssItem @ X0)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ((app @ X2 @ sk1) != (X1))
% 18.70/3.38 | ~ (memberP @ X2 @ sk8)
% 18.70/3.38 | ~ (ssList @ X2))),
% 18.70/3.38 inference('s_sup-', [status(thm)],
% 18.70/3.38 [zip_derived_cl1384, zip_derived_cl3613])).
% 18.70/3.38 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.38 thf(zip_derived_cl4101, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.38 ( (ssItem @ X0)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ((app @ X2 @ sk1) != (X1))
% 18.70/3.38 | ~ (memberP @ X2 @ sk8)
% 18.70/3.38 | ~ (ssList @ X2))),
% 18.70/3.38 inference('simplify_reflect-', [status(thm)],
% 18.70/3.38 [zip_derived_cl4099, zip_derived_cl3441])).
% 18.70/3.38 thf(zip_derived_cl4352, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (((nil) = (sk1))
% 18.70/3.38 | (ssItem @ X0)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ((app @ sk2 @ sk1) != (X1))
% 18.70/3.38 | ~ (ssList @ sk2))),
% 18.70/3.38 inference('s_sup-', [status(thm)],
% 18.70/3.38 [zip_derived_cl1386, zip_derived_cl4101])).
% 18.70/3.38 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 18.70/3.38 thf(zf_stmt_11, negated_conjecture, (ssList @ sk2),
% 18.70/3.38 inference('cnf.neg', [status(esa)], [co1_2])).
% 18.70/3.38 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_11])).
% 18.70/3.38 thf(zip_derived_cl4354, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (((nil) = (sk1))
% 18.70/3.38 | (ssItem @ X0)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ((app @ sk2 @ sk1) != (X1)))),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl4352, zip_derived_cl186])).
% 18.70/3.38 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.38 thf(zip_derived_cl4355, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk2 @ sk1) != (X1)))),
% 18.70/3.38 inference('simplify_reflect-', [status(thm)],
% 18.70/3.38 [zip_derived_cl4354, zip_derived_cl3441])).
% 18.70/3.38 thf(zip_derived_cl4435, plain,
% 18.70/3.38 (![X0 : $i]: (~ (ssList @ (app @ sk2 @ sk1)) | (ssItem @ X0))),
% 18.70/3.38 inference('eq_res', [status(thm)], [zip_derived_cl4355])).
% 18.70/3.38 thf(zip_derived_cl5253, plain,
% 18.70/3.38 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 18.70/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4435])).
% 18.70/3.38 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_11])).
% 18.70/3.38 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.38 thf(zip_derived_cl5255, plain, (![X0 : $i]: (ssItem @ X0)),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl5253, zip_derived_cl186, zip_derived_cl185])).
% 18.70/3.38 thf(zip_derived_cl5255, plain, (![X0 : $i]: (ssItem @ X0)),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl5253, zip_derived_cl186, zip_derived_cl185])).
% 18.70/3.38 thf(zip_derived_cl70, plain,
% 18.70/3.38 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause71])).
% 18.70/3.38 thf(zip_derived_cl5255, plain, (![X0 : $i]: (ssItem @ X0)),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl5253, zip_derived_cl186, zip_derived_cl185])).
% 18.70/3.38 thf(zip_derived_cl5268, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5255])).
% 18.70/3.38 thf(zip_derived_cl8087, plain,
% 18.70/3.38 (![X0 : $i]: (((nil) = (sk1)) | ~ (memberP @ sk1 @ X0) | ((X0) = (sk8)))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl2830, zip_derived_cl5255, zip_derived_cl5255,
% 18.70/3.38 zip_derived_cl5268])).
% 18.70/3.38 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.38 thf(zip_derived_cl8088, plain,
% 18.70/3.38 (![X0 : $i]: (~ (memberP @ sk1 @ X0) | ((X0) = (sk8)))),
% 18.70/3.38 inference('simplify_reflect-', [status(thm)],
% 18.70/3.38 [zip_derived_cl8087, zip_derived_cl3441])).
% 18.70/3.38 thf(zip_derived_cl8089, plain,
% 18.70/3.38 ((~ (ssList @ sk1) | ((sk1) != (sk1)) | ((sk5) = (sk8)))),
% 18.70/3.38 inference('s_sup-', [status(thm)],
% 18.70/3.38 [zip_derived_cl3430, zip_derived_cl8088])).
% 18.70/3.38 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.38 thf(zip_derived_cl8091, plain, ((((sk1) != (sk1)) | ((sk5) = (sk8)))),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl8089, zip_derived_cl185])).
% 18.70/3.38 thf(zip_derived_cl8092, plain, (((sk5) = (sk8))),
% 18.70/3.38 inference('simplify', [status(thm)], [zip_derived_cl8091])).
% 18.70/3.38 thf(zip_derived_cl8114, plain, (((cons @ sk5 @ nil) = (sk1))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl6080, zip_derived_cl8092])).
% 18.70/3.38 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.38 thf(zip_derived_cl8114, plain, (((cons @ sk5 @ nil) = (sk1))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl6080, zip_derived_cl8092])).
% 18.70/3.38 thf(zip_derived_cl8286, plain,
% 18.70/3.38 ((((nil) = (sk7)) | ((nil) = (app @ sk6 @ sk1)))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl6943, zip_derived_cl8114, zip_derived_cl185,
% 18.70/3.38 zip_derived_cl8114])).
% 18.70/3.38 thf(zip_derived_cl118, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (((app @ X0 @ X1) != (nil))
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ((nil) = (X1)))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause119])).
% 18.70/3.38 thf(zip_derived_cl8371, plain,
% 18.70/3.38 ((((nil) = (sk7))
% 18.70/3.38 | ((nil) != (nil))
% 18.70/3.38 | ~ (ssList @ sk1)
% 18.70/3.38 | ~ (ssList @ sk6)
% 18.70/3.38 | ((nil) = (sk1)))),
% 18.70/3.38 inference('s_sup-', [status(thm)],
% 18.70/3.38 [zip_derived_cl8286, zip_derived_cl118])).
% 18.70/3.38 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.38 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.70/3.38 thf(zip_derived_cl8392, plain,
% 18.70/3.38 ((((nil) = (sk7)) | ((nil) != (nil)) | ((nil) = (sk1)))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl8371, zip_derived_cl185, zip_derived_cl192])).
% 18.70/3.38 thf(zip_derived_cl8393, plain, ((((nil) = (sk1)) | ((nil) = (sk7)))),
% 18.70/3.38 inference('simplify', [status(thm)], [zip_derived_cl8392])).
% 18.70/3.38 thf(zip_derived_cl3441, plain, (((sk1) != (nil))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl3436, zip_derived_cl7, zip_derived_cl191])).
% 18.70/3.38 thf(zip_derived_cl8394, plain, (((nil) = (sk7))),
% 18.70/3.38 inference('simplify_reflect-', [status(thm)],
% 18.70/3.38 [zip_derived_cl8393, zip_derived_cl3441])).
% 18.70/3.38 thf(zip_derived_cl5268, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5255])).
% 18.70/3.38 thf(zip_derived_cl8412, plain, ( (memberP @ sk6 @ sk5)),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl195, zip_derived_cl8394, zip_derived_cl5268])).
% 18.70/3.38 thf(zip_derived_cl2466, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl2464, zip_derived_cl193, zip_derived_cl191])).
% 18.70/3.38 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 18.70/3.38 thf(zip_derived_cl73, plain,
% 18.70/3.38 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause74])).
% 18.70/3.38 thf(clause151, axiom,
% 18.70/3.38 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 18.70/3.38 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 18.70/3.38 thf(zip_derived_cl150, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 18.70/3.38 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 18.70/3.38 | ~ (ssList @ X2)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ((X2) = (X0)))),
% 18.70/3.38 inference('cnf', [status(esa)], [clause151])).
% 18.70/3.38 thf(zip_derived_cl2392, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (~ (ssList @ X0)
% 18.70/3.38 | ((X0) != (app @ X1 @ X0))
% 18.70/3.38 | ~ (ssList @ nil)
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ((nil) = (X1)))),
% 18.70/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl150])).
% 18.70/3.38 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 18.70/3.38 inference('cnf', [status(esa)], [clause8])).
% 18.70/3.38 thf(zip_derived_cl2416, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (~ (ssList @ X0)
% 18.70/3.38 | ((X0) != (app @ X1 @ X0))
% 18.70/3.38 | ~ (ssList @ X0)
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ((nil) = (X1)))),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl2392, zip_derived_cl7])).
% 18.70/3.38 thf(zip_derived_cl2417, plain,
% 18.70/3.38 (![X0 : $i, X1 : $i]:
% 18.70/3.38 (((nil) = (X1))
% 18.70/3.38 | ~ (ssList @ X1)
% 18.70/3.38 | ((X0) != (app @ X1 @ X0))
% 18.70/3.38 | ~ (ssList @ X0))),
% 18.70/3.38 inference('simplify', [status(thm)], [zip_derived_cl2416])).
% 18.70/3.38 thf(zip_derived_cl2589, plain,
% 18.70/3.38 ((((nil) = (sk6))
% 18.70/3.38 | ~ (ssList @ sk6)
% 18.70/3.38 | ((cons @ sk5 @ sk7) != (sk1))
% 18.70/3.38 | ~ (ssList @ (cons @ sk5 @ sk7)))),
% 18.70/3.38 inference('s_sup-', [status(thm)],
% 18.70/3.38 [zip_derived_cl2466, zip_derived_cl2417])).
% 18.70/3.38 thf(zip_derived_cl192, plain, ( (ssList @ sk6)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_3])).
% 18.70/3.38 thf(zip_derived_cl2607, plain,
% 18.70/3.38 ((((nil) = (sk6))
% 18.70/3.38 | ((cons @ sk5 @ sk7) != (sk1))
% 18.70/3.38 | ~ (ssList @ (cons @ sk5 @ sk7)))),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl2589, zip_derived_cl192])).
% 18.70/3.38 thf(zip_derived_cl8394, plain, (((nil) = (sk7))),
% 18.70/3.38 inference('simplify_reflect-', [status(thm)],
% 18.70/3.38 [zip_derived_cl8393, zip_derived_cl3441])).
% 18.70/3.38 thf(zip_derived_cl8114, plain, (((cons @ sk5 @ nil) = (sk1))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl6080, zip_derived_cl8092])).
% 18.70/3.38 thf(zip_derived_cl8394, plain, (((nil) = (sk7))),
% 18.70/3.38 inference('simplify_reflect-', [status(thm)],
% 18.70/3.38 [zip_derived_cl8393, zip_derived_cl3441])).
% 18.70/3.38 thf(zip_derived_cl8114, plain, (((cons @ sk5 @ nil) = (sk1))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl6080, zip_derived_cl8092])).
% 18.70/3.38 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 18.70/3.38 inference('cnf', [status(esa)], [zf_stmt_8])).
% 18.70/3.38 thf(zip_derived_cl8425, plain, ((((nil) = (sk6)) | ((sk1) != (sk1)))),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl2607, zip_derived_cl8394, zip_derived_cl8114,
% 18.70/3.38 zip_derived_cl8394, zip_derived_cl8114, zip_derived_cl185])).
% 18.70/3.38 thf(zip_derived_cl8426, plain, (((nil) = (sk6))),
% 18.70/3.38 inference('simplify', [status(thm)], [zip_derived_cl8425])).
% 18.70/3.38 thf(zip_derived_cl5268, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 18.70/3.38 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5255])).
% 18.70/3.38 thf(zip_derived_cl8472, plain, ($false),
% 18.70/3.38 inference('demod', [status(thm)],
% 18.70/3.38 [zip_derived_cl8412, zip_derived_cl8426, zip_derived_cl5268])).
% 18.70/3.38
% 18.70/3.38 % SZS output end Refutation
% 18.70/3.38
% 18.70/3.38
% 18.70/3.38 % Terminating...
% 20.02/3.48 % Runner terminated.
% 20.02/3.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------