TSTP Solution File: SWC390-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC390-1 : 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.qNobo4Xgzl true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:31:15 EDT 2023
% Result : Unsatisfiable 49.22s 7.62s
% Output : Refutation 49.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SWC390-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qNobo4Xgzl true
% 0.14/0.35 % Computer : n029.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 15:24:56 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
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 49.22/7.62 % Solved by fo/fo6_bce.sh.
% 49.22/7.62 % BCE start: 197
% 49.22/7.62 % BCE eliminated: 0
% 49.22/7.62 % PE start: 197
% 49.22/7.62 logic: eq
% 49.22/7.62 % PE eliminated: 3
% 49.22/7.62 % done 3138 iterations in 6.875s
% 49.22/7.62 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 49.22/7.62 % SZS output start Refutation
% 49.22/7.62 thf(nil_type, type, nil: $i).
% 49.22/7.62 thf(cons_type, type, cons: $i > $i > $i).
% 49.22/7.62 thf(sk2_type, type, sk2: $i).
% 49.22/7.62 thf(sk4_type, type, sk4: $i).
% 49.22/7.62 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 49.22/7.62 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 49.22/7.62 thf(tl_type, type, tl: $i > $i).
% 49.22/7.62 thf(memberP_type, type, memberP: $i > $i > $o).
% 49.22/7.62 thf(hd_type, type, hd: $i > $i).
% 49.22/7.62 thf(ssItem_type, type, ssItem: $i > $o).
% 49.22/7.62 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 49.22/7.62 thf(sk5_type, type, sk5: $i).
% 49.22/7.62 thf(sk3_type, type, sk3: $i).
% 49.22/7.62 thf(neq_type, type, neq: $i > $i > $o).
% 49.22/7.62 thf(app_type, type, app: $i > $i > $i).
% 49.22/7.62 thf(ssList_type, type, ssList: $i > $o).
% 49.22/7.62 thf(sk1_type, type, sk1: $i).
% 49.22/7.62 thf(singletonP_type, type, singletonP: $i > $o).
% 49.22/7.62 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 49.22/7.62 thf(co1_7, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 49.22/7.62 thf(zf_stmt_0, negated_conjecture,
% 49.22/7.62 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_7])).
% 49.22/7.62 thf(zip_derived_cl191, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_0])).
% 49.22/7.62 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 49.22/7.62 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_5])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 49.22/7.62 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_6])).
% 49.22/7.62 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_2])).
% 49.22/7.62 thf(zip_derived_cl1408, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 49.22/7.62 thf(clause145, axiom,
% 49.22/7.62 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 49.22/7.62 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 49.22/7.62 thf(zip_derived_cl144, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (((nil) != (X0))
% 49.22/7.62 | ((nil) != (X1))
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((app @ X0 @ X1) = (nil)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause145])).
% 49.22/7.62 thf(clause100, axiom,
% 49.22/7.62 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 49.22/7.62 ( ( V ) = ( U ) ))).
% 49.22/7.62 thf(zip_derived_cl99, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause100])).
% 49.22/7.62 thf(co1_9, conjecture,
% 49.22/7.62 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 49.22/7.62 thf(zf_stmt_3, negated_conjecture,
% 49.22/7.62 (( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_9])).
% 49.22/7.62 thf(zip_derived_cl193, plain,
% 49.22/7.62 ((~ (neq @ sk4 @ nil) | ((cons @ sk5 @ nil) = (sk3)))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_3])).
% 49.22/7.62 thf(zip_derived_cl1390, plain,
% 49.22/7.62 ((((sk4) = (nil))
% 49.22/7.62 | ~ (ssList @ sk4)
% 49.22/7.62 | ~ (ssList @ nil)
% 49.22/7.62 | ((cons @ sk5 @ nil) = (sk3)))),
% 49.22/7.62 inference('dp-resolution', [status(thm)],
% 49.22/7.62 [zip_derived_cl99, zip_derived_cl193])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 49.22/7.62 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_2])).
% 49.22/7.62 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.22/7.62 thf(clause8, axiom, (ssList @ nil)).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_2])).
% 49.22/7.62 thf(zip_derived_cl1425, plain,
% 49.22/7.62 ((((sk2) = (nil)) | ((cons @ sk5 @ nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl1390, zip_derived_cl189, zip_derived_cl189,
% 49.22/7.62 zip_derived_cl186, zip_derived_cl7, zip_derived_cl190])).
% 49.22/7.62 thf(clause96, axiom,
% 49.22/7.62 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 49.22/7.62 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 49.22/7.62 thf(zip_derived_cl95, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause96])).
% 49.22/7.62 thf(zip_derived_cl1542, plain,
% 49.22/7.62 ((((sk2) = (nil))
% 49.22/7.62 | ~ (ssItem @ sk5)
% 49.22/7.62 | ~ (ssList @ nil)
% 49.22/7.62 | ((tl @ sk1) = (nil)))),
% 49.22/7.62 inference('s_sup+', [status(thm)], [zip_derived_cl1425, zip_derived_cl95])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl1545, plain,
% 49.22/7.62 ((((sk2) = (nil)) | ~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl1542, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl99, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause100])).
% 49.22/7.62 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 49.22/7.62 thf(zf_stmt_5, negated_conjecture,
% 49.22/7.62 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_8])).
% 49.22/7.62 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_5])).
% 49.22/7.62 thf(zip_derived_cl1389, plain,
% 49.22/7.62 ((((sk4) = (nil)) | ~ (ssList @ sk4) | ~ (ssList @ nil) | (ssItem @ sk5))),
% 49.22/7.62 inference('dp-resolution', [status(thm)],
% 49.22/7.62 [zip_derived_cl99, zip_derived_cl192])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl1431, plain, ((((sk2) = (nil)) | (ssItem @ sk5))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl1389, zip_derived_cl189, zip_derived_cl189,
% 49.22/7.62 zip_derived_cl186, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl1546, plain, ((((tl @ sk1) = (nil)) | ((sk2) = (nil)))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl1545, zip_derived_cl1431])).
% 49.22/7.62 thf(clause104, axiom,
% 49.22/7.62 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 49.22/7.62 ( ( nil ) = ( U ) ))).
% 49.22/7.62 thf(zip_derived_cl103, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 49.22/7.62 | ((nil) = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause104])).
% 49.22/7.62 thf(zip_derived_cl1588, plain,
% 49.22/7.62 ((((sk2) = (nil))
% 49.22/7.62 | ~ (ssList @ sk1)
% 49.22/7.62 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 49.22/7.62 | ((nil) = (sk1)))),
% 49.22/7.62 inference('s_sup+', [status(thm)],
% 49.22/7.62 [zip_derived_cl1546, zip_derived_cl103])).
% 49.22/7.62 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 49.22/7.62 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_1])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl1590, plain,
% 49.22/7.62 ((((sk2) = (nil)) | ((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl1588, zip_derived_cl185])).
% 49.22/7.62 thf(zip_derived_cl1408, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 49.22/7.62 thf(zip_derived_cl1609, plain,
% 49.22/7.62 ((((nil) = (sk1)) | ((cons @ (hd @ sk1) @ nil) = (sk1)))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl1590, zip_derived_cl1408])).
% 49.22/7.62 thf(clause157, axiom,
% 49.22/7.62 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 49.22/7.62 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 49.22/7.62 thf(zip_derived_cl156, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 (~ (ssItem @ X0)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause157])).
% 49.22/7.62 thf(zip_derived_cl2507, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (((nil) = (sk1))
% 49.22/7.62 | ~ (ssItem @ (hd @ sk1))
% 49.22/7.62 | ~ (ssList @ nil)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((cons @ (hd @ sk1) @ (app @ nil @ X0)) = (app @ sk1 @ X0)))),
% 49.22/7.62 inference('s_sup+', [status(thm)],
% 49.22/7.62 [zip_derived_cl1609, zip_derived_cl156])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl2517, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (((nil) = (sk1))
% 49.22/7.62 | ~ (ssItem @ (hd @ sk1))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((cons @ (hd @ sk1) @ (app @ nil @ X0)) = (app @ sk1 @ X0)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl2507, zip_derived_cl7])).
% 49.22/7.62 thf(clause79, axiom,
% 49.22/7.62 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( segmentP @ nil @ U ))).
% 49.22/7.62 thf(zip_derived_cl78, plain,
% 49.22/7.62 (![X0 : $i]: (((nil) != (X0)) | ~ (ssList @ X0) | (segmentP @ nil @ X0))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause79])).
% 49.22/7.62 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 49.22/7.62 thf(zip_derived_cl55, plain,
% 49.22/7.62 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause56])).
% 49.22/7.62 thf(clause152, axiom,
% 49.22/7.62 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 49.22/7.62 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 49.22/7.62 ( segmentP @ U @ W ))).
% 49.22/7.62 thf(zip_derived_cl151, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 (~ (segmentP @ X0 @ X1)
% 49.22/7.62 | ~ (segmentP @ X1 @ X2)
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | (segmentP @ X0 @ X2))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause152])).
% 49.22/7.62 thf(zip_derived_cl2212, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ~ (segmentP @ nil @ X1)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ nil)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | (segmentP @ X0 @ X1))),
% 49.22/7.62 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl151])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl2219, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ~ (segmentP @ nil @ X1)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | (segmentP @ X0 @ X1))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl2212, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl2220, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 ( (segmentP @ X0 @ X1)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (segmentP @ nil @ X1)
% 49.22/7.62 | ~ (ssList @ X0))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl2219])).
% 49.22/7.62 thf(zip_derived_cl2225, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ((nil) != (X0))
% 49.22/7.62 | (segmentP @ X1 @ X0)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (ssList @ X1))),
% 49.22/7.62 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl2220])).
% 49.22/7.62 thf(zip_derived_cl2229, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X1)
% 49.22/7.62 | (segmentP @ X1 @ X0)
% 49.22/7.62 | ((nil) != (X0))
% 49.22/7.62 | ~ (ssList @ X0))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl2225])).
% 49.22/7.62 thf(co1_11, conjecture,
% 49.22/7.62 (~( ( neq @ sk2 @ nil ) | ( ~( segmentP @ sk2 @ sk1 ) ) ))).
% 49.22/7.62 thf(zf_stmt_7, negated_conjecture,
% 49.22/7.62 (( neq @ sk2 @ nil ) | ( ~( segmentP @ sk2 @ sk1 ) )),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_11])).
% 49.22/7.62 thf(zip_derived_cl195, plain,
% 49.22/7.62 (( (neq @ sk2 @ nil) | ~ (segmentP @ sk2 @ sk1))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_7])).
% 49.22/7.62 thf(zip_derived_cl193, plain,
% 49.22/7.62 ((~ (neq @ sk4 @ nil) | ((cons @ sk5 @ nil) = (sk3)))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_3])).
% 49.22/7.62 thf(zip_derived_cl1404, plain,
% 49.22/7.62 ((((sk2) != (sk4))
% 49.22/7.62 | ((nil) != (nil))
% 49.22/7.62 | ~ (segmentP @ sk2 @ sk1)
% 49.22/7.62 | ((cons @ sk5 @ nil) = (sk3)))),
% 49.22/7.62 inference('dp-resolution', [status(thm)],
% 49.22/7.62 [zip_derived_cl195, zip_derived_cl193])).
% 49.22/7.62 thf(zip_derived_cl1409, plain,
% 49.22/7.62 ((((cons @ sk5 @ nil) = (sk3))
% 49.22/7.62 | ~ (segmentP @ sk2 @ sk1)
% 49.22/7.62 | ((sk2) != (sk4)))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl1404])).
% 49.22/7.62 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_2])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(zip_derived_cl1410, plain,
% 49.22/7.62 ((((cons @ sk5 @ nil) = (sk1))
% 49.22/7.62 | ~ (segmentP @ sk2 @ sk1)
% 49.22/7.62 | ((sk2) != (sk2)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl1409, zip_derived_cl190, zip_derived_cl189])).
% 49.22/7.62 thf(zip_derived_cl1411, plain,
% 49.22/7.62 ((~ (segmentP @ sk2 @ sk1) | ((cons @ sk5 @ nil) = (sk1)))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl1410])).
% 49.22/7.62 thf(zip_derived_cl2389, plain,
% 49.22/7.62 ((~ (ssList @ sk1)
% 49.22/7.62 | ((nil) != (sk1))
% 49.22/7.62 | ~ (ssList @ sk2)
% 49.22/7.62 | ((cons @ sk5 @ nil) = (sk1)))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl2229, zip_derived_cl1411])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.22/7.62 thf(zip_derived_cl2399, plain,
% 49.22/7.62 ((((nil) != (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2389, zip_derived_cl185, zip_derived_cl186])).
% 49.22/7.62 thf(zip_derived_cl1425, plain,
% 49.22/7.62 ((((sk2) = (nil)) | ((cons @ sk5 @ nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl1390, zip_derived_cl189, zip_derived_cl189,
% 49.22/7.62 zip_derived_cl186, zip_derived_cl7, zip_derived_cl190])).
% 49.22/7.62 thf(clause97, axiom,
% 49.22/7.62 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 49.22/7.62 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 49.22/7.62 thf(zip_derived_cl96, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause97])).
% 49.22/7.62 thf(zip_derived_cl1572, plain,
% 49.22/7.62 ((((sk2) = (nil))
% 49.22/7.62 | ~ (ssItem @ sk5)
% 49.22/7.62 | ~ (ssList @ nil)
% 49.22/7.62 | ((hd @ sk1) = (sk5)))),
% 49.22/7.62 inference('s_sup+', [status(thm)], [zip_derived_cl1425, zip_derived_cl96])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl1576, plain,
% 49.22/7.62 ((((sk2) = (nil)) | ~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl1572, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl1431, plain, ((((sk2) = (nil)) | (ssItem @ sk5))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl1389, zip_derived_cl189, zip_derived_cl189,
% 49.22/7.62 zip_derived_cl186, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl1591, plain, ((((hd @ sk1) = (sk5)) | ((sk2) = (nil)))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl1576, zip_derived_cl1431])).
% 49.22/7.62 thf(zip_derived_cl1609, plain,
% 49.22/7.62 ((((nil) = (sk1)) | ((cons @ (hd @ sk1) @ nil) = (sk1)))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl1590, zip_derived_cl1408])).
% 49.22/7.62 thf(zip_derived_cl1620, plain,
% 49.22/7.62 ((((sk2) = (nil)) | ((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 49.22/7.62 inference('s_sup+', [status(thm)],
% 49.22/7.62 [zip_derived_cl1591, zip_derived_cl1609])).
% 49.22/7.62 thf(zip_derived_cl1408, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 49.22/7.62 thf(zip_derived_cl1627, plain,
% 49.22/7.62 ((((cons @ sk5 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl1620, zip_derived_cl1408])).
% 49.22/7.62 thf(zip_derived_cl2418, plain, (((cons @ sk5 @ nil) = (sk1))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2399, zip_derived_cl1627])).
% 49.22/7.62 thf(clause98, axiom,
% 49.22/7.62 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 49.22/7.62 ( ~( ssList @ V ) ))).
% 49.22/7.62 thf(zip_derived_cl97, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause98])).
% 49.22/7.62 thf(zip_derived_cl2422, plain,
% 49.22/7.62 ((((sk1) != (nil)) | ~ (ssItem @ sk5) | ~ (ssList @ nil))),
% 49.22/7.62 inference('s_sup-', [status(thm)], [zip_derived_cl2418, zip_derived_cl97])).
% 49.22/7.62 thf(zip_derived_cl2229, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X1)
% 49.22/7.62 | (segmentP @ X1 @ X0)
% 49.22/7.62 | ((nil) != (X0))
% 49.22/7.62 | ~ (ssList @ X0))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl2225])).
% 49.22/7.62 thf(zip_derived_cl195, plain,
% 49.22/7.62 (( (neq @ sk2 @ nil) | ~ (segmentP @ sk2 @ sk1))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_7])).
% 49.22/7.62 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_5])).
% 49.22/7.62 thf(zip_derived_cl1401, plain,
% 49.22/7.62 ((((sk2) != (sk4))
% 49.22/7.62 | ((nil) != (nil))
% 49.22/7.62 | ~ (segmentP @ sk2 @ sk1)
% 49.22/7.62 | (ssItem @ sk5))),
% 49.22/7.62 inference('dp-resolution', [status(thm)],
% 49.22/7.62 [zip_derived_cl195, zip_derived_cl192])).
% 49.22/7.62 thf(zip_derived_cl1416, plain,
% 49.22/7.62 (( (ssItem @ sk5) | ~ (segmentP @ sk2 @ sk1) | ((sk2) != (sk4)))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl1401])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(zip_derived_cl1417, plain,
% 49.22/7.62 (( (ssItem @ sk5) | ~ (segmentP @ sk2 @ sk1) | ((sk2) != (sk2)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl1416, zip_derived_cl189])).
% 49.22/7.62 thf(zip_derived_cl1418, plain,
% 49.22/7.62 ((~ (segmentP @ sk2 @ sk1) | (ssItem @ sk5))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl1417])).
% 49.22/7.62 thf(zip_derived_cl2390, plain,
% 49.22/7.62 ((~ (ssList @ sk1)
% 49.22/7.62 | ((nil) != (sk1))
% 49.22/7.62 | ~ (ssList @ sk2)
% 49.22/7.62 | (ssItem @ sk5))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl2229, zip_derived_cl1418])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.22/7.62 thf(zip_derived_cl2400, plain, ((((nil) != (sk1)) | (ssItem @ sk5))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2390, zip_derived_cl185, zip_derived_cl186])).
% 49.22/7.62 thf(zip_derived_cl1591, plain, ((((hd @ sk1) = (sk5)) | ((sk2) = (nil)))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl1576, zip_derived_cl1431])).
% 49.22/7.62 thf(clause76, axiom,
% 49.22/7.62 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 49.22/7.62 thf(zip_derived_cl75, plain,
% 49.22/7.62 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause76])).
% 49.22/7.62 thf(zip_derived_cl1592, plain,
% 49.22/7.62 ((((sk2) = (nil)) | ~ (ssList @ sk1) | (ssItem @ sk5) | ((nil) = (sk1)))),
% 49.22/7.62 inference('s_sup+', [status(thm)], [zip_derived_cl1591, zip_derived_cl75])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl1594, plain,
% 49.22/7.62 ((((sk2) = (nil)) | (ssItem @ sk5) | ((nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl1592, zip_derived_cl185])).
% 49.22/7.62 thf(zip_derived_cl1408, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 49.22/7.62 thf(zip_derived_cl1596, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl1594, zip_derived_cl1408])).
% 49.22/7.62 thf(zip_derived_cl2403, plain, ( (ssItem @ sk5)),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2400, zip_derived_cl1596])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl2439, plain, (((sk1) != (nil))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2422, zip_derived_cl2403, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl2518, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssItem @ (hd @ sk1))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((cons @ (hd @ sk1) @ (app @ nil @ X0)) = (app @ sk1 @ X0)))),
% 49.22/7.62 inference('simplify_reflect-', [status(thm)],
% 49.22/7.62 [zip_derived_cl2517, zip_derived_cl2439])).
% 49.22/7.62 thf(zip_derived_cl2418, plain, (((cons @ sk5 @ nil) = (sk1))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2399, zip_derived_cl1627])).
% 49.22/7.62 thf(zip_derived_cl96, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause97])).
% 49.22/7.62 thf(zip_derived_cl2421, plain,
% 49.22/7.62 ((~ (ssItem @ sk5) | ~ (ssList @ nil) | ((hd @ sk1) = (sk5)))),
% 49.22/7.62 inference('s_sup+', [status(thm)], [zip_derived_cl2418, zip_derived_cl96])).
% 49.22/7.62 thf(zip_derived_cl2403, plain, ( (ssItem @ sk5)),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2400, zip_derived_cl1596])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl2438, plain, (((hd @ sk1) = (sk5))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2421, zip_derived_cl2403, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl2403, plain, ( (ssItem @ sk5)),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2400, zip_derived_cl1596])).
% 49.22/7.62 thf(zip_derived_cl2438, plain, (((hd @ sk1) = (sk5))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2421, zip_derived_cl2403, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl3004, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ((cons @ sk5 @ (app @ nil @ X0)) = (app @ sk1 @ X0)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2518, zip_derived_cl2438, zip_derived_cl2403,
% 49.22/7.62 zip_derived_cl2438])).
% 49.22/7.62 thf(zip_derived_cl3025, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssList @ nil)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((nil) != (X0))
% 49.22/7.62 | ((nil) != (nil))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((cons @ sk5 @ nil) = (app @ sk1 @ X0)))),
% 49.22/7.62 inference('s_sup+', [status(thm)],
% 49.22/7.62 [zip_derived_cl144, zip_derived_cl3004])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl2418, plain, (((cons @ sk5 @ nil) = (sk1))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2399, zip_derived_cl1627])).
% 49.22/7.62 thf(zip_derived_cl3029, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ((nil) != (X0))
% 49.22/7.62 | ((nil) != (nil))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((sk1) = (app @ sk1 @ X0)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl3025, zip_derived_cl7, zip_derived_cl2418])).
% 49.22/7.62 thf(zip_derived_cl3030, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (((sk1) = (app @ sk1 @ X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl3029])).
% 49.22/7.62 thf(zip_derived_cl2418, plain, (((cons @ sk5 @ nil) = (sk1))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2399, zip_derived_cl1627])).
% 49.22/7.62 thf(clause120, axiom,
% 49.22/7.62 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 49.22/7.62 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 49.22/7.62 thf(zip_derived_cl119, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssItem @ X0)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause120])).
% 49.22/7.62 thf(zip_derived_cl2432, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssItem @ sk5)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 49.22/7.62 inference('s_sup+', [status(thm)],
% 49.22/7.62 [zip_derived_cl2418, zip_derived_cl119])).
% 49.22/7.62 thf(zip_derived_cl2403, plain, ( (ssItem @ sk5)),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2400, zip_derived_cl1596])).
% 49.22/7.62 thf(zip_derived_cl2451, plain,
% 49.22/7.62 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2432, zip_derived_cl2403])).
% 49.22/7.62 thf(zip_derived_cl4600, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ((nil) != (X0))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((sk1) = (cons @ sk5 @ X0)))),
% 49.22/7.62 inference('s_sup+', [status(thm)],
% 49.22/7.62 [zip_derived_cl3030, zip_derived_cl2451])).
% 49.22/7.62 thf(zip_derived_cl4602, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (((sk1) = (cons @ sk5 @ X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl4600])).
% 49.22/7.62 thf(zip_derived_cl99, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause100])).
% 49.22/7.62 thf(co1_10, conjecture,
% 49.22/7.62 (~( ( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 49.22/7.62 thf(zf_stmt_8, negated_conjecture,
% 49.22/7.62 (( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk4 @ sk5 )),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_10])).
% 49.22/7.62 thf(zip_derived_cl194, plain,
% 49.22/7.62 ((~ (neq @ sk4 @ nil) | (memberP @ sk4 @ sk5))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_8])).
% 49.22/7.62 thf(zip_derived_cl1391, plain,
% 49.22/7.62 ((((sk4) = (nil))
% 49.22/7.62 | ~ (ssList @ sk4)
% 49.22/7.62 | ~ (ssList @ nil)
% 49.22/7.62 | (memberP @ sk4 @ sk5))),
% 49.22/7.62 inference('dp-resolution', [status(thm)],
% 49.22/7.62 [zip_derived_cl99, zip_derived_cl194])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 49.22/7.62 thf(zip_derived_cl1435, plain, ((((sk2) = (nil)) | (memberP @ sk2 @ sk5))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl1391, zip_derived_cl189, zip_derived_cl189,
% 49.22/7.62 zip_derived_cl186, zip_derived_cl7, zip_derived_cl189])).
% 49.22/7.62 thf(clause169, axiom,
% 49.22/7.62 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 49.22/7.62 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 49.22/7.62 thf(zip_derived_cl168, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (memberP @ X0 @ X1)
% 49.22/7.62 | ~ (ssItem @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 49.22/7.62 = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause169])).
% 49.22/7.62 thf(clause85, axiom,
% 49.22/7.62 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 49.22/7.62 thf(zip_derived_cl84, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause85])).
% 49.22/7.62 thf(zip_derived_cl2418, plain, (((cons @ sk5 @ nil) = (sk1))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2399, zip_derived_cl1627])).
% 49.22/7.62 thf(clause138, axiom,
% 49.22/7.62 (( ( U ) != ( V ) ) | ( ~( ssList @ W ) ) | ( ~( ssItem @ V ) ) |
% 49.22/7.62 ( ~( ssItem @ U ) ) | ( memberP @ ( cons @ V @ W ) @ U ))).
% 49.22/7.62 thf(zip_derived_cl137, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 (((X1) != (X0))
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ~ (ssItem @ X0)
% 49.22/7.62 | ~ (ssItem @ X1)
% 49.22/7.62 | (memberP @ (cons @ X0 @ X2) @ X1))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause138])).
% 49.22/7.62 thf(zip_derived_cl1879, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 ( (memberP @ (cons @ X0 @ X1) @ X0)
% 49.22/7.62 | ~ (ssItem @ X0)
% 49.22/7.62 | ~ (ssItem @ X0)
% 49.22/7.62 | ~ (ssList @ X1))),
% 49.22/7.62 inference('eq_res', [status(thm)], [zip_derived_cl137])).
% 49.22/7.62 thf(zip_derived_cl1880, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X1)
% 49.22/7.62 | ~ (ssItem @ X0)
% 49.22/7.62 | (memberP @ (cons @ X0 @ X1) @ X0))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl1879])).
% 49.22/7.62 thf(zip_derived_cl2425, plain,
% 49.22/7.62 ((~ (ssList @ nil) | ~ (ssItem @ sk5) | (memberP @ sk1 @ sk5))),
% 49.22/7.62 inference('s_sup+', [status(thm)],
% 49.22/7.62 [zip_derived_cl2418, zip_derived_cl1880])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl2403, plain, ( (ssItem @ sk5)),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2400, zip_derived_cl1596])).
% 49.22/7.62 thf(zip_derived_cl2442, plain, ( (memberP @ sk1 @ sk5)),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2425, zip_derived_cl7, zip_derived_cl2403])).
% 49.22/7.62 thf(zip_derived_cl2418, plain, (((cons @ sk5 @ nil) = (sk1))),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2399, zip_derived_cl1627])).
% 49.22/7.62 thf(zip_derived_cl168, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (memberP @ X0 @ X1)
% 49.22/7.62 | ~ (ssItem @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 49.22/7.62 = (X0)))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause169])).
% 49.22/7.62 thf(clause72, axiom,
% 49.22/7.62 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 49.22/7.62 thf(zip_derived_cl71, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause72])).
% 49.22/7.62 thf(clause179, axiom,
% 49.22/7.62 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 49.22/7.62 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 49.22/7.62 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 49.22/7.62 thf(zip_derived_cl178, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.22/7.62 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 49.22/7.62 | ~ (ssList @ X4)
% 49.22/7.62 | ~ (ssList @ X3)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssItem @ X2)
% 49.22/7.62 | ~ (duplicatefreeP @ X0)
% 49.22/7.62 | ~ (ssList @ X0))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause179])).
% 49.22/7.62 thf(zip_derived_cl1366, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.22/7.62 ( (ssItem @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (ssItem @ X3)
% 49.22/7.62 | ~ (ssList @ X5)
% 49.22/7.62 | ~ (ssList @ X4)
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 49.22/7.62 inference('dp-resolution', [status(thm)],
% 49.22/7.62 [zip_derived_cl71, zip_derived_cl178])).
% 49.22/7.62 thf(zip_derived_cl3425, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 49.22/7.62 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ~ (ssList @ X4)
% 49.22/7.62 | ~ (ssList @ X5)
% 49.22/7.62 | ~ (ssItem @ X3)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | (ssItem @ X1))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl1366])).
% 49.22/7.62 thf(zip_derived_cl3437, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ~ (ssItem @ X3)
% 49.22/7.62 | ~ (memberP @ X0 @ X3)
% 49.22/7.62 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 49.22/7.62 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 49.22/7.62 | ~ (ssItem @ X3)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | (ssItem @ X4))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl168, zip_derived_cl3425])).
% 49.22/7.62 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 49.22/7.62 thf(zip_derived_cl51, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause52])).
% 49.22/7.62 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 49.22/7.62 thf(zip_derived_cl52, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause53])).
% 49.22/7.62 thf(zip_derived_cl3459, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ~ (ssItem @ X3)
% 49.22/7.62 | ~ (memberP @ X0 @ X3)
% 49.22/7.62 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ~ (ssItem @ X3)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | (ssItem @ X4))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl3437, zip_derived_cl51, zip_derived_cl52])).
% 49.22/7.62 thf(zip_derived_cl3460, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 49.22/7.62 ( (ssItem @ X4)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 49.22/7.62 | ~ (memberP @ X0 @ X3)
% 49.22/7.62 | ~ (ssItem @ X3)
% 49.22/7.62 | ~ (ssList @ X0))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl3459])).
% 49.22/7.62 thf(zip_derived_cl3791, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 ( (ssItem @ X2)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (ssList @ nil)
% 49.22/7.62 | ((app @ X1 @ sk1) != (X0))
% 49.22/7.62 | ~ (memberP @ X1 @ sk5)
% 49.22/7.62 | ~ (ssItem @ sk5)
% 49.22/7.62 | ~ (ssList @ X1))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl2418, zip_derived_cl3460])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl2403, plain, ( (ssItem @ sk5)),
% 49.22/7.62 inference('clc', [status(thm)], [zip_derived_cl2400, zip_derived_cl1596])).
% 49.22/7.62 thf(zip_derived_cl3805, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 ( (ssItem @ X2)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((app @ X1 @ sk1) != (X0))
% 49.22/7.62 | ~ (memberP @ X1 @ sk5)
% 49.22/7.62 | ~ (ssList @ X1))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl3791, zip_derived_cl7, zip_derived_cl2403])).
% 49.22/7.62 thf(zip_derived_cl3934, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 ( (ssItem @ X0)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ((app @ sk1 @ sk1) != (X1))
% 49.22/7.62 | ~ (ssList @ sk1))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl2442, zip_derived_cl3805])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl3940, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk1 @ sk1) != (X1)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl3934, zip_derived_cl185])).
% 49.22/7.62 thf(zip_derived_cl3959, plain,
% 49.22/7.62 (![X0 : $i]: (~ (ssList @ (app @ sk1 @ sk1)) | (ssItem @ X0))),
% 49.22/7.62 inference('eq_res', [status(thm)], [zip_derived_cl3940])).
% 49.22/7.62 thf(zip_derived_cl4020, plain,
% 49.22/7.62 (![X0 : $i]: (~ (ssList @ sk1) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 49.22/7.62 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3959])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl4023, plain, (![X0 : $i]: (ssItem @ X0)),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl4020, zip_derived_cl185, zip_derived_cl185])).
% 49.22/7.62 thf(zip_derived_cl4121, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (memberP @ X0 @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 49.22/7.62 = (X0)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl4023])).
% 49.22/7.62 thf(zip_derived_cl2451, plain,
% 49.22/7.62 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2432, zip_derived_cl2403])).
% 49.22/7.62 thf(clause149, axiom,
% 49.22/7.62 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 49.22/7.62 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 49.22/7.62 thf(zip_derived_cl148, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause149])).
% 49.22/7.62 thf(clause173, axiom,
% 49.22/7.62 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 49.22/7.62 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 49.22/7.62 ( segmentP @ X @ V ))).
% 49.22/7.62 thf(zip_derived_cl172, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.22/7.62 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 49.22/7.62 | ~ (ssList @ X3)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | (segmentP @ X0 @ X2))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause173])).
% 49.22/7.62 thf(zip_derived_cl2891, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.22/7.62 (~ (ssList @ X2)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (ssList @ X2)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X3)
% 49.22/7.62 | (segmentP @ X3 @ X1))),
% 49.22/7.62 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 49.22/7.62 thf(zip_derived_cl2911, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 49.22/7.62 ( (segmentP @ X3 @ X1)
% 49.22/7.62 | ~ (ssList @ X3)
% 49.22/7.62 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ~ (ssList @ X2))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl2891])).
% 49.22/7.62 thf(zip_derived_cl5105, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | (segmentP @ X1 @ sk1)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (ssList @ sk1)
% 49.22/7.62 | ~ (ssList @ X2))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl2451, zip_derived_cl2911])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl5129, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | (segmentP @ X1 @ sk1)
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (ssList @ X2))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl5105, zip_derived_cl185])).
% 49.22/7.62 thf(zip_derived_cl5130, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 49.22/7.62 (~ (ssList @ X2)
% 49.22/7.62 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | (segmentP @ X1 @ sk1)
% 49.22/7.62 | ~ (ssList @ X0))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl5129])).
% 49.22/7.62 thf(zip_derived_cl30265, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ~ (memberP @ X0 @ sk5)
% 49.22/7.62 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 49.22/7.62 | ((X0) != (X1))
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | (segmentP @ X1 @ sk1)
% 49.22/7.62 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl4121, zip_derived_cl5130])).
% 49.22/7.62 thf(zip_derived_cl52, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause53])).
% 49.22/7.62 thf(zip_derived_cl51, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause52])).
% 49.22/7.62 thf(zip_derived_cl30290, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (~ (ssList @ X0)
% 49.22/7.62 | ~ (memberP @ X0 @ sk5)
% 49.22/7.62 | ((X0) != (X1))
% 49.22/7.62 | ~ (ssList @ X1)
% 49.22/7.62 | (segmentP @ X1 @ sk1))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl30265, zip_derived_cl52, zip_derived_cl51])).
% 49.22/7.62 thf(zip_derived_cl32475, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 ( (segmentP @ X0 @ sk1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | ~ (memberP @ X0 @ sk5)
% 49.22/7.62 | ~ (ssList @ X0))),
% 49.22/7.62 inference('eq_res', [status(thm)], [zip_derived_cl30290])).
% 49.22/7.62 thf(zip_derived_cl32476, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl32475])).
% 49.22/7.62 thf(clause116, axiom,
% 49.22/7.62 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 49.22/7.62 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 49.22/7.62 thf(zip_derived_cl115, plain,
% 49.22/7.62 (![X0 : $i, X1 : $i]:
% 49.22/7.62 (((cons @ X1 @ nil) != (X0))
% 49.22/7.62 | ~ (ssItem @ X1)
% 49.22/7.62 | ~ (ssList @ X0)
% 49.22/7.62 | (singletonP @ X0))),
% 49.22/7.62 inference('cnf', [status(esa)], [clause116])).
% 49.22/7.62 thf(co1_12, conjecture,
% 49.22/7.62 (~( ( ~( singletonP @ sk1 ) ) | ( ~( segmentP @ sk2 @ sk1 ) ) ))).
% 49.22/7.62 thf(zf_stmt_9, negated_conjecture,
% 49.22/7.62 (( ~( singletonP @ sk1 ) ) | ( ~( segmentP @ sk2 @ sk1 ) )),
% 49.22/7.62 inference('cnf.neg', [status(esa)], [co1_12])).
% 49.22/7.62 thf(zip_derived_cl196, plain,
% 49.22/7.62 ((~ (singletonP @ sk1) | ~ (segmentP @ sk2 @ sk1))),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_9])).
% 49.22/7.62 thf(zip_derived_cl1363, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssList @ sk1)
% 49.22/7.62 | ~ (ssItem @ X0)
% 49.22/7.62 | ((cons @ X0 @ nil) != (sk1))
% 49.22/7.62 | ~ (segmentP @ sk2 @ sk1))),
% 49.22/7.62 inference('dp-resolution', [status(thm)],
% 49.22/7.62 [zip_derived_cl115, zip_derived_cl196])).
% 49.22/7.62 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 49.22/7.62 thf(zip_derived_cl1442, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssItem @ X0)
% 49.22/7.62 | ((cons @ X0 @ nil) != (sk1))
% 49.22/7.62 | ~ (segmentP @ sk2 @ sk1))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl1363, zip_derived_cl185])).
% 49.22/7.62 thf(zip_derived_cl4023, plain, (![X0 : $i]: (ssItem @ X0)),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl4020, zip_derived_cl185, zip_derived_cl185])).
% 49.22/7.62 thf(zip_derived_cl4134, plain,
% 49.22/7.62 (![X0 : $i]: (((cons @ X0 @ nil) != (sk1)) | ~ (segmentP @ sk2 @ sk1))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl1442, zip_derived_cl4023])).
% 49.22/7.62 thf(zip_derived_cl32719, plain,
% 49.22/7.62 (![X0 : $i]:
% 49.22/7.62 (~ (ssList @ sk2)
% 49.22/7.62 | ~ (memberP @ sk2 @ sk5)
% 49.22/7.62 | ((cons @ X0 @ nil) != (sk1)))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl32476, zip_derived_cl4134])).
% 49.22/7.62 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 49.22/7.62 inference('cnf', [status(esa)], [zf_stmt_4])).
% 49.22/7.62 thf(zip_derived_cl32746, plain,
% 49.22/7.62 (![X0 : $i]: (~ (memberP @ sk2 @ sk5) | ((cons @ X0 @ nil) != (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl32719, zip_derived_cl186])).
% 49.22/7.62 thf(zip_derived_cl32979, plain,
% 49.22/7.62 (![X0 : $i]: (((sk2) = (nil)) | ((cons @ X0 @ nil) != (sk1)))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl1435, zip_derived_cl32746])).
% 49.22/7.62 thf(zip_derived_cl33077, plain,
% 49.22/7.62 ((~ (ssList @ nil)
% 49.22/7.62 | ((nil) != (nil))
% 49.22/7.62 | ((sk2) = (nil))
% 49.22/7.62 | ((sk1) != (sk1)))),
% 49.22/7.62 inference('s_sup-', [status(thm)],
% 49.22/7.62 [zip_derived_cl4602, zip_derived_cl32979])).
% 49.22/7.62 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 49.22/7.62 inference('cnf', [status(esa)], [clause8])).
% 49.22/7.62 thf(zip_derived_cl33089, plain,
% 49.22/7.62 ((((nil) != (nil)) | ((sk2) = (nil)) | ((sk1) != (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)], [zip_derived_cl33077, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl33090, plain, (((sk2) = (nil))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl33089])).
% 49.22/7.62 thf(zip_derived_cl33094, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl1408, zip_derived_cl33090])).
% 49.22/7.62 thf(zip_derived_cl33095, plain, (((nil) = (sk1))),
% 49.22/7.62 inference('simplify', [status(thm)], [zip_derived_cl33094])).
% 49.22/7.62 thf(zip_derived_cl2439, plain, (((sk1) != (nil))),
% 49.22/7.62 inference('demod', [status(thm)],
% 49.22/7.62 [zip_derived_cl2422, zip_derived_cl2403, zip_derived_cl7])).
% 49.22/7.62 thf(zip_derived_cl33096, plain, ($false),
% 49.22/7.62 inference('simplify_reflect-', [status(thm)],
% 49.22/7.62 [zip_derived_cl33095, zip_derived_cl2439])).
% 49.22/7.62
% 49.22/7.62 % SZS output end Refutation
% 49.22/7.62
% 49.22/7.62
% 49.22/7.62 % Terminating...
% 49.22/7.68 % Runner terminated.
% 49.22/7.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------