TSTP Solution File: SWC356-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC356-1 : 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.bKNoJaPnCC true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:30:59 EDT 2023
% Result : Unsatisfiable 197.63s 29.20s
% Output : Refutation 197.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC356-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bKNoJaPnCC true
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 18:25:02 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.51/0.66 % Total configuration time : 435
% 0.51/0.66 % Estimated wc time : 1092
% 0.51/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 197.63/29.20 % Solved by fo/fo6_bce.sh.
% 197.63/29.20 % BCE start: 201
% 197.63/29.20 % BCE eliminated: 2
% 197.63/29.20 % PE start: 199
% 197.63/29.20 logic: eq
% 197.63/29.20 % PE eliminated: 7
% 197.63/29.20 % done 5130 iterations in 28.404s
% 197.63/29.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 197.63/29.20 % SZS output start Refutation
% 197.63/29.20 thf(nil_type, type, nil: $i).
% 197.63/29.20 thf(cons_type, type, cons: $i > $i > $i).
% 197.63/29.20 thf(sk2_type, type, sk2: $i).
% 197.63/29.20 thf(sk4_type, type, sk4: $i).
% 197.63/29.20 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 197.63/29.20 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 197.63/29.20 thf(tl_type, type, tl: $i > $i).
% 197.63/29.20 thf(memberP_type, type, memberP: $i > $i > $o).
% 197.63/29.20 thf(hd_type, type, hd: $i > $i).
% 197.63/29.20 thf(ssItem_type, type, ssItem: $i > $o).
% 197.63/29.20 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 197.63/29.20 thf(skaf44_type, type, skaf44: $i > $i).
% 197.63/29.20 thf(sk5_type, type, sk5: $i).
% 197.63/29.20 thf(sk3_type, type, sk3: $i).
% 197.63/29.20 thf(neq_type, type, neq: $i > $i > $o).
% 197.63/29.20 thf(app_type, type, app: $i > $i > $i).
% 197.63/29.20 thf(ssList_type, type, ssList: $i > $o).
% 197.63/29.20 thf(sk1_type, type, sk1: $i).
% 197.63/29.20 thf(singletonP_type, type, singletonP: $i > $o).
% 197.63/29.20 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 197.63/29.20 thf(clause169, axiom,
% 197.63/29.20 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 197.63/29.20 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 197.63/29.20 thf(zip_derived_cl168, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (memberP @ X0 @ X1)
% 197.63/29.20 | ~ (ssItem @ X1)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 197.63/29.20 = (X0)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause169])).
% 197.63/29.20 thf(clause85, axiom,
% 197.63/29.20 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 197.63/29.20 thf(zip_derived_cl84, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause85])).
% 197.63/29.20 thf(co1_12, conjecture,
% 197.63/29.20 (~( ( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 197.63/29.20 thf(zf_stmt_0, negated_conjecture,
% 197.63/29.20 (( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 )),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_12])).
% 197.63/29.20 thf(zip_derived_cl196, plain, ((((nil) = (sk4)) | (memberP @ sk4 @ sk5))),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 197.63/29.20 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 197.63/29.20 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_5])).
% 197.63/29.20 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 197.63/29.20 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 197.63/29.20 thf(zip_derived_cl1400, plain, ((((nil) = (sk2)) | (memberP @ sk2 @ sk5))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl196, zip_derived_cl189, zip_derived_cl189])).
% 197.63/29.20 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 197.63/29.20 thf(zf_stmt_2, negated_conjecture, (neq @ sk2 @ nil),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_7])).
% 197.63/29.20 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 197.63/29.20 thf(clause115, axiom,
% 197.63/29.20 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 197.63/29.20 ( ~( ssList @ U ) ))).
% 197.63/29.20 thf(zip_derived_cl114, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (((X1) != (X0))
% 197.63/29.20 | ~ (neq @ X1 @ X0)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (ssList @ X1))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause115])).
% 197.63/29.20 thf(zip_derived_cl1359, plain,
% 197.63/29.20 ((~ (ssList @ sk2) | ~ (ssList @ nil) | ((sk2) != (nil)))),
% 197.63/29.20 inference('dp-resolution', [status(thm)],
% 197.63/29.20 [zip_derived_cl191, zip_derived_cl114])).
% 197.63/29.20 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 197.63/29.20 thf(zf_stmt_3, negated_conjecture, (ssList @ sk2),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_2])).
% 197.63/29.20 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 197.63/29.20 thf(clause8, axiom, (ssList @ nil)).
% 197.63/29.20 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 197.63/29.20 inference('cnf', [status(esa)], [clause8])).
% 197.63/29.20 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1401, plain, ( (memberP @ sk2 @ sk5)),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1400, zip_derived_cl1396])).
% 197.63/29.20 thf(co1_9, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 ) ))).
% 197.63/29.20 thf(zf_stmt_4, negated_conjecture,
% 197.63/29.20 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 )),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_9])).
% 197.63/29.20 thf(zip_derived_cl193, plain, ((((nil) = (sk4)) | (ssItem @ sk5))),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_4])).
% 197.63/29.20 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 197.63/29.20 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 197.63/29.20 thf(co1_11, conjecture,
% 197.63/29.20 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 197.63/29.20 thf(zf_stmt_5, negated_conjecture,
% 197.63/29.20 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_11])).
% 197.63/29.20 thf(zip_derived_cl195, plain,
% 197.63/29.20 ((((nil) = (sk4)) | ((cons @ sk5 @ nil) = (sk3)))),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_5])).
% 197.63/29.20 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_1])).
% 197.63/29.20 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 197.63/29.20 thf(zf_stmt_6, negated_conjecture, (( sk1 ) = ( sk3 )),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_6])).
% 197.63/29.20 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_6])).
% 197.63/29.20 thf(zip_derived_cl1384, plain,
% 197.63/29.20 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl190])).
% 197.63/29.20 thf(clause97, axiom,
% 197.63/29.20 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 197.63/29.20 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 197.63/29.20 thf(zip_derived_cl96, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause97])).
% 197.63/29.20 thf(zip_derived_cl1549, plain,
% 197.63/29.20 ((((nil) = (sk2))
% 197.63/29.20 | ~ (ssItem @ sk5)
% 197.63/29.20 | ~ (ssList @ nil)
% 197.63/29.20 | ((hd @ sk1) = (sk5)))),
% 197.63/29.20 inference('s_sup+', [status(thm)], [zip_derived_cl1384, zip_derived_cl96])).
% 197.63/29.20 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 197.63/29.20 inference('cnf', [status(esa)], [clause8])).
% 197.63/29.20 thf(zip_derived_cl1553, plain,
% 197.63/29.20 ((((nil) = (sk2)) | ~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl1549, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1554, plain, ((~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1553, zip_derived_cl1396])).
% 197.63/29.20 thf(zip_derived_cl1568, plain, ((((nil) = (sk2)) | ((hd @ sk1) = (sk5)))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1394, zip_derived_cl1554])).
% 197.63/29.20 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1570, plain, (((hd @ sk1) = (sk5))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1568, zip_derived_cl1396])).
% 197.63/29.20 thf(clause104, axiom,
% 197.63/29.20 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 197.63/29.20 ( ( nil ) = ( U ) ))).
% 197.63/29.20 thf(zip_derived_cl103, plain,
% 197.63/29.20 (![X0 : $i]:
% 197.63/29.20 (~ (ssList @ X0)
% 197.63/29.20 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 197.63/29.20 | ((nil) = (X0)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause104])).
% 197.63/29.20 thf(zip_derived_cl1573, plain,
% 197.63/29.20 ((~ (ssList @ sk1)
% 197.63/29.20 | ((cons @ sk5 @ (tl @ sk1)) = (sk1))
% 197.63/29.20 | ((nil) = (sk1)))),
% 197.63/29.20 inference('s_sup+', [status(thm)],
% 197.63/29.20 [zip_derived_cl1570, zip_derived_cl103])).
% 197.63/29.20 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 197.63/29.20 thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_1])).
% 197.63/29.20 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_7])).
% 197.63/29.20 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 197.63/29.20 thf(zip_derived_cl1384, plain,
% 197.63/29.20 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl190])).
% 197.63/29.20 thf(clause96, axiom,
% 197.63/29.20 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 197.63/29.20 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 197.63/29.20 thf(zip_derived_cl95, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause96])).
% 197.63/29.20 thf(zip_derived_cl1517, plain,
% 197.63/29.20 ((((nil) = (sk2))
% 197.63/29.20 | ~ (ssItem @ sk5)
% 197.63/29.20 | ~ (ssList @ nil)
% 197.63/29.20 | ((tl @ sk1) = (nil)))),
% 197.63/29.20 inference('s_sup+', [status(thm)], [zip_derived_cl1384, zip_derived_cl95])).
% 197.63/29.20 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 197.63/29.20 inference('cnf', [status(esa)], [clause8])).
% 197.63/29.20 thf(zip_derived_cl1520, plain,
% 197.63/29.20 ((((nil) = (sk2)) | ~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl1517, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1521, plain, ((~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1520, zip_derived_cl1396])).
% 197.63/29.20 thf(zip_derived_cl1523, plain, ((((nil) = (sk2)) | ((tl @ sk1) = (nil)))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1394, zip_derived_cl1521])).
% 197.63/29.20 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1525, plain, (((tl @ sk1) = (nil))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1523, zip_derived_cl1396])).
% 197.63/29.20 thf(zip_derived_cl1576, plain,
% 197.63/29.20 ((((cons @ sk5 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1573, zip_derived_cl185, zip_derived_cl1525])).
% 197.63/29.20 thf(zip_derived_cl1394, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 197.63/29.20 thf(zip_derived_cl1384, plain,
% 197.63/29.20 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl190])).
% 197.63/29.20 thf(clause116, axiom,
% 197.63/29.20 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 197.63/29.20 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 197.63/29.20 thf(zip_derived_cl115, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (((cons @ X1 @ nil) != (X0))
% 197.63/29.20 | ~ (ssItem @ X1)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | (singletonP @ X0))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause116])).
% 197.63/29.20 thf(clause101, axiom,
% 197.63/29.20 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 197.63/29.20 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 197.63/29.20 thf(zip_derived_cl100, plain,
% 197.63/29.20 (![X0 : $i]:
% 197.63/29.20 (~ (singletonP @ X0)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause101])).
% 197.63/29.20 thf(zip_derived_cl1358, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (ssList @ X1)
% 197.63/29.20 | ~ (ssItem @ X0)
% 197.63/29.20 | ((cons @ X0 @ nil) != (X1))
% 197.63/29.20 | ((cons @ (skaf44 @ X1) @ nil) = (X1))
% 197.63/29.20 | ~ (ssList @ X1))),
% 197.63/29.20 inference('dp-resolution', [status(thm)],
% 197.63/29.20 [zip_derived_cl115, zip_derived_cl100])).
% 197.63/29.20 thf(zip_derived_cl1482, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (((cons @ (skaf44 @ X1) @ nil) = (X1))
% 197.63/29.20 | ((cons @ X0 @ nil) != (X1))
% 197.63/29.20 | ~ (ssItem @ X0)
% 197.63/29.20 | ~ (ssList @ X1))),
% 197.63/29.20 inference('simplify', [status(thm)], [zip_derived_cl1358])).
% 197.63/29.20 thf(zip_derived_cl1485, plain,
% 197.63/29.20 (![X0 : $i]:
% 197.63/29.20 (~ (ssList @ (cons @ X0 @ nil))
% 197.63/29.20 | ~ (ssItem @ X0)
% 197.63/29.20 | ((cons @ (skaf44 @ (cons @ X0 @ nil)) @ nil) = (cons @ X0 @ nil)))),
% 197.63/29.20 inference('eq_res', [status(thm)], [zip_derived_cl1482])).
% 197.63/29.20 thf(zip_derived_cl1496, plain,
% 197.63/29.20 ((((nil) = (sk2))
% 197.63/29.20 | ~ (ssList @ sk1)
% 197.63/29.20 | ~ (ssItem @ sk5)
% 197.63/29.20 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 197.63/29.20 inference('s_sup+', [status(thm)],
% 197.63/29.20 [zip_derived_cl1384, zip_derived_cl1485])).
% 197.63/29.20 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_7])).
% 197.63/29.20 thf(zip_derived_cl1500, plain,
% 197.63/29.20 ((((nil) = (sk2))
% 197.63/29.20 | ~ (ssItem @ sk5)
% 197.63/29.20 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl1496, zip_derived_cl185])).
% 197.63/29.20 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1501, plain,
% 197.63/29.20 ((~ (ssItem @ sk5) | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1500, zip_derived_cl1396])).
% 197.63/29.20 thf(zip_derived_cl1512, plain,
% 197.63/29.20 ((((nil) = (sk2)) | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1394, zip_derived_cl1501])).
% 197.63/29.20 thf(zip_derived_cl1396, plain, (((sk2) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1359, zip_derived_cl186, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1514, plain, (((cons @ (skaf44 @ sk1) @ nil) = (sk1))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1512, zip_derived_cl1396])).
% 197.63/29.20 thf(clause98, axiom,
% 197.63/29.20 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 197.63/29.20 ( ~( ssList @ V ) ))).
% 197.63/29.20 thf(zip_derived_cl97, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause98])).
% 197.63/29.20 thf(zip_derived_cl1530, plain,
% 197.63/29.20 ((((sk1) != (nil)) | ~ (ssItem @ (skaf44 @ sk1)) | ~ (ssList @ nil))),
% 197.63/29.20 inference('s_sup-', [status(thm)], [zip_derived_cl1514, zip_derived_cl97])).
% 197.63/29.20 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 197.63/29.20 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause47])).
% 197.63/29.20 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 197.63/29.20 inference('cnf', [status(esa)], [clause8])).
% 197.63/29.20 thf(zip_derived_cl1539, plain, (((sk1) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1530, zip_derived_cl46, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1577, plain, (((cons @ sk5 @ nil) = (sk1))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1576, zip_derived_cl1539])).
% 197.63/29.20 thf(zip_derived_cl168, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (memberP @ X0 @ X1)
% 197.63/29.20 | ~ (ssItem @ X1)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 197.63/29.20 = (X0)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause169])).
% 197.63/29.20 thf(clause72, axiom,
% 197.63/29.20 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 197.63/29.20 thf(zip_derived_cl71, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause72])).
% 197.63/29.20 thf(clause179, axiom,
% 197.63/29.20 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 197.63/29.20 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 197.63/29.20 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 197.63/29.20 thf(zip_derived_cl178, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 197.63/29.20 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 197.63/29.20 | ~ (ssList @ X4)
% 197.63/29.20 | ~ (ssList @ X3)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ~ (ssItem @ X2)
% 197.63/29.20 | ~ (duplicatefreeP @ X0)
% 197.63/29.20 | ~ (ssList @ X0))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause179])).
% 197.63/29.20 thf(zip_derived_cl1363, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 197.63/29.20 ( (ssItem @ X1)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (ssItem @ X3)
% 197.63/29.20 | ~ (ssList @ X5)
% 197.63/29.20 | ~ (ssList @ X4)
% 197.63/29.20 | ~ (ssList @ X2)
% 197.63/29.20 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 197.63/29.20 inference('dp-resolution', [status(thm)],
% 197.63/29.20 [zip_derived_cl71, zip_derived_cl178])).
% 197.63/29.20 thf(zip_derived_cl3792, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 197.63/29.20 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 197.63/29.20 | ~ (ssList @ X2)
% 197.63/29.20 | ~ (ssList @ X4)
% 197.63/29.20 | ~ (ssList @ X5)
% 197.63/29.20 | ~ (ssItem @ X3)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | (ssItem @ X1))),
% 197.63/29.20 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 197.63/29.20 thf(zip_derived_cl3806, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 197.63/29.20 (~ (ssList @ X0)
% 197.63/29.20 | ~ (ssItem @ X3)
% 197.63/29.20 | ~ (memberP @ X0 @ X3)
% 197.63/29.20 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 197.63/29.20 | ~ (ssList @ X2)
% 197.63/29.20 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 197.63/29.20 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 197.63/29.20 | ~ (ssItem @ X3)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | (ssItem @ X4))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl168, zip_derived_cl3792])).
% 197.63/29.20 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 197.63/29.20 thf(zip_derived_cl51, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause52])).
% 197.63/29.20 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 197.63/29.20 thf(zip_derived_cl52, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause53])).
% 197.63/29.20 thf(zip_derived_cl3834, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 197.63/29.20 (~ (ssList @ X0)
% 197.63/29.20 | ~ (ssItem @ X3)
% 197.63/29.20 | ~ (memberP @ X0 @ X3)
% 197.63/29.20 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 197.63/29.20 | ~ (ssList @ X2)
% 197.63/29.20 | ~ (ssItem @ X3)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | (ssItem @ X4))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl3806, zip_derived_cl51, zip_derived_cl52])).
% 197.63/29.20 thf(zip_derived_cl3835, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 197.63/29.20 ( (ssItem @ X4)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ~ (ssList @ X2)
% 197.63/29.20 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 197.63/29.20 | ~ (memberP @ X0 @ X3)
% 197.63/29.20 | ~ (ssItem @ X3)
% 197.63/29.20 | ~ (ssList @ X0))),
% 197.63/29.20 inference('simplify', [status(thm)], [zip_derived_cl3834])).
% 197.63/29.20 thf(zip_derived_cl4354, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 197.63/29.20 ( (ssItem @ X2)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (ssList @ nil)
% 197.63/29.20 | ((app @ X1 @ sk1) != (X0))
% 197.63/29.20 | ~ (memberP @ X1 @ sk5)
% 197.63/29.20 | ~ (ssItem @ sk5)
% 197.63/29.20 | ~ (ssList @ X1))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1577, zip_derived_cl3835])).
% 197.63/29.20 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 197.63/29.20 inference('cnf', [status(esa)], [clause8])).
% 197.63/29.20 thf(zip_derived_cl1570, plain, (((hd @ sk1) = (sk5))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1568, zip_derived_cl1396])).
% 197.63/29.20 thf(clause76, axiom,
% 197.63/29.20 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 197.63/29.20 thf(zip_derived_cl75, plain,
% 197.63/29.20 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause76])).
% 197.63/29.20 thf(zip_derived_cl1572, plain,
% 197.63/29.20 ((~ (ssList @ sk1) | (ssItem @ sk5) | ((nil) = (sk1)))),
% 197.63/29.20 inference('s_sup+', [status(thm)], [zip_derived_cl1570, zip_derived_cl75])).
% 197.63/29.20 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_7])).
% 197.63/29.20 thf(zip_derived_cl1574, plain, (( (ssItem @ sk5) | ((nil) = (sk1)))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl1572, zip_derived_cl185])).
% 197.63/29.20 thf(zip_derived_cl1539, plain, (((sk1) != (nil))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1530, zip_derived_cl46, zip_derived_cl7])).
% 197.63/29.20 thf(zip_derived_cl1575, plain, ( (ssItem @ sk5)),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1574, zip_derived_cl1539])).
% 197.63/29.20 thf(zip_derived_cl4372, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 197.63/29.20 ( (ssItem @ X2)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ((app @ X1 @ sk1) != (X0))
% 197.63/29.20 | ~ (memberP @ X1 @ sk5)
% 197.63/29.20 | ~ (ssList @ X1))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl4354, zip_derived_cl7, zip_derived_cl1575])).
% 197.63/29.20 thf(zip_derived_cl4408, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 ( (ssItem @ X0)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ((app @ sk2 @ sk1) != (X1))
% 197.63/29.20 | ~ (ssList @ sk2))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1401, zip_derived_cl4372])).
% 197.63/29.20 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 197.63/29.20 thf(zip_derived_cl4412, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk2 @ sk1) != (X1)))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl4408, zip_derived_cl186])).
% 197.63/29.20 thf(zip_derived_cl4520, plain,
% 197.63/29.20 (![X0 : $i]: (~ (ssList @ (app @ sk2 @ sk1)) | (ssItem @ X0))),
% 197.63/29.20 inference('eq_res', [status(thm)], [zip_derived_cl4412])).
% 197.63/29.20 thf(zip_derived_cl4526, plain,
% 197.63/29.20 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 197.63/29.20 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4520])).
% 197.63/29.20 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 197.63/29.20 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_7])).
% 197.63/29.20 thf(zip_derived_cl4528, plain, (![X0 : $i]: (ssItem @ X0)),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl4526, zip_derived_cl186, zip_derived_cl185])).
% 197.63/29.20 thf(zip_derived_cl4629, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (memberP @ X0 @ X1)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 197.63/29.20 = (X0)))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl4528])).
% 197.63/29.20 thf(zip_derived_cl1577, plain, (((cons @ sk5 @ nil) = (sk1))),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1576, zip_derived_cl1539])).
% 197.63/29.20 thf(clause120, axiom,
% 197.63/29.20 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 197.63/29.20 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 197.63/29.20 thf(zip_derived_cl119, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (ssItem @ X0)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause120])).
% 197.63/29.20 thf(zip_derived_cl1648, plain,
% 197.63/29.20 (![X0 : $i]:
% 197.63/29.20 (~ (ssItem @ sk5)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 197.63/29.20 inference('s_sup+', [status(thm)],
% 197.63/29.20 [zip_derived_cl1577, zip_derived_cl119])).
% 197.63/29.20 thf(zip_derived_cl1575, plain, ( (ssItem @ sk5)),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1574, zip_derived_cl1539])).
% 197.63/29.20 thf(zip_derived_cl1650, plain,
% 197.63/29.20 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl1648, zip_derived_cl1575])).
% 197.63/29.20 thf(clause149, axiom,
% 197.63/29.20 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 197.63/29.20 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 197.63/29.20 thf(zip_derived_cl148, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 197.63/29.20 (~ (ssList @ X0)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ~ (ssList @ X2)
% 197.63/29.20 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause149])).
% 197.63/29.20 thf(clause173, axiom,
% 197.63/29.20 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 197.63/29.20 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 197.63/29.20 ( segmentP @ X @ V ))).
% 197.63/29.20 thf(zip_derived_cl172, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 197.63/29.20 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 197.63/29.20 | ~ (ssList @ X3)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ~ (ssList @ X2)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | (segmentP @ X0 @ X2))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause173])).
% 197.63/29.20 thf(zip_derived_cl3262, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 197.63/29.20 (~ (ssList @ X2)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (ssList @ X2)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ~ (ssList @ X3)
% 197.63/29.20 | (segmentP @ X3 @ X1))),
% 197.63/29.20 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 197.63/29.20 thf(zip_derived_cl3286, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 197.63/29.20 ( (segmentP @ X3 @ X1)
% 197.63/29.20 | ~ (ssList @ X3)
% 197.63/29.20 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ~ (ssList @ X2))),
% 197.63/29.20 inference('simplify', [status(thm)], [zip_derived_cl3262])).
% 197.63/29.20 thf(zip_derived_cl7156, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 197.63/29.20 (~ (ssList @ X0)
% 197.63/29.20 | (segmentP @ X1 @ sk1)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (ssList @ sk1)
% 197.63/29.20 | ~ (ssList @ X2))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1650, zip_derived_cl3286])).
% 197.63/29.20 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_7])).
% 197.63/29.20 thf(zip_derived_cl7191, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 197.63/29.20 (~ (ssList @ X0)
% 197.63/29.20 | (segmentP @ X1 @ sk1)
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (ssList @ X2))),
% 197.63/29.20 inference('demod', [status(thm)], [zip_derived_cl7156, zip_derived_cl185])).
% 197.63/29.20 thf(zip_derived_cl7192, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i, X2 : $i]:
% 197.63/29.20 (~ (ssList @ X2)
% 197.63/29.20 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | (segmentP @ X1 @ sk1)
% 197.63/29.20 | ~ (ssList @ X0))),
% 197.63/29.20 inference('simplify', [status(thm)], [zip_derived_cl7191])).
% 197.63/29.20 thf(zip_derived_cl79068, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (ssList @ X0)
% 197.63/29.20 | ~ (memberP @ X0 @ sk5)
% 197.63/29.20 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 197.63/29.20 | ((X0) != (X1))
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | (segmentP @ X1 @ sk1)
% 197.63/29.20 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl4629, zip_derived_cl7192])).
% 197.63/29.20 thf(zip_derived_cl52, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause53])).
% 197.63/29.20 thf(zip_derived_cl51, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 197.63/29.20 inference('cnf', [status(esa)], [clause52])).
% 197.63/29.20 thf(zip_derived_cl79123, plain,
% 197.63/29.20 (![X0 : $i, X1 : $i]:
% 197.63/29.20 (~ (ssList @ X0)
% 197.63/29.20 | ~ (memberP @ X0 @ sk5)
% 197.63/29.20 | ((X0) != (X1))
% 197.63/29.20 | ~ (ssList @ X1)
% 197.63/29.20 | (segmentP @ X1 @ sk1))),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl79068, zip_derived_cl52, zip_derived_cl51])).
% 197.63/29.20 thf(zip_derived_cl79178, plain,
% 197.63/29.20 (![X0 : $i]:
% 197.63/29.20 ( (segmentP @ X0 @ sk1)
% 197.63/29.20 | ~ (ssList @ X0)
% 197.63/29.20 | ~ (memberP @ X0 @ sk5)
% 197.63/29.20 | ~ (ssList @ X0))),
% 197.63/29.20 inference('eq_res', [status(thm)], [zip_derived_cl79123])).
% 197.63/29.20 thf(zip_derived_cl79179, plain,
% 197.63/29.20 (![X0 : $i]:
% 197.63/29.20 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 197.63/29.20 inference('simplify', [status(thm)], [zip_derived_cl79178])).
% 197.63/29.20 thf(co1_8, conjecture, (segmentP @ sk2 @ sk1)).
% 197.63/29.20 thf(zf_stmt_8, negated_conjecture, (~( segmentP @ sk2 @ sk1 )),
% 197.63/29.20 inference('cnf.neg', [status(esa)], [co1_8])).
% 197.63/29.20 thf(zip_derived_cl192, plain, (~ (segmentP @ sk2 @ sk1)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_8])).
% 197.63/29.20 thf(zip_derived_cl79382, plain,
% 197.63/29.20 ((~ (ssList @ sk2) | ~ (memberP @ sk2 @ sk5))),
% 197.63/29.20 inference('s_sup-', [status(thm)],
% 197.63/29.20 [zip_derived_cl79179, zip_derived_cl192])).
% 197.63/29.20 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 197.63/29.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 197.63/29.20 thf(zip_derived_cl1401, plain, ( (memberP @ sk2 @ sk5)),
% 197.63/29.20 inference('simplify_reflect-', [status(thm)],
% 197.63/29.20 [zip_derived_cl1400, zip_derived_cl1396])).
% 197.63/29.20 thf(zip_derived_cl79416, plain, ($false),
% 197.63/29.20 inference('demod', [status(thm)],
% 197.63/29.20 [zip_derived_cl79382, zip_derived_cl186, zip_derived_cl1401])).
% 197.63/29.20
% 197.63/29.20 % SZS output end Refutation
% 197.63/29.20
% 197.63/29.20
% 197.63/29.20 % Terminating...
% 198.72/29.42 % Runner terminated.
% 198.73/29.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------