TSTP Solution File: SWC363-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC363-1 : 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.UrtGzy1yof true
% Computer : n028.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 21:31:02 EDT 2023
% Result : Unsatisfiable 134.12s 19.81s
% Output : Refutation 134.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC363-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UrtGzy1yof true
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Aug 28 18:15:10 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.17/0.58 % Total configuration time : 435
% 0.17/0.58 % Estimated wc time : 1092
% 0.17/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.71/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.71/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.71/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.71/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.71/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.71/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.71/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 134.12/19.81 % Solved by fo/fo6_bce.sh.
% 134.12/19.81 % BCE start: 197
% 134.12/19.81 % BCE eliminated: 0
% 134.12/19.81 % PE start: 197
% 134.12/19.81 logic: eq
% 134.12/19.81 % PE eliminated: 3
% 134.12/19.81 % done 4563 iterations in 19.094s
% 134.12/19.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 134.12/19.81 % SZS output start Refutation
% 134.12/19.81 thf(nil_type, type, nil: $i).
% 134.12/19.81 thf(cons_type, type, cons: $i > $i > $i).
% 134.12/19.81 thf(sk2_type, type, sk2: $i).
% 134.12/19.81 thf(sk4_type, type, sk4: $i).
% 134.12/19.81 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 134.12/19.81 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 134.12/19.81 thf(memberP_type, type, memberP: $i > $i > $o).
% 134.12/19.81 thf(ssItem_type, type, ssItem: $i > $o).
% 134.12/19.81 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 134.12/19.81 thf(sk5_type, type, sk5: $i).
% 134.12/19.81 thf(sk3_type, type, sk3: $i).
% 134.12/19.81 thf(neq_type, type, neq: $i > $i > $o).
% 134.12/19.81 thf(app_type, type, app: $i > $i > $i).
% 134.12/19.81 thf(ssList_type, type, ssList: $i > $o).
% 134.12/19.81 thf(sk1_type, type, sk1: $i).
% 134.12/19.81 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 134.12/19.81 thf(clause169, axiom,
% 134.12/19.81 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 134.12/19.81 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 134.12/19.81 thf(zip_derived_cl168, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (memberP @ X0 @ X1)
% 134.12/19.81 | ~ (ssItem @ X1)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 134.12/19.81 = (X0)))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause169])).
% 134.12/19.81 thf(clause85, axiom,
% 134.12/19.81 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 134.12/19.81 thf(zip_derived_cl84, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause85])).
% 134.12/19.81 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 134.12/19.81 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_7])).
% 134.12/19.81 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 134.12/19.81 thf(co1_11, conjecture,
% 134.12/19.81 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 134.12/19.81 thf(zf_stmt_1, negated_conjecture,
% 134.12/19.81 (( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_11])).
% 134.12/19.81 thf(zip_derived_cl195, plain,
% 134.12/19.81 ((~ (neq @ sk4 @ nil) | ((cons @ sk5 @ nil) = (sk3)))),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.12/19.81 thf(zip_derived_cl1399, plain,
% 134.12/19.81 ((((sk2) != (sk4)) | ((nil) != (nil)) | ((cons @ sk5 @ nil) = (sk3)))),
% 134.12/19.81 inference('dp-resolution', [status(thm)],
% 134.12/19.81 [zip_derived_cl191, zip_derived_cl195])).
% 134.12/19.81 thf(zip_derived_cl1404, plain,
% 134.12/19.81 ((((cons @ sk5 @ nil) = (sk3)) | ((sk2) != (sk4)))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1399])).
% 134.12/19.81 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 134.12/19.81 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_6])).
% 134.12/19.81 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 134.12/19.81 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 134.12/19.81 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_5])).
% 134.12/19.81 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 134.12/19.81 thf(zip_derived_cl1405, plain,
% 134.12/19.81 ((((cons @ sk5 @ nil) = (sk1)) | ((sk2) != (sk2)))),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl1404, zip_derived_cl190, zip_derived_cl189])).
% 134.12/19.81 thf(zip_derived_cl1406, plain, (((cons @ sk5 @ nil) = (sk1))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1405])).
% 134.12/19.81 thf(clause138, axiom,
% 134.12/19.81 (( ( U ) != ( V ) ) | ( ~( ssList @ W ) ) | ( ~( ssItem @ V ) ) |
% 134.12/19.81 ( ~( ssItem @ U ) ) | ( memberP @ ( cons @ V @ W ) @ U ))).
% 134.12/19.81 thf(zip_derived_cl137, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.12/19.81 (((X1) != (X0))
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ~ (ssItem @ X0)
% 134.12/19.81 | ~ (ssItem @ X1)
% 134.12/19.81 | (memberP @ (cons @ X0 @ X2) @ X1))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause138])).
% 134.12/19.81 thf(zip_derived_cl1765, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 ( (memberP @ (cons @ X0 @ X1) @ X0)
% 134.12/19.81 | ~ (ssItem @ X0)
% 134.12/19.81 | ~ (ssItem @ X0)
% 134.12/19.81 | ~ (ssList @ X1))),
% 134.12/19.81 inference('eq_res', [status(thm)], [zip_derived_cl137])).
% 134.12/19.81 thf(zip_derived_cl1766, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (ssList @ X1)
% 134.12/19.81 | ~ (ssItem @ X0)
% 134.12/19.81 | (memberP @ (cons @ X0 @ X1) @ X0))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1765])).
% 134.12/19.81 thf(zip_derived_cl1771, plain,
% 134.12/19.81 ((~ (ssList @ nil) | ~ (ssItem @ sk5) | (memberP @ sk1 @ sk5))),
% 134.12/19.81 inference('s_sup+', [status(thm)],
% 134.12/19.81 [zip_derived_cl1406, zip_derived_cl1766])).
% 134.12/19.81 thf(clause8, axiom, (ssList @ nil)).
% 134.12/19.81 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 134.12/19.81 inference('cnf', [status(esa)], [clause8])).
% 134.12/19.81 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 134.12/19.81 thf(co1_10, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 134.12/19.81 thf(zf_stmt_4, negated_conjecture,
% 134.12/19.81 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_10])).
% 134.12/19.81 thf(zip_derived_cl194, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 134.12/19.81 thf(zip_derived_cl1396, plain,
% 134.12/19.81 ((((sk2) != (sk4)) | ((nil) != (nil)) | (ssItem @ sk5))),
% 134.12/19.81 inference('dp-resolution', [status(thm)],
% 134.12/19.81 [zip_derived_cl191, zip_derived_cl194])).
% 134.12/19.81 thf(zip_derived_cl1407, plain, (( (ssItem @ sk5) | ((sk2) != (sk4)))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1396])).
% 134.12/19.81 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 134.12/19.81 thf(zip_derived_cl1408, plain, (( (ssItem @ sk5) | ((sk2) != (sk2)))),
% 134.12/19.81 inference('demod', [status(thm)], [zip_derived_cl1407, zip_derived_cl189])).
% 134.12/19.81 thf(zip_derived_cl1409, plain, ( (ssItem @ sk5)),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1408])).
% 134.12/19.81 thf(zip_derived_cl1775, plain, ( (memberP @ sk1 @ sk5)),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl1771, zip_derived_cl7, zip_derived_cl1409])).
% 134.12/19.81 thf(zip_derived_cl1406, plain, (((cons @ sk5 @ nil) = (sk1))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1405])).
% 134.12/19.81 thf(zip_derived_cl168, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (memberP @ X0 @ X1)
% 134.12/19.81 | ~ (ssItem @ X1)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 134.12/19.81 = (X0)))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause169])).
% 134.12/19.81 thf(clause72, axiom,
% 134.12/19.81 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 134.12/19.81 thf(zip_derived_cl71, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause72])).
% 134.12/19.81 thf(clause179, axiom,
% 134.12/19.81 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 134.12/19.81 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 134.12/19.81 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 134.12/19.81 thf(zip_derived_cl178, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 134.12/19.81 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 134.12/19.81 | ~ (ssList @ X4)
% 134.12/19.81 | ~ (ssList @ X3)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ~ (ssItem @ X2)
% 134.12/19.81 | ~ (duplicatefreeP @ X0)
% 134.12/19.81 | ~ (ssList @ X0))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause179])).
% 134.12/19.81 thf(zip_derived_cl1361, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 134.12/19.81 ( (ssItem @ X1)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ~ (ssItem @ X3)
% 134.12/19.81 | ~ (ssList @ X5)
% 134.12/19.81 | ~ (ssList @ X4)
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 134.12/19.81 inference('dp-resolution', [status(thm)],
% 134.12/19.81 [zip_derived_cl71, zip_derived_cl178])).
% 134.12/19.81 thf(zip_derived_cl3754, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 134.12/19.81 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ~ (ssList @ X4)
% 134.12/19.81 | ~ (ssList @ X5)
% 134.12/19.81 | ~ (ssItem @ X3)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | (ssItem @ X1))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1361])).
% 134.12/19.81 thf(zip_derived_cl3769, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 134.12/19.81 (~ (ssList @ X0)
% 134.12/19.81 | ~ (ssItem @ X3)
% 134.12/19.81 | ~ (memberP @ X0 @ X3)
% 134.12/19.81 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 134.12/19.81 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 134.12/19.81 | ~ (ssItem @ X3)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | (ssItem @ X4))),
% 134.12/19.81 inference('s_sup-', [status(thm)],
% 134.12/19.81 [zip_derived_cl168, zip_derived_cl3754])).
% 134.12/19.81 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 134.12/19.81 thf(zip_derived_cl51, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause52])).
% 134.12/19.81 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 134.12/19.81 thf(zip_derived_cl52, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause53])).
% 134.12/19.81 thf(zip_derived_cl3798, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 134.12/19.81 (~ (ssList @ X0)
% 134.12/19.81 | ~ (ssItem @ X3)
% 134.12/19.81 | ~ (memberP @ X0 @ X3)
% 134.12/19.81 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ~ (ssItem @ X3)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | (ssItem @ X4))),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl3769, zip_derived_cl51, zip_derived_cl52])).
% 134.12/19.81 thf(zip_derived_cl3799, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 134.12/19.81 ( (ssItem @ X4)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 134.12/19.81 | ~ (memberP @ X0 @ X3)
% 134.12/19.81 | ~ (ssItem @ X3)
% 134.12/19.81 | ~ (ssList @ X0))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl3798])).
% 134.12/19.81 thf(zip_derived_cl5498, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.12/19.81 ( (ssItem @ X2)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ~ (ssList @ nil)
% 134.12/19.81 | ((app @ X1 @ sk1) != (X0))
% 134.12/19.81 | ~ (memberP @ X1 @ sk5)
% 134.12/19.81 | ~ (ssItem @ sk5)
% 134.12/19.81 | ~ (ssList @ X1))),
% 134.12/19.81 inference('s_sup-', [status(thm)],
% 134.12/19.81 [zip_derived_cl1406, zip_derived_cl3799])).
% 134.12/19.81 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 134.12/19.81 inference('cnf', [status(esa)], [clause8])).
% 134.12/19.81 thf(zip_derived_cl1409, plain, ( (ssItem @ sk5)),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1408])).
% 134.12/19.81 thf(zip_derived_cl5522, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.12/19.81 ( (ssItem @ X2)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ((app @ X1 @ sk1) != (X0))
% 134.12/19.81 | ~ (memberP @ X1 @ sk5)
% 134.12/19.81 | ~ (ssList @ X1))),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl5498, zip_derived_cl7, zip_derived_cl1409])).
% 134.12/19.81 thf(zip_derived_cl5561, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 ( (ssItem @ X0)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ((app @ sk1 @ sk1) != (X1))
% 134.12/19.81 | ~ (ssList @ sk1))),
% 134.12/19.81 inference('s_sup-', [status(thm)],
% 134.12/19.81 [zip_derived_cl1775, zip_derived_cl5522])).
% 134.12/19.81 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 134.12/19.81 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_1])).
% 134.12/19.81 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.12/19.81 thf(zip_derived_cl5568, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk1 @ sk1) != (X1)))),
% 134.12/19.81 inference('demod', [status(thm)], [zip_derived_cl5561, zip_derived_cl185])).
% 134.12/19.81 thf(zip_derived_cl5730, plain,
% 134.12/19.81 (![X0 : $i]: (~ (ssList @ (app @ sk1 @ sk1)) | (ssItem @ X0))),
% 134.12/19.81 inference('eq_res', [status(thm)], [zip_derived_cl5568])).
% 134.12/19.81 thf(zip_derived_cl5740, plain,
% 134.12/19.81 (![X0 : $i]: (~ (ssList @ sk1) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 134.12/19.81 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5730])).
% 134.12/19.81 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.12/19.81 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.12/19.81 thf(zip_derived_cl5745, plain, (![X0 : $i]: (ssItem @ X0)),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl5740, zip_derived_cl185, zip_derived_cl185])).
% 134.12/19.81 thf(zip_derived_cl5905, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (memberP @ X0 @ X1)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 134.12/19.81 = (X0)))),
% 134.12/19.81 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl5745])).
% 134.12/19.81 thf(zip_derived_cl1406, plain, (((cons @ sk5 @ nil) = (sk1))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1405])).
% 134.12/19.81 thf(clause120, axiom,
% 134.12/19.81 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 134.12/19.81 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 134.12/19.81 thf(zip_derived_cl119, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (ssItem @ X0)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause120])).
% 134.12/19.81 thf(zip_derived_cl1680, plain,
% 134.12/19.81 (![X0 : $i]:
% 134.12/19.81 (~ (ssItem @ sk5)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 134.12/19.81 inference('s_sup+', [status(thm)],
% 134.12/19.81 [zip_derived_cl1406, zip_derived_cl119])).
% 134.12/19.81 thf(zip_derived_cl1409, plain, ( (ssItem @ sk5)),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1408])).
% 134.12/19.81 thf(zip_derived_cl1683, plain,
% 134.12/19.81 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl1680, zip_derived_cl1409])).
% 134.12/19.81 thf(clause149, axiom,
% 134.12/19.81 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 134.12/19.81 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 134.12/19.81 thf(zip_derived_cl148, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.12/19.81 (~ (ssList @ X0)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause149])).
% 134.12/19.81 thf(clause173, axiom,
% 134.12/19.81 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 134.12/19.81 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 134.12/19.81 ( segmentP @ X @ V ))).
% 134.12/19.81 thf(zip_derived_cl172, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.12/19.81 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 134.12/19.81 | ~ (ssList @ X3)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | (segmentP @ X0 @ X2))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause173])).
% 134.12/19.81 thf(zip_derived_cl3111, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.12/19.81 (~ (ssList @ X2)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ~ (ssList @ X2)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ~ (ssList @ X3)
% 134.12/19.81 | (segmentP @ X3 @ X1))),
% 134.12/19.81 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 134.12/19.81 thf(zip_derived_cl3136, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.12/19.81 ( (segmentP @ X3 @ X1)
% 134.12/19.81 | ~ (ssList @ X3)
% 134.12/19.81 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ~ (ssList @ X2))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl3111])).
% 134.12/19.81 thf(zip_derived_cl5978, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.12/19.81 (~ (ssList @ X0)
% 134.12/19.81 | (segmentP @ X1 @ sk1)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ~ (ssList @ sk1)
% 134.12/19.81 | ~ (ssList @ X2))),
% 134.12/19.81 inference('s_sup-', [status(thm)],
% 134.12/19.81 [zip_derived_cl1683, zip_derived_cl3136])).
% 134.12/19.81 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.12/19.81 thf(zip_derived_cl6008, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.12/19.81 (~ (ssList @ X0)
% 134.12/19.81 | (segmentP @ X1 @ sk1)
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ~ (ssList @ X2))),
% 134.12/19.81 inference('demod', [status(thm)], [zip_derived_cl5978, zip_derived_cl185])).
% 134.12/19.81 thf(zip_derived_cl6009, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.12/19.81 (~ (ssList @ X2)
% 134.12/19.81 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | (segmentP @ X1 @ sk1)
% 134.12/19.81 | ~ (ssList @ X0))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl6008])).
% 134.12/19.81 thf(zip_derived_cl42282, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (ssList @ X0)
% 134.12/19.81 | ~ (memberP @ X0 @ sk5)
% 134.12/19.81 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 134.12/19.81 | ((X0) != (X1))
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | (segmentP @ X1 @ sk1)
% 134.12/19.81 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 134.12/19.81 inference('s_sup-', [status(thm)],
% 134.12/19.81 [zip_derived_cl5905, zip_derived_cl6009])).
% 134.12/19.81 thf(zip_derived_cl52, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause53])).
% 134.12/19.81 thf(zip_derived_cl51, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 134.12/19.81 inference('cnf', [status(esa)], [clause52])).
% 134.12/19.81 thf(zip_derived_cl42316, plain,
% 134.12/19.81 (![X0 : $i, X1 : $i]:
% 134.12/19.81 (~ (ssList @ X0)
% 134.12/19.81 | ~ (memberP @ X0 @ sk5)
% 134.12/19.81 | ((X0) != (X1))
% 134.12/19.81 | ~ (ssList @ X1)
% 134.12/19.81 | (segmentP @ X1 @ sk1))),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl42282, zip_derived_cl52, zip_derived_cl51])).
% 134.12/19.81 thf(zip_derived_cl50504, plain,
% 134.12/19.81 (![X0 : $i]:
% 134.12/19.81 ( (segmentP @ X0 @ sk1)
% 134.12/19.81 | ~ (ssList @ X0)
% 134.12/19.81 | ~ (memberP @ X0 @ sk5)
% 134.12/19.81 | ~ (ssList @ X0))),
% 134.12/19.81 inference('eq_res', [status(thm)], [zip_derived_cl42316])).
% 134.12/19.81 thf(zip_derived_cl50505, plain,
% 134.12/19.81 (![X0 : $i]:
% 134.12/19.81 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl50504])).
% 134.12/19.81 thf(co1_8, conjecture, (segmentP @ sk2 @ sk1)).
% 134.12/19.81 thf(zf_stmt_6, negated_conjecture, (~( segmentP @ sk2 @ sk1 )),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_8])).
% 134.12/19.81 thf(zip_derived_cl192, plain, (~ (segmentP @ sk2 @ sk1)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_6])).
% 134.12/19.81 thf(zip_derived_cl50730, plain,
% 134.12/19.81 ((~ (ssList @ sk2) | ~ (memberP @ sk2 @ sk5))),
% 134.12/19.81 inference('s_sup-', [status(thm)],
% 134.12/19.81 [zip_derived_cl50505, zip_derived_cl192])).
% 134.12/19.81 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 134.12/19.81 thf(zf_stmt_7, negated_conjecture, (ssList @ sk2),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_2])).
% 134.12/19.81 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.12/19.81 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 134.12/19.81 thf(co1_12, conjecture,
% 134.12/19.81 (~( ( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 134.12/19.81 thf(zf_stmt_8, negated_conjecture,
% 134.12/19.81 (( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk4 @ sk5 )),
% 134.12/19.81 inference('cnf.neg', [status(esa)], [co1_12])).
% 134.12/19.81 thf(zip_derived_cl196, plain,
% 134.12/19.81 ((~ (neq @ sk4 @ nil) | (memberP @ sk4 @ sk5))),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_8])).
% 134.12/19.81 thf(zip_derived_cl1402, plain,
% 134.12/19.81 ((((sk2) != (sk4)) | ((nil) != (nil)) | (memberP @ sk4 @ sk5))),
% 134.12/19.81 inference('dp-resolution', [status(thm)],
% 134.12/19.81 [zip_derived_cl191, zip_derived_cl196])).
% 134.12/19.81 thf(zip_derived_cl1410, plain, (( (memberP @ sk4 @ sk5) | ((sk2) != (sk4)))),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1402])).
% 134.12/19.81 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 134.12/19.81 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 134.12/19.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 134.12/19.81 thf(zip_derived_cl1411, plain, (( (memberP @ sk2 @ sk5) | ((sk2) != (sk2)))),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl1410, zip_derived_cl189, zip_derived_cl189])).
% 134.12/19.81 thf(zip_derived_cl1412, plain, ( (memberP @ sk2 @ sk5)),
% 134.12/19.81 inference('simplify', [status(thm)], [zip_derived_cl1411])).
% 134.12/19.81 thf(zip_derived_cl50769, plain, ($false),
% 134.12/19.81 inference('demod', [status(thm)],
% 134.12/19.81 [zip_derived_cl50730, zip_derived_cl186, zip_derived_cl1412])).
% 134.12/19.81
% 134.12/19.81 % SZS output end Refutation
% 134.12/19.81
% 134.12/19.81
% 134.12/19.81 % Terminating...
% 134.45/19.94 % Runner terminated.
% 134.45/19.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------