%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC107-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xPzGJmrQBB true
% Computer : n017.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 Oct 2 04:58:38 PM UTC 2025
% Result : Unsatisfiable 126.57s 18.88s
% Output : Refutation 126.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SWC107-1 : TPTP v9.2.0. Released v2.4.0.
% 0.08/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xPzGJmrQBB true
% 0.15/0.38 % Computer : n017.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Wed Oct 1 17:12:53 EDT 2025
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.39 % Python version: Python 3.6.8
% 0.15/0.39 % Running in FO mode
% 0.53/0.68 % Total configuration time : 435
% 0.53/0.68 % Estimated wc time : 1092
% 0.53/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 126.57/18.88 % Solved by fo/fo6_bce.sh.
% 126.57/18.88 % BCE start: 203
% 126.57/18.88 % BCE eliminated: 0
% 126.57/18.88 % PE start: 203
% 126.57/18.88 logic: eq
% 126.57/18.88 % PE eliminated: 6
% 126.57/18.88 % done 5198 iterations in 18.068s
% 126.57/18.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 126.57/18.88 % SZS output start Refutation
% 126.57/18.88 thf(nil_type, type, nil: $i).
% 126.57/18.88 thf(cons_type, type, cons: $i > $i > $i).
% 126.57/18.88 thf(sk2_type, type, sk2: $i).
% 126.57/18.88 thf(sk4_type, type, sk4: $i).
% 126.57/18.88 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 126.57/18.88 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 126.57/18.88 thf(tl_type, type, tl: $i > $i).
% 126.57/18.88 thf(memberP_type, type, memberP: $i > $i > $o).
% 126.57/18.88 thf(hd_type, type, hd: $i > $i).
% 126.57/18.88 thf(ssItem_type, type, ssItem: $i > $o).
% 126.57/18.88 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 126.57/18.88 thf(skaf44_type, type, skaf44: $i > $i).
% 126.57/18.88 thf(sk5_type, type, sk5: $i).
% 126.57/18.88 thf(sk3_type, type, sk3: $i).
% 126.57/18.88 thf(neq_type, type, neq: $i > $i > $o).
% 126.57/18.88 thf(app_type, type, app: $i > $i > $i).
% 126.57/18.88 thf(ssList_type, type, ssList: $i > $o).
% 126.57/18.88 thf(sk1_type, type, sk1: $i).
% 126.57/18.88 thf(singletonP_type, type, singletonP: $i > $o).
% 126.57/18.88 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 126.57/18.88 thf(co1_13, conjecture,
% 126.57/18.88 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 126.57/18.88 thf(zf_stmt_0, negated_conjecture,
% 126.57/18.88 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_13])).
% 126.57/18.88 thf(zip_derived_cl197, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk5))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 126.57/18.88 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 126.57/18.88 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_6])).
% 126.57/18.88 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 126.57/18.88 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 126.57/18.88 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_5])).
% 126.57/18.88 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 126.57/18.88 thf(zip_derived_cl1473, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk5))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl189])).
% 126.57/18.88 thf(clause169, axiom,
% 126.57/18.88 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 126.57/18.88 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 126.57/18.88 thf(zip_derived_cl168, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (memberP @ X0 @ X1)
% 126.57/18.88 | ~ (ssItem @ X1)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 126.57/18.88 = (X0)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause169])).
% 126.57/18.88 thf(clause85, axiom,
% 126.57/18.88 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 126.57/18.88 thf(zip_derived_cl84, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause85])).
% 126.57/18.88 thf(zip_derived_cl1473, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk5))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl189])).
% 126.57/18.88 thf(co1_8, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 ) ))).
% 126.57/18.88 thf(zf_stmt_3, negated_conjecture,
% 126.57/18.88 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_8])).
% 126.57/18.88 thf(zip_derived_cl192, plain, ((((nil) = (sk3)) | (ssItem @ sk5))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 126.57/18.88 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 126.57/18.88 thf(zip_derived_cl1464, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 126.57/18.88 thf(co1_12, conjecture,
% 126.57/18.88 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 126.57/18.88 thf(zf_stmt_4, negated_conjecture,
% 126.57/18.88 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_12])).
% 126.57/18.88 thf(zip_derived_cl196, plain,
% 126.57/18.88 ((((nil) = (sk3)) | ((cons @ sk5 @ nil) = (sk3)))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 126.57/18.88 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 126.57/18.88 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 126.57/18.88 thf(zip_derived_cl1451, plain,
% 126.57/18.88 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl196, zip_derived_cl190, zip_derived_cl190])).
% 126.57/18.88 thf(clause97, axiom,
% 126.57/18.88 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 126.57/18.88 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 126.57/18.88 thf(zip_derived_cl96, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause97])).
% 126.57/18.88 thf(zip_derived_cl1641, plain,
% 126.57/18.88 ((((nil) = (sk1))
% 126.57/18.88 | ~ (ssItem @ sk5)
% 126.57/18.88 | ~ (ssList @ nil)
% 126.57/18.88 | ((hd @ sk1) = (sk5)))),
% 126.57/18.88 inference('s_sup+', [status(thm)], [zip_derived_cl1451, zip_derived_cl96])).
% 126.57/18.88 thf(clause8, axiom, (ssList @ nil)).
% 126.57/18.88 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 126.57/18.88 inference('cnf', [status(esa)], [clause8])).
% 126.57/18.88 thf(zip_derived_cl1646, plain,
% 126.57/18.88 ((((nil) = (sk1)) | ~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl1641, zip_derived_cl7])).
% 126.57/18.88 thf(co1_9, conjecture,
% 126.57/18.88 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 126.57/18.88 thf(zf_stmt_5, negated_conjecture,
% 126.57/18.88 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_9])).
% 126.57/18.88 thf(zip_derived_cl193, plain,
% 126.57/18.88 ((((nil) = (sk4)) | ((cons @ sk5 @ nil) = (sk3)))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 126.57/18.88 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 126.57/18.88 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 126.57/18.88 thf(zip_derived_cl1450, plain,
% 126.57/18.88 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl193, zip_derived_cl189, zip_derived_cl190])).
% 126.57/18.88 thf(clause116, axiom,
% 126.57/18.88 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 126.57/18.88 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 126.57/18.88 thf(zip_derived_cl115, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (((cons @ X1 @ nil) != (X0))
% 126.57/18.88 | ~ (ssItem @ X1)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | (singletonP @ X0))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause116])).
% 126.57/18.88 thf(clause101, axiom,
% 126.57/18.88 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 126.57/18.88 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 126.57/18.88 thf(zip_derived_cl100, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 (~ (singletonP @ X0)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause101])).
% 126.57/18.88 thf(zip_derived_cl1402, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssList @ X1)
% 126.57/18.88 | ~ (ssItem @ X0)
% 126.57/18.88 | ((cons @ X0 @ nil) != (X1))
% 126.57/18.88 | ((cons @ (skaf44 @ X1) @ nil) = (X1))
% 126.57/18.88 | ~ (ssList @ X1))),
% 126.57/18.88 inference('dp-resolution', [status(thm)],
% 126.57/18.88 [zip_derived_cl115, zip_derived_cl100])).
% 126.57/18.88 thf(zip_derived_cl1550, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (((cons @ (skaf44 @ X1) @ nil) = (X1))
% 126.57/18.88 | ((cons @ X0 @ nil) != (X1))
% 126.57/18.88 | ~ (ssItem @ X0)
% 126.57/18.88 | ~ (ssList @ X1))),
% 126.57/18.88 inference('simplify', [status(thm)], [zip_derived_cl1402])).
% 126.57/18.88 thf(zip_derived_cl1551, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 (((nil) = (sk2))
% 126.57/18.88 | ((cons @ (skaf44 @ X0) @ nil) = (X0))
% 126.57/18.88 | ((sk1) != (X0))
% 126.57/18.88 | ~ (ssItem @ sk5)
% 126.57/18.88 | ~ (ssList @ X0))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1450, zip_derived_cl1550])).
% 126.57/18.88 thf(co1_7, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 ) ))).
% 126.57/18.88 thf(zf_stmt_6, negated_conjecture,
% 126.57/18.88 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_7])).
% 126.57/18.88 thf(zip_derived_cl191, plain, ((((nil) = (sk4)) | (ssItem @ sk5))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 126.57/18.88 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 126.57/18.88 thf(zip_derived_cl1463, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 126.57/18.88 thf(zip_derived_cl1554, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | ((sk1) != (X0))
% 126.57/18.88 | ((cons @ (skaf44 @ X0) @ nil) = (X0))
% 126.57/18.88 | ((nil) = (sk2)))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1551, zip_derived_cl1463])).
% 126.57/18.88 thf(clause98, axiom,
% 126.57/18.88 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 126.57/18.88 ( ~( ssList @ V ) ))).
% 126.57/18.88 thf(zip_derived_cl97, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause98])).
% 126.57/18.88 thf(zip_derived_cl1556, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 (((nil) = (sk2))
% 126.57/18.88 | ((sk1) != (X0))
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ((X0) != (nil))
% 126.57/18.88 | ~ (ssItem @ (skaf44 @ X0))
% 126.57/18.88 | ~ (ssList @ nil))),
% 126.57/18.88 inference('s_sup-', [status(thm)], [zip_derived_cl1554, zip_derived_cl97])).
% 126.57/18.88 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 126.57/18.88 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause47])).
% 126.57/18.88 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 126.57/18.88 inference('cnf', [status(esa)], [clause8])).
% 126.57/18.88 thf(zip_derived_cl1563, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 (((nil) = (sk2)) | ((sk1) != (X0)) | ~ (ssList @ X0) | ((X0) != (nil)))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl1556, zip_derived_cl46, zip_derived_cl7])).
% 126.57/18.88 thf(zip_derived_cl1569, plain,
% 126.57/18.88 ((((sk1) != (nil)) | ~ (ssList @ sk1) | ((nil) = (sk2)))),
% 126.57/18.88 inference('eq_res', [status(thm)], [zip_derived_cl1563])).
% 126.57/18.88 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 126.57/18.88 thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_1])).
% 126.57/18.88 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 126.57/18.88 thf(zip_derived_cl1570, plain, ((((sk1) != (nil)) | ((nil) = (sk2)))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl1569, zip_derived_cl185])).
% 126.57/18.88 thf(co1_17, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 126.57/18.88 thf(zf_stmt_8, negated_conjecture,
% 126.57/18.88 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_17])).
% 126.57/18.88 thf(zip_derived_cl201, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_8])).
% 126.57/18.88 thf(clause115, axiom,
% 126.57/18.88 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 126.57/18.88 ( ~( ssList @ U ) ))).
% 126.57/18.88 thf(zip_derived_cl114, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (((X1) != (X0))
% 126.57/18.88 | ~ (neq @ X1 @ X0)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (ssList @ X1))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause115])).
% 126.57/18.88 thf(zip_derived_cl1442, plain,
% 126.57/18.88 ((((nil) != (sk1))
% 126.57/18.88 | ~ (ssList @ sk2)
% 126.57/18.88 | ~ (ssList @ nil)
% 126.57/18.88 | ((sk2) != (nil)))),
% 126.57/18.88 inference('dp-resolution', [status(thm)],
% 126.57/18.88 [zip_derived_cl201, zip_derived_cl114])).
% 126.57/18.88 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 126.57/18.88 thf(zf_stmt_9, negated_conjecture, (ssList @ sk2),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_2])).
% 126.57/18.88 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 126.57/18.88 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 126.57/18.88 inference('cnf', [status(esa)], [clause8])).
% 126.57/18.88 thf(zip_derived_cl1460, plain, ((((nil) != (sk1)) | ((sk2) != (nil)))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl1442, zip_derived_cl186, zip_derived_cl7])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl1647, plain, ((~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1646, zip_derived_cl1598])).
% 126.57/18.88 thf(zip_derived_cl1667, plain, ((((nil) = (sk1)) | ((hd @ sk1) = (sk5)))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1464, zip_derived_cl1647])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl1668, plain, (((hd @ sk1) = (sk5))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1667, zip_derived_cl1598])).
% 126.57/18.88 thf(clause104, axiom,
% 126.57/18.88 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 126.57/18.88 ( ( nil ) = ( U ) ))).
% 126.57/18.88 thf(zip_derived_cl103, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 126.57/18.88 | ((nil) = (X0)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause104])).
% 126.57/18.88 thf(zip_derived_cl1682, plain,
% 126.57/18.88 ((~ (ssList @ sk1)
% 126.57/18.88 | ((cons @ sk5 @ (tl @ sk1)) = (sk1))
% 126.57/18.88 | ((nil) = (sk1)))),
% 126.57/18.88 inference('s_sup+', [status(thm)],
% 126.57/18.88 [zip_derived_cl1668, zip_derived_cl103])).
% 126.57/18.88 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 126.57/18.88 thf(zip_derived_cl1464, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 126.57/18.88 thf(zip_derived_cl1451, plain,
% 126.57/18.88 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl196, zip_derived_cl190, zip_derived_cl190])).
% 126.57/18.88 thf(clause96, axiom,
% 126.57/18.88 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 126.57/18.88 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 126.57/18.88 thf(zip_derived_cl95, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause96])).
% 126.57/18.88 thf(zip_derived_cl1603, plain,
% 126.57/18.88 ((((nil) = (sk1))
% 126.57/18.88 | ~ (ssItem @ sk5)
% 126.57/18.88 | ~ (ssList @ nil)
% 126.57/18.88 | ((tl @ sk1) = (nil)))),
% 126.57/18.88 inference('s_sup+', [status(thm)], [zip_derived_cl1451, zip_derived_cl95])).
% 126.57/18.88 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 126.57/18.88 inference('cnf', [status(esa)], [clause8])).
% 126.57/18.88 thf(zip_derived_cl1607, plain,
% 126.57/18.88 ((((nil) = (sk1)) | ~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl1603, zip_derived_cl7])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl1608, plain, ((~ (ssItem @ sk5) | ((tl @ sk1) = (nil)))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1607, zip_derived_cl1598])).
% 126.57/18.88 thf(zip_derived_cl1610, plain, ((((nil) = (sk1)) | ((tl @ sk1) = (nil)))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1464, zip_derived_cl1608])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl1611, plain, (((tl @ sk1) = (nil))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1610, zip_derived_cl1598])).
% 126.57/18.88 thf(zip_derived_cl1685, plain,
% 126.57/18.88 ((((cons @ sk5 @ nil) = (sk1)) | ((nil) = (sk1)))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl1682, zip_derived_cl185, zip_derived_cl1611])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl1686, plain, (((cons @ sk5 @ nil) = (sk1))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1685, zip_derived_cl1598])).
% 126.57/18.88 thf(zip_derived_cl168, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (memberP @ X0 @ X1)
% 126.57/18.88 | ~ (ssItem @ X1)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 126.57/18.88 = (X0)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause169])).
% 126.57/18.88 thf(clause72, axiom,
% 126.57/18.88 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 126.57/18.88 thf(zip_derived_cl71, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause72])).
% 126.57/18.88 thf(clause179, axiom,
% 126.57/18.88 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 126.57/18.88 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 126.57/18.88 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 126.57/18.88 thf(zip_derived_cl178, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 126.57/18.88 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 126.57/18.88 | ~ (ssList @ X4)
% 126.57/18.88 | ~ (ssList @ X3)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ~ (ssItem @ X2)
% 126.57/18.88 | ~ (duplicatefreeP @ X0)
% 126.57/18.88 | ~ (ssList @ X0))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause179])).
% 126.57/18.88 thf(zip_derived_cl1405, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 126.57/18.88 ( (ssItem @ X1)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (ssItem @ X3)
% 126.57/18.88 | ~ (ssList @ X5)
% 126.57/18.88 | ~ (ssList @ X4)
% 126.57/18.88 | ~ (ssList @ X2)
% 126.57/18.88 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 126.57/18.88 inference('dp-resolution', [status(thm)],
% 126.57/18.88 [zip_derived_cl71, zip_derived_cl178])).
% 126.57/18.88 thf(zip_derived_cl3945, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 126.57/18.88 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 126.57/18.88 | ~ (ssList @ X2)
% 126.57/18.88 | ~ (ssList @ X4)
% 126.57/18.88 | ~ (ssList @ X5)
% 126.57/18.88 | ~ (ssItem @ X3)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | (ssItem @ X1))),
% 126.57/18.88 inference('simplify', [status(thm)], [zip_derived_cl1405])).
% 126.57/18.88 thf(zip_derived_cl3959, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | ~ (ssItem @ X3)
% 126.57/18.88 | ~ (memberP @ X0 @ X3)
% 126.57/18.88 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 126.57/18.88 | ~ (ssList @ X2)
% 126.57/18.88 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 126.57/18.88 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 126.57/18.88 | ~ (ssItem @ X3)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | (ssItem @ X4))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl168, zip_derived_cl3945])).
% 126.57/18.88 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 126.57/18.88 thf(zip_derived_cl51, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause52])).
% 126.57/18.88 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 126.57/18.88 thf(zip_derived_cl52, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause53])).
% 126.57/18.88 thf(zip_derived_cl3987, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | ~ (ssItem @ X3)
% 126.57/18.88 | ~ (memberP @ X0 @ X3)
% 126.57/18.88 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 126.57/18.88 | ~ (ssList @ X2)
% 126.57/18.88 | ~ (ssItem @ X3)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | (ssItem @ X4))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl3959, zip_derived_cl51, zip_derived_cl52])).
% 126.57/18.88 thf(zip_derived_cl3988, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 126.57/18.88 ( (ssItem @ X4)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ~ (ssList @ X2)
% 126.57/18.88 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 126.57/18.88 | ~ (memberP @ X0 @ X3)
% 126.57/18.88 | ~ (ssItem @ X3)
% 126.57/18.88 | ~ (ssList @ X0))),
% 126.57/18.88 inference('simplify', [status(thm)], [zip_derived_cl3987])).
% 126.57/18.88 thf(zip_derived_cl4342, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 126.57/18.88 ( (ssItem @ X2)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (ssList @ nil)
% 126.57/18.88 | ((app @ X1 @ sk1) != (X0))
% 126.57/18.88 | ~ (memberP @ X1 @ sk5)
% 126.57/18.88 | ~ (ssItem @ sk5)
% 126.57/18.88 | ~ (ssList @ X1))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1686, zip_derived_cl3988])).
% 126.57/18.88 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 126.57/18.88 inference('cnf', [status(esa)], [clause8])).
% 126.57/18.88 thf(zip_derived_cl1668, plain, (((hd @ sk1) = (sk5))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1667, zip_derived_cl1598])).
% 126.57/18.88 thf(clause76, axiom,
% 126.57/18.88 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 126.57/18.88 thf(zip_derived_cl75, plain,
% 126.57/18.88 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause76])).
% 126.57/18.88 thf(zip_derived_cl1681, plain,
% 126.57/18.88 ((~ (ssList @ sk1) | (ssItem @ sk5) | ((nil) = (sk1)))),
% 126.57/18.88 inference('s_sup+', [status(thm)], [zip_derived_cl1668, zip_derived_cl75])).
% 126.57/18.88 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 126.57/18.88 thf(zip_derived_cl1683, plain, (( (ssItem @ sk5) | ((nil) = (sk1)))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl1681, zip_derived_cl185])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl1684, plain, ( (ssItem @ sk5)),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1683, zip_derived_cl1598])).
% 126.57/18.88 thf(zip_derived_cl4360, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 126.57/18.88 ( (ssItem @ X2)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ((app @ X1 @ sk1) != (X0))
% 126.57/18.88 | ~ (memberP @ X1 @ sk5)
% 126.57/18.88 | ~ (ssList @ X1))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl4342, zip_derived_cl7, zip_derived_cl1684])).
% 126.57/18.88 thf(zip_derived_cl4746, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (((nil) = (sk1))
% 126.57/18.88 | (ssItem @ X0)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ((app @ sk2 @ sk1) != (X1))
% 126.57/18.88 | ~ (ssList @ sk2))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1473, zip_derived_cl4360])).
% 126.57/18.88 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 126.57/18.88 thf(zip_derived_cl4751, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (((nil) = (sk1))
% 126.57/18.88 | (ssItem @ X0)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ((app @ sk2 @ sk1) != (X1)))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl4746, zip_derived_cl186])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl4752, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk2 @ sk1) != (X1)))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl4751, zip_derived_cl1598])).
% 126.57/18.88 thf(zip_derived_cl4816, plain,
% 126.57/18.88 (![X0 : $i]: (~ (ssList @ (app @ sk2 @ sk1)) | (ssItem @ X0))),
% 126.57/18.88 inference('eq_res', [status(thm)], [zip_derived_cl4752])).
% 126.57/18.88 thf(zip_derived_cl4822, plain,
% 126.57/18.88 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 126.57/18.88 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4816])).
% 126.57/18.88 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 126.57/18.88 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 126.57/18.88 thf(zip_derived_cl4824, plain, (![X0 : $i]: (ssItem @ X0)),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl4822, zip_derived_cl186, zip_derived_cl185])).
% 126.57/18.88 thf(zip_derived_cl4927, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (memberP @ X0 @ X1)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 126.57/18.88 = (X0)))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl4824])).
% 126.57/18.88 thf(zip_derived_cl1686, plain, (((cons @ sk5 @ nil) = (sk1))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1685, zip_derived_cl1598])).
% 126.57/18.88 thf(clause120, axiom,
% 126.57/18.88 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 126.57/18.88 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 126.57/18.88 thf(zip_derived_cl119, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssItem @ X0)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause120])).
% 126.57/18.88 thf(zip_derived_cl1765, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 (~ (ssItem @ sk5)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 126.57/18.88 inference('s_sup+', [status(thm)],
% 126.57/18.88 [zip_derived_cl1686, zip_derived_cl119])).
% 126.57/18.88 thf(zip_derived_cl1684, plain, ( (ssItem @ sk5)),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1683, zip_derived_cl1598])).
% 126.57/18.88 thf(zip_derived_cl1769, plain,
% 126.57/18.88 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl1765, zip_derived_cl1684])).
% 126.57/18.88 thf(clause149, axiom,
% 126.57/18.88 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 126.57/18.88 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 126.57/18.88 thf(zip_derived_cl148, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ~ (ssList @ X2)
% 126.57/18.88 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause149])).
% 126.57/18.88 thf(clause173, axiom,
% 126.57/18.88 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 126.57/18.88 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 126.57/18.88 ( segmentP @ X @ V ))).
% 126.57/18.88 thf(zip_derived_cl172, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 126.57/18.88 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 126.57/18.88 | ~ (ssList @ X3)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ~ (ssList @ X2)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | (segmentP @ X0 @ X2))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause173])).
% 126.57/18.88 thf(zip_derived_cl3317, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 126.57/18.88 (~ (ssList @ X2)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (ssList @ X2)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ~ (ssList @ X3)
% 126.57/18.88 | (segmentP @ X3 @ X1))),
% 126.57/18.88 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 126.57/18.88 thf(zip_derived_cl3341, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 126.57/18.88 ( (segmentP @ X3 @ X1)
% 126.57/18.88 | ~ (ssList @ X3)
% 126.57/18.88 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ~ (ssList @ X2))),
% 126.57/18.88 inference('simplify', [status(thm)], [zip_derived_cl3317])).
% 126.57/18.88 thf(zip_derived_cl7439, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | (segmentP @ X1 @ sk1)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (ssList @ sk1)
% 126.57/18.88 | ~ (ssList @ X2))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl1769, zip_derived_cl3341])).
% 126.57/18.88 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 126.57/18.88 thf(zip_derived_cl7474, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | (segmentP @ X1 @ sk1)
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (ssList @ X2))),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl7439, zip_derived_cl185])).
% 126.57/18.88 thf(zip_derived_cl7475, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 126.57/18.88 (~ (ssList @ X2)
% 126.57/18.88 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | (segmentP @ X1 @ sk1)
% 126.57/18.88 | ~ (ssList @ X0))),
% 126.57/18.88 inference('simplify', [status(thm)], [zip_derived_cl7474])).
% 126.57/18.88 thf(zip_derived_cl79333, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | ~ (memberP @ X0 @ sk5)
% 126.57/18.88 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 126.57/18.88 | ((X0) != (X1))
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | (segmentP @ X1 @ sk1)
% 126.57/18.88 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl4927, zip_derived_cl7475])).
% 126.57/18.88 thf(zip_derived_cl52, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause53])).
% 126.57/18.88 thf(zip_derived_cl51, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause52])).
% 126.57/18.88 thf(zip_derived_cl79389, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssList @ X0)
% 126.57/18.88 | ~ (memberP @ X0 @ sk5)
% 126.57/18.88 | ((X0) != (X1))
% 126.57/18.88 | ~ (ssList @ X1)
% 126.57/18.88 | (segmentP @ X1 @ sk1))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl79333, zip_derived_cl52, zip_derived_cl51])).
% 126.57/18.88 thf(zip_derived_cl79597, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 ( (segmentP @ X0 @ sk1)
% 126.57/18.88 | ~ (ssList @ X0)
% 126.57/18.88 | ~ (memberP @ X0 @ sk5)
% 126.57/18.88 | ~ (ssList @ X0))),
% 126.57/18.88 inference('eq_res', [status(thm)], [zip_derived_cl79389])).
% 126.57/18.88 thf(zip_derived_cl79598, plain,
% 126.57/18.88 (![X0 : $i]:
% 126.57/18.88 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 126.57/18.88 inference('simplify', [status(thm)], [zip_derived_cl79597])).
% 126.57/18.88 thf(clause100, axiom,
% 126.57/18.88 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 126.57/18.88 ( ( V ) = ( U ) ))).
% 126.57/18.88 thf(zip_derived_cl99, plain,
% 126.57/18.88 (![X0 : $i, X1 : $i]:
% 126.57/18.88 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause100])).
% 126.57/18.88 thf(co1_16, conjecture,
% 126.57/18.88 (~( ( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 126.57/18.88 ( ( nil ) = ( sk2 ) ) ))).
% 126.57/18.88 thf(zf_stmt_10, negated_conjecture,
% 126.57/18.88 (( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 126.57/18.88 ( ( nil ) = ( sk2 ) )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_16])).
% 126.57/18.88 thf(zip_derived_cl200, plain,
% 126.57/18.88 ((~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil) | ((nil) = (sk2)))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_10])).
% 126.57/18.88 thf(zip_derived_cl1428, plain,
% 126.57/18.88 ((((sk1) = (nil))
% 126.57/18.88 | ~ (ssList @ sk1)
% 126.57/18.88 | ~ (ssList @ nil)
% 126.57/18.88 | ((nil) = (sk2))
% 126.57/18.88 | ~ (segmentP @ sk2 @ sk1))),
% 126.57/18.88 inference('dp-resolution', [status(thm)],
% 126.57/18.88 [zip_derived_cl99, zip_derived_cl200])).
% 126.57/18.88 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 126.57/18.88 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 126.57/18.88 inference('cnf', [status(esa)], [clause8])).
% 126.57/18.88 thf(zip_derived_cl1474, plain,
% 126.57/18.88 ((((sk1) = (nil)) | ((nil) = (sk2)) | ~ (segmentP @ sk2 @ sk1))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl1428, zip_derived_cl185, zip_derived_cl7])).
% 126.57/18.88 thf(zip_derived_cl79853, plain,
% 126.57/18.88 ((~ (ssList @ sk2)
% 126.57/18.88 | ~ (memberP @ sk2 @ sk5)
% 126.57/18.88 | ((sk1) = (nil))
% 126.57/18.88 | ((nil) = (sk2)))),
% 126.57/18.88 inference('s_sup-', [status(thm)],
% 126.57/18.88 [zip_derived_cl79598, zip_derived_cl1474])).
% 126.57/18.88 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 126.57/18.88 thf(zip_derived_cl79885, plain,
% 126.57/18.88 ((~ (memberP @ sk2 @ sk5) | ((sk1) = (nil)) | ((nil) = (sk2)))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl79853, zip_derived_cl186])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl79886, plain,
% 126.57/18.88 ((~ (memberP @ sk2 @ sk5) | ((nil) = (sk2)))),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl79885, zip_derived_cl1598])).
% 126.57/18.88 thf(co1_10, conjecture,
% 126.57/18.88 (~( ( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 126.57/18.88 thf(zf_stmt_11, negated_conjecture,
% 126.57/18.88 (( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 )),
% 126.57/18.88 inference('cnf.neg', [status(esa)], [co1_10])).
% 126.57/18.88 thf(zip_derived_cl194, plain, ((((nil) = (sk4)) | (memberP @ sk4 @ sk5))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_11])).
% 126.57/18.88 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 126.57/18.88 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 126.57/18.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 126.57/18.88 thf(zip_derived_cl1472, plain, ((((nil) = (sk2)) | (memberP @ sk2 @ sk5))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl189])).
% 126.57/18.88 thf(zip_derived_cl79968, plain, (((nil) = (sk2))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl79886, zip_derived_cl1472])).
% 126.57/18.88 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 126.57/18.88 thf(zip_derived_cl70, plain,
% 126.57/18.88 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 126.57/18.88 inference('cnf', [status(esa)], [clause71])).
% 126.57/18.88 thf(zip_derived_cl4824, plain, (![X0 : $i]: (ssItem @ X0)),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl4822, zip_derived_cl186, zip_derived_cl185])).
% 126.57/18.88 thf(zip_derived_cl4892, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 126.57/18.88 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl4824])).
% 126.57/18.88 thf(zip_derived_cl79971, plain, (((nil) = (sk1))),
% 126.57/18.88 inference('demod', [status(thm)],
% 126.57/18.88 [zip_derived_cl1473, zip_derived_cl79968, zip_derived_cl4892])).
% 126.57/18.88 thf(zip_derived_cl1598, plain, (((sk1) != (nil))),
% 126.57/18.88 inference('clc', [status(thm)], [zip_derived_cl1570, zip_derived_cl1460])).
% 126.57/18.88 thf(zip_derived_cl79972, plain, ($false),
% 126.57/18.88 inference('simplify_reflect-', [status(thm)],
% 126.57/18.88 [zip_derived_cl79971, zip_derived_cl1598])).
% 126.57/18.88
% 126.57/18.88 % SZS output end Refutation
% 126.57/18.88
% 126.57/18.88
% 126.57/18.88 % Terminating...
% 127.23/18.96 % Runner terminated.
% 127.23/18.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------