TSTP Solution File: SWC053-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC053-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8BqXRnNI1s 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 21:28:48 EDT 2023
% Result : Unsatisfiable 0.54s 1.09s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC053-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8BqXRnNI1s true
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 16:56:24 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/1.09 % Solved by fo/fo6_bce.sh.
% 0.54/1.09 % BCE start: 203
% 0.54/1.09 % BCE eliminated: 0
% 0.54/1.09 % PE start: 203
% 0.54/1.09 logic: eq
% 0.54/1.09 % PE eliminated: -2
% 0.54/1.09 % done 357 iterations in 0.382s
% 0.54/1.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/1.09 % SZS output start Refutation
% 0.54/1.09 thf(nil_type, type, nil: $i).
% 0.54/1.09 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 0.54/1.09 thf(sk2_type, type, sk2: $i).
% 0.54/1.09 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 0.54/1.09 thf(sk4_type, type, sk4: $i).
% 0.54/1.09 thf(sk5_type, type, sk5: $i).
% 0.54/1.09 thf(sk3_type, type, sk3: $i).
% 0.54/1.09 thf(neq_type, type, neq: $i > $i > $o).
% 0.54/1.09 thf(app_type, type, app: $i > $i > $i).
% 0.54/1.09 thf(ssList_type, type, ssList: $i > $o).
% 0.54/1.09 thf(sk1_type, type, sk1: $i).
% 0.54/1.09 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 0.54/1.09 thf(co1_12, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( neq @ sk5 @ nil ) ))).
% 0.54/1.09 thf(zf_stmt_0, negated_conjecture,
% 0.54/1.09 (( ( nil ) = ( sk3 ) ) | ( neq @ sk5 @ nil )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.54/1.09 thf(zip_derived_cl196, plain, ((((nil) = (sk3)) | (neq @ sk5 @ nil))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/1.09 thf(clause115, axiom,
% 0.54/1.09 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 0.54/1.09 ( ~( ssList @ U ) ))).
% 0.54/1.09 thf(zip_derived_cl114, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (((X1) != (X0))
% 0.54/1.09 | ~ (neq @ X1 @ X0)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause115])).
% 0.54/1.09 thf(zip_derived_cl1434, plain,
% 0.54/1.09 ((((nil) = (sk3))
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (ssList @ nil)
% 0.54/1.09 | ((sk5) != (nil)))),
% 0.54/1.09 inference('dp-resolution', [status(thm)],
% 0.54/1.09 [zip_derived_cl196, zip_derived_cl114])).
% 0.54/1.09 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.54/1.09 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.54/1.09 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/1.09 thf(clause8, axiom, (ssList @ nil)).
% 0.54/1.09 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.54/1.09 inference('cnf', [status(esa)], [clause8])).
% 0.54/1.09 thf(zip_derived_cl1467, plain,
% 0.54/1.09 ((((nil) = (sk1)) | ~ (ssList @ sk5) | ((sk5) != (nil)))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl1434, zip_derived_cl190, zip_derived_cl7])).
% 0.54/1.09 thf(co1_8, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssList @ sk5 ) ))).
% 0.54/1.09 thf(zf_stmt_2, negated_conjecture,
% 0.54/1.09 (( ( nil ) = ( sk3 ) ) | ( ssList @ sk5 )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.54/1.09 thf(zip_derived_cl192, plain, ((((nil) = (sk3)) | (ssList @ sk5))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/1.09 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/1.09 thf(zip_derived_cl1464, plain, ((((nil) = (sk1)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 0.54/1.09 thf(zip_derived_cl1468, plain, ((((sk5) != (nil)) | ((nil) = (sk1)))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl1467, zip_derived_cl1464])).
% 0.54/1.09 thf(clause83, axiom,
% 0.54/1.09 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( frontsegP @ nil @ U ))).
% 0.54/1.09 thf(zip_derived_cl82, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ nil @ X0))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause83])).
% 0.54/1.09 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 0.54/1.09 thf(zip_derived_cl73, plain,
% 0.54/1.09 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause74])).
% 0.54/1.09 thf(clause137, axiom,
% 0.54/1.09 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) |
% 0.54/1.09 ( ~( ssList @ U ) ) | ( frontsegP @ ( app @ U @ W ) @ V ))).
% 0.54/1.09 thf(zip_derived_cl136, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (~ (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | (frontsegP @ (app @ X0 @ X2) @ X1))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause137])).
% 0.54/1.09 thf(zip_derived_cl2047, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ~ (frontsegP @ nil @ X1)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ nil)
% 0.54/1.09 | (frontsegP @ X0 @ X1))),
% 0.54/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl136])).
% 0.54/1.09 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.54/1.09 inference('cnf', [status(esa)], [clause8])).
% 0.54/1.09 thf(zip_derived_cl2057, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ~ (frontsegP @ nil @ X1)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | (frontsegP @ X0 @ X1))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2047, zip_derived_cl7])).
% 0.54/1.09 thf(zip_derived_cl2058, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 ( (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (frontsegP @ nil @ X1)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl2057])).
% 0.54/1.09 thf(zip_derived_cl2089, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ((nil) != (X0))
% 0.54/1.09 | (frontsegP @ X1 @ X0)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1))),
% 0.54/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl2058])).
% 0.54/1.09 thf(zip_derived_cl2093, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (~ (ssList @ X1)
% 0.54/1.09 | (frontsegP @ X1 @ X0)
% 0.54/1.09 | ((nil) != (X0))
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl2089])).
% 0.54/1.09 thf(zip_derived_cl1464, plain, ((((nil) = (sk1)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 0.54/1.09 thf(zip_derived_cl1464, plain, ((((nil) = (sk1)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl190])).
% 0.54/1.09 thf(co1_13, conjecture,
% 0.54/1.09 (~( ( ( nil ) = ( sk3 ) ) | ( frontsegP @ sk4 @ sk5 ) ))).
% 0.54/1.09 thf(zf_stmt_3, negated_conjecture,
% 0.54/1.09 (( ( nil ) = ( sk3 ) ) | ( frontsegP @ sk4 @ sk5 )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.54/1.09 thf(zip_derived_cl197, plain, ((((nil) = (sk3)) | (frontsegP @ sk4 @ sk5))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/1.09 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/1.09 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.54/1.09 thf(zf_stmt_4, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.54/1.09 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.09 thf(zip_derived_cl1471, plain,
% 0.54/1.09 ((((nil) = (sk1)) | (frontsegP @ sk2 @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl189])).
% 0.54/1.09 thf(clause132, axiom,
% 0.54/1.09 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 0.54/1.09 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 0.54/1.09 thf(zip_derived_cl131, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (~ (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause132])).
% 0.54/1.09 thf(zip_derived_cl136, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (~ (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | (frontsegP @ (app @ X0 @ X2) @ X1))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause137])).
% 0.54/1.09 thf(zip_derived_cl2046, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X2)
% 0.54/1.09 | ~ (frontsegP @ X2 @ X1)
% 0.54/1.09 | ~ (ssList @ (skaf45 @ X0 @ X2))
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | (frontsegP @ X0 @ X1))),
% 0.54/1.09 inference('s_sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl136])).
% 0.54/1.09 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 0.54/1.09 thf(zip_derived_cl50, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause51])).
% 0.54/1.09 thf(zip_derived_cl2055, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X2)
% 0.54/1.09 | ~ (frontsegP @ X2 @ X1)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | (frontsegP @ X0 @ X1))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2046, zip_derived_cl50])).
% 0.54/1.09 thf(zip_derived_cl2056, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 ( (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (frontsegP @ X2 @ X1)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X2)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl2055])).
% 0.54/1.09 thf(zip_derived_cl2072, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((nil) = (sk1))
% 0.54/1.09 | (frontsegP @ X0 @ sk5)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (frontsegP @ X0 @ sk2)
% 0.54/1.09 | ~ (ssList @ sk2)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('s_sup-', [status(thm)],
% 0.54/1.09 [zip_derived_cl1471, zip_derived_cl2056])).
% 0.54/1.09 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 0.54/1.09 thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_2])).
% 0.54/1.09 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/1.09 thf(zip_derived_cl2086, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((nil) = (sk1))
% 0.54/1.09 | (frontsegP @ X0 @ sk5)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (frontsegP @ X0 @ sk2)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2072, zip_derived_cl186])).
% 0.54/1.09 thf(zip_derived_cl82, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ nil @ X0))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause83])).
% 0.54/1.09 thf(co1_11, conjecture,
% 0.54/1.09 (~( ( ( nil ) = ( sk4 ) ) | ( frontsegP @ sk3 @ sk5 ) ))).
% 0.54/1.09 thf(zf_stmt_6, negated_conjecture,
% 0.54/1.09 (( ( nil ) = ( sk4 ) ) | ( frontsegP @ sk3 @ sk5 )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.54/1.09 thf(zip_derived_cl195, plain, ((((nil) = (sk4)) | (frontsegP @ sk3 @ sk5))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/1.09 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.09 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/1.09 thf(zip_derived_cl1470, plain,
% 0.54/1.09 ((((nil) = (sk2)) | (frontsegP @ sk1 @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl190])).
% 0.54/1.09 thf(zip_derived_cl2056, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 ( (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (frontsegP @ X2 @ X1)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X2)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl2055])).
% 0.54/1.09 thf(zip_derived_cl2069, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((nil) = (sk2))
% 0.54/1.09 | (frontsegP @ X0 @ sk5)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (frontsegP @ X0 @ sk1)
% 0.54/1.09 | ~ (ssList @ sk1)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('s_sup-', [status(thm)],
% 0.54/1.09 [zip_derived_cl1470, zip_derived_cl2056])).
% 0.54/1.09 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 0.54/1.09 thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_1])).
% 0.54/1.09 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/1.09 thf(zip_derived_cl2083, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((nil) = (sk2))
% 0.54/1.09 | (frontsegP @ X0 @ sk5)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (frontsegP @ X0 @ sk1)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2069, zip_derived_cl185])).
% 0.54/1.09 thf(co1_7, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssList @ sk5 ) ))).
% 0.54/1.09 thf(zf_stmt_8, negated_conjecture,
% 0.54/1.09 (( ( nil ) = ( sk4 ) ) | ( ssList @ sk5 )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.54/1.09 thf(zip_derived_cl191, plain, ((((nil) = (sk4)) | (ssList @ sk5))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/1.09 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.09 thf(zip_derived_cl1461, plain, ((((nil) = (sk2)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 0.54/1.09 thf(zip_derived_cl2094, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ~ (frontsegP @ X0 @ sk1)
% 0.54/1.09 | (frontsegP @ X0 @ sk5)
% 0.54/1.09 | ((nil) = (sk2)))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl2083, zip_derived_cl1461])).
% 0.54/1.09 thf(clause84, axiom,
% 0.54/1.09 (( ~( frontsegP @ nil @ U ) ) | ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.54/1.09 thf(zip_derived_cl83, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (~ (frontsegP @ nil @ X0) | ~ (ssList @ X0) | ((nil) = (X0)))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause84])).
% 0.54/1.09 thf(zip_derived_cl2097, plain,
% 0.54/1.09 ((((nil) = (sk2))
% 0.54/1.09 | ~ (frontsegP @ nil @ sk1)
% 0.54/1.09 | ~ (ssList @ nil)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ((nil) = (sk5)))),
% 0.54/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl2094, zip_derived_cl83])).
% 0.54/1.09 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.54/1.09 inference('cnf', [status(esa)], [clause8])).
% 0.54/1.09 thf(zip_derived_cl2101, plain,
% 0.54/1.09 ((((nil) = (sk2))
% 0.54/1.09 | ~ (frontsegP @ nil @ sk1)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ((nil) = (sk5)))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2097, zip_derived_cl7])).
% 0.54/1.09 thf(zip_derived_cl1461, plain, ((((nil) = (sk2)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 0.54/1.09 thf(zip_derived_cl2106, plain,
% 0.54/1.09 ((((nil) = (sk5)) | ~ (frontsegP @ nil @ sk1) | ((nil) = (sk2)))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl2101, zip_derived_cl1461])).
% 0.54/1.09 thf(co1_9, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( neq @ sk5 @ nil ) ))).
% 0.54/1.09 thf(zf_stmt_9, negated_conjecture,
% 0.54/1.09 (( ( nil ) = ( sk4 ) ) | ( neq @ sk5 @ nil )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.54/1.09 thf(zip_derived_cl193, plain, ((((nil) = (sk4)) | (neq @ sk5 @ nil))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/1.09 thf(zip_derived_cl114, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (((X1) != (X0))
% 0.54/1.09 | ~ (neq @ X1 @ X0)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause115])).
% 0.54/1.09 thf(zip_derived_cl1426, plain,
% 0.54/1.09 ((((nil) = (sk4))
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (ssList @ nil)
% 0.54/1.09 | ((sk5) != (nil)))),
% 0.54/1.09 inference('dp-resolution', [status(thm)],
% 0.54/1.09 [zip_derived_cl193, zip_derived_cl114])).
% 0.54/1.09 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.09 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.54/1.09 inference('cnf', [status(esa)], [clause8])).
% 0.54/1.09 thf(zip_derived_cl1465, plain,
% 0.54/1.09 ((((nil) = (sk2)) | ~ (ssList @ sk5) | ((sk5) != (nil)))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl1426, zip_derived_cl189, zip_derived_cl7])).
% 0.54/1.09 thf(zip_derived_cl1461, plain, ((((nil) = (sk2)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 0.54/1.09 thf(zip_derived_cl1466, plain, ((((sk5) != (nil)) | ((nil) = (sk2)))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl1465, zip_derived_cl1461])).
% 0.54/1.09 thf(zip_derived_cl2107, plain,
% 0.54/1.09 ((((nil) = (sk2)) | ~ (frontsegP @ nil @ sk1))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl2106, zip_derived_cl1466])).
% 0.54/1.09 thf(zip_derived_cl2108, plain,
% 0.54/1.09 ((~ (ssList @ sk1) | ((nil) != (sk1)) | ((nil) = (sk2)))),
% 0.54/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl2107])).
% 0.54/1.09 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/1.09 thf(zip_derived_cl2109, plain, ((((nil) != (sk1)) | ((nil) = (sk2)))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2108, zip_derived_cl185])).
% 0.54/1.09 thf(co1_17, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 0.54/1.09 thf(zf_stmt_10, negated_conjecture,
% 0.54/1.09 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.54/1.09 thf(zip_derived_cl201, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/1.09 thf(zip_derived_cl114, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (((X1) != (X0))
% 0.54/1.09 | ~ (neq @ X1 @ X0)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause115])).
% 0.54/1.09 thf(zip_derived_cl1450, plain,
% 0.54/1.09 ((((nil) != (sk1))
% 0.54/1.09 | ~ (ssList @ sk2)
% 0.54/1.09 | ~ (ssList @ nil)
% 0.54/1.09 | ((sk2) != (nil)))),
% 0.54/1.09 inference('dp-resolution', [status(thm)],
% 0.54/1.09 [zip_derived_cl201, zip_derived_cl114])).
% 0.54/1.09 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/1.09 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.54/1.09 inference('cnf', [status(esa)], [clause8])).
% 0.54/1.09 thf(zip_derived_cl1460, plain, ((((nil) != (sk1)) | ((sk2) != (nil)))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl1450, zip_derived_cl186, zip_derived_cl7])).
% 0.54/1.09 thf(zip_derived_cl2110, plain, (((nil) != (sk1))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl2109, zip_derived_cl1460])).
% 0.54/1.09 thf(zip_derived_cl2599, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 ( (frontsegP @ X0 @ sk5)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (frontsegP @ X0 @ sk2)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify_reflect-', [status(thm)],
% 0.54/1.09 [zip_derived_cl2086, zip_derived_cl2110])).
% 0.54/1.09 thf(zip_derived_cl2601, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((nil) = (sk1))
% 0.54/1.09 | (frontsegP @ X0 @ sk5)
% 0.54/1.09 | ~ (frontsegP @ X0 @ sk2)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('s_sup-', [status(thm)],
% 0.54/1.09 [zip_derived_cl1464, zip_derived_cl2599])).
% 0.54/1.09 thf(zip_derived_cl2110, plain, (((nil) != (sk1))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl2109, zip_derived_cl1460])).
% 0.54/1.09 thf(zip_derived_cl2602, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 ( (frontsegP @ X0 @ sk5) | ~ (frontsegP @ X0 @ sk2) | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify_reflect-', [status(thm)],
% 0.54/1.09 [zip_derived_cl2601, zip_derived_cl2110])).
% 0.54/1.09 thf(zip_derived_cl83, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (~ (frontsegP @ nil @ X0) | ~ (ssList @ X0) | ((nil) = (X0)))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause84])).
% 0.54/1.09 thf(zip_derived_cl2605, plain,
% 0.54/1.09 ((~ (ssList @ nil)
% 0.54/1.09 | ~ (frontsegP @ nil @ sk2)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ((nil) = (sk5)))),
% 0.54/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl2602, zip_derived_cl83])).
% 0.54/1.09 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.54/1.09 inference('cnf', [status(esa)], [clause8])).
% 0.54/1.09 thf(zip_derived_cl2610, plain,
% 0.54/1.09 ((~ (frontsegP @ nil @ sk2) | ~ (ssList @ sk5) | ((nil) = (sk5)))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2605, zip_derived_cl7])).
% 0.54/1.09 thf(zip_derived_cl2614, plain,
% 0.54/1.09 ((((nil) = (sk1)) | ~ (frontsegP @ nil @ sk2) | ((nil) = (sk5)))),
% 0.54/1.09 inference('s_sup-', [status(thm)],
% 0.54/1.09 [zip_derived_cl1464, zip_derived_cl2610])).
% 0.54/1.09 thf(zip_derived_cl2110, plain, (((nil) != (sk1))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl2109, zip_derived_cl1460])).
% 0.54/1.09 thf(zip_derived_cl2615, plain,
% 0.54/1.09 ((~ (frontsegP @ nil @ sk2) | ((nil) = (sk5)))),
% 0.54/1.09 inference('simplify_reflect-', [status(thm)],
% 0.54/1.09 [zip_derived_cl2614, zip_derived_cl2110])).
% 0.54/1.09 thf(zip_derived_cl2624, plain,
% 0.54/1.09 ((~ (ssList @ sk2)
% 0.54/1.09 | ((nil) != (sk2))
% 0.54/1.09 | ~ (ssList @ nil)
% 0.54/1.09 | ((nil) = (sk5)))),
% 0.54/1.09 inference('s_sup-', [status(thm)],
% 0.54/1.09 [zip_derived_cl2093, zip_derived_cl2615])).
% 0.54/1.09 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/1.09 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.54/1.09 inference('cnf', [status(esa)], [clause8])).
% 0.54/1.09 thf(zip_derived_cl2626, plain, ((((nil) != (sk2)) | ((nil) = (sk5)))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl2624, zip_derived_cl186, zip_derived_cl7])).
% 0.54/1.09 thf(zip_derived_cl131, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (~ (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause132])).
% 0.54/1.09 thf(zip_derived_cl73, plain,
% 0.54/1.09 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause74])).
% 0.54/1.09 thf(clause173, axiom,
% 0.54/1.09 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 0.54/1.09 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 0.54/1.09 ( segmentP @ X @ V ))).
% 0.54/1.09 thf(zip_derived_cl172, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.09 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 0.54/1.09 | ~ (ssList @ X3)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | (segmentP @ X0 @ X2))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause173])).
% 0.54/1.09 thf(zip_derived_cl2922, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ((app @ X0 @ X2) != (X1))
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (ssList @ nil)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | (segmentP @ X1 @ X0))),
% 0.54/1.09 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 0.54/1.09 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.54/1.09 inference('cnf', [status(esa)], [clause8])).
% 0.54/1.09 thf(zip_derived_cl2947, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ((app @ X0 @ X2) != (X1))
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | (segmentP @ X1 @ X0))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2922, zip_derived_cl7])).
% 0.54/1.09 thf(zip_derived_cl2948, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 ( (segmentP @ X1 @ X0)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ((app @ X0 @ X2) != (X1))
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl2947])).
% 0.54/1.09 thf(zip_derived_cl2960, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X2)
% 0.54/1.09 | (segmentP @ X1 @ X2)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ (skaf45 @ X0 @ X2))
% 0.54/1.09 | ((X0) != (X1))
% 0.54/1.09 | ~ (ssList @ X2))),
% 0.54/1.09 inference('s_sup-', [status(thm)],
% 0.54/1.09 [zip_derived_cl131, zip_derived_cl2948])).
% 0.54/1.09 thf(zip_derived_cl50, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 0.54/1.09 inference('cnf', [status(esa)], [clause51])).
% 0.54/1.09 thf(zip_derived_cl2976, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X2)
% 0.54/1.09 | (segmentP @ X1 @ X2)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ((X0) != (X1))
% 0.54/1.09 | ~ (ssList @ X2))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl2960, zip_derived_cl50])).
% 0.54/1.09 thf(zip_derived_cl2977, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.09 (((X0) != (X1))
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | (segmentP @ X1 @ X2)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X2)
% 0.54/1.09 | ~ (ssList @ X2)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl2976])).
% 0.54/1.09 thf(zip_derived_cl3022, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 (~ (ssList @ X0)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X1)
% 0.54/1.09 | (segmentP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('eq_res', [status(thm)], [zip_derived_cl2977])).
% 0.54/1.09 thf(zip_derived_cl3023, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 ( (segmentP @ X0 @ X1)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl3022])).
% 0.54/1.09 thf(zip_derived_cl3023, plain,
% 0.54/1.09 (![X0 : $i, X1 : $i]:
% 0.54/1.09 ( (segmentP @ X0 @ X1)
% 0.54/1.09 | ~ (frontsegP @ X0 @ X1)
% 0.54/1.09 | ~ (ssList @ X1)
% 0.54/1.09 | ~ (ssList @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl3022])).
% 0.54/1.09 thf(zip_derived_cl193, plain, ((((nil) = (sk4)) | (neq @ sk5 @ nil))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/1.09 thf(co1_16, conjecture,
% 0.54/1.09 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 0.54/1.09 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 0.54/1.09 thf(zf_stmt_11, negated_conjecture,
% 0.54/1.09 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 0.54/1.09 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.54/1.09 thf(zip_derived_cl200, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (~ (segmentP @ sk1 @ X0)
% 0.54/1.09 | ~ (segmentP @ sk2 @ X0)
% 0.54/1.09 | ~ (neq @ X0 @ nil)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ((nil) = (sk2)))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/1.09 thf(zip_derived_cl1430, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((sk5) != (X0))
% 0.54/1.09 | ((nil) != (nil))
% 0.54/1.09 | ((nil) = (sk4))
% 0.54/1.09 | ((nil) = (sk2))
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (segmentP @ sk2 @ X0)
% 0.54/1.09 | ~ (segmentP @ sk1 @ X0))),
% 0.54/1.09 inference('dp-resolution', [status(thm)],
% 0.54/1.09 [zip_derived_cl193, zip_derived_cl200])).
% 0.54/1.09 thf(zip_derived_cl1501, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (~ (segmentP @ sk1 @ X0)
% 0.54/1.09 | ~ (segmentP @ sk2 @ X0)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ((nil) = (sk2))
% 0.54/1.09 | ((nil) = (sk4))
% 0.54/1.09 | ((sk5) != (X0)))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl1430])).
% 0.54/1.09 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.09 thf(zip_derived_cl1502, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (~ (segmentP @ sk1 @ X0)
% 0.54/1.09 | ~ (segmentP @ sk2 @ X0)
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ((nil) = (sk2))
% 0.54/1.09 | ((nil) = (sk2))
% 0.54/1.09 | ((sk5) != (X0)))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl1501, zip_derived_cl189])).
% 0.54/1.09 thf(zip_derived_cl1503, plain,
% 0.54/1.09 (![X0 : $i]:
% 0.54/1.09 (((sk5) != (X0))
% 0.54/1.09 | ((nil) = (sk2))
% 0.54/1.09 | ~ (ssList @ X0)
% 0.54/1.09 | ~ (segmentP @ sk2 @ X0)
% 0.54/1.09 | ~ (segmentP @ sk1 @ X0))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl1502])).
% 0.54/1.09 thf(zip_derived_cl1504, plain,
% 0.54/1.09 ((~ (segmentP @ sk1 @ sk5)
% 0.54/1.09 | ~ (segmentP @ sk2 @ sk5)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ((nil) = (sk2)))),
% 0.54/1.09 inference('eq_res', [status(thm)], [zip_derived_cl1503])).
% 0.54/1.09 thf(zip_derived_cl1461, plain, ((((nil) = (sk2)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 0.54/1.09 thf(zip_derived_cl1507, plain,
% 0.54/1.09 ((((nil) = (sk2)) | ~ (segmentP @ sk2 @ sk5) | ~ (segmentP @ sk1 @ sk5))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl1504, zip_derived_cl1461])).
% 0.54/1.09 thf(zip_derived_cl3061, plain,
% 0.54/1.09 ((~ (ssList @ sk2)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (frontsegP @ sk2 @ sk5)
% 0.54/1.09 | ((nil) = (sk2))
% 0.54/1.09 | ~ (segmentP @ sk1 @ sk5))),
% 0.54/1.09 inference('s_sup-', [status(thm)],
% 0.54/1.09 [zip_derived_cl3023, zip_derived_cl1507])).
% 0.54/1.09 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/1.09 thf(zip_derived_cl3073, plain,
% 0.54/1.09 ((~ (ssList @ sk5)
% 0.54/1.09 | ~ (frontsegP @ sk2 @ sk5)
% 0.54/1.09 | ((nil) = (sk2))
% 0.54/1.09 | ~ (segmentP @ sk1 @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl3061, zip_derived_cl186])).
% 0.54/1.09 thf(zip_derived_cl1461, plain, ((((nil) = (sk2)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 0.54/1.09 thf(zip_derived_cl3095, plain,
% 0.54/1.09 ((~ (segmentP @ sk1 @ sk5) | ((nil) = (sk2)) | ~ (frontsegP @ sk2 @ sk5))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl3073, zip_derived_cl1461])).
% 0.54/1.09 thf(co1_10, conjecture,
% 0.54/1.09 (~( ( ( nil ) = ( sk4 ) ) | ( frontsegP @ sk4 @ sk5 ) ))).
% 0.54/1.09 thf(zf_stmt_12, negated_conjecture,
% 0.54/1.09 (( ( nil ) = ( sk4 ) ) | ( frontsegP @ sk4 @ sk5 )),
% 0.54/1.09 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.54/1.09 thf(zip_derived_cl194, plain, ((((nil) = (sk4)) | (frontsegP @ sk4 @ sk5))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/1.09 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.09 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.09 thf(zip_derived_cl1469, plain,
% 0.54/1.09 ((((nil) = (sk2)) | (frontsegP @ sk2 @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl189])).
% 0.54/1.09 thf(zip_derived_cl3096, plain,
% 0.54/1.09 ((((nil) = (sk2)) | ~ (segmentP @ sk1 @ sk5))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl3095, zip_derived_cl1469])).
% 0.54/1.09 thf(zip_derived_cl3097, plain,
% 0.54/1.09 ((~ (ssList @ sk1)
% 0.54/1.09 | ~ (ssList @ sk5)
% 0.54/1.09 | ~ (frontsegP @ sk1 @ sk5)
% 0.54/1.09 | ((nil) = (sk2)))),
% 0.54/1.09 inference('s_sup-', [status(thm)],
% 0.54/1.09 [zip_derived_cl3023, zip_derived_cl3096])).
% 0.54/1.09 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.54/1.09 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/1.09 thf(zip_derived_cl3099, plain,
% 0.54/1.09 ((~ (ssList @ sk5) | ~ (frontsegP @ sk1 @ sk5) | ((nil) = (sk2)))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl3097, zip_derived_cl185])).
% 0.54/1.09 thf(zip_derived_cl1461, plain, ((((nil) = (sk2)) | (ssList @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 0.54/1.09 thf(zip_derived_cl3180, plain,
% 0.54/1.09 ((((nil) = (sk2)) | ~ (frontsegP @ sk1 @ sk5))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl3099, zip_derived_cl1461])).
% 0.54/1.09 thf(zip_derived_cl1470, plain,
% 0.54/1.09 ((((nil) = (sk2)) | (frontsegP @ sk1 @ sk5))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl190])).
% 0.54/1.09 thf(zip_derived_cl3181, plain, (((nil) = (sk2))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl3180, zip_derived_cl1470])).
% 0.54/1.09 thf(zip_derived_cl3193, plain, ((((nil) != (nil)) | ((nil) = (sk5)))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl2626, zip_derived_cl3181])).
% 0.54/1.09 thf(zip_derived_cl3194, plain, (((nil) = (sk5))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl3193])).
% 0.54/1.09 thf(zip_derived_cl3232, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 0.54/1.09 inference('demod', [status(thm)],
% 0.54/1.09 [zip_derived_cl1468, zip_derived_cl3194])).
% 0.54/1.09 thf(zip_derived_cl3233, plain, (((nil) = (sk1))),
% 0.54/1.09 inference('simplify', [status(thm)], [zip_derived_cl3232])).
% 0.54/1.09 thf(zip_derived_cl2110, plain, (((nil) != (sk1))),
% 0.54/1.09 inference('clc', [status(thm)], [zip_derived_cl2109, zip_derived_cl1460])).
% 0.54/1.09 thf(zip_derived_cl3234, plain, ($false),
% 0.54/1.09 inference('simplify_reflect-', [status(thm)],
% 0.54/1.09 [zip_derived_cl3233, zip_derived_cl2110])).
% 0.54/1.09
% 0.54/1.09 % SZS output end Refutation
% 0.54/1.09
% 0.54/1.09
% 0.54/1.09 % Terminating...
% 0.54/1.14 % Runner terminated.
% 0.54/1.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------