TSTP Solution File: SWC093-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC093-1 : 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.1fj7tFRXHA true
% Computer : n015.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 21:29:06 EDT 2023
% Result : Unsatisfiable 37.19s 5.94s
% Output : Refutation 37.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC093-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1fj7tFRXHA true
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 17:29:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 37.19/5.94 % Solved by fo/fo6_bce.sh.
% 37.19/5.94 % BCE start: 197
% 37.19/5.94 % BCE eliminated: 0
% 37.19/5.94 % PE start: 197
% 37.19/5.94 logic: eq
% 37.19/5.94 % PE eliminated: 1
% 37.19/5.94 % done 2907 iterations in 5.210s
% 37.19/5.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 37.19/5.94 % SZS output start Refutation
% 37.19/5.94 thf(nil_type, type, nil: $i).
% 37.19/5.94 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 37.19/5.94 thf(cons_type, type, cons: $i > $i > $i).
% 37.19/5.94 thf(sk2_type, type, sk2: $i).
% 37.19/5.94 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 37.19/5.94 thf(sk5_type, type, sk5: $i).
% 37.19/5.94 thf(sk4_type, type, sk4: $i).
% 37.19/5.94 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 37.19/5.94 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 37.19/5.94 thf(memberP_type, type, memberP: $i > $i > $o).
% 37.19/5.94 thf(ssItem_type, type, ssItem: $i > $o).
% 37.19/5.94 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 37.19/5.94 thf(sk3_type, type, sk3: $i).
% 37.19/5.94 thf(neq_type, type, neq: $i > $i > $o).
% 37.19/5.94 thf(app_type, type, app: $i > $i > $i).
% 37.19/5.94 thf(ssList_type, type, ssList: $i > $o).
% 37.19/5.94 thf(sk1_type, type, sk1: $i).
% 37.19/5.94 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 37.19/5.94 thf(clause169, axiom,
% 37.19/5.94 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 37.19/5.94 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 37.19/5.94 thf(zip_derived_cl168, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (memberP @ X0 @ X1)
% 37.19/5.94 | ~ (ssItem @ X1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 37.19/5.94 = (X0)))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause169])).
% 37.19/5.94 thf(clause85, axiom,
% 37.19/5.94 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 37.19/5.94 thf(zip_derived_cl84, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause85])).
% 37.19/5.94 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 37.19/5.94 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_7])).
% 37.19/5.94 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.19/5.94 thf(co1_12, conjecture,
% 37.19/5.94 (~( ( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 37.19/5.94 thf(zf_stmt_1, negated_conjecture,
% 37.19/5.94 (( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk4 @ sk5 )),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_12])).
% 37.19/5.94 thf(zip_derived_cl196, plain,
% 37.19/5.94 ((~ (neq @ sk4 @ nil) | (memberP @ sk4 @ sk5))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 37.19/5.94 thf(zip_derived_cl1413, plain,
% 37.19/5.94 ((((sk2) != (sk4)) | ((nil) != (nil)) | (memberP @ sk4 @ sk5))),
% 37.19/5.94 inference('dp-resolution', [status(thm)],
% 37.19/5.94 [zip_derived_cl191, zip_derived_cl196])).
% 37.19/5.94 thf(zip_derived_cl1421, plain, (( (memberP @ sk4 @ sk5) | ((sk2) != (sk4)))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1413])).
% 37.19/5.94 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 37.19/5.94 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_5])).
% 37.19/5.94 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 37.19/5.94 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 37.19/5.94 thf(zip_derived_cl1422, plain, (( (memberP @ sk2 @ sk5) | ((sk2) != (sk2)))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl1421, zip_derived_cl189, zip_derived_cl189])).
% 37.19/5.94 thf(zip_derived_cl1423, plain, ( (memberP @ sk2 @ sk5)),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1422])).
% 37.19/5.94 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.19/5.94 thf(co1_11, conjecture,
% 37.19/5.94 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 37.19/5.94 thf(zf_stmt_3, negated_conjecture,
% 37.19/5.94 (( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_11])).
% 37.19/5.94 thf(zip_derived_cl195, plain,
% 37.19/5.94 ((~ (neq @ sk4 @ nil) | ((cons @ sk5 @ nil) = (sk3)))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_3])).
% 37.19/5.94 thf(zip_derived_cl1410, plain,
% 37.19/5.94 ((((sk2) != (sk4)) | ((nil) != (nil)) | ((cons @ sk5 @ nil) = (sk3)))),
% 37.19/5.94 inference('dp-resolution', [status(thm)],
% 37.19/5.94 [zip_derived_cl191, zip_derived_cl195])).
% 37.19/5.94 thf(zip_derived_cl1415, plain,
% 37.19/5.94 ((((cons @ sk5 @ nil) = (sk3)) | ((sk2) != (sk4)))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1410])).
% 37.19/5.94 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 37.19/5.94 thf(zf_stmt_4, negated_conjecture, (( sk1 ) = ( sk3 )),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_6])).
% 37.19/5.94 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 37.19/5.94 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 37.19/5.94 thf(zip_derived_cl1416, plain,
% 37.19/5.94 ((((cons @ sk5 @ nil) = (sk1)) | ((sk2) != (sk2)))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl1415, zip_derived_cl190, zip_derived_cl189])).
% 37.19/5.94 thf(zip_derived_cl1417, plain, (((cons @ sk5 @ nil) = (sk1))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1416])).
% 37.19/5.94 thf(zip_derived_cl168, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (memberP @ X0 @ X1)
% 37.19/5.94 | ~ (ssItem @ X1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 37.19/5.94 = (X0)))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause169])).
% 37.19/5.94 thf(clause72, axiom,
% 37.19/5.94 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 37.19/5.94 thf(zip_derived_cl71, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause72])).
% 37.19/5.94 thf(clause179, axiom,
% 37.19/5.94 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 37.19/5.94 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 37.19/5.94 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 37.19/5.94 thf(zip_derived_cl178, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 37.19/5.94 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 37.19/5.94 | ~ (ssList @ X4)
% 37.19/5.94 | ~ (ssList @ X3)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssItem @ X2)
% 37.19/5.94 | ~ (duplicatefreeP @ X0)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause179])).
% 37.19/5.94 thf(zip_derived_cl1367, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 37.19/5.94 ( (ssItem @ X1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssItem @ X3)
% 37.19/5.94 | ~ (ssList @ X5)
% 37.19/5.94 | ~ (ssList @ X4)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 37.19/5.94 inference('dp-resolution', [status(thm)],
% 37.19/5.94 [zip_derived_cl71, zip_derived_cl178])).
% 37.19/5.94 thf(zip_derived_cl3882, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 37.19/5.94 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ X4)
% 37.19/5.94 | ~ (ssList @ X5)
% 37.19/5.94 | ~ (ssItem @ X3)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | (ssItem @ X1))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1367])).
% 37.19/5.94 thf(zip_derived_cl3896, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (ssItem @ X3)
% 37.19/5.94 | ~ (memberP @ X0 @ X3)
% 37.19/5.94 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 37.19/5.94 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 37.19/5.94 | ~ (ssItem @ X3)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (ssItem @ X4))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl168, zip_derived_cl3882])).
% 37.19/5.94 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 37.19/5.94 thf(zip_derived_cl51, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause52])).
% 37.19/5.94 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 37.19/5.94 thf(zip_derived_cl52, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause53])).
% 37.19/5.94 thf(zip_derived_cl3924, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (ssItem @ X3)
% 37.19/5.94 | ~ (memberP @ X0 @ X3)
% 37.19/5.94 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssItem @ X3)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (ssItem @ X4))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl3896, zip_derived_cl51, zip_derived_cl52])).
% 37.19/5.94 thf(zip_derived_cl3925, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 37.19/5.94 ( (ssItem @ X4)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 37.19/5.94 | ~ (memberP @ X0 @ X3)
% 37.19/5.94 | ~ (ssItem @ X3)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl3924])).
% 37.19/5.94 thf(zip_derived_cl4832, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 ( (ssItem @ X2)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ nil)
% 37.19/5.94 | ((app @ X1 @ sk1) != (X0))
% 37.19/5.94 | ~ (memberP @ X1 @ sk5)
% 37.19/5.94 | ~ (ssItem @ sk5)
% 37.19/5.94 | ~ (ssList @ X1))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl1417, zip_derived_cl3925])).
% 37.19/5.94 thf(clause8, axiom, (ssList @ nil)).
% 37.19/5.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 37.19/5.94 inference('cnf', [status(esa)], [clause8])).
% 37.19/5.94 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.19/5.94 thf(co1_10, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 37.19/5.94 thf(zf_stmt_5, negated_conjecture,
% 37.19/5.94 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_10])).
% 37.19/5.94 thf(zip_derived_cl194, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_5])).
% 37.19/5.94 thf(zip_derived_cl1407, plain,
% 37.19/5.94 ((((sk2) != (sk4)) | ((nil) != (nil)) | (ssItem @ sk5))),
% 37.19/5.94 inference('dp-resolution', [status(thm)],
% 37.19/5.94 [zip_derived_cl191, zip_derived_cl194])).
% 37.19/5.94 thf(zip_derived_cl1418, plain, (( (ssItem @ sk5) | ((sk2) != (sk4)))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1407])).
% 37.19/5.94 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_2])).
% 37.19/5.94 thf(zip_derived_cl1419, plain, (( (ssItem @ sk5) | ((sk2) != (sk2)))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl1418, zip_derived_cl189])).
% 37.19/5.94 thf(zip_derived_cl1420, plain, ( (ssItem @ sk5)),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1419])).
% 37.19/5.94 thf(zip_derived_cl4852, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 ( (ssItem @ X2)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((app @ X1 @ sk1) != (X0))
% 37.19/5.94 | ~ (memberP @ X1 @ sk5)
% 37.19/5.94 | ~ (ssList @ X1))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl4832, zip_derived_cl7, zip_derived_cl1420])).
% 37.19/5.94 thf(zip_derived_cl5195, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 ( (ssItem @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ((app @ sk2 @ sk1) != (X1))
% 37.19/5.94 | ~ (ssList @ sk2))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl1423, zip_derived_cl4852])).
% 37.19/5.94 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 37.19/5.94 thf(zf_stmt_6, negated_conjecture, (ssList @ sk2),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_2])).
% 37.19/5.94 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_6])).
% 37.19/5.94 thf(zip_derived_cl5199, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk2 @ sk1) != (X1)))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl5195, zip_derived_cl186])).
% 37.19/5.94 thf(zip_derived_cl5212, plain,
% 37.19/5.94 (![X0 : $i]: (~ (ssList @ (app @ sk2 @ sk1)) | (ssItem @ X0))),
% 37.19/5.94 inference('eq_res', [status(thm)], [zip_derived_cl5199])).
% 37.19/5.94 thf(zip_derived_cl5218, plain,
% 37.19/5.94 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 37.19/5.94 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5212])).
% 37.19/5.94 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_6])).
% 37.19/5.94 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 37.19/5.94 thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_1])).
% 37.19/5.94 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.19/5.94 thf(zip_derived_cl5220, plain, (![X0 : $i]: (ssItem @ X0)),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl5218, zip_derived_cl186, zip_derived_cl185])).
% 37.19/5.94 thf(zip_derived_cl5264, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (memberP @ X0 @ X1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 37.19/5.94 = (X0)))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl5220])).
% 37.19/5.94 thf(zip_derived_cl1417, plain, (((cons @ sk5 @ nil) = (sk1))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1416])).
% 37.19/5.94 thf(clause120, axiom,
% 37.19/5.94 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 37.19/5.94 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 37.19/5.94 thf(zip_derived_cl119, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssItem @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause120])).
% 37.19/5.94 thf(zip_derived_cl1655, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (ssItem @ sk5)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 37.19/5.94 inference('s_sup+', [status(thm)],
% 37.19/5.94 [zip_derived_cl1417, zip_derived_cl119])).
% 37.19/5.94 thf(zip_derived_cl1420, plain, ( (ssItem @ sk5)),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1419])).
% 37.19/5.94 thf(zip_derived_cl1657, plain,
% 37.19/5.94 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl1655, zip_derived_cl1420])).
% 37.19/5.94 thf(clause149, axiom,
% 37.19/5.94 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 37.19/5.94 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 37.19/5.94 thf(zip_derived_cl148, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause149])).
% 37.19/5.94 thf(clause173, axiom,
% 37.19/5.94 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 37.19/5.94 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 37.19/5.94 ( segmentP @ X @ V ))).
% 37.19/5.94 thf(zip_derived_cl172, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.19/5.94 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 37.19/5.94 | ~ (ssList @ X3)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | (segmentP @ X0 @ X2))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause173])).
% 37.19/5.94 thf(zip_derived_cl3299, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.19/5.94 (~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X3)
% 37.19/5.94 | (segmentP @ X3 @ X1))),
% 37.19/5.94 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 37.19/5.94 thf(zip_derived_cl3325, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.19/5.94 ( (segmentP @ X3 @ X1)
% 37.19/5.94 | ~ (ssList @ X3)
% 37.19/5.94 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X2))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl3299])).
% 37.19/5.94 thf(zip_derived_cl5134, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | (segmentP @ X1 @ sk1)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ sk1)
% 37.19/5.94 | ~ (ssList @ X2))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl1657, zip_derived_cl3325])).
% 37.19/5.94 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.19/5.94 thf(zip_derived_cl5167, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | (segmentP @ X1 @ sk1)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X2))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl5134, zip_derived_cl185])).
% 37.19/5.94 thf(zip_derived_cl5168, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (~ (ssList @ X2)
% 37.19/5.94 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (segmentP @ X1 @ sk1)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl5167])).
% 37.19/5.94 thf(zip_derived_cl25448, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (memberP @ X0 @ sk5)
% 37.19/5.94 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 37.19/5.94 | ((X0) != (X1))
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (segmentP @ X1 @ sk1)
% 37.19/5.94 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl5264, zip_derived_cl5168])).
% 37.19/5.94 thf(zip_derived_cl52, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause53])).
% 37.19/5.94 thf(zip_derived_cl51, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause52])).
% 37.19/5.94 thf(zip_derived_cl25533, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (memberP @ X0 @ sk5)
% 37.19/5.94 | ((X0) != (X1))
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (segmentP @ X1 @ sk1))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl25448, zip_derived_cl52, zip_derived_cl51])).
% 37.19/5.94 thf(zip_derived_cl25718, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 ( (segmentP @ X0 @ sk1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (memberP @ X0 @ sk5)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('eq_res', [status(thm)], [zip_derived_cl25533])).
% 37.19/5.94 thf(zip_derived_cl25719, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl25718])).
% 37.19/5.94 thf(clause132, axiom,
% 37.19/5.94 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 37.19/5.94 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 37.19/5.94 thf(zip_derived_cl131, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (frontsegP @ X0 @ X1)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause132])).
% 37.19/5.94 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 37.19/5.94 thf(zip_derived_cl73, plain,
% 37.19/5.94 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause74])).
% 37.19/5.94 thf(zip_derived_cl172, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.19/5.94 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 37.19/5.94 | ~ (ssList @ X3)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | (segmentP @ X0 @ X2))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause173])).
% 37.19/5.94 thf(zip_derived_cl3306, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ((app @ X0 @ X2) != (X1))
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ nil)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (segmentP @ X1 @ X0))),
% 37.19/5.94 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 37.19/5.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 37.19/5.94 inference('cnf', [status(esa)], [clause8])).
% 37.19/5.94 thf(zip_derived_cl3335, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ((app @ X0 @ X2) != (X1))
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (segmentP @ X1 @ X0))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl3306, zip_derived_cl7])).
% 37.19/5.94 thf(zip_derived_cl3336, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 ( (segmentP @ X1 @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ((app @ X0 @ X2) != (X1))
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl3335])).
% 37.19/5.94 thf(zip_derived_cl3485, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (frontsegP @ X0 @ X2)
% 37.19/5.94 | (segmentP @ X1 @ X2)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ (skaf45 @ X0 @ X2))
% 37.19/5.94 | ((X0) != (X1))
% 37.19/5.94 | ~ (ssList @ X2))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl131, zip_derived_cl3336])).
% 37.19/5.94 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 37.19/5.94 thf(zip_derived_cl50, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause51])).
% 37.19/5.94 thf(zip_derived_cl3505, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (frontsegP @ X0 @ X2)
% 37.19/5.94 | (segmentP @ X1 @ X2)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ((X0) != (X1))
% 37.19/5.94 | ~ (ssList @ X2))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl3485, zip_derived_cl50])).
% 37.19/5.94 thf(zip_derived_cl3506, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (((X0) != (X1))
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (segmentP @ X1 @ X2)
% 37.19/5.94 | ~ (frontsegP @ X0 @ X2)
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl3505])).
% 37.19/5.94 thf(zip_derived_cl3620, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (frontsegP @ X0 @ X1)
% 37.19/5.94 | (segmentP @ X0 @ X1)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('eq_res', [status(thm)], [zip_derived_cl3506])).
% 37.19/5.94 thf(zip_derived_cl3621, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 ( (segmentP @ X0 @ X1)
% 37.19/5.94 | ~ (frontsegP @ X0 @ X1)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl3620])).
% 37.19/5.94 thf(clause100, axiom,
% 37.19/5.94 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 37.19/5.94 ( ( V ) = ( U ) ))).
% 37.19/5.94 thf(zip_derived_cl99, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause100])).
% 37.19/5.94 thf(co1_8, conjecture,
% 37.19/5.94 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 37.19/5.94 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) ))).
% 37.19/5.94 thf(zf_stmt_8, negated_conjecture,
% 37.19/5.94 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 37.19/5.94 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) )),
% 37.19/5.94 inference('cnf.neg', [status(esa)], [co1_8])).
% 37.19/5.94 thf(zip_derived_cl192, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (segmentP @ sk1 @ X0)
% 37.19/5.94 | ~ (segmentP @ sk2 @ X0)
% 37.19/5.94 | ~ (neq @ X0 @ nil)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_8])).
% 37.19/5.94 thf(zip_derived_cl1390, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (((X0) = (nil))
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ nil)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (segmentP @ sk2 @ X0)
% 37.19/5.94 | ~ (segmentP @ sk1 @ X0))),
% 37.19/5.94 inference('dp-resolution', [status(thm)],
% 37.19/5.94 [zip_derived_cl99, zip_derived_cl192])).
% 37.19/5.94 thf(zip_derived_cl1487, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (segmentP @ sk1 @ X0)
% 37.19/5.94 | ~ (segmentP @ sk2 @ X0)
% 37.19/5.94 | ~ (ssList @ nil)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((X0) = (nil)))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1390])).
% 37.19/5.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 37.19/5.94 inference('cnf', [status(esa)], [clause8])).
% 37.19/5.94 thf(zip_derived_cl1488, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (segmentP @ sk1 @ X0)
% 37.19/5.94 | ~ (segmentP @ sk2 @ X0)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((X0) = (nil)))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl1487, zip_derived_cl7])).
% 37.19/5.94 thf(zip_derived_cl3744, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (ssList @ sk1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (frontsegP @ sk1 @ X0)
% 37.19/5.94 | ~ (segmentP @ sk2 @ X0)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((X0) = (nil)))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl3621, zip_derived_cl1488])).
% 37.19/5.94 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.19/5.94 thf(zip_derived_cl3753, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (frontsegP @ sk1 @ X0)
% 37.19/5.94 | ~ (segmentP @ sk2 @ X0)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ((X0) = (nil)))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl3744, zip_derived_cl185])).
% 37.19/5.94 thf(zip_derived_cl3754, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (((X0) = (nil))
% 37.19/5.94 | ~ (segmentP @ sk2 @ X0)
% 37.19/5.94 | ~ (frontsegP @ sk1 @ X0)
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl3753])).
% 37.19/5.94 thf(zip_derived_cl27458, plain,
% 37.19/5.94 ((~ (ssList @ sk2)
% 37.19/5.94 | ~ (memberP @ sk2 @ sk5)
% 37.19/5.94 | ((sk1) = (nil))
% 37.19/5.94 | ~ (frontsegP @ sk1 @ sk1)
% 37.19/5.94 | ~ (ssList @ sk1))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl25719, zip_derived_cl3754])).
% 37.19/5.94 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_6])).
% 37.19/5.94 thf(zip_derived_cl1423, plain, ( (memberP @ sk2 @ sk5)),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1422])).
% 37.19/5.94 thf(zip_derived_cl1417, plain, (((cons @ sk5 @ nil) = (sk1))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1416])).
% 37.19/5.94 thf(zip_derived_cl1657, plain,
% 37.19/5.94 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl1655, zip_derived_cl1420])).
% 37.19/5.94 thf(clause144, axiom,
% 37.19/5.94 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 37.19/5.94 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 37.19/5.94 thf(zip_derived_cl143, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.19/5.94 (((app @ X1 @ X2) != (X0))
% 37.19/5.94 | ~ (ssList @ X2)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | (frontsegP @ X0 @ X1))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause144])).
% 37.19/5.94 thf(zip_derived_cl1988, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ((cons @ sk5 @ X0) != (X1))
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ sk1)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (frontsegP @ X1 @ sk1))),
% 37.19/5.94 inference('s_sup-', [status(thm)],
% 37.19/5.94 [zip_derived_cl1657, zip_derived_cl143])).
% 37.19/5.94 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.19/5.94 thf(zip_derived_cl2002, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ((cons @ sk5 @ X0) != (X1))
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | (frontsegP @ X1 @ sk1))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl1988, zip_derived_cl185])).
% 37.19/5.94 thf(zip_derived_cl2003, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 ( (frontsegP @ X1 @ sk1)
% 37.19/5.94 | ~ (ssList @ X1)
% 37.19/5.94 | ((cons @ sk5 @ X0) != (X1))
% 37.19/5.94 | ~ (ssList @ X0))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl2002])).
% 37.19/5.94 thf(zip_derived_cl2031, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ (cons @ sk5 @ X0))
% 37.19/5.94 | (frontsegP @ (cons @ sk5 @ X0) @ sk1))),
% 37.19/5.94 inference('eq_res', [status(thm)], [zip_derived_cl2003])).
% 37.19/5.94 thf(zip_derived_cl1657, plain,
% 37.19/5.94 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl1655, zip_derived_cl1420])).
% 37.19/5.94 thf(zip_derived_cl84, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause85])).
% 37.19/5.94 thf(zip_derived_cl1664, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ X0)
% 37.19/5.94 | ~ (ssList @ sk1)
% 37.19/5.94 | (ssList @ (cons @ sk5 @ X0)))),
% 37.19/5.94 inference('s_sup+', [status(thm)], [zip_derived_cl1657, zip_derived_cl84])).
% 37.19/5.94 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.19/5.94 thf(zip_derived_cl1668, plain,
% 37.19/5.94 (![X0 : $i]:
% 37.19/5.94 (~ (ssList @ X0) | ~ (ssList @ X0) | (ssList @ (cons @ sk5 @ X0)))),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl1664, zip_derived_cl185])).
% 37.19/5.94 thf(zip_derived_cl1669, plain,
% 37.19/5.94 (![X0 : $i]: ( (ssList @ (cons @ sk5 @ X0)) | ~ (ssList @ X0))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1668])).
% 37.19/5.94 thf(zip_derived_cl2184, plain,
% 37.19/5.94 (![X0 : $i]: ( (frontsegP @ (cons @ sk5 @ X0) @ sk1) | ~ (ssList @ X0))),
% 37.19/5.94 inference('clc', [status(thm)], [zip_derived_cl2031, zip_derived_cl1669])).
% 37.19/5.94 thf(zip_derived_cl2187, plain,
% 37.19/5.94 (( (frontsegP @ sk1 @ sk1) | ~ (ssList @ nil))),
% 37.19/5.94 inference('s_sup+', [status(thm)],
% 37.19/5.94 [zip_derived_cl1417, zip_derived_cl2184])).
% 37.19/5.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 37.19/5.94 inference('cnf', [status(esa)], [clause8])).
% 37.19/5.94 thf(zip_derived_cl2188, plain, ( (frontsegP @ sk1 @ sk1)),
% 37.19/5.94 inference('demod', [status(thm)], [zip_derived_cl2187, zip_derived_cl7])).
% 37.19/5.94 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 37.19/5.94 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.19/5.94 thf(zip_derived_cl27483, plain, (((sk1) = (nil))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl27458, zip_derived_cl186, zip_derived_cl1423,
% 37.19/5.94 zip_derived_cl2188, zip_derived_cl185])).
% 37.19/5.94 thf(zip_derived_cl1417, plain, (((cons @ sk5 @ nil) = (sk1))),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1416])).
% 37.19/5.94 thf(clause99, axiom,
% 37.19/5.94 (( ( cons @ U @ V ) != ( V ) ) | ( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ))).
% 37.19/5.94 thf(zip_derived_cl98, plain,
% 37.19/5.94 (![X0 : $i, X1 : $i]:
% 37.19/5.94 (((cons @ X1 @ X0) != (X0)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 37.19/5.94 inference('cnf', [status(esa)], [clause99])).
% 37.19/5.94 thf(zip_derived_cl1439, plain,
% 37.19/5.94 ((((sk1) != (nil)) | ~ (ssItem @ sk5) | ~ (ssList @ nil))),
% 37.19/5.94 inference('s_sup-', [status(thm)], [zip_derived_cl1417, zip_derived_cl98])).
% 37.19/5.94 thf(zip_derived_cl1420, plain, ( (ssItem @ sk5)),
% 37.19/5.94 inference('simplify', [status(thm)], [zip_derived_cl1419])).
% 37.19/5.94 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 37.19/5.94 inference('cnf', [status(esa)], [clause8])).
% 37.19/5.94 thf(zip_derived_cl1440, plain, (((sk1) != (nil))),
% 37.19/5.94 inference('demod', [status(thm)],
% 37.19/5.94 [zip_derived_cl1439, zip_derived_cl1420, zip_derived_cl7])).
% 37.19/5.94 thf(zip_derived_cl27484, plain, ($false),
% 37.19/5.94 inference('simplify_reflect-', [status(thm)],
% 37.19/5.94 [zip_derived_cl27483, zip_derived_cl1440])).
% 37.19/5.94
% 37.19/5.94 % SZS output end Refutation
% 37.19/5.94
% 37.19/5.94
% 37.19/5.94 % Terminating...
% 37.31/6.06 % Runner terminated.
% 37.31/6.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------