TSTP Solution File: SWC045-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC045-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bySNnvD8IN true
% Computer : n014.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 21:28:44 EDT 2023
% Result : Unsatisfiable 7.44s 1.63s
% Output : Refutation 7.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC045-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bySNnvD8IN true
% 0.17/0.35 % Computer : n014.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 15:14:16 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.44/1.63 % Solved by fo/fo6_bce.sh.
% 7.44/1.63 % BCE start: 196
% 7.44/1.63 % BCE eliminated: 4
% 7.44/1.63 % PE start: 192
% 7.44/1.63 logic: eq
% 7.44/1.63 % PE eliminated: 6
% 7.44/1.63 % done 601 iterations in 0.906s
% 7.44/1.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.44/1.63 % SZS output start Refutation
% 7.44/1.63 thf(nil_type, type, nil: $i).
% 7.44/1.63 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 7.44/1.63 thf(cons_type, type, cons: $i > $i > $i).
% 7.44/1.63 thf(sk2_type, type, sk2: $i).
% 7.44/1.63 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 7.44/1.63 thf(sk4_type, type, sk4: $i).
% 7.44/1.63 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 7.44/1.63 thf(memberP_type, type, memberP: $i > $i > $o).
% 7.44/1.63 thf(skac3_type, type, skac3: $i).
% 7.44/1.63 thf(sk5_type, type, sk5: $i > $i).
% 7.44/1.63 thf(ssItem_type, type, ssItem: $i > $o).
% 7.44/1.63 thf(skaf82_type, type, skaf82: $i > $i).
% 7.44/1.63 thf(sk3_type, type, sk3: $i).
% 7.44/1.63 thf(skaf83_type, type, skaf83: $i > $i).
% 7.44/1.63 thf(app_type, type, app: $i > $i > $i).
% 7.44/1.63 thf(ssList_type, type, ssList: $i > $o).
% 7.44/1.63 thf(sk1_type, type, sk1: $i).
% 7.44/1.63 thf(singletonP_type, type, singletonP: $i > $o).
% 7.44/1.63 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 7.44/1.63 thf(clause109, axiom,
% 7.44/1.63 (( ~( ssList @ U ) ) |
% 7.44/1.63 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 7.44/1.63 ( ( nil ) = ( U ) ))).
% 7.44/1.63 thf(zip_derived_cl108, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssList @ X0)
% 7.44/1.63 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 7.44/1.63 | ((nil) = (X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause109])).
% 7.44/1.63 thf(clause138, axiom,
% 7.44/1.63 (( ( U ) != ( V ) ) | ( ~( ssList @ W ) ) | ( ~( ssItem @ V ) ) |
% 7.44/1.63 ( ~( ssItem @ U ) ) | ( memberP @ ( cons @ V @ W ) @ U ))).
% 7.44/1.63 thf(zip_derived_cl137, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (((X1) != (X0))
% 7.44/1.63 | ~ (ssList @ X2)
% 7.44/1.63 | ~ (ssItem @ X0)
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | (memberP @ (cons @ X0 @ X2) @ X1))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause138])).
% 7.44/1.63 thf(zip_derived_cl1681, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 ( (memberP @ (cons @ X0 @ X1) @ X0)
% 7.44/1.63 | ~ (ssItem @ X0)
% 7.44/1.63 | ~ (ssItem @ X0)
% 7.44/1.63 | ~ (ssList @ X1))),
% 7.44/1.63 inference('eq_res', [status(thm)], [zip_derived_cl137])).
% 7.44/1.63 thf(zip_derived_cl1682, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssList @ X1)
% 7.44/1.63 | ~ (ssItem @ X0)
% 7.44/1.63 | (memberP @ (cons @ X0 @ X1) @ X0))),
% 7.44/1.63 inference('simplify', [status(thm)], [zip_derived_cl1681])).
% 7.44/1.63 thf(zip_derived_cl1683, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((nil) = (X0))
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ (skaf82 @ X0))
% 7.44/1.63 | ~ (ssItem @ (skaf83 @ X0))
% 7.44/1.63 | (memberP @ X0 @ (skaf83 @ X0)))),
% 7.44/1.63 inference('s_sup+', [status(thm)],
% 7.44/1.63 [zip_derived_cl108, zip_derived_cl1682])).
% 7.44/1.63 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 7.44/1.63 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause13])).
% 7.44/1.63 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 7.44/1.63 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause12])).
% 7.44/1.63 thf(zip_derived_cl1685, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((nil) = (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ (skaf83 @ X0)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl1683, zip_derived_cl12, zip_derived_cl11])).
% 7.44/1.63 thf(co1_10, conjecture,
% 7.44/1.63 (~( ( ~( memberP @ sk3 @ A ) ) | ( ssList @ ( sk5 @ A ) ) |
% 7.44/1.63 ( ~( ssItem @ A ) ) ))).
% 7.44/1.63 thf(zf_stmt_0, negated_conjecture,
% 7.44/1.63 (( ~( memberP @ sk3 @ A ) ) | ( ssList @ ( sk5 @ A ) ) |
% 7.44/1.63 ( ~( ssItem @ A ) )),
% 7.44/1.63 inference('cnf.neg', [status(esa)], [co1_10])).
% 7.44/1.63 thf(zip_derived_cl194, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (memberP @ sk3 @ X0) | (ssList @ (sk5 @ X0)) | ~ (ssItem @ X0))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.44/1.63 thf(co1_7, conjecture, (( sk1 ) != ( sk3 ))).
% 7.44/1.63 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 7.44/1.63 inference('cnf.neg', [status(esa)], [co1_7])).
% 7.44/1.63 thf(zip_derived_cl191, plain, (((sk1) = (sk3))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.44/1.63 thf(zip_derived_cl1370, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (memberP @ sk1 @ X0) | (ssList @ (sk5 @ X0)) | ~ (ssItem @ X0))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl191])).
% 7.44/1.63 thf(clause120, axiom,
% 7.44/1.63 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 7.44/1.63 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 7.44/1.63 thf(zip_derived_cl119, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssItem @ X0)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause120])).
% 7.44/1.63 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 7.44/1.63 thf(zip_derived_cl73, plain,
% 7.44/1.63 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause74])).
% 7.44/1.63 thf(clause72, axiom,
% 7.44/1.63 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 7.44/1.63 thf(zip_derived_cl71, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause72])).
% 7.44/1.63 thf(clause179, axiom,
% 7.44/1.63 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 7.44/1.63 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 7.44/1.63 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 7.44/1.63 thf(zip_derived_cl178, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.44/1.63 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 7.44/1.63 | ~ (ssList @ X4)
% 7.44/1.63 | ~ (ssList @ X3)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssItem @ X2)
% 7.44/1.63 | ~ (duplicatefreeP @ X0)
% 7.44/1.63 | ~ (ssList @ X0))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause179])).
% 7.44/1.63 thf(zip_derived_cl1334, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.44/1.63 ( (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssItem @ X3)
% 7.44/1.63 | ~ (ssList @ X5)
% 7.44/1.63 | ~ (ssList @ X4)
% 7.44/1.63 | ~ (ssList @ X2)
% 7.44/1.63 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 7.44/1.63 inference('dp-resolution', [status(thm)],
% 7.44/1.63 [zip_derived_cl71, zip_derived_cl178])).
% 7.44/1.63 thf(zip_derived_cl3190, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.44/1.63 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 7.44/1.63 | ~ (ssList @ X2)
% 7.44/1.63 | ~ (ssList @ X4)
% 7.44/1.63 | ~ (ssList @ X5)
% 7.44/1.63 | ~ (ssItem @ X3)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | (ssItem @ X1))),
% 7.44/1.63 inference('simplify', [status(thm)], [zip_derived_cl1334])).
% 7.44/1.63 thf(zip_derived_cl3210, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.44/1.63 ( (ssItem @ X0)
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @ (app @ X4 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X1)))
% 7.44/1.63 | ~ (ssItem @ X2)
% 7.44/1.63 | ~ (ssList @ X4)
% 7.44/1.63 | ~ (ssList @ X3)
% 7.44/1.63 | ~ (ssList @ X1))),
% 7.44/1.63 inference('eq_res', [status(thm)], [zip_derived_cl3190])).
% 7.44/1.63 thf(zip_derived_cl3316, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.44/1.63 (~ (ssList @ (cons @ X1 @ X0))
% 7.44/1.63 | (ssItem @ X3)
% 7.44/1.63 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ nil)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ X2))),
% 7.44/1.63 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl3210])).
% 7.44/1.63 thf(clause8, axiom, (ssList @ nil)).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl3334, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.44/1.63 (~ (ssList @ (cons @ X1 @ X0))
% 7.44/1.63 | (ssItem @ X3)
% 7.44/1.63 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ X2))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl3316, zip_derived_cl7])).
% 7.44/1.63 thf(clause86, axiom,
% 7.44/1.63 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 7.44/1.63 thf(zip_derived_cl85, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause86])).
% 7.44/1.63 thf(zip_derived_cl3568, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.44/1.63 (~ (ssList @ X2)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 7.44/1.63 | (ssItem @ X3))),
% 7.44/1.63 inference('clc', [status(thm)], [zip_derived_cl3334, zip_derived_cl85])).
% 7.44/1.63 thf(zip_derived_cl3572, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (~ (ssList @ (cons @ X1 @ X0))
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ nil)
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 7.44/1.63 | (ssItem @ X2))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl119, zip_derived_cl3568])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl3585, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (~ (ssList @ (cons @ X1 @ X0))
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 7.44/1.63 | (ssItem @ X2))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl3572, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl3586, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 ( (ssItem @ X2)
% 7.44/1.63 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ (cons @ X1 @ X0)))),
% 7.44/1.63 inference('simplify', [status(thm)], [zip_derived_cl3585])).
% 7.44/1.63 thf(zip_derived_cl85, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause86])).
% 7.44/1.63 thf(zip_derived_cl3595, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (~ (ssList @ (cons @ X1 @ X0))
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | (ssItem @ X2))),
% 7.44/1.63 inference('clc', [status(thm)], [zip_derived_cl3586, zip_derived_cl85])).
% 7.44/1.63 thf(zip_derived_cl85, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause86])).
% 7.44/1.63 thf(zip_derived_cl3596, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 ( (ssItem @ X2) | ~ (ssList @ X0) | ~ (ssItem @ X1))),
% 7.44/1.63 inference('clc', [status(thm)], [zip_derived_cl3595, zip_derived_cl85])).
% 7.44/1.63 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause13])).
% 7.44/1.63 thf(zip_derived_cl3598, plain,
% 7.44/1.63 (![X1 : $i, X2 : $i]: (~ (ssItem @ X1) | (ssItem @ X2))),
% 7.44/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3596, zip_derived_cl12])).
% 7.44/1.63 thf(clause9, axiom, (ssItem @ skac3)).
% 7.44/1.63 thf(zip_derived_cl8, plain, ( (ssItem @ skac3)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause9])).
% 7.44/1.63 thf(zip_derived_cl3750, plain, (![X0 : $i]: (ssItem @ X0)),
% 7.44/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3598, zip_derived_cl8])).
% 7.44/1.63 thf(zip_derived_cl3844, plain,
% 7.44/1.63 (![X0 : $i]: (~ (memberP @ sk1 @ X0) | (ssList @ (sk5 @ X0)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl1370, zip_derived_cl3750])).
% 7.44/1.63 thf(clause85, axiom,
% 7.44/1.63 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 7.44/1.63 thf(zip_derived_cl84, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause85])).
% 7.44/1.63 thf(zip_derived_cl1685, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((nil) = (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ (skaf83 @ X0)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl1683, zip_derived_cl12, zip_derived_cl11])).
% 7.44/1.63 thf(zip_derived_cl3844, plain,
% 7.44/1.63 (![X0 : $i]: (~ (memberP @ sk1 @ X0) | (ssList @ (sk5 @ X0)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl1370, zip_derived_cl3750])).
% 7.44/1.63 thf(zip_derived_cl84, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause85])).
% 7.44/1.63 thf(zip_derived_cl84, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause85])).
% 7.44/1.63 thf(zip_derived_cl1685, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((nil) = (X0)) | ~ (ssList @ X0) | (memberP @ X0 @ (skaf83 @ X0)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl1683, zip_derived_cl12, zip_derived_cl11])).
% 7.44/1.63 thf(co1_11, conjecture,
% 7.44/1.63 (~( ( ~( memberP @ sk3 @ A ) ) |
% 7.44/1.63 ( segmentP @
% 7.44/1.63 sk4 @
% 7.44/1.63 ( app @
% 7.44/1.63 ( app @ ( cons @ A @ nil ) @ ( sk5 @ A ) ) @ ( cons @ A @ nil ) ) ) |
% 7.44/1.63 ( ~( ssItem @ A ) ) ))).
% 7.44/1.63 thf(zf_stmt_2, negated_conjecture,
% 7.44/1.63 (( ~( memberP @ sk3 @ A ) ) |
% 7.44/1.63 ( segmentP @
% 7.44/1.63 sk4 @
% 7.44/1.63 ( app @ ( app @ ( cons @ A @ nil ) @ ( sk5 @ A ) ) @ ( cons @ A @ nil ) ) ) |
% 7.44/1.63 ( ~( ssItem @ A ) )),
% 7.44/1.63 inference('cnf.neg', [status(esa)], [co1_11])).
% 7.44/1.63 thf(zip_derived_cl195, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (memberP @ sk3 @ X0)
% 7.44/1.63 | (segmentP @ sk4 @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @ (cons @ X0 @ nil)))
% 7.44/1.63 | ~ (ssItem @ X0))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.44/1.63 thf(zip_derived_cl191, plain, (((sk1) = (sk3))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_1])).
% 7.44/1.63 thf(co1_6, conjecture, (( sk2 ) != ( sk4 ))).
% 7.44/1.63 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 7.44/1.63 inference('cnf.neg', [status(esa)], [co1_6])).
% 7.44/1.63 thf(zip_derived_cl190, plain, (((sk2) = (sk4))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.44/1.63 thf(co1_5, conjecture, (( nil ) != ( sk2 ))).
% 7.44/1.63 thf(zf_stmt_4, negated_conjecture, (( nil ) = ( sk2 )),
% 7.44/1.63 inference('cnf.neg', [status(esa)], [co1_5])).
% 7.44/1.63 thf(zip_derived_cl189, plain, (((nil) = (sk2))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.44/1.63 thf(zip_derived_cl1355, plain, (((nil) = (sk4))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl189])).
% 7.44/1.63 thf(zip_derived_cl3113, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (memberP @ sk1 @ X0)
% 7.44/1.63 | (segmentP @ nil @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @ (cons @ X0 @ nil)))
% 7.44/1.63 | ~ (ssItem @ X0))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl195, zip_derived_cl191, zip_derived_cl1355])).
% 7.44/1.63 thf(clause127, axiom,
% 7.44/1.63 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ U ) ) |
% 7.44/1.63 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 7.44/1.63 thf(zip_derived_cl126, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (segmentP @ X0 @ X1)
% 7.44/1.63 | ~ (segmentP @ X1 @ X0)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ((X1) = (X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause127])).
% 7.44/1.63 thf(zip_derived_cl3114, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssItem @ X0)
% 7.44/1.63 | ~ (memberP @ sk1 @ X0)
% 7.44/1.63 | ~ (segmentP @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @
% 7.44/1.63 (cons @ X0 @ nil)) @
% 7.44/1.63 nil)
% 7.44/1.63 | ~ (ssList @ nil)
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @
% 7.44/1.63 (cons @ X0 @ nil)))
% 7.44/1.63 | ((app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @ (cons @ X0 @ nil))
% 7.44/1.63 = (nil)))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl3113, zip_derived_cl126])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl3136, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssItem @ X0)
% 7.44/1.63 | ~ (memberP @ sk1 @ X0)
% 7.44/1.63 | ~ (segmentP @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @
% 7.44/1.63 (cons @ X0 @ nil)) @
% 7.44/1.63 nil)
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @
% 7.44/1.63 (cons @ X0 @ nil)))
% 7.44/1.63 | ((app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @ (cons @ X0 @ nil))
% 7.44/1.63 = (nil)))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl3114, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl3750, plain, (![X0 : $i]: (ssItem @ X0)),
% 7.44/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3598, zip_derived_cl8])).
% 7.44/1.63 thf(zip_derived_cl4923, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (memberP @ sk1 @ X0)
% 7.44/1.63 | ~ (segmentP @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @
% 7.44/1.63 (cons @ X0 @ nil)) @
% 7.44/1.63 nil)
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @
% 7.44/1.63 (cons @ X0 @ nil)))
% 7.44/1.63 | ((app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @ (cons @ X0 @ nil))
% 7.44/1.63 = (nil)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl3136, zip_derived_cl3750])).
% 7.44/1.63 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 7.44/1.63 thf(zip_derived_cl55, plain,
% 7.44/1.63 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause56])).
% 7.44/1.63 thf(zip_derived_cl4924, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @ (cons @ X0 @ nil))
% 7.44/1.63 = (nil))
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @ (app @ (cons @ X0 @ nil) @ (sk5 @ X0)) @
% 7.44/1.63 (cons @ X0 @ nil)))
% 7.44/1.63 | ~ (memberP @ sk1 @ X0))),
% 7.44/1.63 inference('clc', [status(thm)], [zip_derived_cl4923, zip_derived_cl55])).
% 7.44/1.63 thf(zip_derived_cl4925, plain,
% 7.44/1.63 ((~ (ssList @ sk1)
% 7.44/1.63 | ((nil) = (sk1))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil))
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil))))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl1685, zip_derived_cl4924])).
% 7.44/1.63 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 7.44/1.63 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 7.44/1.63 inference('cnf.neg', [status(esa)], [co1_1])).
% 7.44/1.63 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_5])).
% 7.44/1.63 thf(zip_derived_cl4927, plain,
% 7.44/1.63 ((((nil) = (sk1))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil))
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil))))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl4925, zip_derived_cl185])).
% 7.44/1.63 thf(co1_8, conjecture, (( nil ) = ( sk1 ))).
% 7.44/1.63 thf(zf_stmt_6, negated_conjecture, (( nil ) != ( sk1 )),
% 7.44/1.63 inference('cnf.neg', [status(esa)], [co1_8])).
% 7.44/1.63 thf(zip_derived_cl192, plain, (((nil) != (sk1))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.44/1.63 thf(zip_derived_cl4928, plain,
% 7.44/1.63 ((((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil))
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil))))),
% 7.44/1.63 inference('simplify_reflect-', [status(thm)],
% 7.44/1.63 [zip_derived_cl4927, zip_derived_cl192])).
% 7.44/1.63 thf(zip_derived_cl4970, plain,
% 7.44/1.63 ((~ (ssList @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))))
% 7.44/1.63 | ~ (ssList @ (cons @ (skaf83 @ sk1) @ nil))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil)))),
% 7.44/1.63 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4928])).
% 7.44/1.63 thf(clause132, axiom,
% 7.44/1.63 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 7.44/1.63 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 7.44/1.63 thf(zip_derived_cl131, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (frontsegP @ X0 @ X1)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause132])).
% 7.44/1.63 thf(clause145, axiom,
% 7.44/1.63 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 7.44/1.63 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 7.44/1.63 thf(zip_derived_cl144, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (((nil) != (X0))
% 7.44/1.63 | ((nil) != (X1))
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((app @ X0 @ X1) = (nil)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause145])).
% 7.44/1.63 thf(clause150, axiom,
% 7.44/1.63 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 7.44/1.63 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 7.44/1.63 thf(zip_derived_cl149, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 7.44/1.63 | ~ (ssList @ X2)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ((X2) = (X1)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause150])).
% 7.44/1.63 thf(zip_derived_cl1415, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X2)
% 7.44/1.63 | ((nil) != (X2))
% 7.44/1.63 | ((nil) != (X1))
% 7.44/1.63 | ((nil) != (app @ X1 @ X0))
% 7.44/1.63 | ~ (ssList @ X2)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((X2) = (X0)))),
% 7.44/1.63 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl149])).
% 7.44/1.63 thf(zip_derived_cl1423, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (((X2) = (X0))
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((nil) != (app @ X1 @ X0))
% 7.44/1.63 | ((nil) != (X1))
% 7.44/1.63 | ((nil) != (X2))
% 7.44/1.63 | ~ (ssList @ X2)
% 7.44/1.63 | ~ (ssList @ X1))),
% 7.44/1.63 inference('simplify', [status(thm)], [zip_derived_cl1415])).
% 7.44/1.63 thf(zip_derived_cl1450, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssList @ nil)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((nil) != (X0))
% 7.44/1.63 | ((nil) != (app @ nil @ X1))
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ((X0) = (X1)))),
% 7.44/1.63 inference('eq_res', [status(thm)], [zip_derived_cl1423])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl1451, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssList @ X0)
% 7.44/1.63 | ((nil) != (X0))
% 7.44/1.63 | ((nil) != (app @ nil @ X1))
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ((X0) = (X1)))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl1450, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl1452, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((nil) = (X0))
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((nil) != (app @ nil @ X0))
% 7.44/1.63 | ~ (ssList @ nil))),
% 7.44/1.63 inference('eq_res', [status(thm)], [zip_derived_cl1451])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl1453, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((nil) = (X0)) | ~ (ssList @ X0) | ((nil) != (app @ nil @ X0)))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl1452, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl1747, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ nil)
% 7.44/1.63 | ~ (frontsegP @ X0 @ nil)
% 7.44/1.63 | ((nil) = (skaf45 @ X0 @ nil))
% 7.44/1.63 | ~ (ssList @ (skaf45 @ X0 @ nil))
% 7.44/1.63 | ((nil) != (X0)))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl131, zip_derived_cl1453])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 7.44/1.63 thf(zip_derived_cl50, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause51])).
% 7.44/1.63 thf(zip_derived_cl1774, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssList @ X0)
% 7.44/1.63 | ~ (frontsegP @ X0 @ nil)
% 7.44/1.63 | ((nil) = (skaf45 @ X0 @ nil))
% 7.44/1.63 | ((nil) != (X0)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl1747, zip_derived_cl7, zip_derived_cl50])).
% 7.44/1.63 thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 7.44/1.63 thf(zip_derived_cl59, plain,
% 7.44/1.63 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause60])).
% 7.44/1.63 thf(zip_derived_cl1889, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((nil) != (X0)) | ((nil) = (skaf45 @ X0 @ nil)) | ~ (ssList @ X0))),
% 7.44/1.63 inference('clc', [status(thm)], [zip_derived_cl1774, zip_derived_cl59])).
% 7.44/1.63 thf(zip_derived_cl131, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (frontsegP @ X0 @ X1)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause132])).
% 7.44/1.63 thf(zip_derived_cl1891, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssList @ X0)
% 7.44/1.63 | ((nil) != (X0))
% 7.44/1.63 | ~ (frontsegP @ X0 @ nil)
% 7.44/1.63 | ~ (ssList @ nil)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((app @ nil @ nil) = (X0)))),
% 7.44/1.63 inference('s_sup+', [status(thm)],
% 7.44/1.63 [zip_derived_cl1889, zip_derived_cl131])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl1893, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssList @ X0)
% 7.44/1.63 | ((nil) != (X0))
% 7.44/1.63 | ~ (frontsegP @ X0 @ nil)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((app @ nil @ nil) = (X0)))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl1891, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl1894, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (((app @ nil @ nil) = (X0))
% 7.44/1.63 | ~ (frontsegP @ X0 @ nil)
% 7.44/1.63 | ((nil) != (X0))
% 7.44/1.63 | ~ (ssList @ X0))),
% 7.44/1.63 inference('simplify', [status(thm)], [zip_derived_cl1893])).
% 7.44/1.63 thf(zip_derived_cl59, plain,
% 7.44/1.63 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause60])).
% 7.44/1.63 thf(zip_derived_cl1896, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssList @ X0) | ((nil) != (X0)) | ((app @ nil @ nil) = (X0)))),
% 7.44/1.63 inference('clc', [status(thm)], [zip_derived_cl1894, zip_derived_cl59])).
% 7.44/1.63 thf(zip_derived_cl1897, plain,
% 7.44/1.63 ((((app @ nil @ nil) = (nil)) | ~ (ssList @ nil))),
% 7.44/1.63 inference('eq_res', [status(thm)], [zip_derived_cl1896])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl1898, plain, (((app @ nil @ nil) = (nil))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl1897, zip_derived_cl7])).
% 7.44/1.63 thf(clause157, axiom,
% 7.44/1.63 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 7.44/1.63 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 7.44/1.63 thf(zip_derived_cl156, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (~ (ssItem @ X0)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X2)
% 7.44/1.63 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause157])).
% 7.44/1.63 thf(zip_derived_cl84, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause85])).
% 7.44/1.63 thf(zip_derived_cl2286, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssItem @ X2)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ (cons @ X2 @ X1))
% 7.44/1.63 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 7.44/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 7.44/1.63 thf(zip_derived_cl2313, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 7.44/1.63 | ~ (ssList @ (cons @ X2 @ X1))
% 7.44/1.63 | ~ (ssItem @ X2)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X0))),
% 7.44/1.63 inference('simplify', [status(thm)], [zip_derived_cl2286])).
% 7.44/1.63 thf(zip_derived_cl3750, plain, (![X0 : $i]: (ssItem @ X0)),
% 7.44/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3598, zip_derived_cl8])).
% 7.44/1.63 thf(zip_derived_cl4944, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 7.44/1.63 | ~ (ssList @ (cons @ X2 @ X1))
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X0))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl2313, zip_derived_cl3750])).
% 7.44/1.63 thf(zip_derived_cl85, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause86])).
% 7.44/1.63 thf(zip_derived_cl3750, plain, (![X0 : $i]: (ssItem @ X0)),
% 7.44/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3598, zip_derived_cl8])).
% 7.44/1.63 thf(zip_derived_cl3796, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3750])).
% 7.44/1.63 thf(zip_derived_cl4945, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.44/1.63 (~ (ssList @ X0)
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 7.44/1.63 inference('clc', [status(thm)], [zip_derived_cl4944, zip_derived_cl3796])).
% 7.44/1.63 thf(zip_derived_cl4950, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssList @ nil) | ~ (ssList @ nil) | (ssList @ (cons @ X0 @ nil)))),
% 7.44/1.63 inference('s_sup+', [status(thm)],
% 7.44/1.63 [zip_derived_cl1898, zip_derived_cl4945])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl4964, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl4950, zip_derived_cl7, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl5089, plain,
% 7.44/1.63 ((~ (ssList @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl4970, zip_derived_cl4964])).
% 7.44/1.63 thf(zip_derived_cl5090, plain,
% 7.44/1.63 ((~ (ssList @ (cons @ (skaf83 @ sk1) @ nil))
% 7.44/1.63 | ~ (ssList @ (sk5 @ (skaf83 @ sk1)))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil)))),
% 7.44/1.63 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5089])).
% 7.44/1.63 thf(zip_derived_cl4964, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl4950, zip_derived_cl7, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl5095, plain,
% 7.44/1.63 ((~ (ssList @ (sk5 @ (skaf83 @ sk1)))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl5090, zip_derived_cl4964])).
% 7.44/1.63 thf(zip_derived_cl5199, plain,
% 7.44/1.63 ((~ (memberP @ sk1 @ (skaf83 @ sk1))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil)))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl3844, zip_derived_cl5095])).
% 7.44/1.63 thf(zip_derived_cl5204, plain,
% 7.44/1.63 ((~ (ssList @ sk1)
% 7.44/1.63 | ((nil) = (sk1))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil)))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl1685, zip_derived_cl5199])).
% 7.44/1.63 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_5])).
% 7.44/1.63 thf(zip_derived_cl5206, plain,
% 7.44/1.63 ((((nil) = (sk1))
% 7.44/1.63 | ((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil)))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl5204, zip_derived_cl185])).
% 7.44/1.63 thf(zip_derived_cl192, plain, (((nil) != (sk1))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.44/1.63 thf(zip_derived_cl5207, plain,
% 7.44/1.63 (((app @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))) @
% 7.44/1.63 (cons @ (skaf83 @ sk1) @ nil)) = (nil))),
% 7.44/1.63 inference('simplify_reflect-', [status(thm)],
% 7.44/1.63 [zip_derived_cl5206, zip_derived_cl192])).
% 7.44/1.63 thf(clause119, axiom,
% 7.44/1.63 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 7.44/1.63 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 7.44/1.63 thf(zip_derived_cl118, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (((app @ X0 @ X1) != (nil))
% 7.44/1.63 | ~ (ssList @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | ((nil) = (X1)))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause119])).
% 7.44/1.63 thf(zip_derived_cl5398, plain,
% 7.44/1.63 ((((nil) != (nil))
% 7.44/1.63 | ~ (ssList @ (cons @ (skaf83 @ sk1) @ nil))
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))))
% 7.44/1.63 | ((nil) = (cons @ (skaf83 @ sk1) @ nil)))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl5207, zip_derived_cl118])).
% 7.44/1.63 thf(zip_derived_cl4964, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl4950, zip_derived_cl7, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl5452, plain,
% 7.44/1.63 ((((nil) != (nil))
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))))
% 7.44/1.63 | ((nil) = (cons @ (skaf83 @ sk1) @ nil)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl5398, zip_derived_cl4964])).
% 7.44/1.63 thf(zip_derived_cl5453, plain,
% 7.44/1.63 ((((nil) = (cons @ (skaf83 @ sk1) @ nil))
% 7.44/1.63 | ~ (ssList @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1)))))),
% 7.44/1.63 inference('simplify', [status(thm)], [zip_derived_cl5452])).
% 7.44/1.63 thf(clause116, axiom,
% 7.44/1.63 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 7.44/1.63 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 7.44/1.63 thf(zip_derived_cl115, plain,
% 7.44/1.63 (![X0 : $i, X1 : $i]:
% 7.44/1.63 (((cons @ X1 @ nil) != (X0))
% 7.44/1.63 | ~ (ssItem @ X1)
% 7.44/1.63 | ~ (ssList @ X0)
% 7.44/1.63 | (singletonP @ X0))),
% 7.44/1.63 inference('cnf', [status(esa)], [clause116])).
% 7.44/1.63 thf(clause11, axiom, (~( singletonP @ nil ))).
% 7.44/1.63 thf(zip_derived_cl10, plain, (~ (singletonP @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause11])).
% 7.44/1.63 thf(zip_derived_cl1330, plain,
% 7.44/1.63 (![X0 : $i]:
% 7.44/1.63 (~ (ssList @ nil) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 7.44/1.63 inference('dp-resolution', [status(thm)],
% 7.44/1.63 [zip_derived_cl115, zip_derived_cl10])).
% 7.44/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 7.44/1.63 inference('cnf', [status(esa)], [clause8])).
% 7.44/1.63 thf(zip_derived_cl1359, plain,
% 7.44/1.63 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl1330, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl3750, plain, (![X0 : $i]: (ssItem @ X0)),
% 7.44/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl3598, zip_derived_cl8])).
% 7.44/1.63 thf(zip_derived_cl3842, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl1359, zip_derived_cl3750])).
% 7.44/1.63 thf(zip_derived_cl5454, plain,
% 7.44/1.63 (~ (ssList @
% 7.44/1.63 (app @ (cons @ (skaf83 @ sk1) @ nil) @ (sk5 @ (skaf83 @ sk1))))),
% 7.44/1.63 inference('simplify_reflect-', [status(thm)],
% 7.44/1.63 [zip_derived_cl5453, zip_derived_cl3842])).
% 7.44/1.63 thf(zip_derived_cl5503, plain,
% 7.44/1.63 ((~ (ssList @ (cons @ (skaf83 @ sk1) @ nil))
% 7.44/1.63 | ~ (ssList @ (sk5 @ (skaf83 @ sk1))))),
% 7.44/1.63 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5454])).
% 7.44/1.63 thf(zip_derived_cl4964, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl4950, zip_derived_cl7, zip_derived_cl7])).
% 7.44/1.63 thf(zip_derived_cl5508, plain, (~ (ssList @ (sk5 @ (skaf83 @ sk1)))),
% 7.44/1.63 inference('demod', [status(thm)],
% 7.44/1.63 [zip_derived_cl5503, zip_derived_cl4964])).
% 7.44/1.63 thf(zip_derived_cl5516, plain, (~ (memberP @ sk1 @ (skaf83 @ sk1))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl3844, zip_derived_cl5508])).
% 7.44/1.63 thf(zip_derived_cl5520, plain, ((~ (ssList @ sk1) | ((nil) = (sk1)))),
% 7.44/1.63 inference('s_sup-', [status(thm)],
% 7.44/1.63 [zip_derived_cl1685, zip_derived_cl5516])).
% 7.44/1.63 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_5])).
% 7.44/1.63 thf(zip_derived_cl5522, plain, (((nil) = (sk1))),
% 7.44/1.63 inference('demod', [status(thm)], [zip_derived_cl5520, zip_derived_cl185])).
% 7.44/1.63 thf(zip_derived_cl192, plain, (((nil) != (sk1))),
% 7.44/1.63 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.44/1.63 thf(zip_derived_cl5523, plain, ($false),
% 7.44/1.63 inference('simplify_reflect-', [status(thm)],
% 7.44/1.63 [zip_derived_cl5522, zip_derived_cl192])).
% 7.44/1.63
% 7.44/1.63 % SZS output end Refutation
% 7.44/1.63
% 7.44/1.63
% 7.44/1.63 % Terminating...
% 8.02/1.74 % Runner terminated.
% 8.02/1.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------