TSTP Solution File: SWC062-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC062-1 : 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.XFH7YZlTuh true
% Computer : n022.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 21:28:52 EDT 2023
% Result : Unsatisfiable 128.16s 19.23s
% Output : Refutation 128.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC062-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XFH7YZlTuh true
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 15:51:24 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.46/0.63 % Total configuration time : 435
% 0.46/0.63 % Estimated wc time : 1092
% 0.46/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 128.16/19.23 % Solved by fo/fo6_bce.sh.
% 128.16/19.23 % BCE start: 197
% 128.16/19.23 % BCE eliminated: 0
% 128.16/19.23 % PE start: 197
% 128.16/19.23 logic: eq
% 128.16/19.23 % PE eliminated: 4
% 128.16/19.23 % done 4038 iterations in 18.468s
% 128.16/19.23 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 128.16/19.23 % SZS output start Refutation
% 128.16/19.23 thf(nil_type, type, nil: $i).
% 128.16/19.23 thf(cons_type, type, cons: $i > $i > $i).
% 128.16/19.23 thf(sk2_type, type, sk2: $i).
% 128.16/19.23 thf(sk4_type, type, sk4: $i).
% 128.16/19.23 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 128.16/19.23 thf(tl_type, type, tl: $i > $i).
% 128.16/19.23 thf(hd_type, type, hd: $i > $i).
% 128.16/19.23 thf(ssItem_type, type, ssItem: $i > $o).
% 128.16/19.23 thf(skaf82_type, type, skaf82: $i > $i).
% 128.16/19.23 thf(sk3_type, type, sk3: $i).
% 128.16/19.23 thf(skaf83_type, type, skaf83: $i > $i).
% 128.16/19.23 thf(neq_type, type, neq: $i > $i > $o).
% 128.16/19.23 thf(app_type, type, app: $i > $i > $i).
% 128.16/19.23 thf(ssList_type, type, ssList: $i > $o).
% 128.16/19.23 thf(sk1_type, type, sk1: $i).
% 128.16/19.23 thf(singletonP_type, type, singletonP: $i > $o).
% 128.16/19.23 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 128.16/19.23 thf(clause109, axiom,
% 128.16/19.23 (( ~( ssList @ U ) ) |
% 128.16/19.23 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 128.16/19.23 ( ( nil ) = ( U ) ))).
% 128.16/19.23 thf(zip_derived_cl108, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause109])).
% 128.16/19.23 thf(clause97, axiom,
% 128.16/19.23 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 128.16/19.23 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 128.16/19.23 thf(zip_derived_cl96, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause97])).
% 128.16/19.23 thf(zip_derived_cl1633, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssItem @ (skaf83 @ X0))
% 128.16/19.23 | ~ (ssList @ (skaf82 @ X0))
% 128.16/19.23 | ((hd @ X0) = (skaf83 @ X0)))),
% 128.16/19.23 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl96])).
% 128.16/19.23 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 128.16/19.23 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause12])).
% 128.16/19.23 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 128.16/19.23 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause13])).
% 128.16/19.23 thf(zip_derived_cl1638, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl1633, zip_derived_cl11, zip_derived_cl12])).
% 128.16/19.23 thf(clause75, axiom,
% 128.16/19.23 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 128.16/19.23 thf(zip_derived_cl74, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause75])).
% 128.16/19.23 thf(clause104, axiom,
% 128.16/19.23 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 128.16/19.23 ( ( nil ) = ( U ) ))).
% 128.16/19.23 thf(zip_derived_cl103, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause104])).
% 128.16/19.23 thf(zip_derived_cl1638, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl1633, zip_derived_cl11, zip_derived_cl12])).
% 128.16/19.23 thf(clause120, axiom,
% 128.16/19.23 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 128.16/19.23 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 128.16/19.23 thf(zip_derived_cl119, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause120])).
% 128.16/19.23 thf(co1_7, conjecture,
% 128.16/19.23 (~( ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 128.16/19.23 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 128.16/19.23 ( ~( ssItem @ A ) ) ))).
% 128.16/19.23 thf(zf_stmt_0, negated_conjecture,
% 128.16/19.23 (( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 128.16/19.23 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 128.16/19.23 ( ~( ssItem @ A ) )),
% 128.16/19.23 inference('cnf.neg', [status(esa)], [co1_7])).
% 128.16/19.23 thf(zip_derived_cl191, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ (cons @ X0 @ nil) @ X1) != (sk4))
% 128.16/19.23 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk3))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssItem @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 128.16/19.23 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 128.16/19.23 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 128.16/19.23 inference('cnf.neg', [status(esa)], [co1_5])).
% 128.16/19.23 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_1])).
% 128.16/19.23 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 128.16/19.23 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 128.16/19.23 inference('cnf.neg', [status(esa)], [co1_6])).
% 128.16/19.23 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_2])).
% 128.16/19.23 thf(zip_derived_cl1514, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 128.16/19.23 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssItem @ X0))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 128.16/19.23 thf(zip_derived_cl1674, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ((cons @ X1 @ X0) != (sk2))
% 128.16/19.23 | ((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssItem @ X1))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl119, zip_derived_cl1514])).
% 128.16/19.23 thf(zip_derived_cl1683, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 128.16/19.23 | ((cons @ X1 @ X0) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1674])).
% 128.16/19.23 thf(clause85, axiom,
% 128.16/19.23 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 128.16/19.23 thf(zip_derived_cl84, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause85])).
% 128.16/19.23 thf(zip_derived_cl108, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause109])).
% 128.16/19.23 thf(zip_derived_cl108, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause109])).
% 128.16/19.23 thf(zip_derived_cl1683, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 128.16/19.23 | ((cons @ X1 @ X0) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1674])).
% 128.16/19.23 thf(clause72, axiom,
% 128.16/19.23 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 128.16/19.23 thf(zip_derived_cl71, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause72])).
% 128.16/19.23 thf(clause179, axiom,
% 128.16/19.23 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 128.16/19.23 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 128.16/19.23 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 128.16/19.23 thf(zip_derived_cl178, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 128.16/19.23 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 128.16/19.23 | ~ (ssList @ X4)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssItem @ X2)
% 128.16/19.23 | ~ (duplicatefreeP @ X0)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause179])).
% 128.16/19.23 thf(zip_derived_cl1379, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 128.16/19.23 ( (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssItem @ X3)
% 128.16/19.23 | ~ (ssList @ X5)
% 128.16/19.23 | ~ (ssList @ X4)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 128.16/19.23 inference('dp-resolution', [status(thm)],
% 128.16/19.23 [zip_derived_cl71, zip_derived_cl178])).
% 128.16/19.23 thf(zip_derived_cl3491, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 128.16/19.23 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X4)
% 128.16/19.23 | ~ (ssList @ X5)
% 128.16/19.23 | ~ (ssItem @ X3)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (ssItem @ X1))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1379])).
% 128.16/19.23 thf(zip_derived_cl3499, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 128.16/19.23 (~ (ssList @ X3)
% 128.16/19.23 | ~ (ssItem @ X2)
% 128.16/19.23 | ((cons @ X2 @ X3) != (sk2))
% 128.16/19.23 | ((app @ sk1 @ (cons @ X2 @ X1)) != (X0))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ~ (ssItem @ X2)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (ssItem @ X4))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl1683, zip_derived_cl3491])).
% 128.16/19.23 thf(clause8, axiom, (ssList @ nil)).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl3519, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 128.16/19.23 (~ (ssList @ X3)
% 128.16/19.23 | ~ (ssItem @ X2)
% 128.16/19.23 | ((cons @ X2 @ X3) != (sk2))
% 128.16/19.23 | ((app @ sk1 @ (cons @ X2 @ X1)) != (X0))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ~ (ssItem @ X2)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (ssItem @ X4))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl3499, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl3520, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 128.16/19.23 ( (ssItem @ X4)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((app @ sk1 @ (cons @ X2 @ X1)) != (X0))
% 128.16/19.23 | ((cons @ X2 @ X3) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X2)
% 128.16/19.23 | ~ (ssList @ X3))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl3519])).
% 128.16/19.23 thf(zip_derived_cl4786, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ((app @ sk1 @ (cons @ (skaf83 @ X0) @ X3)) != (X2))
% 128.16/19.23 | ((X0) != (sk2))
% 128.16/19.23 | ~ (ssItem @ (skaf83 @ X0))
% 128.16/19.23 | ~ (ssList @ (skaf82 @ X0)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl108, zip_derived_cl3520])).
% 128.16/19.23 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause12])).
% 128.16/19.23 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause13])).
% 128.16/19.23 thf(zip_derived_cl4790, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ((app @ sk1 @ (cons @ (skaf83 @ X0) @ X3)) != (X2))
% 128.16/19.23 | ((X0) != (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl4786, zip_derived_cl11, zip_derived_cl12])).
% 128.16/19.23 thf(zip_derived_cl11181, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((app @ sk1 @ (cons @ (skaf83 @ sk2) @ X0)) != (X1))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | (ssItem @ X2)
% 128.16/19.23 | ~ (ssList @ sk2)
% 128.16/19.23 | ((nil) = (sk2)))),
% 128.16/19.23 inference('eq_res', [status(thm)], [zip_derived_cl4790])).
% 128.16/19.23 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 128.16/19.23 thf(zf_stmt_3, negated_conjecture, (ssList @ sk2),
% 128.16/19.23 inference('cnf.neg', [status(esa)], [co1_2])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl11182, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((app @ sk1 @ (cons @ (skaf83 @ sk2) @ X0)) != (X1))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | (ssItem @ X2)
% 128.16/19.23 | ((nil) = (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl11181, zip_derived_cl186])).
% 128.16/19.23 thf(co1_11, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 128.16/19.23 thf(zf_stmt_4, negated_conjecture,
% 128.16/19.23 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 128.16/19.23 inference('cnf.neg', [status(esa)], [co1_11])).
% 128.16/19.23 thf(zip_derived_cl195, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_4])).
% 128.16/19.23 thf(clause115, axiom,
% 128.16/19.23 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 128.16/19.23 ( ~( ssList @ U ) ))).
% 128.16/19.23 thf(zip_derived_cl114, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((X1) != (X0))
% 128.16/19.23 | ~ (neq @ X1 @ X0)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause115])).
% 128.16/19.23 thf(zip_derived_cl1416, plain,
% 128.16/19.23 ((((nil) != (sk1))
% 128.16/19.23 | ~ (ssList @ sk2)
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ((sk2) != (nil)))),
% 128.16/19.23 inference('dp-resolution', [status(thm)],
% 128.16/19.23 [zip_derived_cl195, zip_derived_cl114])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl1427, plain, ((((nil) != (sk1)) | ((sk2) != (nil)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl1416, zip_derived_cl186, zip_derived_cl7])).
% 128.16/19.23 thf(co1_8, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 128.16/19.23 thf(zf_stmt_5, negated_conjecture,
% 128.16/19.23 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 128.16/19.23 inference('cnf.neg', [status(esa)], [co1_8])).
% 128.16/19.23 thf(zip_derived_cl192, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_5])).
% 128.16/19.23 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_1])).
% 128.16/19.23 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_2])).
% 128.16/19.23 thf(zip_derived_cl1424, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl192, zip_derived_cl189, zip_derived_cl190])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl11183, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((app @ sk1 @ (cons @ (skaf83 @ sk2) @ X0)) != (X1))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | (ssItem @ X2))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl11182, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl11189, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((nil) = (sk2))
% 128.16/19.23 | ~ (ssList @ sk2)
% 128.16/19.23 | ((app @ sk1 @ sk2) != (X0))
% 128.16/19.23 | ~ (ssList @ (skaf82 @ sk2))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (ssItem @ X1))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl108, zip_derived_cl11183])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause13])).
% 128.16/19.23 thf(zip_derived_cl11198, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((nil) = (sk2))
% 128.16/19.23 | ((app @ sk1 @ sk2) != (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (ssItem @ X1))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl11189, zip_derived_cl186, zip_derived_cl12])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl11199, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ sk1 @ sk2) != (X0)) | ~ (ssList @ X0) | (ssItem @ X1))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl11198, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl11203, plain,
% 128.16/19.23 (![X0 : $i]: ( (ssItem @ X0) | ~ (ssList @ (app @ sk1 @ sk2)))),
% 128.16/19.23 inference('eq_res', [status(thm)], [zip_derived_cl11199])).
% 128.16/19.23 thf(zip_derived_cl11216, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ sk1) | ~ (ssList @ sk2) | (ssItem @ X0))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl84, zip_derived_cl11203])).
% 128.16/19.23 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 128.16/19.23 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 128.16/19.23 inference('cnf.neg', [status(esa)], [co1_1])).
% 128.16/19.23 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_6])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl11218, plain, (![X0 : $i]: (ssItem @ X0)),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl11216, zip_derived_cl185, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl11301, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 128.16/19.23 | ((cons @ X1 @ X0) != (sk2))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl1683, zip_derived_cl11218])).
% 128.16/19.23 thf(clause86, axiom,
% 128.16/19.23 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 128.16/19.23 thf(zip_derived_cl85, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause86])).
% 128.16/19.23 thf(zip_derived_cl11218, plain, (![X0 : $i]: (ssItem @ X0)),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl11216, zip_derived_cl185, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl11242, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl11218])).
% 128.16/19.23 thf(zip_derived_cl108, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause109])).
% 128.16/19.23 thf(zip_derived_cl1683, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 128.16/19.23 | ((cons @ X1 @ X0) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1674])).
% 128.16/19.23 thf(clause151, axiom,
% 128.16/19.23 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 128.16/19.23 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 128.16/19.23 thf(zip_derived_cl150, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((X2) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause151])).
% 128.16/19.23 thf(zip_derived_cl2274, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X2)
% 128.16/19.23 | ~ (ssItem @ X0)
% 128.16/19.23 | ((cons @ X0 @ X2) != (sk2))
% 128.16/19.23 | ((sk1) != (app @ X1 @ (cons @ X0 @ nil)))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((X2) = (X1)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl1683, zip_derived_cl150])).
% 128.16/19.23 thf(zip_derived_cl2300, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((X2) = (X1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((sk1) != (app @ X1 @ (cons @ X0 @ nil)))
% 128.16/19.23 | ((cons @ X0 @ X2) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X0)
% 128.16/19.23 | ~ (ssList @ X2))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl2274])).
% 128.16/19.23 thf(zip_derived_cl6501, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((skaf82 @ X0) = (X1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 128.16/19.23 | ((sk1) != (app @ X1 @ (cons @ (skaf83 @ X0) @ nil)))
% 128.16/19.23 | ((X0) != (sk2))
% 128.16/19.23 | ~ (ssItem @ (skaf83 @ X0))
% 128.16/19.23 | ~ (ssList @ (skaf82 @ X0)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl108, zip_derived_cl2300])).
% 128.16/19.23 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause12])).
% 128.16/19.23 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause13])).
% 128.16/19.23 thf(zip_derived_cl6508, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((skaf82 @ X0) = (X1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 128.16/19.23 | ((sk1) != (app @ X1 @ (cons @ (skaf83 @ X0) @ nil)))
% 128.16/19.23 | ((X0) != (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl6501, zip_derived_cl11, zip_derived_cl12])).
% 128.16/19.23 thf(zip_derived_cl26976, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 128.16/19.23 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((skaf82 @ sk2) = (X0))
% 128.16/19.23 | ~ (ssList @ sk2)
% 128.16/19.23 | ((nil) = (sk2)))),
% 128.16/19.23 inference('eq_res', [status(thm)], [zip_derived_cl6508])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl26977, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 128.16/19.23 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((skaf82 @ sk2) = (X0))
% 128.16/19.23 | ((nil) = (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl26976, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl26978, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 128.16/19.23 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((skaf82 @ sk2) = (X0)))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl26977, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl26980, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ nil)
% 128.16/19.23 | ((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((skaf82 @ sk2) = (X0)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl11242, zip_derived_cl26978])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl26983, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((skaf82 @ sk2) = (X0)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl26980, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl27649, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ sk2) @ X0) != (sk2))
% 128.16/19.23 | ((sk1) != (sk1))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((skaf82 @ sk2) = (X0)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl11301, zip_derived_cl26983])).
% 128.16/19.23 thf(zip_derived_cl27666, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((skaf82 @ sk2) = (X0))
% 128.16/19.23 | ((cons @ (skaf83 @ sk2) @ X0) != (sk2))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl27649])).
% 128.16/19.23 thf(zip_derived_cl28361, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ sk2)
% 128.16/19.23 | ((nil) = (sk2))
% 128.16/19.23 | ((skaf82 @ sk2) = (X0))
% 128.16/19.23 | ((cons @ (hd @ sk2) @ X0) != (sk2))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl1638, zip_derived_cl27666])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl28370, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((nil) = (sk2))
% 128.16/19.23 | ((skaf82 @ sk2) = (X0))
% 128.16/19.23 | ((cons @ (hd @ sk2) @ X0) != (sk2))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl28361, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl28371, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((skaf82 @ sk2) = (X0))
% 128.16/19.23 | ((cons @ (hd @ sk2) @ X0) != (sk2))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28370, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl28583, plain,
% 128.16/19.23 ((((nil) = (sk2))
% 128.16/19.23 | ~ (ssList @ sk2)
% 128.16/19.23 | ((skaf82 @ sk2) = (tl @ sk2))
% 128.16/19.23 | ((sk2) != (sk2))
% 128.16/19.23 | ~ (ssList @ (tl @ sk2)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl103, zip_derived_cl28371])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl28584, plain,
% 128.16/19.23 ((((nil) = (sk2))
% 128.16/19.23 | ((skaf82 @ sk2) = (tl @ sk2))
% 128.16/19.23 | ((sk2) != (sk2))
% 128.16/19.23 | ~ (ssList @ (tl @ sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl28583, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl28585, plain,
% 128.16/19.23 ((~ (ssList @ (tl @ sk2))
% 128.16/19.23 | ((skaf82 @ sk2) = (tl @ sk2))
% 128.16/19.23 | ((nil) = (sk2)))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl28584])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl28586, plain,
% 128.16/19.23 ((~ (ssList @ (tl @ sk2)) | ((skaf82 @ sk2) = (tl @ sk2)))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28585, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl28587, plain,
% 128.16/19.23 ((((nil) = (sk2)) | ~ (ssList @ sk2) | ((skaf82 @ sk2) = (tl @ sk2)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl74, zip_derived_cl28586])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl28588, plain,
% 128.16/19.23 ((((nil) = (sk2)) | ((skaf82 @ sk2) = (tl @ sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl28587, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl28589, plain, (((skaf82 @ sk2) = (tl @ sk2))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28588, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl108, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause109])).
% 128.16/19.23 thf(zip_derived_cl28600, plain,
% 128.16/19.23 ((~ (ssList @ sk2)
% 128.16/19.23 | ((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))
% 128.16/19.23 | ((nil) = (sk2)))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl28589, zip_derived_cl108])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl28610, plain,
% 128.16/19.23 ((((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl28600, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl28611, plain,
% 128.16/19.23 (((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28610, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl29382, plain,
% 128.16/19.23 ((~ (ssList @ sk2)
% 128.16/19.23 | ((nil) = (sk2))
% 128.16/19.23 | ((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl1638, zip_derived_cl28611])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl29383, plain,
% 128.16/19.23 ((((nil) = (sk2)) | ((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl29382, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl29384, plain, (((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl29383, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl28611, plain,
% 128.16/19.23 (((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28610, zip_derived_cl1428])).
% 128.16/19.23 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 128.16/19.23 thf(zip_derived_cl72, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause73])).
% 128.16/19.23 thf(zip_derived_cl11242, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl11218])).
% 128.16/19.23 thf(zip_derived_cl1683, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 128.16/19.23 | ((cons @ X1 @ X0) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1674])).
% 128.16/19.23 thf(clause149, axiom,
% 128.16/19.23 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 128.16/19.23 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 128.16/19.23 thf(zip_derived_cl148, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause149])).
% 128.16/19.23 thf(zip_derived_cl2207, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ (app @ X2 @ X1))
% 128.16/19.23 | ~ (ssItem @ X0)
% 128.16/19.23 | ((cons @ X0 @ (app @ X2 @ X1)) != (sk2))
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((sk1) = (app @ X2 @ (app @ X1 @ (cons @ X0 @ nil)))))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl1683, zip_derived_cl148])).
% 128.16/19.23 thf(zip_derived_cl84, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause85])).
% 128.16/19.23 thf(zip_derived_cl5593, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((sk1) = (app @ X2 @ (app @ X1 @ (cons @ X0 @ nil))))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((cons @ X0 @ (app @ X2 @ X1)) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X0))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl2207, zip_derived_cl84])).
% 128.16/19.23 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 128.16/19.23 thf(zip_derived_cl73, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause74])).
% 128.16/19.23 thf(clause173, axiom,
% 128.16/19.23 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 128.16/19.23 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 128.16/19.23 ( segmentP @ X @ V ))).
% 128.16/19.23 thf(zip_derived_cl172, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ X0 @ X2))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause173])).
% 128.16/19.23 thf(zip_derived_cl3039, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((app @ X0 @ X2) != (X1))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | (segmentP @ X1 @ X0))),
% 128.16/19.23 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl3066, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((app @ X0 @ X2) != (X1))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | (segmentP @ X1 @ X0))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl3039, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl3067, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 ( (segmentP @ X1 @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((app @ X0 @ X2) != (X1))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl3066])).
% 128.16/19.23 thf(zip_derived_cl5616, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (~ (ssItem @ X1)
% 128.16/19.23 | ((cons @ X1 @ (app @ X3 @ X2)) != (sk2))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | (segmentP @ X0 @ X3)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ (app @ X2 @ (cons @ X1 @ nil)))
% 128.16/19.23 | ((sk1) != (X0))
% 128.16/19.23 | ~ (ssList @ X3))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl5593, zip_derived_cl3067])).
% 128.16/19.23 thf(zip_derived_cl5703, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (((sk1) != (X0))
% 128.16/19.23 | ~ (ssList @ (app @ X2 @ (cons @ X1 @ nil)))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ X0 @ X3)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ((cons @ X1 @ (app @ X3 @ X2)) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X1))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl5616])).
% 128.16/19.23 thf(zip_derived_cl11218, plain, (![X0 : $i]: (ssItem @ X0)),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl11216, zip_derived_cl185, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl17367, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (((sk1) != (X0))
% 128.16/19.23 | ~ (ssList @ (app @ X2 @ (cons @ X1 @ nil)))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ X0 @ X3)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ((cons @ X1 @ (app @ X3 @ X2)) != (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl5703, zip_derived_cl11218])).
% 128.16/19.23 thf(zip_derived_cl84, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause85])).
% 128.16/19.23 thf(zip_derived_cl17368, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (((cons @ X1 @ (app @ X3 @ X2)) != (sk2))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | (segmentP @ X0 @ X3)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((sk1) != (X0)))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl17367, zip_derived_cl84])).
% 128.16/19.23 thf(zip_derived_cl17369, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ sk1)
% 128.16/19.23 | (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ (cons @ X2 @ nil))
% 128.16/19.23 | ((cons @ X2 @ (app @ X0 @ X1)) != (sk2)))),
% 128.16/19.23 inference('eq_res', [status(thm)], [zip_derived_cl17368])).
% 128.16/19.23 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_6])).
% 128.16/19.23 thf(zip_derived_cl17370, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 ( (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ (cons @ X2 @ nil))
% 128.16/19.23 | ((cons @ X2 @ (app @ X0 @ X1)) != (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl17369, zip_derived_cl185])).
% 128.16/19.23 thf(zip_derived_cl25008, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ nil)
% 128.16/19.23 | (segmentP @ sk1 @ X1)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((cons @ X0 @ (app @ X1 @ X2)) != (sk2)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl11242, zip_derived_cl17370])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl25013, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 ( (segmentP @ sk1 @ X1)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((cons @ X0 @ (app @ X1 @ X2)) != (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl25008, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl25056, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ((cons @ X1 @ X0) != (sk2)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl72, zip_derived_cl25013])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl25094, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((cons @ X1 @ X0) != (sk2)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl25056, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl25095, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((cons @ X1 @ X0) != (sk2))
% 128.16/19.23 | (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl25094])).
% 128.16/19.23 thf(zip_derived_cl29300, plain,
% 128.16/19.23 ((((sk2) != (sk2))
% 128.16/19.23 | (segmentP @ sk1 @ (tl @ sk2))
% 128.16/19.23 | ~ (ssList @ (tl @ sk2)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28611, zip_derived_cl25095])).
% 128.16/19.23 thf(zip_derived_cl28589, plain, (((skaf82 @ sk2) = (tl @ sk2))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28588, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause13])).
% 128.16/19.23 thf(zip_derived_cl28599, plain, ( (ssList @ (tl @ sk2))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl28589, zip_derived_cl12])).
% 128.16/19.23 thf(zip_derived_cl29422, plain,
% 128.16/19.23 ((((sk2) != (sk2)) | (segmentP @ sk1 @ (tl @ sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl29300, zip_derived_cl28599])).
% 128.16/19.23 thf(zip_derived_cl29423, plain, ( (segmentP @ sk1 @ (tl @ sk2))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl29422])).
% 128.16/19.23 thf(clause100, axiom,
% 128.16/19.23 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 128.16/19.23 ( ( V ) = ( U ) ))).
% 128.16/19.23 thf(zip_derived_cl99, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause100])).
% 128.16/19.23 thf(co1_10, conjecture,
% 128.16/19.23 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 128.16/19.23 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 128.16/19.23 thf(zf_stmt_7, negated_conjecture,
% 128.16/19.23 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 128.16/19.23 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) )),
% 128.16/19.23 inference('cnf.neg', [status(esa)], [co1_10])).
% 128.16/19.23 thf(zip_derived_cl194, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (segmentP @ sk2 @ X0)
% 128.16/19.23 | ~ (neq @ X0 @ nil)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((nil) = (sk2)))),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_7])).
% 128.16/19.23 thf(zip_derived_cl1402, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((X0) = (nil))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ((nil) = (sk2))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (segmentP @ sk2 @ X0)
% 128.16/19.23 | ~ (segmentP @ sk1 @ X0))),
% 128.16/19.23 inference('dp-resolution', [status(thm)],
% 128.16/19.23 [zip_derived_cl99, zip_derived_cl194])).
% 128.16/19.23 thf(zip_derived_cl1502, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (segmentP @ sk2 @ X0)
% 128.16/19.23 | ((nil) = (sk2))
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((X0) = (nil)))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1402])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl1503, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (segmentP @ sk2 @ X0)
% 128.16/19.23 | ((nil) = (sk2))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((X0) = (nil)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl1502, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl1504, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (segmentP @ sk2 @ X0)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((X0) = (nil)))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl1503, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl29803, plain,
% 128.16/19.23 ((~ (segmentP @ sk2 @ (tl @ sk2))
% 128.16/19.23 | ~ (ssList @ (tl @ sk2))
% 128.16/19.23 | ((tl @ sk2) = (nil)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl29423, zip_derived_cl1504])).
% 128.16/19.23 thf(zip_derived_cl28599, plain, ( (ssList @ (tl @ sk2))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl28589, zip_derived_cl12])).
% 128.16/19.23 thf(zip_derived_cl29811, plain,
% 128.16/19.23 ((~ (segmentP @ sk2 @ (tl @ sk2)) | ((tl @ sk2) = (nil)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl29803, zip_derived_cl28599])).
% 128.16/19.23 thf(zip_derived_cl11242, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl11218])).
% 128.16/19.23 thf(zip_derived_cl72, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause73])).
% 128.16/19.23 thf(zip_derived_cl28611, plain,
% 128.16/19.23 (((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28610, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl11242, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl11218])).
% 128.16/19.23 thf(zip_derived_cl119, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause120])).
% 128.16/19.23 thf(zip_derived_cl148, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause149])).
% 128.16/19.23 thf(zip_derived_cl2216, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ((app @ (cons @ X1 @ X0) @ X2)
% 128.16/19.23 = (app @ (cons @ X1 @ nil) @ (app @ X0 @ X2))))),
% 128.16/19.23 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl148])).
% 128.16/19.23 thf(zip_derived_cl2232, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((app @ (cons @ X1 @ X0) @ X2)
% 128.16/19.23 = (app @ (cons @ X1 @ nil) @ (app @ X0 @ X2)))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl2216])).
% 128.16/19.23 thf(zip_derived_cl11218, plain, (![X0 : $i]: (ssItem @ X0)),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl11216, zip_derived_cl185, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl25229, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((app @ (cons @ X1 @ X0) @ X2)
% 128.16/19.23 = (app @ (cons @ X1 @ nil) @ (app @ X0 @ X2)))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl2232, zip_derived_cl11218])).
% 128.16/19.23 thf(zip_derived_cl148, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause149])).
% 128.16/19.23 thf(zip_derived_cl72, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause73])).
% 128.16/19.23 thf(zip_derived_cl150, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((X2) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause151])).
% 128.16/19.23 thf(zip_derived_cl2272, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((X0) != (app @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((X0) = (X1)))),
% 128.16/19.23 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl150])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl2296, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((X0) != (app @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((X0) = (X1)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl2272, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl2297, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((X0) = (X1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((X0) != (app @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl2296])).
% 128.16/19.23 thf(zip_derived_cl2333, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ((X2) = (app @ X1 @ X0))
% 128.16/19.23 | ~ (ssList @ (app @ X1 @ X0))
% 128.16/19.23 | ((X2) != (app @ X1 @ (app @ X0 @ nil)))
% 128.16/19.23 | ~ (ssList @ X2))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl148, zip_derived_cl2297])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl2343, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((X2) = (app @ X1 @ X0))
% 128.16/19.23 | ~ (ssList @ (app @ X1 @ X0))
% 128.16/19.23 | ((X2) != (app @ X1 @ (app @ X0 @ nil)))
% 128.16/19.23 | ~ (ssList @ X2))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl2333, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl84, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause85])).
% 128.16/19.23 thf(zip_derived_cl24908, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X2)
% 128.16/19.23 | ((X2) != (app @ X1 @ (app @ X0 @ nil)))
% 128.16/19.23 | ((X2) = (app @ X1 @ X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl2343, zip_derived_cl84])).
% 128.16/19.23 thf(zip_derived_cl25293, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((X2) != (app @ (cons @ X1 @ X0) @ nil))
% 128.16/19.23 | ((X2) = (app @ (cons @ X1 @ nil) @ X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl25229, zip_derived_cl24908])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl25480, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((X2) != (app @ (cons @ X1 @ X0) @ nil))
% 128.16/19.23 | ((X2) = (app @ (cons @ X1 @ nil) @ X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl25293, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl25481, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((X2) = (app @ (cons @ X1 @ nil) @ X0))
% 128.16/19.23 | ((X2) != (app @ (cons @ X1 @ X0) @ nil))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl25480])).
% 128.16/19.23 thf(zip_derived_cl26067, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ nil)
% 128.16/19.23 | ((X1) = (app @ (cons @ X0 @ nil) @ X2))
% 128.16/19.23 | ((X1) != (app @ (cons @ X0 @ X2) @ nil))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl11242, zip_derived_cl25481])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl26072, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((X1) = (app @ (cons @ X0 @ nil) @ X2))
% 128.16/19.23 | ((X1) != (app @ (cons @ X0 @ X2) @ nil))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl26067, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl29305, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((X0) = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2)))
% 128.16/19.23 | ((X0) != (app @ sk2 @ nil))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ (tl @ sk2)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl28611, zip_derived_cl26072])).
% 128.16/19.23 thf(zip_derived_cl28599, plain, ( (ssList @ (tl @ sk2))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl28589, zip_derived_cl12])).
% 128.16/19.23 thf(zip_derived_cl29428, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((X0) = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2)))
% 128.16/19.23 | ((X0) != (app @ sk2 @ nil))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl29305, zip_derived_cl28599])).
% 128.16/19.23 thf(zip_derived_cl36112, plain,
% 128.16/19.23 ((~ (ssList @ (app @ sk2 @ nil))
% 128.16/19.23 | ((app @ sk2 @ nil)
% 128.16/19.23 = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2))))),
% 128.16/19.23 inference('eq_res', [status(thm)], [zip_derived_cl29428])).
% 128.16/19.23 thf(zip_derived_cl36119, plain,
% 128.16/19.23 ((~ (ssList @ sk2)
% 128.16/19.23 | ~ (ssList @ sk2)
% 128.16/19.23 | ((sk2) = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2))))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl72, zip_derived_cl36112])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl36124, plain,
% 128.16/19.23 (((sk2) = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl36119, zip_derived_cl186, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl72, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause73])).
% 128.16/19.23 thf(zip_derived_cl148, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause149])).
% 128.16/19.23 thf(zip_derived_cl172, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ X0 @ X2))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause173])).
% 128.16/19.23 thf(zip_derived_cl3031, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 (~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | (segmentP @ X3 @ X1))),
% 128.16/19.23 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 128.16/19.23 thf(zip_derived_cl3055, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 128.16/19.23 ( (segmentP @ X3 @ X1)
% 128.16/19.23 | ~ (ssList @ X3)
% 128.16/19.23 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssList @ X2))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl3031])).
% 128.16/19.23 thf(zip_derived_cl3936, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ X1 @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((app @ X2 @ X0) != (X1))
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X2))),
% 128.16/19.23 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl3055])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl3956, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ X1 @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((app @ X2 @ X0) != (X1))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X2))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl3936, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl3957, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X2)
% 128.16/19.23 | ((app @ X2 @ X0) != (X1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | (segmentP @ X1 @ X0)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl3956])).
% 128.16/19.23 thf(zip_derived_cl4155, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ (app @ X1 @ X0) @ X0)
% 128.16/19.23 | ~ (ssList @ (app @ X1 @ X0))
% 128.16/19.23 | ~ (ssList @ X1))),
% 128.16/19.23 inference('eq_res', [status(thm)], [zip_derived_cl3957])).
% 128.16/19.23 thf(zip_derived_cl84, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause85])).
% 128.16/19.23 thf(zip_derived_cl13751, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X1)
% 128.16/19.23 | (segmentP @ (app @ X1 @ X0) @ X0)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl4155, zip_derived_cl84])).
% 128.16/19.23 thf(zip_derived_cl36259, plain,
% 128.16/19.23 ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 128.16/19.23 | (segmentP @ sk2 @ (tl @ sk2))
% 128.16/19.23 | ~ (ssList @ (tl @ sk2)))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl36124, zip_derived_cl13751])).
% 128.16/19.23 thf(zip_derived_cl28599, plain, ( (ssList @ (tl @ sk2))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl28589, zip_derived_cl12])).
% 128.16/19.23 thf(zip_derived_cl36379, plain,
% 128.16/19.23 ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 128.16/19.23 | (segmentP @ sk2 @ (tl @ sk2)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl36259, zip_derived_cl28599])).
% 128.16/19.23 thf(zip_derived_cl40743, plain,
% 128.16/19.23 ((~ (ssList @ nil) | (segmentP @ sk2 @ (tl @ sk2)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl11242, zip_derived_cl36379])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl40746, plain, ( (segmentP @ sk2 @ (tl @ sk2))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl40743, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl40751, plain, (((tl @ sk2) = (nil))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl29811, zip_derived_cl40746])).
% 128.16/19.23 thf(zip_derived_cl40791, plain, (((cons @ (hd @ sk2) @ nil) = (sk2))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl29384, zip_derived_cl40751])).
% 128.16/19.23 thf(clause57, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ U ))).
% 128.16/19.23 thf(zip_derived_cl56, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause57])).
% 128.16/19.23 thf(zip_derived_cl1638, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl1633, zip_derived_cl11, zip_derived_cl12])).
% 128.16/19.23 thf(zip_derived_cl108, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause109])).
% 128.16/19.23 thf(zip_derived_cl85, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause86])).
% 128.16/19.23 thf(zip_derived_cl119, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause120])).
% 128.16/19.23 thf(zip_derived_cl72, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause73])).
% 128.16/19.23 thf(clause150, axiom,
% 128.16/19.23 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 128.16/19.23 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 128.16/19.23 thf(zip_derived_cl149, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 128.16/19.23 | ~ (ssList @ X2)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((X2) = (X1)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause150])).
% 128.16/19.23 thf(zip_derived_cl1554, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((X0) != (app @ X0 @ X1))
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((nil) = (X1)))),
% 128.16/19.23 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl149])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl1564, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((X0) != (app @ X0 @ X1))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((nil) = (X1)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl1554, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl1565, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((nil) = (X1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ((X0) != (app @ X0 @ X1))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1564])).
% 128.16/19.23 thf(zip_derived_cl1672, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((cons @ X1 @ nil) != (cons @ X1 @ X0))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl119, zip_derived_cl1565])).
% 128.16/19.23 thf(zip_derived_cl1681, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ((cons @ X1 @ nil) != (cons @ X1 @ X0))
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1672])).
% 128.16/19.23 thf(zip_derived_cl1703, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ nil)
% 128.16/19.23 | ~ (ssItem @ X0)
% 128.16/19.23 | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 128.16/19.23 | ((nil) = (X1))
% 128.16/19.23 | ~ (ssItem @ X0)
% 128.16/19.23 | ~ (ssList @ X1))),
% 128.16/19.23 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1681])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl1704, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X0)
% 128.16/19.23 | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 128.16/19.23 | ((nil) = (X1))
% 128.16/19.23 | ~ (ssItem @ X0)
% 128.16/19.23 | ~ (ssList @ X1))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl1703, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl1705, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssList @ X1)
% 128.16/19.23 | ((nil) = (X1))
% 128.16/19.23 | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 128.16/19.23 | ~ (ssItem @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1704])).
% 128.16/19.23 thf(zip_derived_cl1706, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (ssList @ (skaf82 @ X0))
% 128.16/19.23 | ((nil) = (skaf82 @ X0))
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ nil) != (X0))
% 128.16/19.23 | ~ (ssItem @ (skaf83 @ X0)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl108, zip_derived_cl1705])).
% 128.16/19.23 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause13])).
% 128.16/19.23 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause12])).
% 128.16/19.23 thf(zip_derived_cl1709, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((nil) = (skaf82 @ X0))
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ nil) != (X0)))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl1706, zip_derived_cl12, zip_derived_cl11])).
% 128.16/19.23 thf(zip_derived_cl1745, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((nil) = (skaf82 @ X0))
% 128.16/19.23 | ((cons @ (hd @ X0) @ nil) != (X0)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl1638, zip_derived_cl1709])).
% 128.16/19.23 thf(zip_derived_cl1746, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((cons @ (hd @ X0) @ nil) != (X0))
% 128.16/19.23 | ((nil) = (skaf82 @ X0))
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1745])).
% 128.16/19.23 thf(zip_derived_cl108, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause109])).
% 128.16/19.23 thf(zip_derived_cl1770, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ((cons @ (hd @ X0) @ nil) != (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((cons @ (skaf83 @ X0) @ nil) = (X0))
% 128.16/19.23 | ((nil) = (X0)))),
% 128.16/19.23 inference('s_sup+', [status(thm)],
% 128.16/19.23 [zip_derived_cl1746, zip_derived_cl108])).
% 128.16/19.23 thf(zip_derived_cl1776, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((cons @ (skaf83 @ X0) @ nil) = (X0))
% 128.16/19.23 | ((cons @ (hd @ X0) @ nil) != (X0))
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl1770])).
% 128.16/19.23 thf(zip_derived_cl72, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause73])).
% 128.16/19.23 thf(zip_derived_cl1514, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 128.16/19.23 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | ~ (ssItem @ X0))),
% 128.16/19.23 inference('demod', [status(thm)],
% 128.16/19.23 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 128.16/19.23 thf(zip_derived_cl1516, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((cons @ X0 @ nil) != (sk2))
% 128.16/19.23 | ((app @ nil @ (cons @ X0 @ nil)) = (sk1))
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ~ (ssItem @ X0))),
% 128.16/19.23 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl1514])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl1518, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((cons @ X0 @ nil) != (sk2))
% 128.16/19.23 | ((app @ nil @ (cons @ X0 @ nil)) = (sk1))
% 128.16/19.23 | ~ (ssItem @ X0))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl1516, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl3957, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 128.16/19.23 (~ (ssList @ X2)
% 128.16/19.23 | ((app @ X2 @ X0) != (X1))
% 128.16/19.23 | ~ (ssList @ X1)
% 128.16/19.23 | (segmentP @ X1 @ X0)
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl3956])).
% 128.16/19.23 thf(zip_derived_cl4145, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X1)
% 128.16/19.23 | ((cons @ X1 @ nil) != (sk2))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ nil)
% 128.16/19.23 | ((sk1) != (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ X0 @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl1518, zip_derived_cl3957])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl4165, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (~ (ssItem @ X1)
% 128.16/19.23 | ((cons @ X1 @ nil) != (sk2))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ((sk1) != (X0))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (segmentP @ X0 @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl4145, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl4166, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 ( (segmentP @ X0 @ (cons @ X1 @ nil))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((sk1) != (X0))
% 128.16/19.23 | ~ (ssList @ (cons @ X1 @ nil))
% 128.16/19.23 | ((cons @ X1 @ nil) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X1))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl4165])).
% 128.16/19.23 thf(zip_derived_cl1504, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (segmentP @ sk1 @ X0)
% 128.16/19.23 | ~ (segmentP @ sk2 @ X0)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ((X0) = (nil)))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl1503, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl8348, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssItem @ X0)
% 128.16/19.23 | ((cons @ X0 @ nil) != (sk2))
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((sk1) != (sk1))
% 128.16/19.23 | ~ (ssList @ sk1)
% 128.16/19.23 | ~ (segmentP @ sk2 @ (cons @ X0 @ nil))
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((cons @ X0 @ nil) = (nil)))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl4166, zip_derived_cl1504])).
% 128.16/19.23 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_6])).
% 128.16/19.23 thf(zip_derived_cl8368, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssItem @ X0)
% 128.16/19.23 | ((cons @ X0 @ nil) != (sk2))
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((sk1) != (sk1))
% 128.16/19.23 | ~ (segmentP @ sk2 @ (cons @ X0 @ nil))
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((cons @ X0 @ nil) = (nil)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl8348, zip_derived_cl185])).
% 128.16/19.23 thf(zip_derived_cl8369, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (((cons @ X0 @ nil) = (nil))
% 128.16/19.23 | ~ (segmentP @ sk2 @ (cons @ X0 @ nil))
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ((cons @ X0 @ nil) != (sk2))
% 128.16/19.23 | ~ (ssItem @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl8368])).
% 128.16/19.23 thf(clause116, axiom,
% 128.16/19.23 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 128.16/19.23 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 128.16/19.23 thf(zip_derived_cl115, plain,
% 128.16/19.23 (![X0 : $i, X1 : $i]:
% 128.16/19.23 (((cons @ X1 @ nil) != (X0))
% 128.16/19.23 | ~ (ssItem @ X1)
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | (singletonP @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause116])).
% 128.16/19.23 thf(clause11, axiom, (~( singletonP @ nil ))).
% 128.16/19.23 thf(zip_derived_cl10, plain, (~ (singletonP @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause11])).
% 128.16/19.23 thf(zip_derived_cl1375, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ nil) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 128.16/19.23 inference('dp-resolution', [status(thm)],
% 128.16/19.23 [zip_derived_cl115, zip_derived_cl10])).
% 128.16/19.23 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 128.16/19.23 inference('cnf', [status(esa)], [clause8])).
% 128.16/19.23 thf(zip_derived_cl1434, plain,
% 128.16/19.23 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl1375, zip_derived_cl7])).
% 128.16/19.23 thf(zip_derived_cl8373, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssItem @ X0)
% 128.16/19.23 | ((cons @ X0 @ nil) != (sk2))
% 128.16/19.23 | ~ (ssList @ (cons @ X0 @ nil))
% 128.16/19.23 | ~ (segmentP @ sk2 @ (cons @ X0 @ nil)))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl8369, zip_derived_cl1434])).
% 128.16/19.23 thf(zip_derived_cl8374, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ((cons @ (hd @ X0) @ nil) != (X0))
% 128.16/19.23 | ~ (ssItem @ (skaf83 @ X0))
% 128.16/19.23 | ((X0) != (sk2))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (segmentP @ sk2 @ X0))),
% 128.16/19.23 inference('s_sup-', [status(thm)],
% 128.16/19.23 [zip_derived_cl1776, zip_derived_cl8373])).
% 128.16/19.23 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 128.16/19.23 inference('cnf', [status(esa)], [clause12])).
% 128.16/19.23 thf(zip_derived_cl8378, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (ssList @ X0)
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ((cons @ (hd @ X0) @ nil) != (X0))
% 128.16/19.23 | ((X0) != (sk2))
% 128.16/19.23 | ~ (ssList @ X0)
% 128.16/19.23 | ~ (segmentP @ sk2 @ X0))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl8374, zip_derived_cl11])).
% 128.16/19.23 thf(zip_derived_cl8379, plain,
% 128.16/19.23 (![X0 : $i]:
% 128.16/19.23 (~ (segmentP @ sk2 @ X0)
% 128.16/19.23 | ((X0) != (sk2))
% 128.16/19.23 | ((cons @ (hd @ X0) @ nil) != (X0))
% 128.16/19.23 | ((nil) = (X0))
% 128.16/19.23 | ~ (ssList @ X0))),
% 128.16/19.23 inference('simplify', [status(thm)], [zip_derived_cl8378])).
% 128.16/19.23 thf(zip_derived_cl8385, plain,
% 128.16/19.23 ((~ (ssList @ sk2)
% 128.16/19.23 | ((nil) = (sk2))
% 128.16/19.23 | ((cons @ (hd @ sk2) @ nil) != (sk2))
% 128.16/19.23 | ~ (segmentP @ sk2 @ sk2))),
% 128.16/19.23 inference('eq_res', [status(thm)], [zip_derived_cl8379])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl8386, plain,
% 128.16/19.23 ((((nil) = (sk2))
% 128.16/19.23 | ((cons @ (hd @ sk2) @ nil) != (sk2))
% 128.16/19.23 | ~ (segmentP @ sk2 @ sk2))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl8385, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl1428, plain, (((sk2) != (nil))),
% 128.16/19.23 inference('clc', [status(thm)], [zip_derived_cl1427, zip_derived_cl1424])).
% 128.16/19.23 thf(zip_derived_cl8387, plain,
% 128.16/19.23 ((((cons @ (hd @ sk2) @ nil) != (sk2)) | ~ (segmentP @ sk2 @ sk2))),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl8386, zip_derived_cl1428])).
% 128.16/19.23 thf(zip_derived_cl8438, plain,
% 128.16/19.23 ((~ (ssList @ sk2) | ((cons @ (hd @ sk2) @ nil) != (sk2)))),
% 128.16/19.23 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl8387])).
% 128.16/19.23 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 128.16/19.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 128.16/19.23 thf(zip_derived_cl8442, plain, (((cons @ (hd @ sk2) @ nil) != (sk2))),
% 128.16/19.23 inference('demod', [status(thm)], [zip_derived_cl8438, zip_derived_cl186])).
% 128.16/19.23 thf(zip_derived_cl40792, plain, ($false),
% 128.16/19.23 inference('simplify_reflect-', [status(thm)],
% 128.16/19.23 [zip_derived_cl40791, zip_derived_cl8442])).
% 128.16/19.23
% 128.16/19.23 % SZS output end Refutation
% 128.16/19.23
% 128.16/19.23
% 128.16/19.23 % Terminating...
% 128.44/19.33 % Runner terminated.
% 128.44/19.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------