TSTP Solution File: SWC285-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC285-1 : 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.n5l4vqt7Tk true
% Computer : n019.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 21:30:28 EDT 2023
% Result : Unsatisfiable 5.27s 1.54s
% Output : Refutation 5.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC285-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n5l4vqt7Tk true
% 0.15/0.38 % Computer : n019.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon Aug 28 17:12:13 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.39 % Running in FO mode
% 0.25/0.65 % Total configuration time : 435
% 0.25/0.65 % Estimated wc time : 1092
% 0.25/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.25/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.25/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.25/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.25/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.25/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.27/1.54 % Solved by fo/fo13.sh.
% 5.27/1.54 % done 1038 iterations in 0.733s
% 5.27/1.54 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.27/1.54 % SZS output start Refutation
% 5.27/1.54 thf(nil_type, type, nil: $i).
% 5.27/1.54 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 5.27/1.54 thf(cons_type, type, cons: $i > $i > $i).
% 5.27/1.54 thf(sk2_type, type, sk2: $i).
% 5.27/1.54 thf(sk8_type, type, sk8: $i).
% 5.27/1.54 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 5.27/1.54 thf(sk6_type, type, sk6: $i).
% 5.27/1.54 thf(sk4_type, type, sk4: $i).
% 5.27/1.54 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 5.27/1.54 thf(tl_type, type, tl: $i > $i).
% 5.27/1.54 thf(memberP_type, type, memberP: $i > $i > $o).
% 5.27/1.54 thf(hd_type, type, hd: $i > $i).
% 5.27/1.54 thf(ssItem_type, type, ssItem: $i > $o).
% 5.27/1.54 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 5.27/1.54 thf(skaf44_type, type, skaf44: $i > $i).
% 5.27/1.54 thf(skaf82_type, type, skaf82: $i > $i).
% 5.27/1.54 thf(sk5_type, type, sk5: $i).
% 5.27/1.54 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 5.27/1.54 thf(sk3_type, type, sk3: $i).
% 5.27/1.54 thf(neq_type, type, neq: $i > $i > $o).
% 5.27/1.54 thf(app_type, type, app: $i > $i > $i).
% 5.27/1.54 thf(ssList_type, type, ssList: $i > $o).
% 5.27/1.54 thf(sk7_type, type, sk7: $i).
% 5.27/1.54 thf(sk1_type, type, sk1: $i).
% 5.27/1.54 thf(singletonP_type, type, singletonP: $i > $o).
% 5.27/1.54 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 5.27/1.54 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 5.27/1.54 thf(zip_derived_cl55, plain,
% 5.27/1.54 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause56])).
% 5.27/1.54 thf(co1_7, conjecture, (~( segmentP @ sk4 @ sk3 ))).
% 5.27/1.54 thf(zf_stmt_0, negated_conjecture, (segmentP @ sk4 @ sk3),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_7])).
% 5.27/1.54 thf(zip_derived_cl191, plain, ( (segmentP @ sk4 @ sk3)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.27/1.54 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 5.27/1.54 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_5])).
% 5.27/1.54 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.27/1.54 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 5.27/1.54 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_6])).
% 5.27/1.54 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.27/1.54 thf(zip_derived_cl204, plain, ( (segmentP @ sk2 @ sk1)),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 5.27/1.54 thf(clause127, axiom,
% 5.27/1.54 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ U ) ) |
% 5.27/1.54 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 5.27/1.54 thf(zip_derived_cl126, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (segmentP @ X0 @ X1)
% 5.27/1.54 | ~ (segmentP @ X1 @ X0)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ((X1) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause127])).
% 5.27/1.54 thf(zip_derived_cl395, plain,
% 5.27/1.54 ((~ (segmentP @ sk1 @ sk2)
% 5.27/1.54 | ~ (ssList @ sk2)
% 5.27/1.54 | ~ (ssList @ sk1)
% 5.27/1.54 | ((sk1) = (sk2)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl204, zip_derived_cl126])).
% 5.27/1.54 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 5.27/1.54 thf(zf_stmt_3, negated_conjecture, (ssList @ sk2),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_2])).
% 5.27/1.54 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.27/1.54 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 5.27/1.54 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_1])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl400, plain, ((~ (segmentP @ sk1 @ sk2) | ((sk1) = (sk2)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl395, zip_derived_cl186, zip_derived_cl185])).
% 5.27/1.54 thf(clause75, axiom,
% 5.27/1.54 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 5.27/1.54 thf(zip_derived_cl74, plain,
% 5.27/1.54 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause75])).
% 5.27/1.54 thf(clause100, axiom,
% 5.27/1.54 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 5.27/1.54 ( ( V ) = ( U ) ))).
% 5.27/1.54 thf(zip_derived_cl99, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause100])).
% 5.27/1.54 thf(co1_17, conjecture,
% 5.27/1.54 (~( ( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 ) ))).
% 5.27/1.54 thf(zf_stmt_5, negated_conjecture,
% 5.27/1.54 (( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 )),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_17])).
% 5.27/1.54 thf(zip_derived_cl201, plain, ((~ (neq @ sk4 @ nil) | (singletonP @ sk3))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.27/1.54 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.27/1.54 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.27/1.54 thf(zip_derived_cl205, plain, ((~ (neq @ sk2 @ nil) | (singletonP @ sk1))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl201, zip_derived_cl189, zip_derived_cl190])).
% 5.27/1.54 thf(zip_derived_cl304, plain,
% 5.27/1.54 ((((sk2) = (nil))
% 5.27/1.54 | ~ (ssList @ sk2)
% 5.27/1.54 | ~ (ssList @ nil)
% 5.27/1.54 | (singletonP @ sk1))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl205])).
% 5.27/1.54 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.27/1.54 thf(clause8, axiom, (ssList @ nil)).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl308, plain, ((((sk2) = (nil)) | (singletonP @ sk1))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl304, zip_derived_cl186, zip_derived_cl7])).
% 5.27/1.54 thf(clause101, axiom,
% 5.27/1.54 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 5.27/1.54 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 5.27/1.54 thf(zip_derived_cl100, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (singletonP @ X0)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause101])).
% 5.27/1.54 thf(clause96, axiom,
% 5.27/1.54 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 5.27/1.54 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 5.27/1.54 thf(zip_derived_cl95, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause96])).
% 5.27/1.54 thf(zip_derived_cl347, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ X0)
% 5.27/1.54 | ~ (singletonP @ X0)
% 5.27/1.54 | ~ (ssItem @ (skaf44 @ X0))
% 5.27/1.54 | ~ (ssList @ nil)
% 5.27/1.54 | ((tl @ X0) = (nil)))),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl95])).
% 5.27/1.54 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 5.27/1.54 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause47])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl348, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (singletonP @ X0) | ((tl @ X0) = (nil)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl347, zip_derived_cl46, zip_derived_cl7])).
% 5.27/1.54 thf(zip_derived_cl354, plain,
% 5.27/1.54 ((((sk2) = (nil)) | ~ (ssList @ sk1) | ((tl @ sk1) = (nil)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl308, zip_derived_cl348])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl355, plain, ((((sk2) = (nil)) | ((tl @ sk1) = (nil)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl354, zip_derived_cl185])).
% 5.27/1.54 thf(clause120, axiom,
% 5.27/1.54 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 5.27/1.54 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 5.27/1.54 thf(zip_derived_cl119, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause120])).
% 5.27/1.54 thf(clause86, axiom,
% 5.27/1.54 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 5.27/1.54 thf(zip_derived_cl85, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.54 thf(co1_11, conjecture,
% 5.27/1.54 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) != ( sk1 ))).
% 5.27/1.54 thf(zf_stmt_6, negated_conjecture,
% 5.27/1.54 (( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk1 )),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_11])).
% 5.27/1.54 thf(zip_derived_cl195, plain,
% 5.27/1.54 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.27/1.54 thf(clause149, axiom,
% 5.27/1.54 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 5.27/1.54 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 5.27/1.54 thf(zip_derived_cl148, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.54 (~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X2)
% 5.27/1.54 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause149])).
% 5.27/1.54 thf(zip_derived_cl1206, plain,
% 5.27/1.54 ((~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ nil))
% 5.27/1.54 | ~ (ssList @ sk6)
% 5.27/1.54 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl148])).
% 5.27/1.54 thf(co1_10, conjecture, (~( ssList @ sk7 ))).
% 5.27/1.54 thf(zf_stmt_7, negated_conjecture, (ssList @ sk7),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_10])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(co1_9, conjecture, (~( ssList @ sk6 ))).
% 5.27/1.54 thf(zf_stmt_8, negated_conjecture, (ssList @ sk6),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_9])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl1214, plain,
% 5.27/1.54 ((~ (ssList @ (cons @ sk5 @ nil))
% 5.27/1.54 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1206, zip_derived_cl194, zip_derived_cl193])).
% 5.27/1.54 thf(zip_derived_cl1432, plain,
% 5.27/1.54 ((~ (ssList @ nil)
% 5.27/1.54 | ~ (ssItem @ sk5)
% 5.27/1.54 | ((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7))))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1214])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(co1_8, conjecture, (~( ssItem @ sk5 ))).
% 5.27/1.54 thf(zf_stmt_9, negated_conjecture, (ssItem @ sk5),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_8])).
% 5.27/1.54 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.27/1.54 thf(zip_derived_cl1435, plain,
% 5.27/1.54 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1432, zip_derived_cl7, zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl1456, plain,
% 5.27/1.54 ((~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssItem @ sk5)
% 5.27/1.54 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7))))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl119, zip_derived_cl1435])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.27/1.54 thf(zip_derived_cl1458, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1456, zip_derived_cl194, zip_derived_cl192])).
% 5.27/1.54 thf(clause144, axiom,
% 5.27/1.54 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 5.27/1.54 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 5.27/1.54 thf(zip_derived_cl143, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.54 (((app @ X1 @ X2) != (X0))
% 5.27/1.54 | ~ (ssList @ X2)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (frontsegP @ X0 @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause144])).
% 5.27/1.54 thf(zip_derived_cl534, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 ( (frontsegP @ (app @ X0 @ X1) @ X0)
% 5.27/1.54 | ~ (ssList @ (app @ X0 @ X1))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ X1))),
% 5.27/1.54 inference('eq_res', [status(thm)], [zip_derived_cl143])).
% 5.27/1.54 thf(clause85, axiom,
% 5.27/1.54 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(zip_derived_cl4361, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (frontsegP @ (app @ X0 @ X1) @ X0))),
% 5.27/1.54 inference('clc', [status(thm)], [zip_derived_cl534, zip_derived_cl84])).
% 5.27/1.54 thf(zip_derived_cl4390, plain,
% 5.27/1.54 ((~ (ssList @ (cons @ sk5 @ sk7))
% 5.27/1.54 | ~ (ssList @ sk6)
% 5.27/1.54 | (frontsegP @ sk1 @ sk6))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl1458, zip_derived_cl4361])).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(clause157, axiom,
% 5.27/1.54 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 5.27/1.54 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 5.27/1.54 thf(zip_derived_cl156, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.54 (~ (ssItem @ X0)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X2)
% 5.27/1.54 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause157])).
% 5.27/1.54 thf(zip_derived_cl1435, plain,
% 5.27/1.54 (((sk1) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1432, zip_derived_cl7, zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl1455, plain,
% 5.27/1.54 ((~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssList @ nil)
% 5.27/1.54 | ~ (ssItem @ sk5)
% 5.27/1.54 | ((sk1) = (app @ sk6 @ (cons @ sk5 @ (app @ nil @ sk7)))))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl156, zip_derived_cl1435])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.27/1.54 thf(zip_derived_cl1457, plain,
% 5.27/1.54 (((sk1) = (app @ sk6 @ (cons @ sk5 @ (app @ nil @ sk7))))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1455, zip_derived_cl194, zip_derived_cl7,
% 5.27/1.54 zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl85, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.54 thf(zip_derived_cl85, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(clause72, axiom,
% 5.27/1.54 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 5.27/1.54 thf(zip_derived_cl71, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause72])).
% 5.27/1.54 thf(zip_derived_cl85, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(zip_derived_cl1458, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1456, zip_derived_cl194, zip_derived_cl192])).
% 5.27/1.54 thf(clause179, axiom,
% 5.27/1.54 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 5.27/1.54 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 5.27/1.54 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 5.27/1.54 thf(zip_derived_cl178, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.27/1.54 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 5.27/1.54 | ~ (ssList @ X4)
% 5.27/1.54 | ~ (ssList @ X3)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssItem @ X2)
% 5.27/1.54 | ~ (duplicatefreeP @ X0)
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause179])).
% 5.27/1.54 thf(zip_derived_cl2724, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssList @ sk6)
% 5.27/1.54 | ~ (ssItem @ sk5)
% 5.27/1.54 | ~ (duplicatefreeP @ X0)
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl1458, zip_derived_cl178])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.27/1.54 thf(zip_derived_cl2745, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (duplicatefreeP @ X0)
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl2724, zip_derived_cl194, zip_derived_cl193,
% 5.27/1.54 zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl2770, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 5.27/1.54 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('eq_res', [status(thm)], [zip_derived_cl2745])).
% 5.27/1.54 thf(zip_derived_cl2771, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ sk1)
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ X0))
% 5.27/1.54 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2770])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl2772, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ (cons @ sk5 @ X0))
% 5.27/1.54 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl2771, zip_derived_cl185])).
% 5.27/1.54 thf(zip_derived_cl2839, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ X0)
% 5.27/1.54 | ~ (ssItem @ sk5)
% 5.27/1.54 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2772])).
% 5.27/1.54 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.27/1.54 thf(zip_derived_cl2840, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ X0)
% 5.27/1.54 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl2839, zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl2841, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl2840])).
% 5.27/1.54 thf(zip_derived_cl2842, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 ( (ssItem @ X1)
% 5.27/1.54 | ~ (ssList @ (app @ sk1 @ (cons @ sk5 @ X0)))
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl2841])).
% 5.27/1.54 thf(zip_derived_cl2986, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ sk1)
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ X0))
% 5.27/1.54 | (ssItem @ X1)
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2842])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl2987, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ (cons @ sk5 @ X0)) | (ssItem @ X1) | ~ (ssList @ X0))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl2986, zip_derived_cl185])).
% 5.27/1.54 thf(zip_derived_cl2988, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssItem @ sk5) | (ssItem @ X1) | ~ (ssList @ X0))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2987])).
% 5.27/1.54 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.27/1.54 thf(zip_derived_cl2989, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | (ssItem @ X1) | ~ (ssList @ X0))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl2988, zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl2990, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: ( (ssItem @ X1) | ~ (ssList @ X0))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl2989])).
% 5.27/1.54 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 5.27/1.54 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause13])).
% 5.27/1.54 thf(zip_derived_cl2991, plain, (![X1 : $i]: (ssItem @ X1)),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl2990, zip_derived_cl12])).
% 5.27/1.54 thf(zip_derived_cl3064, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl2991])).
% 5.27/1.54 thf(zip_derived_cl1458, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1456, zip_derived_cl194, zip_derived_cl192])).
% 5.27/1.54 thf(clause150, axiom,
% 5.27/1.54 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 5.27/1.54 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 5.27/1.54 thf(zip_derived_cl149, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.54 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 5.27/1.54 | ~ (ssList @ X2)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ((X2) = (X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause150])).
% 5.27/1.54 thf(zip_derived_cl1507, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((app @ sk6 @ X0) != (sk1))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ sk6)
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ sk7))
% 5.27/1.54 | ((X0) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl1458, zip_derived_cl149])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl1525, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((app @ sk6 @ X0) != (sk1))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ sk7))
% 5.27/1.54 | ((X0) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl1507, zip_derived_cl193])).
% 5.27/1.54 thf(zip_derived_cl3590, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ sk7)
% 5.27/1.54 | ((app @ sk6 @ X0) != (sk1))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((X0) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl3064, zip_derived_cl1525])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl3591, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((app @ sk6 @ X0) != (sk1))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((X0) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl3590, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl3593, plain,
% 5.27/1.54 ((((sk1) != (sk1))
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ (app @ nil @ sk7)))
% 5.27/1.54 | ((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl1457, zip_derived_cl3591])).
% 5.27/1.54 thf(zip_derived_cl3597, plain,
% 5.27/1.54 ((((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7))
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ (app @ nil @ sk7))))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl3593])).
% 5.27/1.54 thf(zip_derived_cl3064, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl2991])).
% 5.27/1.54 thf(zip_derived_cl3618, plain,
% 5.27/1.54 ((((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7))
% 5.27/1.54 | ~ (ssList @ (app @ nil @ sk7)))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl3597, zip_derived_cl3064])).
% 5.27/1.54 thf(zip_derived_cl3627, plain,
% 5.27/1.54 ((~ (ssList @ nil)
% 5.27/1.54 | ~ (ssList @ sk7)
% 5.27/1.54 | ((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3618])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl3630, plain,
% 5.27/1.54 (((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3627, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl3064, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl2991])).
% 5.27/1.54 thf(zip_derived_cl3636, plain,
% 5.27/1.54 ((~ (ssList @ (app @ nil @ sk7)) | (ssList @ (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl3630, zip_derived_cl3064])).
% 5.27/1.54 thf(zip_derived_cl3714, plain,
% 5.27/1.54 ((~ (ssList @ nil) | ~ (ssList @ sk7) | (ssList @ (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3636])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl3716, plain, ( (ssList @ (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3714, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl4411, plain, ( (frontsegP @ sk1 @ sk6)),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4390, zip_derived_cl3716, zip_derived_cl193])).
% 5.27/1.54 thf(clause132, axiom,
% 5.27/1.54 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 5.27/1.54 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 5.27/1.54 thf(zip_derived_cl131, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (frontsegP @ X0 @ X1)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause132])).
% 5.27/1.54 thf(zip_derived_cl4426, plain,
% 5.27/1.54 ((~ (ssList @ sk6)
% 5.27/1.54 | ~ (ssList @ sk1)
% 5.27/1.54 | ((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4411, zip_derived_cl131])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl4430, plain,
% 5.27/1.54 (((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4426, zip_derived_cl193, zip_derived_cl185])).
% 5.27/1.54 thf(clause133, axiom,
% 5.27/1.54 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 5.27/1.54 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 5.27/1.54 thf(zip_derived_cl132, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ((nil) = (X1))
% 5.27/1.54 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause133])).
% 5.27/1.54 thf(zip_derived_cl4499, plain,
% 5.27/1.54 ((~ (ssList @ (skaf45 @ sk1 @ sk6))
% 5.27/1.54 | ~ (ssList @ sk6)
% 5.27/1.54 | ((nil) = (sk6))
% 5.27/1.54 | ((tl @ sk1) = (app @ (tl @ sk6) @ (skaf45 @ sk1 @ sk6))))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl4430, zip_derived_cl132])).
% 5.27/1.54 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 5.27/1.54 thf(zip_derived_cl50, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause51])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl4521, plain,
% 5.27/1.54 ((((nil) = (sk6))
% 5.27/1.54 | ((tl @ sk1) = (app @ (tl @ sk6) @ (skaf45 @ sk1 @ sk6))))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4499, zip_derived_cl50, zip_derived_cl193])).
% 5.27/1.54 thf(zip_derived_cl4430, plain,
% 5.27/1.54 (((app @ sk6 @ (skaf45 @ sk1 @ sk6)) = (sk1))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4426, zip_derived_cl193, zip_derived_cl185])).
% 5.27/1.54 thf(zip_derived_cl3591, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((app @ sk6 @ X0) != (sk1))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((X0) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl3590, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl4518, plain,
% 5.27/1.54 ((((sk1) != (sk1))
% 5.27/1.54 | ~ (ssList @ (skaf45 @ sk1 @ sk6))
% 5.27/1.54 | ((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4430, zip_derived_cl3591])).
% 5.27/1.54 thf(zip_derived_cl50, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause51])).
% 5.27/1.54 thf(zip_derived_cl4541, plain,
% 5.27/1.54 ((((sk1) != (sk1)) | ((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl4518, zip_derived_cl50])).
% 5.27/1.54 thf(zip_derived_cl4542, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl4541])).
% 5.27/1.54 thf(zip_derived_cl4676, plain,
% 5.27/1.54 ((((nil) = (sk6))
% 5.27/1.54 | ((tl @ sk1) = (app @ (tl @ sk6) @ (cons @ sk5 @ sk7))))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4521, zip_derived_cl4542])).
% 5.27/1.54 thf(clause119, axiom,
% 5.27/1.54 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 5.27/1.54 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 5.27/1.54 thf(zip_derived_cl118, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (((app @ X0 @ X1) != (nil))
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((nil) = (X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause119])).
% 5.27/1.54 thf(zip_derived_cl4684, plain,
% 5.27/1.54 ((((nil) = (sk6))
% 5.27/1.54 | ((tl @ sk1) != (nil))
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ sk7))
% 5.27/1.54 | ~ (ssList @ (tl @ sk6))
% 5.27/1.54 | ((nil) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4676, zip_derived_cl118])).
% 5.27/1.54 thf(zip_derived_cl3716, plain, ( (ssList @ (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3714, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl4711, plain,
% 5.27/1.54 ((((nil) = (sk6))
% 5.27/1.54 | ((tl @ sk1) != (nil))
% 5.27/1.54 | ~ (ssList @ (tl @ sk6))
% 5.27/1.54 | ((nil) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4684, zip_derived_cl3716])).
% 5.27/1.54 thf(zip_derived_cl3630, plain,
% 5.27/1.54 (((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3627, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(clause98, axiom,
% 5.27/1.54 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 5.27/1.54 ( ~( ssList @ V ) ))).
% 5.27/1.54 thf(zip_derived_cl97, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause98])).
% 5.27/1.54 thf(zip_derived_cl2991, plain, (![X1 : $i]: (ssItem @ X1)),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl2990, zip_derived_cl12])).
% 5.27/1.54 thf(zip_derived_cl3067, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (((cons @ X0 @ X1) != (nil)) | ~ (ssList @ X1))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl2991])).
% 5.27/1.54 thf(zip_derived_cl3639, plain,
% 5.27/1.54 ((((cons @ sk5 @ sk7) != (nil)) | ~ (ssList @ (app @ nil @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl3630, zip_derived_cl3067])).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(zip_derived_cl3630, plain,
% 5.27/1.54 (((cons @ sk5 @ (app @ nil @ sk7)) = (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3627, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl95, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause96])).
% 5.27/1.54 thf(zip_derived_cl2991, plain, (![X1 : $i]: (ssItem @ X1)),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl2990, zip_derived_cl12])).
% 5.27/1.54 thf(zip_derived_cl3065, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl95, zip_derived_cl2991])).
% 5.27/1.54 thf(zip_derived_cl3637, plain,
% 5.27/1.54 ((~ (ssList @ (app @ nil @ sk7))
% 5.27/1.54 | ((tl @ (cons @ sk5 @ sk7)) = (app @ nil @ sk7)))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl3630, zip_derived_cl3065])).
% 5.27/1.54 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 5.27/1.54 thf(zip_derived_cl73, plain,
% 5.27/1.54 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause74])).
% 5.27/1.54 thf(zip_derived_cl3637, plain,
% 5.27/1.54 ((~ (ssList @ (app @ nil @ sk7))
% 5.27/1.54 | ((tl @ (cons @ sk5 @ sk7)) = (app @ nil @ sk7)))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl3630, zip_derived_cl3065])).
% 5.27/1.54 thf(zip_derived_cl3805, plain,
% 5.27/1.54 ((~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssList @ sk7)
% 5.27/1.54 | ((tl @ (cons @ sk5 @ sk7)) = (sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl3637])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl3807, plain, (((tl @ (cons @ sk5 @ sk7)) = (sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3805, zip_derived_cl194, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl3810, plain,
% 5.27/1.54 ((~ (ssList @ (app @ nil @ sk7)) | ((sk7) = (app @ nil @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3637, zip_derived_cl3807])).
% 5.27/1.54 thf(zip_derived_cl3840, plain,
% 5.27/1.54 ((~ (ssList @ nil) | ~ (ssList @ sk7) | ((sk7) = (app @ nil @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3810])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl3842, plain, (((sk7) = (app @ nil @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3840, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl3844, plain, (((cons @ sk5 @ sk7) != (nil))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3639, zip_derived_cl3842, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl4712, plain,
% 5.27/1.54 ((((nil) = (sk6)) | ((tl @ sk1) != (nil)) | ~ (ssList @ (tl @ sk6)))),
% 5.27/1.54 inference('simplify_reflect-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4711, zip_derived_cl3844])).
% 5.27/1.54 thf(zip_derived_cl4732, plain,
% 5.27/1.54 ((((sk2) = (nil))
% 5.27/1.54 | ((nil) = (sk6))
% 5.27/1.54 | ((nil) != (nil))
% 5.27/1.54 | ~ (ssList @ (tl @ sk6)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl355, zip_derived_cl4712])).
% 5.27/1.54 thf(zip_derived_cl4733, plain,
% 5.27/1.54 ((~ (ssList @ (tl @ sk6)) | ((nil) = (sk6)) | ((sk2) = (nil)))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl4732])).
% 5.27/1.54 thf(zip_derived_cl4734, plain,
% 5.27/1.54 ((((nil) = (sk6)) | ~ (ssList @ sk6) | ((nil) = (sk6)) | ((sk2) = (nil)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl4733])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl4735, plain,
% 5.27/1.54 ((((nil) = (sk6)) | ((nil) = (sk6)) | ((sk2) = (nil)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl4734, zip_derived_cl193])).
% 5.27/1.54 thf(zip_derived_cl4736, plain, ((((sk2) = (nil)) | ((nil) = (sk6)))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl4735])).
% 5.27/1.54 thf(zip_derived_cl4736, plain, ((((sk2) = (nil)) | ((nil) = (sk6)))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl4735])).
% 5.27/1.54 thf(zip_derived_cl4542, plain, (((skaf45 @ sk1 @ sk6) = (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl4541])).
% 5.27/1.54 thf(zip_derived_cl4768, plain,
% 5.27/1.54 ((((sk2) = (nil)) | ((skaf45 @ sk1 @ nil) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl4736, zip_derived_cl4542])).
% 5.27/1.54 thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 5.27/1.54 thf(zip_derived_cl59, plain,
% 5.27/1.54 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause60])).
% 5.27/1.54 thf(zip_derived_cl85, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(zip_derived_cl195, plain,
% 5.27/1.54 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.27/1.54 thf(clause143, axiom,
% 5.27/1.54 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ U ) ) |
% 5.27/1.54 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( rearsegP @ W @ V ))).
% 5.27/1.54 thf(zip_derived_cl142, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.54 (((app @ X1 @ X2) != (X0))
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X2)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (rearsegP @ X0 @ X2))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause143])).
% 5.27/1.54 thf(zip_derived_cl504, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((sk1) != (X0))
% 5.27/1.54 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 5.27/1.54 | ~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (rearsegP @ X0 @ sk7))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl142])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl510, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((sk1) != (X0))
% 5.27/1.54 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (rearsegP @ X0 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl504, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl1050, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ sk6)
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ nil))
% 5.27/1.54 | ((sk1) != (X0))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (rearsegP @ X0 @ sk7))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl510])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl1051, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ (cons @ sk5 @ nil))
% 5.27/1.54 | ((sk1) != (X0))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (rearsegP @ X0 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl1050, zip_derived_cl193])).
% 5.27/1.54 thf(zip_derived_cl1085, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ nil)
% 5.27/1.54 | ~ (ssItem @ sk5)
% 5.27/1.54 | ((sk1) != (X0))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (rearsegP @ X0 @ sk7))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1051])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.27/1.54 thf(zip_derived_cl1086, plain,
% 5.27/1.54 (![X0 : $i]: (((sk1) != (X0)) | ~ (ssList @ X0) | (rearsegP @ X0 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1085, zip_derived_cl7, zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl1087, plain,
% 5.27/1.54 (( (rearsegP @ sk1 @ sk7) | ~ (ssList @ sk1))),
% 5.27/1.54 inference('eq_res', [status(thm)], [zip_derived_cl1086])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl1088, plain, ( (rearsegP @ sk1 @ sk7)),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl1087, zip_derived_cl185])).
% 5.27/1.54 thf(clause131, axiom,
% 5.27/1.54 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 5.27/1.54 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 5.27/1.54 thf(zip_derived_cl130, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (rearsegP @ X0 @ X1)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause131])).
% 5.27/1.54 thf(zip_derived_cl1090, plain,
% 5.27/1.54 ((~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssList @ sk1)
% 5.27/1.54 | ((app @ (skaf46 @ sk1 @ sk7) @ sk7) = (sk1)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl1088, zip_derived_cl130])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl1094, plain,
% 5.27/1.54 (((app @ (skaf46 @ sk1 @ sk7) @ sk7) = (sk1))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1090, zip_derived_cl194, zip_derived_cl185])).
% 5.27/1.54 thf(clause137, axiom,
% 5.27/1.54 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) |
% 5.27/1.54 ( ~( ssList @ U ) ) | ( frontsegP @ ( app @ U @ W ) @ V ))).
% 5.27/1.54 thf(zip_derived_cl136, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.54 (~ (frontsegP @ X0 @ X1)
% 5.27/1.54 | ~ (ssList @ X2)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (frontsegP @ (app @ X0 @ X2) @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause137])).
% 5.27/1.54 thf(zip_derived_cl1107, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (frontsegP @ (skaf46 @ sk1 @ sk7) @ X0)
% 5.27/1.54 | ~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ (skaf46 @ sk1 @ sk7))
% 5.27/1.54 | (frontsegP @ sk1 @ X0))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl1094, zip_derived_cl136])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 5.27/1.54 thf(zip_derived_cl49, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause50])).
% 5.27/1.54 thf(zip_derived_cl1124, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (frontsegP @ (skaf46 @ sk1 @ sk7) @ X0)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (frontsegP @ sk1 @ X0))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1107, zip_derived_cl194, zip_derived_cl49])).
% 5.27/1.54 thf(zip_derived_cl1094, plain,
% 5.27/1.54 (((app @ (skaf46 @ sk1 @ sk7) @ sk7) = (sk1))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1090, zip_derived_cl194, zip_derived_cl185])).
% 5.27/1.54 thf(zip_derived_cl85, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause86])).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(zip_derived_cl195, plain,
% 5.27/1.54 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk1))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.27/1.54 thf(clause151, axiom,
% 5.27/1.54 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 5.27/1.54 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 5.27/1.54 thf(zip_derived_cl150, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.54 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 5.27/1.54 | ~ (ssList @ X2)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((X2) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause151])).
% 5.27/1.54 thf(zip_derived_cl566, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((sk1) != (app @ X0 @ sk7))
% 5.27/1.54 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 5.27/1.54 | ~ (ssList @ sk7)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (X0)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl150])).
% 5.27/1.54 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.27/1.54 thf(zip_derived_cl578, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((sk1) != (app @ X0 @ sk7))
% 5.27/1.54 | ~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (X0)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl566, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl752, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ sk6)
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ nil))
% 5.27/1.54 | ((sk1) != (app @ X0 @ sk7))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (X0)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl578])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl753, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ (cons @ sk5 @ nil))
% 5.27/1.54 | ((sk1) != (app @ X0 @ sk7))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (X0)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl752, zip_derived_cl193])).
% 5.27/1.54 thf(zip_derived_cl754, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ nil)
% 5.27/1.54 | ~ (ssItem @ sk5)
% 5.27/1.54 | ((sk1) != (app @ X0 @ sk7))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (X0)))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl753])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.27/1.54 thf(zip_derived_cl755, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((sk1) != (app @ X0 @ sk7))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (X0)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl754, zip_derived_cl7, zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl1113, plain,
% 5.27/1.54 ((((sk1) != (sk1))
% 5.27/1.54 | ~ (ssList @ (skaf46 @ sk1 @ sk7))
% 5.27/1.54 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (skaf46 @ sk1 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl1094, zip_derived_cl755])).
% 5.27/1.54 thf(zip_derived_cl49, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause50])).
% 5.27/1.54 thf(zip_derived_cl1130, plain,
% 5.27/1.54 ((((sk1) != (sk1))
% 5.27/1.54 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (skaf46 @ sk1 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl1113, zip_derived_cl49])).
% 5.27/1.54 thf(zip_derived_cl1131, plain,
% 5.27/1.54 (((app @ sk6 @ (cons @ sk5 @ nil)) = (skaf46 @ sk1 @ sk7))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl1130])).
% 5.27/1.54 thf(zip_derived_cl1964, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (frontsegP @ (app @ sk6 @ (cons @ sk5 @ nil)) @ X0)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (frontsegP @ sk1 @ X0))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1124, zip_derived_cl1131])).
% 5.27/1.54 thf(zip_derived_cl1966, plain,
% 5.27/1.54 ((~ (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))
% 5.27/1.54 | ~ (ssList @ nil)
% 5.27/1.54 | (frontsegP @ sk1 @ nil))),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl1964])).
% 5.27/1.54 thf(zip_derived_cl1131, plain,
% 5.27/1.54 (((app @ sk6 @ (cons @ sk5 @ nil)) = (skaf46 @ sk1 @ sk7))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl1130])).
% 5.27/1.54 thf(zip_derived_cl49, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause50])).
% 5.27/1.54 thf(zip_derived_cl1164, plain,
% 5.27/1.54 ( (ssList @ (app @ sk6 @ (cons @ sk5 @ nil)))),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl1131, zip_derived_cl49])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl1968, plain, ( (frontsegP @ sk1 @ nil)),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1966, zip_derived_cl1164, zip_derived_cl7])).
% 5.27/1.54 thf(zip_derived_cl131, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (frontsegP @ X0 @ X1)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause132])).
% 5.27/1.54 thf(zip_derived_cl1970, plain,
% 5.27/1.54 ((~ (ssList @ nil)
% 5.27/1.54 | ~ (ssList @ sk1)
% 5.27/1.54 | ((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl1968, zip_derived_cl131])).
% 5.27/1.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.27/1.54 inference('cnf', [status(esa)], [clause8])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl1974, plain,
% 5.27/1.54 (((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1970, zip_derived_cl7, zip_derived_cl185])).
% 5.27/1.54 thf(zip_derived_cl73, plain,
% 5.27/1.54 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause74])).
% 5.27/1.54 thf(zip_derived_cl1995, plain,
% 5.27/1.54 ((~ (ssList @ (skaf45 @ sk1 @ nil)) | ((sk1) = (skaf45 @ sk1 @ nil)))),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl1974, zip_derived_cl73])).
% 5.27/1.54 thf(zip_derived_cl50, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause51])).
% 5.27/1.54 thf(zip_derived_cl2017, plain, (((sk1) = (skaf45 @ sk1 @ nil))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl1995, zip_derived_cl50])).
% 5.27/1.54 thf(zip_derived_cl4776, plain,
% 5.27/1.54 ((((sk2) = (nil)) | ((sk1) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4768, zip_derived_cl2017])).
% 5.27/1.54 thf(zip_derived_cl355, plain, ((((sk2) = (nil)) | ((tl @ sk1) = (nil)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl354, zip_derived_cl185])).
% 5.27/1.54 thf(clause104, axiom,
% 5.27/1.54 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 5.27/1.54 ( ( nil ) = ( U ) ))).
% 5.27/1.54 thf(zip_derived_cl103, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ X0)
% 5.27/1.54 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 5.27/1.54 | ((nil) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause104])).
% 5.27/1.54 thf(zip_derived_cl417, plain,
% 5.27/1.54 ((((sk2) = (nil))
% 5.27/1.54 | ~ (ssList @ sk1)
% 5.27/1.54 | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 5.27/1.54 | ((nil) = (sk1)))),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl355, zip_derived_cl103])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl419, plain,
% 5.27/1.54 ((((sk2) = (nil)) | ((cons @ (hd @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl417, zip_derived_cl185])).
% 5.27/1.54 thf(zip_derived_cl3807, plain, (((tl @ (cons @ sk5 @ sk7)) = (sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3805, zip_derived_cl194, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl348, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (singletonP @ X0) | ((tl @ X0) = (nil)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl347, zip_derived_cl46, zip_derived_cl7])).
% 5.27/1.54 thf(clause116, axiom,
% 5.27/1.54 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 5.27/1.54 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 5.27/1.54 thf(zip_derived_cl115, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (((cons @ X1 @ nil) != (X0))
% 5.27/1.54 | ~ (ssItem @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (singletonP @ X0))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause116])).
% 5.27/1.54 thf(zip_derived_cl349, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (((tl @ X0) = (nil))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((cons @ X1 @ nil) != (X0))
% 5.27/1.54 | ~ (ssItem @ X1)
% 5.27/1.54 | ~ (ssList @ X0))),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl348, zip_derived_cl115])).
% 5.27/1.54 thf(zip_derived_cl356, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssItem @ X1)
% 5.27/1.54 | ((cons @ X1 @ nil) != (X0))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((tl @ X0) = (nil)))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 5.27/1.54 thf(zip_derived_cl2991, plain, (![X1 : $i]: (ssItem @ X1)),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl2990, zip_derived_cl12])).
% 5.27/1.54 thf(zip_derived_cl3529, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (((cons @ X1 @ nil) != (X0)) | ~ (ssList @ X0) | ((tl @ X0) = (nil)))),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl356, zip_derived_cl2991])).
% 5.27/1.54 thf(zip_derived_cl3815, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((cons @ X0 @ nil) != (cons @ sk5 @ sk7))
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ sk7))
% 5.27/1.54 | ((sk7) = (nil)))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl3807, zip_derived_cl3529])).
% 5.27/1.54 thf(zip_derived_cl3716, plain, ( (ssList @ (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3714, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl3821, plain,
% 5.27/1.54 (![X0 : $i]:
% 5.27/1.54 (((cons @ X0 @ nil) != (cons @ sk5 @ sk7)) | ((sk7) = (nil)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3815, zip_derived_cl3716])).
% 5.27/1.54 thf(zip_derived_cl3824, plain,
% 5.27/1.54 ((((nil) = (sk1))
% 5.27/1.54 | ((sk2) = (nil))
% 5.27/1.54 | ((sk1) != (cons @ sk5 @ sk7))
% 5.27/1.54 | ((sk7) = (nil)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl419, zip_derived_cl3821])).
% 5.27/1.54 thf(zip_derived_cl4828, plain,
% 5.27/1.54 ((((sk2) = (nil))
% 5.27/1.54 | ((nil) = (sk1))
% 5.27/1.54 | ((sk2) = (nil))
% 5.27/1.54 | ((sk1) != (sk1))
% 5.27/1.54 | ((sk7) = (nil)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4776, zip_derived_cl3824])).
% 5.27/1.54 thf(zip_derived_cl4862, plain,
% 5.27/1.54 ((((sk7) = (nil)) | ((nil) = (sk1)) | ((sk2) = (nil)))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl4828])).
% 5.27/1.54 thf(zip_derived_cl1458, plain, (((sk1) = (app @ sk6 @ (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl1456, zip_derived_cl194, zip_derived_cl192])).
% 5.27/1.54 thf(zip_derived_cl142, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.27/1.54 (((app @ X1 @ X2) != (X0))
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X2)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (rearsegP @ X0 @ X2))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause143])).
% 5.27/1.54 thf(zip_derived_cl505, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 ( (rearsegP @ (app @ X1 @ X0) @ X0)
% 5.27/1.54 | ~ (ssList @ (app @ X1 @ X0))
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ~ (ssList @ X1))),
% 5.27/1.54 inference('eq_res', [status(thm)], [zip_derived_cl142])).
% 5.27/1.54 thf(zip_derived_cl84, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause85])).
% 5.27/1.54 thf(zip_derived_cl3944, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | (rearsegP @ (app @ X1 @ X0) @ X0))),
% 5.27/1.54 inference('clc', [status(thm)], [zip_derived_cl505, zip_derived_cl84])).
% 5.27/1.54 thf(zip_derived_cl3973, plain,
% 5.27/1.54 ((~ (ssList @ sk6)
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ sk7))
% 5.27/1.54 | (rearsegP @ sk1 @ (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl1458, zip_derived_cl3944])).
% 5.27/1.54 thf(zip_derived_cl193, plain, ( (ssList @ sk6)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.27/1.54 thf(zip_derived_cl3716, plain, ( (ssList @ (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3714, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl3994, plain, ( (rearsegP @ sk1 @ (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3973, zip_derived_cl193, zip_derived_cl3716])).
% 5.27/1.54 thf(zip_derived_cl130, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (~ (rearsegP @ X0 @ X1)
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause131])).
% 5.27/1.54 thf(zip_derived_cl4000, plain,
% 5.27/1.54 ((~ (ssList @ (cons @ sk5 @ sk7))
% 5.27/1.54 | ~ (ssList @ sk1)
% 5.27/1.54 | ((app @ (skaf46 @ sk1 @ (cons @ sk5 @ sk7)) @ (cons @ sk5 @ sk7))
% 5.27/1.54 = (sk1)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl3994, zip_derived_cl130])).
% 5.27/1.54 thf(zip_derived_cl3716, plain, ( (ssList @ (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3714, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl4004, plain,
% 5.27/1.54 (((app @ (skaf46 @ sk1 @ (cons @ sk5 @ sk7)) @ (cons @ sk5 @ sk7))
% 5.27/1.54 = (sk1))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4000, zip_derived_cl3716, zip_derived_cl185])).
% 5.27/1.54 thf(zip_derived_cl118, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]:
% 5.27/1.54 (((app @ X0 @ X1) != (nil))
% 5.27/1.54 | ~ (ssList @ X1)
% 5.27/1.54 | ~ (ssList @ X0)
% 5.27/1.54 | ((nil) = (X1)))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause119])).
% 5.27/1.54 thf(zip_derived_cl4012, plain,
% 5.27/1.54 ((((sk1) != (nil))
% 5.27/1.54 | ~ (ssList @ (cons @ sk5 @ sk7))
% 5.27/1.54 | ~ (ssList @ (skaf46 @ sk1 @ (cons @ sk5 @ sk7)))
% 5.27/1.54 | ((nil) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('s_sup-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4004, zip_derived_cl118])).
% 5.27/1.54 thf(zip_derived_cl3716, plain, ( (ssList @ (cons @ sk5 @ sk7))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3714, zip_derived_cl7, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl49, plain,
% 5.27/1.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause50])).
% 5.27/1.54 thf(zip_derived_cl4035, plain,
% 5.27/1.54 ((((sk1) != (nil)) | ((nil) = (cons @ sk5 @ sk7)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4012, zip_derived_cl3716, zip_derived_cl49])).
% 5.27/1.54 thf(zip_derived_cl3844, plain, (((cons @ sk5 @ sk7) != (nil))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl3639, zip_derived_cl3842, zip_derived_cl194])).
% 5.27/1.54 thf(zip_derived_cl4036, plain, (((sk1) != (nil))),
% 5.27/1.54 inference('simplify_reflect-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4035, zip_derived_cl3844])).
% 5.27/1.54 thf(zip_derived_cl4863, plain, ((((sk7) = (nil)) | ((sk2) = (nil)))),
% 5.27/1.54 inference('simplify_reflect-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4862, zip_derived_cl4036])).
% 5.27/1.54 thf(co1_13, conjecture,
% 5.27/1.54 (~( ( memberP @ sk7 @ sk8 ) | ( memberP @ sk6 @ sk8 ) ))).
% 5.27/1.54 thf(zf_stmt_10, negated_conjecture,
% 5.27/1.54 (( memberP @ sk7 @ sk8 ) | ( memberP @ sk6 @ sk8 )),
% 5.27/1.54 inference('cnf.neg', [status(esa)], [co1_13])).
% 5.27/1.54 thf(zip_derived_cl197, plain,
% 5.27/1.54 (( (memberP @ sk7 @ sk8) | (memberP @ sk6 @ sk8))),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_10])).
% 5.27/1.54 thf(zip_derived_cl4875, plain,
% 5.27/1.54 ((((sk2) = (nil)) | (memberP @ nil @ sk8) | (memberP @ sk6 @ sk8))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl4863, zip_derived_cl197])).
% 5.27/1.54 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 5.27/1.54 thf(zip_derived_cl70, plain,
% 5.27/1.54 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 5.27/1.54 inference('cnf', [status(esa)], [clause71])).
% 5.27/1.54 thf(zip_derived_cl2991, plain, (![X1 : $i]: (ssItem @ X1)),
% 5.27/1.54 inference('s_sup+', [status(thm)], [zip_derived_cl2990, zip_derived_cl12])).
% 5.27/1.54 thf(zip_derived_cl3063, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl2991])).
% 5.27/1.54 thf(zip_derived_cl4943, plain, ((((sk2) = (nil)) | (memberP @ sk6 @ sk8))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl4875, zip_derived_cl3063])).
% 5.27/1.54 thf(zip_derived_cl5322, plain,
% 5.27/1.54 ((((sk2) = (nil)) | ((sk2) = (nil)) | (memberP @ nil @ sk8))),
% 5.27/1.54 inference('s_sup+', [status(thm)],
% 5.27/1.54 [zip_derived_cl4736, zip_derived_cl4943])).
% 5.27/1.54 thf(zip_derived_cl5323, plain, (( (memberP @ nil @ sk8) | ((sk2) = (nil)))),
% 5.27/1.54 inference('simplify', [status(thm)], [zip_derived_cl5322])).
% 5.27/1.54 thf(zip_derived_cl3063, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl2991])).
% 5.27/1.54 thf(zip_derived_cl5331, plain, (((sk2) = (nil))),
% 5.27/1.54 inference('clc', [status(thm)], [zip_derived_cl5323, zip_derived_cl3063])).
% 5.27/1.54 thf(zip_derived_cl5331, plain, (((sk2) = (nil))),
% 5.27/1.54 inference('clc', [status(thm)], [zip_derived_cl5323, zip_derived_cl3063])).
% 5.27/1.54 thf(zip_derived_cl5341, plain,
% 5.27/1.54 ((~ (segmentP @ sk1 @ nil) | ((sk1) = (nil)))),
% 5.27/1.54 inference('demod', [status(thm)],
% 5.27/1.54 [zip_derived_cl400, zip_derived_cl5331, zip_derived_cl5331])).
% 5.27/1.54 thf(zip_derived_cl4036, plain, (((sk1) != (nil))),
% 5.27/1.54 inference('simplify_reflect-', [status(thm)],
% 5.27/1.54 [zip_derived_cl4035, zip_derived_cl3844])).
% 5.27/1.54 thf(zip_derived_cl5342, plain, (~ (segmentP @ sk1 @ nil)),
% 5.27/1.54 inference('simplify_reflect-', [status(thm)],
% 5.27/1.54 [zip_derived_cl5341, zip_derived_cl4036])).
% 5.27/1.54 thf(zip_derived_cl5390, plain, (~ (ssList @ sk1)),
% 5.27/1.54 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl5342])).
% 5.27/1.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.27/1.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.27/1.54 thf(zip_derived_cl5391, plain, ($false),
% 5.27/1.54 inference('demod', [status(thm)], [zip_derived_cl5390, zip_derived_cl185])).
% 5.27/1.54
% 5.27/1.54 % SZS output end Refutation
% 5.27/1.54
% 5.27/1.54
% 5.27/1.54 % Terminating...
% 6.83/1.63 % Runner terminated.
% 6.83/1.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------