TSTP Solution File: SWC061-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC061-1 : 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.Us66zA8SqB 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 21:28:51 EDT 2023
% Result : Unsatisfiable 12.91s 2.50s
% Output : Refutation 12.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC061-1 : 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.Us66zA8SqB true
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 17:31:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.91/2.50 % Solved by fo/fo6_bce.sh.
% 12.91/2.50 % BCE start: 200
% 12.91/2.50 % BCE eliminated: 0
% 12.91/2.50 % PE start: 200
% 12.91/2.50 logic: eq
% 12.91/2.50 % PE eliminated: -8
% 12.91/2.50 % done 1334 iterations in 1.708s
% 12.91/2.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.91/2.50 % SZS output start Refutation
% 12.91/2.50 thf(nil_type, type, nil: $i).
% 12.91/2.50 thf(cons_type, type, cons: $i > $i > $i).
% 12.91/2.50 thf(sk2_type, type, sk2: $i).
% 12.91/2.50 thf(sk6_type, type, sk6: $i).
% 12.91/2.50 thf(sk4_type, type, sk4: $i).
% 12.91/2.50 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 12.91/2.50 thf(tl_type, type, tl: $i > $i).
% 12.91/2.50 thf(hd_type, type, hd: $i > $i).
% 12.91/2.50 thf(ssItem_type, type, ssItem: $i > $o).
% 12.91/2.50 thf(sk5_type, type, sk5: $i).
% 12.91/2.50 thf(sk3_type, type, sk3: $i).
% 12.91/2.50 thf(neq_type, type, neq: $i > $i > $o).
% 12.91/2.50 thf(app_type, type, app: $i > $i > $i).
% 12.91/2.50 thf(ssList_type, type, ssList: $i > $o).
% 12.91/2.50 thf(sk1_type, type, sk1: $i).
% 12.91/2.50 thf(singletonP_type, type, singletonP: $i > $o).
% 12.91/2.50 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 12.91/2.50 thf(clause100, axiom,
% 12.91/2.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 12.91/2.50 ( ( V ) = ( U ) ))).
% 12.91/2.50 thf(zip_derived_cl99, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause100])).
% 12.91/2.50 thf(co1_10, conjecture,
% 12.91/2.50 (~( ( ~( neq @ sk4 @ nil ) ) |
% 12.91/2.50 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk4 ) ) ))).
% 12.91/2.50 thf(zf_stmt_0, negated_conjecture,
% 12.91/2.50 (( ~( neq @ sk4 @ nil ) ) |
% 12.91/2.50 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk4 ) )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_10])).
% 12.91/2.50 thf(zip_derived_cl194, plain,
% 12.91/2.50 ((~ (neq @ sk4 @ nil) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk4)))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 12.91/2.50 thf(zip_derived_cl1415, plain,
% 12.91/2.50 ((((sk4) = (nil))
% 12.91/2.50 | ~ (ssList @ sk4)
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk4)))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl99, zip_derived_cl194])).
% 12.91/2.50 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 12.91/2.50 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_5])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 12.91/2.50 thf(zf_stmt_2, negated_conjecture, (ssList @ sk2),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_2])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(clause8, axiom, (ssList @ nil)).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(zip_derived_cl1501, plain,
% 12.91/2.50 ((((sk2) = (nil)) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk2)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1415, zip_derived_cl189, zip_derived_cl189,
% 12.91/2.50 zip_derived_cl186, zip_derived_cl7, zip_derived_cl189])).
% 12.91/2.50 thf(co1_14, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 12.91/2.50 thf(zf_stmt_3, negated_conjecture,
% 12.91/2.50 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_14])).
% 12.91/2.50 thf(zip_derived_cl198, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_3])).
% 12.91/2.50 thf(clause115, axiom,
% 12.91/2.50 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 12.91/2.50 ( ~( ssList @ U ) ))).
% 12.91/2.50 thf(zip_derived_cl114, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (((X1) != (X0))
% 12.91/2.50 | ~ (neq @ X1 @ X0)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X1))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause115])).
% 12.91/2.50 thf(zip_derived_cl1447, plain,
% 12.91/2.50 ((((nil) != (sk1))
% 12.91/2.50 | ~ (ssList @ sk2)
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ((sk2) != (nil)))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl198, zip_derived_cl114])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1494, plain, ((((nil) != (sk1)) | ((sk2) != (nil)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1447, zip_derived_cl186, zip_derived_cl7])).
% 12.91/2.50 thf(co1_7, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 12.91/2.50 thf(zf_stmt_4, negated_conjecture,
% 12.91/2.50 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_7])).
% 12.91/2.50 thf(zip_derived_cl191, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_4])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 12.91/2.50 thf(zf_stmt_5, negated_conjecture, (( sk1 ) = ( sk3 )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_6])).
% 12.91/2.50 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 12.91/2.50 thf(zip_derived_cl1467, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 12.91/2.50 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.91/2.50 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.91/2.50 thf(zip_derived_cl1502, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk2))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1501, zip_derived_cl1495])).
% 12.91/2.50 thf(clause96, axiom,
% 12.91/2.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.91/2.50 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 12.91/2.50 thf(zip_derived_cl95, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause96])).
% 12.91/2.50 thf(clause86, axiom,
% 12.91/2.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 12.91/2.50 thf(zip_derived_cl85, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause86])).
% 12.91/2.50 thf(zip_derived_cl85, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause86])).
% 12.91/2.50 thf(zip_derived_cl1502, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk2))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1501, zip_derived_cl1495])).
% 12.91/2.50 thf(clause123, axiom,
% 12.91/2.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 12.91/2.50 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 12.91/2.50 thf(zip_derived_cl122, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ((nil) = (X1))
% 12.91/2.50 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause123])).
% 12.91/2.50 thf(zip_derived_cl1831, plain,
% 12.91/2.50 ((~ (ssList @ sk6)
% 12.91/2.50 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | ((hd @ sk2) = (hd @ (cons @ sk5 @ nil))))),
% 12.91/2.50 inference('s_sup+', [status(thm)],
% 12.91/2.50 [zip_derived_cl1502, zip_derived_cl122])).
% 12.91/2.50 thf(zip_derived_cl99, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause100])).
% 12.91/2.50 thf(co1_9, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 ) ))).
% 12.91/2.50 thf(zf_stmt_6, negated_conjecture,
% 12.91/2.50 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_9])).
% 12.91/2.50 thf(zip_derived_cl193, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk6))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_6])).
% 12.91/2.50 thf(zip_derived_cl1414, plain,
% 12.91/2.50 ((((sk4) = (nil)) | ~ (ssList @ sk4) | ~ (ssList @ nil) | (ssList @ sk6))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl99, zip_derived_cl193])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1515, plain, ((((sk2) = (nil)) | (ssList @ sk6))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1414, zip_derived_cl189, zip_derived_cl189,
% 12.91/2.50 zip_derived_cl186, zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.91/2.50 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1502, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk2))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1501, zip_derived_cl1495])).
% 12.91/2.50 thf(clause120, axiom,
% 12.91/2.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.91/2.50 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 12.91/2.50 thf(zip_derived_cl119, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssItem @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause120])).
% 12.91/2.50 thf(zip_derived_cl1777, plain,
% 12.91/2.50 ((~ (ssItem @ sk5) | ~ (ssList @ sk6) | ((sk2) = (cons @ sk5 @ sk6)))),
% 12.91/2.50 inference('s_sup+', [status(thm)],
% 12.91/2.50 [zip_derived_cl1502, zip_derived_cl119])).
% 12.91/2.50 thf(zip_derived_cl99, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause100])).
% 12.91/2.50 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 12.91/2.50 thf(zf_stmt_7, negated_conjecture,
% 12.91/2.50 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_8])).
% 12.91/2.50 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 12.91/2.50 thf(zip_derived_cl1413, plain,
% 12.91/2.50 ((((sk4) = (nil)) | ~ (ssList @ sk4) | ~ (ssList @ nil) | (ssItem @ sk5))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl99, zip_derived_cl192])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1513, plain, ((((sk2) = (nil)) | (ssItem @ sk5))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1413, zip_derived_cl189, zip_derived_cl189,
% 12.91/2.50 zip_derived_cl186, zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.91/2.50 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.91/2.50 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1779, plain, (((sk2) = (cons @ sk5 @ sk6))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1777, zip_derived_cl1514, zip_derived_cl1516])).
% 12.91/2.50 thf(clause97, axiom,
% 12.91/2.50 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 12.91/2.50 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 12.91/2.50 thf(zip_derived_cl96, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause97])).
% 12.91/2.50 thf(zip_derived_cl1790, plain,
% 12.91/2.50 ((~ (ssItem @ sk5) | ~ (ssList @ sk6) | ((hd @ sk2) = (sk5)))),
% 12.91/2.50 inference('s_sup+', [status(thm)], [zip_derived_cl1779, zip_derived_cl96])).
% 12.91/2.50 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1797, plain, (((hd @ sk2) = (sk5))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1790, zip_derived_cl1514, zip_derived_cl1516])).
% 12.91/2.50 thf(zip_derived_cl1839, plain,
% 12.91/2.50 ((~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | ((sk5) = (hd @ (cons @ sk5 @ nil))))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1831, zip_derived_cl1516, zip_derived_cl1797])).
% 12.91/2.50 thf(zip_derived_cl1862, plain,
% 12.91/2.50 ((~ (ssList @ nil)
% 12.91/2.50 | ~ (ssItem @ sk5)
% 12.91/2.50 | ((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | ((sk5) = (hd @ (cons @ sk5 @ nil))))),
% 12.91/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1839])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1863, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil)) | ((sk5) = (hd @ (cons @ sk5 @ nil))))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1862, zip_derived_cl7, zip_derived_cl1514])).
% 12.91/2.50 thf(clause104, axiom,
% 12.91/2.50 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 12.91/2.50 ( ( nil ) = ( U ) ))).
% 12.91/2.50 thf(zip_derived_cl103, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 12.91/2.50 | ((nil) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause104])).
% 12.91/2.50 thf(zip_derived_cl1865, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ((cons @ sk5 @ (tl @ (cons @ sk5 @ nil))) = (cons @ sk5 @ nil))
% 12.91/2.50 | ((nil) = (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('s_sup+', [status(thm)],
% 12.91/2.50 [zip_derived_cl1863, zip_derived_cl103])).
% 12.91/2.50 thf(zip_derived_cl1868, plain,
% 12.91/2.50 ((((cons @ sk5 @ (tl @ (cons @ sk5 @ nil))) = (cons @ sk5 @ nil))
% 12.91/2.50 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ((nil) = (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('simplify', [status(thm)], [zip_derived_cl1865])).
% 12.91/2.50 thf(zip_derived_cl1901, plain,
% 12.91/2.50 ((~ (ssList @ nil)
% 12.91/2.50 | ~ (ssItem @ sk5)
% 12.91/2.50 | ((cons @ sk5 @ (tl @ (cons @ sk5 @ nil))) = (cons @ sk5 @ nil))
% 12.91/2.50 | ((nil) = (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1868])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1902, plain,
% 12.91/2.50 ((((cons @ sk5 @ (tl @ (cons @ sk5 @ nil))) = (cons @ sk5 @ nil))
% 12.91/2.50 | ((nil) = (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1901, zip_derived_cl7, zip_derived_cl1514])).
% 12.91/2.50 thf(zip_derived_cl85, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause86])).
% 12.91/2.50 thf(zip_derived_cl1903, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | ~ (ssItem @ sk5)
% 12.91/2.50 | ~ (ssList @ (tl @ (cons @ sk5 @ nil)))
% 12.91/2.50 | (ssList @ (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('s_sup+', [status(thm)], [zip_derived_cl1902, zip_derived_cl85])).
% 12.91/2.50 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1914, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | ~ (ssList @ (tl @ (cons @ sk5 @ nil)))
% 12.91/2.50 | (ssList @ (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1903, zip_derived_cl1514])).
% 12.91/2.50 thf(zip_derived_cl1998, plain,
% 12.91/2.50 ((~ (ssList @ nil)
% 12.91/2.50 | ~ (ssItem @ sk5)
% 12.91/2.50 | ((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | (ssList @ (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl1914])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl2000, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil)) | (ssList @ (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1998, zip_derived_cl7, zip_derived_cl1514,
% 12.91/2.50 zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl99, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause100])).
% 12.91/2.50 thf(co1_11, conjecture,
% 12.91/2.50 (~( ( ~( neq @ sk4 @ nil ) ) |
% 12.91/2.50 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk3 ) ) ))).
% 12.91/2.50 thf(zf_stmt_8, negated_conjecture,
% 12.91/2.50 (( ~( neq @ sk4 @ nil ) ) |
% 12.91/2.50 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk3 ) )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_11])).
% 12.91/2.50 thf(zip_derived_cl195, plain,
% 12.91/2.50 ((~ (neq @ sk4 @ nil) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk3)))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_8])).
% 12.91/2.50 thf(zip_derived_cl1416, plain,
% 12.91/2.50 ((((sk4) = (nil))
% 12.91/2.50 | ~ (ssList @ sk4)
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk3)))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl99, zip_derived_cl195])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 12.91/2.50 thf(zip_derived_cl1503, plain,
% 12.91/2.50 ((((sk2) = (nil)) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1416, zip_derived_cl189, zip_derived_cl189,
% 12.91/2.50 zip_derived_cl186, zip_derived_cl7, zip_derived_cl190])).
% 12.91/2.50 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.91/2.50 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.91/2.50 thf(zip_derived_cl1504, plain, (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1503, zip_derived_cl1495])).
% 12.91/2.50 thf(clause149, axiom,
% 12.91/2.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 12.91/2.50 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 12.91/2.50 thf(zip_derived_cl148, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause149])).
% 12.91/2.50 thf(zip_derived_cl2394, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ~ (ssList @ sk6)
% 12.91/2.50 | ((app @ sk1 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.91/2.50 inference('s_sup+', [status(thm)],
% 12.91/2.50 [zip_derived_cl1504, zip_derived_cl148])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl2409, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ((app @ sk1 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl2394, zip_derived_cl1516])).
% 12.91/2.50 thf(zip_derived_cl2432, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((app @ sk1 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.91/2.50 inference('s_sup-', [status(thm)],
% 12.91/2.50 [zip_derived_cl2000, zip_derived_cl2409])).
% 12.91/2.50 thf(clause116, axiom,
% 12.91/2.50 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 12.91/2.50 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 12.91/2.50 thf(zip_derived_cl115, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (((cons @ X1 @ nil) != (X0))
% 12.91/2.50 | ~ (ssItem @ X1)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | (singletonP @ X0))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause116])).
% 12.91/2.50 thf(clause11, axiom, (~( singletonP @ nil ))).
% 12.91/2.50 thf(zip_derived_cl10, plain, (~ (singletonP @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause11])).
% 12.91/2.50 thf(zip_derived_cl1386, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (ssList @ nil) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl115, zip_derived_cl10])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1523, plain,
% 12.91/2.50 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 12.91/2.50 inference('demod', [status(thm)], [zip_derived_cl1386, zip_derived_cl7])).
% 12.91/2.50 thf(clause85, axiom,
% 12.91/2.50 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 12.91/2.50 thf(zip_derived_cl84, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause85])).
% 12.91/2.50 thf(zip_derived_cl1779, plain, (((sk2) = (cons @ sk5 @ sk6))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1777, zip_derived_cl1514, zip_derived_cl1516])).
% 12.91/2.50 thf(zip_derived_cl1504, plain, (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1503, zip_derived_cl1495])).
% 12.91/2.50 thf(clause72, axiom,
% 12.91/2.50 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 12.91/2.50 thf(zip_derived_cl71, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause72])).
% 12.91/2.50 thf(clause179, axiom,
% 12.91/2.50 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 12.91/2.50 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 12.91/2.50 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 12.91/2.50 thf(zip_derived_cl178, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 12.91/2.50 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 12.91/2.50 | ~ (ssList @ X4)
% 12.91/2.50 | ~ (ssList @ X3)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssItem @ X2)
% 12.91/2.50 | ~ (duplicatefreeP @ X0)
% 12.91/2.50 | ~ (ssList @ X0))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause179])).
% 12.91/2.50 thf(zip_derived_cl1390, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.91/2.50 ( (ssItem @ X1)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssItem @ X3)
% 12.91/2.50 | ~ (ssList @ X5)
% 12.91/2.50 | ~ (ssList @ X4)
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl71, zip_derived_cl178])).
% 12.91/2.50 thf(zip_derived_cl3708, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 12.91/2.50 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ~ (ssList @ X4)
% 12.91/2.50 | ~ (ssList @ X5)
% 12.91/2.50 | ~ (ssItem @ X3)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | (ssItem @ X1))),
% 12.91/2.50 inference('simplify', [status(thm)], [zip_derived_cl1390])).
% 12.91/2.50 thf(zip_derived_cl3726, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ~ (ssList @ sk6)
% 12.91/2.50 | ~ (ssItem @ sk5)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | (ssItem @ X2))),
% 12.91/2.50 inference('s_sup-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1504, zip_derived_cl3708])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1514, plain, ( (ssItem @ sk5)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1513, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl3745, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (((app @ sk1 @ (cons @ sk5 @ X1)) != (X0))
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | (ssItem @ X2))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl3726, zip_derived_cl7, zip_derived_cl1516,
% 12.91/2.50 zip_derived_cl1514])).
% 12.91/2.50 thf(zip_derived_cl5544, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (((app @ sk1 @ sk2) != (X0))
% 12.91/2.50 | ~ (ssList @ sk6)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | (ssItem @ X1))),
% 12.91/2.50 inference('s_sup-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1779, zip_derived_cl3745])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl5547, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (((app @ sk1 @ sk2) != (X0)) | ~ (ssList @ X0) | (ssItem @ X1))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl5544, zip_derived_cl1516])).
% 12.91/2.50 thf(zip_derived_cl5562, plain,
% 12.91/2.50 (![X0 : $i]: ( (ssItem @ X0) | ~ (ssList @ (app @ sk1 @ sk2)))),
% 12.91/2.50 inference('eq_res', [status(thm)], [zip_derived_cl5547])).
% 12.91/2.50 thf(zip_derived_cl5564, plain,
% 12.91/2.50 (![X0 : $i]: (~ (ssList @ sk1) | ~ (ssList @ sk2) | (ssItem @ X0))),
% 12.91/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5562])).
% 12.91/2.50 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 12.91/2.50 thf(zf_stmt_9, negated_conjecture, (ssList @ sk1),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_1])).
% 12.91/2.50 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(zip_derived_cl5566, plain, (![X0 : $i]: (ssItem @ X0)),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl5564, zip_derived_cl185, zip_derived_cl186])).
% 12.91/2.50 thf(zip_derived_cl5626, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1523, zip_derived_cl5566])).
% 12.91/2.50 thf(zip_derived_cl6129, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ((app @ sk1 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl2432, zip_derived_cl5626])).
% 12.91/2.50 thf(zip_derived_cl6164, plain,
% 12.91/2.50 ((~ (ssList @ sk6) | ((app @ sk1 @ sk6) = (app @ sk6 @ sk2)))),
% 12.91/2.50 inference('s_sup+', [status(thm)],
% 12.91/2.50 [zip_derived_cl1502, zip_derived_cl6129])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl6169, plain, (((app @ sk1 @ sk6) = (app @ sk6 @ sk2))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl6164, zip_derived_cl1516])).
% 12.91/2.50 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 12.91/2.50 thf(zip_derived_cl72, plain,
% 12.91/2.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause73])).
% 12.91/2.50 thf(zip_derived_cl148, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause149])).
% 12.91/2.50 thf(clause173, axiom,
% 12.91/2.50 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 12.91/2.50 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 12.91/2.50 ( segmentP @ X @ V ))).
% 12.91/2.50 thf(zip_derived_cl172, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.91/2.50 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 12.91/2.50 | ~ (ssList @ X3)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | (segmentP @ X0 @ X2))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause173])).
% 12.91/2.50 thf(zip_derived_cl3180, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.91/2.50 (~ (ssList @ X2)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X3)
% 12.91/2.50 | (segmentP @ X3 @ X1))),
% 12.91/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 12.91/2.50 thf(zip_derived_cl3205, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.91/2.50 ( (segmentP @ X3 @ X1)
% 12.91/2.50 | ~ (ssList @ X3)
% 12.91/2.50 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X2))),
% 12.91/2.50 inference('simplify', [status(thm)], [zip_derived_cl3180])).
% 12.91/2.50 thf(zip_derived_cl4742, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | (segmentP @ X1 @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ((app @ X2 @ X0) != (X1))
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X2))),
% 12.91/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl3205])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl4767, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | (segmentP @ X1 @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ((app @ X2 @ X0) != (X1))
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X2))),
% 12.91/2.50 inference('demod', [status(thm)], [zip_derived_cl4742, zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl4768, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (~ (ssList @ X2)
% 12.91/2.50 | ((app @ X2 @ X0) != (X1))
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | (segmentP @ X1 @ X0)
% 12.91/2.50 | ~ (ssList @ X0))),
% 12.91/2.50 inference('simplify', [status(thm)], [zip_derived_cl4767])).
% 12.91/2.50 thf(zip_derived_cl4875, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | (segmentP @ (app @ X1 @ X0) @ X0)
% 12.91/2.50 | ~ (ssList @ (app @ X1 @ X0))
% 12.91/2.50 | ~ (ssList @ X1))),
% 12.91/2.50 inference('eq_res', [status(thm)], [zip_derived_cl4768])).
% 12.91/2.50 thf(zip_derived_cl84, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause85])).
% 12.91/2.50 thf(zip_derived_cl9317, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X1)
% 12.91/2.50 | (segmentP @ (app @ X1 @ X0) @ X0)
% 12.91/2.50 | ~ (ssList @ X0))),
% 12.91/2.50 inference('clc', [status(thm)], [zip_derived_cl4875, zip_derived_cl84])).
% 12.91/2.50 thf(zip_derived_cl9358, plain,
% 12.91/2.50 ((~ (ssList @ sk6)
% 12.91/2.50 | (segmentP @ (app @ sk1 @ sk6) @ sk2)
% 12.91/2.50 | ~ (ssList @ sk2))),
% 12.91/2.50 inference('s_sup+', [status(thm)],
% 12.91/2.50 [zip_derived_cl6169, zip_derived_cl9317])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(zip_derived_cl9398, plain, ( (segmentP @ (app @ sk1 @ sk6) @ sk2)),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl9358, zip_derived_cl1516, zip_derived_cl186])).
% 12.91/2.50 thf(zip_derived_cl2000, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil)) | (ssList @ (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1998, zip_derived_cl7, zip_derived_cl1514,
% 12.91/2.50 zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl1504, plain, (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1503, zip_derived_cl1495])).
% 12.91/2.50 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 12.91/2.50 thf(zip_derived_cl73, plain,
% 12.91/2.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause74])).
% 12.91/2.50 thf(zip_derived_cl172, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 12.91/2.50 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 12.91/2.50 | ~ (ssList @ X3)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | (segmentP @ X0 @ X2))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause173])).
% 12.91/2.50 thf(zip_derived_cl3187, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ((app @ X0 @ X2) != (X1))
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | (segmentP @ X1 @ X0))),
% 12.91/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl3215, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ((app @ X0 @ X2) != (X1))
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | (segmentP @ X1 @ X0))),
% 12.91/2.50 inference('demod', [status(thm)], [zip_derived_cl3187, zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl3216, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 12.91/2.50 ( (segmentP @ X1 @ X0)
% 12.91/2.50 | ~ (ssList @ X1)
% 12.91/2.50 | ~ (ssList @ X2)
% 12.91/2.50 | ((app @ X0 @ X2) != (X1))
% 12.91/2.50 | ~ (ssList @ X0))),
% 12.91/2.50 inference('simplify', [status(thm)], [zip_derived_cl3215])).
% 12.91/2.50 thf(zip_derived_cl3263, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 ( (segmentP @ X0 @ sk6)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ((sk1) != (X0))
% 12.91/2.50 | ~ (ssList @ sk6))),
% 12.91/2.50 inference('s_sup-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1504, zip_derived_cl3216])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl3282, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 ( (segmentP @ X0 @ sk6)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ((sk1) != (X0)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl3263, zip_derived_cl1516])).
% 12.91/2.50 thf(zip_derived_cl7591, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (((nil) = (cons @ sk5 @ nil))
% 12.91/2.50 | (segmentP @ X0 @ sk6)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((sk1) != (X0)))),
% 12.91/2.50 inference('s_sup-', [status(thm)],
% 12.91/2.50 [zip_derived_cl2000, zip_derived_cl3282])).
% 12.91/2.50 thf(zip_derived_cl5626, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1523, zip_derived_cl5566])).
% 12.91/2.50 thf(zip_derived_cl7592, plain,
% 12.91/2.50 (![X0 : $i]: ( (segmentP @ X0 @ sk6) | ~ (ssList @ X0) | ((sk1) != (X0)))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl7591, zip_derived_cl5626])).
% 12.91/2.50 thf(zip_derived_cl99, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause100])).
% 12.91/2.50 thf(co1_13, conjecture,
% 12.91/2.50 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 12.91/2.50 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 12.91/2.50 thf(zf_stmt_10, negated_conjecture,
% 12.91/2.50 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 12.91/2.50 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_13])).
% 12.91/2.50 thf(zip_derived_cl197, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (segmentP @ sk1 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ~ (neq @ X0 @ nil)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((nil) = (sk2)))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_10])).
% 12.91/2.50 thf(zip_derived_cl1417, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (((X0) = (nil))
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ((nil) = (sk2))
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk1 @ X0))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl99, zip_derived_cl197])).
% 12.91/2.50 thf(zip_derived_cl1615, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (segmentP @ sk1 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ((nil) = (sk2))
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((X0) = (nil)))),
% 12.91/2.50 inference('simplify', [status(thm)], [zip_derived_cl1417])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1616, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (segmentP @ sk1 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ((nil) = (sk2))
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((X0) = (nil)))),
% 12.91/2.50 inference('demod', [status(thm)], [zip_derived_cl1615, zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.91/2.50 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.91/2.50 thf(zip_derived_cl1617, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (segmentP @ sk1 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((X0) = (nil)))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1616, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl7938, plain,
% 12.91/2.50 ((((sk1) != (sk1))
% 12.91/2.50 | ~ (ssList @ sk1)
% 12.91/2.50 | ~ (segmentP @ sk2 @ sk6)
% 12.91/2.50 | ~ (ssList @ sk6)
% 12.91/2.50 | ((sk6) = (nil)))),
% 12.91/2.50 inference('s_sup-', [status(thm)],
% 12.91/2.50 [zip_derived_cl7592, zip_derived_cl1617])).
% 12.91/2.50 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_9])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl7950, plain,
% 12.91/2.50 ((((sk1) != (sk1)) | ~ (segmentP @ sk2 @ sk6) | ((sk6) = (nil)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl7938, zip_derived_cl185, zip_derived_cl1516])).
% 12.91/2.50 thf(zip_derived_cl7951, plain,
% 12.91/2.50 ((((sk6) = (nil)) | ~ (segmentP @ sk2 @ sk6))),
% 12.91/2.50 inference('simplify', [status(thm)], [zip_derived_cl7950])).
% 12.91/2.50 thf(zip_derived_cl2000, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil)) | (ssList @ (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1998, zip_derived_cl7, zip_derived_cl1514,
% 12.91/2.50 zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl1502, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk2))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1501, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl9317, plain,
% 12.91/2.50 (![X0 : $i, X1 : $i]:
% 12.91/2.50 (~ (ssList @ X1)
% 12.91/2.50 | (segmentP @ (app @ X1 @ X0) @ X0)
% 12.91/2.50 | ~ (ssList @ X0))),
% 12.91/2.50 inference('clc', [status(thm)], [zip_derived_cl4875, zip_derived_cl84])).
% 12.91/2.50 thf(zip_derived_cl9335, plain,
% 12.91/2.50 ((~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | (segmentP @ sk2 @ sk6)
% 12.91/2.50 | ~ (ssList @ sk6))),
% 12.91/2.50 inference('s_sup+', [status(thm)],
% 12.91/2.50 [zip_derived_cl1502, zip_derived_cl9317])).
% 12.91/2.50 thf(zip_derived_cl1516, plain, ( (ssList @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1515, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl9376, plain,
% 12.91/2.50 ((~ (ssList @ (cons @ sk5 @ nil)) | (segmentP @ sk2 @ sk6))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl9335, zip_derived_cl1516])).
% 12.91/2.50 thf(zip_derived_cl10469, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil)) | (segmentP @ sk2 @ sk6))),
% 12.91/2.50 inference('s_sup-', [status(thm)],
% 12.91/2.50 [zip_derived_cl2000, zip_derived_cl9376])).
% 12.91/2.50 thf(zip_derived_cl5626, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1523, zip_derived_cl5566])).
% 12.91/2.50 thf(zip_derived_cl10470, plain, ( (segmentP @ sk2 @ sk6)),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl10469, zip_derived_cl5626])).
% 12.91/2.50 thf(zip_derived_cl10471, plain, (((sk6) = (nil))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl7951, zip_derived_cl10470])).
% 12.91/2.50 thf(zip_derived_cl2000, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil)) | (ssList @ (cons @ sk5 @ nil)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1998, zip_derived_cl7, zip_derived_cl1514,
% 12.91/2.50 zip_derived_cl7])).
% 12.91/2.50 thf(zip_derived_cl72, plain,
% 12.91/2.50 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause73])).
% 12.91/2.50 thf(zip_derived_cl6129, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (ssList @ X0)
% 12.91/2.50 | ((app @ sk1 @ X0) = (app @ sk6 @ (app @ (cons @ sk5 @ nil) @ X0))))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl2432, zip_derived_cl5626])).
% 12.91/2.50 thf(zip_derived_cl6161, plain,
% 12.91/2.50 ((~ (ssList @ (cons @ sk5 @ nil))
% 12.91/2.50 | ~ (ssList @ nil)
% 12.91/2.50 | ((app @ sk1 @ nil) = (app @ sk6 @ (cons @ sk5 @ nil))))),
% 12.91/2.50 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl6129])).
% 12.91/2.50 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 12.91/2.50 inference('cnf', [status(esa)], [clause8])).
% 12.91/2.50 thf(zip_derived_cl1504, plain, (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1503, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl6167, plain,
% 12.91/2.50 ((~ (ssList @ (cons @ sk5 @ nil)) | ((app @ sk1 @ nil) = (sk1)))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl6161, zip_derived_cl7, zip_derived_cl1504])).
% 12.91/2.50 thf(zip_derived_cl6783, plain,
% 12.91/2.50 ((((nil) = (cons @ sk5 @ nil)) | ((app @ sk1 @ nil) = (sk1)))),
% 12.91/2.50 inference('s_sup-', [status(thm)],
% 12.91/2.50 [zip_derived_cl2000, zip_derived_cl6167])).
% 12.91/2.50 thf(zip_derived_cl5626, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl1523, zip_derived_cl5566])).
% 12.91/2.50 thf(zip_derived_cl6784, plain, (((app @ sk1 @ nil) = (sk1))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl6783, zip_derived_cl5626])).
% 12.91/2.50 thf(clause57, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ U ))).
% 12.91/2.50 thf(zip_derived_cl56, plain,
% 12.91/2.50 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 12.91/2.50 inference('cnf', [status(esa)], [clause57])).
% 12.91/2.50 thf(co1_12, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) = ( sk2 ) ) ))).
% 12.91/2.50 thf(zf_stmt_11, negated_conjecture,
% 12.91/2.50 (( neq @ sk2 @ nil ) | ( ( nil ) = ( sk2 ) )),
% 12.91/2.50 inference('cnf.neg', [status(esa)], [co1_12])).
% 12.91/2.50 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_11])).
% 12.91/2.50 thf(zip_derived_cl197, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (segmentP @ sk1 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ~ (neq @ X0 @ nil)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((nil) = (sk2)))),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_10])).
% 12.91/2.50 thf(zip_derived_cl1443, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (((sk2) != (X0))
% 12.91/2.50 | ((nil) != (nil))
% 12.91/2.50 | ((nil) = (sk2))
% 12.91/2.50 | ((nil) = (sk2))
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk1 @ X0))),
% 12.91/2.50 inference('dp-resolution', [status(thm)],
% 12.91/2.50 [zip_derived_cl196, zip_derived_cl197])).
% 12.91/2.50 thf(zip_derived_cl1535, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (segmentP @ sk1 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((nil) = (sk2))
% 12.91/2.50 | ((sk2) != (X0)))),
% 12.91/2.50 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 12.91/2.50 thf(zip_derived_cl1495, plain, (((sk2) != (nil))),
% 12.91/2.50 inference('clc', [status(thm)], [zip_derived_cl1494, zip_derived_cl1467])).
% 12.91/2.50 thf(zip_derived_cl1536, plain,
% 12.91/2.50 (![X0 : $i]:
% 12.91/2.50 (~ (segmentP @ sk1 @ X0)
% 12.91/2.50 | ~ (segmentP @ sk2 @ X0)
% 12.91/2.50 | ~ (ssList @ X0)
% 12.91/2.50 | ((sk2) != (X0)))),
% 12.91/2.50 inference('simplify_reflect-', [status(thm)],
% 12.91/2.50 [zip_derived_cl1535, zip_derived_cl1495])).
% 12.91/2.50 thf(zip_derived_cl1537, plain,
% 12.91/2.50 ((~ (ssList @ sk2) | ~ (segmentP @ sk2 @ sk2) | ~ (segmentP @ sk1 @ sk2))),
% 12.91/2.50 inference('eq_res', [status(thm)], [zip_derived_cl1536])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(zip_derived_cl1538, plain,
% 12.91/2.50 ((~ (segmentP @ sk2 @ sk2) | ~ (segmentP @ sk1 @ sk2))),
% 12.91/2.50 inference('demod', [status(thm)], [zip_derived_cl1537, zip_derived_cl186])).
% 12.91/2.50 thf(zip_derived_cl1558, plain,
% 12.91/2.50 ((~ (ssList @ sk2) | ~ (segmentP @ sk1 @ sk2))),
% 12.91/2.50 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl1538])).
% 12.91/2.50 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 12.91/2.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 12.91/2.50 thf(zip_derived_cl1560, plain, (~ (segmentP @ sk1 @ sk2)),
% 12.91/2.50 inference('demod', [status(thm)], [zip_derived_cl1558, zip_derived_cl186])).
% 12.91/2.50 thf(zip_derived_cl10680, plain, ($false),
% 12.91/2.50 inference('demod', [status(thm)],
% 12.91/2.50 [zip_derived_cl9398, zip_derived_cl10471, zip_derived_cl6784,
% 12.91/2.50 zip_derived_cl1560])).
% 12.91/2.50
% 12.91/2.50 % SZS output end Refutation
% 12.91/2.50
% 12.91/2.50
% 12.91/2.50 % Terminating...
% 13.62/2.58 % Runner terminated.
% 13.62/2.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------