TSTP Solution File: SWC368-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC368-1 : 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.9tJ9wqio4o true
% Computer : n003.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 21:31:05 EDT 2023
% Result : Unsatisfiable 103.24s 15.54s
% Output : Refutation 103.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWC368-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9tJ9wqio4o true
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 28 14:52:25 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.58/0.60 % Total configuration time : 435
% 0.58/0.60 % Estimated wc time : 1092
% 0.58/0.60 % Estimated cpu time (7 cpus) : 156.0
% 1.04/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 103.24/15.54 % Solved by fo/fo6_bce.sh.
% 103.24/15.54 % BCE start: 200
% 103.24/15.54 % BCE eliminated: 4
% 103.24/15.54 % PE start: 196
% 103.24/15.54 logic: eq
% 103.24/15.54 % PE eliminated: 6
% 103.24/15.54 % done 4853 iterations in 14.825s
% 103.24/15.54 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 103.24/15.54 % SZS output start Refutation
% 103.24/15.54 thf(nil_type, type, nil: $i).
% 103.24/15.54 thf(cons_type, type, cons: $i > $i > $i).
% 103.24/15.54 thf(sk2_type, type, sk2: $i).
% 103.24/15.54 thf(sk4_type, type, sk4: $i).
% 103.24/15.54 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 103.24/15.54 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 103.24/15.54 thf(memberP_type, type, memberP: $i > $i > $o).
% 103.24/15.54 thf(hd_type, type, hd: $i > $i).
% 103.24/15.54 thf(ssItem_type, type, ssItem: $i > $o).
% 103.24/15.54 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 103.24/15.54 thf(skaf44_type, type, skaf44: $i > $i).
% 103.24/15.54 thf(sk5_type, type, sk5: $i).
% 103.24/15.54 thf(sk3_type, type, sk3: $i).
% 103.24/15.54 thf(app_type, type, app: $i > $i > $i).
% 103.24/15.54 thf(ssList_type, type, ssList: $i > $o).
% 103.24/15.54 thf(sk1_type, type, sk1: $i).
% 103.24/15.54 thf(singletonP_type, type, singletonP: $i > $o).
% 103.24/15.54 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 103.24/15.54 thf(co1_14, conjecture,
% 103.24/15.54 (~( ( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 103.24/15.54 thf(zf_stmt_0, negated_conjecture,
% 103.24/15.54 (( ( nil ) = ( sk3 ) ) | ( memberP @ sk4 @ sk5 )),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_14])).
% 103.24/15.54 thf(zip_derived_cl198, plain, ((((nil) = (sk3)) | (memberP @ sk4 @ sk5))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_0])).
% 103.24/15.54 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 103.24/15.54 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_6])).
% 103.24/15.54 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 103.24/15.54 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 103.24/15.54 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_5])).
% 103.24/15.54 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_2])).
% 103.24/15.54 thf(zip_derived_cl1381, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk5))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl198, zip_derived_cl190, zip_derived_cl189])).
% 103.24/15.54 thf(clause79, axiom,
% 103.24/15.54 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( segmentP @ nil @ U ))).
% 103.24/15.54 thf(zip_derived_cl78, plain,
% 103.24/15.54 (![X0 : $i]: (((nil) != (X0)) | ~ (ssList @ X0) | (segmentP @ nil @ X0))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause79])).
% 103.24/15.54 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 103.24/15.54 thf(zip_derived_cl55, plain,
% 103.24/15.54 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause56])).
% 103.24/15.54 thf(clause152, axiom,
% 103.24/15.54 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 103.24/15.54 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 103.24/15.54 ( segmentP @ U @ W ))).
% 103.24/15.54 thf(zip_derived_cl151, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.24/15.54 (~ (segmentP @ X0 @ X1)
% 103.24/15.54 | ~ (segmentP @ X1 @ X2)
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | (segmentP @ X0 @ X2))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause152])).
% 103.24/15.54 thf(zip_derived_cl2395, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | ~ (segmentP @ nil @ X1)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ nil)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | (segmentP @ X0 @ X1))),
% 103.24/15.54 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl151])).
% 103.24/15.54 thf(clause8, axiom, (ssList @ nil)).
% 103.24/15.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 103.24/15.54 inference('cnf', [status(esa)], [clause8])).
% 103.24/15.54 thf(zip_derived_cl2402, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | ~ (segmentP @ nil @ X1)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | (segmentP @ X0 @ X1))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl2395, zip_derived_cl7])).
% 103.24/15.54 thf(zip_derived_cl2403, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 ( (segmentP @ X0 @ X1)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (segmentP @ nil @ X1)
% 103.24/15.54 | ~ (ssList @ X0))),
% 103.24/15.54 inference('simplify', [status(thm)], [zip_derived_cl2402])).
% 103.24/15.54 thf(zip_derived_cl2458, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | ((nil) != (X0))
% 103.24/15.54 | (segmentP @ X1 @ X0)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (ssList @ X1))),
% 103.24/15.54 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl2403])).
% 103.24/15.54 thf(zip_derived_cl2462, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X1)
% 103.24/15.54 | (segmentP @ X1 @ X0)
% 103.24/15.54 | ((nil) != (X0))
% 103.24/15.54 | ~ (ssList @ X0))),
% 103.24/15.54 inference('simplify', [status(thm)], [zip_derived_cl2458])).
% 103.24/15.54 thf(co1_7, conjecture, (segmentP @ sk2 @ sk1)).
% 103.24/15.54 thf(zf_stmt_3, negated_conjecture, (~( segmentP @ sk2 @ sk1 )),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_7])).
% 103.24/15.54 thf(zip_derived_cl191, plain, (~ (segmentP @ sk2 @ sk1)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_3])).
% 103.24/15.54 thf(zip_derived_cl2467, plain,
% 103.24/15.54 ((~ (ssList @ sk1) | ((nil) != (sk1)) | ~ (ssList @ sk2))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl2462, zip_derived_cl191])).
% 103.24/15.54 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 103.24/15.54 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_1])).
% 103.24/15.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 103.24/15.54 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 103.24/15.54 thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_2])).
% 103.24/15.54 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_5])).
% 103.24/15.54 thf(zip_derived_cl2474, plain, (((nil) != (sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl2467, zip_derived_cl185, zip_derived_cl186])).
% 103.24/15.54 thf(zip_derived_cl52038, plain, ( (memberP @ sk2 @ sk5)),
% 103.24/15.54 inference('simplify_reflect-', [status(thm)],
% 103.24/15.54 [zip_derived_cl1381, zip_derived_cl2474])).
% 103.24/15.54 thf(co1_11, conjecture,
% 103.24/15.54 (~( ( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 103.24/15.54 thf(zf_stmt_6, negated_conjecture,
% 103.24/15.54 (( ( nil ) = ( sk4 ) ) | ( memberP @ sk4 @ sk5 )),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_11])).
% 103.24/15.54 thf(zip_derived_cl195, plain, ((((nil) = (sk4)) | (memberP @ sk4 @ sk5))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_6])).
% 103.24/15.54 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_2])).
% 103.24/15.54 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_2])).
% 103.24/15.54 thf(zip_derived_cl1380, plain, ((((nil) = (sk2)) | (memberP @ sk2 @ sk5))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl189])).
% 103.24/15.54 thf(clause169, axiom,
% 103.24/15.54 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 103.24/15.54 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 103.24/15.54 thf(zip_derived_cl168, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (memberP @ X0 @ X1)
% 103.24/15.54 | ~ (ssItem @ X1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 103.24/15.54 = (X0)))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause169])).
% 103.24/15.54 thf(clause85, axiom,
% 103.24/15.54 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 103.24/15.54 thf(zip_derived_cl84, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause85])).
% 103.24/15.54 thf(zip_derived_cl1381, plain, ((((nil) = (sk1)) | (memberP @ sk2 @ sk5))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl198, zip_derived_cl190, zip_derived_cl189])).
% 103.24/15.54 thf(co1_9, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 ) ))).
% 103.24/15.54 thf(zf_stmt_7, negated_conjecture,
% 103.24/15.54 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 )),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_9])).
% 103.24/15.54 thf(zip_derived_cl193, plain, ((((nil) = (sk3)) | (ssItem @ sk5))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_7])).
% 103.24/15.54 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 103.24/15.54 thf(zip_derived_cl1379, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 103.24/15.54 thf(co1_13, conjecture,
% 103.24/15.54 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 103.24/15.54 thf(zf_stmt_8, negated_conjecture,
% 103.24/15.54 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 103.24/15.54 inference('cnf.neg', [status(esa)], [co1_13])).
% 103.24/15.54 thf(zip_derived_cl197, plain,
% 103.24/15.54 ((((nil) = (sk3)) | ((cons @ sk5 @ nil) = (sk3)))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_8])).
% 103.24/15.54 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 103.24/15.54 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_1])).
% 103.24/15.54 thf(zip_derived_cl1368, plain,
% 103.24/15.54 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl190])).
% 103.24/15.54 thf(clause120, axiom,
% 103.24/15.54 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 103.24/15.54 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 103.24/15.54 thf(zip_derived_cl119, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssItem @ X0)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause120])).
% 103.24/15.54 thf(zip_derived_cl1711, plain,
% 103.24/15.54 (![X0 : $i]:
% 103.24/15.54 (((nil) = (sk1))
% 103.24/15.54 | ~ (ssItem @ sk5)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 103.24/15.54 inference('s_sup+', [status(thm)],
% 103.24/15.54 [zip_derived_cl1368, zip_derived_cl119])).
% 103.24/15.54 thf(zip_derived_cl2474, plain, (((nil) != (sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl2467, zip_derived_cl185, zip_derived_cl186])).
% 103.24/15.54 thf(zip_derived_cl2571, plain,
% 103.24/15.54 (![X0 : $i]:
% 103.24/15.54 (~ (ssItem @ sk5)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 103.24/15.54 inference('simplify_reflect-', [status(thm)],
% 103.24/15.54 [zip_derived_cl1711, zip_derived_cl2474])).
% 103.24/15.54 thf(zip_derived_cl2573, plain,
% 103.24/15.54 (![X0 : $i]:
% 103.24/15.54 (((nil) = (sk1))
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl1379, zip_derived_cl2571])).
% 103.24/15.54 thf(zip_derived_cl2474, plain, (((nil) != (sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl2467, zip_derived_cl185, zip_derived_cl186])).
% 103.24/15.54 thf(zip_derived_cl2574, plain,
% 103.24/15.54 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 103.24/15.54 inference('simplify_reflect-', [status(thm)],
% 103.24/15.54 [zip_derived_cl2573, zip_derived_cl2474])).
% 103.24/15.54 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 103.24/15.54 thf(zip_derived_cl72, plain,
% 103.24/15.54 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause73])).
% 103.24/15.54 thf(zip_derived_cl2648, plain,
% 103.24/15.54 ((~ (ssList @ nil) | ~ (ssList @ sk1) | ((cons @ sk5 @ nil) = (sk1)))),
% 103.24/15.54 inference('s_sup+', [status(thm)], [zip_derived_cl2574, zip_derived_cl72])).
% 103.24/15.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 103.24/15.54 inference('cnf', [status(esa)], [clause8])).
% 103.24/15.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 103.24/15.54 thf(zip_derived_cl2690, plain, (((cons @ sk5 @ nil) = (sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl2648, zip_derived_cl7, zip_derived_cl185])).
% 103.24/15.54 thf(zip_derived_cl168, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (memberP @ X0 @ X1)
% 103.24/15.54 | ~ (ssItem @ X1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 103.24/15.54 = (X0)))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause169])).
% 103.24/15.54 thf(clause72, axiom,
% 103.24/15.54 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 103.24/15.54 thf(zip_derived_cl71, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause72])).
% 103.24/15.54 thf(clause179, axiom,
% 103.24/15.54 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 103.24/15.54 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 103.24/15.54 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 103.24/15.54 thf(zip_derived_cl178, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 103.24/15.54 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 103.24/15.54 | ~ (ssList @ X4)
% 103.24/15.54 | ~ (ssList @ X3)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssItem @ X2)
% 103.24/15.54 | ~ (duplicatefreeP @ X0)
% 103.24/15.54 | ~ (ssList @ X0))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause179])).
% 103.24/15.54 thf(zip_derived_cl1346, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 103.24/15.54 ( (ssItem @ X1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (ssItem @ X3)
% 103.24/15.54 | ~ (ssList @ X5)
% 103.24/15.54 | ~ (ssList @ X4)
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 103.24/15.54 inference('dp-resolution', [status(thm)],
% 103.24/15.54 [zip_derived_cl71, zip_derived_cl178])).
% 103.24/15.54 thf(zip_derived_cl3509, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 103.24/15.54 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ~ (ssList @ X4)
% 103.24/15.54 | ~ (ssList @ X5)
% 103.24/15.54 | ~ (ssItem @ X3)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | (ssItem @ X1))),
% 103.24/15.54 inference('simplify', [status(thm)], [zip_derived_cl1346])).
% 103.24/15.54 thf(zip_derived_cl3520, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | ~ (ssItem @ X3)
% 103.24/15.54 | ~ (memberP @ X0 @ X3)
% 103.24/15.54 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ~ (ssList @ (skaf43 @ X3 @ X0))
% 103.24/15.54 | ~ (ssList @ (skaf42 @ X0 @ X3))
% 103.24/15.54 | ~ (ssItem @ X3)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | (ssItem @ X4))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl168, zip_derived_cl3509])).
% 103.24/15.54 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 103.24/15.54 thf(zip_derived_cl51, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause52])).
% 103.24/15.54 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 103.24/15.54 thf(zip_derived_cl52, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause53])).
% 103.24/15.54 thf(zip_derived_cl3541, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | ~ (ssItem @ X3)
% 103.24/15.54 | ~ (memberP @ X0 @ X3)
% 103.24/15.54 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ~ (ssItem @ X3)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | (ssItem @ X4))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl3520, zip_derived_cl51, zip_derived_cl52])).
% 103.24/15.54 thf(zip_derived_cl3542, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 103.24/15.54 ( (ssItem @ X4)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ((app @ X0 @ (cons @ X3 @ X2)) != (X1))
% 103.24/15.54 | ~ (memberP @ X0 @ X3)
% 103.24/15.54 | ~ (ssItem @ X3)
% 103.24/15.54 | ~ (ssList @ X0))),
% 103.24/15.54 inference('simplify', [status(thm)], [zip_derived_cl3541])).
% 103.24/15.54 thf(zip_derived_cl4299, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.24/15.54 ( (ssItem @ X2)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (ssList @ nil)
% 103.24/15.54 | ((app @ X1 @ sk1) != (X0))
% 103.24/15.54 | ~ (memberP @ X1 @ sk5)
% 103.24/15.54 | ~ (ssItem @ sk5)
% 103.24/15.54 | ~ (ssList @ X1))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl2690, zip_derived_cl3542])).
% 103.24/15.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 103.24/15.54 inference('cnf', [status(esa)], [clause8])).
% 103.24/15.54 thf(zip_derived_cl1368, plain,
% 103.24/15.54 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl197, zip_derived_cl190, zip_derived_cl190])).
% 103.24/15.54 thf(clause116, axiom,
% 103.24/15.54 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 103.24/15.54 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 103.24/15.54 thf(zip_derived_cl115, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (((cons @ X1 @ nil) != (X0))
% 103.24/15.54 | ~ (ssItem @ X1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | (singletonP @ X0))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause116])).
% 103.24/15.54 thf(clause101, axiom,
% 103.24/15.54 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 103.24/15.54 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 103.24/15.54 thf(zip_derived_cl100, plain,
% 103.24/15.54 (![X0 : $i]:
% 103.24/15.54 (~ (singletonP @ X0)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause101])).
% 103.24/15.54 thf(zip_derived_cl1343, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X1)
% 103.24/15.54 | ~ (ssItem @ X0)
% 103.24/15.54 | ((cons @ X0 @ nil) != (X1))
% 103.24/15.54 | ((cons @ (skaf44 @ X1) @ nil) = (X1))
% 103.24/15.54 | ~ (ssList @ X1))),
% 103.24/15.54 inference('dp-resolution', [status(thm)],
% 103.24/15.54 [zip_derived_cl115, zip_derived_cl100])).
% 103.24/15.54 thf(zip_derived_cl1451, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (((cons @ (skaf44 @ X1) @ nil) = (X1))
% 103.24/15.54 | ((cons @ X0 @ nil) != (X1))
% 103.24/15.54 | ~ (ssItem @ X0)
% 103.24/15.54 | ~ (ssList @ X1))),
% 103.24/15.54 inference('simplify', [status(thm)], [zip_derived_cl1343])).
% 103.24/15.54 thf(zip_derived_cl1454, plain,
% 103.24/15.54 (![X0 : $i]:
% 103.24/15.54 (~ (ssList @ (cons @ X0 @ nil))
% 103.24/15.54 | ~ (ssItem @ X0)
% 103.24/15.54 | ((cons @ (skaf44 @ (cons @ X0 @ nil)) @ nil) = (cons @ X0 @ nil)))),
% 103.24/15.54 inference('eq_res', [status(thm)], [zip_derived_cl1451])).
% 103.24/15.54 thf(zip_derived_cl1487, plain,
% 103.24/15.54 ((((nil) = (sk1))
% 103.24/15.54 | ~ (ssList @ sk1)
% 103.24/15.54 | ~ (ssItem @ sk5)
% 103.24/15.54 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 103.24/15.54 inference('s_sup+', [status(thm)],
% 103.24/15.54 [zip_derived_cl1368, zip_derived_cl1454])).
% 103.24/15.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 103.24/15.54 thf(zip_derived_cl1493, plain,
% 103.24/15.54 ((((nil) = (sk1))
% 103.24/15.54 | ~ (ssItem @ sk5)
% 103.24/15.54 | ((cons @ (skaf44 @ sk1) @ nil) = (sk1)))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl1487, zip_derived_cl185])).
% 103.24/15.54 thf(zip_derived_cl1379, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 103.24/15.54 thf(zip_derived_cl1848, plain,
% 103.24/15.54 ((((cons @ (skaf44 @ sk1) @ nil) = (sk1)) | ((nil) = (sk1)))),
% 103.24/15.54 inference('clc', [status(thm)], [zip_derived_cl1493, zip_derived_cl1379])).
% 103.24/15.54 thf(clause97, axiom,
% 103.24/15.54 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 103.24/15.54 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 103.24/15.54 thf(zip_derived_cl96, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause97])).
% 103.24/15.54 thf(zip_derived_cl1851, plain,
% 103.24/15.54 ((((nil) = (sk1))
% 103.24/15.54 | ~ (ssItem @ (skaf44 @ sk1))
% 103.24/15.54 | ~ (ssList @ nil)
% 103.24/15.54 | ((hd @ sk1) = (skaf44 @ sk1)))),
% 103.24/15.54 inference('s_sup+', [status(thm)], [zip_derived_cl1848, zip_derived_cl96])).
% 103.24/15.54 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 103.24/15.54 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause47])).
% 103.24/15.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 103.24/15.54 inference('cnf', [status(esa)], [clause8])).
% 103.24/15.54 thf(zip_derived_cl1867, plain,
% 103.24/15.54 ((((nil) = (sk1)) | ((hd @ sk1) = (skaf44 @ sk1)))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl1851, zip_derived_cl46, zip_derived_cl7])).
% 103.24/15.54 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause47])).
% 103.24/15.54 thf(zip_derived_cl1976, plain, ((((nil) = (sk1)) | (ssItem @ (hd @ sk1)))),
% 103.24/15.54 inference('s_sup+', [status(thm)], [zip_derived_cl1867, zip_derived_cl46])).
% 103.24/15.54 thf(zip_derived_cl1379, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 103.24/15.54 thf(zip_derived_cl2690, plain, (((cons @ sk5 @ nil) = (sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl2648, zip_derived_cl7, zip_derived_cl185])).
% 103.24/15.54 thf(zip_derived_cl96, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause97])).
% 103.24/15.54 thf(zip_derived_cl2696, plain,
% 103.24/15.54 ((~ (ssItem @ sk5) | ~ (ssList @ nil) | ((hd @ sk1) = (sk5)))),
% 103.24/15.54 inference('s_sup+', [status(thm)], [zip_derived_cl2690, zip_derived_cl96])).
% 103.24/15.54 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 103.24/15.54 inference('cnf', [status(esa)], [clause8])).
% 103.24/15.54 thf(zip_derived_cl2715, plain, ((~ (ssItem @ sk5) | ((hd @ sk1) = (sk5)))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl2696, zip_derived_cl7])).
% 103.24/15.54 thf(zip_derived_cl2975, plain, ((((nil) = (sk1)) | ((hd @ sk1) = (sk5)))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl1379, zip_derived_cl2715])).
% 103.24/15.54 thf(zip_derived_cl2474, plain, (((nil) != (sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl2467, zip_derived_cl185, zip_derived_cl186])).
% 103.24/15.54 thf(zip_derived_cl2976, plain, (((hd @ sk1) = (sk5))),
% 103.24/15.54 inference('simplify_reflect-', [status(thm)],
% 103.24/15.54 [zip_derived_cl2975, zip_derived_cl2474])).
% 103.24/15.54 thf(zip_derived_cl2984, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl1976, zip_derived_cl2976])).
% 103.24/15.54 thf(zip_derived_cl2474, plain, (((nil) != (sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl2467, zip_derived_cl185, zip_derived_cl186])).
% 103.24/15.54 thf(zip_derived_cl2985, plain, ( (ssItem @ sk5)),
% 103.24/15.54 inference('simplify_reflect-', [status(thm)],
% 103.24/15.54 [zip_derived_cl2984, zip_derived_cl2474])).
% 103.24/15.54 thf(zip_derived_cl4313, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.24/15.54 ( (ssItem @ X2)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((app @ X1 @ sk1) != (X0))
% 103.24/15.54 | ~ (memberP @ X1 @ sk5)
% 103.24/15.54 | ~ (ssList @ X1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl4299, zip_derived_cl7, zip_derived_cl2985])).
% 103.24/15.54 thf(zip_derived_cl5363, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (((nil) = (sk1))
% 103.24/15.54 | (ssItem @ X0)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ((app @ sk2 @ sk1) != (X1))
% 103.24/15.54 | ~ (ssList @ sk2))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl1381, zip_derived_cl4313])).
% 103.24/15.54 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_5])).
% 103.24/15.54 thf(zip_derived_cl5368, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (((nil) = (sk1))
% 103.24/15.54 | (ssItem @ X0)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ((app @ sk2 @ sk1) != (X1)))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl5363, zip_derived_cl186])).
% 103.24/15.54 thf(zip_derived_cl2474, plain, (((nil) != (sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl2467, zip_derived_cl185, zip_derived_cl186])).
% 103.24/15.54 thf(zip_derived_cl5369, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 ( (ssItem @ X0) | ~ (ssList @ X1) | ((app @ sk2 @ sk1) != (X1)))),
% 103.24/15.54 inference('simplify_reflect-', [status(thm)],
% 103.24/15.54 [zip_derived_cl5368, zip_derived_cl2474])).
% 103.24/15.54 thf(zip_derived_cl5407, plain,
% 103.24/15.54 (![X0 : $i]: (~ (ssList @ (app @ sk2 @ sk1)) | (ssItem @ X0))),
% 103.24/15.54 inference('eq_res', [status(thm)], [zip_derived_cl5369])).
% 103.24/15.54 thf(zip_derived_cl5483, plain,
% 103.24/15.54 (![X0 : $i]: (~ (ssList @ sk2) | ~ (ssList @ sk1) | (ssItem @ X0))),
% 103.24/15.54 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5407])).
% 103.24/15.54 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_5])).
% 103.24/15.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 103.24/15.54 thf(zip_derived_cl5485, plain, (![X0 : $i]: (ssItem @ X0)),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl5483, zip_derived_cl186, zip_derived_cl185])).
% 103.24/15.54 thf(zip_derived_cl5662, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (memberP @ X0 @ X1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 103.24/15.54 = (X0)))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl5485])).
% 103.24/15.54 thf(zip_derived_cl2574, plain,
% 103.24/15.54 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (cons @ sk5 @ X0)))),
% 103.24/15.54 inference('simplify_reflect-', [status(thm)],
% 103.24/15.54 [zip_derived_cl2573, zip_derived_cl2474])).
% 103.24/15.54 thf(clause149, axiom,
% 103.24/15.54 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 103.24/15.54 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 103.24/15.54 thf(zip_derived_cl148, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause149])).
% 103.24/15.54 thf(clause173, axiom,
% 103.24/15.54 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 103.24/15.54 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 103.24/15.54 ( segmentP @ X @ V ))).
% 103.24/15.54 thf(zip_derived_cl172, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.24/15.54 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 103.24/15.54 | ~ (ssList @ X3)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | (segmentP @ X0 @ X2))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause173])).
% 103.24/15.54 thf(zip_derived_cl3124, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.24/15.54 (~ (ssList @ X2)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (ssList @ X2)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ X3)
% 103.24/15.54 | (segmentP @ X3 @ X1))),
% 103.24/15.54 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 103.24/15.54 thf(zip_derived_cl3145, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 103.24/15.54 ( (segmentP @ X3 @ X1)
% 103.24/15.54 | ~ (ssList @ X3)
% 103.24/15.54 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ~ (ssList @ X2))),
% 103.24/15.54 inference('simplify', [status(thm)], [zip_derived_cl3124])).
% 103.24/15.54 thf(zip_derived_cl7345, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | (segmentP @ X1 @ sk1)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (ssList @ sk1)
% 103.24/15.54 | ~ (ssList @ X2))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl2574, zip_derived_cl3145])).
% 103.24/15.54 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_4])).
% 103.24/15.54 thf(zip_derived_cl7374, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | (segmentP @ X1 @ sk1)
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (ssList @ X2))),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl7345, zip_derived_cl185])).
% 103.24/15.54 thf(zip_derived_cl7375, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 103.24/15.54 (~ (ssList @ X2)
% 103.24/15.54 | ((app @ X2 @ (cons @ sk5 @ X0)) != (X1))
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | (segmentP @ X1 @ sk1)
% 103.24/15.54 | ~ (ssList @ X0))),
% 103.24/15.54 inference('simplify', [status(thm)], [zip_derived_cl7374])).
% 103.24/15.54 thf(zip_derived_cl51117, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | ~ (memberP @ X0 @ sk5)
% 103.24/15.54 | ~ (ssList @ (skaf42 @ X0 @ sk5))
% 103.24/15.54 | ((X0) != (X1))
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | (segmentP @ X1 @ sk1)
% 103.24/15.54 | ~ (ssList @ (skaf43 @ sk5 @ X0)))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl5662, zip_derived_cl7375])).
% 103.24/15.54 thf(zip_derived_cl52, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause53])).
% 103.24/15.54 thf(zip_derived_cl51, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause52])).
% 103.24/15.54 thf(zip_derived_cl51148, plain,
% 103.24/15.54 (![X0 : $i, X1 : $i]:
% 103.24/15.54 (~ (ssList @ X0)
% 103.24/15.54 | ~ (memberP @ X0 @ sk5)
% 103.24/15.54 | ((X0) != (X1))
% 103.24/15.54 | ~ (ssList @ X1)
% 103.24/15.54 | (segmentP @ X1 @ sk1))),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl51117, zip_derived_cl52, zip_derived_cl51])).
% 103.24/15.54 thf(zip_derived_cl51889, plain,
% 103.24/15.54 (![X0 : $i]:
% 103.24/15.54 ( (segmentP @ X0 @ sk1)
% 103.24/15.54 | ~ (ssList @ X0)
% 103.24/15.54 | ~ (memberP @ X0 @ sk5)
% 103.24/15.54 | ~ (ssList @ X0))),
% 103.24/15.54 inference('eq_res', [status(thm)], [zip_derived_cl51148])).
% 103.24/15.54 thf(zip_derived_cl51890, plain,
% 103.24/15.54 (![X0 : $i]:
% 103.24/15.54 (~ (memberP @ X0 @ sk5) | ~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 103.24/15.54 inference('simplify', [status(thm)], [zip_derived_cl51889])).
% 103.24/15.54 thf(zip_derived_cl191, plain, (~ (segmentP @ sk2 @ sk1)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_3])).
% 103.24/15.54 thf(zip_derived_cl51980, plain,
% 103.24/15.54 ((~ (ssList @ sk2) | ~ (memberP @ sk2 @ sk5))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl51890, zip_derived_cl191])).
% 103.24/15.54 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 103.24/15.54 inference('cnf', [status(esa)], [zf_stmt_5])).
% 103.24/15.54 thf(zip_derived_cl52011, plain, (~ (memberP @ sk2 @ sk5)),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl51980, zip_derived_cl186])).
% 103.24/15.54 thf(zip_derived_cl52042, plain, (((nil) = (sk2))),
% 103.24/15.54 inference('s_sup-', [status(thm)],
% 103.24/15.54 [zip_derived_cl1380, zip_derived_cl52011])).
% 103.24/15.54 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 103.24/15.54 thf(zip_derived_cl70, plain,
% 103.24/15.54 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 103.24/15.54 inference('cnf', [status(esa)], [clause71])).
% 103.24/15.54 thf(zip_derived_cl5485, plain, (![X0 : $i]: (ssItem @ X0)),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl5483, zip_derived_cl186, zip_derived_cl185])).
% 103.24/15.54 thf(zip_derived_cl5627, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 103.24/15.54 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl5485])).
% 103.24/15.54 thf(zip_derived_cl52376, plain, ($false),
% 103.24/15.54 inference('demod', [status(thm)],
% 103.24/15.54 [zip_derived_cl52038, zip_derived_cl52042, zip_derived_cl5627])).
% 103.24/15.54
% 103.24/15.54 % SZS output end Refutation
% 103.24/15.54
% 103.24/15.54
% 103.24/15.54 % Terminating...
% 104.10/15.66 % Runner terminated.
% 104.10/15.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------