TSTP Solution File: SWC160-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC160-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LSmwf6UKMF true
% Computer : n006.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 21:29:34 EDT 2023
% Result : Unsatisfiable 91.39s 13.66s
% Output : Refutation 91.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC160-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LSmwf6UKMF true
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 15:04:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.44/0.65 % Total configuration time : 435
% 0.44/0.65 % Estimated wc time : 1092
% 0.44/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 91.39/13.66 % Solved by fo/fo13.sh.
% 91.39/13.66 % done 10571 iterations in 12.861s
% 91.39/13.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 91.39/13.66 % SZS output start Refutation
% 91.39/13.66 thf(nil_type, type, nil: $i).
% 91.39/13.66 thf(leq_type, type, leq: $i > $i > $o).
% 91.39/13.66 thf(sk8_type, type, sk8: $i).
% 91.39/13.66 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 91.39/13.66 thf(cons_type, type, cons: $i > $i > $i).
% 91.39/13.66 thf(sk9_type, type, sk9: $i).
% 91.39/13.66 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 91.39/13.66 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 91.39/13.66 thf(sk10_type, type, sk10: $i).
% 91.39/13.66 thf(lt_type, type, lt: $i > $i > $o).
% 91.39/13.66 thf(ssItem_type, type, ssItem: $i > $o).
% 91.39/13.66 thf(sk7_type, type, sk7: $i).
% 91.39/13.66 thf(sk6_type, type, sk6: $i).
% 91.39/13.66 thf(skaf82_type, type, skaf82: $i > $i).
% 91.39/13.66 thf(strictorderedP_type, type, strictorderedP: $i > $o).
% 91.39/13.66 thf(sk3_type, type, sk3: $i).
% 91.39/13.66 thf(app_type, type, app: $i > $i > $i).
% 91.39/13.66 thf(ssList_type, type, ssList: $i > $o).
% 91.39/13.66 thf(sk1_type, type, sk1: $i).
% 91.39/13.66 thf(clause86, axiom,
% 91.39/13.66 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 91.39/13.66 thf(zip_derived_cl85, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause86])).
% 91.39/13.66 thf(zip_derived_cl85, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause86])).
% 91.39/13.66 thf(clause85, axiom,
% 91.39/13.66 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 91.39/13.66 thf(zip_derived_cl84, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause85])).
% 91.39/13.66 thf(clause72, axiom,
% 91.39/13.66 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 91.39/13.66 thf(zip_derived_cl71, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause72])).
% 91.39/13.66 thf(zip_derived_cl85, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause86])).
% 91.39/13.66 thf(zip_derived_cl84, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause85])).
% 91.39/13.66 thf(clause120, axiom,
% 91.39/13.66 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 91.39/13.66 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 91.39/13.66 thf(zip_derived_cl119, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssItem @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause120])).
% 91.39/13.66 thf(zip_derived_cl85, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause86])).
% 91.39/13.66 thf(zip_derived_cl119, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssItem @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause120])).
% 91.39/13.66 thf(zip_derived_cl85, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause86])).
% 91.39/13.66 thf(clause149, axiom,
% 91.39/13.66 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 91.39/13.66 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 91.39/13.66 thf(zip_derived_cl148, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X2)
% 91.39/13.66 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause149])).
% 91.39/13.66 thf(co1_16, conjecture,
% 91.39/13.66 (( app @
% 91.39/13.66 ( app @
% 91.39/13.66 ( app @ ( app @ sk8 @ ( cons @ sk6 @ nil ) ) @ sk9 ) @
% 91.39/13.66 ( cons @ sk7 @ nil ) ) @
% 91.39/13.66 sk10 ) !=
% 91.39/13.66 ( sk1 ))).
% 91.39/13.66 thf(zf_stmt_0, negated_conjecture,
% 91.39/13.66 (( app @
% 91.39/13.66 ( app @
% 91.39/13.66 ( app @ ( app @ sk8 @ ( cons @ sk6 @ nil ) ) @ sk9 ) @
% 91.39/13.66 ( cons @ sk7 @ nil ) ) @
% 91.39/13.66 sk10 ) =
% 91.39/13.66 ( sk1 )),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_16])).
% 91.39/13.66 thf(zip_derived_cl200, plain,
% 91.39/13.66 (((app @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1))),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 91.39/13.66 thf(zip_derived_cl1394, plain,
% 91.39/13.66 ((~ (ssList @ sk8)
% 91.39/13.66 | ~ (ssList @ (cons @ sk6 @ nil))
% 91.39/13.66 | ~ (ssList @ sk9)
% 91.39/13.66 | ((app @
% 91.39/13.66 (app @ (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9)) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1)))),
% 91.39/13.66 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl200])).
% 91.39/13.66 thf(co1_13, conjecture, (~( ssList @ sk8 ))).
% 91.39/13.66 thf(zf_stmt_1, negated_conjecture, (ssList @ sk8),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_13])).
% 91.39/13.66 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_1])).
% 91.39/13.66 thf(co1_14, conjecture, (~( ssList @ sk9 ))).
% 91.39/13.66 thf(zf_stmt_2, negated_conjecture, (ssList @ sk9),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_14])).
% 91.39/13.66 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 91.39/13.66 thf(zip_derived_cl1452, plain,
% 91.39/13.66 ((~ (ssList @ (cons @ sk6 @ nil))
% 91.39/13.66 | ((app @
% 91.39/13.66 (app @ (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9)) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1)))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl1394, zip_derived_cl197, zip_derived_cl198])).
% 91.39/13.66 thf(zip_derived_cl1462, plain,
% 91.39/13.66 ((~ (ssList @ nil)
% 91.39/13.66 | ~ (ssItem @ sk6)
% 91.39/13.66 | ((app @
% 91.39/13.66 (app @ (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9)) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1)))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1452])).
% 91.39/13.66 thf(clause8, axiom, (ssList @ nil)).
% 91.39/13.66 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.39/13.66 inference('cnf', [status(esa)], [clause8])).
% 91.39/13.66 thf(co1_11, conjecture, (~( ssItem @ sk6 ))).
% 91.39/13.66 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk6),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_11])).
% 91.39/13.66 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.39/13.66 thf(zip_derived_cl1465, plain,
% 91.39/13.66 (((app @
% 91.39/13.66 (app @ (app @ sk8 @ (app @ (cons @ sk6 @ nil) @ sk9)) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl1462, zip_derived_cl7, zip_derived_cl195])).
% 91.39/13.66 thf(zip_derived_cl1487, plain,
% 91.39/13.66 ((~ (ssList @ sk9)
% 91.39/13.66 | ~ (ssItem @ sk6)
% 91.39/13.66 | ((app @
% 91.39/13.66 (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @ (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1)))),
% 91.39/13.66 inference('s_sup+', [status(thm)],
% 91.39/13.66 [zip_derived_cl119, zip_derived_cl1465])).
% 91.39/13.66 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 91.39/13.66 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.39/13.66 thf(zip_derived_cl1489, plain,
% 91.39/13.66 (((app @ (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @ (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl1487, zip_derived_cl198, zip_derived_cl195])).
% 91.39/13.66 thf(zip_derived_cl148, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X2)
% 91.39/13.66 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause149])).
% 91.39/13.66 thf(zip_derived_cl1537, plain,
% 91.39/13.66 ((~ (ssList @ sk10)
% 91.39/13.66 | ~ (ssList @ (cons @ sk7 @ nil))
% 91.39/13.66 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @
% 91.39/13.66 (app @ (cons @ sk7 @ nil) @ sk10))))),
% 91.39/13.66 inference('s_sup+', [status(thm)],
% 91.39/13.66 [zip_derived_cl1489, zip_derived_cl148])).
% 91.39/13.66 thf(co1_15, conjecture, (~( ssList @ sk10 ))).
% 91.39/13.66 thf(zf_stmt_4, negated_conjecture, (ssList @ sk10),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_15])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(zip_derived_cl1557, plain,
% 91.39/13.66 ((~ (ssList @ (cons @ sk7 @ nil))
% 91.39/13.66 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @
% 91.39/13.66 (app @ (cons @ sk7 @ nil) @ sk10))))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl1537, zip_derived_cl199])).
% 91.39/13.66 thf(zip_derived_cl2297, plain,
% 91.39/13.66 ((~ (ssList @ nil)
% 91.39/13.66 | ~ (ssItem @ sk7)
% 91.39/13.66 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @
% 91.39/13.66 (app @ (cons @ sk7 @ nil) @ sk10))))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1557])).
% 91.39/13.66 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.39/13.66 inference('cnf', [status(esa)], [clause8])).
% 91.39/13.66 thf(co1_12, conjecture, (~( ssItem @ sk7 ))).
% 91.39/13.66 thf(zf_stmt_5, negated_conjecture, (ssItem @ sk7),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_12])).
% 91.39/13.66 thf(zip_derived_cl196, plain, ( (ssItem @ sk7)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.39/13.66 thf(zip_derived_cl2300, plain,
% 91.39/13.66 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @
% 91.39/13.66 (app @ (cons @ sk7 @ nil) @ sk10))))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl2297, zip_derived_cl7, zip_derived_cl196])).
% 91.39/13.66 thf(zip_derived_cl2356, plain,
% 91.39/13.66 ((~ (ssList @ sk10)
% 91.39/13.66 | ~ (ssItem @ sk7)
% 91.39/13.66 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @ (cons @ sk7 @ sk10))))),
% 91.39/13.66 inference('s_sup+', [status(thm)],
% 91.39/13.66 [zip_derived_cl119, zip_derived_cl2300])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(zip_derived_cl196, plain, ( (ssItem @ sk7)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.39/13.66 thf(zip_derived_cl2358, plain,
% 91.39/13.66 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @ (cons @ sk7 @ sk10))))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl2356, zip_derived_cl199, zip_derived_cl196])).
% 91.39/13.66 thf(clause179, axiom,
% 91.39/13.66 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 91.39/13.66 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 91.39/13.66 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 91.39/13.66 thf(zip_derived_cl178, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 91.39/13.66 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 91.39/13.66 | ~ (ssList @ X4)
% 91.39/13.66 | ~ (ssList @ X3)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssItem @ X2)
% 91.39/13.66 | ~ (duplicatefreeP @ X0)
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause179])).
% 91.39/13.66 thf(zip_derived_cl3367, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((app @ sk1 @ (cons @ sk7 @ X1)) != (X0))
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ sk10)
% 91.39/13.66 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ~ (ssItem @ sk7)
% 91.39/13.66 | ~ (duplicatefreeP @ X0)
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl2358, zip_derived_cl178])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(zip_derived_cl196, plain, ( (ssItem @ sk7)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.39/13.66 thf(zip_derived_cl3388, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((app @ sk1 @ (cons @ sk7 @ X1)) != (X0))
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ~ (duplicatefreeP @ X0)
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl3367, zip_derived_cl199, zip_derived_cl196])).
% 91.39/13.66 thf(zip_derived_cl3389, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (duplicatefreeP @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((app @ sk1 @ (cons @ sk7 @ X1)) != (X0))
% 91.39/13.66 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9))))),
% 91.39/13.66 inference('simplify', [status(thm)], [zip_derived_cl3388])).
% 91.39/13.66 thf(zip_derived_cl3492, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ sk8)
% 91.39/13.66 | ~ (ssList @ (cons @ sk6 @ sk9))
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (duplicatefreeP @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((app @ sk1 @ (cons @ sk7 @ X1)) != (X0)))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3389])).
% 91.39/13.66 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_1])).
% 91.39/13.66 thf(zip_derived_cl3493, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ (cons @ sk6 @ sk9))
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (duplicatefreeP @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((app @ sk1 @ (cons @ sk7 @ X1)) != (X0)))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl3492, zip_derived_cl197])).
% 91.39/13.66 thf(zip_derived_cl3776, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ sk9)
% 91.39/13.66 | ~ (ssItem @ sk6)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (duplicatefreeP @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((app @ sk1 @ (cons @ sk7 @ X1)) != (X0)))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3493])).
% 91.39/13.66 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 91.39/13.66 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.39/13.66 thf(zip_derived_cl3777, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (duplicatefreeP @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((app @ sk1 @ (cons @ sk7 @ X1)) != (X0)))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl3776, zip_derived_cl198, zip_derived_cl195])).
% 91.39/13.66 thf(zip_derived_cl3778, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk7 @ X0)))
% 91.39/13.66 | ~ (ssList @ (app @ sk1 @ (cons @ sk7 @ X0))))),
% 91.39/13.66 inference('eq_res', [status(thm)], [zip_derived_cl3777])).
% 91.39/13.66 thf(zip_derived_cl3779, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 ( (ssItem @ X1)
% 91.39/13.66 | ~ (ssList @ (app @ sk1 @ (cons @ sk7 @ X0)))
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ (app @ sk1 @ (cons @ sk7 @ X0))))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl3778])).
% 91.39/13.66 thf(zip_derived_cl3780, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ (app @ sk1 @ (cons @ sk7 @ X0)))
% 91.39/13.66 | (ssItem @ X1))),
% 91.39/13.66 inference('simplify', [status(thm)], [zip_derived_cl3779])).
% 91.39/13.66 thf(zip_derived_cl3781, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ sk1)
% 91.39/13.66 | ~ (ssList @ (cons @ sk7 @ X0))
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | (ssItem @ X1))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3780])).
% 91.39/13.66 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 91.39/13.66 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_1])).
% 91.39/13.66 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_6])).
% 91.39/13.66 thf(zip_derived_cl3782, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ (cons @ sk7 @ X0)) | ~ (ssList @ X0) | (ssItem @ X1))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl3781, zip_derived_cl185])).
% 91.39/13.66 thf(zip_derived_cl3914, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | ~ (ssItem @ sk7) | ~ (ssList @ X0) | (ssItem @ X1))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3782])).
% 91.39/13.66 thf(zip_derived_cl196, plain, ( (ssItem @ sk7)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.39/13.66 thf(zip_derived_cl3915, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | ~ (ssList @ X0) | (ssItem @ X1))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl3914, zip_derived_cl196])).
% 91.39/13.66 thf(zip_derived_cl3916, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]: ( (ssItem @ X1) | ~ (ssList @ X0))),
% 91.39/13.66 inference('simplify', [status(thm)], [zip_derived_cl3915])).
% 91.39/13.66 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 91.39/13.66 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause13])).
% 91.39/13.66 thf(zip_derived_cl3917, plain, (![X1 : $i]: (ssItem @ X1)),
% 91.39/13.66 inference('s_sup+', [status(thm)], [zip_derived_cl3916, zip_derived_cl12])).
% 91.39/13.66 thf(zip_derived_cl3992, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3917])).
% 91.39/13.66 thf(zip_derived_cl84, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause85])).
% 91.39/13.66 thf(clause157, axiom,
% 91.39/13.66 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 91.39/13.66 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 91.39/13.66 thf(zip_derived_cl156, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.39/13.66 (~ (ssItem @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X2)
% 91.39/13.66 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause157])).
% 91.39/13.66 thf(zip_derived_cl2300, plain,
% 91.39/13.66 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @
% 91.39/13.66 (app @ (cons @ sk7 @ nil) @ sk10))))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl2297, zip_derived_cl7, zip_derived_cl196])).
% 91.39/13.66 thf(zip_derived_cl2355, plain,
% 91.39/13.66 ((~ (ssList @ sk10)
% 91.39/13.66 | ~ (ssList @ nil)
% 91.39/13.66 | ~ (ssItem @ sk7)
% 91.39/13.66 | ~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @
% 91.39/13.66 (cons @ sk7 @ (app @ nil @ sk10)))))),
% 91.39/13.66 inference('s_sup+', [status(thm)],
% 91.39/13.66 [zip_derived_cl156, zip_derived_cl2300])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.39/13.66 inference('cnf', [status(esa)], [clause8])).
% 91.39/13.66 thf(zip_derived_cl196, plain, ( (ssItem @ sk7)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.39/13.66 thf(zip_derived_cl2357, plain,
% 91.39/13.66 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1)
% 91.39/13.66 = (app @ (app @ sk8 @ (cons @ sk6 @ sk9)) @
% 91.39/13.66 (cons @ sk7 @ (app @ nil @ sk10)))))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl2355, zip_derived_cl199, zip_derived_cl7,
% 91.39/13.66 zip_derived_cl196])).
% 91.39/13.66 thf(clause181, axiom,
% 91.39/13.66 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) ) != ( Z ) ) |
% 91.39/13.66 ( ~( ssList @ Y ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 91.39/13.66 ( ~( ssItem @ X ) ) | ( ~( ssItem @ V ) ) | ( ~( strictorderedP @ Z ) ) |
% 91.39/13.66 ( ~( ssList @ Z ) ) | ( lt @ V @ X ))).
% 91.39/13.66 thf(zip_derived_cl180, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 91.39/13.66 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X4 @ X5)) != (X0))
% 91.39/13.66 | ~ (ssList @ X5)
% 91.39/13.66 | ~ (ssList @ X3)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssItem @ X4)
% 91.39/13.66 | ~ (ssItem @ X2)
% 91.39/13.66 | ~ (strictorderedP @ X0)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | (lt @ X2 @ X4))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause181])).
% 91.39/13.66 thf(zip_derived_cl3601, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1) != (X0))
% 91.39/13.66 | ~ (ssList @ (app @ nil @ sk10))
% 91.39/13.66 | ~ (ssList @ sk9)
% 91.39/13.66 | ~ (ssList @ sk8)
% 91.39/13.66 | ~ (ssItem @ sk7)
% 91.39/13.66 | ~ (ssItem @ sk6)
% 91.39/13.66 | ~ (strictorderedP @ X0)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | (lt @ sk6 @ sk7))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl2357, zip_derived_cl180])).
% 91.39/13.66 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 91.39/13.66 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_1])).
% 91.39/13.66 thf(zip_derived_cl196, plain, ( (ssItem @ sk7)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.39/13.66 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.39/13.66 thf(zip_derived_cl3633, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1) != (X0))
% 91.39/13.66 | ~ (ssList @ (app @ nil @ sk10))
% 91.39/13.66 | ~ (strictorderedP @ X0)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | (lt @ sk6 @ sk7))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl3601, zip_derived_cl198, zip_derived_cl197,
% 91.39/13.66 zip_derived_cl196, zip_derived_cl195])).
% 91.39/13.66 thf(zip_derived_cl3992, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3917])).
% 91.39/13.66 thf(zip_derived_cl84, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause85])).
% 91.39/13.66 thf(zip_derived_cl84, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause85])).
% 91.39/13.66 thf(zip_derived_cl3992, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3917])).
% 91.39/13.66 thf(clause61, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ U ))).
% 91.39/13.66 thf(zip_derived_cl60, plain,
% 91.39/13.66 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ X0))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause61])).
% 91.39/13.66 thf(clause132, axiom,
% 91.39/13.66 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 91.39/13.66 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 91.39/13.66 thf(zip_derived_cl131, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (frontsegP @ X0 @ X1)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause132])).
% 91.39/13.66 thf(zip_derived_cl721, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl131])).
% 91.39/13.66 thf(zip_derived_cl725, plain,
% 91.39/13.66 (![X0 : $i]: (((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)) | ~ (ssList @ X0))),
% 91.39/13.66 inference('simplify', [status(thm)], [zip_derived_cl721])).
% 91.39/13.66 thf(zip_derived_cl200, plain,
% 91.39/13.66 (((app @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1))),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 91.39/13.66 thf(zip_derived_cl148, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X2)
% 91.39/13.66 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause149])).
% 91.39/13.66 thf(zip_derived_cl1406, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ sk10)
% 91.39/13.66 | ~ (ssList @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)))
% 91.39/13.66 | ((app @ sk1 @ X0)
% 91.39/13.66 = (app @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 (app @ sk10 @ X0))))),
% 91.39/13.66 inference('s_sup+', [status(thm)], [zip_derived_cl200, zip_derived_cl148])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(zip_derived_cl1421, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)))
% 91.39/13.66 | ((app @ sk1 @ X0)
% 91.39/13.66 = (app @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 (app @ sk10 @ X0))))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl1406, zip_derived_cl199])).
% 91.39/13.66 thf(zip_derived_cl12542, plain,
% 91.39/13.66 ((~ (ssList @ sk10)
% 91.39/13.66 | ~ (ssList @ (skaf45 @ sk10 @ sk10))
% 91.39/13.66 | ~ (ssList @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)))
% 91.39/13.66 | ((app @ sk1 @ (skaf45 @ sk10 @ sk10))
% 91.39/13.66 = (app @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10)))),
% 91.39/13.66 inference('s_sup+', [status(thm)],
% 91.39/13.66 [zip_derived_cl725, zip_derived_cl1421])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 91.39/13.66 thf(zip_derived_cl50, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause51])).
% 91.39/13.66 thf(zip_derived_cl200, plain,
% 91.39/13.66 (((app @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)) @
% 91.39/13.66 sk10) = (sk1))),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_0])).
% 91.39/13.66 thf(zip_derived_cl12549, plain,
% 91.39/13.66 ((~ (ssList @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)))
% 91.39/13.66 | ((app @ sk1 @ (skaf45 @ sk10 @ sk10)) = (sk1)))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl12542, zip_derived_cl199, zip_derived_cl50,
% 91.39/13.66 zip_derived_cl200])).
% 91.39/13.66 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 91.39/13.66 thf(zip_derived_cl72, plain,
% 91.39/13.66 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause73])).
% 91.39/13.66 thf(clause150, axiom,
% 91.39/13.66 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 91.39/13.66 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 91.39/13.66 thf(zip_derived_cl149, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.39/13.66 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 91.39/13.66 | ~ (ssList @ X2)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((X2) = (X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause150])).
% 91.39/13.66 thf(zip_derived_cl539, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ((X0) != (app @ X0 @ X1))
% 91.39/13.66 | ~ (ssList @ nil)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((nil) = (X1)))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl149])).
% 91.39/13.66 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.39/13.66 inference('cnf', [status(esa)], [clause8])).
% 91.39/13.66 thf(zip_derived_cl553, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ((X0) != (app @ X0 @ X1))
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((nil) = (X1)))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl539, zip_derived_cl7])).
% 91.39/13.66 thf(zip_derived_cl554, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (((nil) = (X1))
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ((X0) != (app @ X0 @ X1))
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('simplify', [status(thm)], [zip_derived_cl553])).
% 91.39/13.66 thf(zip_derived_cl12582, plain,
% 91.39/13.66 ((~ (ssList @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)))
% 91.39/13.66 | ((nil) = (skaf45 @ sk10 @ sk10))
% 91.39/13.66 | ~ (ssList @ (skaf45 @ sk10 @ sk10))
% 91.39/13.66 | ((sk1) != (sk1))
% 91.39/13.66 | ~ (ssList @ sk1))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl12549, zip_derived_cl554])).
% 91.39/13.66 thf(zip_derived_cl50, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause51])).
% 91.39/13.66 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_6])).
% 91.39/13.66 thf(zip_derived_cl12625, plain,
% 91.39/13.66 ((~ (ssList @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil)))
% 91.39/13.66 | ((nil) = (skaf45 @ sk10 @ sk10))
% 91.39/13.66 | ((sk1) != (sk1)))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl12582, zip_derived_cl50, zip_derived_cl185])).
% 91.39/13.66 thf(zip_derived_cl12626, plain,
% 91.39/13.66 ((((nil) = (skaf45 @ sk10 @ sk10))
% 91.39/13.66 | ~ (ssList @
% 91.39/13.66 (app @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9) @
% 91.39/13.66 (cons @ sk7 @ nil))))),
% 91.39/13.66 inference('simplify', [status(thm)], [zip_derived_cl12625])).
% 91.39/13.66 thf(zip_derived_cl84, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause85])).
% 91.39/13.66 thf(zip_derived_cl12824, plain,
% 91.39/13.66 ((((nil) = (skaf45 @ sk10 @ sk10))
% 91.39/13.66 | ~ (ssList @ (cons @ sk7 @ nil))
% 91.39/13.66 | ~ (ssList @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))),
% 91.39/13.66 inference('s_sup+', [status(thm)],
% 91.39/13.66 [zip_derived_cl12626, zip_derived_cl84])).
% 91.39/13.66 thf(zip_derived_cl18355, plain,
% 91.39/13.66 ((~ (ssList @ nil)
% 91.39/13.66 | ((nil) = (skaf45 @ sk10 @ sk10))
% 91.39/13.66 | ~ (ssList @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl3992, zip_derived_cl12824])).
% 91.39/13.66 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.39/13.66 inference('cnf', [status(esa)], [clause8])).
% 91.39/13.66 thf(zip_derived_cl18356, plain,
% 91.39/13.66 ((((nil) = (skaf45 @ sk10 @ sk10))
% 91.39/13.66 | ~ (ssList @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9)))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl18355, zip_derived_cl7])).
% 91.39/13.66 thf(zip_derived_cl725, plain,
% 91.39/13.66 (![X0 : $i]: (((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)) | ~ (ssList @ X0))),
% 91.39/13.66 inference('simplify', [status(thm)], [zip_derived_cl721])).
% 91.39/13.66 thf(zip_derived_cl18359, plain,
% 91.39/13.66 ((~ (ssList @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 91.39/13.66 | ((app @ sk10 @ nil) = (sk10))
% 91.39/13.66 | ~ (ssList @ sk10))),
% 91.39/13.66 inference('s_sup+', [status(thm)],
% 91.39/13.66 [zip_derived_cl18356, zip_derived_cl725])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(zip_derived_cl18368, plain,
% 91.39/13.66 ((~ (ssList @ (app @ (app @ sk8 @ (cons @ sk6 @ nil)) @ sk9))
% 91.39/13.66 | ((app @ sk10 @ nil) = (sk10)))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl18359, zip_derived_cl199])).
% 91.39/13.66 thf(zip_derived_cl18373, plain,
% 91.39/13.66 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 91.39/13.66 | ~ (ssList @ sk9)
% 91.39/13.66 | ((app @ sk10 @ nil) = (sk10)))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl84, zip_derived_cl18368])).
% 91.39/13.66 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 91.39/13.66 thf(zip_derived_cl18375, plain,
% 91.39/13.66 ((~ (ssList @ (app @ sk8 @ (cons @ sk6 @ nil)))
% 91.39/13.66 | ((app @ sk10 @ nil) = (sk10)))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl18373, zip_derived_cl198])).
% 91.39/13.66 thf(zip_derived_cl18379, plain,
% 91.39/13.66 ((~ (ssList @ sk8)
% 91.39/13.66 | ~ (ssList @ (cons @ sk6 @ nil))
% 91.39/13.66 | ((app @ sk10 @ nil) = (sk10)))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl84, zip_derived_cl18375])).
% 91.39/13.66 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_1])).
% 91.39/13.66 thf(zip_derived_cl18380, plain,
% 91.39/13.66 ((~ (ssList @ (cons @ sk6 @ nil)) | ((app @ sk10 @ nil) = (sk10)))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl18379, zip_derived_cl197])).
% 91.39/13.66 thf(zip_derived_cl18387, plain,
% 91.39/13.66 ((~ (ssList @ nil) | ((app @ sk10 @ nil) = (sk10)))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl3992, zip_derived_cl18380])).
% 91.39/13.66 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.39/13.66 inference('cnf', [status(esa)], [clause8])).
% 91.39/13.66 thf(zip_derived_cl18388, plain, (((app @ sk10 @ nil) = (sk10))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl18387, zip_derived_cl7])).
% 91.39/13.66 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 91.39/13.66 thf(zip_derived_cl73, plain,
% 91.39/13.66 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause74])).
% 91.39/13.66 thf(zip_derived_cl148, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X2)
% 91.39/13.66 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause149])).
% 91.39/13.66 thf(zip_derived_cl1400, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ nil)
% 91.39/13.66 | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 91.39/13.66 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl148])).
% 91.39/13.66 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.39/13.66 inference('cnf', [status(esa)], [clause8])).
% 91.39/13.66 thf(zip_derived_cl1414, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (ssList @ X0)
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X0)
% 91.39/13.66 | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl1400, zip_derived_cl7])).
% 91.39/13.66 thf(zip_derived_cl1415, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 91.39/13.66 | ~ (ssList @ X1)
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('simplify', [status(thm)], [zip_derived_cl1414])).
% 91.39/13.66 thf(zip_derived_cl18429, plain,
% 91.39/13.66 ((((sk10) = (app @ nil @ sk10)) | ~ (ssList @ nil) | ~ (ssList @ sk10))),
% 91.39/13.66 inference('s_sup+', [status(thm)],
% 91.39/13.66 [zip_derived_cl18388, zip_derived_cl1415])).
% 91.39/13.66 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.39/13.66 inference('cnf', [status(esa)], [clause8])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(zip_derived_cl18516, plain, (((sk10) = (app @ nil @ sk10))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl18429, zip_derived_cl7, zip_derived_cl199])).
% 91.39/13.66 thf(zip_derived_cl199, plain, ( (ssList @ sk10)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.39/13.66 thf(co1_17, conjecture, (~( leq @ sk7 @ sk6 ))).
% 91.39/13.66 thf(zf_stmt_7, negated_conjecture, (leq @ sk7 @ sk6),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_17])).
% 91.39/13.66 thf(zip_derived_cl201, plain, ( (leq @ sk7 @ sk6)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_7])).
% 91.39/13.66 thf(clause121, axiom,
% 91.39/13.66 (( ~( leq @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssItem @ U ) ) |
% 91.39/13.66 ( lt @ U @ V ) | ( ( U ) = ( V ) ))).
% 91.39/13.66 thf(zip_derived_cl120, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (leq @ X0 @ X1)
% 91.39/13.66 | ~ (ssItem @ X1)
% 91.39/13.66 | ~ (ssItem @ X0)
% 91.39/13.66 | (lt @ X0 @ X1)
% 91.39/13.66 | ((X0) = (X1)))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause121])).
% 91.39/13.66 thf(zip_derived_cl511, plain,
% 91.39/13.66 ((~ (ssItem @ sk6)
% 91.39/13.66 | ~ (ssItem @ sk7)
% 91.39/13.66 | (lt @ sk7 @ sk6)
% 91.39/13.66 | ((sk7) = (sk6)))),
% 91.39/13.66 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl120])).
% 91.39/13.66 thf(zip_derived_cl195, plain, ( (ssItem @ sk6)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.39/13.66 thf(zip_derived_cl196, plain, ( (ssItem @ sk7)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.39/13.66 thf(zip_derived_cl515, plain, (( (lt @ sk7 @ sk6) | ((sk7) = (sk6)))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl511, zip_derived_cl195, zip_derived_cl196])).
% 91.39/13.66 thf(clause114, axiom,
% 91.39/13.66 (( ~( lt @ U @ V ) ) | ( ~( lt @ V @ U ) ) | ( ~( ssItem @ U ) ) |
% 91.39/13.66 ( ~( ssItem @ V ) ))).
% 91.39/13.66 thf(zip_derived_cl113, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (~ (lt @ X0 @ X1)
% 91.39/13.66 | ~ (lt @ X1 @ X0)
% 91.39/13.66 | ~ (ssItem @ X0)
% 91.39/13.66 | ~ (ssItem @ X1))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause114])).
% 91.39/13.66 thf(zip_derived_cl3917, plain, (![X1 : $i]: (ssItem @ X1)),
% 91.39/13.66 inference('s_sup+', [status(thm)], [zip_derived_cl3916, zip_derived_cl12])).
% 91.39/13.66 thf(zip_derived_cl3917, plain, (![X1 : $i]: (ssItem @ X1)),
% 91.39/13.66 inference('s_sup+', [status(thm)], [zip_derived_cl3916, zip_derived_cl12])).
% 91.39/13.66 thf(zip_derived_cl4007, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]: (~ (lt @ X0 @ X1) | ~ (lt @ X1 @ X0))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl113, zip_derived_cl3917, zip_derived_cl3917])).
% 91.39/13.66 thf(zip_derived_cl4184, plain, ((((sk7) = (sk6)) | ~ (lt @ sk6 @ sk7))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl515, zip_derived_cl4007])).
% 91.39/13.66 thf(clause111, axiom,
% 91.39/13.66 (( ( U ) != ( V ) ) | ( ~( lt @ U @ V ) ) | ( ~( ssItem @ V ) ) |
% 91.39/13.66 ( ~( ssItem @ U ) ))).
% 91.39/13.66 thf(zip_derived_cl110, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]:
% 91.39/13.66 (((X1) != (X0)) | ~ (lt @ X1 @ X0) | ~ (ssItem @ X0) | ~ (ssItem @ X1))),
% 91.39/13.66 inference('cnf', [status(esa)], [clause111])).
% 91.39/13.66 thf(zip_derived_cl3917, plain, (![X1 : $i]: (ssItem @ X1)),
% 91.39/13.66 inference('s_sup+', [status(thm)], [zip_derived_cl3916, zip_derived_cl12])).
% 91.39/13.66 thf(zip_derived_cl3917, plain, (![X1 : $i]: (ssItem @ X1)),
% 91.39/13.66 inference('s_sup+', [status(thm)], [zip_derived_cl3916, zip_derived_cl12])).
% 91.39/13.66 thf(zip_derived_cl4004, plain,
% 91.39/13.66 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (lt @ X1 @ X0))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl110, zip_derived_cl3917, zip_derived_cl3917])).
% 91.39/13.66 thf(zip_derived_cl4186, plain, (~ (lt @ sk6 @ sk7)),
% 91.39/13.66 inference('clc', [status(thm)], [zip_derived_cl4184, zip_derived_cl4004])).
% 91.39/13.66 thf(zip_derived_cl86552, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ (app @ sk8 @ (cons @ sk6 @ sk9)))
% 91.39/13.66 | ((sk1) != (X0))
% 91.39/13.66 | ~ (strictorderedP @ X0)
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl3633, zip_derived_cl18516, zip_derived_cl199,
% 91.39/13.66 zip_derived_cl4186])).
% 91.39/13.66 thf(zip_derived_cl86553, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ sk8)
% 91.39/13.66 | ~ (ssList @ (cons @ sk6 @ sk9))
% 91.39/13.66 | ((sk1) != (X0))
% 91.39/13.66 | ~ (strictorderedP @ X0)
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl84, zip_derived_cl86552])).
% 91.39/13.66 thf(zip_derived_cl197, plain, ( (ssList @ sk8)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_1])).
% 91.39/13.66 thf(zip_derived_cl86554, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ (cons @ sk6 @ sk9))
% 91.39/13.66 | ((sk1) != (X0))
% 91.39/13.66 | ~ (strictorderedP @ X0)
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl86553, zip_derived_cl197])).
% 91.39/13.66 thf(zip_derived_cl86581, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (~ (ssList @ sk9)
% 91.39/13.66 | ((sk1) != (X0))
% 91.39/13.66 | ~ (strictorderedP @ X0)
% 91.39/13.66 | ~ (ssList @ X0))),
% 91.39/13.66 inference('s_sup-', [status(thm)],
% 91.39/13.66 [zip_derived_cl3992, zip_derived_cl86554])).
% 91.39/13.66 thf(zip_derived_cl198, plain, ( (ssList @ sk9)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_2])).
% 91.39/13.66 thf(zip_derived_cl86582, plain,
% 91.39/13.66 (![X0 : $i]:
% 91.39/13.66 (((sk1) != (X0)) | ~ (strictorderedP @ X0) | ~ (ssList @ X0))),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl86581, zip_derived_cl198])).
% 91.39/13.66 thf(zip_derived_cl86583, plain,
% 91.39/13.66 ((~ (ssList @ sk1) | ~ (strictorderedP @ sk1))),
% 91.39/13.66 inference('eq_res', [status(thm)], [zip_derived_cl86582])).
% 91.39/13.66 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_6])).
% 91.39/13.66 thf(co1_9, conjecture, (~( strictorderedP @ sk3 ))).
% 91.39/13.66 thf(zf_stmt_8, negated_conjecture, (strictorderedP @ sk3),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_9])).
% 91.39/13.66 thf(zip_derived_cl193, plain, ( (strictorderedP @ sk3)),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_8])).
% 91.39/13.66 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 91.39/13.66 thf(zf_stmt_9, negated_conjecture, (( sk1 ) = ( sk3 )),
% 91.39/13.66 inference('cnf.neg', [status(esa)], [co1_6])).
% 91.39/13.66 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 91.39/13.66 inference('cnf', [status(esa)], [zf_stmt_9])).
% 91.39/13.66 thf(zip_derived_cl210, plain, ( (strictorderedP @ sk1)),
% 91.39/13.66 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 91.39/13.66 thf(zip_derived_cl86584, plain, ($false),
% 91.39/13.66 inference('demod', [status(thm)],
% 91.39/13.66 [zip_derived_cl86583, zip_derived_cl185, zip_derived_cl210])).
% 91.39/13.66
% 91.39/13.66 % SZS output end Refutation
% 91.39/13.66
% 91.39/13.66
% 91.39/13.66 % Terminating...
% 91.39/13.70 % Runner terminated.
% 91.39/13.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------