TSTP Solution File: SWC161-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC161-1 : 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.Xsh2Liy6Nc true
% Computer : n009.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 21:29:35 EDT 2023
% Result : Unsatisfiable 80.97s 12.16s
% Output : Refutation 80.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC161-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Xsh2Liy6Nc true
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 18:20:20 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 80.97/12.16 % Solved by fo/fo13.sh.
% 80.97/12.16 % done 9130 iterations in 11.374s
% 80.97/12.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 80.97/12.16 % SZS output start Refutation
% 80.97/12.16 thf(nil_type, type, nil: $i).
% 80.97/12.16 thf(leq_type, type, leq: $i > $i > $o).
% 80.97/12.16 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 80.97/12.16 thf(cons_type, type, cons: $i > $i > $i).
% 80.97/12.16 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 80.97/12.16 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 80.97/12.16 thf(lt_type, type, lt: $i > $i > $o).
% 80.97/12.16 thf(sk7_type, type, sk7: $i).
% 80.97/12.16 thf(ssItem_type, type, ssItem: $i > $o).
% 80.97/12.16 thf(sk9_type, type, sk9: $i).
% 80.97/12.16 thf(skaf82_type, type, skaf82: $i > $i).
% 80.97/12.16 thf(strictorderedP_type, type, strictorderedP: $i > $o).
% 80.97/12.16 thf(sk3_type, type, sk3: $i).
% 80.97/12.16 thf(sk11_type, type, sk11: $i).
% 80.97/12.16 thf(sk8_type, type, sk8: $i).
% 80.97/12.16 thf(sk10_type, type, sk10: $i).
% 80.97/12.16 thf(app_type, type, app: $i > $i > $i).
% 80.97/12.16 thf(ssList_type, type, ssList: $i > $o).
% 80.97/12.16 thf(sk1_type, type, sk1: $i).
% 80.97/12.16 thf(clause86, axiom,
% 80.97/12.16 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 80.97/12.16 thf(zip_derived_cl85, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause86])).
% 80.97/12.16 thf(zip_derived_cl85, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause86])).
% 80.97/12.16 thf(clause85, axiom,
% 80.97/12.16 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 80.97/12.16 thf(zip_derived_cl84, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause85])).
% 80.97/12.16 thf(clause72, axiom,
% 80.97/12.16 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 80.97/12.16 thf(zip_derived_cl71, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause72])).
% 80.97/12.16 thf(zip_derived_cl85, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause86])).
% 80.97/12.16 thf(zip_derived_cl84, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause85])).
% 80.97/12.16 thf(clause120, axiom,
% 80.97/12.16 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 80.97/12.16 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 80.97/12.16 thf(zip_derived_cl119, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssItem @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause120])).
% 80.97/12.16 thf(zip_derived_cl85, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause86])).
% 80.97/12.16 thf(zip_derived_cl119, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssItem @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause120])).
% 80.97/12.16 thf(zip_derived_cl85, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause86])).
% 80.97/12.16 thf(clause149, axiom,
% 80.97/12.16 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 80.97/12.16 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 80.97/12.16 thf(zip_derived_cl148, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X2)
% 80.97/12.16 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause149])).
% 80.97/12.16 thf(co1_18, conjecture,
% 80.97/12.16 (( app @
% 80.97/12.16 ( app @
% 80.97/12.16 ( app @ ( app @ sk9 @ ( cons @ sk7 @ nil ) ) @ sk10 ) @
% 80.97/12.16 ( cons @ sk8 @ nil ) ) @
% 80.97/12.16 sk11 ) !=
% 80.97/12.16 ( sk1 ))).
% 80.97/12.16 thf(zf_stmt_0, negated_conjecture,
% 80.97/12.16 (( app @
% 80.97/12.16 ( app @
% 80.97/12.16 ( app @ ( app @ sk9 @ ( cons @ sk7 @ nil ) ) @ sk10 ) @
% 80.97/12.16 ( cons @ sk8 @ nil ) ) @
% 80.97/12.16 sk11 ) =
% 80.97/12.16 ( sk1 )),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_18])).
% 80.97/12.16 thf(zip_derived_cl202, plain,
% 80.97/12.16 (((app @
% 80.97/12.16 (app @ (app @ (app @ sk9 @ (cons @ sk7 @ nil)) @ sk10) @
% 80.97/12.16 (cons @ sk8 @ nil)) @
% 80.97/12.16 sk11) = (sk1))),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 80.97/12.16 thf(zip_derived_cl1444, plain,
% 80.97/12.16 ((~ (ssList @ sk9)
% 80.97/12.16 | ~ (ssList @ (cons @ sk7 @ nil))
% 80.97/12.16 | ~ (ssList @ sk10)
% 80.97/12.16 | ((app @
% 80.97/12.16 (app @ (app @ sk9 @ (app @ (cons @ sk7 @ nil) @ sk10)) @
% 80.97/12.16 (cons @ sk8 @ nil)) @
% 80.97/12.16 sk11) = (sk1)))),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl202])).
% 80.97/12.16 thf(co1_15, conjecture, (~( ssList @ sk9 ))).
% 80.97/12.16 thf(zf_stmt_1, negated_conjecture, (ssList @ sk9),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_15])).
% 80.97/12.16 thf(zip_derived_cl199, plain, ( (ssList @ sk9)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 80.97/12.16 thf(co1_16, conjecture, (~( ssList @ sk10 ))).
% 80.97/12.16 thf(zf_stmt_2, negated_conjecture, (ssList @ sk10),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_16])).
% 80.97/12.16 thf(zip_derived_cl200, plain, ( (ssList @ sk10)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 80.97/12.16 thf(zip_derived_cl1504, plain,
% 80.97/12.16 ((~ (ssList @ (cons @ sk7 @ nil))
% 80.97/12.16 | ((app @
% 80.97/12.16 (app @ (app @ sk9 @ (app @ (cons @ sk7 @ nil) @ sk10)) @
% 80.97/12.16 (cons @ sk8 @ nil)) @
% 80.97/12.16 sk11) = (sk1)))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl1444, zip_derived_cl199, zip_derived_cl200])).
% 80.97/12.16 thf(zip_derived_cl1542, plain,
% 80.97/12.16 ((~ (ssList @ nil)
% 80.97/12.16 | ~ (ssItem @ sk7)
% 80.97/12.16 | ((app @
% 80.97/12.16 (app @ (app @ sk9 @ (app @ (cons @ sk7 @ nil) @ sk10)) @
% 80.97/12.16 (cons @ sk8 @ nil)) @
% 80.97/12.16 sk11) = (sk1)))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1504])).
% 80.97/12.16 thf(clause8, axiom, (ssList @ nil)).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(co1_13, conjecture, (~( ssItem @ sk7 ))).
% 80.97/12.16 thf(zf_stmt_3, negated_conjecture, (ssItem @ sk7),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_13])).
% 80.97/12.16 thf(zip_derived_cl197, plain, ( (ssItem @ sk7)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_3])).
% 80.97/12.16 thf(zip_derived_cl1545, plain,
% 80.97/12.16 (((app @
% 80.97/12.16 (app @ (app @ sk9 @ (app @ (cons @ sk7 @ nil) @ sk10)) @
% 80.97/12.16 (cons @ sk8 @ nil)) @
% 80.97/12.16 sk11) = (sk1))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl1542, zip_derived_cl7, zip_derived_cl197])).
% 80.97/12.16 thf(zip_derived_cl1567, plain,
% 80.97/12.16 ((~ (ssList @ sk10)
% 80.97/12.16 | ~ (ssItem @ sk7)
% 80.97/12.16 | ((app @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)) @
% 80.97/12.16 sk11) = (sk1)))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl119, zip_derived_cl1545])).
% 80.97/12.16 thf(zip_derived_cl200, plain, ( (ssList @ sk10)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 80.97/12.16 thf(zip_derived_cl197, plain, ( (ssItem @ sk7)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_3])).
% 80.97/12.16 thf(zip_derived_cl1569, plain,
% 80.97/12.16 (((app @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)) @ sk11)
% 80.97/12.16 = (sk1))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl1567, zip_derived_cl200, zip_derived_cl197])).
% 80.97/12.16 thf(zip_derived_cl148, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X2)
% 80.97/12.16 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause149])).
% 80.97/12.16 thf(zip_derived_cl1633, plain,
% 80.97/12.16 ((~ (ssList @ sk11)
% 80.97/12.16 | ~ (ssList @ (cons @ sk8 @ nil))
% 80.97/12.16 | ~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @
% 80.97/12.16 (app @ (cons @ sk8 @ nil) @ sk11))))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl1569, zip_derived_cl148])).
% 80.97/12.16 thf(co1_17, conjecture, (~( ssList @ sk11 ))).
% 80.97/12.16 thf(zf_stmt_4, negated_conjecture, (ssList @ sk11),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_17])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(zip_derived_cl1653, plain,
% 80.97/12.16 ((~ (ssList @ (cons @ sk8 @ nil))
% 80.97/12.16 | ~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @
% 80.97/12.16 (app @ (cons @ sk8 @ nil) @ sk11))))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl1633, zip_derived_cl201])).
% 80.97/12.16 thf(zip_derived_cl2458, plain,
% 80.97/12.16 ((~ (ssList @ nil)
% 80.97/12.16 | ~ (ssItem @ sk8)
% 80.97/12.16 | ~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @
% 80.97/12.16 (app @ (cons @ sk8 @ nil) @ sk11))))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1653])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(co1_14, conjecture, (~( ssItem @ sk8 ))).
% 80.97/12.16 thf(zf_stmt_5, negated_conjecture, (ssItem @ sk8),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_14])).
% 80.97/12.16 thf(zip_derived_cl198, plain, ( (ssItem @ sk8)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 80.97/12.16 thf(zip_derived_cl2461, plain,
% 80.97/12.16 ((~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @
% 80.97/12.16 (app @ (cons @ sk8 @ nil) @ sk11))))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl2458, zip_derived_cl7, zip_derived_cl198])).
% 80.97/12.16 thf(zip_derived_cl2484, plain,
% 80.97/12.16 ((~ (ssList @ sk11)
% 80.97/12.16 | ~ (ssItem @ sk8)
% 80.97/12.16 | ~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ sk11))))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl119, zip_derived_cl2461])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(zip_derived_cl198, plain, ( (ssItem @ sk8)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 80.97/12.16 thf(zip_derived_cl2486, plain,
% 80.97/12.16 ((~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ sk11))))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl2484, zip_derived_cl201, zip_derived_cl198])).
% 80.97/12.16 thf(clause179, axiom,
% 80.97/12.16 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 80.97/12.16 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 80.97/12.16 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 80.97/12.16 thf(zip_derived_cl178, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 80.97/12.16 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 80.97/12.16 | ~ (ssList @ X4)
% 80.97/12.16 | ~ (ssList @ X3)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssItem @ X2)
% 80.97/12.16 | ~ (duplicatefreeP @ X0)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause179])).
% 80.97/12.16 thf(zip_derived_cl3187, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((app @ sk1 @ (cons @ sk8 @ X1)) != (X0))
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ sk11)
% 80.97/12.16 | ~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ~ (ssItem @ sk8)
% 80.97/12.16 | ~ (duplicatefreeP @ X0)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl2486, zip_derived_cl178])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(zip_derived_cl198, plain, ( (ssItem @ sk8)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 80.97/12.16 thf(zip_derived_cl3208, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((app @ sk1 @ (cons @ sk8 @ X1)) != (X0))
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ~ (duplicatefreeP @ X0)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl3187, zip_derived_cl201, zip_derived_cl198])).
% 80.97/12.16 thf(zip_derived_cl3209, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (duplicatefreeP @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((app @ sk1 @ (cons @ sk8 @ X1)) != (X0))
% 80.97/12.16 | ~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10))))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl3208])).
% 80.97/12.16 thf(zip_derived_cl3773, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ sk9)
% 80.97/12.16 | ~ (ssList @ (cons @ sk7 @ sk10))
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (duplicatefreeP @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((app @ sk1 @ (cons @ sk8 @ X1)) != (X0)))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl3209])).
% 80.97/12.16 thf(zip_derived_cl199, plain, ( (ssList @ sk9)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 80.97/12.16 thf(zip_derived_cl3774, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ (cons @ sk7 @ sk10))
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (duplicatefreeP @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((app @ sk1 @ (cons @ sk8 @ X1)) != (X0)))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl3773, zip_derived_cl199])).
% 80.97/12.16 thf(zip_derived_cl3931, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ sk10)
% 80.97/12.16 | ~ (ssItem @ sk7)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (duplicatefreeP @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((app @ sk1 @ (cons @ sk8 @ X1)) != (X0)))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3774])).
% 80.97/12.16 thf(zip_derived_cl200, plain, ( (ssList @ sk10)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 80.97/12.16 thf(zip_derived_cl197, plain, ( (ssItem @ sk7)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_3])).
% 80.97/12.16 thf(zip_derived_cl3932, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (duplicatefreeP @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((app @ sk1 @ (cons @ sk8 @ X1)) != (X0)))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl3931, zip_derived_cl200, zip_derived_cl197])).
% 80.97/12.16 thf(zip_derived_cl4039, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (duplicatefreeP @ (app @ sk1 @ (cons @ sk8 @ X0)))
% 80.97/12.16 | ~ (ssList @ (app @ sk1 @ (cons @ sk8 @ X0))))),
% 80.97/12.16 inference('eq_res', [status(thm)], [zip_derived_cl3932])).
% 80.97/12.16 thf(zip_derived_cl4064, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 ( (ssItem @ X1)
% 80.97/12.16 | ~ (ssList @ (app @ sk1 @ (cons @ sk8 @ X0)))
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ (app @ sk1 @ (cons @ sk8 @ X0))))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl4039])).
% 80.97/12.16 thf(zip_derived_cl4065, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ (app @ sk1 @ (cons @ sk8 @ X0)))
% 80.97/12.16 | (ssItem @ X1))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl4064])).
% 80.97/12.16 thf(zip_derived_cl4066, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ sk1)
% 80.97/12.16 | ~ (ssList @ (cons @ sk8 @ X0))
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | (ssItem @ X1))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4065])).
% 80.97/12.16 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 80.97/12.16 thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_1])).
% 80.97/12.16 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_6])).
% 80.97/12.16 thf(zip_derived_cl4067, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ (cons @ sk8 @ X0)) | ~ (ssList @ X0) | (ssItem @ X1))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl4066, zip_derived_cl185])).
% 80.97/12.16 thf(zip_derived_cl4068, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | ~ (ssItem @ sk8) | ~ (ssList @ X0) | (ssItem @ X1))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4067])).
% 80.97/12.16 thf(zip_derived_cl198, plain, ( (ssItem @ sk8)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 80.97/12.16 thf(zip_derived_cl4069, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | ~ (ssList @ X0) | (ssItem @ X1))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl4068, zip_derived_cl198])).
% 80.97/12.16 thf(zip_derived_cl4070, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]: ( (ssItem @ X1) | ~ (ssList @ X0))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl4069])).
% 80.97/12.16 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 80.97/12.16 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause13])).
% 80.97/12.16 thf(zip_derived_cl4071, plain, (![X1 : $i]: (ssItem @ X1)),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl4070, zip_derived_cl12])).
% 80.97/12.16 thf(zip_derived_cl4148, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4071])).
% 80.97/12.16 thf(zip_derived_cl84, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause85])).
% 80.97/12.16 thf(clause157, axiom,
% 80.97/12.16 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 80.97/12.16 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 80.97/12.16 thf(zip_derived_cl156, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (~ (ssItem @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X2)
% 80.97/12.16 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause157])).
% 80.97/12.16 thf(zip_derived_cl2461, plain,
% 80.97/12.16 ((~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @
% 80.97/12.16 (app @ (cons @ sk8 @ nil) @ sk11))))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl2458, zip_derived_cl7, zip_derived_cl198])).
% 80.97/12.16 thf(zip_derived_cl2483, plain,
% 80.97/12.16 ((~ (ssList @ sk11)
% 80.97/12.16 | ~ (ssList @ nil)
% 80.97/12.16 | ~ (ssItem @ sk8)
% 80.97/12.16 | ~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @
% 80.97/12.16 (cons @ sk8 @ (app @ nil @ sk11)))))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl156, zip_derived_cl2461])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(zip_derived_cl198, plain, ( (ssItem @ sk8)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 80.97/12.16 thf(zip_derived_cl2485, plain,
% 80.97/12.16 ((~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1)
% 80.97/12.16 = (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @
% 80.97/12.16 (cons @ sk8 @ (app @ nil @ sk11)))))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl2483, zip_derived_cl201, zip_derived_cl7,
% 80.97/12.16 zip_derived_cl198])).
% 80.97/12.16 thf(clause181, axiom,
% 80.97/12.16 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) ) != ( Z ) ) |
% 80.97/12.16 ( ~( ssList @ Y ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 80.97/12.16 ( ~( ssItem @ X ) ) | ( ~( ssItem @ V ) ) | ( ~( strictorderedP @ Z ) ) |
% 80.97/12.16 ( ~( ssList @ Z ) ) | ( lt @ V @ X ))).
% 80.97/12.16 thf(zip_derived_cl180, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 80.97/12.16 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X4 @ X5)) != (X0))
% 80.97/12.16 | ~ (ssList @ X5)
% 80.97/12.16 | ~ (ssList @ X3)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssItem @ X4)
% 80.97/12.16 | ~ (ssItem @ X2)
% 80.97/12.16 | ~ (strictorderedP @ X0)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | (lt @ X2 @ X4))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause181])).
% 80.97/12.16 thf(zip_derived_cl3308, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1) != (X0))
% 80.97/12.16 | ~ (ssList @ (app @ nil @ sk11))
% 80.97/12.16 | ~ (ssList @ sk10)
% 80.97/12.16 | ~ (ssList @ sk9)
% 80.97/12.16 | ~ (ssItem @ sk8)
% 80.97/12.16 | ~ (ssItem @ sk7)
% 80.97/12.16 | ~ (strictorderedP @ X0)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | (lt @ sk7 @ sk8))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl2485, zip_derived_cl180])).
% 80.97/12.16 thf(zip_derived_cl200, plain, ( (ssList @ sk10)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 80.97/12.16 thf(zip_derived_cl199, plain, ( (ssList @ sk9)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 80.97/12.16 thf(zip_derived_cl198, plain, ( (ssItem @ sk8)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 80.97/12.16 thf(zip_derived_cl197, plain, ( (ssItem @ sk7)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_3])).
% 80.97/12.16 thf(zip_derived_cl3340, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1) != (X0))
% 80.97/12.16 | ~ (ssList @ (app @ nil @ sk11))
% 80.97/12.16 | ~ (strictorderedP @ X0)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | (lt @ sk7 @ sk8))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl3308, zip_derived_cl200, zip_derived_cl199,
% 80.97/12.16 zip_derived_cl198, zip_derived_cl197])).
% 80.97/12.16 thf(zip_derived_cl4148, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4071])).
% 80.97/12.16 thf(zip_derived_cl84, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause85])).
% 80.97/12.16 thf(zip_derived_cl84, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause85])).
% 80.97/12.16 thf(clause61, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ U ))).
% 80.97/12.16 thf(zip_derived_cl60, plain,
% 80.97/12.16 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ X0))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause61])).
% 80.97/12.16 thf(clause132, axiom,
% 80.97/12.16 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 80.97/12.16 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 80.97/12.16 thf(zip_derived_cl131, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (frontsegP @ X0 @ X1)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause132])).
% 80.97/12.16 thf(zip_derived_cl772, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl131])).
% 80.97/12.16 thf(zip_derived_cl775, plain,
% 80.97/12.16 (![X0 : $i]: (((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)) | ~ (ssList @ X0))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl772])).
% 80.97/12.16 thf(zip_derived_cl1569, plain,
% 80.97/12.16 (((app @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)) @ sk11)
% 80.97/12.16 = (sk1))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl1567, zip_derived_cl200, zip_derived_cl197])).
% 80.97/12.16 thf(zip_derived_cl148, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X2)
% 80.97/12.16 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause149])).
% 80.97/12.16 thf(zip_derived_cl1631, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ sk11)
% 80.97/12.16 | ~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)))
% 80.97/12.16 | ((app @ sk1 @ X0)
% 80.97/12.16 = (app @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)) @
% 80.97/12.16 (app @ sk11 @ X0))))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl1569, zip_derived_cl148])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(zip_derived_cl1651, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)))
% 80.97/12.16 | ((app @ sk1 @ X0)
% 80.97/12.16 = (app @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)) @
% 80.97/12.16 (app @ sk11 @ X0))))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl1631, zip_derived_cl201])).
% 80.97/12.16 thf(zip_derived_cl22218, plain,
% 80.97/12.16 ((~ (ssList @ sk11)
% 80.97/12.16 | ~ (ssList @ (skaf45 @ sk11 @ sk11))
% 80.97/12.16 | ~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)))
% 80.97/12.16 | ((app @ sk1 @ (skaf45 @ sk11 @ sk11))
% 80.97/12.16 = (app @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)) @
% 80.97/12.16 sk11)))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl775, zip_derived_cl1651])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 80.97/12.16 thf(zip_derived_cl50, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause51])).
% 80.97/12.16 thf(zip_derived_cl1569, plain,
% 80.97/12.16 (((app @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)) @ sk11)
% 80.97/12.16 = (sk1))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl1567, zip_derived_cl200, zip_derived_cl197])).
% 80.97/12.16 thf(zip_derived_cl22222, plain,
% 80.97/12.16 ((~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)))
% 80.97/12.16 | ((app @ sk1 @ (skaf45 @ sk11 @ sk11)) = (sk1)))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl22218, zip_derived_cl201, zip_derived_cl50,
% 80.97/12.16 zip_derived_cl1569])).
% 80.97/12.16 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 80.97/12.16 thf(zip_derived_cl72, plain,
% 80.97/12.16 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause73])).
% 80.97/12.16 thf(clause150, axiom,
% 80.97/12.16 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 80.97/12.16 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 80.97/12.16 thf(zip_derived_cl149, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 80.97/12.16 | ~ (ssList @ X2)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((X2) = (X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause150])).
% 80.97/12.16 thf(zip_derived_cl472, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ((X0) != (app @ X0 @ X1))
% 80.97/12.16 | ~ (ssList @ nil)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((nil) = (X1)))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl149])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(zip_derived_cl486, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ((X0) != (app @ X0 @ X1))
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((nil) = (X1)))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl472, zip_derived_cl7])).
% 80.97/12.16 thf(zip_derived_cl487, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (((nil) = (X1))
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ((X0) != (app @ X0 @ X1))
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl486])).
% 80.97/12.16 thf(zip_derived_cl35106, plain,
% 80.97/12.16 ((~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)))
% 80.97/12.16 | ((nil) = (skaf45 @ sk11 @ sk11))
% 80.97/12.16 | ~ (ssList @ (skaf45 @ sk11 @ sk11))
% 80.97/12.16 | ((sk1) != (sk1))
% 80.97/12.16 | ~ (ssList @ sk1))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl22222, zip_derived_cl487])).
% 80.97/12.16 thf(zip_derived_cl50, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause51])).
% 80.97/12.16 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_6])).
% 80.97/12.16 thf(zip_derived_cl35186, plain,
% 80.97/12.16 ((~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)))
% 80.97/12.16 | ((nil) = (skaf45 @ sk11 @ sk11))
% 80.97/12.16 | ((sk1) != (sk1)))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl35106, zip_derived_cl50, zip_derived_cl185])).
% 80.97/12.16 thf(zip_derived_cl35187, plain,
% 80.97/12.16 ((((nil) = (skaf45 @ sk11 @ sk11))
% 80.97/12.16 | ~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil))))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl35186])).
% 80.97/12.16 thf(zip_derived_cl775, plain,
% 80.97/12.16 (![X0 : $i]: (((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)) | ~ (ssList @ X0))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl772])).
% 80.97/12.16 thf(zip_derived_cl35301, plain,
% 80.97/12.16 ((~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)))
% 80.97/12.16 | ((app @ sk11 @ nil) = (sk11))
% 80.97/12.16 | ~ (ssList @ sk11))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl35187, zip_derived_cl775])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(zip_derived_cl35314, plain,
% 80.97/12.16 ((~ (ssList @
% 80.97/12.16 (app @ (app @ sk9 @ (cons @ sk7 @ sk10)) @ (cons @ sk8 @ nil)))
% 80.97/12.16 | ((app @ sk11 @ nil) = (sk11)))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl35301, zip_derived_cl201])).
% 80.97/12.16 thf(zip_derived_cl35374, plain,
% 80.97/12.16 ((~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ~ (ssList @ (cons @ sk8 @ nil))
% 80.97/12.16 | ((app @ sk11 @ nil) = (sk11)))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl84, zip_derived_cl35314])).
% 80.97/12.16 thf(clause145, axiom,
% 80.97/12.16 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 80.97/12.16 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 80.97/12.16 thf(zip_derived_cl144, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (((nil) != (X0))
% 80.97/12.16 | ((nil) != (X1))
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ((app @ X0 @ X1) = (nil)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause145])).
% 80.97/12.16 thf(zip_derived_cl389, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (((app @ nil @ X0) = (nil))
% 80.97/12.16 | ~ (ssList @ nil)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ((nil) != (X0)))),
% 80.97/12.16 inference('eq_res', [status(thm)], [zip_derived_cl144])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(zip_derived_cl390, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (((app @ nil @ X0) = (nil)) | ~ (ssList @ X0) | ((nil) != (X0)))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl389, zip_derived_cl7])).
% 80.97/12.16 thf(zip_derived_cl424, plain,
% 80.97/12.16 ((~ (ssList @ nil) | ((app @ nil @ nil) = (nil)))),
% 80.97/12.16 inference('eq_res', [status(thm)], [zip_derived_cl390])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(zip_derived_cl425, plain, (((app @ nil @ nil) = (nil))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl424, zip_derived_cl7])).
% 80.97/12.16 thf(zip_derived_cl156, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (~ (ssItem @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X2)
% 80.97/12.16 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause157])).
% 80.97/12.16 thf(zip_derived_cl84, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause85])).
% 80.97/12.16 thf(zip_derived_cl1706, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssItem @ X2)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ (cons @ X2 @ X1))
% 80.97/12.16 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 80.97/12.16 thf(zip_derived_cl1743, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 80.97/12.16 | ~ (ssList @ (cons @ X2 @ X1))
% 80.97/12.16 | ~ (ssItem @ X2)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl1706])).
% 80.97/12.16 thf(zip_derived_cl4071, plain, (![X1 : $i]: (ssItem @ X1)),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl4070, zip_derived_cl12])).
% 80.97/12.16 thf(zip_derived_cl23607, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 80.97/12.16 | ~ (ssList @ (cons @ X2 @ X1))
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl1743, zip_derived_cl4071])).
% 80.97/12.16 thf(zip_derived_cl4148, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl4071])).
% 80.97/12.16 thf(zip_derived_cl23608, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 80.97/12.16 inference('clc', [status(thm)], [zip_derived_cl23607, zip_derived_cl4148])).
% 80.97/12.16 thf(zip_derived_cl23619, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ nil) | ~ (ssList @ nil) | (ssList @ (cons @ X0 @ nil)))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl425, zip_derived_cl23608])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(zip_derived_cl23720, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl23619, zip_derived_cl7, zip_derived_cl7])).
% 80.97/12.16 thf(zip_derived_cl35376, plain,
% 80.97/12.16 ((~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((app @ sk11 @ nil) = (sk11)))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl35374, zip_derived_cl23720])).
% 80.97/12.16 thf(zip_derived_cl35382, plain,
% 80.97/12.16 ((~ (ssList @ sk9)
% 80.97/12.16 | ~ (ssList @ (cons @ sk7 @ sk10))
% 80.97/12.16 | ((app @ sk11 @ nil) = (sk11)))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl84, zip_derived_cl35376])).
% 80.97/12.16 thf(zip_derived_cl199, plain, ( (ssList @ sk9)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 80.97/12.16 thf(zip_derived_cl35383, plain,
% 80.97/12.16 ((~ (ssList @ (cons @ sk7 @ sk10)) | ((app @ sk11 @ nil) = (sk11)))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl35382, zip_derived_cl199])).
% 80.97/12.16 thf(zip_derived_cl35389, plain,
% 80.97/12.16 ((~ (ssList @ sk10) | ((app @ sk11 @ nil) = (sk11)))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl4148, zip_derived_cl35383])).
% 80.97/12.16 thf(zip_derived_cl200, plain, ( (ssList @ sk10)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 80.97/12.16 thf(zip_derived_cl35390, plain, (((app @ sk11 @ nil) = (sk11))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl35389, zip_derived_cl200])).
% 80.97/12.16 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 80.97/12.16 thf(zip_derived_cl73, plain,
% 80.97/12.16 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause74])).
% 80.97/12.16 thf(zip_derived_cl148, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X2)
% 80.97/12.16 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause149])).
% 80.97/12.16 thf(zip_derived_cl1450, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ nil)
% 80.97/12.16 | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl148])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(zip_derived_cl1464, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (ssList @ X0)
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X0)
% 80.97/12.16 | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl1450, zip_derived_cl7])).
% 80.97/12.16 thf(zip_derived_cl1465, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 80.97/12.16 | ~ (ssList @ X1)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('simplify', [status(thm)], [zip_derived_cl1464])).
% 80.97/12.16 thf(zip_derived_cl35455, plain,
% 80.97/12.16 ((((sk11) = (app @ nil @ sk11)) | ~ (ssList @ nil) | ~ (ssList @ sk11))),
% 80.97/12.16 inference('s_sup+', [status(thm)],
% 80.97/12.16 [zip_derived_cl35390, zip_derived_cl1465])).
% 80.97/12.16 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 80.97/12.16 inference('cnf', [status(esa)], [clause8])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(zip_derived_cl35568, plain, (((sk11) = (app @ nil @ sk11))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl35455, zip_derived_cl7, zip_derived_cl201])).
% 80.97/12.16 thf(zip_derived_cl201, plain, ( (ssList @ sk11)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_4])).
% 80.97/12.16 thf(co1_19, conjecture, (~( leq @ sk8 @ sk7 ))).
% 80.97/12.16 thf(zf_stmt_7, negated_conjecture, (leq @ sk8 @ sk7),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_19])).
% 80.97/12.16 thf(zip_derived_cl203, plain, ( (leq @ sk8 @ sk7)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_7])).
% 80.97/12.16 thf(clause121, axiom,
% 80.97/12.16 (( ~( leq @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssItem @ U ) ) |
% 80.97/12.16 ( lt @ U @ V ) | ( ( U ) = ( V ) ))).
% 80.97/12.16 thf(zip_derived_cl120, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (leq @ X0 @ X1)
% 80.97/12.16 | ~ (ssItem @ X1)
% 80.97/12.16 | ~ (ssItem @ X0)
% 80.97/12.16 | (lt @ X0 @ X1)
% 80.97/12.16 | ((X0) = (X1)))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause121])).
% 80.97/12.16 thf(zip_derived_cl555, plain,
% 80.97/12.16 ((~ (ssItem @ sk7)
% 80.97/12.16 | ~ (ssItem @ sk8)
% 80.97/12.16 | (lt @ sk8 @ sk7)
% 80.97/12.16 | ((sk8) = (sk7)))),
% 80.97/12.16 inference('s_sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl120])).
% 80.97/12.16 thf(zip_derived_cl197, plain, ( (ssItem @ sk7)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_3])).
% 80.97/12.16 thf(zip_derived_cl198, plain, ( (ssItem @ sk8)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_5])).
% 80.97/12.16 thf(zip_derived_cl559, plain, (( (lt @ sk8 @ sk7) | ((sk8) = (sk7)))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl555, zip_derived_cl197, zip_derived_cl198])).
% 80.97/12.16 thf(clause114, axiom,
% 80.97/12.16 (( ~( lt @ U @ V ) ) | ( ~( lt @ V @ U ) ) | ( ~( ssItem @ U ) ) |
% 80.97/12.16 ( ~( ssItem @ V ) ))).
% 80.97/12.16 thf(zip_derived_cl113, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (~ (lt @ X0 @ X1)
% 80.97/12.16 | ~ (lt @ X1 @ X0)
% 80.97/12.16 | ~ (ssItem @ X0)
% 80.97/12.16 | ~ (ssItem @ X1))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause114])).
% 80.97/12.16 thf(zip_derived_cl4071, plain, (![X1 : $i]: (ssItem @ X1)),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl4070, zip_derived_cl12])).
% 80.97/12.16 thf(zip_derived_cl4071, plain, (![X1 : $i]: (ssItem @ X1)),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl4070, zip_derived_cl12])).
% 80.97/12.16 thf(zip_derived_cl4163, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]: (~ (lt @ X0 @ X1) | ~ (lt @ X1 @ X0))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl113, zip_derived_cl4071, zip_derived_cl4071])).
% 80.97/12.16 thf(zip_derived_cl4258, plain, ((((sk8) = (sk7)) | ~ (lt @ sk7 @ sk8))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl559, zip_derived_cl4163])).
% 80.97/12.16 thf(clause111, axiom,
% 80.97/12.16 (( ( U ) != ( V ) ) | ( ~( lt @ U @ V ) ) | ( ~( ssItem @ V ) ) |
% 80.97/12.16 ( ~( ssItem @ U ) ))).
% 80.97/12.16 thf(zip_derived_cl110, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]:
% 80.97/12.16 (((X1) != (X0)) | ~ (lt @ X1 @ X0) | ~ (ssItem @ X0) | ~ (ssItem @ X1))),
% 80.97/12.16 inference('cnf', [status(esa)], [clause111])).
% 80.97/12.16 thf(zip_derived_cl4071, plain, (![X1 : $i]: (ssItem @ X1)),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl4070, zip_derived_cl12])).
% 80.97/12.16 thf(zip_derived_cl4071, plain, (![X1 : $i]: (ssItem @ X1)),
% 80.97/12.16 inference('s_sup+', [status(thm)], [zip_derived_cl4070, zip_derived_cl12])).
% 80.97/12.16 thf(zip_derived_cl4160, plain,
% 80.97/12.16 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | ~ (lt @ X1 @ X0))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl110, zip_derived_cl4071, zip_derived_cl4071])).
% 80.97/12.16 thf(zip_derived_cl4260, plain, (~ (lt @ sk7 @ sk8)),
% 80.97/12.16 inference('clc', [status(thm)], [zip_derived_cl4258, zip_derived_cl4160])).
% 80.97/12.16 thf(zip_derived_cl76068, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ (app @ sk9 @ (cons @ sk7 @ sk10)))
% 80.97/12.16 | ((sk1) != (X0))
% 80.97/12.16 | ~ (strictorderedP @ X0)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl3340, zip_derived_cl35568, zip_derived_cl201,
% 80.97/12.16 zip_derived_cl4260])).
% 80.97/12.16 thf(zip_derived_cl76069, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ sk9)
% 80.97/12.16 | ~ (ssList @ (cons @ sk7 @ sk10))
% 80.97/12.16 | ((sk1) != (X0))
% 80.97/12.16 | ~ (strictorderedP @ X0)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl84, zip_derived_cl76068])).
% 80.97/12.16 thf(zip_derived_cl199, plain, ( (ssList @ sk9)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_1])).
% 80.97/12.16 thf(zip_derived_cl76070, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ (cons @ sk7 @ sk10))
% 80.97/12.16 | ((sk1) != (X0))
% 80.97/12.16 | ~ (strictorderedP @ X0)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl76069, zip_derived_cl199])).
% 80.97/12.16 thf(zip_derived_cl76110, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (~ (ssList @ sk10)
% 80.97/12.16 | ((sk1) != (X0))
% 80.97/12.16 | ~ (strictorderedP @ X0)
% 80.97/12.16 | ~ (ssList @ X0))),
% 80.97/12.16 inference('s_sup-', [status(thm)],
% 80.97/12.16 [zip_derived_cl4148, zip_derived_cl76070])).
% 80.97/12.16 thf(zip_derived_cl200, plain, ( (ssList @ sk10)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_2])).
% 80.97/12.16 thf(zip_derived_cl76111, plain,
% 80.97/12.16 (![X0 : $i]:
% 80.97/12.16 (((sk1) != (X0)) | ~ (strictorderedP @ X0) | ~ (ssList @ X0))),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl76110, zip_derived_cl200])).
% 80.97/12.16 thf(zip_derived_cl76112, plain,
% 80.97/12.16 ((~ (ssList @ sk1) | ~ (strictorderedP @ sk1))),
% 80.97/12.16 inference('eq_res', [status(thm)], [zip_derived_cl76111])).
% 80.97/12.16 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_6])).
% 80.97/12.16 thf(co1_10, conjecture, (~( strictorderedP @ sk3 ))).
% 80.97/12.16 thf(zf_stmt_8, negated_conjecture, (strictorderedP @ sk3),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_10])).
% 80.97/12.16 thf(zip_derived_cl194, plain, ( (strictorderedP @ sk3)),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_8])).
% 80.97/12.16 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 80.97/12.16 thf(zf_stmt_9, negated_conjecture, (( sk1 ) = ( sk3 )),
% 80.97/12.16 inference('cnf.neg', [status(esa)], [co1_6])).
% 80.97/12.16 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 80.97/12.16 inference('cnf', [status(esa)], [zf_stmt_9])).
% 80.97/12.16 thf(zip_derived_cl212, plain, ( (strictorderedP @ sk1)),
% 80.97/12.16 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl190])).
% 80.97/12.16 thf(zip_derived_cl76113, plain, ($false),
% 80.97/12.16 inference('demod', [status(thm)],
% 80.97/12.16 [zip_derived_cl76112, zip_derived_cl185, zip_derived_cl212])).
% 80.97/12.16
% 80.97/12.16 % SZS output end Refutation
% 80.97/12.16
% 80.97/12.16
% 80.97/12.16 % Terminating...
% 81.67/12.28 % Runner terminated.
% 81.67/12.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------