TSTP Solution File: SWC162-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC162-1 : 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.vPWO1t8KZu true
% Computer : n026.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 10.08s 2.31s
% Output : Refutation 10.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC162-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vPWO1t8KZu true
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 16:08:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 10.08/2.31 % Solved by fo/fo6_bce.sh.
% 10.08/2.31 % BCE start: 203
% 10.08/2.31 % BCE eliminated: 2
% 10.08/2.31 % PE start: 201
% 10.08/2.31 logic: eq
% 10.08/2.31 % PE eliminated: 6
% 10.08/2.31 % done 826 iterations in 1.543s
% 10.08/2.31 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.08/2.31 % SZS output start Refutation
% 10.08/2.31 thf(nil_type, type, nil: $i).
% 10.08/2.31 thf(leq_type, type, leq: $i > $i > $o).
% 10.08/2.31 thf(cons_type, type, cons: $i > $i > $i).
% 10.08/2.31 thf(sk9_type, type, sk9: $i).
% 10.08/2.31 thf(sk2_type, type, sk2: $i).
% 10.08/2.31 thf(sk8_type, type, sk8: $i).
% 10.08/2.31 thf(sk6_type, type, sk6: $i).
% 10.08/2.31 thf(sk4_type, type, sk4: $i).
% 10.08/2.31 thf(lt_type, type, lt: $i > $i > $o).
% 10.08/2.31 thf(ssItem_type, type, ssItem: $i > $o).
% 10.08/2.31 thf(skaf44_type, type, skaf44: $i > $i).
% 10.08/2.31 thf(strictorderedP_type, type, strictorderedP: $i > $o).
% 10.08/2.31 thf(sk5_type, type, sk5: $i).
% 10.08/2.31 thf(sk3_type, type, sk3: $i).
% 10.08/2.31 thf(neq_type, type, neq: $i > $i > $o).
% 10.08/2.31 thf(app_type, type, app: $i > $i > $i).
% 10.08/2.31 thf(ssList_type, type, ssList: $i > $o).
% 10.08/2.31 thf(sk7_type, type, sk7: $i).
% 10.08/2.31 thf(sk1_type, type, sk1: $i).
% 10.08/2.31 thf(singletonP_type, type, singletonP: $i > $o).
% 10.08/2.31 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 10.08/2.31 thf(clause85, axiom,
% 10.08/2.31 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 10.08/2.31 thf(zip_derived_cl84, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause85])).
% 10.08/2.31 thf(clause157, axiom,
% 10.08/2.31 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 10.08/2.31 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 10.08/2.31 thf(zip_derived_cl156, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.08/2.31 (~ (ssItem @ X0)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ~ (ssList @ X2)
% 10.08/2.31 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause157])).
% 10.08/2.31 thf(clause86, axiom,
% 10.08/2.31 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 10.08/2.31 thf(zip_derived_cl85, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause86])).
% 10.08/2.31 thf(clause149, axiom,
% 10.08/2.31 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 10.08/2.31 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 10.08/2.31 thf(zip_derived_cl148, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.08/2.31 (~ (ssList @ X0)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ~ (ssList @ X2)
% 10.08/2.31 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause149])).
% 10.08/2.31 thf(clause120, axiom,
% 10.08/2.31 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 10.08/2.31 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 10.08/2.31 thf(zip_derived_cl119, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssItem @ X0)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause120])).
% 10.08/2.31 thf(zip_derived_cl85, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause86])).
% 10.08/2.31 thf(zip_derived_cl84, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause85])).
% 10.08/2.31 thf(zip_derived_cl84, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause85])).
% 10.08/2.31 thf(zip_derived_cl85, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause86])).
% 10.08/2.31 thf(co1_13, conjecture,
% 10.08/2.31 (( app @
% 10.08/2.31 ( app @
% 10.08/2.31 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 10.08/2.31 ( cons @ sk6 @ nil ) ) @
% 10.08/2.31 sk9 ) !=
% 10.08/2.31 ( sk1 ))).
% 10.08/2.31 thf(zf_stmt_0, negated_conjecture,
% 10.08/2.31 (( app @
% 10.08/2.31 ( app @
% 10.08/2.31 ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @
% 10.08/2.31 ( cons @ sk6 @ nil ) ) @
% 10.08/2.31 sk9 ) =
% 10.08/2.31 ( sk1 )),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_13])).
% 10.08/2.31 thf(zip_derived_cl197, plain,
% 10.08/2.31 (((app @
% 10.08/2.31 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (cons @ sk6 @ nil)) @
% 10.08/2.31 sk9) = (sk1))),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 10.08/2.31 thf(zip_derived_cl148, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.08/2.31 (~ (ssList @ X0)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ~ (ssList @ X2)
% 10.08/2.31 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause149])).
% 10.08/2.31 thf(zip_derived_cl2245, plain,
% 10.08/2.31 ((~ (ssList @ sk9)
% 10.08/2.31 | ~ (ssList @ (cons @ sk6 @ nil))
% 10.08/2.31 | ~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8))
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('s_sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl148])).
% 10.08/2.31 thf(co1_12, conjecture, (~( ssList @ sk9 ))).
% 10.08/2.31 thf(zf_stmt_1, negated_conjecture, (ssList @ sk9),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_12])).
% 10.08/2.31 thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.08/2.31 thf(zip_derived_cl2258, plain,
% 10.08/2.31 ((~ (ssList @ (cons @ sk6 @ nil))
% 10.08/2.31 | ~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8))
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('demod', [status(thm)], [zip_derived_cl2245, zip_derived_cl196])).
% 10.08/2.31 thf(zip_derived_cl6719, plain,
% 10.08/2.31 ((~ (ssList @ nil)
% 10.08/2.31 | ~ (ssItem @ sk6)
% 10.08/2.31 | ~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8))
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2258])).
% 10.08/2.31 thf(clause8, axiom, (ssList @ nil)).
% 10.08/2.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.08/2.31 inference('cnf', [status(esa)], [clause8])).
% 10.08/2.31 thf(co1_9, conjecture, (~( ssItem @ sk6 ))).
% 10.08/2.31 thf(zf_stmt_2, negated_conjecture, (ssItem @ sk6),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_9])).
% 10.08/2.31 thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.08/2.31 thf(zip_derived_cl6720, plain,
% 10.08/2.31 ((~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8))
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl6719, zip_derived_cl7, zip_derived_cl193])).
% 10.08/2.31 thf(zip_derived_cl6823, plain,
% 10.08/2.31 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 10.08/2.31 | ~ (ssList @ sk8)
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6720])).
% 10.08/2.31 thf(co1_11, conjecture, (~( ssList @ sk8 ))).
% 10.08/2.31 thf(zf_stmt_3, negated_conjecture, (ssList @ sk8),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_11])).
% 10.08/2.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.08/2.31 thf(zip_derived_cl6827, plain,
% 10.08/2.31 ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('demod', [status(thm)], [zip_derived_cl6823, zip_derived_cl195])).
% 10.08/2.31 thf(zip_derived_cl6831, plain,
% 10.08/2.31 ((~ (ssList @ sk7)
% 10.08/2.31 | ~ (ssList @ (cons @ sk5 @ nil))
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6827])).
% 10.08/2.31 thf(co1_10, conjecture, (~( ssList @ sk7 ))).
% 10.08/2.31 thf(zf_stmt_4, negated_conjecture, (ssList @ sk7),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_10])).
% 10.08/2.31 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.08/2.31 thf(zip_derived_cl6833, plain,
% 10.08/2.31 ((~ (ssList @ (cons @ sk5 @ nil))
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('demod', [status(thm)], [zip_derived_cl6831, zip_derived_cl194])).
% 10.08/2.31 thf(zip_derived_cl6887, plain,
% 10.08/2.31 ((~ (ssList @ nil)
% 10.08/2.31 | ~ (ssItem @ sk5)
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9))))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl6833])).
% 10.08/2.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.08/2.31 inference('cnf', [status(esa)], [clause8])).
% 10.08/2.31 thf(co1_8, conjecture, (~( ssItem @ sk5 ))).
% 10.08/2.31 thf(zf_stmt_5, negated_conjecture, (ssItem @ sk5),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_8])).
% 10.08/2.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.08/2.31 thf(zip_derived_cl6888, plain,
% 10.08/2.31 (((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (app @ (cons @ sk6 @ nil) @ sk9)))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl6887, zip_derived_cl7, zip_derived_cl192])).
% 10.08/2.31 thf(zip_derived_cl6923, plain,
% 10.08/2.31 ((~ (ssList @ sk9)
% 10.08/2.31 | ~ (ssItem @ sk6)
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (cons @ sk6 @ sk9))))),
% 10.08/2.31 inference('s_sup+', [status(thm)],
% 10.08/2.31 [zip_derived_cl119, zip_derived_cl6888])).
% 10.08/2.31 thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.08/2.31 thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.08/2.31 thf(zip_derived_cl6929, plain,
% 10.08/2.31 (((sk1)
% 10.08/2.31 = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @
% 10.08/2.31 (cons @ sk6 @ sk9)))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl6923, zip_derived_cl196, zip_derived_cl193])).
% 10.08/2.31 thf(zip_derived_cl6988, plain,
% 10.08/2.31 ((~ (ssList @ sk7)
% 10.08/2.31 | ~ (ssList @ (cons @ sk5 @ nil))
% 10.08/2.31 | ~ (ssList @ sk8)
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 10.08/2.31 (cons @ sk6 @ sk9))))),
% 10.08/2.31 inference('s_sup+', [status(thm)],
% 10.08/2.31 [zip_derived_cl148, zip_derived_cl6929])).
% 10.08/2.31 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.08/2.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.08/2.31 thf(zip_derived_cl6991, plain,
% 10.08/2.31 ((~ (ssList @ (cons @ sk5 @ nil))
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 10.08/2.31 (cons @ sk6 @ sk9))))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl6988, zip_derived_cl194, zip_derived_cl195])).
% 10.08/2.31 thf(zip_derived_cl7302, plain,
% 10.08/2.31 ((~ (ssList @ nil)
% 10.08/2.31 | ~ (ssItem @ sk5)
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 10.08/2.31 (cons @ sk6 @ sk9))))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl6991])).
% 10.08/2.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.08/2.31 inference('cnf', [status(esa)], [clause8])).
% 10.08/2.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.08/2.31 thf(zip_derived_cl7303, plain,
% 10.08/2.31 (((sk1)
% 10.08/2.31 = (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @
% 10.08/2.31 (cons @ sk6 @ sk9)))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl7302, zip_derived_cl7, zip_derived_cl192])).
% 10.08/2.31 thf(zip_derived_cl7357, plain,
% 10.08/2.31 ((~ (ssList @ sk8)
% 10.08/2.31 | ~ (ssList @ nil)
% 10.08/2.31 | ~ (ssItem @ sk5)
% 10.08/2.31 | ((sk1)
% 10.08/2.31 = (app @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @
% 10.08/2.31 (cons @ sk6 @ sk9))))),
% 10.08/2.31 inference('s_sup+', [status(thm)],
% 10.08/2.31 [zip_derived_cl156, zip_derived_cl7303])).
% 10.08/2.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.08/2.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.08/2.31 inference('cnf', [status(esa)], [clause8])).
% 10.08/2.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.08/2.31 thf(zip_derived_cl7361, plain,
% 10.08/2.31 (((sk1)
% 10.08/2.31 = (app @ (app @ sk7 @ (cons @ sk5 @ (app @ nil @ sk8))) @
% 10.08/2.31 (cons @ sk6 @ sk9)))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl7357, zip_derived_cl195, zip_derived_cl7,
% 10.08/2.31 zip_derived_cl192])).
% 10.08/2.31 thf(clause181, axiom,
% 10.08/2.31 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) ) != ( Z ) ) |
% 10.08/2.31 ( ~( ssList @ Y ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 10.08/2.31 ( ~( ssItem @ X ) ) | ( ~( ssItem @ V ) ) | ( ~( strictorderedP @ Z ) ) |
% 10.08/2.31 ( ~( ssList @ Z ) ) | ( lt @ V @ X ))).
% 10.08/2.31 thf(zip_derived_cl180, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 10.08/2.31 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X4 @ X5)) != (X0))
% 10.08/2.31 | ~ (ssList @ X5)
% 10.08/2.31 | ~ (ssList @ X3)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ~ (ssItem @ X4)
% 10.08/2.31 | ~ (ssItem @ X2)
% 10.08/2.31 | ~ (strictorderedP @ X0)
% 10.08/2.31 | ~ (ssList @ X0)
% 10.08/2.31 | (lt @ X2 @ X4))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause181])).
% 10.08/2.31 thf(zip_derived_cl7492, plain,
% 10.08/2.31 (![X0 : $i]:
% 10.08/2.31 (((sk1) != (X0))
% 10.08/2.31 | ~ (ssList @ sk9)
% 10.08/2.31 | ~ (ssList @ (app @ nil @ sk8))
% 10.08/2.31 | ~ (ssList @ sk7)
% 10.08/2.31 | ~ (ssItem @ sk6)
% 10.08/2.31 | ~ (ssItem @ sk5)
% 10.08/2.31 | ~ (strictorderedP @ X0)
% 10.08/2.31 | ~ (ssList @ X0)
% 10.08/2.31 | (lt @ sk5 @ sk6))),
% 10.08/2.31 inference('s_sup-', [status(thm)],
% 10.08/2.31 [zip_derived_cl7361, zip_derived_cl180])).
% 10.08/2.31 thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_1])).
% 10.08/2.31 thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.08/2.31 thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.08/2.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.08/2.31 thf(co1_14, conjecture, (~( leq @ sk6 @ sk5 ))).
% 10.08/2.31 thf(zf_stmt_6, negated_conjecture, (leq @ sk6 @ sk5),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_14])).
% 10.08/2.31 thf(zip_derived_cl198, plain, ( (leq @ sk6 @ sk5)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.08/2.31 thf(clause147, axiom,
% 10.08/2.31 (( ~( leq @ U @ V ) ) | ( ~( lt @ V @ W ) ) | ( ~( ssItem @ W ) ) |
% 10.08/2.31 ( ~( ssItem @ V ) ) | ( ~( ssItem @ U ) ) | ( lt @ U @ W ))).
% 10.08/2.31 thf(zip_derived_cl146, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.08/2.31 (~ (leq @ X0 @ X1)
% 10.08/2.31 | ~ (lt @ X1 @ X2)
% 10.08/2.31 | ~ (ssItem @ X2)
% 10.08/2.31 | ~ (ssItem @ X1)
% 10.08/2.31 | ~ (ssItem @ X0)
% 10.08/2.31 | (lt @ X0 @ X2))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause147])).
% 10.08/2.31 thf(zip_derived_cl2040, plain,
% 10.08/2.31 (![X0 : $i]:
% 10.08/2.31 (~ (lt @ sk5 @ X0)
% 10.08/2.31 | ~ (ssItem @ X0)
% 10.08/2.31 | ~ (ssItem @ sk5)
% 10.08/2.31 | ~ (ssItem @ sk6)
% 10.08/2.31 | (lt @ sk6 @ X0))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl198, zip_derived_cl146])).
% 10.08/2.31 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_5])).
% 10.08/2.31 thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.08/2.31 thf(zip_derived_cl2043, plain,
% 10.08/2.31 (![X0 : $i]: (~ (lt @ sk5 @ X0) | ~ (ssItem @ X0) | (lt @ sk6 @ X0))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl2040, zip_derived_cl192, zip_derived_cl193])).
% 10.08/2.31 thf(clause63, axiom, (( ~( lt @ U @ U ) ) | ( ~( ssItem @ U ) ))).
% 10.08/2.31 thf(zip_derived_cl62, plain,
% 10.08/2.31 (![X0 : $i]: (~ (lt @ X0 @ X0) | ~ (ssItem @ X0))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause63])).
% 10.08/2.31 thf(zip_derived_cl6446, plain,
% 10.08/2.31 ((~ (ssItem @ sk6) | ~ (lt @ sk5 @ sk6) | ~ (ssItem @ sk6))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl2043, zip_derived_cl62])).
% 10.08/2.31 thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.08/2.31 thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_2])).
% 10.08/2.31 thf(zip_derived_cl6451, plain, (~ (lt @ sk5 @ sk6)),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl6446, zip_derived_cl193, zip_derived_cl193])).
% 10.08/2.31 thf(zip_derived_cl7531, plain,
% 10.08/2.31 (![X0 : $i]:
% 10.08/2.31 (((sk1) != (X0))
% 10.08/2.31 | ~ (ssList @ (app @ nil @ sk8))
% 10.08/2.31 | ~ (strictorderedP @ X0)
% 10.08/2.31 | ~ (ssList @ X0))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl7492, zip_derived_cl196, zip_derived_cl194,
% 10.08/2.31 zip_derived_cl193, zip_derived_cl192, zip_derived_cl6451])).
% 10.08/2.31 thf(zip_derived_cl8192, plain,
% 10.08/2.31 (![X0 : $i]:
% 10.08/2.31 (~ (ssList @ nil)
% 10.08/2.31 | ~ (ssList @ sk8)
% 10.08/2.31 | ((sk1) != (X0))
% 10.08/2.31 | ~ (strictorderedP @ X0)
% 10.08/2.31 | ~ (ssList @ X0))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl7531])).
% 10.08/2.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.08/2.31 inference('cnf', [status(esa)], [clause8])).
% 10.08/2.31 thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.08/2.31 thf(zip_derived_cl8195, plain,
% 10.08/2.31 (![X0 : $i]:
% 10.08/2.31 (((sk1) != (X0)) | ~ (strictorderedP @ X0) | ~ (ssList @ X0))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl8192, zip_derived_cl7, zip_derived_cl195])).
% 10.08/2.31 thf(zip_derived_cl8269, plain,
% 10.08/2.31 ((~ (ssList @ sk1) | ~ (strictorderedP @ sk1))),
% 10.08/2.31 inference('eq_res', [status(thm)], [zip_derived_cl8195])).
% 10.08/2.31 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 10.08/2.31 thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_1])).
% 10.08/2.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_7])).
% 10.08/2.31 thf(zip_derived_cl8270, plain, (~ (strictorderedP @ sk1)),
% 10.08/2.31 inference('demod', [status(thm)], [zip_derived_cl8269, zip_derived_cl185])).
% 10.08/2.31 thf(clause79, axiom,
% 10.08/2.31 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( segmentP @ nil @ U ))).
% 10.08/2.31 thf(zip_derived_cl78, plain,
% 10.08/2.31 (![X0 : $i]: (((nil) != (X0)) | ~ (ssList @ X0) | (segmentP @ nil @ X0))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause79])).
% 10.08/2.31 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 10.08/2.31 thf(zip_derived_cl55, plain,
% 10.08/2.31 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause56])).
% 10.08/2.31 thf(clause152, axiom,
% 10.08/2.31 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 10.08/2.31 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 10.08/2.31 ( segmentP @ U @ W ))).
% 10.08/2.31 thf(zip_derived_cl151, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.08/2.31 (~ (segmentP @ X0 @ X1)
% 10.08/2.31 | ~ (segmentP @ X1 @ X2)
% 10.08/2.31 | ~ (ssList @ X2)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ~ (ssList @ X0)
% 10.08/2.31 | (segmentP @ X0 @ X2))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause152])).
% 10.08/2.31 thf(zip_derived_cl2199, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssList @ X0)
% 10.08/2.31 | ~ (segmentP @ nil @ X1)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ~ (ssList @ nil)
% 10.08/2.31 | ~ (ssList @ X0)
% 10.08/2.31 | (segmentP @ X0 @ X1))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl151])).
% 10.08/2.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.08/2.31 inference('cnf', [status(esa)], [clause8])).
% 10.08/2.31 thf(zip_derived_cl2207, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssList @ X0)
% 10.08/2.31 | ~ (segmentP @ nil @ X1)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ~ (ssList @ X0)
% 10.08/2.31 | (segmentP @ X0 @ X1))),
% 10.08/2.31 inference('demod', [status(thm)], [zip_derived_cl2199, zip_derived_cl7])).
% 10.08/2.31 thf(zip_derived_cl2208, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 ( (segmentP @ X0 @ X1)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ~ (segmentP @ nil @ X1)
% 10.08/2.31 | ~ (ssList @ X0))),
% 10.08/2.31 inference('simplify', [status(thm)], [zip_derived_cl2207])).
% 10.08/2.31 thf(zip_derived_cl2214, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssList @ X0)
% 10.08/2.31 | ((nil) != (X0))
% 10.08/2.31 | (segmentP @ X1 @ X0)
% 10.08/2.31 | ~ (ssList @ X0)
% 10.08/2.31 | ~ (ssList @ X1))),
% 10.08/2.31 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl2208])).
% 10.08/2.31 thf(zip_derived_cl2218, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssList @ X1)
% 10.08/2.31 | (segmentP @ X1 @ X0)
% 10.08/2.31 | ((nil) != (X0))
% 10.08/2.31 | ~ (ssList @ X0))),
% 10.08/2.31 inference('simplify', [status(thm)], [zip_derived_cl2214])).
% 10.08/2.31 thf(co1_7, conjecture, (~( segmentP @ sk4 @ sk3 ))).
% 10.08/2.31 thf(zf_stmt_8, negated_conjecture, (segmentP @ sk4 @ sk3),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_7])).
% 10.08/2.31 thf(zip_derived_cl191, plain, ( (segmentP @ sk4 @ sk3)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_8])).
% 10.08/2.31 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 10.08/2.31 thf(zf_stmt_9, negated_conjecture, (( sk2 ) = ( sk4 )),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_5])).
% 10.08/2.31 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.08/2.31 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 10.08/2.31 thf(zf_stmt_10, negated_conjecture, (( sk1 ) = ( sk3 )),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_6])).
% 10.08/2.31 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_10])).
% 10.08/2.31 thf(zip_derived_cl1398, plain, ( (segmentP @ sk2 @ sk1)),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 10.08/2.31 thf(clause127, axiom,
% 10.08/2.31 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ U ) ) |
% 10.08/2.31 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 10.08/2.31 thf(zip_derived_cl126, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (segmentP @ X0 @ X1)
% 10.08/2.31 | ~ (segmentP @ X1 @ X0)
% 10.08/2.31 | ~ (ssList @ X0)
% 10.08/2.31 | ~ (ssList @ X1)
% 10.08/2.31 | ((X1) = (X0)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause127])).
% 10.08/2.31 thf(zip_derived_cl1580, plain,
% 10.08/2.31 ((~ (segmentP @ sk1 @ sk2)
% 10.08/2.31 | ~ (ssList @ sk2)
% 10.08/2.31 | ~ (ssList @ sk1)
% 10.08/2.31 | ((sk1) = (sk2)))),
% 10.08/2.31 inference('s_sup-', [status(thm)],
% 10.08/2.31 [zip_derived_cl1398, zip_derived_cl126])).
% 10.08/2.31 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 10.08/2.31 thf(zf_stmt_11, negated_conjecture, (ssList @ sk2),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_2])).
% 10.08/2.31 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_11])).
% 10.08/2.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_7])).
% 10.08/2.31 thf(zip_derived_cl1588, plain,
% 10.08/2.31 ((~ (segmentP @ sk1 @ sk2) | ((sk1) = (sk2)))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl1580, zip_derived_cl186, zip_derived_cl185])).
% 10.08/2.31 thf(zip_derived_cl2560, plain,
% 10.08/2.31 ((~ (ssList @ sk2)
% 10.08/2.31 | ((nil) != (sk2))
% 10.08/2.31 | ~ (ssList @ sk1)
% 10.08/2.31 | ((sk1) = (sk2)))),
% 10.08/2.31 inference('s_sup-', [status(thm)],
% 10.08/2.31 [zip_derived_cl2218, zip_derived_cl1588])).
% 10.08/2.31 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_11])).
% 10.08/2.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_7])).
% 10.08/2.31 thf(zip_derived_cl2567, plain, ((((nil) != (sk2)) | ((sk1) = (sk2)))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl2560, zip_derived_cl186, zip_derived_cl185])).
% 10.08/2.31 thf(clause100, axiom,
% 10.08/2.31 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 10.08/2.31 ( ( V ) = ( U ) ))).
% 10.08/2.31 thf(zip_derived_cl99, plain,
% 10.08/2.31 (![X0 : $i, X1 : $i]:
% 10.08/2.31 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause100])).
% 10.08/2.31 thf(co1_18, conjecture,
% 10.08/2.31 (~( ( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 ) ))).
% 10.08/2.31 thf(zf_stmt_12, negated_conjecture,
% 10.08/2.31 (( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 )),
% 10.08/2.31 inference('cnf.neg', [status(esa)], [co1_18])).
% 10.08/2.31 thf(zip_derived_cl202, plain, ((~ (neq @ sk4 @ nil) | (singletonP @ sk3))),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_12])).
% 10.08/2.31 thf(zip_derived_cl1361, plain,
% 10.08/2.31 ((((sk4) = (nil))
% 10.08/2.31 | ~ (ssList @ sk4)
% 10.08/2.31 | ~ (ssList @ nil)
% 10.08/2.31 | (singletonP @ sk3))),
% 10.08/2.31 inference('dp-resolution', [status(thm)],
% 10.08/2.31 [zip_derived_cl99, zip_derived_cl202])).
% 10.08/2.31 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.08/2.31 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_9])).
% 10.08/2.31 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_11])).
% 10.08/2.31 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 10.08/2.31 inference('cnf', [status(esa)], [clause8])).
% 10.08/2.31 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_10])).
% 10.08/2.31 thf(zip_derived_cl1401, plain, ((((sk2) = (nil)) | (singletonP @ sk1))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl1361, zip_derived_cl189, zip_derived_cl189,
% 10.08/2.31 zip_derived_cl186, zip_derived_cl7, zip_derived_cl190])).
% 10.08/2.31 thf(clause101, axiom,
% 10.08/2.31 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 10.08/2.31 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 10.08/2.31 thf(zip_derived_cl100, plain,
% 10.08/2.31 (![X0 : $i]:
% 10.08/2.31 (~ (singletonP @ X0)
% 10.08/2.31 | ~ (ssList @ X0)
% 10.08/2.31 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause101])).
% 10.08/2.31 thf(clause66, axiom,
% 10.08/2.31 (( ~( ssItem @ U ) ) | ( strictorderedP @ ( cons @ U @ nil ) ))).
% 10.08/2.31 thf(zip_derived_cl65, plain,
% 10.08/2.31 (![X0 : $i]: (~ (ssItem @ X0) | (strictorderedP @ (cons @ X0 @ nil)))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause66])).
% 10.08/2.31 thf(zip_derived_cl1456, plain,
% 10.08/2.31 (![X0 : $i]:
% 10.08/2.31 (~ (ssList @ X0)
% 10.08/2.31 | ~ (singletonP @ X0)
% 10.08/2.31 | ~ (ssItem @ (skaf44 @ X0))
% 10.08/2.31 | (strictorderedP @ X0))),
% 10.08/2.31 inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl65])).
% 10.08/2.31 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 10.08/2.31 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 10.08/2.31 inference('cnf', [status(esa)], [clause47])).
% 10.08/2.31 thf(zip_derived_cl1462, plain,
% 10.08/2.31 (![X0 : $i]:
% 10.08/2.31 (~ (ssList @ X0) | ~ (singletonP @ X0) | (strictorderedP @ X0))),
% 10.08/2.31 inference('demod', [status(thm)], [zip_derived_cl1456, zip_derived_cl46])).
% 10.08/2.31 thf(zip_derived_cl1474, plain,
% 10.08/2.31 ((((sk2) = (nil)) | ~ (ssList @ sk1) | (strictorderedP @ sk1))),
% 10.08/2.31 inference('s_sup-', [status(thm)],
% 10.08/2.31 [zip_derived_cl1401, zip_derived_cl1462])).
% 10.08/2.31 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 10.08/2.31 inference('cnf', [status(esa)], [zf_stmt_7])).
% 10.08/2.31 thf(zip_derived_cl1476, plain, ((((sk2) = (nil)) | (strictorderedP @ sk1))),
% 10.08/2.31 inference('demod', [status(thm)], [zip_derived_cl1474, zip_derived_cl185])).
% 10.08/2.31 thf(zip_derived_cl8270, plain, (~ (strictorderedP @ sk1)),
% 10.08/2.31 inference('demod', [status(thm)], [zip_derived_cl8269, zip_derived_cl185])).
% 10.08/2.31 thf(zip_derived_cl8284, plain, (((sk2) = (nil))),
% 10.08/2.31 inference('s_sup-', [status(thm)],
% 10.08/2.31 [zip_derived_cl1476, zip_derived_cl8270])).
% 10.08/2.31 thf(zip_derived_cl8284, plain, (((sk2) = (nil))),
% 10.08/2.31 inference('s_sup-', [status(thm)],
% 10.08/2.31 [zip_derived_cl1476, zip_derived_cl8270])).
% 10.08/2.31 thf(zip_derived_cl8305, plain, ((((nil) != (nil)) | ((sk1) = (nil)))),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl2567, zip_derived_cl8284, zip_derived_cl8284])).
% 10.08/2.31 thf(zip_derived_cl8306, plain, (((sk1) = (nil))),
% 10.08/2.31 inference('simplify', [status(thm)], [zip_derived_cl8305])).
% 10.08/2.31 thf(clause3, axiom, (strictorderedP @ nil)).
% 10.08/2.31 thf(zip_derived_cl2, plain, ( (strictorderedP @ nil)),
% 10.08/2.31 inference('cnf', [status(esa)], [clause3])).
% 10.08/2.31 thf(zip_derived_cl8548, plain, ($false),
% 10.08/2.31 inference('demod', [status(thm)],
% 10.08/2.31 [zip_derived_cl8270, zip_derived_cl8306, zip_derived_cl2])).
% 10.08/2.31
% 10.08/2.31 % SZS output end Refutation
% 10.08/2.31
% 10.08/2.31
% 10.08/2.31 % Terminating...
% 11.04/2.37 % Runner terminated.
% 11.04/2.38 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------