TSTP Solution File: SWC414-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC414-1 : 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.fTV2ihQb88 true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:31:26 EDT 2023
% Result : Unsatisfiable 20.04s 3.47s
% Output : Refutation 20.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC414-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fTV2ihQb88 true
% 0.15/0.36 % Computer : n012.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 17:41:24 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
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 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/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76 % /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/fo5.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 20.04/3.47 % Solved by fo/fo6_bce.sh.
% 20.04/3.47 % BCE start: 241
% 20.04/3.47 % BCE eliminated: 4
% 20.04/3.47 % PE start: 237
% 20.04/3.47 logic: eq
% 20.04/3.47 % PE eliminated: 6
% 20.04/3.47 % done 1249 iterations in 2.689s
% 20.04/3.47 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.04/3.47 % SZS output start Refutation
% 20.04/3.47 thf(nil_type, type, nil: $i).
% 20.04/3.47 thf(cons_type, type, cons: $i > $i > $i).
% 20.04/3.47 thf(sk2_type, type, sk2: $i).
% 20.04/3.47 thf(sk12_type, type, sk12: $i).
% 20.04/3.47 thf(sk7_type, type, sk7: $i).
% 20.04/3.47 thf(sk5_type, type, sk5: $i).
% 20.04/3.47 thf(sk8_type, type, sk8: $i).
% 20.04/3.47 thf(sk4_type, type, sk4: $i).
% 20.04/3.47 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 20.04/3.47 thf(skac3_type, type, skac3: $i).
% 20.04/3.47 thf(sk6_type, type, sk6: $i).
% 20.04/3.47 thf(ssItem_type, type, ssItem: $i > $o).
% 20.04/3.47 thf(sk10_type, type, sk10: $i).
% 20.04/3.47 thf(skaf82_type, type, skaf82: $i > $i).
% 20.04/3.47 thf(sk3_type, type, sk3: $i).
% 20.04/3.47 thf(sk13_type, type, sk13: $i).
% 20.04/3.47 thf(sk9_type, type, sk9: $i).
% 20.04/3.47 thf(sk11_type, type, sk11: $i).
% 20.04/3.47 thf(app_type, type, app: $i > $i > $i).
% 20.04/3.47 thf(ssList_type, type, ssList: $i > $o).
% 20.04/3.47 thf(sk1_type, type, sk1: $i).
% 20.04/3.47 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 20.04/3.47 thf(zip_derived_cl72, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause73])).
% 20.04/3.47 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 20.04/3.47 thf(zip_derived_cl73, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause74])).
% 20.04/3.47 thf(zip_derived_cl72, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause73])).
% 20.04/3.47 thf(zip_derived_cl73, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause74])).
% 20.04/3.47 thf(co1_56, conjecture,
% 20.04/3.47 (~( ( ( app @
% 20.04/3.47 ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk9 @ nil ) @ ( cons @ sk8 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk3 ) ) ))).
% 20.04/3.47 thf(zf_stmt_0, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk9 @ nil ) @ ( cons @ sk8 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk3 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_56])).
% 20.04/3.47 thf(zip_derived_cl240, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10)
% 20.04/3.47 = (sk3)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.04/3.47 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 20.04/3.47 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_6])).
% 20.04/3.47 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 20.04/3.47 thf(zip_derived_cl1621, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10)
% 20.04/3.47 = (sk1)))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl240, zip_derived_cl190])).
% 20.04/3.47 thf(zip_derived_cl72, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause73])).
% 20.04/3.47 thf(zip_derived_cl73, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause74])).
% 20.04/3.47 thf(co1_36, conjecture,
% 20.04/3.47 (~( ( ( app @
% 20.04/3.47 ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 20.04/3.47 ( sk2 ) ) ))).
% 20.04/3.47 thf(zf_stmt_2, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 20.04/3.47 ( sk2 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_36])).
% 20.04/3.47 thf(zip_derived_cl220, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 20.04/3.47 thf(clause149, axiom,
% 20.04/3.47 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 20.04/3.47 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 20.04/3.47 thf(zip_derived_cl148, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause149])).
% 20.04/3.47 thf(zip_derived_cl2505, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ~ (ssList @ sk7)
% 20.04/3.47 | ~ (ssList @ (cons @ sk6 @ nil))
% 20.04/3.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl220, zip_derived_cl148])).
% 20.04/3.47 thf(co1_35, conjecture,
% 20.04/3.47 (~( ( ( app @
% 20.04/3.47 ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ssList @ sk7 ) ))).
% 20.04/3.47 thf(zf_stmt_3, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ssList @ sk7 )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_35])).
% 20.04/3.47 thf(zip_derived_cl219, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | (ssList @ sk7))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_3])).
% 20.04/3.47 thf(co1_14, conjecture,
% 20.04/3.47 (~( ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ssList @ sk7 ) ))).
% 20.04/3.47 thf(zf_stmt_4, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ssList @ sk7 )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_14])).
% 20.04/3.47 thf(zip_derived_cl198, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk4))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssItem @ X0)
% 20.04/3.47 | (ssList @ sk7))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_4])).
% 20.04/3.47 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 20.04/3.47 thf(zf_stmt_5, negated_conjecture, (( sk2 ) = ( sk4 )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_5])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(clause120, axiom,
% 20.04/3.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 20.04/3.47 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 20.04/3.47 thf(zip_derived_cl119, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssItem @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause120])).
% 20.04/3.47 thf(zip_derived_cl73, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause74])).
% 20.04/3.47 thf(clause72, axiom,
% 20.04/3.47 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 20.04/3.47 thf(zip_derived_cl71, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause72])).
% 20.04/3.47 thf(clause179, axiom,
% 20.04/3.47 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 20.04/3.47 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 20.04/3.47 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 20.04/3.47 thf(zip_derived_cl178, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.04/3.47 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 20.04/3.47 | ~ (ssList @ X4)
% 20.04/3.47 | ~ (ssList @ X3)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssItem @ X2)
% 20.04/3.47 | ~ (duplicatefreeP @ X0)
% 20.04/3.47 | ~ (ssList @ X0))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause179])).
% 20.04/3.47 thf(zip_derived_cl1589, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 20.04/3.47 ( (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssItem @ X3)
% 20.04/3.47 | ~ (ssList @ X5)
% 20.04/3.47 | ~ (ssList @ X4)
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 20.04/3.47 inference('dp-resolution', [status(thm)],
% 20.04/3.47 [zip_derived_cl71, zip_derived_cl178])).
% 20.04/3.47 thf(zip_derived_cl3093, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 20.04/3.47 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssList @ X4)
% 20.04/3.47 | ~ (ssList @ X5)
% 20.04/3.47 | ~ (ssItem @ X3)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | (ssItem @ X1))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl1589])).
% 20.04/3.47 thf(zip_derived_cl3106, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.04/3.47 ( (ssItem @ X0)
% 20.04/3.47 | ~ (ssList @
% 20.04/3.47 (app @ (app @ X4 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X1)))
% 20.04/3.47 | ~ (ssItem @ X2)
% 20.04/3.47 | ~ (ssList @ X4)
% 20.04/3.47 | ~ (ssList @ X3)
% 20.04/3.47 | ~ (ssList @ X1))),
% 20.04/3.47 inference('eq_res', [status(thm)], [zip_derived_cl3093])).
% 20.04/3.47 thf(zip_derived_cl3166, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.04/3.47 (~ (ssList @ (cons @ X1 @ X0))
% 20.04/3.47 | (ssItem @ X3)
% 20.04/3.47 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ nil)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X2))),
% 20.04/3.47 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl3106])).
% 20.04/3.47 thf(clause8, axiom, (ssList @ nil)).
% 20.04/3.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 20.04/3.47 inference('cnf', [status(esa)], [clause8])).
% 20.04/3.47 thf(zip_derived_cl3177, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.04/3.47 (~ (ssList @ (cons @ X1 @ X0))
% 20.04/3.47 | (ssItem @ X3)
% 20.04/3.47 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X2))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl3166, zip_derived_cl7])).
% 20.04/3.47 thf(clause86, axiom,
% 20.04/3.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 20.04/3.47 thf(zip_derived_cl85, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause86])).
% 20.04/3.47 thf(zip_derived_cl3689, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.04/3.47 (~ (ssList @ X2)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ (app @ (cons @ X1 @ X0) @ (cons @ X1 @ X2)))
% 20.04/3.47 | (ssItem @ X3))),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl3177, zip_derived_cl85])).
% 20.04/3.47 thf(zip_derived_cl3693, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ (cons @ X1 @ X0))
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ nil)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 20.04/3.47 | (ssItem @ X2))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl119, zip_derived_cl3689])).
% 20.04/3.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 20.04/3.47 inference('cnf', [status(esa)], [clause8])).
% 20.04/3.47 thf(zip_derived_cl3700, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ (cons @ X1 @ X0))
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 20.04/3.47 | (ssItem @ X2))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl3693, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl3701, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 ( (ssItem @ X2)
% 20.04/3.47 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ (cons @ X1 @ X0)))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl3700])).
% 20.04/3.47 thf(zip_derived_cl85, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause86])).
% 20.04/3.47 thf(zip_derived_cl3796, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ (cons @ X1 @ X0))
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | (ssItem @ X2))),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl3701, zip_derived_cl85])).
% 20.04/3.47 thf(zip_derived_cl85, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause86])).
% 20.04/3.47 thf(zip_derived_cl3797, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 ( (ssItem @ X2) | ~ (ssList @ X0) | ~ (ssItem @ X1))),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl3796, zip_derived_cl85])).
% 20.04/3.47 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 20.04/3.47 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause13])).
% 20.04/3.47 thf(zip_derived_cl3799, plain,
% 20.04/3.47 (![X1 : $i, X2 : $i]: (~ (ssItem @ X1) | (ssItem @ X2))),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3797, zip_derived_cl12])).
% 20.04/3.47 thf(clause9, axiom, (ssItem @ skac3)).
% 20.04/3.47 thf(zip_derived_cl8, plain, ( (ssItem @ skac3)),
% 20.04/3.47 inference('cnf', [status(esa)], [clause9])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl4243, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | (ssList @ sk7))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl198, zip_derived_cl189, zip_derived_cl3932,
% 20.04/3.47 zip_derived_cl3932])).
% 20.04/3.47 thf(zip_derived_cl4248, plain,
% 20.04/3.47 (( (ssList @ sk7)
% 20.04/3.47 | ((sk2) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk13)
% 20.04/3.47 | (ssList @ sk7))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl219, zip_derived_cl4243])).
% 20.04/3.47 thf(zip_derived_cl4261, plain, ((~ (ssList @ sk13) | (ssList @ sk7))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl4248])).
% 20.04/3.47 thf(co1_33, conjecture, (~( ( ssList @ sk13 ) | ( ssList @ sk7 ) ))).
% 20.04/3.47 thf(zf_stmt_6, negated_conjecture, (( ssList @ sk13 ) | ( ssList @ sk7 )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_33])).
% 20.04/3.47 thf(zip_derived_cl217, plain, (( (ssList @ sk13) | (ssList @ sk7))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_6])).
% 20.04/3.47 thf(zip_derived_cl4267, plain, ( (ssList @ sk7)),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl4261, zip_derived_cl217])).
% 20.04/3.47 thf(clause145, axiom,
% 20.04/3.47 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 20.04/3.47 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 20.04/3.47 thf(zip_derived_cl144, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (((nil) != (X0))
% 20.04/3.47 | ((nil) != (X1))
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ((app @ X0 @ X1) = (nil)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause145])).
% 20.04/3.47 thf(clause157, axiom,
% 20.04/3.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 20.04/3.47 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 20.04/3.47 thf(zip_derived_cl156, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssItem @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause157])).
% 20.04/3.47 thf(clause85, axiom,
% 20.04/3.47 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 20.04/3.47 thf(zip_derived_cl84, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause85])).
% 20.04/3.47 thf(zip_derived_cl2879, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssItem @ X2)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ (cons @ X2 @ X1))
% 20.04/3.47 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 20.04/3.47 thf(zip_derived_cl2931, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 20.04/3.47 | ~ (ssList @ (cons @ X2 @ X1))
% 20.04/3.47 | ~ (ssItem @ X2)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X0))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl2879])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl5457, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 20.04/3.47 | ~ (ssList @ (cons @ X2 @ X1))
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X0))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl2931, zip_derived_cl3932])).
% 20.04/3.47 thf(zip_derived_cl85, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause86])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl4060, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3932])).
% 20.04/3.47 thf(zip_derived_cl5458, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl5457, zip_derived_cl4060])).
% 20.04/3.47 thf(zip_derived_cl5459, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ((nil) != (X0))
% 20.04/3.47 | ((nil) != (X1))
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | (ssList @ (cons @ X2 @ nil)))),
% 20.04/3.47 inference('s_sup+', [status(thm)],
% 20.04/3.47 [zip_derived_cl144, zip_derived_cl5458])).
% 20.04/3.47 thf(zip_derived_cl5484, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 ( (ssList @ (cons @ X2 @ nil))
% 20.04/3.47 | ((nil) != (X1))
% 20.04/3.47 | ((nil) != (X0))
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl5459])).
% 20.04/3.47 thf(zip_derived_cl5545, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssList @ nil)
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ((nil) != (X0))
% 20.04/3.47 | (ssList @ (cons @ X1 @ nil)))),
% 20.04/3.47 inference('eq_res', [status(thm)], [zip_derived_cl5484])).
% 20.04/3.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 20.04/3.47 inference('cnf', [status(esa)], [clause8])).
% 20.04/3.47 thf(zip_derived_cl5546, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]:
% 20.04/3.47 (~ (ssList @ X0) | ((nil) != (X0)) | (ssList @ (cons @ X1 @ nil)))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5545, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl5547, plain,
% 20.04/3.47 (![X0 : $i]: ( (ssList @ (cons @ X0 @ nil)) | ~ (ssList @ nil))),
% 20.04/3.47 inference('eq_res', [status(thm)], [zip_derived_cl5546])).
% 20.04/3.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 20.04/3.47 inference('cnf', [status(esa)], [clause8])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl6048, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl2505, zip_derived_cl4267, zip_derived_cl5548,
% 20.04/3.47 zip_derived_cl5548])).
% 20.04/3.47 thf(co1_15, conjecture,
% 20.04/3.47 (~( ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 20.04/3.47 ( sk2 ) ) ))).
% 20.04/3.47 thf(zf_stmt_7, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 20.04/3.47 ( sk2 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_15])).
% 20.04/3.47 thf(zip_derived_cl199, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk4))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssItem @ X0)
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_7])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl4271, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl199, zip_derived_cl189, zip_derived_cl3932,
% 20.04/3.47 zip_derived_cl3932])).
% 20.04/3.47 thf(zip_derived_cl6076, plain,
% 20.04/3.47 ((((sk2) = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7)))
% 20.04/3.47 | ((sk2) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl6048, zip_derived_cl4271])).
% 20.04/3.47 thf(zip_derived_cl6088, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2))
% 20.04/3.47 | ~ (ssList @ sk13)
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl6076])).
% 20.04/3.47 thf(zip_derived_cl4060, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl3932])).
% 20.04/3.47 thf(co1_34, conjecture,
% 20.04/3.47 (~( ( ssList @ sk13 ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 20.04/3.47 ( sk2 ) ) ))).
% 20.04/3.47 thf(zf_stmt_8, negated_conjecture,
% 20.04/3.47 (( ssList @ sk13 ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 20.04/3.47 ( sk2 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_34])).
% 20.04/3.47 thf(zip_derived_cl218, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_8])).
% 20.04/3.47 thf(zip_derived_cl148, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause149])).
% 20.04/3.47 thf(zip_derived_cl2504, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ~ (ssList @ sk7)
% 20.04/3.47 | ~ (ssList @ (cons @ sk6 @ nil))
% 20.04/3.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl218, zip_derived_cl148])).
% 20.04/3.47 thf(zip_derived_cl4267, plain, ( (ssList @ sk7)),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl4261, zip_derived_cl217])).
% 20.04/3.47 thf(zip_derived_cl5549, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ~ (ssList @ (cons @ sk6 @ nil))
% 20.04/3.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl2504, zip_derived_cl4267])).
% 20.04/3.47 thf(zip_derived_cl5550, plain,
% 20.04/3.47 ((~ (ssList @ nil)
% 20.04/3.47 | (ssList @ sk13)
% 20.04/3.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl4060, zip_derived_cl5549])).
% 20.04/3.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 20.04/3.47 inference('cnf', [status(esa)], [clause8])).
% 20.04/3.47 thf(zip_derived_cl5551, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5550, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl5570, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl5551, zip_derived_cl5548])).
% 20.04/3.47 thf(zip_derived_cl6839, plain,
% 20.04/3.47 ((((sk2) = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7)))
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl6088, zip_derived_cl5570])).
% 20.04/3.47 thf(zip_derived_cl148, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause149])).
% 20.04/3.47 thf(zip_derived_cl6862, plain,
% 20.04/3.47 ((((sk2) = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7)))
% 20.04/3.47 | ~ (ssList @ sk7)
% 20.04/3.47 | ~ (ssList @ (cons @ sk6 @ nil))
% 20.04/3.47 | ~ (ssList @ (cons @ sk5 @ nil))
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('s_sup+', [status(thm)],
% 20.04/3.47 [zip_derived_cl6839, zip_derived_cl148])).
% 20.04/3.47 thf(zip_derived_cl4267, plain, ( (ssList @ sk7)),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl4261, zip_derived_cl217])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl6895, plain,
% 20.04/3.47 ((((sk2) = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7)))
% 20.04/3.47 | ((sk2)
% 20.04/3.47 = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7))))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl6862, zip_derived_cl4267, zip_derived_cl5548,
% 20.04/3.47 zip_derived_cl5548])).
% 20.04/3.47 thf(zip_derived_cl6896, plain,
% 20.04/3.47 (((sk2) = (app @ (cons @ sk5 @ nil) @ (app @ (cons @ sk6 @ nil) @ sk7)))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl6895])).
% 20.04/3.47 thf(zip_derived_cl148, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause149])).
% 20.04/3.47 thf(co1_7, conjecture,
% 20.04/3.47 (~( ( ( app @ ( app @ ( cons @ F @ nil ) @ ( cons @ G @ nil ) ) @ H ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ H ) ) | ( ~( ssItem @ G ) ) | ( ~( ssItem @ F ) ) |
% 20.04/3.47 ( ( app @
% 20.04/3.47 ( app @
% 20.04/3.47 ( app @ ( app @ C @ ( cons @ B @ nil ) ) @ D ) @
% 20.04/3.47 ( cons @ A @ nil ) ) @
% 20.04/3.47 E ) !=
% 20.04/3.47 ( sk1 ) ) |
% 20.04/3.47 ( ( app @
% 20.04/3.47 ( app @
% 20.04/3.47 ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ D ) @
% 20.04/3.47 ( cons @ B @ nil ) ) @
% 20.04/3.47 E ) !=
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ~( ssList @ E ) ) | ( ~( ssList @ D ) ) | ( ~( ssList @ C ) ) |
% 20.04/3.47 ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 20.04/3.47 thf(zf_stmt_9, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ F @ nil ) @ ( cons @ G @ nil ) ) @ H ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ H ) ) | ( ~( ssItem @ G ) ) | ( ~( ssItem @ F ) ) |
% 20.04/3.47 ( ( app @
% 20.04/3.47 ( app @
% 20.04/3.47 ( app @ ( app @ C @ ( cons @ B @ nil ) ) @ D ) @ ( cons @ A @ nil ) ) @
% 20.04/3.47 E ) !=
% 20.04/3.47 ( sk1 ) ) |
% 20.04/3.47 ( ( app @
% 20.04/3.47 ( app @
% 20.04/3.47 ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ D ) @ ( cons @ B @ nil ) ) @
% 20.04/3.47 E ) !=
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ~( ssList @ E ) ) | ( ~( ssList @ D ) ) | ( ~( ssList @ C ) ) |
% 20.04/3.47 ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_7])).
% 20.04/3.47 thf(zip_derived_cl191, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk4))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssItem @ X0)
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X3 @ (cons @ X4 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X6 @ nil)) @
% 20.04/3.47 X7) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X3 @ (cons @ X6 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X4 @ nil)) @
% 20.04/3.47 X7) != (sk2))
% 20.04/3.47 | ~ (ssList @ X7)
% 20.04/3.47 | ~ (ssList @ X5)
% 20.04/3.47 | ~ (ssList @ X3)
% 20.04/3.47 | ~ (ssItem @ X4)
% 20.04/3.47 | ~ (ssItem @ X6))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_9])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(zip_derived_cl4007, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssItem @ X0)
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X3 @ (cons @ X4 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X6 @ nil)) @
% 20.04/3.47 X7) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X3 @ (cons @ X6 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X4 @ nil)) @
% 20.04/3.47 X7) != (sk2))
% 20.04/3.47 | ~ (ssList @ X7)
% 20.04/3.47 | ~ (ssList @ X5)
% 20.04/3.47 | ~ (ssList @ X3)
% 20.04/3.47 | ~ (ssItem @ X4)
% 20.04/3.47 | ~ (ssItem @ X6))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 20.04/3.47 thf(zip_derived_cl4011, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 20.04/3.47 (~ (ssList @ (cons @ X2 @ nil))
% 20.04/3.47 | ~ (ssList @ (cons @ X1 @ nil))
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ((app @ (cons @ X2 @ nil) @ (app @ (cons @ X1 @ nil) @ X0))
% 20.04/3.47 != (sk2))
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssItem @ X2)
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X7 @ (cons @ X6 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X4 @ nil)) @
% 20.04/3.47 X3) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X7 @ (cons @ X4 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X6 @ nil)) @
% 20.04/3.47 X3) != (sk2))
% 20.04/3.47 | ~ (ssList @ X3)
% 20.04/3.47 | ~ (ssList @ X5)
% 20.04/3.47 | ~ (ssList @ X7)
% 20.04/3.47 | ~ (ssItem @ X6)
% 20.04/3.47 | ~ (ssItem @ X4))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl148, zip_derived_cl4007])).
% 20.04/3.47 thf(zip_derived_cl4036, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 20.04/3.47 (~ (ssItem @ X4)
% 20.04/3.47 | ~ (ssItem @ X6)
% 20.04/3.47 | ~ (ssList @ X7)
% 20.04/3.47 | ~ (ssList @ X5)
% 20.04/3.47 | ~ (ssList @ X3)
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X7 @ (cons @ X4 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X6 @ nil)) @
% 20.04/3.47 X3) != (sk2))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X7 @ (cons @ X6 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X4 @ nil)) @
% 20.04/3.47 X3) != (sk1))
% 20.04/3.47 | ~ (ssItem @ X2)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ((app @ (cons @ X2 @ nil) @ (app @ (cons @ X1 @ nil) @ X0))
% 20.04/3.47 != (sk2))
% 20.04/3.47 | ~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ (cons @ X1 @ nil))
% 20.04/3.47 | ~ (ssList @ (cons @ X2 @ nil)))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl4011])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9418, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 20.04/3.47 (~ (ssList @ X7)
% 20.04/3.47 | ~ (ssList @ X5)
% 20.04/3.47 | ~ (ssList @ X3)
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X7 @ (cons @ X4 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X6 @ nil)) @
% 20.04/3.47 X3) != (sk2))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X7 @ (cons @ X6 @ nil)) @ X5) @
% 20.04/3.47 (cons @ X4 @ nil)) @
% 20.04/3.47 X3) != (sk1))
% 20.04/3.47 | ((app @ (cons @ X2 @ nil) @ (app @ (cons @ X1 @ nil) @ X0))
% 20.04/3.47 != (sk2))
% 20.04/3.47 | ~ (ssList @ X0))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl4036, zip_derived_cl3932, zip_derived_cl3932,
% 20.04/3.47 zip_derived_cl3932, zip_derived_cl3932, zip_derived_cl5548,
% 20.04/3.47 zip_derived_cl5548])).
% 20.04/3.47 thf(zip_derived_cl9422, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.04/3.47 (~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X0 @ (cons @ X4 @ nil)) @ X1) @
% 20.04/3.47 (cons @ X3 @ nil)) @
% 20.04/3.47 X2) != (sk2))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X0 @ (cons @ X3 @ nil)) @ X1) @
% 20.04/3.47 (cons @ X4 @ nil)) @
% 20.04/3.47 X2) != (sk1))
% 20.04/3.47 | ((sk2) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk7))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl6896, zip_derived_cl9418])).
% 20.04/3.47 thf(zip_derived_cl4267, plain, ( (ssList @ sk7)),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl4261, zip_derived_cl217])).
% 20.04/3.47 thf(zip_derived_cl9436, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.04/3.47 (~ (ssList @ X0)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X0 @ (cons @ X4 @ nil)) @ X1) @
% 20.04/3.47 (cons @ X3 @ nil)) @
% 20.04/3.47 X2) != (sk2))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X0 @ (cons @ X3 @ nil)) @ X1) @
% 20.04/3.47 (cons @ X4 @ nil)) @
% 20.04/3.47 X2) != (sk1))
% 20.04/3.47 | ((sk2) != (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9422, zip_derived_cl4267])).
% 20.04/3.47 thf(zip_derived_cl9437, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 20.04/3.47 (((app @
% 20.04/3.47 (app @ (app @ (app @ X0 @ (cons @ X3 @ nil)) @ X1) @
% 20.04/3.47 (cons @ X4 @ nil)) @
% 20.04/3.47 X2) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ X0 @ (cons @ X4 @ nil)) @ X1) @
% 20.04/3.47 (cons @ X3 @ nil)) @
% 20.04/3.47 X2) != (sk2))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X0))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl9436])).
% 20.04/3.47 thf(zip_derived_cl9475, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.04/3.47 (~ (ssList @ (cons @ X0 @ nil))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (cons @ X0 @ nil) @ X3) @ (cons @ X2 @ nil)) @ X1)
% 20.04/3.47 != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ X2 @ nil)) @ X3) @
% 20.04/3.47 (cons @ X0 @ nil)) @
% 20.04/3.47 X1) != (sk2))
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X3)
% 20.04/3.47 | ~ (ssList @ nil))),
% 20.04/3.47 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl9437])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 20.04/3.47 inference('cnf', [status(esa)], [clause8])).
% 20.04/3.47 thf(zip_derived_cl9512, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.04/3.47 (((app @ (app @ (app @ (cons @ X0 @ nil) @ X3) @ (cons @ X2 @ nil)) @
% 20.04/3.47 X1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ X2 @ nil)) @ X3) @
% 20.04/3.47 (cons @ X0 @ nil)) @
% 20.04/3.47 X1) != (sk2))
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ X3))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9475, zip_derived_cl5548, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9643, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (~ (ssList @ (cons @ X0 @ nil))
% 20.04/3.47 | ((app @ (app @ (cons @ X0 @ nil) @ (cons @ X2 @ nil)) @ X1)
% 20.04/3.47 != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ X2 @ nil)) @ nil) @
% 20.04/3.47 (cons @ X0 @ nil)) @
% 20.04/3.47 X1) != (sk2))
% 20.04/3.47 | ~ (ssList @ X1)
% 20.04/3.47 | ~ (ssList @ nil))),
% 20.04/3.47 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl9512])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 20.04/3.47 inference('cnf', [status(esa)], [clause8])).
% 20.04/3.47 thf(zip_derived_cl9660, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X2 @ nil)) @ X1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ X2 @ nil)) @ nil) @
% 20.04/3.47 (cons @ X0 @ nil)) @
% 20.04/3.47 X1) != (sk2))
% 20.04/3.47 | ~ (ssList @ X1))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9643, zip_derived_cl5548, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9691, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ((sk1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk10))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl1621, zip_derived_cl9660])).
% 20.04/3.47 thf(co1_54, conjecture,
% 20.04/3.47 (~( ( ( app @
% 20.04/3.47 ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ssList @ sk10 ) ))).
% 20.04/3.47 thf(zf_stmt_10, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ssList @ sk10 )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_54])).
% 20.04/3.47 thf(zip_derived_cl238, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | (ssList @ sk10))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_10])).
% 20.04/3.47 thf(zip_derived_cl4271, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl199, zip_derived_cl189, zip_derived_cl3932,
% 20.04/3.47 zip_derived_cl3932])).
% 20.04/3.47 thf(zip_derived_cl4276, plain,
% 20.04/3.47 (( (ssList @ sk10)
% 20.04/3.47 | ((sk2) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl238, zip_derived_cl4271])).
% 20.04/3.47 thf(zip_derived_cl4288, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2))
% 20.04/3.47 | ~ (ssList @ sk13)
% 20.04/3.47 | (ssList @ sk10))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl4276])).
% 20.04/3.47 thf(co1_51, conjecture, (~( ( ssList @ sk13 ) | ( ssList @ sk10 ) ))).
% 20.04/3.47 thf(zf_stmt_11, negated_conjecture, (( ssList @ sk13 ) | ( ssList @ sk10 )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_51])).
% 20.04/3.47 thf(zip_derived_cl235, plain, (( (ssList @ sk13) | (ssList @ sk10))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_11])).
% 20.04/3.47 thf(zip_derived_cl4305, plain,
% 20.04/3.47 (( (ssList @ sk10)
% 20.04/3.47 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl4288, zip_derived_cl235])).
% 20.04/3.47 thf(co1_18, conjecture,
% 20.04/3.47 (~( ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ssList @ sk10 ) ))).
% 20.04/3.47 thf(zf_stmt_12, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ssList @ sk10 )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_18])).
% 20.04/3.47 thf(zip_derived_cl202, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk4))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssItem @ X0)
% 20.04/3.47 | (ssList @ sk10))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_12])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl4356, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | (ssList @ sk10))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl202, zip_derived_cl189, zip_derived_cl3932,
% 20.04/3.47 zip_derived_cl3932])).
% 20.04/3.47 thf(zip_derived_cl4364, plain,
% 20.04/3.47 (( (ssList @ sk10)
% 20.04/3.47 | ((sk2) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk7)
% 20.04/3.47 | (ssList @ sk10))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl4305, zip_derived_cl4356])).
% 20.04/3.47 thf(zip_derived_cl4267, plain, ( (ssList @ sk7)),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl4261, zip_derived_cl217])).
% 20.04/3.47 thf(zip_derived_cl4379, plain,
% 20.04/3.47 (( (ssList @ sk10) | ((sk2) != (sk2)) | (ssList @ sk10))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl4364, zip_derived_cl4267])).
% 20.04/3.47 thf(zip_derived_cl4380, plain, ( (ssList @ sk10)),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl4379])).
% 20.04/3.47 thf(zip_derived_cl9713, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ((sk1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9691, zip_derived_cl4380])).
% 20.04/3.47 thf(zip_derived_cl9714, plain,
% 20.04/3.47 ((((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl9713])).
% 20.04/3.47 thf(zip_derived_cl9959, plain,
% 20.04/3.47 ((~ (ssList @ (cons @ sk8 @ nil))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (cons @ sk8 @ nil) @ nil) @ (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl9714])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9969, plain,
% 20.04/3.47 ((((app @
% 20.04/3.47 (app @ (app @ (cons @ sk8 @ nil) @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 != (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9959, zip_derived_cl5548])).
% 20.04/3.47 thf(zip_derived_cl9977, plain,
% 20.04/3.47 ((~ (ssList @ (cons @ sk8 @ nil))
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 != (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl9969])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9984, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 != (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9977, zip_derived_cl5548])).
% 20.04/3.47 thf(co1_55, conjecture,
% 20.04/3.47 (~( ( ( app @
% 20.04/3.47 ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk4 ) ) ))).
% 20.04/3.47 thf(zf_stmt_13, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ sk11 @ nil ) @ ( cons @ sk12 @ nil ) ) @ sk13 ) =
% 20.04/3.47 ( sk2 ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk4 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_55])).
% 20.04/3.47 thf(zip_derived_cl239, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 = (sk4)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_13])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(zip_derived_cl1620, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl189])).
% 20.04/3.47 thf(zip_derived_cl9986, plain,
% 20.04/3.47 (((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl9984, zip_derived_cl1620])).
% 20.04/3.47 thf(co1_20, conjecture,
% 20.04/3.47 (~( ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk9 @ nil ) @ ( cons @ sk8 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk3 ) ) ))).
% 20.04/3.47 thf(zf_stmt_14, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk9 @ nil ) @ ( cons @ sk8 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk3 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_20])).
% 20.04/3.47 thf(zip_derived_cl204, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk4))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssItem @ X0)
% 20.04/3.47 | ((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10)
% 20.04/3.47 = (sk3)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_14])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 20.04/3.47 thf(zip_derived_cl4414, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10)
% 20.04/3.47 = (sk1)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl204, zip_derived_cl189, zip_derived_cl3932,
% 20.04/3.47 zip_derived_cl3932, zip_derived_cl190])).
% 20.04/3.47 thf(zip_derived_cl10021, plain,
% 20.04/3.47 ((((sk2) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10)
% 20.04/3.47 = (sk1)))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl9986, zip_derived_cl4414])).
% 20.04/3.47 thf(zip_derived_cl72, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause73])).
% 20.04/3.47 thf(zip_derived_cl73, plain,
% 20.04/3.47 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 20.04/3.47 inference('cnf', [status(esa)], [clause74])).
% 20.04/3.47 thf(co1_53, conjecture,
% 20.04/3.47 (~( ( ssList @ sk13 ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk9 @ nil ) @ ( cons @ sk8 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk3 ) ) ))).
% 20.04/3.47 thf(zf_stmt_15, negated_conjecture,
% 20.04/3.47 (( ssList @ sk13 ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk9 @ nil ) @ ( cons @ sk8 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk3 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_53])).
% 20.04/3.47 thf(zip_derived_cl237, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10)
% 20.04/3.47 = (sk3)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_15])).
% 20.04/3.47 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 20.04/3.47 thf(zip_derived_cl1619, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10)
% 20.04/3.47 = (sk1)))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl237, zip_derived_cl190])).
% 20.04/3.47 thf(zip_derived_cl9660, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X2 @ nil)) @ X1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ X2 @ nil)) @ nil) @
% 20.04/3.47 (cons @ X0 @ nil)) @
% 20.04/3.47 X1) != (sk2))
% 20.04/3.47 | ~ (ssList @ X1))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9643, zip_derived_cl5548, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9690, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ((sk1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk10))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl1619, zip_derived_cl9660])).
% 20.04/3.47 thf(zip_derived_cl4380, plain, ( (ssList @ sk10)),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl4379])).
% 20.04/3.47 thf(zip_derived_cl9711, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ((sk1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9690, zip_derived_cl4380])).
% 20.04/3.47 thf(zip_derived_cl9712, plain,
% 20.04/3.47 ((((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))
% 20.04/3.47 | (ssList @ sk13))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl9711])).
% 20.04/3.47 thf(zip_derived_cl9882, plain,
% 20.04/3.47 ((~ (ssList @ (cons @ sk8 @ nil))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (cons @ sk8 @ nil) @ nil) @ (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))
% 20.04/3.47 | (ssList @ sk13))),
% 20.04/3.47 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl9712])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9892, plain,
% 20.04/3.47 ((((app @
% 20.04/3.47 (app @ (app @ (cons @ sk8 @ nil) @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 != (sk2))
% 20.04/3.47 | (ssList @ sk13))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9882, zip_derived_cl5548])).
% 20.04/3.47 thf(zip_derived_cl9916, plain,
% 20.04/3.47 ((~ (ssList @ (cons @ sk8 @ nil))
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 != (sk2))
% 20.04/3.47 | (ssList @ sk13))),
% 20.04/3.47 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl9892])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9923, plain,
% 20.04/3.47 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 != (sk2))
% 20.04/3.47 | (ssList @ sk13))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9916, zip_derived_cl5548])).
% 20.04/3.47 thf(co1_52, conjecture,
% 20.04/3.47 (~( ( ssList @ sk13 ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk4 ) ) ))).
% 20.04/3.47 thf(zf_stmt_16, negated_conjecture,
% 20.04/3.47 (( ssList @ sk13 ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk4 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_52])).
% 20.04/3.47 thf(zip_derived_cl236, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 = (sk4)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_16])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(zip_derived_cl1618, plain,
% 20.04/3.47 (( (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl189])).
% 20.04/3.47 thf(zip_derived_cl9926, plain, ( (ssList @ sk13)),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl9923, zip_derived_cl1618])).
% 20.04/3.47 thf(zip_derived_cl10061, plain,
% 20.04/3.47 ((((sk2) != (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10)
% 20.04/3.47 = (sk1)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl10021, zip_derived_cl9926])).
% 20.04/3.47 thf(zip_derived_cl10062, plain,
% 20.04/3.47 (((app @ (app @ (cons @ sk9 @ nil) @ (cons @ sk8 @ nil)) @ sk10) = (sk1))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl10061])).
% 20.04/3.47 thf(zip_derived_cl9660, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X2 @ nil)) @ X1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ X2 @ nil)) @ nil) @
% 20.04/3.47 (cons @ X0 @ nil)) @
% 20.04/3.47 X1) != (sk2))
% 20.04/3.47 | ~ (ssList @ X1))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl9643, zip_derived_cl5548, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl10340, plain,
% 20.04/3.47 ((((sk1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk10))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl10062, zip_derived_cl9660])).
% 20.04/3.47 thf(zip_derived_cl4380, plain, ( (ssList @ sk10)),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl4379])).
% 20.04/3.47 thf(zip_derived_cl10375, plain,
% 20.04/3.47 ((((sk1) != (sk1))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl10340, zip_derived_cl4380])).
% 20.04/3.47 thf(zip_derived_cl10376, plain,
% 20.04/3.47 (((app @
% 20.04/3.47 (app @ (app @ (app @ nil @ (cons @ sk8 @ nil)) @ nil) @
% 20.04/3.47 (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl10375])).
% 20.04/3.47 thf(zip_derived_cl10393, plain,
% 20.04/3.47 ((~ (ssList @ (cons @ sk8 @ nil))
% 20.04/3.47 | ((app @
% 20.04/3.47 (app @ (app @ (cons @ sk8 @ nil) @ nil) @ (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2)))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl73, zip_derived_cl10376])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl10403, plain,
% 20.04/3.47 (((app @ (app @ (app @ (cons @ sk8 @ nil) @ nil) @ (cons @ sk9 @ nil)) @
% 20.04/3.47 sk10) != (sk2))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl10393, zip_derived_cl5548])).
% 20.04/3.47 thf(zip_derived_cl10410, plain,
% 20.04/3.47 ((~ (ssList @ (cons @ sk8 @ nil))
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 != (sk2)))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl72, zip_derived_cl10403])).
% 20.04/3.47 thf(zip_derived_cl5548, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 20.04/3.47 inference('demod', [status(thm)], [zip_derived_cl5547, zip_derived_cl7])).
% 20.04/3.47 thf(zip_derived_cl9986, plain,
% 20.04/3.47 (((app @ (app @ (cons @ sk11 @ nil) @ (cons @ sk12 @ nil)) @ sk13)
% 20.04/3.47 = (sk2))),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl9984, zip_derived_cl1620])).
% 20.04/3.47 thf(co1_19, conjecture,
% 20.04/3.47 (~( ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk4 ) ) ))).
% 20.04/3.47 thf(zf_stmt_17, negated_conjecture,
% 20.04/3.47 (( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 20.04/3.47 ( sk4 ) ) |
% 20.04/3.47 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 20.04/3.47 ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 20.04/3.47 ( sk4 ) )),
% 20.04/3.47 inference('cnf.neg', [status(esa)], [co1_19])).
% 20.04/3.47 thf(zip_derived_cl203, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk4))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ~ (ssItem @ X1)
% 20.04/3.47 | ~ (ssItem @ X0)
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 = (sk4)))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_17])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl3932, plain, (![X0 : $i]: (ssItem @ X0)),
% 20.04/3.47 inference('s_sup+', [status(thm)], [zip_derived_cl3799, zip_derived_cl8])).
% 20.04/3.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 20.04/3.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 20.04/3.47 thf(zip_derived_cl4384, plain,
% 20.04/3.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.04/3.47 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 20.04/3.47 | ~ (ssList @ X2)
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl203, zip_derived_cl189, zip_derived_cl3932,
% 20.04/3.47 zip_derived_cl3932, zip_derived_cl189])).
% 20.04/3.47 thf(zip_derived_cl10020, plain,
% 20.04/3.47 ((((sk2) != (sk2))
% 20.04/3.47 | ~ (ssList @ sk13)
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('s_sup-', [status(thm)],
% 20.04/3.47 [zip_derived_cl9986, zip_derived_cl4384])).
% 20.04/3.47 thf(zip_derived_cl9926, plain, ( (ssList @ sk13)),
% 20.04/3.47 inference('clc', [status(thm)], [zip_derived_cl9923, zip_derived_cl1618])).
% 20.04/3.47 thf(zip_derived_cl10059, plain,
% 20.04/3.47 ((((sk2) != (sk2))
% 20.04/3.47 | ((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 20.04/3.47 = (sk2)))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl10020, zip_derived_cl9926])).
% 20.04/3.47 thf(zip_derived_cl10060, plain,
% 20.04/3.47 (((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl10059])).
% 20.04/3.47 thf(zip_derived_cl10417, plain, (((sk2) != (sk2))),
% 20.04/3.47 inference('demod', [status(thm)],
% 20.04/3.47 [zip_derived_cl10410, zip_derived_cl5548, zip_derived_cl10060])).
% 20.04/3.47 thf(zip_derived_cl10418, plain, ($false),
% 20.04/3.47 inference('simplify', [status(thm)], [zip_derived_cl10417])).
% 20.04/3.47
% 20.04/3.47 % SZS output end Refutation
% 20.04/3.47
% 20.04/3.47
% 20.04/3.47 % Terminating...
% 20.58/3.59 % Runner terminated.
% 20.58/3.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------