%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC088-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4NVBvH18ID true
% Computer : n027.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 Oct 2 04:58:33 PM UTC 2025
% Result : Unsatisfiable 91.75s 13.86s
% Output : Refutation 91.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC088-1 : TPTP v9.2.0. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4NVBvH18ID true
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 17:07:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 91.75/13.86 % Solved by fo/fo6_bce.sh.
% 91.75/13.86 % BCE start: 195
% 91.75/13.86 % BCE eliminated: 0
% 91.75/13.86 % PE start: 195
% 91.75/13.86 logic: eq
% 91.75/13.86 % PE eliminated: 7
% 91.75/13.86 % done 4817 iterations in 13.141s
% 91.75/13.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 91.75/13.86 % SZS output start Refutation
% 91.75/13.86 thf(nil_type, type, nil: $i).
% 91.75/13.86 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 91.75/13.86 thf(cons_type, type, cons: $i > $i > $i).
% 91.75/13.86 thf(sk2_type, type, sk2: $i).
% 91.75/13.86 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 91.75/13.86 thf(sk4_type, type, sk4: $i).
% 91.75/13.86 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 91.75/13.86 thf(tl_type, type, tl: $i > $i).
% 91.75/13.86 thf(hd_type, type, hd: $i > $i).
% 91.75/13.86 thf(ssItem_type, type, ssItem: $i > $o).
% 91.75/13.86 thf(skaf82_type, type, skaf82: $i > $i).
% 91.75/13.86 thf(sk3_type, type, sk3: $i).
% 91.75/13.86 thf(skaf83_type, type, skaf83: $i > $i).
% 91.75/13.86 thf(neq_type, type, neq: $i > $i > $o).
% 91.75/13.86 thf(app_type, type, app: $i > $i > $i).
% 91.75/13.86 thf(ssList_type, type, ssList: $i > $o).
% 91.75/13.86 thf(sk1_type, type, sk1: $i).
% 91.75/13.86 thf(singletonP_type, type, singletonP: $i > $o).
% 91.75/13.86 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 91.75/13.86 thf(clause109, axiom,
% 91.75/13.86 (( ~( ssList @ U ) ) |
% 91.75/13.86 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 91.75/13.86 ( ( nil ) = ( U ) ))).
% 91.75/13.86 thf(zip_derived_cl108, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause109])).
% 91.75/13.86 thf(clause97, axiom,
% 91.75/13.86 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 91.75/13.86 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 91.75/13.86 thf(zip_derived_cl96, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause97])).
% 91.75/13.86 thf(zip_derived_cl1576, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssItem @ (skaf83 @ X0))
% 91.75/13.86 | ~ (ssList @ (skaf82 @ X0))
% 91.75/13.86 | ((hd @ X0) = (skaf83 @ X0)))),
% 91.75/13.86 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl96])).
% 91.75/13.86 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 91.75/13.86 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause12])).
% 91.75/13.86 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 91.75/13.86 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause13])).
% 91.75/13.86 thf(zip_derived_cl1581, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1576, zip_derived_cl11, zip_derived_cl12])).
% 91.75/13.86 thf(clause75, axiom,
% 91.75/13.86 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 91.75/13.86 thf(zip_derived_cl74, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause75])).
% 91.75/13.86 thf(clause104, axiom,
% 91.75/13.86 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 91.75/13.86 ( ( nil ) = ( U ) ))).
% 91.75/13.86 thf(zip_derived_cl103, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause104])).
% 91.75/13.86 thf(zip_derived_cl1581, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1576, zip_derived_cl11, zip_derived_cl12])).
% 91.75/13.86 thf(clause120, axiom,
% 91.75/13.86 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 91.75/13.86 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 91.75/13.86 thf(zip_derived_cl119, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause120])).
% 91.75/13.86 thf(co1_9, conjecture,
% 91.75/13.86 (~( ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 91.75/13.86 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 91.75/13.86 ( ~( ssItem @ A ) ) ))).
% 91.75/13.86 thf(zf_stmt_0, negated_conjecture,
% 91.75/13.86 (( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 91.75/13.86 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 91.75/13.86 ( ~( ssItem @ A ) )),
% 91.75/13.86 inference('cnf.neg', [status(esa)], [co1_9])).
% 91.75/13.86 thf(zip_derived_cl193, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((app @ (cons @ X0 @ nil) @ X1) != (sk4))
% 91.75/13.86 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk3))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssItem @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 91.75/13.86 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 91.75/13.86 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 91.75/13.86 inference('cnf.neg', [status(esa)], [co1_5])).
% 91.75/13.86 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 91.75/13.86 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 91.75/13.86 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 91.75/13.86 inference('cnf.neg', [status(esa)], [co1_6])).
% 91.75/13.86 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 91.75/13.86 thf(zip_derived_cl1467, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 91.75/13.86 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssItem @ X0))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl193, zip_derived_cl189, zip_derived_cl190])).
% 91.75/13.86 thf(zip_derived_cl1622, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssItem @ X1))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl119, zip_derived_cl1467])).
% 91.75/13.86 thf(zip_derived_cl1631, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1622])).
% 91.75/13.86 thf(clause85, axiom,
% 91.75/13.86 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 91.75/13.86 thf(zip_derived_cl84, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause85])).
% 91.75/13.86 thf(zip_derived_cl108, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause109])).
% 91.75/13.86 thf(zip_derived_cl108, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause109])).
% 91.75/13.86 thf(zip_derived_cl1631, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1622])).
% 91.75/13.86 thf(clause72, axiom,
% 91.75/13.86 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 91.75/13.86 thf(zip_derived_cl71, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause72])).
% 91.75/13.86 thf(clause179, axiom,
% 91.75/13.86 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 91.75/13.86 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 91.75/13.86 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 91.75/13.86 thf(zip_derived_cl178, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 91.75/13.86 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 91.75/13.86 | ~ (ssList @ X4)
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssItem @ X2)
% 91.75/13.86 | ~ (duplicatefreeP @ X0)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause179])).
% 91.75/13.86 thf(zip_derived_cl1359, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 91.75/13.86 ( (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssItem @ X3)
% 91.75/13.86 | ~ (ssList @ X5)
% 91.75/13.86 | ~ (ssList @ X4)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 91.75/13.86 inference('dp-resolution', [status(thm)],
% 91.75/13.86 [zip_derived_cl71, zip_derived_cl178])).
% 91.75/13.86 thf(zip_derived_cl3579, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 91.75/13.86 (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X4)
% 91.75/13.86 | ~ (ssList @ X5)
% 91.75/13.86 | ~ (ssItem @ X3)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (ssItem @ X1))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1359])).
% 91.75/13.86 thf(zip_derived_cl3588, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 91.75/13.86 (~ (ssList @ X3)
% 91.75/13.86 | ~ (ssItem @ X2)
% 91.75/13.86 | ((cons @ X2 @ X3) != (sk2))
% 91.75/13.86 | ((app @ sk1 @ (cons @ X2 @ X1)) != (X0))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | ~ (ssItem @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (ssItem @ X4))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl1631, zip_derived_cl3579])).
% 91.75/13.86 thf(clause8, axiom, (ssList @ nil)).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl3610, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 91.75/13.86 (~ (ssList @ X3)
% 91.75/13.86 | ~ (ssItem @ X2)
% 91.75/13.86 | ((cons @ X2 @ X3) != (sk2))
% 91.75/13.86 | ((app @ sk1 @ (cons @ X2 @ X1)) != (X0))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | ~ (ssItem @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (ssItem @ X4))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl3588, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl3611, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 91.75/13.86 ( (ssItem @ X4)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((app @ sk1 @ (cons @ X2 @ X1)) != (X0))
% 91.75/13.86 | ((cons @ X2 @ X3) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X2)
% 91.75/13.86 | ~ (ssList @ X3))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl3610])).
% 91.75/13.86 thf(zip_derived_cl4928, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 91.75/13.86 (((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | ((app @ sk1 @ (cons @ (skaf83 @ X0) @ X3)) != (X2))
% 91.75/13.86 | ((X0) != (sk2))
% 91.75/13.86 | ~ (ssItem @ (skaf83 @ X0))
% 91.75/13.86 | ~ (ssList @ (skaf82 @ X0)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl108, zip_derived_cl3611])).
% 91.75/13.86 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause12])).
% 91.75/13.86 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause13])).
% 91.75/13.86 thf(zip_derived_cl4933, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 91.75/13.86 (((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | ((app @ sk1 @ (cons @ (skaf83 @ X0) @ X3)) != (X2))
% 91.75/13.86 | ((X0) != (sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl4928, zip_derived_cl11, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl12343, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ sk1 @ (cons @ (skaf83 @ sk2) @ X0)) != (X1))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (ssItem @ X2)
% 91.75/13.86 | ~ (ssList @ sk2)
% 91.75/13.86 | ((nil) = (sk2)))),
% 91.75/13.86 inference('eq_res', [status(thm)], [zip_derived_cl4933])).
% 91.75/13.86 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 91.75/13.86 thf(zf_stmt_3, negated_conjecture, (ssList @ sk2),
% 91.75/13.86 inference('cnf.neg', [status(esa)], [co1_2])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl12344, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ sk1 @ (cons @ (skaf83 @ sk2) @ X0)) != (X1))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (ssItem @ X2)
% 91.75/13.86 | ((nil) = (sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl12343, zip_derived_cl186])).
% 91.75/13.86 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 91.75/13.86 thf(zf_stmt_4, negated_conjecture, (neq @ sk2 @ nil),
% 91.75/13.86 inference('cnf.neg', [status(esa)], [co1_7])).
% 91.75/13.86 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 91.75/13.86 thf(clause115, axiom,
% 91.75/13.86 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 91.75/13.86 ( ~( ssList @ U ) ))).
% 91.75/13.86 thf(zip_derived_cl114, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((X1) != (X0))
% 91.75/13.86 | ~ (neq @ X1 @ X0)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause115])).
% 91.75/13.86 thf(zip_derived_cl1371, plain,
% 91.75/13.86 ((~ (ssList @ sk2) | ~ (ssList @ nil) | ((sk2) != (nil)))),
% 91.75/13.86 inference('dp-resolution', [status(thm)],
% 91.75/13.86 [zip_derived_cl191, zip_derived_cl114])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl12345, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ sk1 @ (cons @ (skaf83 @ sk2) @ X0)) != (X1))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (ssItem @ X2))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl12344, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl14825, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 ( (ssItem @ X0)
% 91.75/13.86 | ~ (ssList @ (app @ sk1 @ (cons @ (skaf83 @ sk2) @ X1)))
% 91.75/13.86 | ~ (ssList @ X1))),
% 91.75/13.86 inference('eq_res', [status(thm)], [zip_derived_cl12345])).
% 91.75/13.86 thf(zip_derived_cl14853, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (sk2))
% 91.75/13.86 | ~ (ssList @ sk2)
% 91.75/13.86 | (ssItem @ X0)
% 91.75/13.86 | ~ (ssList @ (app @ sk1 @ sk2))
% 91.75/13.86 | ~ (ssList @ (skaf82 @ sk2)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl108, zip_derived_cl14825])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause13])).
% 91.75/13.86 thf(zip_derived_cl14863, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (sk2)) | (ssItem @ X0) | ~ (ssList @ (app @ sk1 @ sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl14853, zip_derived_cl186, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl14864, plain,
% 91.75/13.86 (![X0 : $i]: ( (ssItem @ X0) | ~ (ssList @ (app @ sk1 @ sk2)))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl14863, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl14871, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ sk1) | ~ (ssList @ sk2) | (ssItem @ X0))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl84, zip_derived_cl14864])).
% 91.75/13.86 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 91.75/13.86 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 91.75/13.86 inference('cnf.neg', [status(esa)], [co1_1])).
% 91.75/13.86 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl14873, plain, (![X0 : $i]: (ssItem @ X0)),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl14871, zip_derived_cl185, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl14950, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1631, zip_derived_cl14873])).
% 91.75/13.86 thf(clause86, axiom,
% 91.75/13.86 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 91.75/13.86 thf(zip_derived_cl85, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause86])).
% 91.75/13.86 thf(zip_derived_cl14873, plain, (![X0 : $i]: (ssItem @ X0)),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl14871, zip_derived_cl185, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl14891, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl14873])).
% 91.75/13.86 thf(zip_derived_cl108, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause109])).
% 91.75/13.86 thf(zip_derived_cl1631, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1622])).
% 91.75/13.86 thf(clause151, axiom,
% 91.75/13.86 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 91.75/13.86 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 91.75/13.86 thf(zip_derived_cl150, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((X2) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause151])).
% 91.75/13.86 thf(zip_derived_cl2256, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X2)
% 91.75/13.86 | ~ (ssItem @ X0)
% 91.75/13.86 | ((cons @ X0 @ X2) != (sk2))
% 91.75/13.86 | ((sk1) != (app @ X1 @ (cons @ X0 @ nil)))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((X2) = (X1)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl1631, zip_derived_cl150])).
% 91.75/13.86 thf(zip_derived_cl2282, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((X2) = (X1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ((sk1) != (app @ X1 @ (cons @ X0 @ nil)))
% 91.75/13.86 | ((cons @ X0 @ X2) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X0)
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl2256])).
% 91.75/13.86 thf(zip_derived_cl6410, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((skaf82 @ X0) = (X1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 91.75/13.86 | ((sk1) != (app @ X1 @ (cons @ (skaf83 @ X0) @ nil)))
% 91.75/13.86 | ((X0) != (sk2))
% 91.75/13.86 | ~ (ssItem @ (skaf83 @ X0))
% 91.75/13.86 | ~ (ssList @ (skaf82 @ X0)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl108, zip_derived_cl2282])).
% 91.75/13.86 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause12])).
% 91.75/13.86 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause13])).
% 91.75/13.86 thf(zip_derived_cl6417, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((skaf82 @ X0) = (X1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 91.75/13.86 | ((sk1) != (app @ X1 @ (cons @ (skaf83 @ X0) @ nil)))
% 91.75/13.86 | ((X0) != (sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl6410, zip_derived_cl11, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl28108, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 91.75/13.86 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((skaf82 @ sk2) = (X0))
% 91.75/13.86 | ~ (ssList @ sk2)
% 91.75/13.86 | ((nil) = (sk2)))),
% 91.75/13.86 inference('eq_res', [status(thm)], [zip_derived_cl6417])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl28109, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 91.75/13.86 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((skaf82 @ sk2) = (X0))
% 91.75/13.86 | ((nil) = (sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl28108, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl28110, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 91.75/13.86 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((skaf82 @ sk2) = (X0)))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl28109, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl28862, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ nil)
% 91.75/13.86 | ((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((skaf82 @ sk2) = (X0)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl14891, zip_derived_cl28110])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl28865, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((sk1) != (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((skaf82 @ sk2) = (X0)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl28862, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl32711, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ sk2) @ X0) != (sk2))
% 91.75/13.86 | ((sk1) != (sk1))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((skaf82 @ sk2) = (X0)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl14950, zip_derived_cl28865])).
% 91.75/13.86 thf(zip_derived_cl32728, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((skaf82 @ sk2) = (X0))
% 91.75/13.86 | ((cons @ (skaf83 @ sk2) @ X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl32711])).
% 91.75/13.86 thf(zip_derived_cl33159, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ sk2)
% 91.75/13.86 | ((nil) = (sk2))
% 91.75/13.86 | ((skaf82 @ sk2) = (X0))
% 91.75/13.86 | ((cons @ (hd @ sk2) @ X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl1581, zip_derived_cl32728])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl33165, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (sk2))
% 91.75/13.86 | ((skaf82 @ sk2) = (X0))
% 91.75/13.86 | ((cons @ (hd @ sk2) @ X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl33159, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl33166, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((skaf82 @ sk2) = (X0))
% 91.75/13.86 | ((cons @ (hd @ sk2) @ X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33165, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl33171, plain,
% 91.75/13.86 ((((nil) = (sk2))
% 91.75/13.86 | ~ (ssList @ sk2)
% 91.75/13.86 | ((skaf82 @ sk2) = (tl @ sk2))
% 91.75/13.86 | ((sk2) != (sk2))
% 91.75/13.86 | ~ (ssList @ (tl @ sk2)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl103, zip_derived_cl33166])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl33172, plain,
% 91.75/13.86 ((((nil) = (sk2))
% 91.75/13.86 | ((skaf82 @ sk2) = (tl @ sk2))
% 91.75/13.86 | ((sk2) != (sk2))
% 91.75/13.86 | ~ (ssList @ (tl @ sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl33171, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl33173, plain,
% 91.75/13.86 ((~ (ssList @ (tl @ sk2))
% 91.75/13.86 | ((skaf82 @ sk2) = (tl @ sk2))
% 91.75/13.86 | ((nil) = (sk2)))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl33172])).
% 91.75/13.86 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl33174, plain,
% 91.75/13.86 ((~ (ssList @ (tl @ sk2)) | ((skaf82 @ sk2) = (tl @ sk2)))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33173, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl33234, plain,
% 91.75/13.86 ((((nil) = (sk2)) | ~ (ssList @ sk2) | ((skaf82 @ sk2) = (tl @ sk2)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl74, zip_derived_cl33174])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl33235, plain,
% 91.75/13.86 ((((nil) = (sk2)) | ((skaf82 @ sk2) = (tl @ sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl33234, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl33236, plain, (((skaf82 @ sk2) = (tl @ sk2))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33235, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl108, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause109])).
% 91.75/13.86 thf(zip_derived_cl33250, plain,
% 91.75/13.86 ((~ (ssList @ sk2)
% 91.75/13.86 | ((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))
% 91.75/13.86 | ((nil) = (sk2)))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl33236, zip_derived_cl108])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl33258, plain,
% 91.75/13.86 ((((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2)) | ((nil) = (sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl33250, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl33259, plain,
% 91.75/13.86 (((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33258, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl33449, plain,
% 91.75/13.86 ((~ (ssList @ sk2)
% 91.75/13.86 | ((nil) = (sk2))
% 91.75/13.86 | ((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl1581, zip_derived_cl33259])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl33450, plain,
% 91.75/13.86 ((((nil) = (sk2)) | ((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl33449, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl33451, plain, (((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33450, zip_derived_cl1394])).
% 91.75/13.86 thf(clause57, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ U ))).
% 91.75/13.86 thf(zip_derived_cl56, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause57])).
% 91.75/13.86 thf(zip_derived_cl14891, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl14873])).
% 91.75/13.86 thf(zip_derived_cl33259, plain,
% 91.75/13.86 (((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33258, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl1631, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1622])).
% 91.75/13.86 thf(clause144, axiom,
% 91.75/13.86 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 91.75/13.86 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 91.75/13.86 thf(zip_derived_cl143, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ X1 @ X2) != (X0))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (frontsegP @ X0 @ X1))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause144])).
% 91.75/13.86 thf(zip_derived_cl2032, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X2)
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ((cons @ X1 @ X2) != (sk2))
% 91.75/13.86 | ((sk1) != (X0))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (frontsegP @ X0 @ X2))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl1631, zip_derived_cl143])).
% 91.75/13.86 thf(zip_derived_cl2053, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 ( (frontsegP @ X0 @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ((sk1) != (X0))
% 91.75/13.86 | ((cons @ X1 @ X2) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl2032])).
% 91.75/13.86 thf(zip_derived_cl5583, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ sk1)
% 91.75/13.86 | (frontsegP @ sk1 @ X0))),
% 91.75/13.86 inference('eq_res', [status(thm)], [zip_derived_cl2053])).
% 91.75/13.86 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.75/13.86 thf(zip_derived_cl5584, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | (frontsegP @ sk1 @ X0))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl5583, zip_derived_cl185])).
% 91.75/13.86 thf(zip_derived_cl14873, plain, (![X0 : $i]: (ssItem @ X0)),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl14871, zip_derived_cl185, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl16373, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ X1 @ X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | (frontsegP @ sk1 @ X0))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl5584, zip_derived_cl14873])).
% 91.75/13.86 thf(zip_derived_cl33377, plain,
% 91.75/13.86 ((~ (ssList @ (tl @ sk2))
% 91.75/13.86 | ((sk2) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 91.75/13.86 | (frontsegP @ sk1 @ (tl @ sk2)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33259, zip_derived_cl16373])).
% 91.75/13.86 thf(zip_derived_cl33236, plain, (((skaf82 @ sk2) = (tl @ sk2))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33235, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause13])).
% 91.75/13.86 thf(zip_derived_cl33249, plain, ( (ssList @ (tl @ sk2))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl33236, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl33477, plain,
% 91.75/13.86 ((((sk2) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 91.75/13.86 | (frontsegP @ sk1 @ (tl @ sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl33377, zip_derived_cl33249])).
% 91.75/13.86 thf(zip_derived_cl33478, plain,
% 91.75/13.86 (( (frontsegP @ sk1 @ (tl @ sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil)))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl33477])).
% 91.75/13.86 thf(zip_derived_cl36717, plain,
% 91.75/13.86 ((~ (ssList @ nil) | (frontsegP @ sk1 @ (tl @ sk2)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl14891, zip_derived_cl33478])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl36720, plain, ( (frontsegP @ sk1 @ (tl @ sk2))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl36717, zip_derived_cl7])).
% 91.75/13.86 thf(clause132, axiom,
% 91.75/13.86 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 91.75/13.86 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 91.75/13.86 thf(zip_derived_cl131, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (frontsegP @ X0 @ X1)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause132])).
% 91.75/13.86 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 91.75/13.86 thf(zip_derived_cl73, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause74])).
% 91.75/13.86 thf(clause173, axiom,
% 91.75/13.86 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 91.75/13.86 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 91.75/13.86 ( segmentP @ X @ V ))).
% 91.75/13.86 thf(zip_derived_cl172, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 91.75/13.86 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (segmentP @ X0 @ X2))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause173])).
% 91.75/13.86 thf(zip_derived_cl3020, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((app @ X0 @ X2) != (X1))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (segmentP @ X1 @ X0))),
% 91.75/13.86 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl3047, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((app @ X0 @ X2) != (X1))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (segmentP @ X1 @ X0))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl3020, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl3048, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 ( (segmentP @ X1 @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ((app @ X0 @ X2) != (X1))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl3047])).
% 91.75/13.86 thf(zip_derived_cl3091, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (frontsegP @ X0 @ X2)
% 91.75/13.86 | (segmentP @ X1 @ X2)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ (skaf45 @ X0 @ X2))
% 91.75/13.86 | ((X0) != (X1))
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl131, zip_derived_cl3048])).
% 91.75/13.86 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 91.75/13.86 thf(zip_derived_cl50, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause51])).
% 91.75/13.86 thf(zip_derived_cl3109, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (frontsegP @ X0 @ X2)
% 91.75/13.86 | (segmentP @ X1 @ X2)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((X0) != (X1))
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl3091, zip_derived_cl50])).
% 91.75/13.86 thf(zip_derived_cl3110, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((X0) != (X1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (segmentP @ X1 @ X2)
% 91.75/13.86 | ~ (frontsegP @ X0 @ X2)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl3109])).
% 91.75/13.86 thf(zip_derived_cl3162, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (frontsegP @ X0 @ X1)
% 91.75/13.86 | (segmentP @ X0 @ X1)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('eq_res', [status(thm)], [zip_derived_cl3110])).
% 91.75/13.86 thf(zip_derived_cl3163, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 ( (segmentP @ X0 @ X1)
% 91.75/13.86 | ~ (frontsegP @ X0 @ X1)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl3162])).
% 91.75/13.86 thf(clause152, axiom,
% 91.75/13.86 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 91.75/13.86 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 91.75/13.86 ( segmentP @ U @ W ))).
% 91.75/13.86 thf(zip_derived_cl151, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (segmentP @ X0 @ X1)
% 91.75/13.86 | ~ (segmentP @ X1 @ X2)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (segmentP @ X0 @ X2))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause152])).
% 91.75/13.86 thf(zip_derived_cl3292, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (frontsegP @ X1 @ X0)
% 91.75/13.86 | ~ (segmentP @ X0 @ X2)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (segmentP @ X1 @ X2))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl3163, zip_derived_cl151])).
% 91.75/13.86 thf(zip_derived_cl3299, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 ( (segmentP @ X1 @ X2)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (segmentP @ X0 @ X2)
% 91.75/13.86 | ~ (frontsegP @ X1 @ X0)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl3292])).
% 91.75/13.86 thf(zip_derived_cl36736, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 ( (segmentP @ sk1 @ X0)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (segmentP @ (tl @ sk2) @ X0)
% 91.75/13.86 | ~ (ssList @ (tl @ sk2))
% 91.75/13.86 | ~ (ssList @ sk1))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl36720, zip_derived_cl3299])).
% 91.75/13.86 thf(zip_derived_cl33249, plain, ( (ssList @ (tl @ sk2))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl33236, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.75/13.86 thf(zip_derived_cl36742, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 ( (segmentP @ sk1 @ X0)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (segmentP @ (tl @ sk2) @ X0))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl36736, zip_derived_cl33249, zip_derived_cl185])).
% 91.75/13.86 thf(zip_derived_cl36782, plain,
% 91.75/13.86 ((~ (ssList @ (tl @ sk2))
% 91.75/13.86 | (segmentP @ sk1 @ (tl @ sk2))
% 91.75/13.86 | ~ (ssList @ (tl @ sk2)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl56, zip_derived_cl36742])).
% 91.75/13.86 thf(zip_derived_cl33249, plain, ( (ssList @ (tl @ sk2))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl33236, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl33249, plain, ( (ssList @ (tl @ sk2))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl33236, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl36798, plain, ( (segmentP @ sk1 @ (tl @ sk2))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl36782, zip_derived_cl33249, zip_derived_cl33249])).
% 91.75/13.86 thf(clause100, axiom,
% 91.75/13.86 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 91.75/13.86 ( ( V ) = ( U ) ))).
% 91.75/13.86 thf(zip_derived_cl99, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause100])).
% 91.75/13.86 thf(co1_8, conjecture,
% 91.75/13.86 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 91.75/13.86 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) ))).
% 91.75/13.86 thf(zf_stmt_6, negated_conjecture,
% 91.75/13.86 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 91.75/13.86 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) )),
% 91.75/13.86 inference('cnf.neg', [status(esa)], [co1_8])).
% 91.75/13.86 thf(zip_derived_cl192, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (segmentP @ sk1 @ X0)
% 91.75/13.86 | ~ (segmentP @ sk2 @ X0)
% 91.75/13.86 | ~ (neq @ X0 @ nil)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_6])).
% 91.75/13.86 thf(zip_derived_cl1367, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((X0) = (nil))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (segmentP @ sk2 @ X0)
% 91.75/13.86 | ~ (segmentP @ sk1 @ X0))),
% 91.75/13.86 inference('dp-resolution', [status(thm)],
% 91.75/13.86 [zip_derived_cl99, zip_derived_cl192])).
% 91.75/13.86 thf(zip_derived_cl1439, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (segmentP @ sk1 @ X0)
% 91.75/13.86 | ~ (segmentP @ sk2 @ X0)
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((X0) = (nil)))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1367])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl1440, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (segmentP @ sk1 @ X0)
% 91.75/13.86 | ~ (segmentP @ sk2 @ X0)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((X0) = (nil)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl1439, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl36832, plain,
% 91.75/13.86 ((~ (segmentP @ sk2 @ (tl @ sk2))
% 91.75/13.86 | ~ (ssList @ (tl @ sk2))
% 91.75/13.86 | ((tl @ sk2) = (nil)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl36798, zip_derived_cl1440])).
% 91.75/13.86 thf(zip_derived_cl33249, plain, ( (ssList @ (tl @ sk2))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl33236, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl36840, plain,
% 91.75/13.86 ((~ (segmentP @ sk2 @ (tl @ sk2)) | ((tl @ sk2) = (nil)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl36832, zip_derived_cl33249])).
% 91.75/13.86 thf(zip_derived_cl14891, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl14873])).
% 91.75/13.86 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 91.75/13.86 thf(zip_derived_cl72, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause73])).
% 91.75/13.86 thf(zip_derived_cl33259, plain,
% 91.75/13.86 (((cons @ (skaf83 @ sk2) @ (tl @ sk2)) = (sk2))),
% 91.75/13.86 inference('simplify_reflect-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33258, zip_derived_cl1394])).
% 91.75/13.86 thf(zip_derived_cl14891, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl14873])).
% 91.75/13.86 thf(zip_derived_cl119, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause120])).
% 91.75/13.86 thf(clause149, axiom,
% 91.75/13.86 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 91.75/13.86 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 91.75/13.86 thf(zip_derived_cl148, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause149])).
% 91.75/13.86 thf(zip_derived_cl2199, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ((app @ (cons @ X1 @ X0) @ X2)
% 91.75/13.86 = (app @ (cons @ X1 @ nil) @ (app @ X0 @ X2))))),
% 91.75/13.86 inference('s_sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl148])).
% 91.75/13.86 thf(zip_derived_cl2215, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ (cons @ X1 @ X0) @ X2)
% 91.75/13.86 = (app @ (cons @ X1 @ nil) @ (app @ X0 @ X2)))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl2199])).
% 91.75/13.86 thf(zip_derived_cl14873, plain, (![X0 : $i]: (ssItem @ X0)),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl14871, zip_derived_cl185, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl29344, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ (cons @ X1 @ X0) @ X2)
% 91.75/13.86 = (app @ (cons @ X1 @ nil) @ (app @ X0 @ X2)))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl2215, zip_derived_cl14873])).
% 91.75/13.86 thf(zip_derived_cl148, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause149])).
% 91.75/13.86 thf(zip_derived_cl72, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause73])).
% 91.75/13.86 thf(zip_derived_cl150, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((X2) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause151])).
% 91.75/13.86 thf(zip_derived_cl2254, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((X0) != (app @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((X0) = (X1)))),
% 91.75/13.86 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl150])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl2278, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((X0) != (app @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((X0) = (X1)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl2254, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl2279, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((X0) = (X1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((X0) != (app @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl2278])).
% 91.75/13.86 thf(zip_derived_cl2349, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ((X2) = (app @ X1 @ X0))
% 91.75/13.86 | ~ (ssList @ (app @ X1 @ X0))
% 91.75/13.86 | ((X2) != (app @ X1 @ (app @ X0 @ nil)))
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl148, zip_derived_cl2279])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl2359, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((X2) = (app @ X1 @ X0))
% 91.75/13.86 | ~ (ssList @ (app @ X1 @ X0))
% 91.75/13.86 | ((X2) != (app @ X1 @ (app @ X0 @ nil)))
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl2349, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl84, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause85])).
% 91.75/13.86 thf(zip_derived_cl28772, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X2)
% 91.75/13.86 | ((X2) != (app @ X1 @ (app @ X0 @ nil)))
% 91.75/13.86 | ((X2) = (app @ X1 @ X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1))),
% 91.75/13.86 inference('clc', [status(thm)], [zip_derived_cl2359, zip_derived_cl84])).
% 91.75/13.86 thf(zip_derived_cl29410, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ((X2) != (app @ (cons @ X1 @ X0) @ nil))
% 91.75/13.86 | ((X2) = (app @ (cons @ X1 @ nil) @ X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl29344, zip_derived_cl28772])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl29605, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ((X2) != (app @ (cons @ X1 @ X0) @ nil))
% 91.75/13.86 | ((X2) = (app @ (cons @ X1 @ nil) @ X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl29410, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl29606, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((X2) = (app @ (cons @ X1 @ nil) @ X0))
% 91.75/13.86 | ((X2) != (app @ (cons @ X1 @ X0) @ nil))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl29605])).
% 91.75/13.86 thf(zip_derived_cl32449, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ nil)
% 91.75/13.86 | ((X1) = (app @ (cons @ X0 @ nil) @ X2))
% 91.75/13.86 | ((X1) != (app @ (cons @ X0 @ X2) @ nil))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl14891, zip_derived_cl29606])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl32454, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((X1) = (app @ (cons @ X0 @ nil) @ X2))
% 91.75/13.86 | ((X1) != (app @ (cons @ X0 @ X2) @ nil))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl32449, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl33382, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((X0) = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2)))
% 91.75/13.86 | ((X0) != (app @ sk2 @ nil))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ (tl @ sk2)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl33259, zip_derived_cl32454])).
% 91.75/13.86 thf(zip_derived_cl33249, plain, ( (ssList @ (tl @ sk2))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl33236, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl33483, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((X0) = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2)))
% 91.75/13.86 | ((X0) != (app @ sk2 @ nil))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl33382, zip_derived_cl33249])).
% 91.75/13.86 thf(zip_derived_cl44780, plain,
% 91.75/13.86 ((~ (ssList @ (app @ sk2 @ nil))
% 91.75/13.86 | ((app @ sk2 @ nil)
% 91.75/13.86 = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2))))),
% 91.75/13.86 inference('eq_res', [status(thm)], [zip_derived_cl33483])).
% 91.75/13.86 thf(zip_derived_cl44873, plain,
% 91.75/13.86 ((~ (ssList @ sk2)
% 91.75/13.86 | ~ (ssList @ sk2)
% 91.75/13.86 | ((sk2) = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2))))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl72, zip_derived_cl44780])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.86 thf(zip_derived_cl44878, plain,
% 91.75/13.86 (((sk2) = (app @ (cons @ (skaf83 @ sk2) @ nil) @ (tl @ sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl44873, zip_derived_cl186, zip_derived_cl186])).
% 91.75/13.86 thf(zip_derived_cl72, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause73])).
% 91.75/13.86 thf(zip_derived_cl148, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause149])).
% 91.75/13.86 thf(zip_derived_cl172, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 91.75/13.86 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (segmentP @ X0 @ X2))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause173])).
% 91.75/13.86 thf(zip_derived_cl3012, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 91.75/13.86 (~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | (segmentP @ X3 @ X1))),
% 91.75/13.86 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 91.75/13.86 thf(zip_derived_cl3036, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 91.75/13.86 ( (segmentP @ X3 @ X1)
% 91.75/13.86 | ~ (ssList @ X3)
% 91.75/13.86 | ((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl3012])).
% 91.75/13.86 thf(zip_derived_cl4297, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | (segmentP @ X1 @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((app @ X2 @ X0) != (X1))
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl3036])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl4317, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | (segmentP @ X1 @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((app @ X2 @ X0) != (X1))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X2))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl4297, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl4318, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X2)
% 91.75/13.86 | ((app @ X2 @ X0) != (X1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (segmentP @ X1 @ X0)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl4317])).
% 91.75/13.86 thf(zip_derived_cl4421, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | (segmentP @ (app @ X1 @ X0) @ X0)
% 91.75/13.86 | ~ (ssList @ (app @ X1 @ X0))
% 91.75/13.86 | ~ (ssList @ X1))),
% 91.75/13.86 inference('eq_res', [status(thm)], [zip_derived_cl4318])).
% 91.75/13.86 thf(zip_derived_cl84, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause85])).
% 91.75/13.86 thf(zip_derived_cl17296, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X1)
% 91.75/13.86 | (segmentP @ (app @ X1 @ X0) @ X0)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('clc', [status(thm)], [zip_derived_cl4421, zip_derived_cl84])).
% 91.75/13.86 thf(zip_derived_cl44908, plain,
% 91.75/13.86 ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 91.75/13.86 | (segmentP @ sk2 @ (tl @ sk2))
% 91.75/13.86 | ~ (ssList @ (tl @ sk2)))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl44878, zip_derived_cl17296])).
% 91.75/13.86 thf(zip_derived_cl33249, plain, ( (ssList @ (tl @ sk2))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl33236, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl45045, plain,
% 91.75/13.86 ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 91.75/13.86 | (segmentP @ sk2 @ (tl @ sk2)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl44908, zip_derived_cl33249])).
% 91.75/13.86 thf(zip_derived_cl50521, plain,
% 91.75/13.86 ((~ (ssList @ nil) | (segmentP @ sk2 @ (tl @ sk2)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl14891, zip_derived_cl45045])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl50524, plain, ( (segmentP @ sk2 @ (tl @ sk2))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl50521, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl50529, plain, (((tl @ sk2) = (nil))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl36840, zip_derived_cl50524])).
% 91.75/13.86 thf(zip_derived_cl50588, plain, (((cons @ (hd @ sk2) @ nil) = (sk2))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl33451, zip_derived_cl50529])).
% 91.75/13.86 thf(zip_derived_cl56, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause57])).
% 91.75/13.86 thf(zip_derived_cl1581, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1576, zip_derived_cl11, zip_derived_cl12])).
% 91.75/13.86 thf(zip_derived_cl108, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause109])).
% 91.75/13.86 thf(zip_derived_cl85, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause86])).
% 91.75/13.86 thf(zip_derived_cl119, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause120])).
% 91.75/13.86 thf(zip_derived_cl72, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause73])).
% 91.75/13.86 thf(clause150, axiom,
% 91.75/13.86 (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) |
% 91.75/13.86 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 91.75/13.86 thf(zip_derived_cl149, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (((app @ X0 @ X2) != (app @ X0 @ X1))
% 91.75/13.86 | ~ (ssList @ X2)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((X2) = (X1)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause150])).
% 91.75/13.86 thf(zip_derived_cl1496, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((X0) != (app @ X0 @ X1))
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((nil) = (X1)))),
% 91.75/13.86 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl149])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl1506, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((X0) != (app @ X0 @ X1))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((nil) = (X1)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl1496, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl1507, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((nil) = (X1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ((X0) != (app @ X0 @ X1))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1506])).
% 91.75/13.86 thf(zip_derived_cl1620, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((cons @ X1 @ nil) != (cons @ X1 @ X0))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl119, zip_derived_cl1507])).
% 91.75/13.86 thf(zip_derived_cl1629, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ((cons @ X1 @ nil) != (cons @ X1 @ X0))
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1620])).
% 91.75/13.86 thf(zip_derived_cl1632, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ nil)
% 91.75/13.86 | ~ (ssItem @ X0)
% 91.75/13.86 | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 91.75/13.86 | ((nil) = (X1))
% 91.75/13.86 | ~ (ssItem @ X0)
% 91.75/13.86 | ~ (ssList @ X1))),
% 91.75/13.86 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1629])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl1633, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X0)
% 91.75/13.86 | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 91.75/13.86 | ((nil) = (X1))
% 91.75/13.86 | ~ (ssItem @ X0)
% 91.75/13.86 | ~ (ssList @ X1))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl1632, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl1634, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssList @ X1)
% 91.75/13.86 | ((nil) = (X1))
% 91.75/13.86 | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 91.75/13.86 | ~ (ssItem @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1633])).
% 91.75/13.86 thf(zip_derived_cl1635, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (ssList @ (skaf82 @ X0))
% 91.75/13.86 | ((nil) = (skaf82 @ X0))
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ nil) != (X0))
% 91.75/13.86 | ~ (ssItem @ (skaf83 @ X0)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl108, zip_derived_cl1634])).
% 91.75/13.86 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause13])).
% 91.75/13.86 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause12])).
% 91.75/13.86 thf(zip_derived_cl1638, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((nil) = (skaf82 @ X0))
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ nil) != (X0)))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl1635, zip_derived_cl12, zip_derived_cl11])).
% 91.75/13.86 thf(zip_derived_cl1710, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((nil) = (skaf82 @ X0))
% 91.75/13.86 | ((cons @ (hd @ X0) @ nil) != (X0)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl1581, zip_derived_cl1638])).
% 91.75/13.86 thf(zip_derived_cl1711, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((cons @ (hd @ X0) @ nil) != (X0))
% 91.75/13.86 | ((nil) = (skaf82 @ X0))
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1710])).
% 91.75/13.86 thf(zip_derived_cl108, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause109])).
% 91.75/13.86 thf(zip_derived_cl1713, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ((cons @ (hd @ X0) @ nil) != (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((cons @ (skaf83 @ X0) @ nil) = (X0))
% 91.75/13.86 | ((nil) = (X0)))),
% 91.75/13.86 inference('s_sup+', [status(thm)],
% 91.75/13.86 [zip_derived_cl1711, zip_derived_cl108])).
% 91.75/13.86 thf(zip_derived_cl1719, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((cons @ (skaf83 @ X0) @ nil) = (X0))
% 91.75/13.86 | ((cons @ (hd @ X0) @ nil) != (X0))
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl1713])).
% 91.75/13.86 thf(zip_derived_cl72, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause73])).
% 91.75/13.86 thf(zip_derived_cl1467, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 91.75/13.86 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | ~ (ssItem @ X0))),
% 91.75/13.86 inference('demod', [status(thm)],
% 91.75/13.86 [zip_derived_cl193, zip_derived_cl189, zip_derived_cl190])).
% 91.75/13.86 thf(zip_derived_cl1469, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ((cons @ X0 @ nil) != (sk2))
% 91.75/13.86 | ((app @ nil @ (cons @ X0 @ nil)) = (sk1))
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ~ (ssItem @ X0))),
% 91.75/13.86 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl1467])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl1471, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ((cons @ X0 @ nil) != (sk2))
% 91.75/13.86 | ((app @ nil @ (cons @ X0 @ nil)) = (sk1))
% 91.75/13.86 | ~ (ssItem @ X0))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl1469, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl4318, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.75/13.86 (~ (ssList @ X2)
% 91.75/13.86 | ((app @ X2 @ X0) != (X1))
% 91.75/13.86 | ~ (ssList @ X1)
% 91.75/13.86 | (segmentP @ X1 @ X0)
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl4317])).
% 91.75/13.86 thf(zip_derived_cl4411, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X1)
% 91.75/13.86 | ((cons @ X1 @ nil) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ nil)
% 91.75/13.86 | ((sk1) != (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (segmentP @ X0 @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl1471, zip_derived_cl4318])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl4431, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (~ (ssItem @ X1)
% 91.75/13.86 | ((cons @ X1 @ nil) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ((sk1) != (X0))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (segmentP @ X0 @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl4411, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl4432, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 ( (segmentP @ X0 @ (cons @ X1 @ nil))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((sk1) != (X0))
% 91.75/13.86 | ~ (ssList @ (cons @ X1 @ nil))
% 91.75/13.86 | ((cons @ X1 @ nil) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X1))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl4431])).
% 91.75/13.86 thf(zip_derived_cl1440, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (segmentP @ sk1 @ X0)
% 91.75/13.86 | ~ (segmentP @ sk2 @ X0)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ((X0) = (nil)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl1439, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl8713, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssItem @ X0)
% 91.75/13.86 | ((cons @ X0 @ nil) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ((sk1) != (sk1))
% 91.75/13.86 | ~ (ssList @ sk1)
% 91.75/13.86 | ~ (segmentP @ sk2 @ (cons @ X0 @ nil))
% 91.75/13.86 | ~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ((cons @ X0 @ nil) = (nil)))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl4432, zip_derived_cl1440])).
% 91.75/13.86 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 91.75/13.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 91.75/13.86 thf(zip_derived_cl8733, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssItem @ X0)
% 91.75/13.86 | ((cons @ X0 @ nil) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ((sk1) != (sk1))
% 91.75/13.86 | ~ (segmentP @ sk2 @ (cons @ X0 @ nil))
% 91.75/13.86 | ~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ((cons @ X0 @ nil) = (nil)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl8713, zip_derived_cl185])).
% 91.75/13.86 thf(zip_derived_cl8734, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (((cons @ X0 @ nil) = (nil))
% 91.75/13.86 | ~ (segmentP @ sk2 @ (cons @ X0 @ nil))
% 91.75/13.86 | ~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ((cons @ X0 @ nil) != (sk2))
% 91.75/13.86 | ~ (ssItem @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl8733])).
% 91.75/13.86 thf(clause116, axiom,
% 91.75/13.86 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 91.75/13.86 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 91.75/13.86 thf(zip_derived_cl115, plain,
% 91.75/13.86 (![X0 : $i, X1 : $i]:
% 91.75/13.86 (((cons @ X1 @ nil) != (X0))
% 91.75/13.86 | ~ (ssItem @ X1)
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | (singletonP @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause116])).
% 91.75/13.86 thf(clause11, axiom, (~( singletonP @ nil ))).
% 91.75/13.86 thf(zip_derived_cl10, plain, (~ (singletonP @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause11])).
% 91.75/13.86 thf(zip_derived_cl1355, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ nil) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 91.75/13.86 inference('dp-resolution', [status(thm)],
% 91.75/13.86 [zip_derived_cl115, zip_derived_cl10])).
% 91.75/13.86 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 91.75/13.86 inference('cnf', [status(esa)], [clause8])).
% 91.75/13.86 thf(zip_derived_cl1399, plain,
% 91.75/13.86 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (nil)))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl1355, zip_derived_cl7])).
% 91.75/13.86 thf(zip_derived_cl8791, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssItem @ X0)
% 91.75/13.86 | ((cons @ X0 @ nil) != (sk2))
% 91.75/13.86 | ~ (ssList @ (cons @ X0 @ nil))
% 91.75/13.86 | ~ (segmentP @ sk2 @ (cons @ X0 @ nil)))),
% 91.75/13.86 inference('clc', [status(thm)], [zip_derived_cl8734, zip_derived_cl1399])).
% 91.75/13.86 thf(zip_derived_cl8792, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ((cons @ (hd @ X0) @ nil) != (X0))
% 91.75/13.86 | ~ (ssItem @ (skaf83 @ X0))
% 91.75/13.86 | ((X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (segmentP @ sk2 @ X0))),
% 91.75/13.86 inference('s_sup-', [status(thm)],
% 91.75/13.86 [zip_derived_cl1719, zip_derived_cl8791])).
% 91.75/13.86 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 91.75/13.86 inference('cnf', [status(esa)], [clause12])).
% 91.75/13.86 thf(zip_derived_cl8796, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (ssList @ X0)
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ((cons @ (hd @ X0) @ nil) != (X0))
% 91.75/13.86 | ((X0) != (sk2))
% 91.75/13.86 | ~ (ssList @ X0)
% 91.75/13.86 | ~ (segmentP @ sk2 @ X0))),
% 91.75/13.86 inference('demod', [status(thm)], [zip_derived_cl8792, zip_derived_cl11])).
% 91.75/13.86 thf(zip_derived_cl8797, plain,
% 91.75/13.86 (![X0 : $i]:
% 91.75/13.86 (~ (segmentP @ sk2 @ X0)
% 91.75/13.86 | ((X0) != (sk2))
% 91.75/13.86 | ((cons @ (hd @ X0) @ nil) != (X0))
% 91.75/13.86 | ((nil) = (X0))
% 91.75/13.86 | ~ (ssList @ X0))),
% 91.75/13.86 inference('simplify', [status(thm)], [zip_derived_cl8796])).
% 91.75/13.86 thf(zip_derived_cl9427, plain,
% 91.75/13.86 ((~ (ssList @ sk2)
% 91.75/13.86 | ((nil) = (sk2))
% 91.75/13.86 | ((cons @ (hd @ sk2) @ nil) != (sk2))
% 91.75/13.86 | ~ (segmentP @ sk2 @ sk2))),
% 91.75/13.86 inference('eq_res', [status(thm)], [zip_derived_cl8797])).
% 91.75/13.86 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.87 thf(zip_derived_cl9428, plain,
% 91.75/13.87 ((((nil) = (sk2))
% 91.75/13.87 | ((cons @ (hd @ sk2) @ nil) != (sk2))
% 91.75/13.87 | ~ (segmentP @ sk2 @ sk2))),
% 91.75/13.87 inference('demod', [status(thm)], [zip_derived_cl9427, zip_derived_cl186])).
% 91.75/13.87 thf(zip_derived_cl1394, plain, (((sk2) != (nil))),
% 91.75/13.87 inference('demod', [status(thm)],
% 91.75/13.87 [zip_derived_cl1371, zip_derived_cl186, zip_derived_cl7])).
% 91.75/13.87 thf(zip_derived_cl9429, plain,
% 91.75/13.87 ((((cons @ (hd @ sk2) @ nil) != (sk2)) | ~ (segmentP @ sk2 @ sk2))),
% 91.75/13.87 inference('simplify_reflect-', [status(thm)],
% 91.75/13.87 [zip_derived_cl9428, zip_derived_cl1394])).
% 91.75/13.87 thf(zip_derived_cl9430, plain,
% 91.75/13.87 ((~ (ssList @ sk2) | ((cons @ (hd @ sk2) @ nil) != (sk2)))),
% 91.75/13.87 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl9429])).
% 91.75/13.87 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 91.75/13.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 91.75/13.87 thf(zip_derived_cl9434, plain, (((cons @ (hd @ sk2) @ nil) != (sk2))),
% 91.75/13.87 inference('demod', [status(thm)], [zip_derived_cl9430, zip_derived_cl186])).
% 91.75/13.87 thf(zip_derived_cl50589, plain, ($false),
% 91.75/13.87 inference('simplify_reflect-', [status(thm)],
% 91.75/13.87 [zip_derived_cl50588, zip_derived_cl9434])).
% 91.75/13.87
% 91.75/13.87 % SZS output end Refutation
% 91.75/13.87
% 91.75/13.87
% 91.75/13.87 % Terminating...
% 92.82/13.97 % Runner terminated.
% 92.82/13.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------