%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC117-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LqaiXXd3zc true
% Computer : n013.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 04:58:40 PM UTC 2025
% Result : Unsatisfiable 122.25s 18.05s
% Output : Refutation 122.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC117-1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LqaiXXd3zc true
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:11:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 122.25/18.05 % Solved by fo/fo5.sh.
% 122.25/18.05 % done 16546 iterations in 17.237s
% 122.25/18.05 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 122.25/18.05 % SZS output start Refutation
% 122.25/18.05 thf(nil_type, type, nil: $i).
% 122.25/18.05 thf(cons_type, type, cons: $i > $i > $i).
% 122.25/18.05 thf(sk2_type, type, sk2: $i).
% 122.25/18.05 thf(equalelemsP_type, type, equalelemsP: $i > $o).
% 122.25/18.05 thf(sk4_type, type, sk4: $i).
% 122.25/18.05 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 122.25/18.05 thf(tl_type, type, tl: $i > $i).
% 122.25/18.05 thf(skac3_type, type, skac3: $i).
% 122.25/18.05 thf(hd_type, type, hd: $i > $i).
% 122.25/18.05 thf(ssItem_type, type, ssItem: $i > $o).
% 122.25/18.05 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 122.25/18.05 thf(skaf44_type, type, skaf44: $i > $i).
% 122.25/18.05 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 122.25/18.05 thf(sk3_type, type, sk3: $i).
% 122.25/18.05 thf(neq_type, type, neq: $i > $i > $o).
% 122.25/18.05 thf(app_type, type, app: $i > $i > $i).
% 122.25/18.05 thf(ssList_type, type, ssList: $i > $o).
% 122.25/18.05 thf(sk1_type, type, sk1: $i).
% 122.25/18.05 thf(singletonP_type, type, singletonP: $i > $o).
% 122.25/18.05 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 122.25/18.05 thf(clause85, axiom,
% 122.25/18.05 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 122.25/18.05 thf(zip_derived_cl84, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause85])).
% 122.25/18.05 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl72, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause73])).
% 122.25/18.05 thf(clause100, axiom,
% 122.25/18.05 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 122.25/18.05 ( ( V ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl99, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause100])).
% 122.25/18.05 thf(clause8, axiom, (ssList @ nil)).
% 122.25/18.05 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 122.25/18.05 inference('cnf', [status(esa)], [clause8])).
% 122.25/18.05 thf(zip_derived_cl707, plain,
% 122.25/18.05 (![X0 : $i]: (((X0) = (nil)) | (neq @ X0 @ nil) | ~ (ssList @ X0))),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl7])).
% 122.25/18.05 thf(co1_11, conjecture,
% 122.25/18.05 (~( ( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) ))).
% 122.25/18.05 thf(zf_stmt_0, negated_conjecture,
% 122.25/18.05 (( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) )),
% 122.25/18.05 inference('cnf.neg', [status(esa)], [co1_11])).
% 122.25/18.05 thf(zip_derived_cl195, plain,
% 122.25/18.05 ((~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil))),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 122.25/18.05 thf(co1_7, conjecture, (~( segmentP @ sk4 @ sk3 ))).
% 122.25/18.05 thf(zf_stmt_1, negated_conjecture, (segmentP @ sk4 @ sk3),
% 122.25/18.05 inference('cnf.neg', [status(esa)], [co1_7])).
% 122.25/18.05 thf(zip_derived_cl191, plain, ( (segmentP @ sk4 @ sk3)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 122.25/18.05 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 122.25/18.05 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 122.25/18.05 inference('cnf.neg', [status(esa)], [co1_5])).
% 122.25/18.05 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 122.25/18.05 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 122.25/18.05 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 122.25/18.05 inference('cnf.neg', [status(esa)], [co1_6])).
% 122.25/18.05 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 122.25/18.05 thf(zip_derived_cl199, plain, ( (segmentP @ sk2 @ sk1)),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 122.25/18.05 thf(zip_derived_cl200, plain, (~ (neq @ sk1 @ nil)),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl199])).
% 122.25/18.05 thf(zip_derived_cl1607, plain, ((~ (ssList @ sk1) | ((sk1) = (nil)))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl707, zip_derived_cl200])).
% 122.25/18.05 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 122.25/18.05 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 122.25/18.05 inference('cnf.neg', [status(esa)], [co1_1])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1635, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ sk1) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl1635, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ sk1) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl1610])).
% 122.25/18.05 thf(clause59, axiom, (( ~( ssList @ U ) ) | ( rearsegP @ U @ U ))).
% 122.25/18.05 thf(zip_derived_cl58, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ X0))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause59])).
% 122.25/18.05 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 122.25/18.05 thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 122.25/18.05 inference('cnf.neg', [status(esa)], [co1_2])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl230, plain, ( (rearsegP @ sk2 @ sk2)),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl186])).
% 122.25/18.05 thf(clause131, axiom,
% 122.25/18.05 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 122.25/18.05 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl130, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (rearsegP @ X0 @ X1)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause131])).
% 122.25/18.05 thf(zip_derived_cl2140, plain,
% 122.25/18.05 ((((app @ (skaf46 @ sk2 @ sk2) @ sk2) = (sk2))
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ sk2))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl230, zip_derived_cl130])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl2145, plain,
% 122.25/18.05 (((app @ (skaf46 @ sk2 @ sk2) @ sk2) = (sk2))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl2140, zip_derived_cl186, zip_derived_cl186])).
% 122.25/18.05 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl73, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause74])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1636, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | ((app @ sk1 @ X0) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl2145, plain,
% 122.25/18.05 (((app @ (skaf46 @ sk2 @ sk2) @ sk2) = (sk2))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl2140, zip_derived_cl186, zip_derived_cl186])).
% 122.25/18.05 thf(clause151, axiom,
% 122.25/18.05 (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) |
% 122.25/18.05 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 122.25/18.05 thf(zip_derived_cl150, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (((app @ X2 @ X1) != (app @ X0 @ X1))
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((X2) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause151])).
% 122.25/18.05 thf(zip_derived_cl2496, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (((sk2) != (app @ X0 @ sk2))
% 122.25/18.05 | ((skaf46 @ sk2 @ sk2) = (X0))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ (skaf46 @ sk2 @ sk2)))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl2145, zip_derived_cl150])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 122.25/18.05 thf(zip_derived_cl49, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause50])).
% 122.25/18.05 thf(zip_derived_cl2513, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (((sk2) != (app @ X0 @ sk2))
% 122.25/18.05 | ((skaf46 @ sk2 @ sk2) = (X0))
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl2496, zip_derived_cl186, zip_derived_cl49])).
% 122.25/18.05 thf(zip_derived_cl2543, plain,
% 122.25/18.05 ((((sk2) != (sk2))
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ sk1)
% 122.25/18.05 | ((skaf46 @ sk2 @ sk2) = (sk1)))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl1636, zip_derived_cl2513])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl2548, plain,
% 122.25/18.05 ((((sk2) != (sk2)) | ((skaf46 @ sk2 @ sk2) = (sk1)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl2543, zip_derived_cl186, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl2549, plain, (((skaf46 @ sk2 @ sk2) = (sk1))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl2548])).
% 122.25/18.05 thf(zip_derived_cl2550, plain, (((app @ sk1 @ sk2) = (sk2))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl2145, zip_derived_cl2549])).
% 122.25/18.05 thf(clause173, axiom,
% 122.25/18.05 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 122.25/18.05 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 122.25/18.05 ( segmentP @ X @ V ))).
% 122.25/18.05 thf(zip_derived_cl172, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.25/18.05 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 122.25/18.05 | ~ (ssList @ X3)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | (segmentP @ X0 @ X2))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause173])).
% 122.25/18.05 thf(zip_derived_cl3873, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((app @ sk2 @ X1) != (X0))
% 122.25/18.05 | (segmentP @ X0 @ sk2)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ sk1)
% 122.25/18.05 | ~ (ssList @ X1))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl2550, zip_derived_cl172])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl3894, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((app @ sk2 @ X1) != (X0))
% 122.25/18.05 | (segmentP @ X0 @ sk2)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl3873, zip_derived_cl186, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl4020, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ (app @ sk2 @ X0))
% 122.25/18.05 | (segmentP @ (app @ sk2 @ X0) @ sk2))),
% 122.25/18.05 inference('eq_res', [status(thm)], [zip_derived_cl3894])).
% 122.25/18.05 thf(zip_derived_cl4035, plain,
% 122.25/18.05 ((~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | (segmentP @ (app @ sk2 @ sk1) @ sk2)
% 122.25/18.05 | ~ (ssList @ sk1))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl1635, zip_derived_cl4020])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl4038, plain, ( (segmentP @ (app @ sk2 @ sk1) @ sk2)),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl4035, zip_derived_cl186, zip_derived_cl186,
% 122.25/18.05 zip_derived_cl185])).
% 122.25/18.05 thf(clause127, axiom,
% 122.25/18.05 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ U ) ) |
% 122.25/18.05 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl126, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (segmentP @ X0 @ X1)
% 122.25/18.05 | ~ (segmentP @ X1 @ X0)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((X1) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause127])).
% 122.25/18.05 thf(zip_derived_cl4039, plain,
% 122.25/18.05 ((((sk2) = (app @ sk2 @ sk1))
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ (app @ sk2 @ sk1))
% 122.25/18.05 | ~ (segmentP @ sk2 @ (app @ sk2 @ sk1)))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl4038, zip_derived_cl126])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl4045, plain,
% 122.25/18.05 ((((sk2) = (app @ sk2 @ sk1))
% 122.25/18.05 | ~ (ssList @ (app @ sk2 @ sk1))
% 122.25/18.05 | ~ (segmentP @ sk2 @ (app @ sk2 @ sk1)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl4039, zip_derived_cl186])).
% 122.25/18.05 thf(zip_derived_cl4079, plain,
% 122.25/18.05 ((~ (segmentP @ sk2 @ sk2)
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ (app @ sk2 @ sk1))
% 122.25/18.05 | ((sk2) = (app @ sk2 @ sk1)))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl1635, zip_derived_cl4045])).
% 122.25/18.05 thf(zip_derived_cl1635, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ sk1) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl3894, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((app @ sk2 @ X1) != (X0))
% 122.25/18.05 | (segmentP @ X0 @ sk2)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl3873, zip_derived_cl186, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl4019, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (((sk2) != (X0))
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ sk1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | (segmentP @ X0 @ sk2))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl1635, zip_derived_cl3894])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl4021, plain,
% 122.25/18.05 (![X0 : $i]: (((sk2) != (X0)) | ~ (ssList @ X0) | (segmentP @ X0 @ sk2))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl4019, zip_derived_cl186, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl4022, plain,
% 122.25/18.05 (( (segmentP @ sk2 @ sk2) | ~ (ssList @ sk2))),
% 122.25/18.05 inference('eq_res', [status(thm)], [zip_derived_cl4021])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl4023, plain, ( (segmentP @ sk2 @ sk2)),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl4022, zip_derived_cl186])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl4080, plain,
% 122.25/18.05 ((~ (ssList @ (app @ sk2 @ sk1)) | ((sk2) = (app @ sk2 @ sk1)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl4079, zip_derived_cl4023, zip_derived_cl186])).
% 122.25/18.05 thf(zip_derived_cl4081, plain,
% 122.25/18.05 ((~ (ssList @ sk2) | ~ (ssList @ sk1) | ((sk2) = (app @ sk2 @ sk1)))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4080])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl4083, plain, (((sk2) = (app @ sk2 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl4081, zip_derived_cl186, zip_derived_cl185])).
% 122.25/18.05 thf(clause123, axiom,
% 122.25/18.05 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 122.25/18.05 ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 122.25/18.05 thf(zip_derived_cl122, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((nil) = (X1))
% 122.25/18.05 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause123])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1806, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((sk1) = (X1))
% 122.25/18.05 | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl122, zip_derived_cl1610])).
% 122.25/18.05 thf(clause104, axiom,
% 122.25/18.05 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 122.25/18.05 ( ( nil ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl103, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 122.25/18.05 | ((nil) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause104])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1667, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 122.25/18.05 | ((sk1) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl1807, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1))
% 122.25/18.05 | ((sk1) = (X0))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((sk1) = (app @ X0 @ X1))
% 122.25/18.05 | ~ (ssList @ (app @ X0 @ X1)))),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl1806, zip_derived_cl1667])).
% 122.25/18.05 thf(clause118, axiom,
% 122.25/18.05 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 122.25/18.05 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl117, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((app @ X0 @ X1) != (nil))
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((nil) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause118])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1650, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((app @ X0 @ X1) != (sk1))
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((sk1) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl117, zip_derived_cl1610, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl19063, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ (app @ X0 @ X1))
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((sk1) = (X0))
% 122.25/18.05 | ((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1)))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl1807, zip_derived_cl1650])).
% 122.25/18.05 thf(zip_derived_cl84, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause85])).
% 122.25/18.05 thf(zip_derived_cl19064, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1))
% 122.25/18.05 | ((sk1) = (X0))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl19063, zip_derived_cl84])).
% 122.25/18.05 thf(zip_derived_cl19150, plain,
% 122.25/18.05 ((((cons @ (hd @ sk2) @ (tl @ sk2)) = (app @ sk2 @ sk1))
% 122.25/18.05 | ~ (ssList @ sk1)
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ((sk1) = (sk2)))),
% 122.25/18.05 inference('sup+', [status(thm)],
% 122.25/18.05 [zip_derived_cl4083, zip_derived_cl19064])).
% 122.25/18.05 thf(zip_derived_cl4083, plain, (((sk2) = (app @ sk2 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl4081, zip_derived_cl186, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl19175, plain,
% 122.25/18.05 ((((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)) | ((sk1) = (sk2)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl19150, zip_derived_cl4083, zip_derived_cl185,
% 122.25/18.05 zip_derived_cl186])).
% 122.25/18.05 thf(co1_10, conjecture,
% 122.25/18.05 (~( ( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) ) ))).
% 122.25/18.05 thf(zf_stmt_6, negated_conjecture,
% 122.25/18.05 (( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) )),
% 122.25/18.05 inference('cnf.neg', [status(esa)], [co1_10])).
% 122.25/18.05 thf(zip_derived_cl194, plain, ((((nil) != (sk1)) | ((nil) != (sk2)))),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1653, plain, ((((sk1) != (sk1)) | ((sk1) != (sk2)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl194, zip_derived_cl1610, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl1654, plain, (((sk1) != (sk2))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl1653])).
% 122.25/18.05 thf(zip_derived_cl19176, plain, (((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2))),
% 122.25/18.05 inference('simplify_reflect-', [status(thm)],
% 122.25/18.05 [zip_derived_cl19175, zip_derived_cl1654])).
% 122.25/18.05 thf(clause120, axiom,
% 122.25/18.05 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 122.25/18.05 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 122.25/18.05 thf(zip_derived_cl119, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause120])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1764, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((app @ (cons @ X0 @ sk1) @ X1) = (cons @ X0 @ X1)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl58, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ X0))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause59])).
% 122.25/18.05 thf(zip_derived_cl130, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (rearsegP @ X0 @ X1)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause131])).
% 122.25/18.05 thf(zip_derived_cl2137, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ((app @ (skaf46 @ X0 @ X0) @ X0) = (X0))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl130])).
% 122.25/18.05 thf(zip_derived_cl2141, plain,
% 122.25/18.05 (![X0 : $i]: (((app @ (skaf46 @ X0 @ X0) @ X0) = (X0)) | ~ (ssList @ X0))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl2137])).
% 122.25/18.05 thf(zip_derived_cl172, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.25/18.05 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 122.25/18.05 | ~ (ssList @ X3)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | (segmentP @ X0 @ X2))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause173])).
% 122.25/18.05 thf(zip_derived_cl6694, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (((app @ X0 @ X2) != (X1))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | (segmentP @ X1 @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ (skaf46 @ X0 @ X0))
% 122.25/18.05 | ~ (ssList @ X2))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl2141, zip_derived_cl172])).
% 122.25/18.05 thf(zip_derived_cl49, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause50])).
% 122.25/18.05 thf(zip_derived_cl6776, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (((app @ X0 @ X2) != (X1))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | (segmentP @ X1 @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X2))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl6694, zip_derived_cl49])).
% 122.25/18.05 thf(zip_derived_cl6777, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssList @ X2)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | (segmentP @ X1 @ X0)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((app @ X0 @ X2) != (X1)))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl6776])).
% 122.25/18.05 thf(zip_derived_cl6826, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (((cons @ X1 @ X0) != (X2))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ sk1))
% 122.25/18.05 | (segmentP @ X2 @ (cons @ X1 @ sk1))
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl1764, zip_derived_cl6777])).
% 122.25/18.05 thf(zip_derived_cl6848, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssList @ X2)
% 122.25/18.05 | (segmentP @ X2 @ (cons @ X1 @ sk1))
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ sk1))
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((cons @ X1 @ X0) != (X2)))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl6826])).
% 122.25/18.05 thf(clause145, axiom,
% 122.25/18.05 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 122.25/18.05 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 122.25/18.05 thf(zip_derived_cl144, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((nil) != (X0))
% 122.25/18.05 | ((nil) != (X1))
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((app @ X0 @ X1) = (nil)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause145])).
% 122.25/18.05 thf(zip_derived_cl572, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (((app @ nil @ X0) = (nil))
% 122.25/18.05 | ~ (ssList @ nil)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((nil) != (X0)))),
% 122.25/18.05 inference('eq_res', [status(thm)], [zip_derived_cl144])).
% 122.25/18.05 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 122.25/18.05 inference('cnf', [status(esa)], [clause8])).
% 122.25/18.05 thf(zip_derived_cl573, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (((app @ nil @ X0) = (nil)) | ~ (ssList @ X0) | ((nil) != (X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl572, zip_derived_cl7])).
% 122.25/18.05 thf(zip_derived_cl586, plain,
% 122.25/18.05 ((~ (ssList @ nil) | ((app @ nil @ nil) = (nil)))),
% 122.25/18.05 inference('eq_res', [status(thm)], [zip_derived_cl573])).
% 122.25/18.05 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 122.25/18.05 inference('cnf', [status(esa)], [clause8])).
% 122.25/18.05 thf(zip_derived_cl587, plain, (((app @ nil @ nil) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl586, zip_derived_cl7])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1662, plain, (((app @ sk1 @ sk1) = (sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl587, zip_derived_cl1610, zip_derived_cl1610,
% 122.25/18.05 zip_derived_cl1610])).
% 122.25/18.05 thf(clause157, axiom,
% 122.25/18.05 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 122.25/18.05 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 122.25/18.05 thf(zip_derived_cl156, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssItem @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause157])).
% 122.25/18.05 thf(zip_derived_cl84, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause85])).
% 122.25/18.05 thf(zip_derived_cl2811, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssItem @ X2)
% 122.25/18.05 | ~ (ssList @ (cons @ X2 @ X1))
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 122.25/18.05 thf(zip_derived_cl2835, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssList @ (cons @ X2 @ X1))
% 122.25/18.05 | ~ (ssItem @ X2)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl2811])).
% 122.25/18.05 thf(clause86, axiom,
% 122.25/18.05 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(zip_derived_cl9626, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssItem @ X2))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl2835, zip_derived_cl85])).
% 122.25/18.05 thf(zip_derived_cl9682, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 ( (ssList @ (cons @ X0 @ sk1))
% 122.25/18.05 | ~ (ssItem @ X0)
% 122.25/18.05 | ~ (ssList @ sk1)
% 122.25/18.05 | ~ (ssList @ sk1))),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl1662, zip_derived_cl9626])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl9700, plain,
% 122.25/18.05 (![X0 : $i]: ( (ssList @ (cons @ X0 @ sk1)) | ~ (ssItem @ X0))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl9682, zip_derived_cl185, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(clause72, axiom,
% 122.25/18.05 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 122.25/18.05 thf(zip_derived_cl71, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause72])).
% 122.25/18.05 thf(zip_derived_cl518, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | (ssItem @ X2)
% 122.25/18.05 | (duplicatefreeP @ (cons @ X1 @ X0)))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl71])).
% 122.25/18.05 thf(zip_derived_cl2141, plain,
% 122.25/18.05 (![X0 : $i]: (((app @ (skaf46 @ X0 @ X0) @ X0) = (X0)) | ~ (ssList @ X0))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl2137])).
% 122.25/18.05 thf(zip_derived_cl156, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssItem @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause157])).
% 122.25/18.05 thf(zip_derived_cl2141, plain,
% 122.25/18.05 (![X0 : $i]: (((app @ (skaf46 @ X0 @ X0) @ X0) = (X0)) | ~ (ssList @ X0))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl2137])).
% 122.25/18.05 thf(clause179, axiom,
% 122.25/18.05 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 122.25/18.05 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 122.25/18.05 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 122.25/18.05 thf(zip_derived_cl178, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 122.25/18.05 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 122.25/18.05 | ~ (ssList @ X4)
% 122.25/18.05 | ~ (ssList @ X3)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssItem @ X2)
% 122.25/18.05 | ~ (duplicatefreeP @ X0)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause179])).
% 122.25/18.05 thf(zip_derived_cl6698, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.25/18.05 (((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2))
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (duplicatefreeP @ X2)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ (skaf46 @ (cons @ X1 @ X0) @ (cons @ X1 @ X0)))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X3))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl2141, zip_derived_cl178])).
% 122.25/18.05 thf(zip_derived_cl49, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause50])).
% 122.25/18.05 thf(zip_derived_cl6783, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.25/18.05 (((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2))
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (duplicatefreeP @ X2)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X3))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl6698, zip_derived_cl49])).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(zip_derived_cl25471, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.25/18.05 (~ (ssList @ X3)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (duplicatefreeP @ X2)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2)))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl6783, zip_derived_cl85])).
% 122.25/18.05 thf(zip_derived_cl25472, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.25/18.05 (((cons @ X1 @ (app @ X2 @ (cons @ X1 @ X0))) != (X3))
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ X3)
% 122.25/18.05 | ~ (duplicatefreeP @ X3)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl25471])).
% 122.25/18.05 thf(zip_derived_cl25487, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (duplicatefreeP @ X3)
% 122.25/18.05 | ~ (ssList @ X3)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ((cons @ X1 @ (app @ X2 @ (cons @ X1 @ X0))) != (X3)))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl25472])).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(zip_derived_cl26025, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 122.25/18.05 (((cons @ X1 @ (app @ X2 @ (cons @ X1 @ X0))) != (X3))
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ X3)
% 122.25/18.05 | ~ (duplicatefreeP @ X3)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl25487, zip_derived_cl85])).
% 122.25/18.05 thf(zip_derived_cl26027, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (((cons @ X1 @ (cons @ X1 @ X0)) != (X2))
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (duplicatefreeP @ X2)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ (skaf46 @ (cons @ X1 @ X0) @ (cons @ X1 @ X0))))),
% 122.25/18.05 inference('sup-', [status(thm)],
% 122.25/18.05 [zip_derived_cl2141, zip_derived_cl26025])).
% 122.25/18.05 thf(zip_derived_cl49, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause50])).
% 122.25/18.05 thf(zip_derived_cl26048, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (((cons @ X1 @ (cons @ X1 @ X0)) != (X2))
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (duplicatefreeP @ X2)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (ssItem @ X1))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl26027, zip_derived_cl49])).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(zip_derived_cl26060, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ X2)
% 122.25/18.05 | ~ (duplicatefreeP @ X2)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((cons @ X1 @ (cons @ X1 @ X0)) != (X2)))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl26048, zip_derived_cl85])).
% 122.25/18.05 thf(zip_derived_cl26067, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (duplicatefreeP @ (cons @ X1 @ (cons @ X1 @ X0)))
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 122.25/18.05 | ~ (ssItem @ X1))),
% 122.25/18.05 inference('eq_res', [status(thm)], [zip_derived_cl26060])).
% 122.25/18.05 thf(zip_derived_cl26071, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 ( (ssItem @ X2)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl518, zip_derived_cl26067])).
% 122.25/18.05 thf(zip_derived_cl26080, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ (cons @ X1 @ X0)))
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | (ssItem @ X2))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl26071])).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(zip_derived_cl26086, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 ( (ssItem @ X2)
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl26080, zip_derived_cl85])).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(zip_derived_cl26087, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssList @ X0) | ~ (ssItem @ X1) | (ssItem @ X2))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl26086, zip_derived_cl85])).
% 122.25/18.05 thf(zip_derived_cl4083, plain, (((sk2) = (app @ sk2 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl4081, zip_derived_cl186, zip_derived_cl185])).
% 122.25/18.05 thf(clause133, axiom,
% 122.25/18.05 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) |
% 122.25/18.05 ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 122.25/18.05 thf(zip_derived_cl132, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((nil) = (X1))
% 122.25/18.05 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause133])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl2173, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((sk1) = (X1))
% 122.25/18.05 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl4088, plain,
% 122.25/18.05 ((((tl @ sk2) = (app @ (tl @ sk2) @ sk1))
% 122.25/18.05 | ((sk1) = (sk2))
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ~ (ssList @ sk1))),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl4083, zip_derived_cl2173])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl4111, plain,
% 122.25/18.05 ((((tl @ sk2) = (app @ (tl @ sk2) @ sk1)) | ((sk1) = (sk2)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl4088, zip_derived_cl186, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1654, plain, (((sk1) != (sk2))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl1653])).
% 122.25/18.05 thf(zip_derived_cl4112, plain, (((tl @ sk2) = (app @ (tl @ sk2) @ sk1))),
% 122.25/18.05 inference('simplify_reflect-', [status(thm)],
% 122.25/18.05 [zip_derived_cl4111, zip_derived_cl1654])).
% 122.25/18.05 thf(zip_derived_cl2173, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((sk1) = (X1))
% 122.25/18.05 | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl1610])).
% 122.25/18.05 thf(clause75, axiom,
% 122.25/18.05 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl74, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause75])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1637, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((sk1) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl74, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl2174, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 ( (ssList @ (app @ (tl @ X1) @ X0))
% 122.25/18.05 | ((sk1) = (X1))
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((sk1) = (app @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ (app @ X1 @ X0)))),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl2173, zip_derived_cl1637])).
% 122.25/18.05 thf(zip_derived_cl1650, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((app @ X0 @ X1) != (sk1))
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((sk1) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl117, zip_derived_cl1610, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl23729, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ (app @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ((sk1) = (X1))
% 122.25/18.05 | (ssList @ (app @ (tl @ X1) @ X0)))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl2174, zip_derived_cl1650])).
% 122.25/18.05 thf(zip_derived_cl84, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause85])).
% 122.25/18.05 thf(zip_derived_cl23730, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 ( (ssList @ (app @ (tl @ X1) @ X0))
% 122.25/18.05 | ((sk1) = (X1))
% 122.25/18.05 | ~ (ssList @ X1)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl23729, zip_derived_cl84])).
% 122.25/18.05 thf(zip_derived_cl23826, plain,
% 122.25/18.05 (( (ssList @ (tl @ sk2))
% 122.25/18.05 | ~ (ssList @ sk1)
% 122.25/18.05 | ~ (ssList @ sk2)
% 122.25/18.05 | ((sk1) = (sk2)))),
% 122.25/18.05 inference('sup+', [status(thm)],
% 122.25/18.05 [zip_derived_cl4112, zip_derived_cl23730])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl23835, plain, (( (ssList @ (tl @ sk2)) | ((sk1) = (sk2)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl23826, zip_derived_cl185, zip_derived_cl186])).
% 122.25/18.05 thf(zip_derived_cl1654, plain, (((sk1) != (sk2))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl1653])).
% 122.25/18.05 thf(zip_derived_cl23836, plain, ( (ssList @ (tl @ sk2))),
% 122.25/18.05 inference('simplify_reflect-', [status(thm)],
% 122.25/18.05 [zip_derived_cl23835, zip_derived_cl1654])).
% 122.25/18.05 thf(zip_derived_cl26125, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]: ( (ssItem @ X0) | ~ (ssItem @ X1))),
% 122.25/18.05 inference('sup+', [status(thm)],
% 122.25/18.05 [zip_derived_cl26087, zip_derived_cl23836])).
% 122.25/18.05 thf(clause9, axiom, (ssItem @ skac3)).
% 122.25/18.05 thf(zip_derived_cl8, plain, ( (ssItem @ skac3)),
% 122.25/18.05 inference('cnf', [status(esa)], [clause9])).
% 122.25/18.05 thf(zip_derived_cl26396, plain, (![X0 : $i]: (ssItem @ X0)),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl26125, zip_derived_cl8])).
% 122.25/18.05 thf(zip_derived_cl26636, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl9700, zip_derived_cl26396])).
% 122.25/18.05 thf(zip_derived_cl26396, plain, (![X0 : $i]: (ssItem @ X0)),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl26125, zip_derived_cl8])).
% 122.25/18.05 thf(zip_derived_cl136574, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 122.25/18.05 (~ (ssList @ X2)
% 122.25/18.05 | (segmentP @ X2 @ (cons @ X1 @ sk1))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((cons @ X1 @ X0) != (X2)))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl6848, zip_derived_cl26636, zip_derived_cl26396])).
% 122.25/18.05 thf(zip_derived_cl136585, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (((sk2) != (X0))
% 122.25/18.05 | ~ (ssList @ (tl @ sk2))
% 122.25/18.05 | (segmentP @ X0 @ (cons @ (hd @ sk2) @ sk1))
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('sup-', [status(thm)],
% 122.25/18.05 [zip_derived_cl19176, zip_derived_cl136574])).
% 122.25/18.05 thf(zip_derived_cl23836, plain, ( (ssList @ (tl @ sk2))),
% 122.25/18.05 inference('simplify_reflect-', [status(thm)],
% 122.25/18.05 [zip_derived_cl23835, zip_derived_cl1654])).
% 122.25/18.05 thf(zip_derived_cl136594, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (((sk2) != (X0))
% 122.25/18.05 | (segmentP @ X0 @ (cons @ (hd @ sk2) @ sk1))
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl136585, zip_derived_cl23836])).
% 122.25/18.05 thf(zip_derived_cl140754, plain,
% 122.25/18.05 ((~ (ssList @ sk2) | (segmentP @ sk2 @ (cons @ (hd @ sk2) @ sk1)))),
% 122.25/18.05 inference('eq_res', [status(thm)], [zip_derived_cl136594])).
% 122.25/18.05 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 122.25/18.05 thf(zip_derived_cl140755, plain,
% 122.25/18.05 ( (segmentP @ sk2 @ (cons @ (hd @ sk2) @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl140754, zip_derived_cl186])).
% 122.25/18.05 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 122.25/18.05 thf(zip_derived_cl55, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause56])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1624, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl1610])).
% 122.25/18.05 thf(co1_9, conjecture,
% 122.25/18.05 (~( ( ~( equalelemsP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) |
% 122.25/18.05 ( ~( segmentP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) |
% 122.25/18.05 ( ~( ssList @ A ) ) ))).
% 122.25/18.05 thf(zf_stmt_7, negated_conjecture,
% 122.25/18.05 (( ~( equalelemsP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) |
% 122.25/18.05 ( ~( segmentP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) | ( ~( ssList @ A ) )),
% 122.25/18.05 inference('cnf.neg', [status(esa)], [co1_9])).
% 122.25/18.05 thf(zip_derived_cl193, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (equalelemsP @ X0)
% 122.25/18.05 | ~ (segmentP @ X0 @ sk3)
% 122.25/18.05 | ~ (segmentP @ sk4 @ X0)
% 122.25/18.05 | ~ (neq @ sk3 @ X0)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_7])).
% 122.25/18.05 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 122.25/18.05 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 122.25/18.05 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 122.25/18.05 thf(zip_derived_cl223, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (equalelemsP @ X0)
% 122.25/18.05 | ~ (segmentP @ X0 @ sk1)
% 122.25/18.05 | ~ (segmentP @ sk2 @ X0)
% 122.25/18.05 | ~ (neq @ sk1 @ X0)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl193, zip_derived_cl190, zip_derived_cl189,
% 122.25/18.05 zip_derived_cl190])).
% 122.25/18.05 thf(zip_derived_cl1794, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (ssList @ X0)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (neq @ sk1 @ X0)
% 122.25/18.05 | ~ (segmentP @ sk2 @ X0)
% 122.25/18.05 | ~ (equalelemsP @ X0))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl1624, zip_derived_cl223])).
% 122.25/18.05 thf(zip_derived_cl1797, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (equalelemsP @ X0)
% 122.25/18.05 | ~ (segmentP @ sk2 @ X0)
% 122.25/18.05 | ~ (neq @ sk1 @ X0)
% 122.25/18.05 | ~ (ssList @ X0))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl1794])).
% 122.25/18.05 thf(zip_derived_cl140764, plain,
% 122.25/18.05 ((~ (ssList @ (cons @ (hd @ sk2) @ sk1))
% 122.25/18.05 | ~ (neq @ sk1 @ (cons @ (hd @ sk2) @ sk1))
% 122.25/18.05 | ~ (equalelemsP @ (cons @ (hd @ sk2) @ sk1)))),
% 122.25/18.05 inference('sup-', [status(thm)],
% 122.25/18.05 [zip_derived_cl140755, zip_derived_cl1797])).
% 122.25/18.05 thf(zip_derived_cl26636, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl9700, zip_derived_cl26396])).
% 122.25/18.05 thf(zip_derived_cl26636, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl9700, zip_derived_cl26396])).
% 122.25/18.05 thf(clause101, axiom,
% 122.25/18.05 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 122.25/18.05 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 122.25/18.05 thf(zip_derived_cl100, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (singletonP @ X0)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause101])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1646, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (singletonP @ X0)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ((cons @ (skaf44 @ X0) @ sk1) = (X0)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl99, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause100])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(zip_derived_cl771, plain,
% 122.25/18.05 (![X0 : $i]: (((sk1) = (X0)) | (neq @ sk1 @ X0) | ~ (ssList @ X0))),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(zip_derived_cl1906, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 ( (neq @ sk1 @ (cons @ X1 @ X0))
% 122.25/18.05 | ((sk1) = (cons @ X1 @ X0))
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (ssItem @ X1))),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl771, zip_derived_cl85])).
% 122.25/18.05 thf(clause98, axiom,
% 122.25/18.05 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 122.25/18.05 ( ~( ssList @ V ) ))).
% 122.25/18.05 thf(zip_derived_cl97, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause98])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1645, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((cons @ X0 @ X1) != (sk1)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl20028, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X1) | ~ (ssList @ X0) | (neq @ sk1 @ (cons @ X1 @ X0)))),
% 122.25/18.05 inference('clc', [status(thm)], [zip_derived_cl1906, zip_derived_cl1645])).
% 122.25/18.05 thf(zip_derived_cl20031, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 ( (neq @ sk1 @ X0)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | ~ (singletonP @ X0)
% 122.25/18.05 | ~ (ssList @ sk1)
% 122.25/18.05 | ~ (ssItem @ (skaf44 @ X0)))),
% 122.25/18.05 inference('sup+', [status(thm)],
% 122.25/18.05 [zip_derived_cl1646, zip_derived_cl20028])).
% 122.25/18.05 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 122.25/18.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 122.25/18.05 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 122.25/18.05 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause47])).
% 122.25/18.05 thf(zip_derived_cl20036, plain,
% 122.25/18.05 (![X0 : $i]: ( (neq @ sk1 @ X0) | ~ (ssList @ X0) | ~ (singletonP @ X0))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl20031, zip_derived_cl185, zip_derived_cl46])).
% 122.25/18.05 thf(zip_derived_cl26973, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (singletonP @ (cons @ X0 @ sk1)) | (neq @ sk1 @ (cons @ X0 @ sk1)))),
% 122.25/18.05 inference('sup-', [status(thm)],
% 122.25/18.05 [zip_derived_cl26636, zip_derived_cl20036])).
% 122.25/18.05 thf(zip_derived_cl85, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause86])).
% 122.25/18.05 thf(clause116, axiom,
% 122.25/18.05 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 122.25/18.05 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 122.25/18.05 thf(zip_derived_cl115, plain,
% 122.25/18.05 (![X0 : $i, X1 : $i]:
% 122.25/18.05 (((cons @ X1 @ nil) != (X0))
% 122.25/18.05 | ~ (ssItem @ X1)
% 122.25/18.05 | ~ (ssList @ X0)
% 122.25/18.05 | (singletonP @ X0))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause116])).
% 122.25/18.05 thf(zip_derived_cl532, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 ( (singletonP @ (cons @ X0 @ nil))
% 122.25/18.05 | ~ (ssList @ (cons @ X0 @ nil))
% 122.25/18.05 | ~ (ssItem @ X0))),
% 122.25/18.05 inference('eq_res', [status(thm)], [zip_derived_cl115])).
% 122.25/18.05 thf(zip_derived_cl549, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (ssList @ nil)
% 122.25/18.05 | ~ (ssItem @ X0)
% 122.25/18.05 | ~ (ssItem @ X0)
% 122.25/18.05 | (singletonP @ (cons @ X0 @ nil)))),
% 122.25/18.05 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl532])).
% 122.25/18.05 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 122.25/18.05 inference('cnf', [status(esa)], [clause8])).
% 122.25/18.05 thf(zip_derived_cl550, plain,
% 122.25/18.05 (![X0 : $i]:
% 122.25/18.05 (~ (ssItem @ X0) | ~ (ssItem @ X0) | (singletonP @ (cons @ X0 @ nil)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl549, zip_derived_cl7])).
% 122.25/18.05 thf(zip_derived_cl551, plain,
% 122.25/18.05 (![X0 : $i]: ( (singletonP @ (cons @ X0 @ nil)) | ~ (ssItem @ X0))),
% 122.25/18.05 inference('simplify', [status(thm)], [zip_derived_cl550])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1660, plain,
% 122.25/18.05 (![X0 : $i]: ( (singletonP @ (cons @ X0 @ sk1)) | ~ (ssItem @ X0))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl26396, plain, (![X0 : $i]: (ssItem @ X0)),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl26125, zip_derived_cl8])).
% 122.25/18.05 thf(zip_derived_cl26603, plain,
% 122.25/18.05 (![X0 : $i]: (singletonP @ (cons @ X0 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl1660, zip_derived_cl26396])).
% 122.25/18.05 thf(zip_derived_cl46008, plain,
% 122.25/18.05 (![X0 : $i]: (neq @ sk1 @ (cons @ X0 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl26973, zip_derived_cl26603])).
% 122.25/18.05 thf(clause64, axiom,
% 122.25/18.05 (( ~( ssItem @ U ) ) | ( equalelemsP @ ( cons @ U @ nil ) ))).
% 122.25/18.05 thf(zip_derived_cl63, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssItem @ X0) | (equalelemsP @ (cons @ X0 @ nil)))),
% 122.25/18.05 inference('cnf', [status(esa)], [clause64])).
% 122.25/18.05 thf(zip_derived_cl1610, plain, (((sk1) = (nil))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl1607, zip_derived_cl185])).
% 122.25/18.05 thf(zip_derived_cl1627, plain,
% 122.25/18.05 (![X0 : $i]: (~ (ssItem @ X0) | (equalelemsP @ (cons @ X0 @ sk1)))),
% 122.25/18.05 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl1610])).
% 122.25/18.05 thf(zip_derived_cl26396, plain, (![X0 : $i]: (ssItem @ X0)),
% 122.25/18.05 inference('sup+', [status(thm)], [zip_derived_cl26125, zip_derived_cl8])).
% 122.25/18.05 thf(zip_derived_cl26591, plain,
% 122.25/18.05 (![X0 : $i]: (equalelemsP @ (cons @ X0 @ sk1))),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl1627, zip_derived_cl26396])).
% 122.25/18.05 thf(zip_derived_cl140777, plain, ($false),
% 122.25/18.05 inference('demod', [status(thm)],
% 122.25/18.05 [zip_derived_cl140764, zip_derived_cl26636,
% 122.25/18.05 zip_derived_cl46008, zip_derived_cl26591])).
% 122.25/18.05
% 122.25/18.05 % SZS output end Refutation
% 122.25/18.05
% 122.25/18.05
% 122.25/18.05 % Terminating...
% 122.25/18.11 % Runner terminated.
% 122.25/18.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------