TSTP Solution File: SWC311-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC311-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lbvE7AYfrZ true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:30:40 EDT 2023
% Result : Unsatisfiable 15.59s 2.84s
% Output : Refutation 15.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC311-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lbvE7AYfrZ true
% 0.13/0.34 % Computer : n001.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 18:46:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.20/0.70 % Total configuration time : 435
% 0.20/0.70 % Estimated wc time : 1092
% 0.20/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.81/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 15.59/2.84 % Solved by fo/fo6_bce.sh.
% 15.59/2.84 % BCE start: 197
% 15.59/2.84 % BCE eliminated: 0
% 15.59/2.84 % PE start: 197
% 15.59/2.84 logic: eq
% 15.59/2.84 % PE eliminated: 6
% 15.59/2.84 % done 1166 iterations in 2.096s
% 15.59/2.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.59/2.84 % SZS output start Refutation
% 15.59/2.84 thf(nil_type, type, nil: $i).
% 15.59/2.84 thf(cons_type, type, cons: $i > $i > $i).
% 15.59/2.84 thf(sk2_type, type, sk2: $i).
% 15.59/2.84 thf(sk4_type, type, sk4: $i).
% 15.59/2.84 thf(tl_type, type, tl: $i > $i).
% 15.59/2.84 thf(hd_type, type, hd: $i > $i).
% 15.59/2.84 thf(ssItem_type, type, ssItem: $i > $o).
% 15.59/2.84 thf(sk3_type, type, sk3: $i).
% 15.59/2.84 thf(neq_type, type, neq: $i > $i > $o).
% 15.59/2.84 thf(app_type, type, app: $i > $i > $i).
% 15.59/2.84 thf(ssList_type, type, ssList: $i > $o).
% 15.59/2.84 thf(sk1_type, type, sk1: $i).
% 15.59/2.84 thf(co1_11, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 15.59/2.84 thf(zf_stmt_0, negated_conjecture,
% 15.59/2.84 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 15.59/2.84 inference('cnf.neg', [status(esa)], [co1_11])).
% 15.59/2.84 thf(zip_derived_cl195, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 15.59/2.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.59/2.84 thf(clause104, axiom,
% 15.59/2.84 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 15.59/2.84 ( ( nil ) = ( U ) ))).
% 15.59/2.84 thf(zip_derived_cl103, plain,
% 15.59/2.84 (![X0 : $i]:
% 15.59/2.84 (~ (ssList @ X0)
% 15.59/2.84 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 15.59/2.84 | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause104])).
% 15.59/2.84 thf(clause76, axiom,
% 15.59/2.84 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 15.59/2.84 thf(zip_derived_cl75, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause76])).
% 15.59/2.84 thf(clause75, axiom,
% 15.59/2.84 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 15.59/2.84 thf(zip_derived_cl74, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause75])).
% 15.59/2.84 thf(clause120, axiom,
% 15.59/2.84 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 15.59/2.84 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 15.59/2.84 thf(zip_derived_cl119, plain,
% 15.59/2.84 (![X0 : $i, X1 : $i]:
% 15.59/2.84 (~ (ssItem @ X0)
% 15.59/2.84 | ~ (ssList @ X1)
% 15.59/2.84 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause120])).
% 15.59/2.84 thf(zip_derived_cl74, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause75])).
% 15.59/2.84 thf(zip_derived_cl75, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause76])).
% 15.59/2.84 thf(zip_derived_cl75, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause76])).
% 15.59/2.84 thf(clause86, axiom,
% 15.59/2.84 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 15.59/2.84 thf(zip_derived_cl85, plain,
% 15.59/2.84 (![X0 : $i, X1 : $i]:
% 15.59/2.84 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause86])).
% 15.59/2.84 thf(zip_derived_cl74, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause75])).
% 15.59/2.84 thf(clause85, axiom,
% 15.59/2.84 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 15.59/2.84 thf(zip_derived_cl84, plain,
% 15.59/2.84 (![X0 : $i, X1 : $i]:
% 15.59/2.84 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause85])).
% 15.59/2.84 thf(zip_derived_cl75, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause76])).
% 15.59/2.84 thf(zip_derived_cl85, plain,
% 15.59/2.84 (![X0 : $i, X1 : $i]:
% 15.59/2.84 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause86])).
% 15.59/2.84 thf(zip_derived_cl75, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause76])).
% 15.59/2.84 thf(zip_derived_cl74, plain,
% 15.59/2.84 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause75])).
% 15.59/2.84 thf(clause100, axiom,
% 15.59/2.84 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 15.59/2.84 ( ( V ) = ( U ) ))).
% 15.59/2.84 thf(zip_derived_cl99, plain,
% 15.59/2.84 (![X0 : $i, X1 : $i]:
% 15.59/2.84 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause100])).
% 15.59/2.84 thf(zip_derived_cl99, plain,
% 15.59/2.84 (![X0 : $i, X1 : $i]:
% 15.59/2.84 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 15.59/2.84 inference('cnf', [status(esa)], [clause100])).
% 15.59/2.84 thf(co1_8, conjecture,
% 15.59/2.84 (~( ( ~( ssList @ A ) ) | ( ( hd @ sk4 ) != ( D ) ) |
% 15.59/2.84 ( ~( ssItem @ D ) ) | ( ~( neq @ nil @ sk4 ) ) | ( ~( ssList @ C ) ) |
% 15.59/2.84 ( ~( neq @ sk4 @ nil ) ) | ( ( app @ B @ C ) != ( A ) ) |
% 15.59/2.84 ( ( sk3 ) = ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 15.59/2.84 ( ( cons @ D @ nil ) != ( C ) ) | ( ~( ssList @ B ) ) ))).
% 15.59/2.84 thf(zf_stmt_1, negated_conjecture,
% 15.59/2.84 (( ~( ssList @ A ) ) | ( ( hd @ sk4 ) != ( D ) ) | ( ~( ssItem @ D ) ) |
% 15.59/2.84 ( ~( neq @ nil @ sk4 ) ) | ( ~( ssList @ C ) ) |
% 15.59/2.84 ( ~( neq @ sk4 @ nil ) ) | ( ( app @ B @ C ) != ( A ) ) |
% 15.59/2.84 ( ( sk3 ) = ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 15.59/2.84 ( ( cons @ D @ nil ) != ( C ) ) | ( ~( ssList @ B ) )),
% 15.59/2.84 inference('cnf.neg', [status(esa)], [co1_8])).
% 15.59/2.84 thf(zip_derived_cl192, plain,
% 15.59/2.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.59/2.84 (~ (ssList @ X0)
% 15.59/2.84 | ((hd @ sk4) != (X1))
% 15.59/2.84 | ~ (ssItem @ X1)
% 15.59/2.84 | ~ (neq @ nil @ sk4)
% 15.59/2.84 | ~ (ssList @ X2)
% 15.59/2.84 | ~ (neq @ sk4 @ nil)
% 15.59/2.84 | ((app @ X3 @ X2) != (X0))
% 15.59/2.84 | ((sk3) = (X0))
% 15.59/2.84 | ((tl @ sk4) != (X3))
% 15.59/2.84 | ((cons @ X1 @ nil) != (X2))
% 15.59/2.84 | ~ (ssList @ X3))),
% 15.59/2.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 15.59/2.84 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 15.59/2.84 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 15.59/2.84 inference('cnf.neg', [status(esa)], [co1_5])).
% 15.59/2.84 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 15.59/2.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 15.59/2.84 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 15.59/2.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 15.59/2.84 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 15.59/2.84 inference('cnf', [status(esa)], [zf_stmt_2])).
% 15.59/2.85 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 15.59/2.85 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 15.59/2.85 inference('cnf.neg', [status(esa)], [co1_6])).
% 15.59/2.85 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 15.59/2.85 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 15.59/2.85 thf(zip_derived_cl3445, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.59/2.85 (~ (ssList @ X0)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ~ (neq @ nil @ sk2)
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ~ (neq @ sk2 @ nil)
% 15.59/2.85 | ((app @ X3 @ X2) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((tl @ sk2) != (X3))
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2))
% 15.59/2.85 | ~ (ssList @ X3))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl192, zip_derived_cl189, zip_derived_cl189,
% 15.59/2.85 zip_derived_cl189, zip_derived_cl190, zip_derived_cl189])).
% 15.59/2.85 thf(zip_derived_cl3446, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ nil)
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ~ (neq @ sk2 @ nil)
% 15.59/2.85 | ((app @ X3 @ X2) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((tl @ sk2) != (X3))
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2))
% 15.59/2.85 | ~ (ssList @ X3))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl3445])).
% 15.59/2.85 thf(clause8, axiom, (ssList @ nil)).
% 15.59/2.85 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 15.59/2.85 inference('cnf', [status(esa)], [clause8])).
% 15.59/2.85 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 15.59/2.85 thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 15.59/2.85 inference('cnf.neg', [status(esa)], [co1_2])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl3448, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ~ (neq @ sk2 @ nil)
% 15.59/2.85 | ((app @ X3 @ X2) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((tl @ sk2) != (X3))
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2))
% 15.59/2.85 | ~ (ssList @ X3))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl3446, zip_derived_cl7, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl5119, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.59/2.85 (((sk2) = (nil))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ~ (ssList @ nil)
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ((app @ X3 @ X2) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((tl @ sk2) != (X3))
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2))
% 15.59/2.85 | ~ (ssList @ X3))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl3448])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 15.59/2.85 inference('cnf', [status(esa)], [clause8])).
% 15.59/2.85 thf(zip_derived_cl5122, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.59/2.85 (((sk2) = (nil))
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ((app @ X3 @ X2) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((tl @ sk2) != (X3))
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2))
% 15.59/2.85 | ~ (ssList @ X3))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl5119, zip_derived_cl186, zip_derived_cl7])).
% 15.59/2.85 thf(zip_derived_cl5123, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 15.59/2.85 (~ (ssList @ X3)
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2))
% 15.59/2.85 | ((tl @ sk2) != (X3))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((app @ X3 @ X2) != (X0))
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((sk2) = (nil)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl5122])).
% 15.59/2.85 thf(zip_derived_cl5487, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.59/2.85 (((sk2) = (nil))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ((app @ (tl @ sk2) @ X2) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2))
% 15.59/2.85 | ~ (ssList @ (tl @ sk2)))),
% 15.59/2.85 inference('eq_res', [status(thm)], [zip_derived_cl5123])).
% 15.59/2.85 thf(zip_derived_cl6414, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ((sk2) = (nil))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ((app @ (tl @ sk2) @ X2) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl5487])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl6415, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ((sk2) = (nil))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ((app @ (tl @ sk2) @ X2) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((cons @ X1 @ nil) != (X2)))),
% 15.59/2.85 inference('demod', [status(thm)], [zip_derived_cl6414, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl6416, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.59/2.85 (((cons @ X1 @ nil) != (X2))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((app @ (tl @ sk2) @ X2) != (X0))
% 15.59/2.85 | ~ (ssList @ X2)
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ((hd @ sk2) != (X1))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl6415])).
% 15.59/2.85 thf(zip_derived_cl9855, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ~ (ssList @ X1)
% 15.59/2.85 | ((app @ (tl @ sk2) @ X1) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((cons @ (hd @ sk2) @ nil) != (X1)))),
% 15.59/2.85 inference('eq_res', [status(thm)], [zip_derived_cl6416])).
% 15.59/2.85 thf(zip_derived_cl9865, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ~ (ssList @ X1)
% 15.59/2.85 | ((app @ (tl @ sk2) @ X1) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((cons @ (hd @ sk2) @ nil) != (X1)))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl9855])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl9866, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ~ (ssList @ X1)
% 15.59/2.85 | ((app @ (tl @ sk2) @ X1) != (X0))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((cons @ (hd @ sk2) @ nil) != (X1)))),
% 15.59/2.85 inference('demod', [status(thm)], [zip_derived_cl9865, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl9867, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i]:
% 15.59/2.85 (((cons @ (hd @ sk2) @ nil) != (X1))
% 15.59/2.85 | ((sk1) = (X0))
% 15.59/2.85 | ((app @ (tl @ sk2) @ X1) != (X0))
% 15.59/2.85 | ~ (ssList @ X1)
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl9866])).
% 15.59/2.85 thf(zip_derived_cl9868, plain,
% 15.59/2.85 (![X0 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 15.59/2.85 | ((app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)) != (X0))
% 15.59/2.85 | ((sk1) = (X0)))),
% 15.59/2.85 inference('eq_res', [status(thm)], [zip_derived_cl9867])).
% 15.59/2.85 thf(zip_derived_cl9869, plain,
% 15.59/2.85 (![X0 : $i]:
% 15.59/2.85 (~ (ssList @ nil)
% 15.59/2.85 | ~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)) != (X0))
% 15.59/2.85 | ((sk1) = (X0)))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl9868])).
% 15.59/2.85 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 15.59/2.85 inference('cnf', [status(esa)], [clause8])).
% 15.59/2.85 thf(zip_derived_cl9870, plain,
% 15.59/2.85 (![X0 : $i]:
% 15.59/2.85 (~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)) != (X0))
% 15.59/2.85 | ((sk1) = (X0)))),
% 15.59/2.85 inference('demod', [status(thm)], [zip_derived_cl9869, zip_derived_cl7])).
% 15.59/2.85 thf(zip_derived_cl9871, plain,
% 15.59/2.85 (![X0 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)) != (X0))
% 15.59/2.85 | ((sk1) = (X0)))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl9870])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl9872, plain,
% 15.59/2.85 (![X0 : $i]:
% 15.59/2.85 (((nil) = (sk2))
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)) != (X0))
% 15.59/2.85 | ((sk1) = (X0)))),
% 15.59/2.85 inference('demod', [status(thm)], [zip_derived_cl9871, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl9873, plain,
% 15.59/2.85 (![X0 : $i]:
% 15.59/2.85 (((sk1) = (X0))
% 15.59/2.85 | ((app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)) != (X0))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl9872])).
% 15.59/2.85 thf(zip_derived_cl9936, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 15.59/2.85 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil))))),
% 15.59/2.85 inference('eq_res', [status(thm)], [zip_derived_cl9873])).
% 15.59/2.85 thf(zip_derived_cl9937, plain,
% 15.59/2.85 ((~ (ssList @ (tl @ sk2))
% 15.59/2.85 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil))))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl9936])).
% 15.59/2.85 thf(zip_derived_cl9940, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil))))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl9937])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl9941, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 15.59/2.85 | ((nil) = (sk2))
% 15.59/2.85 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil))))),
% 15.59/2.85 inference('demod', [status(thm)], [zip_derived_cl9940, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl9942, plain,
% 15.59/2.85 ((((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 15.59/2.85 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl9941])).
% 15.59/2.85 thf(zip_derived_cl9957, plain,
% 15.59/2.85 ((~ (ssList @ nil)
% 15.59/2.85 | ~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl9942])).
% 15.59/2.85 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 15.59/2.85 inference('cnf', [status(esa)], [clause8])).
% 15.59/2.85 thf(zip_derived_cl9958, plain,
% 15.59/2.85 ((~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('demod', [status(thm)], [zip_derived_cl9957, zip_derived_cl7])).
% 15.59/2.85 thf(zip_derived_cl9960, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl9958])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl9961, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('demod', [status(thm)], [zip_derived_cl9960, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl9962, plain,
% 15.59/2.85 ((((sk1) = (app @ (tl @ sk2) @ (cons @ (hd @ sk2) @ nil)))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl9961])).
% 15.59/2.85 thf(co1_10, conjecture,
% 15.59/2.85 (~( ( ( app @ B @ ( cons @ A @ nil ) ) != ( sk1 ) ) |
% 15.59/2.85 ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk2 ) ) |
% 15.59/2.85 ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 15.59/2.85 thf(zf_stmt_5, negated_conjecture,
% 15.59/2.85 (( ( app @ B @ ( cons @ A @ nil ) ) != ( sk1 ) ) |
% 15.59/2.85 ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk2 ) ) | ( ~( ssList @ B ) ) |
% 15.59/2.85 ( ~( ssItem @ A ) ) | ( ( nil ) = ( sk2 ) )),
% 15.59/2.85 inference('cnf.neg', [status(esa)], [co1_10])).
% 15.59/2.85 thf(zip_derived_cl194, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i]:
% 15.59/2.85 (((app @ X0 @ (cons @ X1 @ nil)) != (sk1))
% 15.59/2.85 | ((app @ (cons @ X1 @ nil) @ X0) != (sk2))
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ~ (ssItem @ X1)
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 15.59/2.85 thf(zip_derived_cl10020, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ((sk1) != (sk1))
% 15.59/2.85 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ~ (ssList @ (tl @ sk2))
% 15.59/2.85 | ~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)],
% 15.59/2.85 [zip_derived_cl9962, zip_derived_cl194])).
% 15.59/2.85 thf(zip_derived_cl10085, plain,
% 15.59/2.85 ((~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ~ (ssList @ (tl @ sk2))
% 15.59/2.85 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10020])).
% 15.59/2.85 thf(zip_derived_cl10183, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ~ (ssList @ (tl @ sk2))
% 15.59/2.85 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)],
% 15.59/2.85 [zip_derived_cl75, zip_derived_cl10085])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl10184, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ (tl @ sk2))
% 15.59/2.85 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl10183, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl10185, plain,
% 15.59/2.85 ((((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ~ (ssList @ (tl @ sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10184])).
% 15.59/2.85 thf(zip_derived_cl10186, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)],
% 15.59/2.85 [zip_derived_cl74, zip_derived_cl10185])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl10187, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl10186, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl10188, plain,
% 15.59/2.85 ((((app @ (cons @ (hd @ sk2) @ nil) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10187])).
% 15.59/2.85 thf(zip_derived_cl10191, plain,
% 15.59/2.85 ((~ (ssList @ (tl @ sk2))
% 15.59/2.85 | ~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)],
% 15.59/2.85 [zip_derived_cl119, zip_derived_cl10188])).
% 15.59/2.85 thf(zip_derived_cl10193, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)],
% 15.59/2.85 [zip_derived_cl74, zip_derived_cl10191])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl10194, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl10193, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl10195, plain,
% 15.59/2.85 ((((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ~ (ssItem @ (hd @ sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10194])).
% 15.59/2.85 thf(zip_derived_cl10199, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ~ (ssList @ sk2)
% 15.59/2.85 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)],
% 15.59/2.85 [zip_derived_cl75, zip_derived_cl10195])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl10200, plain,
% 15.59/2.85 ((((nil) = (sk2))
% 15.59/2.85 | ((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2))
% 15.59/2.85 | ((nil) = (sk2)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl10199, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl10201, plain,
% 15.59/2.85 ((((cons @ (hd @ sk2) @ (tl @ sk2)) != (sk2)) | ((nil) = (sk2)))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10200])).
% 15.59/2.85 thf(zip_derived_cl10210, plain,
% 15.59/2.85 ((((nil) = (sk2)) | ~ (ssList @ sk2) | ((sk2) != (sk2)) | ((nil) = (sk2)))),
% 15.59/2.85 inference('s_sup-', [status(thm)],
% 15.59/2.85 [zip_derived_cl103, zip_derived_cl10201])).
% 15.59/2.85 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 15.59/2.85 thf(zip_derived_cl10211, plain,
% 15.59/2.85 ((((nil) = (sk2)) | ((sk2) != (sk2)) | ((nil) = (sk2)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl10210, zip_derived_cl186])).
% 15.59/2.85 thf(zip_derived_cl10212, plain, (((nil) = (sk2))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10211])).
% 15.59/2.85 thf(zip_derived_cl10215, plain, (( (neq @ nil @ nil) | ((nil) != (sk1)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl195, zip_derived_cl10212])).
% 15.59/2.85 thf(co1_7, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 15.59/2.85 thf(zf_stmt_6, negated_conjecture,
% 15.59/2.85 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 15.59/2.85 inference('cnf.neg', [status(esa)], [co1_7])).
% 15.59/2.85 thf(zip_derived_cl191, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 15.59/2.85 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 15.59/2.85 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 15.59/2.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 15.59/2.85 thf(zip_derived_cl1400, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 15.59/2.85 thf(zip_derived_cl10212, plain, (((nil) = (sk2))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10211])).
% 15.59/2.85 thf(zip_derived_cl10217, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl1400, zip_derived_cl10212])).
% 15.59/2.85 thf(zip_derived_cl10218, plain, (((nil) = (sk1))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10217])).
% 15.59/2.85 thf(zip_derived_cl10256, plain, (( (neq @ nil @ nil) | ((nil) != (nil)))),
% 15.59/2.85 inference('demod', [status(thm)],
% 15.59/2.85 [zip_derived_cl10215, zip_derived_cl10218])).
% 15.59/2.85 thf(zip_derived_cl10257, plain, ( (neq @ nil @ nil)),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl10256])).
% 15.59/2.85 thf(clause115, axiom,
% 15.59/2.85 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 15.59/2.85 ( ~( ssList @ U ) ))).
% 15.59/2.85 thf(zip_derived_cl114, plain,
% 15.59/2.85 (![X0 : $i, X1 : $i]:
% 15.59/2.85 (((X1) != (X0))
% 15.59/2.85 | ~ (neq @ X1 @ X0)
% 15.59/2.85 | ~ (ssList @ X0)
% 15.59/2.85 | ~ (ssList @ X1))),
% 15.59/2.85 inference('cnf', [status(esa)], [clause115])).
% 15.59/2.85 thf(zip_derived_cl1406, plain,
% 15.59/2.85 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 15.59/2.85 inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 15.59/2.85 thf(zip_derived_cl1407, plain,
% 15.59/2.85 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 15.59/2.85 inference('simplify', [status(thm)], [zip_derived_cl1406])).
% 15.59/2.85 thf(zip_derived_cl10258, plain, (~ (ssList @ nil)),
% 15.59/2.85 inference('s_sup-', [status(thm)],
% 15.59/2.85 [zip_derived_cl10257, zip_derived_cl1407])).
% 15.59/2.85 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 15.59/2.85 inference('cnf', [status(esa)], [clause8])).
% 15.59/2.85 thf(zip_derived_cl10260, plain, ($false),
% 15.59/2.85 inference('demod', [status(thm)], [zip_derived_cl10258, zip_derived_cl7])).
% 15.59/2.85
% 15.59/2.85 % SZS output end Refutation
% 15.59/2.85
% 15.59/2.85
% 15.59/2.85 % Terminating...
% 15.96/2.98 % Runner terminated.
% 15.96/2.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------