TSTP Solution File: SWC409-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC409-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RZWQlL8LqI true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:31:23 EDT 2023
% Result : Unsatisfiable 26.30s 4.47s
% Output : Refutation 26.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC409-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RZWQlL8LqI true
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 18:43:17 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.30/4.47 % Solved by fo/fo13.sh.
% 26.30/4.47 % done 3834 iterations in 3.671s
% 26.30/4.47 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.30/4.47 % SZS output start Refutation
% 26.30/4.47 thf(nil_type, type, nil: $i).
% 26.30/4.47 thf(cons_type, type, cons: $i > $i > $i).
% 26.30/4.47 thf(sk2_type, type, sk2: $i).
% 26.30/4.47 thf(sk4_type, type, sk4: $i).
% 26.30/4.47 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 26.30/4.47 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 26.30/4.47 thf(memberP_type, type, memberP: $i > $i > $o).
% 26.30/4.47 thf(ssItem_type, type, ssItem: $i > $o).
% 26.30/4.47 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 26.30/4.47 thf(skaf82_type, type, skaf82: $i > $i).
% 26.30/4.47 thf(sk3_type, type, sk3: $i).
% 26.30/4.47 thf(skaf83_type, type, skaf83: $i > $i).
% 26.30/4.47 thf(app_type, type, app: $i > $i > $i).
% 26.30/4.47 thf(ssList_type, type, ssList: $i > $o).
% 26.30/4.47 thf(sk5_type, type, sk5: $i).
% 26.30/4.47 thf(sk1_type, type, sk1: $i).
% 26.30/4.47 thf(co1_9, conjecture, (~( memberP @ sk2 @ sk5 ))).
% 26.30/4.47 thf(zf_stmt_0, negated_conjecture, (memberP @ sk2 @ sk5),
% 26.30/4.47 inference('cnf.neg', [status(esa)], [co1_9])).
% 26.30/4.47 thf(zip_derived_cl193, plain, ( (memberP @ sk2 @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.30/4.47 thf(zip_derived_cl193, plain, ( (memberP @ sk2 @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.30/4.47 thf(clause109, axiom,
% 26.30/4.47 (( ~( ssList @ U ) ) |
% 26.30/4.47 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 26.30/4.47 ( ( nil ) = ( U ) ))).
% 26.30/4.47 thf(zip_derived_cl108, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (ssList @ X0)
% 26.30/4.47 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 26.30/4.47 | ((nil) = (X0)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause109])).
% 26.30/4.47 thf(clause161, axiom,
% 26.30/4.47 (( ~( memberP @ ( cons @ U @ V ) @ W ) ) | ( ~( ssList @ V ) ) |
% 26.30/4.47 ( ~( ssItem @ U ) ) | ( ~( ssItem @ W ) ) | ( memberP @ V @ W ) |
% 26.30/4.47 ( ( W ) = ( U ) ))).
% 26.30/4.47 thf(zip_derived_cl160, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.30/4.47 (~ (memberP @ (cons @ X0 @ X1) @ X2)
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssItem @ X0)
% 26.30/4.47 | ~ (ssItem @ X2)
% 26.30/4.47 | (memberP @ X1 @ X2)
% 26.30/4.47 | ((X2) = (X0)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause161])).
% 26.30/4.47 thf(zip_derived_cl1073, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((nil) = (X0))
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ~ (memberP @ X0 @ X1)
% 26.30/4.47 | ~ (ssList @ (skaf82 @ X0))
% 26.30/4.47 | ~ (ssItem @ (skaf83 @ X0))
% 26.30/4.47 | ~ (ssItem @ X1)
% 26.30/4.47 | (memberP @ (skaf82 @ X0) @ X1)
% 26.30/4.47 | ((X1) = (skaf83 @ X0)))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl160])).
% 26.30/4.47 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 26.30/4.47 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause13])).
% 26.30/4.47 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 26.30/4.47 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause12])).
% 26.30/4.47 thf(zip_derived_cl1078, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((nil) = (X0))
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ~ (memberP @ X0 @ X1)
% 26.30/4.47 | ~ (ssItem @ X1)
% 26.30/4.47 | (memberP @ (skaf82 @ X0) @ X1)
% 26.30/4.47 | ((X1) = (skaf83 @ X0)))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl1073, zip_derived_cl12, zip_derived_cl11])).
% 26.30/4.47 thf(clause86, axiom,
% 26.30/4.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 26.30/4.47 thf(zip_derived_cl85, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause86])).
% 26.30/4.47 thf(clause85, axiom,
% 26.30/4.47 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 26.30/4.47 thf(zip_derived_cl84, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause85])).
% 26.30/4.47 thf(clause72, axiom,
% 26.30/4.47 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 26.30/4.47 thf(zip_derived_cl71, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause72])).
% 26.30/4.47 thf(zip_derived_cl85, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause86])).
% 26.30/4.47 thf(zip_derived_cl84, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause85])).
% 26.30/4.47 thf(zip_derived_cl193, plain, ( (memberP @ sk2 @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 26.30/4.47 thf(clause169, axiom,
% 26.30/4.47 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 26.30/4.47 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 26.30/4.47 thf(zip_derived_cl168, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (memberP @ X0 @ X1)
% 26.30/4.47 | ~ (ssItem @ X1)
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 26.30/4.47 = (X0)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause169])).
% 26.30/4.47 thf(zip_derived_cl1905, plain,
% 26.30/4.47 ((~ (ssItem @ sk5)
% 26.30/4.47 | ~ (ssList @ sk2)
% 26.30/4.47 | ((app @ (skaf42 @ sk2 @ sk5) @ (cons @ sk5 @ (skaf43 @ sk5 @ sk2)))
% 26.30/4.47 = (sk2)))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl168])).
% 26.30/4.47 thf(co1_8, conjecture, (~( ssItem @ sk5 ))).
% 26.30/4.47 thf(zf_stmt_1, negated_conjecture, (ssItem @ sk5),
% 26.30/4.47 inference('cnf.neg', [status(esa)], [co1_8])).
% 26.30/4.47 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 26.30/4.47 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 26.30/4.47 thf(zf_stmt_2, negated_conjecture, (ssList @ sk2),
% 26.30/4.47 inference('cnf.neg', [status(esa)], [co1_2])).
% 26.30/4.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 26.30/4.47 thf(zip_derived_cl1914, plain,
% 26.30/4.47 (((app @ (skaf42 @ sk2 @ sk5) @ (cons @ sk5 @ (skaf43 @ sk5 @ sk2)))
% 26.30/4.47 = (sk2))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl1905, zip_derived_cl192, zip_derived_cl186])).
% 26.30/4.47 thf(clause179, axiom,
% 26.30/4.47 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 26.30/4.47 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 26.30/4.47 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 26.30/4.47 thf(zip_derived_cl178, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 26.30/4.47 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 26.30/4.47 | ~ (ssList @ X4)
% 26.30/4.47 | ~ (ssList @ X3)
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssItem @ X2)
% 26.30/4.47 | ~ (duplicatefreeP @ X0)
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause179])).
% 26.30/4.47 thf(zip_derived_cl1963, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((app @ sk2 @ (cons @ sk5 @ X1)) != (X0))
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssList @ (skaf43 @ sk5 @ sk2))
% 26.30/4.47 | ~ (ssList @ (skaf42 @ sk2 @ sk5))
% 26.30/4.47 | ~ (ssItem @ sk5)
% 26.30/4.47 | ~ (duplicatefreeP @ X0)
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('s_sup-', [status(thm)],
% 26.30/4.47 [zip_derived_cl1914, zip_derived_cl178])).
% 26.30/4.47 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 26.30/4.47 thf(zip_derived_cl51, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause52])).
% 26.30/4.47 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 26.30/4.47 thf(zip_derived_cl52, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause53])).
% 26.30/4.47 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 26.30/4.47 thf(zip_derived_cl1989, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((app @ sk2 @ (cons @ sk5 @ X1)) != (X0))
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (duplicatefreeP @ X0)
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl1963, zip_derived_cl51, zip_derived_cl52,
% 26.30/4.47 zip_derived_cl192])).
% 26.30/4.47 thf(zip_derived_cl2172, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (ssList @ (app @ sk2 @ (cons @ sk5 @ X0)))
% 26.30/4.47 | ~ (duplicatefreeP @ (app @ sk2 @ (cons @ sk5 @ X0)))
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('eq_res', [status(thm)], [zip_derived_cl1989])).
% 26.30/4.47 thf(zip_derived_cl2173, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (ssList @ sk2)
% 26.30/4.47 | ~ (ssList @ (cons @ sk5 @ X0))
% 26.30/4.47 | ~ (duplicatefreeP @ (app @ sk2 @ (cons @ sk5 @ X0)))
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2172])).
% 26.30/4.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 26.30/4.47 thf(zip_derived_cl2174, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (ssList @ (cons @ sk5 @ X0))
% 26.30/4.47 | ~ (duplicatefreeP @ (app @ sk2 @ (cons @ sk5 @ X0)))
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl2173, zip_derived_cl186])).
% 26.30/4.47 thf(zip_derived_cl2187, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (ssList @ X0)
% 26.30/4.47 | ~ (ssItem @ sk5)
% 26.30/4.47 | ~ (duplicatefreeP @ (app @ sk2 @ (cons @ sk5 @ X0)))
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2174])).
% 26.30/4.47 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 26.30/4.47 thf(zip_derived_cl2188, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (ssList @ X0)
% 26.30/4.47 | ~ (duplicatefreeP @ (app @ sk2 @ (cons @ sk5 @ X0)))
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl2187, zip_derived_cl192])).
% 26.30/4.47 thf(zip_derived_cl2189, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (duplicatefreeP @ (app @ sk2 @ (cons @ sk5 @ X0)))
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('simplify', [status(thm)], [zip_derived_cl2188])).
% 26.30/4.47 thf(zip_derived_cl2190, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 ( (ssItem @ X1)
% 26.30/4.47 | ~ (ssList @ (app @ sk2 @ (cons @ sk5 @ X0)))
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl2189])).
% 26.30/4.47 thf(zip_derived_cl2191, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ sk2)
% 26.30/4.47 | ~ (ssList @ (cons @ sk5 @ X0))
% 26.30/4.47 | (ssItem @ X1)
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2190])).
% 26.30/4.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 26.30/4.47 thf(zip_derived_cl2192, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ (cons @ sk5 @ X0)) | (ssItem @ X1) | ~ (ssList @ X0))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl2191, zip_derived_cl186])).
% 26.30/4.47 thf(zip_derived_cl2193, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ X0) | ~ (ssItem @ sk5) | (ssItem @ X1) | ~ (ssList @ X0))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2192])).
% 26.30/4.47 thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 26.30/4.47 thf(zip_derived_cl2194, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ X0) | (ssItem @ X1) | ~ (ssList @ X0))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl2193, zip_derived_cl192])).
% 26.30/4.47 thf(zip_derived_cl2195, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]: ( (ssItem @ X1) | ~ (ssList @ X0))),
% 26.30/4.47 inference('simplify', [status(thm)], [zip_derived_cl2194])).
% 26.30/4.47 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause13])).
% 26.30/4.47 thf(zip_derived_cl2196, plain, (![X1 : $i]: (ssItem @ X1)),
% 26.30/4.47 inference('s_sup+', [status(thm)], [zip_derived_cl2195, zip_derived_cl12])).
% 26.30/4.47 thf(zip_derived_cl16121, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((nil) = (X0))
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ~ (memberP @ X0 @ X1)
% 26.30/4.47 | (memberP @ (skaf82 @ X0) @ X1)
% 26.30/4.47 | ((X1) = (skaf83 @ X0)))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl1078, zip_derived_cl2196])).
% 26.30/4.47 thf(zip_derived_cl16142, plain,
% 26.30/4.47 ((((nil) = (sk2))
% 26.30/4.47 | ~ (ssList @ sk2)
% 26.30/4.47 | (memberP @ (skaf82 @ sk2) @ sk5)
% 26.30/4.47 | ((sk5) = (skaf83 @ sk2)))),
% 26.30/4.47 inference('s_sup-', [status(thm)],
% 26.30/4.47 [zip_derived_cl193, zip_derived_cl16121])).
% 26.30/4.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 26.30/4.47 thf(zip_derived_cl16153, plain,
% 26.30/4.47 ((((nil) = (sk2))
% 26.30/4.47 | (memberP @ (skaf82 @ sk2) @ sk5)
% 26.30/4.47 | ((sk5) = (skaf83 @ sk2)))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl16142, zip_derived_cl186])).
% 26.30/4.47 thf(zip_derived_cl108, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (ssList @ X0)
% 26.30/4.47 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 26.30/4.47 | ((nil) = (X0)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause109])).
% 26.30/4.47 thf(clause120, axiom,
% 26.30/4.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 26.30/4.47 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 26.30/4.47 thf(zip_derived_cl119, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssItem @ X0)
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause120])).
% 26.30/4.47 thf(co1_7, conjecture,
% 26.30/4.47 (~( ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 26.30/4.47 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 26.30/4.47 ( ~( ssItem @ A ) ) ))).
% 26.30/4.47 thf(zf_stmt_3, negated_conjecture,
% 26.30/4.47 (( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) |
% 26.30/4.47 ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) |
% 26.30/4.47 ( ~( ssItem @ A ) )),
% 26.30/4.47 inference('cnf.neg', [status(esa)], [co1_7])).
% 26.30/4.47 thf(zip_derived_cl191, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((app @ (cons @ X0 @ nil) @ X1) != (sk4))
% 26.30/4.47 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk3))
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssItem @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_3])).
% 26.30/4.47 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 26.30/4.47 thf(zf_stmt_4, negated_conjecture, (( sk2 ) = ( sk4 )),
% 26.30/4.47 inference('cnf.neg', [status(esa)], [co1_5])).
% 26.30/4.47 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_4])).
% 26.30/4.47 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 26.30/4.47 thf(zf_stmt_5, negated_conjecture, (( sk1 ) = ( sk3 )),
% 26.30/4.47 inference('cnf.neg', [status(esa)], [co1_6])).
% 26.30/4.47 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 26.30/4.47 thf(zip_derived_cl199, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 26.30/4.47 | ((app @ X1 @ (cons @ X0 @ nil)) = (sk1))
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssItem @ X0))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 26.30/4.47 thf(zip_derived_cl675, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ X0)
% 26.30/4.47 | ~ (ssItem @ X1)
% 26.30/4.47 | ((cons @ X1 @ X0) != (sk2))
% 26.30/4.47 | ((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ~ (ssItem @ X1))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl199])).
% 26.30/4.47 thf(zip_derived_cl679, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 26.30/4.47 | ((cons @ X1 @ X0) != (sk2))
% 26.30/4.47 | ~ (ssItem @ X1)
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('simplify', [status(thm)], [zip_derived_cl675])).
% 26.30/4.47 thf(zip_derived_cl985, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((nil) = (X0))
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ((app @ (skaf82 @ X0) @ (cons @ (skaf83 @ X0) @ nil)) = (sk1))
% 26.30/4.47 | ((X0) != (sk2))
% 26.30/4.47 | ~ (ssItem @ (skaf83 @ X0))
% 26.30/4.47 | ~ (ssList @ (skaf82 @ X0)))),
% 26.30/4.47 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl679])).
% 26.30/4.47 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause12])).
% 26.30/4.47 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause13])).
% 26.30/4.47 thf(zip_derived_cl989, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((nil) = (X0))
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ((app @ (skaf82 @ X0) @ (cons @ (skaf83 @ X0) @ nil)) = (sk1))
% 26.30/4.47 | ((X0) != (sk2)))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl985, zip_derived_cl11, zip_derived_cl12])).
% 26.30/4.47 thf(zip_derived_cl1477, plain,
% 26.30/4.47 ((((app @ (skaf82 @ sk2) @ (cons @ (skaf83 @ sk2) @ nil)) = (sk1))
% 26.30/4.47 | ~ (ssList @ sk2)
% 26.30/4.47 | ((nil) = (sk2)))),
% 26.30/4.47 inference('eq_res', [status(thm)], [zip_derived_cl989])).
% 26.30/4.47 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 26.30/4.47 thf(zip_derived_cl1478, plain,
% 26.30/4.47 ((((app @ (skaf82 @ sk2) @ (cons @ (skaf83 @ sk2) @ nil)) = (sk1))
% 26.30/4.47 | ((nil) = (sk2)))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl1477, zip_derived_cl186])).
% 26.30/4.47 thf(clause140, axiom,
% 26.30/4.47 (( ~( memberP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 26.30/4.47 ( ~( ssItem @ V ) ) | ( memberP @ ( app @ U @ W ) @ V ))).
% 26.30/4.47 thf(zip_derived_cl139, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.30/4.47 (~ (memberP @ X0 @ X1)
% 26.30/4.47 | ~ (ssList @ X2)
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ~ (ssItem @ X1)
% 26.30/4.47 | (memberP @ (app @ X0 @ X2) @ X1))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause140])).
% 26.30/4.47 thf(zip_derived_cl1494, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((nil) = (sk2))
% 26.30/4.47 | ~ (memberP @ (skaf82 @ sk2) @ X0)
% 26.30/4.47 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 26.30/4.47 | ~ (ssList @ (skaf82 @ sk2))
% 26.30/4.47 | ~ (ssItem @ X0)
% 26.30/4.47 | (memberP @ sk1 @ X0))),
% 26.30/4.47 inference('s_sup+', [status(thm)],
% 26.30/4.47 [zip_derived_cl1478, zip_derived_cl139])).
% 26.30/4.47 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause13])).
% 26.30/4.47 thf(zip_derived_cl1522, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((nil) = (sk2))
% 26.30/4.47 | ~ (memberP @ (skaf82 @ sk2) @ X0)
% 26.30/4.47 | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 26.30/4.47 | ~ (ssItem @ X0)
% 26.30/4.47 | (memberP @ sk1 @ X0))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl1494, zip_derived_cl12])).
% 26.30/4.47 thf(clause145, axiom,
% 26.30/4.47 (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) |
% 26.30/4.47 ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 26.30/4.47 thf(zip_derived_cl144, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (((nil) != (X0))
% 26.30/4.47 | ((nil) != (X1))
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ((app @ X0 @ X1) = (nil)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause145])).
% 26.30/4.47 thf(zip_derived_cl254, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((app @ nil @ X0) = (nil))
% 26.30/4.47 | ~ (ssList @ nil)
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ((nil) != (X0)))),
% 26.30/4.47 inference('eq_res', [status(thm)], [zip_derived_cl144])).
% 26.30/4.47 thf(clause8, axiom, (ssList @ nil)).
% 26.30/4.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 26.30/4.47 inference('cnf', [status(esa)], [clause8])).
% 26.30/4.47 thf(zip_derived_cl255, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((app @ nil @ X0) = (nil)) | ~ (ssList @ X0) | ((nil) != (X0)))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl254, zip_derived_cl7])).
% 26.30/4.47 thf(zip_derived_cl256, plain,
% 26.30/4.47 ((~ (ssList @ nil) | ((app @ nil @ nil) = (nil)))),
% 26.30/4.47 inference('eq_res', [status(thm)], [zip_derived_cl255])).
% 26.30/4.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 26.30/4.47 inference('cnf', [status(esa)], [clause8])).
% 26.30/4.47 thf(zip_derived_cl257, plain, (((app @ nil @ nil) = (nil))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl7])).
% 26.30/4.47 thf(clause157, axiom,
% 26.30/4.47 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 26.30/4.47 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 26.30/4.47 thf(zip_derived_cl156, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.30/4.47 (~ (ssItem @ X0)
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssList @ X2)
% 26.30/4.47 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause157])).
% 26.30/4.47 thf(zip_derived_cl84, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause85])).
% 26.30/4.47 thf(zip_derived_cl1131, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.30/4.47 (~ (ssList @ X0)
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssItem @ X2)
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | ~ (ssList @ (cons @ X2 @ X1))
% 26.30/4.47 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 26.30/4.47 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 26.30/4.47 thf(zip_derived_cl1165, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.30/4.47 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 26.30/4.47 | ~ (ssList @ (cons @ X2 @ X1))
% 26.30/4.47 | ~ (ssItem @ X2)
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('simplify', [status(thm)], [zip_derived_cl1131])).
% 26.30/4.47 thf(zip_derived_cl2196, plain, (![X1 : $i]: (ssItem @ X1)),
% 26.30/4.47 inference('s_sup+', [status(thm)], [zip_derived_cl2195, zip_derived_cl12])).
% 26.30/4.47 thf(zip_derived_cl17359, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.30/4.47 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 26.30/4.47 | ~ (ssList @ (cons @ X2 @ X1))
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssList @ X0))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl1165, zip_derived_cl2196])).
% 26.30/4.47 thf(zip_derived_cl85, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]:
% 26.30/4.47 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause86])).
% 26.30/4.47 thf(zip_derived_cl2196, plain, (![X1 : $i]: (ssItem @ X1)),
% 26.30/4.47 inference('s_sup+', [status(thm)], [zip_derived_cl2195, zip_derived_cl12])).
% 26.30/4.47 thf(zip_derived_cl2282, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl2196])).
% 26.30/4.47 thf(zip_derived_cl17360, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 26.30/4.47 (~ (ssList @ X0)
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 26.30/4.47 inference('clc', [status(thm)], [zip_derived_cl17359, zip_derived_cl2282])).
% 26.30/4.47 thf(zip_derived_cl17370, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (~ (ssList @ nil) | ~ (ssList @ nil) | (ssList @ (cons @ X0 @ nil)))),
% 26.30/4.47 inference('s_sup+', [status(thm)],
% 26.30/4.47 [zip_derived_cl257, zip_derived_cl17360])).
% 26.30/4.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 26.30/4.47 inference('cnf', [status(esa)], [clause8])).
% 26.30/4.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 26.30/4.47 inference('cnf', [status(esa)], [clause8])).
% 26.30/4.47 thf(zip_derived_cl17426, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl17370, zip_derived_cl7, zip_derived_cl7])).
% 26.30/4.47 thf(zip_derived_cl2196, plain, (![X1 : $i]: (ssItem @ X1)),
% 26.30/4.47 inference('s_sup+', [status(thm)], [zip_derived_cl2195, zip_derived_cl12])).
% 26.30/4.47 thf(zip_derived_cl28455, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((nil) = (sk2))
% 26.30/4.47 | ~ (memberP @ (skaf82 @ sk2) @ X0)
% 26.30/4.47 | (memberP @ sk1 @ X0))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl1522, zip_derived_cl17426, zip_derived_cl2196])).
% 26.30/4.47 thf(zip_derived_cl28461, plain,
% 26.30/4.47 ((((sk5) = (skaf83 @ sk2))
% 26.30/4.47 | ((nil) = (sk2))
% 26.30/4.47 | ((nil) = (sk2))
% 26.30/4.47 | (memberP @ sk1 @ sk5))),
% 26.30/4.47 inference('s_sup-', [status(thm)],
% 26.30/4.47 [zip_derived_cl16153, zip_derived_cl28455])).
% 26.30/4.47 thf(co1_10, conjecture, (memberP @ sk1 @ sk5)).
% 26.30/4.47 thf(zf_stmt_6, negated_conjecture, (~( memberP @ sk1 @ sk5 )),
% 26.30/4.47 inference('cnf.neg', [status(esa)], [co1_10])).
% 26.30/4.47 thf(zip_derived_cl194, plain, (~ (memberP @ sk1 @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_6])).
% 26.30/4.47 thf(zip_derived_cl28470, plain,
% 26.30/4.47 ((((sk5) = (skaf83 @ sk2)) | ((nil) = (sk2)) | ((nil) = (sk2)))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl28461, zip_derived_cl194])).
% 26.30/4.47 thf(zip_derived_cl28471, plain,
% 26.30/4.47 ((((nil) = (sk2)) | ((sk5) = (skaf83 @ sk2)))),
% 26.30/4.47 inference('simplify', [status(thm)], [zip_derived_cl28470])).
% 26.30/4.47 thf(zip_derived_cl1478, plain,
% 26.30/4.47 ((((app @ (skaf82 @ sk2) @ (cons @ (skaf83 @ sk2) @ nil)) = (sk1))
% 26.30/4.47 | ((nil) = (sk2)))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl1477, zip_derived_cl186])).
% 26.30/4.47 thf(clause175, axiom,
% 26.30/4.47 (( ( app @ U @ ( cons @ V @ W ) ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 26.30/4.47 ( ~( ssList @ U ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ X ) ) |
% 26.30/4.47 ( memberP @ X @ V ))).
% 26.30/4.47 thf(zip_derived_cl174, plain,
% 26.30/4.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 26.30/4.47 (((app @ X1 @ (cons @ X2 @ X3)) != (X0))
% 26.30/4.47 | ~ (ssList @ X3)
% 26.30/4.47 | ~ (ssList @ X1)
% 26.30/4.47 | ~ (ssItem @ X2)
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | (memberP @ X0 @ X2))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause175])).
% 26.30/4.47 thf(zip_derived_cl1501, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((nil) = (sk2))
% 26.30/4.47 | ((sk1) != (X0))
% 26.30/4.47 | ~ (ssList @ nil)
% 26.30/4.47 | ~ (ssList @ (skaf82 @ sk2))
% 26.30/4.47 | ~ (ssItem @ (skaf83 @ sk2))
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | (memberP @ X0 @ (skaf83 @ sk2)))),
% 26.30/4.47 inference('s_sup-', [status(thm)],
% 26.30/4.47 [zip_derived_cl1478, zip_derived_cl174])).
% 26.30/4.47 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 26.30/4.47 inference('cnf', [status(esa)], [clause8])).
% 26.30/4.47 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause13])).
% 26.30/4.47 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause12])).
% 26.30/4.47 thf(zip_derived_cl1529, plain,
% 26.30/4.47 (![X0 : $i]:
% 26.30/4.47 (((nil) = (sk2))
% 26.30/4.47 | ((sk1) != (X0))
% 26.30/4.47 | ~ (ssList @ X0)
% 26.30/4.47 | (memberP @ X0 @ (skaf83 @ sk2)))),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl1501, zip_derived_cl7, zip_derived_cl12,
% 26.30/4.47 zip_derived_cl11])).
% 26.30/4.47 thf(zip_derived_cl1662, plain,
% 26.30/4.47 (( (memberP @ sk1 @ (skaf83 @ sk2)) | ~ (ssList @ sk1) | ((nil) = (sk2)))),
% 26.30/4.47 inference('eq_res', [status(thm)], [zip_derived_cl1529])).
% 26.30/4.47 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 26.30/4.47 thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 26.30/4.47 inference('cnf.neg', [status(esa)], [co1_1])).
% 26.30/4.47 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_7])).
% 26.30/4.47 thf(zip_derived_cl1663, plain,
% 26.30/4.47 (( (memberP @ sk1 @ (skaf83 @ sk2)) | ((nil) = (sk2)))),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl1662, zip_derived_cl185])).
% 26.30/4.47 thf(zip_derived_cl28513, plain,
% 26.30/4.47 ((((nil) = (sk2)) | (memberP @ sk1 @ sk5) | ((nil) = (sk2)))),
% 26.30/4.47 inference('s_sup+', [status(thm)],
% 26.30/4.47 [zip_derived_cl28471, zip_derived_cl1663])).
% 26.30/4.47 thf(zip_derived_cl28588, plain, (( (memberP @ sk1 @ sk5) | ((nil) = (sk2)))),
% 26.30/4.47 inference('simplify', [status(thm)], [zip_derived_cl28513])).
% 26.30/4.47 thf(zip_derived_cl194, plain, (~ (memberP @ sk1 @ sk5)),
% 26.30/4.47 inference('cnf', [status(esa)], [zf_stmt_6])).
% 26.30/4.47 thf(zip_derived_cl28700, plain, (((nil) = (sk2))),
% 26.30/4.47 inference('clc', [status(thm)], [zip_derived_cl28588, zip_derived_cl194])).
% 26.30/4.47 thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 26.30/4.47 thf(zip_derived_cl70, plain,
% 26.30/4.47 (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 26.30/4.47 inference('cnf', [status(esa)], [clause71])).
% 26.30/4.47 thf(zip_derived_cl2196, plain, (![X1 : $i]: (ssItem @ X1)),
% 26.30/4.47 inference('s_sup+', [status(thm)], [zip_derived_cl2195, zip_derived_cl12])).
% 26.30/4.47 thf(zip_derived_cl2281, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 26.30/4.47 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl2196])).
% 26.30/4.47 thf(zip_derived_cl28703, plain, ($false),
% 26.30/4.47 inference('demod', [status(thm)],
% 26.30/4.47 [zip_derived_cl193, zip_derived_cl28700, zip_derived_cl2281])).
% 26.30/4.47
% 26.30/4.47 % SZS output end Refutation
% 26.30/4.47
% 26.30/4.47
% 26.30/4.47 % Terminating...
% 27.52/4.63 % Runner terminated.
% 27.52/4.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------