TSTP Solution File: SWC099-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC099-1 : 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.eezGQ6B1HK true
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:29:09 EDT 2023
% Result : Unsatisfiable 255.66s 37.26s
% Output : Refutation 255.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC099-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eezGQ6B1HK true
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 17:05:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.83/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 255.66/37.26 % Solved by fo/fo1_av.sh.
% 255.66/37.26 % done 13145 iterations in 36.450s
% 255.66/37.26 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 255.66/37.26 % SZS output start Refutation
% 255.66/37.26 thf(nil_type, type, nil: $i).
% 255.66/37.26 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 255.66/37.26 thf(cons_type, type, cons: $i > $i > $i).
% 255.66/37.26 thf(sk2_type, type, sk2: $i).
% 255.66/37.26 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 255.66/37.26 thf(equalelemsP_type, type, equalelemsP: $i > $o).
% 255.66/37.26 thf(sk4_type, type, sk4: $i).
% 255.66/37.26 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 255.66/37.26 thf(skac3_type, type, skac3: $i).
% 255.66/37.26 thf(ssItem_type, type, ssItem: $i > $o).
% 255.66/37.26 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 255.66/37.26 thf(skaf44_type, type, skaf44: $i > $i).
% 255.66/37.26 thf(skaf82_type, type, skaf82: $i > $i).
% 255.66/37.26 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 255.66/37.26 thf(sk3_type, type, sk3: $i).
% 255.66/37.26 thf(skaf83_type, type, skaf83: $i > $i).
% 255.66/37.26 thf(neq_type, type, neq: $i > $i > $o).
% 255.66/37.26 thf(app_type, type, app: $i > $i > $i).
% 255.66/37.26 thf(ssList_type, type, ssList: $i > $o).
% 255.66/37.26 thf(sk1_type, type, sk1: $i).
% 255.66/37.26 thf(singletonP_type, type, singletonP: $i > $o).
% 255.66/37.26 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 255.66/37.26 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 255.66/37.26 thf(zf_stmt_0, negated_conjecture, (ssList @ sk2),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_2])).
% 255.66/37.26 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 255.66/37.26 thf(clause109, axiom,
% 255.66/37.26 (( ~( ssList @ U ) ) |
% 255.66/37.26 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 255.66/37.26 ( ( nil ) = ( U ) ))).
% 255.66/37.26 thf(zip_derived_cl108, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 255.66/37.26 | ((nil) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause109])).
% 255.66/37.26 thf(clause120, axiom,
% 255.66/37.26 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 255.66/37.26 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 255.66/37.26 thf(zip_derived_cl119, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssItem @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause120])).
% 255.66/37.26 thf(clause144, axiom,
% 255.66/37.26 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) |
% 255.66/37.26 ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 255.66/37.26 thf(zip_derived_cl143, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (((app @ X1 @ X2) != (X0))
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (frontsegP @ X0 @ X1))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause144])).
% 255.66/37.26 thf(zip_derived_cl749, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ((cons @ X1 @ X0) != (X2))
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | (frontsegP @ X2 @ (cons @ X1 @ nil)))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl143])).
% 255.66/37.26 thf(zip_derived_cl756, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 ( (frontsegP @ X2 @ (cons @ X1 @ nil))
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ((cons @ X1 @ X0) != (X2))
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl749])).
% 255.66/37.26 thf(clause72, axiom,
% 255.66/37.26 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 255.66/37.26 thf(zip_derived_cl71, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause72])).
% 255.66/37.26 thf(zip_derived_cl198, plain,
% 255.66/37.26 ((![X1 : $i]: (ssItem @ X1)) <= ((![X1 : $i]: (ssItem @ X1)))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl71])).
% 255.66/37.26 thf(clause86, axiom,
% 255.66/37.26 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 255.66/37.26 thf(zip_derived_cl85, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause86])).
% 255.66/37.26 thf(zip_derived_cl199, plain,
% 255.66/37.26 ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0)))
% 255.66/37.26 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl71])).
% 255.66/37.26 thf(zip_derived_cl119, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssItem @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause120])).
% 255.66/37.26 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 255.66/37.26 thf(zip_derived_cl73, plain,
% 255.66/37.26 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause74])).
% 255.66/37.26 thf(clause143, axiom,
% 255.66/37.26 (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ U ) ) |
% 255.66/37.26 ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( rearsegP @ W @ V ))).
% 255.66/37.26 thf(zip_derived_cl142, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (((app @ X1 @ X2) != (X0))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (rearsegP @ X0 @ X2))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause143])).
% 255.66/37.26 thf(zip_derived_cl872, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ nil)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | (rearsegP @ X1 @ X0))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl142])).
% 255.66/37.26 thf(clause8, axiom, (ssList @ nil)).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl878, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | (rearsegP @ X1 @ X0))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl872, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl879, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 ( (rearsegP @ X1 @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl878])).
% 255.66/37.26 thf(clause131, axiom,
% 255.66/37.26 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 255.66/37.26 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 255.66/37.26 thf(zip_derived_cl130, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (rearsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause131])).
% 255.66/37.26 thf(clause101, axiom,
% 255.66/37.26 (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) |
% 255.66/37.26 ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 255.66/37.26 thf(zip_derived_cl100, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (singletonP @ X0)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause101])).
% 255.66/37.26 thf(zip_derived_cl100, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (singletonP @ X0)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause101])).
% 255.66/37.26 thf(clause179, axiom,
% 255.66/37.26 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 255.66/37.26 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 255.66/37.26 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 255.66/37.26 thf(zip_derived_cl178, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 255.66/37.26 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 255.66/37.26 | ~ (ssList @ X4)
% 255.66/37.26 | ~ (ssList @ X3)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssItem @ X2)
% 255.66/37.26 | ~ (duplicatefreeP @ X0)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause179])).
% 255.66/37.26 thf(zip_derived_cl553, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ((app @ (app @ X3 @ (cons @ (skaf44 @ X0) @ X2)) @ X0) != (X1))
% 255.66/37.26 | ~ (ssList @ nil)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X3)
% 255.66/37.26 | ~ (ssItem @ (skaf44 @ X0))
% 255.66/37.26 | ~ (duplicatefreeP @ X1)
% 255.66/37.26 | ~ (ssList @ X1))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl178])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 255.66/37.26 thf(zip_derived_cl46, plain, (![X0 : $i]: (ssItem @ (skaf44 @ X0))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause47])).
% 255.66/37.26 thf(zip_derived_cl560, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ((app @ (app @ X3 @ (cons @ (skaf44 @ X0) @ X2)) @ X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X3)
% 255.66/37.26 | ~ (duplicatefreeP @ X1)
% 255.66/37.26 | ~ (ssList @ X1))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl553, zip_derived_cl7, zip_derived_cl46])).
% 255.66/37.26 thf(zip_derived_cl602, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ((app @ (app @ X2 @ X0) @ X0) != (X1))
% 255.66/37.26 | ~ (ssList @ nil)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (duplicatefreeP @ X1)
% 255.66/37.26 | ~ (ssList @ X1))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl560])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl609, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ((app @ (app @ X2 @ X0) @ X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (duplicatefreeP @ X1)
% 255.66/37.26 | ~ (ssList @ X1))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl602, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl610, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X1)
% 255.66/37.26 | ~ (duplicatefreeP @ X1)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ((app @ (app @ X2 @ X0) @ X0) != (X1))
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl609])).
% 255.66/37.26 thf(zip_derived_cl919, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (rearsegP @ X0 @ X2)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (duplicatefreeP @ X1)
% 255.66/37.26 | ~ (ssList @ (skaf46 @ X0 @ X2))
% 255.66/37.26 | ((app @ X0 @ X2) != (X1))
% 255.66/37.26 | ~ (singletonP @ X2)
% 255.66/37.26 | ~ (ssList @ X2))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl610])).
% 255.66/37.26 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 255.66/37.26 thf(zip_derived_cl49, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause50])).
% 255.66/37.26 thf(zip_derived_cl947, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (rearsegP @ X0 @ X2)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (duplicatefreeP @ X1)
% 255.66/37.26 | ((app @ X0 @ X2) != (X1))
% 255.66/37.26 | ~ (singletonP @ X2)
% 255.66/37.26 | ~ (ssList @ X2))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl919, zip_derived_cl49])).
% 255.66/37.26 thf(zip_derived_cl948, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (singletonP @ X2)
% 255.66/37.26 | ((app @ X0 @ X2) != (X1))
% 255.66/37.26 | ~ (duplicatefreeP @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (rearsegP @ X0 @ X2)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl947])).
% 255.66/37.26 thf(zip_derived_cl962, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ((app @ X1 @ X0) != (X2))
% 255.66/37.26 | ~ (duplicatefreeP @ X2)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl879, zip_derived_cl948])).
% 255.66/37.26 thf(zip_derived_cl966, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X2)
% 255.66/37.26 | ~ (duplicatefreeP @ X2)
% 255.66/37.26 | ((app @ X1 @ X0) != (X2))
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl962])).
% 255.66/37.26 thf(zip_derived_cl1330, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ~ (duplicatefreeP @ (app @ X1 @ X0))
% 255.66/37.26 | ~ (ssList @ (app @ X1 @ X0)))),
% 255.66/37.26 inference('eq_res', [status(thm)], [zip_derived_cl966])).
% 255.66/37.26 thf(clause85, axiom,
% 255.66/37.26 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 255.66/37.26 thf(zip_derived_cl84, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause85])).
% 255.66/37.26 thf(zip_derived_cl1772, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (duplicatefreeP @ (app @ X1 @ X0))
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('clc', [status(thm)], [zip_derived_cl1330, zip_derived_cl84])).
% 255.66/37.26 thf(zip_derived_cl1781, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ~ (duplicatefreeP @ (cons @ X1 @ X0))
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ((X0) != (cons @ X1 @ nil))
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('s_sup-', [status(thm)],
% 255.66/37.26 [zip_derived_cl119, zip_derived_cl1772])).
% 255.66/37.26 thf(zip_derived_cl1794, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((X0) != (cons @ X1 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ~ (singletonP @ X0)
% 255.66/37.26 | ~ (duplicatefreeP @ (cons @ X1 @ X0))
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl1781])).
% 255.66/37.26 thf(clause116, axiom,
% 255.66/37.26 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 255.66/37.26 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 255.66/37.26 thf(zip_derived_cl115, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((cons @ X1 @ nil) != (X0))
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (singletonP @ X0))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause116])).
% 255.66/37.26 thf(zip_derived_cl2387, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ~ (duplicatefreeP @ (cons @ X1 @ X0))
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ((X0) != (cons @ X1 @ nil)))),
% 255.66/37.26 inference('clc', [status(thm)], [zip_derived_cl1794, zip_derived_cl115])).
% 255.66/37.26 thf(zip_derived_cl2390, plain,
% 255.66/37.26 ((![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ (cons @ X1 @ X0))
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ((X0) != (cons @ X1 @ nil))))
% 255.66/37.26 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 255.66/37.26 inference('s_sup-', [status(thm)],
% 255.66/37.26 [zip_derived_cl199, zip_derived_cl2387])).
% 255.66/37.26 thf(zip_derived_cl85, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause86])).
% 255.66/37.26 thf(zip_derived_cl2402, plain,
% 255.66/37.26 ((![X0 : $i, X1 : $i]:
% 255.66/37.26 (((X0) != (cons @ X1 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ~ (ssList @ X0)))
% 255.66/37.26 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 255.66/37.26 inference('clc', [status(thm)], [zip_derived_cl2390, zip_derived_cl85])).
% 255.66/37.26 thf(zip_derived_cl2405, plain,
% 255.66/37.26 ((![X0 : $i]:
% 255.66/37.26 (~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssItem @ X0)
% 255.66/37.26 | ((cons @ X0 @ nil) != (cons @ X0 @ nil))))
% 255.66/37.26 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 255.66/37.26 inference('eq_fact', [status(thm)], [zip_derived_cl2402])).
% 255.66/37.26 thf(zip_derived_cl2406, plain,
% 255.66/37.26 ((![X0 : $i]: (~ (ssItem @ X0) | ~ (ssList @ (cons @ X0 @ nil))))
% 255.66/37.26 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2405])).
% 255.66/37.26 thf(zip_derived_cl2412, plain,
% 255.66/37.26 ((![X0 : $i]: (~ (ssList @ nil) | ~ (ssItem @ X0) | ~ (ssItem @ X0)))
% 255.66/37.26 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2406])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl2414, plain,
% 255.66/37.26 ((![X0 : $i]: (~ (ssItem @ X0) | ~ (ssItem @ X0)))
% 255.66/37.26 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl2412, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl2415, plain,
% 255.66/37.26 ((![X0 : $i]: ~ (ssItem @ X0))
% 255.66/37.26 <= ((![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0))))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2414])).
% 255.66/37.26 thf(clause9, axiom, (ssItem @ skac3)).
% 255.66/37.26 thf(zip_derived_cl8, plain, ( (ssItem @ skac3)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause9])).
% 255.66/37.26 thf('0', plain, (~ (![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0)))),
% 255.66/37.26 inference('s_sup+', [status(thm)], [zip_derived_cl2415, zip_derived_cl8])).
% 255.66/37.26 thf('1', plain,
% 255.66/37.26 ((![X1 : $i]: (ssItem @ X1)) |
% 255.66/37.26 (![X0 : $i]: (~ (ssList @ X0) | (duplicatefreeP @ X0)))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl71])).
% 255.66/37.26 thf('2', plain, ((![X1 : $i]: (ssItem @ X1))),
% 255.66/37.26 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 255.66/37.26 thf(zip_derived_cl2468, plain, (![X1 : $i]: (ssItem @ X1)),
% 255.66/37.26 inference('simpl_trail', [status(thm)], [zip_derived_cl198, '2'])).
% 255.66/37.26 thf(zip_derived_cl5692, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 ( (frontsegP @ X2 @ (cons @ X1 @ nil))
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ((cons @ X1 @ X0) != (X2))
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl2468])).
% 255.66/37.26 thf(zip_derived_cl5693, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((nil) = (X0))
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (frontsegP @ X1 @ (cons @ (skaf83 @ X0) @ nil))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ (skaf82 @ X0)))),
% 255.66/37.26 inference('s_sup-', [status(thm)],
% 255.66/37.26 [zip_derived_cl108, zip_derived_cl5692])).
% 255.66/37.26 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 255.66/37.26 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause13])).
% 255.66/37.26 thf(zip_derived_cl5701, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((nil) = (X0))
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (frontsegP @ X1 @ (cons @ (skaf83 @ X0) @ nil))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ (cons @ (skaf83 @ X0) @ nil))
% 255.66/37.26 | ((X0) != (X1)))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl5693, zip_derived_cl12])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 255.66/37.26 thf(zip_derived_cl59, plain,
% 255.66/37.26 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause60])).
% 255.66/37.26 thf(clause132, axiom,
% 255.66/37.26 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 255.66/37.26 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 255.66/37.26 thf(zip_derived_cl131, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause132])).
% 255.66/37.26 thf(clause119, axiom,
% 255.66/37.26 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 255.66/37.26 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 255.66/37.26 thf(zip_derived_cl118, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((app @ X0 @ X1) != (nil))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ((nil) = (X1)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause119])).
% 255.66/37.26 thf(zip_derived_cl1031, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ((X0) != (nil))
% 255.66/37.26 | ~ (ssList @ (skaf45 @ X0 @ X1))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((nil) = (skaf45 @ X0 @ X1)))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl118])).
% 255.66/37.26 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 255.66/37.26 thf(zip_derived_cl50, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause51])).
% 255.66/37.26 thf(zip_derived_cl1056, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ((X0) != (nil))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((nil) = (skaf45 @ X0 @ X1)))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl1031, zip_derived_cl50])).
% 255.66/37.26 thf(zip_derived_cl1057, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((nil) = (skaf45 @ X0 @ X1))
% 255.66/37.26 | ((X0) != (nil))
% 255.66/37.26 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl1056])).
% 255.66/37.26 thf(zip_derived_cl131, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause132])).
% 255.66/37.26 thf(zip_derived_cl2217, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ((X0) != (nil))
% 255.66/37.26 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ((app @ X1 @ nil) = (X0)))),
% 255.66/37.26 inference('s_sup+', [status(thm)],
% 255.66/37.26 [zip_derived_cl1057, zip_derived_cl131])).
% 255.66/37.26 thf(zip_derived_cl2224, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((app @ X1 @ nil) = (X0))
% 255.66/37.26 | ((X0) != (nil))
% 255.66/37.26 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2217])).
% 255.66/37.26 thf(zip_derived_cl2341, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((app @ nil @ nil) = (X0))
% 255.66/37.26 | ((X0) != (nil))
% 255.66/37.26 | ~ (ssList @ nil)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl2224])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl2350, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((app @ nil @ nil) = (X0))
% 255.66/37.26 | ((X0) != (nil))
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl2341, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl2351, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((X0) != (nil)) | ((app @ nil @ nil) = (X0)) | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2350])).
% 255.66/37.26 thf(zip_derived_cl2585, plain,
% 255.66/37.26 ((((nil) != (nil)) | ((app @ nil @ nil) = (nil)))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl2351])).
% 255.66/37.26 thf(zip_derived_cl2616, plain, (((app @ nil @ nil) = (nil))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2585])).
% 255.66/37.26 thf(clause157, axiom,
% 255.66/37.26 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 255.66/37.26 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 255.66/37.26 thf(zip_derived_cl156, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssItem @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause157])).
% 255.66/37.26 thf(zip_derived_cl84, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause85])).
% 255.66/37.26 thf(zip_derived_cl2253, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssItem @ X2)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ (cons @ X2 @ X1))
% 255.66/37.26 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 255.66/37.26 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 255.66/37.26 thf(zip_derived_cl2295, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 255.66/37.26 | ~ (ssList @ (cons @ X2 @ X1))
% 255.66/37.26 | ~ (ssItem @ X2)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2253])).
% 255.66/37.26 thf(zip_derived_cl2468, plain, (![X1 : $i]: (ssItem @ X1)),
% 255.66/37.26 inference('simpl_trail', [status(thm)], [zip_derived_cl198, '2'])).
% 255.66/37.26 thf(zip_derived_cl27291, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 255.66/37.26 | ~ (ssList @ (cons @ X2 @ X1))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl2295, zip_derived_cl2468])).
% 255.66/37.26 thf(zip_derived_cl85, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause86])).
% 255.66/37.26 thf(zip_derived_cl2468, plain, (![X1 : $i]: (ssItem @ X1)),
% 255.66/37.26 inference('simpl_trail', [status(thm)], [zip_derived_cl198, '2'])).
% 255.66/37.26 thf(zip_derived_cl2516, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]: (~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl2468])).
% 255.66/37.26 thf(zip_derived_cl27292, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 255.66/37.26 inference('clc', [status(thm)], [zip_derived_cl27291, zip_derived_cl2516])).
% 255.66/37.26 thf(zip_derived_cl27318, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssList @ nil) | ~ (ssList @ nil) | (ssList @ (cons @ X0 @ nil)))),
% 255.66/37.26 inference('s_sup+', [status(thm)],
% 255.66/37.26 [zip_derived_cl2616, zip_derived_cl27292])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl27366, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl27318, zip_derived_cl7, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl142538, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((nil) = (X0))
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (frontsegP @ X1 @ (cons @ (skaf83 @ X0) @ nil))
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((X0) != (X1)))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl5701, zip_derived_cl27366])).
% 255.66/37.26 thf(clause100, axiom,
% 255.66/37.26 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 255.66/37.26 ( ( V ) = ( U ) ))).
% 255.66/37.26 thf(zip_derived_cl99, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause100])).
% 255.66/37.26 thf(co1_9, conjecture,
% 255.66/37.26 (~( ( ~( equalelemsP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) |
% 255.66/37.26 ( ~( frontsegP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) |
% 255.66/37.26 ( ~( ssList @ A ) ) ))).
% 255.66/37.26 thf(zf_stmt_1, negated_conjecture,
% 255.66/37.26 (( ~( equalelemsP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) |
% 255.66/37.26 ( ~( frontsegP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) |
% 255.66/37.26 ( ~( ssList @ A ) )),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_9])).
% 255.66/37.26 thf(zip_derived_cl193, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (equalelemsP @ X0)
% 255.66/37.26 | ~ (segmentP @ X0 @ sk3)
% 255.66/37.26 | ~ (frontsegP @ sk4 @ X0)
% 255.66/37.26 | ~ (neq @ sk3 @ X0)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_1])).
% 255.66/37.26 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 255.66/37.26 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_6])).
% 255.66/37.26 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_2])).
% 255.66/37.26 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 255.66/37.26 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_5])).
% 255.66/37.26 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_3])).
% 255.66/37.26 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_2])).
% 255.66/37.26 thf(zip_derived_cl256, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (equalelemsP @ X0)
% 255.66/37.26 | ~ (segmentP @ X0 @ sk1)
% 255.66/37.26 | ~ (frontsegP @ sk2 @ X0)
% 255.66/37.26 | ~ (neq @ sk1 @ X0)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl193, zip_derived_cl190, zip_derived_cl189,
% 255.66/37.26 zip_derived_cl190])).
% 255.66/37.26 thf(co1_11, conjecture,
% 255.66/37.26 (~( ( ~( frontsegP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 255.66/37.26 ( ( nil ) = ( sk2 ) ) ))).
% 255.66/37.26 thf(zf_stmt_4, negated_conjecture,
% 255.66/37.26 (( ~( frontsegP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 255.66/37.26 ( ( nil ) = ( sk2 ) )),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_11])).
% 255.66/37.26 thf(zip_derived_cl195, plain,
% 255.66/37.26 ((~ (frontsegP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil) | ((nil) = (sk2)))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_4])).
% 255.66/37.26 thf(zip_derived_cl202, plain,
% 255.66/37.26 ((~ (neq @ sk1 @ nil)) <= (~ ( (neq @ sk1 @ nil)))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl195])).
% 255.66/37.26 thf(co1_7, conjecture, (~( frontsegP @ sk4 @ sk3 ))).
% 255.66/37.26 thf(zf_stmt_5, negated_conjecture, (frontsegP @ sk4 @ sk3),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_7])).
% 255.66/37.26 thf(zip_derived_cl191, plain, ( (frontsegP @ sk4 @ sk3)),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_5])).
% 255.66/37.26 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_3])).
% 255.66/37.26 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_2])).
% 255.66/37.26 thf(zip_derived_cl216, plain, ( (frontsegP @ sk2 @ sk1)),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 255.66/37.26 thf(zip_derived_cl203, plain,
% 255.66/37.26 ((~ (frontsegP @ sk2 @ sk1)) <= (~ ( (frontsegP @ sk2 @ sk1)))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl195])).
% 255.66/37.26 thf('3', plain, (( (frontsegP @ sk2 @ sk1))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl203])).
% 255.66/37.26 thf(co1_10, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) = ( sk2 ) ) ))).
% 255.66/37.26 thf(zf_stmt_6, negated_conjecture,
% 255.66/37.26 (( neq @ sk2 @ nil ) | ( ( nil ) = ( sk2 ) )),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_10])).
% 255.66/37.26 thf(zip_derived_cl194, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_6])).
% 255.66/37.26 thf(zip_derived_cl201, plain, ((((nil) = (sk2))) <= ((((nil) = (sk2))))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl194])).
% 255.66/37.26 thf(zip_derived_cl200, plain,
% 255.66/37.26 (( (neq @ sk2 @ nil)) <= (( (neq @ sk2 @ nil)))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl194])).
% 255.66/37.26 thf(zip_derived_cl211, plain,
% 255.66/37.26 (( (neq @ nil @ nil)) <= (( (neq @ sk2 @ nil)) & (((nil) = (sk2))))),
% 255.66/37.26 inference('s_sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl200])).
% 255.66/37.26 thf(clause115, axiom,
% 255.66/37.26 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 255.66/37.26 ( ~( ssList @ U ) ))).
% 255.66/37.26 thf(zip_derived_cl114, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((X1) != (X0))
% 255.66/37.26 | ~ (neq @ X1 @ X0)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause115])).
% 255.66/37.26 thf(zip_derived_cl241, plain,
% 255.66/37.26 (((((nil) != (nil)) | ~ (ssList @ nil) | ~ (ssList @ nil)))
% 255.66/37.26 <= (( (neq @ sk2 @ nil)) & (((nil) = (sk2))))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl211, zip_derived_cl114])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl243, plain,
% 255.66/37.26 ((((nil) != (nil))) <= (( (neq @ sk2 @ nil)) & (((nil) = (sk2))))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl241, zip_derived_cl7, zip_derived_cl7])).
% 255.66/37.26 thf('4', plain, (~ (((nil) = (sk2))) | ~ ( (neq @ sk2 @ nil))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 255.66/37.26 thf(zip_derived_cl201, plain, ((((nil) = (sk2))) <= ((((nil) = (sk2))))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl194])).
% 255.66/37.26 thf(zip_derived_cl216, plain, ( (frontsegP @ sk2 @ sk1)),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 255.66/37.26 thf(zip_derived_cl218, plain,
% 255.66/37.26 (( (frontsegP @ nil @ sk1)) <= ((((nil) = (sk2))))),
% 255.66/37.26 inference('s_sup+', [status(thm)], [zip_derived_cl201, zip_derived_cl216])).
% 255.66/37.26 thf(clause84, axiom,
% 255.66/37.26 (( ~( frontsegP @ nil @ U ) ) | ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 255.66/37.26 thf(zip_derived_cl83, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (frontsegP @ nil @ X0) | ~ (ssList @ X0) | ((nil) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause84])).
% 255.66/37.26 thf(zip_derived_cl219, plain,
% 255.66/37.26 (((~ (ssList @ sk1) | ((nil) = (sk1)))) <= ((((nil) = (sk2))))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl83])).
% 255.66/37.26 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 255.66/37.26 thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_1])).
% 255.66/37.26 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_7])).
% 255.66/37.26 thf(zip_derived_cl220, plain, ((((nil) = (sk1))) <= ((((nil) = (sk2))))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl185])).
% 255.66/37.26 thf(co1_12, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 255.66/37.26 thf(zf_stmt_8, negated_conjecture,
% 255.66/37.26 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 255.66/37.26 inference('cnf.neg', [status(esa)], [co1_12])).
% 255.66/37.26 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_8])).
% 255.66/37.26 thf(zip_derived_cl206, plain, ((((nil) != (sk1))) <= (~ (((nil) = (sk1))))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl196])).
% 255.66/37.26 thf(zip_derived_cl224, plain,
% 255.66/37.26 ((((nil) != (nil))) <= (~ (((nil) = (sk1))) & (((nil) = (sk2))))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl206])).
% 255.66/37.26 thf('5', plain, ((((nil) = (sk1))) | ~ (((nil) = (sk2)))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl224])).
% 255.66/37.26 thf('6', plain, (( (neq @ sk2 @ nil)) | ~ (((nil) = (sk1)))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl196])).
% 255.66/37.26 thf('7', plain,
% 255.66/37.26 (~ ( (neq @ sk1 @ nil)) | (((nil) = (sk2))) |
% 255.66/37.26 ~ ( (frontsegP @ sk2 @ sk1))),
% 255.66/37.26 inference('split', [status(esa)], [zip_derived_cl195])).
% 255.66/37.26 thf('8', plain, (~ ( (neq @ sk1 @ nil))),
% 255.66/37.26 inference('sat_resolution*', [status(thm)], ['3', '4', '5', '6', '7'])).
% 255.66/37.26 thf(zip_derived_cl249, plain, (~ (neq @ sk1 @ nil)),
% 255.66/37.26 inference('simpl_trail', [status(thm)], [zip_derived_cl202, '8'])).
% 255.66/37.26 thf(zip_derived_cl99, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause100])).
% 255.66/37.26 thf(zip_derived_cl332, plain,
% 255.66/37.26 ((~ (ssList @ nil) | ~ (ssList @ sk1) | ((sk1) = (nil)))),
% 255.66/37.26 inference('s_sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl99])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_7])).
% 255.66/37.26 thf(zip_derived_cl336, plain, (((sk1) = (nil))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl332, zip_derived_cl7, zip_derived_cl185])).
% 255.66/37.26 thf(zip_derived_cl336, plain, (((sk1) = (nil))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl332, zip_derived_cl7, zip_derived_cl185])).
% 255.66/37.26 thf(zip_derived_cl350, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (equalelemsP @ X0)
% 255.66/37.26 | ~ (segmentP @ X0 @ nil)
% 255.66/37.26 | ~ (frontsegP @ sk2 @ X0)
% 255.66/37.26 | ~ (neq @ nil @ X0)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl256, zip_derived_cl336, zip_derived_cl336])).
% 255.66/37.26 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 255.66/37.26 thf(zip_derived_cl55, plain,
% 255.66/37.26 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause56])).
% 255.66/37.26 thf(zip_derived_cl365, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (neq @ nil @ X0)
% 255.66/37.26 | ~ (frontsegP @ sk2 @ X0)
% 255.66/37.26 | ~ (equalelemsP @ X0))),
% 255.66/37.26 inference('clc', [status(thm)], [zip_derived_cl350, zip_derived_cl55])).
% 255.66/37.26 thf(clause64, axiom,
% 255.66/37.26 (( ~( ssItem @ U ) ) | ( equalelemsP @ ( cons @ U @ nil ) ))).
% 255.66/37.26 thf(zip_derived_cl63, plain,
% 255.66/37.26 (![X0 : $i]: (~ (ssItem @ X0) | (equalelemsP @ (cons @ X0 @ nil)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause64])).
% 255.66/37.26 thf(zip_derived_cl367, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (frontsegP @ sk2 @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (neq @ nil @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssItem @ X0))),
% 255.66/37.26 inference('s_sup+', [status(thm)], [zip_derived_cl365, zip_derived_cl63])).
% 255.66/37.26 thf(zip_derived_cl403, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((nil) = (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssList @ nil)
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (frontsegP @ sk2 @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssItem @ X0))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl367])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl405, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((nil) = (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (frontsegP @ sk2 @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssItem @ X0))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl406, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssItem @ X0)
% 255.66/37.26 | ~ (frontsegP @ sk2 @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ((nil) = (cons @ X0 @ nil)))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl405])).
% 255.66/37.26 thf(zip_derived_cl2468, plain, (![X1 : $i]: (ssItem @ X1)),
% 255.66/37.26 inference('simpl_trail', [status(thm)], [zip_derived_cl198, '2'])).
% 255.66/37.26 thf(zip_derived_cl2559, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (frontsegP @ sk2 @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ((nil) = (cons @ X0 @ nil)))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl406, zip_derived_cl2468])).
% 255.66/37.26 thf(clause65, axiom,
% 255.66/37.26 (( ~( ssItem @ U ) ) | ( duplicatefreeP @ ( cons @ U @ nil ) ))).
% 255.66/37.26 thf(zip_derived_cl64, plain,
% 255.66/37.26 (![X0 : $i]: (~ (ssItem @ X0) | (duplicatefreeP @ (cons @ X0 @ nil)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause65])).
% 255.66/37.26 thf(zip_derived_cl2387, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (ssItem @ X1)
% 255.66/37.26 | ~ (duplicatefreeP @ (cons @ X1 @ X0))
% 255.66/37.26 | ~ (ssList @ (cons @ X1 @ nil))
% 255.66/37.26 | ((X0) != (cons @ X1 @ nil)))),
% 255.66/37.26 inference('clc', [status(thm)], [zip_derived_cl1794, zip_derived_cl115])).
% 255.66/37.26 thf(zip_derived_cl2391, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssItem @ X0)
% 255.66/37.26 | ~ (ssList @ nil)
% 255.66/37.26 | ~ (ssItem @ X0)
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ((nil) != (cons @ X0 @ nil)))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl2387])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl2395, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssItem @ X0)
% 255.66/37.26 | ~ (ssItem @ X0)
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ((nil) != (cons @ X0 @ nil)))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl2391, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl2396, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((nil) != (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (ssItem @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2395])).
% 255.66/37.26 thf(zip_derived_cl2468, plain, (![X1 : $i]: (ssItem @ X1)),
% 255.66/37.26 inference('simpl_trail', [status(thm)], [zip_derived_cl198, '2'])).
% 255.66/37.26 thf(zip_derived_cl2853, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((nil) != (cons @ X0 @ nil)) | ~ (ssList @ (cons @ X0 @ nil)))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl2396, zip_derived_cl2468])).
% 255.66/37.26 thf(zip_derived_cl2866, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssList @ (cons @ X0 @ nil))
% 255.66/37.26 | ~ (frontsegP @ sk2 @ (cons @ X0 @ nil)))),
% 255.66/37.26 inference('clc', [status(thm)], [zip_derived_cl2559, zip_derived_cl2853])).
% 255.66/37.26 thf(zip_derived_cl27366, plain, (![X0 : $i]: (ssList @ (cons @ X0 @ nil))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl27318, zip_derived_cl7, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl27385, plain,
% 255.66/37.26 (![X0 : $i]: ~ (frontsegP @ sk2 @ (cons @ X0 @ nil))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl2866, zip_derived_cl27366])).
% 255.66/37.26 thf(zip_derived_cl142620, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((X0) != (sk2)) | ~ (ssList @ sk2) | ~ (ssList @ X0) | ((nil) = (X0)))),
% 255.66/37.26 inference('s_sup-', [status(thm)],
% 255.66/37.26 [zip_derived_cl142538, zip_derived_cl27385])).
% 255.66/37.26 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 255.66/37.26 thf(zip_derived_cl142781, plain,
% 255.66/37.26 (![X0 : $i]: (((X0) != (sk2)) | ~ (ssList @ X0) | ((nil) = (X0)))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl142620, zip_derived_cl186])).
% 255.66/37.26 thf(clause83, axiom,
% 255.66/37.26 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( frontsegP @ nil @ U ))).
% 255.66/37.26 thf(zip_derived_cl82, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ nil @ X0))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause83])).
% 255.66/37.26 thf(zip_derived_cl2224, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (((app @ X1 @ nil) = (X0))
% 255.66/37.26 | ((X0) != (nil))
% 255.66/37.26 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2217])).
% 255.66/37.26 thf(zip_derived_cl2342, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((nil) != (X0))
% 255.66/37.26 | ((app @ X0 @ nil) = (nil))
% 255.66/37.26 | ((nil) != (nil))
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ nil))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl2224])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl2352, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((nil) != (X0))
% 255.66/37.26 | ((app @ X0 @ nil) = (nil))
% 255.66/37.26 | ((nil) != (nil))
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl2342, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl2353, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((app @ X0 @ nil) = (nil)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl2352])).
% 255.66/37.26 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 255.66/37.26 thf(zip_derived_cl72, plain,
% 255.66/37.26 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause73])).
% 255.66/37.26 thf(zip_derived_cl143, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (((app @ X1 @ X2) != (X0))
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (frontsegP @ X0 @ X1))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause144])).
% 255.66/37.26 thf(zip_derived_cl747, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ nil)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | (frontsegP @ X1 @ X0))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl143])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl752, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | (frontsegP @ X1 @ X0))),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl747, zip_derived_cl7])).
% 255.66/37.26 thf(zip_derived_cl753, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 ( (frontsegP @ X1 @ X0)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ((X0) != (X1))
% 255.66/37.26 | ~ (ssList @ X0))),
% 255.66/37.26 inference('simplify', [status(thm)], [zip_derived_cl752])).
% 255.66/37.26 thf(clause137, axiom,
% 255.66/37.26 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) |
% 255.66/37.26 ( ~( ssList @ U ) ) | ( frontsegP @ ( app @ U @ W ) @ V ))).
% 255.66/37.26 thf(zip_derived_cl136, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (frontsegP @ (app @ X0 @ X2) @ X1))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause137])).
% 255.66/37.26 thf(zip_derived_cl82, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ nil @ X0))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause83])).
% 255.66/37.26 thf(zip_derived_cl216, plain, ( (frontsegP @ sk2 @ sk1)),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 255.66/37.26 thf(zip_derived_cl336, plain, (((sk1) = (nil))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl332, zip_derived_cl7, zip_derived_cl185])).
% 255.66/37.26 thf(zip_derived_cl348, plain, ( (frontsegP @ sk2 @ nil)),
% 255.66/37.26 inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl336])).
% 255.66/37.26 thf(clause154, axiom,
% 255.66/37.26 (( ~( frontsegP @ U @ V ) ) | ( ~( frontsegP @ V @ W ) ) |
% 255.66/37.26 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 255.66/37.26 ( frontsegP @ U @ W ))).
% 255.66/37.26 thf(zip_derived_cl153, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (frontsegP @ X1 @ X2)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (frontsegP @ X0 @ X2))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause154])).
% 255.66/37.26 thf(zip_derived_cl1600, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (frontsegP @ nil @ X0)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ nil)
% 255.66/37.26 | ~ (ssList @ sk2)
% 255.66/37.26 | (frontsegP @ sk2 @ X0))),
% 255.66/37.26 inference('s_sup-', [status(thm)], [zip_derived_cl348, zip_derived_cl153])).
% 255.66/37.26 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.26 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.26 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 255.66/37.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 255.66/37.26 thf(zip_derived_cl1613, plain,
% 255.66/37.26 (![X0 : $i]:
% 255.66/37.26 (~ (frontsegP @ nil @ X0) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0))),
% 255.66/37.26 inference('demod', [status(thm)],
% 255.66/37.26 [zip_derived_cl1600, zip_derived_cl7, zip_derived_cl186])).
% 255.66/37.26 thf(zip_derived_cl153, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 255.66/37.26 (~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (frontsegP @ X1 @ X2)
% 255.66/37.26 | ~ (ssList @ X2)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | (frontsegP @ X0 @ X2))),
% 255.66/37.26 inference('cnf', [status(esa)], [clause154])).
% 255.66/37.26 thf(zip_derived_cl1615, plain,
% 255.66/37.26 (![X0 : $i, X1 : $i]:
% 255.66/37.26 (~ (ssList @ X0)
% 255.66/37.26 | ~ (frontsegP @ nil @ X0)
% 255.66/37.26 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.26 | ~ (ssList @ X1)
% 255.66/37.26 | ~ (ssList @ X0)
% 255.66/37.26 | ~ (ssList @ sk2)
% 255.66/37.26 | (frontsegP @ sk2 @ X1))),
% 255.66/37.26 inference('s_sup-', [status(thm)],
% 255.66/37.26 [zip_derived_cl1613, zip_derived_cl153])).
% 255.66/37.27 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 255.66/37.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 255.66/37.27 thf(zip_derived_cl1622, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (~ (ssList @ X0)
% 255.66/37.27 | ~ (frontsegP @ nil @ X0)
% 255.66/37.27 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.27 | ~ (ssList @ X1)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | (frontsegP @ sk2 @ X1))),
% 255.66/37.27 inference('demod', [status(thm)], [zip_derived_cl1615, zip_derived_cl186])).
% 255.66/37.27 thf(zip_derived_cl1623, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 ( (frontsegP @ sk2 @ X1)
% 255.66/37.27 | ~ (ssList @ X1)
% 255.66/37.27 | ~ (frontsegP @ X0 @ X1)
% 255.66/37.27 | ~ (frontsegP @ nil @ X0)
% 255.66/37.27 | ~ (ssList @ X0))),
% 255.66/37.27 inference('simplify', [status(thm)], [zip_derived_cl1622])).
% 255.66/37.27 thf(zip_derived_cl1710, plain,
% 255.66/37.27 (![X0 : $i]:
% 255.66/37.27 (~ (ssList @ X0)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | (frontsegP @ sk2 @ X0)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ~ (frontsegP @ nil @ nil)
% 255.66/37.27 | ~ (ssList @ nil))),
% 255.66/37.27 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl1623])).
% 255.66/37.27 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.27 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.27 thf(zip_derived_cl1720, plain,
% 255.66/37.27 (![X0 : $i]:
% 255.66/37.27 (~ (ssList @ X0)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | (frontsegP @ sk2 @ X0)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ~ (frontsegP @ nil @ nil))),
% 255.66/37.27 inference('demod', [status(thm)], [zip_derived_cl1710, zip_derived_cl7])).
% 255.66/37.27 thf(zip_derived_cl1721, plain,
% 255.66/37.27 (![X0 : $i]:
% 255.66/37.27 (~ (frontsegP @ nil @ nil)
% 255.66/37.27 | (frontsegP @ sk2 @ X0)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | ~ (ssList @ X0))),
% 255.66/37.27 inference('simplify', [status(thm)], [zip_derived_cl1720])).
% 255.66/37.27 thf(zip_derived_cl1805, plain,
% 255.66/37.27 ((![X0 : $i]:
% 255.66/37.27 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0)))
% 255.66/37.27 <= ((![X0 : $i]:
% 255.66/37.27 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0))))),
% 255.66/37.27 inference('split', [status(esa)], [zip_derived_cl1721])).
% 255.66/37.27 thf(clause129, axiom,
% 255.66/37.27 (( ~( frontsegP @ U @ V ) ) | ( ~( frontsegP @ V @ U ) ) |
% 255.66/37.27 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 255.66/37.27 thf(zip_derived_cl128, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (~ (frontsegP @ X0 @ X1)
% 255.66/37.27 | ~ (frontsegP @ X1 @ X0)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ~ (ssList @ X1)
% 255.66/37.27 | ((X1) = (X0)))),
% 255.66/37.27 inference('cnf', [status(esa)], [clause129])).
% 255.66/37.27 thf(zip_derived_cl1807, plain,
% 255.66/37.27 ((![X0 : $i]:
% 255.66/37.27 (~ (ssList @ X0)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | ~ (frontsegP @ X0 @ sk2)
% 255.66/37.27 | ~ (ssList @ sk2)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ((X0) = (sk2))))
% 255.66/37.27 <= ((![X0 : $i]:
% 255.66/37.27 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0))))),
% 255.66/37.27 inference('s_sup-', [status(thm)],
% 255.66/37.27 [zip_derived_cl1805, zip_derived_cl128])).
% 255.66/37.27 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 255.66/37.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 255.66/37.27 thf(zip_derived_cl1815, plain,
% 255.66/37.27 ((![X0 : $i]:
% 255.66/37.27 (~ (ssList @ X0)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | ~ (frontsegP @ X0 @ sk2)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ((X0) = (sk2))))
% 255.66/37.27 <= ((![X0 : $i]:
% 255.66/37.27 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0))))),
% 255.66/37.27 inference('demod', [status(thm)], [zip_derived_cl1807, zip_derived_cl186])).
% 255.66/37.27 thf(zip_derived_cl1816, plain,
% 255.66/37.27 ((![X0 : $i]:
% 255.66/37.27 (((X0) = (sk2))
% 255.66/37.27 | ~ (frontsegP @ X0 @ sk2)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | ~ (ssList @ X0)))
% 255.66/37.27 <= ((![X0 : $i]:
% 255.66/37.27 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0))))),
% 255.66/37.27 inference('simplify', [status(thm)], [zip_derived_cl1815])).
% 255.66/37.27 thf(clause61, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ U ))).
% 255.66/37.27 thf(zip_derived_cl60, plain,
% 255.66/37.27 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ X0))),
% 255.66/37.27 inference('cnf', [status(esa)], [clause61])).
% 255.66/37.27 thf(zip_derived_cl1806, plain,
% 255.66/37.27 ((~ (frontsegP @ nil @ nil)) <= (~ ( (frontsegP @ nil @ nil)))),
% 255.66/37.27 inference('split', [status(esa)], [zip_derived_cl1721])).
% 255.66/37.27 thf(zip_derived_cl1834, plain,
% 255.66/37.27 ((~ (ssList @ nil)) <= (~ ( (frontsegP @ nil @ nil)))),
% 255.66/37.27 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl1806])).
% 255.66/37.27 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.27 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.27 thf('9', plain, (( (frontsegP @ nil @ nil))),
% 255.66/37.27 inference('demod', [status(thm)], [zip_derived_cl1834, zip_derived_cl7])).
% 255.66/37.27 thf('10', plain,
% 255.66/37.27 ((![X0 : $i]:
% 255.66/37.27 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0))) |
% 255.66/37.27 ~ ( (frontsegP @ nil @ nil))),
% 255.66/37.27 inference('split', [status(esa)], [zip_derived_cl1721])).
% 255.66/37.27 thf('11', plain,
% 255.66/37.27 ((![X0 : $i]:
% 255.66/37.27 (((nil) != (X0)) | ~ (ssList @ X0) | (frontsegP @ sk2 @ X0)))),
% 255.66/37.27 inference('sat_resolution*', [status(thm)], ['9', '10'])).
% 255.66/37.27 thf(zip_derived_cl1862, plain,
% 255.66/37.27 (![X0 : $i]:
% 255.66/37.27 (((X0) = (sk2))
% 255.66/37.27 | ~ (frontsegP @ X0 @ sk2)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | ~ (ssList @ X0))),
% 255.66/37.27 inference('simpl_trail', [status(thm)], [zip_derived_cl1816, '11'])).
% 255.66/37.27 thf(zip_derived_cl1873, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (~ (ssList @ X1)
% 255.66/37.27 | ~ (ssList @ sk2)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ~ (frontsegP @ X1 @ sk2)
% 255.66/37.27 | ((app @ X1 @ X0) = (sk2))
% 255.66/37.27 | ((nil) != (app @ X1 @ X0))
% 255.66/37.27 | ~ (ssList @ (app @ X1 @ X0)))),
% 255.66/37.27 inference('s_sup-', [status(thm)],
% 255.66/37.27 [zip_derived_cl136, zip_derived_cl1862])).
% 255.66/37.27 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 255.66/37.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 255.66/37.27 thf(zip_derived_cl1883, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (~ (ssList @ X1)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ~ (frontsegP @ X1 @ sk2)
% 255.66/37.27 | ((app @ X1 @ X0) = (sk2))
% 255.66/37.27 | ((nil) != (app @ X1 @ X0))
% 255.66/37.27 | ~ (ssList @ (app @ X1 @ X0)))),
% 255.66/37.27 inference('demod', [status(thm)], [zip_derived_cl1873, zip_derived_cl186])).
% 255.66/37.27 thf(zip_derived_cl84, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 255.66/37.27 inference('cnf', [status(esa)], [clause85])).
% 255.66/37.27 thf(zip_derived_cl3379, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (((nil) != (app @ X1 @ X0))
% 255.66/37.27 | ((app @ X1 @ X0) = (sk2))
% 255.66/37.27 | ~ (frontsegP @ X1 @ sk2)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ~ (ssList @ X1))),
% 255.66/37.27 inference('clc', [status(thm)], [zip_derived_cl1883, zip_derived_cl84])).
% 255.66/37.27 thf(zip_derived_cl3381, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (~ (ssList @ sk2)
% 255.66/37.27 | ((sk2) != (X0))
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ((nil) != (app @ X0 @ X1))
% 255.66/37.27 | ((app @ X0 @ X1) = (sk2))
% 255.66/37.27 | ~ (ssList @ X1)
% 255.66/37.27 | ~ (ssList @ X0))),
% 255.66/37.27 inference('s_sup-', [status(thm)],
% 255.66/37.27 [zip_derived_cl753, zip_derived_cl3379])).
% 255.66/37.27 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 255.66/37.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 255.66/37.27 thf(zip_derived_cl3388, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (((sk2) != (X0))
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ((nil) != (app @ X0 @ X1))
% 255.66/37.27 | ((app @ X0 @ X1) = (sk2))
% 255.66/37.27 | ~ (ssList @ X1)
% 255.66/37.27 | ~ (ssList @ X0))),
% 255.66/37.27 inference('demod', [status(thm)], [zip_derived_cl3381, zip_derived_cl186])).
% 255.66/37.27 thf(zip_derived_cl3389, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (~ (ssList @ X1)
% 255.66/37.27 | ((app @ X0 @ X1) = (sk2))
% 255.66/37.27 | ((nil) != (app @ X0 @ X1))
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ((sk2) != (X0)))),
% 255.66/37.27 inference('simplify', [status(thm)], [zip_derived_cl3388])).
% 255.66/37.27 thf(zip_derived_cl3472, plain,
% 255.66/37.27 (![X0 : $i]:
% 255.66/37.27 (~ (ssList @ X0)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | ~ (ssList @ nil)
% 255.66/37.27 | ((nil) = (sk2))
% 255.66/37.27 | ((nil) != (nil))
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ((sk2) != (X0)))),
% 255.66/37.27 inference('s_sup-', [status(thm)],
% 255.66/37.27 [zip_derived_cl2353, zip_derived_cl3389])).
% 255.66/37.27 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.27 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.27 thf(zip_derived_cl3492, plain,
% 255.66/37.27 (![X0 : $i]:
% 255.66/37.27 (~ (ssList @ X0)
% 255.66/37.27 | ((nil) != (X0))
% 255.66/37.27 | ((nil) = (sk2))
% 255.66/37.27 | ((nil) != (nil))
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ((sk2) != (X0)))),
% 255.66/37.27 inference('demod', [status(thm)], [zip_derived_cl3472, zip_derived_cl7])).
% 255.66/37.27 thf(zip_derived_cl3493, plain,
% 255.66/37.27 (![X0 : $i]:
% 255.66/37.27 (((sk2) != (X0)) | ((nil) = (sk2)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 255.66/37.27 inference('simplify', [status(thm)], [zip_derived_cl3492])).
% 255.66/37.27 thf(zip_derived_cl200, plain,
% 255.66/37.27 (( (neq @ sk2 @ nil)) <= (( (neq @ sk2 @ nil)))),
% 255.66/37.27 inference('split', [status(esa)], [zip_derived_cl194])).
% 255.66/37.27 thf(zip_derived_cl114, plain,
% 255.66/37.27 (![X0 : $i, X1 : $i]:
% 255.66/37.27 (((X1) != (X0))
% 255.66/37.27 | ~ (neq @ X1 @ X0)
% 255.66/37.27 | ~ (ssList @ X0)
% 255.66/37.27 | ~ (ssList @ X1))),
% 255.66/37.27 inference('cnf', [status(esa)], [clause115])).
% 255.66/37.27 thf(zip_derived_cl242, plain,
% 255.66/37.27 (((((sk2) != (nil)) | ~ (ssList @ nil) | ~ (ssList @ sk2)))
% 255.66/37.27 <= (( (neq @ sk2 @ nil)))),
% 255.66/37.27 inference('s_sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl114])).
% 255.66/37.27 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 255.66/37.27 inference('cnf', [status(esa)], [clause8])).
% 255.66/37.27 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 255.66/37.27 inference('cnf', [status(esa)], [zf_stmt_0])).
% 255.66/37.27 thf(zip_derived_cl245, plain, ((((sk2) != (nil))) <= (( (neq @ sk2 @ nil)))),
% 255.66/37.27 inference('demod', [status(thm)],
% 255.66/37.27 [zip_derived_cl242, zip_derived_cl7, zip_derived_cl186])).
% 255.66/37.27 thf('12', plain, (( (neq @ sk2 @ nil)) | (((nil) = (sk2)))),
% 255.66/37.27 inference('split', [status(esa)], [zip_derived_cl194])).
% 255.66/37.27 thf('13', plain, (( (neq @ sk2 @ nil))),
% 255.66/37.27 inference('sat_resolution*', [status(thm)], ['4', '5', '6', '12'])).
% 255.66/37.27 thf(zip_derived_cl250, plain, (((sk2) != (nil))),
% 255.66/37.27 inference('simpl_trail', [status(thm)], [zip_derived_cl245, '13'])).
% 255.66/37.27 thf(zip_derived_cl3494, plain,
% 255.66/37.27 (![X0 : $i]: (((sk2) != (X0)) | ((nil) != (X0)) | ~ (ssList @ X0))),
% 255.66/37.27 inference('simplify_reflect-', [status(thm)],
% 255.66/37.27 [zip_derived_cl3493, zip_derived_cl250])).
% 255.66/37.27 thf(zip_derived_cl142782, plain,
% 255.66/37.27 (![X0 : $i]: (~ (ssList @ X0) | ((X0) != (sk2)))),
% 255.66/37.27 inference('clc', [status(thm)],
% 255.66/37.27 [zip_derived_cl142781, zip_derived_cl3494])).
% 255.66/37.27 thf(zip_derived_cl142858, plain, (((sk2) != (sk2))),
% 255.66/37.27 inference('s_sup-', [status(thm)],
% 255.66/37.27 [zip_derived_cl186, zip_derived_cl142782])).
% 255.66/37.27 thf(zip_derived_cl142859, plain, ($false),
% 255.66/37.27 inference('simplify', [status(thm)], [zip_derived_cl142858])).
% 255.66/37.27
% 255.66/37.27 % SZS output end Refutation
% 255.66/37.27
% 255.66/37.27
% 255.66/37.27 % Terminating...
% 256.18/37.35 % Runner terminated.
% 256.18/37.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------