%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC149-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.B5WQcfDpOu true
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:58:47 PM UTC 2025
% Result : Unsatisfiable 4.53s 1.48s
% Output : Refutation 4.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC149-1 : TPTP v9.2.0. Released v2.4.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.B5WQcfDpOu true
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 17:12:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.52/0.66 % Total configuration time : 435
% 0.52/0.66 % Estimated wc time : 1092
% 0.52/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.83 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.87 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.53/1.48 % Solved by fo/fo6_bce.sh.
% 4.53/1.48 % BCE start: 194
% 4.53/1.48 % BCE eliminated: 2
% 4.53/1.48 % PE start: 192
% 4.53/1.48 logic: eq
% 4.53/1.48 % PE eliminated: 7
% 4.53/1.48 % done 285 iterations in 0.679s
% 4.53/1.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.53/1.48 % SZS output start Refutation
% 4.53/1.48 thf(nil_type, type, nil: $i).
% 4.53/1.48 thf(cons_type, type, cons: $i > $i > $i).
% 4.53/1.48 thf(sk2_type, type, sk2: $i).
% 4.53/1.48 thf(sk4_type, type, sk4: $i).
% 4.53/1.48 thf(ssItem_type, type, ssItem: $i > $o).
% 4.53/1.48 thf(skaf82_type, type, skaf82: $i > $i).
% 4.53/1.48 thf(skaf83_type, type, skaf83: $i > $i).
% 4.53/1.48 thf(neq_type, type, neq: $i > $i > $o).
% 4.53/1.48 thf(app_type, type, app: $i > $i > $i).
% 4.53/1.48 thf(ssList_type, type, ssList: $i > $o).
% 4.53/1.48 thf(singletonP_type, type, singletonP: $i > $o).
% 4.53/1.48 thf(clause109, axiom,
% 4.53/1.48 (( ~( ssList @ U ) ) |
% 4.53/1.48 ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) |
% 4.53/1.48 ( ( nil ) = ( U ) ))).
% 4.53/1.48 thf(zip_derived_cl108, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (~ (ssList @ X0)
% 4.53/1.48 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 4.53/1.48 | ((nil) = (X0)))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause109])).
% 4.53/1.48 thf(zip_derived_cl108, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (~ (ssList @ X0)
% 4.53/1.48 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 4.53/1.48 | ((nil) = (X0)))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause109])).
% 4.53/1.48 thf(clause120, axiom,
% 4.53/1.48 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 4.53/1.48 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 4.53/1.48 thf(zip_derived_cl119, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i]:
% 4.53/1.48 (~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssList @ X1)
% 4.53/1.48 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause120])).
% 4.53/1.48 thf(clause86, axiom,
% 4.53/1.48 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 4.53/1.48 thf(zip_derived_cl85, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i]:
% 4.53/1.48 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause86])).
% 4.53/1.48 thf(clause157, axiom,
% 4.53/1.48 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 4.53/1.48 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 4.53/1.48 thf(zip_derived_cl156, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssList @ X1)
% 4.53/1.48 | ~ (ssList @ X2)
% 4.53/1.48 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause157])).
% 4.53/1.48 thf(zip_derived_cl85, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i]:
% 4.53/1.48 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause86])).
% 4.53/1.48 thf(zip_derived_cl119, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i]:
% 4.53/1.48 (~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssList @ X1)
% 4.53/1.48 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause120])).
% 4.53/1.48 thf(co1_8, conjecture,
% 4.53/1.48 (~( ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 4.53/1.48 ( sk4 ) ) |
% 4.53/1.48 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 4.53/1.48 thf(zf_stmt_0, negated_conjecture,
% 4.53/1.48 (( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 4.53/1.48 ( sk4 ) ) |
% 4.53/1.48 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 4.53/1.48 inference('cnf.neg', [status(esa)], [co1_8])).
% 4.53/1.48 thf(zip_derived_cl192, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk4))
% 4.53/1.48 | ~ (ssList @ X2)
% 4.53/1.48 | ~ (ssItem @ X1)
% 4.53/1.48 | ~ (ssItem @ X0))),
% 4.53/1.48 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.53/1.48 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 4.53/1.48 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 4.53/1.48 inference('cnf.neg', [status(esa)], [co1_5])).
% 4.53/1.48 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 4.53/1.48 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.53/1.48 thf(zip_derived_cl1419, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2) != (sk2))
% 4.53/1.48 | ~ (ssList @ X2)
% 4.53/1.48 | ~ (ssItem @ X1)
% 4.53/1.48 | ~ (ssItem @ X0))),
% 4.53/1.48 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 4.53/1.48 thf(zip_derived_cl1587, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssList @ (cons @ X0 @ nil))
% 4.53/1.48 | ~ (ssItem @ X1)
% 4.53/1.48 | ((app @ (cons @ X1 @ (cons @ X0 @ nil)) @ X2) != (sk2))
% 4.53/1.48 | ~ (ssList @ X2)
% 4.53/1.48 | ~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssItem @ X1))),
% 4.53/1.48 inference('s_sup-', [status(thm)],
% 4.53/1.48 [zip_derived_cl119, zip_derived_cl1419])).
% 4.53/1.48 thf(zip_derived_cl1600, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssList @ X2)
% 4.53/1.48 | ((app @ (cons @ X1 @ (cons @ X0 @ nil)) @ X2) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X1)
% 4.53/1.48 | ~ (ssList @ (cons @ X0 @ nil)))),
% 4.53/1.48 inference('simplify', [status(thm)], [zip_derived_cl1587])).
% 4.53/1.48 thf(zip_derived_cl2274, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssList @ nil)
% 4.53/1.48 | ~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssList @ X1)
% 4.53/1.48 | ((app @ (cons @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X2))),
% 4.53/1.48 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1600])).
% 4.53/1.48 thf(clause8, axiom, (ssList @ nil)).
% 4.53/1.48 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.53/1.48 inference('cnf', [status(esa)], [clause8])).
% 4.53/1.48 thf(zip_derived_cl2275, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssList @ X1)
% 4.53/1.48 | ((app @ (cons @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X2))),
% 4.53/1.48 inference('demod', [status(thm)], [zip_derived_cl2274, zip_derived_cl7])).
% 4.53/1.48 thf(zip_derived_cl2276, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssItem @ X2)
% 4.53/1.48 | ((app @ (cons @ X2 @ (cons @ X0 @ nil)) @ X1) != (sk2))
% 4.53/1.48 | ~ (ssList @ X1)
% 4.53/1.48 | ~ (ssItem @ X0))),
% 4.53/1.48 inference('simplify', [status(thm)], [zip_derived_cl2275])).
% 4.53/1.48 thf(zip_derived_cl2419, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssList @ X0)
% 4.53/1.48 | ~ (ssList @ (cons @ X1 @ nil))
% 4.53/1.48 | ~ (ssItem @ X2)
% 4.53/1.48 | ~ (ssItem @ X2)
% 4.53/1.48 | ((cons @ X2 @ (app @ (cons @ X1 @ nil) @ X0)) != (sk2))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ~ (ssItem @ X1))),
% 4.53/1.48 inference('s_sup-', [status(thm)],
% 4.53/1.48 [zip_derived_cl156, zip_derived_cl2276])).
% 4.53/1.48 thf(zip_derived_cl2423, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssItem @ X1)
% 4.53/1.48 | ((cons @ X2 @ (app @ (cons @ X1 @ nil) @ X0)) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X2)
% 4.53/1.48 | ~ (ssList @ (cons @ X1 @ nil))
% 4.53/1.48 | ~ (ssList @ X0))),
% 4.53/1.48 inference('simplify', [status(thm)], [zip_derived_cl2419])).
% 4.53/1.48 thf(zip_derived_cl2430, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssList @ nil)
% 4.53/1.48 | ~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssItem @ X0)
% 4.53/1.48 | ((cons @ X2 @ (app @ (cons @ X0 @ nil) @ X1)) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X2)
% 4.53/1.48 | ~ (ssList @ X1))),
% 4.53/1.48 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2423])).
% 4.53/1.48 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.53/1.48 inference('cnf', [status(esa)], [clause8])).
% 4.53/1.48 thf(zip_derived_cl2431, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssItem @ X0)
% 4.53/1.48 | ~ (ssItem @ X0)
% 4.53/1.48 | ((cons @ X2 @ (app @ (cons @ X0 @ nil) @ X1)) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X2)
% 4.53/1.48 | ~ (ssList @ X1))),
% 4.53/1.48 inference('demod', [status(thm)], [zip_derived_cl2430, zip_derived_cl7])).
% 4.53/1.48 thf(zip_derived_cl2432, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssList @ X1)
% 4.53/1.48 | ~ (ssItem @ X2)
% 4.53/1.48 | ((cons @ X2 @ (app @ (cons @ X0 @ nil) @ X1)) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X0))),
% 4.53/1.48 inference('simplify', [status(thm)], [zip_derived_cl2431])).
% 4.53/1.48 thf(zip_derived_cl2602, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (~ (ssList @ X0)
% 4.53/1.48 | ~ (ssItem @ X1)
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ~ (ssItem @ X2)
% 4.53/1.48 | ((cons @ X2 @ (cons @ X1 @ X0)) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X1))),
% 4.53/1.48 inference('s_sup-', [status(thm)],
% 4.53/1.48 [zip_derived_cl119, zip_derived_cl2432])).
% 4.53/1.48 thf(zip_derived_cl2609, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.53/1.48 (((cons @ X2 @ (cons @ X1 @ X0)) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X2)
% 4.53/1.48 | ~ (ssItem @ X1)
% 4.53/1.48 | ~ (ssList @ X0))),
% 4.53/1.48 inference('simplify', [status(thm)], [zip_derived_cl2602])).
% 4.53/1.48 thf(zip_derived_cl2620, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i]:
% 4.53/1.48 (((nil) = (X0))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ((cons @ X1 @ X0) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X1)
% 4.53/1.48 | ~ (ssItem @ (skaf83 @ X0))
% 4.53/1.48 | ~ (ssList @ (skaf82 @ X0)))),
% 4.53/1.48 inference('s_sup-', [status(thm)],
% 4.53/1.48 [zip_derived_cl108, zip_derived_cl2609])).
% 4.53/1.48 thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 4.53/1.48 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause12])).
% 4.53/1.48 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 4.53/1.48 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause13])).
% 4.53/1.48 thf(zip_derived_cl2623, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i]:
% 4.53/1.48 (((nil) = (X0))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ((cons @ X1 @ X0) != (sk2))
% 4.53/1.48 | ~ (ssItem @ X1))),
% 4.53/1.48 inference('demod', [status(thm)],
% 4.53/1.48 [zip_derived_cl2620, zip_derived_cl11, zip_derived_cl12])).
% 4.53/1.48 thf(zip_derived_cl2749, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (((nil) = (X0))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ((nil) = (skaf82 @ X0))
% 4.53/1.48 | ~ (ssList @ (skaf82 @ X0))
% 4.53/1.48 | ((X0) != (sk2))
% 4.53/1.48 | ~ (ssItem @ (skaf83 @ X0)))),
% 4.53/1.48 inference('s_sup-', [status(thm)],
% 4.53/1.48 [zip_derived_cl108, zip_derived_cl2623])).
% 4.53/1.48 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause13])).
% 4.53/1.48 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause12])).
% 4.53/1.48 thf(zip_derived_cl2752, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (((nil) = (X0))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ((nil) = (skaf82 @ X0))
% 4.53/1.48 | ((X0) != (sk2)))),
% 4.53/1.48 inference('demod', [status(thm)],
% 4.53/1.48 [zip_derived_cl2749, zip_derived_cl12, zip_derived_cl11])).
% 4.53/1.48 thf(zip_derived_cl108, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (~ (ssList @ X0)
% 4.53/1.48 | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 4.53/1.48 | ((nil) = (X0)))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause109])).
% 4.53/1.48 thf(zip_derived_cl2754, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (((X0) != (sk2))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ((nil) = (X0))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ((cons @ (skaf83 @ X0) @ nil) = (X0))
% 4.53/1.48 | ((nil) = (X0)))),
% 4.53/1.48 inference('s_sup+', [status(thm)],
% 4.53/1.48 [zip_derived_cl2752, zip_derived_cl108])).
% 4.53/1.48 thf(zip_derived_cl2761, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (((cons @ (skaf83 @ X0) @ nil) = (X0))
% 4.53/1.48 | ((nil) = (X0))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ((X0) != (sk2)))),
% 4.53/1.48 inference('simplify', [status(thm)], [zip_derived_cl2754])).
% 4.53/1.48 thf(clause116, axiom,
% 4.53/1.48 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 4.53/1.48 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 4.53/1.48 thf(zip_derived_cl115, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i]:
% 4.53/1.48 (((cons @ X1 @ nil) != (X0))
% 4.53/1.48 | ~ (ssItem @ X1)
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | (singletonP @ X0))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause116])).
% 4.53/1.48 thf(co1_9, conjecture, (singletonP @ sk2)).
% 4.53/1.48 thf(zf_stmt_2, negated_conjecture, (~( singletonP @ sk2 )),
% 4.53/1.48 inference('cnf.neg', [status(esa)], [co1_9])).
% 4.53/1.48 thf(zip_derived_cl193, plain, (~ (singletonP @ sk2)),
% 4.53/1.48 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.53/1.48 thf(zip_derived_cl1334, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (~ (ssList @ sk2) | ~ (ssItem @ X0) | ((cons @ X0 @ nil) != (sk2)))),
% 4.53/1.48 inference('dp-resolution', [status(thm)],
% 4.53/1.48 [zip_derived_cl115, zip_derived_cl193])).
% 4.53/1.48 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 4.53/1.48 thf(zf_stmt_3, negated_conjecture, (ssList @ sk2),
% 4.53/1.48 inference('cnf.neg', [status(esa)], [co1_2])).
% 4.53/1.48 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.53/1.48 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.53/1.48 thf(zip_derived_cl1366, plain,
% 4.53/1.48 (![X0 : $i]: (~ (ssItem @ X0) | ((cons @ X0 @ nil) != (sk2)))),
% 4.53/1.48 inference('demod', [status(thm)], [zip_derived_cl1334, zip_derived_cl186])).
% 4.53/1.48 thf(zip_derived_cl3069, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (((X0) != (sk2))
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ((nil) = (X0))
% 4.53/1.48 | ~ (ssItem @ (skaf83 @ X0))
% 4.53/1.48 | ((X0) != (sk2)))),
% 4.53/1.48 inference('s_sup-', [status(thm)],
% 4.53/1.48 [zip_derived_cl2761, zip_derived_cl1366])).
% 4.53/1.48 thf(zip_derived_cl11, plain, (![X0 : $i]: (ssItem @ (skaf83 @ X0))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause12])).
% 4.53/1.48 thf(zip_derived_cl3123, plain,
% 4.53/1.48 (![X0 : $i]:
% 4.53/1.48 (((X0) != (sk2)) | ~ (ssList @ X0) | ((nil) = (X0)) | ((X0) != (sk2)))),
% 4.53/1.48 inference('demod', [status(thm)], [zip_derived_cl3069, zip_derived_cl11])).
% 4.53/1.48 thf(zip_derived_cl3124, plain,
% 4.53/1.48 (![X0 : $i]: (((nil) = (X0)) | ~ (ssList @ X0) | ((X0) != (sk2)))),
% 4.53/1.48 inference('simplify', [status(thm)], [zip_derived_cl3123])).
% 4.53/1.48 thf(zip_derived_cl3134, plain, ((~ (ssList @ sk2) | ((nil) = (sk2)))),
% 4.53/1.48 inference('eq_res', [status(thm)], [zip_derived_cl3124])).
% 4.53/1.48 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.53/1.48 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.53/1.48 thf(zip_derived_cl3135, plain, (((nil) = (sk2))),
% 4.53/1.48 inference('demod', [status(thm)], [zip_derived_cl3134, zip_derived_cl186])).
% 4.53/1.48 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 4.53/1.48 thf(zf_stmt_4, negated_conjecture, (neq @ sk2 @ nil),
% 4.53/1.48 inference('cnf.neg', [status(esa)], [co1_7])).
% 4.53/1.48 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 4.53/1.48 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.53/1.48 thf(clause115, axiom,
% 4.53/1.48 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 4.53/1.48 ( ~( ssList @ U ) ))).
% 4.53/1.48 thf(zip_derived_cl114, plain,
% 4.53/1.48 (![X0 : $i, X1 : $i]:
% 4.53/1.48 (((X1) != (X0))
% 4.53/1.48 | ~ (neq @ X1 @ X0)
% 4.53/1.48 | ~ (ssList @ X0)
% 4.53/1.48 | ~ (ssList @ X1))),
% 4.53/1.48 inference('cnf', [status(esa)], [clause115])).
% 4.53/1.48 thf(zip_derived_cl1330, plain,
% 4.53/1.48 ((~ (ssList @ sk2) | ~ (ssList @ nil) | ((sk2) != (nil)))),
% 4.53/1.48 inference('dp-resolution', [status(thm)],
% 4.53/1.48 [zip_derived_cl191, zip_derived_cl114])).
% 4.53/1.48 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.53/1.48 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.53/1.48 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.53/1.48 inference('cnf', [status(esa)], [clause8])).
% 4.53/1.48 thf(zip_derived_cl1360, plain, (((sk2) != (nil))),
% 4.53/1.48 inference('demod', [status(thm)],
% 4.53/1.48 [zip_derived_cl1330, zip_derived_cl186, zip_derived_cl7])).
% 4.53/1.48 thf(zip_derived_cl3136, plain, ($false),
% 4.53/1.48 inference('simplify_reflect-', [status(thm)],
% 4.53/1.48 [zip_derived_cl3135, zip_derived_cl1360])).
% 4.53/1.48
% 4.53/1.48 % SZS output end Refutation
% 4.53/1.48
% 4.53/1.48
% 4.53/1.48 % Terminating...
% 4.99/1.66 % Runner terminated.
% 5.04/1.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------