%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC052-1 : 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.NszLzzwLyw true
% Computer : n016.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 04:58:25 PM UTC 2025
% Result : Unsatisfiable 3.63s 1.14s
% Output : Refutation 3.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC052-1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NszLzzwLyw true
% 0.15/0.36 % Computer : n016.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 : Wed Oct 1 17:15:38 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.63/1.14 % Solved by fo/fo6_bce.sh.
% 3.63/1.14 % BCE start: 200
% 3.63/1.14 % BCE eliminated: 0
% 3.63/1.14 % PE start: 200
% 3.63/1.14 logic: eq
% 3.63/1.14 % PE eliminated: 6
% 3.63/1.14 % done 312 iterations in 0.377s
% 3.63/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.63/1.14 % SZS output start Refutation
% 3.63/1.14 thf(nil_type, type, nil: $i).
% 3.63/1.14 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 3.63/1.14 thf(sk2_type, type, sk2: $i).
% 3.63/1.14 thf(skaf45_type, type, skaf45: $i > $i > $i).
% 3.63/1.14 thf(sk4_type, type, sk4: $i).
% 3.63/1.14 thf(sk5_type, type, sk5: $i).
% 3.63/1.14 thf(sk3_type, type, sk3: $i).
% 3.63/1.14 thf(neq_type, type, neq: $i > $i > $o).
% 3.63/1.14 thf(app_type, type, app: $i > $i > $i).
% 3.63/1.14 thf(ssList_type, type, ssList: $i > $o).
% 3.63/1.14 thf(sk1_type, type, sk1: $i).
% 3.63/1.14 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 3.63/1.14 thf(co1_14, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 3.63/1.14 thf(zf_stmt_0, negated_conjecture,
% 3.63/1.14 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_14])).
% 3.63/1.14 thf(zip_derived_cl198, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.63/1.14 thf(clause132, axiom,
% 3.63/1.14 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 3.63/1.14 ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 3.63/1.14 thf(zip_derived_cl131, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i]:
% 3.63/1.14 (~ (frontsegP @ X0 @ X1)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 3.63/1.14 inference('cnf', [status(esa)], [clause132])).
% 3.63/1.14 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 3.63/1.14 thf(zip_derived_cl73, plain,
% 3.63/1.14 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 3.63/1.14 inference('cnf', [status(esa)], [clause74])).
% 3.63/1.14 thf(clause173, axiom,
% 3.63/1.14 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 3.63/1.14 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 3.63/1.14 ( segmentP @ X @ V ))).
% 3.63/1.14 thf(zip_derived_cl172, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.63/1.14 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 3.63/1.14 | ~ (ssList @ X3)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | ~ (ssList @ X2)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | (segmentP @ X0 @ X2))),
% 3.63/1.14 inference('cnf', [status(esa)], [clause173])).
% 3.63/1.14 thf(zip_derived_cl2489, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.63/1.14 (~ (ssList @ X0)
% 3.63/1.14 | ((app @ X0 @ X2) != (X1))
% 3.63/1.14 | ~ (ssList @ X2)
% 3.63/1.14 | ~ (ssList @ nil)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | (segmentP @ X1 @ X0))),
% 3.63/1.14 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl172])).
% 3.63/1.14 thf(clause8, axiom, (ssList @ nil)).
% 3.63/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 3.63/1.14 inference('cnf', [status(esa)], [clause8])).
% 3.63/1.14 thf(zip_derived_cl2505, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.63/1.14 (~ (ssList @ X0)
% 3.63/1.14 | ((app @ X0 @ X2) != (X1))
% 3.63/1.14 | ~ (ssList @ X2)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | (segmentP @ X1 @ X0))),
% 3.63/1.14 inference('demod', [status(thm)], [zip_derived_cl2489, zip_derived_cl7])).
% 3.63/1.14 thf(zip_derived_cl2506, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.63/1.14 ( (segmentP @ X1 @ X0)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | ~ (ssList @ X2)
% 3.63/1.14 | ((app @ X0 @ X2) != (X1))
% 3.63/1.14 | ~ (ssList @ X0))),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl2505])).
% 3.63/1.14 thf(zip_derived_cl2515, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.63/1.14 (~ (ssList @ X0)
% 3.63/1.14 | ~ (ssList @ X2)
% 3.63/1.14 | ~ (frontsegP @ X0 @ X2)
% 3.63/1.14 | (segmentP @ X1 @ X2)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | ~ (ssList @ (skaf45 @ X0 @ X2))
% 3.63/1.14 | ((X0) != (X1))
% 3.63/1.14 | ~ (ssList @ X2))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl131, zip_derived_cl2506])).
% 3.63/1.14 thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 3.63/1.14 thf(zip_derived_cl50, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i]: (ssList @ (skaf45 @ X0 @ X1))),
% 3.63/1.14 inference('cnf', [status(esa)], [clause51])).
% 3.63/1.14 thf(zip_derived_cl2526, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.63/1.14 (~ (ssList @ X0)
% 3.63/1.14 | ~ (ssList @ X2)
% 3.63/1.14 | ~ (frontsegP @ X0 @ X2)
% 3.63/1.14 | (segmentP @ X1 @ X2)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | ((X0) != (X1))
% 3.63/1.14 | ~ (ssList @ X2))),
% 3.63/1.14 inference('demod', [status(thm)], [zip_derived_cl2515, zip_derived_cl50])).
% 3.63/1.14 thf(zip_derived_cl2527, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.63/1.14 (((X0) != (X1))
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | (segmentP @ X1 @ X2)
% 3.63/1.14 | ~ (frontsegP @ X0 @ X2)
% 3.63/1.14 | ~ (ssList @ X2)
% 3.63/1.14 | ~ (ssList @ X0))),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl2526])).
% 3.63/1.14 thf(zip_derived_cl2574, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i]:
% 3.63/1.14 (~ (ssList @ X0)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | ~ (frontsegP @ X0 @ X1)
% 3.63/1.14 | (segmentP @ X0 @ X1)
% 3.63/1.14 | ~ (ssList @ X0))),
% 3.63/1.14 inference('eq_res', [status(thm)], [zip_derived_cl2527])).
% 3.63/1.14 thf(zip_derived_cl2575, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i]:
% 3.63/1.14 ( (segmentP @ X0 @ X1)
% 3.63/1.14 | ~ (frontsegP @ X0 @ X1)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | ~ (ssList @ X0))),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl2574])).
% 3.63/1.14 thf(co1_12, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) = ( sk2 ) ) ))).
% 3.63/1.14 thf(zf_stmt_1, negated_conjecture,
% 3.63/1.14 (( neq @ sk2 @ nil ) | ( ( nil ) = ( sk2 ) )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_12])).
% 3.63/1.14 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.63/1.14 thf(co1_9, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( neq @ sk5 @ nil ) ))).
% 3.63/1.14 thf(zf_stmt_2, negated_conjecture,
% 3.63/1.14 (( ~( neq @ sk4 @ nil ) ) | ( neq @ sk5 @ nil )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_9])).
% 3.63/1.14 thf(zip_derived_cl193, plain, ((~ (neq @ sk4 @ nil) | (neq @ sk5 @ nil))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.63/1.14 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 3.63/1.14 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_5])).
% 3.63/1.14 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.63/1.14 thf(zip_derived_cl1418, plain, ((~ (neq @ sk2 @ nil) | (neq @ sk5 @ nil))),
% 3.63/1.14 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl189])).
% 3.63/1.14 thf(zip_derived_cl1419, plain, ((((nil) = (sk2)) | (neq @ sk5 @ nil))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl196, zip_derived_cl1418])).
% 3.63/1.14 thf(zip_derived_cl2575, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i]:
% 3.63/1.14 ( (segmentP @ X0 @ X1)
% 3.63/1.14 | ~ (frontsegP @ X0 @ X1)
% 3.63/1.14 | ~ (ssList @ X1)
% 3.63/1.14 | ~ (ssList @ X0))),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl2574])).
% 3.63/1.14 thf(co1_13, conjecture,
% 3.63/1.14 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 3.63/1.14 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 3.63/1.14 thf(zf_stmt_4, negated_conjecture,
% 3.63/1.14 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 3.63/1.14 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_13])).
% 3.63/1.14 thf(zip_derived_cl197, plain,
% 3.63/1.14 (![X0 : $i]:
% 3.63/1.14 (~ (segmentP @ sk1 @ X0)
% 3.63/1.14 | ~ (segmentP @ sk2 @ X0)
% 3.63/1.14 | ~ (neq @ X0 @ nil)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | ((nil) = (sk2)))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.63/1.14 thf(zip_derived_cl2580, plain,
% 3.63/1.14 (![X0 : $i]:
% 3.63/1.14 (~ (ssList @ sk1)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | ~ (frontsegP @ sk1 @ X0)
% 3.63/1.14 | ~ (segmentP @ sk2 @ X0)
% 3.63/1.14 | ~ (neq @ X0 @ nil)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | ((nil) = (sk2)))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl2575, zip_derived_cl197])).
% 3.63/1.14 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 3.63/1.14 thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_1])).
% 3.63/1.14 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.63/1.14 thf(zip_derived_cl2588, plain,
% 3.63/1.14 (![X0 : $i]:
% 3.63/1.14 (~ (ssList @ X0)
% 3.63/1.14 | ~ (frontsegP @ sk1 @ X0)
% 3.63/1.14 | ~ (segmentP @ sk2 @ X0)
% 3.63/1.14 | ~ (neq @ X0 @ nil)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | ((nil) = (sk2)))),
% 3.63/1.14 inference('demod', [status(thm)], [zip_derived_cl2580, zip_derived_cl185])).
% 3.63/1.14 thf(zip_derived_cl2589, plain,
% 3.63/1.14 (![X0 : $i]:
% 3.63/1.14 (((nil) = (sk2))
% 3.63/1.14 | ~ (neq @ X0 @ nil)
% 3.63/1.14 | ~ (segmentP @ sk2 @ X0)
% 3.63/1.14 | ~ (frontsegP @ sk1 @ X0)
% 3.63/1.14 | ~ (ssList @ X0))),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl2588])).
% 3.63/1.14 thf(zip_derived_cl2625, plain,
% 3.63/1.14 ((((nil) = (sk2))
% 3.63/1.14 | ((nil) = (sk2))
% 3.63/1.14 | ~ (segmentP @ sk2 @ sk5)
% 3.63/1.14 | ~ (frontsegP @ sk1 @ sk5)
% 3.63/1.14 | ~ (ssList @ sk5))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl1419, zip_derived_cl2589])).
% 3.63/1.14 thf(zip_derived_cl2630, plain,
% 3.63/1.14 ((~ (ssList @ sk5)
% 3.63/1.14 | ~ (frontsegP @ sk1 @ sk5)
% 3.63/1.14 | ~ (segmentP @ sk2 @ sk5)
% 3.63/1.14 | ((nil) = (sk2)))),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl2625])).
% 3.63/1.14 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.63/1.14 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk5 ) ))).
% 3.63/1.14 thf(zf_stmt_6, negated_conjecture,
% 3.63/1.14 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk5 )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_8])).
% 3.63/1.14 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk5))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.63/1.14 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.63/1.14 thf(zip_derived_cl1416, plain, ((~ (neq @ sk2 @ nil) | (ssList @ sk5))),
% 3.63/1.14 inference('demod', [status(thm)], [zip_derived_cl192, zip_derived_cl189])).
% 3.63/1.14 thf(zip_derived_cl1417, plain, ((((nil) = (sk2)) | (ssList @ sk5))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl196, zip_derived_cl1416])).
% 3.63/1.14 thf(zip_derived_cl2729, plain,
% 3.63/1.14 ((((nil) = (sk2)) | ~ (segmentP @ sk2 @ sk5) | ~ (frontsegP @ sk1 @ sk5))),
% 3.63/1.14 inference('clc', [status(thm)], [zip_derived_cl2630, zip_derived_cl1417])).
% 3.63/1.14 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.63/1.14 thf(co1_11, conjecture,
% 3.63/1.14 (~( ( ~( neq @ sk4 @ nil ) ) | ( frontsegP @ sk3 @ sk5 ) ))).
% 3.63/1.14 thf(zf_stmt_7, negated_conjecture,
% 3.63/1.14 (( ~( neq @ sk4 @ nil ) ) | ( frontsegP @ sk3 @ sk5 )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_11])).
% 3.63/1.14 thf(zip_derived_cl195, plain,
% 3.63/1.14 ((~ (neq @ sk4 @ nil) | (frontsegP @ sk3 @ sk5))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_7])).
% 3.63/1.14 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.63/1.14 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 3.63/1.14 thf(zf_stmt_8, negated_conjecture, (( sk1 ) = ( sk3 )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_6])).
% 3.63/1.14 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.63/1.14 thf(zip_derived_cl1424, plain,
% 3.63/1.14 ((~ (neq @ sk2 @ nil) | (frontsegP @ sk1 @ sk5))),
% 3.63/1.14 inference('demod', [status(thm)],
% 3.63/1.14 [zip_derived_cl195, zip_derived_cl189, zip_derived_cl190])).
% 3.63/1.14 thf(zip_derived_cl1425, plain,
% 3.63/1.14 ((((nil) = (sk2)) | (frontsegP @ sk1 @ sk5))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl196, zip_derived_cl1424])).
% 3.63/1.14 thf(zip_derived_cl2730, plain,
% 3.63/1.14 ((~ (segmentP @ sk2 @ sk5) | ((nil) = (sk2)))),
% 3.63/1.14 inference('clc', [status(thm)], [zip_derived_cl2729, zip_derived_cl1425])).
% 3.63/1.14 thf(zip_derived_cl2731, plain,
% 3.63/1.14 ((~ (ssList @ sk2)
% 3.63/1.14 | ~ (ssList @ sk5)
% 3.63/1.14 | ~ (frontsegP @ sk2 @ sk5)
% 3.63/1.14 | ((nil) = (sk2)))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl2575, zip_derived_cl2730])).
% 3.63/1.14 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 3.63/1.14 thf(zf_stmt_9, negated_conjecture, (ssList @ sk2),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_2])).
% 3.63/1.14 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.63/1.14 thf(zip_derived_cl2734, plain,
% 3.63/1.14 ((~ (ssList @ sk5) | ~ (frontsegP @ sk2 @ sk5) | ((nil) = (sk2)))),
% 3.63/1.14 inference('demod', [status(thm)], [zip_derived_cl2731, zip_derived_cl186])).
% 3.63/1.14 thf(zip_derived_cl1417, plain, ((((nil) = (sk2)) | (ssList @ sk5))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl196, zip_derived_cl1416])).
% 3.63/1.14 thf(zip_derived_cl2784, plain,
% 3.63/1.14 ((((nil) = (sk2)) | ~ (frontsegP @ sk2 @ sk5))),
% 3.63/1.14 inference('clc', [status(thm)], [zip_derived_cl2734, zip_derived_cl1417])).
% 3.63/1.14 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.63/1.14 thf(co1_10, conjecture,
% 3.63/1.14 (~( ( ~( neq @ sk4 @ nil ) ) | ( frontsegP @ sk4 @ sk5 ) ))).
% 3.63/1.14 thf(zf_stmt_10, negated_conjecture,
% 3.63/1.14 (( ~( neq @ sk4 @ nil ) ) | ( frontsegP @ sk4 @ sk5 )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_10])).
% 3.63/1.14 thf(zip_derived_cl194, plain,
% 3.63/1.14 ((~ (neq @ sk4 @ nil) | (frontsegP @ sk4 @ sk5))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.63/1.14 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.63/1.14 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.63/1.14 thf(zip_derived_cl1422, plain,
% 3.63/1.14 ((~ (neq @ sk2 @ nil) | (frontsegP @ sk2 @ sk5))),
% 3.63/1.14 inference('demod', [status(thm)],
% 3.63/1.14 [zip_derived_cl194, zip_derived_cl189, zip_derived_cl189])).
% 3.63/1.14 thf(zip_derived_cl1423, plain,
% 3.63/1.14 ((((nil) = (sk2)) | (frontsegP @ sk2 @ sk5))),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl196, zip_derived_cl1422])).
% 3.63/1.14 thf(zip_derived_cl2785, plain, (((nil) = (sk2))),
% 3.63/1.14 inference('clc', [status(thm)], [zip_derived_cl2784, zip_derived_cl1423])).
% 3.63/1.14 thf(zip_derived_cl2788, plain, (( (neq @ nil @ nil) | ((nil) != (sk1)))),
% 3.63/1.14 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl2785])).
% 3.63/1.14 thf(co1_7, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 3.63/1.14 thf(zf_stmt_11, negated_conjecture,
% 3.63/1.14 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 3.63/1.14 inference('cnf.neg', [status(esa)], [co1_7])).
% 3.63/1.14 thf(zip_derived_cl191, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_11])).
% 3.63/1.14 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.63/1.14 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 3.63/1.14 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.63/1.14 thf(zip_derived_cl1411, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 3.63/1.14 inference('demod', [status(thm)],
% 3.63/1.14 [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 3.63/1.14 thf(zip_derived_cl2785, plain, (((nil) = (sk2))),
% 3.63/1.14 inference('clc', [status(thm)], [zip_derived_cl2784, zip_derived_cl1423])).
% 3.63/1.14 thf(zip_derived_cl2790, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 3.63/1.14 inference('demod', [status(thm)],
% 3.63/1.14 [zip_derived_cl1411, zip_derived_cl2785])).
% 3.63/1.14 thf(zip_derived_cl2791, plain, (((nil) = (sk1))),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl2790])).
% 3.63/1.14 thf(zip_derived_cl2854, plain, (( (neq @ nil @ nil) | ((nil) != (nil)))),
% 3.63/1.14 inference('demod', [status(thm)],
% 3.63/1.14 [zip_derived_cl2788, zip_derived_cl2791])).
% 3.63/1.14 thf(zip_derived_cl2855, plain, ( (neq @ nil @ nil)),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl2854])).
% 3.63/1.14 thf(clause115, axiom,
% 3.63/1.14 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 3.63/1.14 ( ~( ssList @ U ) ))).
% 3.63/1.14 thf(zip_derived_cl114, plain,
% 3.63/1.14 (![X0 : $i, X1 : $i]:
% 3.63/1.14 (((X1) != (X0))
% 3.63/1.14 | ~ (neq @ X1 @ X0)
% 3.63/1.14 | ~ (ssList @ X0)
% 3.63/1.14 | ~ (ssList @ X1))),
% 3.63/1.14 inference('cnf', [status(esa)], [clause115])).
% 3.63/1.14 thf(zip_derived_cl1420, plain,
% 3.63/1.14 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 3.63/1.14 inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 3.63/1.14 thf(zip_derived_cl1421, plain,
% 3.63/1.14 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 3.63/1.14 inference('simplify', [status(thm)], [zip_derived_cl1420])).
% 3.63/1.14 thf(zip_derived_cl2856, plain, (~ (ssList @ nil)),
% 3.63/1.14 inference('s_sup-', [status(thm)],
% 3.63/1.14 [zip_derived_cl2855, zip_derived_cl1421])).
% 3.63/1.14 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 3.63/1.14 inference('cnf', [status(esa)], [clause8])).
% 3.63/1.14 thf(zip_derived_cl2858, plain, ($false),
% 3.63/1.14 inference('demod', [status(thm)], [zip_derived_cl2856, zip_derived_cl7])).
% 3.63/1.14
% 3.63/1.14 % SZS output end Refutation
% 3.63/1.14
% 3.63/1.14
% 3.63/1.14 % Terminating...
% 3.85/1.23 % Runner terminated.
% 3.85/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------