%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC108-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.neUnFzF4qu true
% Computer : n009.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 04:58:38 PM UTC 2025
% Result : Unsatisfiable 4.91s 1.63s
% Output : Refutation 4.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC108-1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.neUnFzF4qu true
% 0.08/0.31 % Computer : n009.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Wed Oct 1 17:07:23 EDT 2025
% 0.08/0.32 % CPUTime :
% 0.08/0.32 % Running portfolio for 300 s
% 0.08/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.32 % Number of cores: 8
% 0.08/0.32 % Python version: Python 3.6.8
% 0.08/0.32 % Running in FO mode
% 0.39/0.59 % Total configuration time : 435
% 0.39/0.59 % Estimated wc time : 1092
% 0.39/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.42/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 4.91/1.63 % Solved by fo/fo6_bce.sh.
% 4.91/1.63 % BCE start: 199
% 4.91/1.63 % BCE eliminated: 0
% 4.91/1.63 % PE start: 199
% 4.91/1.63 logic: eq
% 4.91/1.63 % PE eliminated: 2
% 4.91/1.63 % done 374 iterations in 0.885s
% 4.91/1.63 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.91/1.63 % SZS output start Refutation
% 4.91/1.63 thf(nil_type, type, nil: $i).
% 4.91/1.63 thf(sk2_type, type, sk2: $i).
% 4.91/1.63 thf(sk4_type, type, sk4: $i).
% 4.91/1.63 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 4.91/1.63 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 4.91/1.63 thf(sk3_type, type, sk3: $i).
% 4.91/1.63 thf(neq_type, type, neq: $i > $i > $o).
% 4.91/1.63 thf(app_type, type, app: $i > $i > $i).
% 4.91/1.63 thf(ssList_type, type, ssList: $i > $o).
% 4.91/1.63 thf(sk1_type, type, sk1: $i).
% 4.91/1.63 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 4.91/1.63 thf(clause81, axiom,
% 4.91/1.63 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( rearsegP @ nil @ U ))).
% 4.91/1.63 thf(zip_derived_cl80, plain,
% 4.91/1.63 (![X0 : $i]: (((nil) != (X0)) | ~ (ssList @ X0) | (rearsegP @ nil @ X0))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause81])).
% 4.91/1.63 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 4.91/1.63 thf(zip_derived_cl72, plain,
% 4.91/1.63 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause73])).
% 4.91/1.63 thf(clause136, axiom,
% 4.91/1.63 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) |
% 4.91/1.63 ( ~( ssList @ U ) ) | ( rearsegP @ ( app @ W @ U ) @ V ))).
% 4.91/1.63 thf(zip_derived_cl135, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.91/1.63 (~ (rearsegP @ X0 @ X1)
% 4.91/1.63 | ~ (ssList @ X2)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | (rearsegP @ (app @ X2 @ X0) @ X1))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause136])).
% 4.91/1.63 thf(zip_derived_cl1974, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (~ (ssList @ X0)
% 4.91/1.63 | ~ (rearsegP @ nil @ X1)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ~ (ssList @ nil)
% 4.91/1.63 | (rearsegP @ X0 @ X1))),
% 4.91/1.63 inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl135])).
% 4.91/1.63 thf(clause8, axiom, (ssList @ nil)).
% 4.91/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.91/1.63 inference('cnf', [status(esa)], [clause8])).
% 4.91/1.63 thf(zip_derived_cl1980, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (~ (ssList @ X0)
% 4.91/1.63 | ~ (rearsegP @ nil @ X1)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | (rearsegP @ X0 @ X1))),
% 4.91/1.63 inference('demod', [status(thm)], [zip_derived_cl1974, zip_derived_cl7])).
% 4.91/1.63 thf(zip_derived_cl1981, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 ( (rearsegP @ X0 @ X1)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ~ (rearsegP @ nil @ X1)
% 4.91/1.63 | ~ (ssList @ X0))),
% 4.91/1.63 inference('simplify', [status(thm)], [zip_derived_cl1980])).
% 4.91/1.63 thf(zip_derived_cl2076, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (~ (ssList @ X0)
% 4.91/1.63 | ((nil) != (X0))
% 4.91/1.63 | (rearsegP @ X1 @ X0)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | ~ (ssList @ X1))),
% 4.91/1.63 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl1981])).
% 4.91/1.63 thf(zip_derived_cl2082, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (~ (ssList @ X1)
% 4.91/1.63 | (rearsegP @ X1 @ X0)
% 4.91/1.63 | ((nil) != (X0))
% 4.91/1.63 | ~ (ssList @ X0))),
% 4.91/1.63 inference('simplify', [status(thm)], [zip_derived_cl2076])).
% 4.91/1.63 thf(co1_14, conjecture,
% 4.91/1.63 (~( ( rearsegP @ sk4 @ sk3 ) | ( ( nil ) = ( sk3 ) ) ))).
% 4.91/1.63 thf(zf_stmt_0, negated_conjecture,
% 4.91/1.63 (( rearsegP @ sk4 @ sk3 ) | ( ( nil ) = ( sk3 ) )),
% 4.91/1.63 inference('cnf.neg', [status(esa)], [co1_14])).
% 4.91/1.63 thf(zip_derived_cl198, plain, (( (rearsegP @ sk4 @ sk3) | ((nil) = (sk3)))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.91/1.63 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 4.91/1.63 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 4.91/1.63 inference('cnf.neg', [status(esa)], [co1_5])).
% 4.91/1.63 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.91/1.63 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 4.91/1.63 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 4.91/1.63 inference('cnf.neg', [status(esa)], [co1_6])).
% 4.91/1.63 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.91/1.63 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.91/1.63 thf(zip_derived_cl1477, plain, (( (rearsegP @ sk2 @ sk1) | ((nil) = (sk1)))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl198, zip_derived_cl189, zip_derived_cl190,
% 4.91/1.63 zip_derived_cl190])).
% 4.91/1.63 thf(co1_11, conjecture, (~( ( neq @ sk3 @ nil ) | ( ( nil ) = ( sk4 ) ) ))).
% 4.91/1.63 thf(zf_stmt_3, negated_conjecture,
% 4.91/1.63 (( neq @ sk3 @ nil ) | ( ( nil ) = ( sk4 ) )),
% 4.91/1.63 inference('cnf.neg', [status(esa)], [co1_11])).
% 4.91/1.63 thf(zip_derived_cl195, plain, (( (neq @ sk3 @ nil) | ((nil) = (sk4)))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.91/1.63 thf(clause115, axiom,
% 4.91/1.63 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 4.91/1.63 ( ~( ssList @ U ) ))).
% 4.91/1.63 thf(zip_derived_cl114, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (((X1) != (X0))
% 4.91/1.63 | ~ (neq @ X1 @ X0)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | ~ (ssList @ X1))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause115])).
% 4.91/1.63 thf(zip_derived_cl1434, plain,
% 4.91/1.63 ((((nil) = (sk4))
% 4.91/1.63 | ~ (ssList @ sk3)
% 4.91/1.63 | ~ (ssList @ nil)
% 4.91/1.63 | ((sk3) != (nil)))),
% 4.91/1.63 inference('dp-resolution', [status(thm)],
% 4.91/1.63 [zip_derived_cl195, zip_derived_cl114])).
% 4.91/1.63 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.91/1.63 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.91/1.63 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 4.91/1.63 thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 4.91/1.63 inference('cnf.neg', [status(esa)], [co1_1])).
% 4.91/1.63 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.91/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.91/1.63 inference('cnf', [status(esa)], [clause8])).
% 4.91/1.63 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.91/1.63 thf(zip_derived_cl1472, plain, ((((nil) = (sk2)) | ((sk1) != (nil)))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl1434, zip_derived_cl189, zip_derived_cl190,
% 4.91/1.63 zip_derived_cl185, zip_derived_cl7, zip_derived_cl190])).
% 4.91/1.63 thf(co1_9, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 4.91/1.63 thf(zf_stmt_5, negated_conjecture,
% 4.91/1.63 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 4.91/1.63 inference('cnf.neg', [status(esa)], [co1_9])).
% 4.91/1.63 thf(zip_derived_cl193, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.91/1.63 thf(zip_derived_cl114, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (((X1) != (X0))
% 4.91/1.63 | ~ (neq @ X1 @ X0)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | ~ (ssList @ X1))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause115])).
% 4.91/1.63 thf(zip_derived_cl1426, plain,
% 4.91/1.63 ((((nil) != (sk1))
% 4.91/1.63 | ~ (ssList @ sk2)
% 4.91/1.63 | ~ (ssList @ nil)
% 4.91/1.63 | ((sk2) != (nil)))),
% 4.91/1.63 inference('dp-resolution', [status(thm)],
% 4.91/1.63 [zip_derived_cl193, zip_derived_cl114])).
% 4.91/1.63 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 4.91/1.63 thf(zf_stmt_6, negated_conjecture, (ssList @ sk2),
% 4.91/1.63 inference('cnf.neg', [status(esa)], [co1_2])).
% 4.91/1.63 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.91/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.91/1.63 inference('cnf', [status(esa)], [clause8])).
% 4.91/1.63 thf(zip_derived_cl1471, plain, ((((nil) != (sk1)) | ((sk2) != (nil)))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl1426, zip_derived_cl186, zip_derived_cl7])).
% 4.91/1.63 thf(zip_derived_cl1473, plain, (((sk1) != (nil))),
% 4.91/1.63 inference('clc', [status(thm)], [zip_derived_cl1472, zip_derived_cl1471])).
% 4.91/1.63 thf(zip_derived_cl1478, plain, ( (rearsegP @ sk2 @ sk1)),
% 4.91/1.63 inference('simplify_reflect-', [status(thm)],
% 4.91/1.63 [zip_derived_cl1477, zip_derived_cl1473])).
% 4.91/1.63 thf(clause128, axiom,
% 4.91/1.63 (( ~( rearsegP @ U @ V ) ) | ( ~( rearsegP @ V @ U ) ) |
% 4.91/1.63 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 4.91/1.63 thf(zip_derived_cl127, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (~ (rearsegP @ X0 @ X1)
% 4.91/1.63 | ~ (rearsegP @ X1 @ X0)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ((X1) = (X0)))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause128])).
% 4.91/1.63 thf(zip_derived_cl1560, plain,
% 4.91/1.63 ((~ (rearsegP @ sk1 @ sk2)
% 4.91/1.63 | ~ (ssList @ sk2)
% 4.91/1.63 | ~ (ssList @ sk1)
% 4.91/1.63 | ((sk1) = (sk2)))),
% 4.91/1.63 inference('s_sup-', [status(thm)],
% 4.91/1.63 [zip_derived_cl1478, zip_derived_cl127])).
% 4.91/1.63 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.91/1.63 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.91/1.63 thf(zip_derived_cl1568, plain,
% 4.91/1.63 ((~ (rearsegP @ sk1 @ sk2) | ((sk1) = (sk2)))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl1560, zip_derived_cl186, zip_derived_cl185])).
% 4.91/1.63 thf(zip_derived_cl2109, plain,
% 4.91/1.63 ((~ (ssList @ sk2)
% 4.91/1.63 | ((nil) != (sk2))
% 4.91/1.63 | ~ (ssList @ sk1)
% 4.91/1.63 | ((sk1) = (sk2)))),
% 4.91/1.63 inference('s_sup-', [status(thm)],
% 4.91/1.63 [zip_derived_cl2082, zip_derived_cl1568])).
% 4.91/1.63 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.91/1.63 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.91/1.63 thf(zip_derived_cl2116, plain, ((((nil) != (sk2)) | ((sk1) = (sk2)))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl2109, zip_derived_cl186, zip_derived_cl185])).
% 4.91/1.63 thf(zip_derived_cl195, plain, (( (neq @ sk3 @ nil) | ((nil) = (sk4)))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.91/1.63 thf(co1_8, conjecture,
% 4.91/1.63 (~( ( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 4.91/1.63 ( ( nil ) = ( sk2 ) ) ))).
% 4.91/1.63 thf(zf_stmt_7, negated_conjecture,
% 4.91/1.63 (( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 4.91/1.63 ( ( nil ) = ( sk2 ) )),
% 4.91/1.63 inference('cnf.neg', [status(esa)], [co1_8])).
% 4.91/1.63 thf(zip_derived_cl192, plain,
% 4.91/1.63 ((~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil) | ((nil) = (sk2)))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.91/1.63 thf(zip_derived_cl1438, plain,
% 4.91/1.63 ((((sk3) != (sk1))
% 4.91/1.63 | ((nil) != (nil))
% 4.91/1.63 | ((nil) = (sk4))
% 4.91/1.63 | ((nil) = (sk2))
% 4.91/1.63 | ~ (segmentP @ sk2 @ sk1))),
% 4.91/1.63 inference('dp-resolution', [status(thm)],
% 4.91/1.63 [zip_derived_cl195, zip_derived_cl192])).
% 4.91/1.63 thf(zip_derived_cl1462, plain,
% 4.91/1.63 ((~ (segmentP @ sk2 @ sk1)
% 4.91/1.63 | ((nil) = (sk2))
% 4.91/1.63 | ((nil) = (sk4))
% 4.91/1.63 | ((sk3) != (sk1)))),
% 4.91/1.63 inference('simplify', [status(thm)], [zip_derived_cl1438])).
% 4.91/1.63 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.91/1.63 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.91/1.63 thf(zip_derived_cl1463, plain,
% 4.91/1.63 ((~ (segmentP @ sk2 @ sk1)
% 4.91/1.63 | ((nil) = (sk2))
% 4.91/1.63 | ((nil) = (sk2))
% 4.91/1.63 | ((sk1) != (sk1)))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl1462, zip_derived_cl189, zip_derived_cl190])).
% 4.91/1.63 thf(zip_derived_cl1464, plain,
% 4.91/1.63 ((((nil) = (sk2)) | ~ (segmentP @ sk2 @ sk1))),
% 4.91/1.63 inference('simplify', [status(thm)], [zip_derived_cl1463])).
% 4.91/1.63 thf(zip_derived_cl1478, plain, ( (rearsegP @ sk2 @ sk1)),
% 4.91/1.63 inference('simplify_reflect-', [status(thm)],
% 4.91/1.63 [zip_derived_cl1477, zip_derived_cl1473])).
% 4.91/1.63 thf(zip_derived_cl72, plain,
% 4.91/1.63 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause73])).
% 4.91/1.63 thf(clause131, axiom,
% 4.91/1.63 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 4.91/1.63 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 4.91/1.63 thf(zip_derived_cl130, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (~ (rearsegP @ X0 @ X1)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause131])).
% 4.91/1.63 thf(clause173, axiom,
% 4.91/1.63 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 4.91/1.63 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 4.91/1.63 ( segmentP @ X @ V ))).
% 4.91/1.63 thf(zip_derived_cl172, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.91/1.63 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 4.91/1.63 | ~ (ssList @ X3)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ~ (ssList @ X2)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | (segmentP @ X0 @ X2))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause173])).
% 4.91/1.63 thf(zip_derived_cl2660, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.91/1.63 (~ (ssList @ X0)
% 4.91/1.63 | ~ (ssList @ X3)
% 4.91/1.63 | ~ (rearsegP @ X0 @ X3)
% 4.91/1.63 | ((app @ X0 @ X2) != (X1))
% 4.91/1.63 | ~ (ssList @ X2)
% 4.91/1.63 | ~ (ssList @ (skaf46 @ X0 @ X3))
% 4.91/1.63 | ~ (ssList @ X3)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | (segmentP @ X1 @ X3))),
% 4.91/1.63 inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl172])).
% 4.91/1.63 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 4.91/1.63 thf(zip_derived_cl49, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 4.91/1.63 inference('cnf', [status(esa)], [clause50])).
% 4.91/1.63 thf(zip_derived_cl2683, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.91/1.63 (~ (ssList @ X0)
% 4.91/1.63 | ~ (ssList @ X3)
% 4.91/1.63 | ~ (rearsegP @ X0 @ X3)
% 4.91/1.63 | ((app @ X0 @ X2) != (X1))
% 4.91/1.63 | ~ (ssList @ X2)
% 4.91/1.63 | ~ (ssList @ X3)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | (segmentP @ X1 @ X3))),
% 4.91/1.63 inference('demod', [status(thm)], [zip_derived_cl2660, zip_derived_cl49])).
% 4.91/1.63 thf(zip_derived_cl2684, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.91/1.63 ( (segmentP @ X1 @ X3)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ~ (ssList @ X2)
% 4.91/1.63 | ((app @ X0 @ X2) != (X1))
% 4.91/1.63 | ~ (rearsegP @ X0 @ X3)
% 4.91/1.63 | ~ (ssList @ X3)
% 4.91/1.63 | ~ (ssList @ X0))),
% 4.91/1.63 inference('simplify', [status(thm)], [zip_derived_cl2683])).
% 4.91/1.63 thf(zip_derived_cl3032, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.91/1.63 (~ (ssList @ X0)
% 4.91/1.63 | (segmentP @ X1 @ X2)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ~ (ssList @ nil)
% 4.91/1.63 | ((X0) != (X1))
% 4.91/1.63 | ~ (rearsegP @ X0 @ X2)
% 4.91/1.63 | ~ (ssList @ X2)
% 4.91/1.63 | ~ (ssList @ X0))),
% 4.91/1.63 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl2684])).
% 4.91/1.63 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.91/1.63 inference('cnf', [status(esa)], [clause8])).
% 4.91/1.63 thf(zip_derived_cl3048, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.91/1.63 (~ (ssList @ X0)
% 4.91/1.63 | (segmentP @ X1 @ X2)
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | ((X0) != (X1))
% 4.91/1.63 | ~ (rearsegP @ X0 @ X2)
% 4.91/1.63 | ~ (ssList @ X2)
% 4.91/1.63 | ~ (ssList @ X0))),
% 4.91/1.63 inference('demod', [status(thm)], [zip_derived_cl3032, zip_derived_cl7])).
% 4.91/1.63 thf(zip_derived_cl3049, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.91/1.63 (~ (ssList @ X2)
% 4.91/1.63 | ~ (rearsegP @ X0 @ X2)
% 4.91/1.63 | ((X0) != (X1))
% 4.91/1.63 | ~ (ssList @ X1)
% 4.91/1.63 | (segmentP @ X1 @ X2)
% 4.91/1.63 | ~ (ssList @ X0))),
% 4.91/1.63 inference('simplify', [status(thm)], [zip_derived_cl3048])).
% 4.91/1.63 thf(zip_derived_cl3558, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (~ (ssList @ X0)
% 4.91/1.63 | (segmentP @ X0 @ X1)
% 4.91/1.63 | ~ (ssList @ X0)
% 4.91/1.63 | ~ (rearsegP @ X0 @ X1)
% 4.91/1.63 | ~ (ssList @ X1))),
% 4.91/1.63 inference('eq_res', [status(thm)], [zip_derived_cl3049])).
% 4.91/1.63 thf(zip_derived_cl3559, plain,
% 4.91/1.63 (![X0 : $i, X1 : $i]:
% 4.91/1.63 (~ (ssList @ X1)
% 4.91/1.63 | ~ (rearsegP @ X0 @ X1)
% 4.91/1.63 | (segmentP @ X0 @ X1)
% 4.91/1.63 | ~ (ssList @ X0))),
% 4.91/1.63 inference('simplify', [status(thm)], [zip_derived_cl3558])).
% 4.91/1.63 thf(zip_derived_cl3571, plain,
% 4.91/1.63 ((~ (ssList @ sk1) | (segmentP @ sk2 @ sk1) | ~ (ssList @ sk2))),
% 4.91/1.63 inference('s_sup-', [status(thm)],
% 4.91/1.63 [zip_derived_cl1478, zip_derived_cl3559])).
% 4.91/1.63 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.91/1.63 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 4.91/1.63 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.91/1.63 thf(zip_derived_cl3588, plain, ( (segmentP @ sk2 @ sk1)),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl3571, zip_derived_cl185, zip_derived_cl186])).
% 4.91/1.63 thf(zip_derived_cl3592, plain, (((nil) = (sk2))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl1464, zip_derived_cl3588])).
% 4.91/1.63 thf(zip_derived_cl3592, plain, (((nil) = (sk2))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl1464, zip_derived_cl3588])).
% 4.91/1.63 thf(zip_derived_cl3605, plain, ((((nil) != (nil)) | ((sk1) = (nil)))),
% 4.91/1.63 inference('demod', [status(thm)],
% 4.91/1.63 [zip_derived_cl2116, zip_derived_cl3592, zip_derived_cl3592])).
% 4.91/1.63 thf(zip_derived_cl3606, plain, (((sk1) = (nil))),
% 4.91/1.63 inference('simplify', [status(thm)], [zip_derived_cl3605])).
% 4.91/1.63 thf(zip_derived_cl1473, plain, (((sk1) != (nil))),
% 4.91/1.63 inference('clc', [status(thm)], [zip_derived_cl1472, zip_derived_cl1471])).
% 4.91/1.63 thf(zip_derived_cl3607, plain, ($false),
% 4.91/1.63 inference('simplify_reflect-', [status(thm)],
% 4.91/1.63 [zip_derived_cl3606, zip_derived_cl1473])).
% 4.91/1.63
% 4.91/1.63 % SZS output end Refutation
% 4.91/1.63
% 4.91/1.63
% 4.91/1.63 % Terminating...
% 5.67/1.80 % Runner terminated.
% 5.69/1.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------