%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC120-1 : 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.InJbfZ68r3 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 04:58:40 PM UTC 2025
% Result : Unsatisfiable 2.28s 1.39s
% Output : Refutation 2.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.21 % Problem : SWC120-1 : TPTP v9.2.0. Released v2.4.0.
% 0.11/0.22 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.InJbfZ68r3 true
% 0.12/0.44 % Computer : n009.cluster.edu
% 0.12/0.44 % Model : x86_64 x86_64
% 0.12/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44 % Memory : 8042.1875MB
% 0.12/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.44 % CPULimit : 300
% 0.12/0.44 % WCLimit : 300
% 0.12/0.44 % DateTime : Wed Oct 1 17:15:38 EDT 2025
% 0.12/0.45 % CPUTime :
% 0.12/0.45 % Running portfolio for 300 s
% 0.12/0.45 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.45 % Number of cores: 8
% 0.12/0.45 % Python version: Python 3.6.8
% 0.12/0.45 % Running in FO mode
% 0.26/0.70 % Total configuration time : 435
% 0.26/0.70 % Estimated wc time : 1092
% 0.26/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.28/0.82 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.28/0.84 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.28/0.85 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.28/0.93 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.28/0.96 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.28/0.96 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.28/0.96 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 2.28/1.39 % Solved by fo/fo7.sh.
% 2.28/1.39 % done 310 iterations in 0.312s
% 2.28/1.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.28/1.39 % SZS output start Refutation
% 2.28/1.39 thf(nil_type, type, nil: $i).
% 2.28/1.39 thf(cons_type, type, cons: $i > $i > $i).
% 2.28/1.39 thf(sk2_type, type, sk2: $i).
% 2.28/1.39 thf(sk4_type, type, sk4: $i).
% 2.28/1.39 thf(tl_type, type, tl: $i > $i).
% 2.28/1.39 thf(hd_type, type, hd: $i > $i).
% 2.28/1.39 thf(ssItem_type, type, ssItem: $i > $o).
% 2.28/1.39 thf(sk3_type, type, sk3: $i).
% 2.28/1.39 thf(neq_type, type, neq: $i > $i > $o).
% 2.28/1.39 thf(app_type, type, app: $i > $i > $i).
% 2.28/1.39 thf(ssList_type, type, ssList: $i > $o).
% 2.28/1.39 thf(sk1_type, type, sk1: $i).
% 2.28/1.39 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 2.28/1.39 thf(clause75, axiom,
% 2.28/1.39 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 2.28/1.39 thf(zip_derived_cl5, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause75])).
% 2.28/1.39 thf(clause100, axiom,
% 2.28/1.39 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 2.28/1.39 ( ( V ) = ( U ) ))).
% 2.28/1.39 thf(zip_derived_cl17, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause100])).
% 2.28/1.39 thf(zip_derived_cl5, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause75])).
% 2.28/1.39 thf(zip_derived_cl5, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause75])).
% 2.28/1.39 thf(clause85, axiom,
% 2.28/1.39 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 2.28/1.39 thf(zip_derived_cl11, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause85])).
% 2.28/1.39 thf(zip_derived_cl5, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause75])).
% 2.28/1.39 thf(zip_derived_cl17, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause100])).
% 2.28/1.39 thf(co1_11, conjecture,
% 2.28/1.39 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 2.28/1.39 ( ( app @ sk3 @ B ) != ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 2.28/1.39 ( ~( ssList @ B ) ) | ( ( sk4 ) = ( A ) ) | ( ~( ssList @ A ) ) ))).
% 2.28/1.39 thf(zf_stmt_0, negated_conjecture,
% 2.28/1.39 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) |
% 2.28/1.39 ( ( app @ sk3 @ B ) != ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) |
% 2.28/1.39 ( ~( ssList @ B ) ) | ( ( sk4 ) = ( A ) ) | ( ~( ssList @ A ) )),
% 2.28/1.39 inference('cnf.neg', [status(esa)], [co1_11])).
% 2.28/1.39 thf(zip_derived_cl44, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (~ (neq @ sk4 @ nil)
% 2.28/1.39 | ~ (neq @ nil @ sk4)
% 2.28/1.39 | ((app @ sk3 @ X1) != (X0))
% 2.28/1.39 | ((tl @ sk4) != (X1))
% 2.28/1.39 | ~ (ssList @ X1)
% 2.28/1.39 | ((sk4) = (X0))
% 2.28/1.39 | ~ (ssList @ X0))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.28/1.39 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 2.28/1.39 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 2.28/1.39 inference('cnf.neg', [status(esa)], [co1_5])).
% 2.28/1.39 thf(zip_derived_cl50, plain, (((sk2) = (sk4))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.28/1.39 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 2.28/1.39 thf(zf_stmt_2, negated_conjecture, (neq @ sk2 @ nil),
% 2.28/1.39 inference('cnf.neg', [status(esa)], [co1_7])).
% 2.28/1.39 thf(zip_derived_cl48, plain, ( (neq @ sk2 @ nil)),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.28/1.39 thf(zip_derived_cl50, plain, (((sk2) = (sk4))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.28/1.39 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 2.28/1.39 thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 2.28/1.39 inference('cnf.neg', [status(esa)], [co1_6])).
% 2.28/1.39 thf(zip_derived_cl49, plain, (((sk1) = (sk3))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.28/1.39 thf(zip_derived_cl50, plain, (((sk2) = (sk4))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.28/1.39 thf(zip_derived_cl50, plain, (((sk2) = (sk4))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.28/1.39 thf(zip_derived_cl509, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (~ (neq @ nil @ sk2)
% 2.28/1.39 | ((app @ sk1 @ X1) != (X0))
% 2.28/1.39 | ((tl @ sk2) != (X1))
% 2.28/1.39 | ~ (ssList @ X1)
% 2.28/1.39 | ((sk2) = (X0))
% 2.28/1.39 | ~ (ssList @ X0))),
% 2.28/1.39 inference('demod', [status(thm)],
% 2.28/1.39 [zip_derived_cl44, zip_derived_cl50, zip_derived_cl48,
% 2.28/1.39 zip_derived_cl50, zip_derived_cl49, zip_derived_cl50,
% 2.28/1.39 zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl510, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ nil)
% 2.28/1.39 | ~ (ssList @ sk2)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ((sk2) = (X0))
% 2.28/1.39 | ~ (ssList @ X1)
% 2.28/1.39 | ((tl @ sk2) != (X1))
% 2.28/1.39 | ((app @ sk1 @ X1) != (X0)))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl509])).
% 2.28/1.39 thf(clause8, axiom, (ssList @ nil)).
% 2.28/1.39 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 2.28/1.39 inference('cnf', [status(esa)], [clause8])).
% 2.28/1.39 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 2.28/1.39 thf(zf_stmt_4, negated_conjecture, (ssList @ sk4),
% 2.28/1.39 inference('cnf.neg', [status(esa)], [co1_4])).
% 2.28/1.39 thf(zip_derived_cl51, plain, ( (ssList @ sk4)),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.28/1.39 thf(zip_derived_cl50, plain, (((sk2) = (sk4))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.28/1.39 thf(zip_derived_cl58, plain, ( (ssList @ sk2)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl512, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ((sk2) = (X0))
% 2.28/1.39 | ~ (ssList @ X1)
% 2.28/1.39 | ((tl @ sk2) != (X1))
% 2.28/1.39 | ((app @ sk1 @ X1) != (X0)))),
% 2.28/1.39 inference('demod', [status(thm)],
% 2.28/1.39 [zip_derived_cl510, zip_derived_cl0, zip_derived_cl58])).
% 2.28/1.39 thf(zip_derived_cl513, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((app @ sk1 @ (tl @ sk2)) != (X0))
% 2.28/1.39 | ~ (ssList @ (tl @ sk2))
% 2.28/1.39 | ((sk2) = (X0))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ((nil) = (sk2)))),
% 2.28/1.39 inference('eq_res', [status(thm)], [zip_derived_cl512])).
% 2.28/1.39 thf(zip_derived_cl517, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ sk2)
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ((sk2) = (X0))
% 2.28/1.39 | ((app @ sk1 @ (tl @ sk2)) != (X0)))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl513])).
% 2.28/1.39 thf(zip_derived_cl58, plain, ( (ssList @ sk2)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl518, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((nil) = (sk2))
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ((sk2) = (X0))
% 2.28/1.39 | ((app @ sk1 @ (tl @ sk2)) != (X0)))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl517, zip_derived_cl58])).
% 2.28/1.39 thf(zip_derived_cl519, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((app @ sk1 @ (tl @ sk2)) != (X0))
% 2.28/1.39 | ((sk2) = (X0))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ((nil) = (sk2)))),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl518])).
% 2.28/1.39 thf(zip_derived_cl545, plain,
% 2.28/1.39 ((((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ (app @ sk1 @ (tl @ sk2)))
% 2.28/1.39 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 2.28/1.39 inference('eq_res', [status(thm)], [zip_derived_cl519])).
% 2.28/1.39 thf(zip_derived_cl579, plain,
% 2.28/1.39 ((~ (ssList @ sk1)
% 2.28/1.39 | ~ (ssList @ (tl @ sk2))
% 2.28/1.39 | ((sk2) = (app @ sk1 @ (tl @ sk2)))
% 2.28/1.39 | ((nil) = (sk2)))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl545])).
% 2.28/1.39 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 2.28/1.39 thf(zf_stmt_5, negated_conjecture, (ssList @ sk3),
% 2.28/1.39 inference('cnf.neg', [status(esa)], [co1_3])).
% 2.28/1.39 thf(zip_derived_cl52, plain, ( (ssList @ sk3)),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.28/1.39 thf(zip_derived_cl49, plain, (((sk1) = (sk3))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.28/1.39 thf(zip_derived_cl59, plain, ( (ssList @ sk1)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl49])).
% 2.28/1.39 thf(zip_derived_cl581, plain,
% 2.28/1.39 ((~ (ssList @ (tl @ sk2))
% 2.28/1.39 | ((sk2) = (app @ sk1 @ (tl @ sk2)))
% 2.28/1.39 | ((nil) = (sk2)))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl579, zip_derived_cl59])).
% 2.28/1.39 thf(zip_derived_cl584, plain,
% 2.28/1.39 ((((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ sk2)
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl581])).
% 2.28/1.39 thf(zip_derived_cl58, plain, ( (ssList @ sk2)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl585, plain,
% 2.28/1.39 ((((nil) = (sk2)) | ((nil) = (sk2)) | ((sk2) = (app @ sk1 @ (tl @ sk2))))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl584, zip_derived_cl58])).
% 2.28/1.39 thf(zip_derived_cl586, plain,
% 2.28/1.39 ((((sk2) = (app @ sk1 @ (tl @ sk2))) | ((nil) = (sk2)))),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl585])).
% 2.28/1.39 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 2.28/1.39 thf(zip_derived_cl4, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause74])).
% 2.28/1.39 thf(clause173, axiom,
% 2.28/1.39 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 2.28/1.39 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 2.28/1.39 ( segmentP @ X @ V ))).
% 2.28/1.39 thf(zip_derived_cl41, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.28/1.39 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 2.28/1.39 | ~ (ssList @ X3)
% 2.28/1.39 | ~ (ssList @ X1)
% 2.28/1.39 | ~ (ssList @ X2)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | (segmentP @ X0 @ X2))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause173])).
% 2.28/1.39 thf(zip_derived_cl784, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.28/1.39 (((app @ X0 @ X2) != (X1))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | (segmentP @ X1 @ X0)
% 2.28/1.39 | ~ (ssList @ X1)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ~ (ssList @ nil)
% 2.28/1.39 | ~ (ssList @ X2))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl41])).
% 2.28/1.39 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 2.28/1.39 inference('cnf', [status(esa)], [clause8])).
% 2.28/1.39 thf(zip_derived_cl800, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.28/1.39 (((app @ X0 @ X2) != (X1))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | (segmentP @ X1 @ X0)
% 2.28/1.39 | ~ (ssList @ X1)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ~ (ssList @ X2))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl784, zip_derived_cl0])).
% 2.28/1.39 thf(zip_derived_cl801, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.28/1.39 (~ (ssList @ X2)
% 2.28/1.39 | ~ (ssList @ X1)
% 2.28/1.39 | (segmentP @ X1 @ X0)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ((app @ X0 @ X2) != (X1)))),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl800])).
% 2.28/1.39 thf(zip_derived_cl815, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((sk2) != (X0))
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ sk1)
% 2.28/1.39 | (segmentP @ X0 @ sk1)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ~ (ssList @ (tl @ sk2)))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl801])).
% 2.28/1.39 thf(zip_derived_cl59, plain, ( (ssList @ sk1)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl49])).
% 2.28/1.39 thf(zip_derived_cl828, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((sk2) != (X0))
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | (segmentP @ X0 @ sk1)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ~ (ssList @ (tl @ sk2)))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl815, zip_derived_cl59])).
% 2.28/1.39 thf(zip_derived_cl1045, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ sk2)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | (segmentP @ X0 @ sk1)
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ((sk2) != (X0)))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl828])).
% 2.28/1.39 thf(zip_derived_cl58, plain, ( (ssList @ sk2)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl1047, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | (segmentP @ X0 @ sk1)
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ((sk2) != (X0)))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl1045, zip_derived_cl58])).
% 2.28/1.39 thf(zip_derived_cl1048, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((sk2) != (X0))
% 2.28/1.39 | (segmentP @ X0 @ sk1)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ((nil) = (sk2)))),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl1047])).
% 2.28/1.39 thf(zip_derived_cl1050, plain,
% 2.28/1.39 ((((nil) = (sk2)) | ~ (ssList @ sk2) | (segmentP @ sk2 @ sk1))),
% 2.28/1.39 inference('eq_res', [status(thm)], [zip_derived_cl1048])).
% 2.28/1.39 thf(zip_derived_cl58, plain, ( (ssList @ sk2)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl1051, plain, ((((nil) = (sk2)) | (segmentP @ sk2 @ sk1))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl1050, zip_derived_cl58])).
% 2.28/1.39 thf(co1_12, conjecture,
% 2.28/1.39 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( segmentP @ sk2 @ sk1 ) ) |
% 2.28/1.39 ( ~( neq @ sk1 @ nil ) ) ))).
% 2.28/1.39 thf(zf_stmt_6, negated_conjecture,
% 2.28/1.39 (( ~( neq @ sk4 @ nil ) ) | ( ~( segmentP @ sk2 @ sk1 ) ) |
% 2.28/1.39 ( ~( neq @ sk1 @ nil ) )),
% 2.28/1.39 inference('cnf.neg', [status(esa)], [co1_12])).
% 2.28/1.39 thf(zip_derived_cl43, plain,
% 2.28/1.39 ((~ (neq @ sk4 @ nil) | ~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.28/1.39 thf(zip_derived_cl50, plain, (((sk2) = (sk4))),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.28/1.39 thf(zip_derived_cl57, plain,
% 2.28/1.39 ((~ (neq @ sk2 @ nil) | ~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl48, plain, ( (neq @ sk2 @ nil)),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.28/1.39 thf(zip_derived_cl63, plain,
% 2.28/1.39 ((~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl48])).
% 2.28/1.39 thf(zip_derived_cl1058, plain, ((((nil) = (sk2)) | ~ (neq @ sk1 @ nil))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl1051, zip_derived_cl63])).
% 2.28/1.39 thf(zip_derived_cl1066, plain,
% 2.28/1.39 ((((sk1) = (nil)) | ~ (ssList @ sk1) | ~ (ssList @ nil) | ((nil) = (sk2)))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl1058])).
% 2.28/1.39 thf(zip_derived_cl59, plain, ( (ssList @ sk1)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl49])).
% 2.28/1.39 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 2.28/1.39 inference('cnf', [status(esa)], [clause8])).
% 2.28/1.39 thf(zip_derived_cl1072, plain, ((((sk1) = (nil)) | ((nil) = (sk2)))),
% 2.28/1.39 inference('demod', [status(thm)],
% 2.28/1.39 [zip_derived_cl1066, zip_derived_cl59, zip_derived_cl0])).
% 2.28/1.39 thf(zip_derived_cl48, plain, ( (neq @ sk2 @ nil)),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.28/1.39 thf(zip_derived_cl1073, plain, (( (neq @ nil @ nil) | ((sk1) = (nil)))),
% 2.28/1.39 inference('sup+', [status(thm)], [zip_derived_cl1072, zip_derived_cl48])).
% 2.28/1.39 thf(zip_derived_cl586, plain,
% 2.28/1.39 ((((sk2) = (app @ sk1 @ (tl @ sk2))) | ((nil) = (sk2)))),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl585])).
% 2.28/1.39 thf(zip_derived_cl1109, plain,
% 2.28/1.39 ((((sk2) = (app @ nil @ (tl @ sk2)))
% 2.28/1.39 | (neq @ nil @ nil)
% 2.28/1.39 | ((nil) = (sk2)))),
% 2.28/1.39 inference('sup+', [status(thm)], [zip_derived_cl1073, zip_derived_cl586])).
% 2.28/1.39 thf(zip_derived_cl4, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause74])).
% 2.28/1.39 thf(zip_derived_cl1194, plain,
% 2.28/1.39 ((((sk2) = (tl @ sk2))
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | (neq @ nil @ nil)
% 2.28/1.39 | ~ (ssList @ (tl @ sk2)))),
% 2.28/1.39 inference('sup+', [status(thm)], [zip_derived_cl1109, zip_derived_cl4])).
% 2.28/1.39 thf(zip_derived_cl1444, plain,
% 2.28/1.39 ((((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ sk2)
% 2.28/1.39 | (neq @ nil @ nil)
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ((sk2) = (tl @ sk2)))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl1194])).
% 2.28/1.39 thf(zip_derived_cl58, plain, ( (ssList @ sk2)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl1446, plain,
% 2.28/1.39 ((((nil) = (sk2))
% 2.28/1.39 | (neq @ nil @ nil)
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ((sk2) = (tl @ sk2)))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl1444, zip_derived_cl58])).
% 2.28/1.39 thf(zip_derived_cl1447, plain,
% 2.28/1.39 ((((sk2) = (tl @ sk2)) | (neq @ nil @ nil) | ((nil) = (sk2)))),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl1446])).
% 2.28/1.39 thf(clause104, axiom,
% 2.28/1.39 (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) |
% 2.28/1.39 ( ( nil ) = ( U ) ))).
% 2.28/1.39 thf(zip_derived_cl19, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (~ (ssList @ X0)
% 2.28/1.39 | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 2.28/1.39 | ((nil) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause104])).
% 2.28/1.39 thf(clause99, axiom,
% 2.28/1.39 (( ( cons @ U @ V ) != ( V ) ) | ( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ))).
% 2.28/1.39 thf(zip_derived_cl16, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (((cons @ X1 @ X0) != (X0)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause99])).
% 2.28/1.39 thf(zip_derived_cl139, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((X0) != (tl @ X0))
% 2.28/1.39 | ((nil) = (X0))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ~ (ssList @ (tl @ X0))
% 2.28/1.39 | ~ (ssItem @ (hd @ X0)))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl16])).
% 2.28/1.39 thf(zip_derived_cl140, plain,
% 2.28/1.39 (![X0 : $i]:
% 2.28/1.39 (((X0) != (tl @ X0))
% 2.28/1.39 | ((nil) = (X0))
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ~ (ssItem @ (hd @ X0)))),
% 2.28/1.39 inference('local_rewriting', [status(thm)], [zip_derived_cl139])).
% 2.28/1.39 thf(clause76, axiom,
% 2.28/1.39 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 2.28/1.39 thf(zip_derived_cl6, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause76])).
% 2.28/1.39 thf(zip_derived_cl141, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | ((nil) = (X0)) | ((X0) != (tl @ X0)))),
% 2.28/1.39 inference('clc', [status(thm)], [zip_derived_cl140, zip_derived_cl6])).
% 2.28/1.39 thf(zip_derived_cl1451, plain,
% 2.28/1.39 ((((sk2) != (sk2))
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | (neq @ nil @ nil)
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | ~ (ssList @ sk2))),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl1447, zip_derived_cl141])).
% 2.28/1.39 thf(zip_derived_cl58, plain, ( (ssList @ sk2)),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl50])).
% 2.28/1.39 thf(zip_derived_cl1467, plain,
% 2.28/1.39 ((((sk2) != (sk2))
% 2.28/1.39 | ((nil) = (sk2))
% 2.28/1.39 | (neq @ nil @ nil)
% 2.28/1.39 | ((nil) = (sk2)))),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl1451, zip_derived_cl58])).
% 2.28/1.39 thf(zip_derived_cl1468, plain, (( (neq @ nil @ nil) | ((nil) = (sk2)))),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl1467])).
% 2.28/1.39 thf(zip_derived_cl48, plain, ( (neq @ sk2 @ nil)),
% 2.28/1.39 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.28/1.39 thf(zip_derived_cl1480, plain, (( (neq @ nil @ nil) | (neq @ nil @ nil))),
% 2.28/1.39 inference('sup+', [status(thm)], [zip_derived_cl1468, zip_derived_cl48])).
% 2.28/1.39 thf(zip_derived_cl1496, plain, ( (neq @ nil @ nil)),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl1480])).
% 2.28/1.39 thf(clause115, axiom,
% 2.28/1.39 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 2.28/1.39 ( ~( ssList @ U ) ))).
% 2.28/1.39 thf(zip_derived_cl20, plain,
% 2.28/1.39 (![X0 : $i, X1 : $i]:
% 2.28/1.39 (((X1) != (X0))
% 2.28/1.39 | ~ (neq @ X1 @ X0)
% 2.28/1.39 | ~ (ssList @ X0)
% 2.28/1.39 | ~ (ssList @ X1))),
% 2.28/1.39 inference('cnf', [status(esa)], [clause115])).
% 2.28/1.39 thf(zip_derived_cl55, plain,
% 2.28/1.39 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 2.28/1.39 inference('eq_res', [status(thm)], [zip_derived_cl20])).
% 2.28/1.39 thf(zip_derived_cl56, plain,
% 2.28/1.39 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 2.28/1.39 inference('simplify', [status(thm)], [zip_derived_cl55])).
% 2.28/1.39 thf(zip_derived_cl1501, plain, (~ (ssList @ nil)),
% 2.28/1.39 inference('sup-', [status(thm)], [zip_derived_cl1496, zip_derived_cl56])).
% 2.28/1.39 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 2.28/1.39 inference('cnf', [status(esa)], [clause8])).
% 2.28/1.39 thf(zip_derived_cl1503, plain, ($false),
% 2.28/1.39 inference('demod', [status(thm)], [zip_derived_cl1501, zip_derived_cl0])).
% 2.28/1.39
% 2.28/1.39 % SZS output end Refutation
% 2.28/1.39
% 2.28/1.39
% 2.28/1.39 % Terminating...
% 2.48/1.53 % Runner terminated.
% 2.53/1.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------