%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC126-1 : 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.RflegU4bX3 true
% Computer : n001.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 04:58:42 PM UTC 2025
% Result : Unsatisfiable 130.70s 19.30s
% Output : Refutation 130.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC126-1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RflegU4bX3 true
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:05:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.42/0.63 % Total configuration time : 435
% 0.42/0.63 % Estimated wc time : 1092
% 0.42/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 130.70/19.30 % Solved by fo/fo5.sh.
% 130.70/19.30 % done 11358 iterations in 18.515s
% 130.70/19.30 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 130.70/19.30 % SZS output start Refutation
% 130.70/19.30 thf(nil_type, type, nil: $i).
% 130.70/19.30 thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 130.70/19.30 thf(cons_type, type, cons: $i > $i > $i).
% 130.70/19.30 thf(sk2_type, type, sk2: $i).
% 130.70/19.30 thf(sk4_type, type, sk4: $i).
% 130.70/19.30 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 130.70/19.30 thf(skaf42_type, type, skaf42: $i > $i > $i).
% 130.70/19.30 thf(tl_type, type, tl: $i > $i).
% 130.70/19.30 thf(memberP_type, type, memberP: $i > $i > $o).
% 130.70/19.30 thf(hd_type, type, hd: $i > $i).
% 130.70/19.30 thf(ssItem_type, type, ssItem: $i > $o).
% 130.70/19.30 thf(skaf43_type, type, skaf43: $i > $i > $i).
% 130.70/19.30 thf(skaf46_type, type, skaf46: $i > $i > $i).
% 130.70/19.30 thf(skaf82_type, type, skaf82: $i > $i).
% 130.70/19.30 thf(sk5_type, type, sk5: $i).
% 130.70/19.30 thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 130.70/19.30 thf(sk3_type, type, sk3: $i).
% 130.70/19.30 thf(neq_type, type, neq: $i > $i > $o).
% 130.70/19.30 thf(app_type, type, app: $i > $i > $i).
% 130.70/19.30 thf(ssList_type, type, ssList: $i > $o).
% 130.70/19.30 thf(sk1_type, type, sk1: $i).
% 130.70/19.30 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 130.70/19.30 thf(co1_15, conjecture,
% 130.70/19.30 (~( ( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk4 @ sk5 ) ))).
% 130.70/19.30 thf(zf_stmt_0, negated_conjecture,
% 130.70/19.30 (( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk4 @ sk5 )),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_15])).
% 130.70/19.30 thf(zip_derived_cl199, plain,
% 130.70/19.30 ((~ (neq @ sk4 @ nil) | (memberP @ sk4 @ sk5))),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 130.70/19.30 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 130.70/19.30 thf(zf_stmt_1, negated_conjecture, (neq @ sk2 @ nil),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_7])).
% 130.70/19.30 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_1])).
% 130.70/19.30 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 130.70/19.30 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_5])).
% 130.70/19.30 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_2])).
% 130.70/19.30 thf(zip_derived_cl203, plain, ( (neq @ sk4 @ nil)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 130.70/19.30 thf(zip_derived_cl206, plain, ( (memberP @ sk4 @ sk5)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl203])).
% 130.70/19.30 thf(co1_14, conjecture,
% 130.70/19.30 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 130.70/19.30 thf(zf_stmt_3, negated_conjecture,
% 130.70/19.30 (( ~( neq @ sk4 @ nil ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_14])).
% 130.70/19.30 thf(zip_derived_cl198, plain,
% 130.70/19.30 ((~ (neq @ sk4 @ nil) | ((cons @ sk5 @ nil) = (sk3)))),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_3])).
% 130.70/19.30 thf(zip_derived_cl203, plain, ( (neq @ sk4 @ nil)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 130.70/19.30 thf(zip_derived_cl210, plain, (((cons @ sk5 @ nil) = (sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl203])).
% 130.70/19.30 thf(zip_derived_cl210, plain, (((cons @ sk5 @ nil) = (sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl203])).
% 130.70/19.30 thf(clause96, axiom,
% 130.70/19.30 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 130.70/19.30 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 130.70/19.30 thf(zip_derived_cl95, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause96])).
% 130.70/19.30 thf(zip_derived_cl484, plain,
% 130.70/19.30 ((((tl @ sk3) = (nil)) | ~ (ssList @ nil) | ~ (ssItem @ sk5))),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl95])).
% 130.70/19.30 thf(clause8, axiom, (ssList @ nil)).
% 130.70/19.30 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 130.70/19.30 inference('cnf', [status(esa)], [clause8])).
% 130.70/19.30 thf(co1_13, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 130.70/19.30 thf(zf_stmt_4, negated_conjecture,
% 130.70/19.30 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_13])).
% 130.70/19.30 thf(zip_derived_cl197, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_4])).
% 130.70/19.30 thf(zip_derived_cl203, plain, ( (neq @ sk4 @ nil)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 130.70/19.30 thf(zip_derived_cl204, plain, ( (ssItem @ sk5)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl203])).
% 130.70/19.30 thf(zip_derived_cl485, plain, (((tl @ sk3) = (nil))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl484, zip_derived_cl7, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl524, plain, (((cons @ sk5 @ (tl @ sk3)) = (sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl485])).
% 130.70/19.30 thf(clause97, axiom,
% 130.70/19.30 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 130.70/19.30 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 130.70/19.30 thf(zip_derived_cl96, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause97])).
% 130.70/19.30 thf(zip_derived_cl676, plain,
% 130.70/19.30 ((((hd @ sk3) = (sk5)) | ~ (ssList @ (tl @ sk3)) | ~ (ssItem @ sk5))),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl524, zip_derived_cl96])).
% 130.70/19.30 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 130.70/19.30 inference('cnf', [status(esa)], [clause8])).
% 130.70/19.30 thf(zip_derived_cl485, plain, (((tl @ sk3) = (nil))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl484, zip_derived_cl7, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl493, plain, ( (ssList @ (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl204, plain, ( (ssItem @ sk5)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl203])).
% 130.70/19.30 thf(zip_derived_cl680, plain, (((hd @ sk3) = (sk5))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl676, zip_derived_cl493, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl683, plain, ( (memberP @ sk4 @ (hd @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl680])).
% 130.70/19.30 thf(clause169, axiom,
% 130.70/19.30 (( ~( memberP @ U @ V ) ) | ( ~( ssItem @ V ) ) | ( ~( ssList @ U ) ) |
% 130.70/19.30 ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) ) = ( U ) ))).
% 130.70/19.30 thf(zip_derived_cl168, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (memberP @ X0 @ X1)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ((app @ (skaf42 @ X0 @ X1) @ (cons @ X1 @ (skaf43 @ X1 @ X0)))
% 130.70/19.30 = (X0)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause169])).
% 130.70/19.30 thf(zip_derived_cl4133, plain,
% 130.70/19.30 ((((app @ (skaf42 @ sk4 @ (hd @ sk3)) @
% 130.70/19.30 (cons @ (hd @ sk3) @ (skaf43 @ (hd @ sk3) @ sk4))) = (sk4))
% 130.70/19.30 | ~ (ssList @ sk4)
% 130.70/19.30 | ~ (ssItem @ (hd @ sk3)))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl683, zip_derived_cl168])).
% 130.70/19.30 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 130.70/19.30 thf(zf_stmt_5, negated_conjecture, (ssList @ sk4),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_4])).
% 130.70/19.30 thf(zip_derived_cl188, plain, ( (ssList @ sk4)),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_5])).
% 130.70/19.30 thf(zip_derived_cl204, plain, ( (ssItem @ sk5)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl203])).
% 130.70/19.30 thf(zip_derived_cl680, plain, (((hd @ sk3) = (sk5))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl676, zip_derived_cl493, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl682, plain, ( (ssItem @ (hd @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl680])).
% 130.70/19.30 thf(zip_derived_cl4143, plain,
% 130.70/19.30 (((app @ (skaf42 @ sk4 @ (hd @ sk3)) @
% 130.70/19.30 (cons @ (hd @ sk3) @ (skaf43 @ (hd @ sk3) @ sk4))) = (sk4))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl4133, zip_derived_cl188, zip_derived_cl682])).
% 130.70/19.30 thf(clause120, axiom,
% 130.70/19.30 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 130.70/19.30 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 130.70/19.30 thf(zip_derived_cl119, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause120])).
% 130.70/19.30 thf(zip_derived_cl485, plain, (((tl @ sk3) = (nil))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl484, zip_derived_cl7, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl1523, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ((app @ (cons @ X0 @ (tl @ sk3)) @ X1) = (cons @ X0 @ X1)))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl485])).
% 130.70/19.30 thf(clause149, axiom,
% 130.70/19.30 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 130.70/19.30 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 130.70/19.30 thf(zip_derived_cl148, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause149])).
% 130.70/19.30 thf(clause173, axiom,
% 130.70/19.30 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 130.70/19.30 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 130.70/19.30 ( segmentP @ X @ V ))).
% 130.70/19.30 thf(zip_derived_cl172, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 130.70/19.30 | ~ (ssList @ X3)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | (segmentP @ X0 @ X2))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause173])).
% 130.70/19.30 thf(zip_derived_cl4407, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (((app @ X2 @ (app @ X1 @ X0)) != (X3))
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | (segmentP @ X3 @ X1)
% 130.70/19.30 | ~ (ssList @ X3)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl172])).
% 130.70/19.30 thf(zip_derived_cl4430, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (~ (ssList @ X3)
% 130.70/19.30 | (segmentP @ X3 @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ((app @ X2 @ (app @ X1 @ X0)) != (X3)))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl4407])).
% 130.70/19.30 thf(zip_derived_cl4783, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (((app @ X3 @ (cons @ X1 @ X0)) != (X2))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ X3)
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ (tl @ sk3)))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | (segmentP @ X2 @ (cons @ X1 @ (tl @ sk3)))
% 130.70/19.30 | ~ (ssList @ X2))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl1523, zip_derived_cl4430])).
% 130.70/19.30 thf(zip_derived_cl4801, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (~ (ssList @ X2)
% 130.70/19.30 | (segmentP @ X2 @ (cons @ X1 @ (tl @ sk3)))
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ (tl @ sk3)))
% 130.70/19.30 | ~ (ssList @ X3)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ((app @ X3 @ (cons @ X1 @ X0)) != (X2)))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl4783])).
% 130.70/19.30 thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 130.70/19.30 thf(zip_derived_cl59, plain,
% 130.70/19.30 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ nil))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause60])).
% 130.70/19.30 thf(zip_derived_cl485, plain, (((tl @ sk3) = (nil))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl484, zip_derived_cl7, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl497, plain,
% 130.70/19.30 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ (tl @ sk3)))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl485])).
% 130.70/19.30 thf(clause59, axiom, (( ~( ssList @ U ) ) | ( rearsegP @ U @ U ))).
% 130.70/19.30 thf(zip_derived_cl58, plain,
% 130.70/19.30 (![X0 : $i]: (~ (ssList @ X0) | (rearsegP @ X0 @ X0))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause59])).
% 130.70/19.30 thf(clause131, axiom,
% 130.70/19.30 (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 130.70/19.30 ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 130.70/19.30 thf(zip_derived_cl130, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (rearsegP @ X0 @ X1)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause131])).
% 130.70/19.30 thf(zip_derived_cl1834, plain,
% 130.70/19.30 (![X0 : $i]:
% 130.70/19.30 (~ (ssList @ X0)
% 130.70/19.30 | ((app @ (skaf46 @ X0 @ X0) @ X0) = (X0))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl130])).
% 130.70/19.30 thf(zip_derived_cl1838, plain,
% 130.70/19.30 (![X0 : $i]: (((app @ (skaf46 @ X0 @ X0) @ X0) = (X0)) | ~ (ssList @ X0))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl1834])).
% 130.70/19.30 thf(clause61, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ U ))).
% 130.70/19.30 thf(zip_derived_cl60, plain,
% 130.70/19.30 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ X0))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause61])).
% 130.70/19.30 thf(clause137, axiom,
% 130.70/19.30 (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) |
% 130.70/19.30 ( ~( ssList @ U ) ) | ( frontsegP @ ( app @ U @ W ) @ V ))).
% 130.70/19.30 thf(zip_derived_cl136, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (frontsegP @ X0 @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | (frontsegP @ (app @ X0 @ X2) @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause137])).
% 130.70/19.30 thf(zip_derived_cl2124, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssList @ X0)
% 130.70/19.30 | (frontsegP @ (app @ X0 @ X1) @ X0)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X1))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl136])).
% 130.70/19.30 thf(zip_derived_cl2127, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssList @ X1)
% 130.70/19.30 | (frontsegP @ (app @ X0 @ X1) @ X0)
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl2124])).
% 130.70/19.30 thf(zip_derived_cl2601, plain,
% 130.70/19.30 (![X0 : $i]:
% 130.70/19.30 ( (frontsegP @ X0 @ (skaf46 @ X0 @ X0))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ (skaf46 @ X0 @ X0))
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl1838, zip_derived_cl2127])).
% 130.70/19.30 thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 130.70/19.30 thf(zip_derived_cl49, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause50])).
% 130.70/19.30 thf(zip_derived_cl2612, plain,
% 130.70/19.30 (![X0 : $i]:
% 130.70/19.30 ( (frontsegP @ X0 @ (skaf46 @ X0 @ X0))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl2601, zip_derived_cl49])).
% 130.70/19.30 thf(zip_derived_cl2613, plain,
% 130.70/19.30 (![X0 : $i]: (~ (ssList @ X0) | (frontsegP @ X0 @ (skaf46 @ X0 @ X0)))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl2612])).
% 130.70/19.30 thf(clause129, axiom,
% 130.70/19.30 (( ~( frontsegP @ U @ V ) ) | ( ~( frontsegP @ V @ U ) ) |
% 130.70/19.30 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 130.70/19.30 thf(zip_derived_cl128, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (frontsegP @ X0 @ X1)
% 130.70/19.30 | ~ (frontsegP @ X1 @ X0)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ((X1) = (X0)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause129])).
% 130.70/19.30 thf(zip_derived_cl2635, plain,
% 130.70/19.30 (![X0 : $i]:
% 130.70/19.30 (~ (ssList @ X0)
% 130.70/19.30 | ((skaf46 @ X0 @ X0) = (X0))
% 130.70/19.30 | ~ (ssList @ (skaf46 @ X0 @ X0))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (frontsegP @ (skaf46 @ X0 @ X0) @ X0))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl2613, zip_derived_cl128])).
% 130.70/19.30 thf(zip_derived_cl49, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause50])).
% 130.70/19.30 thf(zip_derived_cl2638, plain,
% 130.70/19.30 (![X0 : $i]:
% 130.70/19.30 (~ (ssList @ X0)
% 130.70/19.30 | ((skaf46 @ X0 @ X0) = (X0))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (frontsegP @ (skaf46 @ X0 @ X0) @ X0))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl2635, zip_derived_cl49])).
% 130.70/19.30 thf(zip_derived_cl2639, plain,
% 130.70/19.30 (![X0 : $i]:
% 130.70/19.30 (~ (frontsegP @ (skaf46 @ X0 @ X0) @ X0)
% 130.70/19.30 | ((skaf46 @ X0 @ X0) = (X0))
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl2638])).
% 130.70/19.30 thf(zip_derived_cl2644, plain,
% 130.70/19.30 ((~ (ssList @ (skaf46 @ (tl @ sk3) @ (tl @ sk3)))
% 130.70/19.30 | ~ (ssList @ (tl @ sk3))
% 130.70/19.30 | ((skaf46 @ (tl @ sk3) @ (tl @ sk3)) = (tl @ sk3)))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl497, zip_derived_cl2639])).
% 130.70/19.30 thf(zip_derived_cl49, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause50])).
% 130.70/19.30 thf(zip_derived_cl493, plain, ( (ssList @ (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl2645, plain,
% 130.70/19.30 (((skaf46 @ (tl @ sk3) @ (tl @ sk3)) = (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl2644, zip_derived_cl49, zip_derived_cl493])).
% 130.70/19.30 thf(zip_derived_cl1838, plain,
% 130.70/19.30 (![X0 : $i]: (((app @ (skaf46 @ X0 @ X0) @ X0) = (X0)) | ~ (ssList @ X0))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl1834])).
% 130.70/19.30 thf(zip_derived_cl2648, plain,
% 130.70/19.30 ((((app @ (tl @ sk3) @ (tl @ sk3)) = (tl @ sk3))
% 130.70/19.30 | ~ (ssList @ (tl @ sk3)))),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl2645, zip_derived_cl1838])).
% 130.70/19.30 thf(zip_derived_cl493, plain, ( (ssList @ (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl2651, plain,
% 130.70/19.30 (((app @ (tl @ sk3) @ (tl @ sk3)) = (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl2648, zip_derived_cl493])).
% 130.70/19.30 thf(clause157, axiom,
% 130.70/19.30 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 130.70/19.30 ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 130.70/19.30 thf(zip_derived_cl156, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (ssItem @ X0)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause157])).
% 130.70/19.30 thf(clause85, axiom,
% 130.70/19.30 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 130.70/19.30 thf(zip_derived_cl84, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause85])).
% 130.70/19.30 thf(zip_derived_cl3350, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssItem @ X2)
% 130.70/19.30 | ~ (ssList @ (cons @ X2 @ X1))
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 130.70/19.30 thf(zip_derived_cl3377, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (ssList @ (cons @ X2 @ X1))
% 130.70/19.30 | ~ (ssItem @ X2)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl3350])).
% 130.70/19.30 thf(clause86, axiom,
% 130.70/19.30 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 130.70/19.30 thf(zip_derived_cl85, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause86])).
% 130.70/19.30 thf(zip_derived_cl3392, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssItem @ X2))),
% 130.70/19.30 inference('clc', [status(thm)], [zip_derived_cl3377, zip_derived_cl85])).
% 130.70/19.30 thf(zip_derived_cl3426, plain,
% 130.70/19.30 (![X0 : $i]:
% 130.70/19.30 ( (ssList @ (cons @ X0 @ (tl @ sk3)))
% 130.70/19.30 | ~ (ssItem @ X0)
% 130.70/19.30 | ~ (ssList @ (tl @ sk3))
% 130.70/19.30 | ~ (ssList @ (tl @ sk3)))),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl2651, zip_derived_cl3392])).
% 130.70/19.30 thf(zip_derived_cl493, plain, ( (ssList @ (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl493, plain, ( (ssList @ (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl3436, plain,
% 130.70/19.30 (![X0 : $i]: ( (ssList @ (cons @ X0 @ (tl @ sk3))) | ~ (ssItem @ X0))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl3426, zip_derived_cl493, zip_derived_cl493])).
% 130.70/19.30 thf(zip_derived_cl84, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause85])).
% 130.70/19.30 thf(clause72, axiom,
% 130.70/19.30 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 130.70/19.30 thf(zip_derived_cl71, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause72])).
% 130.70/19.30 thf(zip_derived_cl403, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (ssList @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | (ssItem @ X2)
% 130.70/19.30 | (duplicatefreeP @ (app @ X1 @ X0)))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl71])).
% 130.70/19.30 thf(zip_derived_cl84, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause85])).
% 130.70/19.30 thf(zip_derived_cl1838, plain,
% 130.70/19.30 (![X0 : $i]: (((app @ (skaf46 @ X0 @ X0) @ X0) = (X0)) | ~ (ssList @ X0))),
% 130.70/19.30 inference('simplify', [status(thm)], [zip_derived_cl1834])).
% 130.70/19.30 thf(clause179, axiom,
% 130.70/19.30 (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) |
% 130.70/19.30 ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) |
% 130.70/19.30 ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 130.70/19.30 thf(zip_derived_cl178, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 130.70/19.30 (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 130.70/19.30 | ~ (ssList @ X4)
% 130.70/19.30 | ~ (ssList @ X3)
% 130.70/19.30 | ~ (ssList @ X1)
% 130.70/19.30 | ~ (ssItem @ X2)
% 130.70/19.30 | ~ (duplicatefreeP @ X0)
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause179])).
% 130.70/19.30 thf(zip_derived_cl4957, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2))
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ X0))
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (duplicatefreeP @ X2)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ (skaf46 @ (cons @ X1 @ X0) @ (cons @ X1 @ X0)))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X3))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl1838, zip_derived_cl178])).
% 130.70/19.30 thf(zip_derived_cl49, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]: (ssList @ (skaf46 @ X0 @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause50])).
% 130.70/19.30 thf(zip_derived_cl4978, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2))
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ X0))
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (duplicatefreeP @ X2)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl4957, zip_derived_cl49])).
% 130.70/19.30 thf(zip_derived_cl85, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause86])).
% 130.70/19.30 thf(zip_derived_cl6754, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (~ (ssList @ X3)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (duplicatefreeP @ X2)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2)))),
% 130.70/19.30 inference('clc', [status(thm)], [zip_derived_cl4978, zip_derived_cl85])).
% 130.70/19.30 thf(zip_derived_cl6765, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (ssList @ (app @ (cons @ X1 @ X2) @ (cons @ X1 @ X0)))
% 130.70/19.30 | ~ (duplicatefreeP @ (app @ (cons @ X1 @ X2) @ (cons @ X1 @ X0)))
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('eq_res', [status(thm)], [zip_derived_cl6754])).
% 130.70/19.30 thf(zip_derived_cl6775, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (ssList @ (cons @ X1 @ X2))
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ X0))
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (duplicatefreeP @ (app @ (cons @ X1 @ X2) @ (cons @ X1 @ X0))))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6765])).
% 130.70/19.30 thf(zip_derived_cl85, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause86])).
% 130.70/19.30 thf(zip_derived_cl6795, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (duplicatefreeP @ (app @ (cons @ X1 @ X2) @ (cons @ X1 @ X0)))
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ X0)))),
% 130.70/19.30 inference('clc', [status(thm)], [zip_derived_cl6775, zip_derived_cl85])).
% 130.70/19.30 thf(zip_derived_cl85, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause86])).
% 130.70/19.30 thf(zip_derived_cl6796, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 (~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (duplicatefreeP @ (app @ (cons @ X1 @ X2) @ (cons @ X1 @ X0))))),
% 130.70/19.30 inference('clc', [status(thm)], [zip_derived_cl6795, zip_derived_cl85])).
% 130.70/19.30 thf(zip_derived_cl6797, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 ( (ssItem @ X3)
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ X0))
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ X2))
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl403, zip_derived_cl6796])).
% 130.70/19.30 thf(zip_derived_cl85, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause86])).
% 130.70/19.30 thf(zip_derived_cl6818, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (~ (ssList @ X0)
% 130.70/19.30 | ~ (ssList @ X2)
% 130.70/19.30 | ~ (ssItem @ X1)
% 130.70/19.30 | ~ (ssList @ (cons @ X1 @ X2))
% 130.70/19.30 | (ssItem @ X3))),
% 130.70/19.30 inference('clc', [status(thm)], [zip_derived_cl6797, zip_derived_cl85])).
% 130.70/19.30 thf(zip_derived_cl85, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause86])).
% 130.70/19.30 thf(zip_derived_cl6819, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 ( (ssItem @ X3) | ~ (ssItem @ X1) | ~ (ssList @ X2) | ~ (ssList @ X0))),
% 130.70/19.30 inference('clc', [status(thm)], [zip_derived_cl6818, zip_derived_cl85])).
% 130.70/19.30 thf(zip_derived_cl6820, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 130.70/19.30 ( (ssItem @ X0) | ~ (ssItem @ X1) | ~ (ssList @ X2))),
% 130.70/19.30 inference('condensation', [status(thm)], [zip_derived_cl6819])).
% 130.70/19.30 thf(zip_derived_cl682, plain, ( (ssItem @ (hd @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl680])).
% 130.70/19.30 thf(zip_derived_cl6877, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]: (~ (ssList @ X0) | (ssItem @ X1))),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl6820, zip_derived_cl682])).
% 130.70/19.30 thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 130.70/19.30 thf(zip_derived_cl12, plain, (![X0 : $i]: (ssList @ (skaf82 @ X0))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause13])).
% 130.70/19.30 thf(zip_derived_cl7014, plain, (![X1 : $i]: (ssItem @ X1)),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl6877, zip_derived_cl12])).
% 130.70/19.30 thf(zip_derived_cl7213, plain,
% 130.70/19.30 (![X0 : $i]: (ssList @ (cons @ X0 @ (tl @ sk3)))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl3436, zip_derived_cl7014])).
% 130.70/19.30 thf(zip_derived_cl7014, plain, (![X1 : $i]: (ssItem @ X1)),
% 130.70/19.30 inference('sup+', [status(thm)], [zip_derived_cl6877, zip_derived_cl12])).
% 130.70/19.30 thf(zip_derived_cl145766, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 130.70/19.30 (~ (ssList @ X2)
% 130.70/19.30 | (segmentP @ X2 @ (cons @ X1 @ (tl @ sk3)))
% 130.70/19.30 | ~ (ssList @ X3)
% 130.70/19.30 | ~ (ssList @ X0)
% 130.70/19.30 | ((app @ X3 @ (cons @ X1 @ X0)) != (X2)))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl4801, zip_derived_cl7213, zip_derived_cl7014])).
% 130.70/19.30 thf(zip_derived_cl145785, plain,
% 130.70/19.30 (![X0 : $i]:
% 130.70/19.30 (((sk4) != (X0))
% 130.70/19.30 | ~ (ssList @ (skaf43 @ (hd @ sk3) @ sk4))
% 130.70/19.30 | ~ (ssList @ (skaf42 @ sk4 @ (hd @ sk3)))
% 130.70/19.30 | (segmentP @ X0 @ (cons @ (hd @ sk3) @ (tl @ sk3)))
% 130.70/19.30 | ~ (ssList @ X0))),
% 130.70/19.30 inference('sup-', [status(thm)],
% 130.70/19.30 [zip_derived_cl4143, zip_derived_cl145766])).
% 130.70/19.30 thf(clause52, axiom, (ssList @ ( skaf43 @ U @ V ))).
% 130.70/19.30 thf(zip_derived_cl51, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]: (ssList @ (skaf43 @ X0 @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause52])).
% 130.70/19.30 thf(clause53, axiom, (ssList @ ( skaf42 @ U @ V ))).
% 130.70/19.30 thf(zip_derived_cl52, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]: (ssList @ (skaf42 @ X0 @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause53])).
% 130.70/19.30 thf(zip_derived_cl524, plain, (((cons @ sk5 @ (tl @ sk3)) = (sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl680, plain, (((hd @ sk3) = (sk5))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl676, zip_derived_cl493, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl684, plain, (((cons @ (hd @ sk3) @ (tl @ sk3)) = (sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl524, zip_derived_cl680])).
% 130.70/19.30 thf(zip_derived_cl145841, plain,
% 130.70/19.30 (![X0 : $i]: (((sk4) != (X0)) | (segmentP @ X0 @ sk3) | ~ (ssList @ X0))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl145785, zip_derived_cl51, zip_derived_cl52,
% 130.70/19.30 zip_derived_cl684])).
% 130.70/19.30 thf(zip_derived_cl145868, plain,
% 130.70/19.30 ((~ (ssList @ sk4) | (segmentP @ sk4 @ sk3))),
% 130.70/19.30 inference('eq_res', [status(thm)], [zip_derived_cl145841])).
% 130.70/19.30 thf(zip_derived_cl188, plain, ( (ssList @ sk4)),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_5])).
% 130.70/19.30 thf(clause100, axiom,
% 130.70/19.30 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 130.70/19.30 ( ( V ) = ( U ) ))).
% 130.70/19.30 thf(zip_derived_cl99, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause100])).
% 130.70/19.30 thf(co1_16, conjecture,
% 130.70/19.30 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( segmentP @ sk2 @ sk1 ) ) |
% 130.70/19.30 ( ~( neq @ sk1 @ nil ) ) ))).
% 130.70/19.30 thf(zf_stmt_6, negated_conjecture,
% 130.70/19.30 (( ~( neq @ sk4 @ nil ) ) | ( ~( segmentP @ sk2 @ sk1 ) ) |
% 130.70/19.30 ( ~( neq @ sk1 @ nil ) )),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_16])).
% 130.70/19.30 thf(zip_derived_cl200, plain,
% 130.70/19.30 ((~ (neq @ sk4 @ nil) | ~ (segmentP @ sk2 @ sk1) | ~ (neq @ sk1 @ nil))),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_6])).
% 130.70/19.30 thf(zip_derived_cl203, plain, ( (neq @ sk4 @ nil)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl189])).
% 130.70/19.30 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_2])).
% 130.70/19.30 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 130.70/19.30 thf(zf_stmt_7, negated_conjecture, (( sk1 ) = ( sk3 )),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_6])).
% 130.70/19.30 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_7])).
% 130.70/19.30 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_7])).
% 130.70/19.30 thf(zip_derived_cl209, plain,
% 130.70/19.30 ((~ (segmentP @ sk4 @ sk3) | ~ (neq @ sk3 @ nil))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl200, zip_derived_cl203, zip_derived_cl189,
% 130.70/19.30 zip_derived_cl190, zip_derived_cl190])).
% 130.70/19.30 thf(zip_derived_cl485, plain, (((tl @ sk3) = (nil))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl484, zip_derived_cl7, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl523, plain,
% 130.70/19.30 ((~ (segmentP @ sk4 @ sk3) | ~ (neq @ sk3 @ (tl @ sk3)))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl751, plain,
% 130.70/19.30 ((((sk3) = (tl @ sk3))
% 130.70/19.30 | ~ (ssList @ sk3)
% 130.70/19.30 | ~ (ssList @ (tl @ sk3))
% 130.70/19.30 | ~ (segmentP @ sk4 @ sk3))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl523])).
% 130.70/19.30 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 130.70/19.30 thf(zf_stmt_8, negated_conjecture, (ssList @ sk3),
% 130.70/19.30 inference('cnf.neg', [status(esa)], [co1_3])).
% 130.70/19.30 thf(zip_derived_cl187, plain, ( (ssList @ sk3)),
% 130.70/19.30 inference('cnf', [status(esa)], [zf_stmt_8])).
% 130.70/19.30 thf(zip_derived_cl493, plain, ( (ssList @ (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl820, plain,
% 130.70/19.30 ((((sk3) = (tl @ sk3)) | ~ (segmentP @ sk4 @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl751, zip_derived_cl187, zip_derived_cl493])).
% 130.70/19.30 thf(zip_derived_cl210, plain, (((cons @ sk5 @ nil) = (sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl203])).
% 130.70/19.30 thf(clause98, axiom,
% 130.70/19.30 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 130.70/19.30 ( ~( ssList @ V ) ))).
% 130.70/19.30 thf(zip_derived_cl97, plain,
% 130.70/19.30 (![X0 : $i, X1 : $i]:
% 130.70/19.30 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 130.70/19.30 inference('cnf', [status(esa)], [clause98])).
% 130.70/19.30 thf(zip_derived_cl221, plain,
% 130.70/19.30 ((((sk3) != (nil)) | ~ (ssList @ nil) | ~ (ssItem @ sk5))),
% 130.70/19.30 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl97])).
% 130.70/19.30 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 130.70/19.30 inference('cnf', [status(esa)], [clause8])).
% 130.70/19.30 thf(zip_derived_cl204, plain, ( (ssItem @ sk5)),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl203])).
% 130.70/19.30 thf(zip_derived_cl222, plain, (((sk3) != (nil))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl221, zip_derived_cl7, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl485, plain, (((tl @ sk3) = (nil))),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl484, zip_derived_cl7, zip_derived_cl204])).
% 130.70/19.30 thf(zip_derived_cl526, plain, (((sk3) != (tl @ sk3))),
% 130.70/19.30 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl485])).
% 130.70/19.30 thf(zip_derived_cl821, plain, (~ (segmentP @ sk4 @ sk3)),
% 130.70/19.30 inference('simplify_reflect-', [status(thm)],
% 130.70/19.30 [zip_derived_cl820, zip_derived_cl526])).
% 130.70/19.30 thf(zip_derived_cl145869, plain, ($false),
% 130.70/19.30 inference('demod', [status(thm)],
% 130.70/19.30 [zip_derived_cl145868, zip_derived_cl188, zip_derived_cl821])).
% 130.70/19.30
% 130.70/19.30 % SZS output end Refutation
% 130.70/19.30
% 130.70/19.30
% 130.70/19.30 % Terminating...
% 131.54/19.40 % Runner terminated.
% 131.54/19.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------