TSTP Solution File: SWC316-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC316-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.03fI1JAjyp true
% Computer : n022.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 Aug 31 21:30:42 EDT 2023
% Result : Unsatisfiable 1.55s 0.98s
% Output : Refutation 1.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC316-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.03fI1JAjyp true
% 0.14/0.35 % Computer : n022.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 : Mon Aug 28 16:04:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.55/0.98 % Solved by fo/fo1_av.sh.
% 1.55/0.98 % done 638 iterations in 0.206s
% 1.55/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.55/0.98 % SZS output start Refutation
% 1.55/0.98 thf(nil_type, type, nil: $i).
% 1.55/0.98 thf(cons_type, type, cons: $i > $i > $i).
% 1.55/0.98 thf(sk2_type, type, sk2: $i).
% 1.55/0.98 thf(sk6_type, type, sk6: $i).
% 1.55/0.98 thf(sk4_type, type, sk4: $i).
% 1.55/0.98 thf(tl_type, type, tl: $i > $i).
% 1.55/0.98 thf(hd_type, type, hd: $i > $i).
% 1.55/0.98 thf(ssItem_type, type, ssItem: $i > $o).
% 1.55/0.98 thf(sk5_type, type, sk5: $i).
% 1.55/0.98 thf(sk3_type, type, sk3: $i).
% 1.55/0.98 thf(neq_type, type, neq: $i > $i > $o).
% 1.55/0.98 thf(app_type, type, app: $i > $i > $i).
% 1.55/0.98 thf(ssList_type, type, ssList: $i > $o).
% 1.55/0.98 thf(sk1_type, type, sk1: $i).
% 1.55/0.98 thf(co1_11, conjecture,
% 1.55/0.98 (~( ( neq @ sk2 @ nil ) |
% 1.55/0.98 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk3 ) ) ))).
% 1.55/0.98 thf(zf_stmt_0, negated_conjecture,
% 1.55/0.98 (( neq @ sk2 @ nil ) | ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk3 ) )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_11])).
% 1.55/0.98 thf(zip_derived_cl195, plain,
% 1.55/0.98 (( (neq @ sk2 @ nil) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk3)))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.55/0.98 thf(zip_derived_cl211, plain,
% 1.55/0.98 ((((app @ (cons @ sk5 @ nil) @ sk6) = (sk3)))
% 1.55/0.98 <= ((((app @ (cons @ sk5 @ nil) @ sk6) = (sk3))))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl195])).
% 1.55/0.98 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 1.55/0.98 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_6])).
% 1.55/0.98 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.55/0.98 thf(zip_derived_cl283, plain,
% 1.55/0.98 ((((app @ (cons @ sk5 @ nil) @ sk6) = (sk1)))
% 1.55/0.98 <= ((((app @ (cons @ sk5 @ nil) @ sk6) = (sk3))))),
% 1.55/0.98 inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl190])).
% 1.55/0.98 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 1.55/0.98 thf(zf_stmt_2, negated_conjecture, (neq @ sk2 @ nil),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_7])).
% 1.55/0.98 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.55/0.98 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( neq @ sk2 @ nil ) ))).
% 1.55/0.98 thf(zf_stmt_3, negated_conjecture,
% 1.55/0.98 (( ~( neq @ sk4 @ nil ) ) | ( neq @ sk2 @ nil )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_8])).
% 1.55/0.98 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (neq @ sk2 @ nil))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.55/0.98 thf(zip_derived_cl205, plain,
% 1.55/0.98 ((~ (neq @ sk4 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl192])).
% 1.55/0.98 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 1.55/0.98 thf(zf_stmt_4, negated_conjecture, (( sk2 ) = ( sk4 )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_5])).
% 1.55/0.98 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.55/0.98 thf(zip_derived_cl233, plain,
% 1.55/0.98 ((~ (neq @ sk2 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 1.55/0.98 inference('demod', [status(thm)], [zip_derived_cl205, zip_derived_cl189])).
% 1.55/0.98 thf('0', plain, (( (neq @ sk4 @ nil))),
% 1.55/0.98 inference('s_sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl233])).
% 1.55/0.98 thf(co1_16, conjecture,
% 1.55/0.98 (~( ( ~( neq @ sk4 @ nil ) ) |
% 1.55/0.98 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk3 ) ) ))).
% 1.55/0.98 thf(zf_stmt_5, negated_conjecture,
% 1.55/0.98 (( ~( neq @ sk4 @ nil ) ) |
% 1.55/0.98 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk3 ) )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_16])).
% 1.55/0.98 thf(zip_derived_cl200, plain,
% 1.55/0.98 ((~ (neq @ sk4 @ nil) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk3)))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.55/0.98 thf('1', plain,
% 1.55/0.98 ((((app @ (cons @ sk5 @ nil) @ sk6) = (sk3))) | ~ ( (neq @ sk4 @ nil))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl200])).
% 1.55/0.98 thf('2', plain, ((((app @ (cons @ sk5 @ nil) @ sk6) = (sk3)))),
% 1.55/0.98 inference('sat_resolution*', [status(thm)], ['0', '1'])).
% 1.55/0.98 thf(zip_derived_cl284, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk1))),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl283, '2'])).
% 1.55/0.98 thf(clause120, axiom,
% 1.55/0.98 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 1.55/0.98 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 1.55/0.98 thf(zip_derived_cl119, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 1.55/0.98 inference('cnf', [status(esa)], [clause120])).
% 1.55/0.98 thf(zip_derived_cl1386, plain,
% 1.55/0.98 ((~ (ssItem @ sk5) | ~ (ssList @ sk6) | ((sk1) = (cons @ sk5 @ sk6)))),
% 1.55/0.98 inference('s_sup+', [status(thm)], [zip_derived_cl284, zip_derived_cl119])).
% 1.55/0.98 thf(co1_9, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssItem @ sk5 ) ))).
% 1.55/0.98 thf(zf_stmt_6, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssItem @ sk5 )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_9])).
% 1.55/0.98 thf(zip_derived_cl193, plain, (( (neq @ sk2 @ nil) | (ssItem @ sk5))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.55/0.98 thf(zip_derived_cl207, plain, (( (ssItem @ sk5)) <= (( (ssItem @ sk5)))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl193])).
% 1.55/0.98 thf(co1_14, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 1.55/0.98 thf(zf_stmt_7, negated_conjecture,
% 1.55/0.98 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_14])).
% 1.55/0.98 thf(zip_derived_cl198, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.55/0.98 thf('3', plain, (( (ssItem @ sk5)) | ~ ( (neq @ sk4 @ nil))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl198])).
% 1.55/0.98 thf('4', plain, (( (ssItem @ sk5))),
% 1.55/0.98 inference('sat_resolution*', [status(thm)], ['0', '3'])).
% 1.55/0.98 thf(zip_derived_cl281, plain, ( (ssItem @ sk5)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl207, '4'])).
% 1.55/0.98 thf(co1_10, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssList @ sk6 ) ))).
% 1.55/0.98 thf(zf_stmt_8, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssList @ sk6 )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_10])).
% 1.55/0.98 thf(zip_derived_cl194, plain, (( (neq @ sk2 @ nil) | (ssList @ sk6))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.55/0.98 thf(zip_derived_cl209, plain, (( (ssList @ sk6)) <= (( (ssList @ sk6)))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl194])).
% 1.55/0.98 thf(co1_15, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 ) ))).
% 1.55/0.98 thf(zf_stmt_9, negated_conjecture,
% 1.55/0.98 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_15])).
% 1.55/0.98 thf(zip_derived_cl199, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk6))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.55/0.98 thf('5', plain, (( (ssList @ sk6)) | ~ ( (neq @ sk4 @ nil))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl199])).
% 1.55/0.98 thf('6', plain, (( (ssList @ sk6))),
% 1.55/0.98 inference('sat_resolution*', [status(thm)], ['0', '5'])).
% 1.55/0.98 thf(zip_derived_cl282, plain, ( (ssList @ sk6)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl209, '6'])).
% 1.55/0.98 thf(zip_derived_cl1391, plain, (((sk1) = (cons @ sk5 @ sk6))),
% 1.55/0.98 inference('demod', [status(thm)],
% 1.55/0.98 [zip_derived_cl1386, zip_derived_cl281, zip_derived_cl282])).
% 1.55/0.98 thf(clause97, axiom,
% 1.55/0.98 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 1.55/0.98 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 1.55/0.98 thf(zip_derived_cl96, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i]:
% 1.55/0.98 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 1.55/0.98 inference('cnf', [status(esa)], [clause97])).
% 1.55/0.98 thf(zip_derived_cl1615, plain,
% 1.55/0.98 ((~ (ssItem @ sk5) | ~ (ssList @ sk6) | ((hd @ sk1) = (sk5)))),
% 1.55/0.98 inference('s_sup+', [status(thm)], [zip_derived_cl1391, zip_derived_cl96])).
% 1.55/0.98 thf(zip_derived_cl281, plain, ( (ssItem @ sk5)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl207, '4'])).
% 1.55/0.98 thf(zip_derived_cl282, plain, ( (ssList @ sk6)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl209, '6'])).
% 1.55/0.98 thf(zip_derived_cl1629, plain, (((hd @ sk1) = (sk5))),
% 1.55/0.98 inference('demod', [status(thm)],
% 1.55/0.98 [zip_derived_cl1615, zip_derived_cl281, zip_derived_cl282])).
% 1.55/0.98 thf(co1_12, conjecture,
% 1.55/0.98 (~( ( neq @ sk2 @ nil ) |
% 1.55/0.98 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk4 ) ) ))).
% 1.55/0.98 thf(zf_stmt_10, negated_conjecture,
% 1.55/0.98 (( neq @ sk2 @ nil ) | ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk4 ) )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_12])).
% 1.55/0.98 thf(zip_derived_cl196, plain,
% 1.55/0.98 (( (neq @ sk2 @ nil) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4)))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.55/0.98 thf(zip_derived_cl213, plain,
% 1.55/0.98 ((((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4)))
% 1.55/0.98 <= ((((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4))))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl196])).
% 1.55/0.98 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.55/0.98 thf(zip_derived_cl231, plain,
% 1.55/0.98 ((((app @ sk6 @ (cons @ sk5 @ nil)) = (sk2)))
% 1.55/0.98 <= ((((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4))))),
% 1.55/0.98 inference('demod', [status(thm)], [zip_derived_cl213, zip_derived_cl189])).
% 1.55/0.98 thf(co1_13, conjecture,
% 1.55/0.98 (~( ( ~( neq @ nil @ sk1 ) ) | ( ~( ssItem @ D ) ) | ( neq @ sk2 @ nil ) |
% 1.55/0.98 ( ~( ssList @ A ) ) | ( ~( ssList @ C ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 1.55/0.98 ( ( cons @ D @ nil ) != ( C ) ) | ( ( sk2 ) != ( A ) ) |
% 1.55/0.98 ( ( app @ B @ C ) != ( A ) ) | ( ~( ssList @ B ) ) |
% 1.55/0.98 ( ( hd @ sk1 ) != ( D ) ) | ( ( tl @ sk1 ) != ( B ) ) ))).
% 1.55/0.98 thf(zf_stmt_11, negated_conjecture,
% 1.55/0.98 (( ~( neq @ nil @ sk1 ) ) | ( ~( ssItem @ D ) ) | ( neq @ sk2 @ nil ) |
% 1.55/0.98 ( ~( ssList @ A ) ) | ( ~( ssList @ C ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 1.55/0.98 ( ( cons @ D @ nil ) != ( C ) ) | ( ( sk2 ) != ( A ) ) |
% 1.55/0.98 ( ( app @ B @ C ) != ( A ) ) | ( ~( ssList @ B ) ) |
% 1.55/0.98 ( ( hd @ sk1 ) != ( D ) ) | ( ( tl @ sk1 ) != ( B ) )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_13])).
% 1.55/0.98 thf(zip_derived_cl197, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (neq @ nil @ sk1)
% 1.55/0.98 | ~ (ssItem @ X0)
% 1.55/0.98 | (neq @ sk2 @ nil)
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (neq @ sk1 @ nil)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3)))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.55/0.98 thf(zip_derived_cl215, plain,
% 1.55/0.98 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3))))
% 1.55/0.98 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3)))))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl197])).
% 1.55/0.98 thf(zip_derived_cl241, plain,
% 1.55/0.98 ((![X0 : $i, X1 : $i, X2 : $i]:
% 1.55/0.98 (((tl @ sk1) != (X0))
% 1.55/0.98 | ((hd @ sk1) != (X1))
% 1.55/0.98 | ((app @ X0 @ (cons @ X1 @ nil)) != (X2))
% 1.55/0.98 | ((sk2) != (X2))
% 1.55/0.98 | ~ (ssList @ X0)
% 1.55/0.98 | ~ (ssList @ (cons @ X1 @ nil))
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssItem @ X1)))
% 1.55/0.98 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3)))))),
% 1.55/0.98 inference('eq_res', [status(thm)], [zip_derived_cl215])).
% 1.55/0.98 thf(zip_derived_cl243, plain,
% 1.55/0.98 ((![X0 : $i, X1 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ~ (ssList @ (app @ X1 @ (cons @ X0 @ nil)))
% 1.55/0.98 | ~ (ssList @ (cons @ X0 @ nil))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ((sk2) != (app @ X1 @ (cons @ X0 @ nil)))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X1))))
% 1.55/0.98 <= ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3)))))),
% 1.55/0.98 inference('eq_res', [status(thm)], [zip_derived_cl241])).
% 1.55/0.98 thf(zip_derived_cl245, plain,
% 1.55/0.98 (((~ (ssItem @ sk5)
% 1.55/0.98 | ~ (ssList @ sk2)
% 1.55/0.98 | ~ (ssList @ (cons @ sk5 @ nil))
% 1.55/0.98 | ~ (ssList @ sk6)
% 1.55/0.98 | ((sk2) != (sk2))
% 1.55/0.98 | ((hd @ sk1) != (sk5))
% 1.55/0.98 | ((tl @ sk1) != (sk6))))
% 1.55/0.98 <= ((((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4))) &
% 1.55/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3)))))),
% 1.55/0.98 inference('s_sup-', [status(thm)], [zip_derived_cl231, zip_derived_cl243])).
% 1.55/0.98 thf(zip_derived_cl246, plain,
% 1.55/0.98 (((((tl @ sk1) != (sk6))
% 1.55/0.98 | ((hd @ sk1) != (sk5))
% 1.55/0.98 | ~ (ssList @ sk6)
% 1.55/0.98 | ~ (ssList @ (cons @ sk5 @ nil))
% 1.55/0.98 | ~ (ssList @ sk2)
% 1.55/0.98 | ~ (ssItem @ sk5)))
% 1.55/0.98 <= ((((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4))) &
% 1.55/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3)))))),
% 1.55/0.98 inference('simplify', [status(thm)], [zip_derived_cl245])).
% 1.55/0.98 thf(zip_derived_cl249, plain,
% 1.55/0.98 ((((hd @ sk1) != (sk5))) <= (~ (((hd @ sk1) = (sk5))))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl246])).
% 1.55/0.98 thf(zip_derived_cl247, plain,
% 1.55/0.98 ((~ (ssList @ (cons @ sk5 @ nil)))
% 1.55/0.98 <= (~ ( (ssList @ (cons @ sk5 @ nil))))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl246])).
% 1.55/0.98 thf(clause86, axiom,
% 1.55/0.98 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 1.55/0.98 thf(zip_derived_cl85, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i]:
% 1.55/0.98 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.55/0.98 inference('cnf', [status(esa)], [clause86])).
% 1.55/0.98 thf(zip_derived_cl858, plain,
% 1.55/0.98 (((~ (ssItem @ sk5) | ~ (ssList @ nil)))
% 1.55/0.98 <= (~ ( (ssList @ (cons @ sk5 @ nil))))),
% 1.55/0.98 inference('s_sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl85])).
% 1.55/0.98 thf(zip_derived_cl281, plain, ( (ssItem @ sk5)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl207, '4'])).
% 1.55/0.98 thf(clause8, axiom, (ssList @ nil)).
% 1.55/0.98 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.55/0.98 inference('cnf', [status(esa)], [clause8])).
% 1.55/0.98 thf('7', plain, (( (ssList @ (cons @ sk5 @ nil)))),
% 1.55/0.98 inference('demod', [status(thm)],
% 1.55/0.98 [zip_derived_cl858, zip_derived_cl281, zip_derived_cl7])).
% 1.55/0.98 thf(zip_derived_cl217, plain,
% 1.55/0.98 ((~ (neq @ nil @ sk1)) <= (~ ( (neq @ nil @ sk1)))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl197])).
% 1.55/0.98 thf(clause100, axiom,
% 1.55/0.98 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 1.55/0.98 ( ( V ) = ( U ) ))).
% 1.55/0.98 thf(zip_derived_cl99, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i]:
% 1.55/0.98 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 1.55/0.98 inference('cnf', [status(esa)], [clause100])).
% 1.55/0.98 thf(zip_derived_cl983, plain,
% 1.55/0.98 (((~ (ssList @ sk1) | ~ (ssList @ nil) | ((nil) = (sk1))))
% 1.55/0.98 <= (~ ( (neq @ nil @ sk1)))),
% 1.55/0.98 inference('s_sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl99])).
% 1.55/0.98 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 1.55/0.98 thf(zf_stmt_12, negated_conjecture, (ssList @ sk1),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_1])).
% 1.55/0.98 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.55/0.98 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.55/0.98 inference('cnf', [status(esa)], [clause8])).
% 1.55/0.98 thf(zip_derived_cl986, plain,
% 1.55/0.98 ((((nil) = (sk1))) <= (~ ( (neq @ nil @ sk1)))),
% 1.55/0.98 inference('demod', [status(thm)],
% 1.55/0.98 [zip_derived_cl983, zip_derived_cl185, zip_derived_cl7])).
% 1.55/0.98 thf(zip_derived_cl284, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (sk1))),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl283, '2'])).
% 1.55/0.98 thf(clause118, axiom,
% 1.55/0.98 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 1.55/0.98 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 1.55/0.98 thf(zip_derived_cl117, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i]:
% 1.55/0.98 (((app @ X0 @ X1) != (nil))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X0)
% 1.55/0.98 | ((nil) = (X0)))),
% 1.55/0.98 inference('cnf', [status(esa)], [clause118])).
% 1.55/0.98 thf(zip_derived_cl337, plain,
% 1.55/0.98 ((((sk1) != (nil))
% 1.55/0.98 | ~ (ssList @ sk6)
% 1.55/0.98 | ~ (ssList @ (cons @ sk5 @ nil))
% 1.55/0.98 | ((nil) = (cons @ sk5 @ nil)))),
% 1.55/0.98 inference('s_sup-', [status(thm)], [zip_derived_cl284, zip_derived_cl117])).
% 1.55/0.98 thf(zip_derived_cl282, plain, ( (ssList @ sk6)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl209, '6'])).
% 1.55/0.98 thf(zip_derived_cl343, plain,
% 1.55/0.98 ((((sk1) != (nil))
% 1.55/0.98 | ~ (ssList @ (cons @ sk5 @ nil))
% 1.55/0.98 | ((nil) = (cons @ sk5 @ nil)))),
% 1.55/0.98 inference('demod', [status(thm)], [zip_derived_cl337, zip_derived_cl282])).
% 1.55/0.98 thf(zip_derived_cl361, plain, ((((sk1) != (nil))) <= (~ (((sk1) = (nil))))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl343])).
% 1.55/0.98 thf(zip_derived_cl362, plain,
% 1.55/0.98 ((((nil) = (cons @ sk5 @ nil))) <= ((((nil) = (cons @ sk5 @ nil))))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl343])).
% 1.55/0.98 thf(clause98, axiom,
% 1.55/0.98 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 1.55/0.98 ( ~( ssList @ V ) ))).
% 1.55/0.98 thf(zip_derived_cl97, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i]:
% 1.55/0.98 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 1.55/0.98 inference('cnf', [status(esa)], [clause98])).
% 1.55/0.98 thf(zip_derived_cl363, plain,
% 1.55/0.98 (((((nil) != (nil)) | ~ (ssItem @ sk5) | ~ (ssList @ nil)))
% 1.55/0.98 <= ((((nil) = (cons @ sk5 @ nil))))),
% 1.55/0.98 inference('s_sup-', [status(thm)], [zip_derived_cl362, zip_derived_cl97])).
% 1.55/0.98 thf(zip_derived_cl281, plain, ( (ssItem @ sk5)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl207, '4'])).
% 1.55/0.98 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.55/0.98 inference('cnf', [status(esa)], [clause8])).
% 1.55/0.98 thf(zip_derived_cl376, plain,
% 1.55/0.98 ((((nil) != (nil))) <= ((((nil) = (cons @ sk5 @ nil))))),
% 1.55/0.98 inference('demod', [status(thm)],
% 1.55/0.98 [zip_derived_cl363, zip_derived_cl281, zip_derived_cl7])).
% 1.55/0.98 thf('8', plain, (~ (((nil) = (cons @ sk5 @ nil)))),
% 1.55/0.98 inference('simplify', [status(thm)], [zip_derived_cl376])).
% 1.55/0.98 thf('9', plain,
% 1.55/0.98 (~ (((sk1) = (nil))) | ~ ( (ssList @ (cons @ sk5 @ nil))) |
% 1.55/0.98 (((nil) = (cons @ sk5 @ nil)))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl343])).
% 1.55/0.98 thf('10', plain, (~ (((sk1) = (nil)))),
% 1.55/0.98 inference('sat_resolution*', [status(thm)], ['8', '7', '9'])).
% 1.55/0.98 thf(zip_derived_cl871, plain, (((sk1) != (nil))),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl361, '10'])).
% 1.55/0.98 thf('11', plain, (( (neq @ nil @ sk1))),
% 1.55/0.98 inference('simplify_reflect-', [status(thm)],
% 1.55/0.98 [zip_derived_cl986, zip_derived_cl871])).
% 1.55/0.98 thf(zip_derived_cl216, plain,
% 1.55/0.98 ((~ (neq @ sk1 @ nil)) <= (~ ( (neq @ sk1 @ nil)))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl197])).
% 1.55/0.98 thf(zip_derived_cl99, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i]:
% 1.55/0.98 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 1.55/0.98 inference('cnf', [status(esa)], [clause100])).
% 1.55/0.98 thf(zip_derived_cl984, plain,
% 1.55/0.98 (((~ (ssList @ nil) | ~ (ssList @ sk1) | ((sk1) = (nil))))
% 1.55/0.98 <= (~ ( (neq @ sk1 @ nil)))),
% 1.55/0.98 inference('s_sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl99])).
% 1.55/0.98 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.55/0.98 inference('cnf', [status(esa)], [clause8])).
% 1.55/0.98 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.55/0.98 thf(zip_derived_cl988, plain,
% 1.55/0.98 ((((sk1) = (nil))) <= (~ ( (neq @ sk1 @ nil)))),
% 1.55/0.98 inference('demod', [status(thm)],
% 1.55/0.98 [zip_derived_cl984, zip_derived_cl7, zip_derived_cl185])).
% 1.55/0.98 thf(zip_derived_cl871, plain, (((sk1) != (nil))),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl361, '10'])).
% 1.55/0.98 thf('12', plain, (( (neq @ sk1 @ nil))),
% 1.55/0.98 inference('simplify_reflect-', [status(thm)],
% 1.55/0.98 [zip_derived_cl988, zip_derived_cl871])).
% 1.55/0.98 thf(co1_18, conjecture,
% 1.55/0.98 (~( ( ~( neq @ nil @ sk1 ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ D ) ) |
% 1.55/0.98 ( ( app @ B @ C ) != ( A ) ) | ( ~( ssList @ C ) ) |
% 1.55/0.98 ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 1.55/0.98 ( ~( ssList @ A ) ) | ( ( hd @ sk1 ) != ( D ) ) |
% 1.55/0.98 ( ( tl @ sk1 ) != ( B ) ) | ( ( sk2 ) != ( A ) ) |
% 1.55/0.98 ( ( cons @ D @ nil ) != ( C ) ) ))).
% 1.55/0.98 thf(zf_stmt_13, negated_conjecture,
% 1.55/0.98 (( ~( neq @ nil @ sk1 ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ D ) ) |
% 1.55/0.98 ( ( app @ B @ C ) != ( A ) ) | ( ~( ssList @ C ) ) |
% 1.55/0.98 ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ sk1 @ nil ) ) |
% 1.55/0.98 ( ~( ssList @ A ) ) | ( ( hd @ sk1 ) != ( D ) ) |
% 1.55/0.98 ( ( tl @ sk1 ) != ( B ) ) | ( ( sk2 ) != ( A ) ) |
% 1.55/0.98 ( ( cons @ D @ nil ) != ( C ) )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_18])).
% 1.55/0.98 thf(zip_derived_cl202, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (neq @ nil @ sk1)
% 1.55/0.98 | ~ (ssList @ X0)
% 1.55/0.98 | ~ (ssItem @ X1)
% 1.55/0.98 | ((app @ X0 @ X3) != (X2))
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ~ (neq @ sk4 @ nil)
% 1.55/0.98 | ~ (neq @ sk1 @ nil)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ((hd @ sk1) != (X1))
% 1.55/0.98 | ((tl @ sk1) != (X0))
% 1.55/0.98 | ((sk2) != (X2))
% 1.55/0.98 | ((cons @ X1 @ nil) != (X3)))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.55/0.98 thf('13', plain,
% 1.55/0.98 ((![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3)))) |
% 1.55/0.98 ~ ( (neq @ sk1 @ nil)) | ~ ( (neq @ nil @ sk1)) | ~ ( (neq @ sk4 @ nil))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl202])).
% 1.55/0.98 thf(co1_17, conjecture,
% 1.55/0.98 (~( ( ~( neq @ sk4 @ nil ) ) |
% 1.55/0.98 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk4 ) ) ))).
% 1.55/0.98 thf(zf_stmt_14, negated_conjecture,
% 1.55/0.98 (( ~( neq @ sk4 @ nil ) ) |
% 1.55/0.98 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk4 ) )),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_17])).
% 1.55/0.98 thf(zip_derived_cl201, plain,
% 1.55/0.98 ((~ (neq @ sk4 @ nil) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4)))),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.55/0.98 thf('14', plain,
% 1.55/0.98 ((((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4))) | ~ ( (neq @ sk4 @ nil))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl201])).
% 1.55/0.98 thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 1.55/0.98 thf(zf_stmt_15, negated_conjecture, (ssList @ sk2),
% 1.55/0.98 inference('cnf.neg', [status(esa)], [co1_2])).
% 1.55/0.98 thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 1.55/0.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.55/0.98 thf(zip_derived_cl252, plain, ((~ (ssList @ sk2)) <= (~ ( (ssList @ sk2)))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl246])).
% 1.55/0.98 thf('15', plain, (( (ssList @ sk2))),
% 1.55/0.98 inference('s_sup-', [status(thm)], [zip_derived_cl186, zip_derived_cl252])).
% 1.55/0.98 thf(zip_derived_cl1391, plain, (((sk1) = (cons @ sk5 @ sk6))),
% 1.55/0.98 inference('demod', [status(thm)],
% 1.55/0.98 [zip_derived_cl1386, zip_derived_cl281, zip_derived_cl282])).
% 1.55/0.98 thf(clause96, axiom,
% 1.55/0.98 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 1.55/0.98 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 1.55/0.98 thf(zip_derived_cl95, plain,
% 1.55/0.98 (![X0 : $i, X1 : $i]:
% 1.55/0.98 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 1.55/0.98 inference('cnf', [status(esa)], [clause96])).
% 1.55/0.98 thf(zip_derived_cl1614, plain,
% 1.55/0.98 ((~ (ssItem @ sk5) | ~ (ssList @ sk6) | ((tl @ sk1) = (sk6)))),
% 1.55/0.98 inference('s_sup+', [status(thm)], [zip_derived_cl1391, zip_derived_cl95])).
% 1.55/0.98 thf(zip_derived_cl281, plain, ( (ssItem @ sk5)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl207, '4'])).
% 1.55/0.98 thf(zip_derived_cl282, plain, ( (ssList @ sk6)),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl209, '6'])).
% 1.55/0.98 thf(zip_derived_cl1628, plain, (((tl @ sk1) = (sk6))),
% 1.55/0.98 inference('demod', [status(thm)],
% 1.55/0.98 [zip_derived_cl1614, zip_derived_cl281, zip_derived_cl282])).
% 1.55/0.98 thf(zip_derived_cl248, plain,
% 1.55/0.98 ((((tl @ sk1) != (sk6))) <= (~ (((tl @ sk1) = (sk6))))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl246])).
% 1.55/0.98 thf(zip_derived_cl1759, plain,
% 1.55/0.98 ((((sk6) != (sk6))) <= (~ (((tl @ sk1) = (sk6))))),
% 1.55/0.98 inference('s_sup-', [status(thm)],
% 1.55/0.98 [zip_derived_cl1628, zip_derived_cl248])).
% 1.55/0.98 thf('16', plain, ((((tl @ sk1) = (sk6)))),
% 1.55/0.98 inference('simplify', [status(thm)], [zip_derived_cl1759])).
% 1.55/0.98 thf('17', plain,
% 1.55/0.98 (~ (((hd @ sk1) = (sk5))) | ~ (((tl @ sk1) = (sk6))) |
% 1.55/0.98 ~ ( (ssList @ sk2)) | ~ ( (ssItem @ sk5)) |
% 1.55/0.98 ~ (((app @ sk6 @ (cons @ sk5 @ nil)) = (sk4))) |
% 1.55/0.98 ~
% 1.55/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.55/0.98 (~ (ssItem @ X0)
% 1.55/0.98 | ((cons @ X0 @ nil) != (X2))
% 1.55/0.98 | ~ (ssList @ X1)
% 1.55/0.98 | ~ (ssList @ X2)
% 1.55/0.98 | ~ (ssList @ X3)
% 1.55/0.98 | ((sk2) != (X1))
% 1.55/0.98 | ((app @ X3 @ X2) != (X1))
% 1.55/0.98 | ((hd @ sk1) != (X0))
% 1.55/0.98 | ((tl @ sk1) != (X3)))) |
% 1.55/0.98 ~ ( (ssList @ sk6)) | ~ ( (ssList @ (cons @ sk5 @ nil)))),
% 1.55/0.98 inference('split', [status(esa)], [zip_derived_cl246])).
% 1.55/0.98 thf('18', plain, (~ (((hd @ sk1) = (sk5)))),
% 1.55/0.98 inference('sat_resolution*', [status(thm)],
% 1.55/0.98 ['7', '5', '11', '12', '13', '14', '0', '3', '15', '16', '17'])).
% 1.55/0.98 thf(zip_derived_cl1782, plain, (((hd @ sk1) != (sk5))),
% 1.55/0.98 inference('simpl_trail', [status(thm)], [zip_derived_cl249, '18'])).
% 1.55/0.98 thf(zip_derived_cl1809, plain, ($false),
% 1.55/0.98 inference('simplify_reflect-', [status(thm)],
% 1.55/0.98 [zip_derived_cl1629, zip_derived_cl1782])).
% 1.55/0.98
% 1.55/0.98 % SZS output end Refutation
% 1.55/0.98
% 1.55/0.98
% 1.55/0.98 % Terminating...
% 2.14/1.05 % Runner terminated.
% 2.14/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------