TSTP Solution File: SWC310-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC310-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SU3TWjoH68 true
% Computer : n025.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 21:30:39 EDT 2023
% Result : Unsatisfiable 0.60s 0.99s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC310-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SU3TWjoH68 true
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 14:52:24 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.70 % Total configuration time : 435
% 0.23/0.70 % Estimated wc time : 1092
% 0.23/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.99 % Solved by fo/fo7.sh.
% 0.60/0.99 % done 331 iterations in 0.186s
% 0.60/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.99 % SZS output start Refutation
% 0.60/0.99 thf(nil_type, type, nil: $i).
% 0.60/0.99 thf(cons_type, type, cons: $i > $i > $i).
% 0.60/0.99 thf(sk2_type, type, sk2: $i).
% 0.60/0.99 thf(sk6_type, type, sk6: $i).
% 0.60/0.99 thf(sk4_type, type, sk4: $i).
% 0.60/0.99 thf(tl_type, type, tl: $i > $i).
% 0.60/0.99 thf(hd_type, type, hd: $i > $i).
% 0.60/0.99 thf(ssItem_type, type, ssItem: $i > $o).
% 0.60/0.99 thf(sk5_type, type, sk5: $i).
% 0.60/0.99 thf(sk3_type, type, sk3: $i).
% 0.60/0.99 thf(neq_type, type, neq: $i > $i > $o).
% 0.60/0.99 thf(app_type, type, app: $i > $i > $i).
% 0.60/0.99 thf(ssList_type, type, ssList: $i > $o).
% 0.60/0.99 thf(sk1_type, type, sk1: $i).
% 0.60/0.99 thf(co1_14, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 0.60/0.99 thf(zf_stmt_0, negated_conjecture,
% 0.60/0.99 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.60/0.99 thf(zip_derived_cl60, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.60/0.99 thf(co1_12, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) = ( sk2 ) ) ))).
% 0.60/0.99 thf(zf_stmt_1, negated_conjecture,
% 0.60/0.99 (( neq @ sk2 @ nil ) | ( ( nil ) = ( sk2 ) )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.60/0.99 thf(zip_derived_cl62, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.99 thf(co1_10, conjecture,
% 0.60/0.99 (~( ( ~( neq @ sk4 @ nil ) ) |
% 0.60/0.99 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk4 ) ) ))).
% 0.60/0.99 thf(zf_stmt_2, negated_conjecture,
% 0.60/0.99 (( ~( neq @ sk4 @ nil ) ) |
% 0.60/0.99 ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk4 ) )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.60/0.99 thf(zip_derived_cl64, plain,
% 0.60/0.99 ((~ (neq @ sk4 @ nil) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk4)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.60/0.99 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.60/0.99 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.60/0.99 thf(zip_derived_cl69, plain, (((sk2) = (sk4))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.99 thf(zip_derived_cl69, plain, (((sk2) = (sk4))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.99 thf(zip_derived_cl140, plain,
% 0.60/0.99 ((~ (neq @ sk2 @ nil) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk2)))),
% 0.60/0.99 inference('demod', [status(thm)],
% 0.60/0.99 [zip_derived_cl64, zip_derived_cl69, zip_derived_cl69])).
% 0.60/0.99 thf(zip_derived_cl141, plain,
% 0.60/0.99 ((((nil) = (sk2)) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk2)))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl140])).
% 0.60/0.99 thf(clause120, axiom,
% 0.60/0.99 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 0.60/0.99 ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 0.60/0.99 thf(zip_derived_cl33, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (~ (ssItem @ X0)
% 0.60/0.99 | ~ (ssList @ X1)
% 0.60/0.99 | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause120])).
% 0.60/0.99 thf(zip_derived_cl1392, plain,
% 0.60/0.99 ((((sk2) = (cons @ sk5 @ sk6))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ sk6)
% 0.60/0.99 | ~ (ssItem @ sk5))),
% 0.60/0.99 inference('sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl33])).
% 0.60/0.99 thf(zip_derived_cl62, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.99 thf(co1_9, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 ) ))).
% 0.60/0.99 thf(zf_stmt_4, negated_conjecture,
% 0.60/0.99 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.60/0.99 thf(zip_derived_cl65, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk6))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.60/0.99 thf(zip_derived_cl69, plain, (((sk2) = (sk4))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.99 thf(zip_derived_cl77, plain, ((~ (neq @ sk2 @ nil) | (ssList @ sk6))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl69])).
% 0.60/0.99 thf(zip_derived_cl82, plain, ((((nil) = (sk2)) | (ssList @ sk6))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl77])).
% 0.60/0.99 thf(zip_derived_cl1407, plain,
% 0.60/0.99 ((~ (ssItem @ sk5) | ((nil) = (sk2)) | ((sk2) = (cons @ sk5 @ sk6)))),
% 0.60/0.99 inference('clc', [status(thm)], [zip_derived_cl1392, zip_derived_cl82])).
% 0.60/0.99 thf(zip_derived_cl62, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.99 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 0.60/0.99 thf(zf_stmt_5, negated_conjecture,
% 0.60/0.99 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.60/0.99 thf(zip_derived_cl66, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.60/0.99 thf(zip_derived_cl69, plain, (((sk2) = (sk4))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.99 thf(zip_derived_cl78, plain, ((~ (neq @ sk2 @ nil) | (ssItem @ sk5))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl69])).
% 0.60/0.99 thf(zip_derived_cl83, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl78])).
% 0.60/0.99 thf(zip_derived_cl1408, plain,
% 0.60/0.99 ((((sk2) = (cons @ sk5 @ sk6)) | ((nil) = (sk2)))),
% 0.60/0.99 inference('clc', [status(thm)], [zip_derived_cl1407, zip_derived_cl83])).
% 0.60/0.99 thf(clause97, axiom,
% 0.60/0.99 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 0.60/0.99 ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 0.60/0.99 thf(zip_derived_cl18, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause97])).
% 0.60/0.99 thf(zip_derived_cl1411, plain,
% 0.60/0.99 ((((hd @ sk2) = (sk5))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ sk6)
% 0.60/0.99 | ~ (ssItem @ sk5))),
% 0.60/0.99 inference('sup+', [status(thm)], [zip_derived_cl1408, zip_derived_cl18])).
% 0.60/0.99 thf(zip_derived_cl82, plain, ((((nil) = (sk2)) | (ssList @ sk6))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl77])).
% 0.60/0.99 thf(zip_derived_cl1693, plain,
% 0.60/0.99 ((~ (ssItem @ sk5) | ((nil) = (sk2)) | ((hd @ sk2) = (sk5)))),
% 0.60/0.99 inference('clc', [status(thm)], [zip_derived_cl1411, zip_derived_cl82])).
% 0.60/0.99 thf(zip_derived_cl83, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl78])).
% 0.60/0.99 thf(zip_derived_cl1694, plain, ((((hd @ sk2) = (sk5)) | ((nil) = (sk2)))),
% 0.60/0.99 inference('clc', [status(thm)], [zip_derived_cl1693, zip_derived_cl83])).
% 0.60/0.99 thf(clause76, axiom,
% 0.60/0.99 (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.60/0.99 thf(zip_derived_cl10, plain,
% 0.60/0.99 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause76])).
% 0.60/0.99 thf(clause86, axiom,
% 0.60/0.99 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 0.60/0.99 thf(zip_derived_cl14, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause86])).
% 0.60/0.99 thf(zip_derived_cl1408, plain,
% 0.60/0.99 ((((sk2) = (cons @ sk5 @ sk6)) | ((nil) = (sk2)))),
% 0.60/0.99 inference('clc', [status(thm)], [zip_derived_cl1407, zip_derived_cl83])).
% 0.60/0.99 thf(clause96, axiom,
% 0.60/0.99 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) |
% 0.60/0.99 ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 0.60/0.99 thf(zip_derived_cl17, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause96])).
% 0.60/0.99 thf(zip_derived_cl1410, plain,
% 0.60/0.99 ((((tl @ sk2) = (sk6))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ sk6)
% 0.60/0.99 | ~ (ssItem @ sk5))),
% 0.60/0.99 inference('sup+', [status(thm)], [zip_derived_cl1408, zip_derived_cl17])).
% 0.60/0.99 thf(zip_derived_cl82, plain, ((((nil) = (sk2)) | (ssList @ sk6))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl77])).
% 0.60/0.99 thf(zip_derived_cl1433, plain,
% 0.60/0.99 ((~ (ssItem @ sk5) | ((nil) = (sk2)) | ((tl @ sk2) = (sk6)))),
% 0.60/0.99 inference('clc', [status(thm)], [zip_derived_cl1410, zip_derived_cl82])).
% 0.60/0.99 thf(zip_derived_cl83, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl78])).
% 0.60/0.99 thf(zip_derived_cl1434, plain, ((((tl @ sk2) = (sk6)) | ((nil) = (sk2)))),
% 0.60/0.99 inference('clc', [status(thm)], [zip_derived_cl1433, zip_derived_cl83])).
% 0.60/0.99 thf(zip_derived_cl62, plain, (( (neq @ sk2 @ nil) | ((nil) = (sk2)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.60/0.99 thf(co1_11, conjecture,
% 0.60/0.99 (~( ( ~( neq @ sk4 @ nil ) ) |
% 0.60/0.99 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk3 ) ) ))).
% 0.60/0.99 thf(zf_stmt_6, negated_conjecture,
% 0.60/0.99 (( ~( neq @ sk4 @ nil ) ) |
% 0.60/0.99 ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) = ( sk3 ) )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.60/0.99 thf(zip_derived_cl63, plain,
% 0.60/0.99 ((~ (neq @ sk4 @ nil) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk3)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.60/0.99 thf(zip_derived_cl69, plain, (((sk2) = (sk4))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.99 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.60/0.99 thf(zf_stmt_7, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.60/0.99 thf(zip_derived_cl68, plain, (((sk1) = (sk3))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.60/0.99 thf(zip_derived_cl132, plain,
% 0.60/0.99 ((~ (neq @ sk2 @ nil) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1)))),
% 0.60/0.99 inference('demod', [status(thm)],
% 0.60/0.99 [zip_derived_cl63, zip_derived_cl69, zip_derived_cl68])).
% 0.60/0.99 thf(zip_derived_cl133, plain,
% 0.60/0.99 ((((nil) = (sk2)) | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1)))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl132])).
% 0.60/0.99 thf(zip_derived_cl1436, plain,
% 0.60/0.99 ((((app @ (tl @ sk2) @ (cons @ sk5 @ nil)) = (sk1))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('sup+', [status(thm)], [zip_derived_cl1434, zip_derived_cl133])).
% 0.60/0.99 thf(zip_derived_cl1452, plain,
% 0.60/0.99 ((((nil) = (sk2)) | ((app @ (tl @ sk2) @ (cons @ sk5 @ nil)) = (sk1)))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1436])).
% 0.60/0.99 thf(zip_derived_cl10, plain,
% 0.60/0.99 (![X0 : $i]: (~ (ssList @ X0) | (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause76])).
% 0.60/0.99 thf(clause75, axiom,
% 0.60/0.99 (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.60/0.99 thf(zip_derived_cl9, plain,
% 0.60/0.99 (![X0 : $i]: (~ (ssList @ X0) | (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause75])).
% 0.60/0.99 thf(clause100, axiom,
% 0.60/0.99 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 0.60/0.99 ( ( V ) = ( U ) ))).
% 0.60/0.99 thf(zip_derived_cl21, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause100])).
% 0.60/0.99 thf(co1_13, conjecture,
% 0.60/0.99 (~( ( ~( ssItem @ D ) ) | ( ~( ssList @ A ) ) |
% 0.60/0.99 ( ( hd @ sk2 ) != ( D ) ) | ( ( nil ) = ( sk2 ) ) |
% 0.60/0.99 ( ~( ssList @ C ) ) | ( ( cons @ D @ nil ) != ( C ) ) |
% 0.60/0.99 ( ~( neq @ nil @ sk2 ) ) | ( ( app @ B @ C ) != ( A ) ) |
% 0.60/0.99 ( ~( ssList @ B ) ) | ( ( tl @ sk2 ) != ( B ) ) | ( ( sk1 ) != ( A ) ) ))).
% 0.60/0.99 thf(zf_stmt_8, negated_conjecture,
% 0.60/0.99 (( ~( ssItem @ D ) ) | ( ~( ssList @ A ) ) | ( ( hd @ sk2 ) != ( D ) ) |
% 0.60/0.99 ( ( nil ) = ( sk2 ) ) | ( ~( ssList @ C ) ) |
% 0.60/0.99 ( ( cons @ D @ nil ) != ( C ) ) | ( ~( neq @ nil @ sk2 ) ) |
% 0.60/0.99 ( ( app @ B @ C ) != ( A ) ) | ( ~( ssList @ B ) ) |
% 0.60/0.99 ( ( tl @ sk2 ) != ( B ) ) | ( ( sk1 ) != ( A ) )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.60/0.99 thf(zip_derived_cl61, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.99 (~ (ssItem @ X0)
% 0.60/0.99 | ~ (ssList @ X1)
% 0.60/0.99 | ((hd @ sk2) != (X0))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ X2)
% 0.60/0.99 | ((cons @ X0 @ nil) != (X2))
% 0.60/0.99 | ~ (neq @ nil @ sk2)
% 0.60/0.99 | ((app @ X3 @ X2) != (X1))
% 0.60/0.99 | ~ (ssList @ X3)
% 0.60/0.99 | ((tl @ sk2) != (X3))
% 0.60/0.99 | ((sk1) != (X1)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.60/0.99 thf(zip_derived_cl1338, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ nil)
% 0.60/0.99 | ~ (ssList @ sk2)
% 0.60/0.99 | ((sk1) != (X0))
% 0.60/0.99 | ((tl @ sk2) != (X1))
% 0.60/0.99 | ~ (ssList @ X1)
% 0.60/0.99 | ((app @ X1 @ X2) != (X0))
% 0.60/0.99 | ((cons @ X3 @ nil) != (X2))
% 0.60/0.99 | ~ (ssList @ X2)
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((hd @ sk2) != (X3))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ~ (ssItem @ X3))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl61])).
% 0.60/0.99 thf(clause8, axiom, (ssList @ nil)).
% 0.60/0.99 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.60/0.99 inference('cnf', [status(esa)], [clause8])).
% 0.60/0.99 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.60/0.99 thf(zf_stmt_9, negated_conjecture, (ssList @ sk4),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_4])).
% 0.60/0.99 thf(zip_derived_cl70, plain, ( (ssList @ sk4)),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.60/0.99 thf(zip_derived_cl69, plain, (((sk2) = (sk4))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.99 thf(zip_derived_cl80, plain, ( (ssList @ sk2)),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl69])).
% 0.60/0.99 thf(zip_derived_cl1342, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ((sk1) != (X0))
% 0.60/0.99 | ((tl @ sk2) != (X1))
% 0.60/0.99 | ~ (ssList @ X1)
% 0.60/0.99 | ((app @ X1 @ X2) != (X0))
% 0.60/0.99 | ((cons @ X3 @ nil) != (X2))
% 0.60/0.99 | ~ (ssList @ X2)
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((hd @ sk2) != (X3))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ~ (ssItem @ X3))),
% 0.60/0.99 inference('demod', [status(thm)],
% 0.60/0.99 [zip_derived_cl1338, zip_derived_cl2, zip_derived_cl80])).
% 0.60/0.99 thf(zip_derived_cl1343, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.60/0.99 (~ (ssItem @ X3)
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((hd @ sk2) != (X3))
% 0.60/0.99 | ~ (ssList @ X2)
% 0.60/0.99 | ((cons @ X3 @ nil) != (X2))
% 0.60/0.99 | ((app @ X1 @ X2) != (X0))
% 0.60/0.99 | ~ (ssList @ X1)
% 0.60/0.99 | ((tl @ sk2) != (X1))
% 0.60/0.99 | ((sk1) != (X0))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1342])).
% 0.60/0.99 thf(zip_derived_cl1345, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ((tl @ sk2) != (X0))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((app @ X0 @ X1) != (sk1))
% 0.60/0.99 | ((cons @ X2 @ nil) != (X1))
% 0.60/0.99 | ~ (ssList @ X1)
% 0.60/0.99 | ((hd @ sk2) != (X2))
% 0.60/0.99 | ~ (ssList @ sk1)
% 0.60/0.99 | ~ (ssItem @ X2))),
% 0.60/0.99 inference('eq_res', [status(thm)], [zip_derived_cl1343])).
% 0.60/0.99 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 0.60/0.99 thf(zf_stmt_10, negated_conjecture, (ssList @ sk3),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_3])).
% 0.60/0.99 thf(zip_derived_cl71, plain, ( (ssList @ sk3)),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.60/0.99 thf(zip_derived_cl68, plain, (((sk1) = (sk3))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.60/0.99 thf(zip_derived_cl81, plain, ( (ssList @ sk1)),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl71, zip_derived_cl68])).
% 0.60/0.99 thf(zip_derived_cl1346, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ((tl @ sk2) != (X0))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((app @ X0 @ X1) != (sk1))
% 0.60/0.99 | ((cons @ X2 @ nil) != (X1))
% 0.60/0.99 | ~ (ssList @ X1)
% 0.60/0.99 | ((hd @ sk2) != (X2))
% 0.60/0.99 | ~ (ssItem @ X2))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl1345, zip_derived_cl81])).
% 0.60/0.99 thf(zip_derived_cl1349, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (~ (ssItem @ X0)
% 0.60/0.99 | ((hd @ sk2) != (X0))
% 0.60/0.99 | ~ (ssList @ X1)
% 0.60/0.99 | ((cons @ X0 @ nil) != (X1))
% 0.60/0.99 | ((app @ (tl @ sk2) @ X1) != (sk1))
% 0.60/0.99 | ~ (ssList @ (tl @ sk2))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('eq_res', [status(thm)], [zip_derived_cl1346])).
% 0.60/0.99 thf(zip_derived_cl1350, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ sk2)
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 0.60/0.99 | ((cons @ X1 @ nil) != (X0))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((hd @ sk2) != (X1))
% 0.60/0.99 | ~ (ssItem @ X1))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl1349])).
% 0.60/0.99 thf(zip_derived_cl80, plain, ( (ssList @ sk2)),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl69])).
% 0.60/0.99 thf(zip_derived_cl1353, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 0.60/0.99 | ((cons @ X1 @ nil) != (X0))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((hd @ sk2) != (X1))
% 0.60/0.99 | ~ (ssItem @ X1))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl1350, zip_derived_cl80])).
% 0.60/0.99 thf(zip_derived_cl1354, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (~ (ssItem @ X1)
% 0.60/0.99 | ((hd @ sk2) != (X1))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((cons @ X1 @ nil) != (X0))
% 0.60/0.99 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1353])).
% 0.60/0.99 thf(zip_derived_cl1357, plain,
% 0.60/0.99 (![X0 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ~ (ssItem @ (hd @ sk2)))),
% 0.60/0.99 inference('eq_res', [status(thm)], [zip_derived_cl1354])).
% 0.60/0.99 thf(zip_derived_cl1358, plain,
% 0.60/0.99 (![X0 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ sk2)
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 0.60/0.99 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl1357])).
% 0.60/0.99 thf(zip_derived_cl80, plain, ( (ssList @ sk2)),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl69])).
% 0.60/0.99 thf(zip_derived_cl1361, plain,
% 0.60/0.99 (![X0 : $i]:
% 0.60/0.99 (((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 0.60/0.99 | ((app @ (tl @ sk2) @ X0) != (sk1))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl1358, zip_derived_cl80])).
% 0.60/0.99 thf(zip_derived_cl1362, plain,
% 0.60/0.99 (![X0 : $i]:
% 0.60/0.99 (((app @ (tl @ sk2) @ X0) != (sk1))
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (X0))
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1361])).
% 0.60/0.99 thf(zip_derived_cl1509, plain,
% 0.60/0.99 ((((sk1) != (sk1))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ (cons @ sk5 @ nil))
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (cons @ sk5 @ nil)))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl1452, zip_derived_cl1362])).
% 0.60/0.99 thf(zip_derived_cl1518, plain,
% 0.60/0.99 ((((cons @ (hd @ sk2) @ nil) != (cons @ sk5 @ nil))
% 0.60/0.99 | ~ (ssList @ (cons @ sk5 @ nil))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1509])).
% 0.60/0.99 thf(zip_derived_cl1519, plain,
% 0.60/0.99 ((((cons @ (hd @ sk2) @ nil) != (cons @ sk5 @ nil))
% 0.60/0.99 | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('local_rewriting', [status(thm)], [zip_derived_cl1518])).
% 0.60/0.99 thf(zip_derived_cl1681, plain,
% 0.60/0.99 ((~ (ssList @ nil)
% 0.60/0.99 | ~ (ssItem @ (hd @ sk2))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (cons @ sk5 @ nil)))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl1519])).
% 0.60/0.99 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.60/0.99 inference('cnf', [status(esa)], [clause8])).
% 0.60/0.99 thf(zip_derived_cl1684, plain,
% 0.60/0.99 ((~ (ssItem @ (hd @ sk2))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (cons @ sk5 @ nil)))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl1681, zip_derived_cl2])).
% 0.60/0.99 thf(zip_derived_cl1685, plain,
% 0.60/0.99 ((((nil) = (sk2))
% 0.60/0.99 | ~ (ssList @ sk2)
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (cons @ sk5 @ nil))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl1684])).
% 0.60/0.99 thf(zip_derived_cl80, plain, ( (ssList @ sk2)),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl69])).
% 0.60/0.99 thf(zip_derived_cl1688, plain,
% 0.60/0.99 ((((nil) = (sk2))
% 0.60/0.99 | ((cons @ (hd @ sk2) @ nil) != (cons @ sk5 @ nil))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl1685, zip_derived_cl80])).
% 0.60/0.99 thf(zip_derived_cl1689, plain,
% 0.60/0.99 ((((cons @ (hd @ sk2) @ nil) != (cons @ sk5 @ nil)) | ((nil) = (sk2)))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1688])).
% 0.60/0.99 thf(zip_derived_cl1707, plain,
% 0.60/0.99 ((((cons @ (hd @ sk2) @ nil) != (cons @ (hd @ sk2) @ nil))
% 0.60/0.99 | ((nil) = (sk2))
% 0.60/0.99 | ((nil) = (sk2)))),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl1694, zip_derived_cl1689])).
% 0.60/0.99 thf(zip_derived_cl1720, plain, (((nil) = (sk2))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1707])).
% 0.60/0.99 thf(zip_derived_cl1721, plain, (( (neq @ nil @ nil) | ((nil) != (sk1)))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl1720])).
% 0.60/0.99 thf(co1_7, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 0.60/0.99 thf(zf_stmt_11, negated_conjecture,
% 0.60/0.99 (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 0.60/0.99 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.60/0.99 thf(zip_derived_cl67, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.60/0.99 thf(zip_derived_cl68, plain, (((sk1) = (sk3))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.60/0.99 thf(zip_derived_cl76, plain, ((((nil) != (sk4)) | ((nil) = (sk1)))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl68])).
% 0.60/0.99 thf(zip_derived_cl69, plain, (((sk2) = (sk4))),
% 0.60/0.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.60/0.99 thf(zip_derived_cl79, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl69])).
% 0.60/0.99 thf(zip_derived_cl1720, plain, (((nil) = (sk2))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1707])).
% 0.60/0.99 thf(zip_derived_cl1725, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl1720])).
% 0.60/0.99 thf(zip_derived_cl1726, plain, (((nil) = (sk1))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1725])).
% 0.60/0.99 thf(zip_derived_cl1742, plain, (( (neq @ nil @ nil) | ((nil) != (nil)))),
% 0.60/0.99 inference('demod', [status(thm)],
% 0.60/0.99 [zip_derived_cl1721, zip_derived_cl1726])).
% 0.60/0.99 thf(zip_derived_cl1743, plain, ( (neq @ nil @ nil)),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl1742])).
% 0.60/0.99 thf(clause115, axiom,
% 0.60/0.99 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 0.60/0.99 ( ~( ssList @ U ) ))).
% 0.60/0.99 thf(zip_derived_cl29, plain,
% 0.60/0.99 (![X0 : $i, X1 : $i]:
% 0.60/0.99 (((X1) != (X0))
% 0.60/0.99 | ~ (neq @ X1 @ X0)
% 0.60/0.99 | ~ (ssList @ X0)
% 0.60/0.99 | ~ (ssList @ X1))),
% 0.60/0.99 inference('cnf', [status(esa)], [clause115])).
% 0.60/0.99 thf(zip_derived_cl84, plain,
% 0.60/0.99 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 0.60/0.99 inference('eq_res', [status(thm)], [zip_derived_cl29])).
% 0.60/0.99 thf(zip_derived_cl85, plain,
% 0.60/0.99 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 0.60/0.99 inference('simplify', [status(thm)], [zip_derived_cl84])).
% 0.60/0.99 thf(zip_derived_cl1744, plain, (~ (ssList @ nil)),
% 0.60/0.99 inference('sup-', [status(thm)], [zip_derived_cl1743, zip_derived_cl85])).
% 0.60/0.99 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.60/0.99 inference('cnf', [status(esa)], [clause8])).
% 0.60/0.99 thf(zip_derived_cl1746, plain, ($false),
% 0.60/0.99 inference('demod', [status(thm)], [zip_derived_cl1744, zip_derived_cl2])).
% 0.60/0.99
% 0.60/0.99 % SZS output end Refutation
% 0.60/0.99
% 0.60/0.99
% 0.60/0.99 % Terminating...
% 1.89/1.08 % Runner terminated.
% 1.91/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------