TSTP Solution File: SWC389-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC389-1 : 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.h9eYW51rS3 true
% Computer : n020.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 21:31:15 EDT 2023
% Result : Unsatisfiable 0.55s 0.92s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC389-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h9eYW51rS3 true
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 16:10:14 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.92 % Solved by fo/fo7.sh.
% 0.55/0.92 % done 409 iterations in 0.167s
% 0.55/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.92 % SZS output start Refutation
% 0.55/0.92 thf(nil_type, type, nil: $i).
% 0.55/0.92 thf(cons_type, type, cons: $i > $i > $i).
% 0.55/0.92 thf(sk2_type, type, sk2: $i).
% 0.55/0.92 thf(sk6_type, type, sk6: $i).
% 0.55/0.92 thf(sk4_type, type, sk4: $i).
% 0.55/0.92 thf(ssItem_type, type, ssItem: $i > $o).
% 0.55/0.92 thf(sk5_type, type, sk5: $i).
% 0.55/0.92 thf(sk3_type, type, sk3: $i).
% 0.55/0.92 thf(neq_type, type, neq: $i > $i > $o).
% 0.55/0.92 thf(app_type, type, app: $i > $i > $i).
% 0.55/0.92 thf(ssList_type, type, ssList: $i > $o).
% 0.55/0.92 thf(sk7_type, type, sk7: $i).
% 0.55/0.92 thf(sk1_type, type, sk1: $i).
% 0.55/0.92 thf(singletonP_type, type, singletonP: $i > $o).
% 0.55/0.92 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 0.55/0.92 thf(clause79, axiom,
% 0.55/0.92 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( segmentP @ nil @ U ))).
% 0.55/0.92 thf(zip_derived_cl16, plain,
% 0.55/0.92 (![X0 : $i]: (((nil) != (X0)) | ~ (ssList @ X0) | (segmentP @ nil @ X0))),
% 0.55/0.92 inference('cnf', [status(esa)], [clause79])).
% 0.55/0.92 thf(co1_11, conjecture,
% 0.55/0.92 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 0.55/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.92 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.55/0.92 thf(zip_derived_cl86, plain,
% 0.55/0.92 ((((nil) = (sk4)) | ((cons @ sk5 @ nil) = (sk3)))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.92 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.55/0.92 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.55/0.92 thf(zip_derived_cl92, plain, (((sk2) = (sk4))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.92 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.55/0.92 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl109, plain,
% 0.55/0.92 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 0.55/0.92 inference('demod', [status(thm)],
% 0.55/0.92 [zip_derived_cl86, zip_derived_cl92, zip_derived_cl91])).
% 0.55/0.92 thf(clause116, axiom,
% 0.55/0.92 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 0.55/0.92 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 0.55/0.92 thf(zip_derived_cl35, plain,
% 0.55/0.92 (![X0 : $i, X1 : $i]:
% 0.55/0.92 (((cons @ X1 @ nil) != (X0))
% 0.55/0.92 | ~ (ssItem @ X1)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | (singletonP @ X0))),
% 0.55/0.92 inference('cnf', [status(esa)], [clause116])).
% 0.55/0.92 thf(zip_derived_cl124, plain,
% 0.55/0.92 (![X0 : $i]:
% 0.55/0.92 (((sk1) != (X0))
% 0.55/0.92 | ((nil) = (sk2))
% 0.55/0.92 | (singletonP @ X0)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | ~ (ssItem @ sk5))),
% 0.55/0.92 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl35])).
% 0.55/0.92 thf(co1_7, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 ) ))).
% 0.55/0.92 thf(zf_stmt_3, negated_conjecture,
% 0.55/0.92 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.55/0.92 thf(zip_derived_cl90, plain, ((((nil) = (sk4)) | (ssItem @ sk5))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.92 thf(zip_derived_cl92, plain, (((sk2) = (sk4))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.92 thf(zip_derived_cl106, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl92])).
% 0.55/0.92 thf(zip_derived_cl171, plain,
% 0.55/0.92 (![X0 : $i]:
% 0.55/0.92 (~ (ssList @ X0)
% 0.55/0.92 | (singletonP @ X0)
% 0.55/0.92 | ((nil) = (sk2))
% 0.55/0.92 | ((sk1) != (X0)))),
% 0.55/0.92 inference('clc', [status(thm)], [zip_derived_cl124, zip_derived_cl106])).
% 0.55/0.92 thf(zip_derived_cl172, plain,
% 0.55/0.92 ((((nil) = (sk2)) | (singletonP @ sk1) | ~ (ssList @ sk1))),
% 0.55/0.92 inference('eq_res', [status(thm)], [zip_derived_cl171])).
% 0.55/0.92 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 0.55/0.92 thf(zf_stmt_4, negated_conjecture, (ssList @ sk3),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_3])).
% 0.55/0.92 thf(zip_derived_cl94, plain, ( (ssList @ sk3)),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl98, plain, ( (ssList @ sk1)),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.55/0.92 thf(zip_derived_cl173, plain, ((((nil) = (sk2)) | (singletonP @ sk1))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl98])).
% 0.55/0.92 thf(co1_21, conjecture,
% 0.55/0.92 (~( ( neq @ sk2 @ nil ) | ( ~( segmentP @ sk2 @ sk1 ) ) ))).
% 0.55/0.92 thf(zf_stmt_5, negated_conjecture,
% 0.55/0.92 (( neq @ sk2 @ nil ) | ( ~( segmentP @ sk2 @ sk1 ) )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_21])).
% 0.55/0.92 thf(zip_derived_cl76, plain,
% 0.55/0.92 (( (neq @ sk2 @ nil) | ~ (segmentP @ sk2 @ sk1))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.92 thf(zip_derived_cl177, plain,
% 0.55/0.92 ((~ (segmentP @ nil @ sk1) | (singletonP @ sk1) | (neq @ sk2 @ nil))),
% 0.55/0.92 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl76])).
% 0.55/0.92 thf(zip_derived_cl285, plain,
% 0.55/0.92 ((~ (ssList @ sk1)
% 0.55/0.92 | ((nil) != (sk1))
% 0.55/0.92 | (neq @ sk2 @ nil)
% 0.55/0.92 | (singletonP @ sk1))),
% 0.55/0.92 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl177])).
% 0.55/0.92 thf(zip_derived_cl98, plain, ( (ssList @ sk1)),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.55/0.92 thf(zip_derived_cl291, plain,
% 0.55/0.92 ((((nil) != (sk1)) | (neq @ sk2 @ nil) | (singletonP @ sk1))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl285, zip_derived_cl98])).
% 0.55/0.92 thf(zip_derived_cl292, plain,
% 0.55/0.92 ((((nil) != (sk1)) | (neq @ sk2 @ nil) | (singletonP @ nil))),
% 0.55/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl291])).
% 0.55/0.92 thf(clause11, axiom, (~( singletonP @ nil ))).
% 0.55/0.92 thf(zip_derived_cl3, plain, (~ (singletonP @ nil)),
% 0.55/0.92 inference('cnf', [status(esa)], [clause11])).
% 0.55/0.92 thf(zip_derived_cl297, plain, ((((nil) != (sk1)) | (neq @ sk2 @ nil))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl292, zip_derived_cl3])).
% 0.55/0.92 thf(co1_18, conjecture,
% 0.55/0.92 (~( ( ( nil ) = ( sk3 ) ) |
% 0.55/0.92 ( ( app @ ( app @ sk6 @ sk3 ) @ sk7 ) = ( sk4 ) ) ))).
% 0.55/0.92 thf(zf_stmt_6, negated_conjecture,
% 0.55/0.92 (( ( nil ) = ( sk3 ) ) | ( ( app @ ( app @ sk6 @ sk3 ) @ sk7 ) = ( sk4 ) )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.55/0.92 thf(zip_derived_cl79, plain,
% 0.55/0.92 ((((nil) = (sk3)) | ((app @ (app @ sk6 @ sk3) @ sk7) = (sk4)))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl92, plain, (((sk2) = (sk4))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.92 thf(zip_derived_cl134, plain,
% 0.55/0.92 ((((nil) = (sk1)) | ((app @ (app @ sk6 @ sk1) @ sk7) = (sk2)))),
% 0.55/0.92 inference('demod', [status(thm)],
% 0.55/0.92 [zip_derived_cl79, zip_derived_cl91, zip_derived_cl91,
% 0.55/0.92 zip_derived_cl92])).
% 0.55/0.92 thf(clause173, axiom,
% 0.55/0.92 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 0.55/0.92 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 0.55/0.92 ( segmentP @ X @ V ))).
% 0.55/0.92 thf(zip_derived_cl69, plain,
% 0.55/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.92 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 0.55/0.92 | ~ (ssList @ X3)
% 0.55/0.92 | ~ (ssList @ X1)
% 0.55/0.92 | ~ (ssList @ X2)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | (segmentP @ X0 @ X2))),
% 0.55/0.92 inference('cnf', [status(esa)], [clause173])).
% 0.55/0.92 thf(zip_derived_cl1298, plain,
% 0.55/0.92 (![X0 : $i]:
% 0.55/0.92 (((sk2) != (X0))
% 0.55/0.92 | ((nil) = (sk1))
% 0.55/0.92 | (segmentP @ X0 @ sk1)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | ~ (ssList @ sk1)
% 0.55/0.92 | ~ (ssList @ sk6)
% 0.55/0.92 | ~ (ssList @ sk7))),
% 0.55/0.92 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl69])).
% 0.55/0.92 thf(zip_derived_cl98, plain, ( (ssList @ sk1)),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.55/0.92 thf(zip_derived_cl1306, plain,
% 0.55/0.92 (![X0 : $i]:
% 0.55/0.92 (((sk2) != (X0))
% 0.55/0.92 | ((nil) = (sk1))
% 0.55/0.92 | (segmentP @ X0 @ sk1)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | ~ (ssList @ sk6)
% 0.55/0.92 | ~ (ssList @ sk7))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl1298, zip_derived_cl98])).
% 0.55/0.92 thf(co1_15, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssList @ sk6 ) ))).
% 0.55/0.92 thf(zf_stmt_7, negated_conjecture,
% 0.55/0.92 (( ( nil ) = ( sk3 ) ) | ( ssList @ sk6 )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.55/0.92 thf(zip_derived_cl82, plain, ((((nil) = (sk3)) | (ssList @ sk6))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl100, plain, ((((nil) = (sk1)) | (ssList @ sk6))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl91])).
% 0.55/0.92 thf(zip_derived_cl1359, plain,
% 0.55/0.92 (![X0 : $i]:
% 0.55/0.92 (~ (ssList @ sk7)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | (segmentP @ X0 @ sk1)
% 0.55/0.92 | ((nil) = (sk1))
% 0.55/0.92 | ((sk2) != (X0)))),
% 0.55/0.92 inference('clc', [status(thm)], [zip_derived_cl1306, zip_derived_cl100])).
% 0.55/0.92 thf(co1_16, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssList @ sk7 ) ))).
% 0.55/0.92 thf(zf_stmt_8, negated_conjecture,
% 0.55/0.92 (( ( nil ) = ( sk3 ) ) | ( ssList @ sk7 )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.55/0.92 thf(zip_derived_cl81, plain, ((((nil) = (sk3)) | (ssList @ sk7))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl99, plain, ((((nil) = (sk1)) | (ssList @ sk7))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl91])).
% 0.55/0.92 thf(zip_derived_cl1360, plain,
% 0.55/0.92 (![X0 : $i]:
% 0.55/0.92 (((sk2) != (X0))
% 0.55/0.92 | ((nil) = (sk1))
% 0.55/0.92 | (segmentP @ X0 @ sk1)
% 0.55/0.92 | ~ (ssList @ X0))),
% 0.55/0.92 inference('clc', [status(thm)], [zip_derived_cl1359, zip_derived_cl99])).
% 0.55/0.92 thf(zip_derived_cl1371, plain,
% 0.55/0.92 ((~ (ssList @ sk2) | (segmentP @ sk2 @ sk1) | ((nil) = (sk1)))),
% 0.55/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1360])).
% 0.55/0.92 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.55/0.92 thf(zf_stmt_9, negated_conjecture, (ssList @ sk4),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_4])).
% 0.55/0.92 thf(zip_derived_cl93, plain, ( (ssList @ sk4)),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/0.92 thf(zip_derived_cl92, plain, (((sk2) = (sk4))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.92 thf(zip_derived_cl97, plain, ( (ssList @ sk2)),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl92])).
% 0.55/0.92 thf(zip_derived_cl1372, plain, (( (segmentP @ sk2 @ sk1) | ((nil) = (sk1)))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl1371, zip_derived_cl97])).
% 0.55/0.92 thf(co1_17, conjecture,
% 0.55/0.92 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 0.55/0.92 thf(zf_stmt_10, negated_conjecture,
% 0.55/0.92 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.55/0.92 thf(zip_derived_cl80, plain,
% 0.55/0.92 ((((nil) = (sk3)) | ((cons @ sk5 @ nil) = (sk3)))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl126, plain,
% 0.55/0.92 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 0.55/0.92 inference('demod', [status(thm)],
% 0.55/0.92 [zip_derived_cl80, zip_derived_cl91, zip_derived_cl91])).
% 0.55/0.92 thf(zip_derived_cl35, plain,
% 0.55/0.92 (![X0 : $i, X1 : $i]:
% 0.55/0.92 (((cons @ X1 @ nil) != (X0))
% 0.55/0.92 | ~ (ssItem @ X1)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | (singletonP @ X0))),
% 0.55/0.92 inference('cnf', [status(esa)], [clause116])).
% 0.55/0.92 thf(zip_derived_cl129, plain,
% 0.55/0.92 (![X0 : $i]:
% 0.55/0.92 (((sk1) != (X0))
% 0.55/0.92 | ((nil) = (sk1))
% 0.55/0.92 | (singletonP @ X0)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | ~ (ssItem @ sk5))),
% 0.55/0.92 inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl35])).
% 0.55/0.92 thf(co1_8, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 ) ))).
% 0.55/0.92 thf(zf_stmt_11, negated_conjecture,
% 0.55/0.92 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.55/0.92 thf(zip_derived_cl89, plain, ((((nil) = (sk3)) | (ssItem @ sk5))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.55/0.92 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.92 thf(zip_derived_cl103, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl91])).
% 0.55/0.92 thf(zip_derived_cl174, plain,
% 0.55/0.92 (![X0 : $i]:
% 0.55/0.92 (~ (ssList @ X0)
% 0.55/0.92 | (singletonP @ X0)
% 0.55/0.92 | ((nil) = (sk1))
% 0.55/0.92 | ((sk1) != (X0)))),
% 0.55/0.92 inference('clc', [status(thm)], [zip_derived_cl129, zip_derived_cl103])).
% 0.55/0.92 thf(zip_derived_cl175, plain,
% 0.55/0.92 ((((nil) = (sk1)) | (singletonP @ sk1) | ~ (ssList @ sk1))),
% 0.55/0.92 inference('eq_res', [status(thm)], [zip_derived_cl174])).
% 0.55/0.92 thf(zip_derived_cl98, plain, ( (ssList @ sk1)),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.55/0.92 thf(zip_derived_cl176, plain, ((((nil) = (sk1)) | (singletonP @ sk1))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl98])).
% 0.55/0.92 thf(co1_22, conjecture,
% 0.55/0.92 (~( ( ~( singletonP @ sk1 ) ) | ( ~( segmentP @ sk2 @ sk1 ) ) ))).
% 0.55/0.92 thf(zf_stmt_12, negated_conjecture,
% 0.55/0.92 (( ~( singletonP @ sk1 ) ) | ( ~( segmentP @ sk2 @ sk1 ) )),
% 0.55/0.92 inference('cnf.neg', [status(esa)], [co1_22])).
% 0.55/0.92 thf(zip_derived_cl75, plain,
% 0.55/0.92 ((~ (singletonP @ sk1) | ~ (segmentP @ sk2 @ sk1))),
% 0.55/0.92 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.55/0.92 thf(zip_derived_cl180, plain, ((((nil) = (sk1)) | ~ (segmentP @ sk2 @ sk1))),
% 0.55/0.92 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl75])).
% 0.55/0.92 thf(zip_derived_cl1450, plain, (((nil) = (sk1))),
% 0.55/0.92 inference('clc', [status(thm)], [zip_derived_cl1372, zip_derived_cl180])).
% 0.55/0.92 thf(zip_derived_cl1467, plain, ((((nil) != (nil)) | (neq @ sk2 @ nil))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl1450])).
% 0.55/0.92 thf(zip_derived_cl1468, plain, ( (neq @ sk2 @ nil)),
% 0.55/0.92 inference('simplify', [status(thm)], [zip_derived_cl1467])).
% 0.55/0.92 thf(zip_derived_cl109, plain,
% 0.55/0.92 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 0.55/0.92 inference('demod', [status(thm)],
% 0.55/0.92 [zip_derived_cl86, zip_derived_cl92, zip_derived_cl91])).
% 0.55/0.92 thf(clause98, axiom,
% 0.55/0.92 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 0.55/0.92 ( ~( ssList @ V ) ))).
% 0.55/0.92 thf(zip_derived_cl24, plain,
% 0.55/0.92 (![X0 : $i, X1 : $i]:
% 0.55/0.92 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 0.55/0.92 inference('cnf', [status(esa)], [clause98])).
% 0.55/0.92 thf(zip_derived_cl110, plain,
% 0.55/0.92 ((((sk1) != (nil))
% 0.55/0.92 | ((nil) = (sk2))
% 0.55/0.92 | ~ (ssList @ nil)
% 0.55/0.92 | ~ (ssItem @ sk5))),
% 0.55/0.92 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl24])).
% 0.55/0.92 thf(clause8, axiom, (ssList @ nil)).
% 0.55/0.92 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.55/0.92 inference('cnf', [status(esa)], [clause8])).
% 0.55/0.92 thf(zip_derived_cl111, plain,
% 0.55/0.92 ((((sk1) != (nil)) | ((nil) = (sk2)) | ~ (ssItem @ sk5))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl2])).
% 0.55/0.92 thf(zip_derived_cl106, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl92])).
% 0.55/0.92 thf(zip_derived_cl120, plain, ((((nil) = (sk2)) | ((sk1) != (nil)))),
% 0.55/0.92 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl106])).
% 0.55/0.92 thf(zip_derived_cl1450, plain, (((nil) = (sk1))),
% 0.55/0.92 inference('clc', [status(thm)], [zip_derived_cl1372, zip_derived_cl180])).
% 0.55/0.92 thf(zip_derived_cl1456, plain, ((((nil) = (sk2)) | ((nil) != (nil)))),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl1450])).
% 0.55/0.92 thf(zip_derived_cl1457, plain, (((nil) = (sk2))),
% 0.55/0.92 inference('simplify', [status(thm)], [zip_derived_cl1456])).
% 0.55/0.92 thf(zip_derived_cl1508, plain, ( (neq @ nil @ nil)),
% 0.55/0.92 inference('demod', [status(thm)],
% 0.55/0.92 [zip_derived_cl1468, zip_derived_cl1457])).
% 0.55/0.92 thf(clause115, axiom,
% 0.55/0.92 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 0.55/0.92 ( ~( ssList @ U ) ))).
% 0.55/0.92 thf(zip_derived_cl34, plain,
% 0.55/0.92 (![X0 : $i, X1 : $i]:
% 0.55/0.92 (((X1) != (X0))
% 0.55/0.92 | ~ (neq @ X1 @ X0)
% 0.55/0.92 | ~ (ssList @ X0)
% 0.55/0.92 | ~ (ssList @ X1))),
% 0.55/0.92 inference('cnf', [status(esa)], [clause115])).
% 0.55/0.92 thf(zip_derived_cl118, plain,
% 0.55/0.92 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 0.55/0.92 inference('eq_res', [status(thm)], [zip_derived_cl34])).
% 0.55/0.92 thf(zip_derived_cl119, plain,
% 0.55/0.92 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 0.55/0.92 inference('simplify', [status(thm)], [zip_derived_cl118])).
% 0.55/0.92 thf(zip_derived_cl1509, plain, (~ (ssList @ nil)),
% 0.55/0.92 inference('sup-', [status(thm)], [zip_derived_cl1508, zip_derived_cl119])).
% 0.55/0.92 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.55/0.92 inference('cnf', [status(esa)], [clause8])).
% 0.55/0.92 thf(zip_derived_cl1511, plain, ($false),
% 0.55/0.92 inference('demod', [status(thm)], [zip_derived_cl1509, zip_derived_cl2])).
% 0.55/0.92
% 0.55/0.92 % SZS output end Refutation
% 0.55/0.92
% 0.55/0.92
% 0.55/0.92 % Terminating...
% 0.59/1.03 % Runner terminated.
% 0.59/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------