TSTP Solution File: SWC343-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC343-1 : 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.lj3uONDbuO true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:30:53 EDT 2023
% Result : Unsatisfiable 0.48s 1.06s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC343-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lj3uONDbuO true
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 17:53:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.47/0.56 % Total configuration time : 435
% 0.47/0.56 % Estimated wc time : 1092
% 0.47/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/1.06 % Solved by fo/fo1_av.sh.
% 0.48/1.06 % done 228 iterations in 0.176s
% 0.48/1.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/1.06 % SZS output start Refutation
% 0.48/1.06 thf(nil_type, type, nil: $i).
% 0.48/1.06 thf(cons_type, type, cons: $i > $i > $i).
% 0.48/1.06 thf(sk2_type, type, sk2: $i).
% 0.48/1.06 thf(sk8_type, type, sk8: $i > $i).
% 0.48/1.06 thf(sk6_type, type, sk6: $i > $i).
% 0.48/1.06 thf(sk4_type, type, sk4: $i).
% 0.48/1.06 thf(sk9_type, type, sk9: $i > $i).
% 0.48/1.06 thf(lt_type, type, lt: $i > $i > $o).
% 0.48/1.06 thf(sk7_type, type, sk7: $i > $i).
% 0.48/1.06 thf(ssItem_type, type, ssItem: $i > $o).
% 0.48/1.06 thf(strictorderedP_type, type, strictorderedP: $i > $o).
% 0.48/1.06 thf(sk5_type, type, sk5: $i).
% 0.48/1.06 thf(sk3_type, type, sk3: $i).
% 0.48/1.06 thf(app_type, type, app: $i > $i > $i).
% 0.48/1.06 thf(ssList_type, type, ssList: $i > $o).
% 0.48/1.06 thf(sk1_type, type, sk1: $i).
% 0.48/1.06 thf(co1_8, conjecture, (( app @ sk3 @ sk5 ) != ( sk4 ))).
% 0.48/1.06 thf(zf_stmt_0, negated_conjecture, (( app @ sk3 @ sk5 ) = ( sk4 )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.48/1.06 thf(zip_derived_cl192, plain, (((app @ sk3 @ sk5) = (sk4))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/1.06 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.48/1.06 thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.48/1.06 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/1.06 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.48/1.06 thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.48/1.06 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/1.06 thf(zip_derived_cl267, plain, (((app @ sk1 @ sk5) = (sk2))),
% 0.48/1.06 inference('demod', [status(thm)],
% 0.48/1.06 [zip_derived_cl192, zip_derived_cl190, zip_derived_cl189])).
% 0.48/1.06 thf(co1_12, conjecture,
% 0.48/1.06 (~( ( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssItem @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_3, negated_conjecture,
% 0.48/1.06 (( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssItem @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.48/1.06 thf(zip_derived_cl196, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) = (sk1))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.48/1.06 thf(zip_derived_cl214, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.48/1.06 thf(co1_16, conjecture,
% 0.48/1.06 (~( ( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssItem @ ( sk8 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_4, negated_conjecture,
% 0.48/1.06 (( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssItem @ ( sk8 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.48/1.06 thf(zip_derived_cl200, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) = (sk1))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.48/1.06 thf(zip_derived_cl226, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.48/1.06 thf(co1_14, conjecture,
% 0.48/1.06 (~( ( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssList @ ( sk7 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_5, negated_conjecture,
% 0.48/1.06 (( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssList @ ( sk7 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.48/1.06 thf(zip_derived_cl198, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) = (sk1))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (ssList @ (sk7 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.48/1.06 thf(zip_derived_cl220, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl198])).
% 0.48/1.06 thf(co1_17, conjecture,
% 0.48/1.06 (~( ( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssList @ ( sk9 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_6, negated_conjecture,
% 0.48/1.06 (( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssList @ ( sk9 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.48/1.06 thf(zip_derived_cl201, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) = (sk1))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (ssList @ (sk9 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.48/1.06 thf(zip_derived_cl229, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl201])).
% 0.48/1.06 thf(co1_19, conjecture,
% 0.48/1.06 (~( ( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( lt @ ( sk8 @ A ) @ ( sk6 @ A ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_7, negated_conjecture,
% 0.48/1.06 (( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( lt @ ( sk8 @ A ) @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_19])).
% 0.48/1.06 thf(zip_derived_cl203, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) = (sk1))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.48/1.06 thf(zip_derived_cl235, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl203])).
% 0.48/1.06 thf(co1_15, conjecture,
% 0.48/1.06 (~( ( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ( app @ ( cons @ ( sk6 @ A ) @ nil ) @ ( sk7 @ A ) ) = ( A ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_8, negated_conjecture,
% 0.48/1.06 (( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ( app @ ( cons @ ( sk6 @ A ) @ nil ) @ ( sk7 @ A ) ) = ( A ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.48/1.06 thf(zip_derived_cl199, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) = (sk1))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.48/1.06 thf(zip_derived_cl223, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl199])).
% 0.48/1.06 thf(co1_18, conjecture,
% 0.48/1.06 (~( ( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ( app @ ( sk9 @ A ) @ ( cons @ ( sk8 @ A ) @ nil ) ) = ( sk1 ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_9, negated_conjecture,
% 0.48/1.06 (( ( nil ) = ( sk1 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ( app @ ( sk9 @ A ) @ ( cons @ ( sk8 @ A ) @ nil ) ) = ( sk1 ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.48/1.06 thf(zip_derived_cl202, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) = (sk1))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.48/1.06 thf(zip_derived_cl232, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl202])).
% 0.48/1.06 thf(co1_10, conjecture,
% 0.48/1.06 (~( ( ~( lt @ C @ A ) ) |
% 0.48/1.06 ( ( app @ D @ ( cons @ C @ nil ) ) != ( sk3 ) ) |
% 0.48/1.06 ( ~( ssList @ D ) ) | ( ~( ssItem @ C ) ) |
% 0.48/1.06 ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk5 ) ) |
% 0.48/1.06 ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_10, negated_conjecture,
% 0.48/1.06 (( ~( lt @ C @ A ) ) | ( ( app @ D @ ( cons @ C @ nil ) ) != ( sk3 ) ) |
% 0.48/1.06 ( ~( ssList @ D ) ) | ( ~( ssItem @ C ) ) |
% 0.48/1.06 ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk5 ) ) | ( ~( ssList @ B ) ) |
% 0.48/1.06 ( ~( ssItem @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.48/1.06 thf(zip_derived_cl194, plain,
% 0.48/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/1.06 (~ (lt @ X0 @ X1)
% 0.48/1.06 | ((app @ X2 @ (cons @ X0 @ nil)) != (sk3))
% 0.48/1.06 | ~ (ssList @ X2)
% 0.48/1.06 | ~ (ssItem @ X0)
% 0.48/1.06 | ((app @ (cons @ X1 @ nil) @ X3) != (sk5))
% 0.48/1.06 | ~ (ssList @ X3)
% 0.48/1.06 | ~ (ssItem @ X1))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.48/1.06 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/1.06 thf(zip_derived_cl374, plain,
% 0.48/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/1.06 (~ (lt @ X0 @ X1)
% 0.48/1.06 | ((app @ X2 @ (cons @ X0 @ nil)) != (sk1))
% 0.48/1.06 | ~ (ssList @ X2)
% 0.48/1.06 | ~ (ssItem @ X0)
% 0.48/1.06 | ((app @ (cons @ X1 @ nil) @ X3) != (sk5))
% 0.48/1.06 | ~ (ssList @ X3)
% 0.48/1.06 | ~ (ssItem @ X1))),
% 0.48/1.06 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl190])).
% 0.48/1.06 thf(zip_derived_cl376, plain,
% 0.48/1.06 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/1.06 (((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ~ (lt @ (sk8 @ X0) @ X1)
% 0.48/1.06 | ((sk1) != (sk1))
% 0.48/1.06 | ~ (ssList @ (sk9 @ X0))
% 0.48/1.06 | ~ (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ((app @ (cons @ X1 @ nil) @ X2) != (sk5))
% 0.48/1.06 | ~ (ssList @ X2)
% 0.48/1.06 | ~ (ssItem @ X1)))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl232, zip_derived_cl374])).
% 0.48/1.06 thf(zip_derived_cl378, plain,
% 0.48/1.06 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/1.06 (~ (ssItem @ X1)
% 0.48/1.06 | ~ (ssList @ X2)
% 0.48/1.06 | ((app @ (cons @ X1 @ nil) @ X2) != (sk5))
% 0.48/1.06 | ~ (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ~ (ssList @ (sk9 @ X0))
% 0.48/1.06 | ~ (lt @ (sk8 @ X0) @ X1)
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl376])).
% 0.48/1.06 thf(zip_derived_cl406, plain,
% 0.48/1.06 ((![X0 : $i, X1 : $i]:
% 0.48/1.06 (((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ~ (ssList @ (sk7 @ X0))
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssItem @ (sk8 @ X1))
% 0.48/1.06 | ~ (ssList @ (sk9 @ X1))
% 0.48/1.06 | ~ (lt @ (sk8 @ X1) @ (sk6 @ X0))
% 0.48/1.06 | ~ (ssList @ X1)
% 0.48/1.06 | ((app @ sk1 @ X1) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl223, zip_derived_cl378])).
% 0.48/1.06 thf(zip_derived_cl423, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ~ (ssList @ (sk7 @ X0))
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ~ (ssList @ (sk9 @ X0))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl406])).
% 0.48/1.06 thf(zip_derived_cl424, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ (sk9 @ X0))
% 0.48/1.06 | ~ (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssList @ (sk7 @ X0))
% 0.48/1.06 | ~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl423])).
% 0.48/1.06 thf(zip_derived_cl427, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ~ (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssList @ (sk7 @ X0))
% 0.48/1.06 | ~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl229, zip_derived_cl424])).
% 0.48/1.06 thf(zip_derived_cl428, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ~ (ssList @ (sk7 @ X0))
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl427])).
% 0.48/1.06 thf(zip_derived_cl431, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl428])).
% 0.48/1.06 thf(zip_derived_cl432, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl431])).
% 0.48/1.06 thf(zip_derived_cl441, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl432])).
% 0.48/1.06 thf(zip_derived_cl443, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl441])).
% 0.48/1.06 thf(zip_derived_cl486, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((X0) != (sk5))
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl443])).
% 0.48/1.06 thf(zip_derived_cl487, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((X0) != (sk5)) | ~ (ssList @ X0) | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl486])).
% 0.48/1.06 thf(zip_derived_cl497, plain,
% 0.48/1.06 (((((sk5) != (sk5)) | ~ (ssList @ sk5) | ((sk2) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl487])).
% 0.48/1.06 thf(co1_7, conjecture, (~( ssList @ sk5 ))).
% 0.48/1.06 thf(zf_stmt_11, negated_conjecture, (ssList @ sk5),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.48/1.06 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.48/1.06 thf(zip_derived_cl503, plain,
% 0.48/1.06 (((((sk5) != (sk5)) | ((sk2) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('demod', [status(thm)], [zip_derived_cl497, zip_derived_cl191])).
% 0.48/1.06 thf(zip_derived_cl504, plain,
% 0.48/1.06 (($false)
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl503])).
% 0.48/1.06 thf(zip_derived_cl267, plain, (((app @ sk1 @ sk5) = (sk2))),
% 0.48/1.06 inference('demod', [status(thm)],
% 0.48/1.06 [zip_derived_cl192, zip_derived_cl190, zip_derived_cl189])).
% 0.48/1.06 thf(clause119, axiom,
% 0.48/1.06 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 0.48/1.06 ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 0.48/1.06 thf(zip_derived_cl118, plain,
% 0.48/1.06 (![X0 : $i, X1 : $i]:
% 0.48/1.06 (((app @ X0 @ X1) != (nil))
% 0.48/1.06 | ~ (ssList @ X1)
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((nil) = (X1)))),
% 0.48/1.06 inference('cnf', [status(esa)], [clause119])).
% 0.48/1.06 thf(zip_derived_cl337, plain,
% 0.48/1.06 ((((sk2) != (nil))
% 0.48/1.06 | ~ (ssList @ sk5)
% 0.48/1.06 | ~ (ssList @ sk1)
% 0.48/1.06 | ((nil) = (sk5)))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl118])).
% 0.48/1.06 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.48/1.06 thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 0.48/1.06 thf(zf_stmt_12, negated_conjecture, (ssList @ sk1),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_1])).
% 0.48/1.06 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.48/1.06 thf(zip_derived_cl346, plain, ((((sk2) != (nil)) | ((nil) = (sk5)))),
% 0.48/1.06 inference('demod', [status(thm)],
% 0.48/1.06 [zip_derived_cl337, zip_derived_cl191, zip_derived_cl185])).
% 0.48/1.06 thf('0', plain, (~ (((nil) = (sk2))) | (((nil) = (sk5)))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl346])).
% 0.48/1.06 thf(zip_derived_cl267, plain, (((app @ sk1 @ sk5) = (sk2))),
% 0.48/1.06 inference('demod', [status(thm)],
% 0.48/1.06 [zip_derived_cl192, zip_derived_cl190, zip_derived_cl189])).
% 0.48/1.06 thf(clause118, axiom,
% 0.48/1.06 (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) |
% 0.48/1.06 ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.48/1.06 thf(zip_derived_cl117, plain,
% 0.48/1.06 (![X0 : $i, X1 : $i]:
% 0.48/1.06 (((app @ X0 @ X1) != (nil))
% 0.48/1.06 | ~ (ssList @ X1)
% 0.48/1.06 | ~ (ssList @ X0)
% 0.48/1.06 | ((nil) = (X0)))),
% 0.48/1.06 inference('cnf', [status(esa)], [clause118])).
% 0.48/1.06 thf(zip_derived_cl313, plain,
% 0.48/1.06 ((((sk2) != (nil))
% 0.48/1.06 | ~ (ssList @ sk5)
% 0.48/1.06 | ~ (ssList @ sk1)
% 0.48/1.06 | ((nil) = (sk1)))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl117])).
% 0.48/1.06 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.48/1.06 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.48/1.06 thf(zip_derived_cl322, plain, ((((sk2) != (nil)) | ((nil) = (sk1)))),
% 0.48/1.06 inference('demod', [status(thm)],
% 0.48/1.06 [zip_derived_cl313, zip_derived_cl191, zip_derived_cl185])).
% 0.48/1.06 thf('1', plain, (~ (((nil) = (sk2))) | (((nil) = (sk1)))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl322])).
% 0.48/1.06 thf(co1_13, conjecture,
% 0.48/1.06 (~( ( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssItem @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_13, negated_conjecture,
% 0.48/1.06 (( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssItem @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.48/1.06 thf(zip_derived_cl197, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) != (sk2))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.48/1.06 thf('2', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) |
% 0.48/1.06 ~ (((nil) = (sk2))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl197])).
% 0.48/1.06 thf(co1_25, conjecture,
% 0.48/1.06 (~( ( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( lt @ ( sk8 @ A ) @ ( sk6 @ A ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_14, negated_conjecture,
% 0.48/1.06 (( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( lt @ ( sk8 @ A ) @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_25])).
% 0.48/1.06 thf(zip_derived_cl209, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) != (sk2))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.48/1.06 thf('3', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))) |
% 0.48/1.06 ~ (((nil) = (sk2))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl209])).
% 0.48/1.06 thf(co1_22, conjecture,
% 0.48/1.06 (~( ( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssItem @ ( sk8 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_15, negated_conjecture,
% 0.48/1.06 (( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssItem @ ( sk8 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_22])).
% 0.48/1.06 thf(zip_derived_cl206, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) != (sk2))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (ssItem @ (sk8 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.48/1.06 thf('4', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) |
% 0.48/1.06 ~ (((nil) = (sk2))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl206])).
% 0.48/1.06 thf(co1_21, conjecture,
% 0.48/1.06 (~( ( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ( app @ ( cons @ ( sk6 @ A ) @ nil ) @ ( sk7 @ A ) ) = ( A ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_16, negated_conjecture,
% 0.48/1.06 (( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ( app @ ( cons @ ( sk6 @ A ) @ nil ) @ ( sk7 @ A ) ) = ( A ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_21])).
% 0.48/1.06 thf(zip_derived_cl205, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) != (sk2))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.48/1.06 thf('5', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) |
% 0.48/1.06 ~ (((nil) = (sk2))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl205])).
% 0.48/1.06 thf(co1_24, conjecture,
% 0.48/1.06 (~( ( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ( app @ ( sk9 @ A ) @ ( cons @ ( sk8 @ A ) @ nil ) ) = ( sk1 ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_17, negated_conjecture,
% 0.48/1.06 (( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ( app @ ( sk9 @ A ) @ ( cons @ ( sk8 @ A ) @ nil ) ) = ( sk1 ) ) |
% 0.48/1.06 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_24])).
% 0.48/1.06 thf(zip_derived_cl208, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) != (sk2))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.48/1.06 thf('6', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) |
% 0.48/1.06 ~ (((nil) = (sk2))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl208])).
% 0.48/1.06 thf(co1_20, conjecture,
% 0.48/1.06 (~( ( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssList @ ( sk7 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_18, negated_conjecture,
% 0.48/1.06 (( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssList @ ( sk7 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_20])).
% 0.48/1.06 thf(zip_derived_cl204, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) != (sk2))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (ssList @ (sk7 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.48/1.06 thf('7', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) |
% 0.48/1.06 ~ (((nil) = (sk2))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl204])).
% 0.48/1.06 thf(co1_23, conjecture,
% 0.48/1.06 (~( ( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssList @ ( sk9 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) ) ))).
% 0.48/1.06 thf(zf_stmt_19, negated_conjecture,
% 0.48/1.06 (( ( nil ) != ( sk2 ) ) | ( ~( strictorderedP @ sk1 ) ) |
% 0.48/1.06 ( ssList @ ( sk9 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.48/1.06 ( ~( ssList @ A ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_23])).
% 0.48/1.06 thf(zip_derived_cl207, plain,
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (((nil) != (sk2))
% 0.48/1.06 | ~ (strictorderedP @ sk1)
% 0.48/1.06 | (ssList @ (sk9 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ~ (ssList @ X0))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.48/1.06 thf('8', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) |
% 0.48/1.06 ~ (((nil) = (sk2))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl207])).
% 0.48/1.06 thf(co1_9, conjecture, (~( strictorderedP @ sk3 ))).
% 0.48/1.06 thf(zf_stmt_20, negated_conjecture, (strictorderedP @ sk3),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.48/1.06 thf(zip_derived_cl193, plain, ( (strictorderedP @ sk3)),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.48/1.06 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/1.06 thf(zip_derived_cl271, plain, ( (strictorderedP @ sk1)),
% 0.48/1.06 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 0.48/1.06 thf(zip_derived_cl215, plain,
% 0.48/1.06 ((~ (strictorderedP @ sk1)) <= (~ ( (strictorderedP @ sk1)))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.48/1.06 thf('9', plain, (( (strictorderedP @ sk1))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl215])).
% 0.48/1.06 thf(co1_11, conjecture,
% 0.48/1.06 (~( ( ( nil ) != ( sk3 ) ) | ( ( nil ) = ( sk4 ) ) ))).
% 0.48/1.06 thf(zf_stmt_21, negated_conjecture,
% 0.48/1.06 (( ( nil ) != ( sk3 ) ) | ( ( nil ) = ( sk4 ) )),
% 0.48/1.06 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.48/1.06 thf(zip_derived_cl195, plain, ((((nil) != (sk3)) | ((nil) = (sk4)))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.48/1.06 thf(zip_derived_cl212, plain, ((((nil) = (sk4))) <= ((((nil) = (sk4))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.48/1.06 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/1.06 thf(zip_derived_cl257, plain, ((((sk2) = (nil))) <= ((((nil) = (sk4))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl189])).
% 0.48/1.06 thf(zip_derived_cl219, plain, ((((nil) != (sk2))) <= (~ (((nil) = (sk2))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl197])).
% 0.48/1.06 thf(zip_derived_cl263, plain,
% 0.48/1.06 ((((nil) != (nil))) <= (~ (((nil) = (sk2))) & (((nil) = (sk4))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl257, zip_derived_cl219])).
% 0.48/1.06 thf('10', plain, (~ (((nil) = (sk4))) | (((nil) = (sk2)))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl263])).
% 0.48/1.06 thf(zip_derived_cl257, plain, ((((sk2) = (nil))) <= ((((nil) = (sk4))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl189])).
% 0.48/1.06 thf(zip_derived_cl216, plain, ((((nil) = (sk1))) <= ((((nil) = (sk1))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.48/1.06 thf(zip_derived_cl267, plain, (((app @ sk1 @ sk5) = (sk2))),
% 0.48/1.06 inference('demod', [status(thm)],
% 0.48/1.06 [zip_derived_cl192, zip_derived_cl190, zip_derived_cl189])).
% 0.48/1.06 thf(zip_derived_cl268, plain,
% 0.48/1.06 ((((app @ nil @ sk5) = (sk2))) <= ((((nil) = (sk1))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl267])).
% 0.48/1.06 thf(zip_derived_cl268, plain,
% 0.48/1.06 ((((app @ nil @ sk5) = (sk2))) <= ((((nil) = (sk1))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl216, zip_derived_cl267])).
% 0.48/1.06 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 0.48/1.06 thf(zip_derived_cl73, plain,
% 0.48/1.06 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.48/1.06 inference('cnf', [status(esa)], [clause74])).
% 0.48/1.06 thf(zip_derived_cl274, plain,
% 0.48/1.06 (((~ (ssList @ sk5) | ((sk2) = (sk5)))) <= ((((nil) = (sk1))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl73])).
% 0.48/1.06 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.48/1.06 thf(zip_derived_cl275, plain, ((((sk2) = (sk5))) <= ((((nil) = (sk1))))),
% 0.48/1.06 inference('demod', [status(thm)], [zip_derived_cl274, zip_derived_cl191])).
% 0.48/1.06 thf(zip_derived_cl276, plain,
% 0.48/1.06 ((((app @ nil @ sk2) = (sk2))) <= ((((nil) = (sk1))))),
% 0.48/1.06 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl275])).
% 0.48/1.06 thf(zip_derived_cl280, plain,
% 0.48/1.06 ((((app @ nil @ nil) = (nil))) <= ((((nil) = (sk4))) & (((nil) = (sk1))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl276])).
% 0.48/1.06 thf(zip_derived_cl352, plain, ((((nil) = (sk5))) <= ((((nil) = (sk5))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl346])).
% 0.48/1.06 thf(zip_derived_cl267, plain, (((app @ sk1 @ sk5) = (sk2))),
% 0.48/1.06 inference('demod', [status(thm)],
% 0.48/1.06 [zip_derived_cl192, zip_derived_cl190, zip_derived_cl189])).
% 0.48/1.06 thf(zip_derived_cl354, plain,
% 0.48/1.06 ((((app @ sk1 @ nil) = (sk2))) <= ((((nil) = (sk5))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl352, zip_derived_cl267])).
% 0.48/1.06 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 0.48/1.06 thf(zip_derived_cl72, plain,
% 0.48/1.06 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 0.48/1.06 inference('cnf', [status(esa)], [clause73])).
% 0.48/1.06 thf(zip_derived_cl358, plain,
% 0.48/1.06 (((~ (ssList @ sk1) | ((sk2) = (sk1)))) <= ((((nil) = (sk5))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl354, zip_derived_cl72])).
% 0.48/1.06 thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.48/1.06 thf(zip_derived_cl362, plain, ((((sk2) = (sk1))) <= ((((nil) = (sk5))))),
% 0.48/1.06 inference('demod', [status(thm)], [zip_derived_cl358, zip_derived_cl185])).
% 0.48/1.06 thf(zip_derived_cl257, plain, ((((sk2) = (nil))) <= ((((nil) = (sk4))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl189])).
% 0.48/1.06 thf(zip_derived_cl382, plain,
% 0.48/1.06 ((((sk1) = (nil))) <= ((((nil) = (sk4))) & (((nil) = (sk5))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl362, zip_derived_cl257])).
% 0.48/1.06 thf(zip_derived_cl487, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((X0) != (sk5)) | ~ (ssList @ X0) | ((app @ sk1 @ X0) != (sk2))))
% 0.48/1.06 <= ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl486])).
% 0.48/1.06 thf(zip_derived_cl499, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((X0) != (sk5)) | ~ (ssList @ X0) | ((app @ nil @ X0) != (sk2))))
% 0.48/1.06 <= ((((nil) = (sk4))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))) &
% 0.48/1.06 (((nil) = (sk5))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl382, zip_derived_cl487])).
% 0.48/1.06 thf(zip_derived_cl352, plain, ((((nil) = (sk5))) <= ((((nil) = (sk5))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl346])).
% 0.48/1.06 thf(zip_derived_cl362, plain, ((((sk2) = (sk1))) <= ((((nil) = (sk5))))),
% 0.48/1.06 inference('demod', [status(thm)], [zip_derived_cl358, zip_derived_cl185])).
% 0.48/1.06 thf(zip_derived_cl382, plain,
% 0.48/1.06 ((((sk1) = (nil))) <= ((((nil) = (sk4))) & (((nil) = (sk5))))),
% 0.48/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl362, zip_derived_cl257])).
% 0.48/1.06 thf(zip_derived_cl506, plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (((X0) != (nil)) | ~ (ssList @ X0) | ((app @ nil @ X0) != (nil))))
% 0.48/1.06 <= ((((nil) = (sk4))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))) &
% 0.48/1.06 (((nil) = (sk5))))),
% 0.48/1.06 inference('demod', [status(thm)],
% 0.48/1.06 [zip_derived_cl499, zip_derived_cl352, zip_derived_cl362,
% 0.48/1.06 zip_derived_cl382])).
% 0.48/1.06 thf(zip_derived_cl509, plain,
% 0.48/1.06 (((((nil) != (nil)) | ~ (ssList @ nil) | ((nil) != (nil))))
% 0.48/1.06 <= ((((nil) = (sk4))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (((nil) = (sk1))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))) &
% 0.48/1.06 (((nil) = (sk5))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl280, zip_derived_cl506])).
% 0.48/1.06 thf(clause8, axiom, (ssList @ nil)).
% 0.48/1.06 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.48/1.06 inference('cnf', [status(esa)], [clause8])).
% 0.48/1.06 thf(zip_derived_cl516, plain,
% 0.48/1.06 (((((nil) != (nil)) | ((nil) != (nil))))
% 0.48/1.06 <= ((((nil) = (sk4))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.48/1.06 (((nil) = (sk1))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) &
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))) &
% 0.48/1.06 (((nil) = (sk5))))),
% 0.48/1.06 inference('demod', [status(thm)], [zip_derived_cl509, zip_derived_cl7])).
% 0.48/1.06 thf('11', plain,
% 0.48/1.06 (~ (((nil) = (sk1))) | ~ (((nil) = (sk5))) |
% 0.48/1.06 ~
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) |
% 0.48/1.06 ~
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) |
% 0.48/1.06 ~
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) |
% 0.48/1.06 ~
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) |
% 0.48/1.06 ~
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) |
% 0.48/1.06 ~
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))) |
% 0.48/1.06 ~
% 0.48/1.06 (![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) |
% 0.48/1.06 ~ (((nil) = (sk4)))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl516])).
% 0.48/1.06 thf('12', plain, (~ (((nil) = (sk3))) | (((nil) = (sk4)))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.48/1.06 thf(zip_derived_cl216, plain, ((((nil) = (sk1))) <= ((((nil) = (sk1))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.48/1.06 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.48/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/1.06 thf(zip_derived_cl213, plain, ((((nil) != (sk3))) <= (~ (((nil) = (sk3))))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.48/1.06 thf(zip_derived_cl256, plain, ((((nil) != (sk1))) <= (~ (((nil) = (sk3))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl190, zip_derived_cl213])).
% 0.48/1.06 thf(zip_derived_cl259, plain,
% 0.48/1.06 ((((nil) != (nil))) <= (~ (((nil) = (sk3))) & (((nil) = (sk1))))),
% 0.48/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl256])).
% 0.48/1.06 thf('13', plain, (~ (((nil) = (sk1))) | (((nil) = (sk3)))),
% 0.48/1.06 inference('simplify', [status(thm)], [zip_derived_cl259])).
% 0.48/1.06 thf('14', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2)))) |
% 0.48/1.06 (((nil) = (sk1))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.48/1.06 thf('15', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | (ssItem @ (sk6 @ X0))
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))))),
% 0.48/1.06 inference('sat_resolution*', [status(thm)],
% 0.48/1.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.48/1.06 '12', '13', '14'])).
% 0.48/1.06 thf('16', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0)))) |
% 0.48/1.06 (((nil) = (sk1))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl198])).
% 0.48/1.06 thf('17', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk7 @ X0))))),
% 0.48/1.06 inference('sat_resolution*', [status(thm)],
% 0.48/1.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.48/1.06 '12', '13', '16'])).
% 0.48/1.06 thf('18', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) |
% 0.48/1.06 (((nil) = (sk1))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl199])).
% 0.48/1.06 thf('19', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0))))),
% 0.48/1.06 inference('sat_resolution*', [status(thm)],
% 0.48/1.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.48/1.06 '12', '13', '18'])).
% 0.48/1.06 thf('20', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0)))) |
% 0.48/1.06 (((nil) = (sk1))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.48/1.06 thf('21', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssItem @ (sk8 @ X0))))),
% 0.48/1.06 inference('sat_resolution*', [status(thm)],
% 0.48/1.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.48/1.06 '12', '13', '20'])).
% 0.48/1.06 thf('22', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0)))) |
% 0.48/1.06 (((nil) = (sk1))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl201])).
% 0.48/1.06 thf('23', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (ssList @ (sk9 @ X0))))),
% 0.48/1.06 inference('sat_resolution*', [status(thm)],
% 0.48/1.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.48/1.06 '12', '13', '22'])).
% 0.48/1.06 thf('24', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1)))) |
% 0.48/1.06 (((nil) = (sk1))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl202])).
% 0.48/1.06 thf('25', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | ((app @ (sk9 @ X0) @ (cons @ (sk8 @ X0) @ nil)) = (sk1))))),
% 0.48/1.06 inference('sat_resolution*', [status(thm)],
% 0.48/1.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.48/1.06 '12', '13', '24'])).
% 0.48/1.06 thf('26', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0)))) |
% 0.48/1.06 (((nil) = (sk1))) | ~ ( (strictorderedP @ sk1))),
% 0.48/1.06 inference('split', [status(esa)], [zip_derived_cl203])).
% 0.48/1.06 thf('27', plain,
% 0.48/1.06 ((![X0 : $i]:
% 0.48/1.06 (~ (ssList @ X0)
% 0.48/1.06 | ((app @ sk1 @ X0) != (sk2))
% 0.48/1.06 | (lt @ (sk8 @ X0) @ (sk6 @ X0))))),
% 0.48/1.06 inference('sat_resolution*', [status(thm)],
% 0.48/1.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.48/1.06 '12', '13', '26'])).
% 0.48/1.06 thf(zip_derived_cl554, plain, ($false),
% 0.48/1.06 inference('simpl_trail', [status(thm)],
% 0.48/1.06 [zip_derived_cl504, '15', '17', '19', '21', '23', '25', '27'])).
% 0.48/1.06
% 0.48/1.06 % SZS output end Refutation
% 0.48/1.06
% 0.48/1.06
% 0.48/1.06 % Terminating...
% 2.87/1.25 % Runner terminated.
% 2.89/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------