TSTP Solution File: SWC327-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC327-1 : 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.juTbtzaujT true
% Computer : n032.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 21:30:47 EDT 2023
% Result : Unsatisfiable 0.12s 0.62s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : SWC327-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.juTbtzaujT true
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Aug 28 16:32:00 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in FO mode
% 0.12/0.46 % Total configuration time : 435
% 0.12/0.46 % Estimated wc time : 1092
% 0.12/0.46 % Estimated cpu time (7 cpus) : 156.0
% 0.12/0.53 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.12/0.53 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.12/0.53 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.12/0.53 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.12/0.53 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.12/0.53 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.12/0.54 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.12/0.62 % Solved by fo/fo1_av.sh.
% 0.12/0.62 % done 185 iterations in 0.063s
% 0.12/0.62 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.12/0.62 % SZS output start Refutation
% 0.12/0.62 thf(nil_type, type, nil: $i).
% 0.12/0.62 thf(sk8_type, type, sk8: $i > $i).
% 0.12/0.62 thf(cons_type, type, cons: $i > $i > $i).
% 0.12/0.62 thf(sk2_type, type, sk2: $i).
% 0.12/0.62 thf(equalelemsP_type, type, equalelemsP: $i > $o).
% 0.12/0.62 thf(sk4_type, type, sk4: $i).
% 0.12/0.62 thf(sk7_type, type, sk7: $i > $i).
% 0.12/0.62 thf(ssItem_type, type, ssItem: $i > $o).
% 0.12/0.62 thf(sk5_type, type, sk5: $i).
% 0.12/0.62 thf(sk6_type, type, sk6: $i > $i).
% 0.12/0.62 thf(sk3_type, type, sk3: $i).
% 0.12/0.62 thf(app_type, type, app: $i > $i > $i).
% 0.12/0.62 thf(ssList_type, type, ssList: $i > $o).
% 0.12/0.62 thf(sk1_type, type, sk1: $i).
% 0.12/0.62 thf(co1_12, conjecture,
% 0.12/0.62 (~( ( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssItem @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_0, negated_conjecture,
% 0.12/0.62 (( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssItem @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.12/0.62 thf(zip_derived_cl196, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) = (sk1))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.12/0.62 thf('0', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2)))) |
% 0.12/0.62 (((nil) = (sk1))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.12/0.62 thf(co1_14, conjecture,
% 0.12/0.62 (~( ( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssList @ ( sk7 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_1, negated_conjecture,
% 0.12/0.62 (( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssList @ ( sk7 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.12/0.62 thf(zip_derived_cl198, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) = (sk1))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | (ssList @ (sk7 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.12/0.62 thf('1', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) |
% 0.12/0.62 (((nil) = (sk1))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl198])).
% 0.12/0.62 thf(co1_15, conjecture,
% 0.12/0.62 (~( ( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ( app @ ( cons @ ( sk6 @ A ) @ nil ) @ ( sk7 @ A ) ) = ( A ) ) |
% 0.12/0.62 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_2, negated_conjecture,
% 0.12/0.62 (( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ( app @ ( cons @ ( sk6 @ A ) @ nil ) @ ( sk7 @ A ) ) = ( A ) ) |
% 0.12/0.62 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.12/0.62 thf(zip_derived_cl199, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) = (sk1))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.12/0.62 thf('2', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) |
% 0.12/0.62 (((nil) = (sk1))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl199])).
% 0.12/0.62 thf(co1_17, conjecture,
% 0.12/0.62 (~( ( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ( app @ ( sk8 @ A ) @ ( cons @ ( sk6 @ A ) @ nil ) ) = ( sk1 ) ) |
% 0.12/0.62 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_3, negated_conjecture,
% 0.12/0.62 (( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ( app @ ( sk8 @ A ) @ ( cons @ ( sk6 @ A ) @ nil ) ) = ( sk1 ) ) |
% 0.12/0.62 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.12/0.62 thf(zip_derived_cl201, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) = (sk1))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.12/0.62 thf('3', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))) |
% 0.12/0.62 (((nil) = (sk1))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl201])).
% 0.12/0.62 thf(co1_13, conjecture,
% 0.12/0.62 (~( ( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssItem @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_4, negated_conjecture,
% 0.12/0.62 (( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssItem @ ( sk6 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.12/0.62 thf(zip_derived_cl197, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) != (sk2))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.12/0.62 thf('4', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2)))) |
% 0.12/0.62 ~ (((nil) = (sk2))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl197])).
% 0.12/0.62 thf(co1_21, conjecture,
% 0.12/0.62 (~( ( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ( app @ ( sk8 @ A ) @ ( cons @ ( sk6 @ A ) @ nil ) ) = ( sk1 ) ) |
% 0.12/0.62 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_5, negated_conjecture,
% 0.12/0.62 (( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ( app @ ( sk8 @ A ) @ ( cons @ ( sk6 @ A ) @ nil ) ) = ( sk1 ) ) |
% 0.12/0.62 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_21])).
% 0.12/0.62 thf(zip_derived_cl205, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) != (sk2))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.12/0.62 thf('5', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))) |
% 0.12/0.62 ~ (((nil) = (sk2))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl205])).
% 0.12/0.62 thf(co1_20, conjecture,
% 0.12/0.62 (~( ( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssList @ ( sk8 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_6, negated_conjecture,
% 0.12/0.62 (( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssList @ ( sk8 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_20])).
% 0.12/0.62 thf(zip_derived_cl204, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) != (sk2))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | (ssList @ (sk8 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.12/0.62 thf('6', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) |
% 0.12/0.62 ~ (((nil) = (sk2))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl204])).
% 0.12/0.62 thf(co1_18, conjecture,
% 0.12/0.62 (~( ( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssList @ ( sk7 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_7, negated_conjecture,
% 0.12/0.62 (( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssList @ ( sk7 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.12/0.62 thf(zip_derived_cl202, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) != (sk2))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | (ssList @ (sk7 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.12/0.62 thf('7', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) |
% 0.12/0.62 ~ (((nil) = (sk2))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl202])).
% 0.12/0.62 thf(co1_19, conjecture,
% 0.12/0.62 (~( ( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ( app @ ( cons @ ( sk6 @ A ) @ nil ) @ ( sk7 @ A ) ) = ( A ) ) |
% 0.12/0.62 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_8, negated_conjecture,
% 0.12/0.62 (( ( nil ) != ( sk2 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ( app @ ( cons @ ( sk6 @ A ) @ nil ) @ ( sk7 @ A ) ) = ( A ) ) |
% 0.12/0.62 ( ( app @ sk1 @ A ) != ( sk2 ) ) | ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_19])).
% 0.12/0.62 thf(zip_derived_cl203, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) != (sk2))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.12/0.62 thf('8', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) |
% 0.12/0.62 ~ (((nil) = (sk2))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl203])).
% 0.12/0.62 thf(co1_9, conjecture, (~( equalelemsP @ sk3 ))).
% 0.12/0.62 thf(zf_stmt_9, negated_conjecture, (equalelemsP @ sk3),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.12/0.62 thf(zip_derived_cl193, plain, ( (equalelemsP @ sk3)),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.12/0.62 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.12/0.62 thf(zf_stmt_10, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.12/0.62 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.12/0.62 thf(zip_derived_cl254, plain, ( (equalelemsP @ sk1)),
% 0.12/0.62 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl190])).
% 0.12/0.62 thf(zip_derived_cl211, plain,
% 0.12/0.62 ((~ (equalelemsP @ sk1)) <= (~ ( (equalelemsP @ sk1)))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.12/0.62 thf('9', plain, (( (equalelemsP @ sk1))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl211])).
% 0.12/0.62 thf(co1_11, conjecture,
% 0.12/0.62 (~( ( ( nil ) != ( sk3 ) ) | ( ( nil ) = ( sk4 ) ) ))).
% 0.12/0.62 thf(zf_stmt_11, negated_conjecture,
% 0.12/0.62 (( ( nil ) != ( sk3 ) ) | ( ( nil ) = ( sk4 ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.12/0.62 thf(zip_derived_cl195, plain, ((((nil) != (sk3)) | ((nil) = (sk4)))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.12/0.62 thf(zip_derived_cl208, plain, ((((nil) = (sk4))) <= ((((nil) = (sk4))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.12/0.62 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.12/0.62 thf(zf_stmt_12, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.12/0.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.12/0.62 thf(zip_derived_cl241, plain, ((((sk2) = (nil))) <= ((((nil) = (sk4))))),
% 0.12/0.62 inference('s_sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl189])).
% 0.12/0.62 thf(zip_derived_cl215, plain, ((((nil) != (sk2))) <= (~ (((nil) = (sk2))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl197])).
% 0.12/0.62 thf(zip_derived_cl246, plain,
% 0.12/0.62 ((((nil) != (nil))) <= (~ (((nil) = (sk2))) & (((nil) = (sk4))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl241, zip_derived_cl215])).
% 0.12/0.62 thf('10', plain, (~ (((nil) = (sk4))) | (((nil) = (sk2)))),
% 0.12/0.62 inference('simplify', [status(thm)], [zip_derived_cl246])).
% 0.12/0.62 thf('11', plain, (~ (((nil) = (sk3))) | (((nil) = (sk4)))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.12/0.62 thf(zip_derived_cl212, plain, ((((nil) = (sk1))) <= ((((nil) = (sk1))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.12/0.62 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.12/0.62 thf(zip_derived_cl209, plain, ((((nil) != (sk3))) <= (~ (((nil) = (sk3))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.12/0.62 thf(zip_derived_cl240, plain, ((((nil) != (sk1))) <= (~ (((nil) = (sk3))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl190, zip_derived_cl209])).
% 0.12/0.62 thf(zip_derived_cl243, plain,
% 0.12/0.62 ((((nil) != (nil))) <= (~ (((nil) = (sk3))) & (((nil) = (sk1))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl240])).
% 0.12/0.62 thf('12', plain, (~ (((nil) = (sk1))) | (((nil) = (sk3)))),
% 0.12/0.62 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 0.12/0.62 thf(co1_16, conjecture,
% 0.12/0.62 (~( ( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssList @ ( sk8 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_13, negated_conjecture,
% 0.12/0.62 (( ( nil ) = ( sk1 ) ) | ( ~( equalelemsP @ sk1 ) ) |
% 0.12/0.62 ( ssList @ ( sk8 @ A ) ) | ( ( app @ sk1 @ A ) != ( sk2 ) ) |
% 0.12/0.62 ( ~( ssList @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.12/0.62 thf(zip_derived_cl200, plain,
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (((nil) = (sk1))
% 0.12/0.62 | ~ (equalelemsP @ sk1)
% 0.12/0.62 | (ssList @ (sk8 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.12/0.62 thf('13', plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) |
% 0.12/0.62 (((nil) = (sk1))) | ~ ( (equalelemsP @ sk1))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.12/0.62 thf(co1_8, conjecture, (( app @ sk3 @ sk5 ) != ( sk4 ))).
% 0.12/0.62 thf(zf_stmt_14, negated_conjecture, (( app @ sk3 @ sk5 ) = ( sk4 )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.12/0.62 thf(zip_derived_cl192, plain, (((app @ sk3 @ sk5) = (sk4))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.12/0.62 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.12/0.62 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.12/0.62 thf(zip_derived_cl250, plain, (((app @ sk1 @ sk5) = (sk2))),
% 0.12/0.62 inference('demod', [status(thm)],
% 0.12/0.62 [zip_derived_cl192, zip_derived_cl190, zip_derived_cl189])).
% 0.12/0.62 thf(zip_derived_cl210, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2)))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.12/0.62 thf(zip_derived_cl216, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl198])).
% 0.12/0.62 thf(zip_derived_cl222, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.12/0.62 thf(zip_derived_cl219, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl199])).
% 0.12/0.62 thf(zip_derived_cl225, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('split', [status(esa)], [zip_derived_cl201])).
% 0.12/0.62 thf(co1_10, conjecture,
% 0.12/0.62 (~( ( ( app @ C @ ( cons @ A @ nil ) ) != ( sk3 ) ) |
% 0.12/0.62 ( ~( ssList @ C ) ) |
% 0.12/0.62 ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk5 ) ) |
% 0.12/0.62 ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.12/0.62 thf(zf_stmt_15, negated_conjecture,
% 0.12/0.62 (( ( app @ C @ ( cons @ A @ nil ) ) != ( sk3 ) ) | ( ~( ssList @ C ) ) |
% 0.12/0.62 ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk5 ) ) | ( ~( ssList @ B ) ) |
% 0.12/0.62 ( ~( ssItem @ A ) )),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.12/0.62 thf(zip_derived_cl194, plain,
% 0.12/0.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.12/0.62 (((app @ X0 @ (cons @ X1 @ nil)) != (sk3))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ (cons @ X1 @ nil) @ X2) != (sk5))
% 0.12/0.62 | ~ (ssList @ X2)
% 0.12/0.62 | ~ (ssItem @ X1))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.12/0.62 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.12/0.62 thf(zip_derived_cl319, plain,
% 0.12/0.62 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.12/0.62 (((app @ X0 @ (cons @ X1 @ nil)) != (sk1))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ (cons @ X1 @ nil) @ X2) != (sk5))
% 0.12/0.62 | ~ (ssList @ X2)
% 0.12/0.62 | ~ (ssItem @ X1))),
% 0.12/0.62 inference('demod', [status(thm)], [zip_derived_cl194, zip_derived_cl190])).
% 0.12/0.62 thf(zip_derived_cl321, plain,
% 0.12/0.62 ((![X0 : $i, X1 : $i]:
% 0.12/0.62 (((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((sk1) != (sk1))
% 0.12/0.62 | ~ (ssList @ (sk8 @ X0))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ X1) != (sk5))
% 0.12/0.62 | ~ (ssList @ X1)
% 0.12/0.62 | ~ (ssItem @ (sk6 @ X0))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl319])).
% 0.12/0.62 thf(zip_derived_cl323, plain,
% 0.12/0.62 ((![X0 : $i, X1 : $i]:
% 0.12/0.62 (~ (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ~ (ssList @ X1)
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ X1) != (sk5))
% 0.12/0.62 | ~ (ssList @ (sk8 @ X0))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('simplify', [status(thm)], [zip_derived_cl321])).
% 0.12/0.62 thf(zip_derived_cl362, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ~ (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ~ (ssList @ (sk7 @ X0))
% 0.12/0.62 | ((X0) != (sk5))
% 0.12/0.62 | ~ (ssList @ (sk8 @ X0))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl323])).
% 0.12/0.62 thf(zip_derived_cl364, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ (sk8 @ X0))
% 0.12/0.62 | ((X0) != (sk5))
% 0.12/0.62 | ~ (ssList @ (sk7 @ X0))
% 0.12/0.62 | ~ (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('simplify', [status(thm)], [zip_derived_cl362])).
% 0.12/0.62 thf(zip_derived_cl372, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((X0) != (sk5))
% 0.12/0.62 | ~ (ssList @ (sk7 @ X0))
% 0.12/0.62 | ~ (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl364])).
% 0.12/0.62 thf(zip_derived_cl373, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (~ (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ~ (ssList @ (sk7 @ X0))
% 0.12/0.62 | ((X0) != (sk5))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('simplify', [status(thm)], [zip_derived_cl372])).
% 0.12/0.62 thf(zip_derived_cl382, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ~ (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((X0) != (sk5))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl373])).
% 0.12/0.62 thf(zip_derived_cl383, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (((X0) != (sk5))
% 0.12/0.62 | ~ (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('simplify', [status(thm)], [zip_derived_cl382])).
% 0.12/0.62 thf(zip_derived_cl388, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((X0) != (sk5))
% 0.12/0.62 | ~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl383])).
% 0.12/0.62 thf(zip_derived_cl389, plain,
% 0.12/0.62 ((![X0 : $i]:
% 0.12/0.62 (((X0) != (sk5)) | ~ (ssList @ X0) | ((app @ sk1 @ X0) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('simplify', [status(thm)], [zip_derived_cl388])).
% 0.12/0.62 thf(zip_derived_cl429, plain,
% 0.12/0.62 (((((sk5) != (sk5)) | ~ (ssList @ sk5) | ((sk2) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('s_sup-', [status(thm)], [zip_derived_cl250, zip_derived_cl389])).
% 0.12/0.62 thf(co1_7, conjecture, (~( ssList @ sk5 ))).
% 0.12/0.62 thf(zf_stmt_16, negated_conjecture, (ssList @ sk5),
% 0.12/0.62 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.12/0.62 thf(zip_derived_cl191, plain, ( (ssList @ sk5)),
% 0.12/0.62 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.12/0.62 thf(zip_derived_cl435, plain,
% 0.12/0.62 (((((sk5) != (sk5)) | ((sk2) != (sk2))))
% 0.12/0.62 <= ((![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) &
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))))),
% 0.12/0.62 inference('demod', [status(thm)], [zip_derived_cl429, zip_derived_cl191])).
% 0.12/0.62 thf('14', plain,
% 0.12/0.62 (~
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk8 @ X0)))) |
% 0.12/0.62 ~
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (sk8 @ X0) @ (cons @ (sk6 @ X0) @ nil)) = (sk1)))) |
% 0.12/0.62 ~
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | ((app @ (cons @ (sk6 @ X0) @ nil) @ (sk7 @ X0)) = (X0)))) |
% 0.12/0.62 ~
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))
% 0.12/0.62 | (ssList @ (sk7 @ X0)))) |
% 0.12/0.62 ~
% 0.12/0.62 (![X0 : $i]:
% 0.12/0.62 (~ (ssList @ X0)
% 0.12/0.62 | (ssItem @ (sk6 @ X0))
% 0.12/0.62 | ((app @ sk1 @ X0) != (sk2))))),
% 0.12/0.62 inference('simplify', [status(thm)], [zip_derived_cl435])).
% 0.12/0.62 thf(zip_derived_cl439, plain, ($false),
% 0.12/0.62 inference('sat_resolution*', [status(thm)],
% 0.12/0.62 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.12/0.62 '12', '13', '14'])).
% 0.12/0.62
% 0.12/0.62 % SZS output end Refutation
% 0.12/0.62
% 0.12/0.62
% 0.12/0.62 % Terminating...
% 1.09/0.67 % Runner terminated.
% 1.09/0.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------