TSTP Solution File: SWC002-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC002-1 : 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.0lTP2iKLhH true
% Computer : n028.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 21:28:23 EDT 2023
% Result : Unsatisfiable 0.55s 0.80s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC002-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0lTP2iKLhH true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 18:06:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.47/0.66 % Total configuration time : 435
% 0.47/0.66 % Estimated wc time : 1092
% 0.47/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.80 % Solved by fo/fo1_av.sh.
% 0.55/0.80 % done 82 iterations in 0.050s
% 0.55/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.80 % SZS output start Refutation
% 0.55/0.80 thf(nil_type, type, nil: $i).
% 0.55/0.80 thf(sk5_type, type, sk5: $i > $i > $i > $i).
% 0.55/0.80 thf(geq_type, type, geq: $i > $i > $o).
% 0.55/0.80 thf(cons_type, type, cons: $i > $i > $i).
% 0.55/0.80 thf(sk2_type, type, sk2: $i).
% 0.55/0.80 thf(sk4_type, type, sk4: $i).
% 0.55/0.80 thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 0.55/0.80 thf(memberP_type, type, memberP: $i > $i > $o).
% 0.55/0.80 thf(sk6_type, type, sk6: $i).
% 0.55/0.80 thf(ssItem_type, type, ssItem: $i > $o).
% 0.55/0.80 thf(sk3_type, type, sk3: $i).
% 0.55/0.80 thf(sk8_type, type, sk8: $i).
% 0.55/0.80 thf(neq_type, type, neq: $i > $i > $o).
% 0.55/0.80 thf(app_type, type, app: $i > $i > $i).
% 0.55/0.80 thf(ssList_type, type, ssList: $i > $o).
% 0.55/0.80 thf(sk7_type, type, sk7: $i).
% 0.55/0.80 thf(sk1_type, type, sk1: $i).
% 0.55/0.80 thf(co1_23, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk6 ) ))).
% 0.55/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk6 )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_23])).
% 0.55/0.80 thf(zip_derived_cl207, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk6))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.80 thf('0', plain, (~ ( (neq @ sk4 @ nil)) | ( (ssItem @ sk6))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl207])).
% 0.55/0.80 thf(co1_11, conjecture,
% 0.55/0.80 (~( ( neq @ sk2 @ nil ) | ( geq @ ( sk5 @ C @ B @ A ) @ A ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_1, negated_conjecture,
% 0.55/0.80 (( neq @ sk2 @ nil ) | ( geq @ ( sk5 @ C @ B @ A ) @ A ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.55/0.80 thf(zip_derived_cl195, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 ( (neq @ sk2 @ nil)
% 0.55/0.80 | (geq @ (sk5 @ X0 @ X1 @ X2) @ X2)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ X2))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.80 thf('1', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (geq @ (sk5 @ X0 @ X1 @ X2) @ X2))) |
% 0.55/0.80 ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.55/0.80 thf(co1_18, conjecture,
% 0.55/0.80 (~( ( neq @ sk2 @ nil ) | ( ~( geq @ A @ sk6 ) ) |
% 0.55/0.80 ( ~( memberP @ sk4 @ A ) ) | ( ( sk6 ) = ( A ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_2, negated_conjecture,
% 0.55/0.80 (( neq @ sk2 @ nil ) | ( ~( geq @ A @ sk6 ) ) |
% 0.55/0.80 ( ~( memberP @ sk4 @ A ) ) | ( ( sk6 ) = ( A ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.55/0.80 thf(zip_derived_cl202, plain,
% 0.55/0.80 (![X0 : $i]:
% 0.55/0.80 ( (neq @ sk2 @ nil)
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (ssItem @ X0))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.80 thf('2', plain,
% 0.55/0.80 ((![X0 : $i]:
% 0.55/0.80 (~ (ssItem @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0))) |
% 0.55/0.80 ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl202])).
% 0.55/0.80 thf(co1_21, conjecture,
% 0.55/0.80 (~( ( ~( neq @ sk4 @ nil ) ) | ( geq @ ( sk5 @ C @ B @ A ) @ A ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_3, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( geq @ ( sk5 @ C @ B @ A ) @ A ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_21])).
% 0.55/0.80 thf(zip_derived_cl205, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (neq @ sk4 @ nil)
% 0.55/0.80 | (geq @ (sk5 @ X0 @ X1 @ X2) @ X2)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ X2))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf('3', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (geq @ (sk5 @ X0 @ X1 @ X2) @ X2))) |
% 0.55/0.80 ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl205])).
% 0.55/0.80 thf(co1_28, conjecture,
% 0.55/0.80 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( geq @ A @ sk6 ) ) |
% 0.55/0.80 ( ~( memberP @ sk4 @ A ) ) | ( ( sk6 ) = ( A ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_4, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( ~( geq @ A @ sk6 ) ) |
% 0.55/0.80 ( ~( memberP @ sk4 @ A ) ) | ( ( sk6 ) = ( A ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_28])).
% 0.55/0.80 thf(zip_derived_cl212, plain,
% 0.55/0.80 (![X0 : $i]:
% 0.55/0.80 (~ (neq @ sk4 @ nil)
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (ssItem @ X0))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.80 thf('4', plain,
% 0.55/0.80 ((![X0 : $i]:
% 0.55/0.80 (~ (ssItem @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0))) |
% 0.55/0.80 ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl212])).
% 0.55/0.80 thf(co1_9, conjecture,
% 0.55/0.80 (~( ( neq @ sk2 @ nil ) | ( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_5, negated_conjecture,
% 0.55/0.80 (( neq @ sk2 @ nil ) | ( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.55/0.80 thf(zip_derived_cl193, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 ( (neq @ sk2 @ nil)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ X2))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.80 thf('5', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) |
% 0.55/0.80 ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl193])).
% 0.55/0.80 thf(co1_10, conjecture,
% 0.55/0.80 (~( ( neq @ sk2 @ nil ) | ( memberP @ sk2 @ ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_6, negated_conjecture,
% 0.55/0.80 (( neq @ sk2 @ nil ) | ( memberP @ sk2 @ ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.55/0.80 thf(zip_derived_cl194, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 ( (neq @ sk2 @ nil)
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ X2))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.55/0.80 thf('6', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))) |
% 0.55/0.80 ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl194])).
% 0.55/0.80 thf(co1_12, conjecture,
% 0.55/0.80 (~( ( neq @ sk2 @ nil ) | ( ( A ) != ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_7, negated_conjecture,
% 0.55/0.80 (( neq @ sk2 @ nil ) | ( ( A ) != ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.55/0.80 thf(zip_derived_cl196, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 ( (neq @ sk2 @ nil)
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ X2))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.80 thf('7', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) |
% 0.55/0.80 ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.55/0.80 thf(co1_14, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssList @ sk7 ) ))).
% 0.55/0.80 thf(zf_stmt_8, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssList @ sk7 )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.55/0.80 thf(zip_derived_cl198, plain, (( (neq @ sk2 @ nil) | (ssList @ sk7))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.55/0.80 thf('8', plain, (( (ssList @ sk7)) | ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl198])).
% 0.55/0.80 thf(co1_15, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssList @ sk8 ) ))).
% 0.55/0.80 thf(zf_stmt_9, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssList @ sk8 )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.55/0.80 thf(zip_derived_cl199, plain, (( (neq @ sk2 @ nil) | (ssList @ sk8))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.55/0.80 thf('9', plain, (( (ssList @ sk8)) | ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl199])).
% 0.55/0.80 thf(co1_16, conjecture,
% 0.55/0.80 (~( ( neq @ sk2 @ nil ) |
% 0.55/0.80 ( ( app @ ( app @ sk7 @ ( cons @ sk6 @ nil ) ) @ sk8 ) = ( sk4 ) ) ))).
% 0.55/0.80 thf(zf_stmt_10, negated_conjecture,
% 0.55/0.80 (( neq @ sk2 @ nil ) |
% 0.55/0.80 ( ( app @ ( app @ sk7 @ ( cons @ sk6 @ nil ) ) @ sk8 ) = ( sk4 ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.55/0.80 thf(zip_derived_cl200, plain,
% 0.55/0.80 (( (neq @ sk2 @ nil)
% 0.55/0.80 | ((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.80 thf('10', plain,
% 0.55/0.80 ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))) |
% 0.55/0.80 ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.55/0.80 thf(co1_17, conjecture,
% 0.55/0.80 (~( ( neq @ sk2 @ nil ) | ( ( app @ sk7 @ sk8 ) = ( sk3 ) ) ))).
% 0.55/0.80 thf(zf_stmt_11, negated_conjecture,
% 0.55/0.80 (( neq @ sk2 @ nil ) | ( ( app @ sk7 @ sk8 ) = ( sk3 ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.55/0.80 thf(zip_derived_cl201, plain,
% 0.55/0.80 (( (neq @ sk2 @ nil) | ((app @ sk7 @ sk8) = (sk3)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.55/0.80 thf('11', plain, ((((app @ sk7 @ sk8) = (sk3))) | ( (neq @ sk2 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl201])).
% 0.55/0.80 thf(zip_derived_cl217, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl193])).
% 0.55/0.80 thf(zip_derived_cl219, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl194])).
% 0.55/0.80 thf(zip_derived_cl221, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (geq @ (sk5 @ X0 @ X1 @ X2) @ X2)))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (geq @ (sk5 @ X0 @ X1 @ X2) @ X2))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.55/0.80 thf(zip_derived_cl235, plain,
% 0.55/0.80 ((![X0 : $i]:
% 0.55/0.80 (~ (ssItem @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0)))
% 0.55/0.80 <= ((![X0 : $i]:
% 0.55/0.80 (~ (ssItem @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl202])).
% 0.55/0.80 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.55/0.80 thf(zf_stmt_12, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.55/0.80 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.55/0.80 thf(zip_derived_cl272, plain,
% 0.55/0.80 ((![X0 : $i]:
% 0.55/0.80 (~ (ssItem @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk2 @ X0)))
% 0.55/0.80 <= ((![X0 : $i]:
% 0.55/0.80 (~ (ssItem @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0))))),
% 0.55/0.80 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl189])).
% 0.55/0.80 thf(zip_derived_cl274, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ~ (ssItem @ sk6)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (memberP @ sk2 @ (sk5 @ X1 @ X0 @ sk6))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (geq @ (sk5 @ X0 @ X1 @ X2) @ X2))) &
% 0.55/0.80 (![X0 : $i]:
% 0.55/0.80 (~ (ssItem @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl272])).
% 0.55/0.80 thf(zip_derived_cl276, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (memberP @ sk2 @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (memberP @ sk2 @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl274])).
% 0.55/0.80 thf(zip_derived_cl279, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ~ (ssItem @ sk6)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (memberP @ sk2 @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl276])).
% 0.55/0.80 thf(zip_derived_cl280, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssItem @ sk6)
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (memberP @ sk2 @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('simplify', [status(thm)], [zip_derived_cl279])).
% 0.55/0.80 thf(zip_derived_cl286, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl280])).
% 0.55/0.80 thf(zip_derived_cl291, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ~ (ssItem @ sk6)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl217, zip_derived_cl286])).
% 0.55/0.80 thf(zip_derived_cl292, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssItem @ sk6)
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('simplify', [status(thm)], [zip_derived_cl291])).
% 0.55/0.80 thf('12', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))) |
% 0.55/0.80 ~
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))) |
% 0.55/0.80 ~ ( (ssItem @ sk6)) |
% 0.55/0.80 ~
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl292])).
% 0.55/0.80 thf(zip_derived_cl231, plain,
% 0.55/0.80 ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4)))
% 0.55/0.80 <= ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.55/0.80 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.55/0.80 thf(zip_derived_cl268, plain,
% 0.55/0.80 ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk2)))
% 0.55/0.80 <= ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))))),
% 0.55/0.80 inference('demod', [status(thm)], [zip_derived_cl231, zip_derived_cl189])).
% 0.55/0.80 thf(zip_derived_cl286, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl280])).
% 0.55/0.80 thf(clause72, axiom,
% 0.55/0.80 (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 0.55/0.80 thf(zip_derived_cl71, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0) | (duplicatefreeP @ X0) | (ssItem @ X1))),
% 0.55/0.80 inference('cnf', [status(esa)], [clause72])).
% 0.55/0.80 thf(zip_derived_cl213, plain,
% 0.55/0.80 ((![X1 : $i]: (ssItem @ X1)) <= ((![X1 : $i]: (ssItem @ X1)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.55/0.80 thf(zip_derived_cl288, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl286, zip_derived_cl213])).
% 0.55/0.80 thf(zip_derived_cl219, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl194])).
% 0.55/0.80 thf(zip_derived_cl295, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssItem @ sk6)
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ sk6)))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl288, zip_derived_cl219])).
% 0.55/0.80 thf(zip_derived_cl213, plain,
% 0.55/0.80 ((![X1 : $i]: (ssItem @ X1)) <= ((![X1 : $i]: (ssItem @ X1)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.55/0.80 thf(zip_derived_cl302, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ sk6)))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('demod', [status(thm)], [zip_derived_cl295, zip_derived_cl213])).
% 0.55/0.80 thf(zip_derived_cl303, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 ( (memberP @ sk2 @ sk6)
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('simplify', [status(thm)], [zip_derived_cl302])).
% 0.55/0.80 thf(zip_derived_cl339, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl303])).
% 0.55/0.80 thf(zip_derived_cl341, plain,
% 0.55/0.80 (((~ (ssList @ sk7)
% 0.55/0.80 | ~ (ssList @ sk8)
% 0.55/0.80 | ((app @ sk7 @ sk8) != (sk1))
% 0.55/0.80 | ((sk2) != (sk2))))
% 0.55/0.80 <= ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl268, zip_derived_cl339])).
% 0.55/0.80 thf(zip_derived_cl342, plain,
% 0.55/0.80 (((((app @ sk7 @ sk8) != (sk1)) | ~ (ssList @ sk8) | ~ (ssList @ sk7)))
% 0.55/0.80 <= ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('simplify', [status(thm)], [zip_derived_cl341])).
% 0.55/0.80 thf('13', plain,
% 0.55/0.80 (~
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))) |
% 0.55/0.80 ~ (((app @ sk7 @ sk8) = (sk1))) |
% 0.55/0.80 ~ (((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))) |
% 0.55/0.80 ~ ( (ssList @ sk8)) | ~ ( (ssList @ sk7))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl342])).
% 0.55/0.80 thf('14', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))) |
% 0.55/0.80 ~
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))) |
% 0.55/0.80 ~
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (memberP @ sk2 @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))) |
% 0.55/0.80 ~ ( (ssItem @ sk6))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl280])).
% 0.55/0.80 thf(zip_derived_cl233, plain,
% 0.55/0.80 ((((app @ sk7 @ sk8) = (sk3))) <= ((((app @ sk7 @ sk8) = (sk3))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl201])).
% 0.55/0.80 thf(zip_derived_cl268, plain,
% 0.55/0.80 ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk2)))
% 0.55/0.80 <= ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))))),
% 0.55/0.80 inference('demod', [status(thm)], [zip_derived_cl231, zip_derived_cl189])).
% 0.55/0.80 thf(zip_derived_cl288, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl286, zip_derived_cl213])).
% 0.55/0.80 thf(zip_derived_cl223, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.55/0.80 thf(zip_derived_cl297, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) != (sk6))
% 0.55/0.80 | ~ (ssItem @ sk6)
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl223])).
% 0.55/0.80 thf(zip_derived_cl213, plain,
% 0.55/0.80 ((![X1 : $i]: (ssItem @ X1)) <= ((![X1 : $i]: (ssItem @ X1)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.55/0.80 thf(zip_derived_cl306, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) != (sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl213])).
% 0.55/0.80 thf(zip_derived_cl307, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('simplify', [status(thm)], [zip_derived_cl306])).
% 0.55/0.80 thf(zip_derived_cl312, plain,
% 0.55/0.80 (((((sk2) != (sk2))
% 0.55/0.80 | ((app @ sk7 @ sk8) != (sk1))
% 0.55/0.80 | ~ (ssList @ sk8)
% 0.55/0.80 | ~ (ssList @ sk7)))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl268, zip_derived_cl307])).
% 0.55/0.80 thf(zip_derived_cl313, plain,
% 0.55/0.80 (((~ (ssList @ sk7) | ~ (ssList @ sk8) | ((app @ sk7 @ sk8) != (sk1))))
% 0.55/0.80 <= ((![X1 : $i]: (ssItem @ X1)) &
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('simplify', [status(thm)], [zip_derived_cl312])).
% 0.55/0.80 thf(zip_derived_cl314, plain,
% 0.55/0.80 ((((app @ sk7 @ sk8) != (sk1))) <= (~ (((app @ sk7 @ sk8) = (sk1))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl313])).
% 0.55/0.80 thf(zip_derived_cl317, plain,
% 0.55/0.80 ((((sk3) != (sk1)))
% 0.55/0.80 <= (~ (((app @ sk7 @ sk8) = (sk1))) & (((app @ sk7 @ sk8) = (sk3))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl233, zip_derived_cl314])).
% 0.55/0.80 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.55/0.80 thf(zf_stmt_13, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.55/0.80 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.55/0.80 thf(zip_derived_cl318, plain,
% 0.55/0.80 ((((sk1) != (sk1)))
% 0.55/0.80 <= (~ (((app @ sk7 @ sk8) = (sk1))) & (((app @ sk7 @ sk8) = (sk3))))),
% 0.55/0.80 inference('demod', [status(thm)], [zip_derived_cl317, zip_derived_cl190])).
% 0.55/0.80 thf('15', plain,
% 0.55/0.80 ((((app @ sk7 @ sk8) = (sk1))) | ~ (((app @ sk7 @ sk8) = (sk3)))),
% 0.55/0.80 inference('simplify', [status(thm)], [zip_derived_cl318])).
% 0.55/0.80 thf(co1_19, conjecture,
% 0.55/0.80 (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_14, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_19])).
% 0.55/0.80 thf(zip_derived_cl203, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (neq @ sk4 @ nil)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ X2))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.55/0.80 thf('16', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | (ssItem @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) |
% 0.55/0.80 ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl203])).
% 0.55/0.80 thf(co1_20, conjecture,
% 0.55/0.80 (~( ( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk2 @ ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_15, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( memberP @ sk2 @ ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_20])).
% 0.55/0.80 thf(zip_derived_cl204, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (neq @ sk4 @ nil)
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ X2))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.55/0.80 thf('17', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (memberP @ sk2 @ (sk5 @ X0 @ X1 @ X2)))) |
% 0.55/0.80 ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl204])).
% 0.55/0.80 thf(co1_22, conjecture,
% 0.55/0.80 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( A ) != ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.55/0.80 thf(zf_stmt_16, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( ( A ) != ( sk5 @ C @ B @ A ) ) |
% 0.55/0.80 ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.55/0.80 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.55/0.80 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_22])).
% 0.55/0.80 thf(zip_derived_cl206, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (neq @ sk4 @ nil)
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssItem @ X2))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.55/0.80 thf('18', plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) |
% 0.55/0.80 ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl206])).
% 0.55/0.80 thf(co1_24, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk7 ) ))).
% 0.55/0.80 thf(zf_stmt_17, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk7 )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_24])).
% 0.55/0.80 thf(zip_derived_cl208, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk7))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.55/0.80 thf('19', plain, (( (ssList @ sk7)) | ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl208])).
% 0.55/0.80 thf(co1_25, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk8 ) ))).
% 0.55/0.80 thf(zf_stmt_18, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk8 )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_25])).
% 0.55/0.80 thf(zip_derived_cl209, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk8))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.55/0.80 thf('20', plain, (( (ssList @ sk8)) | ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl209])).
% 0.55/0.80 thf(co1_26, conjecture,
% 0.55/0.80 (~( ( ~( neq @ sk4 @ nil ) ) |
% 0.55/0.80 ( ( app @ ( app @ sk7 @ ( cons @ sk6 @ nil ) ) @ sk8 ) = ( sk4 ) ) ))).
% 0.55/0.80 thf(zf_stmt_19, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) |
% 0.55/0.80 ( ( app @ ( app @ sk7 @ ( cons @ sk6 @ nil ) ) @ sk8 ) = ( sk4 ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_26])).
% 0.55/0.80 thf(zip_derived_cl210, plain,
% 0.55/0.80 ((~ (neq @ sk4 @ nil)
% 0.55/0.80 | ((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.55/0.80 thf('21', plain,
% 0.55/0.80 ((((app @ (app @ sk7 @ (cons @ sk6 @ nil)) @ sk8) = (sk4))) |
% 0.55/0.80 ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl210])).
% 0.55/0.80 thf(co1_27, conjecture,
% 0.55/0.80 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( app @ sk7 @ sk8 ) = ( sk3 ) ) ))).
% 0.55/0.80 thf(zf_stmt_20, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( ( app @ sk7 @ sk8 ) = ( sk3 ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_27])).
% 0.55/0.80 thf(zip_derived_cl211, plain,
% 0.55/0.80 ((~ (neq @ sk4 @ nil) | ((app @ sk7 @ sk8) = (sk3)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.55/0.80 thf('22', plain, ((((app @ sk7 @ sk8) = (sk3))) | ~ ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl211])).
% 0.55/0.80 thf(zip_derived_cl324, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl292])).
% 0.55/0.80 thf(zip_derived_cl223, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.55/0.80 thf(zip_derived_cl329, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) != (sk6))
% 0.55/0.80 | ~ (ssItem @ sk6)
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl324, zip_derived_cl223])).
% 0.55/0.80 thf(zip_derived_cl335, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssItem @ sk6)
% 0.55/0.80 | ~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2)))) &
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))))),
% 0.55/0.80 inference('simplify', [status(thm)], [zip_derived_cl329])).
% 0.55/0.80 thf('23', plain,
% 0.55/0.80 (~
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))) |
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2)))) |
% 0.55/0.80 ~ ( (ssItem @ sk6)) |
% 0.55/0.80 ~
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ((X2) != (sk5 @ X0 @ X1 @ X2))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl335])).
% 0.55/0.80 thf('24', plain,
% 0.55/0.80 (~
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X1 @ X0) != (sk1))
% 0.55/0.80 | ~ (ssItem @ X2)
% 0.55/0.80 | ((app @ (app @ X1 @ (cons @ X2 @ nil)) @ X0) != (sk2))
% 0.55/0.80 | (geq @ (sk5 @ X0 @ X1 @ X2) @ X2))) |
% 0.55/0.80 ~
% 0.55/0.80 (![X0 : $i]:
% 0.55/0.80 (~ (ssItem @ X0)
% 0.55/0.80 | ((sk6) = (X0))
% 0.55/0.80 | ~ (geq @ X0 @ sk6)
% 0.55/0.80 | ~ (memberP @ sk4 @ X0))) |
% 0.55/0.80 ~ ( (ssItem @ sk6)) |
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (ssList @ X0)
% 0.55/0.80 | ~ (ssList @ X1)
% 0.55/0.80 | ((app @ X0 @ X1) != (sk1))
% 0.55/0.80 | ((sk6) = (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (ssItem @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ~ (memberP @ sk2 @ (sk5 @ X1 @ X0 @ sk6))
% 0.55/0.80 | ((app @ (app @ X0 @ (cons @ sk6 @ nil)) @ X1) != (sk2))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl274])).
% 0.55/0.80 thf(co1_13, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssItem @ sk6 ) ))).
% 0.55/0.80 thf(zf_stmt_21, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssItem @ sk6 )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.55/0.80 thf(zip_derived_cl197, plain, (( (neq @ sk2 @ nil) | (ssItem @ sk6))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.55/0.80 thf('25', plain, (( (neq @ sk2 @ nil)) | ( (ssItem @ sk6))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl197])).
% 0.55/0.80 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( neq @ sk2 @ nil ) ))).
% 0.55/0.80 thf(zf_stmt_22, negated_conjecture,
% 0.55/0.80 (( ~( neq @ sk4 @ nil ) ) | ( neq @ sk2 @ nil )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.55/0.80 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (neq @ sk2 @ nil))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.55/0.80 thf(zip_derived_cl216, plain,
% 0.55/0.80 (( (neq @ sk2 @ nil)) <= (( (neq @ sk2 @ nil)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl192])).
% 0.55/0.80 thf(zip_derived_cl215, plain,
% 0.55/0.80 ((~ (neq @ sk4 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl192])).
% 0.55/0.80 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.55/0.80 thf(zip_derived_cl257, plain,
% 0.55/0.80 ((~ (neq @ sk2 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 0.55/0.80 inference('demod', [status(thm)], [zip_derived_cl215, zip_derived_cl189])).
% 0.55/0.80 thf('26', plain, (~ ( (neq @ sk2 @ nil)) | ( (neq @ sk4 @ nil))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl257])).
% 0.55/0.80 thf(zip_derived_cl351, plain, ($false),
% 0.55/0.80 inference('sat_resolution*', [status(thm)],
% 0.55/0.80 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.55/0.80 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 0.55/0.80 '22', '23', '24', '25', '26'])).
% 0.55/0.80
% 0.55/0.80 % SZS output end Refutation
% 0.55/0.80
% 0.55/0.80
% 0.55/0.80 % Terminating...
% 0.58/0.88 % Runner terminated.
% 0.58/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------