TSTP Solution File: SWC003-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mtgxs0h1QD true
% Computer : n013.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 21:28:24 EDT 2023
% Result : Unsatisfiable 1.31s 0.90s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mtgxs0h1QD true
% 0.13/0.34 % Computer : n013.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 14:27:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.65 % Total configuration time : 435
% 0.19/0.65 % Estimated wc time : 1092
% 0.19/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.99/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.90 % Solved by fo/fo1_av.sh.
% 1.31/0.90 % done 605 iterations in 0.148s
% 1.31/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.90 % SZS output start Refutation
% 1.31/0.90 thf(nil_type, type, nil: $i).
% 1.31/0.90 thf(cons_type, type, cons: $i > $i > $i).
% 1.31/0.90 thf(sk6_type, type, sk6: $i).
% 1.31/0.90 thf(sk2_type, type, sk2: $i).
% 1.31/0.90 thf(sk5_type, type, sk5: $i).
% 1.31/0.90 thf(sk4_type, type, sk4: $i).
% 1.31/0.90 thf(ssItem_type, type, ssItem: $i > $o).
% 1.31/0.90 thf(sk7_type, type, sk7: $i).
% 1.31/0.90 thf(sk3_type, type, sk3: $i).
% 1.31/0.90 thf(neq_type, type, neq: $i > $i > $o).
% 1.31/0.90 thf(app_type, type, app: $i > $i > $i).
% 1.31/0.90 thf(ssList_type, type, ssList: $i > $o).
% 1.31/0.90 thf(sk1_type, type, sk1: $i).
% 1.31/0.90 thf(co1_13, conjecture,
% 1.31/0.90 (~( ( neq @ sk2 @ nil ) |
% 1.31/0.90 ( ( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk4 ) ) ))).
% 1.31/0.90 thf(zf_stmt_0, negated_conjecture,
% 1.31/0.90 (( neq @ sk2 @ nil ) |
% 1.31/0.90 ( ( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk4 ) )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_13])).
% 1.31/0.90 thf(zip_derived_cl197, plain,
% 1.31/0.90 (( (neq @ sk2 @ nil)
% 1.31/0.90 | ((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4)))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.90 thf(zip_derived_cl219, plain,
% 1.31/0.90 ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4)))
% 1.31/0.90 <= ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl197])).
% 1.31/0.90 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 1.31/0.90 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_5])).
% 1.31/0.90 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.90 thf(zip_derived_cl247, plain,
% 1.31/0.90 ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk2)))
% 1.31/0.90 <= ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl219, zip_derived_cl189])).
% 1.31/0.90 thf(co1_9, conjecture,
% 1.31/0.90 (~( ( neq @ sk2 @ nil ) | ( ~( neq @ B @ nil ) ) |
% 1.31/0.90 ( ( app @ A @ C ) != ( sk1 ) ) |
% 1.31/0.90 ( ( app @ ( app @ A @ B ) @ C ) != ( sk2 ) ) | ( ~( ssList @ C ) ) |
% 1.31/0.90 ( ~( ssList @ B ) ) | ( ~( ssList @ A ) ) ))).
% 1.31/0.90 thf(zf_stmt_2, negated_conjecture,
% 1.31/0.90 (( neq @ sk2 @ nil ) | ( ~( neq @ B @ nil ) ) |
% 1.31/0.90 ( ( app @ A @ C ) != ( sk1 ) ) |
% 1.31/0.90 ( ( app @ ( app @ A @ B ) @ C ) != ( sk2 ) ) | ( ~( ssList @ C ) ) |
% 1.31/0.90 ( ~( ssList @ B ) ) | ( ~( ssList @ A ) )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_9])).
% 1.31/0.90 thf(zip_derived_cl193, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 ( (neq @ sk2 @ nil)
% 1.31/0.90 | ~ (neq @ X0 @ nil)
% 1.31/0.90 | ((app @ X1 @ X2) != (sk1))
% 1.31/0.90 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))
% 1.31/0.90 | ~ (ssList @ X2)
% 1.31/0.90 | ~ (ssList @ X0)
% 1.31/0.90 | ~ (ssList @ X1))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.31/0.90 thf(zip_derived_cl211, plain,
% 1.31/0.90 ((![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 (~ (ssList @ X0)
% 1.31/0.90 | ~ (ssList @ X1)
% 1.31/0.90 | ~ (ssList @ X2)
% 1.31/0.90 | ((app @ X1 @ X2) != (sk1))
% 1.31/0.90 | ~ (neq @ X0 @ nil)
% 1.31/0.90 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))))
% 1.31/0.90 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 (~ (ssList @ X0)
% 1.31/0.90 | ~ (ssList @ X1)
% 1.31/0.90 | ~ (ssList @ X2)
% 1.31/0.90 | ((app @ X1 @ X2) != (sk1))
% 1.31/0.90 | ~ (neq @ X0 @ nil)
% 1.31/0.90 | ((app @ (app @ X1 @ X0) @ X2) != (sk2)))))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl193])).
% 1.31/0.90 thf(zip_derived_cl253, plain,
% 1.31/0.90 (((~ (ssList @ (cons @ sk5 @ nil))
% 1.31/0.90 | ~ (ssList @ sk6)
% 1.31/0.90 | ~ (ssList @ sk7)
% 1.31/0.90 | ((app @ sk6 @ sk7) != (sk1))
% 1.31/0.90 | ~ (neq @ (cons @ sk5 @ nil) @ nil)
% 1.31/0.90 | ((sk2) != (sk2))))
% 1.31/0.90 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 (~ (ssList @ X0)
% 1.31/0.90 | ~ (ssList @ X1)
% 1.31/0.90 | ~ (ssList @ X2)
% 1.31/0.90 | ((app @ X1 @ X2) != (sk1))
% 1.31/0.90 | ~ (neq @ X0 @ nil)
% 1.31/0.90 | ((app @ (app @ X1 @ X0) @ X2) != (sk2)))) &
% 1.31/0.90 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))))),
% 1.31/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl247, zip_derived_cl211])).
% 1.31/0.90 thf(zip_derived_cl256, plain,
% 1.31/0.90 (((~ (neq @ (cons @ sk5 @ nil) @ nil)
% 1.31/0.90 | ((app @ sk6 @ sk7) != (sk1))
% 1.31/0.90 | ~ (ssList @ sk7)
% 1.31/0.90 | ~ (ssList @ sk6)
% 1.31/0.90 | ~ (ssList @ (cons @ sk5 @ nil))))
% 1.31/0.90 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 (~ (ssList @ X0)
% 1.31/0.90 | ~ (ssList @ X1)
% 1.31/0.90 | ~ (ssList @ X2)
% 1.31/0.90 | ((app @ X1 @ X2) != (sk1))
% 1.31/0.90 | ~ (neq @ X0 @ nil)
% 1.31/0.90 | ((app @ (app @ X1 @ X0) @ X2) != (sk2)))) &
% 1.31/0.90 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))))),
% 1.31/0.90 inference('simplify', [status(thm)], [zip_derived_cl253])).
% 1.31/0.90 thf(zip_derived_cl258, plain,
% 1.31/0.90 ((~ (neq @ (cons @ sk5 @ nil) @ nil))
% 1.31/0.90 <= (~ ( (neq @ (cons @ sk5 @ nil) @ nil)))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl256])).
% 1.31/0.90 thf(co1_16, conjecture,
% 1.31/0.90 (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ B @ nil ) ) |
% 1.31/0.90 ( ( app @ A @ C ) != ( sk1 ) ) |
% 1.31/0.90 ( ( app @ ( app @ A @ B ) @ C ) != ( sk2 ) ) | ( ~( ssList @ C ) ) |
% 1.31/0.90 ( ~( ssList @ B ) ) | ( ~( ssList @ A ) ) ))).
% 1.31/0.90 thf(zf_stmt_3, negated_conjecture,
% 1.31/0.90 (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ B @ nil ) ) |
% 1.31/0.90 ( ( app @ A @ C ) != ( sk1 ) ) |
% 1.31/0.90 ( ( app @ ( app @ A @ B ) @ C ) != ( sk2 ) ) | ( ~( ssList @ C ) ) |
% 1.31/0.90 ( ~( ssList @ B ) ) | ( ~( ssList @ A ) )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_16])).
% 1.31/0.90 thf(zip_derived_cl200, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 (~ (neq @ sk4 @ nil)
% 1.31/0.90 | ~ (neq @ X0 @ nil)
% 1.31/0.90 | ((app @ X1 @ X2) != (sk1))
% 1.31/0.90 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))
% 1.31/0.90 | ~ (ssList @ X2)
% 1.31/0.90 | ~ (ssList @ X0)
% 1.31/0.90 | ~ (ssList @ X1))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.90 thf('0', plain,
% 1.31/0.90 ((![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 (~ (ssList @ X0)
% 1.31/0.90 | ~ (ssList @ X1)
% 1.31/0.90 | ~ (ssList @ X2)
% 1.31/0.90 | ((app @ X1 @ X2) != (sk1))
% 1.31/0.90 | ~ (neq @ X0 @ nil)
% 1.31/0.90 | ((app @ (app @ X1 @ X0) @ X2) != (sk2)))) |
% 1.31/0.90 ~ ( (neq @ sk4 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl200])).
% 1.31/0.90 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 1.31/0.90 thf(zf_stmt_4, negated_conjecture, (neq @ sk2 @ nil),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_7])).
% 1.31/0.90 thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.31/0.90 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( neq @ sk2 @ nil ) ))).
% 1.31/0.90 thf(zf_stmt_5, negated_conjecture,
% 1.31/0.90 (( ~( neq @ sk4 @ nil ) ) | ( neq @ sk2 @ nil )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_8])).
% 1.31/0.90 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (neq @ sk2 @ nil))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.31/0.90 thf(zip_derived_cl209, plain,
% 1.31/0.90 ((~ (neq @ sk4 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl192])).
% 1.31/0.90 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.90 thf(zip_derived_cl239, plain,
% 1.31/0.90 ((~ (neq @ sk2 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl189])).
% 1.31/0.90 thf('1', plain, (( (neq @ sk4 @ nil))),
% 1.31/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl239])).
% 1.31/0.90 thf(co1_21, conjecture,
% 1.31/0.90 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( app @ sk6 @ sk7 ) = ( sk3 ) ) ))).
% 1.31/0.90 thf(zf_stmt_6, negated_conjecture,
% 1.31/0.90 (( ~( neq @ sk4 @ nil ) ) | ( ( app @ sk6 @ sk7 ) = ( sk3 ) )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_21])).
% 1.31/0.90 thf(zip_derived_cl205, plain,
% 1.31/0.90 ((~ (neq @ sk4 @ nil) | ((app @ sk6 @ sk7) = (sk3)))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.31/0.90 thf('2', plain, ((((app @ sk6 @ sk7) = (sk3))) | ~ ( (neq @ sk4 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl205])).
% 1.31/0.90 thf(co1_14, conjecture,
% 1.31/0.90 (~( ( neq @ sk2 @ nil ) | ( ( app @ sk6 @ sk7 ) = ( sk3 ) ) ))).
% 1.31/0.90 thf(zf_stmt_7, negated_conjecture,
% 1.31/0.90 (( neq @ sk2 @ nil ) | ( ( app @ sk6 @ sk7 ) = ( sk3 ) )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_14])).
% 1.31/0.90 thf(zip_derived_cl198, plain,
% 1.31/0.90 (( (neq @ sk2 @ nil) | ((app @ sk6 @ sk7) = (sk3)))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.31/0.90 thf(zip_derived_cl221, plain,
% 1.31/0.90 ((((app @ sk6 @ sk7) = (sk3))) <= ((((app @ sk6 @ sk7) = (sk3))))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl198])).
% 1.31/0.90 thf(zip_derived_cl260, plain,
% 1.31/0.90 ((((app @ sk6 @ sk7) != (sk1))) <= (~ (((app @ sk6 @ sk7) = (sk1))))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl256])).
% 1.31/0.90 thf(zip_derived_cl284, plain,
% 1.31/0.90 ((((sk3) != (sk1)))
% 1.31/0.90 <= (~ (((app @ sk6 @ sk7) = (sk1))) & (((app @ sk6 @ sk7) = (sk3))))),
% 1.31/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl260])).
% 1.31/0.90 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 1.31/0.90 thf(zf_stmt_8, negated_conjecture, (( sk1 ) = ( sk3 )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_6])).
% 1.31/0.90 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.31/0.90 thf(zip_derived_cl285, plain,
% 1.31/0.90 ((((sk1) != (sk1)))
% 1.31/0.90 <= (~ (((app @ sk6 @ sk7) = (sk1))) & (((app @ sk6 @ sk7) = (sk3))))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl284, zip_derived_cl190])).
% 1.31/0.90 thf('3', plain,
% 1.31/0.90 ((((app @ sk6 @ sk7) = (sk1))) | ~ (((app @ sk6 @ sk7) = (sk3)))),
% 1.31/0.90 inference('simplify', [status(thm)], [zip_derived_cl285])).
% 1.31/0.90 thf(zip_derived_cl259, plain,
% 1.31/0.90 ((~ (ssList @ (cons @ sk5 @ nil)))
% 1.31/0.90 <= (~ ( (ssList @ (cons @ sk5 @ nil))))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl256])).
% 1.31/0.90 thf(clause86, axiom,
% 1.31/0.90 (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 1.31/0.90 thf(zip_derived_cl85, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]:
% 1.31/0.90 (~ (ssItem @ X0) | ~ (ssList @ X1) | (ssList @ (cons @ X0 @ X1)))),
% 1.31/0.90 inference('cnf', [status(esa)], [clause86])).
% 1.31/0.90 thf(zip_derived_cl910, plain,
% 1.31/0.90 (((~ (ssItem @ sk5) | ~ (ssList @ nil)))
% 1.31/0.90 <= (~ ( (ssList @ (cons @ sk5 @ nil))))),
% 1.31/0.90 inference('s_sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl85])).
% 1.31/0.90 thf(co1_10, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssItem @ sk5 ) ))).
% 1.31/0.90 thf(zf_stmt_9, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssItem @ sk5 )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_10])).
% 1.31/0.90 thf(zip_derived_cl194, plain, (( (neq @ sk2 @ nil) | (ssItem @ sk5))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.31/0.90 thf(zip_derived_cl213, plain, (( (ssItem @ sk5)) <= (( (ssItem @ sk5)))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl194])).
% 1.31/0.90 thf(co1_17, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 1.31/0.90 thf(zf_stmt_10, negated_conjecture,
% 1.31/0.90 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_17])).
% 1.31/0.90 thf(zip_derived_cl201, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.31/0.90 thf('4', plain, (( (ssItem @ sk5)) | ~ ( (neq @ sk4 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl201])).
% 1.31/0.90 thf('5', plain, (( (ssItem @ sk5))),
% 1.31/0.90 inference('sat_resolution*', [status(thm)], ['1', '4'])).
% 1.31/0.90 thf(zip_derived_cl292, plain, ( (ssItem @ sk5)),
% 1.31/0.90 inference('simpl_trail', [status(thm)], [zip_derived_cl213, '5'])).
% 1.31/0.90 thf(clause8, axiom, (ssList @ nil)).
% 1.31/0.90 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.31/0.90 inference('cnf', [status(esa)], [clause8])).
% 1.31/0.90 thf('6', plain, (( (ssList @ (cons @ sk5 @ nil)))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl910, zip_derived_cl292, zip_derived_cl7])).
% 1.31/0.90 thf(co1_11, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssList @ sk6 ) ))).
% 1.31/0.90 thf(zf_stmt_11, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssList @ sk6 )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_11])).
% 1.31/0.90 thf(zip_derived_cl195, plain, (( (neq @ sk2 @ nil) | (ssList @ sk6))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.31/0.90 thf('7', plain, (( (ssList @ sk6)) | ( (neq @ sk2 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl195])).
% 1.31/0.90 thf(co1_12, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssList @ sk7 ) ))).
% 1.31/0.90 thf(zf_stmt_12, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssList @ sk7 )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_12])).
% 1.31/0.90 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | (ssList @ sk7))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.31/0.90 thf('8', plain, (( (ssList @ sk7)) | ( (neq @ sk2 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl196])).
% 1.31/0.90 thf('9', plain,
% 1.31/0.90 ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))) |
% 1.31/0.90 ( (neq @ sk2 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl197])).
% 1.31/0.90 thf(zip_derived_cl210, plain,
% 1.31/0.90 (( (neq @ sk2 @ nil)) <= (( (neq @ sk2 @ nil)))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl192])).
% 1.31/0.90 thf(zip_derived_cl239, plain,
% 1.31/0.90 ((~ (neq @ sk2 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl189])).
% 1.31/0.90 thf('10', plain, (( (neq @ sk4 @ nil)) | ~ ( (neq @ sk2 @ nil))),
% 1.31/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl239])).
% 1.31/0.90 thf(co1_18, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 ) ))).
% 1.31/0.90 thf(zf_stmt_13, negated_conjecture,
% 1.31/0.90 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_18])).
% 1.31/0.90 thf(zip_derived_cl202, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk6))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.31/0.90 thf('11', plain, (( (ssList @ sk6)) | ~ ( (neq @ sk4 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl202])).
% 1.31/0.90 thf(co1_19, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk7 ) ))).
% 1.31/0.90 thf(zf_stmt_14, negated_conjecture,
% 1.31/0.90 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk7 )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_19])).
% 1.31/0.90 thf(zip_derived_cl203, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk7))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.31/0.90 thf('12', plain, (( (ssList @ sk7)) | ~ ( (neq @ sk4 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl203])).
% 1.31/0.90 thf(co1_20, conjecture,
% 1.31/0.90 (~( ( ~( neq @ sk4 @ nil ) ) |
% 1.31/0.90 ( ( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk4 ) ) ))).
% 1.31/0.90 thf(zf_stmt_15, negated_conjecture,
% 1.31/0.90 (( ~( neq @ sk4 @ nil ) ) |
% 1.31/0.90 ( ( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk4 ) )),
% 1.31/0.90 inference('cnf.neg', [status(esa)], [co1_20])).
% 1.31/0.90 thf(zip_derived_cl204, plain,
% 1.31/0.90 ((~ (neq @ sk4 @ nil)
% 1.31/0.90 | ((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4)))),
% 1.31/0.90 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.31/0.90 thf('13', plain,
% 1.31/0.90 ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))) |
% 1.31/0.90 ~ ( (neq @ sk4 @ nil))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl204])).
% 1.31/0.90 thf('14', plain,
% 1.31/0.90 (~ ( (neq @ (cons @ sk5 @ nil) @ nil)) |
% 1.31/0.90 ~ ( (ssList @ (cons @ sk5 @ nil))) |
% 1.31/0.90 ~ (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))) |
% 1.31/0.90 ~ (((app @ sk6 @ sk7) = (sk1))) | ~ ( (ssList @ sk7)) |
% 1.31/0.90 ~ ( (ssList @ sk6)) |
% 1.31/0.90 ~
% 1.31/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.90 (~ (ssList @ X0)
% 1.31/0.90 | ~ (ssList @ X1)
% 1.31/0.90 | ~ (ssList @ X2)
% 1.31/0.90 | ((app @ X1 @ X2) != (sk1))
% 1.31/0.90 | ~ (neq @ X0 @ nil)
% 1.31/0.90 | ((app @ (app @ X1 @ X0) @ X2) != (sk2))))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl256])).
% 1.31/0.90 thf('15', plain, (~ ( (neq @ (cons @ sk5 @ nil) @ nil))),
% 1.31/0.90 inference('sat_resolution*', [status(thm)],
% 1.31/0.90 ['0', '1', '2', '3', '6', '7', '8', '9', '10', '11', '12',
% 1.31/0.90 '13', '14'])).
% 1.31/0.90 thf(zip_derived_cl924, plain, (~ (neq @ (cons @ sk5 @ nil) @ nil)),
% 1.31/0.90 inference('simpl_trail', [status(thm)], [zip_derived_cl258, '15'])).
% 1.31/0.90 thf(clause100, axiom,
% 1.31/0.90 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 1.31/0.90 ( ( V ) = ( U ) ))).
% 1.31/0.90 thf(zip_derived_cl99, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]:
% 1.31/0.90 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 1.31/0.90 inference('cnf', [status(esa)], [clause100])).
% 1.31/0.90 thf(zip_derived_cl1293, plain,
% 1.31/0.90 ((~ (ssList @ nil)
% 1.31/0.90 | ~ (ssList @ (cons @ sk5 @ nil))
% 1.31/0.90 | ((cons @ sk5 @ nil) = (nil)))),
% 1.31/0.90 inference('s_sup+', [status(thm)], [zip_derived_cl924, zip_derived_cl99])).
% 1.31/0.90 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.31/0.90 inference('cnf', [status(esa)], [clause8])).
% 1.31/0.90 thf(zip_derived_cl1298, plain,
% 1.31/0.90 ((~ (ssList @ (cons @ sk5 @ nil)) | ((cons @ sk5 @ nil) = (nil)))),
% 1.31/0.90 inference('demod', [status(thm)], [zip_derived_cl1293, zip_derived_cl7])).
% 1.31/0.90 thf(zip_derived_cl1664, plain,
% 1.31/0.90 ((((cons @ sk5 @ nil) = (nil))) <= ((((cons @ sk5 @ nil) = (nil))))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl1298])).
% 1.31/0.90 thf(clause98, axiom,
% 1.31/0.90 (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) |
% 1.31/0.90 ( ~( ssList @ V ) ))).
% 1.31/0.90 thf(zip_derived_cl97, plain,
% 1.31/0.90 (![X0 : $i, X1 : $i]:
% 1.31/0.90 (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 1.31/0.90 inference('cnf', [status(esa)], [clause98])).
% 1.31/0.90 thf(zip_derived_cl1668, plain,
% 1.31/0.90 (((((nil) != (nil)) | ~ (ssItem @ sk5) | ~ (ssList @ nil)))
% 1.31/0.90 <= ((((cons @ sk5 @ nil) = (nil))))),
% 1.31/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl1664, zip_derived_cl97])).
% 1.31/0.90 thf(zip_derived_cl292, plain, ( (ssItem @ sk5)),
% 1.31/0.90 inference('simpl_trail', [status(thm)], [zip_derived_cl213, '5'])).
% 1.31/0.90 thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 1.31/0.90 inference('cnf', [status(esa)], [clause8])).
% 1.31/0.90 thf(zip_derived_cl1706, plain,
% 1.31/0.90 ((((nil) != (nil))) <= ((((cons @ sk5 @ nil) = (nil))))),
% 1.31/0.90 inference('demod', [status(thm)],
% 1.31/0.90 [zip_derived_cl1668, zip_derived_cl292, zip_derived_cl7])).
% 1.31/0.90 thf(zip_derived_cl1707, plain,
% 1.31/0.90 (($false) <= ((((cons @ sk5 @ nil) = (nil))))),
% 1.31/0.90 inference('simplify', [status(thm)], [zip_derived_cl1706])).
% 1.31/0.90 thf('16', plain,
% 1.31/0.90 ((((cons @ sk5 @ nil) = (nil))) | ~ ( (ssList @ (cons @ sk5 @ nil)))),
% 1.31/0.90 inference('split', [status(esa)], [zip_derived_cl1298])).
% 1.31/0.90 thf('17', plain, ((((cons @ sk5 @ nil) = (nil)))),
% 1.31/0.90 inference('sat_resolution*', [status(thm)], ['6', '16'])).
% 1.31/0.90 thf(zip_derived_cl1708, plain, ($false),
% 1.31/0.90 inference('simpl_trail', [status(thm)], [zip_derived_cl1707, '17'])).
% 1.31/0.90
% 1.31/0.90 % SZS output end Refutation
% 1.31/0.90
% 1.31/0.90
% 1.31/0.90 % Terminating...
% 1.46/0.96 % Runner terminated.
% 1.46/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------