TSTP Solution File: SWC090-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC090-1 : 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.zGNoRZa7DE true
% Computer : n029.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 21:29:04 EDT 2023
% Result : Unsatisfiable 4.69s 1.28s
% Output : Refutation 4.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC090-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zGNoRZa7DE true
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 15:55:11 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.69/1.28 % Solved by fo/fo3_bce.sh.
% 4.69/1.28 % BCE start: 41
% 4.69/1.28 % BCE eliminated: 9
% 4.69/1.28 % PE start: 32
% 4.69/1.28 logic: eq
% 4.69/1.28 % PE eliminated: 1
% 4.69/1.28 % done 768 iterations in 0.560s
% 4.69/1.28 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.69/1.28 % SZS output start Refutation
% 4.69/1.28 thf(nil_type, type, nil: $i).
% 4.69/1.28 thf(sk2_type, type, sk2: $i).
% 4.69/1.28 thf(sk5_type, type, sk5: $i).
% 4.69/1.28 thf(sk4_type, type, sk4: $i).
% 4.69/1.28 thf(sk3_type, type, sk3: $i).
% 4.69/1.28 thf(neq_type, type, neq: $i > $i > $o).
% 4.69/1.28 thf(app_type, type, app: $i > $i > $i).
% 4.69/1.28 thf(ssList_type, type, ssList: $i > $o).
% 4.69/1.28 thf(sk6_type, type, sk6: $i).
% 4.69/1.28 thf(sk1_type, type, sk1: $i).
% 4.69/1.28 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 4.69/1.28 thf(clause57, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ U ))).
% 4.69/1.28 thf(zip_derived_cl2, plain,
% 4.69/1.28 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause57])).
% 4.69/1.28 thf(zip_derived_cl2, plain,
% 4.69/1.28 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause57])).
% 4.69/1.28 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 4.69/1.28 thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_7])).
% 4.69/1.28 thf(zip_derived_cl34, plain, ( (neq @ sk2 @ nil)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.69/1.28 thf(co1_8, conjecture,
% 4.69/1.28 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 4.69/1.28 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) ))).
% 4.69/1.28 thf(zf_stmt_1, negated_conjecture,
% 4.69/1.28 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 4.69/1.28 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) )),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_8])).
% 4.69/1.28 thf(zip_derived_cl33, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (~ (segmentP @ sk1 @ X0)
% 4.69/1.28 | ~ (segmentP @ sk2 @ X0)
% 4.69/1.28 | ~ (neq @ X0 @ nil)
% 4.69/1.28 | ~ (ssList @ X0))),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.69/1.28 thf(zip_derived_cl206, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (((sk2) != (X0))
% 4.69/1.28 | ((nil) != (nil))
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (segmentP @ sk2 @ X0)
% 4.69/1.28 | ~ (segmentP @ sk1 @ X0))),
% 4.69/1.28 inference('dp-resolution', [status(thm)],
% 4.69/1.28 [zip_derived_cl34, zip_derived_cl33])).
% 4.69/1.28 thf(zip_derived_cl225, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (~ (segmentP @ sk1 @ X0)
% 4.69/1.28 | ~ (segmentP @ sk2 @ X0)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ((sk2) != (X0)))),
% 4.69/1.28 inference('simplify', [status(thm)], [zip_derived_cl206])).
% 4.69/1.28 thf(zip_derived_cl228, plain,
% 4.69/1.28 ((~ (ssList @ sk2)
% 4.69/1.28 | ((sk2) != (sk2))
% 4.69/1.28 | ~ (ssList @ sk2)
% 4.69/1.28 | ~ (segmentP @ sk1 @ sk2))),
% 4.69/1.28 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl225])).
% 4.69/1.28 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 4.69/1.28 thf(zf_stmt_2, negated_conjecture, (ssList @ sk4),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_4])).
% 4.69/1.28 thf(zip_derived_cl37, plain, ( (ssList @ sk4)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.69/1.28 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 4.69/1.28 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_5])).
% 4.69/1.28 thf(zip_derived_cl36, plain, (((sk2) = (sk4))),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.69/1.28 thf(zip_derived_cl209, plain, ( (ssList @ sk2)),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl36])).
% 4.69/1.28 thf(zip_derived_cl209, plain, ( (ssList @ sk2)),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl36])).
% 4.69/1.28 thf(zip_derived_cl230, plain,
% 4.69/1.28 ((((sk2) != (sk2)) | ~ (segmentP @ sk1 @ sk2))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl228, zip_derived_cl209, zip_derived_cl209])).
% 4.69/1.28 thf(zip_derived_cl231, plain, (~ (segmentP @ sk1 @ sk2)),
% 4.69/1.28 inference('simplify', [status(thm)], [zip_derived_cl230])).
% 4.69/1.28 thf(co1_12, conjecture, (( app @ sk6 @ sk5 ) != ( sk3 ))).
% 4.69/1.28 thf(zf_stmt_4, negated_conjecture, (( app @ sk6 @ sk5 ) = ( sk3 )),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_12])).
% 4.69/1.28 thf(zip_derived_cl29, plain, (((app @ sk6 @ sk5) = (sk3))),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.69/1.28 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 4.69/1.28 thf(zf_stmt_5, negated_conjecture, (( sk1 ) = ( sk3 )),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_6])).
% 4.69/1.28 thf(zip_derived_cl35, plain, (((sk1) = (sk3))),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.69/1.28 thf(zip_derived_cl207, plain, (((app @ sk6 @ sk5) = (sk1))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl35])).
% 4.69/1.28 thf(co1_11, conjecture, (( app @ sk5 @ sk6 ) != ( sk4 ))).
% 4.69/1.28 thf(zf_stmt_6, negated_conjecture, (( app @ sk5 @ sk6 ) = ( sk4 )),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_11])).
% 4.69/1.28 thf(zip_derived_cl30, plain, (((app @ sk5 @ sk6) = (sk4))),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_6])).
% 4.69/1.28 thf(zip_derived_cl36, plain, (((sk2) = (sk4))),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.69/1.28 thf(zip_derived_cl208, plain, (((app @ sk5 @ sk6) = (sk2))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl36])).
% 4.69/1.28 thf(clause149, axiom,
% 4.69/1.28 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) |
% 4.69/1.28 ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 4.69/1.28 thf(zip_derived_cl20, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.28 (~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause149])).
% 4.69/1.28 thf(zip_derived_cl454, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (((app @ sk2 @ X0) = (app @ sk5 @ (app @ sk6 @ X0)))
% 4.69/1.28 | ~ (ssList @ sk5)
% 4.69/1.28 | ~ (ssList @ sk6)
% 4.69/1.28 | ~ (ssList @ X0))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl20])).
% 4.69/1.28 thf(co1_9, conjecture, (~( ssList @ sk5 ))).
% 4.69/1.28 thf(zf_stmt_7, negated_conjecture, (ssList @ sk5),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_9])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(co1_10, conjecture, (~( ssList @ sk6 ))).
% 4.69/1.28 thf(zf_stmt_8, negated_conjecture, (ssList @ sk6),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_10])).
% 4.69/1.28 thf(zip_derived_cl31, plain, ( (ssList @ sk6)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.69/1.28 thf(zip_derived_cl464, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (((app @ sk2 @ X0) = (app @ sk5 @ (app @ sk6 @ X0))) | ~ (ssList @ X0))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl454, zip_derived_cl32, zip_derived_cl31])).
% 4.69/1.28 thf(zip_derived_cl921, plain,
% 4.69/1.28 ((((app @ sk2 @ sk5) = (app @ sk5 @ sk1)) | ~ (ssList @ sk5))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl464])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl927, plain, (((app @ sk2 @ sk5) = (app @ sk5 @ sk1))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl921, zip_derived_cl32])).
% 4.69/1.28 thf(clause100, axiom,
% 4.69/1.28 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 4.69/1.28 ( ( V ) = ( U ) ))).
% 4.69/1.28 thf(zip_derived_cl11, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i]:
% 4.69/1.28 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause100])).
% 4.69/1.28 thf(zip_derived_cl33, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (~ (segmentP @ sk1 @ X0)
% 4.69/1.28 | ~ (segmentP @ sk2 @ X0)
% 4.69/1.28 | ~ (neq @ X0 @ nil)
% 4.69/1.28 | ~ (ssList @ X0))),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.69/1.28 thf(zip_derived_cl202, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (((X0) = (nil))
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ nil)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (segmentP @ sk2 @ X0)
% 4.69/1.28 | ~ (segmentP @ sk1 @ X0))),
% 4.69/1.28 inference('dp-resolution', [status(thm)],
% 4.69/1.28 [zip_derived_cl11, zip_derived_cl33])).
% 4.69/1.28 thf(zip_derived_cl756, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (~ (segmentP @ sk1 @ X0)
% 4.69/1.28 | ~ (segmentP @ sk2 @ X0)
% 4.69/1.28 | ~ (ssList @ nil)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ((X0) = (nil)))),
% 4.69/1.28 inference('simplify', [status(thm)], [zip_derived_cl202])).
% 4.69/1.28 thf(clause8, axiom, (ssList @ nil)).
% 4.69/1.28 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 4.69/1.28 inference('cnf', [status(esa)], [clause8])).
% 4.69/1.28 thf(zip_derived_cl757, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (~ (segmentP @ sk1 @ X0)
% 4.69/1.28 | ~ (segmentP @ sk2 @ X0)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ((X0) = (nil)))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl0])).
% 4.69/1.28 thf(zip_derived_cl2, plain,
% 4.69/1.28 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause57])).
% 4.69/1.28 thf(zip_derived_cl208, plain, (((app @ sk5 @ sk6) = (sk2))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl36])).
% 4.69/1.28 thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 4.69/1.28 thf(zip_derived_cl4, plain,
% 4.69/1.28 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause74])).
% 4.69/1.28 thf(clause172, axiom,
% 4.69/1.28 (( ~( segmentP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ X ) ) |
% 4.69/1.28 ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 4.69/1.28 ( segmentP @ ( app @ ( app @ X @ U ) @ W ) @ V ))).
% 4.69/1.28 thf(zip_derived_cl27, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.69/1.28 (~ (segmentP @ X0 @ X1)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ~ (ssList @ X3)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | (segmentP @ (app @ (app @ X3 @ X0) @ X2) @ X1))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause172])).
% 4.69/1.28 thf(zip_derived_cl603, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.28 ( (segmentP @ (app @ X0 @ X2) @ X1)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ nil)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ~ (segmentP @ X0 @ X1))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl27])).
% 4.69/1.28 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 4.69/1.28 inference('cnf', [status(esa)], [clause8])).
% 4.69/1.28 thf(zip_derived_cl616, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.28 ( (segmentP @ (app @ X0 @ X2) @ X1)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ~ (segmentP @ X0 @ X1))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl603, zip_derived_cl0])).
% 4.69/1.28 thf(zip_derived_cl617, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.28 (~ (segmentP @ X0 @ X1)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | (segmentP @ (app @ X0 @ X2) @ X1))),
% 4.69/1.28 inference('simplify', [status(thm)], [zip_derived_cl616])).
% 4.69/1.28 thf(zip_derived_cl4853, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 ( (segmentP @ sk2 @ X0)
% 4.69/1.28 | ~ (ssList @ sk5)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ sk6)
% 4.69/1.28 | ~ (segmentP @ sk5 @ X0))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl617])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl31, plain, ( (ssList @ sk6)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.69/1.28 thf(zip_derived_cl4889, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 ( (segmentP @ sk2 @ X0) | ~ (ssList @ X0) | ~ (segmentP @ sk5 @ X0))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl4853, zip_derived_cl32, zip_derived_cl31])).
% 4.69/1.28 thf(zip_derived_cl7167, plain,
% 4.69/1.28 ((~ (ssList @ sk5) | ~ (ssList @ sk5) | (segmentP @ sk2 @ sk5))),
% 4.69/1.28 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4889])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl7169, plain, ( (segmentP @ sk2 @ sk5)),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl7167, zip_derived_cl32, zip_derived_cl32])).
% 4.69/1.28 thf(zip_derived_cl7181, plain,
% 4.69/1.28 ((((sk5) = (nil)) | ~ (ssList @ sk5) | ~ (segmentP @ sk1 @ sk5))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl757, zip_derived_cl7169])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl2, plain,
% 4.69/1.28 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause57])).
% 4.69/1.28 thf(zip_derived_cl207, plain, (((app @ sk6 @ sk5) = (sk1))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl35])).
% 4.69/1.28 thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 4.69/1.28 thf(zip_derived_cl3, plain,
% 4.69/1.28 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause73])).
% 4.69/1.28 thf(zip_derived_cl27, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.69/1.28 (~ (segmentP @ X0 @ X1)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ~ (ssList @ X3)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | (segmentP @ (app @ (app @ X3 @ X0) @ X2) @ X1))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause172])).
% 4.69/1.28 thf(zip_derived_cl599, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.28 ( (segmentP @ (app @ X1 @ X0) @ X2)
% 4.69/1.28 | ~ (ssList @ (app @ X1 @ X0))
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ nil)
% 4.69/1.28 | ~ (segmentP @ X0 @ X2))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl27])).
% 4.69/1.28 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 4.69/1.28 inference('cnf', [status(esa)], [clause8])).
% 4.69/1.28 thf(zip_derived_cl611, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.28 ( (segmentP @ (app @ X1 @ X0) @ X2)
% 4.69/1.28 | ~ (ssList @ (app @ X1 @ X0))
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (segmentP @ X0 @ X2))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl599, zip_derived_cl0])).
% 4.69/1.28 thf(clause85, axiom,
% 4.69/1.28 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 4.69/1.28 thf(zip_derived_cl7, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i]:
% 4.69/1.28 (~ (ssList @ X0) | ~ (ssList @ X1) | (ssList @ (app @ X1 @ X0)))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause85])).
% 4.69/1.28 thf(zip_derived_cl4396, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.28 (~ (segmentP @ X0 @ X2)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | (segmentP @ (app @ X1 @ X0) @ X2))),
% 4.69/1.28 inference('clc', [status(thm)], [zip_derived_cl611, zip_derived_cl7])).
% 4.69/1.28 thf(zip_derived_cl4430, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 ( (segmentP @ sk1 @ X0)
% 4.69/1.28 | ~ (ssList @ sk5)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ sk6)
% 4.69/1.28 | ~ (segmentP @ sk5 @ X0))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl4396])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl31, plain, ( (ssList @ sk6)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.69/1.28 thf(zip_derived_cl4466, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 ( (segmentP @ sk1 @ X0) | ~ (ssList @ X0) | ~ (segmentP @ sk5 @ X0))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl4430, zip_derived_cl32, zip_derived_cl31])).
% 4.69/1.28 thf(zip_derived_cl6986, plain,
% 4.69/1.28 ((~ (ssList @ sk5) | ~ (ssList @ sk5) | (segmentP @ sk1 @ sk5))),
% 4.69/1.28 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl4466])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl6988, plain, ( (segmentP @ sk1 @ sk5)),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl6986, zip_derived_cl32, zip_derived_cl32])).
% 4.69/1.28 thf(zip_derived_cl7183, plain, (((sk5) = (nil))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl7181, zip_derived_cl32, zip_derived_cl6988])).
% 4.69/1.28 thf(zip_derived_cl3, plain,
% 4.69/1.28 (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause73])).
% 4.69/1.28 thf(zip_derived_cl464, plain,
% 4.69/1.28 (![X0 : $i]:
% 4.69/1.28 (((app @ sk2 @ X0) = (app @ sk5 @ (app @ sk6 @ X0))) | ~ (ssList @ X0))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl454, zip_derived_cl32, zip_derived_cl31])).
% 4.69/1.28 thf(zip_derived_cl920, plain,
% 4.69/1.28 ((((app @ sk2 @ nil) = (app @ sk5 @ sk6))
% 4.69/1.28 | ~ (ssList @ sk6)
% 4.69/1.28 | ~ (ssList @ nil))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl464])).
% 4.69/1.28 thf(zip_derived_cl208, plain, (((app @ sk5 @ sk6) = (sk2))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl36])).
% 4.69/1.28 thf(zip_derived_cl31, plain, ( (ssList @ sk6)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.69/1.28 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 4.69/1.28 inference('cnf', [status(esa)], [clause8])).
% 4.69/1.28 thf(zip_derived_cl926, plain, (((app @ sk2 @ nil) = (sk2))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl920, zip_derived_cl208, zip_derived_cl31,
% 4.69/1.28 zip_derived_cl0])).
% 4.69/1.28 thf(zip_derived_cl7183, plain, (((sk5) = (nil))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl7181, zip_derived_cl32, zip_derived_cl6988])).
% 4.69/1.28 thf(zip_derived_cl207, plain, (((app @ sk6 @ sk5) = (sk1))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl35])).
% 4.69/1.28 thf(zip_derived_cl4, plain,
% 4.69/1.28 (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause74])).
% 4.69/1.28 thf(zip_derived_cl20, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.69/1.28 (~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ X2)
% 4.69/1.28 | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 4.69/1.28 inference('cnf', [status(esa)], [clause149])).
% 4.69/1.28 thf(zip_derived_cl450, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i]:
% 4.69/1.28 (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ nil)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X1))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl20])).
% 4.69/1.28 thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 4.69/1.28 inference('cnf', [status(esa)], [clause8])).
% 4.69/1.28 thf(zip_derived_cl459, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i]:
% 4.69/1.28 (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ~ (ssList @ X1))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl450, zip_derived_cl0])).
% 4.69/1.28 thf(zip_derived_cl460, plain,
% 4.69/1.28 (![X0 : $i, X1 : $i]:
% 4.69/1.28 (~ (ssList @ X1)
% 4.69/1.28 | ~ (ssList @ X0)
% 4.69/1.28 | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 4.69/1.28 inference('simplify', [status(thm)], [zip_derived_cl459])).
% 4.69/1.28 thf(zip_derived_cl1643, plain,
% 4.69/1.28 ((((app @ sk6 @ sk5) = (app @ nil @ sk1))
% 4.69/1.28 | ~ (ssList @ sk6)
% 4.69/1.28 | ~ (ssList @ sk5))),
% 4.69/1.28 inference('sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl460])).
% 4.69/1.28 thf(zip_derived_cl207, plain, (((app @ sk6 @ sk5) = (sk1))),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl35])).
% 4.69/1.28 thf(zip_derived_cl31, plain, ( (ssList @ sk6)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.69/1.28 thf(zip_derived_cl32, plain, ( (ssList @ sk5)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.69/1.28 thf(zip_derived_cl1667, plain, (((sk1) = (app @ nil @ sk1))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl1643, zip_derived_cl207, zip_derived_cl31,
% 4.69/1.28 zip_derived_cl32])).
% 4.69/1.28 thf(zip_derived_cl7225, plain, (((sk2) = (sk1))),
% 4.69/1.28 inference('demod', [status(thm)],
% 4.69/1.28 [zip_derived_cl927, zip_derived_cl7183, zip_derived_cl926,
% 4.69/1.28 zip_derived_cl7183, zip_derived_cl1667])).
% 4.69/1.28 thf(zip_derived_cl7388, plain, (~ (segmentP @ sk1 @ sk1)),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl231, zip_derived_cl7225])).
% 4.69/1.28 thf(zip_derived_cl7417, plain, (~ (ssList @ sk1)),
% 4.69/1.28 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7388])).
% 4.69/1.28 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 4.69/1.28 thf(zf_stmt_9, negated_conjecture, (ssList @ sk3),
% 4.69/1.28 inference('cnf.neg', [status(esa)], [co1_3])).
% 4.69/1.28 thf(zip_derived_cl38, plain, ( (ssList @ sk3)),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_9])).
% 4.69/1.28 thf(zip_derived_cl35, plain, (((sk1) = (sk3))),
% 4.69/1.28 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.69/1.28 thf(zip_derived_cl210, plain, ( (ssList @ sk1)),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl35])).
% 4.69/1.28 thf(zip_derived_cl7418, plain, ($false),
% 4.69/1.28 inference('demod', [status(thm)], [zip_derived_cl7417, zip_derived_cl210])).
% 4.69/1.28
% 4.69/1.28 % SZS output end Refutation
% 4.69/1.28
% 4.69/1.28
% 4.69/1.28 % Terminating...
% 5.23/1.32 % Runner terminated.
% 5.23/1.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------