TSTP Solution File: SWC067-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC067-1 : 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.yMyqkgHTcn 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 21:28:54 EDT 2023
% Result : Unsatisfiable 0.53s 0.85s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWC067-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.yMyqkgHTcn true
% 0.13/0.36 % Computer : n029.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Aug 28 15:48:42 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.45/0.59 % Total configuration time : 435
% 0.45/0.59 % Estimated wc time : 1092
% 0.45/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.85 % Solved by fo/fo7.sh.
% 0.53/0.85 % done 160 iterations in 0.113s
% 0.53/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.85 % SZS output start Refutation
% 0.53/0.85 thf(nil_type, type, nil: $i).
% 0.53/0.85 thf(sk2_type, type, sk2: $i).
% 0.53/0.85 thf(sk6_type, type, sk6: $i).
% 0.53/0.85 thf(sk4_type, type, sk4: $i).
% 0.53/0.85 thf(sk5_type, type, sk5: $i).
% 0.53/0.85 thf(sk3_type, type, sk3: $i).
% 0.53/0.85 thf(neq_type, type, neq: $i > $i > $o).
% 0.53/0.85 thf(app_type, type, app: $i > $i > $i).
% 0.53/0.85 thf(ssList_type, type, ssList: $i > $o).
% 0.53/0.85 thf(sk1_type, type, sk1: $i).
% 0.53/0.85 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 0.53/0.85 thf(co1_16, conjecture, (~( ( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) ) ))).
% 0.53/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.85 (( neq @ sk2 @ nil ) | ( ( nil ) != ( sk1 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.53/0.85 thf(zip_derived_cl67, plain, (( (neq @ sk2 @ nil) | ((nil) != (sk1)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.85 thf(clause79, axiom,
% 0.53/0.85 (( ( nil ) != ( U ) ) | ( ~( ssList @ U ) ) | ( segmentP @ nil @ U ))).
% 0.53/0.85 thf(zip_derived_cl15, plain,
% 0.53/0.85 (![X0 : $i]: (((nil) != (X0)) | ~ (ssList @ X0) | (segmentP @ nil @ X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [clause79])).
% 0.53/0.85 thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 0.53/0.85 thf(zip_derived_cl5, plain,
% 0.53/0.85 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ nil))),
% 0.53/0.85 inference('cnf', [status(esa)], [clause56])).
% 0.53/0.85 thf(clause152, axiom,
% 0.53/0.85 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ W ) ) |
% 0.53/0.85 ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) |
% 0.53/0.85 ( segmentP @ U @ W ))).
% 0.53/0.85 thf(zip_derived_cl50, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.85 (~ (segmentP @ X0 @ X1)
% 0.53/0.85 | ~ (segmentP @ X1 @ X2)
% 0.53/0.85 | ~ (ssList @ X2)
% 0.53/0.85 | ~ (ssList @ X1)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | (segmentP @ X0 @ X2))),
% 0.53/0.85 inference('cnf', [status(esa)], [clause152])).
% 0.53/0.85 thf(zip_derived_cl308, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (~ (ssList @ X0)
% 0.53/0.85 | (segmentP @ X0 @ X1)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | ~ (ssList @ nil)
% 0.53/0.85 | ~ (ssList @ X1)
% 0.53/0.85 | ~ (segmentP @ nil @ X1))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl50])).
% 0.53/0.85 thf(clause8, axiom, (ssList @ nil)).
% 0.53/0.85 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.53/0.85 inference('cnf', [status(esa)], [clause8])).
% 0.53/0.85 thf(zip_derived_cl315, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (~ (ssList @ X0)
% 0.53/0.85 | (segmentP @ X0 @ X1)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | ~ (ssList @ X1)
% 0.53/0.85 | ~ (segmentP @ nil @ X1))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl308, zip_derived_cl2])).
% 0.53/0.85 thf(zip_derived_cl316, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (~ (segmentP @ nil @ X1)
% 0.53/0.85 | ~ (ssList @ X1)
% 0.53/0.85 | (segmentP @ X0 @ X1)
% 0.53/0.85 | ~ (ssList @ X0))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl315])).
% 0.53/0.85 thf(zip_derived_cl321, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (~ (ssList @ X0)
% 0.53/0.85 | ((nil) != (X0))
% 0.53/0.85 | ~ (ssList @ X1)
% 0.53/0.85 | (segmentP @ X1 @ X0)
% 0.53/0.85 | ~ (ssList @ X0))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl316])).
% 0.53/0.85 thf(zip_derived_cl325, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 ( (segmentP @ X1 @ X0)
% 0.53/0.85 | ~ (ssList @ X1)
% 0.53/0.85 | ((nil) != (X0))
% 0.53/0.85 | ~ (ssList @ X0))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl321])).
% 0.53/0.85 thf(co1_9, conjecture, (( app @ ( app @ sk5 @ sk3 ) @ sk6 ) != ( sk4 ))).
% 0.53/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.53/0.85 (( app @ ( app @ sk5 @ sk3 ) @ sk6 ) = ( sk4 )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.53/0.85 thf(zip_derived_cl74, plain, (((app @ (app @ sk5 @ sk3) @ sk6) = (sk4))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.85 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.53/0.85 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.53/0.85 thf(zip_derived_cl77, plain, (((sk1) = (sk3))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.85 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.53/0.85 thf(zf_stmt_3, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.53/0.85 thf(zip_derived_cl78, plain, (((sk2) = (sk4))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.85 thf(zip_derived_cl90, plain, (((app @ (app @ sk5 @ sk1) @ sk6) = (sk2))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl74, zip_derived_cl77, zip_derived_cl78])).
% 0.53/0.85 thf(clause173, axiom,
% 0.53/0.85 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 0.53/0.85 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 0.53/0.85 ( segmentP @ X @ V ))).
% 0.53/0.85 thf(zip_derived_cl61, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.85 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 0.53/0.85 | ~ (ssList @ X3)
% 0.53/0.85 | ~ (ssList @ X1)
% 0.53/0.85 | ~ (ssList @ X2)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | (segmentP @ X0 @ X2))),
% 0.53/0.85 inference('cnf', [status(esa)], [clause173])).
% 0.53/0.85 thf(zip_derived_cl442, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (((sk2) != (X0))
% 0.53/0.85 | (segmentP @ X0 @ sk1)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | ~ (ssList @ sk1)
% 0.53/0.85 | ~ (ssList @ sk5)
% 0.53/0.85 | ~ (ssList @ sk6))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl61])).
% 0.53/0.85 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 0.53/0.85 thf(zf_stmt_4, negated_conjecture, (ssList @ sk3),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_3])).
% 0.53/0.85 thf(zip_derived_cl80, plain, ( (ssList @ sk3)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.53/0.85 thf(zip_derived_cl77, plain, (((sk1) = (sk3))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.85 thf(zip_derived_cl89, plain, ( (ssList @ sk1)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.53/0.85 thf(co1_7, conjecture, (~( ssList @ sk5 ))).
% 0.53/0.85 thf(zf_stmt_5, negated_conjecture, (ssList @ sk5),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.53/0.85 thf(zip_derived_cl76, plain, ( (ssList @ sk5)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.53/0.85 thf(co1_8, conjecture, (~( ssList @ sk6 ))).
% 0.53/0.85 thf(zf_stmt_6, negated_conjecture, (ssList @ sk6),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.53/0.85 thf(zip_derived_cl75, plain, ( (ssList @ sk6)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.53/0.85 thf(zip_derived_cl448, plain,
% 0.53/0.85 (![X0 : $i]: (((sk2) != (X0)) | (segmentP @ X0 @ sk1) | ~ (ssList @ X0))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl442, zip_derived_cl89, zip_derived_cl76,
% 0.53/0.85 zip_derived_cl75])).
% 0.53/0.85 thf(zip_derived_cl454, plain, ((~ (ssList @ sk2) | (segmentP @ sk2 @ sk1))),
% 0.53/0.85 inference('eq_res', [status(thm)], [zip_derived_cl448])).
% 0.53/0.85 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.53/0.85 thf(zf_stmt_7, negated_conjecture, (ssList @ sk4),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_4])).
% 0.53/0.85 thf(zip_derived_cl79, plain, ( (ssList @ sk4)),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.53/0.85 thf(zip_derived_cl78, plain, (((sk2) = (sk4))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.85 thf(zip_derived_cl88, plain, ( (ssList @ sk2)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl78])).
% 0.53/0.85 thf(zip_derived_cl455, plain, ( (segmentP @ sk2 @ sk1)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl454, zip_derived_cl88])).
% 0.53/0.85 thf(clause127, axiom,
% 0.53/0.85 (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ U ) ) |
% 0.53/0.85 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 0.53/0.85 thf(zip_derived_cl41, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (~ (segmentP @ X0 @ X1)
% 0.53/0.85 | ~ (segmentP @ X1 @ X0)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | ~ (ssList @ X1)
% 0.53/0.85 | ((X1) = (X0)))),
% 0.53/0.85 inference('cnf', [status(esa)], [clause127])).
% 0.53/0.85 thf(zip_derived_cl458, plain,
% 0.53/0.85 ((((sk1) = (sk2))
% 0.53/0.85 | ~ (ssList @ sk1)
% 0.53/0.85 | ~ (ssList @ sk2)
% 0.53/0.85 | ~ (segmentP @ sk1 @ sk2))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl455, zip_derived_cl41])).
% 0.53/0.85 thf(zip_derived_cl89, plain, ( (ssList @ sk1)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.53/0.85 thf(zip_derived_cl88, plain, ( (ssList @ sk2)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl78])).
% 0.53/0.85 thf(zip_derived_cl460, plain, ((((sk1) = (sk2)) | ~ (segmentP @ sk1 @ sk2))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl458, zip_derived_cl89, zip_derived_cl88])).
% 0.53/0.85 thf(zip_derived_cl476, plain,
% 0.53/0.85 ((~ (ssList @ sk2)
% 0.53/0.85 | ((nil) != (sk2))
% 0.53/0.85 | ~ (ssList @ sk1)
% 0.53/0.85 | ((sk1) = (sk2)))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl325, zip_derived_cl460])).
% 0.53/0.85 thf(zip_derived_cl88, plain, ( (ssList @ sk2)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl78])).
% 0.53/0.85 thf(zip_derived_cl89, plain, ( (ssList @ sk1)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.53/0.85 thf(zip_derived_cl478, plain, ((((nil) != (sk2)) | ((sk1) = (sk2)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl476, zip_derived_cl88, zip_derived_cl89])).
% 0.53/0.85 thf(zip_derived_cl479, plain, ((((nil) != (sk2)) | ((sk1) = (nil)))),
% 0.53/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl478])).
% 0.53/0.85 thf(clause100, axiom,
% 0.53/0.85 (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) |
% 0.53/0.85 ( ( V ) = ( U ) ))).
% 0.53/0.85 thf(zip_derived_cl25, plain,
% 0.53/0.85 (![X0 : $i, X1 : $i]:
% 0.53/0.85 (~ (ssList @ X0) | ~ (ssList @ X1) | (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.53/0.85 inference('cnf', [status(esa)], [clause100])).
% 0.53/0.85 thf(clause57, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ U ))).
% 0.53/0.85 thf(zip_derived_cl6, plain,
% 0.53/0.85 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [clause57])).
% 0.53/0.85 thf(co1_15, conjecture,
% 0.53/0.85 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 0.53/0.85 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) ) ))).
% 0.53/0.85 thf(zf_stmt_8, negated_conjecture,
% 0.53/0.85 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 0.53/0.85 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) = ( sk2 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.53/0.85 thf(zip_derived_cl68, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (~ (segmentP @ sk1 @ X0)
% 0.53/0.85 | ~ (segmentP @ sk2 @ X0)
% 0.53/0.85 | ~ (neq @ X0 @ nil)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | ((nil) = (sk2)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.53/0.85 thf(zip_derived_cl138, plain,
% 0.53/0.85 ((~ (ssList @ sk1)
% 0.53/0.85 | ((nil) = (sk2))
% 0.53/0.85 | ~ (ssList @ sk1)
% 0.53/0.85 | ~ (neq @ sk1 @ nil)
% 0.53/0.85 | ~ (segmentP @ sk2 @ sk1))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl68])).
% 0.53/0.85 thf(zip_derived_cl89, plain, ( (ssList @ sk1)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.53/0.85 thf(zip_derived_cl89, plain, ( (ssList @ sk1)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.53/0.85 thf(zip_derived_cl140, plain,
% 0.53/0.85 ((((nil) = (sk2)) | ~ (neq @ sk1 @ nil) | ~ (segmentP @ sk2 @ sk1))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl138, zip_derived_cl89, zip_derived_cl89])).
% 0.53/0.85 thf(zip_derived_cl260, plain,
% 0.53/0.85 ((((sk1) = (nil))
% 0.53/0.85 | ~ (ssList @ sk1)
% 0.53/0.85 | ~ (ssList @ nil)
% 0.53/0.85 | ~ (segmentP @ sk2 @ sk1)
% 0.53/0.85 | ((nil) = (sk2)))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl140])).
% 0.53/0.85 thf(zip_derived_cl89, plain, ( (ssList @ sk1)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl77])).
% 0.53/0.85 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.53/0.85 inference('cnf', [status(esa)], [clause8])).
% 0.53/0.85 thf(zip_derived_cl264, plain,
% 0.53/0.85 ((((sk1) = (nil)) | ~ (segmentP @ sk2 @ sk1) | ((nil) = (sk2)))),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl260, zip_derived_cl89, zip_derived_cl2])).
% 0.53/0.85 thf(zip_derived_cl455, plain, ( (segmentP @ sk2 @ sk1)),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl454, zip_derived_cl88])).
% 0.53/0.85 thf(zip_derived_cl457, plain, ((((sk1) = (nil)) | ((nil) = (sk2)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl455])).
% 0.53/0.85 thf(zip_derived_cl480, plain, (((sk1) = (nil))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl479, zip_derived_cl457])).
% 0.53/0.85 thf(zip_derived_cl481, plain, (( (neq @ sk2 @ nil) | ((nil) != (nil)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl480])).
% 0.53/0.85 thf(zip_derived_cl482, plain, ( (neq @ sk2 @ nil)),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl481])).
% 0.53/0.85 thf(zip_derived_cl78, plain, (((sk2) = (sk4))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.53/0.85 thf(co1_13, conjecture,
% 0.53/0.85 (~( ( ( nil ) != ( sk3 ) ) | ( ( nil ) = ( sk4 ) ) ))).
% 0.53/0.85 thf(zf_stmt_9, negated_conjecture,
% 0.53/0.85 (( ( nil ) != ( sk3 ) ) | ( ( nil ) = ( sk4 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.53/0.85 thf(zip_derived_cl70, plain, ((((nil) != (sk3)) | ((nil) = (sk4)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.53/0.85 thf(zip_derived_cl77, plain, (((sk1) = (sk3))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.85 thf(zip_derived_cl86, plain, ((((nil) != (sk1)) | ((nil) = (sk4)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl77])).
% 0.53/0.85 thf(zip_derived_cl480, plain, (((sk1) = (nil))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl479, zip_derived_cl457])).
% 0.53/0.85 thf(zip_derived_cl487, plain, ((((nil) != (nil)) | ((nil) = (sk4)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl480])).
% 0.53/0.85 thf(zip_derived_cl488, plain, (((nil) = (sk4))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl487])).
% 0.53/0.85 thf(zip_derived_cl511, plain, (((sk2) = (nil))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl488])).
% 0.53/0.85 thf(zip_derived_cl6, plain,
% 0.53/0.85 (![X0 : $i]: (~ (ssList @ X0) | (segmentP @ X0 @ X0))),
% 0.53/0.85 inference('cnf', [status(esa)], [clause57])).
% 0.53/0.85 thf(co1_17, conjecture,
% 0.53/0.85 (~( ( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 0.53/0.85 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) != ( sk1 ) ) ))).
% 0.53/0.85 thf(zf_stmt_10, negated_conjecture,
% 0.53/0.85 (( ~( segmentP @ sk1 @ A ) ) | ( ~( segmentP @ sk2 @ A ) ) |
% 0.53/0.85 ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) | ( ( nil ) != ( sk1 ) )),
% 0.53/0.85 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.53/0.85 thf(zip_derived_cl66, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (~ (segmentP @ sk1 @ X0)
% 0.53/0.85 | ~ (segmentP @ sk2 @ X0)
% 0.53/0.85 | ~ (neq @ X0 @ nil)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | ((nil) != (sk1)))),
% 0.53/0.85 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.53/0.85 thf(zip_derived_cl83, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (~ (segmentP @ nil @ X0)
% 0.53/0.85 | ~ (segmentP @ sk2 @ X0)
% 0.53/0.85 | ~ (neq @ X0 @ nil)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | ((nil) != (sk1)))),
% 0.53/0.85 inference('local_rewriting', [status(thm)], [zip_derived_cl66])).
% 0.53/0.85 thf(zip_derived_cl480, plain, (((sk1) = (nil))),
% 0.53/0.85 inference('clc', [status(thm)], [zip_derived_cl479, zip_derived_cl457])).
% 0.53/0.85 thf(zip_derived_cl485, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (~ (segmentP @ nil @ X0)
% 0.53/0.85 | ~ (segmentP @ sk2 @ X0)
% 0.53/0.85 | ~ (neq @ X0 @ nil)
% 0.53/0.85 | ~ (ssList @ X0)
% 0.53/0.85 | ((nil) != (nil)))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl480])).
% 0.53/0.85 thf(zip_derived_cl486, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (~ (ssList @ X0)
% 0.53/0.85 | ~ (neq @ X0 @ nil)
% 0.53/0.85 | ~ (segmentP @ sk2 @ X0)
% 0.53/0.85 | ~ (segmentP @ nil @ X0))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl485])).
% 0.53/0.85 thf(zip_derived_cl511, plain, (((sk2) = (nil))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl488])).
% 0.53/0.85 thf(zip_derived_cl515, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (~ (ssList @ X0)
% 0.53/0.85 | ~ (neq @ X0 @ nil)
% 0.53/0.85 | ~ (segmentP @ nil @ X0)
% 0.53/0.85 | ~ (segmentP @ nil @ X0))),
% 0.53/0.85 inference('demod', [status(thm)], [zip_derived_cl486, zip_derived_cl511])).
% 0.53/0.85 thf(zip_derived_cl516, plain,
% 0.53/0.85 (![X0 : $i]:
% 0.53/0.85 (~ (segmentP @ nil @ X0) | ~ (neq @ X0 @ nil) | ~ (ssList @ X0))),
% 0.53/0.85 inference('simplify', [status(thm)], [zip_derived_cl515])).
% 0.53/0.85 thf(zip_derived_cl517, plain,
% 0.53/0.85 ((~ (ssList @ nil) | ~ (ssList @ nil) | ~ (neq @ nil @ nil))),
% 0.53/0.85 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl516])).
% 0.53/0.85 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.53/0.85 inference('cnf', [status(esa)], [clause8])).
% 0.53/0.85 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.53/0.85 inference('cnf', [status(esa)], [clause8])).
% 0.53/0.85 thf(zip_derived_cl521, plain, (~ (neq @ nil @ nil)),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl517, zip_derived_cl2, zip_derived_cl2])).
% 0.53/0.85 thf(zip_derived_cl546, plain, ($false),
% 0.53/0.85 inference('demod', [status(thm)],
% 0.53/0.85 [zip_derived_cl482, zip_derived_cl511, zip_derived_cl521])).
% 0.53/0.85
% 0.53/0.85 % SZS output end Refutation
% 0.53/0.85
% 0.53/0.85
% 0.53/0.85 % Terminating...
% 1.43/1.00 % Runner terminated.
% 1.43/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------