%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC384-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DNaZshV0Ny true
% Computer : n021.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 Oct 2 04:59:36 PM UTC 2025
% Result : Unsatisfiable 0.59s 0.96s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC384-1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DNaZshV0Ny true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:12:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.69 % Total configuration time : 435
% 0.56/0.69 % Estimated wc time : 1092
% 0.56/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.96 % Solved by fo/fo7.sh.
% 0.59/0.96 % done 408 iterations in 0.175s
% 0.59/0.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.96 % SZS output start Refutation
% 0.59/0.96 thf(nil_type, type, nil: $i).
% 0.59/0.96 thf(cons_type, type, cons: $i > $i > $i).
% 0.59/0.96 thf(sk2_type, type, sk2: $i).
% 0.59/0.96 thf(sk6_type, type, sk6: $i).
% 0.59/0.96 thf(sk4_type, type, sk4: $i).
% 0.59/0.96 thf(ssItem_type, type, ssItem: $i > $o).
% 0.59/0.96 thf(sk5_type, type, sk5: $i).
% 0.59/0.96 thf(sk3_type, type, sk3: $i).
% 0.59/0.96 thf(neq_type, type, neq: $i > $i > $o).
% 0.59/0.96 thf(app_type, type, app: $i > $i > $i).
% 0.59/0.96 thf(ssList_type, type, ssList: $i > $o).
% 0.59/0.96 thf(sk7_type, type, sk7: $i).
% 0.59/0.96 thf(sk1_type, type, sk1: $i).
% 0.59/0.96 thf(singletonP_type, type, singletonP: $i > $o).
% 0.59/0.96 thf(segmentP_type, type, segmentP: $i > $i > $o).
% 0.59/0.96 thf(co1_12, conjecture,
% 0.59/0.96 (~( ( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 0.59/0.96 thf(zf_stmt_0, negated_conjecture,
% 0.59/0.96 (( ( nil ) = ( sk4 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.59/0.96 thf(zip_derived_cl85, plain,
% 0.59/0.96 ((((nil) = (sk4)) | ((cons @ sk5 @ nil) = (sk3)))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.59/0.96 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.59/0.96 thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.59/0.96 thf(zip_derived_cl92, plain, (((sk2) = (sk4))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.96 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.59/0.96 thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl109, plain,
% 0.59/0.96 ((((nil) = (sk2)) | ((cons @ sk5 @ nil) = (sk1)))),
% 0.59/0.96 inference('demod', [status(thm)],
% 0.59/0.96 [zip_derived_cl85, zip_derived_cl92, zip_derived_cl91])).
% 0.59/0.96 thf(clause116, axiom,
% 0.59/0.96 (( ( cons @ U @ nil ) != ( V ) ) | ( ~( ssItem @ U ) ) |
% 0.59/0.96 ( ~( ssList @ V ) ) | ( singletonP @ V ))).
% 0.59/0.96 thf(zip_derived_cl35, plain,
% 0.59/0.96 (![X0 : $i, X1 : $i]:
% 0.59/0.96 (((cons @ X1 @ nil) != (X0))
% 0.59/0.96 | ~ (ssItem @ X1)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | (singletonP @ X0))),
% 0.59/0.96 inference('cnf', [status(esa)], [clause116])).
% 0.59/0.96 thf(zip_derived_cl122, plain,
% 0.59/0.96 (![X0 : $i]:
% 0.59/0.96 (((sk1) != (X0))
% 0.59/0.96 | ((nil) = (sk2))
% 0.59/0.96 | (singletonP @ X0)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | ~ (ssItem @ sk5))),
% 0.59/0.96 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl35])).
% 0.59/0.96 thf(co1_8, conjecture, (~( ( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 ) ))).
% 0.59/0.96 thf(zf_stmt_3, negated_conjecture,
% 0.59/0.96 (( ( nil ) = ( sk4 ) ) | ( ssItem @ sk5 )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.59/0.96 thf(zip_derived_cl89, plain, ((((nil) = (sk4)) | (ssItem @ sk5))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.96 thf(zip_derived_cl92, plain, (((sk2) = (sk4))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.96 thf(zip_derived_cl106, plain, ((((nil) = (sk2)) | (ssItem @ sk5))),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl92])).
% 0.59/0.96 thf(zip_derived_cl165, plain,
% 0.59/0.96 (![X0 : $i]:
% 0.59/0.96 (~ (ssList @ X0)
% 0.59/0.96 | (singletonP @ X0)
% 0.59/0.96 | ((nil) = (sk2))
% 0.59/0.96 | ((sk1) != (X0)))),
% 0.59/0.96 inference('clc', [status(thm)], [zip_derived_cl122, zip_derived_cl106])).
% 0.59/0.96 thf(zip_derived_cl166, plain,
% 0.59/0.96 ((((nil) = (sk2)) | (singletonP @ sk1) | ~ (ssList @ sk1))),
% 0.59/0.96 inference('eq_res', [status(thm)], [zip_derived_cl165])).
% 0.59/0.96 thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 0.59/0.96 thf(zf_stmt_4, negated_conjecture, (ssList @ sk3),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_3])).
% 0.59/0.96 thf(zip_derived_cl94, plain, ( (ssList @ sk3)),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl98, plain, ( (ssList @ sk1)),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.59/0.96 thf(zip_derived_cl167, plain, ((((nil) = (sk2)) | (singletonP @ sk1))),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl166, zip_derived_cl98])).
% 0.59/0.96 thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 0.59/0.96 thf(zf_stmt_5, negated_conjecture, (neq @ sk2 @ nil),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.59/0.96 thf(zip_derived_cl90, plain, ( (neq @ sk2 @ nil)),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.96 thf(zip_derived_cl171, plain, (( (neq @ nil @ nil) | (singletonP @ sk1))),
% 0.59/0.96 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl90])).
% 0.59/0.96 thf(co1_19, conjecture,
% 0.59/0.96 (~( ( ( nil ) = ( sk3 ) ) |
% 0.59/0.96 ( ( app @ ( app @ sk6 @ sk3 ) @ sk7 ) = ( sk4 ) ) ))).
% 0.59/0.96 thf(zf_stmt_6, negated_conjecture,
% 0.59/0.96 (( ( nil ) = ( sk3 ) ) | ( ( app @ ( app @ sk6 @ sk3 ) @ sk7 ) = ( sk4 ) )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_19])).
% 0.59/0.96 thf(zip_derived_cl78, plain,
% 0.59/0.96 ((((nil) = (sk3)) | ((app @ (app @ sk6 @ sk3) @ sk7) = (sk4)))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl92, plain, (((sk2) = (sk4))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.96 thf(zip_derived_cl134, plain,
% 0.59/0.96 ((((nil) = (sk1)) | ((app @ (app @ sk6 @ sk1) @ sk7) = (sk2)))),
% 0.59/0.96 inference('demod', [status(thm)],
% 0.59/0.96 [zip_derived_cl78, zip_derived_cl91, zip_derived_cl91,
% 0.59/0.96 zip_derived_cl92])).
% 0.59/0.96 thf(clause173, axiom,
% 0.59/0.96 (( ( app @ ( app @ U @ V ) @ W ) != ( X ) ) | ( ~( ssList @ W ) ) |
% 0.59/0.96 ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ X ) ) |
% 0.59/0.96 ( segmentP @ X @ V ))).
% 0.59/0.96 thf(zip_derived_cl69, plain,
% 0.59/0.96 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.96 (((app @ (app @ X1 @ X2) @ X3) != (X0))
% 0.59/0.96 | ~ (ssList @ X3)
% 0.59/0.96 | ~ (ssList @ X1)
% 0.59/0.96 | ~ (ssList @ X2)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | (segmentP @ X0 @ X2))),
% 0.59/0.96 inference('cnf', [status(esa)], [clause173])).
% 0.59/0.96 thf(zip_derived_cl1434, plain,
% 0.59/0.96 (![X0 : $i]:
% 0.59/0.96 (((sk2) != (X0))
% 0.59/0.96 | ((nil) = (sk1))
% 0.59/0.96 | (segmentP @ X0 @ sk1)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | ~ (ssList @ sk1)
% 0.59/0.96 | ~ (ssList @ sk6)
% 0.59/0.96 | ~ (ssList @ sk7))),
% 0.59/0.96 inference('sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl69])).
% 0.59/0.96 thf(zip_derived_cl98, plain, ( (ssList @ sk1)),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.59/0.96 thf(zip_derived_cl1442, plain,
% 0.59/0.96 (![X0 : $i]:
% 0.59/0.96 (((sk2) != (X0))
% 0.59/0.96 | ((nil) = (sk1))
% 0.59/0.96 | (segmentP @ X0 @ sk1)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | ~ (ssList @ sk6)
% 0.59/0.96 | ~ (ssList @ sk7))),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl1434, zip_derived_cl98])).
% 0.59/0.96 thf(co1_16, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssList @ sk6 ) ))).
% 0.59/0.96 thf(zf_stmt_7, negated_conjecture,
% 0.59/0.96 (( ( nil ) = ( sk3 ) ) | ( ssList @ sk6 )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.59/0.96 thf(zip_derived_cl81, plain, ((((nil) = (sk3)) | (ssList @ sk6))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl100, plain, ((((nil) = (sk1)) | (ssList @ sk6))),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl91])).
% 0.59/0.96 thf(zip_derived_cl1473, plain,
% 0.59/0.96 (![X0 : $i]:
% 0.59/0.96 (~ (ssList @ sk7)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | (segmentP @ X0 @ sk1)
% 0.59/0.96 | ((nil) = (sk1))
% 0.59/0.96 | ((sk2) != (X0)))),
% 0.59/0.96 inference('clc', [status(thm)], [zip_derived_cl1442, zip_derived_cl100])).
% 0.59/0.96 thf(co1_17, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssList @ sk7 ) ))).
% 0.59/0.96 thf(zf_stmt_8, negated_conjecture,
% 0.59/0.96 (( ( nil ) = ( sk3 ) ) | ( ssList @ sk7 )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.59/0.96 thf(zip_derived_cl80, plain, ((((nil) = (sk3)) | (ssList @ sk7))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl99, plain, ((((nil) = (sk1)) | (ssList @ sk7))),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl91])).
% 0.59/0.96 thf(zip_derived_cl1474, plain,
% 0.59/0.96 (![X0 : $i]:
% 0.59/0.96 (((sk2) != (X0))
% 0.59/0.96 | ((nil) = (sk1))
% 0.59/0.96 | (segmentP @ X0 @ sk1)
% 0.59/0.96 | ~ (ssList @ X0))),
% 0.59/0.96 inference('clc', [status(thm)], [zip_derived_cl1473, zip_derived_cl99])).
% 0.59/0.96 thf(zip_derived_cl1485, plain,
% 0.59/0.96 ((~ (ssList @ sk2) | (segmentP @ sk2 @ sk1) | ((nil) = (sk1)))),
% 0.59/0.96 inference('eq_res', [status(thm)], [zip_derived_cl1474])).
% 0.59/0.96 thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.59/0.96 thf(zf_stmt_9, negated_conjecture, (ssList @ sk4),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_4])).
% 0.59/0.96 thf(zip_derived_cl93, plain, ( (ssList @ sk4)),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.59/0.96 thf(zip_derived_cl92, plain, (((sk2) = (sk4))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.96 thf(zip_derived_cl97, plain, ( (ssList @ sk2)),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl92])).
% 0.59/0.96 thf(zip_derived_cl1486, plain, (( (segmentP @ sk2 @ sk1) | ((nil) = (sk1)))),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl1485, zip_derived_cl97])).
% 0.59/0.96 thf(co1_18, conjecture,
% 0.59/0.96 (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) ) ))).
% 0.59/0.96 thf(zf_stmt_10, negated_conjecture,
% 0.59/0.96 (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk5 @ nil ) = ( sk3 ) )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.59/0.96 thf(zip_derived_cl79, plain,
% 0.59/0.96 ((((nil) = (sk3)) | ((cons @ sk5 @ nil) = (sk3)))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl126, plain,
% 0.59/0.96 ((((nil) = (sk1)) | ((cons @ sk5 @ nil) = (sk1)))),
% 0.59/0.96 inference('demod', [status(thm)],
% 0.59/0.96 [zip_derived_cl79, zip_derived_cl91, zip_derived_cl91])).
% 0.59/0.96 thf(zip_derived_cl35, plain,
% 0.59/0.96 (![X0 : $i, X1 : $i]:
% 0.59/0.96 (((cons @ X1 @ nil) != (X0))
% 0.59/0.96 | ~ (ssItem @ X1)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | (singletonP @ X0))),
% 0.59/0.96 inference('cnf', [status(esa)], [clause116])).
% 0.59/0.96 thf(zip_derived_cl129, plain,
% 0.59/0.96 (![X0 : $i]:
% 0.59/0.96 (((sk1) != (X0))
% 0.59/0.96 | ((nil) = (sk1))
% 0.59/0.96 | (singletonP @ X0)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | ~ (ssItem @ sk5))),
% 0.59/0.96 inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl35])).
% 0.59/0.96 thf(co1_9, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 ) ))).
% 0.59/0.96 thf(zf_stmt_11, negated_conjecture,
% 0.59/0.96 (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk5 )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.59/0.96 thf(zip_derived_cl88, plain, ((((nil) = (sk3)) | (ssItem @ sk5))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.59/0.96 thf(zip_derived_cl91, plain, (((sk1) = (sk3))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.59/0.96 thf(zip_derived_cl103, plain, ((((nil) = (sk1)) | (ssItem @ sk5))),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl91])).
% 0.59/0.96 thf(zip_derived_cl168, plain,
% 0.59/0.96 (![X0 : $i]:
% 0.59/0.96 (~ (ssList @ X0)
% 0.59/0.96 | (singletonP @ X0)
% 0.59/0.96 | ((nil) = (sk1))
% 0.59/0.96 | ((sk1) != (X0)))),
% 0.59/0.96 inference('clc', [status(thm)], [zip_derived_cl129, zip_derived_cl103])).
% 0.59/0.96 thf(zip_derived_cl169, plain,
% 0.59/0.96 ((((nil) = (sk1)) | (singletonP @ sk1) | ~ (ssList @ sk1))),
% 0.59/0.96 inference('eq_res', [status(thm)], [zip_derived_cl168])).
% 0.59/0.96 thf(zip_derived_cl98, plain, ( (ssList @ sk1)),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl91])).
% 0.59/0.96 thf(zip_derived_cl170, plain, ((((nil) = (sk1)) | (singletonP @ sk1))),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl169, zip_derived_cl98])).
% 0.59/0.96 thf(co1_22, conjecture,
% 0.59/0.96 (~( ( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( singletonP @ sk1 ) ) ))).
% 0.59/0.96 thf(zf_stmt_12, negated_conjecture,
% 0.59/0.96 (( ~( segmentP @ sk2 @ sk1 ) ) | ( ~( singletonP @ sk1 ) )),
% 0.59/0.96 inference('cnf.neg', [status(esa)], [co1_22])).
% 0.59/0.96 thf(zip_derived_cl75, plain,
% 0.59/0.96 ((~ (segmentP @ sk2 @ sk1) | ~ (singletonP @ sk1))),
% 0.59/0.96 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.59/0.96 thf(zip_derived_cl174, plain, ((((nil) = (sk1)) | ~ (segmentP @ sk2 @ sk1))),
% 0.59/0.96 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl75])).
% 0.59/0.96 thf(zip_derived_cl1487, plain, (((nil) = (sk1))),
% 0.59/0.96 inference('clc', [status(thm)], [zip_derived_cl1486, zip_derived_cl174])).
% 0.59/0.96 thf(clause11, axiom, (~( singletonP @ nil ))).
% 0.59/0.96 thf(zip_derived_cl3, plain, (~ (singletonP @ nil)),
% 0.59/0.96 inference('cnf', [status(esa)], [clause11])).
% 0.59/0.96 thf(zip_derived_cl1497, plain, ( (neq @ nil @ nil)),
% 0.59/0.96 inference('demod', [status(thm)],
% 0.59/0.96 [zip_derived_cl171, zip_derived_cl1487, zip_derived_cl3])).
% 0.59/0.96 thf(clause115, axiom,
% 0.59/0.96 (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) |
% 0.59/0.96 ( ~( ssList @ U ) ))).
% 0.59/0.96 thf(zip_derived_cl34, plain,
% 0.59/0.96 (![X0 : $i, X1 : $i]:
% 0.59/0.96 (((X1) != (X0))
% 0.59/0.96 | ~ (neq @ X1 @ X0)
% 0.59/0.96 | ~ (ssList @ X0)
% 0.59/0.96 | ~ (ssList @ X1))),
% 0.59/0.96 inference('cnf', [status(esa)], [clause115])).
% 0.59/0.96 thf(zip_derived_cl116, plain,
% 0.59/0.96 (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 0.59/0.96 inference('eq_res', [status(thm)], [zip_derived_cl34])).
% 0.59/0.96 thf(zip_derived_cl117, plain,
% 0.59/0.96 (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 0.59/0.96 inference('simplify', [status(thm)], [zip_derived_cl116])).
% 0.59/0.96 thf(zip_derived_cl1547, plain, (~ (ssList @ nil)),
% 0.59/0.96 inference('sup-', [status(thm)], [zip_derived_cl1497, zip_derived_cl117])).
% 0.59/0.96 thf(clause8, axiom, (ssList @ nil)).
% 0.59/0.96 thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.59/0.96 inference('cnf', [status(esa)], [clause8])).
% 0.59/0.96 thf(zip_derived_cl1549, plain, ($false),
% 0.59/0.96 inference('demod', [status(thm)], [zip_derived_cl1547, zip_derived_cl2])).
% 0.59/0.96
% 0.59/0.96 % SZS output end Refutation
% 0.59/0.96
% 0.59/0.96
% 0.59/0.96 % Terminating...
% 1.89/1.08 % Runner terminated.
% 1.89/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------