%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC412-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.840JtSHVua true
% Computer : n015.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 04:59:42 PM UTC 2025
% Result : Unsatisfiable 0.58s 1.00s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC412-1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.840JtSHVua true
% 0.13/0.36 % Computer : n015.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 : Wed Oct 1 17:15:38 EDT 2025
% 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.00 % Solved by fo/fo1_av.sh.
% 0.58/1.00 % done 153 iterations in 0.123s
% 0.58/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.00 % SZS output start Refutation
% 0.58/1.00 thf(nil_type, type, nil: $i).
% 0.58/1.00 thf(sk6_type, type, sk6: $i).
% 0.58/1.00 thf(cons_type, type, cons: $i > $i > $i).
% 0.58/1.00 thf(sk2_type, type, sk2: $i).
% 0.58/1.00 thf(sk5_type, type, sk5: $i).
% 0.58/1.00 thf(sk4_type, type, sk4: $i).
% 0.58/1.00 thf(sk8_type, type, sk8: $i).
% 0.58/1.00 thf(ssItem_type, type, ssItem: $i > $o).
% 0.58/1.00 thf(sk3_type, type, sk3: $i).
% 0.58/1.00 thf(sk7_type, type, sk7: $i).
% 0.58/1.00 thf(sk9_type, type, sk9: $i).
% 0.58/1.00 thf(app_type, type, app: $i > $i > $i).
% 0.58/1.00 thf(ssList_type, type, ssList: $i > $o).
% 0.58/1.00 thf(sk13_type, type, sk13: $i).
% 0.58/1.00 thf(sk1_type, type, sk1: $i).
% 0.58/1.00 thf(sk11_type, type, sk11: $i).
% 0.58/1.00 thf(sk12_type, type, sk12: $i).
% 0.58/1.00 thf(sk10_type, type, sk10: $i).
% 0.58/1.00 thf(co1_14, conjecture,
% 0.58/1.00 (~( ( ssList @ sk13 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.00 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.00 (( ssList @ sk13 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.58/1.00 thf(zip_derived_cl198, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 ( (ssList @ sk13)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2)
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ~ (ssList @ X2)
% 0.58/1.00 | ~ (ssItem @ X1)
% 0.58/1.00 | ~ (ssItem @ X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.00 thf('0', plain,
% 0.58/1.00 (( (ssList @ sk13)) |
% 0.58/1.00 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl198])).
% 0.58/1.00 thf(co1_13, conjecture,
% 0.58/1.00 (~( ( ssItem @ sk12 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.00 thf(zf_stmt_1, negated_conjecture,
% 0.58/1.00 (( ssItem @ sk12 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.58/1.00 thf(zip_derived_cl197, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 ( (ssItem @ sk12)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2)
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ~ (ssList @ X2)
% 0.58/1.00 | ~ (ssItem @ X1)
% 0.58/1.00 | ~ (ssItem @ X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.00 thf('1', plain,
% 0.58/1.00 (( (ssItem @ sk12)) |
% 0.58/1.00 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl197])).
% 0.58/1.00 thf(co1_35, conjecture,
% 0.58/1.00 (~( ( ssItem @ sk8 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) ) ))).
% 0.58/1.00 thf(zf_stmt_2, negated_conjecture,
% 0.58/1.00 (( ssItem @ sk8 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_35])).
% 0.58/1.00 thf(zip_derived_cl219, plain,
% 0.58/1.00 (( (ssItem @ sk8)
% 0.58/1.00 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/1.00 thf('2', plain,
% 0.58/1.00 (( (ssItem @ sk8)) |
% 0.58/1.00 (((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2)))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl219])).
% 0.58/1.00 thf(co1_39, conjecture,
% 0.58/1.00 (~( ( ssItem @ sk9 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) ) ))).
% 0.58/1.00 thf(zf_stmt_3, negated_conjecture,
% 0.58/1.00 (( ssItem @ sk9 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_39])).
% 0.58/1.00 thf(zip_derived_cl223, plain,
% 0.58/1.00 (( (ssItem @ sk9)
% 0.58/1.00 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.00 thf('3', plain,
% 0.58/1.00 (( (ssItem @ sk9)) |
% 0.58/1.00 (((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2)))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl223])).
% 0.58/1.00 thf(co1_21, conjecture, (~( ( ssItem @ sk8 ) | ( ssItem @ sk5 ) ))).
% 0.58/1.00 thf(zf_stmt_4, negated_conjecture, (( ssItem @ sk8 ) | ( ssItem @ sk5 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_21])).
% 0.58/1.00 thf(zip_derived_cl205, plain, (( (ssItem @ sk8) | (ssItem @ sk5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/1.00 thf('4', plain, (( (ssItem @ sk8)) | ( (ssItem @ sk5))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl205])).
% 0.58/1.00 thf(co1_22, conjecture, (~( ( ssItem @ sk9 ) | ( ssItem @ sk5 ) ))).
% 0.58/1.00 thf(zf_stmt_5, negated_conjecture, (( ssItem @ sk9 ) | ( ssItem @ sk5 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_22])).
% 0.58/1.00 thf(zip_derived_cl206, plain, (( (ssItem @ sk9) | (ssItem @ sk5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.58/1.00 thf('5', plain, (( (ssItem @ sk9)) | ( (ssItem @ sk5))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl206])).
% 0.58/1.00 thf(co1_23, conjecture, (~( ( ssList @ sk10 ) | ( ssItem @ sk5 ) ))).
% 0.58/1.00 thf(zf_stmt_6, negated_conjecture, (( ssList @ sk10 ) | ( ssItem @ sk5 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_23])).
% 0.58/1.00 thf(zip_derived_cl207, plain, (( (ssList @ sk10) | (ssItem @ sk5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.58/1.00 thf('6', plain, (( (ssList @ sk10)) | ( (ssItem @ sk5))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl207])).
% 0.58/1.00 thf(co1_40, conjecture,
% 0.58/1.00 (~( ( ssList @ sk10 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) ) ))).
% 0.58/1.00 thf(zf_stmt_7, negated_conjecture,
% 0.58/1.00 (( ssList @ sk10 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_40])).
% 0.58/1.00 thf(zip_derived_cl224, plain,
% 0.58/1.00 (( (ssList @ sk10)
% 0.58/1.00 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.58/1.00 thf('7', plain,
% 0.58/1.00 (( (ssList @ sk10)) |
% 0.58/1.00 (((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2)))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl224])).
% 0.58/1.00 thf(co1_34, conjecture, (~( ( ssItem @ sk8 ) | ( ssList @ sk7 ) ))).
% 0.58/1.00 thf(zf_stmt_8, negated_conjecture, (( ssItem @ sk8 ) | ( ssList @ sk7 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_34])).
% 0.58/1.00 thf(zip_derived_cl218, plain, (( (ssItem @ sk8) | (ssList @ sk7))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.58/1.00 thf('8', plain, (( (ssItem @ sk8)) | ( (ssList @ sk7))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl218])).
% 0.58/1.00 thf(co1_36, conjecture, (~( ( ssItem @ sk9 ) | ( ssList @ sk7 ) ))).
% 0.58/1.00 thf(zf_stmt_9, negated_conjecture, (( ssItem @ sk9 ) | ( ssList @ sk7 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_36])).
% 0.58/1.00 thf(zip_derived_cl220, plain, (( (ssItem @ sk9) | (ssList @ sk7))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/1.00 thf('9', plain, (( (ssItem @ sk9)) | ( (ssList @ sk7))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl220])).
% 0.58/1.00 thf(co1_37, conjecture, (~( ( ssList @ sk10 ) | ( ssList @ sk7 ) ))).
% 0.58/1.00 thf(zf_stmt_10, negated_conjecture, (( ssList @ sk10 ) | ( ssList @ sk7 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_37])).
% 0.58/1.00 thf(zip_derived_cl221, plain, (( (ssList @ sk10) | (ssList @ sk7))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.58/1.00 thf('10', plain, (( (ssList @ sk7)) | ( (ssList @ sk10))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl221])).
% 0.58/1.00 thf(co1_24, conjecture,
% 0.58/1.00 (~( ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ssItem @ sk5 ) ))).
% 0.58/1.00 thf(zf_stmt_11, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ssItem @ sk5 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_24])).
% 0.58/1.00 thf(zip_derived_cl208, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))
% 0.58/1.00 | (ssItem @ sk5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.58/1.00 thf('11', plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))) |
% 0.58/1.00 ( (ssItem @ sk5))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl208])).
% 0.58/1.00 thf(co1_38, conjecture,
% 0.58/1.00 (~( ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ssList @ sk7 ) ))).
% 0.58/1.00 thf(zf_stmt_12, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ssList @ sk7 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_38])).
% 0.58/1.00 thf(zip_derived_cl222, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))
% 0.58/1.00 | (ssList @ sk7))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.58/1.00 thf('12', plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))) |
% 0.58/1.00 ( (ssList @ sk7))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl222])).
% 0.58/1.00 thf(co1_41, conjecture,
% 0.58/1.00 (~( ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) ) ))).
% 0.58/1.00 thf(zf_stmt_13, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_41])).
% 0.58/1.00 thf(zip_derived_cl225, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))
% 0.58/1.00 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.58/1.00 thf('13', plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))) |
% 0.58/1.00 (((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2)))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl225])).
% 0.58/1.00 thf(co1_20, conjecture,
% 0.58/1.00 (~( ( ( app @ ( app @ ( cons @ A @ nil ) @ C ) @ ( cons @ B @ nil ) ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ B @ nil ) @ C ) @ ( cons @ A @ nil ) ) =
% 0.58/1.00 ( sk3 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) ) ))).
% 0.58/1.00 thf(zf_stmt_14, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ A @ nil ) @ C ) @ ( cons @ B @ nil ) ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ B @ nil ) @ C ) @ ( cons @ A @ nil ) ) =
% 0.58/1.00 ( sk3 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_20])).
% 0.58/1.00 thf(zip_derived_cl204, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil)) != (sk4))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil)) = (sk3))
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ~ (ssItem @ X0)
% 0.58/1.00 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.58/1.00 thf(zip_derived_cl270, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2)))
% 0.58/1.00 <= ((((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl204])).
% 0.58/1.00 thf(co1_7, conjecture,
% 0.58/1.00 (~( ( ( app @ ( app @ ( cons @ D @ nil ) @ F ) @ ( cons @ E @ nil ) ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ E @ nil ) @ F ) @ ( cons @ D @ nil ) ) =
% 0.58/1.00 ( sk3 ) ) |
% 0.58/1.00 ( ~( ssList @ F ) ) | ( ~( ssItem @ E ) ) | ( ~( ssItem @ D ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.00 thf(zf_stmt_15, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ D @ nil ) @ F ) @ ( cons @ E @ nil ) ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ E @ nil ) @ F ) @ ( cons @ D @ nil ) ) =
% 0.58/1.00 ( sk3 ) ) |
% 0.58/1.00 ( ~( ssList @ F ) ) | ( ~( ssItem @ E ) ) | ( ~( ssItem @ D ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_7])).
% 0.58/1.00 thf(zip_derived_cl191, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil)) != (sk4))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil)) = (sk3))
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ~ (ssItem @ X0)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ~ (ssItem @ X3))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.58/1.00 thf(zip_derived_cl243, plain,
% 0.58/1.00 ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4))))
% 0.58/1.00 <= ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl191])).
% 0.58/1.00 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.58/1.00 thf(zf_stmt_16, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.58/1.00 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.58/1.00 thf(zip_derived_cl345, plain,
% 0.58/1.00 ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk2))))
% 0.58/1.00 <= ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl189])).
% 0.58/1.00 thf(zip_derived_cl347, plain,
% 0.58/1.00 (((~ (ssItem @ sk5)
% 0.58/1.00 | ~ (ssList @ sk7)
% 0.58/1.00 | ~ (ssItem @ sk6)
% 0.58/1.00 | ((sk2) != (sk2))))
% 0.58/1.00 <= ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))) &
% 0.58/1.00 (((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2))))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl270, zip_derived_cl345])).
% 0.58/1.00 thf(zip_derived_cl349, plain,
% 0.58/1.00 (((~ (ssItem @ sk6) | ~ (ssList @ sk7) | ~ (ssItem @ sk5)))
% 0.58/1.00 <= ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))) &
% 0.58/1.00 (((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2))))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl347])).
% 0.58/1.00 thf('14', plain,
% 0.58/1.00 (~
% 0.58/1.00 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))) |
% 0.58/1.00 ~
% 0.58/1.00 (((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2))) |
% 0.58/1.00 ~ ( (ssItem @ sk5)) | ~ ( (ssItem @ sk6)) | ~ ( (ssList @ sk7))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl349])).
% 0.58/1.00 thf(co1_30, conjecture, (~( ( ssItem @ sk8 ) | ( ssItem @ sk6 ) ))).
% 0.58/1.00 thf(zf_stmt_17, negated_conjecture, (( ssItem @ sk8 ) | ( ssItem @ sk6 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_30])).
% 0.58/1.00 thf(zip_derived_cl214, plain, (( (ssItem @ sk8) | (ssItem @ sk6))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.58/1.00 thf('15', plain, (( (ssItem @ sk8)) | ( (ssItem @ sk6))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl214])).
% 0.58/1.00 thf(co1_31, conjecture, (~( ( ssItem @ sk9 ) | ( ssItem @ sk6 ) ))).
% 0.58/1.00 thf(zf_stmt_18, negated_conjecture, (( ssItem @ sk9 ) | ( ssItem @ sk6 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_31])).
% 0.58/1.00 thf(zip_derived_cl215, plain, (( (ssItem @ sk9) | (ssItem @ sk6))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.58/1.00 thf('16', plain, (( (ssItem @ sk9)) | ( (ssItem @ sk6))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl215])).
% 0.58/1.00 thf(co1_32, conjecture, (~( ( ssList @ sk10 ) | ( ssItem @ sk6 ) ))).
% 0.58/1.00 thf(zf_stmt_19, negated_conjecture, (( ssList @ sk10 ) | ( ssItem @ sk6 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_32])).
% 0.58/1.00 thf(zip_derived_cl216, plain, (( (ssList @ sk10) | (ssItem @ sk6))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.58/1.00 thf('17', plain, (( (ssItem @ sk6)) | ( (ssList @ sk10))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl216])).
% 0.58/1.00 thf(co1_33, conjecture,
% 0.58/1.00 (~( ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ssItem @ sk6 ) ))).
% 0.58/1.00 thf(zf_stmt_20, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ssItem @ sk6 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_33])).
% 0.58/1.00 thf(zip_derived_cl217, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))
% 0.58/1.00 | (ssItem @ sk6))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.58/1.00 thf('18', plain,
% 0.58/1.00 (( (ssItem @ sk6)) |
% 0.58/1.00 (((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2)))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl217])).
% 0.58/1.00 thf(co1_11, conjecture,
% 0.58/1.00 (~( ( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.00 thf(zf_stmt_21, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk8 @ nil ) @ ( cons @ sk9 @ nil ) ) @ sk10 ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.58/1.00 thf(zip_derived_cl195, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 0.58/1.00 = (sk2))
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2)
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ~ (ssList @ X2)
% 0.58/1.00 | ~ (ssItem @ X1)
% 0.58/1.00 | ~ (ssItem @ X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.58/1.00 thf(zip_derived_cl252, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2)))
% 0.58/1.00 <= ((((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 0.58/1.00 = (sk2))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.58/1.00 thf(zip_derived_cl345, plain,
% 0.58/1.00 ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk2))))
% 0.58/1.00 <= ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))))),
% 0.58/1.00 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl189])).
% 0.58/1.00 thf(zip_derived_cl346, plain,
% 0.58/1.00 (((~ (ssItem @ sk8)
% 0.58/1.00 | ~ (ssList @ sk10)
% 0.58/1.00 | ~ (ssItem @ sk9)
% 0.58/1.00 | ((sk2) != (sk2))))
% 0.58/1.00 <= ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))) &
% 0.58/1.00 (((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 0.58/1.00 = (sk2))))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl252, zip_derived_cl345])).
% 0.58/1.00 thf(zip_derived_cl348, plain,
% 0.58/1.00 (((~ (ssItem @ sk9) | ~ (ssList @ sk10) | ~ (ssItem @ sk8)))
% 0.58/1.00 <= ((![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))) &
% 0.58/1.00 (((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10)
% 0.58/1.00 = (sk2))))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl346])).
% 0.58/1.00 thf('19', plain,
% 0.58/1.00 (~
% 0.58/1.00 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4)))) |
% 0.58/1.00 ~ ( (ssItem @ sk8)) | ~ ( (ssItem @ sk9)) |
% 0.58/1.00 ~
% 0.58/1.00 (((app @ (app @ (cons @ sk8 @ nil) @ (cons @ sk9 @ nil)) @ sk10) = (sk2))) |
% 0.58/1.00 ~ ( (ssList @ sk10))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl348])).
% 0.58/1.00 thf(co1_12, conjecture,
% 0.58/1.00 (~( ( ssItem @ sk11 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.00 thf(zf_stmt_22, negated_conjecture,
% 0.58/1.00 (( ssItem @ sk11 ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.58/1.00 thf(zip_derived_cl196, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 ( (ssItem @ sk11)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2)
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ~ (ssList @ X2)
% 0.58/1.00 | ~ (ssItem @ X1)
% 0.58/1.00 | ~ (ssItem @ X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.58/1.00 thf('20', plain,
% 0.58/1.00 (( (ssItem @ sk11)) |
% 0.58/1.00 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.58/1.00 thf(co1_28, conjecture,
% 0.58/1.00 (~( ( ( app @
% 0.58/1.00 ( app @ ( cons @ sk11 @ nil ) @ sk13 ) @ ( cons @ sk12 @ nil ) ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ssItem @ sk5 ) ))).
% 0.58/1.00 thf(zf_stmt_23, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk11 @ nil ) @ sk13 ) @ ( cons @ sk12 @ nil ) ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ssItem @ sk5 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_28])).
% 0.58/1.00 thf(zip_derived_cl212, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk11 @ nil) @ sk13) @ (cons @ sk12 @ nil))
% 0.58/1.00 = (sk2))
% 0.58/1.00 | (ssItem @ sk5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_23])).
% 0.58/1.00 thf(zip_derived_cl286, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk11 @ nil) @ sk13) @ (cons @ sk12 @ nil))
% 0.58/1.00 = (sk2)))
% 0.58/1.00 <= ((((app @ (app @ (cons @ sk11 @ nil) @ sk13) @ (cons @ sk12 @ nil))
% 0.58/1.00 = (sk2))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl212])).
% 0.58/1.00 thf(co1_15, conjecture,
% 0.58/1.00 (~( ( ( app @
% 0.58/1.00 ( app @ ( cons @ sk11 @ nil ) @ sk13 ) @ ( cons @ sk12 @ nil ) ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.00 thf(zf_stmt_24, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk11 @ nil ) @ sk13 ) @ ( cons @ sk12 @ nil ) ) =
% 0.58/1.00 ( sk2 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.58/1.00 thf(zip_derived_cl199, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (((app @ (app @ (cons @ sk11 @ nil) @ sk13) @ (cons @ sk12 @ nil))
% 0.58/1.00 = (sk2))
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2)
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ~ (ssList @ X2)
% 0.58/1.00 | ~ (ssItem @ X1)
% 0.58/1.00 | ~ (ssItem @ X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_24])).
% 0.58/1.00 thf('21', plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk11 @ nil) @ sk13) @ (cons @ sk12 @ nil))
% 0.58/1.00 = (sk2))) |
% 0.58/1.00 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl199])).
% 0.58/1.00 thf('22', plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk11 @ nil) @ sk13) @ (cons @ sk12 @ nil))
% 0.58/1.00 = (sk2)))),
% 0.58/1.00 inference('sat_resolution*', [status(thm)],
% 0.58/1.00 ['2', '3', '4', '5', '6', '7', '8', '9', '10', '11', '12',
% 0.58/1.00 '13', '14', '15', '16', '17', '18', '19', '21'])).
% 0.58/1.00 thf(zip_derived_cl392, plain,
% 0.58/1.00 (((app @ (app @ (cons @ sk11 @ nil) @ sk13) @ (cons @ sk12 @ nil))
% 0.58/1.00 = (sk2))),
% 0.58/1.00 inference('simpl_trail', [status(thm)], [zip_derived_cl286, '22'])).
% 0.58/1.00 thf(zip_derived_cl244, plain,
% 0.58/1.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (ssItem @ X0)
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil))
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil))
% 0.58/1.00 = (sk3))))
% 0.58/1.00 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (ssItem @ X0)
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil))
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil))
% 0.58/1.00 = (sk3)))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl191])).
% 0.58/1.00 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.58/1.00 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.58/1.00 thf(zf_stmt_25, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.58/1.00 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_25])).
% 0.58/1.00 thf(zip_derived_cl403, plain,
% 0.58/1.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (ssItem @ X0)
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil))
% 0.58/1.00 != (sk2))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil))
% 0.58/1.00 = (sk1))))
% 0.58/1.00 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (ssItem @ X0)
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil))
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil))
% 0.58/1.00 = (sk3)))))),
% 0.58/1.00 inference('demod', [status(thm)],
% 0.58/1.00 [zip_derived_cl244, zip_derived_cl189, zip_derived_cl190])).
% 0.58/1.00 thf('23', plain,
% 0.58/1.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (ssItem @ X0)
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil))
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil))
% 0.58/1.00 = (sk3)))) |
% 0.58/1.00 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl191])).
% 0.58/1.00 thf('24', plain,
% 0.58/1.00 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (ssItem @ X0)
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil))
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil))
% 0.58/1.00 = (sk3))))),
% 0.58/1.00 inference('sat_resolution*', [status(thm)],
% 0.58/1.00 ['2', '3', '4', '5', '6', '7', '8', '9', '10', '11', '12',
% 0.58/1.00 '13', '14', '15', '16', '17', '18', '19', '23'])).
% 0.58/1.00 thf(zip_derived_cl404, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (~ (ssItem @ X0)
% 0.58/1.00 | ~ (ssList @ X1)
% 0.58/1.00 | ~ (ssItem @ X2)
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ X1) @ (cons @ X2 @ nil))
% 0.58/1.00 != (sk2))
% 0.58/1.00 | ((app @ (app @ (cons @ X2 @ nil) @ X1) @ (cons @ X0 @ nil)) = (sk1)))),
% 0.58/1.00 inference('simpl_trail', [status(thm)], [zip_derived_cl403, '24'])).
% 0.58/1.00 thf(zip_derived_cl405, plain,
% 0.58/1.00 ((~ (ssItem @ sk11)
% 0.58/1.00 | ~ (ssList @ sk13)
% 0.58/1.00 | ~ (ssItem @ sk12)
% 0.58/1.00 | ((sk2) != (sk2))
% 0.58/1.00 | ((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1)))),
% 0.58/1.00 inference('s_sup-', [status(thm)], [zip_derived_cl392, zip_derived_cl404])).
% 0.58/1.00 thf(zip_derived_cl406, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1))
% 0.58/1.00 | ~ (ssItem @ sk12)
% 0.58/1.00 | ~ (ssList @ sk13)
% 0.58/1.00 | ~ (ssItem @ sk11))),
% 0.58/1.00 inference('simplify', [status(thm)], [zip_derived_cl405])).
% 0.58/1.00 thf(co1_16, conjecture,
% 0.58/1.00 (~( ( ( app @
% 0.58/1.00 ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.58/1.00 thf(zf_stmt_26, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ A @ nil ) @ ( cons @ B @ nil ) ) @ C ) !=
% 0.58/1.00 ( sk4 ) ) |
% 0.58/1.00 ( ~( ssList @ C ) ) | ( ~( ssItem @ B ) ) | ( ~( ssItem @ A ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.58/1.00 thf(zip_derived_cl200, plain,
% 0.58/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 != (sk1))
% 0.58/1.00 | ((app @ (app @ (cons @ X0 @ nil) @ (cons @ X1 @ nil)) @ X2)
% 0.58/1.00 != (sk4))
% 0.58/1.00 | ~ (ssList @ X2)
% 0.58/1.00 | ~ (ssItem @ X1)
% 0.58/1.00 | ~ (ssItem @ X0))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_26])).
% 0.58/1.00 thf(zip_derived_cl262, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 != (sk1)))
% 0.58/1.00 <= (~
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.58/1.00 thf('25', plain,
% 0.58/1.00 (~
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1))) |
% 0.58/1.00 (![X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.00 (~ (ssItem @ X3)
% 0.58/1.00 | ~ (ssList @ X5)
% 0.58/1.00 | ~ (ssItem @ X4)
% 0.58/1.00 | ((app @ (app @ (cons @ X3 @ nil) @ (cons @ X4 @ nil)) @ X5)
% 0.58/1.00 != (sk4))))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.58/1.00 thf(co1_29, conjecture,
% 0.58/1.00 (~( ( ( app @
% 0.58/1.00 ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ssItem @ sk5 ) ))).
% 0.58/1.00 thf(zf_stmt_27, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ssItem @ sk5 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_29])).
% 0.58/1.00 thf(zip_derived_cl213, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 != (sk1))
% 0.58/1.00 | (ssItem @ sk5))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_27])).
% 0.58/1.00 thf('26', plain,
% 0.58/1.00 (~
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1))) |
% 0.58/1.00 ( (ssItem @ sk5))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl213])).
% 0.58/1.00 thf(co1_46, conjecture,
% 0.58/1.00 (~( ( ( app @
% 0.58/1.00 ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ssItem @ sk6 ) ))).
% 0.58/1.00 thf(zf_stmt_28, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ssItem @ sk6 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_46])).
% 0.58/1.00 thf(zip_derived_cl230, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 != (sk1))
% 0.58/1.00 | (ssItem @ sk6))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_28])).
% 0.58/1.00 thf('27', plain,
% 0.58/1.00 (~
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1))) |
% 0.58/1.00 ( (ssItem @ sk6))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl230])).
% 0.58/1.00 thf(co1_52, conjecture,
% 0.58/1.00 (~( ( ( app @
% 0.58/1.00 ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ssList @ sk7 ) ))).
% 0.58/1.00 thf(zf_stmt_29, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ssList @ sk7 )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_52])).
% 0.58/1.00 thf(zip_derived_cl236, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 != (sk1))
% 0.58/1.00 | (ssList @ sk7))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_29])).
% 0.58/1.00 thf('28', plain,
% 0.58/1.00 (~
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1))) |
% 0.58/1.00 ( (ssList @ sk7))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl236])).
% 0.58/1.00 thf(co1_56, conjecture,
% 0.58/1.00 (~( ( ( app @
% 0.58/1.00 ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) ) ))).
% 0.58/1.00 thf(zf_stmt_30, negated_conjecture,
% 0.58/1.00 (( ( app @ ( app @ ( cons @ sk12 @ nil ) @ sk13 ) @ ( cons @ sk11 @ nil ) ) !=
% 0.58/1.00 ( sk1 ) ) |
% 0.58/1.00 ( ( app @ ( app @ ( cons @ sk5 @ nil ) @ ( cons @ sk6 @ nil ) ) @ sk7 ) =
% 0.58/1.00 ( sk2 ) )),
% 0.58/1.00 inference('cnf.neg', [status(esa)], [co1_56])).
% 0.58/1.00 thf(zip_derived_cl240, plain,
% 0.58/1.00 ((((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 != (sk1))
% 0.58/1.00 | ((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7)
% 0.58/1.00 = (sk2)))),
% 0.58/1.00 inference('cnf', [status(esa)], [zf_stmt_30])).
% 0.58/1.00 thf('29', plain,
% 0.58/1.00 (~
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1))) |
% 0.58/1.00 (((app @ (app @ (cons @ sk5 @ nil) @ (cons @ sk6 @ nil)) @ sk7) = (sk2)))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl240])).
% 0.58/1.00 thf('30', plain,
% 0.58/1.00 (~
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 = (sk1)))),
% 0.58/1.00 inference('sat_resolution*', [status(thm)],
% 0.58/1.00 ['25', '26', '27', '28', '29', '14'])).
% 0.58/1.00 thf(zip_derived_cl387, plain,
% 0.58/1.00 (((app @ (app @ (cons @ sk12 @ nil) @ sk13) @ (cons @ sk11 @ nil))
% 0.58/1.00 != (sk1))),
% 0.58/1.00 inference('simpl_trail', [status(thm)], [zip_derived_cl262, '30'])).
% 0.58/1.00 thf(zip_derived_cl407, plain,
% 0.58/1.00 ((~ (ssItem @ sk12) | ~ (ssList @ sk13) | ~ (ssItem @ sk11))),
% 0.58/1.00 inference('simplify_reflect-', [status(thm)],
% 0.58/1.00 [zip_derived_cl406, zip_derived_cl387])).
% 0.58/1.00 thf('31', plain,
% 0.58/1.00 (~ ( (ssItem @ sk11)) | ~ ( (ssItem @ sk12)) | ~ ( (ssList @ sk13))),
% 0.58/1.00 inference('split', [status(esa)], [zip_derived_cl407])).
% 0.58/1.00 thf(zip_derived_cl419, plain, ($false),
% 0.58/1.00 inference('sat_resolution*', [status(thm)],
% 0.58/1.00 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.58/1.00 '12', '13', '14', '15', '16', '17', '18', '19', '20', '31'])).
% 0.58/1.00
% 0.58/1.00 % SZS output end Refutation
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 % Terminating...
% 1.61/1.13 % Runner terminated.
% 1.61/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------