%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWC011-1 : 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.sxmX6buLkk true
% Computer : n026.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 04:58:16 PM UTC 2025
% Result : Unsatisfiable 0.54s 0.77s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC011-1 : TPTP v9.2.0. Released v2.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sxmX6buLkk true
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 17:07:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.46/0.61 % Total configuration time : 435
% 0.46/0.61 % Estimated wc time : 1092
% 0.46/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 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/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.77 % Solved by fo/fo1_av.sh.
% 0.54/0.77 % done 44 iterations in 0.048s
% 0.54/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.77 % SZS output start Refutation
% 0.54/0.77 thf(nil_type, type, nil: $i).
% 0.54/0.77 thf(cons_type, type, cons: $i > $i > $i).
% 0.54/0.77 thf(sk6_type, type, sk6: $i).
% 0.54/0.77 thf(sk2_type, type, sk2: $i).
% 0.54/0.77 thf(sk5_type, type, sk5: $i).
% 0.54/0.77 thf(sk4_type, type, sk4: $i).
% 0.54/0.77 thf(ssItem_type, type, ssItem: $i > $o).
% 0.54/0.77 thf(sk7_type, type, sk7: $i).
% 0.54/0.77 thf(sk3_type, type, sk3: $i).
% 0.54/0.77 thf(neq_type, type, neq: $i > $i > $o).
% 0.54/0.77 thf(app_type, type, app: $i > $i > $i).
% 0.54/0.77 thf(ssList_type, type, ssList: $i > $o).
% 0.54/0.77 thf(sk1_type, type, sk1: $i).
% 0.54/0.77 thf(co1_15, conjecture,
% 0.54/0.77 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.54/0.77 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.54/0.77 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.54/0.77 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.77 (( ~( neq @ sk4 @ nil ) ) | ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.54/0.77 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.54/0.77 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_15])).
% 0.54/0.77 thf(zip_derived_cl199, plain,
% 0.54/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 (~ (neq @ sk4 @ nil)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2))
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ~ (ssList @ X0)
% 0.54/0.77 | ~ (ssItem @ X2))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.77 thf('0', plain,
% 0.54/0.77 (~ ( (neq @ sk4 @ nil)) |
% 0.54/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 (~ (ssList @ X0)
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ~ (ssItem @ X2)
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2))))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl199])).
% 0.54/0.77 thf(co1_14, conjecture,
% 0.54/0.77 (~( ( neq @ sk2 @ nil ) | ( ( app @ sk6 @ sk7 ) = ( sk3 ) ) ))).
% 0.54/0.77 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.77 (( neq @ sk2 @ nil ) | ( ( app @ sk6 @ sk7 ) = ( sk3 ) )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_14])).
% 0.54/0.77 thf(zip_derived_cl198, plain,
% 0.54/0.77 (( (neq @ sk2 @ nil) | ((app @ sk6 @ sk7) = (sk3)))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.77 thf('1', plain, (( (neq @ sk2 @ nil)) | (((app @ sk6 @ sk7) = (sk3)))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl198])).
% 0.54/0.77 thf(co1_20, conjecture,
% 0.54/0.77 (~( ( ~( neq @ sk4 @ nil ) ) | ( ( app @ sk6 @ sk7 ) = ( sk3 ) ) ))).
% 0.54/0.77 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.77 (( ~( neq @ sk4 @ nil ) ) | ( ( app @ sk6 @ sk7 ) = ( sk3 ) )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_20])).
% 0.54/0.77 thf(zip_derived_cl204, plain,
% 0.54/0.77 ((~ (neq @ sk4 @ nil) | ((app @ sk6 @ sk7) = (sk3)))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.77 thf('2', plain, (~ ( (neq @ sk4 @ nil)) | (((app @ sk6 @ sk7) = (sk3)))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl204])).
% 0.54/0.77 thf(zip_derived_cl219, plain,
% 0.54/0.77 ((((app @ sk6 @ sk7) = (sk3))) <= ((((app @ sk6 @ sk7) = (sk3))))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl198])).
% 0.54/0.77 thf(co1_13, conjecture,
% 0.54/0.77 (~( ( neq @ sk2 @ nil ) |
% 0.54/0.77 ( ( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk4 ) ) ))).
% 0.54/0.77 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.77 (( neq @ sk2 @ nil ) |
% 0.54/0.77 ( ( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk4 ) )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_13])).
% 0.54/0.77 thf(zip_derived_cl197, plain,
% 0.54/0.77 (( (neq @ sk2 @ nil)
% 0.54/0.77 | ((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4)))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.77 thf(zip_derived_cl217, plain,
% 0.54/0.77 ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4)))
% 0.54/0.77 <= ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl197])).
% 0.54/0.77 thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.54/0.77 thf(zf_stmt_4, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_5])).
% 0.54/0.77 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.77 thf(zip_derived_cl240, plain,
% 0.54/0.77 ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk2)))
% 0.54/0.77 <= ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))))),
% 0.54/0.77 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl189])).
% 0.54/0.77 thf(co1_9, conjecture,
% 0.54/0.77 (~( ( neq @ sk2 @ nil ) | ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.54/0.77 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.54/0.77 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 0.54/0.77 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.77 (( neq @ sk2 @ nil ) | ( ( app @ B @ C ) != ( sk1 ) ) |
% 0.54/0.77 ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) |
% 0.54/0.77 ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_9])).
% 0.54/0.77 thf(zip_derived_cl193, plain,
% 0.54/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 ( (neq @ sk2 @ nil)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2))
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ~ (ssList @ X0)
% 0.54/0.77 | ~ (ssItem @ X2))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.77 thf(zip_derived_cl209, plain,
% 0.54/0.77 ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 (~ (ssList @ X0)
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ~ (ssItem @ X2)
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2))))
% 0.54/0.77 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 (~ (ssList @ X0)
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ~ (ssItem @ X2)
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2)))))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl193])).
% 0.54/0.77 thf(zip_derived_cl244, plain,
% 0.54/0.77 (((~ (ssList @ sk6)
% 0.54/0.77 | ~ (ssList @ sk7)
% 0.54/0.77 | ((app @ sk6 @ sk7) != (sk1))
% 0.54/0.77 | ~ (ssItem @ sk5)
% 0.54/0.77 | ((sk2) != (sk2))))
% 0.54/0.77 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 (~ (ssList @ X0)
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ~ (ssItem @ X2)
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2)))) &
% 0.54/0.77 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))))),
% 0.54/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl209])).
% 0.54/0.77 thf(zip_derived_cl245, plain,
% 0.54/0.77 (((~ (ssItem @ sk5)
% 0.54/0.77 | ((app @ sk6 @ sk7) != (sk1))
% 0.54/0.77 | ~ (ssList @ sk7)
% 0.54/0.77 | ~ (ssList @ sk6)))
% 0.54/0.77 <= ((![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 (~ (ssList @ X0)
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ~ (ssItem @ X2)
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2)))) &
% 0.54/0.77 (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))))),
% 0.54/0.77 inference('simplify', [status(thm)], [zip_derived_cl244])).
% 0.54/0.77 thf(zip_derived_cl246, plain,
% 0.54/0.77 ((((app @ sk6 @ sk7) != (sk1))) <= (~ (((app @ sk6 @ sk7) = (sk1))))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl245])).
% 0.54/0.77 thf(zip_derived_cl250, plain,
% 0.54/0.77 ((((sk3) != (sk1)))
% 0.54/0.77 <= (~ (((app @ sk6 @ sk7) = (sk1))) & (((app @ sk6 @ sk7) = (sk3))))),
% 0.54/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl219, zip_derived_cl246])).
% 0.54/0.77 thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.54/0.77 thf(zf_stmt_6, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_6])).
% 0.54/0.77 thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/0.77 thf(zip_derived_cl251, plain,
% 0.54/0.77 ((((sk1) != (sk1)))
% 0.54/0.77 <= (~ (((app @ sk6 @ sk7) = (sk1))) & (((app @ sk6 @ sk7) = (sk3))))),
% 0.54/0.77 inference('demod', [status(thm)], [zip_derived_cl250, zip_derived_cl190])).
% 0.54/0.77 thf('3', plain,
% 0.54/0.77 ((((app @ sk6 @ sk7) = (sk1))) | ~ (((app @ sk6 @ sk7) = (sk3)))),
% 0.54/0.77 inference('simplify', [status(thm)], [zip_derived_cl251])).
% 0.54/0.77 thf(co1_10, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssItem @ sk5 ) ))).
% 0.54/0.77 thf(zf_stmt_7, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssItem @ sk5 )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_10])).
% 0.54/0.77 thf(zip_derived_cl194, plain, (( (neq @ sk2 @ nil) | (ssItem @ sk5))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/0.77 thf('4', plain, (( (ssItem @ sk5)) | ( (neq @ sk2 @ nil))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl194])).
% 0.54/0.77 thf(co1_11, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssList @ sk6 ) ))).
% 0.54/0.77 thf(zf_stmt_8, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssList @ sk6 )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_11])).
% 0.54/0.77 thf(zip_derived_cl195, plain, (( (neq @ sk2 @ nil) | (ssList @ sk6))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/0.77 thf('5', plain, (( (ssList @ sk6)) | ( (neq @ sk2 @ nil))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl195])).
% 0.54/0.77 thf(co1_12, conjecture, (~( ( neq @ sk2 @ nil ) | ( ssList @ sk7 ) ))).
% 0.54/0.77 thf(zf_stmt_9, negated_conjecture, (( neq @ sk2 @ nil ) | ( ssList @ sk7 )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_12])).
% 0.54/0.77 thf(zip_derived_cl196, plain, (( (neq @ sk2 @ nil) | (ssList @ sk7))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/0.77 thf('6', plain, (( (ssList @ sk7)) | ( (neq @ sk2 @ nil))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl196])).
% 0.54/0.77 thf('7', plain,
% 0.54/0.77 ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))) |
% 0.54/0.77 ( (neq @ sk2 @ nil))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl197])).
% 0.54/0.77 thf(co1_16, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 ) ))).
% 0.54/0.77 thf(zf_stmt_10, negated_conjecture,
% 0.54/0.77 (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk5 )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_16])).
% 0.54/0.77 thf(zip_derived_cl200, plain, ((~ (neq @ sk4 @ nil) | (ssItem @ sk5))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/0.77 thf('8', plain, (( (ssItem @ sk5)) | ~ ( (neq @ sk4 @ nil))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl200])).
% 0.54/0.77 thf(co1_17, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 ) ))).
% 0.54/0.77 thf(zf_stmt_11, negated_conjecture,
% 0.54/0.77 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk6 )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_17])).
% 0.54/0.77 thf(zip_derived_cl201, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk6))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/0.77 thf('9', plain, (( (ssList @ sk6)) | ~ ( (neq @ sk4 @ nil))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl201])).
% 0.54/0.77 thf(co1_18, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk7 ) ))).
% 0.54/0.77 thf(zf_stmt_12, negated_conjecture,
% 0.54/0.77 (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk7 )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_18])).
% 0.54/0.77 thf(zip_derived_cl202, plain, ((~ (neq @ sk4 @ nil) | (ssList @ sk7))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/0.77 thf('10', plain, (( (ssList @ sk7)) | ~ ( (neq @ sk4 @ nil))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl202])).
% 0.54/0.77 thf(co1_19, conjecture,
% 0.54/0.77 (~( ( ~( neq @ sk4 @ nil ) ) |
% 0.54/0.77 ( ( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk4 ) ) ))).
% 0.54/0.77 thf(zf_stmt_13, negated_conjecture,
% 0.54/0.77 (( ~( neq @ sk4 @ nil ) ) |
% 0.54/0.77 ( ( app @ ( app @ sk6 @ ( cons @ sk5 @ nil ) ) @ sk7 ) = ( sk4 ) )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_19])).
% 0.54/0.77 thf(zip_derived_cl203, plain,
% 0.54/0.77 ((~ (neq @ sk4 @ nil)
% 0.54/0.77 | ((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4)))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/0.77 thf('11', plain,
% 0.54/0.77 ((((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))) |
% 0.54/0.77 ~ ( (neq @ sk4 @ nil))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl203])).
% 0.54/0.77 thf('12', plain,
% 0.54/0.77 (~ ( (ssList @ sk7)) |
% 0.54/0.77 ~ (((app @ (app @ sk6 @ (cons @ sk5 @ nil)) @ sk7) = (sk4))) |
% 0.54/0.77 ~ (((app @ sk6 @ sk7) = (sk1))) | ~ ( (ssList @ sk6)) |
% 0.54/0.77 ~ ( (ssItem @ sk5)) |
% 0.54/0.77 ~
% 0.54/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 (~ (ssList @ X0)
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ~ (ssItem @ X2)
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2))))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl245])).
% 0.54/0.77 thf('13', plain,
% 0.54/0.77 (( (neq @ sk2 @ nil)) |
% 0.54/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.77 (~ (ssList @ X0)
% 0.54/0.77 | ~ (ssList @ X1)
% 0.54/0.77 | ((app @ X0 @ X1) != (sk1))
% 0.54/0.77 | ~ (ssItem @ X2)
% 0.54/0.77 | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk2))))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl193])).
% 0.54/0.77 thf(co1_8, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( neq @ sk2 @ nil ) ))).
% 0.54/0.77 thf(zf_stmt_14, negated_conjecture,
% 0.54/0.77 (( ~( neq @ sk4 @ nil ) ) | ( neq @ sk2 @ nil )),
% 0.54/0.77 inference('cnf.neg', [status(esa)], [co1_8])).
% 0.54/0.77 thf(zip_derived_cl192, plain, ((~ (neq @ sk4 @ nil) | (neq @ sk2 @ nil))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.54/0.77 thf(zip_derived_cl208, plain,
% 0.54/0.77 (( (neq @ sk2 @ nil)) <= (( (neq @ sk2 @ nil)))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl192])).
% 0.54/0.77 thf(zip_derived_cl207, plain,
% 0.54/0.77 ((~ (neq @ sk4 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 0.54/0.77 inference('split', [status(esa)], [zip_derived_cl192])).
% 0.54/0.77 thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.54/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.77 thf(zip_derived_cl233, plain,
% 0.54/0.77 ((~ (neq @ sk2 @ nil)) <= (~ ( (neq @ sk4 @ nil)))),
% 0.54/0.77 inference('demod', [status(thm)], [zip_derived_cl207, zip_derived_cl189])).
% 0.54/0.77 thf('14', plain, (~ ( (neq @ sk2 @ nil)) | ( (neq @ sk4 @ nil))),
% 0.54/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl208, zip_derived_cl233])).
% 0.54/0.77 thf(zip_derived_cl257, plain, ($false),
% 0.54/0.77 inference('sat_resolution*', [status(thm)],
% 0.54/0.77 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.54/0.77 '12', '13', '14'])).
% 0.54/0.77
% 0.54/0.77 % SZS output end Refutation
% 0.54/0.77
% 0.54/0.77
% 0.54/0.77 % Terminating...
% 1.73/0.82 % Runner terminated.
% 1.73/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------