%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO093-1 : 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.G3pzZsfuVn true
% Computer : n018.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 04:33:51 PM UTC 2025
% Result : Unsatisfiable 79.44s 12.00s
% Output : Refutation 79.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO093-1 : TPTP v9.2.0. Released v2.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G3pzZsfuVn true
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 17:44:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.89 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 79.44/12.00 % Solved by fo/fo1_lcnf.sh.
% 79.44/12.00 % done 5676 iterations in 11.081s
% 79.44/12.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 79.44/12.00 % SZS output start Refutation
% 79.44/12.00 thf(ax0_sk2_type, type, ax0_sk2: $i > $i > $i > $i).
% 79.44/12.00 thf(incident_c_type, type, incident_c: $i > $i > $o).
% 79.44/12.00 thf(sk17_type, type, sk17: $i).
% 79.44/12.00 thf(sk14_type, type, sk14: $i).
% 79.44/12.00 thf(open_type, type, open: $i > $o).
% 79.44/12.00 thf(part_of_type, type, part_of: $i > $i > $o).
% 79.44/12.00 thf(meet_type, type, meet: $i > $i > $i > $o).
% 79.44/12.00 thf(sk15_type, type, sk15: $i).
% 79.44/12.00 thf(ax0_sk12_type, type, ax0_sk12: $i > $i > $i).
% 79.44/12.00 thf(sk16_type, type, sk16: $i).
% 79.44/12.00 thf(ax0_sk1_type, type, ax0_sk1: $i > $i > $i).
% 79.44/12.00 thf(sum_type, type, sum: $i > $i > $i).
% 79.44/12.00 thf(proposition_2_14_2_71, conjecture, (open @ ( sum @ sk15 @ sk16 ))).
% 79.44/12.00 thf(zf_stmt_0, negated_conjecture, (~( open @ ( sum @ sk15 @ sk16 ) )),
% 79.44/12.00 inference('cnf.neg', [status(esa)], [proposition_2_14_2_71])).
% 79.44/12.00 thf(zip_derived_cl52, plain, (~ (open @ (sum @ sk15 @ sk16))),
% 79.44/12.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 79.44/12.00 thf(proposition_2_14_2_70, conjecture, (~( meet @ sk17 @ sk15 @ sk16 ))).
% 79.44/12.00 thf(zf_stmt_1, negated_conjecture, (meet @ sk17 @ sk15 @ sk16),
% 79.44/12.00 inference('cnf.neg', [status(esa)], [proposition_2_14_2_70])).
% 79.44/12.00 thf(zip_derived_cl51, plain, ( (meet @ sk17 @ sk15 @ sk16)),
% 79.44/12.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 79.44/12.00 thf(c8_44, axiom,
% 79.44/12.00 (( ~( meet @ A @ B @ C ) ) | ( ( ax0_sk12 @ C @ B ) = ( sum @ B @ C ) ))).
% 79.44/12.00 thf(zip_derived_cl43, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (((((~) @ (meet @ X0 @ X1 @ X2))) |
% 79.44/12.00 (((ax0_sk12 @ X2 @ X1) = (sum @ X1 @ X2)))))),
% 79.44/12.00 inference('cnf', [status(esa)], [c8_44])).
% 79.44/12.00 thf(zip_derived_cl1019, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (meet @ X0 @ X1 @ X2) | (((ax0_sk12 @ X2 @ X1) = (sum @ X1 @ X2))))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl43])).
% 79.44/12.00 thf(zip_derived_cl1020, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (meet @ X0 @ X1 @ X2) | ((ax0_sk12 @ X2 @ X1) = (sum @ X1 @ X2)))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)],
% 79.44/12.00 [zip_derived_cl1019])).
% 79.44/12.00 thf(zip_derived_cl1022, plain,
% 79.44/12.00 (((ax0_sk12 @ sk16 @ sk15) = (sum @ sk15 @ sk16))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl1020])).
% 79.44/12.00 thf(zip_derived_cl1023, plain, (~ (open @ (ax0_sk12 @ sk16 @ sk15))),
% 79.44/12.00 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl1022])).
% 79.44/12.00 thf(part_of_defn_2, axiom,
% 79.44/12.00 (( incident_c @ ( ax0_sk1 @ A @ B ) @ A ) | ( part_of @ A @ B ))).
% 79.44/12.00 thf(zip_derived_cl1, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (((incident_c @ (ax0_sk1 @ X0 @ X1) @ X0) | (part_of @ X0 @ X1)))),
% 79.44/12.00 inference('cnf', [status(esa)], [part_of_defn_2])).
% 79.44/12.00 thf(zip_derived_cl59, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 ( (incident_c @ (ax0_sk1 @ X0 @ X1) @ X0) | (part_of @ X0 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 79.44/12.00 thf(sum_defn_6, axiom,
% 79.44/12.00 (( ( A ) != ( sum @ B @ C ) ) | ( ~( incident_c @ D @ C ) ) |
% 79.44/12.00 ( incident_c @ D @ A ))).
% 79.44/12.00 thf(zip_derived_cl5, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 (((((X0) != (sum @ X1 @ X2))) | (((~) @ (incident_c @ X3 @ X2))) |
% 79.44/12.00 (incident_c @ X3 @ X0)))),
% 79.44/12.00 inference('cnf', [status(esa)], [sum_defn_6])).
% 79.44/12.00 thf(zip_derived_cl143, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 ( (((X0) != (sum @ X1 @ X2)))
% 79.44/12.00 | ~ (incident_c @ X3 @ X2)
% 79.44/12.00 | (incident_c @ X3 @ X0))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl5])).
% 79.44/12.00 thf(zip_derived_cl144, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 (((X0) != (sum @ X1 @ X2))
% 79.44/12.00 | ~ (incident_c @ X3 @ X2)
% 79.44/12.00 | (incident_c @ X3 @ X0))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)],
% 79.44/12.00 [zip_derived_cl143])).
% 79.44/12.00 thf(zip_derived_cl145, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 ( (incident_c @ X2 @ (sum @ X1 @ X0)) | ~ (incident_c @ X2 @ X0))),
% 79.44/12.00 inference('eq_res', [status(thm)], [zip_derived_cl144])).
% 79.44/12.00 thf(part_of_defn_3, axiom,
% 79.44/12.00 (( ~( incident_c @ ( ax0_sk1 @ A @ B ) @ B ) ) | ( part_of @ A @ B ))).
% 79.44/12.00 thf(zip_derived_cl2, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (((((~) @ (incident_c @ (ax0_sk1 @ X0 @ X1) @ X1))) | (part_of @
% 79.44/12.00 X0 @ X1)))),
% 79.44/12.00 inference('cnf', [status(esa)], [part_of_defn_3])).
% 79.44/12.00 thf(zip_derived_cl72, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk1 @ X0 @ X1) @ X1) | (part_of @ X0 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 79.44/12.00 thf(zip_derived_cl173, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk1 @ X2 @ (sum @ X1 @ X0)) @ X0)
% 79.44/12.00 | (part_of @ X2 @ (sum @ X1 @ X0)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl72])).
% 79.44/12.00 thf(zip_derived_cl3677, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 ( (part_of @ X0 @ (sum @ X1 @ X0)) | (part_of @ X0 @ (sum @ X1 @ X0)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl173])).
% 79.44/12.00 thf(zip_derived_cl3686, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]: (part_of @ X0 @ (sum @ X1 @ X0))),
% 79.44/12.00 inference('simplify', [status(thm)], [zip_derived_cl3677])).
% 79.44/12.00 thf(c1_35, axiom,
% 79.44/12.00 (( ~( part_of @ A @ B ) ) | ( ( A ) = ( B ) ) | ( open @ A ))).
% 79.44/12.00 thf(zip_derived_cl34, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (((((~) @ (part_of @ X0 @ X1))) | (((X0) = (X1))) | (open @ X0)))),
% 79.44/12.00 inference('cnf', [status(esa)], [c1_35])).
% 79.44/12.00 thf(zip_derived_cl231, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (part_of @ X0 @ X1) | (((X0) = (X1))) | (open @ X0))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl34])).
% 79.44/12.00 thf(zip_derived_cl232, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (part_of @ X0 @ X1) | ((X0) = (X1)) | (open @ X0))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)],
% 79.44/12.00 [zip_derived_cl231])).
% 79.44/12.00 thf(zip_derived_cl3927, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]: (((X0) = (sum @ X1 @ X0)) | (open @ X0))),
% 79.44/12.00 inference('s_sup-', [status(thm)],
% 79.44/12.00 [zip_derived_cl3686, zip_derived_cl232])).
% 79.44/12.00 thf(zip_derived_cl59, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 ( (incident_c @ (ax0_sk1 @ X0 @ X1) @ X0) | (part_of @ X0 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 79.44/12.00 thf(sum_defn_5, axiom,
% 79.44/12.00 (( ( A ) != ( sum @ B @ C ) ) | ( ~( incident_c @ D @ B ) ) |
% 79.44/12.00 ( incident_c @ D @ A ))).
% 79.44/12.00 thf(zip_derived_cl4, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 (((((X0) != (sum @ X1 @ X2))) | (((~) @ (incident_c @ X3 @ X1))) |
% 79.44/12.00 (incident_c @ X3 @ X0)))),
% 79.44/12.00 inference('cnf', [status(esa)], [sum_defn_5])).
% 79.44/12.00 thf(zip_derived_cl104, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 ( (((X0) != (sum @ X1 @ X2)))
% 79.44/12.00 | ~ (incident_c @ X3 @ X1)
% 79.44/12.00 | (incident_c @ X3 @ X0))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])).
% 79.44/12.00 thf(zip_derived_cl105, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 (((X0) != (sum @ X1 @ X2))
% 79.44/12.00 | ~ (incident_c @ X3 @ X1)
% 79.44/12.00 | (incident_c @ X3 @ X0))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)],
% 79.44/12.00 [zip_derived_cl104])).
% 79.44/12.00 thf(zip_derived_cl106, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 ( (incident_c @ X2 @ (sum @ X1 @ X0)) | ~ (incident_c @ X2 @ X1))),
% 79.44/12.00 inference('eq_res', [status(thm)], [zip_derived_cl105])).
% 79.44/12.00 thf(zip_derived_cl72, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk1 @ X0 @ X1) @ X1) | (part_of @ X0 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 79.44/12.00 thf(zip_derived_cl108, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk1 @ X2 @ (sum @ X1 @ X0)) @ X1)
% 79.44/12.00 | (part_of @ X2 @ (sum @ X1 @ X0)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl72])).
% 79.44/12.00 thf(zip_derived_cl134, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 ( (part_of @ X0 @ (sum @ X0 @ X1)) | (part_of @ X0 @ (sum @ X0 @ X1)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl108])).
% 79.44/12.00 thf(zip_derived_cl137, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]: (part_of @ X0 @ (sum @ X0 @ X1))),
% 79.44/12.00 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 79.44/12.00 thf(zip_derived_cl232, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (part_of @ X0 @ X1) | ((X0) = (X1)) | (open @ X0))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)],
% 79.44/12.00 [zip_derived_cl231])).
% 79.44/12.00 thf(zip_derived_cl234, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]: (((X1) = (sum @ X1 @ X0)) | (open @ X1))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl137, zip_derived_cl232])).
% 79.44/12.00 thf(zip_derived_cl4018, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]: ( (open @ X0) | ((X1) = (X0)) | (open @ X1))),
% 79.44/12.00 inference('s_sup+', [status(thm)],
% 79.44/12.00 [zip_derived_cl3927, zip_derived_cl234])).
% 79.44/12.00 thf(zip_derived_cl1023, plain, (~ (open @ (ax0_sk12 @ sk16 @ sk15))),
% 79.44/12.00 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl1022])).
% 79.44/12.00 thf(zip_derived_cl6742, plain,
% 79.44/12.00 (![X0 : $i]: ( (open @ X0) | ((X0) = (ax0_sk12 @ sk16 @ sk15)))),
% 79.44/12.00 inference('s_sup-', [status(thm)],
% 79.44/12.00 [zip_derived_cl4018, zip_derived_cl1023])).
% 79.44/12.00 thf(sum_defn_12, axiom,
% 79.44/12.00 (( ~( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A ) ) |
% 79.44/12.00 ( ~( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C ) ) |
% 79.44/12.00 ( ( C ) = ( sum @ B @ A ) ))).
% 79.44/12.00 thf(zip_derived_cl11, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (((((~) @ (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X0))) |
% 79.44/12.00 (((~) @ (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X2))) |
% 79.44/12.00 (((X2) = (sum @ X1 @ X0)))))),
% 79.44/12.00 inference('cnf', [status(esa)], [sum_defn_12])).
% 79.44/12.00 thf(zip_derived_cl212, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X0)
% 79.44/12.00 | ~ (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X2)
% 79.44/12.00 | (((X2) = (sum @ X1 @ X0))))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl11])).
% 79.44/12.00 thf(zip_derived_cl213, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X0)
% 79.44/12.00 | ~ (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X2)
% 79.44/12.00 | ((X2) = (sum @ X1 @ X0)))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)],
% 79.44/12.00 [zip_derived_cl212])).
% 79.44/12.00 thf(zip_derived_cl227, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (((X0) = (sum @ X1 @ X0))
% 79.44/12.00 | ~ (incident_c @ (ax0_sk2 @ X0 @ X1 @ X0) @ X0))),
% 79.44/12.00 inference('eq_fact', [status(thm)], [zip_derived_cl213])).
% 79.44/12.00 thf(sum_defn_7, axiom,
% 79.44/12.00 (( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C ) |
% 79.44/12.00 ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B ) |
% 79.44/12.00 ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A ) | ( ( C ) = ( sum @ B @ A ) ))).
% 79.44/12.00 thf(zip_derived_cl6, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (((incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X2) |
% 79.44/12.00 (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X1) |
% 79.44/12.00 (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X0) |
% 79.44/12.00 (((X2) = (sum @ X1 @ X0)))))),
% 79.44/12.00 inference('cnf', [status(esa)], [sum_defn_7])).
% 79.44/12.00 thf(zip_derived_cl155, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 ( (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X2)
% 79.44/12.00 | (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X1)
% 79.44/12.00 | (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X0)
% 79.44/12.00 | (((X2) = (sum @ X1 @ X0))))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 79.44/12.00 thf(zip_derived_cl156, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 ( (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X2)
% 79.44/12.00 | (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X1)
% 79.44/12.00 | (incident_c @ (ax0_sk2 @ X0 @ X1 @ X2) @ X0)
% 79.44/12.00 | ((X2) = (sum @ X1 @ X0)))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)],
% 79.44/12.00 [zip_derived_cl155])).
% 79.44/12.00 thf(proposition_2_14_2_69, conjecture, (~( part_of @ sk16 @ sk14 ))).
% 79.44/12.00 thf(zf_stmt_2, negated_conjecture, (part_of @ sk16 @ sk14),
% 79.44/12.00 inference('cnf.neg', [status(esa)], [proposition_2_14_2_69])).
% 79.44/12.00 thf(zip_derived_cl50, plain, ( (part_of @ sk16 @ sk14)),
% 79.44/12.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 79.44/12.00 thf(part_of_defn_1, axiom,
% 79.44/12.00 (( ~( part_of @ A @ B ) ) | ( ~( incident_c @ C @ A ) ) |
% 79.44/12.00 ( incident_c @ C @ B ))).
% 79.44/12.00 thf(zip_derived_cl0, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (((((~) @ (part_of @ X0 @ X1))) | (((~) @ (incident_c @ X2 @ X0))) |
% 79.44/12.00 (incident_c @ X2 @ X1)))),
% 79.44/12.00 inference('cnf', [status(esa)], [part_of_defn_1])).
% 79.44/12.00 thf(zip_derived_cl53, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (part_of @ X0 @ X1)
% 79.44/12.00 | ~ (incident_c @ X2 @ X0)
% 79.44/12.00 | (incident_c @ X2 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 79.44/12.00 thf(zip_derived_cl55, plain,
% 79.44/12.00 (![X0 : $i]: (~ (incident_c @ X0 @ sk16) | (incident_c @ X0 @ sk14))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl53])).
% 79.44/12.00 thf(zip_derived_cl162, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (((X0) = (sum @ sk16 @ X1))
% 79.44/12.00 | (incident_c @ (ax0_sk2 @ X1 @ sk16 @ X0) @ X1)
% 79.44/12.00 | (incident_c @ (ax0_sk2 @ X1 @ sk16 @ X0) @ X0)
% 79.44/12.00 | (incident_c @ (ax0_sk2 @ X1 @ sk16 @ X0) @ sk14))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl55])).
% 79.44/12.00 thf(zip_derived_cl5374, plain,
% 79.44/12.00 ((((sk14) = (sum @ sk16 @ sk14)) | ((sk14) = (sum @ sk16 @ sk14)))),
% 79.44/12.00 inference('s_sup+', [status(thm)], [zip_derived_cl227, zip_derived_cl162])).
% 79.44/12.00 thf(zip_derived_cl5487, plain, (((sk14) = (sum @ sk16 @ sk14))),
% 79.44/12.00 inference('simplify', [status(thm)], [zip_derived_cl5374])).
% 79.44/12.00 thf(zip_derived_cl59, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 ( (incident_c @ (ax0_sk1 @ X0 @ X1) @ X0) | (part_of @ X0 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 79.44/12.00 thf(proposition_2_14_2_68, conjecture, (~( part_of @ sk15 @ sk14 ))).
% 79.44/12.00 thf(zf_stmt_3, negated_conjecture, (part_of @ sk15 @ sk14),
% 79.44/12.00 inference('cnf.neg', [status(esa)], [proposition_2_14_2_68])).
% 79.44/12.00 thf(zip_derived_cl49, plain, ( (part_of @ sk15 @ sk14)),
% 79.44/12.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 79.44/12.00 thf(zip_derived_cl53, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (part_of @ X0 @ X1)
% 79.44/12.00 | ~ (incident_c @ X2 @ X0)
% 79.44/12.00 | (incident_c @ X2 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 79.44/12.00 thf(zip_derived_cl54, plain,
% 79.44/12.00 (![X0 : $i]: (~ (incident_c @ X0 @ sk15) | (incident_c @ X0 @ sk14))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl53])).
% 79.44/12.00 thf(zip_derived_cl60, plain,
% 79.44/12.00 (![X0 : $i]:
% 79.44/12.00 ( (part_of @ sk15 @ X0) | (incident_c @ (ax0_sk1 @ sk15 @ X0) @ sk14))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl54])).
% 79.44/12.00 thf(zip_derived_cl173, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk1 @ X2 @ (sum @ X1 @ X0)) @ X0)
% 79.44/12.00 | (part_of @ X2 @ (sum @ X1 @ X0)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl72])).
% 79.44/12.00 thf(zip_derived_cl3680, plain,
% 79.44/12.00 (![X0 : $i]:
% 79.44/12.00 ( (part_of @ sk15 @ (sum @ X0 @ sk14))
% 79.44/12.00 | (part_of @ sk15 @ (sum @ X0 @ sk14)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl173])).
% 79.44/12.00 thf(zip_derived_cl3689, plain,
% 79.44/12.00 (![X0 : $i]: (part_of @ sk15 @ (sum @ X0 @ sk14))),
% 79.44/12.00 inference('simplify', [status(thm)], [zip_derived_cl3680])).
% 79.44/12.00 thf(zip_derived_cl53, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (part_of @ X0 @ X1)
% 79.44/12.00 | ~ (incident_c @ X2 @ X0)
% 79.44/12.00 | (incident_c @ X2 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 79.44/12.00 thf(zip_derived_cl3696, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (incident_c @ X1 @ sk15) | (incident_c @ X1 @ (sum @ X0 @ sk14)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl3689, zip_derived_cl53])).
% 79.44/12.00 thf(zip_derived_cl72, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk1 @ X0 @ X1) @ X1) | (part_of @ X0 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 79.44/12.00 thf(zip_derived_cl12084, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk1 @ X1 @ (sum @ X0 @ sk14)) @ sk15)
% 79.44/12.00 | (part_of @ X1 @ (sum @ X0 @ sk14)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl3696, zip_derived_cl72])).
% 79.44/12.00 thf(zip_derived_cl108, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 (~ (incident_c @ (ax0_sk1 @ X2 @ (sum @ X1 @ X0)) @ X1)
% 79.44/12.00 | (part_of @ X2 @ (sum @ X1 @ X0)))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl72])).
% 79.44/12.00 thf(zip_derived_cl59, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 ( (incident_c @ (ax0_sk1 @ X0 @ X1) @ X0) | (part_of @ X0 @ X1))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 79.44/12.00 thf(sum_defn_4, axiom,
% 79.44/12.00 (( ( A ) != ( sum @ B @ C ) ) | ( ~( incident_c @ D @ A ) ) |
% 79.44/12.00 ( incident_c @ D @ B ) | ( incident_c @ D @ C ))).
% 79.44/12.00 thf(zip_derived_cl3, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 (((((X0) != (sum @ X1 @ X2))) | (((~) @ (incident_c @ X3 @ X0))) |
% 79.44/12.00 (incident_c @ X3 @ X1) | (incident_c @ X3 @ X2)))),
% 79.44/12.00 inference('cnf', [status(esa)], [sum_defn_4])).
% 79.44/12.00 thf(zip_derived_cl92, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 ( (((X0) != (sum @ X1 @ X2)))
% 79.44/12.00 | ~ (incident_c @ X3 @ X0)
% 79.44/12.00 | (incident_c @ X3 @ X1)
% 79.44/12.00 | (incident_c @ X3 @ X2))),
% 79.44/12.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl3])).
% 79.44/12.00 thf(zip_derived_cl93, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 79.44/12.00 (((X0) != (sum @ X1 @ X2))
% 79.44/12.00 | ~ (incident_c @ X3 @ X0)
% 79.44/12.00 | (incident_c @ X3 @ X1)
% 79.44/12.00 | (incident_c @ X3 @ X2))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)], [zip_derived_cl92])).
% 79.44/12.00 thf(zip_derived_cl94, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 ( (incident_c @ X1 @ X0)
% 79.44/12.00 | (incident_c @ X1 @ X2)
% 79.44/12.00 | ~ (incident_c @ X1 @ (sum @ X2 @ X0)))),
% 79.44/12.00 inference('eq_res', [status(thm)], [zip_derived_cl93])).
% 79.44/12.00 thf(zip_derived_cl103, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 ( (part_of @ (sum @ X1 @ X0) @ X2)
% 79.44/12.00 | (incident_c @ (ax0_sk1 @ (sum @ X1 @ X0) @ X2) @ X0)
% 79.44/12.00 | (incident_c @ (ax0_sk1 @ (sum @ X1 @ X0) @ X2) @ X1))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl94])).
% 79.44/12.00 thf(zip_derived_cl1426, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 ( (part_of @ (sum @ X2 @ X0) @ (sum @ X0 @ X1))
% 79.44/12.00 | (part_of @ (sum @ X2 @ X0) @ (sum @ X0 @ X1))
% 79.44/12.00 | (incident_c @ (ax0_sk1 @ (sum @ X2 @ X0) @ (sum @ X0 @ X1)) @ X2))),
% 79.44/12.00 inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl103])).
% 79.44/12.00 thf(zip_derived_cl1441, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 79.44/12.00 ( (incident_c @ (ax0_sk1 @ (sum @ X2 @ X0) @ (sum @ X0 @ X1)) @ X2)
% 79.44/12.00 | (part_of @ (sum @ X2 @ X0) @ (sum @ X0 @ X1)))),
% 79.44/12.00 inference('simplify', [status(thm)], [zip_derived_cl1426])).
% 79.44/12.00 thf(zip_derived_cl67771, plain,
% 79.44/12.00 (![X0 : $i]:
% 79.44/12.00 ( (part_of @ (sum @ sk15 @ X0) @ (sum @ X0 @ sk14))
% 79.44/12.00 | (part_of @ (sum @ sk15 @ X0) @ (sum @ X0 @ sk14)))),
% 79.44/12.00 inference('s_sup+', [status(thm)],
% 79.44/12.00 [zip_derived_cl12084, zip_derived_cl1441])).
% 79.44/12.00 thf(zip_derived_cl67863, plain,
% 79.44/12.00 (![X0 : $i]: (part_of @ (sum @ sk15 @ X0) @ (sum @ X0 @ sk14))),
% 79.44/12.00 inference('simplify', [status(thm)], [zip_derived_cl67771])).
% 79.44/12.00 thf(zip_derived_cl67949, plain, ( (part_of @ (sum @ sk15 @ sk16) @ sk14)),
% 79.44/12.00 inference('s_sup+', [status(thm)],
% 79.44/12.00 [zip_derived_cl5487, zip_derived_cl67863])).
% 79.44/12.00 thf(zip_derived_cl1022, plain,
% 79.44/12.00 (((ax0_sk12 @ sk16 @ sk15) = (sum @ sk15 @ sk16))),
% 79.44/12.00 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl1020])).
% 79.44/12.00 thf(zip_derived_cl67989, plain,
% 79.44/12.00 ( (part_of @ (ax0_sk12 @ sk16 @ sk15) @ sk14)),
% 79.44/12.00 inference('demod', [status(thm)],
% 79.44/12.00 [zip_derived_cl67949, zip_derived_cl1022])).
% 79.44/12.00 thf(zip_derived_cl68019, plain,
% 79.44/12.00 (![X0 : $i]: ( (open @ X0) | (part_of @ X0 @ sk14))),
% 79.44/12.00 inference('s_sup+', [status(thm)],
% 79.44/12.00 [zip_derived_cl6742, zip_derived_cl67989])).
% 79.44/12.00 thf(zip_derived_cl232, plain,
% 79.44/12.00 (![X0 : $i, X1 : $i]:
% 79.44/12.00 (~ (part_of @ X0 @ X1) | ((X0) = (X1)) | (open @ X0))),
% 79.44/12.00 inference('simplify nested equalities', [status(thm)],
% 79.44/12.00 [zip_derived_cl231])).
% 79.44/12.00 thf(zip_derived_cl68025, plain,
% 79.44/12.00 (![X0 : $i]: ( (open @ X0) | ((X0) = (sk14)) | (open @ X0))),
% 79.44/12.00 inference('s_sup-', [status(thm)],
% 79.44/12.00 [zip_derived_cl68019, zip_derived_cl232])).
% 79.44/12.00 thf(zip_derived_cl68030, plain,
% 79.44/12.00 (![X0 : $i]: (((X0) = (sk14)) | (open @ X0))),
% 79.44/12.00 inference('simplify', [status(thm)], [zip_derived_cl68025])).
% 79.44/12.00 thf(zip_derived_cl1023, plain, (~ (open @ (ax0_sk12 @ sk16 @ sk15))),
% 79.44/12.00 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl1022])).
% 79.44/12.00 thf(zip_derived_cl68042, plain, (((ax0_sk12 @ sk16 @ sk15) = (sk14))),
% 79.44/12.00 inference('s_sup-', [status(thm)],
% 79.44/12.00 [zip_derived_cl68030, zip_derived_cl1023])).
% 79.44/12.00 thf(proposition_2_14_2_67, conjecture, (~( open @ sk14 ))).
% 79.44/12.00 thf(zf_stmt_4, negated_conjecture, (open @ sk14),
% 79.44/12.00 inference('cnf.neg', [status(esa)], [proposition_2_14_2_67])).
% 79.44/12.00 thf(zip_derived_cl48, plain, ( (open @ sk14)),
% 79.44/12.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 79.44/12.00 thf(zip_derived_cl68046, plain, ($false),
% 79.44/12.00 inference('demod', [status(thm)],
% 79.44/12.00 [zip_derived_cl1023, zip_derived_cl68042, zip_derived_cl48])).
% 79.44/12.00
% 79.44/12.00 % SZS output end Refutation
% 79.44/12.00
% 79.44/12.00
% 79.44/12.00 % Terminating...
% 79.78/12.09 % Runner terminated.
% 79.78/12.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------