%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV677+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KNBNcX9obR true
% Computer : n002.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 : Tue May 5 06:56:19 PM UTC 2026
% Result : Theorem 9.26s 1.92s
% Output : Refutation 9.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV677+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KNBNcX9obR true
% 0.17/0.35 % Computer : n002.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue May 5 08:24:16 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.26/1.92 % Solved by fo/fo3_bce.sh.
% 9.26/1.92 % BCE start: 210
% 9.26/1.92 % BCE eliminated: 25
% 9.26/1.92 % PE start: 185
% 9.26/1.92 logic: eq
% 9.26/1.92 % PE eliminated: -13
% 9.26/1.92 % done 111 iterations in 1.175s
% 9.26/1.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.26/1.92 % SZS output start Refutation
% 9.26/1.92 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 9.26/1.92 thf(cU0_type, type, cU0: $i).
% 9.26/1.92 thf(cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t_type, type,
% 9.26/1.92 cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t: $i > $o).
% 9.26/1.92 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 9.26/1.92 thf(cX_type, type, cX: $i).
% 9.26/1.92 thf(cCoq_2eInit_2eDatatypes_2eS___24a1_type, type, cCoq_2eInit_2eDatatypes_2eS___24a1:
% 9.26/1.92 $i > $i).
% 9.26/1.92 thf(sk__9_type, type, sk__9: $i > $i).
% 9.26/1.92 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $o).
% 9.26/1.92 thf(cCoq_2eInit_2eDatatypes_2eO_type, type, cCoq_2eInit_2eDatatypes_2eO: $i).
% 9.26/1.92 thf(sk__35_type, type, sk__35: $i).
% 9.26/1.92 thf(cCoq_2eInit_2eDatatypes_2enat___24t_type, type, cCoq_2eInit_2eDatatypes_2enat___24t:
% 9.26/1.92 $i > $o).
% 9.26/1.92 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $o).
% 9.26/1.92 thf(cU1_type, type, cU1: $i).
% 9.26/1.92 thf(cTopology_2eTopologicalSpaces_2epoint__set___24a1_type, type, cTopology_2eTopologicalSpaces_2epoint__set___24a1:
% 9.26/1.92 $i > $i).
% 9.26/1.92 thf(sk__8_type, type, sk__8: $i > $i > $i).
% 9.26/1.92 thf(cTopology_2eTopologicalSpaces_2eopen___24a2_type, type, cTopology_2eTopologicalSpaces_2eopen___24a2:
% 9.26/1.92 $i > $i > $o).
% 9.26/1.92 thf(cCoq_2eSets_2eEnsembles_2eFull__set___24a1_type, type, cCoq_2eSets_2eEnsembles_2eFull__set___24a1:
% 9.26/1.92 $i > $i).
% 9.26/1.92 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $o).
% 9.26/1.92 thf(cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1_type, type,
% 9.26/1.92 cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1: $i > $i).
% 9.26/1.92 thf('$_def_UrysohnsLemma.Urysohns_Lemma_construction.Un', axiom,
% 9.26/1.92 (![V0__n:$i]:
% 9.26/1.92 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V0__n ) =>
% 9.26/1.92 ( ( ?[Vvar__0___24Anonymous__51809:$i]:
% 9.26/1.92 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @
% 9.26/1.92 Vvar__0___24Anonymous__51809 ) &
% 9.26/1.92 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @
% 9.26/1.92 Vvar__0___24Anonymous__51809 ) =>
% 9.26/1.92 ( ( ( ?[Vvar__0___24Anonymous__51812:$i]:
% 9.26/1.92 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @
% 9.26/1.92 Vvar__0___24Anonymous__51812 ) &
% 9.26/1.92 ( ( Vvar__0___24Anonymous__51809 ) =
% 9.26/1.92 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @
% 9.26/1.92 Vvar__0___24Anonymous__51812 ) ) &
% 9.26/1.92 ( ( cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1
% 9.26/1.92 @ V0__n ) =
% 9.26/1.92 ( cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 ( cTopology_2eTopologicalSpaces_2epoint__set___24a1
% 9.26/1.92 @ cX ) ) ) ) ) |
% 9.26/1.92 ( ( ( cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1
% 9.26/1.92 @ V0__n ) =
% 9.26/1.92 ( cU1 ) ) &
% 9.26/1.92 ( ( Vvar__0___24Anonymous__51809 ) =
% 9.26/1.92 ( cCoq_2eInit_2eDatatypes_2eO ) ) ) ) &
% 9.26/1.92 ( ( V0__n ) =
% 9.26/1.92 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @
% 9.26/1.92 Vvar__0___24Anonymous__51809 ) ) ) ) ) ) |
% 9.26/1.92 ( ( ( cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @
% 9.26/1.92 V0__n ) =
% 9.26/1.92 ( cU0 ) ) &
% 9.26/1.92 ( ( V0__n ) = ( cCoq_2eInit_2eDatatypes_2eO ) ) ) ) ))).
% 9.26/1.92 thf(zf_stmt_0, type, zip_tseitin_7 : $i > $o).
% 9.26/1.92 thf(zf_stmt_1, axiom,
% 9.26/1.92 (![V0__n:$i]:
% 9.26/1.92 ( ( zip_tseitin_7 @ V0__n ) =>
% 9.26/1.92 ( ( ( V0__n ) = ( cCoq_2eInit_2eDatatypes_2eO ) ) &
% 9.26/1.92 ( ( cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ V0__n ) =
% 9.26/1.92 ( cU0 ) ) ) ))).thf(zf_stmt_2, type, zip_tseitin_6 : $i > $i > $o).
% 9.26/1.92 thf(zf_stmt_3, axiom,
% 9.26/1.92 (![Vvar__0___24Anonymous__51809:$i,V0__n:$i]:
% 9.26/1.92 ( ( zip_tseitin_6 @ Vvar__0___24Anonymous__51809 @ V0__n ) =>
% 9.26/1.92 ( ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ Vvar__0___24Anonymous__51809 ) =>
% 9.26/1.92 ( zip_tseitin_5 @ Vvar__0___24Anonymous__51809 @ V0__n ) ) &
% 9.26/1.92 ( cCoq_2eInit_2eDatatypes_2enat___24t @ Vvar__0___24Anonymous__51809 ) ) ))).
% 9.26/1.92 thf(zf_stmt_4, type, zip_tseitin_5 : $i > $i > $o).
% 9.26/1.92 thf(zf_stmt_5, axiom,
% 9.26/1.92 (![Vvar__0___24Anonymous__51809:$i,V0__n:$i]:
% 9.26/1.92 ( ( zip_tseitin_5 @ Vvar__0___24Anonymous__51809 @ V0__n ) =>
% 9.26/1.92 ( ( ( V0__n ) =
% 9.26/1.92 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ Vvar__0___24Anonymous__51809 ) ) &
% 9.26/1.92 ( ( zip_tseitin_4 @ Vvar__0___24Anonymous__51809 @ V0__n ) |
% 9.26/1.92 ( ?[Vvar__0___24Anonymous__51812:$i]:
% 9.26/1.92 ( zip_tseitin_3 @
% 9.26/1.92 Vvar__0___24Anonymous__51812 @ Vvar__0___24Anonymous__51809 @
% 9.26/1.92 V0__n ) ) ) ) ))).
% 9.26/1.92 thf(zf_stmt_6, type, zip_tseitin_4 : $i > $i > $o).
% 9.26/1.92 thf(zf_stmt_7, axiom,
% 9.26/1.92 (![Vvar__0___24Anonymous__51809:$i,V0__n:$i]:
% 9.26/1.92 ( ( zip_tseitin_4 @ Vvar__0___24Anonymous__51809 @ V0__n ) =>
% 9.26/1.92 ( ( ( Vvar__0___24Anonymous__51809 ) = ( cCoq_2eInit_2eDatatypes_2eO ) ) &
% 9.26/1.92 ( ( cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ V0__n ) =
% 9.26/1.92 ( cU1 ) ) ) ))).
% 9.26/1.92 thf(zf_stmt_8, type, zip_tseitin_3 : $i > $i > $i > $o).
% 9.26/1.92 thf(zf_stmt_9, axiom,
% 9.26/1.92 (![Vvar__0___24Anonymous__51812:$i,Vvar__0___24Anonymous__51809:$i,V0__n:$i]:
% 9.26/1.92 ( ( zip_tseitin_3 @
% 9.26/1.92 Vvar__0___24Anonymous__51812 @ Vvar__0___24Anonymous__51809 @ V0__n ) =>
% 9.26/1.92 ( ( ( cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ V0__n ) =
% 9.26/1.92 ( cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 ( cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ cX ) ) ) &
% 9.26/1.92 ( ( Vvar__0___24Anonymous__51809 ) =
% 9.26/1.92 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ Vvar__0___24Anonymous__51812 ) ) &
% 9.26/1.92 ( cCoq_2eInit_2eDatatypes_2enat___24t @ Vvar__0___24Anonymous__51812 ) ) ))).
% 9.26/1.92 thf(zf_stmt_10, axiom,
% 9.26/1.92 (![V0__n:$i]:
% 9.26/1.92 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V0__n ) =>
% 9.26/1.92 ( ( zip_tseitin_7 @ V0__n ) |
% 9.26/1.92 ( ?[Vvar__0___24Anonymous__51809:$i]:
% 9.26/1.92 ( zip_tseitin_6 @ Vvar__0___24Anonymous__51809 @ V0__n ) ) ) ))).
% 9.26/1.92 thf(zip_derived_cl49, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 ( (zip_tseitin_6 @ (sk__9 @ X0) @ X0)
% 9.26/1.92 | (zip_tseitin_7 @ X0)
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 9.26/1.92 thf(zip_derived_cl48, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU0))
% 9.26/1.92 | ~ (zip_tseitin_7 @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.26/1.92 thf(zip_derived_cl1384, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (zip_tseitin_6 @ (sk__9 @ X0) @ X0)
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU0)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl49, zip_derived_cl48])).
% 9.26/1.92 thf(zip_derived_cl45, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (zip_tseitin_5 @ X0 @ X1)
% 9.26/1.92 | ~ (zip_tseitin_6 @ X0 @ X1))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.26/1.92 thf(zip_derived_cl1397, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU0))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (zip_tseitin_5 @ (sk__9 @ X0) @ X0)
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ (sk__9 @ X0)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl1384, zip_derived_cl45])).
% 9.26/1.92 thf(zip_derived_cl43, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 (((X1) = (cCoq_2eInit_2eDatatypes_2eS___24a1 @ X0))
% 9.26/1.92 | ~ (zip_tseitin_5 @ X0 @ X1))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.26/1.92 thf(zip_derived_cl1431, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ (sk__9 @ X0))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU0))
% 9.26/1.92 | ((X0) = (cCoq_2eInit_2eDatatypes_2eS___24a1 @ (sk__9 @ X0))))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl1397, zip_derived_cl43])).
% 9.26/1.92 thf(zip_derived_cl1384, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (zip_tseitin_6 @ (sk__9 @ X0) @ X0)
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU0)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl49, zip_derived_cl48])).
% 9.26/1.92 thf(zip_derived_cl46, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 ( (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | ~ (zip_tseitin_6 @ X0 @ X1))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.26/1.92 thf(zip_derived_cl1398, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU0))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (cCoq_2eInit_2eDatatypes_2enat___24t @ (sk__9 @ X0)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl1384, zip_derived_cl46])).
% 9.26/1.92 thf(zip_derived_cl1681, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((X0) = (cCoq_2eInit_2eDatatypes_2eS___24a1 @ (sk__9 @ X0)))
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU0))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0))),
% 9.26/1.92 inference('clc', [status(thm)], [zip_derived_cl1431, zip_derived_cl1398])).
% 9.26/1.92 thf('$_discrim_Coq.Init.Datatypes.O$Coq.Init.Datatypes.S', axiom,
% 9.26/1.92 (![Vvar__0___24Anonymous__3:$i]:
% 9.26/1.92 ( ( cCoq_2eInit_2eDatatypes_2eO ) !=
% 9.26/1.92 ( cCoq_2eInit_2eDatatypes_2eS___24a1 @ Vvar__0___24Anonymous__3 ) ))).
% 9.26/1.92 thf(zip_derived_cl50, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 ((cCoq_2eInit_2eDatatypes_2eO)
% 9.26/1.92 != (cCoq_2eInit_2eDatatypes_2eS___24a1 @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)],
% 9.26/1.92 [$_discrim_Coq.Init.Datatypes.O$Coq.Init.Datatypes.S])).
% 9.26/1.92 thf(zip_derived_cl1682, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((cCoq_2eInit_2eDatatypes_2eO) != (X0))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU0)))),
% 9.26/1.92 inference('sup-', [status(thm)], [zip_derived_cl1681, zip_derived_cl50])).
% 9.26/1.92 thf('_HAMMER_GOAL', conjecture,
% 9.26/1.92 (![V0__n:$i]:
% 9.26/1.92 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V0__n ) =>
% 9.26/1.92 ( cTopology_2eTopologicalSpaces_2eopen___24a2 @
% 9.26/1.92 cX @
% 9.26/1.92 ( cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ V0__n ) ) ))).
% 9.26/1.92 thf(zf_stmt_11, negated_conjecture,
% 9.26/1.92 (~( ![V0__n:$i]:
% 9.26/1.92 ( ( cCoq_2eInit_2eDatatypes_2enat___24t @ V0__n ) =>
% 9.26/1.92 ( cTopology_2eTopologicalSpaces_2eopen___24a2 @
% 9.26/1.92 cX @
% 9.26/1.92 ( cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @
% 9.26/1.92 V0__n ) ) ) )),
% 9.26/1.92 inference('cnf.neg', [status(esa)], [_HAMMER_GOAL])).
% 9.26/1.92 thf(zip_derived_cl209, plain,
% 9.26/1.92 (~ (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @
% 9.26/1.92 (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ sk__35))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.26/1.92 thf(Topology.TopologicalSpaces.open_full, axiom,
% 9.26/1.92 (![V0__t:$i]:
% 9.26/1.92 ( ( cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t @ V0__t ) =>
% 9.26/1.92 ( cTopology_2eTopologicalSpaces_2eopen___24a2 @
% 9.26/1.92 V0__t @
% 9.26/1.92 ( cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 ( cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ V0__t ) ) ) ))).
% 9.26/1.92 thf(zip_derived_cl187, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 ( (cTopology_2eTopologicalSpaces_2eopen___24a2 @ X0 @
% 9.26/1.92 (cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 (cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ X0)))
% 9.26/1.92 | ~ (cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)], [Topology.TopologicalSpaces.open_full])).
% 9.26/1.92 thf(zip_derived_cl49, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 ( (zip_tseitin_6 @ (sk__9 @ X0) @ X0)
% 9.26/1.92 | (zip_tseitin_7 @ X0)
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 9.26/1.92 thf(zip_derived_cl47, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((X0) = (cCoq_2eInit_2eDatatypes_2eO)) | ~ (zip_tseitin_7 @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 9.26/1.92 thf(zip_derived_cl1383, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (zip_tseitin_6 @ (sk__9 @ X0) @ X0)
% 9.26/1.92 | ((X0) = (cCoq_2eInit_2eDatatypes_2eO)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl49, zip_derived_cl47])).
% 9.26/1.92 thf(zip_derived_cl45, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (zip_tseitin_5 @ X0 @ X1)
% 9.26/1.92 | ~ (zip_tseitin_6 @ X0 @ X1))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.26/1.92 thf(zip_derived_cl1395, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((X0) = (cCoq_2eInit_2eDatatypes_2eO))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (zip_tseitin_5 @ (sk__9 @ X0) @ X0)
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ (sk__9 @ X0)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl1383, zip_derived_cl45])).
% 9.26/1.92 thf(zip_derived_cl44, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 ( (zip_tseitin_3 @ (sk__8 @ X0 @ X1) @ X1 @ X0)
% 9.26/1.92 | (zip_tseitin_4 @ X1 @ X0)
% 9.26/1.92 | ~ (zip_tseitin_5 @ X1 @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 9.26/1.92 thf(zip_derived_cl42, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 (((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU1))
% 9.26/1.92 | ~ (zip_tseitin_4 @ X1 @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 9.26/1.92 thf(zip_derived_cl1386, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 (~ (zip_tseitin_5 @ X1 @ X0)
% 9.26/1.92 | (zip_tseitin_3 @ (sk__8 @ X0 @ X1) @ X1 @ X0)
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU1)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl44, zip_derived_cl42])).
% 9.26/1.92 thf(zip_derived_cl38, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.26/1.92 (((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 (cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ cX)))
% 9.26/1.92 | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 9.26/1.92 thf(zip_derived_cl1417, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 (((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU1))
% 9.26/1.92 | ~ (zip_tseitin_5 @ X1 @ X0)
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 (cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ cX))))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl1386, zip_derived_cl38])).
% 9.26/1.92 thf(zip_derived_cl1428, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ (sk__9 @ X0))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | ((X0) = (cCoq_2eInit_2eDatatypes_2eO))
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 (cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ cX)))
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU1)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl1395, zip_derived_cl1417])).
% 9.26/1.92 thf(zip_derived_cl1383, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (zip_tseitin_6 @ (sk__9 @ X0) @ X0)
% 9.26/1.92 | ((X0) = (cCoq_2eInit_2eDatatypes_2eO)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl49, zip_derived_cl47])).
% 9.26/1.92 thf(zip_derived_cl46, plain,
% 9.26/1.92 (![X0 : $i, X1 : $i]:
% 9.26/1.92 ( (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | ~ (zip_tseitin_6 @ X0 @ X1))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 9.26/1.92 thf(zip_derived_cl1396, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((X0) = (cCoq_2eInit_2eDatatypes_2eO))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0)
% 9.26/1.92 | (cCoq_2eInit_2eDatatypes_2enat___24t @ (sk__9 @ X0)))),
% 9.26/1.92 inference('dp-resolution', [status(thm)],
% 9.26/1.92 [zip_derived_cl1383, zip_derived_cl46])).
% 9.26/1.92 thf(zip_derived_cl1527, plain,
% 9.26/1.92 (![X0 : $i]:
% 9.26/1.92 (((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cU1))
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ X0)
% 9.26/1.92 = (cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 (cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ cX)))
% 9.26/1.92 | ((X0) = (cCoq_2eInit_2eDatatypes_2eO))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ X0))),
% 9.26/1.92 inference('clc', [status(thm)], [zip_derived_cl1428, zip_derived_cl1396])).
% 9.26/1.92 thf(zip_derived_cl209, plain,
% 9.26/1.92 (~ (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @
% 9.26/1.92 (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ sk__35))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.26/1.92 thf(zip_derived_cl1528, plain,
% 9.26/1.92 ((~ (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @
% 9.26/1.92 (cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 (cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ cX)))
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__35)
% 9.26/1.92 | ((sk__35) = (cCoq_2eInit_2eDatatypes_2eO))
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ sk__35)
% 9.26/1.92 = (cU1)))),
% 9.26/1.92 inference('sup-', [status(thm)], [zip_derived_cl1527, zip_derived_cl209])).
% 9.26/1.92 thf(zip_derived_cl208, plain,
% 9.26/1.92 ( (cCoq_2eInit_2eDatatypes_2enat___24t @ sk__35)),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.26/1.92 thf(zip_derived_cl1530, plain,
% 9.26/1.92 ((~ (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @
% 9.26/1.92 (cCoq_2eSets_2eEnsembles_2eFull__set___24a1 @
% 9.26/1.92 (cTopology_2eTopologicalSpaces_2epoint__set___24a1 @ cX)))
% 9.26/1.92 | ((sk__35) = (cCoq_2eInit_2eDatatypes_2eO))
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ sk__35)
% 9.26/1.92 = (cU1)))),
% 9.26/1.92 inference('demod', [status(thm)], [zip_derived_cl1528, zip_derived_cl208])).
% 9.26/1.92 thf(zip_derived_cl1532, plain,
% 9.26/1.92 ((~ (cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t @ cX)
% 9.26/1.92 | ((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ sk__35)
% 9.26/1.92 = (cU1))
% 9.26/1.92 | ((sk__35) = (cCoq_2eInit_2eDatatypes_2eO)))),
% 9.26/1.92 inference('sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl1530])).
% 9.26/1.92 thf('$_typeof_X', axiom,
% 9.26/1.92 (cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t @ cX)).
% 9.26/1.92 thf(zip_derived_cl89, plain,
% 9.26/1.92 ( (cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t @ cX)),
% 9.26/1.92 inference('cnf', [status(esa)], [$_typeof_X])).
% 9.26/1.92 thf(zip_derived_cl1533, plain,
% 9.26/1.92 ((((cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ sk__35)
% 9.26/1.92 = (cU1))
% 9.26/1.92 | ((sk__35) = (cCoq_2eInit_2eDatatypes_2eO)))),
% 9.26/1.92 inference('demod', [status(thm)], [zip_derived_cl1532, zip_derived_cl89])).
% 9.26/1.92 thf(zip_derived_cl209, plain,
% 9.26/1.92 (~ (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @
% 9.26/1.92 (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @ sk__35))),
% 9.26/1.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 9.26/1.92 thf(zip_derived_cl1536, plain,
% 9.26/1.92 ((~ (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @ cU1)
% 9.26/1.92 | ((sk__35) = (cCoq_2eInit_2eDatatypes_2eO)))),
% 9.26/1.92 inference('sup-', [status(thm)], [zip_derived_cl1533, zip_derived_cl209])).
% 9.26/1.92 thf(U1_open, axiom, (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @ cU1)).
% 9.26/1.92 thf(zip_derived_cl192, plain,
% 9.26/1.92 ( (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @ cU1)),
% 9.26/1.92 inference('cnf', [status(esa)], [U1_open])).
% 9.26/1.92 thf(zip_derived_cl1539, plain, (((sk__35) = (cCoq_2eInit_2eDatatypes_2eO))),
% 9.26/1.92 inference('demod', [status(thm)], [zip_derived_cl1536, zip_derived_cl192])).
% 9.26/1.92 thf(zip_derived_cl1541, plain,
% 9.26/1.92 (~ (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @
% 9.26/1.92 (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1 @
% 9.26/1.92 cCoq_2eInit_2eDatatypes_2eO))),
% 9.26/1.92 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl1539])).
% 9.26/1.92 thf(zip_derived_cl1706, plain,
% 9.26/1.92 ((~ (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @ cU0)
% 9.26/1.92 | ~ (cCoq_2eInit_2eDatatypes_2enat___24t @ cCoq_2eInit_2eDatatypes_2eO)
% 9.26/1.92 | ((cCoq_2eInit_2eDatatypes_2eO) != (cCoq_2eInit_2eDatatypes_2eO)))),
% 9.26/1.92 inference('sup-', [status(thm)], [zip_derived_cl1682, zip_derived_cl1541])).
% 9.26/1.92 thf(U0_open, axiom, (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @ cU0)).
% 9.26/1.92 thf(zip_derived_cl191, plain,
% 9.26/1.92 ( (cTopology_2eTopologicalSpaces_2eopen___24a2 @ cX @ cU0)),
% 9.26/1.92 inference('cnf', [status(esa)], [U0_open])).
% 9.26/1.92 thf('$_typeof_Coq.Init.Datatypes.O', axiom,
% 9.26/1.92 (cCoq_2eInit_2eDatatypes_2enat___24t @ cCoq_2eInit_2eDatatypes_2eO)).
% 9.26/1.92 thf(zip_derived_cl85, plain,
% 9.26/1.92 ( (cCoq_2eInit_2eDatatypes_2enat___24t @ cCoq_2eInit_2eDatatypes_2eO)),
% 9.26/1.92 inference('cnf', [status(esa)], [$_typeof_Coq.Init.Datatypes.O])).
% 9.26/1.92 thf(zip_derived_cl1709, plain,
% 9.26/1.92 (((cCoq_2eInit_2eDatatypes_2eO) != (cCoq_2eInit_2eDatatypes_2eO))),
% 9.26/1.92 inference('demod', [status(thm)],
% 9.26/1.92 [zip_derived_cl1706, zip_derived_cl191, zip_derived_cl85])).
% 9.26/1.92 thf(zip_derived_cl1710, plain, ($false),
% 9.26/1.92 inference('simplify', [status(thm)], [zip_derived_cl1709])).
% 9.26/1.92
% 9.26/1.92 % SZS output end Refutation
% 9.26/1.92
% 9.26/1.92
% 9.26/1.92 % Terminating...
% 9.26/1.99 % Runner terminated.
% 9.26/2.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------