%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEV677+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n001.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 06:52:03 PM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV677+1 : TPTP v9.3.0. Released v9.3.0. % 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue May 5 08:23:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.53 # SinE strategy is gf120_h_gu_RUU_F100_L00500 % 0.30/0.53 # Auto-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S2q % 0.30/0.53 # and selection function SelectCQArNTNp. % 0.30/0.53 # % 0.30/0.53 # Presaturation interreduction done % 0.30/0.53 # Number of axioms: 104 Number of unprocessed: 102 % 0.30/0.53 # Tableaux proof search. % 0.30/0.53 # APR header successfully linked. % 0.30/0.53 # Hello from C++ % 0.30/0.53 # The folding up rule is enabled... % 0.30/0.53 # Local unification is enabled... % 0.30/0.53 # Any saturation attempts will use folding labels... % 0.30/0.53 # 102 beginning clauses after preprocessing and clausification % 0.30/0.53 # Creating start rules for all 2 conjectures. % 0.30/0.53 # There are 2 start rule candidates: % 0.30/0.53 # Found 11 unit axioms. % 0.30/0.53 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.30/0.53 # 2 start rule tableaux created. % 0.30/0.53 # 91 extension rule candidate clauses % 0.30/0.53 # 11 unit axiom clauses % 0.30/0.53 % 0.30/0.53 # Requested 8, 32 cores available to the main process. % 0.30/0.53 # There are not enough tableaux to fork, creating more from the initial 2 % 0.30/0.53 # Returning from population with 18 new_tableaux and 0 remaining starting tableaux. % 0.30/0.53 # We now have 18 tableaux to operate on % 0.38/0.58 # Creating equality axioms % 0.38/0.58 # Ran out of tableaux, making start rules for all clauses % 0.38/0.58 # There were 1 total branch saturation attempts. % 0.38/0.58 # There were 0 of these attempts blocked. % 0.38/0.58 # There were 0 deferred branch saturation attempts. % 0.38/0.58 # There were 0 free duplicated saturations. % 0.38/0.58 # There were 1 total successful branch saturations. % 0.38/0.58 # There were 0 successful branch saturations in interreduction. % 0.38/0.58 # There were 0 successful branch saturations on the branch. % 0.38/0.58 # There were 1 successful branch saturations after the branch. % 0.38/0.58 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.38/0.58 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.38/0.58 # Begin clausification derivation % 0.38/0.58 % 0.38/0.58 # End clausification derivation % 0.38/0.58 # Begin listing active clauses obtained from FOF to CNF conversion % 0.38/0.58 cnf(i_0_2, negated_conjecture, (cCoq_2eInit_2eDatatypes_2enat___24t(esk1_0))). % 0.38/0.58 cnf(i_0_30, plain, (cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eDatatypes_2eO))). % 0.38/0.58 cnf(i_0_19, plain, (cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(cX))). % 0.38/0.58 cnf(i_0_32, plain, (cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cU0))). % 0.38/0.58 cnf(i_0_87, plain, (p(c_24True))). % 0.38/0.58 cnf(i_0_26, plain, (cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cU1))). % 0.38/0.58 cnf(i_0_31, plain, (cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX),cU0))). % 0.38/0.58 cnf(i_0_24, plain, (cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX),cU1))). % 0.38/0.58 cnf(i_0_25, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX),cTopology_2eInteriorsClosures_2eclosure___24a2(cX,cU0),cU1))). % 0.38/0.58 cnf(i_0_1, negated_conjecture, (~cTopology_2eTopologicalSpaces_2eopen___24a2(cX,cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(esk1_0)))). % 0.38/0.58 cnf(i_0_27, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(X1)!=cCoq_2eInit_2eDatatypes_2eO)). % 0.38/0.58 cnf(i_0_23, plain, (X1=X2|cCoq_2eInit_2eDatatypes_2eS___24a1(X1)!=cCoq_2eInit_2eDatatypes_2eS___24a1(X2))). % 0.38/0.58 cnf(i_0_89, plain, (~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X1),X2)|~t(X2,X1)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_73, plain, (t(X1,cTopology_2eTopologicalSpaces_2epoint__set___24a1(X2))|~cTopology_2eTopologicalSpaces_2epoint__set___24t(X2,X1))). % 0.38/0.58 cnf(i_0_18, plain, (X1=cCoq_2eInit_2eDatatypes_2eO|cCoq_2eInit_2eDatatypes_2enat___24t(esk2_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_29, plain, (X1=cCoq_2eInit_2eDatatypes_2eO|cCoq_2eInit_2eDatatypes_2enat___24t(esk4_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_10, plain, (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU0|cCoq_2eInit_2eDatatypes_2enat___24t(esk2_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_28, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk4_1(X1))=X1|X1=cCoq_2eInit_2eDatatypes_2eO|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_72, plain, (cTopology_2eTopologicalSpaces_2epoint__set___24t(X1,X2)|~t(X2,cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1)))). % 0.38/0.58 cnf(i_0_64, plain, (~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X1))|~cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X1))|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_33, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,X3)|~p(happ(X2,X3)))). % 0.38/0.58 cnf(i_0_92, plain, (cTopology_2eTopologicalSpaces_2eopen___24a2(X1,cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1)))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1))). % 0.38/0.58 cnf(i_0_22, plain, (cTopology_2eTopologicalSpaces_2eopen___24a2(X1,cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1)))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1))). % 0.38/0.58 cnf(i_0_13, plain, (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU1|X1=cCoq_2eInit_2eDatatypes_2eO|cCoq_2eInit_2eDatatypes_2enat___24t(esk3_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_5, plain, (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU1|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU0|cCoq_2eInit_2eDatatypes_2enat___24t(esk3_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_17, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk2_1(X1))=X1|X1=cCoq_2eInit_2eDatatypes_2eO|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_9, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk2_1(X1))=X1|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU0|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_42, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X3)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X3,esk5_3(X1,X2,X3)))). % 0.38/0.58 cnf(i_0_102, plain, (cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X1)!=cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_34, plain, (p(happ(X1,X2))|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X3,X1,X2))). % 0.38/0.58 cnf(i_0_47, plain, (cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2)=X2|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_85, plain, (cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X2)=X2|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_16, plain, (esk2_1(X1)=cCoq_2eInit_2eDatatypes_2eO|X1=cCoq_2eInit_2eDatatypes_2eO|cCoq_2eInit_2eDatatypes_2enat___24t(esk3_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_8, plain, (esk2_1(X1)=cCoq_2eInit_2eDatatypes_2eO|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU0|cCoq_2eInit_2eDatatypes_2enat___24t(esk3_1(X1))|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_11, plain, (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX))|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU1|X1=cCoq_2eInit_2eDatatypes_2eO|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_3, plain, (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX))|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU1|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU0|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_14, plain, (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX))|esk2_1(X1)=cCoq_2eInit_2eDatatypes_2eO|X1=cCoq_2eInit_2eDatatypes_2eO|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_20, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,cCoq_2eSets_2eEnsembles_2eFull__set___24a1(X1),X2)|~t(X2,X1)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_91, plain, (X1=cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X2)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X2,X1,cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X2))|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X2,X1)|~cType___24t(X2))). % 0.38/0.58 cnf(i_0_88, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X1),X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_46, plain, (cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_44, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X3)|t(esk5_3(X1,X2,X3),X1))). % 0.38/0.58 cnf(i_0_6, plain, (cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cCoq_2eSets_2eEnsembles_2eFull__set___24a1(cTopology_2eTopologicalSpaces_2epoint__set___24a1(cX))|esk2_1(X1)=cCoq_2eInit_2eDatatypes_2eO|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU0|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_21, plain, (cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,cCoq_2eSets_2eEnsembles_2eFull__set___24a1(X1),X2)=X2|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_80, plain, (cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X1),X2)=X2|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_12, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk3_1(X1))=esk2_1(X1)|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU1|X1=cCoq_2eInit_2eDatatypes_2eO|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_15, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk3_1(X1))=esk2_1(X1)|esk2_1(X1)=cCoq_2eInit_2eDatatypes_2eO|X1=cCoq_2eInit_2eDatatypes_2eO|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_43, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X3)|cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,esk5_3(X1,X2,X3)))). % 0.38/0.58 cnf(i_0_68, plain, (cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,X2)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,X3)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_62, plain, (t(esk7_2(X1,X2),X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_61, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,esk7_2(X1,X2))|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_101, plain, (cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3))|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_4, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk3_1(X1))=esk2_1(X1)|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU1|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU0|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_7, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(esk3_1(X1))=esk2_1(X1)|esk2_1(X1)=cCoq_2eInit_2eDatatypes_2eO|cUrysohnsLemma_2eUrysohns__Lemma__construction_2eUn___24a1(X1)=cU0|~cCoq_2eInit_2eDatatypes_2enat___24t(X1))). % 0.38/0.58 cnf(i_0_50, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_109, plain, (cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3)=X2|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,X3)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_81, plain, (cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X3)=X2|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X3,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_63, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eEmpty__set___24a1(X1))|cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_77, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X3,X2))|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_45, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,X3)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X4,X2)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X4,X3)|~t(X3,X1))). % 0.38/0.58 cnf(i_0_76, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X3))|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_99, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3),X3)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_37, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X2,X3),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_36, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X2,X3),X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_39, plain, (cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X2,X3)=cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X3,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_84, plain, (cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X3)=cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X3,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_67, plain, (t(esk8_3(X1,X2,X3),X1)|p(X3)|~cProp___24t(X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_71, plain, (t(esk9_3(X1,X2,X3),X1)|p(X3)|~cProp___24t(X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_66, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,esk8_3(X1,X2,X3))|p(X3)|~cProp___24t(X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_70, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,esk9_3(X1,X2,X3))|p(X3)|~cProp___24t(X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cCoq_2eSets_2eEnsembles_2eInhabited___24a2(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_100, plain, (X1=X2|cCoq_2eSets_2eEnsembles_2eIn___24a3(X3,X4,X2)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X3,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X3,X4,X1),X2)|~t(X2,X3)|~t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X3,X4)|~cType___24t(X3))). % 0.38/0.58 cnf(i_0_98, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3),X4)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,X4)|~t(X4,X1)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_75, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X3),X4)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X3,X4)|~t(X4,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_74, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X3),X4)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,X4)|~t(X4,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_56, plain, (cTopology_2eTopologicalSpaces_2eopen___24a2(X1,esk6_3(X1,X2,X3))|cCoq_2eSets_2eEnsembles_2eIn___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),X3)|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2epoint__set___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_41, plain, (cTopology_2eTopologicalSpaces_2eopen___24a2(X1,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2eopen___24a2(X1,X3)|~cTopology_2eTopologicalSpaces_2eopen___24a2(X1,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_86, plain, (cTopology_2eTopologicalSpaces_2eopen___24a2(X1,cCoq_2eSets_2eEnsembles_2eUnion___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2eopen___24a2(X1,X3)|~cTopology_2eTopologicalSpaces_2eopen___24a2(X1,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_58, plain, (cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,X3)|~cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_59, plain, (cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,cCoq_2eSets_2eEnsembles_2eUnion___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,X3)|~cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_57, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),X3)|cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),esk6_3(X1,X2,X3))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2epoint__set___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_55, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),esk6_3(X1,X2,X3),X3)|cCoq_2eSets_2eEnsembles_2eIn___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),X3)|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2epoint__set___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_38, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X3,X4))|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X4)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X4)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_35, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X2,X3),X4)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X3,X4)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,X4)|~t(X4,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_78, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X3),X4)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X3,X4)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X4)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X4)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_111, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X3)|cCoq_2eSets_2eEnsembles_2eIn___24a3(X1,X2,X4)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X4),cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X3,X4))|~t(X4,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_40, plain, (cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X2,X3),X4)=cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(X1,X3,X4))|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X4)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_49, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X3))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_52, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),X3)|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2eclosed___24a2(X1,X3)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_54, plain, (cCoq_2eSets_2eEnsembles_2eIn___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),X3)|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2epoint__set___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2)|~cCoq_2eSets_2eEnsembles_2eInhabited___24a2(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cCoq_2eSets_2eEnsembles_2eIntersection___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,esk6_3(X1,X2,X3))))). % 0.38/0.58 cnf(i_0_82, plain, (cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X3,X4))=cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X3),X4)|~t(X4,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_53, plain, (cTopology_2eInteriorsClosures_2eclosure___24a2(X1,cCoq_2eSets_2eEnsembles_2eUnion___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3))=cCoq_2eSets_2eEnsembles_2eUnion___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X3))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_83, plain, (cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,X3),X4)=cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,X3,X4))|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X4)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_106, plain, (X1=X2|cCoq_2eSets_2eEnsembles_2eIn___24a3(X3,X1,X4)|cCoq_2eSets_2eEnsembles_2eIn___24a3(X3,X2,X4)|cCoq_2eSets_2eEnsembles_2eAdd___24a3(X3,X1,X4)!=cCoq_2eSets_2eEnsembles_2eAdd___24a3(X3,X2,X4)|~t(X4,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X3,X2)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X3,X1)|~cType___24t(X3))). % 0.38/0.58 cnf(i_0_110, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3),cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X4,X3))|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X4)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X4)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_105, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X3)|cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,esk10_4(X1,X2,X3,X4))|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X3,X4))|~t(X4,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_103, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,esk10_4(X1,X2,X3,X4),X3)|cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X3)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X3,X4))|~t(X4,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_107, plain, (cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3),X4)=cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X4),X3)|~t(X4,X1)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_104, plain, (cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,esk10_4(X1,X2,X3,X4),X4)=X2|cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,X3)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X2,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X3,X4))|~t(X4,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_79, plain, (cCoq_2eSets_2eEnsembles_2eUnion___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3),cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X4,X5))=cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3),X5)|~cCoq_2eSets_2eEnsembles_2eIncluded___24a3(X1,X4,X2)|~t(X5,X1)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X4)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_51, plain, (cCoq_2eSets_2eEnsembles_2eIncluded___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,cCoq_2eSets_2eEnsembles_2eIntersection___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3)),cCoq_2eSets_2eEnsembles_2eIntersection___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X3)))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_48, plain, (cCoq_2eSets_2eEnsembles_2eInhabited___24a2(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cCoq_2eSets_2eEnsembles_2eIntersection___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2,X3))|~cTopology_2eTopologicalSpaces_2eTopologicalSpace___24t(X1)|~cTopology_2eTopologicalSpaces_2epoint__set___24t(X1,X4)|~cTopology_2eTopologicalSpaces_2eopen___24a2(X1,X3)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),cTopology_2eInteriorsClosures_2eclosure___24a2(X1,X2),X4)|~cCoq_2eSets_2eEnsembles_2eIn___24a3(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3,X4)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X3)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(cTopology_2eTopologicalSpaces_2epoint__set___24a1(X1),X2))). % 0.38/0.58 cnf(i_0_108, plain, (cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X3),X4),X5)=cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,cCoq_2eSets_2eEnsembles_2eAdd___24a3(X1,X2,X5),X3),X4)|~t(X5,X1)|~t(X4,X1)|~t(X3,X1)|~cCoq_2eSets_2eEnsembles_2eEnsemble___24t(X1,X2)|~cType___24t(X1))). % 0.38/0.58 cnf(i_0_1731, plain, (X2388=X2388)). % 0.38/0.58 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.38/0.58 # Begin printing tableau % 0.38/0.58 # Found 5 steps % 0.38/0.58 cnf(i_0_1731, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(c_24True)=cCoq_2eInit_2eDatatypes_2eS___24a1(c_24True)), inference(start_rule)). % 0.38/0.58 cnf(i_0_2173, plain, (cCoq_2eInit_2eDatatypes_2eS___24a1(c_24True)=cCoq_2eInit_2eDatatypes_2eS___24a1(c_24True)), inference(extension_rule, [i_0_23])). % 0.38/0.58 cnf(i_0_2174, plain, (c_24True=c_24True), inference(extension_rule, [i_0_1735])). % 0.38/0.58 cnf(i_0_7227, plain, (~p(c_24True)), inference(closure_rule, [i_0_87])). % 0.38/0.58 cnf(i_0_7225, plain, (p(c_24True)), inference(etableau_closure_rule, [i_0_7225, ...])). % 0.38/0.58 # End printing tableau % 0.38/0.58 # SZS output end % 0.38/0.58 # Branches closed with saturation will be marked with an "s" % 0.38/0.59 # Child (3665) has found a proof. % 0.38/0.59 % 0.38/0.59 # Proof search is over... % 0.38/0.59 # Freeing feature tree %------------------------------------------------------------------------------