%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0. % 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 : n010.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 : 600s % DateTime : Tue Jul 19 09:26:00 EDT 2022 % Result : Theorem 0.20s 0.47s % Output : CNFRefutation 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.35 % Computer : n010.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun Jun 19 10:34:22 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.39 # No SInE strategy applied % 0.20/0.39 # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.20/0.39 # and selection function SelectComplexExceptUniqMaxHorn. % 0.20/0.39 # % 0.20/0.39 # Presaturation interreduction done % 0.20/0.39 # Number of axioms: 86 Number of unprocessed: 86 % 0.20/0.39 # Tableaux proof search. % 0.20/0.39 # APR header successfully linked. % 0.20/0.39 # Hello from C++ % 0.20/0.39 # The folding up rule is enabled... % 0.20/0.39 # Local unification is enabled... % 0.20/0.39 # Any saturation attempts will use folding labels... % 0.20/0.39 # 86 beginning clauses after preprocessing and clausification % 0.20/0.39 # Creating start rules for all 8 conjectures. % 0.20/0.39 # There are 8 start rule candidates: % 0.20/0.39 # Found 27 unit axioms. % 0.20/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.20/0.39 # 8 start rule tableaux created. % 0.20/0.39 # 59 extension rule candidate clauses % 0.20/0.39 # 27 unit axiom clauses % 0.20/0.39 % 0.20/0.39 # Requested 8, 32 cores available to the main process. % 0.20/0.47 # Creating equality axioms % 0.20/0.47 # Ran out of tableaux, making start rules for all clauses % 0.20/0.47 # There were 1 total branch saturation attempts. % 0.20/0.47 # There were 0 of these attempts blocked. % 0.20/0.47 # There were 0 deferred branch saturation attempts. % 0.20/0.47 # There were 0 free duplicated saturations. % 0.20/0.47 # There were 1 total successful branch saturations. % 0.20/0.47 # There were 0 successful branch saturations in interreduction. % 0.20/0.47 # There were 0 successful branch saturations on the branch. % 0.20/0.47 # There were 1 successful branch saturations after the branch. % 0.20/0.47 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.47 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.47 # Begin clausification derivation % 0.20/0.47 % 0.20/0.47 # End clausification derivation % 0.20/0.47 # Begin listing active clauses obtained from FOF to CNF conversion % 0.20/0.47 cnf(i_0_86, negated_conjecture, (topological_space(esk8_0))). % 0.20/0.47 cnf(i_0_85, negated_conjecture, (top_str(esk8_0))). % 0.20/0.47 cnf(i_0_81, negated_conjecture, (in(esk10_0,esk9_0))). % 0.20/0.47 cnf(i_0_60, plain, (v1_membered(empty_set))). % 0.20/0.47 cnf(i_0_51, plain, (top_str(esk1_0))). % 0.20/0.47 cnf(i_0_82, negated_conjecture, (open_subset(esk9_0,esk8_0))). % 0.20/0.47 cnf(i_0_83, negated_conjecture, (element(esk10_0,the_carrier(esk8_0)))). % 0.20/0.47 cnf(i_0_84, negated_conjecture, (element(esk9_0,powerset(the_carrier(esk8_0))))). % 0.20/0.47 cnf(i_0_66, plain, (v1_membered(esk5_0))). % 0.20/0.47 cnf(i_0_59, plain, (v2_membered(empty_set))). % 0.20/0.47 cnf(i_0_65, plain, (v2_membered(esk5_0))). % 0.20/0.47 cnf(i_0_58, plain, (v3_membered(empty_set))). % 0.20/0.47 cnf(i_0_64, plain, (v3_membered(esk5_0))). % 0.20/0.47 cnf(i_0_57, plain, (v4_membered(empty_set))). % 0.20/0.47 cnf(i_0_63, plain, (v4_membered(esk5_0))). % 0.20/0.47 cnf(i_0_56, plain, (v5_membered(empty_set))). % 0.20/0.47 cnf(i_0_62, plain, (v5_membered(esk5_0))). % 0.20/0.47 cnf(i_0_61, plain, (empty(empty_set))). % 0.20/0.47 cnf(i_0_52, plain, (one_sorted_str(esk2_0))). % 0.20/0.47 cnf(i_0_70, plain, (empty(esk7_1(X1)))). % 0.20/0.47 cnf(i_0_72, plain, (subset(X1,X1))). % 0.20/0.47 cnf(i_0_54, plain, (element(esk4_1(X1),X1))). % 0.20/0.47 cnf(i_0_71, plain, (element(esk7_1(X1),powerset(X1)))). % 0.20/0.47 cnf(i_0_87, negated_conjecture, (~empty_carrier(esk8_0))). % 0.20/0.47 cnf(i_0_80, negated_conjecture, (~point_neighbourhood(esk9_0,esk8_0,esk10_0))). % 0.20/0.47 cnf(i_0_67, plain, (~empty(esk5_0))). % 0.20/0.47 cnf(i_0_55, plain, (~empty(powerset(X1)))). % 0.20/0.47 cnf(i_0_90, plain, (~empty(X1)|~in(X2,X1))). % 0.20/0.47 cnf(i_0_40, plain, (v1_membered(X1)|~v2_membered(X1))). % 0.20/0.47 cnf(i_0_21, plain, (v1_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_39, plain, (v2_membered(X1)|~v3_membered(X1))). % 0.20/0.47 cnf(i_0_20, plain, (v2_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_38, plain, (v3_membered(X1)|~v4_membered(X1))). % 0.20/0.47 cnf(i_0_19, plain, (v3_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_32, plain, (v4_membered(X1)|~v5_membered(X1))). % 0.20/0.47 cnf(i_0_18, plain, (v4_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_17, plain, (v5_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_46, plain, (one_sorted_str(X1)|~top_str(X1))). % 0.20/0.47 cnf(i_0_89, plain, (X1=empty_set|~empty(X1))). % 0.20/0.47 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.20/0.47 cnf(i_0_91, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.20/0.47 cnf(i_0_68, plain, (empty(X1)|~empty(esk6_1(X1)))). % 0.20/0.47 cnf(i_0_2, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v1_membered(X2))). % 0.20/0.47 cnf(i_0_4, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_7, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_73, plain, (element(X1,X2)|~in(X1,X2))). % 0.20/0.47 cnf(i_0_76, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_75, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.20/0.47 cnf(i_0_11, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_69, plain, (empty(X1)|element(esk6_1(X1),powerset(X1)))). % 0.20/0.47 cnf(i_0_16, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_3, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_6, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_10, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_14, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_5, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_8, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_12, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_9, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_13, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_15, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_74, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.20/0.47 cnf(i_0_22, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v1_membered(X2))). % 0.20/0.47 cnf(i_0_24, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_27, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_31, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_37,# There were 1 total branch saturation attempts. % 0.20/0.47 # There were 0 of these attempts blocked. % 0.20/0.47 # There were 0 deferred branch saturation attempts. % 0.20/0.47 # There were 0 free duplicated saturations. % 0.20/0.47 # There were 1 total successful branch saturations. % 0.20/0.47 # There were 0 successful branch saturations in interreduction. % 0.20/0.47 # There were 0 successful branch saturations on the branch. % 0.20/0.47 # There were 1 successful branch saturations after the branch. % 0.20/0.47 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.47 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.47 # Begin clausification derivation % 0.20/0.47 % 0.20/0.47 # End clausification derivation % 0.20/0.47 # Begin listing active clauses obtained from FOF to CNF conversion % 0.20/0.47 cnf(i_0_86, negated_conjecture, (topological_space(esk8_0))). % 0.20/0.47 cnf(i_0_85, negated_conjecture, (top_str(esk8_0))). % 0.20/0.47 cnf(i_0_81, negated_conjecture, (in(esk10_0,esk9_0))). % 0.20/0.47 cnf(i_0_60, plain, (v1_membered(empty_set))). % 0.20/0.47 cnf(i_0_51, plain, (top_str(esk1_0))). % 0.20/0.47 cnf(i_0_82, negated_conjecture, (open_subset(esk9_0,esk8_0))). % 0.20/0.47 cnf(i_0_83, negated_conjecture, (element(esk10_0,the_carrier(esk8_0)))). % 0.20/0.47 cnf(i_0_84, negated_conjecture, (element(esk9_0,powerset(the_carrier(esk8_0))))). % 0.20/0.47 cnf(i_0_66, plain, (v1_membered(esk5_0))). % 0.20/0.47 cnf(i_0_59, plain, (v2_membered(empty_set))). % 0.20/0.47 cnf(i_0_65, plain, (v2_membered(esk5_0))). % 0.20/0.47 cnf(i_0_58, plain, (v3_membered(empty_set))). % 0.20/0.47 cnf(i_0_64, plain, (v3_membered(esk5_0))). % 0.20/0.47 cnf(i_0_57, plain, (v4_membered(empty_set))). % 0.20/0.47 cnf(i_0_63, plain, (v4_membered(esk5_0))). % 0.20/0.47 cnf(i_0_56, plain, (v5_membered(empty_set))). % 0.20/0.47 cnf(i_0_62, plain, (v5_membered(esk5_0))). % 0.20/0.47 cnf(i_0_61, plain, (empty(empty_set))). % 0.20/0.47 cnf(i_0_52, plain, (one_sorted_str(esk2_0))). % 0.20/0.47 cnf(i_0_70, plain, (empty(esk7_1(X1)))). % 0.20/0.47 cnf(i_0_72, plain, (subset(X1,X1))). % 0.20/0.47 cnf(i_0_54, plain, (element(esk4_1(X1),X1))). % 0.20/0.47 cnf(i_0_71, plain, (element(esk7_1(X1),powerset(X1)))). % 0.20/0.47 cnf(i_0_87, negated_conjecture, (~empty_carrier(esk8_0))). % 0.20/0.47 cnf(i_0_80, negated_conjecture, (~point_neighbourhood(esk9_0,esk8_0,esk10_0))). % 0.20/0.47 cnf(i_0_67, plain, (~empty(esk5_0))). % 0.20/0.47 cnf(i_0_55, plain, (~empty(powerset(X1)))). % 0.20/0.47 cnf(i_0_90, plain, (~empty(X1)|~in(X2,X1))). % 0.20/0.47 cnf(i_0_40, plain, (v1_membered(X1)|~v2_membered(X1))). % 0.20/0.47 cnf(i_0_21, plain, (v1_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_39, plain, (v2_membered(X1)|~v3_membered(X1))). % 0.20/0.47 cnf(i_0_20, plain, (v2_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_38, plain, (v3_membered(X1)|~v4_membered(X1))). % 0.20/0.47 cnf(i_0_19, plain, (v3_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_32, plain, (v4_membered(X1)|~v5_membered(X1))). % 0.20/0.47 cnf(i_0_18, plain, (v4_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_17, plain, (v5_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_46, plain, (one_sorted_str(X1)|~top_str(X1))). % 0.20/0.47 cnf(i_0_89, plain, (X1=empty_set|~empty(X1))). % 0.20/0.47 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.20/0.47 cnf(i_0_91, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.20/0.47 cnf(i_0_68, plain, (empty(X1)|~empty(esk6_1(X1)))). % 0.20/0.47 cnf(i_0_2, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v1_membered(X2))). % 0.20/0.47 cnf(i_0_4, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_7, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_73, plain, (element(X1,X2)|~in(X1,X2))). % 0.20/0.47 cnf(i_0_76, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_75, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.20/0.47 cnf(i_0_11, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_69, plain, (empty(X1)|element(esk6_1(X1),powerset(X1)))). % 0.20/0.47 cnf(i_0_16, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_3, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_6, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_10, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_14, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_5, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_8, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_12, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_9, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_13, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_15, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_74, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.20/0.47 cnf(i_0_22, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v1_membered(X2))). % 0.20/0.47 cnf(i_0_24, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_27, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_31, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_37, plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_23, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_26, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_30, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_36, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_25, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_29, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_35, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_28, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_34, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_33, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_88, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 0.20/0.47 cnf(i_0_77, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.20/0.47 cnf(i_0_43, plain, (element(interior(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). % 0.20/0.47 cnf(i_0_48, plain, (empty_carrier(X1)|element(X2,powerset(the_carrier(X1)))|~point_neighbourhood(X2,X1,X3)|~top_str(X1)|~topological_space(X1)|~element(X3,the_carrier(X1)))). % 0.20/0.47 cnf(i_0_78, plain, (open_subset(X1,X2)|interior(X2,X1)!=X1|~top_str(X3)|~top_str(X2)|~topological_space(X2)|~element(X4,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X2))))). % 0.20/0.47 cnf(i_0_53, plain, (point_neighbourhood(esk3_2(X1,X2),X1,X2)|empty_carrier(X1)|~top_str(X1)|~topological_space(X1)|~element(X2,the_carrier(X1)))). % 0.20/0.47 cnf(i_0_79, plain, (interior(X1,X2)=X2|~open_subset(X2,X1)|~top_str(X3)|~top_str(X1)|~topological_space(X3)|~element(X4,powerset(the_carrier(X3)))|~element(X2,powerset(the_carrier(X1))))). % 0.20/0.47 cnf(i_0_41, plain, (point_neighbourhood(X1,X2,X3)|empty_carrier(X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,the_carrier(X2))|~in(X3,interior(X2,X1)))). % 0.20/0.47 cnf(i_0_42, plain, (empty_carrier(X1)|in(X2,interior(X1,X3))|~point_neighbourhood(X3,X1,X2)|~top_str(X1)|~topological_space(X1)|~element(X2,the_carrier(X1)))). % 0.20/0.47 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.20/0.47 # Begin printing tableau % 0.20/0.47 # Found 4 steps % 0.20/0.47 cnf(i_0_81, negated_conjecture, (in(esk10_0,esk9_0)), inference(start_rule)). % 0.20/0.47 cnf(i_0_97, plain, (in(esk10_0,esk9_0)), inference(extension_rule, [i_0_90])). % 0.20/0.47 cnf(i_0_100, plain, (~empty(esk9_0)), inference(extension_rule, [i_0_68])). % 0.20/0.47 cnf(i_0_130, plain, (~empty(esk6_1(esk9_0))), inference(etableau_closure_rule, [i_0_130, ...])). % 0.20/0.47 # End printing tableau % 0.20/0.47 # SZS output end % 0.20/0.47 # Branches closed with saturation will be marked with an "s" % 0.20/0.47 plain, (v1_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_23, plain, (v2_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_26, plain, (v2_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_30, plain, (v2_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_36, plain, (v2_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_25, plain, (v3_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_29, plain, (v3_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_35, plain, (v3_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_28, plain, (v4_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_34, plain, (v4_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_33, plain, (v5_membered(X1)|~v5_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_88, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 0.20/0.47 cnf(i_0_77, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.20/0.47 cnf(i_0_43, plain, (element(interior(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1))))). % 0.20/0.47 cnf(i_0_48, plain, (empty_carrier(X1)|element(X2,powerset(the_carrier(X1)))|~point_neighbourhood(X2,X1,X3)|~top_str(X1)|~topological_space(X1)|~element(X3,the_carrier(X1)))). % 0.20/0.47 cnf(i_0_78, plain, (open_subset(X1,X2)|interior(X2,X1)!=X1|~top_str(X3)|~top_str(X2)|~topological_space(X2)|~element(X4,powerset(the_carrier(X3)))|~element(X1,powerset(the_carrier(X2))))). % 0.20/0.47 cnf(i_0_53, plain, (point_neighbourhood(esk3_2(X1,X2),X1,X2)|empty_carrier(X1)|~top_str(X1)|~topological_space(X1)|~element(X2,the_carrier(X1)))). % 0.20/0.47 cnf(i_0_79, plain, (interior(X1,X2)=X2|~open_subset(X2,X1)|~top_str(X3)|~top_str(X1)|~topological_space(X3)|~element(X4,powerset(the_carrier(X3)))|~element(X2,powerset(the_carrier(X1))))). % 0.20/0.47 cnf(i_0_41, plain, (point_neighbourhood(X1,X2,X3)|empty_carrier(X2)|~top_str(X2)|~topological_space(X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,the_carrier(X2))|~in(X3,interior(X2,X1)))). % 0.20/0.47 cnf(i_0_42, plain, (empty_carrier(X1)|in(X2,interior(X1,X3))|~point_neighbourhood(X3,X1,X2)|~top_str(X1)|~topological_space(X1)|~element(X2,the_carrier(X1)))). % 0.20/0.47 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.20/0.47 # Begin printing tableau % 0.20/0.47 # Found 5 steps % 0.20/0.47 cnf(i_0_84, negated_conjecture, (element(esk9_0,powerset(the_carrier(esk8_0)))), inference(start_rule)). % 0.20/0.47 cnf(i_0_94, plain, (element(esk9_0,powerset(the_carrier(esk8_0)))), inference(extension_rule, [i_0_74])). % 0.20/0.47 cnf(i_0_3616, plain, (empty(powerset(the_carrier(esk8_0)))), inference(closure_rule, [i_0_55])). % 0.20/0.47 cnf(i_0_3617, plain, (in(esk9_0,powerset(the_carrier(esk8_0)))), inference(extension_rule, [i_0_1])). % 0.20/0.47 cnf(i_0_3644, plain, (~in(powerset(the_carrier(esk8_0)),esk9_0)), inference(etableau_closure_rule, [i_0_3644, ...])). % 0.20/0.47 # End printing tableau % 0.20/0.47 # SZS output end % 0.20/0.47 # Branches closed with saturation will be marked with an "s" % 0.20/0.47 # There were 2 total branch saturation attempts. % 0.20/0.47 # There were 0 of these attempts blocked. % 0.20/0.47 # There were 0 deferred branch saturation attempts. % 0.20/0.47 # There were 0 free duplicated saturations. % 0.20/0.47 # There were 2 total successful branch saturations. % 0.20/0.47 # There were 0 successful branch saturations in interreduction. % 0.20/0.47 # There were 0 successful branch saturations on the branch. % 0.20/0.47 # There were 2 successful branch saturations after the branch. % 0.20/0.47 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.47 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.47 # Begin clausification derivation % 0.20/0.47 % 0.20/0.47 # End clausification derivation % 0.20/0.47 # Begin listing active clauses obtained from FOF to CNF conversion % 0.20/0.47 cnf(i_0_86, negated_conjecture, (topological_space(esk8_0))). % 0.20/0.47 cnf(i_0_85, negated_conjecture, (top_str(esk8_0))). % 0.20/0.47 cnf(i_0_81, negated_conjecture, (in(esk10_0,esk9_0))). % 0.20/0.47 cnf(i_0_60, plain, (v1_membered(empty_set))). % 0.20/0.47 cnf(i_0_51, plain, (top_str(esk1_0))). % 0.20/0.47 cnf(i_0_82, negated_conjecture, (open_subset(esk9_0,esk8_0))). % 0.20/0.47 cnf(i_0_83, negated_conjecture, (element(esk10_0,the_carrier(esk8_0)))). % 0.20/0.47 cnf(i_0_84, negated_conjecture, (element(esk9_0,powerset(the_carrier(esk8_0))))). % 0.20/0.47 cnf(i_0_66, plain, (v1_membered(esk5_0))). % 0.20/0.47 cnf(i_0_59, plain, (v2_membered(empty_set))). % 0.20/0.47 cnf(i_0_65, plain, (v2_membered(esk5_0))). % 0.20/0.47 cnf(i_0_58, plain, (v3_membered(empty_set))). % 0.20/0.47 cnf(i_0_64, plain, (v3_membered(esk5_0))). % 0.20/0.47 cnf(i_0_57, plain, (v4_membered(empty_set))). % 0.20/0.47 cnf(i_0_63, plain, (v4_membered(esk5_0))). % 0.20/0.47 cnf(i_0_56, plain, (v5_membered(empty_set))). % 0.20/0.47 cnf(i_0_62, plain, (v5_membered(esk5_0))). % 0.20/0.47 cnf(i_0_61, plain, (empty(empty_set))). % 0.20/0.47 cnf(i_0_52, plain, (one_sorted_str(esk2_0))). % 0.20/0.47 cnf(i_0_70, plain, (empty(esk7_1(X1)))). % 0.20/0.47 cnf(i_0_72, plain, (subset(X1,X1))). % 0.20/0.47 cnf(i_0_54, plain, (element(esk4_1(X1),X1))). % 0.20/0.47 cnf(i_0_71, plain, (element(esk7_1(X1),powerset(X1)))). % 0.20/0.47 cnf(i_0_87, negated_conjecture, (~empty_carrier(esk8_0))). % 0.20/0.47 cnf(i_0_80, negated_conjecture, (~point_neighbourhood(esk9_0,esk8_0,esk10_0))). % 0.20/0.47 cnf(i_0_67, plain, (~empty(esk5_0))). % 0.20/0.47 cnf(i_0_55, plain, (~empty(powerset(X1)))). % 0.20/0.47 cnf(i_0_90, plain, (~empty(X1)|~in(X2,X1))). % 0.20/0.47 cnf(i_0_40, plain, (v1_membered(X1)|~v2_membered(X1))). % 0.20/0.47 cnf(i_0_21, plain, (v1_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_39, plain, (v2_membered(X1)|~v3_membered(X1))). % 0.20/0.47 cnf(i_0_20, plain, (v2_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_38, plain, (v3_membered(X1)|~v4_membered(X1))). % 0.20/0.47 cnf(i_0_19, plain, (v3_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_32, plain, (v4_membered(X1)|~v5_membered(X1))). % 0.20/0.47 cnf(i_0_18, plain, (v4_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_17, plain, (v5_membered(X1)|~empty(X1))). % 0.20/0.47 cnf(i_0_46, plain, (one_sorted_str(X1)|~top_str(X1))). % 0.20/0.47 cnf(i_0_89, plain, (X1=empty_set|~empty(X1))). % 0.20/0.47 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.20/0.47 cnf(i_0_91, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.20/0.47 cnf(i_0_68, plain, (empty(X1)|~empty(esk6_1(X1)))). % 0.20/0.47 cnf(i_0_2, plain, (v1_xcmplx_0(X1)|~element(X1,X2)|~v1_membered(X2))). % 0.20/0.47 cnf(i_0_4, plain, (v1_xcmplx_0(X1)|~v2_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_7, plain, (v1_xcmplx_0(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_73, plain, (element(X1,X2)|~in(X1,X2))). % 0.20/0.47 cnf(i_0_76, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_75, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.20/0.47 cnf(i_0_11, plain, (v1_xcmplx_0(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_69, plain, (empty(X1)|element(esk6_1(X1),powerset(X1)))). % 0.20/0.47 cnf(i_0_16, plain, (v1_xcmplx_0(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_3, plain, (v1_xreal_0(X1)|~v2_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_6, plain, (v1_xreal_0(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_10, plain, (v1_xreal_0(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_14, plain, (v1_xreal_0(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_5, plain, (v1_rat_1(X1)|~v3_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_8, plain, (v1_rat_1(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_12, plain, (v1_rat_1(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_9, plain, (v1_int_1(X1)|~v4_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_13, plain, (v1_int_1(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_15, plain, (natural(X1)|~v5_membered(X2)|~element(X1,X2))). % 0.20/0.47 cnf(i_0_74, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.20/0.47 cnf(i_0_22, plain, (v1_membered(X1)|~element(X1,powerset(X2))|~v1_membered(X2))). % 0.20/0.47 cnf(i_0_24, plain, (v1_membered(X1)|~v2_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_27, plain, (v1_membered(X1)|~v3_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_31, plain, (v1_membered(X1)|~v4_membered(X2)|~element(X1,powerset(X2)))). % 0.20/0.47 cnf(i_0_37,# Child (946) has found a proof. % 0.20/0.47 % 0.20/0.47 # Proof search is over... % 0.20/0.47 # Freeing feature tree %------------------------------------------------------------------------------