%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU268+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 : n027.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 09:25:22 EDT 2022 % Result : Theorem 0.12s 0.41s % Output : CNFRefutation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU268+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.12/0.33 % Computer : n027.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jun 19 04:50:38 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.38 # No SInE strategy applied % 0.12/0.38 # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.12/0.38 # and selection function SelectComplexExceptUniqMaxHorn. % 0.12/0.38 # % 0.12/0.38 # Presaturation interreduction done % 0.12/0.38 # Number of axioms: 78 Number of unprocessed: 77 % 0.12/0.38 # Tableaux proof search. % 0.12/0.38 # APR header successfully linked. % 0.12/0.38 # Hello from C++ % 0.12/0.39 # The folding up rule is enabled... % 0.12/0.39 # Local unification is enabled... % 0.12/0.39 # Any saturation attempts will use folding labels... % 0.12/0.39 # 77 beginning clauses after preprocessing and clausification % 0.12/0.39 # Creating start rules for all 1 conjectures. % 0.12/0.39 # There are 1 start rule candidates: % 0.12/0.39 # Found 45 unit axioms. % 0.12/0.39 # 1 start rule tableaux created. % 0.12/0.39 # 32 extension rule candidate clauses % 0.12/0.39 # 45 unit axiom clauses % 0.12/0.39 % 0.12/0.39 # Requested 8, 32 cores available to the main process. % 0.12/0.39 # There are not enough tableaux to fork, creating more from the initial 1 % 0.12/0.39 # Creating equality axioms % 0.12/0.39 # Ran out of tableaux, making start rules for all clauses % 0.12/0.39 # Returning from population with 88 new_tableaux and 0 remaining starting tableaux. % 0.12/0.39 # We now have 88 tableaux to operate on % 0.12/0.40 # There were 1 total branch saturation attempts. % 0.12/0.40 # There were 0 of these attempts blocked. % 0.12/0.40 # There were 0 deferred branch saturation attempts. % 0.12/0.40 # There were 0 free duplicated saturations. % 0.12/0.40 # There were 1 total successful branch saturations. % 0.12/0.40 # There were 0 successful branch saturations in interreduction. % 0.12/0.40 # There were 0 successful branch saturations on the branch. % 0.12/0.40 # There were 1 successful branch saturations after the branch. % 0.12/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # Begin clausification derivation % 0.12/0.41 % 0.12/0.41 # End clausification derivation % 0.12/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set))). % 0.12/0.41 cnf(i_0_58, plain, (empty(esk7_0))). % 0.12/0.41 cnf(i_0_60, plain, (empty(esk8_0))). % 0.12/0.41 cnf(i_0_65, plain, (empty(esk9_0))). % 0.12/0.41 cnf(i_0_47, plain, (function(empty_set))). % 0.12/0.41 cnf(i_0_53, plain, (function(esk5_0))). % 0.12/0.41 cnf(i_0_59, plain, (function(esk8_0))). % 0.12/0.41 cnf(i_0_67, plain, (function(esk9_0))). % 0.12/0.41 cnf(i_0_71, plain, (function(esk11_0))). % 0.12/0.41 cnf(i_0_77, plain, (function(esk13_0))). % 0.12/0.41 cnf(i_0_42, plain, (ordinal(empty_set))). % 0.12/0.41 cnf(i_0_55, plain, (ordinal(esk6_0))). % 0.12/0.41 cnf(i_0_62, plain, (ordinal(esk9_0))). % 0.12/0.41 cnf(i_0_73, plain, (ordinal(esk12_0))). % 0.12/0.41 cnf(i_0_44, plain, (epsilon_transitive(empty_set))). % 0.12/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk6_0))). % 0.12/0.41 cnf(i_0_64, plain, (epsilon_transitive(esk9_0))). % 0.12/0.41 cnf(i_0_75, plain, (epsilon_transitive(esk12_0))). % 0.12/0.41 cnf(i_0_43, plain, (epsilon_connected(empty_set))). % 0.12/0.41 cnf(i_0_56, plain, (epsilon_connected(esk6_0))). % 0.12/0.41 cnf(i_0_63, plain, (epsilon_connected(esk9_0))). % 0.12/0.41 cnf(i_0_74, plain, (epsilon_connected(esk12_0))). % 0.12/0.41 cnf(i_0_49, plain, (relation(empty_set))). % 0.12/0.41 cnf(i_0_54, plain, (relation(esk5_0))). % 0.12/0.41 cnf(i_0_61, plain, (relation(esk8_0))). % 0.12/0.41 cnf(i_0_68, plain, (relation(esk9_0))). % 0.12/0.41 cnf(i_0_72, plain, (relation(esk11_0))). % 0.12/0.41 cnf(i_0_79, plain, (relation(esk13_0))). % 0.12/0.41 cnf(i_0_46, plain, (one_to_one(empty_set))). % 0.12/0.41 cnf(i_0_66, plain, (one_to_one(esk9_0))). % 0.12/0.41 cnf(i_0_70, plain, (one_to_one(esk11_0))). % 0.12/0.41 cnf(i_0_48, plain, (relation_empty_yielding(empty_set))). % 0.12/0.41 cnf(i_0_78, plain, (relation_empty_yielding(esk13_0))). % 0.12/0.41 cnf(i_0_30, plain, (relation(inclusion_relation(X1)))). % 0.12/0.41 cnf(i_0_80, plain, (subset(X1,X1))). % 0.12/0.41 cnf(i_0_81, plain, (set_union2(X1,empty_set)=X1)). % 0.12/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.12/0.41 cnf(i_0_39, plain, (element(esk4_1(X1),X1))). % 0.12/0.41 cnf(i_0_23, plain, (relation_field(inclusion_relation(X1))=X1)). % 0.12/0.41 cnf(i_0_12, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.12/0.41 cnf(i_0_13, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.12/0.41 cnf(i_0_84, negated_conjecture, (~reflexive(inclusion_relation(esk14_0)))). % 0.12/0.41 cnf(i_0_69, plain, (~empty(esk10_0))). % 0.12/0.41 cnf(i_0_76, plain, (~empty(esk12_0))). % 0.12/0.41 cnf(i_0_41, plain, (~empty(unordered_pair(singleton(X1),unordered_pair(X1,X2))))). % 0.12/0.41 cnf(i_0_90, plain, (~empty(X1)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_89, plain, (X1=empty_set|~empty(X1))). % 0.12/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_9, plain, (ordinal(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_11, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_10, plain, (epsilon_connected(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_91, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.12/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_8, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.12/0.41 cnf(i_0_82, plain, (element(X1,X2)|~in(X1,X2))). % 0.12/0.41 cnf(i_0_51, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.12/0.41 cnf(i_0_50, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.12/0.41 cnf(i_0_26, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_86, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.12/0.41 cnf(i_0_5, plain, (one_to_one(X1)|~relation(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_88, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.12/0.41 cnf(i_0_85, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.12/0.41 cnf(i_0_83, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.12/0.41 cnf(i_0_27, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_25, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_87, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.12/0.41 cnf(i_0_15, plain, (is_reflexive_in(X1,X2)|in(esk1_2(X1,X2),X2)|~relation(X1))). % 0.12/0.41 cnf(i_0_14, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X1))). % 0.12/0.41 cnf(i_0_20, plain, (inclusion_relati# There were 1 total branch saturation attempts. % 0.12/0.41 # There were 0 of these attempts blocked. % 0.12/0.41 # There were 0 deferred branch saturation attempts. % 0.12/0.41 # There were 0 free duplicated saturations. % 0.12/0.41 # There were 1 total successful branch saturations. % 0.12/0.41 # There were 0 successful branch saturations in interreduction. % 0.12/0.41 # There were 0 successful branch saturations on the branch. % 0.12/0.41 # There were 1 successful branch saturations after the branch. % 0.12/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # Begin clausification derivation % 0.12/0.41 % 0.12/0.41 # End clausification derivation % 0.12/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set))). % 0.12/0.41 cnf(i_0_58, plain, (empty(esk7_0))). % 0.12/0.41 cnf(i_0_60, plain, (empty(esk8_0))). % 0.12/0.41 cnf(i_0_65, plain, (empty(esk9_0))). % 0.12/0.41 cnf(i_0_47, plain, (function(empty_set))). % 0.12/0.41 cnf(i_0_53, plain, (function(esk5_0))). % 0.12/0.41 cnf(i_0_59, plain, (function(esk8_0))). % 0.12/0.41 cnf(i_0_67, plain, (function(esk9_0))). % 0.12/0.41 cnf(i_0_71, plain, (function(esk11_0))). % 0.12/0.41 cnf(i_0_77, plain, (function(esk13_0))). % 0.12/0.41 cnf(i_0_42, plain, (ordinal(empty_set))). % 0.12/0.41 cnf(i_0_55, plain, (ordinal(esk6_0))). % 0.12/0.41 cnf(i_0_62, plain, (ordinal(esk9_0))). % 0.12/0.41 cnf(i_0_73, plain, (ordinal(esk12_0))). % 0.12/0.41 cnf(i_0_44, plain, (epsilon_transitive(empty_set))). % 0.12/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk6_0))). % 0.12/0.41 cnf(i_0_64, plain, (epsilon_transitive(esk9_0))). % 0.12/0.41 cnf(i_0_75, plain, (epsilon_transitive(esk12_0))). % 0.12/0.41 cnf(i_0_43, plain, (epsilon_connected(empty_set))). % 0.12/0.41 cnf(i_0_56, plain, (epsilon_connected(esk6_0))). % 0.12/0.41 cnf(i_0_63, plain, (epsilon_connected(esk9_0))). % 0.12/0.41 cnf(i_0_74, plain, (epsilon_connected(esk12_0))). % 0.12/0.41 cnf(i_0_49, plain, (relation(empty_set))). % 0.12/0.41 cnf(i_0_54, plain, (relation(esk5_0))). % 0.12/0.41 cnf(i_0_61, plain, (relation(esk8_0))). % 0.12/0.41 cnf(i_0_68, plain, (relation(esk9_0))). % 0.12/0.41 cnf(i_0_72, plain, (relation(esk11_0))). % 0.12/0.41 cnf(i_0_79, plain, (relation(esk13_0))). % 0.12/0.41 cnf(i_0_46, plain, (one_to_one(empty_set))). % 0.12/0.41 cnf(i_0_66, plain, (one_to_one(esk9_0))). % 0.12/0.41 cnf(i_0_70, plain, (one_to_one(esk11_0))). % 0.12/0.41 cnf(i_0_48, plain, (relation_empty_yielding(empty_set))). % 0.12/0.41 cnf(i_0_78, plain, (relation_empty_yielding(esk13_0))). % 0.12/0.41 cnf(i_0_30, plain, (relation(inclusion_relation(X1)))). % 0.12/0.41 cnf(i_0_80, plain, (subset(X1,X1))). % 0.12/0.41 cnf(i_0_81, plain, (set_union2(X1,empty_set)=X1)). % 0.12/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.12/0.41 cnf(i_0_39, plain, (element(esk4_1(X1),X1))). % 0.12/0.41 cnf(i_0_23, plain, (relation_field(inclusion_relation(X1))=X1)). % 0.12/0.41 cnf(i_0_12, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.12/0.41 cnf(i_0_13, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.12/0.41 cnf(i_0_84, negated_conjecture, (~reflexive(inclusion_relation(esk14_0)))). % 0.12/0.41 cnf(i_0_69, plain, (~empty(esk10_0))). % 0.12/0.41 cnf(i_0_76, plain, (~empty(esk12_0))). % 0.12/0.41 cnf(i_0_41, plain, (~empty(unordered_pair(singleton(X1),unordered_pair(X1,X2))))). % 0.12/0.41 cnf(i_0_90, plain, (~empty(X1)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_89, plain, (X1=empty_set|~empty(X1))). % 0.12/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_9, plain, (ordinal(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_11, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_10, plain, (epsilon_connected(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_91, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.12/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_8, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.12/0.41 cnf(i_0_82, plain, (element(X1,X2)|~in(X1,X2))). % 0.12/0.41 cnf(i_0_51, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.12/0.41 cnf(i_0_50, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.12/0.41 cnf(i_0_26, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_86, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.12/0.41 cnf(i_0_5, plain, (one_to_one(X1)|~relation(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_88, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.12/0.41 cnf(i_0_85, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.12/0.41 cnf(i_0_83, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.12/0.41 cnf(i_0_27, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_25, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_87, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.12/0.41 cnf(i_0_15, plain, (is_reflexive_in(X1,X2)|in(esk1_2(X1,X2),X2)|~relation(X1))). % 0.12/0.41 cnf(i_0_14, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X1))). % 0.12/0.41 cnf(i_0_20, plain, (inclusion_relation(relation_field(X1))=X1|in(esk2_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_19, plain, (inclusion_relation(relation_field(X1))=X1|in(esk3_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_16, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_22, plain, (subset(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_21, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_18, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(singleton(esk2_2(relation_field(X1),X1)),unordered_pair(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))),X1))). % 0.12/0.41 cnf(i_0_17, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))|in(unordered_pair(singleton(esk2_2(relation_field(X1),X1)),unordered_pair(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))),X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_272, plain, (X70=X70)). % 0.12/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.41 # Begin printing tableau % 0.12/0.41 # Found 6 steps % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set)), inference(start_rule)). % 0.12/0.41 cnf(i_0_297, plain, (empty(empty_set)), inference(extension_rule, [i_0_91])). % 0.12/0.41 cnf(i_0_447, plain, (~empty(empty_set)), inference(closure_rule, [i_0_40])). % 0.12/0.41 cnf(i_0_445, plain, (empty_set=empty_set), inference(extension_rule, [i_0_275])). % 0.12/0.41 cnf(i_0_675, plain, (empty_set!=set_union2(empty_set,empty_set)), inference(closure_rule, [i_0_81])). % 0.12/0.41 cnf(i_0_673, plain, (empty_set=set_union2(empty_set,empty_set)), inference(etableau_closure_rule, [i_0_673, ...])). % 0.12/0.41 # End printing tableau % 0.12/0.41 # SZS output end % 0.12/0.41 # Branches closed with saturation will be marked with an "s" % 0.12/0.41 # There were 1 total branch saturation attempts. % 0.12/0.41 # There were 0 of these attempts blocked. % 0.12/0.41 # There were 0 deferred branch saturation attempts. % 0.12/0.41 # There were 0 free duplicated saturations. % 0.12/0.41 # There were 1 total successful branch saturations. % 0.12/0.41 # There were 0 successful branch saturations in interreduction. % 0.12/0.41 # There were 0 successful branch saturations on the branch. % 0.12/0.41 # There were 1 successful branch saturations after the branch. % 0.12/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # Begin clausification derivation % 0.12/0.41 % 0.12/0.41 # End clausification derivation % 0.12/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set))). % 0.12/0.41 cnf(i_0_58, plain, (empty(esk7_0))). % 0.12/0.41 cnf(i_0_60, plain, (empty(esk8_0))). % 0.12/0.41 cnf(i_0_65, plain, (empty(esk9_0))). % 0.12/0.41 cnf(i_0_47, plain, (function(empty_set))). % 0.12/0.41 cnf(i_0_53, plain, (function(esk5_0))). % 0.12/0.41 cnf(i_0_59, plain, (function(esk8_0))). % 0.12/0.41 cnf(i_0_67, plain, (function(esk9_0))). % 0.12/0.41 cnf(i_0_71, plain, (function(esk11_0))). % 0.12/0.41 cnf(i_0_77, plain, (function(esk13_0))). % 0.12/0.41 cnf(i_0_42, plain, (ordinal(empty_set))). % 0.12/0.41 cnf(i_0_55, plain, (ordinal(esk6_0))). % 0.12/0.41 cnf(i_0_62, plain, (ordinal(esk9_0))). % 0.12/0.41 cnf(i_0_73, plain, (ordinal(esk12_0))). % 0.12/0.41 cnf(i_0_44, plain, (epsilon_transitive(empty_set))). % 0.12/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk6_0))). % 0.12/0.41 cnf(i_0_64, plain, (epsilon_transitive(esk9_0))). % 0.12/0.41 cnf(i_0_75, plain, (epsilon_transitive(esk12_0))). % 0.12/0.41 cnf(i_0_43, plain, (epsilon_connected(empty_set))). % 0.12/0.41 cnf(i_0_56, plain, (epsilon_connected(esk6_0))). % 0.12/0.41 cnf(i_0_63, plain, (epsilon_connected(esk9_0))). % 0.12/0.41 cnf(i_0_74, plain, (epsilon_connected(esk12_0))). % 0.12/0.41 cnf(i_0_49, plain, (relation(empty_set))). % 0.12/0.41 cnf(i_0_54, plain, (relation(esk5_0))). % 0.12/0.41 cnf(i_0_61, plain, (relation(esk8_0))). % 0.12/0.41 cnf(i_0_68, plain, (relation(esk9_0))). % 0.12/0.41 cnf(i_0_72, plain, (relation(esk11_0))). % 0.12/0.41 cnf(i_0_79, plain, (relation(esk13_0))). % 0.12/0.41 cnf(i_0_46, plain, (one_to_one(empty_set))). % 0.12/0.41 cnf(i_0_66, plain, (one_to_one(esk9_0))). % 0.12/0.41 cnf(i_0_70, plain, (one_to_one(esk11_0))). % 0.12/0.41 cnf(i_0_48, plain, (relation_empty_yielding(empty_set))). % 0.12/0.41 cnf(i_0_78, plain, (relation_empty_yielding(esk13_0))). % 0.12/0.41 cnf(i_0_30, plain, (relation(inclusion_relation(X1)))). % 0.12/0.41 cnf(i_0_80, plain, (subset(X1,X1))). % 0.12/0.41 cnf(i_0_81, plain, (set_union2(X1,empty_set)=X1)). % 0.12/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.12/0.41 cnf(i_0_39, plain, (element(esk4_1(X1),X1))). % 0.12/0.41 cnf(i_0_23, plain, (relation_field(inclusion_relation(X1))=X1)). % 0.12/0.41 cnf(i_0_12, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.12/0.41 cnf(i_0_13, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.12/0.41 cnf(i_0_84, negated_conjecture, (~reflexive(inclusion_relation(esk14_0)))). % 0.12/0.41 cnf(i_0_69, plain, (~empty(esk10_0))). % 0.12/0.41 cnf(i_0_76, plain, (~empty(esk12_0))). % 0.12/0.41 cnf(i_0_41, plain, (~empty(unordered_pair(singleton(X1),unordered_pair(X1,X2))))). % 0.12/0.41 cnf(i_0_90, plain, (~empty(X1)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_89, plain, (X1=empty_set|~empty(X1))). % 0.12/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_9, plain, (ordinal(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_11, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_10, plain, (epsilon_connected(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_91, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.12/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_8, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.12/0.41 cnf(i_0_82, plain, (element(X1,X2)|~in(X1,X2))). % 0.12/0.41 cnf(i_0_51, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.12/0.41 cnf(i_0_50, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.12/0.41 cnf(i_0_26, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_86, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.12/0.41 cnf(i_0_5, plain, (one_to_one(X1)|~relation(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_88, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.12/0.41 cnf(i_0_85, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.12/0.41 cnf(i_0_83, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.12/0.41 cnf(i_0_27, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_25, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_87, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.12/0.41 cnf(i_0_15, plain, (is_reflexive_in(X1,X2)|in(esk1_2(X1,X2),X2)|~relation(X1))). % 0.12/0.41 cnf(i_0_14, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X1))). % 0.12/0.41 cnf(i_0_20, plain, (inclusion_relation(relation_field(X1))=X1|in(esk2_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_19, plain, (inclusion_relation(relation_field(X1))=X1|in(esk3_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_16, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_22, plain, (subset(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_21, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_18, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(singleton(esk2_2(relation_field(X1),X1)),unordered_pair(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))),X1))). % 0.12/0.41 cnf(i_0_17, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))|in(unordered_pair(singleton(esk2_2(relation_field(X1),X1)),unordered_pair(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))),X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_272, plain, (X70=X70)). % 0.12/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.41 # Begin printing tableau % 0.12/0.41 # Found 5 steps % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set)), inference(start_rule)). % 0.12/0.41 cnf(i_0_297, plain, (empty(empty_set)), inference(extension_rule, [i_0_10])). % 0.12/0.41 cnf(i_0_441, plain, (epsilon_connected(empty_set)), inference(extension_rule, [i_0_8])). % 0.12/0.41 cnf(i_0_606, plain, (~epsilon_transitive(empty_set)), inference(closure_rule, [i_0_44])). % 0.12/0.41 cnf(i_0_604, plain, (ordinal(empty_set)), inference(etableau_closure_rule, [i_0_604, ...])). % 0.12/0.41 # End printing tableau % 0.12/0.41 # SZS output end % 0.12/0.41 # Branches closed with saturation will be marked with an "s" % 0.12/0.41 # There were 1 total branch saturation attempts. % 0.12/0.41 # There were 0 of these attempts blocked. % 0.12/0.41 # There were 0 deferred branch saturation attempts. % 0.12/0.41 # There were 0 free duplicated saturations. % 0.12/0.41 # There were 1 total successful branch saturations. % 0.12/0.41 # There were 0 successful branch saturations in interreduction. % 0.12/0.41 # There were 0 successful branch saturations on the branch. % 0.12/0.41 # There were 1 successful branch saturations after the branch. % 0.12/0.41 # There were 1 total branch saturation attempts. % 0.12/0.41 # There were 0 of these attempts blocked. % 0.12/0.41 # There were 0 deferred branch saturation attempts. % 0.12/0.41 # There were 0 free duplicated saturations. % 0.12/0.41 # There were 1 total successful branch saturations. % 0.12/0.41 # There were 0 successful branch saturations in interreduction. % 0.12/0.41 # There were 0 successful branch saturations on the branch. % 0.12/0.41 # There were 1 successful branch saturations after the branch. % 0.12/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # Begin clausification derivation % 0.12/0.41 % 0.12/0.41 # End clausification derivation % 0.12/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set))). % 0.12/0.41 cnf(i_0_58, plain, (empty(esk7_0))). % 0.12/0.41 cnf(i_0_60, plain, (empty(esk8_0))). % 0.12/0.41 cnf(i_0_65, plain, (empty(esk9_0))). % 0.12/0.41 cnf(i_0_47, plain, (function(empty_set))). % 0.12/0.41 cnf(i_0_53, plain, (function(esk5_0))). % 0.12/0.41 cnf(i_0_59, plain, (function(esk8_0))). % 0.12/0.41 cnf(i_0_67, plain, (function(esk9_0))). % 0.12/0.41 cnf(i_0_71, plain, (function(esk11_0))). % 0.12/0.41 cnf(i_0_77, plain, (function(esk13_0))). % 0.12/0.41 cnf(i_0_42, plain, (ordinal(empty_set))). % 0.12/0.41 cnf(i_0_55, plain, (ordinal(esk6_0))). % 0.12/0.41 cnf(i_0_62, plain, (ordinal(esk9_0))). % 0.12/0.41 cnf(i_0_73, plain, (ordinal(esk12_0))). % 0.12/0.41 cnf(i_0_44, plain, (epsilon_transitive(empty_set))). % 0.12/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk6_0))). % 0.12/0.41 cnf(i_0_64, plain, (epsilon_transitive(esk9_0))). % 0.12/0.41 cnf(i_0_75, plain, (epsilon_transitive(esk12_0))). % 0.12/0.41 cnf(i_0_43, plain, (epsilon_connected(empty_set))). % 0.12/0.41 cnf(i_0_56, plain, (epsilon_connected(esk6_0))). % 0.12/0.41 cnf(i_0_63, plain, (epsilon_connected(esk9_0))). % 0.12/0.41 cnf(i_0_74, plain, (epsilon_connected(esk12_0))). % 0.12/0.41 cnf(i_0_49, plain, (relation(empty_set))). % 0.12/0.41 cnf(i_0_54, plain, (relation(esk5_0))). % 0.12/0.41 cnf(i_0_61, plain, (relation(esk8_0))). % 0.12/0.41 cnf(i_0_68, plain, (relation(esk9_0))). % 0.12/0.41 cnf(i_0_72, plain, (relation(esk11_0))). % 0.12/0.41 cnf(i_0_79, plain, (relation(esk13_0))). % 0.12/0.41 cnf(i_0_46, plain, (one_to_one(empty_set))). % 0.12/0.41 cnf(i_0_66, plain, (one_to_one(esk9_0))). % 0.12/0.41 cnf(i_0_70, plain, (one_to_one(esk11_0))). % 0.12/0.41 cnf(i_0_48, plain, (relation_empty_yielding(empty_set))). % 0.12/0.41 cnf(i_0_78, plain, (relation_empty_yielding(esk13_0))). % 0.12/0.41 cnf(i_0_30, plain, (relation(inclusion_relation(X1)))). % 0.12/0.41 cnf(i_0_80, plain, (subset(X1,X1))). % 0.12/0.41 cnf(i_0_81, plain, (set_union2(X1,empty_set)=X1)). % 0.12/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.12/0.41 cnf(i_0_39, plain, (element(esk4_1(X1),X1))). % 0.12/0.41 cnf(i_0_23, plain, (relation_field(inclusion_relation(X1))=X1)). % 0.12/0.41 cnf(i_0_12, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.12/0.41 cnf(i_0_13, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.12/0.41 cnf(i_0_84, negated_conjecture, (~reflexive(inclusion_relation(esk14_0)))). % 0.12/0.41 cnf(i_0_69, plain, (~empty(esk10_0))). % 0.12/0.41 cnf(i_0_76, plain, (~empty(esk12_0))). % 0.12/0.41 cnf(i_0_41, plain, (~empty(unordered_pair(singleton(X1),unordered_pair(X1,X2))))). % 0.12/0.41 cnf(i_0_90, plain, (~empty(X1)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_89, plain, (X1=empty_set|~empty(X1))). % 0.12/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_9, plain, (ordinal(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_11, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_10, plain, (epsilon_connected(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_91, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.12/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_8, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.12/0.41 cnf(i_0_82, plain, (element(X1,X2)|~in(X1,X2))). % 0.12/0.41 cnf(i_0_51, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.12/0.41 cnf(i_0_50, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.12/0.41 cnf(i_0_26, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_86, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.12/0.41 cnf(i_0_5, plain, (one_to_one(X1)|~relation(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_88, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.12/0.41 cnf(i_0_85, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.12/0.41 cnf(i_0_83, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.12/0.41 cnf(i_0_27, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_25, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_87, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.12/0.41 cnf(i_0_15, plain, (is_reflexive_in(X1,X2)|in(esk1_2(X1,X2),X2)|~relation(X1))). % 0.12/0.41 cnf(i_0_14, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X1))). % 0.12/0.41 cnf(i_0_20, plain, (inclusion_relation(relation_field(X1))=X1|in(esk2_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_19, plain, (inclusion_relation(relation_field(X1))=X1|in(esk3_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_16, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_22, plain, (subset(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_21, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_18, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(singleton(esk2_2(relation_field(X1),X1)),unordered_pair(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))),X1))). % 0.12/0.41 cnf(i_0_17, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))|in(unordered_pair(singleton(esk2_2(relation_field(X1),X1)),unordered_pair(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))),X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_272, plain, (X70=X70)). % 0.12/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.41 # Begin printing tableau % 0.12/0.41 # Found 5 steps % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set)), inference(start_rule)). % 0.12/0.41 cnf(i_0_297, plain, (empty(empty_set)), inference(extension_rule, [i_0_11])). % 0.12/0.41 cnf(i_0_437, plain, (epsilon_transitive(empty_set)), inference(extension_rule, [i_0_8])). % 0.12/0.41 cnf(i_0_605, plain, (~epsilon_connected(empty_set)), inference(closure_rule, [i_0_43])). % 0.12/0.41 cnf(i_0_604, plain, (ordinal(empty_set)), inference(etableau_closure_rule, [i_0_604, ...])). % 0.12/0.41 # End printing tableau % 0.12/0.41 # SZS output end % 0.12/0.41 # Branches closed with saturation will be marked with an "s" % 0.12/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.41 # Begin clausification derivation % 0.12/0.41 % 0.12/0.41 # End clausification derivation % 0.12/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set))). % 0.12/0.41 cnf(i_0_58, plain, (empty(esk7_0))). % 0.12/0.41 cnf(i_0_60, plain, (empty(esk8_0))). % 0.12/0.41 cnf(i_0_65, plain, (empty(esk9_0))). % 0.12/0.41 cnf(i_0_47, plain, (function(empty_set))). % 0.12/0.41 cnf(i_0_53, plain, (function(esk5_0))). % 0.12/0.41 cnf(i_0_59, plain, (function(esk8_0))). % 0.12/0.41 cnf(i_0_67, plain, (function(esk9_0))). % 0.12/0.41 cnf(i_0_71, plain, (function(esk11_0))). % 0.12/0.41 cnf(i_0_77, plain, (function(esk13_0))). % 0.12/0.41 cnf(i_0_42, plain, (ordinal(empty_set))). % 0.12/0.41 cnf(i_0_55, plain, (ordinal(esk6_0))). % 0.12/0.41 cnf(i_0_62, plain, (ordinal(esk9_0))). % 0.12/0.41 cnf(i_0_73, plain, (ordinal(esk12_0))). % 0.12/0.41 cnf(i_0_44, plain, (epsilon_transitive(empty_set))). % 0.12/0.41 cnf(i_0_57, plain, (epsilon_transitive(esk6_0))). % 0.12/0.41 cnf(i_0_64, plain, (epsilon_transitive(esk9_0))). % 0.12/0.41 cnf(i_0_75, plain, (epsilon_transitive(esk12_0))). % 0.12/0.41 cnf(i_0_43, plain, (epsilon_connected(empty_set))). % 0.12/0.41 cnf(i_0_56, plain, (epsilon_connected(esk6_0))). % 0.12/0.41 cnf(i_0_63, plain, (epsilon_connected(esk9_0))). % 0.12/0.41 cnf(i_0_74, plain, (epsilon_connected(esk12_0))). % 0.12/0.41 cnf(i_0_49, plain, (relation(empty_set))). % 0.12/0.41 cnf(i_0_54, plain, (relation(esk5_0))). % 0.12/0.41 cnf(i_0_61, plain, (relation(esk8_0))). % 0.12/0.41 cnf(i_0_68, plain, (relation(esk9_0))). % 0.12/0.41 cnf(i_0_72, plain, (relation(esk11_0))). % 0.12/0.41 cnf(i_0_79, plain, (relation(esk13_0))). % 0.12/0.41 cnf(i_0_46, plain, (one_to_one(empty_set))). % 0.12/0.41 cnf(i_0_66, plain, (one_to_one(esk9_0))). % 0.12/0.41 cnf(i_0_70, plain, (one_to_one(esk11_0))). % 0.12/0.41 cnf(i_0_48, plain, (relation_empty_yielding(empty_set))). % 0.12/0.41 cnf(i_0_78, plain, (relation_empty_yielding(esk13_0))). % 0.12/0.41 cnf(i_0_30, plain, (relation(inclusion_relation(X1)))). % 0.12/0.41 cnf(i_0_80, plain, (subset(X1,X1))). % 0.12/0.41 cnf(i_0_81, plain, (set_union2(X1,empty_set)=X1)). % 0.12/0.41 cnf(i_0_52, plain, (set_union2(X1,X1)=X1)). % 0.12/0.41 cnf(i_0_39, plain, (element(esk4_1(X1),X1))). % 0.12/0.41 cnf(i_0_23, plain, (relation_field(inclusion_relation(X1))=X1)). % 0.12/0.41 cnf(i_0_12, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.12/0.41 cnf(i_0_13, plain, (set_union2(X1,X2)=set_union2(X2,X1))). % 0.12/0.41 cnf(i_0_84, negated_conjecture, (~reflexive(inclusion_relation(esk14_0)))). % 0.12/0.41 cnf(i_0_69, plain, (~empty(esk10_0))). % 0.12/0.41 cnf(i_0_76, plain, (~empty(esk12_0))). % 0.12/0.41 cnf(i_0_41, plain, (~empty(unordered_pair(singleton(X1),unordered_pair(X1,X2))))). % 0.12/0.41 cnf(i_0_90, plain, (~empty(X1)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_89, plain, (X1=empty_set|~empty(X1))). % 0.12/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_9, plain, (ordinal(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_11, plain, (epsilon_transitive(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_10, plain, (epsilon_connected(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))). % 0.12/0.41 cnf(i_0_91, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.12/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.12/0.41 cnf(i_0_8, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))). % 0.12/0.41 cnf(i_0_82, plain, (element(X1,X2)|~in(X1,X2))). % 0.12/0.41 cnf(i_0_51, plain, (empty(X1)|~empty(set_union2(X2,X1)))). % 0.12/0.41 cnf(i_0_50, plain, (empty(X1)|~empty(set_union2(X1,X2)))). % 0.12/0.41 cnf(i_0_26, plain, (reflexive(X1)|~is_reflexive_in(X1,relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_86, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.12/0.41 cnf(i_0_5, plain, (one_to_one(X1)|~relation(X1)|~empty(X1))). % 0.12/0.41 cnf(i_0_88, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.12/0.41 cnf(i_0_85, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.12/0.41 cnf(i_0_83, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.12/0.41 cnf(i_0_27, plain, (is_reflexive_in(X1,relation_field(X1))|~reflexive(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_25, plain, (set_union2(relation_dom(X1),relation_rng(X1))=relation_field(X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_87, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.12/0.41 cnf(i_0_15, plain, (is_reflexive_in(X1,X2)|in(esk1_2(X1,X2),X2)|~relation(X1))). % 0.12/0.41 cnf(i_0_14, plain, (is_reflexive_in(X1,X2)|~relation(X1)|~in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk1_2(X1,X2))),X1))). % 0.12/0.41 cnf(i_0_20, plain, (inclusion_relation(relation_field(X1))=X1|in(esk2_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_19, plain, (inclusion_relation(relation_field(X1))=X1|in(esk3_2(relation_field(X1),X1),relation_field(X1))|~relation(X1))). % 0.12/0.41 cnf(i_0_16, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X1)),X2)|~is_reflexive_in(X2,X3)|~relation(X2)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_22, plain, (subset(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),inclusion_relation(X3))|~in(X2,X3)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_21, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),inclusion_relation(X3))|~subset(X1,X2)|~in(X2,X3)|~in(X1,X3))). % 0.12/0.41 cnf(i_0_18, plain, (inclusion_relation(relation_field(X1))=X1|~subset(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))|~relation(X1)|~in(unordered_pair(singleton(esk2_2(relation_field(X1),X1)),unordered_pair(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))),X1))). % 0.12/0.41 cnf(i_0_17, plain, (inclusion_relation(relation_field(X1))=X1|subset(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))|in(unordered_pair(singleton(esk2_2(relation_field(X1),X1)),unordered_pair(esk2_2(relation_field(X1),X1),esk3_2(relation_field(X1),X1))),X1)|~relation(X1))). % 0.12/0.41 cnf(i_0_272, plain, (X70=X70)). % 0.12/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.41 # Begin printing tableau % 0.12/0.41 # Found 6 steps % 0.12/0.41 cnf(i_0_40, plain, (empty(empty_set)), inference(start_rule)). % 0.12/0.41 cnf(i_0_297, plain, (empty(empty_set)), inference(extension_rule, [i_0_88])). % 0.12/0.41 cnf(i_0_467, plain, (~element(esk4_1(powerset(empty_set)),powerset(empty_set))), inference(closure_rule, [i_0_39])). % 0.12/0.41 cnf(i_0_469, plain, (~in(esk4_1(esk4_1(powerset(empty_set))),esk4_1(powerset(empty_set)))), inference(extension_rule, [i_0_83])). % 0.12/0.41 cnf(i_0_628, plain, (~element(esk4_1(esk4_1(powerset(empty_set))),esk4_1(powerset(empty_set)))), inference(closure_rule, [i_0_39])). % 0.12/0.41 cnf(i_0_626, plain, (empty(esk4_1(powerset(empty_set)))), inference(etableau_closure_rule, [i_0_626, ...])). % 0.12/0.41 # End printing tableau % 0.12/0.41 # SZS output end % 0.12/0.41 # Branches closed with saturation will be marked with an "s" % 0.12/0.41 # Child (19756) has found a proof. % 0.12/0.41 % 0.12/0.41 # Proof search is over... % 0.12/0.41 # Freeing feature tree %------------------------------------------------------------------------------