%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0. % 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 : n026.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 09:23:33 EDT 2022 % Result : Theorem 0.19s 0.41s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SEU032+1 : TPTP v8.1.0. Released v3.2.0. % 0.11/0.12 % 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 : n026.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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 18 19:20:25 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.36 # No SInE strategy applied % 0.12/0.36 # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.12/0.36 # and selection function SelectComplexExceptUniqMaxHorn. % 0.12/0.36 # % 0.12/0.36 # Presaturation interreduction done % 0.12/0.36 # Number of axioms: 70 Number of unprocessed: 65 % 0.12/0.36 # Tableaux proof search. % 0.12/0.36 # APR header successfully linked. % 0.12/0.36 # Hello from C++ % 0.12/0.37 # The folding up rule is enabled... % 0.12/0.37 # Local unification is enabled... % 0.12/0.37 # Any saturation attempts will use folding labels... % 0.12/0.37 # 65 beginning clauses after preprocessing and clausification % 0.12/0.37 # Creating start rules for all 4 conjectures. % 0.12/0.37 # There are 4 start rule candidates: % 0.12/0.37 # Found 30 unit axioms. % 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.12/0.37 # 4 start rule tableaux created. % 0.12/0.37 # 35 extension rule candidate clauses % 0.12/0.37 # 30 unit axiom clauses % 0.12/0.37 % 0.12/0.37 # Requested 8, 32 cores available to the main process. % 0.12/0.37 # There are not enough tableaux to fork, creating more from the initial 4 % 0.12/0.37 # Returning from population with 10 new_tableaux and 0 remaining starting tableaux. % 0.12/0.37 # We now have 10 tableaux to operate on % 0.12/0.41 # Creating equality axioms % 0.12/0.41 # Ran out of tableaux, making start rules for all clauses % 0.12/0.41 # Creating equality axioms % 0.12/0.41 # Ran out of tableaux, making start rules for all clauses % 0.12/0.41 # Creating equality axioms % 0.12/0.41 # Ran out of tableaux, making start rules for all clauses % 0.12/0.41 # Creating equality axioms % 0.12/0.41 # Ran out of tableaux, making start rules for all clauses % 0.19/0.41 # Creating equality axioms % 0.19/0.41 # Ran out of tableaux, making start rules for all clauses % 0.19/0.41 # There were 1 total branch saturation attempts. % 0.19/0.41 # There were 0 of these attempts blocked. % 0.19/0.41 # There were 0 deferred branch saturation attempts. % 0.19/0.41 # There were 0 free duplicated saturations. % 0.19/0.41 # There were 1 total successful branch saturations. % 0.19/0.41 # There were 0 successful branch saturations in interreduction. % 0.19/0.41 # There were 0 successful branch saturations on the branch. % 0.19/0.41 # There were 1 successful branch saturations after the branch. % 0.19/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # Begin clausification derivation % 0.19/0.41 % 0.19/0.41 # End clausification derivation % 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.41 cnf(i_0_68, negated_conjecture, (function(esk12_0))). % 0.19/0.41 cnf(i_0_69, negated_conjecture, (relation(esk12_0))). % 0.19/0.41 cnf(i_0_67, negated_conjecture, (one_to_one(esk12_0))). % 0.19/0.41 cnf(i_0_33, plain, (function(esk2_0))). % 0.19/0.41 cnf(i_0_16, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_40, plain, (function(esk6_0))). % 0.19/0.41 cnf(i_0_49, plain, (function(esk10_0))). % 0.19/0.41 cnf(i_0_15, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_34, plain, (relation(esk2_0))). % 0.19/0.41 cnf(i_0_35, plain, (relation(esk3_0))). % 0.19/0.41 cnf(i_0_42, plain, (relation(esk6_0))). % 0.19/0.41 cnf(i_0_36, plain, (empty(esk3_0))). % 0.19/0.41 cnf(i_0_39, plain, (empty(esk5_0))). % 0.19/0.41 cnf(i_0_41, plain, (empty(esk6_0))). % 0.19/0.41 cnf(i_0_43, plain, (relation(esk7_0))). % 0.19/0.41 cnf(i_0_50, plain, (relation(esk10_0))). % 0.19/0.41 cnf(i_0_52, plain, (relation(esk11_0))). % 0.19/0.41 cnf(i_0_48, plain, (one_to_one(esk10_0))). % 0.19/0.41 cnf(i_0_14, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_51, plain, (relation_empty_yielding(esk11_0))). % 0.19/0.41 cnf(i_0_21, plain, (function(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_53, plain, (subset(X1,X1))). % 0.19/0.41 cnf(i_0_10, plain, (relation(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_45, plain, (empty(esk8_1(X1)))). % 0.19/0.41 cnf(i_0_11, plain, (element(esk1_1(X1),X1))). % 0.19/0.41 cnf(i_0_46, plain, (element(esk8_1(X1),powerset(X1)))). % 0.19/0.41 cnf(i_0_66, negated_conjecture, (function_inverse(function_inverse(esk12_0))!=esk12_0)). % 0.19/0.41 cnf(i_0_44, plain, (~empty(esk7_0))). % 0.19/0.41 cnf(i_0_47, plain, (~empty(esk9_0))). % 0.19/0.41 cnf(i_0_19, plain, (~empty(powerset(X1)))). % 0.19/0.41 cnf(i_0_71, plain, (~empty(X1)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_70, plain, (X1=empty_set|~empty(X1))). % 0.19/0.41 cnf(i_0_7, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_8, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_64, plain, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_37, plain, (empty(X1)|~empty(esk4_1(X1)))). % 0.19/0.41 cnf(i_0_54, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_25, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.19/0.41 cnf(i_0_27, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_29, plain, (relation(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_26, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 0.19/0.41 cnf(i_0_28, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_72, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_30, plain, (empty(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_57, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.41 cnf(i_0_61, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.19/0.41 cnf(i_0_56, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_55, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.19/0.41 cnf(i_0_9, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.41 cnf(i_0_12, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_31, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_59, plain, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_38, plain, (element(esk4_1(X1),powerset(X1))|empty(X1))). % 0.19/0.41 cnf(i_0_13, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_32, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_58, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.19/0.41 cnf(i_0_17, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.19/0.41 cnf(i_0_60, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_63, plain, (relation_composition(X1,function_inverse(X1))=identity_relation(relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_62, plain, (relation_composi# There were 1 total branch saturation attempts. % 0.19/0.41 # There were 0 of these attempts blocked. % 0.19/0.41 # There were 0 deferred branch saturation attempts. % 0.19/0.41 # There were 0 free duplicated saturations. % 0.19/0.41 # There were 1 total successful branch saturations. % 0.19/0.41 # There were 0 successful branch saturations in interreduction. % 0.19/0.41 # There were 0 successful branch saturations on the branch. % 0.19/0.41 # There were 1 successful branch saturations after the branch. % 0.19/0.41 # There were 1 total branch saturation attempts. % 0.19/0.41 # There were 0 of these attempts blocked. % 0.19/0.41 # There were 0 deferred branch saturation attempts. % 0.19/0.41 # There were 0 free duplicated saturations. % 0.19/0.41 # There were 1 total successful branch saturations. % 0.19/0.41 # There were 0 successful branch saturations in interreduction. % 0.19/0.41 # There were 0 successful branch saturations on the branch. % 0.19/0.41 # There were 1 successful branch saturations after the branch. % 0.19/0.41 # There were 1 total branch saturation attempts. % 0.19/0.41 # There were 0 of these attempts blocked. % 0.19/0.41 # There were 0 deferred branch saturation attempts. % 0.19/0.41 # There were 0 free duplicated saturations. % 0.19/0.41 # There were 1 total successful branch saturations. % 0.19/0.41 # There were 0 successful branch saturations in interreduction. % 0.19/0.41 # There were 0 successful branch saturations on the branch. % 0.19/0.41 # There were 1 successful branch saturations after the branch. % 0.19/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # Begin clausification derivation % 0.19/0.41 % 0.19/0.41 # End clausification derivation % 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.41 cnf(i_0_68, negated_conjecture, (function(esk12_0))). % 0.19/0.41 cnf(i_0_69, negated_conjecture, (relation(esk12_0))). % 0.19/0.41 cnf(i_0_67, negated_conjecture, (one_to_one(esk12_0))). % 0.19/0.41 cnf(i_0_33, plain, (function(esk2_0))). % 0.19/0.41 cnf(i_0_16, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_40, plain, (function(esk6_0))). % 0.19/0.41 cnf(i_0_49, plain, (function(esk10_0))). % 0.19/0.41 cnf(i_0_15, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_34, plain, (relation(esk2_0))). % 0.19/0.41 cnf(i_0_35, plain, (relation(esk3_0))). % 0.19/0.41 cnf(i_0_42, plain, (relation(esk6_0))). % 0.19/0.41 cnf(i_0_36, plain, (empty(esk3_0))). % 0.19/0.41 cnf(i_0_39, plain, (empty(esk5_0))). % 0.19/0.41 cnf(i_0_41, plain, (empty(esk6_0))). % 0.19/0.41 cnf(i_0_43, plain, (relation(esk7_0))). % 0.19/0.41 cnf(i_0_50, plain, (relation(esk10_0))). % 0.19/0.41 cnf(i_0_52, plain, (relation(esk11_0))). % 0.19/0.41 cnf(i_0_48, plain, (one_to_one(esk10_0))). % 0.19/0.41 cnf(i_0_14, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_51, plain, (relation_empty_yielding(esk11_0))). % 0.19/0.41 cnf(i_0_21, plain, (function(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_53, plain, (subset(X1,X1))). % 0.19/0.41 cnf(i_0_10, plain, (relation(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_45, plain, (empty(esk8_1(X1)))). % 0.19/0.41 cnf(i_0_11, plain, (element(esk1_1(X1),X1))). % 0.19/0.41 cnf(i_0_46, plain, (element(esk8_1(X1),powerset(X1)))). % 0.19/0.41 cnf(i_0_66, negated_conjecture, (function_inverse(function_inverse(esk12_0))!=esk12_0)). % 0.19/0.41 cnf(i_0_44, plain, (~empty(esk7_0))). % 0.19/0.41 cnf(i_0_47, plain, (~empty(esk9_0))). % 0.19/0.41 cnf(i_0_19, plain, (~empty(powerset(X1)))). % 0.19/0.41 cnf(i_0_71, plain, (~empty(X1)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_70, plain, (X1=empty_set|~empty(X1))). % 0.19/0.41 cnf(i_0_7, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_8, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_64, plain, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_37, plain, (empty(X1)|~empty(esk4_1(X1)))). % 0.19/0.41 cnf(i_0_54, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_25, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.19/0.41 cnf(i_0_27, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_29, plain, (relation(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_26, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 0.19/0.41 cnf(i_0_28, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_72, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_30, plain, (empty(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_57, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.41 cnf(i_0_61, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.19/0.41 cnf(i_0_56, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_55, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.19/0.41 cnf(i_0_9, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.41 cnf(i_0_12, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_31, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_59, plain, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_38, plain, (element(esk4_1(X1),powerset(X1))|empty(X1))). % 0.19/0.41 cnf(i_0_13, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_32, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_58, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.19/0.41 cnf(i_0_17, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.19/0.41 cnf(i_0_60, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_63, plain, (relation_composition(X1,function_inverse(X1))=identity_relation(relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_62, plain, (relation_composition(function_inverse(X1),X1)=identity_relation(relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_65, plain, (X1=function_inverse(X2)|relation_composition(X2,X1)!=identity_relation(relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))). % 0.19/0.41 cnf(i_0_383, plain, (X63=X63)). % 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.41 # Begin printing tableau % 0.19/0.41 # Found 8 steps % 0.19/0.41 cnf(i_0_383, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(start_rule)). % 0.19/0.41 cnf(i_0_533, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(extension_rule, [i_0_387])). % 0.19/0.41 cnf(i_0_645, plain, ($false), inference(closure_rule, [i_0_383])). % 0.19/0.41 cnf(i_0_643, plain, (in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_71])). % 0.19/0.41 cnf(i_0_647, plain, (~empty(empty_set)), inference(closure_rule, [i_0_16])). % 0.19/0.41 cnf(i_0_646, plain, (~in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_55])). % 0.19/0.41 cnf(i_0_699, plain, (~element(esk1_1(empty_set),empty_set)), inference(closure_rule, [i_0_11])). % 0.19/0.41 cnf(i_0_697, plain, (empty(empty_set)), inference(etableau_closure_rule, [i_0_697, ...])). % 0.19/0.41 # End printing tableau % 0.19/0.41 # SZS output end % 0.19/0.41 # Branches closed with saturation will be marked with an "s" % 0.19/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # Begin clausification derivation % 0.19/0.41 % 0.19/0.41 # End clausification derivation % 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.41 cnf(i_0_68, negated_conjecture, (function(esk12_0))). % 0.19/0.41 cnf(i_0_69, negated_conjecture, (relation(esk12_0))). % 0.19/0.41 cnf(i_0_67, negated_conjecture, (one_to_one(esk12_0))). % 0.19/0.41 cnf(i_0_33, plain, (function(esk2_0))). % 0.19/0.41 cnf(i_0_16, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_40, plain, (function(esk6_0))). % 0.19/0.41 cnf(i_0_49, plain, (function(esk10_0))). % 0.19/0.41 cnf(i_0_15, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_34, plain, (relation(esk2_0))). % 0.19/0.41 cnf(i_0_35, plain, (relation(esk3_0))). % 0.19/0.41 cnf(i_0_42, plain, (relation(esk6_0))). % 0.19/0.41 cnf(i_0_36, plain, (empty(esk3_0))). % 0.19/0.41 cnf(i_0_39, plain, (empty(esk5_0))). % 0.19/0.41 cnf(i_0_41, plain, (empty(esk6_0))). % 0.19/0.41 cnf(i_0_43, plain, (relation(esk7_0))). % 0.19/0.41 cnf(i_0_50, plain, (relation(esk10_0))). % 0.19/0.41 cnf(i_0_52, plain, (relation(esk11_0))). % 0.19/0.41 cnf(i_0_48, plain, (one_to_one(esk10_0))). % 0.19/0.41 cnf(i_0_14, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_51, plain, (relation_empty_yielding(esk11_0))). % 0.19/0.41 cnf(i_0_21, plain, (function(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_53, plain, (subset(X1,X1))). % 0.19/0.41 cnf(i_0_10, plain, (relation(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_45, plain, (empty(esk8_1(X1)))). % 0.19/0.41 cnf(i_0_11, plain, (element(esk1_1(X1),X1))). % 0.19/0.41 cnf(i_0_46, plain, (element(esk8_1(X1),powerset(X1)))). % 0.19/0.41 cnf(i_0_66, negated_conjecture, (function_inverse(function_inverse(esk12_0))!=esk12_0)). % 0.19/0.41 cnf(i_0_44, plain, (~empty(esk7_0))). % 0.19/0.41 cnf(i_0_47, plain, (~empty(esk9_0))). % 0.19/0.41 cnf(i_0_19, plain, (~empty(powerset(X1)))). % 0.19/0.41 cnf(i_0_71, plain, (~empty(X1)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_70, plain, (X1=empty_set|~empty(X1))). % 0.19/0.41 cnf(i_0_7, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_8, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_64, plain, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_37, plain, (empty(X1)|~empty(esk4_1(X1)))). % 0.19/0.41 cnf(i_0_54, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_25, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.19/0.41 cnf(i_0_27, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_29, plain, (relation(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_26, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 0.19/0.41 cnf(i_0_28, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_72, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_30, plain, (empty(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_57, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.41 cnf(i_0_61, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.19/0.41 cnf(i_0_56, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_55, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.19/0.41 cnf(i_0_9, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.41 cnf(i_0_12, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_31, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_59, plain, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_38, plain, (element(esk4_1(X1),powerset(X1))|empty(X1))). % 0.19/0.41 cnf(i_0_13, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_32, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_58, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.19/0.41 cnf(i_0_17, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.19/0.41 cnf(i_0_60, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_63, plain, (relation_composition(X1,function_inverse(X1))=identity_relation(relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_62, plain, (relation_composition(function_inverse(X1),X1)=identity_relation(relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_65, plain, (X1=function_inverse(X2)|relation_composition(X2,X1)!=identity_relation(relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))). % 0.19/0.41 cnf(i_0_383, plain, (X63=X63)). % 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.41 # Begin printing tableau % 0.19/0.41 # Found 8 steps % 0.19/0.41 cnf(i_0_383, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(start_rule)). % 0.19/0.41 cnf(i_0_533, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(extension_rule, [i_0_387])). % 0.19/0.41 cnf(i_0_645, plain, ($false), inference(closure_rule, [i_0_383])). % 0.19/0.41 cnf(i_0_643, plain, (in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_71])). % 0.19/0.41 cnf(i_0_647, plain, (~empty(empty_set)), inference(closure_rule, [i_0_16])). % 0.19/0.41 cnf(i_0_646, plain, (~in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_55])). % 0.19/0.41 cnf(i_0_699, plain, (~element(esk1_1(empty_set),empty_set)), inference(closure_rule, [i_0_11])). % 0.19/0.41 cnf(i_0_697, plain, (empty(empty_set)), inference(etableau_closure_rule, [i_0_697, ...])). % 0.19/0.41 # End printing tableau % 0.19/0.41 # SZS output end % 0.19/0.41 # Branches closed with saturation will be marked with an "s" % 0.19/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # Begin clausification derivation % 0.19/0.41 % 0.19/0.41 # End clausification derivation % 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.41 cnf(i_0_68, negated_conjecture, (function(esk12_0))). % 0.19/0.41 cnf(i_0_69, negated_conjecture, (relation(esk12_0))). % 0.19/0.41 cnf(i_0_67, negated_conjecture, (one_to_one(esk12_0))). % 0.19/0.41 cnf(i_0_33, plain, (function(esk2_0))). % 0.19/0.41 cnf(i_0_16, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_40, plain, (function(esk6_0))). % 0.19/0.41 cnf(i_0_49, plain, (function(esk10_0))). % 0.19/0.41 cnf(i_0_15, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_34, plain, (relation(esk2_0))). % 0.19/0.41 cnf(i_0_35, plain, (relation(esk3_0))). % 0.19/0.41 cnf(i_0_42, plain, (relation(esk6_0))). % 0.19/0.41 cnf(i_0_36, plain, (empty(esk3_0))). % 0.19/0.41 cnf(i_0_39, plain, (empty(esk5_0))). % 0.19/0.41 cnf(i_0_41, plain, (empty(esk6_0))). % 0.19/0.41 cnf(i_0_43, plain, (relation(esk7_0))). % 0.19/0.41 cnf(i_0_50, plain, (relation(esk10_0))). % 0.19/0.41 cnf(i_0_52, plain, (relation(esk11_0))). % 0.19/0.41 cnf(i_0_48, plain, (one_to_one(esk10_0))). % 0.19/0.41 cnf(i_0_14, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_51, plain, (relation_empty_yielding(esk11_0))). % 0.19/0.41 cnf(i_0_21, plain, (function(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_53, plain, (subset(X1,X1))). % 0.19/0.41 cnf(i_0_10, plain, (relation(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_45, plain, (empty(esk8_1(X1)))). % 0.19/0.41 cnf(i_0_11, plain, (element(esk1_1(X1),X1))). % 0.19/0.41 cnf(i_0_46, plain, (element(esk8_1(X1),powerset(X1)))). % 0.19/0.41 cnf(i_0_66, negated_conjecture, (function_inverse(function_inverse(esk12_0))!=esk12_0)). % 0.19/0.41 cnf(i_0_44, plain, (~empty(esk7_0))). % 0.19/0.41 cnf(i_0_47, plain, (~empty(esk9_0))). % 0.19/0.41 cnf(i_0_19, plain, (~empty(powerset(X1)))). % 0.19/0.41 cnf(i_0_71, plain, (~empty(X1)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_70, plain, (X1=empty_set|~empty(X1))). % 0.19/0.41 cnf(i_0_7, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_8, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_64, plain, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_37, plain, (empty(X1)|~empty(esk4_1(X1)))). % 0.19/0.41 cnf(i_0_54, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_25, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.19/0.41 cnf(i_0_27, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_29, plain, (relation(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_26, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 0.19/0.41 cnf(i_0_28, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_72, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_30, plain, (empty(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_57, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.41 cnf(i_0_61, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.19/0.41 cnf(i_0_56, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_55, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.19/0.41 cnf(i_0_9, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.41 cnf(i_0_12, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_31, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_59, plain, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_38, plain, (element(esk4_1(X1),powerset(X1))|empty(X1))). % 0.19/0.41 cnf(i_0_13, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_32, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_58, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.19/0.41 cnf(i_0_17, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.19/0.41 cnf(i_0_60, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_63, plain, (relation_composition(X1,function_inverse(X1))=identity_relation(relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_62, plain, (relation_composition(function_inverse(X1),X1)=identity_relation(relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_65, plain, (X1=function_inverse(X2)|relation_composition(X2,X1)!=identity_relation(relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))). % 0.19/0.41 cnf(i_0_383, plain, (X63=X63)). % 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.41 # Begin printing tableau % 0.19/0.41 # Found 8 steps % 0.19/0.41 cnf(i_0_383, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(start_rule)). % 0.19/0.41 cnf(i_0_533, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(extension_rule, [i_0_387])). % 0.19/0.41 cnf(i_0_645, plain, ($false), inference(closure_rule, [i_0_383])). % 0.19/0.41 cnf(i_0_643, plain, (in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_71])). % 0.19/0.41 cnf(i_0_647, plain, (~empty(empty_set)), inference(closure_rule, [i_0_16])). % 0.19/0.41 cnf(i_0_646, plain, (~in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_55])). % 0.19/0.41 cnf(i_0_699, plain, (~element(esk1_1(empty_set),empty_set)), inference(closure_rule, [i_0_11])). % 0.19/0.41 cnf(i_0_697, plain, (empty(empty_set)), inference(etableau_closure_rule, [i_0_697, ...])). % 0.19/0.41 # End printing tableau % 0.19/0.41 # SZS output end % 0.19/0.41 # Branches closed with saturation will be marked with an "s" % 0.19/0.41 # There were 1 total branch saturation attempts. % 0.19/0.41 # There were 0 of these attempts blocked. % 0.19/0.41 # There were 0 deferred branch saturation attempts. % 0.19/0.41 # There were 0 free duplicated saturations. % 0.19/0.41 # There were 1 total successful branch saturations. % 0.19/0.41 # There were 0 successful branch saturations in interreduction. % 0.19/0.41 # There were 0 successful branch saturations on the branch. % 0.19/0.41 # There were 1 successful branch saturations after the branch. % 0.19/0.41 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.41 # Begin clausification derivation % 0.19/0.41 % 0.19/0.41 # End clausification derivation % 0.19/0.41 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.41 cnf(i_0_68, negated_conjecture, (function(esk12_0))). % 0.19/0.41 cnf(i_0_69, negated_conjecture, (relation(esk12_0))). % 0.19/0.41 cnf(i_0_67, negated_conjecture, (one_to_one(esk12_0))). % 0.19/0.41 cnf(i_0_33, plain, (function(esk2_0))). % 0.19/0.41 cnf(i_0_16, plain, (empty(empty_set))). % 0.19/0.41 cnf(i_0_40, plain, (function(esk6_0))). % 0.19/0.41 cnf(i_0_49, plain, (function(esk10_0))). % 0.19/0.41 cnf(i_0_15, plain, (relation(empty_set))). % 0.19/0.41 cnf(i_0_34, plain, (relation(esk2_0))). % 0.19/0.41 cnf(i_0_35, plain, (relation(esk3_0))). % 0.19/0.41 cnf(i_0_42, plain, (relation(esk6_0))). % 0.19/0.41 cnf(i_0_36, plain, (empty(esk3_0))). % 0.19/0.41 cnf(i_0_39, plain, (empty(esk5_0))). % 0.19/0.41 cnf(i_0_41, plain, (empty(esk6_0))). % 0.19/0.41 cnf(i_0_43, plain, (relation(esk7_0))). % 0.19/0.41 cnf(i_0_50, plain, (relation(esk10_0))). % 0.19/0.41 cnf(i_0_52, plain, (relation(esk11_0))). % 0.19/0.41 cnf(i_0_48, plain, (one_to_one(esk10_0))). % 0.19/0.41 cnf(i_0_14, plain, (relation_empty_yielding(empty_set))). % 0.19/0.41 cnf(i_0_51, plain, (relation_empty_yielding(esk11_0))). % 0.19/0.41 cnf(i_0_21, plain, (function(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_53, plain, (subset(X1,X1))). % 0.19/0.41 cnf(i_0_10, plain, (relation(identity_relation(X1)))). % 0.19/0.41 cnf(i_0_45, plain, (empty(esk8_1(X1)))). % 0.19/0.41 cnf(i_0_11, plain, (element(esk1_1(X1),X1))). % 0.19/0.41 cnf(i_0_46, plain, (element(esk8_1(X1),powerset(X1)))). % 0.19/0.41 cnf(i_0_66, negated_conjecture, (function_inverse(function_inverse(esk12_0))!=esk12_0)). % 0.19/0.41 cnf(i_0_44, plain, (~empty(esk7_0))). % 0.19/0.41 cnf(i_0_47, plain, (~empty(esk9_0))). % 0.19/0.41 cnf(i_0_19, plain, (~empty(powerset(X1)))). % 0.19/0.41 cnf(i_0_71, plain, (~empty(X1)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_70, plain, (X1=empty_set|~empty(X1))). % 0.19/0.41 cnf(i_0_7, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_8, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_64, plain, (one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.19/0.41 cnf(i_0_37, plain, (empty(X1)|~empty(esk4_1(X1)))). % 0.19/0.41 cnf(i_0_54, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.41 cnf(i_0_25, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.19/0.41 cnf(i_0_27, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_29, plain, (relation(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))). % 0.19/0.41 cnf(i_0_26, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))). % 0.19/0.41 cnf(i_0_28, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_72, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_30, plain, (empty(relation_rng(X1))|~empty(X1))). % 0.19/0.41 cnf(i_0_57, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.41 cnf(i_0_61, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.19/0.41 cnf(i_0_56, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.41 cnf(i_0_55, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.19/0.41 cnf(i_0_9, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.41 cnf(i_0_12, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_31, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_59, plain, (relation_rng(function_inverse(X1))=relation_dom(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_38, plain, (element(esk4_1(X1),powerset(X1))|empty(X1))). % 0.19/0.41 cnf(i_0_13, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.41 cnf(i_0_32, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.41 cnf(i_0_58, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.19/0.41 cnf(i_0_17, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.19/0.41 cnf(i_0_60, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_63, plain, (relation_composition(X1,function_inverse(X1))=identity_relation(relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_62, plain, (relation_composition(function_inverse(X1),X1)=identity_relation(relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_65, plain, (X1=function_inverse(X2)|relation_composition(X2,X1)!=identity_relation(relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))). % 0.19/0.41 cnf(i_0_383, plain, (X63=X63)). % 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.41 # Begin printing tableau % 0.19/0.41 # Found 8 steps % 0.19/0.41 cnf(i_0_383, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(start_rule)). % 0.19/0.41 cnf(i_0_533, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(extension_rule, [i_0_387])). % 0.19/0.41 cnf(i_0_645, plain, ($false), inference(closure_rule, [i_0_383])). % 0.19/0.41 cnf(i_0_643, plain, (in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_71])). % 0.19/0.41 cnf(i_0_647, plain, (~empty(empty_set)), inference(closure_rule, [i_0_16])). % 0.19/0.41 cnf(i_0_646, plain, (~in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_55])). % 0.19/0.41 cnf(i_0_699, plain, (~element(esk1_1(empty_set),empty_set)), inference(closure_rule, [i_0_11])). % 0.19/0.41 cnf(i_0_697, plain, (empty(empty_set)), inference(etableau_closure_rule, [i_0_697, ...])). % 0.19/0.41 # End printing tableau % 0.19/0.41 # SZS output end % 0.19/0.41 # Branches closed with saturation will be marked with an "s" % 0.19/0.41 tion(function_inverse(X1),X1)=identity_relation(relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1))). % 0.19/0.41 cnf(i_0_65, plain, (X1=function_inverse(X2)|relation_composition(X2,X1)!=identity_relation(relation_dom(X2))|relation_rng(X2)!=relation_dom(X1)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))). % 0.19/0.41 cnf(i_0_383, plain, (X63=X63)). % 0.19/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.41 # Begin printing tableau % 0.19/0.41 # Found 8 steps % 0.19/0.41 cnf(i_0_383, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(start_rule)). % 0.19/0.41 cnf(i_0_533, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(extension_rule, [i_0_387])). % 0.19/0.41 cnf(i_0_645, plain, ($false), inference(closure_rule, [i_0_383])). % 0.19/0.41 cnf(i_0_643, plain, (in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_71])). % 0.19/0.41 cnf(i_0_647, plain, (~empty(empty_set)), inference(closure_rule, [i_0_16])). % 0.19/0.41 cnf(i_0_646, plain, (~in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_55])). % 0.19/0.41 cnf(i_0_699, plain, (~element(esk1_1(empty_set),empty_set)), inference(closure_rule, [i_0_11])). % 0.19/0.41 cnf(i_0_697, plain, (empty(empty_set)), inference(etableau_closure_rule, [i_0_697, ...])). % 0.19/0.41 # End printing tableau % 0.19/0.41 # SZS output end % 0.19/0.41 # Branches closed with saturation will be marked with an "s" % 0.19/0.41 # Child (9529) has found a proof. % 0.19/0.41 % 0.19/0.41 # Proof search is over... % 0.19/0.41 # Freeing feature tree %------------------------------------------------------------------------------