%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU339+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 : n019.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 2.41s 0.73s % Output : CNFRefutation 2.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SEU339+1 : TPTP v8.1.0. Released v3.3.0. % 0.04/0.14 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.14/0.36 % Computer : n019.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Mon Jun 20 03:29:39 EDT 2022 % 0.14/0.36 % CPUTime : % 0.22/0.39 # No SInE strategy applied % 0.22/0.39 # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.22/0.39 # and selection function SelectComplexExceptUniqMaxHorn. % 0.22/0.39 # % 0.22/0.39 # Presaturation interreduction done % 0.22/0.39 # Number of axioms: 54 Number of unprocessed: 54 % 0.22/0.39 # Tableaux proof search. % 0.22/0.39 # APR header successfully linked. % 0.22/0.39 # Hello from C++ % 0.22/0.39 # The folding up rule is enabled... % 0.22/0.39 # Local unification is enabled... % 0.22/0.39 # Any saturation attempts will use folding labels... % 0.22/0.39 # 54 beginning clauses after preprocessing and clausification % 0.22/0.39 # Creating start rules for all 7 conjectures. % 0.22/0.39 # There are 7 start rule candidates: % 0.22/0.39 # Found 22 unit axioms. % 0.22/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.22/0.39 # 7 start rule tableaux created. % 0.22/0.39 # 32 extension rule candidate clauses % 0.22/0.39 # 22 unit axiom clauses % 0.22/0.39 % 0.22/0.39 # Requested 8, 32 cores available to the main process. % 0.22/0.39 # There are not enough tableaux to fork, creating more from the initial 7 % 0.22/0.39 # Returning from population with 12 new_tableaux and 0 remaining starting tableaux. % 0.22/0.39 # We now have 12 tableaux to operate on % 2.41/0.73 # There were 1 total branch saturation attempts. % 2.41/0.73 # There were 0 of these attempts blocked. % 2.41/0.73 # There were 0 deferred branch saturation attempts. % 2.41/0.73 # There were 0 free duplicated saturations. % 2.41/0.73 # There were 1 total successful branch saturations. % 2.41/0.73 # There were 0 successful branch saturations in interreduction. % 2.41/0.73 # There were 0 successful branch saturations on the branch. % 2.41/0.73 # There were 1 successful branch saturations after the branch. % 2.41/0.73 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.41/0.73 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.41/0.73 # Begin clausification derivation % 2.41/0.73 % 2.41/0.73 # End clausification derivation % 2.41/0.73 # Begin listing active clauses obtained from FOF to CNF conversion % 2.41/0.73 cnf(i_0_56, negated_conjecture, (rel_str(esk12_0))). % 2.41/0.73 cnf(i_0_57, negated_conjecture, (antisymmetric_relstr(esk12_0))). % 2.41/0.73 cnf(i_0_55, negated_conjecture, (element(esk13_0,the_carrier(esk12_0)))). % 2.41/0.73 cnf(i_0_54, negated_conjecture, (element(esk14_0,the_carrier(esk12_0)))). % 2.41/0.73 cnf(i_0_28, plain, (rel_str(esk3_0))). % 2.41/0.73 cnf(i_0_29, plain, (one_sorted_str(esk4_0))). % 2.41/0.73 cnf(i_0_34, plain, (empty(empty_set))). % 2.41/0.73 cnf(i_0_53, negated_conjecture, (related(esk12_0,esk13_0,esk14_0))). % 2.41/0.73 cnf(i_0_52, negated_conjecture, (related(esk12_0,esk14_0,esk13_0))). % 2.41/0.73 cnf(i_0_40, plain, (empty(esk9_0))). % 2.41/0.73 cnf(i_0_41, plain, (empty(esk10_1(X1)))). % 2.41/0.73 cnf(i_0_46, plain, (subset(X1,X1))). % 2.41/0.73 cnf(i_0_31, plain, (element(esk6_1(X1),X1))). % 2.41/0.73 cnf(i_0_42, plain, (element(esk10_1(X1),powerset(X1)))). % 2.41/0.73 cnf(i_0_32, plain, (relation_of2_as_subset(esk7_2(X1,X2),X1,X2))). % 2.41/0.73 cnf(i_0_30, plain, (relation_of2(esk5_2(X1,X2),X1,X2))). % 2.41/0.73 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 2.41/0.73 cnf(i_0_51, negated_conjecture, (esk14_0!=esk13_0)). % 2.41/0.73 cnf(i_0_43, plain, (~empty(esk11_0))). % 2.41/0.73 cnf(i_0_33, plain, (~empty(powerset(X1)))). % 2.41/0.73 cnf(i_0_35, plain, (~empty(singleton(X1)))). % 2.41/0.73 cnf(i_0_36, plain, (~empty(unordered_pair(X1,X2)))). % 2.41/0.73 cnf(i_0_21, plain, (one_sorted_str(X1)|~rel_str(X1))). % 2.41/0.73 cnf(i_0_63, plain, (X1=empty_set|~empty(X1))). % 2.41/0.73 cnf(i_0_64, plain, (~empty(X1)|~in(X2,X1))). % 2.41/0.73 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 2.41/0.73 cnf(i_0_38, plain, (empty(X1)|~empty(esk8_1(X1)))). % 2.41/0.73 cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))). % 2.41/0.73 cnf(i_0_11, plain, (antisymmetric_relstr(X1)|~rel_str(X1)|~is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)))). % 2.41/0.73 cnf(i_0_60, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 2.41/0.73 cnf(i_0_65, plain, (X1=X2|~empty(X2)|~empty(X1))). % 2.41/0.73 cnf(i_0_62, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 2.41/0.73 cnf(i_0_44, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))). % 2.41/0.73 cnf(i_0_2, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))). % 2.41/0.73 cnf(i_0_58, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 2.41/0.73 cnf(i_0_59, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 2.41/0.73 cnf(i_0_12, plain, (is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1))). % 2.41/0.73 cnf(i_0_37, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))). % 2.41/0.73 cnf(i_0_39, plain, (empty(X1)|element(esk8_1(X1),powerset(X1)))). % 2.41/0.73 cnf(i_0_26, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))). % 2.41/0.73 cnf(i_0_8, plain, (is_antisymmetric_in(X1,X2)|in(esk1_2(X1,X2),X2)|~relation(X1))). % 2.41/0.73 cnf(i_0_45, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))). % 2.41/0.73 cnf(i_0_4, plain, (is_antisymmetric_in(X1,X2)|esk2_2(X1,X2)!=esk1_2(X1,X2)|~relation(X1))). % 2.41/0.73 cnf(i_0_61, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 2.41/0.73 cnf(i_0_25, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))). % 2.41/0.73 cnf(i_0_7, plain, (is_antisymmetric_in(X1,X2)|in(esk2_2(X1,X2),X2)|~relation(X1))). % 2.41/0.73 cnf(i_0_48, plain, (in(X1,X2)|~in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)))). % 2.41/0.73 cnf(i_0_49, plain, (in(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)))). % 2.41/0.73 cnf(i_0_13, plain, (related(X1,X2,X3)|~rel_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),the_InternalRel(X1)))). % 2.41/0.73 cnf(i_0_47, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). % 2.41/0.73 cnf(i_0_14, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),the_InternalRel(X3))|~related(X3,X1,X2)|~rel_str(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3)))). % 2.41/0.73 cnf(i_0_9, plain, (X1=X2|~is_antisymmetric_in(X3,X4)|~relation(X3)|~in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),X3)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)|~in(X2,X4)|~in(X1,X4))). % 2.41/0.73 cnf(i_0_6, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1)|~relation(X1))). % 2.41/0.73 cnf(i_0_5, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(singleton(esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1)|~relation(X1))). % 2.41/0.73 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 2.41/0.73 # Begin printing tableau % 2.41/0.73 # Found 7 steps % 2.41/0.73 cnf(i_0_54, negated_conjecture, (element(esk14_0,the_carrier(esk12_0))), inference(start_rule)). % 2.41/0.73 cnf(i_0_69, plain, (element(esk14_0,the_carrier(esk12_0))), inference(extension_rule, [i_0_14])). % 2.41/0.73 cnf(i_0_408, plain, (~related(esk12_0,esk14_0,esk13_0)), inference(closure_rule, [i_0_52])). % 2.41/0.73 cnf(i_0_409, plain, (~rel_str(esk12_0)), inference(closure_rule, [i_0_56])). % 2.41/0.73 cnf(i_0_410, plain, (~element(esk13_0,the_carrier(esk12_0))), inference(closure_rule, [i_0_55])). % 2.41/0.73 cnf(i_0_407, plain, (in(unordered_pair(singleton(esk14_0),unordered_pair(esk14_0,esk13_0)),the_InternalRel(esk12_0))), inference(extension_rule, [i_0_64])). % 2.41/0.73 cnf(i_0_429, plain, (~empty(the_InternalRel(esk12_0))), inference(etableau_closure_rule, [i_0_429, ...])). % 2.41/0.73 # End printing tableau % 2.41/0.73 # SZS output end % 2.41/0.73 # Branches closed with saturation will be marked with an "s" % 2.41/0.73 # There were 1 total branch saturation attempts. % 2.41/0.73 # There were 0 of these attempts blocked. % 2.41/0.73 # There were 0 deferred branch saturation attempts. % 2.41/0.73 # There were 0 free duplicated saturations. % 2.41/0.73 # There were 1 total successful branch saturations. % 2.41/0.73 # There were 0 successful branch saturations in interreduction. % 2.41/0.73 # There were 0 successful branch saturations on the branch. % 2.41/0.73 # There were 1 successful branch saturations after the branch. % 2.41/0.73 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.41/0.73 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.41/0.73 # Begin clausification derivation % 2.41/0.73 % 2.41/0.73 # End clausification derivation % 2.41/0.73 # Begin listing active clauses obtained from FOF to CNF conversion % 2.41/0.73 cnf(i_0_56, negated_conjecture, (rel_str(esk12_0))). % 2.41/0.73 cnf(i_0_57, negated_conjecture, (antisymmetric_relstr(esk12_0))). % 2.41/0.73 cnf(i_0_55, negated_conjecture, (element(esk13_0,the_carrier(esk12_0)))). % 2.41/0.73 cnf(i_0_54, negated_conjecture, (element(esk14_0,the_carrier(esk12_0)))). % 2.41/0.73 cnf(i_0_28, plain, (rel_str(esk3_0))). % 2.41/0.73 cnf(i_0_29, plain, (one_sorted_str(esk4_0))). % 2.41/0.73 cnf(i_0_34, plain, (empty(empty_set))). % 2.41/0.73 cnf(i_0_53, negated_conjecture, (related(esk12_0,esk13_0,esk14_0))). % 2.41/0.73 cnf(i_0_52, negated_conjecture, (related(esk12_0,esk14_0,esk13_0))). % 2.41/0.73 cnf(i_0_40, plain, (empty(esk9_0))). % 2.41/0.73 cnf(i_0_41, plain, (empty(esk10_1(X1)))). % 2.41/0.73 cnf(i_0_46, plain, (subset(X1,X1))). % 2.41/0.73 cnf(i_0_31, plain, (element(esk6_1(X1),X1))). % 2.41/0.73 cnf(i_0_42, plain, (element(esk10_1(X1),powerset(X1)))). % 2.41/0.73 cnf(i_0_32, plain, (relation_of2_as_subset(esk7_2(X1,X2),X1,X2))). % 2.41/0.73 cnf(i_0_30, plain, (relation_of2(esk5_2(X1,X2),X1,X2))). % 2.41/0.73 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 2.41/0.73 cnf(i_0_51, negated_conjecture, (esk14_0!=esk13_0)). % 2.41/0.73 cnf(i_0_43, plain, (~empty(esk11_0))). % 2.41/0.73 cnf(i_0_33, plain, (~empty(powerset(X1)))). % 2.41/0.73 cnf(i_0_35, plain, (~empty(singleton(X1)))). % 2.41/0.73 cnf(i_0_36, plain, (~empty(unordered_pair(X1,X2)))). % 2.41/0.73 cnf(i_0_21, plain, (one_sorted_str(X1)|~rel_str(X1))). % 2.41/0.73 cnf(i_0_63, plain, (X1=empty_set|~empty(X1))). % 2.41/0.73 cnf(i_0_64, plain, (~empty(X1)|~in(X2,X1))). % 2.41/0.73 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 2.41/0.73 cnf(i_0_38, plain, (empty(X1)|~empty(esk8_1(X1)))). % 2.41/0.73 cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))). % 2.41/0.73 cnf(i_0_11, plain, (antisymmetric_relstr(X1)|~rel_str(X1)|~is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)))). % 2.41/0.73 cnf(i_0_60, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 2.41/0.73 cnf(i_0_65, plain, (X1=X2|~empty(X2)|~empty(X1))). % 2.41/0.73 cnf(i_0_62, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))). % 2.41/0.73 cnf(i_0_44, plain, (relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3))). % 2.41/0.73 cnf(i_0_2, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3))))). % 2.41/0.73 cnf(i_0_58, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 2.41/0.73 cnf(i_0_59, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 2.41/0.73 cnf(i_0_12, plain, (is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~antisymmetric_relstr(X1)|~rel_str(X1))). % 2.41/0.73 cnf(i_0_37, plain, (empty(X1)|empty(X2)|~empty(cartesian_product2(X1,X2)))). % 2.41/0.73 cnf(i_0_39, plain, (empty(X1)|element(esk8_1(X1),powerset(X1)))). % 2.41/0.73 cnf(i_0_26, plain, (relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1))). % 2.41/0.73 cnf(i_0_8, plain, (is_antisymmetric_in(X1,X2)|in(esk1_2(X1,X2),X2)|~relation(X1))). % 2.41/0.73 cnf(i_0_45, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3))). % 2.41/0.73 cnf(i_0_4, plain, (is_antisymmetric_in(X1,X2)|esk2_2(X1,X2)!=esk1_2(X1,X2)|~relation(X1))). % 2.41/0.73 cnf(i_0_61, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 2.41/0.73 cnf(i_0_25, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3))). % 2.41/0.73 cnf(i_0_7, plain, (is_antisymmetric_in(X1,X2)|in(esk2_2(X1,X2),X2)|~relation(X1))). % 2.41/0.73 cnf(i_0_48, plain, (in(X1,X2)|~in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)))). % 2.41/0.73 cnf(i_0_49, plain, (in(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)))). % 2.41/0.73 cnf(i_0_13, plain, (related(X1,X2,X3)|~rel_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),the_InternalRel(X1)))). % 2.41/0.73 cnf(i_0_47, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). % 2.41/0.73 cnf(i_0_14, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),the_InternalRel(X3))|~related(X3,X1,X2)|~rel_str(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3)))). % 2.41/0.73 cnf(i_0_9, plain, (X1=X2|~is_antisymmetric_in(X3,X4)|~relation(X3)|~in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),X3)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)|~in(X2,X4)|~in(X1,X4))). % 2.41/0.73 cnf(i_0_6, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1)|~relation(X1))). % 2.41/0.73 cnf(i_0_5, plain, (is_antisymmetric_in(X1,X2)|in(unordered_pair(singleton(esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1)|~relation(X1))). % 2.41/0.73 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 2.41/0.73 # Begin printing tableau % 2.41/0.73 # Found 7 steps % 2.41/0.73 cnf(i_0_54, negated_conjecture, (element(esk14_0,the_carrier(esk12_0))), inference(start_rule)). % 2.41/0.73 cnf(i_0_69, plain, (element(esk14_0,the_carrier(esk12_0))), inference(extension_rule, [i_0_14])). % 2.41/0.73 cnf(i_0_408, plain, (~related(esk12_0,esk13_0,esk14_0)), inference(closure_rule, [i_0_53])). % 2.41/0.73 cnf(i_0_409, plain, (~rel_str(esk12_0)), inference(closure_rule, [i_0_56])). % 2.41/0.73 cnf(i_0_411, plain, (~element(esk13_0,the_carrier(esk12_0))), inference(closure_rule, [i_0_55])). % 2.41/0.73 cnf(i_0_407, plain, (in(unordered_pair(singleton(esk13_0),unordered_pair(esk13_0,esk14_0)),the_InternalRel(esk12_0))), inference(extension_rule, [i_0_64])). % 2.41/0.73 cnf(i_0_429, plain, (~empty(the_InternalRel(esk12_0))), inference(etableau_closure_rule, [i_0_429, ...])). % 2.41/0.73 # End printing tableau % 2.41/0.73 # SZS output end % 2.41/0.73 # Branches closed with saturation will be marked with an "s" % 2.41/0.73 # Child (29516) has found a proof. % 2.41/0.73 % 2.41/0.73 # Proof search is over... % 2.41/0.73 # Freeing feature tree %------------------------------------------------------------------------------