%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU211+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 : n012.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 09:24:47 EDT 2022 % Result : Theorem 2.20s 0.63s % Output : CNFRefutation 2.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.11/0.33 % Computer : n012.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jun 20 06:07:22 EDT 2022 % 0.11/0.33 % CPUTime : % 0.18/0.36 # No SInE strategy applied % 0.18/0.36 # Auto-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S0Y % 0.18/0.36 # and selection function SelectMaxLComplexAvoidPosPred. % 0.18/0.36 # % 0.18/0.36 # Number of axioms: 43 Number of unprocessed: 43 % 0.18/0.36 # Tableaux proof search. % 0.18/0.36 # APR header successfully linked. % 0.18/0.36 # Hello from C++ % 0.18/0.36 # The folding up rule is enabled... % 0.18/0.36 # Local unification is enabled... % 0.18/0.36 # Any saturation attempts will use folding labels... % 0.18/0.36 # 43 beginning clauses after preprocessing and clausification % 0.18/0.36 # Creating start rules for all 3 conjectures. % 0.18/0.36 # There are 3 start rule candidates: % 0.18/0.36 # Found 21 unit axioms. % 0.18/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.18/0.36 # 3 start rule tableaux created. % 0.18/0.36 # 22 extension rule candidate clauses % 0.18/0.36 # 21 unit axiom clauses % 0.18/0.36 % 0.18/0.36 # Requested 8, 32 cores available to the main process. % 0.18/0.36 # There are not enough tableaux to fork, creating more from the initial 3 % 0.18/0.36 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux. % 0.18/0.36 # We now have 11 tableaux to operate on % 0.18/0.38 # Creating equality axioms % 0.18/0.38 # Ran out of tableaux, making start rules for all clauses % 2.20/0.63 # There were 1 total branch saturation attempts. % 2.20/0.63 # There were 0 of these attempts blocked. % 2.20/0.63 # There were 0 deferred branch saturation attempts. % 2.20/0.63 # There were 0 free duplicated saturations. % 2.20/0.63 # There were 1 total successful branch saturations. % 2.20/0.63 # There were 0 successful branch saturations in interreduction. % 2.20/0.63 # There were 0 successful branch saturations on the branch. % 2.20/0.63 # There were 1 successful branch saturations after the branch. % 2.20/0.63 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 2.20/0.63 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 2.20/0.63 # Begin clausification derivation % 2.20/0.63 % 2.20/0.63 # End clausification derivation % 2.20/0.63 # Begin listing active clauses obtained from FOF to CNF conversion % 2.20/0.63 cnf(i_0_23, plain, (empty(empty_set))). % 2.20/0.63 cnf(i_0_28, plain, (empty(empty_set))). % 2.20/0.63 cnf(i_0_30, plain, (empty(esk6_0))). % 2.20/0.63 cnf(i_0_33, plain, (empty(esk8_0))). % 2.20/0.63 cnf(i_0_27, plain, (relation(empty_set))). % 2.20/0.63 cnf(i_0_29, plain, (relation(esk6_0))). % 2.20/0.63 cnf(i_0_34, plain, (relation(esk9_0))). % 2.20/0.63 cnf(i_0_42, negated_conjecture, (relation(esk14_0))). % 2.20/0.63 cnf(i_0_35, plain, (~empty(esk9_0))). % 2.20/0.63 cnf(i_0_38, plain, (~empty(esk11_0))). % 2.20/0.63 cnf(i_0_49, plain, (X1=empty_set|~empty(X1))). % 2.20/0.63 cnf(i_0_36, plain, (empty(esk10_1(X1)))). % 2.20/0.63 cnf(i_0_41, negated_conjecture, (subset(esk12_0,esk13_0))). % 2.20/0.63 cnf(i_0_2, plain, (relation(X1)|~empty(X1))). % 2.20/0.63 cnf(i_0_39, plain, (subset(X1,X1))). % 2.20/0.63 cnf(i_0_51, plain, (X1=X2|~empty(X2)|~empty(X1))). % 2.20/0.63 cnf(i_0_25, plain, (~empty(singleton(X1)))). % 2.20/0.63 cnf(i_0_22, plain, (~empty(powerset(X1)))). % 2.20/0.63 cnf(i_0_21, plain, (element(esk5_1(X1),X1))). % 2.20/0.63 cnf(i_0_31, plain, (empty(X1)|~empty(esk7_1(X1)))). % 2.20/0.63 cnf(i_0_37, plain, (element(esk10_1(X1),powerset(X1)))). % 2.20/0.63 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 2.20/0.63 cnf(i_0_50, plain, (~empty(X2)|~in(X1,X2))). % 2.20/0.63 cnf(i_0_32, plain, (empty(X1)|element(esk7_1(X1),powerset(X1)))). % 2.20/0.63 cnf(i_0_43, plain, (element(X1,X2)|~in(X1,X2))). % 2.20/0.63 cnf(i_0_44, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))). % 2.20/0.63 cnf(i_0_45, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 2.20/0.63 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))). % 2.20/0.63 cnf(i_0_46, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 2.20/0.63 cnf(i_0_26, plain, (~empty(unordered_pair(X1,X2)))). % 2.20/0.63 cnf(i_0_11, plain, (subset(X1,X2)|in(esk4_2(X1,X2),X1))). % 2.20/0.63 cnf(i_0_12, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))). % 2.20/0.63 cnf(i_0_48, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 2.20/0.63 cnf(i_0_47, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 2.20/0.63 cnf(i_0_10, plain, (subset(X1,X2)|~in(esk4_2(X1,X2),X2))). % 2.20/0.63 cnf(i_0_40, negated_conjecture, (~subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0)))). % 2.20/0.63 cnf(i_0_24, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))). % 2.20/0.63 cnf(i_0_7, plain, (in(X1,X5)|X5!=relation_inverse_image(X3,X4)|~relation(X3)|~in(X2,X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3))). % 2.20/0.63 cnf(i_0_4, plain, (X3=relation_inverse_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk3_3(X1,X2,X3),X2)|~relation(X1))). % 2.20/0.63 cnf(i_0_8, plain, (in(esk1_4(X1,X2,X3,X4),X2)|X3!=relation_inverse_image(X1,X2)|~relation(X1)|~in(X4,X3))). % 2.20/0.63 cnf(i_0_5, plain, (X3=relation_inverse_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)|~relation(X1))). % 2.20/0.63 cnf(i_0_6, plain, (X3=relation_inverse_image(X1,X2)|~relation(X1)|~in(X4,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),X4),singleton(esk2_3(X1,X2,X3))),X1))). % 2.20/0.63 cnf(i_0_9, plain, (in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)|X4!=relation_inverse_image(X2,X3)|~relation(X2)|~in(X1,X4))). % 2.20/0.63 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 2.20/0.63 # Begin printing tableau % 2.20/0.63 # Found 4 steps % 2.20/0.63 cnf(i_0_40, negated_conjecture, (~subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0))), inference(start_rule)). % 2.20/0.63 cnf(i_0_52, plain, (~subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0))), inference(extension_rule, [i_0_46])). % 2.20/0.63 cnf(i_0_78, plain, (~element(relation_inverse_image(esk14_0,esk12_0),powerset(relation_inverse_image(esk14_0,esk13_0)))), inference(extension_rule, [i_0_43])). % 2.20/0.63 cnf(i_0_321, plain, (~in(relation_inverse_image(esk14_0,esk12_0),powerset(relation_inverse_image(esk14_0,esk13_0)))), inference(etableau_closure_rule, [i_0_321, ...])). % 2.20/0.63 # End printing tableau % 2.20/0.63 # SZS output end % 2.20/0.63 # Branches closed with saturation will be marked with an "s" % 2.20/0.64 # There were 2 total branch saturation attempts. % 2.20/0.64 # There were 0 of these attempts blocked. % 2.20/0.64 # There were 0 deferred branch saturation attempts. % 2.20/0.64 # There were 0 free duplicated saturations. % 2.20/0.64 # There were 2 total successful branch saturations. % 2.20/0.64 # There were 0 successful branch saturations in interreduction. % 2.20/0.64 # There were 0 successful branch saturations on the branch. % 2.20/0.64 # There were 2 successful branch saturations after the branch. % 2.20/0.64 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 2.20/0.64 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 2.20/0.64 # Begin clausification derivation % 2.20/0.64 % 2.20/0.64 # End clausification derivation % 2.20/0.64 # Begin listing active clauses obtained from FOF to CNF conversion % 2.20/0.64 cnf(i_0_23, plain, (empty(empty_set))). % 2.20/0.64 cnf(i_0_28, plain, (empty(empty_set))). % 2.20/0.64 cnf(i_0_30, plain, (empty(esk6_0))). % 2.20/0.64 cnf(i_0_33, plain, (empty(esk8_0))). % 2.20/0.64 cnf(i_0_27, plain, (relation(empty_set))). % 2.20/0.64 cnf(i_0_29, plain, (relation(esk6_0))). % 2.20/0.64 cnf(i_0_34, plain, (relation(esk9_0))). % 2.20/0.64 cnf(i_0_42, negated_conjecture, (relation(esk14_0))). % 2.20/0.64 cnf(i_0_35, plain, (~empty(esk9_0))). % 2.20/0.64 cnf(i_0_38, plain, (~empty(esk11_0))). % 2.20/0.64 cnf(i_0_49, plain, (X1=empty_set|~empty(X1))). % 2.20/0.64 cnf(i_0_36, plain, (empty(esk10_1(X1)))). % 2.20/0.64 cnf(i_0_41, negated_conjecture, (subset(esk12_0,esk13_0))). % 2.20/0.64 cnf(i_0_2, plain, (relation(X1)|~empty(X1))). % 2.20/0.64 cnf(i_0_39, plain, (subset(X1,X1))). % 2.20/0.64 cnf(i_0_51, plain, (X1=X2|~empty(X2)|~empty(X1))). % 2.20/0.64 cnf(i_0_25, plain, (~empty(singleton(X1)))). % 2.20/0.64 cnf(i_0_22, plain, (~empty(powerset(X1)))). % 2.20/0.64 cnf(i_0_21, plain, (element(esk5_1(X1),X1))). % 2.20/0.64 cnf(i_0_31, plain, (empty(X1)|~empty(esk7_1(X1)))). % 2.20/0.64 cnf(i_0_37, plain, (element(esk10_1(X1),powerset(X1)))). % 2.20/0.64 cnf(i_0_3, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 2.20/0.64 cnf(i_0_50, plain, (~empty(X2)|~in(X1,X2))). % 2.20/0.64 cnf(i_0_32, plain, (empty(X1)|element(esk7_1(X1),powerset(X1)))). % 2.20/0.64 cnf(i_0_43, plain, (element(X1,X2)|~in(X1,X2))). % 2.20/0.64 cnf(i_0_44, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))). % 2.20/0.64 cnf(i_0_45, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 2.20/0.64 cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))). % 2.20/0.64 cnf(i_0_46, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 2.20/0.64 cnf(i_0_26, plain, (~empty(unordered_pair(X1,X2)))). % 2.20/0.64 cnf(i_0_11, plain, (subset(X1,X2)|in(esk4_2(X1,X2),X1))). % 2.20/0.64 cnf(i_0_12, plain, (in(X3,X2)|~in(X3,X1)|~subset(X1,X2))). % 2.20/0.64 cnf(i_0_48, plain, (~empty(X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 2.20/0.64 cnf(i_0_47, plain, (element(X1,X3)|~in(X1,X2)|~element(X2,powerset(X3)))). % 2.20/0.64 cnf(i_0_10, plain, (subset(X1,X2)|~in(esk4_2(X1,X2),X2))). % 2.20/0.64 cnf(i_0_40, negated_conjecture, (~subset(relation_inverse_image(esk14_0,esk12_0),relation_inverse_image(esk14_0,esk13_0)))). % 2.20/0.64 cnf(i_0_24, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))). % 2.20/0.64 cnf(i_0_7, plain, (in(X1,X5)|X5!=relation_inverse_image(X3,X4)|~relation(X3)|~in(X2,X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3))). % 2.20/0.64 cnf(i_0_4, plain, (X3=relation_inverse_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(esk3_3(X1,X2,X3),X2)|~relation(X1))). % 2.20/0.64 cnf(i_0_8, plain, (in(esk1_4(X1,X2,X3,X4),X2)|X3!=relation_inverse_image(X1,X2)|~relation(X1)|~in(X4,X3))). % 2.20/0.64 cnf(i_0_5, plain, (X3=relation_inverse_image(X1,X2)|in(esk2_3(X1,X2,X3),X3)|in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),esk3_3(X1,X2,X3)),singleton(esk2_3(X1,X2,X3))),X1)|~relation(X1))). % 2.20/0.64 cnf(i_0_6, plain, (X3=relation_inverse_image(X1,X2)|~relation(X1)|~in(X4,X2)|~in(esk2_3(X1,X2,X3),X3)|~in(unordered_pair(unordered_pair(esk2_3(X1,X2,X3),X4),singleton(esk2_3(X1,X2,X3))),X1))). % 2.20/0.64 cnf(i_0_9, plain, (in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(X1)),X2)|X4!=relation_inverse_image(X2,X3)|~relation(X2)|~in(X1,X4))). % 2.20/0.64 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 2.20/0.64 # Begin printing tableau % 2.20/0.64 # Found 8 steps % 2.20/0.64 cnf(i_0_41, negated_conjecture, (subset(esk12_0,esk13_0)), inference(start_rule)). % 2.20/0.64 cnf(i_0_53, plain, (subset(esk12_0,esk13_0)), inference(extension_rule, [i_0_12])). % 2.20/0.64 cnf(i_0_144, plain, (in(esk5_1(esk12_0),esk13_0)), inference(extension_rule, [i_0_50])). % 2.20/0.64 cnf(i_0_253, plain, (~empty(esk13_0)), inference(extension_rule, [i_0_31])). % 2.20/0.64 cnf(i_0_145, plain, (~in(esk5_1(esk12_0),esk12_0)), inference(extension_rule, [i_0_44])). % 2.20/0.64 cnf(i_0_277, plain, (~element(esk5_1(esk12_0),esk12_0)), inference(closure_rule, [i_0_21])). % 2.20/0.64 cnf(i_0_263, plain, (~empty(esk7_1(esk13_0))), inference(etableau_closure_rule, [i_0_263, ...])). % 2.20/0.64 cnf(i_0_275, plain, (empty(esk12_0)), inference(etableau_closure_rule, [i_0_275, ...])). % 2.20/0.64 # End printing tableau % 2.20/0.64 # SZS output end % 2.20/0.64 # Branches closed with saturation wi# Child (10883) has found a proof. % 2.20/0.64 % 2.20/0.64 # Proof search is over... % 2.20/0.64 # Freeing feature tree %------------------------------------------------------------------------------