%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU009+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 : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 09:23:27 EDT 2022 % Result : Theorem 0.19s 0.44s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU009+1 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.12/0.34 % Computer : n010.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % 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 05:40:07 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.37 # No SInE strategy applied % 0.12/0.37 # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN % 0.12/0.37 # and selection function PSelectComplexExceptUniqMaxHorn. % 0.12/0.37 # % 0.12/0.37 # Presaturation interreduction done % 0.12/0.37 # Number of axioms: 60 Number of unprocessed: 55 % 0.12/0.37 # Tableaux proof search. % 0.12/0.37 # APR header successfully linked. % 0.12/0.37 # 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 # 55 beginning clauses after preprocessing and clausification % 0.12/0.37 # Creating start rules for all 5 conjectures. % 0.12/0.37 # There are 5 start rule candidates: % 0.12/0.37 # Found 23 unit axioms. % 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.12/0.37 # 5 start rule tableaux created. % 0.12/0.37 # 32 extension rule candidate clauses % 0.12/0.37 # 23 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 5 % 0.12/0.37 # Returning from population with 14 new_tableaux and 0 remaining starting tableaux. % 0.12/0.37 # We now have 14 tableaux to operate on % 0.19/0.44 # Creating equality axioms % 0.19/0.44 # Ran out of tableaux, making start rules for all clauses % 0.19/0.44 # There were 1 total branch saturation attempts. % 0.19/0.44 # There were 0 of these attempts blocked. % 0.19/0.44 # There were 0 deferred branch saturation attempts. % 0.19/0.44 # There were 0 free duplicated saturations. % 0.19/0.44 # There were 1 total successful branch saturations. % 0.19/0.44 # There were 0 successful branch saturations in interreduction. % 0.19/0.44 # There were 0 successful branch saturations on the branch. % 0.19/0.44 # There were 1 successful branch saturations after the branch. % 0.19/0.44 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.44 # Begin clausification derivation % 0.19/0.44 % 0.19/0.44 # End clausification derivation % 0.19/0.44 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.44 cnf(i_0_54, negated_conjecture, (function(esk13_0))). % 0.19/0.44 cnf(i_0_55, negated_conjecture, (relation(esk13_0))). % 0.19/0.44 cnf(i_0_11, plain, (empty(empty_set))). % 0.19/0.44 cnf(i_0_25, plain, (function(esk2_0))). % 0.19/0.44 cnf(i_0_10, plain, (relation(empty_set))). % 0.19/0.44 cnf(i_0_26, plain, (relation(esk2_0))). % 0.19/0.44 cnf(i_0_27, plain, (relation(esk3_0))). % 0.19/0.44 cnf(i_0_32, plain, (relation(esk6_0))). % 0.19/0.44 cnf(i_0_38, plain, (relation(esk9_0))). % 0.19/0.44 cnf(i_0_28, plain, (empty(esk3_0))). % 0.19/0.44 cnf(i_0_31, plain, (empty(esk5_0))). % 0.19/0.44 cnf(i_0_9, plain, (relation_empty_yielding(empty_set))). % 0.19/0.44 cnf(i_0_37, plain, (relation_empty_yielding(esk9_0))). % 0.19/0.44 cnf(i_0_16, plain, (function(identity_relation(X1)))). % 0.19/0.44 cnf(i_0_5, plain, (relation(identity_relation(X1)))). % 0.19/0.44 cnf(i_0_34, plain, (empty(esk7_1(X1)))). % 0.19/0.44 cnf(i_0_39, plain, (subset(X1,X1))). % 0.19/0.44 cnf(i_0_6, plain, (element(esk1_1(X1),X1))). % 0.19/0.44 cnf(i_0_35, plain, (element(esk7_1(X1),powerset(X1)))). % 0.19/0.44 cnf(i_0_48, plain, (relation_dom(identity_relation(X1))=X1)). % 0.19/0.44 cnf(i_0_33, plain, (~empty(esk6_0))). % 0.19/0.44 cnf(i_0_36, plain, (~empty(esk8_0))). % 0.19/0.44 cnf(i_0_14, plain, (~empty(powerset(X1)))). % 0.19/0.44 cnf(i_0_53, negated_conjecture, (~in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))|~in(apply(esk13_0,esk12_0),esk11_0)|~in(esk12_0,relation_dom(esk13_0)))). % 0.19/0.44 cnf(i_0_52, negated_conjecture, (in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))|in(esk12_0,relation_dom(esk13_0)))). % 0.19/0.44 cnf(i_0_51, negated_conjecture, (in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))|in(apply(esk13_0,esk12_0),esk11_0))). % 0.19/0.44 cnf(i_0_59, plain, (~empty(X1)|~in(X2,X1))). % 0.19/0.44 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.44 cnf(i_0_58, plain, (X1=empty_set|~empty(X1))). % 0.19/0.44 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.19/0.44 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.19/0.44 cnf(i_0_29, plain, (empty(X1)|~empty(esk4_1(X1)))). % 0.19/0.44 cnf(i_0_21, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.19/0.44 cnf(i_0_22, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.19/0.44 cnf(i_0_20, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.19/0.44 cnf(i_0_4, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.44 cnf(i_0_7, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.44 cnf(i_0_60, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.44 cnf(i_0_40, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.44 cnf(i_0_50, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.44 cnf(i_0_57, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.19/0.44 cnf(i_0_44, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.19/0.44 cnf(i_0_23, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.44 cnf(i_0_30, plain, (element(esk4_1(X1),powerset(X1))|empty(X1))). % 0.19/0.44 cnf(i_0_49, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.44 cnf(i_0_8, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.44 cnf(i_0_24, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.44 cnf(i_0_56, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.19/0.44 cnf(i_0_12, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.19/0.44 cnf(i_0_43, plain, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))). % 0.19/0.44 cnf(i_0_46, plain, (identity_relation(relation_dom(X1))=X1|in(esk10_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))). % 0.19/0.44 cnf(i_0_47, plain, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))). % 0.19/0.44 cnf(i_0_45, plain, (identity_relation(relation_dom(X1))=X1|apply(X1,esk10_2(relation_dom(X1),X1))!=esk10_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))). % 0.19/0.44 cnf(i_0_42, plain, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))). % 0.19/0.44 cnf(i_0_41, plain, (in(X1,relation_dom(relation_composition(X2,X3)))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(apply(X2,X1),relation_dom(X3))|~in(X1,relation_dom(X2)))). % 0.19/0.44 cnf(i_0_264, plain, (X61=X61)). % 0.19/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.44 # Begin printing tableau % 0.19/0.44 # Found 8 steps % 0.19/0.44 cnf(i_0_264, plain, (esk1_1(relation_dom(identity_relation(empty_set)))=esk1_1(relation_dom(identity_relation(empty_set)))), inference(start_rule)). % 0.19/0.44 cnf(i_0_398, plain, (esk1_1(relation_dom(identity_relation(empty_set)))=esk1_1(relation_dom(identity_relation(empty_set)))), inference(extension_rule, [i_0_268])). % 0.19/0.44 cnf(i_0_503, plain, (relation_dom(identity_relation(empty_set))!=empty_set), inference(closure_rule, [i_0_48])). % 0.19/0.44 cnf(i_0_501, plain, (in(esk1_1(relation_dom(identity_relation(empty_set))),empty_set)), inference(extension_rule, [i_0_59])). % 0.19/0.44 cnf(i_0_505, plain, (~empty(empty_set)), inference(closure_rule, [i_0_11])). % 0.19/0.44 cnf(i_0_504, plain, (~in(esk1_1(relation_dom(identity_relation(empty_set))),relation_dom(identity_relation(empty_set)))), inference(extension_rule, [i_0_44])). % 0.19/0.44 cnf(i_0_542, plain, (~element(esk1_1(relation_dom(identity_relation(empty_set))),relation_dom(identity_relation(empty_set)))), inference(closure_rule, [i_0_6])). % 0.19/0.44 cnf(i_0_540, plain, (empty(relation_dom(identity_relation(empty_set)))), inference(etableau_closure_rule, [i_0_540, ...])). % 0.19/0.44 # End printing tableau % 0.19/0.44 # SZS output end % 0.19/0.44 # Branches closed with saturation will be marked with an "s" % 0.19/0.44 # There were 2 total branch saturation attempts. % 0.19/0.44 # There were 0 of these attempts blocked. % 0.19/0.44 # There were 0 deferred branch saturation attempts. % 0.19/0.44 # There were 0 free duplicated saturations. % 0.19/0.44 # There were 2 total successful branch saturations. % 0.19/0.44 # There were 0 successful branch saturations in interreduction. % 0.19/0.44 # There were 0 successful branch saturations on the branch. % 0.19/0.44 # There were 2 successful branch saturations after the branch. % 0.19/0.44 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.44 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.44 # Begin clausification derivation % 0.19/0.44 % 0.19/0.44 # End clausification derivation % 0.19/0.44 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.44 cnf(i_0_54, negated_conjecture, (function(esk13_0))). % 0.19/0.44 cnf(i_0_55, negated_conjecture, (relation(esk13_0))). % 0.19/0.44 cnf(i_0_11, plain, (empty(empty_set))). % 0.19/0.44 cnf(i_0_25, plain, (function(esk2_0))). % 0.19/0.44 cnf(i_0_10, plain, (relation(empty_set))). % 0.19/0.44 cnf(i_0_26, plain, (relation(esk2_0))). % 0.19/0.44 cnf(i_0_27, plain, (relation(esk3_0))). % 0.19/0.44 cnf(i_0_32, plain, (relation(esk6_0))). % 0.19/0.44 cnf(i_0_38, plain, (relation(esk9_0))). % 0.19/0.44 cnf(i_0_28, plain, (empty(esk3_0))). % 0.19/0.44 cnf(i_0_31, plain, (empty(esk5_0))). % 0.19/0.44 cnf(i_0_9, plain, (relation_empty_yielding(empty_set))). % 0.19/0.44 cnf(i_0_37, plain, (relation_empty_yielding(esk9_0))). % 0.19/0.44 cnf(i_0_16, plain, (function(identity_relation(X1)))). % 0.19/0.44 cnf(i_0_5, plain, (relation(identity_relation(X1)))). % 0.19/0.44 cnf(i_0_34, plain, (empty(esk7_1(X1)))). % 0.19/0.44 cnf(i_0_39, plain, (subset(X1,X1))). % 0.19/0.44 cnf(i_0_6, plain, (element(esk1_1(X1),X1))). % 0.19/0.44 cnf(i_0_35, plain, (element(esk7_1(X1),powerset(X1)))). % 0.19/0.44 cnf(i_0_48, plain, (relation_dom(identity_relation(X1))=X1)). % 0.19/0.44 cnf(i_0_33, plain, (~empty(esk6_0))). % 0.19/0.44 cnf(i_0_36, plain, (~empty(esk8_0))). % 0.19/0.44 cnf(i_0_14, plain, (~empty(powerset(X1)))). % 0.19/0.44 cnf(i_0_53, negated_conjecture, (~in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))|~in(apply(esk13_0,esk12_0),esk11_0)|~in(esk12_0,relation_dom(esk13_0)))). % 0.19/0.44 cnf(i_0_52, negated_conjecture, (in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))|in(esk12_0,relation_dom(esk13_0)))). % 0.19/0.44 cnf(i_0_51, negated_conjecture, (in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))|in(apply(esk13_0,esk12_0),esk11_0))). % 0.19/0.44 cnf(i_0_59, plain, (~empty(X1)|~in(X2,X1))). % 0.19/0.44 cnf(i_0_2, plain, (function(X1)|~empty(X1))). % 0.19/0.44 cnf(i_0_58, plain, (X1=empty_set|~empty(X1))). % 0.19/0.44 cnf(i_0_3, plain, (relation(X1)|~empty(X1))). % 0.19/0.44 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.19/0.44 cnf(i_0_29, plain, (empty(X1)|~empty(esk4_1(X1)))). % 0.19/0.44 cnf(i_0_21, plain, (relation(relation_dom(X1))|~empty(X1))). % 0.19/0.44 cnf(i_0_22, plain, (empty(relation_dom(X1))|~empty(X1))). % 0.19/0.44 cnf(i_0_20, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))). % 0.19/0.44 cnf(i_0_4, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1))). % 0.19/0.44 cnf(i_0_7, plain, (relation(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.44 cnf(i_0_60, plain, (X1=X2|~empty(X2)|~empty(X1))). % 0.19/0.44 cnf(i_0_40, plain, (element(X1,X2)|~in(X1,X2))). % 0.19/0.44 cnf(i_0_50, plain, (subset(X1,X2)|~element(X1,powerset(X2)))). % 0.19/0.44 cnf(i_0_57, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))). % 0.19/0.44 cnf(i_0_44, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))). % 0.19/0.44 cnf(i_0_23, plain, (relation(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.44 cnf(i_0_30, plain, (element(esk4_1(X1),powerset(X1))|empty(X1))). % 0.19/0.44 cnf(i_0_49, plain, (element(X1,powerset(X2))|~subset(X1,X2))). % 0.19/0.44 cnf(i_0_8, plain, (empty(relation_composition(X1,X2))|~relation(X1)|~empty(X2))). % 0.19/0.44 cnf(i_0_24, plain, (empty(relation_composition(X1,X2))|~relation(X2)|~empty(X1))). % 0.19/0.44 cnf(i_0_56, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))). % 0.19/0.44 cnf(i_0_12, plain, (function(relation_composition(X1,X2))|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))). % 0.19/0.44 cnf(i_0_43, plain, (in(X1,relation_dom(X2))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(X1,relation_dom(relation_composition(X2,X3))))). % 0.19/0.44 cnf(i_0_46, plain, (identity_relation(relation_dom(X1))=X1|in(esk10_2(relation_dom(X1),X1),relation_dom(X1))|~relation(X1)|~function(X1))). % 0.19/0.44 cnf(i_0_47, plain, (apply(identity_relation(X1),X2)=X2|~in(X2,X1))). % 0.19/0.44 cnf(i_0_45, plain, (identity_relation(relation_dom(X1))=X1|apply(X1,esk10_2(relation_dom(X1),X1))!=esk10_2(relation_dom(X1),X1)|~relation(X1)|~function(X1))). % 0.19/0.44 cnf(i_0_42, plain, (in(apply(X1,X2),relation_dom(X3))|~relation(X3)|~relation(X1)|~function(X3)|~function(X1)|~in(X2,relation_dom(relation_composition(X1,X3))))). % 0.19/0.44 cnf(i_0_41, plain, (in(X1,relation_dom(relation_composition(X2,X3)))|~relation(X3)|~relation(X2)|~function(X3)|~function(X2)|~in(apply(X2,X1),relation_dom(X3))|~in(X1,relation_dom(X2)))). % 0.19/0.44 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.44 # Begin printing tableau % 0.19/0.44 # Found 9 steps % 0.19/0.44 cnf(i_0_51, negated_conjecture, (in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))|in(apply(esk13_0,esk12_0),esk11_0)), inference(start_rule)). % 0.19/0.44 cnf(i_0_65, plain, (in(esk12_0,relation_dom(relation_composition(esk13_0,identity_relation(esk11_0))))), inference(extension_rule, [i_0_42])). % 0.19/0.44 cnf(i_0_150, plain, (~relation(identity_relation(esk11_0))), inference(closure_rule, [i_0_5])). % 0.19/0.44 cnf(i_0_151, plain, (~relation(esk13_0)), inference(closure_rule, [i_0_55])). % 0.19/0.44 cnf(i_0_152, plain, (~function(identity_relation(esk11_0))), inference(closure_rule, [i_0_16])). % 0.19/0.44 cnf(i_0_153, plain, (~function(esk13_0)), inference(closure_rule, [i_0_54])). % 0.19/0.44 cnf(i_0_149, plain, (in(apply(esk13_0,esk12_0),relation_dom(identity_relation(esk11_0)))), inference(extension_rule, [i_0_59])). % 0.19/0.44 cnf(i_0_66, plain, (in(apply(esk13_0,esk12_0),esk11_0)), inference(etableau_closure_rule, [i_0_66, ...])). % 0.19/0.44 cnf(i_0_169, plain, (~empty(relation_dom(identity_relation(esk11_0)))), inference(etableau_closure_rule, [i_0_169, ...])). % 0.19/0.44 # End printing tableau % 0.19/0.44 # SZS output end % 0.19/0.44 # Branches closed with saturation will be marked with an "s" % 0.19/0.45 # Child (21933) has found a proof. % 0.19/0.45 % 0.19/0.45 # Proof search is over... % 0.19/0.45 # Freeing feature tree %------------------------------------------------------------------------------