%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP398-3 : TPTP v8.1.0. Released v2.5.0. % 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 : n004.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 : Sat Jul 16 09:06:18 EDT 2022 % Result : Satisfiable 0.13s 0.38s % Output : CNFRefutation 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : GRP398-3 : TPTP v8.1.0. Released v2.5.0. % 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.34 % Computer : n004.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 14 11:03:09 EDT 2022 % 0.13/0.35 % CPUTime : % 0.13/0.37 # No SInE strategy applied % 0.13/0.37 # Auto-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I % 0.13/0.37 # and selection function SelectCQArEqLast. % 0.13/0.37 # % 0.13/0.37 # Presaturation interreduction done % 0.13/0.37 # Number of axioms: 5 Number of unprocessed: 5 % 0.13/0.37 # Tableaux proof search. % 0.13/0.37 # APR header successfully linked. % 0.13/0.37 # Hello from C++ % 0.13/0.37 # The folding up rule is enabled... % 0.13/0.37 # Local unification is enabled... % 0.13/0.37 # Any saturation attempts will use folding labels... % 0.13/0.37 # 5 beginning clauses after preprocessing and clausification % 0.13/0.37 # No conjectures after preprocessing. Attempting to resurrect them from ax_archive. % 0.13/0.37 # No conjectures. % 0.13/0.37 # There are 5 start rule candidates: % 0.13/0.37 # Found 3 unit axioms. % 0.13/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.13/0.37 # 5 start rule tableaux created. % 0.13/0.37 # 2 extension rule candidate clauses % 0.13/0.37 # 3 unit axiom clauses % 0.13/0.37 % 0.13/0.37 # Requested 8, 32 cores available to the main process. % 0.13/0.37 # There are not enough tableaux to fork, creating more from the initial 5 % 0.13/0.37 # Returning from population with 8 new_tableaux and 0 remaining starting tableaux. % 0.13/0.37 # We now have 8 tableaux to operate on % 0.13/0.38 # Creating equality axioms % 0.13/0.38 # Ran out of tableaux, making start rules for all clauses % 0.13/0.38 # 22469 Satisfiable branch % 0.13/0.38 # Creating equality axioms % 0.13/0.38 # Ran out of tableaux, making start rules for all clauses % 0.13/0.38 # 22472 Satisfiable branch % 0.13/0.38 # Satisfiable branch found. % 0.13/0.38 # There were 1 total branch saturation attempts. % 0.13/0.38 # There were 0 of these attempts blocked. % 0.13/0.38 # There were 0 deferred branch saturation attempts. % 0.13/0.38 # There were 0 free duplicated saturations. % 0.13/0.38 # There were 0 total successful branch saturations. % 0.13/0.38 # There were 0 successful branch saturations in interreduction. % 0.13/0.38 # There were 0 successful branch saturations on the branch. % 0.13/0.38 # There were 0 successful branch saturations after the branch. % 0.13/0.38 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.38 # Begin clausification derivation % 0.13/0.38 % 0.13/0.38 # End clausification derivation % 0.13/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.13/0.38 cnf(i_0_6, plain, (multiply(identity,X1)=X1)). % 0.13/0.38 cnf(i_0_7, plain, (multiply(inverse(X1),X1)=identity)). % 0.13/0.38 cnf(i_0_8, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.13/0.38 cnf(i_0_9, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))). % 0.13/0.38 cnf(i_0_10, plain, (subgroup_member(X1)|multiply(X2,X3)!=X1|~subgroup_member(X3)|~subgroup_member(X2))). % 0.13/0.38 cnf(i_0_208, plain, (X4=X4)). % 0.13/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.13/0.38 # Begin printing tableau % 0.13/0.38 # Found 5 steps % 0.13/0.38 cnf(i_0_208, plain, (identity=identity), inference(start_rule)). % 0.13/0.38 cnf(i_0_224, plain, (identity=identity), inference(extension_rule, [i_0_212])). % 0.13/0.38 cnf(i_0_661, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])). % 0.13/0.38 cnf(i_0_659, plain, (multiply(identity,multiply(identity,X7))=multiply(identity,X7)), inference(extension_rule, [i_0_211])). % 0.13/0.38 cnf(i_0_668, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])). % 0.13/0.38 # End printing tableau % 0.13/0.38 # SZS output end % 0.13/0.38 # Branches closed with saturation will be marked with an "s" % 0.13/0.38 # Creating equality axioms % 0.13/0.38 # Ran out of tableaux, making start rules for all clauses % 0.13/0.38 # 22475 Satisfiable branch % 0.13/0.38 # Creating equality axioms % 0.13/0.38 # Ran out of tableaux, making start rules for all clauses % 0.13/0.38 # 22474 Satisfiable branch % 0.13/0.38 # Satisfiable branch found. % 0.13/0.38 # There were 1 total branch saturation attempts. % 0.13/0.38 # There were 0 of these attempts blocked. % 0.13/0.38 # There were 0 deferred branch saturation attempts. % 0.13/0.38 # There were 0 free duplicated saturations. % 0.13/0.38 # There were 0 total successful branch saturations. % 0.13/0.38 # There were 0 successful branch saturations in interreduction. % 0.13/0.38 # There were 0 successful branch saturations on the branch. % 0.13/0.38 # There were 0 successful branch saturations after the branch. % 0.13/0.38 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.38 # Begin clausification derivation % 0.13/0.38 % 0.13/0.38 # End clausification derivation % 0.13/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.13/0.38 cnf(i_0_6, plain, (multiply(identity,X1)=X1)). % 0.13/0.38 cnf(i_0_7, plain, (multiply(inverse(X1),X1)=identity)). % 0.13/0.38 cnf(i_0_8, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.13/0.38 cnf(i_0_9, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))). % 0.13/0.38 cnf(i_0_10, plain, (subgroup_member(X1)|multiply(X2,X3)!=X1|~subgroup_member(X3)|~subgroup_member(X2))). % 0.13/0.38 cnf(i_0_62, plain, (X4=X4)). % 0.13/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.13/0.38 # Begin printing tableau % 0.13/0.38 # Found 5 steps % 0.13/0.38 cnf(i_0_62, plain, (identity=identity), inference(start_rule)). % 0.13/0.38 cnf(i_0_78, plain, (identity=identity), inference(extension_rule, [i_0_66])). % 0.13/0.38 cnf(i_0_517, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])). % 0.13/0.38 cnf(i_0_515, plain, (multiply(identity,multiply(identity,X7))=multiply(identity,X7)), inference(extension_rule, [i_0_65])). % 0.13/0.38 cnf(i_0_524, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])). % 0.13/0.38 # End printing tableau % 0.13/0.38 # SZS output end % 0.13/0.38 # Branches closed with saturation will be marked with an "s" % 0.13/0.38 # Satisfiable branch found. % 0.13/0.38 # There were 1 total branch saturation attempts. % 0.13/0.38 # There were 0 of these attempts blocked. % 0.13/0.38 # There were 0 deferred branch saturation attempts. % 0.13/0.38 # There were 0 free duplicated saturations. % 0.13/0.38 # There were 0 total successful branch saturations. % 0.13/0.38 # There were 0 successful branch saturations in interreduction. % 0.13/0.38 # There were 0 successful branch saturations on the branch. % 0.13/0.38 # There were 0 successful branch saturations after the branch. % 0.13/0.38 # Satisfiable branch found. % 0.13/0.38 # There were 1 total branch saturation attempts. % 0.13/0.38 # There were 0 of these attempts blocked. % 0.13/0.38 # There were 0 deferred branch saturation attempts. % 0.13/0.38 # There were 0 free duplicated saturations. % 0.13/0.38 # There were 0 total successful branch saturations. % 0.13/0.38 # There were 0 successful branch saturations in interreduction. % 0.13/0.38 # There were 0 successful branch saturations on the branch. % 0.13/0.38 # There were 0 successful branch saturations after the branch. % 0.13/0.38 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.38 # Begin clausification derivation % 0.13/0.38 % 0.13/0.38 # End clausification derivation % 0.13/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.13/0.38 cnf(i_0_6, plain, (multiply(identity,X1)=X1)). % 0.13/0.38 cnf(i_0_7, plain, (multiply(inverse(X1),X1)=identity)). % 0.13/0.38 cnf(i_0_8, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.13/0.38 cnf(i_0_9, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))). % 0.13/0.38 cnf(i_0_10, plain, (subgroup_member(X1)|multiply(X2,X3)!=X1|~subgroup_member(X3)|~subgroup_member(X2))). % 0.13/0.38 cnf(i_0_166, plain, (X4=X4)). % 0.13/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.13/0.38 # Begin printing tableau % 0.13/0.38 # Found 5 steps % 0.13/0.38 cnf(i_0_166, plain, (identity=identity), inference(start_rule)). % 0.13/0.38 cnf(i_0_182, plain, (identity=identity), inference(extension_rule, [i_0_170])). % 0.13/0.38 cnf(i_0_619, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])). % 0.13/0.38 cnf(i_0_617, plain, (multiply(identity,multiply(identity,X7))=multiply(identity,X7)), inference(extension_rule, [i_0_169])). % 0.13/0.38 cnf(i_0_626, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])). % 0.13/0.38 # End printing tableau % 0.13/0.38 # SZS output end % 0.13/0.38 # Branches closed with saturation will be marked with an "s" % 0.13/0.38 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.38 # Begin clausification derivation % 0.13/0.38 % 0.13/0.38 # End clausification derivation % 0.13/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.13/0.38 cnf(i_0_6, plain, (multiply(identity,X1)=X1)). % 0.13/0.38 cnf(i_0_7, plain, (multiply(inverse(X1),X1)=identity)). % 0.13/0.38 cnf(i_0_8, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.13/0.38 cnf(i_0_9, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))). % 0.13/0.38 cnf(i_0_10, plain, (subgroup_member(X1)|multiply(X2,X3)!=X1|~subgroup_member(X3)|~subgroup_member(X2))). % 0.13/0.38 cnf(i_0_166, plain, (X4=X4)). % 0.13/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.13/0.38 # Begin printing tableau % 0.13/0.38 # Found 5 steps % 0.13/0.38 cnf(i_0_166, plain, (identity=identity), inference(start_rule)). % 0.13/0.38 cnf(i_0_182, plain, (identity=identity), inference(extension_rule, [i_0_170])). % 0.13/0.38 cnf(i_0_619, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])). % 0.13/0.38 cnf(i_0_617, plain, (multiply(identity,multiply(identity,X7))=multiply(identity,X7)), inference(extension_rule, [i_0_169])). % 0.13/0.38 cnf(i_0_626, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])). % 0.13/0.38 # End printing tableau % 0.13/0.38 # SZS output end % 0.13/0.38 # Branches closed with saturation will be marked with an "s" % 0.13/0.38 # Child (22469) has found a proof. % 0.13/0.38 % 0.13/0.38 # Proof search is over... % 0.13/0.38 # Freeing feature tree %------------------------------------------------------------------------------