%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0. % 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 : n023.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 09:03:59 EDT 2022 % Result : Unsatisfiable 0.21s 0.39s % Output : CNFRefutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0. % 0.04/0.15 % 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 : n023.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 : Tue Jun 14 14:21:50 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.39 # No SInE strategy applied % 0.21/0.39 # Auto-Mode selected heuristic U_____102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.21/0.39 # and selection function SelectComplexExceptUniqMaxHorn. % 0.21/0.39 # % 0.21/0.39 # Presaturation interreduction done % 0.21/0.39 # Number of axioms: 6 Number of unprocessed: 6 % 0.21/0.39 # Tableaux proof search. % 0.21/0.39 # APR header successfully linked. % 0.21/0.39 # Hello from C++ % 0.21/0.39 # The folding up rule is enabled... % 0.21/0.39 # Local unification is enabled... % 0.21/0.39 # Any saturation attempts will use folding labels... % 0.21/0.39 # 6 beginning clauses after preprocessing and clausification % 0.21/0.39 # Creating start rules for all 1 conjectures. % 0.21/0.39 # There are 1 start rule candidates: % 0.21/0.39 # Found 6 unit axioms. % 0.21/0.39 # 1 start rule tableaux created. % 0.21/0.39 # 0 extension rule candidate clauses % 0.21/0.39 # 6 unit axiom clauses % 0.21/0.39 % 0.21/0.39 # Requested 8, 32 cores available to the main process. % 0.21/0.39 # There are not enough tableaux to fork, creating more from the initial 1 % 0.21/0.39 # Creating equality axioms % 0.21/0.39 # Ran out of tableaux, making start rules for all clauses % 0.21/0.39 # Returning from population with 10 new_tableaux and 0 remaining starting tableaux. % 0.21/0.39 # We now have 10 tableaux to operate on % 0.21/0.39 # There were 1 total branch saturation attempts. % 0.21/0.39 # There were 0 of these attempts blocked. % 0.21/0.39 # There were 0 deferred branch saturation attempts. % 0.21/0.39 # There were 0 free duplicated saturations. % 0.21/0.39 # There were 1 total successful branch saturations. % 0.21/0.39 # There were 0 successful branch saturations in interreduction. % 0.21/0.39 # There were 0 successful branch saturations on the branch. % 0.21/0.39 # There were 1 successful branch saturations after the branch. % 0.21/0.39 # There were 1 total branch saturation attempts. % 0.21/0.39 # There were 0 of these attempts blocked. % 0.21/0.39 # There were 0 deferred branch saturation attempts. % 0.21/0.39 # There were 0 free duplicated saturations. % 0.21/0.39 # There were 1 total successful branch saturations. % 0.21/0.39 # There were 0 successful branch saturations in interreduction. % 0.21/0.39 # There were 0 successful branch saturations on the branch. % 0.21/0.39 # There were 1 successful branch saturations after the branch. % 0.21/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # Begin clausification derivation % 0.21/0.39 % 0.21/0.39 # End clausification derivation % 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.39 cnf(i_0_10, plain, (multiply(X1,identity)=X1)). % 0.21/0.39 cnf(i_0_7, plain, (multiply(identity,X1)=X1)). % 0.21/0.39 cnf(i_0_11, plain, (multiply(X1,inverse(X1))=identity)). % 0.21/0.39 cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)). % 0.21/0.39 cnf(i_0_9, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.21/0.39 cnf(i_0_12, negated_conjecture, (inverse(inverse(a))!=a)). % 0.21/0.39 cnf(i_0_14, plain, (X4=X4)). % 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.39 # Begin printing tableau % 0.21/0.39 # Found 5 steps % 0.21/0.39 cnf(i_0_10, plain, (multiply(X3,identity)=X3), inference(start_rule)). % 0.21/0.39 cnf(i_0_20, plain, (multiply(X3,identity)=X3), inference(extension_rule, [i_0_19])). % 0.21/0.39 cnf(i_0_37, plain, (inverse(multiply(X3,identity))=inverse(X3)), inference(extension_rule, [i_0_17])). % 0.21/0.39 cnf(i_0_45, plain, (inverse(X3)!=multiply(inverse(X3),identity)), inference(closure_rule, [i_0_10])). % 0.21/0.39 cnf(i_0_43, plain, (inverse(multiply(X3,identity))=multiply(inverse(X3),identity)), inference(etableau_closure_rule, [i_0_43, ...])). % 0.21/0.39 # End printing tableau % 0.21/0.39 # SZS output end % 0.21/0.39 # Branches closed with saturation will be marked with an "s" % 0.21/0.39 # There were 1 total branch saturation attempts. % 0.21/0.39 # There were 0 of these attempts blocked. % 0.21/0.39 # There were 0 deferred branch saturation attempts. % 0.21/0.39 # There were 0 free duplicated saturations. % 0.21/0.39 # There were 1 total successful branch saturations. % 0.21/0.39 # There were 0 successful branch saturations in interreduction. % 0.21/0.39 # There were 0 successful branch saturations on the branch. % 0.21/0.39 # There were 1 successful branch saturations after the branch. % 0.21/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # Begin clausification derivation % 0.21/0.39 % 0.21/0.39 # End clausification derivation % 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.39 cnf(i_0_10, plain, (multiply(X1,identity)=X1)). % 0.21/0.39 cnf(i_0_7, plain, (multiply(identity,X1)=X1)). % 0.21/0.39 cnf(i_0_11, plain, (multiply(X1,inverse(X1))=identity)). % 0.21/0.39 cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)). % 0.21/0.39 cnf(i_0_9, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.21/0.39 cnf(i_0_12, negated_conjecture, (inverse(inverse(a))!=a)). % 0.21/0.39 cnf(i_0_14, plain, (X4=X4)). % 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.39 # Begin printing tableau % 0.21/0.39 # Found 6 steps % 0.21/0.39 cnf(i_0_10, plain, (multiply(X7,identity)=X7), inference(start_rule)). % 0.21/0.39 cnf(i_0_20, plain, (multiply(X7,identity)=X7), inference(extension_rule, [i_0_18])). % 0.21/0.39 cnf(i_0_36, plain, (multiply(identity,identity)!=identity), inference(closure_rule, [i_0_10])). % 0.21/0.39 cnf(i_0_34, plain, (multiply(multiply(X7,identity),multiply(identity,identity))=multiply(X7,identity)), inference(extension_rule, [i_0_17])). % 0.21/0.39 cnf(i_0_45, plain, (multiply(X7,identity)!=X7), inference(closure_rule, [i_0_10])). % 0.21/0.39 cnf(i_0_43, plain, (multiply(multiply(X7,identity),multiply(identity,identity))=X7), inference(etableau_closure_rule, [i_0_43, ...])). % 0.21/0.39 # End printing tableau % 0.21/0.39 # SZS output end % 0.21/0.39 # Branches closed with saturation will be marked with an "s" % 0.21/0.39 # There were 1 total branch saturation attempts. % 0.21/0.39 # There were 0 of these attempts blocked. % 0.21/0.39 # There were 0 deferred branch saturation attempts. % 0.21/0.39 # There were 0 free duplicated saturations. % 0.21/0.39 # There were 1 total successful branch saturations. % 0.21/0.39 # There were 0 successful branch saturations in interreduction. % 0.21/0.39 # There were 0 successful branch saturations on the branch. % 0.21/0.39 # There were 1 successful branch saturations after the branch. % 0.21/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # Begin clausification derivation % 0.21/0.39 % 0.21/0.39 # End clausification derivation % 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.39 cnf(i_0_10, plain, (multiply(X1,identity)=X1)). % 0.21/0.39 cnf(i_0_7, plain, (multiply(identity,X1)=X1)). % 0.21/0.39 cnf(i_0_11, plain, (multiply(X1,inverse(X1))=identity)). % 0.21/0.39 cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)). % 0.21/0.39 cnf(i_0_9, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.21/0.39 cnf(i_0_12, negated_conjecture, (inverse(inverse(a))!=a)). % 0.21/0.39 cnf(i_0_14, plain, (X4=X4)). % 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.39 # Begin printing tableau % 0.21/0.39 # Found 6 steps % 0.21/0.39 cnf(i_0_10, plain, (multiply(a,identity)=a), inference(start_rule)). % 0.21/0.39 cnf(i_0_20, plain, (multiply(a,identity)=a), inference(extension_rule, [i_0_17])). % 0.21/0.39 cnf(i_0_31, plain, (inverse(inverse(a))=a), inference(closure_rule, [i_0_12])). % 0.21/0.39 cnf(i_0_32, plain, (inverse(inverse(a))!=multiply(a,identity)), inference(extension_rule, [i_0_17])). % 0.21/0.39 cnf(i_0_44, plain, (inverse(inverse(a))!=multiply(inverse(inverse(a)),identity)), inference(closure_rule, [i_0_10])). % 0.21/0.39 cnf(i_0_45, plain, (multiply(inverse(inverse(a)),identity)!=multiply(a,identity)), inference(etableau_closure_rule, [i_0_45, ...])). % 0.21/0.39 # End printing tableau % 0.21/0.39 # SZS output end % 0.21/0.39 # Branches closed with saturation will be marked with an "s" % 0.21/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # Begin clausification derivation % 0.21/0.39 % 0.21/0.39 # End clausification derivation % 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.39 cnf(i_0_10, plain, (multiply(X1,identity)=X1)). % 0.21/0.39 cnf(i_0_7, plain, (multiply(identity,X1)=X1)). % 0.21/0.39 cnf(i_0_11, plain, (multiply(X1,inverse(X1))=identity)). % 0.21/0.39 cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)). % 0.21/0.39 cnf(i_0_9, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.21/0.39 cnf(i_0_12, negated_conjecture, (inverse(inverse(a))!=a)). % 0.21/0.39 cnf(i_0_14, plain, (X4=X4)). % 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.39 # Begin printing tableau % 0.21/0.39 # Found 6 steps % 0.21/0.39 cnf(i_0_10, plain, (multiply(identity,identity)=identity), inference(start_rule)). % 0.21/0.39 cnf(i_0_20, plain, (multiply(identity,identity)=identity), inference(extension_rule, [i_0_18])). % 0.21/0.39 cnf(i_0_35, plain, (multiply(X7,identity)!=X7), inference(closure_rule, [i_0_10])). % 0.21/0.39 cnf(i_0_34, plain, (multiply(multiply(X7,identity),multiply(identity,identity))=multiply(X7,identity)), inference(extension_rule, [i_0_17])). % 0.21/0.39 cnf(i_0_45, plain, (multiply(X7,identity)!=X7), inference(closure_rule, [i_0_10])). % 0.21/0.39 cnf(i_0_43, plain, (multiply(multiply(X7,identity),multiply(identity,identity))=X7), inference(etableau_closure_rule, [i_0_43, ...])). % 0.21/0.39 # End printing tableau % 0.21/0.39 # SZS output end % 0.21/0.39 # Branches closed with saturation will be marked with an "s" % 0.21/0.39 # There were 1 total branch saturation attempts. % 0.21/0.39 # There were 0 of these attempts blocked. % 0.21/0.39 # There were 0 deferred branch saturation attempts. % 0.21/0.39 # There were 0 free duplicated saturations. % 0.21/0.39 # There were 1 total successful branch saturations. % 0.21/0.39 # There were 0 successful branch saturations in interreduction. % 0.21/0.39 # There were 0 successful branch saturations on the branch. % 0.21/0.39 # There were 1 successful branch saturations after the branch. % 0.21/0.39 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.39 # Begin clausification derivation % 0.21/0.39 % 0.21/0.39 # End clausification derivation % 0.21/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.39 cnf(i_0_10, plain, (multiply(X1,identity)=X1)). % 0.21/0.39 cnf(i_0_7, plain, (multiply(identity,X1)=X1)). % 0.21/0.39 cnf(i_0_11, plain, (multiply(X1,inverse(X1))=identity)). % 0.21/0.39 cnf(i_0_8, plain, (multiply(inverse(X1),X1)=identity)). % 0.21/0.39 cnf(i_0_9, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.21/0.39 cnf(i_0_12, negated_conjecture, (inverse(inverse(a))!=a)). % 0.21/0.39 cnf(i_0_14, plain, (X4=X4)). % 0.21/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.39 # Begin printing tableau % 0.21/0.39 # Found 6 steps % 0.21/0.39 cnf(i_0_7, plain, (multiply(identity,a)=a), inference(start_rule)). % 0.21/0.39 cnf(i_0_21, plain, (multiply(identity,a)=a), inference(extension_rule, [i_0_17])). % 0.21/0.39 cnf(i_0_43, plain, (inverse(inverse(a))=a), inference(closure_rule, [i_0_12])). % 0.21/0.39 cnf(i_0_44, plain, (inverse(inverse(a))!=multiply(identity,a)), inference(extension_rule, [i_0_17])). % 0.21/0.39 cnf(i_0_56, plain, (inverse(inverse(a))!=multiply(inverse(inverse(a)),identity)), inference(closure_rule, [i_0_10])). % 0.21/0.39 cnf(i_0_57, plain, (multiply(inverse(inverse(a)),identity)!=multiply(identity,a)), inference(etableau_closure_rule, [i_0_57, ...])). % 0.21/0.39 # End printing tableau % 0.21/0.39 # SZS output end % 0.21/0.39 # Branches closed with saturation will be marked with an "s" % 0.21/0.39 # Child (15516) has found a proof. % 0.21/0.39 % 0.21/0.39 # There were 1 total branch saturation attempts. % 0.21/0.39 # There were 0 of these attempts blocked. % 0.21/0.39 # There were 0 deferred branch saturation attempts. % 0.21/0.39 # There were 0 free duplicated saturations. % 0.21/0.39 # There were 1 total successful branch saturations. % 0.21/0.39 # There were 0 successful branch saturations in interreduction. % 0.21/0.39 # There were 0 successful branch saturations on the branch. % 0.21/0.39 # There were 1 successful branch saturations after the branch. % 0.21/0.39 # Proof search is over... % 0.21/0.39 # Freeing feature tree %------------------------------------------------------------------------------