%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0. % 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 : n011.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 : Mon Jul 18 09:46:06 EDT 2022 % Result : Theorem 0.21s 0.40s % Output : CNFRefutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0. % 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 : n011.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 : Thu Jul 7 03:22:08 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.39 # No SInE strategy applied % 0.21/0.39 # Auto-Mode selected heuristic G_E___208_C18_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: 15 Number of unprocessed: 7 % 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 # 7 beginning clauses after preprocessing and clausification % 0.21/0.39 # Creating start rules for all 2 conjectures. % 0.21/0.39 # There are 2 start rule candidates: % 0.21/0.39 # Found 6 unit axioms. % 0.21/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.21/0.39 # 2 start rule tableaux created. % 0.21/0.39 # 1 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 2 % 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 12 new_tableaux and 0 remaining starting tableaux. % 0.21/0.39 # We now have 12 tableaux to operate on % 0.21/0.40 # There were 1 total branch saturation attempts. % 0.21/0.40 # There were 0 of these attempts blocked. % 0.21/0.40 # There were 0 deferred branch saturation attempts. % 0.21/0.40 # There were 0 free duplicated saturations. % 0.21/0.40 # There were 1 total successful branch saturations. % 0.21/0.40 # There were 0 successful branch saturations in interreduction. % 0.21/0.40 # There were 0 successful branch saturations on the branch. % 0.21/0.40 # There were 1 successful branch saturations after the branch. % 0.21/0.40 # There were 1 total branch saturation attempts. % 0.21/0.40 # There were 0 of these attempts blocked. % 0.21/0.40 # There were 0 deferred branch saturation attempts. % 0.21/0.40 # There were 0 free duplicated saturations. % 0.21/0.40 # There were 1 total successful branch saturations. % 0.21/0.40 # There were 0 successful branch saturations in interreduction. % 0.21/0.40 # There were 0 successful branch saturations on the branch. % 0.21/0.40 # There were 1 successful branch saturations after the branch. % 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # Begin clausification derivation % 0.21/0.40 % 0.21/0.40 # End clausification derivation % 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)). % 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))). % 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))). % 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))). % 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))). % 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))). % 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))). % 0.21/0.40 cnf(i_0_27, plain, (X32=X32)). % 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.40 # Begin printing tableau % 0.21/0.40 # Found 6 steps % 0.21/0.40 cnf(i_0_12, plain, (vmul(X5,v1)=X5), inference(start_rule)). % 0.21/0.40 cnf(i_0_33, plain, (vmul(X5,v1)=X5), inference(extension_rule, [i_0_32])). % 0.21/0.40 cnf(i_0_55, plain, (vmul(X3,v1)!=X3), inference(closure_rule, [i_0_12])). % 0.21/0.40 cnf(i_0_54, plain, (vplus(vmul(X3,v1),vmul(X5,v1))=vplus(X3,X5)), inference(extension_rule, [i_0_30])). % 0.21/0.40 cnf(i_0_65, plain, (vplus(X3,X5)!=vmul(vplus(X3,X5),v1)), inference(closure_rule, [i_0_12])). % 0.21/0.40 cnf(i_0_63, plain, (vplus(vmul(X3,v1),vmul(X5,v1))=vmul(vplus(X3,X5),v1)), inference(etableau_closure_rule, [i_0_63, ...])). % 0.21/0.40 # End printing tableau % 0.21/0.40 # SZS output end % 0.21/0.40 # Branches closed with saturation will be marked with an "s" % 0.21/0.40 # There were 1 total branch saturation attempts. % 0.21/0.40 # There were 0 of these attempts blocked. % 0.21/0.40 # There were 0 deferred branch saturation attempts. % 0.21/0.40 # There were 0 free duplicated saturations. % 0.21/0.40 # There were 1 total successful branch saturations. % 0.21/0.40 # There were 0 successful branch saturations in interreduction. % 0.21/0.40 # There were 0 successful branch saturations on the branch. % 0.21/0.40 # There were 1 successful branch saturations after the branch. % 0.21/0.40 # There were 1 total branch saturation attempts. % 0.21/0.40 # There were 0 of these attempts blocked. % 0.21/0.40 # There were 0 deferred branch saturation attempts. % 0.21/0.40 # There were 0 free duplicated saturations. % 0.21/0.40 # There were 1 total successful branch saturations. % 0.21/0.40 # There were 0 successful branch saturations in interreduction. % 0.21/0.40 # There were 0 successful branch saturations on the branch. % 0.21/0.40 # There were 1 successful branch saturations after the branch. % 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # Begin clausification derivation % 0.21/0.40 % 0.21/0.40 # End clausification derivation % 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)). % 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))). % 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))). % 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))). % 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))). % 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))). % 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))). % 0.21/0.40 cnf(i_0_27, plain, (X32=X32)). % 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.40 # Begin printing tableau % 0.21/0.40 # Found 6 steps % 0.21/0.40 cnf(i_0_12, plain, (vmul(X3,v1)=X3), inference(start_rule)). % 0.21/0.40 cnf(i_0_33, plain, (vmul(X3,v1)=X3), inference(extension_rule, [i_0_32])). % 0.21/0.40 cnf(i_0_56, plain, (vmul(X5,v1)!=X5), inference(closure_rule, [i_0_12])). % 0.21/0.40 cnf(i_0_54, plain, (vplus(vmul(X3,v1),vmul(X5,v1))=vplus(X3,X5)), inference(extension_rule, [i_0_30])). % 0.21/0.40 cnf(i_0_65, plain, (vplus(X3,X5)!=vmul(vplus(X3,X5),v1)), inference(closure_rule, [i_0_12])). % 0.21/0.40 cnf(i_0_63, plain, (vplus(vmul(X3,v1),vmul(X5,v1))=vmul(vplus(X3,X5),v1)), inference(etableau_closure_rule, [i_0_63, ...])). % 0.21/0.40 # End printing tableau % 0.21/0.40 # SZS output end % 0.21/0.40 # Branches closed with saturation will be marked with an "s" % 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # Begin clausification derivation % 0.21/0.40 % 0.21/0.40 # End clausification derivation % 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)). % 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))). % 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))). % 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))). % 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))). % 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))). % 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))). % 0.21/0.40 cnf(i_0_27, plain, (X32=X32)). % 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.40 # Begin printing tableau % 0.21/0.40 # Found 6 steps % 0.21/0.40 cnf(i_0_14, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))=vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1)), inference(start_rule)). % 0.21/0.40 cnf(i_0_36, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))=vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1)), inference(extension_rule, [i_0_30])). % 0.21/0.40 cnf(i_0_63, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(closure_rule, [i_0_1])). % 0.21/0.40 cnf(i_0_65, plain, (vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1)!=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(extension_rule, [i_0_30])). % 0.21/0.40 cnf(i_0_79, plain, (vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1)!=vmul(vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1),v1)), inference(closure_rule, [i_0_12])). % 0.21/0.40 cnf(i_0_80, plain, (vmul(vplus(vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))),v1),v1)!=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(etableau_closure_rule, [i_0_80, ...])). % 0.21/0.40 # End printing tableau % 0.21/0.40 # SZS output end % 0.21/0.40 # Branches closed with saturation will be marked with an "s" % 0.21/0.40 # There were 1 total branch saturation attempts. % 0.21/0.40 # There were 0 of these attempts blocked. % 0.21/0.40 # There were 0 deferred branch saturation attempts. % 0.21/0.40 # There were 0 free duplicated saturations. % 0.21/0.40 # There were 1 total successful branch saturations. % 0.21/0.40 # There were 0 successful branch saturations in interreduction. % 0.21/0.40 # There were 0 successful branch saturations on the branch. % 0.21/0.40 # There were 1 successful branch saturations after the branch. % 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # Begin clausification derivation % 0.21/0.40 % 0.21/0.40 # End clausification derivation % 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)). % 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))). % 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))). % 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))). % 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))). % 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))). % 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))). % 0.21/0.40 cnf(i_0_27, plain, (X32=X32)). % 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.40 # Begin printing tableau % 0.21/0.40 # Found 6 steps % 0.21/0.40 cnf(i_0_12, plain, (vmul(X4,v1)=X4), inference(start_rule)). % 0.21/0.40 cnf(i_0_33, plain, (vmul(X4,v1)=X4), inference(extension_rule, [i_0_31])). % 0.21/0.40 cnf(i_0_53, plain, (vmul(v1,v1)!=v1), inference(closure_rule, [i_0_12])). % 0.21/0.40 cnf(i_0_51, plain, (vmul(vmul(X4,v1),vmul(v1,v1))=vmul(X4,v1)), inference(extension_rule, [i_0_30])). % 0.21/0.40 cnf(i_0_65, plain, (vmul(X4,v1)!=X4), inference(closure_rule, [i_0_12])). % 0.21/0.40 cnf(i_0_63, plain, (vmul(vmul(X4,v1),vmul(v1,v1))=X4), inference(etableau_closure_rule, [i_0_63, ...])). % 0.21/0.40 # End printing tableau % 0.21/0.40 # SZS output end % 0.21/0.40 # Branches closed with saturation will be marked with an "s" % 0.21/0.40 # There were 1 total branch saturation attempts. % 0.21/0.40 # There were 0 of these attempts blocked. % 0.21/0.40 # There were 0 deferred branch saturation attempts. % 0.21/0.40 # There were 0 free duplicated saturations. % 0.21/0.40 # There were 1 total successful branch saturations. % 0.21/0.40 # There were 0 successful branch saturations in interreduction. % 0.21/0.40 # There were 0 successful branch saturations on the branch. % 0.21/0.40 # There were 1 successful branch saturations after the branch. % 0.21/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.21/0.40 # Begin clausification derivation % 0.21/0.40 % 0.21/0.40 # End clausification derivation % 0.21/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.40 cnf(i_0_12, plain, (vmul(X1,v1)=X1)). % 0.21/0.40 cnf(i_0_2, negated_conjecture, (vmul(vplus(vd411,v1),esk1_0)=vplus(esk1_0,vmul(vd411,esk1_0)))). % 0.21/0.40 cnf(i_0_16, plain, (vplus(vplus(X1,X2),X3)=vplus(X1,vplus(X2,X3)))). % 0.21/0.40 cnf(i_0_14, plain, (vplus(X1,X2)=vplus(X2,X1))). % 0.21/0.40 cnf(i_0_13, plain, (vmul(X1,vplus(X2,v1))=vplus(X1,vmul(X1,X2)))). % 0.21/0.40 cnf(i_0_1, negated_conjecture, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(vd411,v1),vplus(v1,esk1_0)))). % 0.21/0.40 cnf(i_0_10, plain, (vplus(vd411,vplus(v1,vmul(vplus(vd411,v1),X1)))=vmul(vplus(vd411,v1),vplus(X1,v1))|vmul(vplus(vd411,v1),X1)!=vplus(X1,vmul(vd411,X1)))). % 0.21/0.40 cnf(i_0_27, plain, (X32=X32)). % 0.21/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.40 # Begin printing tableau % 0.21/0.40 # Found 6 steps % 0.21/0.40 cnf(i_0_12, plain, (vmul(vmul(vplus(vd411,v1),vplus(v1,esk1_0)),v1)=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(start_rule)). % 0.21/0.40 cnf(i_0_33, plain, (vmul(vmul(vplus(vd411,v1),vplus(v1,esk1_0)),v1)=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(extension_rule, [i_0_30])). % 0.21/0.40 cnf(i_0_48, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))=vmul(vplus(vd411,v1),vplus(v1,esk1_0))), inference(closure_rule, [i_0_1])). % 0.21/0.40 cnf(i_0_49, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vmul(vplus(vd411,v1),vplus(v1,esk1_0)),v1)), inference(extension_rule, [i_0_30])). % 0.21/0.40 cnf(i_0_64, plain, (vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0))))!=vmul(vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0)))),v1)), inference(closure_rule, [i_0_12])). % 0.21/0.40 cnf(i_0_65, plain, (vmul(vplus(v1,vplus(esk1_0,vmul(vd411,vplus(v1,esk1_0)))),v1)!=vmul(vmul(vplus(vd411,v1),vplus(v1,esk1_0)),v1)), inference(etableau_closure_rule, [i_0_65, ...])). % 0.21/0.40 # End printing tableau % 0.21/0.40 # SZS output end % 0.21/0.40 # Branches closed with saturation will be marked with an "s" % 0.21/0.40 # Child (11984) has found a proof. % 0.21/0.40 % 0.21/0.40 # Proof search is over... % 0.21/0.40 # Freeing feature tree %------------------------------------------------------------------------------