%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP214-1 : 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 : n005.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 09:05:29 EDT 2022 % Result : Unsatisfiable 0.19s 0.43s % Output : CNFRefutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP214-1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.33 % Computer : n005.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % 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 : Mon Jun 13 07:57:09 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.36 # No SInE strategy applied % 0.19/0.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.19/0.36 # and selection function SelectComplexExceptUniqMaxHorn. % 0.19/0.36 # % 0.19/0.36 # Presaturation interreduction done % 0.19/0.36 # Number of axioms: 16 Number of unprocessed: 16 % 0.19/0.36 # Tableaux proof search. % 0.19/0.36 # APR header successfully linked. % 0.19/0.36 # Hello from C++ % 0.19/0.36 # The folding up rule is enabled... % 0.19/0.36 # Local unification is enabled... % 0.19/0.36 # Any saturation attempts will use folding labels... % 0.19/0.36 # 16 beginning clauses after preprocessing and clausification % 0.19/0.36 # Creating start rules for all 13 conjectures. % 0.19/0.36 # There are 13 start rule candidates: % 0.19/0.36 # Found 3 unit axioms. % 0.19/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.19/0.36 # 13 start rule tableaux created. % 0.19/0.36 # 13 extension rule candidate clauses % 0.19/0.36 # 3 unit axiom clauses % 0.19/0.36 % 0.19/0.36 # Requested 8, 32 cores available to the main process. % 0.19/0.42 # Creating equality axioms % 0.19/0.42 # Ran out of tableaux, making start rules for all clauses % 0.19/0.42 # Creating equality axioms % 0.19/0.42 # Ran out of tableaux, making start rules for all clauses % 0.19/0.42 # Creating equality axioms % 0.19/0.42 # Ran out of tableaux, making start rules for all clauses % 0.19/0.42 # Creating equality axioms % 0.19/0.42 # Ran out of tableaux, making start rules for all clauses % 0.19/0.42 # Creating equality axioms % 0.19/0.42 # Ran out of tableaux, making start rules for all clauses % 0.19/0.43 # There were 1 total branch saturation attempts. % 0.19/0.43 # There were 0 of these attempts blocked. % 0.19/0.43 # There were 0 deferred branch saturation attempts. % 0.19/0.43 # There were 0 free duplicated saturations. % 0.19/0.43 # There were 1 total successful branch saturations. % 0.19/0.43 # There were 0 successful branch saturations in interreduction. % 0.19/0.43 # There were 0 successful branch saturations on the branch. % 0.19/0.43 # There were 1 successful branch saturations after the branch. % 0.19/0.43 # Creating equality axioms % 0.19/0.43 # Ran out of tableaux, making start rules for all clauses % 0.19/0.43 # There were 1 total branch saturation attempts. % 0.19/0.43 # There were 0 of these attempts blocked. % 0.19/0.43 # There were 0 deferred branch saturation attempts. % 0.19/0.43 # There were 0 free duplicated saturations. % 0.19/0.43 # There were 1 total successful branch saturations. % 0.19/0.43 # There were 0 successful branch saturations in interreduction. % 0.19/0.43 # There were 0 successful branch saturations on the branch. % 0.19/0.43 # There were 1 successful branch saturations after the branch. % 0.19/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # Begin clausification derivation % 0.19/0.43 % 0.19/0.43 # End clausification derivation % 0.19/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.43 cnf(i_0_17, plain, (multiply(identity,X1)=X1)). % 0.19/0.43 cnf(i_0_18, plain, (multiply(inverse(X1),X1)=identity)). % 0.19/0.43 cnf(i_0_19, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.19/0.43 cnf(i_0_25, negated_conjecture, (inverse(sk_c3)=sk_c7|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_27, negated_conjecture, (inverse(sk_c4)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_24, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_26, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_21, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_29, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_23, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_31, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_20, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_22, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_28, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_30, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_32, negated_conjecture, (multiply(X1,multiply(X2,sk_c7))!=sk_c6|inverse(X1)!=multiply(X2,sk_c7)|multiply(X3,sk_c7)!=sk_c6|multiply(sk_c7,X4)!=sk_c6|inverse(X2)!=sk_c7|inverse(X3)!=sk_c7)). % 0.19/0.43 cnf(i_0_124, plain, (X6=X6)). % 0.19/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.43 # Begin printing tableau % 0.19/0.43 # Found 6 steps % 0.19/0.43 cnf(i_0_124, plain, (identity=identity), inference(start_rule)). % 0.19/0.43 cnf(i_0_163, plain, (identity=identity), inference(extension_rule, [i_0_128])). % 0.19/0.43 cnf(i_0_203, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_201, plain, (multiply(identity,multiply(identity,X5))=multiply(identity,X5)), inference(extension_rule, [i_0_127])). % 0.19/0.43 cnf(i_0_240, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_238, plain, (multiply(identity,multiply(identity,X5))=X5), inference(etableau_closure_rule, [i_0_238, ...])). % 0.19/0.43 # End printing tableau % 0.19/0.43 # SZS output end % 0.19/0.43 # Branches closed with saturation will be marked with an "s" % 0.19/0.43 # There were 1 total branch saturation attempts. % 0.19/0.43 # There were 0 of these attempts blocked. % 0.19/0.43 # There were 0 deferred branch saturation attempts. % 0.19/0.43 # There were 0 free duplicated saturations. % 0.19/0.43 # There were 1 total successful branch saturations. % 0.19/0.43 # There were 0 successful branch saturations in interreduction. % 0.19/0.43 # There were 0 successful branch saturations on the branch. % 0.19/0.43 # There were 1 successful branch saturations after the branch. % 0.19/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # Begin clausification derivation % 0.19/0.43 % 0.19/0.43 # End clausification derivation % 0.19/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.43 cnf(i_0_17, plain, (multiply(identity,X1)=X1)). % 0.19/0.43 cnf(i_0_18, plain, (multiply(inverse(X1),X1)=identity)). % 0.19/0.43 cnf(i_0_19, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.19/0.43 cnf(i_0_25, negated_conjecture, (inverse(sk_c3)=sk_c7|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_27, negated_conjecture, (inverse(sk_c4)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_24, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_26, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_21, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_29, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_23, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_31, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_20, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_22, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_28, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_30, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_32, negated_conjecture, (multiply(X1,multiply(X2,sk_c7))!=sk_c6|inverse(X1)!=multiply(X2,sk_c7)|multiply(X3,sk_c7)!=sk_c6|multiply(sk_c7,X4)!=sk_c6|inverse(X2)!=sk_c7|inverse(X3)!=sk_c7)). % 0.19/0.43 cnf(i_0_124, plain, (X6=X6)). % 0.19/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.43 # Begin printing tableau % 0.19/0.43 # Found 6 steps % 0.19/0.43 cnf(i_0_124, plain, (identity=identity), inference(start_rule)). % 0.19/0.43 cnf(i_0_163, plain, (identity=identity), inference(extension_rule, [i_0_128])). % 0.19/0.43 cnf(i_0_203, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_201, plain, (multiply(identity,multiply(identity,X5))=multiply(identity,X5)), inference(extension_rule, [i_0_127])). % 0.19/0.43 cnf(i_0_240, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_238, plain, (multiply(identity,multiply(identity,X5))=X5), inference(etableau_closure_rule, [i_0_238, ...])). % 0.19/0.43 # End printing tableau % 0.19/0.43 # SZS output end % 0.19/0.43 # Branches closed with saturation will be marked with an "s" % 0.19/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # Begin clausification derivation % 0.19/0.43 % 0.19/0.43 # End clausification derivation % 0.19/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.43 cnf(i_0_17, plain, (multiply(identity,X1)=X1)). % 0.19/0.43 cnf(i_0_18, plain, (multiply(inverse(X1),X1)=identity)). % 0.19/0.43 cnf(i_0_19, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.19/0.43 cnf(i_0_25, negated_conjecture, (inverse(sk_c3)=sk_c7|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_27, negated_conjecture, (inverse(sk_c4)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_24, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_26, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_21, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_29, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_23, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_31, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_20, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_22, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_28, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_30, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_32, negated_conjecture, (multiply(X1,multiply(X2,sk_c7))!=sk_c6|inverse(X1)!=multiply(X2,sk_c7)|multiply(X3,sk_c7)!=sk_c6|multiply(sk_c7,X4)!=sk_c6|inverse(X2)!=sk_c7|inverse(X3)!=sk_c7)). % 0.19/0.43 cnf(i_0_124, plain, (X6=X6)). % 0.19/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.43 # Begin printing tableau % 0.19/0.43 # Found 6 steps % 0.19/0.43 cnf(i_0_124, plain, (identity=identity), inference(start_rule)). % 0.19/0.43 cnf(i_0_163, plain, (identity=identity), inference(extension_rule, [i_0_128])). % 0.19/0.43 cnf(i_0_203, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_201, plain, (multiply(identity,multiply(identity,X5))=multiply(identity,X5)), inference(extension_rule, [i_0_127])). % 0.19/0.43 cnf(i_0_240, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_238, plain, (multiply(identity,multiply(identity,X5))=X5), inference(etableau_closure_rule, [i_0_238, ...])). % 0.19/0.43 # End printing tableau % 0.19/0.43 # SZS output end % 0.19/0.43 # Branches closed with saturation will be marked with an "s" % 0.19/0.43 # There were 1 total branch saturation attempts. % 0.19/0.43 # There were 0 of these attempts blocked. % 0.19/0.43 # There were 0 deferred branch saturation attempts. % 0.19/0.43 # There were 0 free duplicated saturations. % 0.19/0.43 # There were 1 total successful branch saturations. % 0.19/0.43 # There were 0 successful branch saturations in interreduction. % 0.19/0.43 # There were 0 successful branch saturations on the branch. % 0.19/0.43 # There were 1 successful branch saturations after the branch. % 0.19/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # Begin clausification derivation % 0.19/0.43 % 0.19/0.43 # End clausification derivation % 0.19/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.43 cnf(i_0_17, plain, (multiply(identity,X1)=X1)). % 0.19/0.43 cnf(i_0_18, plain, (multiply(inverse(X1),X1)=identity)). % 0.19/0.43 cnf(i_0_19, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.19/0.43 cnf(i_0_25, negated_conjecture, (inverse(sk_c3)=sk_c7|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_27, negated_conjecture, (inverse(sk_c4)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_24, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_26, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_21, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_29, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_23, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_31, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_20, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_22, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_28, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_30, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_32, negated_conjecture, (multiply(X1,multiply(X2,sk_c7))!=sk_c6|inverse(X1)!=multiply(X2,sk_c7)|multiply(X3,sk_c7)!=sk_c6|multiply(sk_c7,X4)!=sk_c6|inverse(X2)!=sk_c7|inverse(X3)!=sk_c7)). % 0.19/0.43 cnf(i_0_130, plain, (X6=X6)). % 0.19/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.43 # Begin printing tableau % 0.19/0.43 # Found 6 steps % 0.19/0.43 cnf(i_0_130, plain, (identity=identity), inference(start_rule)). % 0.19/0.43 cnf(i_0_169, plain, (identity=identity), inference(extension_rule, [i_0_134])). % 0.19/0.43 cnf(i_0_209, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_207, plain, (multiply(identity,multiply(identity,X5))=multiply(identity,X5)), inference(extension_rule, [i_0_133])). % 0.19/0.43 cnf(i_0_246, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_244, plain, (multiply(identity,multiply(identity,X5))=X5), inference(etableau_closure_rule, [i_0_244, ...])). % 0.19/0.43 # End printing tableau % 0.19/0.43 # SZS output end % 0.19/0.43 # Branches closed with saturation will be marked with an "s" % 0.19/0.43 # There were 1 total branch saturation attempts. % 0.19/0.43 # There were 0 of these attempts blocked. % 0.19/0.43 # There were 0 deferred branch saturation attempts. % 0.19/0.43 # There were 0 free duplicated saturations. % 0.19/0.43 # There were 1 total successful branch saturations. % 0.19/0.43 # There were 0 successful branch saturations in interreduction. % 0.19/0.43 # There were 0 successful branch saturations on the branch. % 0.19/0.43 # There were 1 successful branch saturations after the branch. % 0.19/0.43 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 # Begin clausification derivation % 0.19/0.43 % 0.19/0.43 # End clausification derivation % 0.19/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.19/0.43 cnf(i_0_17, plain, (multiply(identity,X1)=X1)). % 0.19/0.43 cnf(i_0_18, plain, (multiply(inverse(X1),X1)=identity)). % 0.19/0.43 cnf(i_0_19, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 0.19/0.43 cnf(i_0_25, negated_conjecture, (inverse(sk_c3)=sk_c7|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_27, negated_conjecture, (inverse(sk_c4)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_24, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_26, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|inverse(sk_c1)=sk_c7)). % 0.19/0.43 cnf(i_0_21, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_29, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7)). % 0.19/0.43 cnf(i_0_23, negated_conjecture, (multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_31, negated_conjecture, (multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c5)). % 0.19/0.43 cnf(i_0_20, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_22, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c1,sk_c7)=sk_c6)). % 0.19/0.43 cnf(i_0_28, negated_conjecture, (multiply(sk_c3,sk_c7)=sk_c5|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_30, negated_conjecture, (multiply(sk_c4,sk_c5)=sk_c6|multiply(sk_c7,sk_c2)=sk_c6)). % 0.19/0.43 cnf(i_0_32, negated_conjecture, (multiply(X1,multiply(X2,sk_c7))!=sk_c6|inverse(X1)!=multiply(X2,sk_c7)|multiply(X3,sk_c7)!=sk_c6|multiply(sk_c7,X4)!=sk_c6|inverse(X2)!=sk_c7|inverse(X3)!=sk_c7)). % 0.19/0.43 cnf(i_0_460, plain, (X6=X6)). % 0.19/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.19/0.43 # Begin printing tableau % 0.19/0.43 # Found 6 steps % 0.19/0.43 cnf(i_0_460, plain, (identity=identity), inference(start_rule)). % 0.19/0.43 cnf(i_0_499, plain, (identity=identity), inference(extension_rule, [i_0_464])). % 0.19/0.43 cnf(i_0_539, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_537, plain, (multiply(identity,multiply(identity,X5))=multiply(identity,X5)), inference(extension_rule, [i_0_463])). % 0.19/0.43 cnf(i_0_576, plain, (multiply(identity,X5)!=X5), inference(closure_rule, [i_0_17])). % 0.19/0.43 cnf(i_0_574, plain, (multiply(identity,multiply(identity,X5))=X5), inference(etableau_closure_rule, [i_0_574, ...])). % 0.19/0.43 # End printing tableau % 0.19/0.43 # SZS output end % 0.19/0.43 # Branches closed with saturation will be marked with an "s" % 0.19/0.43 # Child (26767) has found a proof. % 0.19/0.43 % 0.19/0.43 # Proof search is over... % 0.19/0.43 # Freeing feature tree %------------------------------------------------------------------------------