%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP340-1 : 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 : n009.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 09:06:03 EDT 2022 % Result : Unsatisfiable 4.92s 0.95s % Output : CNFRefutation 4.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.09 % Problem : GRP340-1 : TPTP v8.1.0. Released v2.5.0. % 0.04/0.09 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.08/0.29 % Computer : n009.cluster.edu % 0.08/0.29 % Model : x86_64 x86_64 % 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.29 % Memory : 8042.1875MB % 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.29 % CPULimit : 300 % 0.08/0.29 % WCLimit : 600 % 0.08/0.29 % DateTime : Tue Jun 14 13:20:08 EDT 2022 % 0.08/0.29 % CPUTime : % 0.14/0.32 # No SInE strategy applied % 0.14/0.32 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.14/0.32 # and selection function SelectComplexExceptUniqMaxHorn. % 0.14/0.32 # % 0.14/0.32 # Presaturation interreduction done % 0.14/0.32 # Number of axioms: 54 Number of unprocessed: 54 % 0.14/0.32 # Tableaux proof search. % 0.14/0.32 # APR header successfully linked. % 0.14/0.32 # Hello from C++ % 0.14/0.32 # The folding up rule is enabled... % 0.14/0.32 # Local unification is enabled... % 0.14/0.32 # Any saturation attempts will use folding labels... % 0.14/0.32 # 54 beginning clauses after preprocessing and clausification % 0.14/0.32 # Creating start rules for all 51 conjectures. % 0.14/0.32 # There are 51 start rule candidates: % 0.14/0.32 # Found 3 unit axioms. % 0.14/0.32 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.14/0.32 # 51 start rule tableaux created. % 0.14/0.32 # 51 extension rule candidate clauses % 0.14/0.32 # 3 unit axiom clauses % 0.14/0.32 % 0.14/0.32 # Requested 8, 32 cores available to the main process. % 4.43/0.89 # Creating equality axioms % 4.43/0.89 # Ran out of tableaux, making start rules for all clauses % 4.43/0.89 # Creating equality axioms % 4.43/0.89 # Ran out of tableaux, making start rules for all clauses % 4.43/0.89 # Creating equality axioms % 4.43/0.89 # Ran out of tableaux, making start rules for all clauses % 4.43/0.89 # Creating equality axioms % 4.43/0.89 # Ran out of tableaux, making start rules for all clauses % 4.43/0.89 # Creating equality axioms % 4.43/0.89 # Ran out of tableaux, making start rules for all clauses % 4.43/0.89 # Creating equality axioms % 4.43/0.89 # Ran out of tableaux, making start rules for all clauses % 4.43/0.90 # Creating equality axioms % 4.43/0.90 # Ran out of tableaux, making start rules for all clauses % 4.43/0.92 # Creating equality axioms % 4.43/0.92 # Ran out of tableaux, making start rules for all clauses % 4.92/0.95 # There were 2 total branch saturation attempts. % 4.92/0.95 # There were 0 of these attempts blocked. % 4.92/0.95 # There were 0 deferred branch saturation attempts. % 4.92/0.95 # There were 0 free duplicated saturations. % 4.92/0.95 # There were 1 total successful branch saturations. % 4.92/0.95 # There were 0 successful branch saturations in interreduction. % 4.92/0.95 # There were 0 successful branch saturations on the branch. % 4.92/0.95 # There were 1 successful branch saturations after the branch. % 4.92/0.95 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # Begin clausification derivation % 4.92/0.95 % 4.92/0.95 # End clausification derivation % 4.92/0.95 # Begin listing active clauses obtained from FOF to CNF conversion % 4.92/0.95 cnf(i_0_55, plain, (multiply(identity,X1)=X1)). % 4.92/0.95 cnf(i_0_56, plain, (multiply(inverse(X1),X1)=identity)). % 4.92/0.95 cnf(i_0_57, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 4.92/0.95 cnf(i_0_69, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_89, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_71, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_91, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_73, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_93, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_75, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_95, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_76, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_96, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_59, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_79, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_99, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_61, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_81, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_101, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_63, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_83, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_103, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_65, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_85, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_105, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_66, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_86, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_106, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_68, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_70, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_72, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_74, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_77, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_88, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_90, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_92, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_94, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_97, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_58, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_60, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_62, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_64, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_67, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_78, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_98, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_80, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_100, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_82, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_102, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_84, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_104, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_87, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_107, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_108, negated_conjecture, (inverse(multiply(X1,inverse(X2)))!=inverse(X2)|multiply(inverse(X2),sk_c10)!=sk_c11|multiply(X1,inverse(X2))!=inverse(X1)|multiply(sk_c10,sk_c11)!=sk_c9|multiply(X2,inverse(X2))!=sk_c11|multiply(X3,sk_c10)!=sk_c9|multiply(X4,sk_c11)!=sk_c10|multiply(X5,sk_c9)!=sk_c10|multiply(X6,sk_c10)!=sk_c11|inverse(X3)!=sk_c10|inverse(X4)!=sk_c11|inverse(X5)!=sk_c10|inverse(X6)!=sk_c11)). % 4.92/0.95 cnf(i_0_2271, plain, (X9=X9)). % 4.92/0.95 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 4.92/0.95 # Begin printing tableau % 4.92/0.95 # Found 7 steps % 4.92/0.95 cnf(i_0_2271, plain, (identity=identity), inference(start_rule)). % 4.92/0.95 cnf(i_0_2393, plain, (identity=identity), inference(extension_rule, [i_0_2275])). % 4.92/0.95 cnf(i_0_2516, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_2514, plain, (multiply(identity,multiply(identity,X2))=multiply(identity,X2)), inference(extension_rule, [i_0_2274])). % 4.92/0.95 cnf(i_0_2636, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_2634, plain, (multiply(identity,multiply(identity,X2))=X2), inference(extension_rule, [i_0_2276])). % 4.92/0.95 cnf(i_0_59255, plain, (inverse(multiply(identity,multiply(identity,X2)))=inverse(X2)), inference(etableau_closure_rule, [i_0_59255, ...])). % 4.92/0.95 # End printing tableau % 4.92/0.95 # SZS output end % 4.92/0.95 # Branches closed with saturation will be marked with an "s" % 4.92/0.95 # There were 2 total branch saturation attempts. % 4.92/0.95 # There were 0 of these attempts blocked. % 4.92/0.95 # There were 0 deferred branch saturation attempts. % 4.92/0.95 # There were 0 free duplicated saturations. % 4.92/0.95 # There were 1 total successful branch saturations. % 4.92/0.95 # There were 0 successful branch saturations in interreduction. % 4.92/0.95 # There were 0 successful branch saturations on the branch. % 4.92/0.95 # There were 1 successful branch saturations after the branch. % 4.92/0.95 # There were 2 total branch saturation attempts. % 4.92/0.95 # There were 0 of these attempts blocked. % 4.92/0.95 # There were 0 deferred branch saturation attempts. % 4.92/0.95 # There were 0 free duplicated saturations. % 4.92/0.95 # There were 1 total successful branch saturations. % 4.92/0.95 # There were 0 successful branch saturations in interreduction. % 4.92/0.95 # There were 0 successful branch saturations on the branch. % 4.92/0.95 # There were 1 successful branch saturations after the branch. % 4.92/0.95 # There were 2 total branch saturation attempts. % 4.92/0.95 # There were 0 of these attempts blocked. % 4.92/0.95 # There were 0 deferred branch saturation attempts. % 4.92/0.95 # There were 0 free duplicated saturations. % 4.92/0.95 # There were 1 total successful branch saturations. % 4.92/0.95 # There were 0 successful branch saturations in interreduction. % 4.92/0.95 # There were 0 successful branch saturations on the branch. % 4.92/0.95 # There were 1 successful branch saturations after the branch. % 4.92/0.95 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # Begin clausification derivation % 4.92/0.95 % 4.92/0.95 # End clausification derivation % 4.92/0.95 # Begin listing active clauses obtained from FOF to CNF conversion % 4.92/0.95 cnf(i_0_55, plain, (multiply(identity,X1)=X1)). % 4.92/0.95 cnf(i_0_56, plain, (multiply(inverse(X1),X1)=identity)). % 4.92/0.95 cnf(i_0_57, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 4.92/0.95 cnf(i_0_69, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_89, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_71, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_91, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_73, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_93, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_75, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_95, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_76, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_96, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_59, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_79, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_99, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_61, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_81, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_101, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_63, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_83, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_103, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_65, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_85, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_105, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_66, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_86, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_106, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_68, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_70, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_72, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_74, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_77, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_88, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_90, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_92, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_94, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_97, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_58, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_60, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_62, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_64, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_67, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_78, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_98, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(s# SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # Begin clausification derivation % 4.92/0.95 % 4.92/0.95 # End clausification derivation % 4.92/0.95 # Begin listing active clauses obtained from FOF to CNF conversion % 4.92/0.95 cnf(i_0_55, plain, (multiply(identity,X1)=X1)). % 4.92/0.95 cnf(i_0_56, plain, (multiply(inverse(X1),X1)=identity)). % 4.92/0.95 cnf(i_0_57, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 4.92/0.95 cnf(i_0_69, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_89, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_71, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_91, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_73, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_93, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_75, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_95, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_76, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_96, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_59, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_79, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_99, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_61, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_81, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_101, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_63, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_83, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_103, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_65, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_85, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_105, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_66, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_86, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_106, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_68, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_70, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_72, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_74, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_77, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_88, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_90, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_92, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_94, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_97, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_58, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_60, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_62, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_64, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_67, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_78, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_98, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_80, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_100, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_82, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_102, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_84, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_104, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_87, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_107, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_108, negated_conjecture, (inverse(multiply(X1,inverse(X2)))!=inverse(X2)|multiply(inverse(X2),sk_c10)!=sk_c11|multiply(X1,inverse(X2))!=inverse(X1)|multiply(sk_c10,sk_c11)!=sk_c9|multiply(X2,inverse(X2))!=sk_c11|multiply(X3,sk_c10)!=sk_c9|multiply(X4,sk_c11)!=sk_c10|multiply(X5,sk_c9)!=sk_c10|multiply(X6,sk_c10)!=sk_c11|inverse(X3)!=sk_c10|inverse(X4)!=sk_c11|inverse(X5)!=sk_c10|inverse(X6)!=sk_c11)). % 4.92/0.95 cnf(i_0_4870, plain, (X9=X9)). % 4.92/0.95 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 4.92/0.95 # Begin printing tableau % 4.92/0.95 # Found 7 steps % 4.92/0.95 cnf(i_0_4870, plain, (identity=identity), inference(start_rule)). % 4.92/0.95 cnf(i_0_4992, plain, (identity=identity), inference(extension_rule, [i_0_4874])). % 4.92/0.95 cnf(i_0_5115, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_5113, plain, (multiply(identity,multiply(identity,X2))=multiply(identity,X2)), inference(extension_rule, [i_0_4873])). % 4.92/0.95 cnf(i_0_5235, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_5233, plain, (multiply(identity,multiply(identity,X2))=X2), inference(extension_rule, [i_0_4875])). % 4.92/0.95 cnf(i_0_61854, plain, (inverse(multiply(identity,multiply(identity,X2)))=inverse(X2)), inference(etableau_closure_rule, [i_0_61854, ...])). % 4.92/0.95 # End printing tableau % 4.92/0.95 # SZS output end % 4.92/0.95 # Branches closed with saturation will be marked with an "s" % 4.92/0.95 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # Begin clausification derivation % 4.92/0.95 % 4.92/0.95 # End clausification derivation % 4.92/0.95 # Begin listing active clauses obtained from FOF to CNF conversion % 4.92/0.95 cnf(i_0_55, plain, (multiply(identity,X1)=X1)). % 4.92/0.95 cnf(i_0_56, plain, (multiply(inverse(X1),X1)=identity)). % 4.92/0.95 cnf(i_0_57, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 4.92/0.95 cnf(i_0_69, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_89, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_71, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_91, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_73, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_93, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_75, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_95, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_76, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_96, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_59, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_79, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_99, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_61, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_81, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_101, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_63, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_83, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_103, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_65, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_85, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_105, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_66, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_86, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_106, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_68, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_70, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_72, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_74, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_77, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_88, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_90, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_92, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_94, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_97, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_58, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_60, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_62, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_64, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_67, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_78, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_98, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_80, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_100, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_82, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_102, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_84, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_104, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_87, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_107, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_108, negated_conjecture, (inverse(multiply(X1,inverse(X2)))!=inverse(X2)|multiply(inverse(X2),sk_c10)!=sk_c11|multiply(X1,inverse(X2))!=inverse(X1)|multiply(sk_c10,sk_c11)!=sk_c9|multiply(X2,inverse(X2))!=sk_c11|multiply(X3,sk_c10)!=sk_c9|multiply(X4,sk_c11)!=sk_c10|multiply(X5,sk_c9)!=sk_c10|multiply(X6,sk_c10)!=sk_c11|inverse(X3)!=sk_c10|inverse(X4)!=sk_c11|inverse(X5)!=sk_c10|inverse(X6)!=sk_c11)). % 4.92/0.95 cnf(i_0_3853, plain, (X9=X9)). % 4.92/0.95 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 4.92/0.95 # Begin printing tableau % 4.92/0.95 # Found 7 steps % 4.92/0.95 cnf(i_0_3853, plain, (identity=identity), inference(start_rule)). % 4.92/0.95 cnf(i_0_3975, plain, (identity=identity), inference(extension_rule, [i_0_3857])). % 4.92/0.95 cnf(i_0_4098, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_4096, plain, (multiply(identity,multiply(identity,X2))=multiply(identity,X2)), inference(extension_rule, [i_0_3856])). % 4.92/0.95 cnf(i_0_4218, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_4216, plain, (multiply(identity,multiply(identity,X2))=X2), inference(extension_rule, [i_0_3858])). % 4.92/0.95 cnf(i_0_60837, plain, (inverse(multiply(identity,multiply(identity,X2)))=inverse(X2)), inference(etableau_closure_rule, [i_0_60837, ...])). % 4.92/0.95 # End printing tableau % 4.92/0.95 # SZS output end % 4.92/0.95 # Branches closed with saturation will be marked with an "s" % 4.92/0.95 # There were 2 total branch saturation attempts. % 4.92/0.95 # There were 0 of these attempts blocked. % 4.92/0.95 # There were 0 deferred branch saturation attempts. % 4.92/0.95 # There were 0 free duplicated saturations. % 4.92/0.95 # There were 1 total successful branch saturations. % 4.92/0.95 # There were 0 successful branch saturations in interreduction. % 4.92/0.95 # There were 0 successful branch saturations on the branch. % 4.92/0.95 # There were 1 successful branch saturations after the branch. % 4.92/0.95 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.92/0.95 # Begin clausification derivation % 4.92/0.95 % 4.92/0.95 # End clausification derivation % 4.92/0.95 # Begin listing active clauses obtained from FOF to CNF conversion % 4.92/0.95 cnf(i_0_55, plain, (multiply(identity,X1)=X1)). % 4.92/0.95 cnf(i_0_56, plain, (multiply(inverse(X1),X1)=identity)). % 4.92/0.95 cnf(i_0_57, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 4.92/0.95 cnf(i_0_69, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_89, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_71, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_91, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_73, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_93, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_75, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_95, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_76, negated_conjecture, (inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_96, negated_conjecture, (inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_59, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_79, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_99, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11)). % 4.92/0.95 cnf(i_0_61, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_81, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_101, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10)). % 4.92/0.95 cnf(i_0_63, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_83, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_103, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8)). % 4.92/0.95 cnf(i_0_65, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_85, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_105, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6)). % 4.92/0.95 cnf(i_0_66, negated_conjecture, (multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_86, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_106, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8)). % 4.92/0.95 cnf(i_0_68, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_70, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_72, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_74, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_77, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c1)=sk_c11)). % 4.92/0.95 cnf(i_0_88, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_90, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_92, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_94, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_97, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c2)=sk_c10)). % 4.92/0.95 cnf(i_0_58, negated_conjecture, (multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_60, negated_conjecture, (multiply(sk_c4,sk_c10)=sk_c9|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_62, negated_conjecture, (multiply(sk_c5,sk_c8)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_64, negated_conjecture, (multiply(sk_c8,sk_c10)=sk_c11|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_67, negated_conjecture, (multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c10,sk_c11)=sk_c9)). % 4.92/0.95 cnf(i_0_78, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_98, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_80, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_100, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_82, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_102, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_84, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_104, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_87, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_107, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_108, negated_conjecture, (inverse(multiply(X1,inverse(X2)))!=inverse(X2)|multiply(inverse(X2),sk_c10)!=sk_c11|multiply(X1,inverse(X2))!=inverse(X1)|multiply(sk_c10,sk_c11)!=sk_c9|multiply(X2,inverse(X2))!=sk_c11|multiply(X3,sk_c10)!=sk_c9|multiply(X4,sk_c11)!=sk_c10|multiply(X5,sk_c9)!=sk_c10|multiply(X6,sk_c10)!=sk_c11|inverse(X3)!=sk_c10|inverse(X4)!=sk_c11|inverse(X5)!=sk_c10|inverse(X6)!=sk_c11)). % 4.92/0.95 cnf(i_0_3853, plain, (X9=X9)). % 4.92/0.95 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 4.92/0.95 # Begin printing tableau % 4.92/0.95 # Found 7 steps % 4.92/0.95 cnf(i_0_3853, plain, (identity=identity), inference(start_rule)). % 4.92/0.95 cnf(i_0_3975, plain, (identity=identity), inference(extension_rule, [i_0_3857])). % 4.92/0.95 cnf(i_0_4098, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_4096, plain, (multiply(identity,multiply(identity,X2))=multiply(identity,X2)), inference(extension_rule, [i_0_3856])). % 4.92/0.95 cnf(i_0_4218, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_4216, plain, (multiply(identity,multiply(identity,X2))=X2), inference(extension_rule, [i_0_3858])). % 4.92/0.95 cnf(i_0_60837, plain, (inverse(multiply(identity,multiply(identity,X2)))=inverse(X2)), inference(etableau_closure_rule, [i_0_60837, ...])). % 4.92/0.95 # End printing tableau % 4.92/0.95 # SZS output end % 4.92/0.95 # Branches closed with saturation will be marked with an "s" % 4.92/0.95 k_c3,sk_c11)=sk_c10)). % 4.92/0.95 cnf(i_0_80, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_100, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9)). % 4.92/0.95 cnf(i_0_82, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_102, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11)). % 4.92/0.95 cnf(i_0_84, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_104, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11)). % 4.92/0.95 cnf(i_0_87, negated_conjecture, (multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_107, negated_conjecture, (multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6)). % 4.92/0.95 cnf(i_0_108, negated_conjecture, (inverse(multiply(X1,inverse(X2)))!=inverse(X2)|multiply(inverse(X2),sk_c10)!=sk_c11|multiply(X1,inverse(X2))!=inverse(X1)|multiply(sk_c10,sk_c11)!=sk_c9|multiply(X2,inverse(X2))!=sk_c11|multiply(X3,sk_c10)!=sk_c9|multiply(X4,sk_c11)!=sk_c10|multiply(X5,sk_c9)!=sk_c10|multiply(X6,sk_c10)!=sk_c11|inverse(X3)!=sk_c10|inverse(X4)!=sk_c11|inverse(X5)!=sk_c10|inverse(X6)!=sk_c11)). % 4.92/0.95 cnf(i_0_3514, plain, (X9=X9)). % 4.92/0.95 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 4.92/0.95 # Begin printing tableau % 4.92/0.95 # Found 7 steps % 4.92/0.95 cnf(i_0_3514, plain, (identity=identity), inference(start_rule)). % 4.92/0.95 cnf(i_0_3636, plain, (identity=identity), inference(extension_rule, [i_0_3518])). % 4.92/0.95 cnf(i_0_3759, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_3757, plain, (multiply(identity,multiply(identity,X2))=multiply(identity,X2)), inference(extension_rule, [i_0_3517])). % 4.92/0.95 cnf(i_0_3879, plain, (multiply(identity,X2)!=X2), inference(closure_rule, [i_0_55])). % 4.92/0.95 cnf(i_0_3877, plain, (multiply(identity,multiply(identity,X2))=X2), inference(extension_rule, [i_0_3519])). % 4.92/0.95 cnf(i_0_60498, plain, (inverse(multiply(identity,multiply(identity,X2)))=inverse(X2)), inference(etableau_closure_rule, [i_0_60498, ...])). % 4.92/0.95 # End printing tableau % 4.92/0.95 # SZS output end % 4.92/0.95 # Branches closed with saturation will be marked with an "s" % 4.92/0.95 # There were 2 total branch saturation attempts. % 4.92/0.95 # There were 0 of these attempts blocked. % 4.92/0.95 # There were 0 deferred branch saturation attempts. % 4.92/0.95 # There were 0 free duplicated saturations. % 4.92/0.95 # There were 1 total successful branch saturations. % 4.92/0.95 # There were 0 successful branch saturations in interreduction. % 4.92/0.95 # There were 0 successful branch saturations on the branch. % 4.92/0.95 # There were 1 successful branch saturations after the branch. % 4.92/0.95 # Child (2893) has found a proof. % 4.92/0.95 % 4.92/0.95 # Proof search is over... % 4.92/0.95 # Freeing feature tree %------------------------------------------------------------------------------