%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0. % 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 : n017.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 02:05:57 EDT 2022 % Result : Unsatisfiable 0.14s 0.40s % Output : CNFRefutation 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.08/0.15 % 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 : n017.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 7 01:14:17 EDT 2022 % 0.14/0.36 % CPUTime : % 0.14/0.39 # No SInE strategy applied % 0.14/0.39 # Auto-Mode selected heuristic G_E___200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V % 0.14/0.39 # and selection function PSelectComplexExceptRRHorn. % 0.14/0.39 # % 0.14/0.39 # Number of axioms: 28 Number of unprocessed: 28 % 0.14/0.39 # Tableaux proof search. % 0.14/0.39 # APR header successfully linked. % 0.14/0.39 # Hello from C++ % 0.14/0.39 # The folding up rule is enabled... % 0.14/0.39 # Local unification is enabled... % 0.14/0.39 # Any saturation attempts will use folding labels... % 0.14/0.39 # 28 beginning clauses after preprocessing and clausification % 0.14/0.39 # Creating start rules for all 2 conjectures. % 0.14/0.39 # There are 2 start rule candidates: % 0.14/0.39 # Found 5 unit axioms. % 0.14/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.14/0.39 # 2 start rule tableaux created. % 0.14/0.39 # 23 extension rule candidate clauses % 0.14/0.39 # 5 unit axiom clauses % 0.14/0.39 % 0.14/0.39 # Requested 8, 32 cores available to the main process. % 0.14/0.39 # There are not enough tableaux to fork, creating more from the initial 2 % 0.14/0.39 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux. % 0.14/0.39 # We now have 11 tableaux to operate on % 0.14/0.40 # There were 1 total branch saturation attempts. % 0.14/0.40 # There were 0 of these attempts blocked. % 0.14/0.40 # There were 0 deferred branch saturation attempts. % 0.14/0.40 # There were 0 free duplicated saturations. % 0.14/0.40 # There were 1 total successful branch saturations. % 0.14/0.40 # There were 0 successful branch saturations in interreduction. % 0.14/0.40 # There were 0 successful branch saturations on the branch. % 0.14/0.40 # There were 1 successful branch saturations after the branch. % 0.14/0.40 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.14/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.14/0.40 # Begin clausification derivation % 0.14/0.40 % 0.14/0.40 # End clausification derivation % 0.14/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.14/0.40 cnf(i_0_42, plain, (defined(additive_identity))). % 0.14/0.40 cnf(i_0_45, plain, (defined(multiplicative_identity))). % 0.14/0.40 cnf(i_0_43, plain, (defined(additive_inverse(X1))|~defined(X1))). % 0.14/0.40 cnf(i_0_51, plain, (less_or_equal(X2,X1)|less_or_equal(X1,X2)|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_41, plain, (defined(add(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_44, plain, (defined(multiply(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_50, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X2)|~less_or_equal(X1,X3))). % 0.14/0.40 cnf(i_0_31, plain, (sum(additive_identity,X1,X1)|~defined(X1))). % 0.14/0.40 cnf(i_0_36, plain, (product(multiplicative_identity,X1,X1)|~defined(X1))). % 0.14/0.40 cnf(i_0_32, plain, (sum(additive_inverse(X1),X1,additive_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_46, plain, (defined(multiplicative_inverse(X1))|sum(additive_identity,X1,additive_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_54, plain, (~sum(additive_identity,additive_identity,multiplicative_identity))). % 0.14/0.40 cnf(i_0_55, negated_conjecture, (~sum(additive_identity,multiplicative_identity,additive_identity))). % 0.14/0.40 cnf(i_0_56, negated_conjecture, (~product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity))). % 0.14/0.40 cnf(i_0_47, plain, (sum(X1,X2,add(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_48, plain, (product(X1,X2,multiply(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_49, plain, (sum(additive_identity,X1,X2)|~less_or_equal(X2,X1)|~less_or_equal(X1,X2))). % 0.14/0.40 cnf(i_0_37, plain, (sum(additive_identity,X1,additive_identity)|product(multiplicative_inverse(X1),X1,multiplicative_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_53, plain, (less_or_equal(additive_identity,X1)|~less_or_equal(additive_identity,X3)|~less_or_equal(additive_identity,X2)|~product(X2,X3,X1))). % 0.14/0.40 cnf(i_0_33, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))). % 0.14/0.40 cnf(i_0_38, plain, (product(X1,X2,X3)|~product(X2,X1,X3))). % 0.14/0.40 cnf(i_0_52, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X4)|~sum(X4,X5,X2)|~sum(X3,X5,X1))). % 0.14/0.40 cnf(i_0_29, plain, (sum(X1,X2,X3)|~sum(X5,X6,X3)|~sum(X4,X6,X2)|~sum(X1,X4,X5))). % 0.14/0.40 cnf(i_0_30, plain, (sum(X1,X2,X3)|~sum(X5,X2,X6)|~sum(X4,X6,X3)|~sum(X4,X5,X1))). % 0.14/0.40 cnf(i_0_34, plain, (product(X1,X2,X3)|~product(X5,X6,X3)|~product(X4,X6,X2)|~product(X1,X4,X5))). % 0.14/0.40 cnf(i_0_35, plain, (product(X1,X2,X3)|~product(X5,X2,X6)|~product(X4,X6,X3)|~product(X4,X5,X1))). % 0.14/0.40 cnf(i_0_39, plain, (sum(X1,X2,X3)|~sum(X4,X5,X6)|~product(X6,X7,X3)|~product(X5,X7,X2)|~product(X4,X7,X1))). % 0.14/0.40 cnf(i_0_40, plain, (product(X1,X2,X3)|~sum(X6,X7,X3)|~sum(X4,X5,X1)|~product(X5,X2,X7)|~product(X4,X2,X6))). % 0.14/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.14/0.40 # Begin printing tableau % 0.14/0.40 # Found 8 steps % 0.14/0.40 cnf(i_0_55, negated_conjecture, (~sum(additive_identity,multiplicative_identity,additive_identity)), inference(start_rule)). % 0.14/0.40 cnf(i_0_58, plain, (~sum(additive_identity,multiplicative_identity,additive_identity)), inference(extension_rule, [i_0_30])). % 0.14/0.40 cnf(i_0_186, plain, (~sum(additive_identity,multiplicative_identity,multiplicative_identity)), inference(extension_rule, [i_0_31])). % 0.14/0.40 cnf(i_0_223, plain, (~defined(multiplicative_identity)), inference(closure_rule, [i_0_45])). % 0.14/0.40 cnf(i_0_187, plain, (~sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)), inference(extension_rule, [i_0_32])). % 0.14/0.40 cnf(i_0_242, plain, (~defined(multiplicative_identity)), inference(closure_rule, [i_0_45])). % 0.14/0.40 cnf(i_0_188, plain, (~sum(additive_inverse(multiplicative_identity),additive_identity,additive_identity)), inference(extension_rule, [i_0_33])). % 0.14/0.40 cnf(i_0_280, plain, (~sum(additive_identity,additive_inverse(multiplicative_identity),additive_identity)), inference(etableau_closure_rule, [i_0_280, ...])). % 0.14/0.40 # End printing tableau % 0.14/0.40 # SZS output end % 0.14/0.40 # Branches closed with saturation will be marked with an "s" % 0.14/0.40 # There were 1 total branch saturation attempts. % 0.14/0.40 # There were 0 of these attempts blocked. % 0.14/0.40 # There were 0 deferred branch saturation attempts. % 0.14/0.40 # There were 0 free duplicated saturations. % 0.14/0.40 # There were 1 total successful branch saturations. % 0.14/0.40 # There were 0 successful branch saturations in interreduction. % 0.14/0.40 # There were 0 successful branch saturations on the branch. % 0.14/0.40 # There were 1 successful branch saturations after the branch. % 0.14/0.40 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.14/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.14/0.40 # Begin clausification derivation % 0.14/0.40 % 0.14/0.40 # End clausification derivation % 0.14/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.14/0.40 cnf(i_0_42, plain, (defined(additive_identity))). % 0.14/0.40 cnf(i_0_45, plain, (defined(multiplicative_identity))). % 0.14/0.40 cnf(i_0_43, plain, (defined(additive_inverse(X1))|~defined(X1))). % 0.14/0.40 cnf(i_0_51, plain, (less_or_equal(X2,X1)|less_or_equal(X1,X2)|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_41, plain, (defined(add(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_44, plain, (defined(multiply(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_50, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X2)|~less_or_equal(X1,X3))). % 0.14/0.40 cnf(i_0_31, plain, (sum(additive_identity,X1,X1)|~defined(X1))). % 0.14/0.40 cnf(i_0_36, plain, (product(multiplicative_identity,X1,X1)|~defined(X1))). % 0.14/0.40 cnf(i_0_32, plain, (sum(additive_inverse(X1),X1,additive_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_46, plain, (defined(multiplicative_inverse(X1))|sum(additive_identity,X1,additive_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_54, plain, (~sum(additive_identity,additive_identity,multiplicative_identity))). % 0.14/0.40 cnf(i_0_55, negated_conjecture, (~sum(additive_identity,multiplicative_identity,additive_identity))). % 0.14/0.40 cnf(i_0_56, negated_conjecture, (~product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity))). % 0.14/0.40 cnf(i_0_47, plain, (sum(X1,X2,add(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_48, plain, (product(X1,X2,multiply(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_49, plain, (sum(additive_identity,X1,X2)|~less_or_equal(X2,X1)|~less_or_equal(X1,X2))). % 0.14/0.40 cnf(i_0_37, plain, (sum(additive_identity,X1,additive_identity)|product(multiplicative_inverse(X1),X1,multiplicative_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_53, plain, (less_or_equal(additive_identity,X1)|~less_or_equal(additive_identity,X3)|~less_or_equal(additive_identity,X2)|~product(X2,X3,X1))). % 0.14/0.40 cnf(i_0_33, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))). % 0.14/0.40 cnf(i_0_38, plain, (product(X1,X2,X3)|~product(X2,X1,X3))). % 0.14/0.40 cnf(i_0_52, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X4)|~sum(X4,X5,X2)|~sum(X3,X5,X1))). % 0.14/0.40 cnf(i_0_29, plain, (sum(X1,X2,X3)|~sum(X5,X6,X3)|~sum(X4,X6,X2)|~sum(X1,X4,X5))). % 0.14/0.40 cnf(i_0_30, plain, (sum(X1,X2,X3)|~sum(X5,X2,X6)|~sum(X4,X6,X3)|~sum(X4,X5,X1))). % 0.14/0.40 cnf(i_0_34, plain, (product(X1,X2,X3)|~product(X5,X6,X3)|~product(X4,X6,X2)|~product(X1,X4,X5))). % 0.14/0.40 cnf(i_0_35, plain, (product(X1,X2,X3)|~product(X5,X2,X6)|~product(X4,X6,X3)|~product(X4,X5,X1))). % 0.14/0.40 cnf(i_0_39, plain, (sum(X1,X2,X3)|~sum(X4,X5,X6)|~product(X6,X7,X3)|~product(X5,X7,X2)|~product(X4,X7,X1))). % 0.14/0.40 cnf(i_0_40, plain, (product(X1,X2,X3)|~sum(X6,X7,X3)|~sum(X4,X5,X1)|~product(X5,X2,X7)|~product(X4,X2,X6))). % 0.14/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.14/0.40 # Begin printing tableau % 0.14/0.40 # Found 5 steps % 0.14/0.40 cnf(i_0_55, negated_conjecture, (~sum(additive_identity,multiplicative_identity,additive_identity)), inference(start_rule)). % 0.14/0.40 cnf(i_0_58, plain, (~sum(additive_identity,multiplicative_identity,additive_identity)), inference(extension_rule, [i_0_46])). % 0.14/0.40 cnf(i_0_156, plain, (~defined(multiplicative_identity)), inference(closure_rule, [i_0_45])). % 0.14/0.40 cnf(i_0_154, plain, (defined(multiplicative_inverse(multiplicative_identity))), inference(extension_rule, [i_0_43])). % 0.14/0.40 cnf(i_0_207, plain, (defined(additive_inverse(multiplicative_inverse(multiplicative_identity)))), inference(etableau_closure_rule, [i_0_207, ...])). % 0.14/0.40 # End printing tableau % 0.14/0.40 # SZS output end % 0.14/0.40 # Branches closed with saturation will be marked with an "s" % 0.14/0.40 # There were 1 total branch saturation attempts. % 0.14/0.40 # There were 0 of these attempts blocked. % 0.14/0.40 # There were 0 deferred branch saturation attempts. % 0.14/0.40 # There were 0 free duplicated saturations. % 0.14/0.40 # There were 1 total successful branch saturations. % 0.14/0.40 # There were 0 successful branch saturations in interreduction. % 0.14/0.40 # There were 0 successful branch saturations on the branch. % 0.14/0.40 # There were 1 successful branch saturations after the branch. % 0.14/0.40 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.14/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.14/0.40 # Begin clausification derivation % 0.14/0.40 % 0.14/0.40 # End clausification derivation % 0.14/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.14/0.40 cnf(i_0_42, plain, (defined(additive_identity))). % 0.14/0.40 cnf(i_0_45, plain, (defined(multiplicative_identity))). % 0.14/0.40 cnf(i_0_43, plain, (defined(additive_inverse(X1))|~defined(X1))). % 0.14/0.40 cnf(i_0_51, plain, (less_or_equal(X2,X1)|less_or_equal(X1,X2)|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_41, plain, (defined(add(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_44, plain, (defined(multiply(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_50, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X2)|~less_or_equal(X1,X3))). % 0.14/0.40 cnf(i_0_31, plain, (sum(additive_identity,X1,X1)|~defined(X1))). % 0.14/0.40 cnf(i_0_36, plain, (product(multiplicative_identity,X1,X1)|~defined(X1))). % 0.14/0.40 cnf(i_0_32, plain, (sum(additive_inverse(X1),X1,additive_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_46, plain, (defined(multiplicative_inverse(X1))|sum(additive_identity,X1,additive_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_54, plain, (~sum(additive_identity,additive_identity,multiplicative_identity))). % 0.14/0.40 cnf(i_0_55, negated_conjecture, (~sum(additive_identity,multiplicative_identity,additive_identity))). % 0.14/0.40 cnf(i_0_56, negated_conjecture, (~product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity))). % 0.14/0.40 cnf(i_0_47, plain, (sum(X1,X2,add(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_48, plain, (product(X1,X2,multiply(X1,X2))|~defined(X2)|~defined(X1))). % 0.14/0.40 cnf(i_0_49, plain, (sum(additive_identity,X1,X2)|~less_or_equal(X2,X1)|~less_or_equal(X1,X2))). % 0.14/0.40 cnf(i_0_37, plain, (sum(additive_identity,X1,additive_identity)|product(multiplicative_inverse(X1),X1,multiplicative_identity)|~defined(X1))). % 0.14/0.40 cnf(i_0_53, plain, (less_or_equal(additive_identity,X1)|~less_or_equal(additive_identity,X3)|~less_or_equal(additive_identity,X2)|~product(X2,X3,X1))). % 0.14/0.40 cnf(i_0_33, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3))). % 0.14/0.40 cnf(i_0_38, plain, (product(X1,X2,X3)|~product(X2,X1,X3))). % 0.14/0.40 cnf(i_0_52, plain, (less_or_equal(X1,X2)|~less_or_equal(X3,X4)|~sum(X4,X5,X2)|~sum(X3,X5,X1))). % 0.14/0.40 cnf(i_0_29, plain, (sum(X1,X2,X3)|~sum(X5,X6,X3)|~sum(X4,X6,X2)|~sum(X1,X4,X5))). % 0.14/0.40 cnf(i_0_30, plain, (sum(X1,X2,X3)|~sum(X5,X2,X6)|~sum(X4,X6,X3)|~sum(X4,X5,X1))). % 0.14/0.40 cnf(i_0_34, plain, (product(X1,X2,X3)|~product(X5,X6,X3)|~product(X4,X6,X2)|~product(X1,X4,X5))). % 0.14/0.40 cnf(i_0_35, plain, (product(X1,X2,X3)|~product(X5,X2,X6)|~product(X4,X6,X3)|~product(X4,X5,X1))). % 0.14/0.40 cnf(i_0_39, plain, (sum(X1,X2,X3)|~sum(X4,X5,X6)|~product(X6,X7,X3)|~product(X5,X7,X2)|~product(X4,X7,X1))). % 0.14/0.40 cnf(i_0_40, plain, (product(X1,X2,X3)|~sum(X6,X7,X3)|~sum(X4,X5,X1)|~product(X5,X2,X7)|~product(X4,X2,X6))). % 0.14/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.14/0.40 # Begin printing tableau % 0.14/0.40 # Found 9 steps % 0.14/0.40 cnf(i_0_55, negated_conjecture, (~sum(additive_identity,multiplicative_identity,additive_identity)), inference(start_rule)). % 0.14/0.40 cnf(i_0_58, plain, (~sum(additive_identity,multiplicative_identity,additive_identity)), inference(extension_rule, [i_0_33])). % 0.14/0.40 cnf(i_0_174, plain, (~sum(multiplicative_identity,additive_identity,additive_identity)), inference(extension_rule, [i_0_29])). % 0.14/0.40 cnf(i_0_256, plain, (~sum(additive_identity,additive_identity,additive_identity)), inference(extension_rule, [i_0_31])). % 0.14/0.40 cnf(i_0_275, plain, (~defined(additive_identity)), inference(closure_rule, [i_0_42])). % 0.14/0.40 cnf(i_0_258, plain, (~sum(multiplicative_identity,additive_inverse(additive_identity),additive_identity)), inference(extension_rule, [i_0_33])). % 0.14/0.40 cnf(i_0_257, plain, (~sum(additive_inverse(additive_identity),additive_identity,additive_identity)), inference(extension_rule, [i_0_32])). % 0.14/0.40 cnf(i_0_334, plain, (~defined(additive_identity)), inference(closure_rule, [i_0_42])). % 0.14/0.40 cnf(i_0_315, plain, (~sum(additive_inverse(additive_identity),multiplicative_identity,additive_identity)), inference(etableau_closure_rule, [i_0_315, ...])). % 0.14/0.40 # End printing tableau % 0.14/0.40 # SZS output end % 0.14/0.40 # Branches closed with saturation will be marked with an "s" % 0.14/0.40 # Child (2721) has found a proof. % 0.14/0.40 % 0.22/0.40 # Proof search is over... % 0.22/0.40 # Freeing feature tree %------------------------------------------------------------------------------