%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:01:47 PM UTC 2026 % Result : Theorem 0.12s 0.39s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.08/0.36 % Computer : n029.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Fri Sep 4 16:07:54 UTC 2026 % 0.08/0.36 % CPUTime : % 0.12/0.39 # No SInE strategy applied % 0.12/0.39 # Auto-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PS_S0Y % 0.12/0.39 # and selection function SelectMaxLComplexAvoidPosPred. % 0.12/0.39 # % 0.12/0.39 # Presaturation interreduction done % 0.12/0.39 # Number of axioms: 18 Number of unprocessed: 17 % 0.12/0.39 # Tableaux proof search. % 0.12/0.39 # APR header successfully linked. % 0.12/0.39 # Hello from C++ % 0.12/0.39 # The folding up rule is enabled... % 0.12/0.39 # Local unification is enabled... % 0.12/0.39 # Any saturation attempts will use folding labels... % 0.12/0.39 # 17 beginning clauses after preprocessing and clausification % 0.12/0.39 # Creating start rules for all 15 conjectures. % 0.12/0.39 # There are 15 start rule candidates: % 0.12/0.39 # Found 13 unit axioms. % 0.12/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.12/0.39 # 15 start rule tableaux created. % 0.12/0.39 # 4 extension rule candidate clauses % 0.12/0.39 # 13 unit axiom clauses % 0.12/0.39 % 0.12/0.39 # Requested 8, 32 cores available to the main process. % 0.12/0.39 # There were 1 total branch saturation attempts. % 0.12/0.39 # There were 0 of these attempts blocked. % 0.12/0.39 # There were 0 deferred branch saturation attempts. % 0.12/0.39 # There were 0 free duplicated saturations. % 0.12/0.39 # There were 1 total successful branch saturations. % 0.12/0.39 # There were 0 successful branch saturations in interreduction. % 0.12/0.39 # There were 0 successful branch saturations on the branch. % 0.12/0.39 # There were 1 successful branch saturations after the branch. % 0.12/0.39 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.39 # Begin clausification derivation % 0.12/0.39 % 0.12/0.39 # End clausification derivation % 0.12/0.39 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.39 cnf(i_0_14, negated_conjecture, (r1(esk1_0,esk2_0))). % 0.12/0.39 cnf(i_0_11, negated_conjecture, (r1(esk1_0,esk4_0))). % 0.12/0.39 cnf(i_0_8, negated_conjecture, (r1(esk1_0,esk6_0))). % 0.12/0.39 cnf(i_0_5, negated_conjecture, (r1(esk1_0,esk8_0))). % 0.12/0.39 cnf(i_0_13, negated_conjecture, (r1(esk2_0,esk3_0))). % 0.12/0.39 cnf(i_0_10, negated_conjecture, (r1(esk4_0,esk5_0))). % 0.12/0.39 cnf(i_0_7, negated_conjecture, (r1(esk6_0,esk7_0))). % 0.12/0.39 cnf(i_0_4, negated_conjecture, (r1(esk8_0,esk9_0))). % 0.12/0.39 cnf(i_0_1, plain, (r1(X1,X1))). % 0.12/0.39 cnf(i_0_6, negated_conjecture, (~p12(esk7_0))). % 0.12/0.39 cnf(i_0_12, negated_conjecture, (~p15(esk3_0))). % 0.12/0.39 cnf(i_0_9, negated_conjecture, (~p13(esk5_0))). % 0.12/0.39 cnf(i_0_3, negated_conjecture, (~p11(esk9_0))). % 0.12/0.39 cnf(i_0_18, negated_conjecture, (p16(X1)|~r1(esk1_0,X2)|~r1(X2,X1))). % 0.12/0.39 cnf(i_0_15, negated_conjecture, (p12(X1)|~r1(esk1_0,X2)|~r1(X2,X1))). % 0.12/0.39 cnf(i_0_16, negated_conjecture, (p14(X1)|~r1(esk1_0,X2)|~r1(X2,X1))). % 0.12/0.39 cnf(i_0_2, plain, (r1(X1,X2)|~r1(X3,X2)|~r1(X1,X3))). % 0.12/0.39 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.39 # Begin printing tableau % 0.12/0.39 # Found 6 steps % 0.12/0.39 cnf(i_0_7, negated_conjecture, (r1(esk6_0,esk7_0)), inference(start_rule)). % 0.12/0.39 cnf(i_0_33, plain, (r1(esk6_0,esk7_0)), inference(extension_rule, [i_0_2])). % 0.12/0.39 cnf(i_0_52, plain, (r1(esk1_0,esk7_0)), inference(extension_rule, [i_0_16])). % 0.12/0.39 cnf(i_0_54, plain, (~r1(esk1_0,esk6_0)), inference(closure_rule, [i_0_8])). % 0.12/0.39 cnf(i_0_57, plain, (~r1(esk7_0,esk7_0)), inference(closure_rule, [i_0_1])). % 0.12/0.39 cnf(i_0_55, plain, (p14(esk7_0)), inference(etableau_closure_rule, [i_0_55, ...])). % 0.12/0.39 # End printing tableau % 0.12/0.39 # SZS output end % 0.12/0.39 # Branches closed with saturation will be marked with an "s" % 0.12/0.39 # Child (919587) has found a proof. % 0.12/0.39 % 0.12/0.39 # Proof search is over... % 0.12/0.39 # Freeing feature tree %------------------------------------------------------------------------------