%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL456+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 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 : n001.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 12:01:17 PM UTC 2026 % Result : Theorem 0.70s 0.61s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL456+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.08/0.35 % Computer : n001.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Fri Sep 4 18:47:14 UTC 2026 % 0.08/0.35 % CPUTime : % 0.13/0.39 # No SInE strategy applied % 0.13/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI % 0.13/0.39 # and selection function SelectComplexExceptUniqMaxHorn. % 0.13/0.39 # % 0.13/0.39 # Presaturation interreduction done % 0.13/0.39 # Number of axioms: 82 Number of unprocessed: 58 % 0.13/0.39 # Tableaux proof search. % 0.13/0.39 # APR header successfully linked. % 0.13/0.39 # Hello from C++ % 0.13/0.39 # The folding up rule is enabled... % 0.13/0.39 # Local unification is enabled... % 0.13/0.39 # Any saturation attempts will use folding labels... % 0.13/0.39 # 58 beginning clauses after preprocessing and clausification % 0.13/0.39 # Creating start rules for all 1 conjectures. % 0.13/0.39 # There are 1 start rule candidates: % 0.13/0.39 # Found 44 unit axioms. % 0.13/0.39 # 1 start rule tableaux created. % 0.13/0.39 # 14 extension rule candidate clauses % 0.13/0.39 # 44 unit axiom clauses % 0.13/0.39 % 0.13/0.39 # Requested 8, 32 cores available to the main process. % 0.13/0.39 # There are not enough tableaux to fork, creating more from the initial 1 % 0.13/0.39 # Creating equality axioms % 0.13/0.39 # Ran out of tableaux, making start rules for all clauses % 0.13/0.39 # Returning from population with 58 new_tableaux and 0 remaining starting tableaux. % 0.13/0.39 # We now have 58 tableaux to operate on % 0.70/0.61 # There were 2 total branch saturation attempts. % 0.70/0.61 # There were 0 of these attempts blocked. % 0.70/0.61 # There were 0 deferred branch saturation attempts. % 0.70/0.61 # There were 0 free duplicated saturations. % 0.70/0.61 # There were 2 total successful branch saturations. % 0.70/0.61 # There were 0 successful branch saturations in interreduction. % 0.70/0.61 # There were 0 successful branch saturations on the branch. % 0.70/0.61 # There were 2 successful branch saturations after the branch. % 0.70/0.61 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.70/0.61 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.70/0.61 # Begin clausification derivation % 0.70/0.61 % 0.70/0.61 # End clausification derivation % 0.70/0.61 # Begin listing active clauses obtained from FOF to CNF conversion % 0.70/0.61 cnf(i_0_64, plain, (modus_ponens)). % 0.70/0.61 cnf(i_0_78, plain, (substitution_of_equivalents)). % 0.70/0.61 cnf(i_0_65, plain, (modus_tollens)). % 0.70/0.61 cnf(i_0_66, plain, (implies_1)). % 0.70/0.61 cnf(i_0_67, plain, (implies_2)). % 0.70/0.61 cnf(i_0_68, plain, (implies_3)). % 0.70/0.61 cnf(i_0_69, plain, (and_1)). % 0.70/0.61 cnf(i_0_70, plain, (and_2)). % 0.70/0.61 cnf(i_0_71, plain, (and_3)). % 0.70/0.61 cnf(i_0_72, plain, (or_1)). % 0.70/0.61 cnf(i_0_73, plain, (or_2)). % 0.70/0.61 cnf(i_0_74, plain, (or_3)). % 0.70/0.61 cnf(i_0_75, plain, (equivalence_1)). % 0.70/0.61 cnf(i_0_76, plain, (equivalence_2)). % 0.70/0.61 cnf(i_0_77, plain, (equivalence_3)). % 0.70/0.61 cnf(i_0_61, plain, (op_or)). % 0.70/0.61 cnf(i_0_80, plain, (op_and)). % 0.70/0.61 cnf(i_0_62, plain, (op_implies_and)). % 0.70/0.61 cnf(i_0_79, plain, (op_implies_or)). % 0.70/0.61 cnf(i_0_63, plain, (op_equiv)). % 0.70/0.61 cnf(i_0_59, plain, (or(not(X1),X2)=implies(X1,X2))). % 0.70/0.61 cnf(i_0_58, plain, (not(and(X1,not(X2)))=implies(X1,X2))). % 0.70/0.61 cnf(i_0_11, plain, (is_a_theorem(implies(X1,implies(X2,X1))))). % 0.70/0.61 cnf(i_0_25, plain, (is_a_theorem(implies(X1,or(X2,X1))))). % 0.70/0.61 cnf(i_0_48, plain, (r2)). % 0.70/0.61 cnf(i_0_23, plain, (is_a_theorem(implies(X1,or(X1,X2))))). % 0.70/0.61 cnf(i_0_19, plain, (is_a_theorem(implies(and(X1,X2),X2)))). % 0.70/0.61 cnf(i_0_17, plain, (is_a_theorem(implies(and(X1,X2),X1)))). % 0.70/0.61 cnf(i_0_36, plain, (kn2)). % 0.70/0.61 cnf(i_0_57, plain, (not(implies(X1,not(X2)))=and(X1,X2))). % 0.70/0.61 cnf(i_0_56, plain, (implies(not(X1),X2)=or(X1,X2))). % 0.70/0.61 cnf(i_0_31, plain, (is_a_theorem(implies(equiv(X1,X2),implies(X2,X1))))). % 0.70/0.61 cnf(i_0_29, plain, (is_a_theorem(implies(equiv(X1,X2),implies(X1,X2))))). % 0.70/0.61 cnf(i_0_21, plain, (is_a_theorem(implies(X1,implies(X2,and(X1,X2)))))). % 0.70/0.61 cnf(i_0_42, plain, (cn2)). % 0.70/0.61 cnf(i_0_60, plain, (and(implies(X1,X2),implies(X2,X1))=equiv(X1,X2))). % 0.70/0.61 cnf(i_0_9, plain, (is_a_theorem(implies(or(X1,not(X2)),implies(X2,X1))))). % 0.70/0.61 cnf(i_0_13, plain, (is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))))). % 0.70/0.61 cnf(i_0_15, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))))). % 0.70/0.61 cnf(i_0_40, plain, (cn1)). % 0.70/0.61 cnf(i_0_33, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X1),equiv(X1,X2)))))). % 0.70/0.61 cnf(i_0_27, plain, (is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X2),implies(or(X1,X3),X2)))))). % 0.70/0.61 cnf(i_0_82, negated_conjecture, (~r3)). % 0.70/0.61 cnf(i_0_50, plain, (~is_a_theorem(implies(or(esk48_0,esk49_0),or(esk49_0,esk48_0))))). % 0.70/0.61 cnf(i_0_7, plain, (X1=X2|~is_a_theorem(equiv(X1,X2)))). % 0.70/0.61 cnf(i_0_34, plain, (kn1|~is_a_theorem(implies(esk33_0,and(esk33_0,esk33_0))))). % 0.70/0.61 cnf(i_0_46, plain, (r1|~is_a_theorem(implies(or(esk45_0,esk45_0),esk45_0)))). % 0.70/0.61 cnf(i_0_4, plain, (is_a_theorem(X1)|~is_a_theorem(implies(X2,X1))|~is_a_theorem(X2))). % 0.70/0.61 cnf(i_0_35, plain, (is_a_theorem(implies(X1,and(X1,X1)))|~kn1)). % 0.70/0.61 cnf(i_0_47, plain, (is_a_theorem(implies(or(X1,X1),X1))|~r1)). % 0.70/0.61 cnf(i_0_44, plain, (cn3|~is_a_theorem(implies(or(esk44_0,esk44_0),esk44_0)))). % 0.70/0.61 cnf(i_0_45, plain, (is_a_theorem(implies(or(X1,X1),X1))|~cn3)). % 0.70/0.61 cnf(i_0_54, plain, (r5|~is_a_theorem(implies(implies(esk54_0,esk55_0),implies(or(esk53_0,esk54_0),or(esk53_0,esk55_0)))))). % 0.70/0.61 cnf(i_0_52, plain, (r4|~is_a_theorem(implies(or(esk50_0,or(esk51_0,esk52_0)),or(esk51_0,or(esk50_0,esk52_0)))))). % 0.70/0.61 cnf(i_0_38, plain, (kn3|~is_a_theorem(implies(implies(esk36_0,esk37_0),or(and(esk37_0,esk38_0),not(and(esk38_0,esk36_0))))))). % 0.70/0.61 cnf(i_0_55, plain, (is_a_theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2))))|~r5)). % 0.70/0.61 cnf(i_0_53, plain, (is_a_theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3))))|~r4)). % 0.70/0.61 cnf(i_0_39, plain, (is_a_theorem(implies(implies(X1,X2),or(and(X2,X3),not(and(X3,X1)))))|~kn3)). % 0.70/0.61 cnf(i_0_113, plain, (X127=X127)). % 0.70/0.61 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.70/0.61 # Begin printing tableau % 0.70/0.61 # Found 6 steps % 0.70/0.61 cnf(i_0_34, plain, (kn1|~is_a_theorem(implies(esk33_0,and(esk33_0,esk33_0)))), inference(start_rule)). % 0.70/0.61 cnf(i_0_169, plain, (kn1), inference(extension_rule, [i_0_35])). % 0.70/0.61 cnf(i_0_365, plain, (is_a_theorem(implies(implies(X1,implies(X2,X1)),and(implies(X1,implies(X2,X1)),implies(X1,implies(X2,X1)))))), inference(extension_rule, [i_0_4])). % 0.70/0.61 cnf(i_0_375, plain, (~is_a_theorem(implies(X1,implies(X2,X1)))), inference(closure_rule, [i_0_11])). % 0.70/0.61 cnf(i_0_170, plain, (~is_a_theorem(implies(esk33_0,and(esk33_0,esk33_0)))), inference(etableau_closure_rule, [i_0_170, ...])). % 0.70/0.61 cnf(i_0_373, plain, (is_a_theorem(and(implies(X1,implies(X2,X1)),implies(X1,implies(X2,X1))))), inference(etableau_closure_rule, [i_0_373, ...])). % 0.70/0.61 # End printing tableau % 0.70/0.61 # SZS output end % 0.70/0.61 # Branches closed with saturation will be marked with an "s" % 0.70/0.62 # Child (1303506) has found a proof. % 0.70/0.62 % 0.70/0.62 # Proof search is over... % 0.70/0.62 # Freeing feature tree %------------------------------------------------------------------------------