%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0. % 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 : n014.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 12:00:36 PM UTC 2026 % Result : Unsatisfiable 0.13s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL109-5 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.08/0.35 % Computer : n014.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 19:50:12 UTC 2026 % 0.08/0.36 % CPUTime : % 0.13/0.37 # No SInE strategy applied % 0.13/0.37 # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.13/0.37 # and selection function SelectComplexExceptUniqMaxHorn. % 0.13/0.37 # % 0.13/0.37 # Presaturation interreduction done % 0.13/0.37 # Number of axioms: 15 Number of unprocessed: 14 % 0.13/0.37 # Tableaux proof search. % 0.13/0.37 # APR header successfully linked. % 0.13/0.37 # Hello from C++ % 0.13/0.38 # The folding up rule is enabled... % 0.13/0.38 # Local unification is enabled... % 0.13/0.38 # Any saturation attempts will use folding labels... % 0.13/0.38 # 14 beginning clauses after preprocessing and clausification % 0.13/0.38 # Creating start rules for all 1 conjectures. % 0.13/0.38 # There are 1 start rule candidates: % 0.13/0.38 # Found 9 unit axioms. % 0.13/0.38 # 1 start rule tableaux created. % 0.13/0.38 # 5 extension rule candidate clauses % 0.13/0.38 # 9 unit axiom clauses % 0.13/0.38 % 0.13/0.38 # Requested 8, 32 cores available to the main process. % 0.13/0.38 # There are not enough tableaux to fork, creating more from the initial 1 % 0.13/0.38 # There were 1 total branch saturation attempts. % 0.13/0.38 # There were 0 of these attempts blocked. % 0.13/0.38 # There were 0 deferred branch saturation attempts. % 0.13/0.38 # There were 0 free duplicated saturations. % 0.13/0.38 # There were 1 total successful branch saturations. % 0.13/0.38 # There were 0 successful branch saturations in interreduction. % 0.13/0.38 # There were 0 successful branch saturations on the branch. % 0.13/0.38 # There were 1 successful branch saturations after the branch. % 0.13/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.38 # Begin clausification derivation % 0.13/0.38 % 0.13/0.38 # End clausification derivation % 0.13/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.13/0.38 cnf(i_0_18, plain, (implies(truth,X1)=X1)). % 0.13/0.38 cnf(i_0_21, plain, (implies(implies(not(X1),not(X2)),implies(X2,X1))=truth)). % 0.13/0.38 cnf(i_0_19, plain, (implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))=truth)). % 0.13/0.38 cnf(i_0_31, plain, (not(not(implies(implies(not(X1),not(X2)),not(X2))))=implies(implies(not(X1),not(X2)),not(X2)))). % 0.13/0.38 cnf(i_0_30, plain, (not(implies(implies(not(not(X1)),not(not(X2))),not(not(X2))))=not(implies(implies(X1,X2),X2)))). % 0.13/0.38 cnf(i_0_32, plain, (not(implies(implies(not(implies(X1,X2)),not(implies(X3,X2))),not(implies(X3,X2))))=implies(implies(implies(X1,X3),X3),X2))). % 0.13/0.38 cnf(i_0_33, plain, (not(implies(implies(not(implies(X1,X2)),not(implies(X1,X3))),not(implies(X1,X3))))=implies(X1,not(implies(implies(not(X2),not(X3)),not(X3)))))). % 0.13/0.38 cnf(i_0_20, plain, (implies(implies(X1,X2),X2)=implies(implies(X2,X1),X1))). % 0.13/0.38 cnf(i_0_34, negated_conjecture, (implies(implies(implies(x,y),implies(y,x)),implies(y,x))!=truth)). % 0.13/0.38 cnf(i_0_24, plain, (implies(X1,X2)=truth|~ordered(X1,X2))). % 0.13/0.38 cnf(i_0_25, plain, (ordered(X1,X2)|implies(X1,X2)!=truth)). % 0.13/0.38 cnf(i_0_28, plain, (ordered(X1,implies(X2,X3))|~ordered(X2,implies(X1,X3)))). % 0.13/0.38 cnf(i_0_27, plain, (ordered(implies(X1,X2),implies(X1,X3))|~ordered(X2,X3))). % 0.13/0.38 cnf(i_0_26, plain, (ordered(implies(X1,X2),implies(X3,X2))|~ordered(X1,X3))). % 0.13/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.13/0.38 # Begin printing tableau % 0.13/0.38 # Found 4 steps % 0.13/0.38 cnf(i_0_34, negated_conjecture, (implies(implies(implies(x,y),implies(y,x)),implies(y,x))!=truth), inference(start_rule)). % 0.13/0.38 cnf(i_0_35, plain, (implies(implies(implies(x,y),implies(y,x)),implies(y,x))!=truth), inference(extension_rule, [i_0_24])). % 0.13/0.38 cnf(i_0_37, plain, (~ordered(implies(implies(x,y),implies(y,x)),implies(y,x))), inference(extension_rule, [i_0_28])). % 0.13/0.38 cnf(i_0_51, plain, (~ordered(y,implies(implies(implies(x,y),implies(y,x)),x))), inference(etableau_closure_rule, [i_0_51, ...])). % 0.13/0.38 # End printing tableau % 0.13/0.38 # SZS output end % 0.13/0.38 # Branches closed with saturation will be marked with an "s" % 0.13/0.38 # Returning from population with 1 new_tableaux and 0 remaining starting tableaux. % 0.13/0.38 # We now have 1 tableaux to operate on % 0.13/0.38 # Found closed tableau during pool population. % 0.13/0.38 # Proof search is over... % 0.13/0.38 # Freeing feature tree %------------------------------------------------------------------------------