%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL445-2 : TPTP v9.3.1. Released v3.2.0. % 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 : n019.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 12:01:16 PM UTC 2026 % Result : Unsatisfiable 0.12s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL445-2 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.03 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.10/0.35 % Computer : n019.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Fri Sep 4 21:49:23 UTC 2026 % 0.10/0.35 % CPUTime : % 0.12/0.38 # No SInE strategy applied % 0.12/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.12/0.38 # and selection function SelectComplexExceptUniqMaxHorn. % 0.12/0.38 # % 0.12/0.38 # Presaturation interreduction done % 0.12/0.38 # Number of axioms: 6 Number of unprocessed: 6 % 0.12/0.38 # Tableaux proof search. % 0.12/0.38 # APR header successfully linked. % 0.12/0.38 # Hello from C++ % 0.12/0.38 # The folding up rule is enabled... % 0.12/0.38 # Local unification is enabled... % 0.12/0.38 # Any saturation attempts will use folding labels... % 0.12/0.38 # 6 beginning clauses after preprocessing and clausification % 0.12/0.38 # Creating start rules for all 3 conjectures. % 0.12/0.38 # There are 3 start rule candidates: % 0.12/0.38 # Found 4 unit axioms. % 0.12/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.12/0.38 # 3 start rule tableaux created. % 0.12/0.38 # 2 extension rule candidate clauses % 0.12/0.38 # 4 unit axiom clauses % 0.12/0.38 % 0.12/0.38 # Requested 8, 32 cores available to the main process. % 0.12/0.38 # There are not enough tableaux to fork, creating more from the initial 3 % 0.12/0.38 # Returning from population with 8 new_tableaux and 0 remaining starting tableaux. % 0.12/0.38 # We now have 8 tableaux to operate on % 0.12/0.38 # There were 1 total branch saturation attempts. % 0.12/0.38 # There were 0 of these attempts blocked. % 0.12/0.38 # There were 0 deferred branch saturation attempts. % 0.12/0.38 # There were 0 free duplicated saturations. % 0.12/0.38 # There were 1 total successful branch saturations. % 0.12/0.38 # There were 0 successful branch saturations in interreduction. % 0.12/0.38 # There were 0 successful branch saturations on the branch. % 0.12/0.38 # There were 1 successful branch saturations after the branch. % 0.12/0.38 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.38 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.38 # Begin clausification derivation % 0.12/0.38 % 0.12/0.38 # End clausification derivation % 0.12/0.38 # Begin listing active clauses obtained from FOF to CNF conversion % 0.12/0.38 cnf(i_0_7, negated_conjecture, (c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))). % 0.12/0.38 cnf(i_0_8, negated_conjecture, (c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))). % 0.12/0.38 cnf(i_0_12, plain, (c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X2,X3),X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)))). % 0.12/0.38 cnf(i_0_9, negated_conjecture, (~c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)))). % 0.12/0.38 cnf(i_0_10, plain, (c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))|~c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)))). % 0.12/0.38 cnf(i_0_11, plain, (c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)))). % 0.12/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.12/0.38 # Begin printing tableau % 0.12/0.38 # Found 5 steps % 0.12/0.38 cnf(i_0_7, negated_conjecture, (c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(start_rule)). % 0.12/0.38 cnf(i_0_15, plain, (c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))), inference(extension_rule, [i_0_10])). % 0.12/0.38 cnf(i_0_26, plain, (c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), inference(extension_rule, [i_0_11])). % 0.12/0.38 cnf(i_0_43, plain, (c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), inference(closure_rule, [i_0_9])). % 0.12/0.38 cnf(i_0_45, plain, (~c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), inference(etableau_closure_rule, [i_0_45, ...])). % 0.12/0.38 # End printing tableau % 0.12/0.38 # SZS output end % 0.12/0.38 # Branches closed with saturation will be marked with an "s" % 0.12/0.38 # Child (1333905) has found a proof. % 0.12/0.38 % 0.12/0.39 # Proof search is over... % 0.12/0.39 # Freeing feature tree %------------------------------------------------------------------------------