%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : LCL434-2 : 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 : n020.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 12:01:14 PM UTC 2026 % Result : Unsatisfiable 0.14s 0.49s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL434-2 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.06 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.14/0.43 % Computer : n020.cluster.edu % 0.14/0.43 % Model : x86_64 x86_64 % 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.43 % Memory : 8046.5625MB % 0.14/0.43 % OS : Linux 6.8.0-71-generic % 0.14/0.43 % CPULimit : 300 % 0.14/0.43 % WCLimit : 300 % 0.14/0.43 % DateTime : Sun Sep 6 01:31:27 UTC 2026 % 0.14/0.43 % CPUTime : % 0.14/0.48 # No SInE strategy applied % 0.14/0.48 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.14/0.48 # and selection function SelectComplexExceptUniqMaxHorn. % 0.14/0.48 # % 0.14/0.48 # Presaturation interreduction done % 0.14/0.48 # Number of axioms: 6 Number of unprocessed: 6 % 0.14/0.48 # Tableaux proof search. % 0.14/0.48 # APR header successfully linked. % 0.14/0.48 # Hello from C++ % 0.14/0.49 # The folding up rule is enabled... % 0.14/0.49 # Local unification is enabled... % 0.14/0.49 # Any saturation attempts will use folding labels... % 0.14/0.49 # 6 beginning clauses after preprocessing and clausification % 0.14/0.49 # Creating start rules for all 2 conjectures. % 0.14/0.49 # There are 2 start rule candidates: % 0.14/0.49 # Found 3 unit axioms. % 0.14/0.49 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.14/0.49 # 2 start rule tableaux created. % 0.14/0.49 # 3 extension rule candidate clauses % 0.14/0.49 # 3 unit axiom clauses % 0.14/0.49 % 0.14/0.49 # Requested 8, 32 cores available to the main process. % 0.14/0.49 # There are not enough tableaux to fork, creating more from the initial 2 % 0.14/0.49 # There were 2 total branch saturation attempts. % 0.14/0.49 # There were 0 of these attempts blocked. % 0.14/0.49 # There were 0 deferred branch saturation attempts. % 0.14/0.49 # There were 0 free duplicated saturations. % 0.14/0.49 # There were 2 total successful branch saturations. % 0.14/0.49 # There were 1 successful branch saturations in interreduction. % 0.14/0.49 # There were 0 successful branch saturations on the branch. % 0.14/0.49 # There were 1 successful branch saturations after the branch. % 0.14/0.49 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.14/0.49 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.14/0.49 # Begin clausification derivation % 0.14/0.49 % 0.14/0.49 # End clausification derivation % 0.14/0.49 # Begin listing active clauses obtained from FOF to CNF conversion % 0.14/0.49 cnf(i_0_7, negated_conjecture, (c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)))). % 0.14/0.49 cnf(i_0_10, plain, (c_in(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)))). % 0.14/0.49 cnf(i_0_8, negated_conjecture, (~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)))). % 0.14/0.49 cnf(i_0_9, plain, (c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))|~c_in(X1,X2,tc_PropLog_Opl(X3)))). % 0.14/0.49 cnf(i_0_12, plain, (X1=X2|c_in(X1,X3,X4)|~c_in(X1,c_insert(X2,X3,X4),X4))). % 0.14/0.49 cnf(i_0_11, 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(X4,X3),tc_PropLog_Opl(X3)))). % 0.14/0.49 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.14/0.49 # Begin printing tableau % 0.14/0.49 # Found 5 steps % 0.14/0.49 cnf(i_0_7, negated_conjecture, (c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))), inference(start_rule)). % 0.14/0.49 cnf(i_0_14, plain, (c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))), inference(extension_rule, [i_0_12])). % 0.14/0.49 cnf(i_0_25, plain, (c_in(v_pa,v_H,tc_PropLog_Opl(t_a))), inference(extension_rule, [i_0_9])). % 0.14/0.49 cnf(i_0_24, plain, (v_p=v_pa), inference(etableau_closure_rule, [i_0_24, ...])). % 0.14/0.49 cnf(i_0_36, plain, (c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))), inference(etableau_closure_rule, [i_0_36, ...])). % 0.14/0.49 # End printing tableau % 0.14/0.49 # SZS output end % 0.14/0.49 # Branches closed with saturation will be marked with an "s" % 0.14/0.49 # Returning from population with 5 new_tableaux and 0 remaining starting tableaux. % 0.14/0.49 # We now have 5 tableaux to operate on % 0.14/0.49 # Found closed tableau during pool population. % 0.14/0.49 # Proof search is over... % 0.14/0.49 # Freeing feature tree %------------------------------------------------------------------------------