%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SET804+4 : TPTP v8.1.0. 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 : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 01:02:44 EDT 2022 % Result : Theorem 0.21s 0.43s % Output : CNFRefutation 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET804+4 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.35 % Computer : n009.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun Jul 10 12:49:37 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.39 # No SInE strategy applied % 0.21/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.21/0.39 # and selection function SelectComplexExceptUniqMaxHorn. % 0.21/0.39 # % 0.21/0.39 # Presaturation interreduction done % 0.21/0.39 # Number of axioms: 112 Number of unprocessed: 112 % 0.21/0.39 # Tableaux proof search. % 0.21/0.39 # APR header successfully linked. % 0.21/0.39 # Hello from C++ % 0.21/0.39 # The folding up rule is enabled... % 0.21/0.39 # Local unification is enabled... % 0.21/0.39 # Any saturation attempts will use folding labels... % 0.21/0.39 # 112 beginning clauses after preprocessing and clausification % 0.21/0.39 # Creating start rules for all 5 conjectures. % 0.21/0.39 # There are 5 start rule candidates: % 0.21/0.39 # Found 5 unit axioms. % 0.21/0.39 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.21/0.39 # 5 start rule tableaux created. % 0.21/0.39 # 107 extension rule candidate clauses % 0.21/0.39 # 5 unit axiom clauses % 0.21/0.39 % 0.21/0.39 # Requested 8, 32 cores available to the main process. % 0.21/0.39 # There are not enough tableaux to fork, creating more from the initial 5 % 0.21/0.39 # Returning from population with 10 new_tableaux and 0 remaining starting tableaux. % 0.21/0.39 # We now have 10 tableaux to operate on % 0.21/0.43 # There were 3 total branch saturation attempts. % 0.21/0.43 # There were 0 of these attempts blocked. % 0.21/0.43 # There were 0 deferred branch saturation attempts. % 0.21/0.43 # There were 0 free duplicated saturations. % 0.21/0.43 # There were 3 total successful branch saturations. % 0.21/0.43 # There were 0 successful branch saturations in interreduction. % 0.21/0.43 # There were 0 successful branch saturations on the branch. % 0.21/0.43 # There were 3 successful branch saturations after the branch. % 0.21/0.43 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.43 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.43 # Begin clausification derivation % 0.21/0.43 % 0.21/0.43 # End clausification derivation % 0.21/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.43 cnf(i_0_49, negated_conjecture, (order(esk11_0,esk12_0))). % 0.21/0.43 cnf(i_0_45, negated_conjecture, (least(esk15_0,esk11_0,esk12_0))). % 0.21/0.43 cnf(i_0_48, negated_conjecture, (min(esk13_0,esk11_0,esk12_0))). % 0.21/0.43 cnf(i_0_47, negated_conjecture, (min(esk14_0,esk11_0,esk12_0))). % 0.21/0.43 cnf(i_0_46, negated_conjecture, (esk14_0!=esk13_0)). % 0.21/0.43 cnf(i_0_8, plain, (order(X1,X2)|~total_order(X1,X2))). % 0.21/0.43 cnf(i_0_1, plain, (order(X1,X2)|~epred1_2(X1,X2))). % 0.21/0.43 cnf(i_0_2, plain, (epred1_2(X1,X2)|~order(X1,X2))). % 0.21/0.43 cnf(i_0_18, plain, (member(X1,X2)|~greatest(X1,X3,X2))). % 0.21/0.43 cnf(i_0_22, plain, (member(X1,X2)|~least(X1,X3,X2))). % 0.21/0.43 cnf(i_0_27, plain, (member(X1,X2)|~max(X1,X3,X2))). % 0.21/0.43 cnf(i_0_32, plain, (member(X1,X2)|~min(X1,X3,X2))). % 0.21/0.43 cnf(i_0_38, plain, (member(X1,X2)|~least_upper_bound(X1,X2,X3,X4))). % 0.21/0.43 cnf(i_0_44, plain, (member(X1,X2)|~greatest_lower_bound(X1,X2,X3,X4))). % 0.21/0.43 cnf(i_0_37, plain, (upper_bound(X1,X2,X3)|~least_upper_bound(X1,X3,X2,X4))). % 0.21/0.43 cnf(i_0_43, plain, (lower_bound(X1,X2,X3)|~greatest_lower_bound(X1,X3,X2,X4))). % 0.21/0.43 cnf(i_0_6, plain, (total_order(X1,X2)|member(esk1_2(X1,X2),X2)|~order(X1,X2))). % 0.21/0.43 cnf(i_0_10, plain, (upper_bound(X1,X2,X3)|member(esk3_3(X2,X3,X1),X3))). % 0.21/0.43 cnf(i_0_12, plain, (lower_bound(X1,X2,X3)|~apply(X2,X1,esk4_3(X2,X3,X1)))). % 0.21/0.43 cnf(i_0_9, plain, (upper_bound(X1,X2,X3)|~apply(X2,esk3_3(X2,X3,X1),X1))). % 0.21/0.43 cnf(i_0_23, plain, (max(X1,X2,X3)|esk7_3(X2,X3,X1)!=X1|~member(X1,X3))). % 0.21/0.43 cnf(i_0_28, plain, (min(X1,X2,X3)|esk8_3(X2,X3,X1)!=X1|~member(X1,X3))). % 0.21/0.43 cnf(i_0_13, plain, (lower_bound(X1,X2,X3)|member(esk4_3(X2,X3,X1),X3))). % 0.21/0.43 cnf(i_0_5, plain, (total_order(X1,X2)|member(esk2_2(X1,X2),X2)|~order(X1,X2))). % 0.21/0.43 cnf(i_0_112, plain, (apply(X1,X2,X2)|~epred1_2(X1,X3)|~member(X2,X3))). % 0.21/0.43 cnf(i_0_19, plain, (least(X1,X2,X3)|~apply(X2,X1,esk6_3(X2,X3,X1))|~member(X1,X3))). % 0.21/0.43 cnf(i_0_31, plain, (X1=X2|~min(X2,X3,X4)|~apply(X3,X1,X2)|~member(X1,X4))). % 0.21/0.43 cnf(i_0_109, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_20, plain, (least(X1,X2,X3)|member(esk6_3(X2,X3,X1),X3)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_26, plain, (X1=X2|~max(X2,X3,X4)|~apply(X3,X2,X1)|~member(X1,X4))). % 0.21/0.43 cnf(i_0_15, plain, (greatest(X1,X2,X3)|~apply(X2,esk5_3(X2,X3,X1),X1)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_4, plain, (total_order(X1,X2)|~apply(X1,esk1_2(X1,X2),esk2_2(X1,X2))|~order(X1,X2))). % 0.21/0.43 cnf(i_0_3, plain, (total_order(X1,X2)|~apply(X1,esk2_2(X1,X2),esk1_2(X1,X2))|~order(X1,X2))). % 0.21/0.43 cnf(i_0_30, plain, (min(X1,X2,X3)|member(esk8_3(X2,X3,X1),X3)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_21, plain, (apply(X1,X2,X3)|~least(X2,X1,X4)|~member(X3,X4))). % 0.21/0.43 cnf(i_0_17, plain, (apply(X1,X2,X3)|~greatest(X3,X1,X4)|~member(X2,X4))). % 0.21/0.43 cnf(i_0_11, plain, (apply(X1,X2,X3)|~upper_bound(X3,X1,X4)|~member(X2,X4))). % 0.21/0.43 cnf(i_0_14, plain, (apply(X1,X2,X3)|~lower_bound(X2,X1,X4)|~member(X3,X4))). % 0.21/0.43 cnf(i_0_108, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_16, plain, (greatest(X1,X2,X3)|member(esk5_3(X2,X3,X1),X3)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_33, plain, (least_upper_bound(X1,X2,X3,X4)|~upper_bound(X1,X3,X2)|~apply(X3,X1,esk9_4(X1,X2,X3,X4))|~member(X1,X2))). % 0.21/0.43 cnf(i_0_39, plain, (greatest_lower_bound(X1,X2,X3,X4)|~lower_bound(X1,X3,X2)|~apply(X3,esk10_4(X1,X2,X3,X4),X1)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_25, plain, (max(X1,X2,X3)|member(esk7_3(X2,X3,X1),X3)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_36, plain, (apply(X1,X2,X3)|~least_upper_bound(X2,X4,X1,X5)|~upper_bound(X3,X1,X4)|~member(X3,X5))). % 0.21/0.43 cnf(i_0_29, plain, (min(X1,X2,X3)|apply(X2,esk8_3(X2,X3,X1),X1)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_24, plain, (max(X1,X2,X3)|apply(X2,X1,esk7_3(X2,X3,X1))|~member(X1,X3))). % 0.21/0.43 cnf(i_0_42, plain, (apply(X1,X2,X3)|~greatest_lower_bound(X3,X4,X1,X5)|~lower_bound(X2,X1,X4)|~member(X2,X5))). % 0.21/0.43 cnf(i_0_85, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_84, plain, (# There were 3 total branch saturation attempts. % 0.21/0.43 # There were 0 of these attempts blocked. % 0.21/0.43 # There were 0 deferred branch saturation attempts. % 0.21/0.43 # There were 0 free duplicated saturations. % 0.21/0.43 # There were 3 total successful branch saturations. % 0.21/0.43 # There were 0 successful branch saturations in interreduction. % 0.21/0.43 # There were 0 successful branch saturations on the branch. % 0.21/0.43 # There were 3 successful branch saturations after the branch. % 0.21/0.43 epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_107, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_83, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_111, plain, (X1=X2|~epred1_2(X3,X4)|~apply(X3,X2,X1)|~apply(X3,X1,X2)|~member(X2,X4)|~member(X1,X4))). % 0.21/0.43 cnf(i_0_50, plain, (epred1_2(X1,X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_55, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_54, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_103, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_53, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_80, plain, (epred1_2(X1,X2)|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_35, plain, (least_upper_bound(X1,X2,X3,X4)|member(esk9_4(X1,X2,X3,X4),X4)|~upper_bound(X1,X3,X2)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_41, plain, (greatest_lower_bound(X1,X2,X3,X4)|member(esk10_4(X1,X2,X3,X4),X4)|~lower_bound(X1,X3,X2)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_102, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_101, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_7, plain, (apply(X1,X2,X3)|apply(X1,X3,X2)|~total_order(X1,X4)|~member(X3,X4)|~member(X2,X4))). % 0.21/0.43 cnf(i_0_74, plain, (epred1_2(X1,X2)|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_68, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_79, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_34, plain, (least_upper_bound(X1,X2,X3,X4)|upper_bound(esk9_4(X1,X2,X3,X4),X3,X2)|~upper_bound(X1,X3,X2)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_78, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_77, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_73, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_72, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_97, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk19_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_40, plain, (greatest_lower_bound(X1,X2,X3,X4)|lower_bound(esk10_4(X1,X2,X3,X4),X3,X2)|~lower_bound(X1,X3,X2)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_71, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_104, plain, (epred1_2(X1,X2)|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_98, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_110, plain, (apply(X1,X2,X3)|~epred1_2(X1,X4)|~apply(X1,X5,X3)|~apply(X1,X2,X5)|~member(X3,X4)|~member(X5,X4)|~member(X2,X4))). % 0.21/0.43 cnf(i_0_82, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_81, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_52, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|esk# SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.43 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.21/0.43 # Begin clausification derivation % 0.21/0.43 % 0.21/0.43 # End clausification derivation % 0.21/0.43 # Begin listing active clauses obtained from FOF to CNF conversion % 0.21/0.43 cnf(i_0_49, negated_conjecture, (order(esk11_0,esk12_0))). % 0.21/0.43 cnf(i_0_45, negated_conjecture, (least(esk15_0,esk11_0,esk12_0))). % 0.21/0.43 cnf(i_0_48, negated_conjecture, (min(esk13_0,esk11_0,esk12_0))). % 0.21/0.43 cnf(i_0_47, negated_conjecture, (min(esk14_0,esk11_0,esk12_0))). % 0.21/0.43 cnf(i_0_46, negated_conjecture, (esk14_0!=esk13_0)). % 0.21/0.43 cnf(i_0_8, plain, (order(X1,X2)|~total_order(X1,X2))). % 0.21/0.43 cnf(i_0_1, plain, (order(X1,X2)|~epred1_2(X1,X2))). % 0.21/0.43 cnf(i_0_2, plain, (epred1_2(X1,X2)|~order(X1,X2))). % 0.21/0.43 cnf(i_0_18, plain, (member(X1,X2)|~greatest(X1,X3,X2))). % 0.21/0.43 cnf(i_0_22, plain, (member(X1,X2)|~least(X1,X3,X2))). % 0.21/0.43 cnf(i_0_27, plain, (member(X1,X2)|~max(X1,X3,X2))). % 0.21/0.43 cnf(i_0_32, plain, (member(X1,X2)|~min(X1,X3,X2))). % 0.21/0.43 cnf(i_0_38, plain, (member(X1,X2)|~least_upper_bound(X1,X2,X3,X4))). % 0.21/0.43 cnf(i_0_44, plain, (member(X1,X2)|~greatest_lower_bound(X1,X2,X3,X4))). % 0.21/0.43 cnf(i_0_37, plain, (upper_bound(X1,X2,X3)|~least_upper_bound(X1,X3,X2,X4))). % 0.21/0.43 cnf(i_0_43, plain, (lower_bound(X1,X2,X3)|~greatest_lower_bound(X1,X3,X2,X4))). % 0.21/0.43 cnf(i_0_6, plain, (total_order(X1,X2)|member(esk1_2(X1,X2),X2)|~order(X1,X2))). % 0.21/0.43 cnf(i_0_10, plain, (upper_bound(X1,X2,X3)|member(esk3_3(X2,X3,X1),X3))). % 0.21/0.43 cnf(i_0_12, plain, (lower_bound(X1,X2,X3)|~apply(X2,X1,esk4_3(X2,X3,X1)))). % 0.21/0.43 cnf(i_0_9, plain, (upper_bound(X1,X2,X3)|~apply(X2,esk3_3(X2,X3,X1),X1))). % 0.21/0.43 cnf(i_0_23, plain, (max(X1,X2,X3)|esk7_3(X2,X3,X1)!=X1|~member(X1,X3))). % 0.21/0.43 cnf(i_0_28, plain, (min(X1,X2,X3)|esk8_3(X2,X3,X1)!=X1|~member(X1,X3))). % 0.21/0.43 cnf(i_0_13, plain, (lower_bound(X1,X2,X3)|member(esk4_3(X2,X3,X1),X3))). % 0.21/0.43 cnf(i_0_5, plain, (total_order(X1,X2)|member(esk2_2(X1,X2),X2)|~order(X1,X2))). % 0.21/0.43 cnf(i_0_112, plain, (apply(X1,X2,X2)|~epred1_2(X1,X3)|~member(X2,X3))). % 0.21/0.43 cnf(i_0_19, plain, (least(X1,X2,X3)|~apply(X2,X1,esk6_3(X2,X3,X1))|~member(X1,X3))). % 0.21/0.43 cnf(i_0_31, plain, (X1=X2|~min(X2,X3,X4)|~apply(X3,X1,X2)|~member(X1,X4))). % 0.21/0.43 cnf(i_0_109, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_20, plain, (least(X1,X2,X3)|member(esk6_3(X2,X3,X1),X3)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_26, plain, (X1=X2|~max(X2,X3,X4)|~apply(X3,X2,X1)|~member(X1,X4))). % 0.21/0.43 cnf(i_0_15, plain, (greatest(X1,X2,X3)|~apply(X2,esk5_3(X2,X3,X1),X1)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_4, plain, (total_order(X1,X2)|~apply(X1,esk1_2(X1,X2),esk2_2(X1,X2))|~order(X1,X2))). % 0.21/0.43 cnf(i_0_3, plain, (total_order(X1,X2)|~apply(X1,esk2_2(X1,X2),esk1_2(X1,X2))|~order(X1,X2))). % 0.21/0.43 cnf(i_0_30, plain, (min(X1,X2,X3)|member(esk8_3(X2,X3,X1),X3)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_21, plain, (apply(X1,X2,X3)|~least(X2,X1,X4)|~member(X3,X4))). % 0.21/0.43 cnf(i_0_17, plain, (apply(X1,X2,X3)|~greatest(X3,X1,X4)|~member(X2,X4))). % 0.21/0.43 cnf(i_0_11, plain, (apply(X1,X2,X3)|~upper_bound(X3,X1,X4)|~member(X2,X4))). % 0.21/0.43 cnf(i_0_14, plain, (apply(X1,X2,X3)|~lower_bound(X2,X1,X4)|~member(X3,X4))). % 0.21/0.43 cnf(i_0_108, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_16, plain, (greatest(X1,X2,X3)|member(esk5_3(X2,X3,X1),X3)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_33, plain, (least_upper_bound(X1,X2,X3,X4)|~upper_bound(X1,X3,X2)|~apply(X3,X1,esk9_4(X1,X2,X3,X4))|~member(X1,X2))). % 0.21/0.43 cnf(i_0_39, plain, (greatest_lower_bound(X1,X2,X3,X4)|~lower_bound(X1,X3,X2)|~apply(X3,esk10_4(X1,X2,X3,X4),X1)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_25, plain, (max(X1,X2,X3)|member(esk7_3(X2,X3,X1),X3)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_36, plain, (apply(X1,X2,X3)|~least_upper_bound(X2,X4,X1,X5)|~upper_bound(X3,X1,X4)|~member(X3,X5))). % 0.21/0.43 cnf(i_0_29, plain, (min(X1,X2,X3)|apply(X2,esk8_3(X2,X3,X1),X1)|~member(X1,X3))). % 0.21/0.43 cnf(i_0_24, plain, (max(X1,X2,X3)|apply(X2,X1,esk7_3(X2,X3,X1))|~member(X1,X3))). % 0.21/0.43 cnf(i_0_42, plain, (apply(X1,X2,X3)|~greatest_lower_bound(X3,X4,X1,X5)|~lower_bound(X2,X1,X4)|~member(X2,X5))). % 0.21/0.43 cnf(i_0_85, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_84, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_107, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_83, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_111, plain, (X1=X2|~epred1_2(X3,X4)|~apply(X3,X2,X1)|~apply(X3,X1,X2)|~member(X2,X4)|~member(X1,X4))). % 0.21/0.43 cnf(i_0_50, plain, (epred1_2(X1,X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_55, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_54, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_103, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_53, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_80, plain, (epred1_2(X1,X2)|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_35, plain, (least_upper_bound(X1,X2,X3,X4)|member(esk9_4(X1,X2,X3,X4),X4)|~upper_bound(X1,X3,X2)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_41, plain, (greatest_lower_bound(X1,X2,X3,X4)|member(esk10_4(X1,X2,X3,X4),X4)|~lower_bound(X1,X3,X2)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_102, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_101, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_7, plain, (apply(X1,X2,X3)|apply(X1,X3,X2)|~total_order(X1,X4)|~member(X3,X4)|~member(X2,X4))). % 0.21/0.43 cnf(i_0_74, plain, (epred1_2(X1,X2)|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_68, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_79, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_34, plain, (least_upper_bound(X1,X2,X3,X4)|upper_bound(esk9_4(X1,X2,X3,X4),X3,X2)|~upper_bound(X1,X3,X2)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_78, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_77, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_73, plain, (epred1_2(X1,X2)|member(esk19_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_72, plain, (epred1_2(X1,X2)|member(esk20_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_97, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk19_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_40, plain, (greatest_lower_bound(X1,X2,X3,X4)|lower_bound(esk10_4(X1,X2,X3,X4),X3,X2)|~lower_bound(X1,X3,X2)|~member(X1,X2))). % 0.21/0.43 cnf(i_0_71, plain, (epred1_2(X1,X2)|member(esk21_2(X2,X1),X2)|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_104, plain, (epred1_2(X1,X2)|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_98, plain, (epred1_2(X1,X2)|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_110, plain, (apply(X1,X2,X3)|~epred1_2(X1,X4)|~apply(X1,X5,X3)|~apply(X1,X2,X5)|~member(X3,X4)|~member(X5,X4)|~member(X2,X4))). % 0.21/0.43 cnf(i_0_82, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_81, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk16_2(X2,X1),X2)|esk18_2(X2,X1)!=esk17_2(X2,X1))). % 0.21/0.43 cnf(i_0_52, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_51, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_92, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk16_2(X2,X1),X2)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_91, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk19_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_96, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk20_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_62, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_56, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_86, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk16_2(X2,X1),X2)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_67, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk19_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_90, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk20_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_95, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk21_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_89, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk21_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_106, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_105, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_100, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_99, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_61, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk19_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_66, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk20_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_60, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk20_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_65, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk21_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_94, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_59, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk21_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_76, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_75, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_70, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_93, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_88, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_69, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_64, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_63, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_58, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_87, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_57, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.43 # Begin printing tableau % 0.21/0.43 # Found 10 steps % 0.21/0.43 cnf(i_0_47, negated_conjecture, (min(esk14_0,esk11_0,esk12_0)), inference(start_rule)). % 0.21/0.43 cnf(i_0_114, plain, (min(esk14_0,esk11_0,esk12_0)), inference(extension_rule, [i_0_31])). % 0.21/0.43 cnf(i_0_551, plain, (esk14_0=esk13_0), inference(closure_rule, [i_0_46])). % 0.21/0.43 cnf(i_0_553, plain, (~apply(esk11_0,esk13_0,esk14_0)), inference(extension_rule, [i_0_21])). % 0.21/0.43 cnf(i_0_554, plain, (~member(esk13_0,esk12_0)), inference(etableau_closure_rule, [i_0_554, ...])). % 0.21/0.43 cnf(i_0_1734, plain, (~least(esk13_0,esk11_0,esk12_0)), inference(extension_rule, [i_0_19])). % 0.21/0.43 cnf(i_0_1735, plain, (~member(esk14_0,esk12_0)), inference(extension_rule, [i_0_32])). % 0.21/0.43 cnf(i_0_1820, plain, (~min(esk14_0,esk11_0,esk12_0)), inference(closure_rule, [i_0_47])). % 0.21/0.43 cnf(i_0_1787, plain, (~apply(esk11_0,esk13_0,esk6_3(esk11_0,esk12_0,esk13_0))), inference(etableau_closure_rule, [i_0_1787, ...])). % 0.21/0.43 cnf(i_0_1788, plain, (~member(esk13_0,esk12_0)), inference(etableau_closure_rule, [i_0_1788, ...])). % 0.21/0.43 # End printing tableau % 0.21/0.43 # SZS output end % 0.21/0.43 # Branches closed with saturation will be marked with an "s" % 0.21/0.43 18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_51, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|esk18_2(X2,X1)!=esk17_2(X2,X1)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_92, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk16_2(X2,X1),X2)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_91, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk19_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_96, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk20_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_62, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_56, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1))|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_86, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk16_2(X2,X1),X2)|~apply(X1,esk19_2(X2,X1),esk21_2(X2,X1)))). % 0.21/0.43 cnf(i_0_67, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk19_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_90, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk20_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_95, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk21_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_89, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk21_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_106, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_105, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk17_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_100, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_99, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk18_2(X2,X1),X2)|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_61, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk19_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_66, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk20_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_60, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk20_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_65, plain, (epred1_2(X1,X2)|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk21_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_94, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_59, plain, (epred1_2(X1,X2)|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk21_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_76, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_75, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk17_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_70, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_93, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_88, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_69, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|member(esk18_2(X2,X1),X2)|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_64, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_63, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|apply(X1,esk17_2(X2,X1),esk18_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_58, plain, (epred1_2(X1,X2)|apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 cnf(i_0_87, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|member(esk16_2(X2,X1),X2))). % 0.21/0.43 cnf(i_0_57, plain, (epred1_2(X1,X2)|apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))|apply(X1,esk18_2(X2,X1),esk17_2(X2,X1))|~apply(X1,esk16_2(X2,X1),esk16_2(X2,X1)))). % 0.21/0.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.21/0.43 # Begin printing tableau % 0.21/0.43 # Found 8 steps % 0.21/0.43 cnf(i_0_49, negated_conjecture, (order(esk11_0,esk12_0)), inference(start_rule)). % 0.21/0.43 cnf(i_0_117, plain, (order(esk11_0,esk12_0)), inference(extension_rule, [i_0_2])). % 0.21/0.43 cnf(i_0_1662, plain, (epred1_2(esk11_0,esk12_0)), inference(extension_rule, [i_0_112])). % 0.21/0.43 cnf(i_0_1704, plain, (apply(esk11_0,esk14_0,esk14_0)), inference(extension_rule, [i_0_31])). % 0.21/0.43 cnf(i_0_1751, plain, (~min(esk14_0,esk11_0,esk12_0)), inference(closure_rule, [i_0_47])). % 0.21/0.43 cnf(i_0_1706, plain, (~member(esk14_0,esk12_0)), inference(etableau_closure_rule, [i_0_1706, ...])). % 0.21/0.43 cnf(i_0_1750, plain, (esk14_0=esk14_0), inference(etableau_closure_rule, [i_0_1750, ...])). % 0.21/0.43 cnf(i_0_1753, plain, (~member(esk14_0,esk12_0)), inference(etableau_closure_rule, [i_0_1753, ...])). % 0.21/0.43 # End printing tableau % 0.21/0.43 # SZS output end % 0.21/0.43 # Branches closed with saturation will be marked with an "s" % 0.21/0.43 # Child (11671) has found a proof. % 0.21/0.43 % 0.21/0.43 # Proof search is over... % 0.21/0.43 # Freeing feature tree %------------------------------------------------------------------------------