0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.12/0.34 Computer : n021.cluster.edu 0.12/0.34 Model : x86_64 x86_64 0.12/0.34 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 RAMPerCPU : 8042.1875MB 0.12/0.34 OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 04:29:05 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.36 # No SInE strategy applied 0.12/0.36 # Auto-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S4SI 0.12/0.36 # and selection function SelectNewComplexAHPNS. 0.12/0.36 # 0.12/0.36 # Number of axioms: 140 Number of unprocessed: 140 0.12/0.36 # Tableaux proof search. 0.12/0.36 # APR header successfully linked. 0.12/0.36 # Hello from C++ 0.12/0.37 # The folding up rule is enabled... 0.12/0.37 # Local unification is enabled... 0.12/0.37 # Any saturation attempts will use folding labels... 0.12/0.37 # 140 beginning clauses after preprocessing and clausification 0.12/0.37 # Creating start rules for all 6 conjectures. 0.12/0.37 # There are 6 start rule candidates: 0.12/0.37 # Found 5 unit axioms. 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. 0.12/0.37 # 6 start rule tableaux created. 0.12/0.37 # 135 extension rule candidate clauses 0.12/0.37 # 5 unit axiom clauses 0.12/0.37 0.12/0.37 # Requested 8, 32 cores available to the main process. 0.12/0.37 # There are not enough tableaux to fork, creating more from the initial 6 0.12/0.37 # Returning from population with 54 new_tableaux and 0 remaining starting tableaux. 0.12/0.37 # We now have 54 tableaux to operate on 12.72/1.99 # There were 1 total branch saturation attempts. 12.72/1.99 # There were 0 of these attempts blocked. 12.72/1.99 # There were 0 deferred branch saturation attempts. 12.72/1.99 # There were 0 free duplicated saturations. 12.72/1.99 # There were 1 total successful branch saturations. 12.72/1.99 # There were 0 successful branch saturations in interreduction. 12.72/1.99 # There were 0 successful branch saturations on the branch. 12.72/1.99 # There were 1 successful branch saturations after the branch. 12.72/1.99 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 12.72/1.99 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 12.72/1.99 # Begin clausification derivation 12.72/1.99 12.72/1.99 # End clausification derivation 12.72/1.99 # Begin listing active clauses obtained from FOF to CNF conversion 12.72/1.99 cnf(i_0_139, negated_conjecture, (image2(esk41_0,esk43_0)=esk45_0)). 12.72/1.99 cnf(i_0_136, negated_conjecture, (subset(esk45_0,esk44_0))). 12.72/1.99 cnf(i_0_12, plain, (~member(X1,empty_set))). 12.72/1.99 cnf(i_0_4, plain, (member(X2,singleton(X1))|X1!=X2)). 12.72/1.99 cnf(i_0_5, plain, (X1=X2|~member(X1,singleton(X2)))). 12.72/1.99 cnf(i_0_6, plain, (subset(X1,X2)|~equal_set(X2,X1))). 12.72/1.99 cnf(i_0_7, plain, (subset(X1,X2)|~equal_set(X1,X2))). 12.72/1.99 cnf(i_0_17, plain, (member(X1,power_set(X2))|~subset(X1,X2))). 12.72/1.99 cnf(i_0_9, plain, (member(X1,unordered_pair(X3,X2))|X1!=X2)). 12.72/1.99 cnf(i_0_10, plain, (member(X1,unordered_pair(X2,X3))|X1!=X2)). 12.72/1.99 cnf(i_0_16, plain, (subset(X1,X2)|~member(X1,power_set(X2)))). 12.72/1.99 cnf(i_0_140, negated_conjecture, (maps(esk41_0,esk43_0,esk44_0))). 12.72/1.99 cnf(i_0_19, plain, (subset(X1,X2)|member(esk3_2(X1,X2),X1))). 12.72/1.99 cnf(i_0_110, plain, (identity(X1,X2)|member(esk30_2(X1,X2),X2))). 12.72/1.99 cnf(i_0_20, plain, (member(X3,X2)|~member(X3,X1)|~subset(X1,X2))). 12.72/1.99 cnf(i_0_8, plain, (equal_set(X1,X2)|~subset(X2,X1)|~subset(X1,X2))). 12.72/1.99 cnf(i_0_3, plain, (member(X1,product(X2))|member(esk1_2(X1,X2),X2))). 12.72/1.99 cnf(i_0_25, plain, (member(X1,union(X3,X2))|~member(X1,X2))). 12.72/1.99 cnf(i_0_24, plain, (member(X1,union(X2,X3))|~member(X1,X2))). 12.72/1.99 cnf(i_0_15, plain, (member(X3,sum(X2))|~member(X3,X1)|~member(X1,X2))). 12.72/1.99 cnf(i_0_11, plain, (X1=X3|X1=X2|~member(X1,unordered_pair(X2,X3)))). 12.72/1.99 cnf(i_0_1, plain, (member(X1,X3)|~member(X3,X2)|~member(X1,product(X2)))). 12.72/1.99 cnf(i_0_13, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum(X2)))). 12.72/1.99 cnf(i_0_14, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum(X2)))). 12.72/1.99 cnf(i_0_29, plain, (member(X1,X2)|member(X1,difference(X3,X2))|~member(X1,X3))). 12.72/1.99 cnf(i_0_22, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). 12.72/1.99 cnf(i_0_21, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). 12.72/1.99 cnf(i_0_27, plain, (member(X1,X2)|~member(X1,difference(X2,X3)))). 12.72/1.99 cnf(i_0_18, plain, (subset(X1,X2)|~member(esk3_2(X1,X2),X2))). 12.72/1.99 cnf(i_0_135, negated_conjecture, (~surjective(esk42_0,esk43_0,esk45_0))). 12.72/1.99 cnf(i_0_2, plain, (member(X1,product(X2))|~member(X1,esk1_2(X1,X2)))). 12.72/1.99 cnf(i_0_23, plain, (member(X1,intersection(X3,X2))|~member(X1,X3)|~member(X1,X2))). 12.72/1.99 cnf(i_0_28, plain, (~member(X1,X2)|~member(X1,difference(X3,X2)))). 12.72/1.99 cnf(i_0_26, plain, (member(X1,X3)|member(X1,X2)|~member(X1,union(X2,X3)))). 12.72/1.99 cnf(i_0_111, plain, (apply(X1,X3,X3)|~member(X3,X2)|~identity(X1,X2))). 12.72/1.99 cnf(i_0_39, plain, (surjective(X1,X2,X3)|~one_to_one(X1,X2,X3))). 12.72/1.99 cnf(i_0_38, plain, (injective(X1,X2,X3)|~one_to_one(X1,X2,X3))). 12.72/1.99 cnf(i_0_54, plain, (member(X3,image2(X1,X4))|~member(X2,X4)|~apply(X1,X2,X3))). 12.72/1.99 cnf(i_0_118, plain, (member(X2,inverse_image2(X1,X4))|~member(X3,X4)|~apply(X1,X2,X3))). 12.72/1.99 cnf(i_0_113, plain, (surjective(X1,X2,X3)|member(esk32_3(X1,X2,X3),X3))). 12.72/1.99 cnf(i_0_132, plain, (injective(X1,X2,X3)|member(esk38_3(X1,X2,X3),X2))). 12.72/1.99 cnf(i_0_134, plain, (injective(X1,X2,X3)|member(esk39_3(X1,X2,X3),X2))). 12.72/1.99 cnf(i_0_133, plain, (injective(X1,X2,X3)|member(esk40_3(X1,X2,X3),X3))). 12.72/1.99 cnf(i_0_138, negated_conjecture, (apply(esk41_0,X1,X2)|~member(X2,esk45_0)|~member(X1,esk43_0)|~apply(esk42_0,X1,X2))). 12.72/1.99 cnf(i_0_137, negated_conjecture, (apply(esk42_0,X1,X2)|~member(X2,esk45_0)|~member(X1,esk43_0)|~apply(esk41_0,X1,X2))). 12.72/1.99 cnf(i_0_109, plain, (identity(X1,X2)|~apply(X1,esk30_2(X1,X2),esk30_2(X1,X2)))). 12.72/1.99 cnf(i_0_55, plain, (member(esk12_3(X1,X2,X3),X2)|~member(X3,image2(X1,X2)))). 12.72/1.99 cnf(i_0_116, plain, (member(esk33_3(X1,X2,X3),X2)|~member(X3,inverse_image2(X1,X2)))). 12.72/1.99 cnf(i_0_81, plain, (member(X1,X2)|~member(X1,inverse_image3(X3,X4,X2)))). 12.72/1.99 cnf(i_0_88, plain, (member(X1,X2)|~member(X1,image3(X3,X4,X2)))). 12.72/1.99 cnf(i_0_117, plain, (apply(X1,X2,esk33_3(X1,X3,X2))|~member(X2,inverse_image2(X1,X3)))). 12.72/1.99 cnf(i_0_56, plain, (apply(X1,esk12_3(X1,X2,X3),X3)|~member(X3,image2(X1,X2)))). 12.72/1.99 cnf(i_0_129, plain, (injective(X1,X2,X3)|esk39_3(X1,X2,X3)!=esk38_3(X1,X2,X3))). 12.72/1.99 cnf(i_0_37, plain, (one_to_one(X1,X2,X3)|~surjective(X1,X2,X3)|~injective(X1,X2,X3))). 12.72/1.99 cnf(i_0_87, plain, (member(X4,image3(X3,X2,X5))|~member(X4,X5)|~member(X1,X2)|~apply(X3,X1,X4))). 12.72/1.99 cnf(i_0_84, plain, (member(X2,inverse_image3(X1,X4,X5))|~member(X3,X4)|~member(X2,X5)|~apply(X1,X2,X3))). 12.72/1.99 cnf(i_0_86, plain, (apply(inverse_function(X1,X4,X5),X3,X2)|~member(X3,X5)|~member(X2,X4)|~apply(X1,X2,X3))). 12.72/1.99 cnf(i_0_75, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|member(esk19_3(X1,X2,X3),X2))). 12.72/1.99 cnf(i_0_76, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|member(esk20_3(X1,X2,X3),X3))). 12.72/1.99 cnf(i_0_77, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|member(esk21_3(X1,X2,X3),X3))). 12.72/1.99 cnf(i_0_130, plain, (injective(X1,X2,X3)|apply(X1,esk38_3(X1,X2,X3),esk40_3(X1,X2,X3)))). 12.72/1.99 cnf(i_0_131, plain, (injective(X1,X2,X3)|apply(X1,esk39_3(X1,X2,X3),esk40_3(X1,X2,X3)))). 12.72/1.99 cnf(i_0_128, plain, (X4=X6|~member(X6,X2)|~member(X5,X3)|~member(X4,X2)|~apply(X1,X6,X5)|~apply(X1,X4,X5)|~injective(X1,X2,X3))). 12.72/1.99 cnf(i_0_78, plain, (X1=X3|~member(X4,X5)|~member(X3,X2)|~member(X1,X2)|~apply(X6,X4,X3)|~apply(X6,X4,X1)|~maps(X6,X5,X2))). 12.72/1.99 cnf(i_0_112, plain, (surjective(X1,X3,X4)|~member(X2,X3)|~apply(X1,X2,esk32_3(X1,X3,X4)))). 12.72/1.99 cnf(i_0_72, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|esk21_3(X1,X2,X3)!=esk20_3(X1,X2,X3))). 12.72/1.99 cnf(i_0_85, plain, (apply(X1,X5,X4)|~member(X5,X2)|~member(X4,X3)|~apply(inverse_function(X1,X2,X3),X4,X5))). 12.72/1.99 cnf(i_0_74, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|apply(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)))). 12.72/1.99 cnf(i_0_73, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|apply(X1,esk19_3(X1,X2,X3),esk21_3(X1,X2,X3)))). 12.72/1.99 cnf(i_0_69, plain, (maps(X1,X2,X3)|member(esk19_3(X1,X2,X3),X2)|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/1.99 cnf(i_0_70, plain, (maps(X1,X2,X3)|member(esk20_3(X1,X2,X3),X3)|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/1.99 cnf(i_0_71, plain, (maps(X1,X2,X3)|member(esk21_3(X1,X2,X3),X3)|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/1.99 cnf(i_0_66, plain, (maps(X1,X2,X3)|esk21_3(X1,X2,X3)!=esk20_3(X1,X2,X3)|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/1.99 cnf(i_0_92, plain, (apply(X4,X3,X2)|~member(X3,X6)|~member(X2,X5)|~apply(X1,X2,X3)|~inverse_predicate(X4,X1,X5,X6))). 12.72/1.99 cnf(i_0_91, plain, (apply(X4,X3,X2)|~member(X3,X5)|~member(X2,X6)|~apply(X1,X2,X3)|~inverse_predicate(X1,X4,X5,X6))). 12.72/1.99 cnf(i_0_68, plain, (maps(X1,X2,X3)|apply(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/1.99 cnf(i_0_67, plain, (maps(X1,X2,X3)|apply(X1,esk19_3(X1,X2,X3),esk21_3(X1,X2,X3))|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/1.99 cnf(i_0_80, plain, (member(esk17_4(X1,X2,X3,X4),X3)|~member(X4,X2)|~maps(X1,X2,X3))). 12.72/1.99 cnf(i_0_114, plain, (member(esk31_4(X1,X2,X3,X4),X2)|~member(X4,X3)|~surjective(X1,X2,X3))). 12.72/1.99 cnf(i_0_36, plain, (X5=X6|~member(X7,X3)|~member(X6,X4)|~member(X5,X4)|~apply(X2,X7,X6)|~apply(X1,X7,X5)|~equal_maps(X1,X2,X3,X4))). 12.72/1.99 cnf(i_0_79, plain, (apply(X1,X2,esk17_4(X1,X3,X4,X2))|~member(X2,X3)|~maps(X1,X3,X4))). 12.72/1.99 cnf(i_0_115, plain, (apply(X1,esk31_4(X1,X2,X3,X4),X4)|~member(X4,X3)|~surjective(X1,X2,X3))). 12.72/1.99 cnf(i_0_82, plain, (member(esk22_4(X1,X2,X3,X4),X2)|~member(X4,inverse_image3(X1,X2,X3)))). 12.72/1.99 cnf(i_0_90, plain, (member(esk23_4(X1,X2,X3,X4),X2)|~member(X4,image3(X1,X2,X3)))). 12.72/1.99 cnf(i_0_83, plain, (apply(X1,X2,esk22_4(X1,X3,X4,X2))|~member(X2,inverse_image3(X1,X3,X4)))). 12.72/1.99 cnf(i_0_89, plain, (apply(X1,esk23_4(X1,X2,X3,X4),X4)|~member(X4,image3(X1,X2,X3)))). 12.72/1.99 cnf(i_0_33, plain, (equal_maps(X1,X2,X3,X4)|member(esk4_4(X1,X2,X3,X4),X3))). 12.72/1.99 cnf(i_0_35, plain, (equal_maps(X1,X2,X3,X4)|member(esk5_4(X1,X2,X3,X4),X4))). 12.72/1.99 cnf(i_0_34, plain, (equal_maps(X1,X2,X3,X4)|member(esk6_4(X1,X2,X3,X4),X4))). 12.72/1.99 cnf(i_0_96, plain, (inverse_predicate(X1,X2,X3,X4)|member(esk24_4(X1,X2,X3,X4),X3))). 12.72/1.99 cnf(i_0_95, plain, (inverse_predicate(X1,X2,X3,X4)|member(esk25_4(X1,X2,X3,X4),X4))). 12.72/1.99 cnf(i_0_30, plain, (equal_maps(X1,X2,X3,X4)|esk6_4(X1,X2,X3,X4)!=esk5_4(X1,X2,X3,X4))). 12.72/1.99 cnf(i_0_32, plain, (equal_maps(X2,X1,X3,X4)|apply(X1,esk4_4(X2,X1,X3,X4),esk6_4(X2,X1,X3,X4)))). 12.72/1.99 cnf(i_0_31, plain, (equal_maps(X1,X2,X3,X4)|apply(X1,esk4_4(X1,X2,X3,X4),esk5_4(X1,X2,X3,X4)))). 12.72/1.99 cnf(i_0_100, plain, (one_to_one(X1,X2,X3)|~isomorphism(X1,X2,X4,X3,X5))). 12.72/1.99 cnf(i_0_97, plain, (maps(X1,X2,X3)|~isomorphism(X1,X2,X4,X3,X5))). 12.72/1.99 cnf(i_0_65, plain, (apply(X5,X8,X9)|~member(X9,X4)|~member(X8,X4)|~member(X7,X2)|~member(X6,X2)|~apply(X3,X6,X7)|~apply(X1,X7,X9)|~apply(X1,X6,X8)|~increasing(X1,X2,X3,X4,X5))). 12.72/1.99 cnf(i_0_119, plain, (apply(X5,X8,X6)|~member(X9,X2)|~member(X8,X4)|~member(X7,X2)|~member(X6,X4)|~apply(X3,X9,X7)|~apply(X1,X9,X6)|~apply(X1,X7,X8)|~decreasing(X1,X2,X3,X4,X5))). 12.72/1.99 cnf(i_0_98, plain, (apply(X4,X5,X6)|~member(X6,X8)|~member(X5,X8)|~member(X3,X7)|~member(X2,X7)|~apply(X9,X3,X6)|~apply(X9,X2,X5)|~apply(X1,X2,X3)|~isomorphism(X9,X7,X1,X8,X4))). 12.72/1.99 cnf(i_0_99, plain, (apply(X4,X5,X6)|~member(X6,X7)|~member(X5,X7)|~member(X3,X8)|~member(X2,X8)|~apply(X9,X6,X3)|~apply(X9,X5,X2)|~apply(X1,X2,X3)|~isomorphism(X9,X7,X4,X8,X1))). 12.72/1.99 cnf(i_0_93, plain, (inverse_predicate(X2,X1,X3,X4)|apply(X2,esk25_4(X2,X1,X3,X4),esk24_4(X2,X1,X3,X4))|apply(X1,esk24_4(X2,X1,X3,X4),esk25_4(X2,X1,X3,X4)))). 12.72/1.99 cnf(i_0_50, plain, (apply(compose_function(X4,X1,X7,X6,X8),X2,X5)|~member(X5,X8)|~member(X3,X6)|~member(X2,X7)|~apply(X4,X3,X5)|~apply(X1,X2,X3))). 12.72/1.99 cnf(i_0_94, plain, (inverse_predicate(X2,X1,X3,X4)|~apply(X2,esk25_4(X2,X1,X3,X4),esk24_4(X2,X1,X3,X4))|~apply(X1,esk24_4(X2,X1,X3,X4),esk25_4(X2,X1,X3,X4)))). 12.72/1.99 cnf(i_0_58, plain, (increasing(X1,X2,X3,X4,X5)|member(esk13_5(X1,X2,X3,X4,X5),X2))). 12.72/1.99 cnf(i_0_59, plain, (increasing(X1,X2,X3,X4,X5)|member(esk14_5(X1,X2,X3,X4,X5),X4))). 12.72/1.99 cnf(i_0_60, plain, (increasing(X1,X2,X3,X4,X5)|member(esk15_5(X1,X2,X3,X4,X5),X2))). 12.72/1.99 cnf(i_0_61, plain, (increasing(X1,X2,X3,X4,X5)|member(esk16_5(X1,X2,X3,X4,X5),X4))). 12.72/1.99 cnf(i_0_121, plain, (decreasing(X1,X2,X3,X4,X5)|member(esk34_5(X1,X2,X3,X4,X5),X2))). 12.72/1.99 cnf(i_0_127, plain, (decreasing(X1,X2,X3,X4,X5)|member(esk35_5(X1,X2,X3,X4,X5),X4))). 12.72/1.99 cnf(i_0_126, plain, (decreasing(X1,X2,X3,X4,X5)|member(esk36_5(X1,X2,X3,X4,X5),X2))). 12.72/1.99 cnf(i_0_125, plain, (decreasing(X1,X2,X3,X4,X5)|member(esk37_5(X1,X2,X3,X4,X5),X4))). 12.72/1.99 cnf(i_0_108, plain, (isomorphism(X1,X2,X3,X4,X5)|member(esk26_5(X1,X2,X3,X4,X5),X2)|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/1.99 cnf(i_0_103, plain, (isomorphism(X1,X2,X3,X4,X5)|member(esk27_5(X1,X2,X3,X4,X5),X4)|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/1.99 cnf(i_0_107, plain, (isomorphism(X1,X2,X3,X4,X5)|member(esk28_5(X1,X2,X3,X4,X5),X2)|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/1.99 cnf(i_0_106, plain, (isomorphism(X1,X2,X3,X4,X5)|member(esk29_5(X1,X2,X3,X4,X5),X4)|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/1.99 cnf(i_0_64, plain, (increasing(X2,X3,X1,X4,X5)|apply(X1,esk13_5(X2,X3,X1,X4,X5),esk15_5(X2,X3,X1,X4,X5)))). 12.72/1.99 cnf(i_0_63, plain, (increasing(X1,X2,X3,X4,X5)|apply(X1,esk13_5(X1,X2,X3,X4,X5),esk14_5(X1,X2,X3,X4,X5)))). 12.72/1.99 cnf(i_0_62, plain, (increasing(X1,X2,X3,X4,X5)|apply(X1,esk15_5(X1,X2,X3,X4,X5),esk16_5(X1,X2,X3,X4,X5)))). 12.72/1.99 cnf(i_0_124, plain, (decreasing(X2,X3,X1,X4,X5)|apply(X1,esk34_5(X2,X3,X1,X4,X5),esk36_5(X2,X3,X1,X4,X5)))). 12.72/1.99 cnf(i_0_123, plain, (decreasing(X1,X2,X3,X4,X5)|apply(X1,esk34_5(X1,X2,X3,X4,X5),esk35_5(X1,X2,X3,X4,X5)))). 12.72/1.99 cnf(i_0_122, plain, (decreasing(X1,X2,X3,X4,X5)|apply(X1,esk36_5(X1,X2,X3,X4,X5),esk37_5(X1,X2,X3,X4,X5)))). 12.72/1.99 cnf(i_0_105, plain, (isomorphism(X1,X2,X3,X4,X5)|apply(X1,esk26_5(X1,X2,X3,X4,X5),esk27_5(X1,X2,X3,X4,X5))|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/1.99 cnf(i_0_104, plain, (isomorphism(X1,X2,X3,X4,X5)|apply(X1,esk28_5(X1,X2,X3,X4,X5),esk29_5(X1,X2,X3,X4,X5))|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/1.99 cnf(i_0_57, plain, (increasing(X2,X3,X4,X5,X1)|~apply(X1,esk14_5(X2,X3,X4,X5,X1),esk16_5(X2,X3,X4,X5,X1)))). 12.72/1.99 cnf(i_0_120, plain, (decreasing(X2,X3,X4,X5,X1)|~apply(X1,esk37_5(X2,X3,X4,X5,X1),esk35_5(X2,X3,X4,X5,X1)))). 12.72/1.99 cnf(i_0_43, plain, (apply(X7,X5,X3)|~member(X5,X8)|~member(X3,X9)|~member(X2,X6)|~apply(X4,X5,X2)|~apply(X1,X2,X3)|~compose_predicate(X7,X1,X4,X8,X6,X9))). 12.72/1.99 cnf(i_0_101, plain, (isomorphism(X2,X3,X4,X5,X1)|apply(X4,esk26_5(X2,X3,X4,X5,X1),esk28_5(X2,X3,X4,X5,X1))|apply(X1,esk27_5(X2,X3,X4,X5,X1),esk29_5(X2,X3,X4,X5,X1))|~one_to_one(X2,X3,X5)|~maps(X2,X3,X5))). 12.72/1.99 cnf(i_0_102, plain, (isomorphism(X2,X3,X4,X5,X1)|~one_to_one(X2,X3,X5)|~maps(X2,X3,X5)|~apply(X4,esk26_5(X2,X3,X4,X5,X1),esk28_5(X2,X3,X4,X5,X1))|~apply(X1,esk27_5(X2,X3,X4,X5,X1),esk29_5(X2,X3,X4,X5,X1)))). 12.72/1.99 cnf(i_0_49, plain, (compose_predicate(X1,X2,X3,X4,X5,X6)|member(esk7_6(X1,X2,X3,X4,X5,X6),X4))). 12.72/1.99 cnf(i_0_48, plain, (compose_predicate(X1,X2,X3,X4,X5,X6)|member(esk8_6(X1,X2,X3,X4,X5,X6),X6))). 12.72/1.99 cnf(i_0_44, plain, (compose_predicate(X1,X2,X3,X4,X5,X6)|member(esk9_6(X1,X2,X3,X4,X5,X6),X5)|apply(X1,esk7_6(X1,X2,X3,X4,X5,X6),esk8_6(X1,X2,X3,X4,X5,X6)))). 12.72/1.99 cnf(i_0_45, plain, (compose_predicate(X2,X3,X1,X4,X5,X6)|apply(X2,esk7_6(X2,X3,X1,X4,X5,X6),esk8_6(X2,X3,X1,X4,X5,X6))|apply(X1,esk7_6(X2,X3,X1,X4,X5,X6),esk9_6(X2,X3,X1,X4,X5,X6)))). 12.72/1.99 cnf(i_0_46, plain, (compose_predicate(X2,X1,X3,X4,X5,X6)|apply(X2,esk7_6(X2,X1,X3,X4,X5,X6),esk8_6(X2,X1,X3,X4,X5,X6))|apply(X1,esk9_6(X2,X1,X3,X4,X5,X6),esk8_6(X2,X1,X3,X4,X5,X6)))). 12.72/1.99 cnf(i_0_51, plain, (member(esk11_7(X1,X2,X3,X4,X5,X6,X7),X4)|~member(X7,X5)|~member(X6,X3)|~apply(compose_function(X1,X2,X3,X4,X5),X6,X7))). 12.72/1.99 cnf(i_0_53, plain, (apply(X1,X2,esk11_7(X3,X1,X4,X5,X6,X2,X7))|~member(X7,X6)|~member(X2,X4)|~apply(compose_function(X3,X1,X4,X5,X6),X2,X7))). 12.72/1.99 cnf(i_0_52, plain, (apply(X1,esk11_7(X1,X2,X3,X4,X5,X6,X7),X7)|~member(X7,X5)|~member(X6,X3)|~apply(compose_function(X1,X2,X3,X4,X5),X6,X7))). 12.72/1.99 cnf(i_0_47, plain, (compose_predicate(X3,X1,X4,X5,X6,X7)|~member(X2,X6)|~apply(X1,X2,esk8_6(X3,X1,X4,X5,X6,X7))|~apply(X4,esk7_6(X3,X1,X4,X5,X6,X7),X2)|~apply(X3,esk7_6(X3,X1,X4,X5,X6,X7),esk8_6(X3,X1,X4,X5,X6,X7)))). 12.72/1.99 cnf(i_0_40, plain, (member(esk10_8(X1,X2,X3,X4,X5,X6,X7,X8),X5)|~member(X8,X6)|~member(X7,X4)|~apply(X1,X7,X8)|~compose_predicate(X1,X2,X3,X4,X5,X6))). 12.72/1.99 cnf(i_0_41, plain, (apply(X1,X2,esk10_8(X3,X4,X1,X5,X6,X7,X2,X8))|~member(X8,X7)|~member(X2,X5)|~apply(X3,X2,X8)|~compose_predicate(X3,X4,X1,X5,X6,X7))). 12.72/1.99 cnf(i_0_42, plain, (apply(X1,esk10_8(X2,X1,X3,X4,X5,X6,X7,X8),X8)|~member(X8,X6)|~member(X7,X4)|~apply(X2,X7,X8)|~compose_predicate(X2,X1,X3,X4,X5,X6))). 12.72/1.99 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 12.72/1.99 # Begin printing tableau 12.72/1.99 # Found 4 steps 12.72/1.99 cnf(i_0_135, negated_conjecture, (~surjective(esk42_0,esk43_0,esk45_0)), inference(start_rule)). 12.72/1.99 cnf(i_0_149, plain, (~surjective(esk42_0,esk43_0,esk45_0)), inference(extension_rule, [i_0_39])). 12.72/1.99 cnf(i_0_639, plain, (~one_to_one(esk42_0,esk43_0,esk45_0)), inference(extension_rule, [i_0_100])). 12.72/1.99 cnf(i_0_877, plain, (~isomorphism(esk42_0,esk43_0,X9,esk45_0,X10)), inference(etableau_closure_rule, [i_0_877, ...])). 12.72/1.99 # End printing tableau 12.72/1.99 # SZS output end 12.72/1.99 # Branches closed with saturation will be marked with an "s" 12.72/2.00 # There were 1 total branch saturation attempts. 12.72/2.00 # There were 0 of these attempts blocked. 12.72/2.00 # There were 0 deferred branch saturation attempts. 12.72/2.00 # There were 0 free duplicated saturations. 12.72/2.00 # There were 1 total successful branch saturations. 12.72/2.00 # There were 0 successful branch saturations in interreduction. 12.72/2.00 # There were 0 successful branch saturations on the branch. 12.72/2.00 # There were 1 successful branch saturations after the branch. 12.72/2.00 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 12.72/2.00 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 12.72/2.00 # Begin clausification derivation 12.72/2.00 12.72/2.00 # End clausification derivation 12.72/2.00 # Begin listing active clauses obtained from FOF to CNF conversion 12.72/2.00 cnf(i_0_139, negated_conjecture, (image2(esk41_0,esk43_0)=esk45_0)). 12.72/2.00 cnf(i_0_136, negated_conjecture, (subset(esk45_0,esk44_0))). 12.72/2.00 cnf(i_0_12, plain, (~member(X1,empty_set))). 12.72/2.00 cnf(i_0_4, plain, (member(X2,singleton(X1))|X1!=X2)). 12.72/2.00 cnf(i_0_5, plain, (X1=X2|~member(X1,singleton(X2)))). 12.72/2.00 cnf(i_0_6, plain, (subset(X1,X2)|~equal_set(X2,X1))). 12.72/2.00 cnf(i_0_7, plain, (subset(X1,X2)|~equal_set(X1,X2))). 12.72/2.00 cnf(i_0_17, plain, (member(X1,power_set(X2))|~subset(X1,X2))). 12.72/2.00 cnf(i_0_9, plain, (member(X1,unordered_pair(X3,X2))|X1!=X2)). 12.72/2.00 cnf(i_0_10, plain, (member(X1,unordered_pair(X2,X3))|X1!=X2)). 12.72/2.00 cnf(i_0_16, plain, (subset(X1,X2)|~member(X1,power_set(X2)))). 12.72/2.00 cnf(i_0_140, negated_conjecture, (maps(esk41_0,esk43_0,esk44_0))). 12.72/2.00 cnf(i_0_19, plain, (subset(X1,X2)|member(esk3_2(X1,X2),X1))). 12.72/2.00 cnf(i_0_110, plain, (identity(X1,X2)|member(esk30_2(X1,X2),X2))). 12.72/2.00 cnf(i_0_20, plain, (member(X3,X2)|~member(X3,X1)|~subset(X1,X2))). 12.72/2.00 cnf(i_0_8, plain, (equal_set(X1,X2)|~subset(X2,X1)|~subset(X1,X2))). 12.72/2.00 cnf(i_0_3, plain, (member(X1,product(X2))|member(esk1_2(X1,X2),X2))). 12.72/2.00 cnf(i_0_25, plain, (member(X1,union(X3,X2))|~member(X1,X2))). 12.72/2.00 cnf(i_0_24, plain, (member(X1,union(X2,X3))|~member(X1,X2))). 12.72/2.00 cnf(i_0_15, plain, (member(X3,sum(X2))|~member(X3,X1)|~member(X1,X2))). 12.72/2.00 cnf(i_0_11, plain, (X1=X3|X1=X2|~member(X1,unordered_pair(X2,X3)))). 12.72/2.00 cnf(i_0_1, plain, (member(X1,X3)|~member(X3,X2)|~member(X1,product(X2)))). 12.72/2.00 cnf(i_0_13, plain, (member(X1,esk2_2(X1,X2))|~member(X1,sum(X2)))). 12.72/2.00 cnf(i_0_14, plain, (member(esk2_2(X1,X2),X2)|~member(X1,sum(X2)))). 12.72/2.00 cnf(i_0_29, plain, (member(X1,X2)|member(X1,difference(X3,X2))|~member(X1,X3))). 12.72/2.00 cnf(i_0_22, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))). 12.72/2.00 cnf(i_0_21, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))). 12.72/2.00 cnf(i_0_27, plain, (member(X1,X2)|~member(X1,difference(X2,X3)))). 12.72/2.00 cnf(i_0_18, plain, (subset(X1,X2)|~member(esk3_2(X1,X2),X2))). 12.72/2.00 cnf(i_0_135, negated_conjecture, (~surjective(esk42_0,esk43_0,esk45_0))). 12.72/2.00 cnf(i_0_2, plain, (member(X1,product(X2))|~member(X1,esk1_2(X1,X2)))). 12.72/2.00 cnf(i_0_23, plain, (member(X1,intersection(X3,X2))|~member(X1,X3)|~member(X1,X2))). 12.72/2.00 cnf(i_0_28, plain, (~member(X1,X2)|~member(X1,difference(X3,X2)))). 12.72/2.00 cnf(i_0_26, plain, (member(X1,X3)|member(X1,X2)|~member(X1,union(X2,X3)))). 12.72/2.00 cnf(i_0_111, plain, (apply(X1,X3,X3)|~member(X3,X2)|~identity(X1,X2))). 12.72/2.00 cnf(i_0_39, plain, (surjective(X1,X2,X3)|~one_to_one(X1,X2,X3))). 12.72/2.00 cnf(i_0_38, plain, (injective(X1,X2,X3)|~one_to_one(X1,X2,X3))). 12.72/2.00 cnf(i_0_54, plain, (member(X3,image2(X1,X4))|~member(X2,X4)|~apply(X1,X2,X3))). 12.72/2.00 cnf(i_0_118, plain, (member(X2,inverse_image2(X1,X4))|~member(X3,X4)|~apply(X1,X2,X3))). 12.72/2.00 cnf(i_0_113, plain, (surjective(X1,X2,X3)|member(esk32_3(X1,X2,X3),X3))). 12.72/2.00 cnf(i_0_132, plain, (injective(X1,X2,X3)|member(esk38_3(X1,X2,X3),X2))). 12.72/2.00 cnf(i_0_134, plain, (injective(X1,X2,X3)|member(esk39_3(X1,X2,X3),X2))). 12.72/2.00 cnf(i_0_133, plain, (injective(X1,X2,X3)|member(esk40_3(X1,X2,X3),X3))). 12.72/2.00 cnf(i_0_138, negated_conjecture, (apply(esk41_0,X1,X2)|~member(X2,esk45_0)|~member(X1,esk43_0)|~apply(esk42_0,X1,X2))). 12.72/2.00 cnf(i_0_137, negated_conjecture, (apply(esk42_0,X1,X2)|~member(X2,esk45_0)|~member(X1,esk43_0)|~apply(esk41_0,X1,X2))). 12.72/2.00 cnf(i_0_109, plain, (identity(X1,X2)|~apply(X1,esk30_2(X1,X2),esk30_2(X1,X2)))). 12.72/2.00 cnf(i_0_55, plain, (member(esk12_3(X1,X2,X3),X2)|~member(X3,image2(X1,X2)))). 12.72/2.00 cnf(i_0_116, plain, (member(esk33_3(X1,X2,X3),X2)|~member(X3,inverse_image2(X1,X2)))). 12.72/2.00 cnf(i_0_81, plain, (member(X1,X2)|~member(X1,inverse_image3(X3,X4,X2)))). 12.72/2.00 cnf(i_0_88, plain, (member(X1,X2)|~member(X1,image3(X3,X4,X2)))). 12.72/2.00 cnf(i_0_117, plain, (apply(X1,X2,esk33_3(X1,X3,X2))|~member(X2,inverse_image2(X1,X3)))). 12.72/2.00 cnf(i_0_56, plain, (apply(X1,esk12_3(X1,X2,X3),X3)|~member(X3,image2(X1,X2)))). 12.72/2.00 cnf(i_0_129, plain, (injective(X1,X2,X3)|esk39_3(X1,X2,X3)!=esk38_3(X1,X2,X3))). 12.72/2.00 cnf(i_0_37, plain, (one_to_one(X1,X2,X3)|~surjective(X1,X2,X3)|~injective(X1,X2,X3))). 12.72/2.00 cnf(i_0_87, plain, (member(X4,image3(X3,X2,X5))|~member(X4,X5)|~member(X1,X2)|~apply(X3,X1,X4))). 12.72/2.00 cnf(i_0_84, plain, (member(X2,inverse_image3(X1,X4,X5))|~member(X3,X4)|~member(X2,X5)|~apply(X1,X2,X3))). 12.72/2.00 cnf(i_0_86, plain, (apply(inverse_function(X1,X4,X5),X3,X2)|~member(X3,X5)|~member(X2,X4)|~apply(X1,X2,X3))). 12.72/2.00 cnf(i_0_75, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|member(esk19_3(X1,X2,X3),X2))). 12.72/2.00 cnf(i_0_76, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|member(esk20_3(X1,X2,X3),X3))). 12.72/2.00 cnf(i_0_77, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|member(esk21_3(X1,X2,X3),X3))). 12.72/2.00 cnf(i_0_130, plain, (injective(X1,X2,X3)|apply(X1,esk38_3(X1,X2,X3),esk40_3(X1,X2,X3)))). 12.72/2.00 cnf(i_0_131, plain, (injective(X1,X2,X3)|apply(X1,esk39_3(X1,X2,X3),esk40_3(X1,X2,X3)))). 12.72/2.00 cnf(i_0_128, plain, (X4=X6|~member(X6,X2)|~member(X5,X3)|~member(X4,X2)|~apply(X1,X6,X5)|~apply(X1,X4,X5)|~injective(X1,X2,X3))). 12.72/2.00 cnf(i_0_78, plain, (X1=X3|~member(X4,X5)|~member(X3,X2)|~member(X1,X2)|~apply(X6,X4,X3)|~apply(X6,X4,X1)|~maps(X6,X5,X2))). 12.72/2.00 cnf(i_0_112, plain, (surjective(X1,X3,X4)|~member(X2,X3)|~apply(X1,X2,esk32_3(X1,X3,X4)))). 12.72/2.00 cnf(i_0_72, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|esk21_3(X1,X2,X3)!=esk20_3(X1,X2,X3))). 12.72/2.00 cnf(i_0_85, plain, (apply(X1,X5,X4)|~member(X5,X2)|~member(X4,X3)|~apply(inverse_function(X1,X2,X3),X4,X5))). 12.72/2.00 cnf(i_0_74, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|apply(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)))). 12.72/2.00 cnf(i_0_73, plain, (maps(X1,X2,X3)|member(esk18_3(X1,X2,X3),X2)|apply(X1,esk19_3(X1,X2,X3),esk21_3(X1,X2,X3)))). 12.72/2.00 cnf(i_0_69, plain, (maps(X1,X2,X3)|member(esk19_3(X1,X2,X3),X2)|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/2.00 cnf(i_0_70, plain, (maps(X1,X2,X3)|member(esk20_3(X1,X2,X3),X3)|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/2.00 cnf(i_0_71, plain, (maps(X1,X2,X3)|member(esk21_3(X1,X2,X3),X3)|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/2.00 cnf(i_0_66, plain, (maps(X1,X2,X3)|esk21_3(X1,X2,X3)!=esk20_3(X1,X2,X3)|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/2.00 cnf(i_0_92, plain, (apply(X4,X3,X2)|~member(X3,X6)|~member(X2,X5)|~apply(X1,X2,X3)|~inverse_predicate(X4,X1,X5,X6))). 12.72/2.00 cnf(i_0_91, plain, (apply(X4,X3,X2)|~member(X3,X5)|~member(X2,X6)|~apply(X1,X2,X3)|~inverse_predicate(X1,X4,X5,X6))). 12.72/2.00 cnf(i_0_68, plain, (maps(X1,X2,X3)|apply(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/2.00 cnf(i_0_67, plain, (maps(X1,X2,X3)|apply(X1,esk19_3(X1,X2,X3),esk21_3(X1,X2,X3))|~member(X4,X3)|~apply(X1,esk18_3(X1,X2,X3),X4))). 12.72/2.00 cnf(i_0_80, plain, (member(esk17_4(X1,X2,X3,X4),X3)|~member(X4,X2)|~maps(X1,X2,X3))). 12.72/2.00 cnf(i_0_114, plain, (member(esk31_4(X1,X2,X3,X4),X2)|~member(X4,X3)|~surjective(X1,X2,X3))). 12.72/2.00 cnf(i_0_36, plain, (X5=X6|~member(X7,X3)|~member(X6,X4)|~member(X5,X4)|~apply(X2,X7,X6)|~apply(X1,X7,X5)|~equal_maps(X1,X2,X3,X4))). 12.72/2.00 cnf(i_0_79, plain, (apply(X1,X2,esk17_4(X1,X3,X4,X2))|~member(X2,X3)|~maps(X1,X3,X4))). 12.72/2.00 cnf(i_0_115, plain, (apply(X1,esk31_4(X1,X2,X3,X4),X4)|~member(X4,X3)|~surjective(X1,X2,X3))). 12.72/2.00 cnf(i_0_82, plain, (member(esk22_4(X1,X2,X3,X4),X2)|~member(X4,inverse_image3(X1,X2,X3)))). 12.72/2.00 cnf(i_0_90, plain, (member(esk23_4(X1,X2,X3,X4),X2)|~member(X4,image3(X1,X2,X3)))). 12.72/2.00 cnf(i_0_83, plain, (apply(X1,X2,esk22_4(X1,X3,X4,X2))|~member(X2,inverse_image3(X1,X3,X4)))). 12.72/2.00 cnf(i_0_89, plain, (apply(X1,esk23_4(X1,X2,X3,X4),X4)|~member(X4,image3(X1,X2,X3)))). 12.72/2.00 cnf(i_0_33, plain, (equal_maps(X1,X2,X3,X4)|member(esk4_4(X1,X2,X3,X4),X3))). 12.72/2.00 cnf(i_0_35, plain, (equal_maps(X1,X2,X3,X4)|member(esk5_4(X1,X2,X3,X4),X4))). 12.72/2.00 cnf(i_0_34, plain, (equal_maps(X1,X2,X3,X4)|member(esk6_4(X1,X2,X3,X4),X4))). 12.72/2.00 cnf(i_0_96, plain, (inverse_predicate(X1,X2,X3,X4)|member(esk24_4(X1,X2,X3,X4),X3))). 12.72/2.00 cnf(i_0_95, plain, (inverse_predicate(X1,X2,X3,X4)|member(esk25_4(X1,X2,X3,X4),X4))). 12.72/2.00 cnf(i_0_30, plain, (equal_maps(X1,X2,X3,X4)|esk6_4(X1,X2,X3,X4)!=esk5_4(X1,X2,X3,X4))). 12.72/2.00 cnf(i_0_32, plain, (equal_maps(X2,X1,X3,X4)|apply(X1,esk4_4(X2,X1,X3,X4),esk6_4(X2,X1,X3,X4)))). 12.72/2.00 cnf(i_0_31, plain, (equal_maps(X1,X2,X3,X4)|apply(X1,esk4_4(X1,X2,X3,X4),esk5_4(X1,X2,X3,X4)))). 12.72/2.00 cnf(i_0_100, plain, (one_to_one(X1,X2,X3)|~isomorphism(X1,X2,X4,X3,X5))). 12.72/2.00 cnf(i_0_97, plain, (maps(X1,X2,X3)|~isomorphism(X1,X2,X4,X3,X5))). 12.72/2.00 cnf(i_0_65, plain, (apply(X5,X8,X9)|~member(X9,X4)|~member(X8,X4)|~member(X7,X2)|~member(X6,X2)|~apply(X3,X6,X7)|~apply(X1,X7,X9)|~apply(X1,X6,X8)|~increasing(X1,X2,X3,X4,X5))). 12.72/2.00 cnf(i_0_119, plain, (apply(X5,X8,X6)|~member(X9,X2)|~member(X8,X4)|~member(X7,X2)|~member(X6,X4)|~apply(X3,X9,X7)|~apply(X1,X9,X6)|~apply(X1,X7,X8)|~decreasing(X1,X2,X3,X4,X5))). 12.72/2.00 cnf(i_0_98, plain, (apply(X4,X5,X6)|~member(X6,X8)|~member(X5,X8)|~member(X3,X7)|~member(X2,X7)|~apply(X9,X3,X6)|~apply(X9,X2,X5)|~apply(X1,X2,X3)|~isomorphism(X9,X7,X1,X8,X4))). 12.72/2.00 cnf(i_0_99, plain, (apply(X4,X5,X6)|~member(X6,X7)|~member(X5,X7)|~member(X3,X8)|~member(X2,X8)|~apply(X9,X6,X3)|~apply(X9,X5,X2)|~apply(X1,X2,X3)|~isomorphism(X9,X7,X4,X8,X1))). 12.72/2.00 cnf(i_0_93, plain, (inverse_predicate(X2,X1,X3,X4)|apply(X2,esk25_4(X2,X1,X3,X4),esk24_4(X2,X1,X3,X4))|apply(X1,esk24_4(X2,X1,X3,X4),esk25_4(X2,X1,X3,X4)))). 12.72/2.00 cnf(i_0_50, plain, (apply(compose_function(X4,X1,X7,X6,X8),X2,X5)|~member(X5,X8)|~member(X3,X6)|~member(X2,X7)|~apply(X4,X3,X5)|~apply(X1,X2,X3))). 12.72/2.00 cnf(i_0_94, plain, (inverse_predicate(X2,X1,X3,X4)|~apply(X2,esk25_4(X2,X1,X3,X4),esk24_4(X2,X1,X3,X4))|~apply(X1,esk24_4(X2,X1,X3,X4),esk25_4(X2,X1,X3,X4)))). 12.72/2.00 cnf(i_0_58, plain, (increasing(X1,X2,X3,X4,X5)|member(esk13_5(X1,X2,X3,X4,X5),X2))). 12.72/2.00 cnf(i_0_59, plain, (increasing(X1,X2,X3,X4,X5)|member(esk14_5(X1,X2,X3,X4,X5),X4))). 12.72/2.00 cnf(i_0_60, plain, (increasing(X1,X2,X3,X4,X5)|member(esk15_5(X1,X2,X3,X4,X5),X2))). 12.72/2.00 cnf(i_0_61, plain, (increasing(X1,X2,X3,X4,X5)|member(esk16_5(X1,X2,X3,X4,X5),X4))). 12.72/2.00 cnf(i_0_121, plain, (decreasing(X1,X2,X3,X4,X5)|member(esk34_5(X1,X2,X3,X4,X5),X2))). 12.72/2.00 cnf(i_0_127, plain, (decreasing(X1,X2,X3,X4,X5)|member(esk35_5(X1,X2,X3,X4,X5),X4))). 12.72/2.00 cnf(i_0_126, plain, (decreasing(X1,X2,X3,X4,X5)|member(esk36_5(X1,X2,X3,X4,X5),X2))). 12.72/2.00 cnf(i_0_125, plain, (decreasing(X1,X2,X3,X4,X5)|member(esk37_5(X1,X2,X3,X4,X5),X4))). 12.72/2.00 cnf(i_0_108, plain, (isomorphism(X1,X2,X3,X4,X5)|member(esk26_5(X1,X2,X3,X4,X5),X2)|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/2.00 cnf(i_0_103, plain, (isomorphism(X1,X2,X3,X4,X5)|member(esk27_5(X1,X2,X3,X4,X5),X4)|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/2.00 cnf(i_0_107, plain, (isomorphism(X1,X2,X3,X4,X5)|member(esk28_5(X1,X2,X3,X4,X5),X2)|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/2.00 cnf(i_0_106, plain, (isomorphism(X1,X2,X3,X4,X5)|member(esk29_5(X1,X2,X3,X4,X5),X4)|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/2.00 cnf(i_0_64, plain, (increasing(X2,X3,X1,X4,X5)|apply(X1,esk13_5(X2,X3,X1,X4,X5),esk15_5(X2,X3,X1,X4,X5)))). 12.72/2.00 cnf(i_0_63, plain, (increasing(X1,X2,X3,X4,X5)|apply(X1,esk13_5(X1,X2,X3,X4,X5),esk14_5(X1,X2,X3,X4,X5)))). 12.72/2.00 cnf(i_0_62, plain, (increasing(X1,X2,X3,X4,X5)|apply(X1,esk15_5(X1,X2,X3,X4,X5),esk16_5(X1,X2,X3,X4,X5)))). 12.72/2.00 cnf(i_0_124, plain, (decreasing(X2,X3,X1,X4,X5)|apply(X1,esk34_5(X2,X3,X1,X4,X5),esk36_5(X2,X3,X1,X4,X5)))). 12.72/2.00 cnf(i_0_123, plain, (decreasing(X1,X2,X3,X4,X5)|apply(X1,esk34_5(X1,X2,X3,X4,X5),esk35_5(X1,X2,X3,X4,X5)))). 12.72/2.00 cnf(i_0_122, plain, (decreasing(X1,X2,X3,X4,X5)|apply(X1,esk36_5(X1,X2,X3,X4,X5),esk37_5(X1,X2,X3,X4,X5)))). 12.72/2.00 cnf(i_0_105, plain, (isomorphism(X1,X2,X3,X4,X5)|apply(X1,esk26_5(X1,X2,X3,X4,X5),esk27_5(X1,X2,X3,X4,X5))|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/2.00 cnf(i_0_104, plain, (isomorphism(X1,X2,X3,X4,X5)|apply(X1,esk28_5(X1,X2,X3,X4,X5),esk29_5(X1,X2,X3,X4,X5))|~one_to_one(X1,X2,X4)|~maps(X1,X2,X4))). 12.72/2.00 cnf(i_0_57, plain, (increasing(X2,X3,X4,X5,X1)|~apply(X1,esk14_5(X2,X3,X4,X5,X1),esk16_5(X2,X3,X4,X5,X1)))). 12.72/2.00 cnf(i_0_120, plain, (decreasing(X2,X3,X4,X5,X1)|~apply(X1,esk37_5(X2,X3,X4,X5,X1),esk35_5(X2,X3,X4,X5,X1)))). 12.72/2.00 cnf(i_0_43, plain, (apply(X7,X5,X3)|~member(X5,X8)|~member(X3,X9)|~member(X2,X6)|~apply(X4,X5,X2)|~apply(X1,X2,X3)|~compose_predicate(X7,X1,X4,X8,X6,X9))). 12.72/2.00 cnf(i_0_101, plain, (isomorphism(X2,X3,X4,X5,X1)|apply(X4,esk26_5(X2,X3,X4,X5,X1),esk28_5(X2,X3,X4,X5,X1))|apply(X1,esk27_5(X2,X3,X4,X5,X1),esk29_5(X2,X3,X4,X5,X1))|~one_to_one(X2,X3,X5)|~maps(X2,X3,X5))). 12.72/2.00 cnf(i_0_102, plain, (isomorphism(X2,X3,X4,X5,X1)|~one_to_one(X2,X3,X5)|~maps(X2,X3,X5)|~apply(X4,esk26_5(X2,X3,X4,X5,X1),esk28_5(X2,X3,X4,X5,X1))|~apply(X1,esk27_5(X2,X3,X4,X5,X1),esk29_5(X2,X3,X4,X5,X1)))). 12.72/2.00 cnf(i_0_49, plain, (compose_predicate(X1,X2,X3,X4,X5,X6)|member(esk7_6(X1,X2,X3,X4,X5,X6),X4))). 12.72/2.00 cnf(i_0_48, plain, (compose_predicate(X1,X2,X3,X4,X5,X6)|member(esk8_6(X1,X2,X3,X4,X5,X6),X6))). 12.72/2.00 cnf(i_0_44, plain, (compose_predicate(X1,X2,X3,X4,X5,X6)|member(esk9_6(X1,X2,X3,X4,X5,X6),X5)|apply(X1,esk7_6(X1,X2,X3,X4,X5,X6),esk8_6(X1,X2,X3,X4,X5,X6)))). 12.72/2.00 cnf(i_0_45, plain, (compose_predicate(X2,X3,X1,X4,X5,X6)|apply(X2,esk7_6(X2,X3,X1,X4,X5,X6),esk8_6(X2,X3,X1,X4,X5,X6))|apply(X1,esk7_6(X2,X3,X1,X4,X5,X6),esk9_6(X2,X3,X1,X4,X5,X6)))). 12.72/2.00 cnf(i_0_46, plain, (compose_predicate(X2,X1,X3,X4,X5,X6)|apply(X2,esk7_6(X2,X1,X3,X4,X5,X6),esk8_6(X2,X1,X3,X4,X5,X6))|apply(X1,esk9_6(X2,X1,X3,X4,X5,X6),esk8_6(X2,X1,X3,X4,X5,X6)))). 12.72/2.00 cnf(i_0_51, plain, (member(esk11_7(X1,X2,X3,X4,X5,X6,X7),X4)|~member(X7,X5)|~member(X6,X3)|~apply(compose_function(X1,X2,X3,X4,X5),X6,X7))). 12.72/2.00 cnf(i_0_53, plain, (apply(X1,X2,esk11_7(X3,X1,X4,X5,X6,X2,X7))|~member(X7,X6)|~member(X2,X4)|~apply(compose_function(X3,X1,X4,X5,X6),X2,X7))). 12.72/2.00 cnf(i_0_52, plain, (apply(X1,esk11_7(X1,X2,X3,X4,X5,X6,X7),X7)|~member(X7,X5)|~member(X6,X3)|~apply(compose_function(X1,X2,X3,X4,X5),X6,X7))). 12.72/2.00 cnf(i_0_47, plain, (compose_predicate(X3,X1,X4,X5,X6,X7)|~member(X2,X6)|~apply(X1,X2,esk8_6(X3,X1,X4,X5,X6,X7))|~apply(X4,esk7_6(X3,X1,X4,X5,X6,X7),X2)|~apply(X3,esk7_6(X3,X1,X4,X5,X6,X7),esk8_6(X3,X1,X4,X5,X6,X7)))). 12.72/2.00 cnf(i_0_40, plain, (member(esk10_8(X1,X2,X3,X4,X5,X6,X7,X8),X5)|~member(X8,X6)|~member(X7,X4)|~apply(X1,X7,X8)|~compose_predicate(X1,X2,X3,X4,X5,X6))). 12.72/2.00 cnf(i_0_41, plain, (apply(X1,X2,esk10_8(X3,X4,X1,X5,X6,X7,X2,X8))|~member(X8,X7)|~member(X2,X5)|~apply(X3,X2,X8)|~compose_predicate(X3,X4,X1,X5,X6,X7))). 12.72/2.00 cnf(i_0_42, plain, (apply(X1,esk10_8(X2,X1,X3,X4,X5,X6,X7,X8),X8)|~member(X8,X6)|~member(X7,X4)|~apply(X2,X7,X8)|~compose_predicate(X2,X1,X3,X4,X5,X6))). 12.72/2.00 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 12.72/2.00 # Begin printing tableau 12.72/2.00 # Found 5 steps 12.72/2.00 cnf(i_0_136, negated_conjecture, (subset(esk45_0,esk44_0)), inference(start_rule)). 12.72/2.00 cnf(i_0_151, plain, (subset(esk45_0,esk44_0)), inference(extension_rule, [i_0_17])). 12.72/2.00 cnf(i_0_577, plain, (member(esk45_0,power_set(esk44_0))), inference(extension_rule, [i_0_20])). 12.72/2.00 cnf(i_0_597, plain, (member(esk45_0,empty_set)), inference(closure_rule, [i_0_12])). 12.72/2.00 cnf(i_0_599, plain, (~subset(power_set(esk44_0),empty_set)), inference(etableau_closure_rule, [i_0_599, ...])). 12.72/2.00 # End printing tableau 12.72/2.00 # SZS output end 12.72/2.00 # Branches closed with saturation will be marked with an "s" 12.72/2.00 # Child (2452) has found a proof. 12.72/2.00 12.72/2.00 # Proof search is over... 12.72/2.00 # Freeing feature tree 12.72/2.03 EOF