0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_epr.jar %d %s 0.12/0.34 % Computer : n026.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 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 : Thu Jul 2 08:53:24 EDT 2020 0.12/0.34 % CPUTime : 0.19/0.44 openjdk version "1.8.0_171" 0.19/0.44 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.19/0.44 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.19/0.45 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.47/0.60 start to proof:theBenchmark.p 44.52/44.40 % Version : CSE_E---1.2 44.52/44.40 % Problem : theBenchmark.p 44.52/44.40 % Proof found! 44.52/44.40 % SZS status Theorem for theBenchmark.p 44.52/44.40 % SZS output start Proof 44.52/44.40 fof(max_is_ub_1, conjecture, ![X1, X2, X3]:(minsol_model_max(X1,X2,X3)<=>minsol_model_ub(X1,X2,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', max_is_ub_1)). 44.52/44.40 fof(minsol_model_ub, axiom, ![X1, X2, X4]:((model_ub(X1,X2,X4)&![X3]:(lesseq(X4,X3)<=model_ub(X1,X2,X3)))<=>minsol_model_ub(X1,X2,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', minsol_model_ub)). 44.52/44.40 fof(lesseq_antisymmetric, axiom, ![X1, X2]:((lesseq(X2,X1)&lesseq(X1,X2))=>X1=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lesseq_antisymmetric)). 44.52/44.40 fof(model_ub_2, axiom, ![X1, X2, X4]:(?[X3]:(ub(X1,X2,X3)&lesseq(X3,X4))<=>model_ub(X1,X2,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', model_ub_2)). 44.52/44.40 fof(ub, axiom, ![X1, X2, X3]:(ub(X1,X2,X3)<=>(lesseq(X1,X3)&lesseq(X2,X3))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ub)). 44.52/44.40 fof(lesseq_trans, axiom, ![X1, X2, X3]:(lesseq(X1,X3)<=(lesseq(X2,X3)&lesseq(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lesseq_trans)). 44.52/44.40 fof(model_max_2, axiom, ![X1, X2, X4]:(lesseq(max(X1,X2),X4)<=>model_max(X1,X2,X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', model_max_2)). 44.52/44.40 fof(max_1, axiom, ![X1, X2]:(X1=max(X1,X2)|~(lesseq(X2,X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', max_1)). 44.52/44.40 fof(minsol_model_max, axiom, ![X1, X2, X4]:(minsol_model_max(X1,X2,X4)<=>(model_max(X1,X2,X4)&![X3]:(lesseq(X4,X3)<=model_max(X1,X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', minsol_model_max)). 44.52/44.40 fof(lesseq_total, axiom, ![X1, X2]:(lesseq(X2,X1)|lesseq(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lesseq_total)). 44.52/44.40 fof(lesseq_ref, axiom, ![X1]:lesseq(X1,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', lesseq_ref)). 44.52/44.40 fof(max_2, axiom, ![X1, X2]:(~(lesseq(X1,X2))|max(X1,X2)=X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', max_2)). 44.52/44.40 fof(summation_monotone, axiom, ![X1, X2]:(lesseq(summation(X1),summation(X2))<=>lesseq(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', summation_monotone)). 44.52/44.40 fof(c_0_13, negated_conjecture, ~(![X1, X2, X3]:(minsol_model_max(X1,X2,X3)<=>minsol_model_ub(X1,X2,X3))), inference(assume_negation,[status(cth)],[max_is_ub_1])). 44.52/44.40 fof(c_0_14, plain, ![X35, X36, X37, X39, X40, X41, X42]:(((model_ub(X35,X36,esk6_3(X35,X36,X37))|~model_ub(X35,X36,X37)|minsol_model_ub(X35,X36,X37))&(~lesseq(X37,esk6_3(X35,X36,X37))|~model_ub(X35,X36,X37)|minsol_model_ub(X35,X36,X37)))&((model_ub(X39,X40,X41)|~minsol_model_ub(X39,X40,X41))&(~model_ub(X39,X40,X42)|lesseq(X41,X42)|~minsol_model_ub(X39,X40,X41)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[minsol_model_ub])])])])])])])). 44.52/44.40 fof(c_0_15, negated_conjecture, ((~minsol_model_max(esk1_0,esk2_0,esk3_0)|~minsol_model_ub(esk1_0,esk2_0,esk3_0))&(minsol_model_max(esk1_0,esk2_0,esk3_0)|minsol_model_ub(esk1_0,esk2_0,esk3_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])). 44.52/44.40 fof(c_0_16, plain, ![X18, X19]:(~lesseq(X19,X18)|~lesseq(X18,X19)|X18=X19), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lesseq_antisymmetric])])). 44.52/44.40 fof(c_0_17, plain, ![X10, X11, X12, X13, X14, X15, X16]:((~ub(X10,X11,X13)|~lesseq(X13,X12)|model_ub(X10,X11,X12))&((ub(X14,X15,esk4_3(X14,X15,X16))|~model_ub(X14,X15,X16))&(lesseq(esk4_3(X14,X15,X16),X16)|~model_ub(X14,X15,X16)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[model_ub_2])])])])])])). 44.52/44.40 fof(c_0_18, plain, ![X52, X53, X54]:(((lesseq(X52,X54)|~ub(X52,X53,X54))&(lesseq(X53,X54)|~ub(X52,X53,X54)))&(~lesseq(X52,X54)|~lesseq(X53,X54)|ub(X52,X53,X54))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ub])])])). 44.52/44.40 fof(c_0_19, plain, ![X49, X50, X51]:(~lesseq(X50,X51)|~lesseq(X49,X50)|lesseq(X49,X51)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[lesseq_trans])])])). 44.52/44.40 fof(c_0_20, plain, ![X29, X30, X31]:((~lesseq(max(X29,X30),X31)|model_max(X29,X30,X31))&(~model_max(X29,X30,X31)|lesseq(max(X29,X30),X31))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[model_max_2])])). 44.52/44.40 fof(c_0_21, plain, ![X43, X44]:(X43=max(X43,X44)|~lesseq(X44,X43)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[max_1])])). 44.52/44.40 fof(c_0_22, plain, ![X21, X22, X23, X24, X25, X26, X27]:(((model_max(X21,X22,X23)|~minsol_model_max(X21,X22,X23))&(~model_max(X21,X22,X24)|lesseq(X23,X24)|~minsol_model_max(X21,X22,X23)))&((model_max(X25,X26,esk5_3(X25,X26,X27))|~model_max(X25,X26,X27)|minsol_model_max(X25,X26,X27))&(~lesseq(X27,esk5_3(X25,X26,X27))|~model_max(X25,X26,X27)|minsol_model_max(X25,X26,X27)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[minsol_model_max])])])])])])])). 44.52/44.40 cnf(c_0_23, plain, (model_ub(X1,X2,X3)|~minsol_model_ub(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_14])). 44.52/44.40 cnf(c_0_24, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|minsol_model_ub(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_15])). 44.52/44.40 cnf(c_0_25, plain, (X2=X1|~lesseq(X1,X2)|~lesseq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_16])). 44.52/44.40 cnf(c_0_26, plain, (lesseq(esk4_3(X1,X2,X3),X3)|~model_ub(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_17])). 44.52/44.40 cnf(c_0_27, plain, (lesseq(X1,X2)|~ub(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])). 44.52/44.40 cnf(c_0_28, plain, (ub(X1,X2,esk4_3(X1,X2,X3))|~model_ub(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_17])). 44.52/44.40 cnf(c_0_29, plain, (model_ub(X1,X2,X4)|~ub(X1,X2,X3)|~lesseq(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_17])). 44.52/44.40 cnf(c_0_30, plain, (lesseq(X3,X2)|~lesseq(X1,X2)|~lesseq(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_19])). 44.52/44.40 cnf(c_0_31, plain, (lesseq(max(X1,X2),X3)|~model_max(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_20])). 44.52/44.40 cnf(c_0_32, plain, (X1=max(X1,X2)|~lesseq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_21])). 44.52/44.40 cnf(c_0_33, plain, (model_max(X1,X2,X3)|~minsol_model_max(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_22])). 44.52/44.40 cnf(c_0_34, negated_conjecture, (model_ub(esk1_0,esk2_0,esk3_0)|minsol_model_max(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_23, c_0_24])). 44.52/44.40 cnf(c_0_35, plain, (lesseq(X1,X2)|~ub(X1,X3,X2)), inference(split_conjunct,[status(thm)],[c_0_18])). 44.52/44.40 cnf(c_0_36, plain, (esk4_3(X1,X2,X3)=X3|~model_ub(X1,X2,X3)|~lesseq(X3,esk4_3(X1,X2,X3))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 44.52/44.40 cnf(c_0_37, plain, (lesseq(X1,esk4_3(X2,X1,X3))|~model_ub(X2,X1,X3)), inference(spm,[status(thm)],[c_0_27, c_0_28])). 44.52/44.40 cnf(c_0_38, plain, (model_ub(X1,X2,X3)|~model_ub(X1,X2,X4)|~lesseq(esk4_3(X1,X2,X4),X3)), inference(spm,[status(thm)],[c_0_29, c_0_28])). 44.52/44.40 cnf(c_0_39, plain, (lesseq(esk4_3(X1,X2,X3),X4)|~model_ub(X1,X2,X3)|~lesseq(X3,X4)), inference(spm,[status(thm)],[c_0_30, c_0_26])). 44.52/44.40 cnf(c_0_40, plain, (lesseq(X1,X2)|~model_max(X1,X3,X2)|~lesseq(X3,X1)), inference(spm,[status(thm)],[c_0_31, c_0_32])). 44.52/44.40 cnf(c_0_41, negated_conjecture, (model_max(esk1_0,esk2_0,esk3_0)|model_ub(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 44.52/44.40 cnf(c_0_42, plain, (lesseq(X1,esk4_3(X1,X2,X3))|~model_ub(X1,X2,X3)), inference(spm,[status(thm)],[c_0_35, c_0_28])). 44.52/44.40 cnf(c_0_43, plain, (esk4_3(X1,X2,X2)=X2|~model_ub(X1,X2,X2)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 44.52/44.40 cnf(c_0_44, plain, (model_ub(X1,X2,X3)|~model_ub(X1,X2,X4)|~lesseq(X4,X3)), inference(spm,[status(thm)],[c_0_38, c_0_39])). 44.52/44.40 cnf(c_0_45, negated_conjecture, (model_ub(esk1_0,esk2_0,esk3_0)|lesseq(esk1_0,esk3_0)|~lesseq(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 44.52/44.40 fof(c_0_46, plain, ![X45, X46]:(lesseq(X46,X45)|lesseq(X45,X46)), inference(variable_rename,[status(thm)],[lesseq_total])). 44.52/44.40 fof(c_0_47, plain, ![X20]:lesseq(X20,X20), inference(variable_rename,[status(thm)],[lesseq_ref])). 44.52/44.40 cnf(c_0_48, plain, (lesseq(X1,X2)|~model_ub(X1,X2,X2)), inference(spm,[status(thm)],[c_0_42, c_0_43])). 44.52/44.40 cnf(c_0_49, negated_conjecture, (model_ub(esk1_0,esk2_0,X1)|lesseq(esk1_0,esk3_0)|~lesseq(esk2_0,esk1_0)|~lesseq(esk3_0,X1)), inference(spm,[status(thm)],[c_0_44, c_0_45])). 44.52/44.40 cnf(c_0_50, plain, (lesseq(X1,X2)|lesseq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_46])). 44.52/44.40 cnf(c_0_51, plain, (model_max(X1,X2,X3)|~lesseq(max(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_20])). 44.52/44.40 cnf(c_0_52, plain, (lesseq(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_47])). 44.52/44.40 fof(c_0_53, plain, ![X5, X6]:(~lesseq(X5,X6)|max(X5,X6)=X6), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[max_2])])). 44.52/44.40 cnf(c_0_54, plain, (ub(X1,X3,X2)|~lesseq(X1,X2)|~lesseq(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_18])). 44.52/44.40 cnf(c_0_55, negated_conjecture, (lesseq(esk1_0,esk2_0)|~lesseq(esk3_0,esk2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_30])). 44.52/44.40 cnf(c_0_56, plain, (lesseq(X4,X3)|~model_max(X1,X2,X3)|~minsol_model_max(X1,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_22])). 44.52/44.40 cnf(c_0_57, plain, (model_max(X1,X2,max(X1,X2))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 44.52/44.40 cnf(c_0_58, plain, (max(X1,X2)=X2|~lesseq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_53])). 44.52/44.40 cnf(c_0_59, plain, (model_ub(X1,X2,X3)|~lesseq(X4,X3)|~lesseq(X2,X4)|~lesseq(X1,X4)), inference(spm,[status(thm)],[c_0_29, c_0_54])). 44.52/44.40 cnf(c_0_60, negated_conjecture, (lesseq(esk2_0,esk3_0)|lesseq(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_55, c_0_50])). 44.52/44.40 cnf(c_0_61, plain, (lesseq(X1,max(X2,X3))|~minsol_model_max(X2,X3,X1)), inference(spm,[status(thm)],[c_0_56, c_0_57])). 44.52/44.40 cnf(c_0_62, plain, (lesseq(X1,X2)|~model_max(X3,X1,X2)|~lesseq(X3,X1)), inference(spm,[status(thm)],[c_0_31, c_0_58])). 44.52/44.40 cnf(c_0_63, plain, (lesseq(X4,X3)|~model_ub(X1,X2,X3)|~minsol_model_ub(X1,X2,X4)), inference(split_conjunct,[status(thm)],[c_0_14])). 44.52/44.40 cnf(c_0_64, plain, (model_ub(X1,X2,X3)|~lesseq(X2,X3)|~lesseq(X1,X3)), inference(spm,[status(thm)],[c_0_59, c_0_52])). 44.52/44.40 cnf(c_0_65, negated_conjecture, (lesseq(esk1_0,esk2_0)|lesseq(esk2_0,X1)|~lesseq(esk3_0,X1)), inference(spm,[status(thm)],[c_0_30, c_0_60])). 44.52/44.40 cnf(c_0_66, negated_conjecture, (model_ub(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_61, c_0_34])). 44.52/44.40 cnf(c_0_67, plain, (lesseq(X1,max(X2,X1))|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_62, c_0_57])). 44.52/44.40 cnf(c_0_68, plain, (X1=max(X2,X3)|~model_max(X2,X3,X1)|~lesseq(X1,max(X2,X3))), inference(spm,[status(thm)],[c_0_25, c_0_31])). 44.52/44.40 cnf(c_0_69, plain, (lesseq(X1,X2)|~minsol_model_ub(X3,X4,X1)|~lesseq(X4,X2)|~lesseq(X3,X2)), inference(spm,[status(thm)],[c_0_63, c_0_64])). 44.52/44.40 cnf(c_0_70, plain, (esk4_3(X1,X2,X1)=X1|~model_ub(X1,X2,X1)), inference(spm,[status(thm)],[c_0_36, c_0_42])). 44.52/44.40 cnf(c_0_71, negated_conjecture, (model_ub(esk1_0,esk2_0,esk3_0)|lesseq(esk2_0,max(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_67])). 44.52/44.40 cnf(c_0_72, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|model_ub(esk1_0,esk2_0,esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_66]), c_0_41])). 44.52/44.40 cnf(c_0_73, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,X1)|~lesseq(esk2_0,X1)|~lesseq(esk1_0,X1)), inference(spm,[status(thm)],[c_0_69, c_0_24])). 44.52/44.40 cnf(c_0_74, plain, (ub(X1,X2,X1)|~model_ub(X1,X2,X1)), inference(spm,[status(thm)],[c_0_28, c_0_70])). 44.52/44.40 cnf(c_0_75, negated_conjecture, (model_ub(esk1_0,esk2_0,esk3_0)|lesseq(esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_71, c_0_72])). 44.52/44.40 cnf(c_0_76, plain, (model_max(X1,X2,X2)|~lesseq(X1,X2)), inference(spm,[status(thm)],[c_0_57, c_0_58])). 44.52/44.40 cnf(c_0_77, plain, (model_max(X1,X2,X1)|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_57, c_0_32])). 44.52/44.40 cnf(c_0_78, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|lesseq(X1,esk2_0)|lesseq(esk3_0,X1)|~lesseq(esk1_0,X1)), inference(spm,[status(thm)],[c_0_73, c_0_50])). 44.52/44.40 cnf(c_0_79, plain, (lesseq(X1,X2)|~model_ub(X2,X1,X2)), inference(spm,[status(thm)],[c_0_27, c_0_74])). 44.52/44.40 cnf(c_0_80, negated_conjecture, (model_ub(esk1_0,esk2_0,X1)|lesseq(esk2_0,esk3_0)|~lesseq(esk3_0,X1)), inference(spm,[status(thm)],[c_0_44, c_0_75])). 44.52/44.40 cnf(c_0_81, plain, (lesseq(X1,X2)|~minsol_model_max(X3,X2,X1)|~lesseq(X3,X2)), inference(spm,[status(thm)],[c_0_56, c_0_76])). 44.52/44.40 cnf(c_0_82, plain, (lesseq(X1,X2)|~model_ub(X3,X1,X4)|~lesseq(esk4_3(X3,X1,X4),X2)), inference(spm,[status(thm)],[c_0_30, c_0_37])). 44.52/44.40 cnf(c_0_83, plain, (lesseq(X1,X2)|~minsol_model_max(X2,X3,X1)|~lesseq(X3,X2)), inference(spm,[status(thm)],[c_0_56, c_0_77])). 44.52/44.40 cnf(c_0_84, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,esk1_0)|lesseq(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_78, c_0_52])). 44.52/44.40 cnf(c_0_85, plain, (lesseq(X1,X2)|~model_ub(X1,X3,X4)|~lesseq(esk4_3(X1,X3,X4),X2)), inference(spm,[status(thm)],[c_0_30, c_0_42])). 44.52/44.40 cnf(c_0_86, negated_conjecture, (lesseq(esk2_0,esk1_0)|~lesseq(esk3_0,esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_30])). 44.52/44.40 cnf(c_0_87, negated_conjecture, (lesseq(esk3_0,esk2_0)|~lesseq(esk1_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_52]), c_0_81])). 44.52/44.40 cnf(c_0_88, plain, (lesseq(X1,X2)|~model_ub(X3,X1,X2)), inference(spm,[status(thm)],[c_0_82, c_0_26])). 44.52/44.40 cnf(c_0_89, negated_conjecture, (lesseq(esk1_0,esk2_0)|lesseq(esk3_0,esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_50])). 44.52/44.40 cnf(c_0_90, plain, (lesseq(X1,X2)|~model_ub(X1,X3,X2)), inference(spm,[status(thm)],[c_0_85, c_0_26])). 44.52/44.40 cnf(c_0_91, negated_conjecture, (lesseq(esk1_0,esk3_0)|lesseq(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_86, c_0_50])). 44.52/44.40 cnf(c_0_92, negated_conjecture, (esk3_0=esk2_0|~lesseq(esk2_0,esk3_0)|~lesseq(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_25, c_0_87])). 44.52/44.40 cnf(c_0_93, negated_conjecture, (lesseq(esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_88, c_0_75])). 44.52/44.40 cnf(c_0_94, negated_conjecture, (esk3_0=esk1_0|lesseq(esk1_0,esk2_0)|~lesseq(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_25, c_0_89])). 44.52/44.40 cnf(c_0_95, negated_conjecture, (lesseq(esk1_0,esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_45]), c_0_91])). 44.52/44.40 cnf(c_0_96, plain, (minsol_model_max(X2,X3,X1)|~lesseq(X1,esk5_3(X2,X3,X1))|~model_max(X2,X3,X1)), inference(split_conjunct,[status(thm)],[c_0_22])). 44.52/44.40 cnf(c_0_97, plain, (model_max(X1,X2,esk5_3(X1,X2,X3))|minsol_model_max(X1,X2,X3)|~model_max(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_22])). 44.52/44.40 cnf(c_0_98, negated_conjecture, (esk3_0=esk2_0|~lesseq(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_93])])). 44.52/44.40 cnf(c_0_99, negated_conjecture, (esk3_0=esk1_0|lesseq(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_95])])). 44.52/44.40 cnf(c_0_100, plain, (lesseq(X1,X2)|lesseq(X2,X3)|~lesseq(X1,X3)), inference(spm,[status(thm)],[c_0_30, c_0_50])). 44.52/44.40 cnf(c_0_101, negated_conjecture, (model_ub(X1,X2,esk3_0)|~lesseq(X2,esk2_0)|~lesseq(X1,esk2_0)), inference(spm,[status(thm)],[c_0_59, c_0_93])). 44.52/44.40 cnf(c_0_102, plain, (minsol_model_max(X1,X2,max(X3,X4))|~model_max(X3,X4,esk5_3(X1,X2,max(X3,X4)))|~model_max(X1,X2,max(X3,X4))), inference(spm,[status(thm)],[c_0_96, c_0_31])). 44.52/44.40 cnf(c_0_103, plain, (model_max(X1,X2,esk5_3(X1,X2,max(X1,X2)))|minsol_model_max(X1,X2,max(X1,X2))), inference(spm,[status(thm)],[c_0_97, c_0_57])). 44.52/44.40 cnf(c_0_104, negated_conjecture, (esk3_0=esk1_0|esk3_0=esk2_0), inference(spm,[status(thm)],[c_0_98, c_0_99])). 44.52/44.40 cnf(c_0_105, plain, (lesseq(esk4_3(X1,X2,X3),X4)|lesseq(X4,X3)|~model_ub(X1,X2,X3)), inference(spm,[status(thm)],[c_0_100, c_0_26])). 44.52/44.40 cnf(c_0_106, negated_conjecture, (lesseq(X1,esk3_0)|~lesseq(X2,esk2_0)|~lesseq(X1,esk2_0)), inference(spm,[status(thm)],[c_0_90, c_0_101])). 44.52/44.40 cnf(c_0_107, negated_conjecture, (model_ub(esk1_0,esk2_0,esk3_0)|lesseq(X1,esk3_0)|~minsol_model_max(esk1_0,esk2_0,X1)), inference(spm,[status(thm)],[c_0_56, c_0_41])). 44.52/44.40 cnf(c_0_108, plain, (minsol_model_max(X1,X2,max(X1,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_57])])). 44.52/44.40 cnf(c_0_109, negated_conjecture, (model_ub(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,X1)|~model_max(esk1_0,esk2_0,X1)), inference(spm,[status(thm)],[c_0_31, c_0_72])). 44.52/44.40 cnf(c_0_110, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,esk2_0)|model_ub(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_41, c_0_104])). 44.52/44.40 cnf(c_0_111, plain, (model_ub(X1,X2,X3)|lesseq(X3,X4)|~model_ub(X1,X2,X4)), inference(spm,[status(thm)],[c_0_38, c_0_105])). 44.52/44.40 cnf(c_0_112, negated_conjecture, (lesseq(X1,esk3_0)|~lesseq(X1,esk2_0)), inference(spm,[status(thm)],[c_0_106, c_0_52])). 44.52/44.40 cnf(c_0_113, negated_conjecture, (model_ub(esk1_0,esk2_0,esk3_0)|lesseq(max(esk1_0,esk2_0),esk3_0)), inference(spm,[status(thm)],[c_0_107, c_0_108])). 44.52/44.40 cnf(c_0_114, plain, (model_ub(X1,X2,esk6_3(X1,X2,X3))|minsol_model_ub(X1,X2,X3)|~model_ub(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_14])). 44.52/44.40 cnf(c_0_115, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_111])). 44.52/44.40 cnf(c_0_116, negated_conjecture, (model_max(X1,X2,esk3_0)|~lesseq(max(X1,X2),esk2_0)), inference(spm,[status(thm)],[c_0_51, c_0_112])). 44.52/44.40 cnf(c_0_117, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(max(esk1_0,esk2_0),esk2_0)), inference(spm,[status(thm)],[c_0_113, c_0_104])). 44.52/44.40 cnf(c_0_118, negated_conjecture, (~minsol_model_max(esk1_0,esk2_0,esk3_0)|~minsol_model_ub(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_15])). 44.52/44.40 cnf(c_0_119, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))|minsol_model_ub(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,esk2_0)), inference(spm,[status(thm)],[c_0_114, c_0_115])). 44.52/44.40 cnf(c_0_120, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,esk3_0)|model_ub(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_116, c_0_117])). 44.52/44.40 cnf(c_0_121, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,esk2_0)|~minsol_model_max(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_118, c_0_119])). 44.52/44.40 cnf(c_0_122, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,esk5_3(esk1_0,esk2_0,esk3_0))|model_ub(esk1_0,esk2_0,esk2_0)|minsol_model_max(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_97, c_0_120])). 44.52/44.40 cnf(c_0_123, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,esk5_3(esk1_0,esk2_0,esk3_0))|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk3_0,esk2_0)), inference(spm,[status(thm)],[c_0_121, c_0_122])). 44.52/44.40 cnf(c_0_124, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(X1,esk5_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,esk2_0)|~minsol_model_max(esk1_0,esk2_0,X1)), inference(spm,[status(thm)],[c_0_56, c_0_123])). 44.52/44.40 cnf(c_0_125, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|minsol_model_max(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_34, c_0_104])). 44.52/44.40 fof(c_0_126, plain, ![X47, X48]:((~lesseq(summation(X47),summation(X48))|lesseq(X47,X48))&(~lesseq(X47,X48)|lesseq(summation(X47),summation(X48)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[summation_monotone])])). 44.52/44.40 cnf(c_0_127, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk2_0,esk5_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,esk2_0)), inference(spm,[status(thm)],[c_0_124, c_0_125])). 44.52/44.40 cnf(c_0_128, plain, (lesseq(summation(X1),summation(X2))|~lesseq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_126])). 44.52/44.40 cnf(c_0_129, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk2_0,esk5_3(esk1_0,esk2_0,esk3_0))|lesseq(X1,esk6_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,esk2_0)|~minsol_model_ub(esk1_0,esk2_0,X1)), inference(spm,[status(thm)],[c_0_63, c_0_127])). 44.52/44.40 cnf(c_0_130, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(X1,esk2_0)|~minsol_model_max(esk1_0,esk2_0,X1)), inference(spm,[status(thm)],[c_0_56, c_0_110])). 44.52/44.40 cnf(c_0_131, plain, (summation(X1)=summation(X2)|~lesseq(summation(X1),summation(X2))|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_25, c_0_128])). 44.52/44.40 cnf(c_0_132, plain, (minsol_model_ub(X2,X3,X1)|~lesseq(X1,esk6_3(X2,X3,X1))|~model_ub(X2,X3,X1)), inference(split_conjunct,[status(thm)],[c_0_14])). 44.52/44.40 cnf(c_0_133, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk3_0,esk6_3(esk1_0,esk2_0,esk3_0))|lesseq(esk2_0,esk5_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_24]), c_0_130])). 44.52/44.40 cnf(c_0_134, plain, (summation(X1)=summation(X2)|~lesseq(X2,X1)|~lesseq(X1,X2)), inference(spm,[status(thm)],[c_0_131, c_0_128])). 44.52/44.40 cnf(c_0_135, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|minsol_model_ub(esk1_0,esk2_0,esk3_0)|lesseq(esk2_0,esk5_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_133]), c_0_115])). 44.52/44.40 cnf(c_0_136, negated_conjecture, (esk3_0=esk1_0|lesseq(esk1_0,X1)|~lesseq(esk2_0,X1)), inference(spm,[status(thm)],[c_0_30, c_0_99])). 44.52/44.40 cnf(c_0_137, negated_conjecture, (summation(esk3_0)=summation(esk2_0)|~lesseq(esk2_0,esk3_0)|~lesseq(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_134, c_0_87])). 44.52/44.40 cnf(c_0_138, negated_conjecture, (model_ub(X1,X2,esk3_0)|~lesseq(X2,esk1_0)|~lesseq(X1,esk1_0)), inference(spm,[status(thm)],[c_0_59, c_0_95])). 44.52/44.40 cnf(c_0_139, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk2_0,esk5_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,X1)|~lesseq(esk2_0,X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_135]), c_0_136]), c_0_30])). 44.52/44.40 cnf(c_0_140, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk2_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_66, c_0_104])). 44.52/44.40 cnf(c_0_141, negated_conjecture, (summation(esk3_0)=summation(esk2_0)|~lesseq(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137, c_0_93])])). 44.52/44.40 cnf(c_0_142, negated_conjecture, (lesseq(X1,esk3_0)|~lesseq(X2,esk1_0)|~lesseq(X1,esk1_0)), inference(spm,[status(thm)],[c_0_90, c_0_138])). 44.52/44.40 cnf(c_0_143, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk2_0,esk5_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_139, c_0_140])). 44.52/44.40 cnf(c_0_144, negated_conjecture, (lesseq(X1,esk2_0)|lesseq(esk3_0,X1)|~lesseq(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_100, c_0_87])). 44.52/44.40 cnf(c_0_145, plain, (lesseq(X1,X2)|~lesseq(summation(X1),summation(X2))), inference(split_conjunct,[status(thm)],[c_0_126])). 44.52/44.40 cnf(c_0_146, negated_conjecture, (lesseq(summation(X1),summation(esk2_0))|~lesseq(esk1_0,esk2_0)|~lesseq(X1,esk3_0)), inference(spm,[status(thm)],[c_0_128, c_0_141])). 44.52/44.40 cnf(c_0_147, negated_conjecture, (lesseq(X1,esk3_0)|~lesseq(X1,esk1_0)), inference(spm,[status(thm)],[c_0_142, c_0_52])). 44.52/44.40 cnf(c_0_148, negated_conjecture, (esk5_3(esk1_0,esk2_0,esk3_0)=esk2_0|esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk3_0,max(esk1_0,esk2_0))|~lesseq(esk5_3(esk1_0,esk2_0,esk3_0),esk2_0)), inference(spm,[status(thm)],[c_0_25, c_0_143])). 44.52/44.40 cnf(c_0_149, negated_conjecture, (esk3_0=esk1_0|lesseq(esk3_0,X1)|lesseq(X1,esk2_0)), inference(spm,[status(thm)],[c_0_144, c_0_99])). 44.52/44.40 cnf(c_0_150, negated_conjecture, (lesseq(X1,esk2_0)|~lesseq(esk1_0,esk2_0)|~lesseq(X1,esk3_0)), inference(spm,[status(thm)],[c_0_145, c_0_146])). 44.52/44.40 cnf(c_0_151, negated_conjecture, (esk3_0=esk1_0|lesseq(X1,esk2_0)|~lesseq(X1,esk1_0)), inference(spm,[status(thm)],[c_0_147, c_0_104])). 44.52/44.40 cnf(c_0_152, negated_conjecture, (esk5_3(esk1_0,esk2_0,esk3_0)=esk2_0|esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk3_0,esk5_3(esk1_0,esk2_0,esk3_0))|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_148, c_0_149])). 44.52/44.40 cnf(c_0_153, plain, (model_max(X1,X2,X3)|lesseq(X3,max(X1,X2))), inference(spm,[status(thm)],[c_0_51, c_0_50])). 44.52/44.40 cnf(c_0_154, negated_conjecture, (esk3_0=esk1_0|lesseq(X1,esk2_0)|~lesseq(X1,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_151]), c_0_52])])). 44.52/44.40 cnf(c_0_155, negated_conjecture, (esk5_3(esk1_0,esk2_0,esk3_0)=esk2_0|esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_152]), c_0_153]), c_0_61])). 44.52/44.40 cnf(c_0_156, negated_conjecture, (esk3_0=esk1_0|lesseq(esk3_0,esk2_0)), inference(spm,[status(thm)],[c_0_154, c_0_149])). 44.52/44.40 cnf(c_0_157, plain, (model_max(X1,X2,max(X3,X4))|model_max(X3,X4,max(X1,X2))), inference(spm,[status(thm)],[c_0_51, c_0_153])). 44.52/44.40 cnf(c_0_158, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_155]), c_0_156]), c_0_153]), c_0_61])). 44.52/44.40 cnf(c_0_159, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk1_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_136, c_0_140])). 44.52/44.40 cnf(c_0_160, plain, (model_max(X1,X2,max(X3,X4))|model_max(X3,X4,X1)|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_157, c_0_32])). 44.52/44.40 cnf(c_0_161, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_158]), c_0_120])). 44.52/44.40 cnf(c_0_162, negated_conjecture, (max(esk1_0,esk2_0)=esk2_0|esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_140]), c_0_110])). 44.52/44.40 cnf(c_0_163, negated_conjecture, (max(esk1_0,esk2_0)=esk1_0|esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|~model_max(esk1_0,esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_68, c_0_159])). 44.52/44.40 cnf(c_0_164, negated_conjecture, (esk3_0=esk1_0|esk2_0!=esk1_0), inference(ef,[status(thm)],[c_0_104])). 44.52/44.40 cnf(c_0_165, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,X1)|model_max(X1,X2,esk3_0)|model_ub(esk1_0,esk2_0,esk2_0)|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_160, c_0_161])). 44.52/44.40 cnf(c_0_166, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|~model_max(esk1_0,esk2_0,esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162, c_0_163]), c_0_164])). 44.52/44.40 cnf(c_0_167, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,X1)|model_max(X1,X1,esk3_0)|model_ub(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_165, c_0_52])). 44.52/44.40 cnf(c_0_168, plain, (ub(X1,X2,X2)|~model_ub(X1,X2,X2)), inference(spm,[status(thm)],[c_0_28, c_0_43])). 44.52/44.40 cnf(c_0_169, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk1_0,esk3_0)|model_ub(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_166, c_0_167])). 44.52/44.40 cnf(c_0_170, plain, (model_ub(X1,X2,X3)|~model_ub(X1,X2,X2)|~lesseq(X2,X3)), inference(spm,[status(thm)],[c_0_29, c_0_168])). 44.52/44.40 cnf(c_0_171, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk1_0,esk5_3(esk1_0,esk1_0,esk3_0))|model_ub(esk1_0,esk2_0,esk2_0)|minsol_model_max(esk1_0,esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_97, c_0_169])). 44.52/44.40 cnf(c_0_172, negated_conjecture, (esk3_0=esk1_0|~lesseq(esk3_0,esk1_0)), inference(spm,[status(thm)],[c_0_25, c_0_95])). 44.52/44.40 cnf(c_0_173, plain, (model_ub(X1,X2,X3)|~lesseq(X2,X3)|~lesseq(X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_64]), c_0_52])])). 44.52/44.40 cnf(c_0_174, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk1_0,esk5_3(esk1_0,esk1_0,esk3_0))|model_ub(esk1_0,esk2_0,esk2_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_171]), c_0_52])]), c_0_172])). 44.52/44.40 cnf(c_0_175, plain, (model_ub(X1,X2,X3)|lesseq(X3,X4)|~lesseq(X2,X4)|~lesseq(X1,X2)), inference(spm,[status(thm)],[c_0_111, c_0_173])). 44.52/44.40 cnf(c_0_176, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|lesseq(esk1_0,esk5_3(esk1_0,esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_174]), c_0_52])])). 44.52/44.40 cnf(c_0_177, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|model_ub(X1,esk1_0,X2)|lesseq(X2,esk5_3(esk1_0,esk1_0,esk3_0))|~lesseq(X1,esk1_0)), inference(spm,[status(thm)],[c_0_175, c_0_176])). 44.52/44.40 cnf(c_0_178, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|model_ub(esk1_0,esk1_0,X1)|lesseq(X1,esk5_3(esk1_0,esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_177, c_0_52])). 44.52/44.40 cnf(c_0_179, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk1_0,esk3_0)|model_ub(esk1_0,esk2_0,esk2_0)|minsol_model_max(esk1_0,esk1_0,esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_178]), c_0_169])). 44.52/44.40 cnf(c_0_180, negated_conjecture, (lesseq(esk3_0,X1)|~lesseq(esk1_0,esk2_0)|~lesseq(esk2_0,X1)), inference(spm,[status(thm)],[c_0_30, c_0_87])). 44.52/44.40 cnf(c_0_181, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk2_0)|model_ub(esk1_0,esk1_0,esk3_0)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_179]), c_0_52])]), c_0_172])). 44.52/44.40 cnf(c_0_182, negated_conjecture, (minsol_model_ub(X1,X2,esk3_0)|~model_ub(X1,X2,esk3_0)|~lesseq(esk2_0,esk6_3(X1,X2,esk3_0))|~lesseq(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_132, c_0_180])). 44.52/44.40 cnf(c_0_183, negated_conjecture, (esk3_0=esk1_0|~minsol_model_ub(esk1_0,esk2_0,esk2_0)|~minsol_model_max(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_118, c_0_104])). 44.52/44.40 cnf(c_0_184, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk2_0))|model_ub(esk1_0,esk1_0,esk3_0)|minsol_model_ub(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_114, c_0_181])). 44.52/44.40 cnf(c_0_185, negated_conjecture, (~model_ub(esk1_0,esk2_0,esk3_0)|~minsol_model_max(esk1_0,esk2_0,esk3_0)|~lesseq(esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))|~lesseq(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_118, c_0_182])). 44.52/44.40 cnf(c_0_186, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk2_0))|model_ub(esk1_0,esk1_0,esk3_0)|~minsol_model_max(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_183, c_0_184])). 44.52/44.40 cnf(c_0_187, plain, (minsol_model_max(X1,X2,X2)|~lesseq(X1,X2)), inference(spm,[status(thm)],[c_0_108, c_0_58])). 44.52/44.40 cnf(c_0_188, negated_conjecture, (esk3_0=esk1_0|~model_ub(esk1_0,esk2_0,esk2_0)|~minsol_model_max(esk1_0,esk2_0,esk2_0)|~lesseq(esk2_0,esk6_3(esk1_0,esk2_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185, c_0_104]), c_0_99])). 44.52/44.40 cnf(c_0_189, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk2_0))|model_ub(esk1_0,esk1_0,esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186, c_0_187]), c_0_99])). 44.52/44.40 cnf(c_0_190, plain, (model_ub(X1,X2,X3)|~model_ub(X1,X2,X1)|~lesseq(X1,X3)), inference(spm,[status(thm)],[c_0_29, c_0_74])). 44.52/44.40 cnf(c_0_191, negated_conjecture, (esk3_0=esk1_0|~model_ub(esk1_0,esk2_0,esk2_0)|~lesseq(esk2_0,esk6_3(esk1_0,esk2_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_187]), c_0_99])). 44.52/44.40 cnf(c_0_192, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk1_0,esk3_0)|lesseq(esk2_0,esk6_3(esk1_0,esk2_0,esk2_0))), inference(spm,[status(thm)],[c_0_88, c_0_189])). 44.52/44.40 cnf(c_0_193, plain, (model_ub(X1,X2,X3)|~lesseq(X1,X3)|~lesseq(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190, c_0_64]), c_0_52])])). 44.52/44.40 cnf(c_0_194, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk1_0,esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_192]), c_0_181])). 44.52/44.40 cnf(c_0_195, plain, (lesseq(summation(X1),X2)|~lesseq(summation(X3),X2)|~lesseq(X1,X3)), inference(spm,[status(thm)],[c_0_30, c_0_128])). 44.52/44.40 cnf(c_0_196, plain, (lesseq(summation(X1),summation(X2))|lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_145, c_0_50])). 44.52/44.40 cnf(c_0_197, plain, (lesseq(X1,X2)|~minsol_model_ub(X3,X4,X1)|~lesseq(X3,X2)|~lesseq(X4,X3)), inference(spm,[status(thm)],[c_0_63, c_0_193])). 44.52/44.40 cnf(c_0_198, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk1_0,esk6_3(esk1_0,esk1_0,esk3_0))|minsol_model_ub(esk1_0,esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_114, c_0_194])). 44.52/44.40 cnf(c_0_199, plain, (lesseq(summation(X1),summation(X2))|lesseq(X2,X3)|~lesseq(X1,X3)), inference(spm,[status(thm)],[c_0_195, c_0_196])). 44.52/44.40 cnf(c_0_200, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk1_0,esk6_3(esk1_0,esk1_0,esk3_0))|lesseq(esk3_0,X1)|~lesseq(esk1_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197, c_0_198]), c_0_52])])). 44.52/44.40 cnf(c_0_201, plain, (lesseq(summation(X1),summation(X2))|lesseq(X2,max(X3,X1))|~lesseq(X3,X1)), inference(spm,[status(thm)],[c_0_199, c_0_67])). 44.52/44.40 cnf(c_0_202, plain, (lesseq(X1,X2)|~model_ub(X1,X3,X4)|~lesseq(X4,X2)), inference(spm,[status(thm)],[c_0_85, c_0_39])). 44.52/44.40 cnf(c_0_203, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk1_0,esk6_3(esk1_0,esk1_0,esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200, c_0_52]), c_0_172])). 44.52/44.40 cnf(c_0_204, negated_conjecture, (lesseq(X1,max(esk1_0,esk3_0))|lesseq(summation(esk3_0),summation(X1))), inference(spm,[status(thm)],[c_0_201, c_0_95])). 44.52/44.40 cnf(c_0_205, negated_conjecture, (esk3_0=esk1_0|lesseq(esk1_0,X1)|~lesseq(esk6_3(esk1_0,esk1_0,esk3_0),X1)), inference(spm,[status(thm)],[c_0_202, c_0_203])). 44.52/44.40 cnf(c_0_206, negated_conjecture, (lesseq(X1,max(esk1_0,esk3_0))|lesseq(esk3_0,X1)), inference(spm,[status(thm)],[c_0_145, c_0_204])). 44.53/44.40 cnf(c_0_207, negated_conjecture, (esk3_0=esk1_0|lesseq(esk3_0,esk6_3(esk1_0,esk1_0,esk3_0))|lesseq(esk1_0,max(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_205, c_0_206])). 44.53/44.40 cnf(c_0_208, negated_conjecture, (lesseq(esk1_0,esk2_0)|lesseq(esk3_0,X1)|~lesseq(esk1_0,X1)), inference(spm,[status(thm)],[c_0_30, c_0_89])). 44.53/44.40 cnf(c_0_209, plain, (lesseq(max(X1,X2),X3)|~model_max(X1,X2,X4)|~lesseq(X4,X3)), inference(spm,[status(thm)],[c_0_30, c_0_31])). 44.53/44.40 cnf(c_0_210, negated_conjecture, (esk3_0=esk1_0|minsol_model_ub(esk1_0,esk1_0,esk3_0)|lesseq(esk1_0,max(esk1_0,esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_207]), c_0_194])). 44.53/44.40 cnf(c_0_211, negated_conjecture, (X1=esk3_0|lesseq(esk1_0,esk2_0)|~lesseq(X1,esk3_0)|~lesseq(esk1_0,X1)), inference(spm,[status(thm)],[c_0_25, c_0_208])). 44.53/44.40 cnf(c_0_212, plain, (lesseq(max(X1,X2),X3)|~lesseq(X1,X3)|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_209, c_0_77])). 44.53/44.40 cnf(c_0_213, negated_conjecture, (esk3_0=esk1_0|minsol_model_ub(esk1_0,esk1_0,esk2_0)|lesseq(esk1_0,max(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210, c_0_104]), c_0_164])). 44.53/44.40 cnf(c_0_214, negated_conjecture, (max(X1,X2)=esk3_0|lesseq(esk1_0,esk2_0)|~lesseq(esk1_0,max(X1,X2))|~lesseq(X1,esk3_0)|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_211, c_0_212])). 44.53/44.40 cnf(c_0_215, plain, (lesseq(X1,max(X1,X2))|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_40, c_0_57])). 44.53/44.40 cnf(c_0_216, negated_conjecture, (esk3_0=esk1_0|lesseq(esk1_0,max(esk1_0,esk2_0))|lesseq(esk2_0,X1)|~lesseq(esk1_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197, c_0_213]), c_0_52])])). 44.53/44.40 cnf(c_0_217, plain, (lesseq(summation(X1),summation(X2))|~lesseq(X1,X3)|~lesseq(X3,X2)), inference(spm,[status(thm)],[c_0_195, c_0_128])). 44.53/44.40 cnf(c_0_218, negated_conjecture, (max(esk1_0,X1)=esk3_0|lesseq(esk1_0,esk2_0)|~lesseq(X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214, c_0_215]), c_0_95])])). 44.53/44.40 cnf(c_0_219, plain, (lesseq(max(X1,X2),X3)|~lesseq(X2,X3)|~lesseq(X1,X2)), inference(spm,[status(thm)],[c_0_209, c_0_76])). 44.53/44.40 cnf(c_0_220, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,max(X1,esk2_0))|~lesseq(esk1_0,max(X1,esk2_0))|~lesseq(X1,esk2_0)), inference(spm,[status(thm)],[c_0_73, c_0_67])). 44.53/44.40 cnf(c_0_221, negated_conjecture, (esk3_0=esk1_0|lesseq(esk1_0,max(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216, c_0_52]), c_0_215])). 44.53/44.40 cnf(c_0_222, negated_conjecture, (lesseq(summation(esk2_0),summation(X1))|~lesseq(esk3_0,X1)), inference(spm,[status(thm)],[c_0_217, c_0_93])). 44.53/44.40 cnf(c_0_223, plain, (lesseq(summation(X1),summation(X2))|lesseq(X2,max(X1,X3))|~lesseq(X3,X1)), inference(spm,[status(thm)],[c_0_199, c_0_215])). 44.53/44.40 cnf(c_0_224, negated_conjecture, (minsol_model_max(esk1_0,X1,esk3_0)|lesseq(esk1_0,esk2_0)|~lesseq(X1,esk1_0)), inference(spm,[status(thm)],[c_0_108, c_0_218])). 44.53/44.40 cnf(c_0_225, plain, (X1=max(X2,X3)|~lesseq(X1,max(X2,X3))|~lesseq(X3,X1)|~lesseq(X2,X3)), inference(spm,[status(thm)],[c_0_25, c_0_219])). 44.53/44.40 cnf(c_0_226, negated_conjecture, (esk3_0=esk1_0|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220, c_0_221]), c_0_99]), c_0_61])). 44.53/44.40 cnf(c_0_227, negated_conjecture, (lesseq(summation(esk2_0),X1)|~lesseq(summation(X2),X1)|~lesseq(esk3_0,X2)), inference(spm,[status(thm)],[c_0_30, c_0_222])). 44.53/44.40 cnf(c_0_228, negated_conjecture, (lesseq(X1,max(esk3_0,esk2_0))|lesseq(summation(esk3_0),summation(X1))), inference(spm,[status(thm)],[c_0_223, c_0_93])). 44.53/44.40 cnf(c_0_229, plain, (X1=max(X2,X3)|~lesseq(X1,max(X2,X3))|~lesseq(X2,X1)|~lesseq(X3,X2)), inference(spm,[status(thm)],[c_0_25, c_0_212])). 44.53/44.40 cnf(c_0_230, negated_conjecture, (lesseq(esk3_0,max(esk1_0,esk2_0))|~lesseq(esk2_0,esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220, c_0_215]), c_0_224]), c_0_61])). 44.53/44.40 cnf(c_0_231, negated_conjecture, (lesseq(esk1_0,X1)|~lesseq(esk3_0,X1)), inference(spm,[status(thm)],[c_0_30, c_0_95])). 44.53/44.40 cnf(c_0_232, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|esk3_0=esk1_0), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225, c_0_226]), c_0_93])]), c_0_99])). 44.53/44.40 cnf(c_0_233, plain, (lesseq(X1,max(X2,X3))|lesseq(X2,X1)|~lesseq(X3,X2)), inference(spm,[status(thm)],[c_0_100, c_0_215])). 44.53/44.40 cnf(c_0_234, negated_conjecture, (lesseq(X1,max(esk3_0,esk2_0))|lesseq(summation(esk2_0),summation(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227, c_0_228]), c_0_52])])). 44.53/44.40 cnf(c_0_235, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|~lesseq(esk2_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229, c_0_230]), c_0_95])])). 44.53/44.40 cnf(c_0_236, negated_conjecture, (lesseq(esk1_0,max(esk3_0,X1))|~lesseq(X1,esk3_0)), inference(spm,[status(thm)],[c_0_231, c_0_215])). 44.53/44.40 cnf(c_0_237, negated_conjecture, (esk3_0=esk1_0|minsol_model_max(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_108, c_0_232])). 44.53/44.40 cnf(c_0_238, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,max(X1,X2))|lesseq(X1,esk2_0)|~lesseq(esk1_0,max(X1,X2))|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_73, c_0_233])). 44.53/44.40 cnf(c_0_239, negated_conjecture, (lesseq(X1,max(esk3_0,esk2_0))|lesseq(esk2_0,X1)), inference(spm,[status(thm)],[c_0_145, c_0_234])). 44.53/44.40 cnf(c_0_240, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|~lesseq(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_108, c_0_235])). 44.53/44.40 cnf(c_0_241, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,max(esk3_0,esk2_0))|~lesseq(esk3_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220, c_0_236]), c_0_93])])). 44.53/44.40 cnf(c_0_242, negated_conjecture, (lesseq(esk2_0,X1)|~lesseq(esk3_0,X1)), inference(spm,[status(thm)],[c_0_30, c_0_93])). 44.53/44.40 cnf(c_0_243, negated_conjecture, (esk3_0=esk1_0|minsol_model_max(esk1_0,esk2_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237, c_0_104]), c_0_164])). 44.53/44.41 cnf(c_0_244, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,max(esk3_0,esk2_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238, c_0_239]), c_0_93])]), c_0_240]), c_0_241])). 44.53/44.41 cnf(c_0_245, negated_conjecture, (esk3_0=esk1_0|lesseq(esk2_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_242, c_0_226])). 44.53/44.41 cnf(c_0_246, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_33, c_0_243])). 44.53/44.41 cnf(c_0_247, negated_conjecture, (lesseq(esk3_0,max(esk3_0,esk2_0))|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_61, c_0_244])). 44.53/44.41 cnf(c_0_248, negated_conjecture, (model_max(esk1_0,esk2_0,esk3_0)|lesseq(esk3_0,max(esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_33, c_0_244])). 44.53/44.41 cnf(c_0_249, plain, (model_max(X1,X2,max(max(X1,X2),X3))|~lesseq(X3,max(X1,X2))), inference(spm,[status(thm)],[c_0_51, c_0_215])). 44.53/44.41 cnf(c_0_250, negated_conjecture, (max(esk1_0,esk2_0)=esk2_0|esk3_0=esk1_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_245]), c_0_246])). 44.53/44.41 cnf(c_0_251, negated_conjecture, (max(esk3_0,esk2_0)=esk3_0|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229, c_0_247]), c_0_52]), c_0_93])])). 44.53/44.41 cnf(c_0_252, negated_conjecture, (max(esk3_0,esk2_0)=esk3_0|model_max(esk1_0,esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229, c_0_248]), c_0_52]), c_0_93])])). 44.53/44.41 cnf(c_0_253, negated_conjecture, (esk3_0=esk1_0|lesseq(esk3_0,X1)|~model_max(esk1_0,esk2_0,X1)), inference(spm,[status(thm)],[c_0_31, c_0_232])). 44.53/44.41 cnf(c_0_254, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,max(esk2_0,X1))|~lesseq(X1,esk2_0)), inference(spm,[status(thm)],[c_0_249, c_0_250])). 44.53/44.41 cnf(c_0_255, negated_conjecture, (max(esk3_0,esk2_0)=esk3_0|max(esk1_0,esk2_0)=esk3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_251]), c_0_252])). 44.53/44.41 cnf(c_0_256, plain, (lesseq(max(X1,X2),X1)|~lesseq(X2,X1)), inference(spm,[status(thm)],[c_0_83, c_0_108])). 44.53/44.41 cnf(c_0_257, negated_conjecture, (esk3_0=esk1_0|lesseq(esk3_0,max(esk2_0,X1))|~lesseq(X1,esk2_0)), inference(spm,[status(thm)],[c_0_253, c_0_254])). 44.53/44.41 cnf(c_0_258, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|model_max(esk3_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_57, c_0_255])). 44.53/44.41 cnf(c_0_259, negated_conjecture, (lesseq(esk2_0,esk4_3(esk3_0,X1,X2))|~model_ub(esk3_0,X1,X2)), inference(spm,[status(thm)],[c_0_242, c_0_42])). 44.53/44.41 cnf(c_0_260, plain, (model_ub(X1,X2,X3)|~lesseq(X2,max(X3,X4))|~lesseq(X1,max(X3,X4))|~lesseq(X4,X3)), inference(spm,[status(thm)],[c_0_59, c_0_256])). 44.53/44.41 cnf(c_0_261, negated_conjecture, (max(esk2_0,X1)=esk3_0|esk3_0=esk1_0|~lesseq(X1,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229, c_0_257]), c_0_93])])). 44.53/44.41 cnf(c_0_262, negated_conjecture, (model_max(esk3_0,esk2_0,esk3_0)|minsol_model_max(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_108, c_0_258])). 44.53/44.41 cnf(c_0_263, plain, (model_max(X1,X2,esk4_3(X3,max(X1,X2),X4))|~model_ub(X3,max(X1,X2),X4)), inference(spm,[status(thm)],[c_0_51, c_0_37])). 44.53/44.41 cnf(c_0_264, negated_conjecture, (esk4_3(esk3_0,X1,esk2_0)=esk2_0|~model_ub(esk3_0,X1,esk2_0)), inference(spm,[status(thm)],[c_0_36, c_0_259])). 44.53/44.41 cnf(c_0_265, negated_conjecture, (esk3_0=esk1_0|model_ub(X1,X2,esk2_0)|~lesseq(X2,esk3_0)|~lesseq(X1,esk3_0)|~lesseq(X3,esk2_0)), inference(spm,[status(thm)],[c_0_260, c_0_261])). 44.53/44.41 cnf(c_0_266, negated_conjecture, (esk3_0=esk1_0|lesseq(esk3_0,X1)|~lesseq(esk2_0,X1)), inference(spm,[status(thm)],[c_0_30, c_0_156])). 44.53/44.41 cnf(c_0_267, negated_conjecture, (model_max(esk3_0,esk2_0,esk3_0)|lesseq(esk3_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_61, c_0_262])). 44.53/44.41 cnf(c_0_268, negated_conjecture, (model_max(X1,X2,esk2_0)|~model_ub(esk3_0,max(X1,X2),esk2_0)), inference(spm,[status(thm)],[c_0_263, c_0_264])). 44.53/44.41 cnf(c_0_269, negated_conjecture, (esk3_0=esk1_0|model_ub(X1,X2,esk2_0)|~lesseq(X2,esk3_0)|~lesseq(X1,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265, c_0_266]), c_0_52])])). 44.53/44.41 cnf(c_0_270, negated_conjecture, (model_max(esk3_0,esk2_0,esk3_0)|lesseq(esk2_0,max(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_242, c_0_267])). 44.53/44.41 cnf(c_0_271, plain, (lesseq(max(X1,X2),X2)|~lesseq(X1,X2)), inference(spm,[status(thm)],[c_0_81, c_0_108])). 44.53/44.41 cnf(c_0_272, negated_conjecture, (esk3_0=esk1_0|model_max(X1,X2,esk2_0)|~lesseq(max(X1,X2),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268, c_0_269]), c_0_52])])). 44.53/44.41 cnf(c_0_273, negated_conjecture, (max(esk1_0,esk2_0)=esk2_0|model_max(esk3_0,esk2_0,esk3_0)|~model_max(esk1_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_68, c_0_270])). 44.53/44.41 cnf(c_0_274, negated_conjecture, (model_max(X1,esk2_0,esk3_0)|~lesseq(X1,esk2_0)), inference(spm,[status(thm)],[c_0_116, c_0_271])). 44.53/44.41 cnf(c_0_275, negated_conjecture, (esk3_0=esk1_0|model_max(X1,X2,esk2_0)|~model_max(X1,X2,esk3_0)), inference(spm,[status(thm)],[c_0_272, c_0_31])). 44.53/44.41 cnf(c_0_276, negated_conjecture, (model_max(esk3_0,esk2_0,esk3_0)|~model_max(esk1_0,esk2_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267, c_0_273]), c_0_274])). 44.53/44.41 cnf(c_0_277, plain, (X1=X2|~model_max(X2,X3,X1)|~lesseq(X1,X2)|~lesseq(X3,X2)), inference(spm,[status(thm)],[c_0_68, c_0_32])). 44.53/44.41 cnf(c_0_278, plain, (model_max(X1,X2,X3)|~lesseq(X2,X3)|~lesseq(X1,X2)), inference(spm,[status(thm)],[c_0_51, c_0_58])). 44.53/44.41 cnf(c_0_279, negated_conjecture, (esk3_0=esk1_0|model_max(esk3_0,esk2_0,esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275, c_0_276]), c_0_246])). 44.53/44.41 cnf(c_0_280, plain, (X1=X2|~lesseq(X1,X2)|~lesseq(X3,X1)|~lesseq(X2,X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277, c_0_278]), c_0_30])). 44.53/44.41 cnf(c_0_281, negated_conjecture, (lesseq(esk2_0,max(esk3_0,X1))|~lesseq(X1,esk3_0)), inference(spm,[status(thm)],[c_0_242, c_0_215])). 44.53/44.41 cnf(c_0_282, negated_conjecture, (esk3_0=esk1_0|lesseq(X1,esk2_0)|~minsol_model_max(esk3_0,esk2_0,X1)), inference(spm,[status(thm)],[c_0_56, c_0_279])). 44.53/44.41 cnf(c_0_283, negated_conjecture, (max(esk3_0,X1)=esk2_0|~lesseq(max(esk3_0,X1),X2)|~lesseq(X2,esk2_0)|~lesseq(X1,esk3_0)), inference(spm,[status(thm)],[c_0_280, c_0_281])). 44.53/44.41 cnf(c_0_284, negated_conjecture, (esk3_0=esk1_0|lesseq(max(esk3_0,esk2_0),esk2_0)), inference(spm,[status(thm)],[c_0_282, c_0_108])). 44.53/44.41 cnf(c_0_285, negated_conjecture, (max(esk3_0,esk2_0)=esk2_0|esk3_0=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283, c_0_284]), c_0_52]), c_0_93])])). 44.53/44.41 cnf(c_0_286, negated_conjecture, (esk3_0=esk1_0|minsol_model_max(esk3_0,esk2_0,esk2_0)), inference(spm,[status(thm)],[c_0_108, c_0_285])). 44.53/44.41 cnf(c_0_287, negated_conjecture, (esk3_0=esk1_0|lesseq(esk2_0,max(esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_61, c_0_286])). 44.53/44.41 cnf(c_0_288, negated_conjecture, (esk3_0=esk1_0|model_ub(X1,esk2_0,esk3_0)|~lesseq(X1,max(esk3_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260, c_0_287]), c_0_93])])). 44.53/44.41 cnf(c_0_289, plain, (minsol_model_ub(X1,X2,max(X3,X4))|~model_max(X3,X4,esk6_3(X1,X2,max(X3,X4)))|~model_ub(X1,X2,max(X3,X4))), inference(spm,[status(thm)],[c_0_132, c_0_31])). 44.53/44.41 cnf(c_0_290, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288, c_0_236]), c_0_93])])). 44.53/44.41 cnf(c_0_291, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|minsol_model_max(esk3_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_108, c_0_255])). 44.53/44.41 cnf(c_0_292, negated_conjecture, (esk3_0=esk1_0|minsol_model_ub(X1,X2,esk3_0)|~model_max(esk1_0,esk2_0,esk6_3(X1,X2,esk3_0))|~model_ub(X1,X2,esk3_0)), inference(spm,[status(thm)],[c_0_289, c_0_232])). 44.53/44.41 cnf(c_0_293, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))|minsol_model_ub(esk1_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_114, c_0_290])). 44.53/44.41 cnf(c_0_294, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|lesseq(esk3_0,max(esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_61, c_0_291])). 44.53/44.41 cnf(c_0_295, negated_conjecture, (esk3_0=esk1_0|~model_max(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))|~model_ub(esk1_0,esk2_0,esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_292]), c_0_237])). 44.53/44.41 cnf(c_0_296, negated_conjecture, (esk3_0=esk1_0|model_max(esk1_0,esk2_0,X1)|~lesseq(esk2_0,X1)), inference(spm,[status(thm)],[c_0_51, c_0_250])). 44.53/44.41 cnf(c_0_297, negated_conjecture, (esk3_0=esk1_0|model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_293]), c_0_237])). 44.53/44.41 cnf(c_0_298, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|lesseq(esk1_0,max(esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_231, c_0_294])). 44.53/44.41 cnf(c_0_299, negated_conjecture, (esk3_0=esk1_0|~model_ub(esk1_0,esk2_0,esk3_0)|~lesseq(esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_295, c_0_296])). 44.53/44.41 cnf(c_0_300, negated_conjecture, (esk3_0=esk1_0|lesseq(esk2_0,esk6_3(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_88, c_0_297])). 44.53/44.41 cnf(c_0_301, negated_conjecture, (max(esk1_0,esk2_0)=esk3_0|max(esk3_0,esk2_0)=esk1_0|~lesseq(esk3_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229, c_0_298]), c_0_93])])). 44.53/44.41 cnf(c_0_302, negated_conjecture, (esk3_0=esk1_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299, c_0_300]), c_0_290])). 44.53/44.41 cnf(c_0_303, negated_conjecture, (max(esk1_0,esk2_0)=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_301, c_0_302]), c_0_302]), c_0_302]), c_0_52])])). 44.53/44.41 cnf(c_0_304, plain, (model_ub(X1,X2,esk6_3(X1,X2,X3))|minsol_model_ub(X1,X2,X3)|~lesseq(X2,X3)|~lesseq(X1,X3)), inference(spm,[status(thm)],[c_0_114, c_0_64])). 44.53/44.41 cnf(c_0_305, negated_conjecture, (lesseq(esk2_0,esk1_0)), inference(rw,[status(thm)],[c_0_93, c_0_302])). 44.53/44.41 cnf(c_0_306, negated_conjecture, (minsol_model_max(esk1_0,esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_108, c_0_303])). 44.53/44.41 cnf(c_0_307, negated_conjecture, (model_ub(X1,esk2_0,esk6_3(X1,esk2_0,esk1_0))|minsol_model_ub(X1,esk2_0,esk1_0)|~lesseq(X1,esk1_0)), inference(spm,[status(thm)],[c_0_304, c_0_305])). 44.53/44.41 cnf(c_0_308, negated_conjecture, (~minsol_model_ub(esk1_0,esk2_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118, c_0_302]), c_0_302]), c_0_306])])). 44.53/44.41 cnf(c_0_309, negated_conjecture, (model_ub(esk1_0,esk2_0,esk6_3(esk1_0,esk2_0,esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307, c_0_52]), c_0_308])). 44.53/44.41 cnf(c_0_310, negated_conjecture, (lesseq(esk1_0,esk6_3(esk1_0,esk2_0,esk1_0))), inference(spm,[status(thm)],[c_0_90, c_0_309])). 44.53/44.41 cnf(c_0_311, negated_conjecture, (~model_ub(esk1_0,esk2_0,esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_310]), c_0_308])). 44.53/44.41 cnf(c_0_312, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311, c_0_64]), c_0_305]), c_0_52])]), ['proof']). 44.53/44.41 % SZS output end Proof 44.53/44.41 % User time : 42.672 s 44.53/44.41 % System time : 1.054 s 44.53/44.41 % Total time : 43.726 s 44.53/44.41 44.53/44.42 EOF