0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.10 % Command : enigmatic-eprover.py %s %d 1 0.09/0.30 % Computer : n018.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Thu Jul 2 08:37:23 EDT 2020 0.09/0.30 % CPUTime : 0.15/0.40 # ENIGMATIC: Selected SinE mode: 0.15/0.41 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.41 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p 0.15/0.41 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p 0.15/0.41 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p 39.81/6.77 # ENIGMATIC: Solved by autoschedule: 39.81/6.77 # No SInE strategy applied 39.81/6.77 # Trying AutoSched0 for 59 seconds 39.81/6.77 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S083N 39.81/6.77 # and selection function SelectCQArNT. 39.81/6.77 # 39.81/6.77 # Preprocessing time : 0.024 s 39.81/6.77 # Presaturation interreduction done 39.81/6.77 39.81/6.77 # Proof found! 39.81/6.77 # SZS status Theorem 39.81/6.77 # SZS output start CNFRefutation 39.81/6.77 fof(test_2, axiom, ![X4, X5]:(complement(X5,X4)<=>((zero=multiplication(X4,X5)&zero=multiplication(X5,X4))&addition(X4,X5)=one)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax', test_2)). 39.81/6.77 fof(test_1, axiom, ![X4]:(test(X4)<=>?[X5]:complement(X5,X4)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax', test_1)). 39.81/6.77 fof(test_3, axiom, ![X4, X5]:((complement(X4,X5)<=>X5=c(X4))<=test(X4)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax', test_3)). 39.81/6.77 fof(left_distributivity, axiom, ![X1, X2, X3]:addition(multiplication(X1,X3),multiplication(X2,X3))=multiplication(addition(X1,X2),X3), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', left_distributivity)). 39.81/6.77 fof(additive_identity, axiom, ![X1]:addition(X1,zero)=X1, file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', additive_identity)). 39.81/6.77 fof(multiplicative_left_identity, axiom, ![X1]:multiplication(one,X1)=X1, file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', multiplicative_left_identity)). 39.81/6.77 fof(goals, conjecture, ![X4, X5]:(multiplication(X4,X5)=multiplication(X5,X4)<=(test(X5)&test(X4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)). 39.81/6.77 fof(multiplicative_associativity, axiom, ![X1, X2, X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', multiplicative_associativity)). 39.81/6.77 fof(left_annihilation, axiom, ![X1]:zero=multiplication(zero,X1), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', left_annihilation)). 39.81/6.77 fof(additive_commutativity, axiom, ![X1, X2]:addition(X2,X1)=addition(X1,X2), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', additive_commutativity)). 39.81/6.77 fof(right_distributivity, axiom, ![X1, X2, X3]:addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,X3)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', right_distributivity)). 39.81/6.77 fof(additive_associativity, axiom, ![X3, X2, X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', additive_associativity)). 39.81/6.77 fof(additive_idempotence, axiom, ![X1]:X1=addition(X1,X1), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', additive_idempotence)). 39.81/6.77 fof(multiplicative_right_identity, axiom, ![X1]:multiplication(X1,one)=X1, file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', multiplicative_right_identity)). 39.81/6.77 fof(order, axiom, ![X1, X2]:(leq(X1,X2)<=>X2=addition(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', order)). 39.81/6.77 fof(c_0_15, plain, ![X32, X33]:((((zero=multiplication(X32,X33)|~complement(X33,X32))&(zero=multiplication(X33,X32)|~complement(X33,X32)))&(addition(X32,X33)=one|~complement(X33,X32)))&(zero!=multiplication(X32,X33)|zero!=multiplication(X33,X32)|addition(X32,X33)!=one|complement(X33,X32))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])])). 39.81/6.77 fof(c_0_16, plain, ![X28, X30, X31]:((~test(X28)|complement(esk1_1(X28),X28))&(~complement(X31,X30)|test(X30))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])])). 39.81/6.77 fof(c_0_17, plain, ![X34, X35]:((~complement(X34,X35)|X35=c(X34)|~test(X34))&(X35!=c(X34)|complement(X34,X35)|~test(X34))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[test_3])])])])). 39.81/6.77 fof(c_0_18, plain, ![X6, X7, X8]:addition(multiplication(X6,X8),multiplication(X7,X8))=multiplication(addition(X6,X7),X8), inference(variable_rename,[status(thm)],[left_distributivity])). 39.81/6.77 cnf(c_0_19, plain, (zero=multiplication(X1,X2)|~complement(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_15])). 39.81/6.77 cnf(c_0_20, plain, (complement(esk1_1(X1),X1)|~test(X1)), inference(split_conjunct,[status(thm)],[c_0_16])). 39.81/6.77 fof(c_0_21, plain, ![X17]:addition(X17,zero)=X17, inference(variable_rename,[status(thm)],[additive_identity])). 39.81/6.77 cnf(c_0_22, plain, (complement(X2,X1)|X1!=c(X2)|~test(X2)), inference(split_conjunct,[status(thm)],[c_0_17])). 39.81/6.77 cnf(c_0_23, plain, (addition(multiplication(X1,X2),multiplication(X3,X2))=multiplication(addition(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_18])). 39.81/6.77 cnf(c_0_24, plain, (multiplication(esk1_1(X1),X1)=zero|~test(X1)), inference(spm,[status(thm)],[c_0_19, c_0_20])). 39.81/6.77 cnf(c_0_25, plain, (addition(X1,zero)=X1), inference(split_conjunct,[status(thm)],[c_0_21])). 39.81/6.77 cnf(c_0_26, plain, (addition(X1,X2)=one|~complement(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_15])). 39.81/6.77 fof(c_0_27, plain, ![X12]:multiplication(one,X12)=X12, inference(variable_rename,[status(thm)],[multiplicative_left_identity])). 39.81/6.77 fof(c_0_28, negated_conjecture, ~(![X4, X5]:(multiplication(X4,X5)=multiplication(X5,X4)<=(test(X5)&test(X4)))), inference(assume_negation,[status(cth)],[goals])). 39.81/6.77 fof(c_0_29, plain, ![X25, X26, X27]:multiplication(X25,multiplication(X26,X27))=multiplication(multiplication(X25,X26),X27), inference(variable_rename,[status(thm)],[multiplicative_associativity])). 39.81/6.77 cnf(c_0_30, plain, (zero=multiplication(X1,X2)|~complement(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_15])). 39.81/6.77 cnf(c_0_31, plain, (complement(X1,c(X1))|~test(X1)), inference(er,[status(thm)],[c_0_22])). 39.81/6.77 fof(c_0_32, plain, ![X24]:zero=multiplication(zero,X24), inference(variable_rename,[status(thm)],[left_annihilation])). 39.81/6.77 cnf(c_0_33, plain, (multiplication(addition(X1,esk1_1(X2)),X2)=multiplication(X1,X2)|~test(X2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])). 39.81/6.77 cnf(c_0_34, plain, (addition(X1,esk1_1(X1))=one|~test(X1)), inference(spm,[status(thm)],[c_0_26, c_0_20])). 39.81/6.77 cnf(c_0_35, plain, (multiplication(one,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_27])). 39.81/6.77 fof(c_0_36, negated_conjecture, ((test(esk3_0)&test(esk2_0))&multiplication(esk2_0,esk3_0)!=multiplication(esk3_0,esk2_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_28])])])])). 39.81/6.77 cnf(c_0_37, plain, (multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_29])). 39.81/6.77 cnf(c_0_38, plain, (multiplication(c(X1),X1)=zero|~test(X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])). 39.81/6.77 cnf(c_0_39, plain, (zero=multiplication(zero,X1)), inference(split_conjunct,[status(thm)],[c_0_32])). 39.81/6.77 cnf(c_0_40, plain, (multiplication(X1,X1)=X1|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])). 39.81/6.77 cnf(c_0_41, negated_conjecture, (test(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_36])). 39.81/6.77 fof(c_0_42, plain, ![X10, X11]:addition(X11,X10)=addition(X10,X11), inference(variable_rename,[status(thm)],[additive_commutativity])). 39.81/6.77 cnf(c_0_43, plain, (multiplication(c(X1),multiplication(X1,X2))=zero|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])). 39.81/6.77 cnf(c_0_44, negated_conjecture, (multiplication(esk2_0,esk2_0)=esk2_0), inference(spm,[status(thm)],[c_0_40, c_0_41])). 39.81/6.77 cnf(c_0_45, plain, (addition(X1,X2)=addition(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_42])). 39.81/6.77 fof(c_0_46, plain, ![X13, X14, X15]:addition(multiplication(X13,X14),multiplication(X13,X15))=multiplication(X13,addition(X14,X15)), inference(variable_rename,[status(thm)],[right_distributivity])). 39.81/6.77 cnf(c_0_47, negated_conjecture, (multiplication(c(esk2_0),esk2_0)=zero), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_41])])). 39.81/6.77 cnf(c_0_48, plain, (addition(zero,X1)=X1), inference(spm,[status(thm)],[c_0_25, c_0_45])). 39.81/6.77 fof(c_0_49, plain, ![X21, X22, X23]:addition(X23,addition(X22,X21))=addition(addition(X23,X22),X21), inference(variable_rename,[status(thm)],[additive_associativity])). 39.81/6.77 fof(c_0_50, plain, ![X16]:X16=addition(X16,X16), inference(variable_rename,[status(thm)],[additive_idempotence])). 39.81/6.77 cnf(c_0_51, plain, (addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_46])). 39.81/6.77 fof(c_0_52, plain, ![X9]:multiplication(X9,one)=X9, inference(variable_rename,[status(thm)],[multiplicative_right_identity])). 39.81/6.77 cnf(c_0_53, plain, (test(X2)|~complement(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])). 39.81/6.77 cnf(c_0_54, negated_conjecture, (multiplication(addition(c(esk2_0),X1),esk2_0)=multiplication(X1,esk2_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_47]), c_0_48])). 39.81/6.77 cnf(c_0_55, plain, (addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_49])). 39.81/6.77 cnf(c_0_56, plain, (X1=addition(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_50])). 39.81/6.77 cnf(c_0_57, plain, (multiplication(esk1_1(X1),addition(X2,X1))=multiplication(esk1_1(X1),X2)|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_24]), c_0_25])). 39.81/6.77 cnf(c_0_58, plain, (addition(X1,c(X1))=one|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_31]), c_0_45])). 39.81/6.77 cnf(c_0_59, plain, (multiplication(X1,one)=X1), inference(split_conjunct,[status(thm)],[c_0_52])). 39.81/6.77 cnf(c_0_60, plain, (test(c(X1))|~test(X1)), inference(spm,[status(thm)],[c_0_53, c_0_31])). 39.81/6.77 cnf(c_0_61, negated_conjecture, (multiplication(esk1_1(c(esk2_0)),esk2_0)=esk2_0|~test(c(esk2_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_34]), c_0_35])). 39.81/6.77 cnf(c_0_62, plain, (addition(X1,addition(X1,X2))=addition(X1,X2)), inference(spm,[status(thm)],[c_0_55, c_0_56])). 39.81/6.77 cnf(c_0_63, plain, (multiplication(esk1_1(c(X1)),X1)=esk1_1(c(X1))|~test(X1)), inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59]), c_0_60])). 39.81/6.77 cnf(c_0_64, negated_conjecture, (multiplication(esk1_1(c(esk2_0)),esk2_0)=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_60]), c_0_41])])). 39.81/6.77 cnf(c_0_65, plain, (addition(X1,one)=one|~test(X1)), inference(spm,[status(thm)],[c_0_62, c_0_34])). 39.81/6.77 cnf(c_0_66, negated_conjecture, (test(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_36])). 39.81/6.77 cnf(c_0_67, negated_conjecture, (esk1_1(c(esk2_0))=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_41])])). 39.81/6.77 cnf(c_0_68, plain, (addition(X1,multiplication(X1,X2))=multiplication(X1,addition(one,X2))), inference(spm,[status(thm)],[c_0_51, c_0_59])). 39.81/6.77 cnf(c_0_69, negated_conjecture, (addition(one,esk3_0)=one), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_45])). 39.81/6.77 cnf(c_0_70, negated_conjecture, (complement(esk2_0,c(esk2_0))|~test(c(esk2_0))), inference(spm,[status(thm)],[c_0_20, c_0_67])). 39.81/6.77 cnf(c_0_71, negated_conjecture, (addition(X1,multiplication(X1,esk3_0))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_59])). 39.81/6.77 cnf(c_0_72, negated_conjecture, (complement(esk2_0,c(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_60]), c_0_41])])). 39.81/6.77 cnf(c_0_73, negated_conjecture, (addition(X1,addition(X2,multiplication(addition(X1,X2),esk3_0)))=addition(X1,X2)), inference(spm,[status(thm)],[c_0_55, c_0_71])). 39.81/6.77 cnf(c_0_74, negated_conjecture, (addition(esk2_0,c(esk2_0))=one), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_72]), c_0_45])). 39.81/6.77 cnf(c_0_75, plain, (addition(multiplication(X1,addition(X2,X3)),X4)=addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4))), inference(spm,[status(thm)],[c_0_55, c_0_51])). 39.81/6.77 cnf(c_0_76, plain, (multiplication(esk1_1(X1),addition(X2,addition(X1,X3)))=multiplication(esk1_1(X1),addition(X2,X3))|~test(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_57]), c_0_51]), c_0_55])). 39.81/6.77 cnf(c_0_77, negated_conjecture, (addition(esk2_0,addition(c(esk2_0),esk3_0))=one), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_35])). 39.81/6.77 cnf(c_0_78, negated_conjecture, (test(c(esk2_0))), inference(spm,[status(thm)],[c_0_53, c_0_72])). 39.81/6.77 cnf(c_0_79, plain, (multiplication(X1,c(X1))=zero|~test(X1)), inference(spm,[status(thm)],[c_0_19, c_0_31])). 39.81/6.77 cnf(c_0_80, plain, (addition(multiplication(X1,X2),addition(multiplication(X1,X3),esk1_1(multiplication(X1,addition(X2,X3)))))=one|~test(multiplication(X1,addition(X2,X3)))), inference(spm,[status(thm)],[c_0_34, c_0_75])). 39.81/6.77 cnf(c_0_81, negated_conjecture, (multiplication(esk2_0,addition(esk2_0,esk3_0))=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_59]), c_0_67]), c_0_67]), c_0_78])])). 39.81/6.77 cnf(c_0_82, negated_conjecture, (addition(X1,addition(multiplication(X1,esk3_0),X2))=addition(X1,X2)), inference(spm,[status(thm)],[c_0_55, c_0_71])). 39.81/6.77 cnf(c_0_83, plain, (multiplication(esk1_1(esk1_1(X1)),X1)=esk1_1(esk1_1(X1))|~test(esk1_1(X1))|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_34]), c_0_59])). 39.81/6.77 cnf(c_0_84, negated_conjecture, (multiplication(esk3_0,esk3_0)=esk3_0), inference(spm,[status(thm)],[c_0_40, c_0_66])). 39.81/6.77 fof(c_0_85, plain, ![X18, X19]:((~leq(X18,X19)|X19=addition(X18,X19))&(X19!=addition(X18,X19)|leq(X18,X19))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])). 39.81/6.77 cnf(c_0_86, plain, (multiplication(addition(X1,X2),c(X1))=multiplication(X2,c(X1))|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_79]), c_0_48])). 39.81/6.77 cnf(c_0_87, negated_conjecture, (addition(esk2_0,esk1_1(esk2_0))=one), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_44]), c_0_82]), c_0_41])])). 39.81/6.77 cnf(c_0_88, negated_conjecture, (multiplication(esk1_1(esk2_0),c(esk2_0))=esk1_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_67]), c_0_41])]), c_0_78])])). 39.81/6.77 cnf(c_0_89, plain, (multiplication(X1,esk1_1(X1))=zero|~test(X1)), inference(spm,[status(thm)],[c_0_30, c_0_20])). 39.81/6.77 cnf(c_0_90, negated_conjecture, (multiplication(c(esk3_0),esk3_0)=zero), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_84]), c_0_66])])). 39.81/6.77 cnf(c_0_91, plain, (leq(X2,X1)|X1!=addition(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_85])). 39.81/6.77 cnf(c_0_92, negated_conjecture, (addition(one,esk2_0)=one), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_41]), c_0_45])). 39.81/6.77 cnf(c_0_93, plain, (multiplication(esk1_1(X1),addition(X1,X2))=multiplication(esk1_1(X1),X2)|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_24]), c_0_48])). 39.81/6.77 cnf(c_0_94, negated_conjecture, (esk1_1(esk2_0)=c(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_35]), c_0_88]), c_0_41])])). 39.81/6.77 cnf(c_0_95, plain, (multiplication(X1,multiplication(X2,esk1_1(multiplication(X1,X2))))=zero|~test(multiplication(X1,X2))), inference(spm,[status(thm)],[c_0_37, c_0_89])). 39.81/6.77 cnf(c_0_96, negated_conjecture, (multiplication(addition(c(esk3_0),X1),esk3_0)=multiplication(X1,esk3_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_90]), c_0_48])). 39.81/6.77 cnf(c_0_97, plain, (leq(X1,X2)|addition(X2,X1)!=X2), inference(spm,[status(thm)],[c_0_91, c_0_45])). 39.81/6.77 cnf(c_0_98, negated_conjecture, (addition(X1,multiplication(X1,esk2_0))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_92]), c_0_59])). 39.81/6.77 cnf(c_0_99, plain, (addition(multiplication(esk1_1(X1),X2),multiplication(X3,addition(X1,X2)))=multiplication(addition(esk1_1(X1),X3),addition(X1,X2))|~test(X1)), inference(spm,[status(thm)],[c_0_23, c_0_93])). 39.81/6.77 cnf(c_0_100, negated_conjecture, (multiplication(c(esk2_0),addition(c(esk2_0),esk3_0))=c(esk2_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_77]), c_0_59]), c_0_41])]), c_0_94]), c_0_94])). 39.81/6.77 cnf(c_0_101, negated_conjecture, (multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_84]), c_0_66])])). 39.81/6.77 cnf(c_0_102, negated_conjecture, (multiplication(esk3_0,multiplication(esk3_0,X1))=multiplication(esk3_0,X1)), inference(spm,[status(thm)],[c_0_37, c_0_84])). 39.81/6.77 cnf(c_0_103, plain, (complement(X2,X1)|zero!=multiplication(X1,X2)|zero!=multiplication(X2,X1)|addition(X1,X2)!=one), inference(split_conjunct,[status(thm)],[c_0_15])). 39.81/6.77 cnf(c_0_104, negated_conjecture, (multiplication(esk1_1(c(esk3_0)),esk3_0)=esk3_0|~test(c(esk3_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_34]), c_0_35])). 39.81/6.77 cnf(c_0_105, negated_conjecture, (leq(multiplication(X1,esk2_0),X1)), inference(spm,[status(thm)],[c_0_97, c_0_98])). 39.81/6.77 cnf(c_0_106, plain, (multiplication(addition(X1,X2),esk1_1(X1))=multiplication(X2,esk1_1(X1))|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_89]), c_0_48])). 39.81/6.77 cnf(c_0_107, negated_conjecture, (addition(c(esk2_0),multiplication(esk2_0,esk3_0))=addition(c(esk2_0),esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_67]), c_0_45]), c_0_67]), c_0_74]), c_0_35]), c_0_78])])). 39.81/6.77 cnf(c_0_108, negated_conjecture, (multiplication(esk3_0,esk1_1(esk3_0))=zero), inference(rw,[status(thm)],[c_0_101, c_0_102])). 39.81/6.77 cnf(c_0_109, plain, (complement(X1,X2)|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero|addition(X1,X2)!=one), inference(spm,[status(thm)],[c_0_103, c_0_45])). 39.81/6.77 cnf(c_0_110, negated_conjecture, (multiplication(esk1_1(c(esk3_0)),esk3_0)=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_60]), c_0_66])])). 39.81/6.77 cnf(c_0_111, negated_conjecture, (leq(multiplication(X1,multiplication(X2,esk2_0)),multiplication(X1,X2))), inference(spm,[status(thm)],[c_0_105, c_0_37])). 39.81/6.77 cnf(c_0_112, negated_conjecture, (multiplication(esk2_0,multiplication(esk3_0,esk2_0))=multiplication(esk3_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_67]), c_0_54]), c_0_67]), c_0_37]), c_0_78])])). 39.81/6.77 cnf(c_0_113, negated_conjecture, (multiplication(esk3_0,addition(esk1_1(esk3_0),X1))=multiplication(esk3_0,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_108]), c_0_48])). 39.81/6.77 cnf(c_0_114, plain, (complement(X1,esk1_1(X1))|~test(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_34]), c_0_24]), c_0_89])). 39.81/6.77 cnf(c_0_115, negated_conjecture, (esk1_1(c(esk3_0))=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_63]), c_0_66])])). 39.81/6.77 cnf(c_0_116, plain, (X2=addition(X1,X2)|~leq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_85])). 39.81/6.77 cnf(c_0_117, negated_conjecture, (leq(multiplication(esk3_0,esk2_0),multiplication(esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_111, c_0_112])). 39.81/6.77 cnf(c_0_118, negated_conjecture, (multiplication(esk3_0,esk1_1(esk1_1(esk3_0)))=esk3_0|~test(esk1_1(esk3_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_34]), c_0_59])). 39.81/6.77 cnf(c_0_119, plain, (test(esk1_1(X1))|~test(X1)), inference(spm,[status(thm)],[c_0_53, c_0_114])). 39.81/6.77 cnf(c_0_120, negated_conjecture, (complement(esk3_0,c(esk3_0))|~test(c(esk3_0))), inference(spm,[status(thm)],[c_0_20, c_0_115])). 39.81/6.77 cnf(c_0_121, plain, (leq(multiplication(X1,X2),multiplication(X1,X3))|multiplication(X1,addition(X3,X2))!=multiplication(X1,X3)), inference(spm,[status(thm)],[c_0_97, c_0_51])). 39.81/6.77 cnf(c_0_122, negated_conjecture, (addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0))=multiplication(esk2_0,esk3_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_117]), c_0_45])). 39.81/6.77 cnf(c_0_123, negated_conjecture, (multiplication(esk3_0,esk1_1(esk1_1(esk3_0)))=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119]), c_0_66])])). 39.81/6.77 cnf(c_0_124, negated_conjecture, (complement(esk3_0,c(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_60]), c_0_66])])). 39.81/6.77 cnf(c_0_125, negated_conjecture, (leq(multiplication(X1,multiplication(esk3_0,esk2_0)),multiplication(X1,multiplication(esk2_0,esk3_0)))), inference(spm,[status(thm)],[c_0_121, c_0_122])). 39.81/6.77 cnf(c_0_126, negated_conjecture, (multiplication(esk3_0,addition(one,esk1_1(esk1_1(esk3_0))))=esk3_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_123]), c_0_56])). 39.81/6.77 cnf(c_0_127, negated_conjecture, (test(c(esk3_0))), inference(spm,[status(thm)],[c_0_53, c_0_124])). 39.81/6.77 cnf(c_0_128, plain, (addition(multiplication(addition(X1,X2),X3),X4)=addition(multiplication(X1,X3),addition(multiplication(X2,X3),X4))), inference(spm,[status(thm)],[c_0_55, c_0_23])). 39.81/6.77 cnf(c_0_129, negated_conjecture, (leq(multiplication(esk3_0,esk2_0),multiplication(esk3_0,multiplication(esk2_0,esk3_0)))), inference(spm,[status(thm)],[c_0_125, c_0_102])). 39.81/6.77 cnf(c_0_130, negated_conjecture, (addition(esk3_0,esk1_1(esk3_0))=one), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_126]), c_0_59]), c_0_123]), c_0_62]), c_0_66])])). 39.81/6.77 cnf(c_0_131, negated_conjecture, (multiplication(esk1_1(esk3_0),c(esk3_0))=esk1_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_115]), c_0_66])]), c_0_127])])). 39.81/6.77 cnf(c_0_132, plain, (addition(multiplication(X1,X2),addition(multiplication(esk1_1(X1),X2),X3))=addition(X2,X3)|~test(X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_34]), c_0_35])). 39.81/6.77 cnf(c_0_133, negated_conjecture, (multiplication(esk3_0,multiplication(esk2_0,esk3_0))=multiplication(esk3_0,esk2_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_129]), c_0_51]), c_0_71])). 39.81/6.77 cnf(c_0_134, negated_conjecture, (esk1_1(esk3_0)=c(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_130]), c_0_35]), c_0_131]), c_0_66])])). 39.81/6.77 cnf(c_0_135, negated_conjecture, (multiplication(c(esk3_0),multiplication(esk2_0,esk3_0))=zero), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_98]), c_0_90]), c_0_37])). 39.81/6.77 cnf(c_0_136, negated_conjecture, (multiplication(addition(X1,c(esk3_0)),esk3_0)=multiplication(X1,esk3_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_90]), c_0_25])). 39.81/6.77 cnf(c_0_137, negated_conjecture, (addition(multiplication(esk3_0,esk2_0),X1)=addition(multiplication(esk2_0,esk3_0),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_133]), c_0_134]), c_0_135]), c_0_48]), c_0_66])])). 39.81/6.77 cnf(c_0_138, negated_conjecture, (multiplication(esk2_0,esk3_0)!=multiplication(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_36])). 39.81/6.77 cnf(c_0_139, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_136]), c_0_37]), c_0_84]), c_0_37]), c_0_133]), c_0_138]), ['proof']). 39.81/6.77 # SZS output end CNFRefutation 39.81/6.77 # Training examples: 0 positive, 0 negative 39.81/6.77 39.81/6.77 # ------------------------------------------------- 39.81/6.77 # User time : 3.190 s 39.81/6.77 # System time : 0.097 s 39.81/6.77 # Total time : 3.288 s 39.81/6.77 # Maximum resident set size: 7116 pages 39.81/6.77 39.81/6.81 EOF