0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.03/0.23 % Computer : n065.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.06/0.23 % CPULimit : 300 0.06/0.23 % DateTime : Sat Jul 14 05:25:24 CDT 2018 0.06/0.24 % CPUTime : 0.06/0.24 # Version: 2.2pre001 0.06/0.24 # No SInE strategy applied 0.06/0.24 # Trying AutoSched0 for 151 seconds 0.06/0.27 # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S0Y 0.06/0.27 # and selection function SelectMaxLComplexAvoidPosPred. 0.06/0.27 # 0.06/0.27 # Preprocessing time : 0.010 s 0.06/0.27 0.06/0.27 # Proof found! 0.06/0.27 # SZS status Theorem 0.06/0.27 # SZS output start CNFRefutation 0.06/0.27 fof(t5_subset, axiom, ![X1, X2, X3]:~(((empty(X3)&element(X2,powerset(X3)))&in(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_subset)). 0.06/0.27 fof(existence_m1_subset_1, axiom, ![X1]:?[X2]:element(X2,X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_subset_1)). 0.06/0.27 fof(t2_subset, axiom, ![X1, X2]:(element(X1,X2)=>(in(X1,X2)|empty(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)). 0.06/0.27 fof(t23_relset_1, conjecture, ![X1, X2, X3]:(relation_of2_as_subset(X3,X1,X2)=>(![X4]:~((![X5]:~(in(ordered_pair(X5,X4),X3))&in(X4,X2)))<=>relation_rng_as_subset(X1,X2,X3)=X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t23_relset_1)). 0.06/0.27 fof(t6_boole, axiom, ![X1]:(X1=empty_set<=empty(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_boole)). 0.06/0.27 fof(t20_relat_1, axiom, ![X1, X2, X3]:(((in(X1,relation_dom(X3))&in(X2,relation_rng(X3)))<=in(ordered_pair(X1,X2),X3))<=relation(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t20_relat_1)). 0.06/0.27 fof(d5_tarski, axiom, ![X1, X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_tarski)). 0.06/0.27 fof(cc1_relset_1, axiom, ![X1, X2, X3]:(element(X3,powerset(cartesian_product2(X1,X2)))=>relation(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_relset_1)). 0.06/0.27 fof(dt_m2_relset_1, axiom, ![X1, X2, X3]:(element(X3,powerset(cartesian_product2(X1,X2)))<=relation_of2_as_subset(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m2_relset_1)). 0.06/0.27 fof(commutativity_k2_tarski, axiom, ![X1, X2]:unordered_pair(X2,X1)=unordered_pair(X1,X2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_tarski)). 0.06/0.27 fof(dt_k5_relset_1, axiom, ![X1, X2, X3]:(element(relation_rng_as_subset(X1,X2,X3),powerset(X2))<=relation_of2(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_relset_1)). 0.06/0.27 fof(redefinition_k5_relset_1, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)=>relation_rng(X3)=relation_rng_as_subset(X1,X2,X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k5_relset_1)). 0.06/0.27 fof(redefinition_m2_relset_1, axiom, ![X1, X2, X3]:(relation_of2(X3,X1,X2)<=>relation_of2_as_subset(X3,X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_m2_relset_1)). 0.06/0.27 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_xboole_0)). 0.06/0.27 fof(t2_tarski, axiom, ![X1, X2]:(![X3]:(in(X3,X1)<=>in(X3,X2))=>X2=X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_tarski)). 0.06/0.27 fof(t4_subset, axiom, ![X1, X2, X3]:(element(X1,X3)<=(element(X2,powerset(X3))&in(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_subset)). 0.06/0.27 fof(d5_relat_1, axiom, ![X1]:(relation(X1)=>![X2]:(X2=relation_rng(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X4,X3),X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_relat_1)). 0.06/0.27 fof(t7_boole, axiom, ![X1, X2]:~((in(X1,X2)&empty(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_boole)). 0.06/0.27 fof(c_0_18, plain, ![X45, X46, X47]:(~empty(X47)|~element(X46,powerset(X47))|~in(X45,X46)), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])])])). 0.06/0.27 fof(c_0_19, plain, ![X52]:element(esk9_1(X52),X52), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])])). 0.06/0.27 fof(c_0_20, plain, ![X23, X24]:(~element(X23,X24)|(in(X23,X24)|empty(X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])). 0.06/0.27 cnf(c_0_21, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_18])). 0.06/0.27 cnf(c_0_22, plain, (element(esk9_1(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.06/0.27 cnf(c_0_23, plain, (in(X1,X2)|empty(X2)|~element(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.06/0.27 fof(c_0_24, negated_conjecture, ~(![X1, X2, X3]:(relation_of2_as_subset(X3,X1,X2)=>(![X4]:~((![X5]:~(in(ordered_pair(X5,X4),X3))&in(X4,X2)))<=>relation_rng_as_subset(X1,X2,X3)=X2))), inference(assume_negation,[status(cth)],[t23_relset_1])). 0.06/0.27 fof(c_0_25, plain, ![X51]:(~empty(X51)|X51=empty_set), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t6_boole])])])). 0.06/0.27 cnf(c_0_26, plain, (~empty(X1)|~in(X2,esk9_1(powerset(X1)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.06/0.27 cnf(c_0_27, plain, (empty(X1)|in(esk9_1(X1),X1)), inference(spm,[status(thm)],[c_0_23, c_0_22])). 0.06/0.27 fof(c_0_28, plain, ![X11, X12, X13]:((in(X11,relation_dom(X13))|~in(ordered_pair(X11,X12),X13)|~relation(X13))&(in(X12,relation_rng(X13))|~in(ordered_pair(X11,X12),X13)|~relation(X13))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t20_relat_1])])])])). 0.06/0.27 fof(c_0_29, plain, ![X43, X44]:ordered_pair(X43,X44)=unordered_pair(unordered_pair(X43,X44),singleton(X43)), inference(variable_rename,[status(thm)],[d5_tarski])). 0.06/0.27 fof(c_0_30, negated_conjecture, ![X39, X40]:(relation_of2_as_subset(esk4_0,esk2_0,esk3_0)&(((~in(ordered_pair(X39,esk5_0),esk4_0)|relation_rng_as_subset(esk2_0,esk3_0,esk4_0)!=esk3_0)&(in(esk5_0,esk3_0)|relation_rng_as_subset(esk2_0,esk3_0,esk4_0)!=esk3_0))&(in(ordered_pair(esk6_1(X40),X40),esk4_0)|~in(X40,esk3_0)|relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_24])])])])])])])])). 0.06/0.27 fof(c_0_31, plain, ![X6, X7, X8]:(~element(X8,powerset(cartesian_product2(X6,X7)))|relation(X8)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])). 0.06/0.27 fof(c_0_32, plain, ![X18, X19, X20]:(~relation_of2_as_subset(X20,X18,X19)|element(X20,powerset(cartesian_product2(X18,X19)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_relset_1])])])). 0.06/0.27 cnf(c_0_33, plain, (X1=empty_set|~empty(X1)), inference(split_conjunct,[status(thm)],[c_0_25])). 0.06/0.27 cnf(c_0_34, plain, (empty(esk9_1(powerset(X1)))|~empty(X1)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.06/0.27 fof(c_0_35, plain, (~epred1_0<=>![X1]:~empty(X1)), introduced(definition)). 0.06/0.27 cnf(c_0_36, plain, (in(X1,relation_rng(X2))|~in(ordered_pair(X3,X1),X2)|~relation(X2)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.06/0.27 cnf(c_0_37, plain, (ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.06/0.27 fof(c_0_38, plain, ![X21, X22]:unordered_pair(X22,X21)=unordered_pair(X21,X22), inference(variable_rename,[status(thm)],[commutativity_k2_tarski])). 0.06/0.27 cnf(c_0_39, negated_conjecture, (in(ordered_pair(esk6_1(X1),X1),esk4_0)|relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|~in(X1,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_30])). 0.06/0.27 cnf(c_0_40, plain, (relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.06/0.27 cnf(c_0_41, plain, (element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_32])). 0.06/0.27 fof(c_0_42, plain, ![X72, X73, X74]:(~relation_of2(X74,X72,X73)|element(relation_rng_as_subset(X72,X73,X74),powerset(X73))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_relset_1])])])). 0.06/0.27 fof(c_0_43, plain, ![X64, X65, X66]:(~relation_of2(X66,X64,X65)|relation_rng(X66)=relation_rng_as_subset(X64,X65,X66)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1])])). 0.06/0.27 fof(c_0_44, plain, ![X76, X77, X78, X76, X77, X78]:((~relation_of2(X78,X76,X77)|relation_of2_as_subset(X78,X76,X77))&(~relation_of2_as_subset(X78,X76,X77)|relation_of2(X78,X76,X77))), inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])])). 0.06/0.27 fof(c_0_45, plain, (~epred2_0<=>![X2]:~in(X2,empty_set)), introduced(definition)). 0.06/0.27 cnf(c_0_46, plain, (esk9_1(powerset(X1))=empty_set|~empty(X1)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.06/0.27 cnf(c_0_47, plain, (epred1_0|~empty(X1)), inference(split_equiv,[status(thm)],[c_0_35])). 0.06/0.27 cnf(c_0_48, plain, (empty(empty_set)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])). 0.06/0.27 cnf(c_0_49, plain, (in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2)), inference(rw,[status(thm)],[c_0_36, c_0_37])). 0.06/0.27 cnf(c_0_50, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_38])). 0.06/0.27 cnf(c_0_51, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|in(unordered_pair(unordered_pair(esk6_1(X1),X1),singleton(esk6_1(X1))),esk4_0)|~in(X1,esk3_0)), inference(rw,[status(thm)],[c_0_39, c_0_37])). 0.06/0.27 cnf(c_0_52, plain, (relation(X1)|~relation_of2_as_subset(X1,X2,X3)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.06/0.27 cnf(c_0_53, negated_conjecture, (relation_of2_as_subset(esk4_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_30])). 0.06/0.27 cnf(c_0_54, plain, (element(relation_rng_as_subset(X2,X3,X1),powerset(X3))|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_42])). 0.06/0.27 cnf(c_0_55, plain, (relation_rng(X1)=relation_rng_as_subset(X2,X3,X1)|~relation_of2(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_43])). 0.06/0.27 cnf(c_0_56, plain, (relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_44])). 0.06/0.27 cnf(c_0_57, plain, (~epred2_0|~epred1_0), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_46]), c_0_35]), c_0_45])). 0.06/0.27 cnf(c_0_58, plain, (epred1_0), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.06/0.27 cnf(c_0_59, plain, (in(X1,relation_rng(X2))|~in(unordered_pair(unordered_pair(X1,X3),singleton(X3)),X2)|~relation(X2)), inference(spm,[status(thm)],[c_0_49, c_0_50])). 0.06/0.27 cnf(c_0_60, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|in(unordered_pair(unordered_pair(X1,esk6_1(X1)),singleton(esk6_1(X1))),esk4_0)|~in(X1,esk3_0)), inference(rw,[status(thm)],[c_0_51, c_0_50])). 0.06/0.27 cnf(c_0_61, negated_conjecture, (relation(esk4_0)), inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.06/0.27 fof(c_0_62, plain, ![X67, X68]:((~in(esk13_2(X67,X68),X67)|~in(esk13_2(X67,X68),X68)|X68=X67)&(in(esk13_2(X67,X68),X67)|in(esk13_2(X67,X68),X68)|X68=X67)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])])])). 0.06/0.27 cnf(c_0_63, plain, (element(relation_rng(X1),powerset(X2))|~relation_of2(X1,X3,X2)), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.06/0.27 cnf(c_0_64, negated_conjecture, (relation_of2(esk4_0,esk2_0,esk3_0)), inference(spm,[status(thm)],[c_0_56, c_0_53])). 0.06/0.27 cnf(c_0_65, plain, (~epred2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58])])). 0.06/0.27 fof(c_0_66, plain, ![X32, X33, X34]:(~element(X33,powerset(X34))|~in(X32,X33)|element(X32,X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t4_subset])])])). 0.06/0.27 cnf(c_0_67, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|in(X1,relation_rng(esk4_0))|~in(X1,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])])). 0.06/0.27 cnf(c_0_68, plain, (in(esk13_2(X1,X2),X1)|in(esk13_2(X1,X2),X2)|X2=X1), inference(split_conjunct,[status(thm)],[c_0_62])). 0.06/0.27 cnf(c_0_69, negated_conjecture, (element(relation_rng(esk4_0),powerset(esk3_0))), inference(spm,[status(thm)],[c_0_63, c_0_64])). 0.06/0.27 cnf(c_0_70, plain, (~in(X1,empty_set)), inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_45]), c_0_65])). 0.06/0.27 fof(c_0_71, plain, ![X54, X55, X56, X56, X58, X55, X60]:(((~in(X56,X55)|in(ordered_pair(esk10_3(X54,X55,X56),X56),X54)|X55!=relation_rng(X54)|~relation(X54))&(~in(ordered_pair(X58,X56),X54)|in(X56,X55)|X55!=relation_rng(X54)|~relation(X54)))&((~in(esk11_2(X54,X55),X55)|~in(ordered_pair(X60,esk11_2(X54,X55)),X54)|X55=relation_rng(X54)|~relation(X54))&(in(esk11_2(X54,X55),X55)|in(ordered_pair(esk12_2(X54,X55),esk11_2(X54,X55)),X54)|X55=relation_rng(X54)|~relation(X54)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_relat_1])])])])])])])). 0.06/0.27 cnf(c_0_72, plain, (element(X3,X2)|~element(X1,powerset(X2))|~in(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_66])). 0.06/0.27 cnf(c_0_73, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|X1=esk3_0|in(esk13_2(X1,esk3_0),relation_rng(esk4_0))|in(esk13_2(X1,esk3_0),X1)), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.06/0.27 cnf(c_0_74, negated_conjecture, (in(esk5_0,esk3_0)|relation_rng_as_subset(esk2_0,esk3_0,esk4_0)!=esk3_0), inference(split_conjunct,[status(thm)],[c_0_30])). 0.06/0.27 cnf(c_0_75, negated_conjecture, (~empty(esk3_0)|~in(X1,relation_rng(esk4_0))), inference(spm,[status(thm)],[c_0_21, c_0_69])). 0.06/0.27 cnf(c_0_76, plain, (empty_set=X1|in(esk13_2(empty_set,X1),X1)), inference(spm,[status(thm)],[c_0_70, c_0_68])). 0.06/0.27 fof(c_0_77, plain, ![X9, X10]:(~in(X9,X10)|~empty(X10)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])). 0.06/0.27 cnf(c_0_78, negated_conjecture, (~in(ordered_pair(X1,esk5_0),esk4_0)|relation_rng_as_subset(esk2_0,esk3_0,esk4_0)!=esk3_0), inference(split_conjunct,[status(thm)],[c_0_30])). 0.06/0.27 cnf(c_0_79, plain, (in(ordered_pair(esk10_3(X3,X2,X1),X1),X3)|~in(X1,X2)|X2!=relation_rng(X3)|~relation(X3)), inference(split_conjunct,[status(thm)],[c_0_71])). 0.06/0.27 cnf(c_0_80, negated_conjecture, (element(X1,esk3_0)|~in(X1,relation_rng(esk4_0))), inference(spm,[status(thm)],[c_0_72, c_0_69])). 0.06/0.27 cnf(c_0_81, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|relation_rng(esk4_0)=esk3_0|in(esk13_2(relation_rng(esk4_0),esk3_0),relation_rng(esk4_0))), inference(ef,[status(thm)],[c_0_73])). 0.06/0.27 cnf(c_0_82, negated_conjecture, (in(esk5_0,esk3_0)|relation_rng(esk4_0)!=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_55]), c_0_64])])). 0.06/0.27 cnf(c_0_83, negated_conjecture, (relation_rng(esk4_0)=empty_set|~empty(esk3_0)), inference(spm,[status(thm)],[c_0_75, c_0_76])). 0.06/0.27 cnf(c_0_84, plain, (~in(X1,X2)|~empty(X2)), inference(split_conjunct,[status(thm)],[c_0_77])). 0.06/0.27 cnf(c_0_85, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)!=esk3_0|~in(unordered_pair(unordered_pair(X1,esk5_0),singleton(X1)),esk4_0)), inference(rw,[status(thm)],[c_0_78, c_0_37])). 0.06/0.27 cnf(c_0_86, plain, (in(unordered_pair(unordered_pair(esk10_3(X3,X2,X1),X1),singleton(esk10_3(X3,X2,X1))),X3)|X2!=relation_rng(X3)|~relation(X3)|~in(X1,X2)), inference(rw,[status(thm)],[c_0_79, c_0_37])). 0.06/0.27 cnf(c_0_87, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|relation_rng(esk4_0)=esk3_0|element(esk13_2(relation_rng(esk4_0),esk3_0),esk3_0)), inference(spm,[status(thm)],[c_0_80, c_0_81])). 0.06/0.27 cnf(c_0_88, negated_conjecture, (~empty(esk3_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_33]), c_0_84])). 0.06/0.27 cnf(c_0_89, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)!=esk3_0|~in(unordered_pair(unordered_pair(esk5_0,X1),singleton(X1)),esk4_0)), inference(spm,[status(thm)],[c_0_85, c_0_50])). 0.06/0.27 cnf(c_0_90, plain, (in(unordered_pair(unordered_pair(X1,esk10_3(X2,relation_rng(X2),X1)),singleton(esk10_3(X2,relation_rng(X2),X1))),X2)|~in(X1,relation_rng(X2))|~relation(X2)), inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_86, c_0_50])])). 0.06/0.27 cnf(c_0_91, plain, (X2=X1|~in(esk13_2(X1,X2),X1)|~in(esk13_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_62])). 0.06/0.27 cnf(c_0_92, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|relation_rng(esk4_0)=esk3_0|in(esk13_2(relation_rng(esk4_0),esk3_0),esk3_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_87]), c_0_88])). 0.06/0.27 cnf(c_0_93, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)!=esk3_0|~in(esk5_0,relation_rng(esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_61])])). 0.06/0.27 cnf(c_0_94, negated_conjecture, (relation_rng_as_subset(esk2_0,esk3_0,esk4_0)=esk3_0|relation_rng(esk4_0)=esk3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_81])). 0.06/0.27 cnf(c_0_95, negated_conjecture, (relation_rng(esk4_0)!=esk3_0|~in(esk5_0,relation_rng(esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_55]), c_0_64])])). 0.06/0.27 cnf(c_0_96, negated_conjecture, (relation_rng(esk4_0)=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_94]), c_0_64])])). 0.06/0.27 cnf(c_0_97, negated_conjecture, (~in(esk5_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95, c_0_96]), c_0_96])])). 0.06/0.27 cnf(c_0_98, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82, c_0_96])]), c_0_97]), ['proof']). 0.06/0.27 # SZS output end CNFRefutation 0.06/0.27 # Proof object total steps : 99 0.06/0.27 # Proof object clause steps : 61 0.06/0.27 # Proof object formula steps : 38 0.06/0.27 # Proof object conjectures : 30 0.06/0.27 # Proof object clause conjectures : 27 0.06/0.27 # Proof object formula conjectures : 3 0.06/0.27 # Proof object initial clauses used : 23 0.06/0.27 # Proof object initial formulas used : 18 0.06/0.27 # Proof object generating inferences : 28 0.06/0.27 # Proof object simplifying inferences : 32 0.06/0.27 # Training examples: 0 positive, 0 negative 0.06/0.27 # Parsed axioms : 38 0.06/0.27 # Removed by relevancy pruning/SinE : 0 0.06/0.27 # Initial clauses : 48 0.06/0.27 # Removed in clause preprocessing : 11 0.06/0.27 # Initial clauses in saturation : 37 0.06/0.27 # Processed clauses : 620 0.06/0.27 # ...of these trivial : 1 0.06/0.27 # ...subsumed : 330 0.06/0.27 # ...remaining for further processing : 288 0.06/0.27 # Other redundant clauses eliminated : 2 0.06/0.27 # Clauses deleted for lack of memory : 0 0.06/0.27 # Backward-subsumed : 43 0.06/0.27 # Backward-rewritten : 57 0.06/0.27 # Generated clauses : 1313 0.06/0.27 # ...of the previous two non-trivial : 1274 0.06/0.27 # Contextual simplify-reflections : 240 0.06/0.27 # Paramodulations : 1295 0.06/0.27 # Factorizations : 6 0.06/0.27 # Equation resolutions : 2 0.06/0.27 # Propositional unsat checks : 0 0.06/0.27 # Propositional check models : 0 0.06/0.27 # Propositional check unsatisfiable : 0 0.06/0.27 # Propositional clauses : 0 0.06/0.27 # Propositional clauses after purity: 0 0.06/0.27 # Propositional unsat core size : 0 0.06/0.27 # Current number of processed clauses : 181 0.06/0.27 # Positive orientable unit clauses : 19 0.06/0.27 # Positive unorientable unit clauses: 1 0.06/0.27 # Negative unit clauses : 11 0.06/0.27 # Non-unit-clauses : 150 0.06/0.27 # Current number of unprocessed clauses: 458 0.06/0.27 # ...number of literals in the above : 1683 0.06/0.27 # Current number of archived formulas : 0 0.06/0.27 # Current number of archived clauses : 103 0.06/0.27 # Clause-clause subsumption calls (NU) : 22847 0.06/0.27 # Rec. Clause-clause subsumption calls : 14504 0.06/0.27 # Non-unit clause-clause subsumptions : 467 0.06/0.27 # Unit Clause-clause subsumption calls : 641 0.06/0.27 # Rewrite failures with RHS unbound : 0 0.06/0.27 # BW rewrite match attempts : 18 0.06/0.27 # BW rewrite match successes : 13 0.06/0.27 # Condensation attempts : 0 0.06/0.27 # Condensation successes : 0 0.06/0.27 # Termbank termtop insertions : 19690 0.06/0.27 0.06/0.27 # ------------------------------------------------- 0.06/0.27 # User time : 0.037 s 0.06/0.27 # System time : 0.001 s 0.06/0.27 # Total time : 0.038 s 0.06/0.27 # Maximum resident set size: 1504 pages 0.06/0.28 EOF