0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 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 08:17:07 EDT 2020 0.09/0.30 % CPUTime : 0.09/0.30 # Version: 2.5pre002 0.15/0.31 # No SInE strategy applied 0.15/0.31 # Trying AutoSched0 for 59 seconds 1.06/1.30 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S 1.06/1.30 # and selection function SelectNewComplexAHP. 1.06/1.30 # 1.06/1.30 # Preprocessing time : 0.029 s 1.06/1.30 # Presaturation interreduction done 1.06/1.30 1.06/1.30 # Proof found! 1.06/1.30 # SZS status Theorem 1.06/1.30 # SZS output start CNFRefutation 1.06/1.30 fof(p6, axiom, ![X1]:(![X2]:(![X3]:(ilf_type(X3,relation_type(X1,X2))=>(subset(domain_of(X3),X1)&subset(range_of(X3),X2)))<=ilf_type(X2,set_type))<=ilf_type(X1,set_type)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p6)). 1.06/1.30 fof(p26, axiom, ![X1]:ilf_type(X1,set_type), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p26)). 1.06/1.30 fof(prove_relset_1_13, conjecture, ![X1]:(ilf_type(X1,set_type)=>![X2]:(![X3]:(ilf_type(X3,set_type)=>![X4]:(ilf_type(X4,relation_type(X1,X3))=>(subset(domain_of(X4),X2)=>ilf_type(X4,relation_type(X2,X3)))))<=ilf_type(X2,set_type))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_relset_1_13)). 1.06/1.30 fof(p4, axiom, ![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(![X3]:(ilf_type(X3,relation_type(X1,X2))<=ilf_type(X3,subset_type(cross_product(X1,X2))))&![X4]:(ilf_type(X4,subset_type(cross_product(X1,X2)))<=ilf_type(X4,relation_type(X1,X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p4)). 1.06/1.30 fof(p3, axiom, ![X1]:(![X2]:(![X3]:(![X4]:(ilf_type(X4,set_type)=>((subset(X1,X2)&subset(X3,X4))=>subset(cross_product(X1,X3),cross_product(X2,X4))))<=ilf_type(X3,set_type))<=ilf_type(X2,set_type))<=ilf_type(X1,set_type)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p3)). 1.06/1.30 fof(p13, axiom, ![X1]:(ilf_type(X1,set_type)=>(ilf_type(X1,binary_relation_type)<=>(relation_like(X1)&ilf_type(X1,set_type)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p13)). 1.06/1.30 fof(p23, axiom, ![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,subset_type(cross_product(X1,X2)))=>relation_like(X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p23)). 1.06/1.30 fof(p1, axiom, ![X1]:(![X2]:(ilf_type(X2,set_type)=>![X3]:(((subset(X1,X2)&subset(X2,X3))=>subset(X1,X3))<=ilf_type(X3,set_type)))<=ilf_type(X1,set_type)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p1)). 1.06/1.30 fof(p2, axiom, ![X1]:(subset(X1,cross_product(domain_of(X1),range_of(X1)))<=ilf_type(X1,binary_relation_type)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p2)). 1.06/1.30 fof(p9, axiom, ![X1]:(![X2]:(ilf_type(X2,set_type)=>(![X3]:(ilf_type(X3,set_type)=>(member(X3,X1)=>member(X3,X2)))<=>subset(X1,X2)))<=ilf_type(X1,set_type)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p9)). 1.06/1.30 fof(p18, axiom, ![X1]:(ilf_type(X1,set_type)=>![X2]:((![X3]:(ilf_type(X3,set_type)=>(member(X3,X1)=>member(X3,X2)))<=>member(X1,power_set(X2)))<=ilf_type(X2,set_type))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p18)). 1.06/1.30 fof(p24, axiom, ![X1]:((![X2]:(~(member(X2,X1))<=ilf_type(X2,set_type))<=>empty(X1))<=ilf_type(X1,set_type)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p24)). 1.06/1.30 fof(p20, axiom, ![X1]:(![X2]:((member(X1,X2)<=>ilf_type(X1,member_type(X2)))<=(ilf_type(X2,set_type)&~(empty(X2))))<=ilf_type(X1,set_type)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p20)). 1.06/1.30 fof(p15, axiom, ![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(ilf_type(X2,subset_type(X1))<=>ilf_type(X2,member_type(power_set(X1)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p15)). 1.06/1.30 fof(c_0_14, plain, ![X5, X6, X7]:((subset(domain_of(X7),X5)|~ilf_type(X7,relation_type(X5,X6))|~ilf_type(X6,set_type)|~ilf_type(X5,set_type))&(subset(range_of(X7),X6)|~ilf_type(X7,relation_type(X5,X6))|~ilf_type(X6,set_type)|~ilf_type(X5,set_type))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p6])])])])])). 1.06/1.30 fof(c_0_15, plain, ![X34]:ilf_type(X34,set_type), inference(variable_rename,[status(thm)],[p26])). 1.06/1.30 fof(c_0_16, negated_conjecture, ~(![X1]:(ilf_type(X1,set_type)=>![X2]:(![X3]:(ilf_type(X3,set_type)=>![X4]:(ilf_type(X4,relation_type(X1,X3))=>(subset(domain_of(X4),X2)=>ilf_type(X4,relation_type(X2,X3)))))<=ilf_type(X2,set_type)))), inference(assume_negation,[status(cth)],[prove_relset_1_13])). 1.06/1.30 fof(c_0_17, plain, ![X68, X69, X70, X71]:((~ilf_type(X70,subset_type(cross_product(X68,X69)))|ilf_type(X70,relation_type(X68,X69))|~ilf_type(X69,set_type)|~ilf_type(X68,set_type))&(~ilf_type(X71,relation_type(X68,X69))|ilf_type(X71,subset_type(cross_product(X68,X69)))|~ilf_type(X69,set_type)|~ilf_type(X68,set_type))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p4])])])])])). 1.06/1.30 fof(c_0_18, plain, ![X15, X16, X17, X18]:(~ilf_type(X15,set_type)|(~ilf_type(X16,set_type)|(~ilf_type(X17,set_type)|(~ilf_type(X18,set_type)|(~subset(X15,X16)|~subset(X17,X18)|subset(cross_product(X15,X17),cross_product(X16,X18))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p3])])])])). 1.06/1.30 cnf(c_0_19, plain, (subset(range_of(X1),X2)|~ilf_type(X1,relation_type(X3,X2))|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)), inference(split_conjunct,[status(thm)],[c_0_14])). 1.06/1.30 cnf(c_0_20, plain, (ilf_type(X1,set_type)), inference(split_conjunct,[status(thm)],[c_0_15])). 1.06/1.30 fof(c_0_21, negated_conjecture, (ilf_type(esk12_0,set_type)&(ilf_type(esk13_0,set_type)&(ilf_type(esk14_0,set_type)&(ilf_type(esk15_0,relation_type(esk12_0,esk14_0))&(subset(domain_of(esk15_0),esk13_0)&~ilf_type(esk15_0,relation_type(esk13_0,esk14_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16])])])])). 1.06/1.30 fof(c_0_22, plain, ![X25]:(((relation_like(X25)|~ilf_type(X25,binary_relation_type)|~ilf_type(X25,set_type))&(ilf_type(X25,set_type)|~ilf_type(X25,binary_relation_type)|~ilf_type(X25,set_type)))&(~relation_like(X25)|~ilf_type(X25,set_type)|ilf_type(X25,binary_relation_type)|~ilf_type(X25,set_type))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p13])])])). 1.06/1.30 fof(c_0_23, plain, ![X51, X52, X53]:(~ilf_type(X51,set_type)|(~ilf_type(X52,set_type)|(~ilf_type(X53,subset_type(cross_product(X51,X52)))|relation_like(X53)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p23])])])). 1.06/1.30 cnf(c_0_24, plain, (ilf_type(X1,subset_type(cross_product(X2,X3)))|~ilf_type(X1,relation_type(X2,X3))|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)), inference(split_conjunct,[status(thm)],[c_0_17])). 1.06/1.30 cnf(c_0_25, plain, (subset(cross_product(X1,X3),cross_product(X2,X4))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~subset(X1,X2)|~subset(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_18])). 1.06/1.30 cnf(c_0_26, plain, (subset(range_of(X1),X2)|~ilf_type(X1,relation_type(X3,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_27, negated_conjecture, (ilf_type(esk15_0,relation_type(esk12_0,esk14_0))), inference(split_conjunct,[status(thm)],[c_0_21])). 1.06/1.30 cnf(c_0_28, plain, (ilf_type(X1,binary_relation_type)|~relation_like(X1)|~ilf_type(X1,set_type)|~ilf_type(X1,set_type)), inference(split_conjunct,[status(thm)],[c_0_22])). 1.06/1.30 cnf(c_0_29, plain, (relation_like(X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_23])). 1.06/1.30 cnf(c_0_30, plain, (ilf_type(X1,subset_type(cross_product(X2,X3)))|~ilf_type(X1,relation_type(X2,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_20]), c_0_20])])). 1.06/1.30 fof(c_0_31, plain, ![X31, X32, X33]:(~ilf_type(X31,set_type)|(~ilf_type(X32,set_type)|(~ilf_type(X33,set_type)|(~subset(X31,X32)|~subset(X32,X33)|subset(X31,X33))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p1])])])])). 1.06/1.30 cnf(c_0_32, plain, (subset(cross_product(X1,X2),cross_product(X3,X4))|~subset(X2,X4)|~subset(X1,X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_20]), c_0_20]), c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_33, negated_conjecture, (subset(range_of(esk15_0),esk14_0)), inference(spm,[status(thm)],[c_0_26, c_0_27])). 1.06/1.30 cnf(c_0_34, plain, (ilf_type(X1,binary_relation_type)|~relation_like(X1)|~ilf_type(X1,set_type)), inference(cn,[status(thm)],[c_0_28])). 1.06/1.30 cnf(c_0_35, plain, (relation_like(X1)|~ilf_type(X1,subset_type(cross_product(X2,X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_36, negated_conjecture, (ilf_type(esk15_0,subset_type(cross_product(esk12_0,esk14_0)))), inference(spm,[status(thm)],[c_0_30, c_0_27])). 1.06/1.30 cnf(c_0_37, plain, (subset(X1,X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~subset(X1,X2)|~subset(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_31])). 1.06/1.30 cnf(c_0_38, negated_conjecture, (subset(cross_product(X1,range_of(esk15_0)),cross_product(X2,esk14_0))|~subset(X1,X2)), inference(spm,[status(thm)],[c_0_32, c_0_33])). 1.06/1.30 cnf(c_0_39, negated_conjecture, (subset(domain_of(esk15_0),esk13_0)), inference(split_conjunct,[status(thm)],[c_0_21])). 1.06/1.30 fof(c_0_40, plain, ![X56]:(~ilf_type(X56,binary_relation_type)|subset(X56,cross_product(domain_of(X56),range_of(X56)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p2])])])). 1.06/1.30 cnf(c_0_41, plain, (ilf_type(X1,binary_relation_type)|~relation_like(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_20])])). 1.06/1.30 cnf(c_0_42, negated_conjecture, (relation_like(esk15_0)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 1.06/1.30 fof(c_0_43, plain, ![X10, X11, X13]:(((ilf_type(esk2_2(X10,X11),set_type)|subset(X10,X11)|~ilf_type(X11,set_type)|~ilf_type(X10,set_type))&((member(esk2_2(X10,X11),X10)|subset(X10,X11)|~ilf_type(X11,set_type)|~ilf_type(X10,set_type))&(~member(esk2_2(X10,X11),X11)|subset(X10,X11)|~ilf_type(X11,set_type)|~ilf_type(X10,set_type))))&(~subset(X10,X11)|(~ilf_type(X13,set_type)|(~member(X13,X10)|member(X13,X11)))|~ilf_type(X11,set_type)|~ilf_type(X10,set_type))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p9])])])])])])). 1.06/1.30 cnf(c_0_44, plain, (subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_20]), c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_45, negated_conjecture, (subset(cross_product(domain_of(esk15_0),range_of(esk15_0)),cross_product(esk13_0,esk14_0))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 1.06/1.30 cnf(c_0_46, plain, (subset(X1,cross_product(domain_of(X1),range_of(X1)))|~ilf_type(X1,binary_relation_type)), inference(split_conjunct,[status(thm)],[c_0_40])). 1.06/1.30 cnf(c_0_47, negated_conjecture, (ilf_type(esk15_0,binary_relation_type)), inference(spm,[status(thm)],[c_0_41, c_0_42])). 1.06/1.30 cnf(c_0_48, plain, (member(X3,X2)|~subset(X1,X2)|~ilf_type(X3,set_type)|~member(X3,X1)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)), inference(split_conjunct,[status(thm)],[c_0_43])). 1.06/1.30 cnf(c_0_49, negated_conjecture, (subset(X1,cross_product(esk13_0,esk14_0))|~subset(X1,cross_product(domain_of(esk15_0),range_of(esk15_0)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 1.06/1.30 cnf(c_0_50, negated_conjecture, (subset(esk15_0,cross_product(domain_of(esk15_0),range_of(esk15_0)))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 1.06/1.30 fof(c_0_51, plain, ![X60, X61, X63]:(((ilf_type(esk11_2(X60,X61),set_type)|member(X60,power_set(X61))|~ilf_type(X61,set_type)|~ilf_type(X60,set_type))&((member(esk11_2(X60,X61),X60)|member(X60,power_set(X61))|~ilf_type(X61,set_type)|~ilf_type(X60,set_type))&(~member(esk11_2(X60,X61),X61)|member(X60,power_set(X61))|~ilf_type(X61,set_type)|~ilf_type(X60,set_type))))&(~member(X60,power_set(X61))|(~ilf_type(X63,set_type)|(~member(X63,X60)|member(X63,X61)))|~ilf_type(X61,set_type)|~ilf_type(X60,set_type))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p18])])])])])])). 1.06/1.30 fof(c_0_52, plain, ![X22, X24]:(((ilf_type(esk3_1(X22),set_type)|empty(X22)|~ilf_type(X22,set_type))&(member(esk3_1(X22),X22)|empty(X22)|~ilf_type(X22,set_type)))&(~empty(X22)|(~ilf_type(X24,set_type)|~member(X24,X22))|~ilf_type(X22,set_type))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p24])])])])])])). 1.06/1.30 cnf(c_0_53, plain, (member(X1,X2)|~member(X1,X3)|~subset(X3,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_20]), c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_54, negated_conjecture, (subset(esk15_0,cross_product(esk13_0,esk14_0))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 1.06/1.30 cnf(c_0_55, plain, (member(esk11_2(X1,X2),X1)|member(X1,power_set(X2))|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)), inference(split_conjunct,[status(thm)],[c_0_51])). 1.06/1.30 fof(c_0_56, plain, ![X20, X21]:((~member(X20,X21)|ilf_type(X20,member_type(X21))|(~ilf_type(X21,set_type)|empty(X21))|~ilf_type(X20,set_type))&(~ilf_type(X20,member_type(X21))|member(X20,X21)|(~ilf_type(X21,set_type)|empty(X21))|~ilf_type(X20,set_type))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[p20])])])])])). 1.06/1.30 cnf(c_0_57, plain, (~empty(X1)|~ilf_type(X2,set_type)|~member(X2,X1)|~ilf_type(X1,set_type)), inference(split_conjunct,[status(thm)],[c_0_52])). 1.06/1.30 cnf(c_0_58, plain, (member(X1,power_set(X2))|~member(esk11_2(X1,X2),X2)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)), inference(split_conjunct,[status(thm)],[c_0_51])). 1.06/1.30 cnf(c_0_59, negated_conjecture, (member(X1,cross_product(esk13_0,esk14_0))|~member(X1,esk15_0)), inference(spm,[status(thm)],[c_0_53, c_0_54])). 1.06/1.30 cnf(c_0_60, plain, (member(esk11_2(X1,X2),X1)|member(X1,power_set(X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_20]), c_0_20])])). 1.06/1.30 fof(c_0_61, plain, ![X54, X55]:((~ilf_type(X55,subset_type(X54))|ilf_type(X55,member_type(power_set(X54)))|~ilf_type(X55,set_type)|~ilf_type(X54,set_type))&(~ilf_type(X55,member_type(power_set(X54)))|ilf_type(X55,subset_type(X54))|~ilf_type(X55,set_type)|~ilf_type(X54,set_type))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])])])). 1.06/1.30 cnf(c_0_62, plain, (ilf_type(X1,member_type(X2))|empty(X2)|~member(X1,X2)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)), inference(split_conjunct,[status(thm)],[c_0_56])). 1.06/1.30 cnf(c_0_63, plain, (~empty(X1)|~member(X2,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_64, plain, (member(X1,power_set(X2))|~member(esk11_2(X1,X2),X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_65, negated_conjecture, (member(esk11_2(esk15_0,X1),cross_product(esk13_0,esk14_0))|member(esk15_0,power_set(X1))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 1.06/1.30 cnf(c_0_66, plain, (ilf_type(X1,subset_type(X2))|~ilf_type(X1,member_type(power_set(X2)))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)), inference(split_conjunct,[status(thm)],[c_0_61])). 1.06/1.30 cnf(c_0_67, plain, (ilf_type(X1,member_type(X2))|~member(X1,X2)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_20]), c_0_20])]), c_0_63])). 1.06/1.30 cnf(c_0_68, negated_conjecture, (member(esk15_0,power_set(cross_product(esk13_0,esk14_0)))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 1.06/1.30 cnf(c_0_69, plain, (ilf_type(X1,relation_type(X2,X3))|~ilf_type(X1,subset_type(cross_product(X2,X3)))|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)), inference(split_conjunct,[status(thm)],[c_0_17])). 1.06/1.30 cnf(c_0_70, plain, (ilf_type(X1,subset_type(X2))|~ilf_type(X1,member_type(power_set(X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_71, negated_conjecture, (ilf_type(esk15_0,member_type(power_set(cross_product(esk13_0,esk14_0))))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 1.06/1.30 cnf(c_0_72, plain, (ilf_type(X1,relation_type(X2,X3))|~ilf_type(X1,subset_type(cross_product(X2,X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_20]), c_0_20])])). 1.06/1.30 cnf(c_0_73, negated_conjecture, (ilf_type(esk15_0,subset_type(cross_product(esk13_0,esk14_0)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 1.06/1.30 cnf(c_0_74, negated_conjecture, (~ilf_type(esk15_0,relation_type(esk13_0,esk14_0))), inference(split_conjunct,[status(thm)],[c_0_21])). 1.06/1.30 cnf(c_0_75, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74]), ['proof']). 1.06/1.30 # SZS output end CNFRefutation 1.06/1.30 # Proof object total steps : 76 1.06/1.30 # Proof object clause steps : 47 1.06/1.30 # Proof object formula steps : 29 1.06/1.30 # Proof object conjectures : 21 1.06/1.30 # Proof object clause conjectures : 18 1.06/1.30 # Proof object formula conjectures : 3 1.06/1.30 # Proof object initial clauses used : 18 1.06/1.30 # Proof object initial formulas used : 14 1.06/1.30 # Proof object generating inferences : 15 1.06/1.30 # Proof object simplifying inferences : 45 1.06/1.30 # Training examples: 0 positive, 0 negative 1.06/1.30 # Parsed axioms : 27 1.06/1.30 # Removed by relevancy pruning/SinE : 0 1.06/1.30 # Initial clauses : 54 1.06/1.30 # Removed in clause preprocessing : 1 1.06/1.30 # Initial clauses in saturation : 53 1.06/1.30 # Processed clauses : 7207 1.06/1.30 # ...of these trivial : 111 1.06/1.30 # ...subsumed : 5096 1.06/1.30 # ...remaining for further processing : 2000 1.06/1.30 # Other redundant clauses eliminated : 0 1.06/1.30 # Clauses deleted for lack of memory : 0 1.06/1.30 # Backward-subsumed : 9 1.06/1.30 # Backward-rewritten : 3 1.06/1.30 # Generated clauses : 74713 1.06/1.30 # ...of the previous two non-trivial : 74151 1.06/1.30 # Contextual simplify-reflections : 4 1.06/1.30 # Paramodulations : 74713 1.06/1.30 # Factorizations : 0 1.06/1.30 # Equation resolutions : 0 1.06/1.30 # Propositional unsat checks : 0 1.06/1.30 # Propositional check models : 0 1.06/1.30 # Propositional check unsatisfiable : 0 1.06/1.30 # Propositional clauses : 0 1.06/1.30 # Propositional clauses after purity: 0 1.06/1.30 # Propositional unsat core size : 0 1.06/1.30 # Propositional preprocessing time : 0.000 1.06/1.30 # Propositional encoding time : 0.000 1.06/1.30 # Propositional solver time : 0.000 1.06/1.30 # Success case prop preproc time : 0.000 1.06/1.30 # Success case prop encoding time : 0.000 1.06/1.30 # Success case prop solver time : 0.000 1.06/1.30 # Current number of processed clauses : 1950 1.06/1.30 # Positive orientable unit clauses : 579 1.06/1.30 # Positive unorientable unit clauses: 0 1.06/1.30 # Negative unit clauses : 8 1.06/1.30 # Non-unit-clauses : 1363 1.06/1.30 # Current number of unprocessed clauses: 67029 1.06/1.30 # ...number of literals in the above : 121870 1.06/1.30 # Current number of archived formulas : 0 1.06/1.30 # Current number of archived clauses : 50 1.06/1.30 # Clause-clause subsumption calls (NU) : 176522 1.06/1.30 # Rec. Clause-clause subsumption calls : 143175 1.06/1.30 # Non-unit clause-clause subsumptions : 4998 1.06/1.30 # Unit Clause-clause subsumption calls : 7054 1.06/1.30 # Rewrite failures with RHS unbound : 0 1.06/1.30 # BW rewrite match attempts : 1982 1.06/1.30 # BW rewrite match successes : 3 1.06/1.30 # Condensation attempts : 0 1.06/1.30 # Condensation successes : 0 1.06/1.30 # Termbank termtop insertions : 1133292 1.06/1.30 1.06/1.30 # ------------------------------------------------- 1.06/1.30 # User time : 0.944 s 1.06/1.30 # System time : 0.049 s 1.06/1.30 # Total time : 0.994 s 1.06/1.30 # Maximum resident set size: 1604 pages 1.06/1.30 EOF