# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t44_group_2, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>k1_group_1(X2)=k1_group_1(X1))), file('group_24/group_24__t74_group_24', t44_group_2)).
fof(t74_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>(v7_struct_0(X2)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_struct_0(X2,X3)<=>X3=k1_group_1(X1)))))), file('group_24/group_24__t74_group_24', t74_group_24)).
fof(dt_m1_group_2, axiom, ![X1]:(((~(v2_struct_0(X1))&v2_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((~(v2_struct_0(X2))&v2_group_1(X2))&l3_algstr_0(X2)))), file('group_24/group_24__t74_group_24', dt_m1_group_2)).
fof(d2_group_6, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>(v7_struct_0(X1)<=>?[X2]:u1_struct_0(X1)=k1_tarski(X2))), file('group_24/group_24__t74_group_24', d2_group_6)).
fof(dt_k1_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>m1_subset_1(k1_group_1(X1),u1_struct_0(X1))), file('group_24/group_24__t74_group_24', dt_k1_group_1)).
fof(fc16_card_1, axiom, ![X1]:v3_card_1(k1_tarski(X1),np__1), file('group_24/group_24__t74_group_24', fc16_card_1)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('group_24/group_24__t74_group_24', dt_l3_algstr_0)).
fof(d1_tarski, axiom, ![X1, X2]:(X2=k1_tarski(X1)<=>![X3]:(r2_hidden(X3,X2)<=>X3=X1)), file('group_24/group_24__t74_group_24', d1_tarski)).
fof(cc9_card_1, axiom, ![X1]:(v3_card_1(X1,np__1)=>(~(v1_xboole_0(X1))&v1_zfmisc_1(X1))), file('group_24/group_24__t74_group_24', cc9_card_1)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('group_24/group_24__t74_group_24', t2_subset)).
fof(t40_group_2, axiom, ![X1, X2]:(((~(v2_struct_0(X2))&v2_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_group_2(X3,X2)=>(r1_struct_0(X3,X1)=>r1_struct_0(X2,X1)))), file('group_24/group_24__t74_group_24', t40_group_2)).
fof(d5_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(r1_struct_0(X1,X2)<=>r2_hidden(X2,u1_struct_0(X1)))), file('group_24/group_24__t74_group_24', d5_struct_0)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('group_24/group_24__t74_group_24', redefinition_r2_tarski)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('group_24/group_24__t74_group_24', t1_subset)).
fof(c_0_14, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>k1_group_1(X2)=k1_group_1(X1))), inference(fof_simplification,[status(thm)],[t44_group_2])).
fof(c_0_15, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>(v7_struct_0(X2)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r1_struct_0(X2,X3)<=>X3=k1_group_1(X1))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t74_group_24])])).
fof(c_0_16, plain, ![X1]:(((~v2_struct_0(X1)&v2_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((~v2_struct_0(X2)&v2_group_1(X2))&l3_algstr_0(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_group_2])).
fof(c_0_17, plain, ![X62, X63]:(v2_struct_0(X62)|~v2_group_1(X62)|~v3_group_1(X62)|~l3_algstr_0(X62)|(~m1_group_2(X63,X62)|k1_group_1(X63)=k1_group_1(X62))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_18, negated_conjecture, ![X34]:((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&(m1_group_2(esk2_0,esk1_0)&(((m1_subset_1(esk3_0,u1_struct_0(esk1_0))|~v7_struct_0(esk2_0))&((~r1_struct_0(esk2_0,esk3_0)|esk3_0!=k1_group_1(esk1_0)|~v7_struct_0(esk2_0))&(r1_struct_0(esk2_0,esk3_0)|esk3_0=k1_group_1(esk1_0)|~v7_struct_0(esk2_0))))&((~r1_struct_0(esk2_0,X34)|X34=k1_group_1(esk1_0)|~m1_subset_1(X34,u1_struct_0(esk1_0))|v7_struct_0(esk2_0))&(X34!=k1_group_1(esk1_0)|r1_struct_0(esk2_0,X34)|~m1_subset_1(X34,u1_struct_0(esk1_0))|v7_struct_0(esk2_0)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])).
fof(c_0_19, plain, ![X50, X51]:(((~v2_struct_0(X51)|~m1_group_2(X51,X50)|(v2_struct_0(X50)|~v2_group_1(X50)|~l3_algstr_0(X50)))&(v2_group_1(X51)|~m1_group_2(X51,X50)|(v2_struct_0(X50)|~v2_group_1(X50)|~l3_algstr_0(X50))))&(l3_algstr_0(X51)|~m1_group_2(X51,X50)|(v2_struct_0(X50)|~v2_group_1(X50)|~l3_algstr_0(X50)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])).
fof(c_0_20, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>(v7_struct_0(X1)<=>?[X2]:u1_struct_0(X1)=k1_tarski(X2))), inference(fof_simplification,[status(thm)],[d2_group_6])).
fof(c_0_21, plain, ![X48]:(~l3_algstr_0(X48)|m1_subset_1(k1_group_1(X48),u1_struct_0(X48))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_group_1])])).
cnf(c_0_22, plain, (v2_struct_0(X1)|k1_group_1(X2)=k1_group_1(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_23, negated_conjecture, (m1_group_2(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, plain, (l3_algstr_0(X1)|v2_struct_0(X2)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_29, plain, ![X52]:v3_card_1(k1_tarski(X52),np__1), inference(variable_rename,[status(thm)],[fc16_card_1])).
fof(c_0_30, plain, ![X43, X45]:((~v7_struct_0(X43)|u1_struct_0(X43)=k1_tarski(esk5_1(X43))|(v2_struct_0(X43)|~l1_struct_0(X43)))&(u1_struct_0(X43)!=k1_tarski(X45)|v7_struct_0(X43)|(v2_struct_0(X43)|~l1_struct_0(X43)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])])).
fof(c_0_31, plain, ![X49]:(~l3_algstr_0(X49)|l1_struct_0(X49)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
fof(c_0_32, plain, ![X36, X37, X38, X39, X40, X41]:(((~r2_hidden(X38,X37)|X38=X36|X37!=k1_tarski(X36))&(X39!=X36|r2_hidden(X39,X37)|X37!=k1_tarski(X36)))&((~r2_hidden(esk4_2(X40,X41),X41)|esk4_2(X40,X41)!=X40|X41=k1_tarski(X40))&(r2_hidden(esk4_2(X40,X41),X41)|esk4_2(X40,X41)=X40|X41=k1_tarski(X40)))), 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)],[d1_tarski])])])])])])).
fof(c_0_33, plain, ![X1]:(v3_card_1(X1,np__1)=>(~v1_xboole_0(X1)&v1_zfmisc_1(X1))), inference(fof_simplification,[status(thm)],[cc9_card_1])).
fof(c_0_34, plain, ![X57, X58]:(~m1_subset_1(X57,X58)|(v1_xboole_0(X58)|r2_tarski(X57,X58))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_35, plain, (m1_subset_1(k1_group_1(X1),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_36, negated_conjecture, (k1_group_1(esk2_0)=k1_group_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_25]), c_0_26])]), c_0_27])).
cnf(c_0_37, negated_conjecture, (l3_algstr_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_23]), c_0_24]), c_0_26])]), c_0_27])).
cnf(c_0_38, plain, (v3_card_1(k1_tarski(X1),np__1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_39, plain, (u1_struct_0(X1)=k1_tarski(esk5_1(X1))|v2_struct_0(X1)|~v7_struct_0(X1)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_40, negated_conjecture, (r1_struct_0(esk2_0,X1)|v7_struct_0(esk2_0)|X1!=k1_group_1(esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_41, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_42, plain, (v2_struct_0(X2)|~v2_struct_0(X1)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_43, plain, ![X1, X2]:(((~v2_struct_0(X2)&v2_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_group_2(X3,X2)=>(r1_struct_0(X3,X1)=>r1_struct_0(X2,X1)))), inference(fof_simplification,[status(thm)],[t40_group_2])).
cnf(c_0_44, plain, (X1=X3|~r2_hidden(X1,X2)|X2!=k1_tarski(X3)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_45, plain, ![X46, X47]:((~r1_struct_0(X46,X47)|r2_hidden(X47,u1_struct_0(X46))|~l1_struct_0(X46))&(~r2_hidden(X47,u1_struct_0(X46))|r1_struct_0(X46,X47)|~l1_struct_0(X46))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_struct_0])])])])).
fof(c_0_46, plain, ![X35]:((~v1_xboole_0(X35)|~v3_card_1(X35,np__1))&(v1_zfmisc_1(X35)|~v3_card_1(X35,np__1))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
cnf(c_0_47, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_48, negated_conjecture, (m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])])).
cnf(c_0_49, plain, (v3_card_1(u1_struct_0(X1),np__1)|v2_struct_0(X1)|~l1_struct_0(X1)|~v7_struct_0(X1)), inference(spm,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_50, negated_conjecture, (r1_struct_0(esk2_0,k1_group_1(esk1_0))|v7_struct_0(esk2_0)|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))), inference(er,[status(thm)],[c_0_40])).
cnf(c_0_51, negated_conjecture, (l1_struct_0(esk2_0)), inference(spm,[status(thm)],[c_0_41, c_0_37])).
cnf(c_0_52, negated_conjecture, (~v2_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_23]), c_0_24]), c_0_26])]), c_0_27])).
fof(c_0_53, plain, ![X59, X60, X61]:(v2_struct_0(X60)|~v2_group_1(X60)|~l3_algstr_0(X60)|(~m1_group_2(X61,X60)|(~r1_struct_0(X61,X59)|r1_struct_0(X60,X59)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])).
cnf(c_0_54, plain, (X1=X2|~r2_hidden(X1,k1_tarski(X2))), inference(er,[status(thm)],[c_0_44])).
cnf(c_0_55, plain, (r2_hidden(X2,u1_struct_0(X1))|~r1_struct_0(X1,X2)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_56, negated_conjecture, (r1_struct_0(esk2_0,esk3_0)|esk3_0=k1_group_1(esk1_0)|~v7_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_57, plain, (~v1_xboole_0(X1)|~v3_card_1(X1,np__1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_58, negated_conjecture, (r2_tarski(k1_group_1(esk1_0),u1_struct_0(esk2_0))|v1_xboole_0(u1_struct_0(esk2_0))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_59, negated_conjecture, (v3_card_1(u1_struct_0(esk2_0),np__1)|r1_struct_0(esk2_0,k1_group_1(esk1_0))|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])]), c_0_52])).
fof(c_0_60, plain, ![X53, X54]:((~r2_tarski(X53,X54)|r2_hidden(X53,X54))&(~r2_hidden(X53,X54)|r2_tarski(X53,X54))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_61, plain, ![X55, X56]:(~r2_tarski(X55,X56)|m1_subset_1(X55,X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_62, plain, (v2_struct_0(X1)|r1_struct_0(X1,X3)|~v2_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~r1_struct_0(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_63, plain, (X1=esk5_1(X2)|v2_struct_0(X2)|~l1_struct_0(X2)|~r2_hidden(X1,u1_struct_0(X2))|~v7_struct_0(X2)), inference(spm,[status(thm)],[c_0_54, c_0_39])).
cnf(c_0_64, negated_conjecture, (esk3_0=k1_group_1(esk1_0)|r2_hidden(esk3_0,u1_struct_0(esk2_0))|~v7_struct_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_51])])).
cnf(c_0_65, negated_conjecture, (r2_tarski(k1_group_1(esk1_0),u1_struct_0(esk2_0))|~v3_card_1(u1_struct_0(esk2_0),np__1)), inference(spm,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_66, negated_conjecture, (r2_hidden(k1_group_1(esk1_0),u1_struct_0(esk2_0))|v3_card_1(u1_struct_0(esk2_0),np__1)|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_59]), c_0_51])])).
cnf(c_0_67, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_68, negated_conjecture, (X1=k1_group_1(esk1_0)|v7_struct_0(esk2_0)|~r1_struct_0(esk2_0,X1)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_69, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_70, negated_conjecture, (r1_struct_0(esk1_0,X1)|~r1_struct_0(esk2_0,X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_23]), c_0_24]), c_0_26])]), c_0_27])).
cnf(c_0_71, plain, (r1_struct_0(X2,X1)|~r2_hidden(X1,u1_struct_0(X2))|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_72, negated_conjecture, (~r1_struct_0(esk2_0,esk3_0)|esk3_0!=k1_group_1(esk1_0)|~v7_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_73, negated_conjecture, (esk3_0=k1_group_1(esk1_0)|esk3_0=esk5_1(esk2_0)|~v7_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_51])]), c_0_52])).
cnf(c_0_74, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_75, negated_conjecture, (r2_tarski(k1_group_1(esk1_0),u1_struct_0(esk2_0))|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_67])).
cnf(c_0_76, negated_conjecture, (X1=k1_group_1(esk1_0)|v7_struct_0(esk2_0)|~r2_tarski(X1,u1_struct_0(esk1_0))|~r1_struct_0(esk2_0,X1)), inference(spm,[status(thm)],[c_0_68, c_0_69])).
cnf(c_0_77, negated_conjecture, (r1_struct_0(esk1_0,X1)|~r2_hidden(X1,u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_51])])).
cnf(c_0_78, plain, (r2_hidden(esk4_2(X1,X2),X2)|esk4_2(X1,X2)=X1|X2=k1_tarski(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_79, negated_conjecture, (esk3_0!=k1_group_1(esk1_0)|~r2_hidden(esk3_0,u1_struct_0(esk2_0))|~v7_struct_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_71]), c_0_51])])).
cnf(c_0_80, negated_conjecture, (esk3_0=k1_group_1(esk1_0)|esk5_1(esk2_0)!=k1_group_1(esk1_0)|~v7_struct_0(esk2_0)), inference(ef,[status(thm)],[c_0_73])).
cnf(c_0_81, negated_conjecture, (r2_hidden(k1_group_1(esk1_0),u1_struct_0(esk2_0))|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_74, c_0_75])).
cnf(c_0_82, plain, (r2_tarski(k1_group_1(X1),u1_struct_0(X1))|v1_xboole_0(u1_struct_0(X1))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_47, c_0_35])).
cnf(c_0_83, negated_conjecture, (X1=k1_group_1(esk1_0)|v7_struct_0(esk2_0)|~r2_tarski(X1,u1_struct_0(esk1_0))|~r2_hidden(X1,u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_71]), c_0_51])])).
cnf(c_0_84, negated_conjecture, (esk4_2(X1,u1_struct_0(esk2_0))=X1|u1_struct_0(esk2_0)=k1_tarski(X1)|r1_struct_0(esk1_0,esk4_2(X1,u1_struct_0(esk2_0)))), inference(spm,[status(thm)],[c_0_77, c_0_78])).
cnf(c_0_85, negated_conjecture, (l1_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_41, c_0_24])).
cnf(c_0_86, negated_conjecture, (esk5_1(esk2_0)!=k1_group_1(esk1_0)|~r2_hidden(k1_group_1(esk1_0),u1_struct_0(esk2_0))|~v7_struct_0(esk2_0)), inference(spm,[status(thm)],[c_0_79, c_0_80])).
cnf(c_0_87, negated_conjecture, (esk5_1(esk2_0)=k1_group_1(esk1_0)|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))|~v7_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_81]), c_0_51])]), c_0_52])).
cnf(c_0_88, plain, (r2_hidden(k1_group_1(X1),u1_struct_0(X1))|v1_xboole_0(u1_struct_0(X1))|~l3_algstr_0(X1)), inference(spm,[status(thm)],[c_0_74, c_0_82])).
cnf(c_0_89, negated_conjecture, (X1=k1_group_1(esk1_0)|v7_struct_0(esk2_0)|~r2_hidden(X1,u1_struct_0(esk2_0))|~r2_hidden(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_83, c_0_67])).
cnf(c_0_90, negated_conjecture, (esk4_2(X1,u1_struct_0(esk2_0))=X1|u1_struct_0(esk2_0)=k1_tarski(X1)|r2_hidden(esk4_2(X1,u1_struct_0(esk2_0)),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_84]), c_0_85])])).
cnf(c_0_91, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))|~v7_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_92, negated_conjecture, (esk3_0=k1_group_1(esk1_0)|r1_struct_0(esk2_0,esk5_1(esk2_0))|~v7_struct_0(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_73]), c_0_80])).
cnf(c_0_93, negated_conjecture, (~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))|~v7_struct_0(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_81])).
cnf(c_0_94, negated_conjecture, (esk5_1(esk2_0)!=k1_group_1(esk1_0)|~r1_struct_0(esk2_0,k1_group_1(esk1_0))|~v7_struct_0(esk2_0)), inference(spm,[status(thm)],[c_0_72, c_0_80])).
cnf(c_0_95, plain, (esk5_1(X1)=k1_group_1(X1)|v1_xboole_0(u1_struct_0(X1))|v2_struct_0(X1)|~v7_struct_0(X1)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_88]), c_0_41])).
cnf(c_0_96, negated_conjecture, (esk4_2(X1,u1_struct_0(esk2_0))=k1_group_1(esk1_0)|esk4_2(X1,u1_struct_0(esk2_0))=X1|u1_struct_0(esk2_0)=k1_tarski(X1)|v7_struct_0(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_78]), c_0_90])).
cnf(c_0_97, negated_conjecture, (r1_struct_0(esk2_0,esk5_1(esk2_0))|~v7_struct_0(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93])).
cnf(c_0_98, negated_conjecture, (v1_xboole_0(u1_struct_0(esk2_0))|~r1_struct_0(esk2_0,k1_group_1(esk1_0))|~v7_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_36]), c_0_37])]), c_0_52])).
cnf(c_0_99, plain, (X2=k1_tarski(X1)|~r2_hidden(esk4_2(X1,X2),X2)|esk4_2(X1,X2)!=X1), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_100, negated_conjecture, (esk4_2(k1_group_1(esk1_0),u1_struct_0(esk2_0))=k1_group_1(esk1_0)|u1_struct_0(esk2_0)=k1_tarski(k1_group_1(esk1_0))|v7_struct_0(esk2_0)), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_96])])).
cnf(c_0_101, negated_conjecture, (v1_xboole_0(u1_struct_0(esk2_0))|~v7_struct_0(esk2_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_95]), c_0_36]), c_0_37])]), c_0_52]), c_0_98])).
cnf(c_0_102, negated_conjecture, (u1_struct_0(esk2_0)=k1_tarski(k1_group_1(esk1_0))|v7_struct_0(esk2_0)|~r2_hidden(k1_group_1(esk1_0),u1_struct_0(esk2_0))), inference(spm,[status(thm)],[c_0_99, c_0_100])).
cnf(c_0_103, negated_conjecture, (r2_hidden(k1_group_1(esk1_0),u1_struct_0(esk2_0))|v1_xboole_0(u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_36]), c_0_37])])).
cnf(c_0_104, negated_conjecture, (u1_struct_0(esk2_0)=k1_tarski(k1_group_1(esk1_0))|v1_xboole_0(u1_struct_0(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_103])).
cnf(c_0_105, negated_conjecture, (u1_struct_0(esk2_0)=k1_tarski(k1_group_1(esk1_0))|~v3_card_1(u1_struct_0(esk2_0),np__1)), inference(spm,[status(thm)],[c_0_57, c_0_104])).
cnf(c_0_106, negated_conjecture, (u1_struct_0(esk2_0)=k1_tarski(k1_group_1(esk1_0))|v3_card_1(u1_struct_0(esk2_0),np__1)|~r2_hidden(k1_group_1(esk1_0),u1_struct_0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_102]), c_0_51])]), c_0_52])).
cnf(c_0_107, negated_conjecture, (u1_struct_0(esk2_0)=k1_tarski(k1_group_1(esk1_0))|~r2_hidden(k1_group_1(esk1_0),u1_struct_0(esk2_0))), inference(spm,[status(thm)],[c_0_105, c_0_106])).
cnf(c_0_108, plain, (v7_struct_0(X1)|v2_struct_0(X1)|u1_struct_0(X1)!=k1_tarski(X2)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_109, negated_conjecture, (u1_struct_0(esk2_0)=k1_tarski(k1_group_1(esk1_0))|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_107, c_0_81])).
cnf(c_0_110, negated_conjecture, (k1_tarski(X1)!=k1_tarski(k1_group_1(esk1_0))|~m1_subset_1(k1_group_1(esk1_0),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_51])]), c_0_52]), c_0_93])).
cnf(c_0_111, negated_conjecture, (k1_tarski(X1)!=k1_tarski(k1_group_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_35]), c_0_24])])).
cnf(c_0_112, negated_conjecture, ($false), inference(er,[status(thm)],[c_0_111]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 113
# Proof object clause steps            : 79
# Proof object formula steps           : 34
# Proof object conjectures             : 57
# Proof object clause conjectures      : 54
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 29
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 48
# Proof object simplifying inferences  : 70
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 32
# Processed clauses                    : 217
# ...of these trivial                  : 1
# ...subsumed                          : 41
# ...remaining for further processing  : 175
# Other redundant clauses eliminated   : 12
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 25
# Backward-rewritten                   : 3
# Generated clauses                    : 318
# ...of the previous two non-trivial   : 248
# Contextual simplify-reflections      : 13
# Paramodulations                      : 299
# Factorizations                       : 6
# NegExts                              : 0
# Equation resolutions                 : 14
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 112
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 94
# Current number of unprocessed clauses: 78
# ...number of literals in the above   : 342
# Current number of archived formulas  : 0
# Current number of archived clauses   : 60
# Clause-clause subsumption calls (NU) : 2607
# Rec. Clause-clause subsumption calls : 1357
# Non-unit clause-clause subsumptions  : 79
# Unit Clause-clause subsumption calls : 64
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 7680

# -------------------------------------------------
# User time                : 0.027 s
# System time              : 0.004 s
# Total time               : 0.031 s
# Maximum resident set size: 3536 pages
