# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k1_group_7, axiom, ![X1, X2, X3]:(((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&m1_subset_1(X3,X1))=>k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)), file('gr_free0/gr_free0__t63_gr_free0', redefinition_k1_group_7)).
fof(t63_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>(X4!=k1_group_1(k2_group_19(X1,X3,X2))=>k7_gr_free0(X1,X3,k5_gr_free0(X1,X3,X2,X4))=k9_finseq_1(k4_tarski(X2,X4))))))), file('gr_free0/gr_free0__t63_gr_free0', t63_gr_free0)).
fof(t8_gr_free0, axiom, ![X1, X2]:(~(v1_xboole_0(X2))=>![X3]:(m1_subset_1(X3,X2)=>![X4]:(((((v1_relat_1(X4)&v4_relat_1(X4,X2))&v1_funct_1(X4))&v1_partfun1(X4,X2))&v1_group_7(X4))=>(r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X4))<=>r2_hidden(X1,u1_struct_0(k1_group_7(X2,X4,X3))))))), file('gr_free0/gr_free0__t63_gr_free0', t8_gr_free0)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('gr_free0/gr_free0__t63_gr_free0', t1_subset)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t63_gr_free0', redefinition_r2_tarski)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('gr_free0/gr_free0__t63_gr_free0', t2_subset)).
fof(redefinition_k2_group_19, axiom, ![X1, X2, X3]:(((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>k2_group_19(X1,X2,X3)=k1_funct_1(X2,X3)), file('gr_free0/gr_free0__t63_gr_free0', redefinition_k2_group_19)).
fof(redefinition_k12_finseq_1, axiom, ![X1, X2]:((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))=>k12_finseq_1(X1,X2)=k5_finseq_1(X2)), file('gr_free0/gr_free0__t63_gr_free0', redefinition_k12_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('gr_free0/gr_free0__t63_gr_free0', redefinition_k9_finseq_1)).
fof(fc5_gr_free0, axiom, ![X1, X2]:(((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>(v1_relat_1(k1_gr_free0(X2))&~(v1_xboole_0(k1_gr_free0(X2))))), file('gr_free0/gr_free0__t63_gr_free0', fc5_gr_free0)).
fof(t37_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_7(X1,X3,X2)))=>(X4!=k1_group_1(k1_group_7(X1,X3,X2))=>r3_rewrite1(k2_gr_free0(X1,X3),k9_finseq_1(k4_tarski(X2,X4)))))))), file('gr_free0/gr_free0__t63_gr_free0', t37_gr_free0)).
fof(t74_finseq_1, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>m2_finseq_1(k12_finseq_1(X1,X2),X1))), file('gr_free0/gr_free0__t63_gr_free0', t74_finseq_1)).
fof(d7_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X2))=>(X4=k7_gr_free0(X1,X2,X3)<=>(r2_tarski(X4,X3)&r3_rewrite1(k2_gr_free0(X1,X2),X4))))))), file('gr_free0/gr_free0__t63_gr_free0', d7_gr_free0)).
fof(t47_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>r2_tarski(k9_finseq_1(k4_tarski(X2,X4)),k5_gr_free0(X1,X3,X2,X4)))))), file('gr_free0/gr_free0__t63_gr_free0', t47_gr_free0)).
fof(dt_k5_gr_free0, axiom, ![X1, X2, X3, X4]:((((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))&m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3))))=>m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_struct_0(k4_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t63_gr_free0', dt_k5_gr_free0)).
fof(redefinition_k4_gr_free0, axiom, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k4_gr_free0(X1,X2)=k3_gr_free0(X1,X2)), file('gr_free0/gr_free0__t63_gr_free0', redefinition_k4_gr_free0)).
fof(dt_k2_group_19, axiom, ![X1, X2, X3]:(((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>(((~(v2_struct_0(k2_group_19(X1,X2,X3)))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), file('gr_free0/gr_free0__t63_gr_free0', dt_k2_group_19)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('gr_free0/gr_free0__t63_gr_free0', fc2_struct_0)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('gr_free0/gr_free0__t63_gr_free0', dt_l3_algstr_0)).
fof(c_0_19, plain, ![X1, X2, X3]:(((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&m1_subset_1(X3,X1))=>k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k1_group_7])).
fof(c_0_20, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>(X4!=k1_group_1(k2_group_19(X1,X3,X2))=>k7_gr_free0(X1,X3,k5_gr_free0(X1,X3,X2,X4))=k9_finseq_1(k4_tarski(X2,X4)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t63_gr_free0])])).
fof(c_0_21, plain, ![X76, X77, X78]:(v1_xboole_0(X76)|~v1_relat_1(X77)|~v4_relat_1(X77,X76)|~v1_funct_1(X77)|~v1_partfun1(X77,X76)|~v1_group_7(X77)|~m1_subset_1(X78,X76)|k1_group_7(X76,X77,X78)=k1_funct_1(X77,X78)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])).
fof(c_0_22, negated_conjecture, (~v1_xboole_0(esk1_0)&(m1_subset_1(esk2_0,esk1_0)&(((((((v1_relat_1(esk3_0)&v4_relat_1(esk3_0,esk1_0))&v1_funct_1(esk3_0))&v1_partfun1(esk3_0,esk1_0))&v1_group_7(esk3_0))&v2_group_7(esk3_0,esk1_0))&v3_group_7(esk3_0,esk1_0))&(m1_subset_1(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))&(esk4_0!=k1_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))&k7_gr_free0(esk1_0,esk3_0,k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))!=k9_finseq_1(k4_tarski(esk2_0,esk4_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
fof(c_0_23, plain, ![X1, X2]:(~v1_xboole_0(X2)=>![X3]:(m1_subset_1(X3,X2)=>![X4]:(((((v1_relat_1(X4)&v4_relat_1(X4,X2))&v1_funct_1(X4))&v1_partfun1(X4,X2))&v1_group_7(X4))=>(r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X4))<=>r2_hidden(X1,u1_struct_0(k1_group_7(X2,X4,X3))))))), inference(fof_simplification,[status(thm)],[t8_gr_free0])).
cnf(c_0_24, plain, (v1_xboole_0(X1)|k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_25, negated_conjecture, (v1_partfun1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_26, negated_conjecture, (v1_group_7(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_27, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_28, negated_conjecture, (v4_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_29, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_31, plain, ![X87, X88]:(~r2_tarski(X87,X88)|m1_subset_1(X87,X88)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_32, plain, ![X101, X102, X103, X104]:((~r2_hidden(k4_tarski(X103,X101),k1_gr_free0(X104))|r2_hidden(X101,u1_struct_0(k1_group_7(X102,X104,X103)))|(~v1_relat_1(X104)|~v4_relat_1(X104,X102)|~v1_funct_1(X104)|~v1_partfun1(X104,X102)|~v1_group_7(X104))|~m1_subset_1(X103,X102)|v1_xboole_0(X102))&(~r2_hidden(X101,u1_struct_0(k1_group_7(X102,X104,X103)))|r2_hidden(k4_tarski(X103,X101),k1_gr_free0(X104))|(~v1_relat_1(X104)|~v4_relat_1(X104,X102)|~v1_funct_1(X104)|~v1_partfun1(X104,X102)|~v1_group_7(X104))|~m1_subset_1(X103,X102)|v1_xboole_0(X102))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])).
cnf(c_0_33, negated_conjecture, (k1_group_7(esk1_0,esk3_0,X1)=k1_funct_1(esk3_0,X1)|~m1_subset_1(X1,esk1_0)), inference(sr,[status(thm)],[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_24, c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29])]), c_0_30])).
cnf(c_0_34, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_35, plain, (r2_hidden(k4_tarski(X4,X1),k1_gr_free0(X3))|v1_xboole_0(X2)|~r2_hidden(X1,u1_struct_0(k1_group_7(X2,X3,X4)))|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~m1_subset_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_36, negated_conjecture, (k1_group_7(esk1_0,esk3_0,X1)=k1_funct_1(esk3_0,X1)|~r2_tarski(X1,esk1_0)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
fof(c_0_37, plain, ![X85, X86]:((~r2_tarski(X85,X86)|r2_hidden(X85,X86))&(~r2_hidden(X85,X86)|r2_tarski(X85,X86))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_38, plain, ![X89, X90]:(~m1_subset_1(X89,X90)|(v1_xboole_0(X90)|r2_tarski(X89,X90))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_39, plain, ![X1, X2, X3]:(((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>k2_group_19(X1,X2,X3)=k1_funct_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k2_group_19])).
fof(c_0_40, plain, ![X1, X2]:((~v1_xboole_0(X1)&m1_subset_1(X2,X1))=>k12_finseq_1(X1,X2)=k5_finseq_1(X2)), inference(fof_simplification,[status(thm)],[redefinition_k12_finseq_1])).
cnf(c_0_41, negated_conjecture, (r2_hidden(k4_tarski(X1,X2),k1_gr_free0(esk3_0))|~r2_hidden(X2,u1_struct_0(k1_funct_1(esk3_0,X1)))|~r2_tarski(X1,esk1_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[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_35, c_0_36]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29])]), c_0_30]), c_0_34])).
cnf(c_0_42, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_43, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_44, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_45, plain, ![X79, X80, X81]:(v1_xboole_0(X79)|~v1_relat_1(X80)|~v4_relat_1(X80,X79)|~v1_funct_1(X80)|~v1_partfun1(X80,X79)|~v1_group_7(X80)|~v2_group_7(X80,X79)|~v3_group_7(X80,X79)|~m1_subset_1(X81,X79)|k2_group_19(X79,X80,X81)=k1_funct_1(X80,X81)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])).
cnf(c_0_46, negated_conjecture, (m1_subset_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_47, plain, ![X74, X75]:(v1_xboole_0(X74)|~m1_subset_1(X75,X74)|k12_finseq_1(X74,X75)=k5_finseq_1(X75)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])).
fof(c_0_48, plain, ![X84]:k9_finseq_1(X84)=k5_finseq_1(X84), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
cnf(c_0_49, negated_conjecture, (r2_hidden(k4_tarski(X1,X2),k1_gr_free0(esk3_0))|~r2_tarski(X2,u1_struct_0(k1_funct_1(esk3_0,X1)))|~r2_tarski(X1,esk1_0)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_50, negated_conjecture, (r2_tarski(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))|v1_xboole_0(u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_51, plain, (v1_xboole_0(X1)|k2_group_19(X1,X2,X3)=k1_funct_1(X2,X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_52, negated_conjecture, (v3_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_53, negated_conjecture, (v2_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_54, negated_conjecture, (k1_funct_1(esk3_0,esk2_0)=k1_group_7(esk1_0,esk3_0,esk2_0)), inference(spm,[status(thm)],[c_0_33, c_0_46])).
fof(c_0_55, plain, ![X1, X2]:(((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))=>(v1_relat_1(k1_gr_free0(X2))&~v1_xboole_0(k1_gr_free0(X2)))), inference(fof_simplification,[status(thm)],[fc5_gr_free0])).
fof(c_0_56, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_7(X1,X3,X2)))=>(X4!=k1_group_1(k1_group_7(X1,X3,X2))=>r3_rewrite1(k2_gr_free0(X1,X3),k9_finseq_1(k4_tarski(X2,X4)))))))), inference(fof_simplification,[status(thm)],[t37_gr_free0])).
cnf(c_0_57, plain, (v1_xboole_0(X1)|k12_finseq_1(X1,X2)=k5_finseq_1(X2)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_58, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_59, negated_conjecture, (r2_hidden(k4_tarski(X1,X2),k1_gr_free0(esk3_0))|~r2_tarski(X2,u1_struct_0(k1_group_7(esk1_0,esk3_0,X1)))|~r2_tarski(X1,esk1_0)), inference(spm,[status(thm)],[c_0_49, c_0_36])).
cnf(c_0_60, negated_conjecture, (r2_tarski(esk4_0,u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29]), c_0_46])]), c_0_30]), c_0_54]), c_0_54])).
cnf(c_0_61, negated_conjecture, (r2_tarski(esk2_0,esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_46]), c_0_30])).
fof(c_0_62, plain, ![X72, X73]:((v1_relat_1(k1_gr_free0(X73))|(v1_xboole_0(X72)|~v1_relat_1(X73)|~v4_relat_1(X73,X72)|~v1_funct_1(X73)|~v1_partfun1(X73,X72)|~v1_group_7(X73)|~v2_group_7(X73,X72)))&(~v1_xboole_0(k1_gr_free0(X73))|(v1_xboole_0(X72)|~v1_relat_1(X73)|~v4_relat_1(X73,X72)|~v1_funct_1(X73)|~v1_partfun1(X73,X72)|~v1_group_7(X73)|~v2_group_7(X73,X72)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])).
fof(c_0_63, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>m2_finseq_1(k12_finseq_1(X1,X2),X1))), inference(fof_simplification,[status(thm)],[t74_finseq_1])).
fof(c_0_64, plain, ![X91, X92, X93, X94]:(v1_xboole_0(X91)|(~m1_subset_1(X92,X91)|(~v1_relat_1(X93)|~v4_relat_1(X93,X91)|~v1_funct_1(X93)|~v1_partfun1(X93,X91)|~v1_group_7(X93)|~v2_group_7(X93,X91)|(~m1_subset_1(X94,u1_struct_0(k1_group_7(X91,X93,X92)))|(X94=k1_group_1(k1_group_7(X91,X93,X92))|r3_rewrite1(k2_gr_free0(X91,X93),k9_finseq_1(k4_tarski(X92,X94)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])).
cnf(c_0_65, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k1_funct_1(esk3_0,esk2_0)))), inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_51]), c_0_52]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29]), c_0_46])]), c_0_30])).
cnf(c_0_66, plain, (k12_finseq_1(X1,X2)=k9_finseq_1(X2)|v1_xboole_0(X1)|~m1_subset_1(X2,X1)), inference(rw,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_67, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_68, negated_conjecture, (r2_hidden(k4_tarski(esk2_0,esk4_0),k1_gr_free0(esk3_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])])).
cnf(c_0_69, plain, (v1_xboole_0(X2)|~v1_xboole_0(k1_gr_free0(X1))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_62])).
fof(c_0_70, plain, ![X99, X100]:(v1_xboole_0(X99)|(~m1_subset_1(X100,X99)|m2_finseq_1(k12_finseq_1(X99,X100),X99))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])).
fof(c_0_71, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X2))=>(X4=k7_gr_free0(X1,X2,X3)<=>(r2_tarski(X4,X3)&r3_rewrite1(k2_gr_free0(X1,X2),X4))))))), inference(fof_simplification,[status(thm)],[d7_gr_free0])).
cnf(c_0_72, plain, (v1_xboole_0(X1)|X4=k1_group_1(k1_group_7(X1,X3,X2))|r3_rewrite1(k2_gr_free0(X1,X3),k9_finseq_1(k4_tarski(X2,X4)))|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~m1_subset_1(X4,u1_struct_0(k1_group_7(X1,X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_73, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(rw,[status(thm)],[c_0_65, c_0_54])).
cnf(c_0_74, plain, (k12_finseq_1(X1,X2)=k9_finseq_1(X2)|v1_xboole_0(X1)|~r2_tarski(X2,X1)), inference(spm,[status(thm)],[c_0_66, c_0_34])).
cnf(c_0_75, negated_conjecture, (r2_tarski(k4_tarski(esk2_0,esk4_0),k1_gr_free0(esk3_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
cnf(c_0_76, negated_conjecture, (~v1_xboole_0(k1_gr_free0(esk3_0))), inference(sr,[status(thm)],[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_69, c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29])]), c_0_30])).
cnf(c_0_77, plain, (v1_xboole_0(X1)|m2_finseq_1(k12_finseq_1(X1,X2),X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_70])).
fof(c_0_78, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>r2_tarski(k9_finseq_1(k4_tarski(X2,X4)),k5_gr_free0(X1,X3,X2,X4)))))), inference(fof_simplification,[status(thm)],[t47_gr_free0])).
fof(c_0_79, plain, ![X59, X60, X61, X62]:(((r2_tarski(X62,X61)|X62!=k7_gr_free0(X59,X60,X61)|~m2_finseq_1(X62,k1_gr_free0(X60))|~m1_subset_1(X61,u1_struct_0(k3_gr_free0(X59,X60)))|(~v1_relat_1(X60)|~v4_relat_1(X60,X59)|~v1_funct_1(X60)|~v1_partfun1(X60,X59)|~v1_group_7(X60)|~v2_group_7(X60,X59)|~v3_group_7(X60,X59))|v1_xboole_0(X59))&(r3_rewrite1(k2_gr_free0(X59,X60),X62)|X62!=k7_gr_free0(X59,X60,X61)|~m2_finseq_1(X62,k1_gr_free0(X60))|~m1_subset_1(X61,u1_struct_0(k3_gr_free0(X59,X60)))|(~v1_relat_1(X60)|~v4_relat_1(X60,X59)|~v1_funct_1(X60)|~v1_partfun1(X60,X59)|~v1_group_7(X60)|~v2_group_7(X60,X59)|~v3_group_7(X60,X59))|v1_xboole_0(X59)))&(~r2_tarski(X62,X61)|~r3_rewrite1(k2_gr_free0(X59,X60),X62)|X62=k7_gr_free0(X59,X60,X61)|~m2_finseq_1(X62,k1_gr_free0(X60))|~m1_subset_1(X61,u1_struct_0(k3_gr_free0(X59,X60)))|(~v1_relat_1(X60)|~v4_relat_1(X60,X59)|~v1_funct_1(X60)|~v1_partfun1(X60,X59)|~v1_group_7(X60)|~v2_group_7(X60,X59)|~v3_group_7(X60,X59))|v1_xboole_0(X59))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])])).
cnf(c_0_80, negated_conjecture, (esk4_0=k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0))|r3_rewrite1(k2_gr_free0(esk1_0,esk3_0),k9_finseq_1(k4_tarski(esk2_0,esk4_0)))), inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29]), c_0_46])]), c_0_30])).
cnf(c_0_81, negated_conjecture, (k9_finseq_1(k4_tarski(esk2_0,esk4_0))=k12_finseq_1(k1_gr_free0(esk3_0),k4_tarski(esk2_0,esk4_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76])).
cnf(c_0_82, plain, (m2_finseq_1(k12_finseq_1(X1,X2),X1)|v1_xboole_0(X1)|~r2_tarski(X2,X1)), inference(spm,[status(thm)],[c_0_77, c_0_34])).
fof(c_0_83, plain, ![X95, X96, X97, X98]:(v1_xboole_0(X95)|(~m1_subset_1(X96,X95)|(~v1_relat_1(X97)|~v4_relat_1(X97,X95)|~v1_funct_1(X97)|~v1_partfun1(X97,X95)|~v1_group_7(X97)|~v2_group_7(X97,X95)|~v3_group_7(X97,X95)|(~m1_subset_1(X98,u1_struct_0(k2_group_19(X95,X97,X96)))|r2_tarski(k9_finseq_1(k4_tarski(X96,X98)),k5_gr_free0(X95,X97,X96,X98)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])).
cnf(c_0_84, plain, (X1=k7_gr_free0(X3,X4,X2)|v1_xboole_0(X3)|~r2_tarski(X1,X2)|~r3_rewrite1(k2_gr_free0(X3,X4),X1)|~m2_finseq_1(X1,k1_gr_free0(X4))|~m1_subset_1(X2,u1_struct_0(k3_gr_free0(X3,X4)))|~v1_relat_1(X4)|~v4_relat_1(X4,X3)|~v1_funct_1(X4)|~v1_partfun1(X4,X3)|~v1_group_7(X4)|~v2_group_7(X4,X3)|~v3_group_7(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_85, negated_conjecture, (esk4_0=k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0))|r3_rewrite1(k2_gr_free0(esk1_0,esk3_0),k12_finseq_1(k1_gr_free0(esk3_0),k4_tarski(esk2_0,esk4_0)))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_86, negated_conjecture, (m2_finseq_1(k12_finseq_1(k1_gr_free0(esk3_0),k4_tarski(esk2_0,esk4_0)),k1_gr_free0(esk3_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_75]), c_0_76])).
cnf(c_0_87, plain, (v1_xboole_0(X1)|r2_tarski(k9_finseq_1(k4_tarski(X2,X4)),k5_gr_free0(X1,X3,X2,X4))|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_83])).
fof(c_0_88, plain, ![X1, X2, X3, X4]:((((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))&m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3))))=>m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_struct_0(k4_gr_free0(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k5_gr_free0])).
fof(c_0_89, plain, ![X82, X83]:(~v1_relat_1(X83)|~v4_relat_1(X83,X82)|~v1_funct_1(X83)|~v1_partfun1(X83,X82)|~v1_group_7(X83)|~v2_group_7(X83,X82)|~v3_group_7(X83,X82)|k4_gr_free0(X82,X83)=k3_gr_free0(X82,X83)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_gr_free0])])).
fof(c_0_90, plain, ![X1, X2, X3]:(((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>(((~v2_struct_0(k2_group_19(X1,X2,X3))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[dt_k2_group_19])).
cnf(c_0_91, negated_conjecture, (k12_finseq_1(k1_gr_free0(esk3_0),k4_tarski(esk2_0,esk4_0))=k7_gr_free0(esk1_0,esk3_0,X1)|esk4_0=k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|~r2_tarski(k12_finseq_1(k1_gr_free0(esk3_0),k4_tarski(esk2_0,esk4_0)),X1)|~m1_subset_1(X1,u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_52]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29])]), c_0_30]), c_0_86])).
cnf(c_0_92, negated_conjecture, (r2_tarski(k12_finseq_1(k1_gr_free0(esk3_0),k4_tarski(esk2_0,esk4_0)),k5_gr_free0(X1,X2,esk2_0,esk4_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(esk4_0,u1_struct_0(k2_group_19(X1,X2,esk2_0)))|~m1_subset_1(esk2_0,X1)), inference(spm,[status(thm)],[c_0_87, c_0_81])).
fof(c_0_93, plain, ![X66, X67, X68, X69]:(v1_xboole_0(X66)|~v1_relat_1(X67)|~v4_relat_1(X67,X66)|~v1_funct_1(X67)|~v1_partfun1(X67,X66)|~v1_group_7(X67)|~v2_group_7(X67,X66)|~v3_group_7(X67,X66)|~m1_subset_1(X68,X66)|~m1_subset_1(X69,u1_struct_0(k2_group_19(X66,X67,X68)))|m1_subset_1(k5_gr_free0(X66,X67,X68,X69),u1_struct_0(k4_gr_free0(X66,X67)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])).
cnf(c_0_94, plain, (k4_gr_free0(X2,X1)=k3_gr_free0(X2,X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)|~v3_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_89])).
fof(c_0_95, plain, ![X63, X64, X65]:((((~v2_struct_0(k2_group_19(X63,X64,X65))|(v1_xboole_0(X63)|~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)|~v2_group_7(X64,X63)|~v3_group_7(X64,X63)|~m1_subset_1(X65,X63)))&(v2_group_1(k2_group_19(X63,X64,X65))|(v1_xboole_0(X63)|~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)|~v2_group_7(X64,X63)|~v3_group_7(X64,X63)|~m1_subset_1(X65,X63))))&(v3_group_1(k2_group_19(X63,X64,X65))|(v1_xboole_0(X63)|~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)|~v2_group_7(X64,X63)|~v3_group_7(X64,X63)|~m1_subset_1(X65,X63))))&(l3_algstr_0(k2_group_19(X63,X64,X65))|(v1_xboole_0(X63)|~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)|~v2_group_7(X64,X63)|~v3_group_7(X64,X63)|~m1_subset_1(X65,X63)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])).
cnf(c_0_96, negated_conjecture, (k7_gr_free0(esk1_0,esk3_0,k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))!=k9_finseq_1(k4_tarski(esk2_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_97, negated_conjecture, (k7_gr_free0(esk1_0,esk3_0,k5_gr_free0(X1,X2,esk2_0,esk4_0))=k12_finseq_1(k1_gr_free0(esk3_0),k4_tarski(esk2_0,esk4_0))|esk4_0=k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(k5_gr_free0(X1,X2,esk2_0,esk4_0),u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(esk4_0,u1_struct_0(k2_group_19(X1,X2,esk2_0)))|~m1_subset_1(esk2_0,X1)), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_98, plain, (v1_xboole_0(X1)|m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_struct_0(k4_gr_free0(X1,X2)))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_99, negated_conjecture, (k4_gr_free0(esk1_0,esk3_0)=k3_gr_free0(esk1_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_94, c_0_52]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29])])).
cnf(c_0_100, plain, (l3_algstr_0(k2_group_19(X1,X2,X3))|v1_xboole_0(X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_101, negated_conjecture, (esk4_0=k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|~m1_subset_1(k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0),u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_52]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29]), c_0_44]), c_0_46])]), c_0_30]), c_0_81])).
cnf(c_0_102, negated_conjecture, (m1_subset_1(k5_gr_free0(esk1_0,esk3_0,X1,X2),u1_struct_0(k3_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(X2,u1_struct_0(k2_group_19(esk1_0,esk3_0,X1)))|~m1_subset_1(X1,esk1_0)), inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_52]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29])]), c_0_30])).
cnf(c_0_103, plain, (l3_algstr_0(k1_funct_1(X1,X2))|v1_xboole_0(X3)|~v3_group_7(X1,X3)|~v2_group_7(X1,X3)|~v1_group_7(X1)|~v1_partfun1(X1,X3)|~v1_funct_1(X1)|~v4_relat_1(X1,X3)|~v1_relat_1(X1)|~m1_subset_1(X2,X3)), inference(spm,[status(thm)],[c_0_100, c_0_51])).
cnf(c_0_104, plain, (v1_xboole_0(X1)|~v2_struct_0(k2_group_19(X1,X2,X3))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
fof(c_0_105, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
cnf(c_0_106, negated_conjecture, (esk4_0!=k1_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_107, negated_conjecture, (esk4_0=k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_44]), c_0_46])])).
fof(c_0_108, plain, ![X70]:(~l3_algstr_0(X70)|l1_struct_0(X70)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
cnf(c_0_109, negated_conjecture, (l3_algstr_0(k1_funct_1(esk3_0,X1))|~m1_subset_1(X1,esk1_0)), inference(sr,[status(thm)],[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_103, c_0_52]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29])]), c_0_30])).
cnf(c_0_110, plain, (v1_xboole_0(X1)|~v2_struct_0(k1_funct_1(X2,X3))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)), inference(spm,[status(thm)],[c_0_104, c_0_51])).
fof(c_0_111, plain, ![X71]:(v2_struct_0(X71)|~l1_struct_0(X71)|~v1_xboole_0(u1_struct_0(X71))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])).
cnf(c_0_112, negated_conjecture, (v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|k1_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))!=k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_106, c_0_107])).
cnf(c_0_113, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_114, negated_conjecture, (l3_algstr_0(k1_group_7(esk1_0,esk3_0,esk2_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_46]), c_0_54])).
cnf(c_0_115, negated_conjecture, (v1_xboole_0(X1)|~v2_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))|~v3_group_7(esk3_0,X1)|~v2_group_7(esk3_0,X1)|~v1_partfun1(esk3_0,X1)|~v4_relat_1(esk3_0,X1)|~m1_subset_1(esk2_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_54]), c_0_26]), c_0_27]), c_0_29])])).
cnf(c_0_116, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_111])).
cnf(c_0_117, negated_conjecture, (v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_51]), c_0_54]), c_0_52]), c_0_53]), c_0_26]), c_0_25]), c_0_27]), c_0_28]), c_0_29]), c_0_46])]), c_0_30])).
cnf(c_0_118, negated_conjecture, (l1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_119, negated_conjecture, (~v2_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))), inference(sr,[status(thm)],[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_115, c_0_52]), c_0_53]), c_0_25]), c_0_28]), c_0_46])]), c_0_30])).
cnf(c_0_120, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_117]), c_0_118])]), c_0_119]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 121
# Proof object clause steps            : 70
# Proof object formula steps           : 51
# Proof object conjectures             : 48
# Proof object clause conjectures      : 45
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 32
# Proof object initial formulas used   : 19
# Proof object generating inferences   : 36
# Proof object simplifying inferences  : 133
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 38
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 37
# Processed clauses                    : 232
# ...of these trivial                  : 0
# ...subsumed                          : 51
# ...remaining for further processing  : 181
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 20
# Generated clauses                    : 206
# ...of the previous two non-trivial   : 195
# Contextual simplify-reflections      : 6
# Paramodulations                      : 204
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 118
#    Positive orientable unit clauses  : 21
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 92
# Current number of unprocessed clauses: 34
# ...number of literals in the above   : 279
# Current number of archived formulas  : 0
# Current number of archived clauses   : 62
# Clause-clause subsumption calls (NU) : 12223
# Rec. Clause-clause subsumption calls : 1516
# Non-unit clause-clause subsumptions  : 60
# Unit Clause-clause subsumption calls : 90
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 14381

# -------------------------------------------------
# User time                : 0.036 s
# System time              : 0.007 s
# Total time               : 0.042 s
# Maximum resident set size: 3520 pages
