# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.029 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(rd1_funcop_1, axiom, ![X1, X2, X3]:((~(v1_xboole_0(X1))&m1_subset_1(X3,X1))=>k1_funct_1(k2_funcop_1(X1,X2),X3)=X2), file('gr_free0/gr_free0__t53_gr_free0', rd1_funcop_1)).
fof(t53_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))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_7(X1,X3,X2)))=>k9_finseq_1(k4_tarski(X2,X4))=k1_funct_1(k9_funct_6(k9_finseq_1(k13_funct_3(k8_funcop_1(X1,u1_struct_0(k1_group_7(X1,X3,X2)),X2),k6_partfun1(u1_struct_0(k1_group_7(X1,X3,X2)))))),X4))))), file('gr_free0/gr_free0__t53_gr_free0', t53_gr_free0)).
fof(redefinition_k8_funcop_1, axiom, ![X1, X2, X3]:((~(v1_xboole_0(X1))&m1_subset_1(X3,X1))=>k8_funcop_1(X1,X2,X3)=k2_funcop_1(X2,X3)), file('gr_free0/gr_free0__t53_gr_free0', redefinition_k8_funcop_1)).
fof(d7_funct_3, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>![X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(X3=k13_funct_3(X1,X2)<=>(k9_xtuple_0(X3)=k3_xboole_0(k9_xtuple_0(X1),k9_xtuple_0(X2))&![X4]:(r2_hidden(X4,k9_xtuple_0(X3))=>k1_funct_1(X3,X4)=k4_tarski(k1_funct_1(X1,X4),k1_funct_1(X2,X4)))))))), file('gr_free0/gr_free0__t53_gr_free0', d7_funct_3)).
fof(dt_k13_funct_3, axiom, ![X1, X2]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_relat_1(X2))&v1_funct_1(X2))=>(v1_relat_1(k13_funct_3(X1,X2))&v1_funct_1(k13_funct_3(X1,X2)))), file('gr_free0/gr_free0__t53_gr_free0', dt_k13_funct_3)).
fof(rd1_relat_1, axiom, ![X1]:k9_xtuple_0(k4_relat_1(X1))=X1, file('gr_free0/gr_free0__t53_gr_free0', rd1_relat_1)).
fof(redefinition_k6_partfun1, axiom, ![X1]:k6_partfun1(X1)=k4_relat_1(X1), file('gr_free0/gr_free0__t53_gr_free0', redefinition_k6_partfun1)).
fof(fc3_funct_1, axiom, ![X1]:(v1_relat_1(k4_relat_1(X1))&v1_funct_1(k4_relat_1(X1))), file('gr_free0/gr_free0__t53_gr_free0', fc3_funct_1)).
fof(fc1_funcop_1, axiom, ![X1, X2]:(v1_relat_1(k2_funcop_1(X1,X2))&v1_funct_1(k2_funcop_1(X1,X2))), file('gr_free0/gr_free0__t53_gr_free0', fc1_funcop_1)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('gr_free0/gr_free0__t53_gr_free0', t2_subset)).
fof(rd2_funcop_1, axiom, ![X1, X2]:k9_xtuple_0(k2_funcop_1(X1,X2))=X1, file('gr_free0/gr_free0__t53_gr_free0', rd2_funcop_1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t53_gr_free0', redefinition_r2_tarski)).
fof(t4_gr_free0, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2]:(r2_hidden(X2,k9_xtuple_0(X1))=>k1_funct_1(k9_funct_6(k9_finseq_1(X1)),X2)=k9_finseq_1(k1_funct_1(X1,X2)))), file('gr_free0/gr_free0__t53_gr_free0', t4_gr_free0)).
fof(idempotence_k3_xboole_0, axiom, ![X1, X2]:k3_xboole_0(X1,X1)=X1, file('gr_free0/gr_free0__t53_gr_free0', idempotence_k3_xboole_0)).
fof(rd1_funct_1, axiom, ![X1, X2]:(m1_subset_1(X2,X1)=>k1_funct_1(k4_relat_1(X1),X2)=X2), file('gr_free0/gr_free0__t53_gr_free0', rd1_funct_1)).
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__t53_gr_free0', fc2_struct_0)).
fof(dt_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))=>(~(v2_struct_0(k1_group_7(X1,X2,X3)))&l3_algstr_0(k1_group_7(X1,X2,X3)))), file('gr_free0/gr_free0__t53_gr_free0', dt_k1_group_7)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('gr_free0/gr_free0__t53_gr_free0', dt_l3_algstr_0)).
fof(c_0_18, plain, ![X1, X2, X3]:((~v1_xboole_0(X1)&m1_subset_1(X3,X1))=>k1_funct_1(k2_funcop_1(X1,X2),X3)=X2), inference(fof_simplification,[status(thm)],[rd1_funcop_1])).
fof(c_0_19, 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))=>![X4]:(m1_subset_1(X4,u1_struct_0(k1_group_7(X1,X3,X2)))=>k9_finseq_1(k4_tarski(X2,X4))=k1_funct_1(k9_funct_6(k9_finseq_1(k13_funct_3(k8_funcop_1(X1,u1_struct_0(k1_group_7(X1,X3,X2)),X2),k6_partfun1(u1_struct_0(k1_group_7(X1,X3,X2)))))),X4)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t53_gr_free0])])).
fof(c_0_20, plain, ![X1, X2, X3]:((~v1_xboole_0(X1)&m1_subset_1(X3,X1))=>k8_funcop_1(X1,X2,X3)=k2_funcop_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k8_funcop_1])).
fof(c_0_21, plain, ![X48, X49, X50, X51]:(((k9_xtuple_0(X50)=k3_xboole_0(k9_xtuple_0(X48),k9_xtuple_0(X49))|X50!=k13_funct_3(X48,X49)|(~v1_relat_1(X50)|~v1_funct_1(X50))|(~v1_relat_1(X49)|~v1_funct_1(X49))|(~v1_relat_1(X48)|~v1_funct_1(X48)))&(~r2_hidden(X51,k9_xtuple_0(X50))|k1_funct_1(X50,X51)=k4_tarski(k1_funct_1(X48,X51),k1_funct_1(X49,X51))|X50!=k13_funct_3(X48,X49)|(~v1_relat_1(X50)|~v1_funct_1(X50))|(~v1_relat_1(X49)|~v1_funct_1(X49))|(~v1_relat_1(X48)|~v1_funct_1(X48))))&((r2_hidden(esk5_3(X48,X49,X50),k9_xtuple_0(X50))|k9_xtuple_0(X50)!=k3_xboole_0(k9_xtuple_0(X48),k9_xtuple_0(X49))|X50=k13_funct_3(X48,X49)|(~v1_relat_1(X50)|~v1_funct_1(X50))|(~v1_relat_1(X49)|~v1_funct_1(X49))|(~v1_relat_1(X48)|~v1_funct_1(X48)))&(k1_funct_1(X50,esk5_3(X48,X49,X50))!=k4_tarski(k1_funct_1(X48,esk5_3(X48,X49,X50)),k1_funct_1(X49,esk5_3(X48,X49,X50)))|k9_xtuple_0(X50)!=k3_xboole_0(k9_xtuple_0(X48),k9_xtuple_0(X49))|X50=k13_funct_3(X48,X49)|(~v1_relat_1(X50)|~v1_funct_1(X50))|(~v1_relat_1(X49)|~v1_funct_1(X49))|(~v1_relat_1(X48)|~v1_funct_1(X48))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_funct_3])])])])])).
fof(c_0_22, plain, ![X53, X54]:((v1_relat_1(k13_funct_3(X53,X54))|(~v1_relat_1(X53)|~v1_funct_1(X53)|~v1_relat_1(X54)|~v1_funct_1(X54)))&(v1_funct_1(k13_funct_3(X53,X54))|(~v1_relat_1(X53)|~v1_funct_1(X53)|~v1_relat_1(X54)|~v1_funct_1(X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k13_funct_3])])])).
fof(c_0_23, plain, ![X64, X65, X66]:(v1_xboole_0(X64)|~m1_subset_1(X66,X64)|k1_funct_1(k2_funcop_1(X64,X65),X66)=X65), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])).
fof(c_0_24, 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))&(m1_subset_1(esk4_0,u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))&k9_finseq_1(k4_tarski(esk2_0,esk4_0))!=k1_funct_1(k9_funct_6(k9_finseq_1(k13_funct_3(k8_funcop_1(esk1_0,u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))),esk4_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
fof(c_0_25, plain, ![X69]:k9_xtuple_0(k4_relat_1(X69))=X69, inference(variable_rename,[status(thm)],[rd1_relat_1])).
fof(c_0_26, plain, ![X72]:k6_partfun1(X72)=k4_relat_1(X72), inference(variable_rename,[status(thm)],[redefinition_k6_partfun1])).
fof(c_0_27, plain, ![X62]:(v1_relat_1(k4_relat_1(X62))&v1_funct_1(k4_relat_1(X62))), inference(variable_rename,[status(thm)],[fc3_funct_1])).
fof(c_0_28, plain, ![X73, X74, X75]:(v1_xboole_0(X73)|~m1_subset_1(X75,X73)|k8_funcop_1(X73,X74,X75)=k2_funcop_1(X74,X75)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])).
cnf(c_0_29, plain, (k1_funct_1(X2,X1)=k4_tarski(k1_funct_1(X3,X1),k1_funct_1(X4,X1))|~r2_hidden(X1,k9_xtuple_0(X2))|X2!=k13_funct_3(X3,X4)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X4)|~v1_funct_1(X4)|~v1_relat_1(X3)|~v1_funct_1(X3)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_30, plain, (v1_relat_1(k13_funct_3(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_31, plain, (v1_funct_1(k13_funct_3(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, plain, (v1_xboole_0(X1)|k1_funct_1(k2_funcop_1(X1,X3),X2)=X3|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_33, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_34, plain, ![X59, X60]:(v1_relat_1(k2_funcop_1(X59,X60))&v1_funct_1(k2_funcop_1(X59,X60))), inference(variable_rename,[status(thm)],[fc1_funcop_1])).
cnf(c_0_35, plain, (k9_xtuple_0(X1)=k3_xboole_0(k9_xtuple_0(X2),k9_xtuple_0(X3))|X1!=k13_funct_3(X2,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_36, plain, (k9_xtuple_0(k4_relat_1(X1))=X1), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_37, plain, (k6_partfun1(X1)=k4_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_38, plain, (v1_funct_1(k4_relat_1(X1))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_39, plain, (v1_relat_1(k4_relat_1(X1))), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_40, plain, ![X79, X80]:(~m1_subset_1(X79,X80)|(v1_xboole_0(X80)|r2_tarski(X79,X80))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_41, plain, (v1_xboole_0(X1)|k8_funcop_1(X1,X3,X2)=k2_funcop_1(X3,X2)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_42, negated_conjecture, (m1_subset_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_43, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_44, plain, (k4_tarski(k1_funct_1(X1,X2),k1_funct_1(X3,X2))=k1_funct_1(k13_funct_3(X1,X3),X2)|~r2_hidden(X2,k9_xtuple_0(k13_funct_3(X1,X3)))|~v1_funct_1(X3)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_29]), c_0_30]), c_0_31])).
cnf(c_0_45, negated_conjecture, (k1_funct_1(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),X1),esk4_0)=X1|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_46, plain, (v1_funct_1(k2_funcop_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_47, plain, (v1_relat_1(k2_funcop_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_48, plain, (k3_xboole_0(k9_xtuple_0(X1),k9_xtuple_0(X2))=k9_xtuple_0(k13_funct_3(X1,X2))|~v1_funct_1(X2)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_35]), c_0_30]), c_0_31])).
cnf(c_0_49, plain, (k9_xtuple_0(k6_partfun1(X1))=X1), inference(rw,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_50, plain, (v1_funct_1(k6_partfun1(X1))), inference(rw,[status(thm)],[c_0_38, c_0_37])).
cnf(c_0_51, plain, (v1_relat_1(k6_partfun1(X1))), inference(rw,[status(thm)],[c_0_39, c_0_37])).
fof(c_0_52, plain, ![X70, X71]:k9_xtuple_0(k2_funcop_1(X70,X71))=X70, inference(variable_rename,[status(thm)],[rd2_funcop_1])).
fof(c_0_53, plain, ![X77, X78]:((~r2_tarski(X77,X78)|r2_hidden(X77,X78))&(~r2_hidden(X77,X78)|r2_tarski(X77,X78))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_54, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_55, negated_conjecture, (k9_finseq_1(k4_tarski(esk2_0,esk4_0))!=k1_funct_1(k9_funct_6(k9_finseq_1(k13_funct_3(k8_funcop_1(esk1_0,u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))),esk4_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_56, negated_conjecture, (k8_funcop_1(esk1_0,X1,esk2_0)=k2_funcop_1(X1,esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])).
fof(c_0_57, plain, ![X81, X82]:(~v1_relat_1(X81)|~v1_funct_1(X81)|(~r2_hidden(X82,k9_xtuple_0(X81))|k1_funct_1(k9_funct_6(k9_finseq_1(X81)),X82)=k9_finseq_1(k1_funct_1(X81,X82)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_gr_free0])])])).
cnf(c_0_58, negated_conjecture, (k1_funct_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),X1),X2),esk4_0)=k4_tarski(X1,k1_funct_1(X2,esk4_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|~r2_hidden(esk4_0,k9_xtuple_0(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),X1),X2)))|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46]), c_0_47])])).
cnf(c_0_59, plain, (k9_xtuple_0(k13_funct_3(X1,k6_partfun1(X2)))=k3_xboole_0(k9_xtuple_0(X1),X2)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51])])).
cnf(c_0_60, plain, (k9_xtuple_0(k2_funcop_1(X1,X2))=X1), inference(split_conjunct,[status(thm)],[c_0_52])).
fof(c_0_61, plain, ![X63]:k3_xboole_0(X63,X63)=X63, inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])])).
cnf(c_0_62, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_63, 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(spm,[status(thm)],[c_0_54, c_0_33])).
cnf(c_0_64, negated_conjecture, (k1_funct_1(k9_funct_6(k9_finseq_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))),esk4_0)!=k9_finseq_1(k4_tarski(esk2_0,esk4_0))), inference(rw,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_65, plain, (k1_funct_1(k9_funct_6(k9_finseq_1(X1)),X2)=k9_finseq_1(k1_funct_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~r2_hidden(X2,k9_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_66, negated_conjecture, (k1_funct_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),X1),k6_partfun1(X2)),esk4_0)=k4_tarski(X1,k1_funct_1(k6_partfun1(X2),esk4_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|~r2_hidden(esk4_0,k3_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),X2))), 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_58, c_0_59]), c_0_60]), c_0_50]), c_0_51]), c_0_46]), c_0_47])])).
cnf(c_0_67, plain, (k3_xboole_0(X1,X1)=X1), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_68, negated_conjecture, (r2_hidden(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(spm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_69, negated_conjecture, (k9_finseq_1(k1_funct_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))),esk4_0))!=k9_finseq_1(k4_tarski(esk2_0,esk4_0))|~r2_hidden(esk4_0,k9_xtuple_0(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))))))|~v1_funct_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))|~v1_relat_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_70, negated_conjecture, (k1_funct_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),X1),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))),esk4_0)=k4_tarski(X1,k1_funct_1(k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))),esk4_0))|v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_68])).
cnf(c_0_71, negated_conjecture, (v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|k9_finseq_1(k4_tarski(esk2_0,k1_funct_1(k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))),esk4_0)))!=k9_finseq_1(k4_tarski(esk2_0,esk4_0))|~r2_hidden(esk4_0,k9_xtuple_0(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))))))|~v1_funct_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))|~v1_relat_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))), inference(spm,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_72, negated_conjecture, (v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|k9_finseq_1(k4_tarski(esk2_0,k1_funct_1(k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))),esk4_0)))!=k9_finseq_1(k4_tarski(esk2_0,esk4_0))|~v1_funct_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))|~v1_relat_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))))), inference(csr,[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_71, c_0_59]), c_0_60]), c_0_67]), c_0_46]), c_0_47])]), c_0_68])).
fof(c_0_73, plain, ![X67, X68]:(~m1_subset_1(X68,X67)|k1_funct_1(k4_relat_1(X67),X68)=X68), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_funct_1])])).
fof(c_0_74, 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_75, negated_conjecture, (v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|k9_finseq_1(k4_tarski(esk2_0,k1_funct_1(k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))),esk4_0)))!=k9_finseq_1(k4_tarski(esk2_0,esk4_0))|~v1_relat_1(k13_funct_3(k2_funcop_1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)),esk2_0),k6_partfun1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_31]), c_0_50]), c_0_46]), c_0_51]), c_0_47])])).
cnf(c_0_76, plain, (k1_funct_1(k4_relat_1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_73])).
fof(c_0_77, 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))=>(~v2_struct_0(k1_group_7(X1,X2,X3))&l3_algstr_0(k1_group_7(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[dt_k1_group_7])).
fof(c_0_78, plain, ![X61]:(v2_struct_0(X61)|~l1_struct_0(X61)|~v1_xboole_0(u1_struct_0(X61))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])).
cnf(c_0_79, negated_conjecture, (v1_xboole_0(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0)))|k9_finseq_1(k4_tarski(esk2_0,k1_funct_1(k6_partfun1(u1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))),esk4_0)))!=k9_finseq_1(k4_tarski(esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_30]), c_0_50]), c_0_46]), c_0_51]), c_0_47])])).
cnf(c_0_80, plain, (k1_funct_1(k6_partfun1(X2),X1)=X1|~m1_subset_1(X1,X2)), inference(rw,[status(thm)],[c_0_76, c_0_37])).
fof(c_0_81, plain, ![X55, X56, X57]:((~v2_struct_0(k1_group_7(X55,X56,X57))|(v1_xboole_0(X55)|~v1_relat_1(X56)|~v4_relat_1(X56,X55)|~v1_funct_1(X56)|~v1_partfun1(X56,X55)|~v1_group_7(X56)|~m1_subset_1(X57,X55)))&(l3_algstr_0(k1_group_7(X55,X56,X57))|(v1_xboole_0(X55)|~v1_relat_1(X56)|~v4_relat_1(X56,X55)|~v1_funct_1(X56)|~v1_partfun1(X56,X55)|~v1_group_7(X56)|~m1_subset_1(X57,X55)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])).
cnf(c_0_82, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_83, negated_conjecture, (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_79, c_0_80]), c_0_33])])).
fof(c_0_84, plain, ![X58]:(~l3_algstr_0(X58)|l1_struct_0(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
cnf(c_0_85, plain, (l3_algstr_0(k1_group_7(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)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_86, negated_conjecture, (v1_partfun1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_87, negated_conjecture, (v1_group_7(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_88, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_89, negated_conjecture, (v4_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_90, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_91, plain, (v1_xboole_0(X1)|~v2_struct_0(k1_group_7(X1,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_81])).
cnf(c_0_92, negated_conjecture, (v2_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))|~l1_struct_0(k1_group_7(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_93, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_94, negated_conjecture, (l3_algstr_0(k1_group_7(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(spm,[status(thm)],[c_0_85, c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90])]), c_0_43])).
cnf(c_0_95, negated_conjecture, (~l1_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(spm,[status(thm)],[c_0_91, c_0_92]), c_0_87]), c_0_86]), c_0_88]), c_0_89]), c_0_90]), c_0_42])]), c_0_43])).
cnf(c_0_96, negated_conjecture, (l1_struct_0(k1_group_7(esk1_0,esk3_0,X1))|~m1_subset_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_97, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_96]), c_0_42])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 98
# Proof object clause steps            : 57
# Proof object formula steps           : 41
# Proof object conjectures             : 31
# Proof object clause conjectures      : 28
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 31
# Proof object initial formulas used   : 18
# Proof object generating inferences   : 19
# Proof object simplifying inferences  : 59
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 36
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 34
# Processed clauses                    : 154
# ...of these trivial                  : 0
# ...subsumed                          : 7
# ...remaining for further processing  : 147
# Other redundant clauses eliminated   : 16
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 15
# Generated clauses                    : 297
# ...of the previous two non-trivial   : 267
# Contextual simplify-reflections      : 9
# Paramodulations                      : 280
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 17
# 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  : 92
#    Positive orientable unit clauses  : 21
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 68
# Current number of unprocessed clauses: 181
# ...number of literals in the above   : 1401
# Current number of archived formulas  : 0
# Current number of archived clauses   : 55
# Clause-clause subsumption calls (NU) : 3218
# Rec. Clause-clause subsumption calls : 581
# Non-unit clause-clause subsumptions  : 20
# Unit Clause-clause subsumption calls : 34
# 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          : 16382

# -------------------------------------------------
# User time                : 0.050 s
# System time              : 0.000 s
# Total time               : 0.050 s
# Maximum resident set size: 3512 pages
