# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.023 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l21_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>((r1_struct_0(X1,k1_funct_1(X3,np__1))&r1_struct_0(X2,k1_funct_1(X3,np__2)))&k1_relset_1(k2_tarski(np__1,np__2),X3)=k2_tarski(np__1,np__2))))), file('group_24/group_24__l21_group_24', l21_group_24)).
fof(fc14_group_7, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&l3_algstr_0(X2))=>(v1_partfun1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))&v1_group_7(k10_finseq_1(X1,X2)))), file('group_24/group_24__l21_group_24', fc14_group_7)).
fof(fc13_group_7, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&l3_algstr_0(X2))=>v4_relat_1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))), file('group_24/group_24__l21_group_24', fc13_group_7)).
fof(cc10_card_3, axiom, ![X1, X2]:((((v1_relat_1(X2)&v2_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))=>![X3]:(m1_subset_1(X3,k4_card_3(X2))=>v4_relat_1(X3,X1))), file('group_24/group_24__l21_group_24', cc10_card_3)).
fof(redefinition_k14_pralg_1, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v2_pralg_1(X2))=>k14_pralg_1(X1,X2)=k13_pralg_1(X2)), file('group_24/group_24__l21_group_24', redefinition_k14_pralg_1)).
fof(fc8_finseq_1, axiom, ![X1, X2]:(v1_relat_1(k10_finseq_1(X1,X2))&v1_funct_1(k10_finseq_1(X1,X2))), file('group_24/group_24__l21_group_24', fc8_finseq_1)).
fof(cc8_funct_1, axiom, ![X1]:(v4_funct_1(X1)=>![X2]:(m1_subset_1(X2,X1)=>(v1_relat_1(X2)&v1_funct_1(X2)))), file('group_24/group_24__l21_group_24', cc8_funct_1)).
fof(fc1_group_7, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>((v1_relat_1(k13_pralg_1(X2))&v2_relat_1(k13_pralg_1(X2)))&v1_funct_1(k13_pralg_1(X2)))), file('group_24/group_24__l21_group_24', fc1_group_7)).
fof(dt_k14_pralg_1, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v2_pralg_1(X2))=>(((v1_relat_1(k14_pralg_1(X1,X2))&v4_relat_1(k14_pralg_1(X1,X2),X1))&v1_funct_1(k14_pralg_1(X1,X2)))&v1_partfun1(k14_pralg_1(X1,X2),X1))), file('group_24/group_24__l21_group_24', dt_k14_pralg_1)).
fof(cc1_group_7, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_group_7(X1))=>((v1_relat_1(X1)&v1_funct_1(X1))&v2_pralg_1(X1))), file('group_24/group_24__l21_group_24', cc1_group_7)).
fof(fc4_card_3, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>v4_funct_1(k4_card_3(X1))), file('group_24/group_24__l21_group_24', fc4_card_3)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('group_24/group_24__l21_group_24', redefinition_k1_relset_1)).
fof(d2_group_7, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>![X3]:((v15_algstr_0(X3)&l3_algstr_0(X3))=>(X3=k2_group_7(X1,X2)<=>(u1_struct_0(X3)=k4_card_3(k14_pralg_1(X1,X2))&![X4]:(m1_subset_1(X4,k4_card_3(k14_pralg_1(X1,X2)))=>![X5]:(m1_subset_1(X5,k4_card_3(k14_pralg_1(X1,X2)))=>![X6]:~((r2_tarski(X6,X1)&![X7]:((~(v2_struct_0(X7))&l3_algstr_0(X7))=>![X8]:((v1_relat_1(X8)&v1_funct_1(X8))=>~(((X7=k1_funct_1(X2,X6)&X8=k1_binop_1(u2_algstr_0(X3),X4,X5))&k1_funct_1(X8,X6)=k1_binop_1(u2_algstr_0(X7),k1_funct_1(X4,X6),k1_funct_1(X5,X6)))))))))))))), file('group_24/group_24__l21_group_24', d2_group_7)).
fof(t18_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>((r1_struct_0(X1,k1_funct_1(X3,np__1))&r1_struct_0(X2,k1_funct_1(X3,np__2)))&k1_relset_1(k4_ordinal1,X3)=k2_tarski(np__1,np__2))))), file('group_24/group_24__l21_group_24', t18_group_24)).
fof(dt_k2_group_7, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>(v15_algstr_0(k2_group_7(X1,X2))&l3_algstr_0(k2_group_7(X1,X2)))), file('group_24/group_24__l21_group_24', dt_k2_group_7)).
fof(cc4_group_7, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l3_algstr_0(X1))&~(v2_struct_0(X2)))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>v1_finseq_1(X3))), file('group_24/group_24__l21_group_24', cc4_group_7)).
fof(cc5_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(((v1_relat_1(X1)&v4_relat_1(X1,k4_ordinal1))&v1_funct_1(X1))&v1_finseq_1(X1))), file('group_24/group_24__l21_group_24', cc5_finseq_1)).
fof(c_0_17, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>((r1_struct_0(X1,k1_funct_1(X3,np__1))&r1_struct_0(X2,k1_funct_1(X3,np__2)))&k1_relset_1(k2_tarski(np__1,np__2),X3)=k2_tarski(np__1,np__2)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l21_group_24])])).
fof(c_0_18, plain, ![X1, X2]:((((~v2_struct_0(X1)&l3_algstr_0(X1))&~v2_struct_0(X2))&l3_algstr_0(X2))=>(v1_partfun1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))&v1_group_7(k10_finseq_1(X1,X2)))), inference(fof_simplification,[status(thm)],[fc14_group_7])).
fof(c_0_19, plain, ![X1, X2]:((((~v2_struct_0(X1)&l3_algstr_0(X1))&~v2_struct_0(X2))&l3_algstr_0(X2))=>v4_relat_1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))), inference(fof_simplification,[status(thm)],[fc13_group_7])).
fof(c_0_20, plain, ![X53, X54, X55]:(~v1_relat_1(X54)|~v2_relat_1(X54)|~v4_relat_1(X54,X53)|~v1_funct_1(X54)|(~m1_subset_1(X55,k4_card_3(X54))|v4_relat_1(X55,X53))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc10_card_3])])])).
fof(c_0_21, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&((((~v2_struct_0(esk2_0)&v2_group_1(esk2_0))&v3_group_1(esk2_0))&l3_algstr_0(esk2_0))&(m1_subset_1(esk3_0,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0))))&(~r1_struct_0(esk1_0,k1_funct_1(esk3_0,np__1))|~r1_struct_0(esk2_0,k1_funct_1(esk3_0,np__2))|k1_relset_1(k2_tarski(np__1,np__2),esk3_0)!=k2_tarski(np__1,np__2))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_22, plain, ![X89, X90]:(~v1_relat_1(X90)|~v4_relat_1(X90,X89)|~v1_funct_1(X90)|~v1_partfun1(X90,X89)|~v2_pralg_1(X90)|k14_pralg_1(X89,X90)=k13_pralg_1(X90)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k14_pralg_1])])).
fof(c_0_23, plain, ![X82, X83]:((v1_partfun1(k10_finseq_1(X82,X83),k2_tarski(np__1,np__2))|(v2_struct_0(X82)|~l3_algstr_0(X82)|v2_struct_0(X83)|~l3_algstr_0(X83)))&(v1_group_7(k10_finseq_1(X82,X83))|(v2_struct_0(X82)|~l3_algstr_0(X82)|v2_struct_0(X83)|~l3_algstr_0(X83)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_24, plain, ![X87, X88]:(v1_relat_1(k10_finseq_1(X87,X88))&v1_funct_1(k10_finseq_1(X87,X88))), inference(variable_rename,[status(thm)],[fc8_finseq_1])).
fof(c_0_25, plain, ![X80, X81]:(v2_struct_0(X80)|~l3_algstr_0(X80)|v2_struct_0(X81)|~l3_algstr_0(X81)|v4_relat_1(k10_finseq_1(X80,X81),k2_tarski(np__1,np__2))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])).
fof(c_0_26, plain, ![X61, X62]:((v1_relat_1(X62)|~m1_subset_1(X62,X61)|~v4_funct_1(X61))&(v1_funct_1(X62)|~m1_subset_1(X62,X61)|~v4_funct_1(X61))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_funct_1])])])])).
cnf(c_0_27, plain, (v4_relat_1(X3,X2)|~v1_relat_1(X1)|~v2_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~m1_subset_1(X3,k4_card_3(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, negated_conjecture, (m1_subset_1(esk3_0,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0))))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29, plain, (k14_pralg_1(X2,X1)=k13_pralg_1(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v2_pralg_1(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, plain, (v1_partfun1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))|v2_struct_0(X1)|v2_struct_0(X2)|~l3_algstr_0(X1)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_31, plain, (v1_funct_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_32, plain, (v1_relat_1(k10_finseq_1(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v4_relat_1(k10_finseq_1(X1,X2),k2_tarski(np__1,np__2))|~l3_algstr_0(X1)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_34, plain, ![X84, X85]:(((v1_relat_1(k13_pralg_1(X85))|(~v1_relat_1(X85)|~v4_relat_1(X85,X84)|~v1_funct_1(X85)|~v1_partfun1(X85,X84)|~v1_group_7(X85)))&(v2_relat_1(k13_pralg_1(X85))|(~v1_relat_1(X85)|~v4_relat_1(X85,X84)|~v1_funct_1(X85)|~v1_partfun1(X85,X84)|~v1_group_7(X85))))&(v1_funct_1(k13_pralg_1(X85))|(~v1_relat_1(X85)|~v4_relat_1(X85,X84)|~v1_funct_1(X85)|~v1_partfun1(X85,X84)|~v1_group_7(X85)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_group_7])])])).
fof(c_0_35, plain, ![X76, X77]:((((v1_relat_1(k14_pralg_1(X76,X77))|(~v1_relat_1(X77)|~v4_relat_1(X77,X76)|~v1_funct_1(X77)|~v1_partfun1(X77,X76)|~v2_pralg_1(X77)))&(v4_relat_1(k14_pralg_1(X76,X77),X76)|(~v1_relat_1(X77)|~v4_relat_1(X77,X76)|~v1_funct_1(X77)|~v1_partfun1(X77,X76)|~v2_pralg_1(X77))))&(v1_funct_1(k14_pralg_1(X76,X77))|(~v1_relat_1(X77)|~v4_relat_1(X77,X76)|~v1_funct_1(X77)|~v1_partfun1(X77,X76)|~v2_pralg_1(X77))))&(v1_partfun1(k14_pralg_1(X76,X77),X76)|(~v1_relat_1(X77)|~v4_relat_1(X77,X76)|~v1_funct_1(X77)|~v1_partfun1(X77,X76)|~v2_pralg_1(X77)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k14_pralg_1])])])).
fof(c_0_36, plain, ![X56]:(((v1_relat_1(X56)|(~v1_relat_1(X56)|~v1_funct_1(X56)|~v1_group_7(X56)))&(v1_funct_1(X56)|(~v1_relat_1(X56)|~v1_funct_1(X56)|~v1_group_7(X56))))&(v2_pralg_1(X56)|(~v1_relat_1(X56)|~v1_funct_1(X56)|~v1_group_7(X56)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_group_7])])])).
cnf(c_0_37, plain, (v1_relat_1(X1)|~m1_subset_1(X1,X2)|~v4_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_38, plain, ![X86]:(~v1_relat_1(X86)|~v1_funct_1(X86)|v4_funct_1(k4_card_3(X86))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_card_3])])).
cnf(c_0_39, negated_conjecture, (v4_relat_1(esk3_0,X1)|~v1_funct_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))|~v4_relat_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)),X1)|~v2_relat_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))|~v1_relat_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_40, plain, (k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))=k13_pralg_1(k10_finseq_1(X1,X2))|v2_struct_0(X2)|v2_struct_0(X1)|~v2_pralg_1(k10_finseq_1(X1,X2))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31]), c_0_32])]), c_0_33])).
cnf(c_0_41, negated_conjecture, (l3_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_42, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_43, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_44, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_45, plain, (v2_relat_1(k13_pralg_1(X1))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_46, plain, (v1_group_7(k10_finseq_1(X1,X2))|v2_struct_0(X1)|v2_struct_0(X2)|~l3_algstr_0(X1)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_47, plain, (v4_relat_1(k14_pralg_1(X1,X2),X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_48, plain, (v2_pralg_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_49, negated_conjecture, (v1_relat_1(esk3_0)|~v4_funct_1(k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0))))), inference(spm,[status(thm)],[c_0_37, c_0_28])).
cnf(c_0_50, plain, (v4_funct_1(k4_card_3(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_51, plain, (v1_funct_1(k14_pralg_1(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_52, negated_conjecture, (v4_relat_1(esk3_0,X1)|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))|~v1_funct_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))|~v4_relat_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)),X1)|~v2_relat_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))|~v1_relat_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41]), c_0_42])]), c_0_43]), c_0_44])).
cnf(c_0_53, plain, (v2_relat_1(k13_pralg_1(k10_finseq_1(X1,X2)))|v2_struct_0(X2)|v2_struct_0(X1)|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_46])).
cnf(c_0_54, plain, (v4_relat_1(k14_pralg_1(X1,X2),X1)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_55, negated_conjecture, (v1_relat_1(esk3_0)|~v1_funct_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))|~v1_relat_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_56, plain, (v1_funct_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))|v2_struct_0(X2)|v2_struct_0(X1)|~v2_pralg_1(k10_finseq_1(X1,X2))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_30]), c_0_31]), c_0_32])]), c_0_33])).
cnf(c_0_57, plain, (v1_relat_1(k14_pralg_1(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_58, negated_conjecture, (v4_relat_1(esk3_0,X1)|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))|~v1_funct_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))|~v4_relat_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)),X1)|~v1_relat_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_41]), c_0_42])]), c_0_43]), c_0_44])).
cnf(c_0_59, plain, (v4_relat_1(k13_pralg_1(k10_finseq_1(X1,X2)),k2_tarski(np__1,np__2))|v2_struct_0(X1)|v2_struct_0(X2)|~v2_pralg_1(k10_finseq_1(X1,X2))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_40]), c_0_31]), c_0_32])]), c_0_33]), c_0_46]), c_0_30])).
cnf(c_0_60, plain, (v1_funct_1(k13_pralg_1(X1))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_61, plain, ![X91, X92]:(~v1_relat_1(X92)|~v4_relat_1(X92,X91)|k1_relset_1(X91,X92)=k9_xtuple_0(X92)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
cnf(c_0_62, negated_conjecture, (v1_relat_1(esk3_0)|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))|~v1_relat_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_41]), c_0_42])]), c_0_43]), c_0_44])).
cnf(c_0_63, plain, (v1_relat_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2)))|v2_struct_0(X2)|v2_struct_0(X1)|~v2_pralg_1(k10_finseq_1(X1,X2))|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_30]), c_0_31]), c_0_32])]), c_0_33])).
cnf(c_0_64, negated_conjecture, (v4_relat_1(esk3_0,k2_tarski(np__1,np__2))|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))|~v1_funct_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))|~v1_relat_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_41]), c_0_42])]), c_0_44]), c_0_43])).
cnf(c_0_65, plain, (v1_funct_1(k13_pralg_1(k10_finseq_1(X1,X2)))|v2_struct_0(X2)|v2_struct_0(X1)|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_46])).
cnf(c_0_66, plain, (v1_relat_1(k13_pralg_1(X1))|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
fof(c_0_67, plain, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))=>![X3]:((v15_algstr_0(X3)&l3_algstr_0(X3))=>(X3=k2_group_7(X1,X2)<=>(u1_struct_0(X3)=k4_card_3(k14_pralg_1(X1,X2))&![X4]:(m1_subset_1(X4,k4_card_3(k14_pralg_1(X1,X2)))=>![X5]:(m1_subset_1(X5,k4_card_3(k14_pralg_1(X1,X2)))=>![X6]:~((r2_tarski(X6,X1)&![X7]:((~v2_struct_0(X7)&l3_algstr_0(X7))=>![X8]:((v1_relat_1(X8)&v1_funct_1(X8))=>~(((X7=k1_funct_1(X2,X6)&X8=k1_binop_1(u2_algstr_0(X3),X4,X5))&k1_funct_1(X8,X6)=k1_binop_1(u2_algstr_0(X7),k1_funct_1(X4,X6),k1_funct_1(X5,X6)))))))))))))), inference(fof_simplification,[status(thm)],[d2_group_7])).
cnf(c_0_68, plain, (v1_funct_1(X1)|~m1_subset_1(X1,X2)|~v4_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_69, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_70, negated_conjecture, (v1_relat_1(esk3_0)|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))), inference(sr,[status(thm)],[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_63]), c_0_41]), c_0_42])]), c_0_43]), c_0_44])).
cnf(c_0_71, negated_conjecture, (v4_relat_1(esk3_0,k2_tarski(np__1,np__2))|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))|~v1_relat_1(k13_pralg_1(k10_finseq_1(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_41]), c_0_42])]), c_0_43]), c_0_44])).
cnf(c_0_72, plain, (v1_relat_1(k13_pralg_1(k10_finseq_1(X1,X2)))|v2_struct_0(X2)|v2_struct_0(X1)|~l3_algstr_0(X2)|~l3_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_46])).
fof(c_0_73, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>((r1_struct_0(X1,k1_funct_1(X3,np__1))&r1_struct_0(X2,k1_funct_1(X3,np__2)))&k1_relset_1(k4_ordinal1,X3)=k2_tarski(np__1,np__2))))), inference(fof_simplification,[status(thm)],[t18_group_24])).
fof(c_0_74, plain, ![X63, X64, X65, X66, X67, X68, X74, X75]:(((u1_struct_0(X65)=k4_card_3(k14_pralg_1(X63,X64))|X65!=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)))&(((~v2_struct_0(esk4_6(X63,X64,X65,X66,X67,X68))|~r2_tarski(X68,X63)|~m1_subset_1(X67,k4_card_3(k14_pralg_1(X63,X64)))|~m1_subset_1(X66,k4_card_3(k14_pralg_1(X63,X64)))|X65!=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)))&(l3_algstr_0(esk4_6(X63,X64,X65,X66,X67,X68))|~r2_tarski(X68,X63)|~m1_subset_1(X67,k4_card_3(k14_pralg_1(X63,X64)))|~m1_subset_1(X66,k4_card_3(k14_pralg_1(X63,X64)))|X65!=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64))))&(((v1_relat_1(esk5_6(X63,X64,X65,X66,X67,X68))|~r2_tarski(X68,X63)|~m1_subset_1(X67,k4_card_3(k14_pralg_1(X63,X64)))|~m1_subset_1(X66,k4_card_3(k14_pralg_1(X63,X64)))|X65!=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)))&(v1_funct_1(esk5_6(X63,X64,X65,X66,X67,X68))|~r2_tarski(X68,X63)|~m1_subset_1(X67,k4_card_3(k14_pralg_1(X63,X64)))|~m1_subset_1(X66,k4_card_3(k14_pralg_1(X63,X64)))|X65!=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64))))&(((esk4_6(X63,X64,X65,X66,X67,X68)=k1_funct_1(X64,X68)|~r2_tarski(X68,X63)|~m1_subset_1(X67,k4_card_3(k14_pralg_1(X63,X64)))|~m1_subset_1(X66,k4_card_3(k14_pralg_1(X63,X64)))|X65!=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)))&(esk5_6(X63,X64,X65,X66,X67,X68)=k1_binop_1(u2_algstr_0(X65),X66,X67)|~r2_tarski(X68,X63)|~m1_subset_1(X67,k4_card_3(k14_pralg_1(X63,X64)))|~m1_subset_1(X66,k4_card_3(k14_pralg_1(X63,X64)))|X65!=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64))))&(k1_funct_1(esk5_6(X63,X64,X65,X66,X67,X68),X68)=k1_binop_1(u2_algstr_0(esk4_6(X63,X64,X65,X66,X67,X68)),k1_funct_1(X66,X68),k1_funct_1(X67,X68))|~r2_tarski(X68,X63)|~m1_subset_1(X67,k4_card_3(k14_pralg_1(X63,X64)))|~m1_subset_1(X66,k4_card_3(k14_pralg_1(X63,X64)))|X65!=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)))))))&((m1_subset_1(esk6_3(X63,X64,X65),k4_card_3(k14_pralg_1(X63,X64)))|u1_struct_0(X65)!=k4_card_3(k14_pralg_1(X63,X64))|X65=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)))&((m1_subset_1(esk7_3(X63,X64,X65),k4_card_3(k14_pralg_1(X63,X64)))|u1_struct_0(X65)!=k4_card_3(k14_pralg_1(X63,X64))|X65=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)))&((r2_tarski(esk8_3(X63,X64,X65),X63)|u1_struct_0(X65)!=k4_card_3(k14_pralg_1(X63,X64))|X65=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)))&(v2_struct_0(X74)|~l3_algstr_0(X74)|(~v1_relat_1(X75)|~v1_funct_1(X75)|(X74!=k1_funct_1(X64,esk8_3(X63,X64,X65))|X75!=k1_binop_1(u2_algstr_0(X65),esk6_3(X63,X64,X65),esk7_3(X63,X64,X65))|k1_funct_1(X75,esk8_3(X63,X64,X65))!=k1_binop_1(u2_algstr_0(X74),k1_funct_1(esk6_3(X63,X64,X65),esk8_3(X63,X64,X65)),k1_funct_1(esk7_3(X63,X64,X65),esk8_3(X63,X64,X65)))))|u1_struct_0(X65)!=k4_card_3(k14_pralg_1(X63,X64))|X65=k2_group_7(X63,X64)|(~v15_algstr_0(X65)|~l3_algstr_0(X65))|(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64))))))), 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_67])])])])])).
fof(c_0_75, plain, ![X78, X79]:((v15_algstr_0(k2_group_7(X78,X79))|(~v1_relat_1(X79)|~v4_relat_1(X79,X78)|~v1_funct_1(X79)|~v1_partfun1(X79,X78)|~v1_group_7(X79)))&(l3_algstr_0(k2_group_7(X78,X79))|(~v1_relat_1(X79)|~v4_relat_1(X79,X78)|~v1_funct_1(X79)|~v1_partfun1(X79,X78)|~v1_group_7(X79)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_group_7])])])).
cnf(c_0_76, negated_conjecture, (v1_funct_1(esk3_0)|~v4_funct_1(k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0))))), inference(spm,[status(thm)],[c_0_68, c_0_28])).
cnf(c_0_77, negated_conjecture, (~r1_struct_0(esk1_0,k1_funct_1(esk3_0,np__1))|~r1_struct_0(esk2_0,k1_funct_1(esk3_0,np__2))|k1_relset_1(k2_tarski(np__1,np__2),esk3_0)!=k2_tarski(np__1,np__2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_78, plain, (k1_relset_1(X1,X2)=k1_relset_1(X3,X2)|~v4_relat_1(X2,X1)|~v4_relat_1(X2,X3)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_69, c_0_69])).
cnf(c_0_79, negated_conjecture, (v1_relat_1(esk3_0)|~v1_group_7(k10_finseq_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_48]), c_0_31]), c_0_32])])).
cnf(c_0_80, negated_conjecture, (v4_relat_1(esk3_0,k2_tarski(np__1,np__2))|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_41]), c_0_42])]), c_0_43]), c_0_44])).
fof(c_0_81, plain, ![X93, X94, X95]:(((r1_struct_0(X93,k1_funct_1(X95,np__1))|~m1_subset_1(X95,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X93,X94))))|(v2_struct_0(X94)|~v2_group_1(X94)|~v3_group_1(X94)|~l3_algstr_0(X94))|(v2_struct_0(X93)|~v2_group_1(X93)|~v3_group_1(X93)|~l3_algstr_0(X93)))&(r1_struct_0(X94,k1_funct_1(X95,np__2))|~m1_subset_1(X95,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X93,X94))))|(v2_struct_0(X94)|~v2_group_1(X94)|~v3_group_1(X94)|~l3_algstr_0(X94))|(v2_struct_0(X93)|~v2_group_1(X93)|~v3_group_1(X93)|~l3_algstr_0(X93))))&(k1_relset_1(k4_ordinal1,X95)=k2_tarski(np__1,np__2)|~m1_subset_1(X95,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X93,X94))))|(v2_struct_0(X94)|~v2_group_1(X94)|~v3_group_1(X94)|~l3_algstr_0(X94))|(v2_struct_0(X93)|~v2_group_1(X93)|~v3_group_1(X93)|~l3_algstr_0(X93)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])])).
cnf(c_0_82, plain, (u1_struct_0(X1)=k4_card_3(k14_pralg_1(X2,X3))|X1!=k2_group_7(X2,X3)|~v15_algstr_0(X1)|~l3_algstr_0(X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_83, plain, (l3_algstr_0(k2_group_7(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_84, plain, (v15_algstr_0(k2_group_7(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_75])).
fof(c_0_85, plain, ![X1, X2]:((((~v2_struct_0(X1)&l3_algstr_0(X1))&~v2_struct_0(X2))&l3_algstr_0(X2))=>![X3]:(m1_subset_1(X3,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))=>v1_finseq_1(X3))), inference(fof_simplification,[status(thm)],[cc4_group_7])).
cnf(c_0_86, negated_conjecture, (v1_funct_1(esk3_0)|~v1_funct_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))|~v1_relat_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))), inference(spm,[status(thm)],[c_0_76, c_0_50])).
cnf(c_0_87, negated_conjecture, (k1_relset_1(X1,esk3_0)!=k2_tarski(np__1,np__2)|~v4_relat_1(esk3_0,k2_tarski(np__1,np__2))|~v4_relat_1(esk3_0,X1)|~v1_relat_1(esk3_0)|~r1_struct_0(esk1_0,k1_funct_1(esk3_0,np__1))|~r1_struct_0(esk2_0,k1_funct_1(esk3_0,np__2))), inference(spm,[status(thm)],[c_0_77, c_0_78])).
cnf(c_0_88, negated_conjecture, (v1_relat_1(esk3_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_46]), c_0_41]), c_0_42])]), c_0_44]), c_0_43])).
cnf(c_0_89, negated_conjecture, (v4_relat_1(esk3_0,k2_tarski(np__1,np__2))|~v1_group_7(k10_finseq_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_48]), c_0_31]), c_0_32])])).
cnf(c_0_90, plain, (r1_struct_0(X1,k1_funct_1(X2,np__2))|v2_struct_0(X1)|v2_struct_0(X3)|~m1_subset_1(X2,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X3,X1))))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_91, plain, (u1_struct_0(k2_group_7(X1,X2))=k4_card_3(k14_pralg_1(X1,X2))|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_82]), c_0_83]), c_0_84])).
fof(c_0_92, plain, ![X57, X58, X59]:(v2_struct_0(X57)|~l3_algstr_0(X57)|v2_struct_0(X58)|~l3_algstr_0(X58)|(~m1_subset_1(X59,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X57,X58))))|v1_finseq_1(X59))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])).
cnf(c_0_93, negated_conjecture, (v1_funct_1(esk3_0)|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))|~v1_relat_1(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_56]), c_0_41]), c_0_42])]), c_0_43]), c_0_44])).
cnf(c_0_94, negated_conjecture, (k1_relset_1(X1,esk3_0)!=k2_tarski(np__1,np__2)|~v4_relat_1(esk3_0,k2_tarski(np__1,np__2))|~v4_relat_1(esk3_0,X1)|~r1_struct_0(esk1_0,k1_funct_1(esk3_0,np__1))|~r1_struct_0(esk2_0,k1_funct_1(esk3_0,np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88])])).
cnf(c_0_95, negated_conjecture, (v4_relat_1(esk3_0,k2_tarski(np__1,np__2))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_46]), c_0_41]), c_0_42])]), c_0_44]), c_0_43])).
cnf(c_0_96, plain, (r1_struct_0(X1,k1_funct_1(X2,np__2))|v2_struct_0(X3)|v2_struct_0(X1)|~m1_subset_1(X2,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X3,X1))))|~l3_algstr_0(X3)|~l3_algstr_0(X1)|~v3_group_1(X3)|~v3_group_1(X1)|~v2_group_1(X3)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_31]), c_0_32])]), c_0_33]), c_0_46]), c_0_30])).
cnf(c_0_97, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_98, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_99, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_100, negated_conjecture, (v2_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_101, plain, (r1_struct_0(X1,k1_funct_1(X2,np__1))|v2_struct_0(X3)|v2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X1,X3))))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_81])).
fof(c_0_102, plain, ![X60]:((((v1_relat_1(X60)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60)))&(v4_relat_1(X60,k4_ordinal1)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60))))&(v1_funct_1(X60)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60))))&(v1_finseq_1(X60)|(~v1_relat_1(X60)|~v1_funct_1(X60)|~v1_finseq_1(X60)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_finseq_1])])])).
cnf(c_0_103, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v1_finseq_1(X3)|~l3_algstr_0(X1)|~l3_algstr_0(X2)|~m1_subset_1(X3,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X2))))), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_104, negated_conjecture, (v1_funct_1(esk3_0)|~v2_pralg_1(k10_finseq_1(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_63]), c_0_41]), c_0_42])]), c_0_43]), c_0_44])).
cnf(c_0_105, negated_conjecture, (k1_relset_1(X1,esk3_0)!=k2_tarski(np__1,np__2)|~v4_relat_1(esk3_0,X1)|~r1_struct_0(esk1_0,k1_funct_1(esk3_0,np__1))|~r1_struct_0(esk2_0,k1_funct_1(esk3_0,np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_95])])).
cnf(c_0_106, negated_conjecture, (r1_struct_0(esk2_0,k1_funct_1(esk3_0,np__2))), inference(sr,[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(spm,[status(thm)],[c_0_96, c_0_28]), c_0_42]), c_0_41]), c_0_97]), c_0_98]), c_0_99]), c_0_100])]), c_0_44]), c_0_43])).
cnf(c_0_107, plain, (r1_struct_0(X1,k1_funct_1(X2,np__1))|v2_struct_0(X3)|v2_struct_0(X1)|~m1_subset_1(X2,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X1,X3))))|~l3_algstr_0(X3)|~l3_algstr_0(X1)|~v3_group_1(X3)|~v3_group_1(X1)|~v2_group_1(X3)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_91]), c_0_31]), c_0_32])]), c_0_33]), c_0_46]), c_0_30])).
cnf(c_0_108, plain, (k1_relset_1(k4_ordinal1,X1)=k2_tarski(np__1,np__2)|v2_struct_0(X3)|v2_struct_0(X2)|~m1_subset_1(X1,u1_struct_0(k2_group_7(k2_tarski(np__1,np__2),k10_finseq_1(X2,X3))))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_109, plain, (v4_relat_1(X1,k4_ordinal1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_102])).
cnf(c_0_110, negated_conjecture, (v1_finseq_1(esk3_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_28]), c_0_41]), c_0_42])]), c_0_44]), c_0_43])).
cnf(c_0_111, negated_conjecture, (v1_funct_1(esk3_0)|~v1_group_7(k10_finseq_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_48]), c_0_31]), c_0_32])])).
cnf(c_0_112, negated_conjecture, (k1_relset_1(X1,esk3_0)!=k2_tarski(np__1,np__2)|~v4_relat_1(esk3_0,X1)|~r1_struct_0(esk1_0,k1_funct_1(esk3_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105, c_0_106])])).
cnf(c_0_113, negated_conjecture, (r1_struct_0(esk1_0,k1_funct_1(esk3_0,np__1))), inference(sr,[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(spm,[status(thm)],[c_0_107, c_0_28]), c_0_41]), c_0_42]), c_0_98]), c_0_97]), c_0_100]), c_0_99])]), c_0_43]), c_0_44])).
cnf(c_0_114, plain, (k1_relset_1(k4_ordinal1,X1)=k2_tarski(np__1,np__2)|v2_struct_0(X2)|v2_struct_0(X3)|~m1_subset_1(X1,k4_card_3(k14_pralg_1(k2_tarski(np__1,np__2),k10_finseq_1(X3,X2))))|~l3_algstr_0(X2)|~l3_algstr_0(X3)|~v3_group_1(X2)|~v3_group_1(X3)|~v2_group_1(X2)|~v2_group_1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_91]), c_0_31]), c_0_32])]), c_0_33]), c_0_46]), c_0_30])).
cnf(c_0_115, negated_conjecture, (v4_relat_1(esk3_0,k4_ordinal1)|~v1_funct_1(esk3_0)|~v1_relat_1(esk3_0)), inference(spm,[status(thm)],[c_0_109, c_0_110])).
cnf(c_0_116, negated_conjecture, (v1_funct_1(esk3_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_46]), c_0_41]), c_0_42])]), c_0_44]), c_0_43])).
cnf(c_0_117, negated_conjecture, (k1_relset_1(X1,esk3_0)!=k2_tarski(np__1,np__2)|~v4_relat_1(esk3_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112, c_0_113])])).
cnf(c_0_118, negated_conjecture, (k1_relset_1(k4_ordinal1,esk3_0)=k2_tarski(np__1,np__2)), inference(sr,[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(spm,[status(thm)],[c_0_114, c_0_28]), c_0_41]), c_0_42]), c_0_98]), c_0_97]), c_0_100]), c_0_99])]), c_0_43]), c_0_44])).
cnf(c_0_119, negated_conjecture, (v4_relat_1(esk3_0,k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115, c_0_88])]), c_0_116])])).
cnf(c_0_120, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_118]), c_0_119])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 121
# Proof object clause steps            : 81
# Proof object formula steps           : 40
# Proof object conjectures             : 45
# Proof object clause conjectures      : 42
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 36
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 39
# Proof object simplifying inferences  : 169
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 53
# Removed in clause preprocessing      : 5
# Initial clauses in saturation        : 48
# Processed clauses                    : 122
# ...of these trivial                  : 0
# ...subsumed                          : 22
# ...remaining for further processing  : 100
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 11
# Backward-rewritten                   : 21
# Generated clauses                    : 95
# ...of the previous two non-trivial   : 102
# Contextual simplify-reflections      : 26
# Paramodulations                      : 94
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 67
#    Positive orientable unit clauses  : 17
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 46
# Current number of unprocessed clauses: 24
# ...number of literals in the above   : 261
# Current number of archived formulas  : 0
# Current number of archived clauses   : 32
# Clause-clause subsumption calls (NU) : 1592
# Rec. Clause-clause subsumption calls : 124
# Non-unit clause-clause subsumptions  : 57
# Unit Clause-clause subsumption calls : 115
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 8810

# -------------------------------------------------
# User time                : 0.028 s
# System time              : 0.005 s
# Total time               : 0.032 s
# Maximum resident set size: 3388 pages
