# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___006_C18_F1_PI_AE_Q4_CS_SP_S2S
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.023 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc1_ring_4, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v2_struct_0(X2)))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), file('e_trans1/e_trans1__l41_e_trans1', fc1_ring_4)).
fof(fc2_ring_4, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), file('e_trans1/e_trans1__l41_e_trans1', fc2_ring_4)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans1/e_trans1__l41_e_trans1', dt_l2_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans1/e_trans1__l41_e_trans1', dt_l6_algstr_0)).
fof(dt_k12_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), file('e_trans1/e_trans1__l41_e_trans1', dt_k12_polynom3)).
fof(redefinition_m1_ring_4, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v1_xboole_0(X2)))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), file('e_trans1/e_trans1__l41_e_trans1', redefinition_m1_ring_4)).
fof(l41_e_trans1, conjecture, ![X1]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v3_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:(m1_ring_4(X3,X1,u1_struct_0(k12_polynom3(X1)))=>m1_ring_4(X3,X2,u1_struct_0(k12_polynom3(X2)))))), file('e_trans1/e_trans1__l41_e_trans1', l41_e_trans1)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('e_trans1/e_trans1__l41_e_trans1', dt_l2_struct_0)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('e_trans1/e_trans1__l41_e_trans1', t2_subset)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('e_trans1/e_trans1__l41_e_trans1', fc2_struct_0)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('e_trans1/e_trans1__l41_e_trans1', redefinition_r2_tarski)).
fof(t10_field_4, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>r1_tarski(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X2))))), file('e_trans1/e_trans1__l41_e_trans1', t10_field_4)).
fof(d3_tarski, axiom, ![X1, X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))), file('e_trans1/e_trans1__l41_e_trans1', d3_tarski)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('e_trans1/e_trans1__l41_e_trans1', t1_subset)).
fof(c_0_14, plain, ![X1, X2]:(((((~v2_struct_0(X1)&l2_struct_0(X1))&~v2_struct_0(X2))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), inference(fof_simplification,[status(thm)],[fc1_ring_4])).
fof(c_0_15, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), inference(fof_simplification,[status(thm)],[fc2_ring_4])).
fof(c_0_16, plain, ![X39]:((l2_struct_0(X39)|~l2_algstr_0(X39))&(l1_algstr_0(X39)|~l2_algstr_0(X39))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_17, plain, ![X41]:((l2_algstr_0(X41)|~l6_algstr_0(X41))&(l5_algstr_0(X41)|~l6_algstr_0(X41))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_18, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[dt_k12_polynom3])).
fof(c_0_19, plain, ![X1, X2]:((((~v2_struct_0(X1)&l2_struct_0(X1))&~v1_xboole_0(X2))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), inference(fof_simplification,[status(thm)],[redefinition_m1_ring_4])).
fof(c_0_20, negated_conjecture, ~(![X1]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v3_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:(m1_ring_4(X3,X1,u1_struct_0(k12_polynom3(X1)))=>m1_ring_4(X3,X2,u1_struct_0(k12_polynom3(X2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l41_e_trans1])])).
fof(c_0_21, plain, ![X42, X43]:(v2_struct_0(X42)|~l2_struct_0(X42)|v2_struct_0(X43)|~v2_ring_4(X43,X42)|~l1_struct_0(X43)|v1_ring_4(u1_struct_0(X43),X42)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])).
fof(c_0_22, plain, ![X44]:(((~v2_struct_0(k12_polynom3(X44))|(v2_struct_0(X44)|~v13_algstr_0(X44)|~v3_rlvect_1(X44)|~v4_rlvect_1(X44)|~v5_vectsp_1(X44)|~l6_algstr_0(X44)))&(v36_algstr_0(k12_polynom3(X44))|(v2_struct_0(X44)|~v13_algstr_0(X44)|~v3_rlvect_1(X44)|~v4_rlvect_1(X44)|~v5_vectsp_1(X44)|~l6_algstr_0(X44))))&(v2_ring_4(k12_polynom3(X44),X44)|(v2_struct_0(X44)|~v13_algstr_0(X44)|~v3_rlvect_1(X44)|~v4_rlvect_1(X44)|~v5_vectsp_1(X44)|~l6_algstr_0(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
cnf(c_0_23, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_25, plain, ![X38]:(((~v2_struct_0(k12_polynom3(X38))|(v2_struct_0(X38)|~v13_algstr_0(X38)|~v3_rlvect_1(X38)|~v4_rlvect_1(X38)|~v5_vectsp_1(X38)|~l6_algstr_0(X38)))&(v36_algstr_0(k12_polynom3(X38))|(v2_struct_0(X38)|~v13_algstr_0(X38)|~v3_rlvect_1(X38)|~v4_rlvect_1(X38)|~v5_vectsp_1(X38)|~l6_algstr_0(X38))))&(l6_algstr_0(k12_polynom3(X38))|(v2_struct_0(X38)|~v13_algstr_0(X38)|~v3_rlvect_1(X38)|~v4_rlvect_1(X38)|~v5_vectsp_1(X38)|~l6_algstr_0(X38)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_26, plain, ![X46, X47, X48]:((~m1_ring_4(X48,X46,X47)|m1_subset_1(X48,X47)|(v2_struct_0(X46)|~l2_struct_0(X46)|v1_xboole_0(X47)|~v1_ring_4(X47,X46)))&(~m1_subset_1(X48,X47)|m1_ring_4(X48,X46,X47)|(v2_struct_0(X46)|~l2_struct_0(X46)|v1_xboole_0(X47)|~v1_ring_4(X47,X46)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])).
fof(c_0_27, negated_conjecture, ((((((((((~v2_struct_0(esk1_0)&v13_algstr_0(esk1_0))&v3_group_1(esk1_0))&v5_group_1(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&l6_algstr_0(esk1_0))&((((((((((~v2_struct_0(esk2_0)&v13_algstr_0(esk2_0))&v3_group_1(esk2_0))&v2_rlvect_1(esk2_0))&v3_rlvect_1(esk2_0))&v4_rlvect_1(esk2_0))&v4_vectsp_1(esk2_0))&v5_vectsp_1(esk2_0))&v1_field_4(esk2_0,esk1_0))&l6_algstr_0(esk2_0))&(m1_ring_4(esk3_0,esk1_0,u1_struct_0(k12_polynom3(esk1_0)))&~m1_ring_4(esk3_0,esk2_0,u1_struct_0(k12_polynom3(esk2_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
cnf(c_0_28, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v1_ring_4(u1_struct_0(X2),X1)|~l2_struct_0(X1)|~v2_ring_4(X2,X1)|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29, plain, (v2_ring_4(k12_polynom3(X1),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_31, plain, (v2_struct_0(X1)|~v2_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_32, plain, ![X40]:(~l2_struct_0(X40)|l1_struct_0(X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
cnf(c_0_33, plain, (m1_subset_1(X1,X3)|v2_struct_0(X2)|v1_xboole_0(X3)|~m1_ring_4(X1,X2,X3)|~l2_struct_0(X2)|~v1_ring_4(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_34, negated_conjecture, (m1_ring_4(esk3_0,esk1_0,u1_struct_0(k12_polynom3(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_35, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_36, plain, (v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|v2_struct_0(X1)|~l1_struct_0(k12_polynom3(X1))|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31])).
cnf(c_0_37, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_38, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))|v1_xboole_0(u1_struct_0(k12_polynom3(esk1_0)))|~v1_ring_4(u1_struct_0(k12_polynom3(esk1_0)),esk1_0)|~l2_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])).
cnf(c_0_39, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_40, plain, (v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|v2_struct_0(X1)|~l2_struct_0(k12_polynom3(X1))|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_41, plain, (l6_algstr_0(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_42, plain, ![X55, X56]:(~m1_subset_1(X55,X56)|(v1_xboole_0(X56)|r2_tarski(X55,X56))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_43, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))|v1_xboole_0(u1_struct_0(k12_polynom3(esk1_0)))|~v1_ring_4(u1_struct_0(k12_polynom3(esk1_0)),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_30]), c_0_39])])).
cnf(c_0_44, plain, (v1_ring_4(u1_struct_0(k12_polynom3(X1)),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_30]), c_0_41])).
cnf(c_0_45, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_46, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_47, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_48, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_49, 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])).
fof(c_0_50, plain, ![X49, X50]:((~r2_tarski(X49,X50)|r2_hidden(X49,X50))&(~r2_hidden(X49,X50)|r2_tarski(X49,X50))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_51, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_52, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))|v1_xboole_0(u1_struct_0(k12_polynom3(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(spm,[status(thm)],[c_0_43, c_0_44]), c_0_39]), c_0_45]), c_0_46]), c_0_47]), c_0_48])]), c_0_35])).
fof(c_0_53, plain, ![X45]:(v2_struct_0(X45)|~l1_struct_0(X45)|~v1_xboole_0(u1_struct_0(X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])).
cnf(c_0_54, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_55, negated_conjecture, (r2_tarski(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))|v1_xboole_0(u1_struct_0(k12_polynom3(esk1_0)))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
fof(c_0_56, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>r1_tarski(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X2))))), inference(fof_simplification,[status(thm)],[t10_field_4])).
cnf(c_0_57, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_58, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(esk1_0)))|r2_hidden(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))), inference(spm,[status(thm)],[c_0_54, c_0_55])).
fof(c_0_59, plain, ![X51, X52]:(v2_struct_0(X51)|~v13_algstr_0(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v3_group_1(X51)|~l6_algstr_0(X51)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v4_vectsp_1(X52)|~v5_vectsp_1(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v3_group_1(X52)|~v1_field_4(X52,X51)|~l6_algstr_0(X52)|r1_tarski(u1_struct_0(k12_polynom3(X51)),u1_struct_0(k12_polynom3(X52))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])).
cnf(c_0_60, negated_conjecture, (r2_hidden(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))|v2_struct_0(k12_polynom3(esk1_0))|~l1_struct_0(k12_polynom3(esk1_0))), inference(spm,[status(thm)],[c_0_57, c_0_58])).
fof(c_0_61, plain, ![X32, X33, X34, X35, X36]:((~r1_tarski(X32,X33)|(~r2_hidden(X34,X32)|r2_hidden(X34,X33)))&((r2_hidden(esk4_2(X35,X36),X35)|r1_tarski(X35,X36))&(~r2_hidden(esk4_2(X35,X36),X36)|r1_tarski(X35,X36)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])).
cnf(c_0_62, plain, (v2_struct_0(X1)|v2_struct_0(X2)|r1_tarski(u1_struct_0(k12_polynom3(X1)),u1_struct_0(k12_polynom3(X2)))|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_63, negated_conjecture, (v1_field_4(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_64, negated_conjecture, (l6_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_65, negated_conjecture, (v5_vectsp_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_66, negated_conjecture, (v4_vectsp_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_67, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_68, negated_conjecture, (v4_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_69, negated_conjecture, (v3_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_70, negated_conjecture, (v2_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_71, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_72, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_73, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_74, negated_conjecture, (v13_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_75, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_76, negated_conjecture, (r2_hidden(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))|v2_struct_0(k12_polynom3(esk1_0))|~l2_struct_0(k12_polynom3(esk1_0))), inference(spm,[status(thm)],[c_0_60, c_0_37])).
cnf(c_0_77, plain, (r2_hidden(X3,X2)|~r1_tarski(X1,X2)|~r2_hidden(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_78, negated_conjecture, (r1_tarski(u1_struct_0(k12_polynom3(esk1_0)),u1_struct_0(k12_polynom3(esk2_0)))), 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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64]), c_0_39]), c_0_65]), c_0_45]), c_0_66]), c_0_67]), c_0_68]), c_0_46]), c_0_69]), c_0_47]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_48])]), c_0_35]), c_0_75])).
cnf(c_0_79, negated_conjecture, (r2_hidden(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))|v2_struct_0(k12_polynom3(esk1_0))|~l6_algstr_0(k12_polynom3(esk1_0))), inference(spm,[status(thm)],[c_0_76, c_0_30])).
cnf(c_0_80, negated_conjecture, (r2_hidden(X1,u1_struct_0(k12_polynom3(esk2_0)))|~r2_hidden(X1,u1_struct_0(k12_polynom3(esk1_0)))), inference(spm,[status(thm)],[c_0_77, c_0_78])).
cnf(c_0_81, negated_conjecture, (r2_hidden(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))|v2_struct_0(k12_polynom3(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(spm,[status(thm)],[c_0_79, c_0_41]), c_0_39]), c_0_45]), c_0_46]), c_0_47]), c_0_48])]), c_0_35])).
fof(c_0_82, plain, ![X53, X54]:(~r2_tarski(X53,X54)|m1_subset_1(X53,X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
cnf(c_0_83, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_84, negated_conjecture, (r2_hidden(esk3_0,u1_struct_0(k12_polynom3(esk2_0)))|v2_struct_0(k12_polynom3(esk1_0))), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_85, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_86, negated_conjecture, (r2_tarski(esk3_0,u1_struct_0(k12_polynom3(esk2_0)))|v2_struct_0(k12_polynom3(esk1_0))), inference(spm,[status(thm)],[c_0_83, c_0_84])).
cnf(c_0_87, plain, (m1_ring_4(X1,X3,X2)|v2_struct_0(X3)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)|~l2_struct_0(X3)|~v1_ring_4(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_88, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k12_polynom3(esk2_0)))|v2_struct_0(k12_polynom3(esk1_0))), inference(spm,[status(thm)],[c_0_85, c_0_86])).
cnf(c_0_89, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(esk2_0)))|m1_ring_4(esk3_0,X1,u1_struct_0(k12_polynom3(esk2_0)))|v2_struct_0(k12_polynom3(esk1_0))|v2_struct_0(X1)|~v1_ring_4(u1_struct_0(k12_polynom3(esk2_0)),X1)|~l2_struct_0(X1)), inference(spm,[status(thm)],[c_0_87, c_0_88])).
cnf(c_0_90, negated_conjecture, (~m1_ring_4(esk3_0,esk2_0,u1_struct_0(k12_polynom3(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_91, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(esk2_0)))|v2_struct_0(k12_polynom3(esk1_0))|~l2_struct_0(esk2_0)), 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(spm,[status(thm)],[c_0_89, c_0_44]), c_0_64]), c_0_65]), c_0_68]), c_0_69]), c_0_74])]), c_0_90]), c_0_75])).
cnf(c_0_92, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(esk2_0)))|v2_struct_0(k12_polynom3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_30]), c_0_64])])).
cnf(c_0_93, negated_conjecture, (v2_struct_0(k12_polynom3(esk1_0))|v2_struct_0(k12_polynom3(esk2_0))|~l1_struct_0(k12_polynom3(esk2_0))), inference(spm,[status(thm)],[c_0_57, c_0_92])).
cnf(c_0_94, negated_conjecture, (v2_struct_0(k12_polynom3(esk2_0))|v2_struct_0(k12_polynom3(esk1_0))|~l2_struct_0(k12_polynom3(esk2_0))), inference(spm,[status(thm)],[c_0_93, c_0_37])).
cnf(c_0_95, negated_conjecture, (v2_struct_0(k12_polynom3(esk1_0))|v2_struct_0(k12_polynom3(esk2_0))|~l6_algstr_0(k12_polynom3(esk2_0))), inference(spm,[status(thm)],[c_0_94, c_0_30])).
cnf(c_0_96, negated_conjecture, (v2_struct_0(k12_polynom3(esk2_0))|v2_struct_0(k12_polynom3(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(spm,[status(thm)],[c_0_95, c_0_41]), c_0_64]), c_0_65]), c_0_68]), c_0_69]), c_0_74])]), c_0_75])).
cnf(c_0_97, negated_conjecture, (v2_struct_0(k12_polynom3(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(spm,[status(thm)],[c_0_31, c_0_96]), c_0_64]), c_0_65]), c_0_68]), c_0_69]), c_0_74])]), c_0_75])).
cnf(c_0_98, negated_conjecture, ($false), 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_31, c_0_97]), c_0_39]), c_0_45]), c_0_46]), c_0_47]), c_0_48])]), c_0_35]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 99
# Proof object clause steps            : 64
# Proof object formula steps           : 35
# Proof object conjectures             : 47
# Proof object clause conjectures      : 44
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 37
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 27
# Proof object simplifying inferences  : 70
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 45
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 45
# Processed clauses                    : 91
# ...of these trivial                  : 0
# ...subsumed                          : 11
# ...remaining for further processing  : 80
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 12
# Backward-rewritten                   : 8
# Generated clauses                    : 53
# ...of the previous two non-trivial   : 49
# Contextual simplify-reflections      : 4
# Paramodulations                      : 53
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 60
#    Positive orientable unit clauses  : 22
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 35
# Current number of unprocessed clauses: 3
# ...number of literals in the above   : 20
# Current number of archived formulas  : 0
# Current number of archived clauses   : 20
# Clause-clause subsumption calls (NU) : 2263
# Rec. Clause-clause subsumption calls : 446
# Non-unit clause-clause subsumptions  : 27
# Unit Clause-clause subsumption calls : 22
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4787

# -------------------------------------------------
# User time                : 0.027 s
# System time              : 0.002 s
# Total time               : 0.028 s
# Maximum resident set size: 3452 pages
