# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S053I
# and selection function HSelectMinInfpos.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k5_group_4, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>(v15_algstr_0(k5_group_4(X1,X2))&m1_group_2(k5_group_4(X1,X2),X1))), file('group_24/group_24__t8_group_24', dt_k5_group_4)).
fof(t8_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(X2=u1_struct_0(X1)=>k5_group_4(X1,X2)=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), file('group_24/group_24__t8_group_24', t8_group_24)).
fof(dt_m1_group_2, axiom, ![X1]:(((~(v2_struct_0(X1))&v2_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((~(v2_struct_0(X2))&v2_group_1(X2))&l3_algstr_0(X2)))), file('group_24/group_24__t8_group_24', dt_m1_group_2)).
fof(d4_group_4, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>![X3]:((v15_algstr_0(X3)&m1_group_2(X3,X1))=>(X3=k5_group_4(X1,X2)<=>(r1_tarski(X2,u1_struct_0(X3))&![X4]:((v15_algstr_0(X4)&m1_group_2(X4,X1))=>(r1_tarski(X2,u1_struct_0(X4))=>m1_group_2(X3,X4)))))))), file('group_24/group_24__t8_group_24', d4_group_4)).
fof(t61_group_2, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>(r1_tarski(u1_struct_0(X1),u1_struct_0(X2))=>g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2))=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), file('group_24/group_24__t8_group_24', t61_group_2)).
fof(abstractness_v15_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>(v15_algstr_0(X1)=>X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))), file('group_24/group_24__t8_group_24', abstractness_v15_algstr_0)).
fof(c_0_6, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>(v15_algstr_0(k5_group_4(X1,X2))&m1_group_2(k5_group_4(X1,X2),X1))), inference(fof_simplification,[status(thm)],[dt_k5_group_4])).
fof(c_0_7, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(X2=u1_struct_0(X1)=>k5_group_4(X1,X2)=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_group_24])])).
fof(c_0_8, plain, ![X1]:(((~v2_struct_0(X1)&v2_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((~v2_struct_0(X2)&v2_group_1(X2))&l3_algstr_0(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_group_2])).
fof(c_0_9, plain, ![X26, X27]:((v15_algstr_0(k5_group_4(X26,X27))|(v2_struct_0(X26)|~v2_group_1(X26)|~v3_group_1(X26)|~l3_algstr_0(X26)|~m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))))&(m1_group_2(k5_group_4(X26,X27),X26)|(v2_struct_0(X26)|~v2_group_1(X26)|~v3_group_1(X26)|~l3_algstr_0(X26)|~m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_10, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&(m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))&(esk2_0=u1_struct_0(esk1_0)&k5_group_4(esk1_0,esk2_0)!=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_11, plain, ![X28, X29]:(((~v2_struct_0(X29)|~m1_group_2(X29,X28)|(v2_struct_0(X28)|~v2_group_1(X28)|~l3_algstr_0(X28)))&(v2_group_1(X29)|~m1_group_2(X29,X28)|(v2_struct_0(X28)|~v2_group_1(X28)|~l3_algstr_0(X28))))&(l3_algstr_0(X29)|~m1_group_2(X29,X28)|(v2_struct_0(X28)|~v2_group_1(X28)|~l3_algstr_0(X28)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])).
cnf(c_0_12, plain, (m1_group_2(k5_group_4(X1,X2),X1)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_13, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, negated_conjecture, (esk2_0=u1_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_18, negated_conjecture, (m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_19, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>![X3]:((v15_algstr_0(X3)&m1_group_2(X3,X1))=>(X3=k5_group_4(X1,X2)<=>(r1_tarski(X2,u1_struct_0(X3))&![X4]:((v15_algstr_0(X4)&m1_group_2(X4,X1))=>(r1_tarski(X2,u1_struct_0(X4))=>m1_group_2(X3,X4)))))))), inference(fof_simplification,[status(thm)],[d4_group_4])).
fof(c_0_20, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>(r1_tarski(u1_struct_0(X1),u1_struct_0(X2))=>g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2))=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), inference(fof_simplification,[status(thm)],[t61_group_2])).
cnf(c_0_21, plain, (v15_algstr_0(k5_group_4(X1,X2))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_22, plain, (l3_algstr_0(X1)|v2_struct_0(X2)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_23, negated_conjecture, (m1_group_2(k5_group_4(esk1_0,X1),esk1_0)|~m1_subset_1(X1,k1_zfmisc_1(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14]), c_0_15]), c_0_16])]), c_0_17])).
cnf(c_0_24, negated_conjecture, (m1_subset_1(esk2_0,k1_zfmisc_1(esk2_0))), inference(rw,[status(thm)],[c_0_18, c_0_14])).
fof(c_0_25, plain, ![X21, X22, X23, X24]:(((r1_tarski(X22,u1_struct_0(X23))|X23!=k5_group_4(X21,X22)|(~v15_algstr_0(X23)|~m1_group_2(X23,X21))|~m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21)))&(~v15_algstr_0(X24)|~m1_group_2(X24,X21)|(~r1_tarski(X22,u1_struct_0(X24))|m1_group_2(X23,X24))|X23!=k5_group_4(X21,X22)|(~v15_algstr_0(X23)|~m1_group_2(X23,X21))|~m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21))))&(((v15_algstr_0(esk3_3(X21,X22,X23))|~r1_tarski(X22,u1_struct_0(X23))|X23=k5_group_4(X21,X22)|(~v15_algstr_0(X23)|~m1_group_2(X23,X21))|~m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21)))&(m1_group_2(esk3_3(X21,X22,X23),X21)|~r1_tarski(X22,u1_struct_0(X23))|X23=k5_group_4(X21,X22)|(~v15_algstr_0(X23)|~m1_group_2(X23,X21))|~m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21))))&((r1_tarski(X22,u1_struct_0(esk3_3(X21,X22,X23)))|~r1_tarski(X22,u1_struct_0(X23))|X23=k5_group_4(X21,X22)|(~v15_algstr_0(X23)|~m1_group_2(X23,X21))|~m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21)))&(~m1_group_2(X23,esk3_3(X21,X22,X23))|~r1_tarski(X22,u1_struct_0(X23))|X23=k5_group_4(X21,X22)|(~v15_algstr_0(X23)|~m1_group_2(X23,X21))|~m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X21)))|(v2_struct_0(X21)|~v2_group_1(X21)|~v3_group_1(X21)|~l3_algstr_0(X21)))))), 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_19])])])])])).
fof(c_0_26, plain, ![X30, X31]:(v2_struct_0(X30)|~v2_group_1(X30)|~v3_group_1(X30)|~l3_algstr_0(X30)|(~m1_group_2(X31,X30)|(~r1_tarski(u1_struct_0(X30),u1_struct_0(X31))|g3_algstr_0(u1_struct_0(X31),u2_algstr_0(X31))=g3_algstr_0(u1_struct_0(X30),u2_algstr_0(X30))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
fof(c_0_27, plain, ![X20]:(~l3_algstr_0(X20)|(~v15_algstr_0(X20)|X20=g3_algstr_0(u1_struct_0(X20),u2_algstr_0(X20)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v15_algstr_0])])).
cnf(c_0_28, negated_conjecture, (v15_algstr_0(k5_group_4(esk1_0,X1))|~m1_subset_1(X1,k1_zfmisc_1(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_13]), c_0_14]), c_0_15]), c_0_16])]), c_0_17])).
cnf(c_0_29, negated_conjecture, (l3_algstr_0(X1)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_13]), c_0_16])]), c_0_17])).
cnf(c_0_30, negated_conjecture, (m1_group_2(k5_group_4(esk1_0,esk2_0),esk1_0)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_31, plain, (r1_tarski(X1,u1_struct_0(X2))|v2_struct_0(X3)|X2!=k5_group_4(X3,X1)|~v15_algstr_0(X2)|~m1_group_2(X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_32, plain, (v2_struct_0(X1)|g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2))=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~r1_tarski(u1_struct_0(X1),u1_struct_0(X2))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_33, plain, (X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~l3_algstr_0(X1)|~v15_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_34, negated_conjecture, (v15_algstr_0(k5_group_4(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_28, c_0_24])).
cnf(c_0_35, negated_conjecture, (l3_algstr_0(k5_group_4(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_36, negated_conjecture, (k5_group_4(esk1_0,esk2_0)!=g3_algstr_0(u1_struct_0(esk1_0),u2_algstr_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_37, plain, (r1_tarski(X1,u1_struct_0(k5_group_4(X2,X1)))|v2_struct_0(X2)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))|~l3_algstr_0(X2)|~v3_group_1(X2)|~v2_group_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_31]), c_0_21]), c_0_12])).
cnf(c_0_38, negated_conjecture, (g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))=g3_algstr_0(esk2_0,u2_algstr_0(esk1_0))|~r1_tarski(esk2_0,u1_struct_0(X1))|~m1_group_2(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_32, c_0_13]), c_0_14]), c_0_14]), c_0_15]), c_0_16])]), c_0_17])).
cnf(c_0_39, negated_conjecture, (g3_algstr_0(u1_struct_0(k5_group_4(esk1_0,esk2_0)),u2_algstr_0(k5_group_4(esk1_0,esk2_0)))=k5_group_4(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])])).
cnf(c_0_40, negated_conjecture, (g3_algstr_0(esk2_0,u2_algstr_0(esk1_0))!=k5_group_4(esk1_0,esk2_0)), inference(rw,[status(thm)],[c_0_36, c_0_14])).
cnf(c_0_41, negated_conjecture, (r1_tarski(X1,u1_struct_0(k5_group_4(esk1_0,X1)))|~m1_subset_1(X1,k1_zfmisc_1(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_13]), c_0_14]), c_0_15]), c_0_16])]), c_0_17])).
cnf(c_0_42, negated_conjecture, (~r1_tarski(esk2_0,u1_struct_0(k5_group_4(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_30]), c_0_39]), c_0_40])).
cnf(c_0_43, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_24]), c_0_42]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 44
# Proof object clause steps            : 27
# Proof object formula steps           : 17
# Proof object conjectures             : 23
# Proof object clause conjectures      : 20
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 13
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 34
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 20
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 20
# Processed clauses                    : 60
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 60
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 26
# ...of the previous two non-trivial   : 25
# Contextual simplify-reflections      : 4
# Paramodulations                      : 24
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 38
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 25
# Current number of unprocessed clauses: 5
# ...number of literals in the above   : 47
# Current number of archived formulas  : 0
# Current number of archived clauses   : 20
# Clause-clause subsumption calls (NU) : 567
# Rec. Clause-clause subsumption calls : 50
# Non-unit clause-clause subsumptions  : 4
# Unit Clause-clause subsumption calls : 20
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3384

# -------------------------------------------------
# User time                : 0.015 s
# System time              : 0.010 s
# Total time               : 0.025 s
# Maximum resident set size: 3020 pages
