# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S03DN
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t56_group_4, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>r1_group_2(X1,k8_group_4(X1,X2,X3),k8_group_4(X1,X3,X2))))), file('group_24/group_24__t11_group_24', t56_group_4)).
fof(t11_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>(r1_tarski(k7_group_4(X1,X2,X3),u1_struct_0(k8_group_4(X1,X2,X3)))&r1_tarski(k7_group_4(X1,X3,X2),u1_struct_0(k8_group_4(X1,X2,X3))))))), file('group_24/group_24__t11_group_24', t11_group_24)).
fof(dt_k8_group_4, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>(v15_algstr_0(k8_group_4(X1,X2,X3))&m1_group_2(k8_group_4(X1,X2,X3),X1))), file('group_24/group_24__t11_group_24', dt_k8_group_4)).
fof(redefinition_r1_group_2, axiom, ![X1, X2, X3]:((((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v15_algstr_0(X2))&m1_group_2(X2,X1))&v15_algstr_0(X3))&m1_group_2(X3,X1))=>(r1_group_2(X1,X2,X3)<=>X2=X3)), file('group_24/group_24__t11_group_24', redefinition_r1_group_2)).
fof(l12_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>r1_tarski(k7_group_4(X1,X2,X3),u1_struct_0(k8_group_4(X1,X2,X3)))))), file('group_24/group_24__t11_group_24', l12_group_24)).
fof(c_0_5, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>r1_group_2(X1,k8_group_4(X1,X2,X3),k8_group_4(X1,X3,X2))))), inference(fof_simplification,[status(thm)],[t56_group_4])).
fof(c_0_6, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>(r1_tarski(k7_group_4(X1,X2,X3),u1_struct_0(k8_group_4(X1,X2,X3)))&r1_tarski(k7_group_4(X1,X3,X2),u1_struct_0(k8_group_4(X1,X2,X3)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t11_group_24])])).
fof(c_0_7, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>(v15_algstr_0(k8_group_4(X1,X2,X3))&m1_group_2(k8_group_4(X1,X2,X3),X1))), inference(fof_simplification,[status(thm)],[dt_k8_group_4])).
fof(c_0_8, plain, ![X1, X2, X3]:((((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&v15_algstr_0(X2))&m1_group_2(X2,X1))&v15_algstr_0(X3))&m1_group_2(X3,X1))=>(r1_group_2(X1,X2,X3)<=>X2=X3)), inference(fof_simplification,[status(thm)],[redefinition_r1_group_2])).
fof(c_0_9, plain, ![X31, X32, X33]:(v2_struct_0(X31)|~v2_group_1(X31)|~v3_group_1(X31)|~l3_algstr_0(X31)|(~m1_group_2(X32,X31)|(~m1_group_2(X33,X31)|r1_group_2(X31,k8_group_4(X31,X32,X33),k8_group_4(X31,X33,X32))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
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_group_2(esk2_0,esk1_0)&(m1_group_2(esk3_0,esk1_0)&(~r1_tarski(k7_group_4(esk1_0,esk2_0,esk3_0),u1_struct_0(k8_group_4(esk1_0,esk2_0,esk3_0)))|~r1_tarski(k7_group_4(esk1_0,esk3_0,esk2_0),u1_struct_0(k8_group_4(esk1_0,esk2_0,esk3_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_11, plain, ![X22, X23, X24]:((v15_algstr_0(k8_group_4(X22,X23,X24))|(v2_struct_0(X22)|~v2_group_1(X22)|~v3_group_1(X22)|~l3_algstr_0(X22)|~m1_group_2(X23,X22)|~m1_group_2(X24,X22)))&(m1_group_2(k8_group_4(X22,X23,X24),X22)|(v2_struct_0(X22)|~v2_group_1(X22)|~v3_group_1(X22)|~l3_algstr_0(X22)|~m1_group_2(X23,X22)|~m1_group_2(X24,X22)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_12, plain, ![X28, X29, X30]:((~r1_group_2(X28,X29,X30)|X29=X30|(v2_struct_0(X28)|~v2_group_1(X28)|~v3_group_1(X28)|~l3_algstr_0(X28)|~v15_algstr_0(X29)|~m1_group_2(X29,X28)|~v15_algstr_0(X30)|~m1_group_2(X30,X28)))&(X29!=X30|r1_group_2(X28,X29,X30)|(v2_struct_0(X28)|~v2_group_1(X28)|~v3_group_1(X28)|~l3_algstr_0(X28)|~v15_algstr_0(X29)|~m1_group_2(X29,X28)|~v15_algstr_0(X30)|~m1_group_2(X30,X28)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_13, plain, (v2_struct_0(X1)|r1_group_2(X1,k8_group_4(X1,X2,X3),k8_group_4(X1,X3,X2))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, negated_conjecture, (m1_group_2(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_18, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_19, plain, (m1_group_2(k8_group_4(X1,X2,X3),X1)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_20, plain, (v15_algstr_0(k8_group_4(X1,X2,X3))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_21, plain, (X2=X3|v2_struct_0(X1)|~r1_group_2(X1,X2,X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v15_algstr_0(X2)|~m1_group_2(X2,X1)|~v15_algstr_0(X3)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_22, negated_conjecture, (r1_group_2(esk1_0,k8_group_4(esk1_0,X1,esk3_0),k8_group_4(esk1_0,esk3_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(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_23, negated_conjecture, (m1_group_2(k8_group_4(esk1_0,X1,esk3_0),esk1_0)|~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(spm,[status(thm)],[c_0_19, c_0_14]), c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_24, negated_conjecture, (v15_algstr_0(k8_group_4(esk1_0,X1,esk3_0))|~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(spm,[status(thm)],[c_0_20, c_0_14]), c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_25, negated_conjecture, (m1_group_2(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_26, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>r1_tarski(k7_group_4(X1,X2,X3),u1_struct_0(k8_group_4(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[l12_group_24])).
cnf(c_0_27, negated_conjecture, (k8_group_4(esk1_0,X1,esk3_0)=k8_group_4(esk1_0,esk3_0,X1)|~v15_algstr_0(k8_group_4(esk1_0,esk3_0,X1))|~m1_group_2(k8_group_4(esk1_0,esk3_0,X1),esk1_0)|~m1_group_2(X1,esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_15]), c_0_16]), c_0_17])]), c_0_18]), c_0_23]), c_0_24])).
cnf(c_0_28, negated_conjecture, (v15_algstr_0(k8_group_4(esk1_0,X1,esk2_0))|~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(spm,[status(thm)],[c_0_20, c_0_25]), c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
fof(c_0_29, plain, ![X25, X26, X27]:(v2_struct_0(X25)|~v2_group_1(X25)|~v3_group_1(X25)|~l3_algstr_0(X25)|(~m1_group_2(X26,X25)|(~m1_group_2(X27,X25)|r1_tarski(k7_group_4(X25,X26,X27),u1_struct_0(k8_group_4(X25,X26,X27)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
cnf(c_0_30, negated_conjecture, (k8_group_4(esk1_0,esk3_0,esk2_0)=k8_group_4(esk1_0,esk2_0,esk3_0)|~m1_group_2(k8_group_4(esk1_0,esk3_0,esk2_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_25]), c_0_14])])).
cnf(c_0_31, negated_conjecture, (m1_group_2(k8_group_4(esk1_0,X1,esk2_0),esk1_0)|~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(spm,[status(thm)],[c_0_19, c_0_25]), c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_32, plain, (v2_struct_0(X1)|r1_tarski(k7_group_4(X1,X2,X3),u1_struct_0(k8_group_4(X1,X2,X3)))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_33, negated_conjecture, (k8_group_4(esk1_0,esk3_0,esk2_0)=k8_group_4(esk1_0,esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_14])])).
cnf(c_0_34, negated_conjecture, (~r1_tarski(k7_group_4(esk1_0,esk2_0,esk3_0),u1_struct_0(k8_group_4(esk1_0,esk2_0,esk3_0)))|~r1_tarski(k7_group_4(esk1_0,esk3_0,esk2_0),u1_struct_0(k8_group_4(esk1_0,esk2_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_35, negated_conjecture, (r1_tarski(k7_group_4(esk1_0,esk3_0,esk2_0),u1_struct_0(k8_group_4(esk1_0,esk2_0,esk3_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_25]), c_0_14]), c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_36, negated_conjecture, (~r1_tarski(k7_group_4(esk1_0,esk2_0,esk3_0),u1_struct_0(k8_group_4(esk1_0,esk2_0,esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
cnf(c_0_37, negated_conjecture, (r1_tarski(k7_group_4(esk1_0,X1,esk3_0),u1_struct_0(k8_group_4(esk1_0,X1,esk3_0)))|~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(spm,[status(thm)],[c_0_32, c_0_14]), c_0_15]), c_0_16]), c_0_17])]), c_0_18])).
cnf(c_0_38, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_25])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 39
# Proof object clause steps            : 24
# Proof object formula steps           : 15
# Proof object conjectures             : 22
# Proof object clause conjectures      : 19
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 12
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 53
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 13
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 13
# Processed clauses                    : 59
# ...of these trivial                  : 1
# ...subsumed                          : 0
# ...remaining for further processing  : 58
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 2
# Generated clauses                    : 72
# ...of the previous two non-trivial   : 72
# Contextual simplify-reflections      : 5
# Paramodulations                      : 71
# 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  : 42
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 31
# Current number of unprocessed clauses: 39
# ...number of literals in the above   : 132
# Current number of archived formulas  : 0
# Current number of archived clauses   : 15
# Clause-clause subsumption calls (NU) : 547
# Rec. Clause-clause subsumption calls : 402
# Non-unit clause-clause subsumptions  : 5
# Unit Clause-clause subsumption calls : 51
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4517

# -------------------------------------------------
# User time                : 0.026 s
# System time              : 0.000 s
# Total time               : 0.026 s
# Maximum resident set size: 3020 pages
