# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d5_surrealn, axiom, ![X1]:((((v1_relat_1(X1)&v4_relat_1(X1,k2_surrealn))&v1_funct_1(X1))&v1_partfun1(X1,k2_surrealn))=>(X1=k4_surrealn<=>![X2]:(v1_int_1(X2)=>![X3]:(v1_int_1(X3)=>![X4]:(v7_ordinal1(X4)=>(k1_funct_1(X1,X2)=k1_funct_1(k1_surrealn,X2)&k1_funct_1(X1,k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(np__2,X3),np__1),k1_newton(np__2,k2_xcmplx_0(X4,np__1))))=k4_tarski(k1_tarski(k1_funct_1(X1,k7_xcmplx_0(X3,k1_newton(np__2,X4)))),k1_tarski(k1_funct_1(X1,k7_xcmplx_0(k2_xcmplx_0(X3,np__1),k1_newton(np__2,X4))))))))))), file('surrealn/surrealn__t47_surrealn', d5_surrealn)).
fof(dt_k4_surrealn, axiom, (((v1_relat_1(k4_surrealn)&v4_relat_1(k4_surrealn,k2_surrealn))&v1_funct_1(k4_surrealn))&v1_partfun1(k4_surrealn,k2_surrealn)), file('surrealn/surrealn__t47_surrealn', dt_k4_surrealn)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('surrealn/surrealn__t47_surrealn', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('surrealn/surrealn__t47_surrealn', redefinition_k5_numbers)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('surrealn/surrealn__t47_surrealn', cc2_int_1)).
fof(t46_surrealn, axiom, ![X1]:((v1_rat_1(X1)&v1_surrealn(X1))=>(r2_surrealo(k1_funct_1(k5_surrealn,X1),k1_funct_1(k4_surrealn,X1))&k1_funct_1(k4_surrealn,X1)=k1_funct_1(k6_surrealn,X1))), file('surrealn/surrealn__t47_surrealn', t46_surrealn)).
fof(cc2_rat_1, axiom, ![X1]:(v1_int_1(X1)=>v1_rat_1(X1)), file('surrealn/surrealn__t47_surrealn', cc2_rat_1)).
fof(cc1_surrealn, axiom, ![X1]:(v1_int_1(X1)=>(v1_int_1(X1)&v1_surrealn(X1))), file('surrealn/surrealn__t47_surrealn', cc1_surrealn)).
fof(d1_surrealn, axiom, ![X1]:((((v1_relat_1(X1)&v4_relat_1(X1,k4_numbers))&v1_funct_1(X1))&v1_partfun1(X1,k4_numbers))=>(X1=k1_surrealn<=>![X2]:(v7_ordinal1(X2)=>((k1_funct_1(X1,k5_numbers)=k11_surreal0&k1_funct_1(X1,k2_xcmplx_0(X2,np__1))=k4_tarski(k1_tarski(k1_funct_1(X1,X2)),k1_xboole_0))&k1_funct_1(X1,k4_xcmplx_0(k2_xcmplx_0(X2,np__1)))=k4_tarski(k1_xboole_0,k1_tarski(k1_funct_1(X1,k4_xcmplx_0(X2)))))))), file('surrealn/surrealn__t47_surrealn', d1_surrealn)).
fof(dt_k1_surrealn, axiom, (((v1_relat_1(k1_surrealn)&v4_relat_1(k1_surrealn,k4_numbers))&v1_funct_1(k1_surrealn))&v1_partfun1(k1_surrealn,k4_numbers)), file('surrealn/surrealn__t47_surrealn', dt_k1_surrealn)).
fof(t47_surrealn, conjecture, k1_funct_1(k6_surrealn,k5_numbers)=k11_surreal0, file('surrealn/surrealn__t47_surrealn', t47_surrealn)).
fof(c_0_11, plain, ![X21, X22, X23, X24]:(((k1_funct_1(X21,X22)=k1_funct_1(k1_surrealn,X22)|~v7_ordinal1(X24)|~v1_int_1(X23)|~v1_int_1(X22)|X21!=k4_surrealn|(~v1_relat_1(X21)|~v4_relat_1(X21,k2_surrealn)|~v1_funct_1(X21)|~v1_partfun1(X21,k2_surrealn)))&(k1_funct_1(X21,k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(np__2,X23),np__1),k1_newton(np__2,k2_xcmplx_0(X24,np__1))))=k4_tarski(k1_tarski(k1_funct_1(X21,k7_xcmplx_0(X23,k1_newton(np__2,X24)))),k1_tarski(k1_funct_1(X21,k7_xcmplx_0(k2_xcmplx_0(X23,np__1),k1_newton(np__2,X24)))))|~v7_ordinal1(X24)|~v1_int_1(X23)|~v1_int_1(X22)|X21!=k4_surrealn|(~v1_relat_1(X21)|~v4_relat_1(X21,k2_surrealn)|~v1_funct_1(X21)|~v1_partfun1(X21,k2_surrealn))))&((v1_int_1(esk2_1(X21))|X21=k4_surrealn|(~v1_relat_1(X21)|~v4_relat_1(X21,k2_surrealn)|~v1_funct_1(X21)|~v1_partfun1(X21,k2_surrealn)))&((v1_int_1(esk3_1(X21))|X21=k4_surrealn|(~v1_relat_1(X21)|~v4_relat_1(X21,k2_surrealn)|~v1_funct_1(X21)|~v1_partfun1(X21,k2_surrealn)))&((v7_ordinal1(esk4_1(X21))|X21=k4_surrealn|(~v1_relat_1(X21)|~v4_relat_1(X21,k2_surrealn)|~v1_funct_1(X21)|~v1_partfun1(X21,k2_surrealn)))&(k1_funct_1(X21,esk2_1(X21))!=k1_funct_1(k1_surrealn,esk2_1(X21))|k1_funct_1(X21,k7_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(np__2,esk3_1(X21)),np__1),k1_newton(np__2,k2_xcmplx_0(esk4_1(X21),np__1))))!=k4_tarski(k1_tarski(k1_funct_1(X21,k7_xcmplx_0(esk3_1(X21),k1_newton(np__2,esk4_1(X21))))),k1_tarski(k1_funct_1(X21,k7_xcmplx_0(k2_xcmplx_0(esk3_1(X21),np__1),k1_newton(np__2,esk4_1(X21))))))|X21=k4_surrealn|(~v1_relat_1(X21)|~v4_relat_1(X21,k2_surrealn)|~v1_funct_1(X21)|~v1_partfun1(X21,k2_surrealn))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_surrealn])])])])])).
cnf(c_0_12, plain, (k1_funct_1(X1,X2)=k1_funct_1(k1_surrealn,X2)|~v7_ordinal1(X3)|~v1_int_1(X4)|~v1_int_1(X2)|X1!=k4_surrealn|~v1_relat_1(X1)|~v4_relat_1(X1,k2_surrealn)|~v1_funct_1(X1)|~v1_partfun1(X1,k2_surrealn)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_13, plain, (v1_partfun1(k4_surrealn,k2_surrealn)), inference(split_conjunct,[status(thm)],[dt_k4_surrealn])).
cnf(c_0_14, plain, (v1_funct_1(k4_surrealn)), inference(split_conjunct,[status(thm)],[dt_k4_surrealn])).
cnf(c_0_15, plain, (v4_relat_1(k4_surrealn,k2_surrealn)), inference(split_conjunct,[status(thm)],[dt_k4_surrealn])).
cnf(c_0_16, plain, (v1_relat_1(k4_surrealn)), inference(split_conjunct,[status(thm)],[dt_k4_surrealn])).
cnf(c_0_17, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_18, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_19, plain, (k1_funct_1(k1_surrealn,X1)=k1_funct_1(k4_surrealn,X1)|~v7_ordinal1(X2)|~v1_int_1(X3)|~v1_int_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16])])).
cnf(c_0_20, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_17, c_0_18])).
fof(c_0_21, plain, ![X16]:(~v7_ordinal1(X16)|v1_int_1(X16)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
fof(c_0_22, plain, ![X28]:((r2_surrealo(k1_funct_1(k5_surrealn,X28),k1_funct_1(k4_surrealn,X28))|(~v1_rat_1(X28)|~v1_surrealn(X28)))&(k1_funct_1(k4_surrealn,X28)=k1_funct_1(k6_surrealn,X28)|(~v1_rat_1(X28)|~v1_surrealn(X28)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_surrealn])])])).
fof(c_0_23, plain, ![X17]:(~v1_int_1(X17)|v1_rat_1(X17)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_rat_1])])).
fof(c_0_24, plain, ![X15]:((v1_int_1(X15)|~v1_int_1(X15))&(v1_surrealn(X15)|~v1_int_1(X15))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_surrealn])])])).
cnf(c_0_25, plain, (k1_funct_1(k1_surrealn,X1)=k1_funct_1(k4_surrealn,X1)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_26, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_27, plain, ![X18, X19]:((((k1_funct_1(X18,k5_numbers)=k11_surreal0|~v7_ordinal1(X19)|X18!=k1_surrealn|(~v1_relat_1(X18)|~v4_relat_1(X18,k4_numbers)|~v1_funct_1(X18)|~v1_partfun1(X18,k4_numbers)))&(k1_funct_1(X18,k2_xcmplx_0(X19,np__1))=k4_tarski(k1_tarski(k1_funct_1(X18,X19)),k1_xboole_0)|~v7_ordinal1(X19)|X18!=k1_surrealn|(~v1_relat_1(X18)|~v4_relat_1(X18,k4_numbers)|~v1_funct_1(X18)|~v1_partfun1(X18,k4_numbers))))&(k1_funct_1(X18,k4_xcmplx_0(k2_xcmplx_0(X19,np__1)))=k4_tarski(k1_xboole_0,k1_tarski(k1_funct_1(X18,k4_xcmplx_0(X19))))|~v7_ordinal1(X19)|X18!=k1_surrealn|(~v1_relat_1(X18)|~v4_relat_1(X18,k4_numbers)|~v1_funct_1(X18)|~v1_partfun1(X18,k4_numbers))))&((v7_ordinal1(esk1_1(X18))|X18=k1_surrealn|(~v1_relat_1(X18)|~v4_relat_1(X18,k4_numbers)|~v1_funct_1(X18)|~v1_partfun1(X18,k4_numbers)))&(k1_funct_1(X18,k5_numbers)!=k11_surreal0|k1_funct_1(X18,k2_xcmplx_0(esk1_1(X18),np__1))!=k4_tarski(k1_tarski(k1_funct_1(X18,esk1_1(X18))),k1_xboole_0)|k1_funct_1(X18,k4_xcmplx_0(k2_xcmplx_0(esk1_1(X18),np__1)))!=k4_tarski(k1_xboole_0,k1_tarski(k1_funct_1(X18,k4_xcmplx_0(esk1_1(X18)))))|X18=k1_surrealn|(~v1_relat_1(X18)|~v4_relat_1(X18,k4_numbers)|~v1_funct_1(X18)|~v1_partfun1(X18,k4_numbers))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_surrealn])])])])])).
cnf(c_0_28, plain, (k1_funct_1(k4_surrealn,X1)=k1_funct_1(k6_surrealn,X1)|~v1_rat_1(X1)|~v1_surrealn(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_29, plain, (v1_rat_1(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_30, plain, (v1_surrealn(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, plain, (k1_funct_1(k1_surrealn,X1)=k1_funct_1(k4_surrealn,X1)|~v7_ordinal1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_32, plain, (k1_funct_1(X1,k5_numbers)=k11_surreal0|~v7_ordinal1(X2)|X1!=k1_surrealn|~v1_relat_1(X1)|~v4_relat_1(X1,k4_numbers)|~v1_funct_1(X1)|~v1_partfun1(X1,k4_numbers)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_33, plain, (v1_partfun1(k1_surrealn,k4_numbers)), inference(split_conjunct,[status(thm)],[dt_k1_surrealn])).
cnf(c_0_34, plain, (v1_funct_1(k1_surrealn)), inference(split_conjunct,[status(thm)],[dt_k1_surrealn])).
cnf(c_0_35, plain, (v4_relat_1(k1_surrealn,k4_numbers)), inference(split_conjunct,[status(thm)],[dt_k1_surrealn])).
cnf(c_0_36, plain, (v1_relat_1(k1_surrealn)), inference(split_conjunct,[status(thm)],[dt_k1_surrealn])).
cnf(c_0_37, plain, (k1_funct_1(k4_surrealn,X1)=k1_funct_1(k6_surrealn,X1)|~v1_int_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])).
cnf(c_0_38, plain, (k1_funct_1(k1_surrealn,X1)=k1_funct_1(k4_surrealn,X1)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_31, c_0_20])).
cnf(c_0_39, plain, (k1_funct_1(k1_surrealn,k5_numbers)=k11_surreal0|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_40, plain, (k1_funct_1(k4_surrealn,X1)=k1_funct_1(k6_surrealn,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_37, c_0_26])).
fof(c_0_41, negated_conjecture, k1_funct_1(k6_surrealn,k5_numbers)!=k11_surreal0, inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t47_surrealn])])).
cnf(c_0_42, plain, (k1_funct_1(k1_surrealn,X1)=k1_funct_1(k4_surrealn,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_38, c_0_26])).
cnf(c_0_43, plain, (k1_funct_1(k1_surrealn,k5_numbers)=k11_surreal0), inference(spm,[status(thm)],[c_0_39, c_0_20])).
cnf(c_0_44, plain, (k1_funct_1(k4_surrealn,k5_numbers)=k1_funct_1(k6_surrealn,k5_numbers)), inference(spm,[status(thm)],[c_0_40, c_0_20])).
cnf(c_0_45, negated_conjecture, (k1_funct_1(k6_surrealn,k5_numbers)!=k11_surreal0), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_46, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_20]), c_0_43]), c_0_44]), c_0_45]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 47
# Proof object clause steps            : 29
# Proof object formula steps           : 18
# Proof object conjectures             : 3
# Proof object clause conjectures      : 1
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 17
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 28
# Processed clauses                    : 68
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 68
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 1
# Generated clauses                    : 16
# ...of the previous two non-trivial   : 15
# Contextual simplify-reflections      : 1
# Paramodulations                      : 11
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 31
#    Positive orientable unit clauses  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 16
# Current number of unprocessed clauses: 3
# ...number of literals in the above   : 14
# Current number of archived formulas  : 0
# Current number of archived clauses   : 32
# Clause-clause subsumption calls (NU) : 571
# Rec. Clause-clause subsumption calls : 89
# Non-unit clause-clause subsumptions  : 4
# Unit Clause-clause subsumption calls : 21
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3102

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.000 s
# Total time               : 0.024 s
# Maximum resident set size: 3452 pages
