# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.021 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d14_pralg_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v2_pralg_1(X1))=>![X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(X2=k13_pralg_1(X1)<=>(k9_xtuple_0(X2)=k9_xtuple_0(X1)&![X3]:~((r2_tarski(X3,k9_xtuple_0(X1))&![X4]:(l1_struct_0(X4)=>~((X4=k1_funct_1(X1,X3)&k1_funct_1(X2,X3)=u1_struct_0(X4)))))))))), file('gr_free0/gr_free0__t7_gr_free0', d14_pralg_1)).
fof(dt_k13_pralg_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v2_pralg_1(X1))=>(v1_relat_1(k13_pralg_1(X1))&v1_funct_1(k13_pralg_1(X1)))), file('gr_free0/gr_free0__t7_gr_free0', dt_k13_pralg_1)).
fof(redefinition_k10_pralg_1, axiom, ![X1, X2]:(((((v1_relat_1(X1)&v1_funct_1(X1))&~(v1_xboole_0(X1)))&v2_pralg_1(X1))&m1_subset_1(X2,k9_xtuple_0(X1)))=>k10_pralg_1(X1,X2)=k1_funct_1(X1,X2)), file('gr_free0/gr_free0__t7_gr_free0', redefinition_k10_pralg_1)).
fof(t7_gr_free0, conjecture, ![X1, X2]:((((v1_relat_1(X2)&v1_funct_1(X2))&~(v1_xboole_0(X2)))&v1_group_7(X2))=>![X3]:(m1_subset_1(X3,k9_xtuple_0(X2))=>(r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X2))<=>r2_hidden(X1,u1_struct_0(k10_pralg_1(X2,X3)))))), file('gr_free0/gr_free0__t7_gr_free0', t7_gr_free0)).
fof(t6_gr_free0, axiom, ![X1, X2, X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_group_7(X3))=>(r2_hidden(k4_tarski(X1,X2),k1_gr_free0(X3))<=>(r2_hidden(X1,k9_xtuple_0(X3))&r2_hidden(X2,k1_funct_1(k13_pralg_1(X3),X1))))), file('gr_free0/gr_free0__t7_gr_free0', t6_gr_free0)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t7_gr_free0', redefinition_r2_tarski)).
fof(fc8_relat_1, axiom, ![X1]:((~(v1_xboole_0(X1))&v1_relat_1(X1))=>~(v1_xboole_0(k9_xtuple_0(X1)))), file('gr_free0/gr_free0__t7_gr_free0', fc8_relat_1)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('gr_free0/gr_free0__t7_gr_free0', t2_subset)).
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('gr_free0/gr_free0__t7_gr_free0', cc1_group_7)).
fof(c_0_9, plain, ![X28, X29, X30, X33]:(((k9_xtuple_0(X29)=k9_xtuple_0(X28)|X29!=k13_pralg_1(X28)|(~v1_relat_1(X29)|~v1_funct_1(X29))|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v2_pralg_1(X28)))&((l1_struct_0(esk4_3(X28,X29,X30))|~r2_tarski(X30,k9_xtuple_0(X28))|X29!=k13_pralg_1(X28)|(~v1_relat_1(X29)|~v1_funct_1(X29))|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v2_pralg_1(X28)))&((esk4_3(X28,X29,X30)=k1_funct_1(X28,X30)|~r2_tarski(X30,k9_xtuple_0(X28))|X29!=k13_pralg_1(X28)|(~v1_relat_1(X29)|~v1_funct_1(X29))|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v2_pralg_1(X28)))&(k1_funct_1(X29,X30)=u1_struct_0(esk4_3(X28,X29,X30))|~r2_tarski(X30,k9_xtuple_0(X28))|X29!=k13_pralg_1(X28)|(~v1_relat_1(X29)|~v1_funct_1(X29))|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v2_pralg_1(X28))))))&((r2_tarski(esk5_2(X28,X29),k9_xtuple_0(X28))|k9_xtuple_0(X29)!=k9_xtuple_0(X28)|X29=k13_pralg_1(X28)|(~v1_relat_1(X29)|~v1_funct_1(X29))|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v2_pralg_1(X28)))&(~l1_struct_0(X33)|(X33!=k1_funct_1(X28,esk5_2(X28,X29))|k1_funct_1(X29,esk5_2(X28,X29))!=u1_struct_0(X33))|k9_xtuple_0(X29)!=k9_xtuple_0(X28)|X29=k13_pralg_1(X28)|(~v1_relat_1(X29)|~v1_funct_1(X29))|(~v1_relat_1(X28)|~v1_funct_1(X28)|~v2_pralg_1(X28))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_pralg_1])])])])])).
fof(c_0_10, plain, ![X34]:((v1_relat_1(k13_pralg_1(X34))|(~v1_relat_1(X34)|~v1_funct_1(X34)|~v2_pralg_1(X34)))&(v1_funct_1(k13_pralg_1(X34))|(~v1_relat_1(X34)|~v1_funct_1(X34)|~v2_pralg_1(X34)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k13_pralg_1])])])).
fof(c_0_11, plain, ![X1, X2]:(((((v1_relat_1(X1)&v1_funct_1(X1))&~v1_xboole_0(X1))&v2_pralg_1(X1))&m1_subset_1(X2,k9_xtuple_0(X1)))=>k10_pralg_1(X1,X2)=k1_funct_1(X1,X2)), inference(fof_simplification,[status(thm)],[redefinition_k10_pralg_1])).
fof(c_0_12, negated_conjecture, ~(![X1, X2]:((((v1_relat_1(X2)&v1_funct_1(X2))&~v1_xboole_0(X2))&v1_group_7(X2))=>![X3]:(m1_subset_1(X3,k9_xtuple_0(X2))=>(r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X2))<=>r2_hidden(X1,u1_struct_0(k10_pralg_1(X2,X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_gr_free0])])).
cnf(c_0_13, plain, (k1_funct_1(X1,X2)=u1_struct_0(esk4_3(X3,X1,X2))|~r2_tarski(X2,k9_xtuple_0(X3))|X1!=k13_pralg_1(X3)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v2_pralg_1(X3)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, plain, (v1_relat_1(k13_pralg_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_pralg_1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, plain, (v1_funct_1(k13_pralg_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_pralg_1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, plain, (esk4_3(X1,X2,X3)=k1_funct_1(X1,X3)|~r2_tarski(X3,k9_xtuple_0(X1))|X2!=k13_pralg_1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_pralg_1(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_17, plain, ![X36, X37]:(~v1_relat_1(X36)|~v1_funct_1(X36)|v1_xboole_0(X36)|~v2_pralg_1(X36)|~m1_subset_1(X37,k9_xtuple_0(X36))|k10_pralg_1(X36,X37)=k1_funct_1(X36,X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])).
fof(c_0_18, negated_conjecture, ((((v1_relat_1(esk2_0)&v1_funct_1(esk2_0))&~v1_xboole_0(esk2_0))&v1_group_7(esk2_0))&(m1_subset_1(esk3_0,k9_xtuple_0(esk2_0))&((~r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk2_0))|~r2_hidden(esk1_0,u1_struct_0(k10_pralg_1(esk2_0,esk3_0))))&(r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk2_0))|r2_hidden(esk1_0,u1_struct_0(k10_pralg_1(esk2_0,esk3_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
fof(c_0_19, plain, ![X42, X43, X44]:(((r2_hidden(X42,k9_xtuple_0(X44))|~r2_hidden(k4_tarski(X42,X43),k1_gr_free0(X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_group_7(X44)))&(r2_hidden(X43,k1_funct_1(k13_pralg_1(X44),X42))|~r2_hidden(k4_tarski(X42,X43),k1_gr_free0(X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_group_7(X44))))&(~r2_hidden(X42,k9_xtuple_0(X44))|~r2_hidden(X43,k1_funct_1(k13_pralg_1(X44),X42))|r2_hidden(k4_tarski(X42,X43),k1_gr_free0(X44))|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_group_7(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_gr_free0])])])).
cnf(c_0_20, plain, (u1_struct_0(esk4_3(X1,k13_pralg_1(X1),X2))=k1_funct_1(k13_pralg_1(X1),X2)|~r2_tarski(X2,k9_xtuple_0(X1))|~v2_pralg_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_13]), c_0_14]), c_0_15])).
cnf(c_0_21, plain, (esk4_3(X1,k13_pralg_1(X1),X2)=k1_funct_1(X1,X2)|~r2_tarski(X2,k9_xtuple_0(X1))|~v2_pralg_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]), c_0_14]), c_0_15])).
cnf(c_0_22, plain, (v1_xboole_0(X1)|k10_pralg_1(X1,X2)=k1_funct_1(X1,X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_pralg_1(X1)|~m1_subset_1(X2,k9_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_23, negated_conjecture, (m1_subset_1(esk3_0,k9_xtuple_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, negated_conjecture, (~v1_xboole_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (~r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk2_0))|~r2_hidden(esk1_0,u1_struct_0(k10_pralg_1(esk2_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, plain, (r2_hidden(k4_tarski(X1,X3),k1_gr_free0(X2))|~r2_hidden(X1,k9_xtuple_0(X2))|~r2_hidden(X3,k1_funct_1(k13_pralg_1(X2),X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_29, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_30, plain, (u1_struct_0(k1_funct_1(X1,X2))=k1_funct_1(k13_pralg_1(X1),X2)|~r2_tarski(X2,k9_xtuple_0(X1))|~v2_pralg_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_31, negated_conjecture, (k1_funct_1(esk2_0,esk3_0)=k10_pralg_1(esk2_0,esk3_0)|~v2_pralg_1(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_25])]), c_0_26])).
fof(c_0_32, plain, ![X38, X39]:((~r2_tarski(X38,X39)|r2_hidden(X38,X39))&(~r2_hidden(X38,X39)|r2_tarski(X38,X39))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_33, plain, (r2_hidden(X1,k1_funct_1(k13_pralg_1(X2),X3))|~r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X2))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_34, negated_conjecture, (r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk2_0))|r2_hidden(esk1_0,u1_struct_0(k10_pralg_1(esk2_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_35, negated_conjecture, (~r2_hidden(esk1_0,u1_struct_0(k10_pralg_1(esk2_0,esk3_0)))|~r2_hidden(esk1_0,k1_funct_1(k13_pralg_1(esk2_0),esk3_0))|~r2_hidden(esk3_0,k9_xtuple_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29]), c_0_24]), c_0_25])])).
cnf(c_0_36, negated_conjecture, (u1_struct_0(k10_pralg_1(esk2_0,esk3_0))=k1_funct_1(k13_pralg_1(esk2_0),esk3_0)|~r2_tarski(esk3_0,k9_xtuple_0(esk2_0))|~v2_pralg_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_24]), c_0_25])])).
cnf(c_0_37, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_38, plain, ![X1]:((~v1_xboole_0(X1)&v1_relat_1(X1))=>~v1_xboole_0(k9_xtuple_0(X1))), inference(fof_simplification,[status(thm)],[fc8_relat_1])).
cnf(c_0_39, negated_conjecture, (r2_hidden(esk1_0,u1_struct_0(k10_pralg_1(esk2_0,esk3_0)))|r2_hidden(esk1_0,k1_funct_1(k13_pralg_1(esk2_0),esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_29]), c_0_24]), c_0_25])])).
cnf(c_0_40, negated_conjecture, (~r2_tarski(esk3_0,k9_xtuple_0(esk2_0))|~v2_pralg_1(esk2_0)|~r2_hidden(esk1_0,k1_funct_1(k13_pralg_1(esk2_0),esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])).
fof(c_0_41, plain, ![X40, X41]:(~m1_subset_1(X40,X41)|(v1_xboole_0(X41)|r2_tarski(X40,X41))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_42, plain, ![X35]:(v1_xboole_0(X35)|~v1_relat_1(X35)|~v1_xboole_0(k9_xtuple_0(X35))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])).
cnf(c_0_43, negated_conjecture, (~r2_tarski(esk3_0,k9_xtuple_0(esk2_0))|~v2_pralg_1(esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_36]), c_0_40])).
cnf(c_0_44, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_45, plain, (v1_xboole_0(X1)|~v1_relat_1(X1)|~v1_xboole_0(k9_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_46, negated_conjecture, (v1_xboole_0(k9_xtuple_0(esk2_0))|~v2_pralg_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_23])])).
fof(c_0_47, plain, ![X27]:(((v1_relat_1(X27)|(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_group_7(X27)))&(v1_funct_1(X27)|(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_group_7(X27))))&(v2_pralg_1(X27)|(~v1_relat_1(X27)|~v1_funct_1(X27)|~v1_group_7(X27)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_group_7])])])).
cnf(c_0_48, negated_conjecture, (~v2_pralg_1(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_25])]), c_0_26])).
cnf(c_0_49, plain, (v2_pralg_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_50, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_29]), c_0_24]), c_0_25])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 51
# Proof object clause steps            : 30
# Proof object formula steps           : 21
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 18
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 32
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 26
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 24
# Processed clauses                    : 57
# ...of these trivial                  : 0
# ...subsumed                          : 2
# ...remaining for further processing  : 55
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 5
# Backward-rewritten                   : 0
# Generated clauses                    : 55
# ...of the previous two non-trivial   : 48
# Contextual simplify-reflections      : 11
# Paramodulations                      : 50
# 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  : 45
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 39
# Current number of unprocessed clauses: 15
# ...number of literals in the above   : 108
# Current number of archived formulas  : 0
# Current number of archived clauses   : 5
# Clause-clause subsumption calls (NU) : 494
# Rec. Clause-clause subsumption calls : 82
# Non-unit clause-clause subsumptions  : 18
# Unit Clause-clause subsumption calls : 18
# 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          : 3603

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.002 s
# Total time               : 0.026 s
# Maximum resident set size: 3512 pages
