0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.10/0.30 % Computer : n009.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % WCLimit : 120 0.10/0.30 % DateTime : Thu Jul 2 08:51:06 EDT 2020 0.10/0.31 % CPUTime : 0.10/0.31 # Version: 2.5pre002 0.15/0.33 # No SInE strategy applied 0.15/0.33 # Trying AutoSched0 for 59 seconds 9.78/9.98 # AutoSched0-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y 9.78/9.98 # and selection function SelectMaxLComplexAvoidPosPred. 9.78/9.98 # 9.78/9.98 # Preprocessing time : 0.077 s 9.78/9.98 # Presaturation interreduction done 9.78/9.98 9.78/9.98 # Proof found! 9.78/9.98 # SZS status Theorem 9.78/9.98 # SZS output start CNFRefutation 9.78/9.98 fof(fact_insert__code, axiom, ![X10, X8, X19, X5]:((hBOOL(hAPP(X8,X10))|X10=X19)<=>hBOOL(hAPP(c_Set_Oinsert(X5,X19,X8),X10))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_insert__code)). 9.78/9.98 fof(fact_insert__absorb, axiom, ![X8, X4, X5]:(c_member(X5,X4,X8)=>X8=c_Set_Oinsert(X5,X4,X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_insert__absorb)). 9.78/9.98 fof(fact_mem__def, axiom, ![X8, X10, X5]:(hBOOL(hAPP(X8,X10))<=>c_member(X5,X10,X8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_mem__def)). 9.78/9.98 fof(conj_3, hypothesis, (((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P)))<=![X26]:((c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X26))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X26)))&c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X26)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_3)). 9.78/9.98 fof(conj_1, hypothesis, ![X26]:((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X26))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X26)))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X26))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)). 9.78/9.98 fof(fact_irrefl__def, axiom, ![X2, X5]:(![X26]:~(c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X26,X26),X2))<=>c_Relation_Oirrefl(X5,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_irrefl__def)). 9.78/9.98 fof(conj_2, hypothesis, c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_2)). 9.78/9.98 fof(fact_trancl__id, axiom, ![X2, X5]:(c_Transitive__Closure_Otrancl(X5,X2)=X2<=c_Relation_Otrans(X5,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_trancl__id)). 9.78/9.98 fof(fact_r__r__into__trancl, axiom, ![X1, X21, X3, X4, X5]:((c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X1),X21)=>c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X4,X1),c_Transitive__Closure_Otrancl(X5,X21)))<=c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X4,X3),X21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_r__r__into__trancl)). 9.78/9.98 fof(conj_0, hypothesis, ![X47]:(![X26]:((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X47,X26))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X47,X26)))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X47,X26)))=>![X48, X49]:(X49!=X48=>(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X48,X49),hAPP(X47,v_i))=>c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X48,X49),v_F(X47))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 9.78/9.98 fof(fact_top1I, axiom, ![X10, X5]:hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)),X10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_top1I)). 9.78/9.98 fof(fact_total__on__def, axiom, ![X2, X8, X5]:(c_Relation_Ototal__on(X5,X8,X2)<=>![X26]:(c_member(X5,X26,X8)=>![X54]:((X26!=X54=>(c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X54,X26),X2)|c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X26,X54),X2)))<=c_member(X5,X54,X8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_total__on__def)). 9.78/9.98 fof(conj_4, conjecture, c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_4)). 9.78/9.98 fof(fact_acyclicI, axiom, ![X2, X5]:(c_Wellfounded_Oacyclic(X5,X2)<=![X26]:~(c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X26,X26),c_Transitive__Closure_Otrancl(X5,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_acyclicI)). 9.78/9.98 fof(fact_in__rel__def, axiom, ![X19, X10, X21, X6, X5]:(c_member(tc_prod(X5,X6),c_Product__Type_OPair(X5,X6,X10,X19),X21)<=>c_FunDef_Oin__rel(X5,X6,X21,X10,X19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_in__rel__def)). 9.78/9.98 fof(fact_acyclic__def, axiom, ![X2, X5]:(![X26]:~(c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X26,X26),c_Transitive__Closure_Otrancl(X5,X2)))<=>c_Wellfounded_Oacyclic(X5,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_acyclic__def)). 9.78/9.98 fof(c_0_16, plain, ![X1947, X1948, X1949, X1950]:(((~hBOOL(hAPP(X1948,X1947))|hBOOL(hAPP(c_Set_Oinsert(X1950,X1949,X1948),X1947)))&(X1947!=X1949|hBOOL(hAPP(c_Set_Oinsert(X1950,X1949,X1948),X1947))))&(~hBOOL(hAPP(c_Set_Oinsert(X1950,X1949,X1948),X1947))|(hBOOL(hAPP(X1948,X1947))|X1947=X1949))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__code])])])). 9.78/9.98 cnf(c_0_17, plain, (hBOOL(hAPP(c_Set_Oinsert(X3,X2,X4),X1))|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_16])). 9.78/9.98 fof(c_0_18, plain, ![X1661, X1662, X1663]:(~c_member(X1663,X1662,X1661)|X1661=c_Set_Oinsert(X1663,X1662,X1661)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__absorb])])). 9.78/9.98 fof(c_0_19, plain, ![X2020, X2021, X2022]:((~hBOOL(hAPP(X2020,X2021))|c_member(X2022,X2021,X2020))&(~c_member(X2022,X2021,X2020)|hBOOL(hAPP(X2020,X2021)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])). 9.78/9.98 cnf(c_0_20, plain, (hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X2))), inference(er,[status(thm)],[c_0_17])). 9.78/9.98 cnf(c_0_21, plain, (X3=c_Set_Oinsert(X1,X2,X3)|~c_member(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_18])). 9.78/9.98 fof(c_0_22, hypothesis, (((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|(~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk69_0))|~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))))&(c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|(~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk69_0))|~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0)))))&(c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(v_P))|(~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk69_0))|~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[conj_3])])])])])). 9.78/9.98 fof(c_0_23, hypothesis, ![X279]:((c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X279))&c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X279)))&c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X279))), inference(variable_rename,[status(thm)],[conj_1])). 9.78/9.98 fof(c_0_24, plain, ![X1046, X1047, X1049, X1050, X1051]:((c_member(tc_prod(X1047,X1047),c_Product__Type_OPair(X1047,X1047,esk48_2(X1046,X1047),esk48_2(X1046,X1047)),X1046)|c_Relation_Oirrefl(X1047,X1046))&(~c_Relation_Oirrefl(X1050,X1049)|~c_member(tc_prod(X1050,X1050),c_Product__Type_OPair(X1050,X1050,X1051,X1051),X1049))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_irrefl__def])])])])])])). 9.78/9.98 cnf(c_0_25, plain, (c_member(X3,X2,X1)|~hBOOL(hAPP(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_19])). 9.78/9.98 cnf(c_0_26, plain, (hBOOL(hAPP(X1,X2))|~c_member(X3,X2,X1)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 9.78/9.98 cnf(c_0_27, hypothesis, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P))), inference(split_conjunct,[status(thm)],[conj_2])). 9.78/9.98 fof(c_0_28, plain, ![X1453, X1454]:(~c_Relation_Otrans(X1454,X1453)|c_Transitive__Closure_Otrancl(X1454,X1453)=X1453), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_trancl__id])])])). 9.78/9.98 cnf(c_0_29, hypothesis, (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk69_0))|~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))), inference(split_conjunct,[status(thm)],[c_0_22])). 9.78/9.98 cnf(c_0_30, hypothesis, (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1))), inference(split_conjunct,[status(thm)],[c_0_23])). 9.78/9.98 cnf(c_0_31, hypothesis, (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X1))), inference(split_conjunct,[status(thm)],[c_0_23])). 9.78/9.98 cnf(c_0_32, hypothesis, (c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X1))), inference(split_conjunct,[status(thm)],[c_0_23])). 9.78/9.98 cnf(c_0_33, plain, (~c_Relation_Oirrefl(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_24])). 9.78/9.98 cnf(c_0_34, plain, (c_member(X1,X2,c_Set_Oinsert(X3,X2,X4))), inference(spm,[status(thm)],[c_0_25, c_0_20])). 9.78/9.98 fof(c_0_35, plain, ![X1565, X1566, X1567, X1568, X1569]:(~c_member(tc_prod(X1569,X1569),c_Product__Type_OPair(X1569,X1569,X1568,X1567),X1566)|(~c_member(tc_prod(X1569,X1569),c_Product__Type_OPair(X1569,X1569,X1567,X1565),X1566)|c_member(tc_prod(X1569,X1569),c_Product__Type_OPair(X1569,X1569,X1568,X1565),c_Transitive__Closure_Otrancl(X1569,X1566)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_r__r__into__trancl])])])). 9.78/9.98 cnf(c_0_36, hypothesis, (hBOOL(hAPP(v_F(v_P),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b)))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 9.78/9.98 cnf(c_0_37, plain, (c_Transitive__Closure_Otrancl(X1,X2)=X2|~c_Relation_Otrans(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_28])). 9.78/9.98 cnf(c_0_38, hypothesis, (c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30]), c_0_31]), c_0_32])])). 9.78/9.98 cnf(c_0_39, plain, (~c_Relation_Oirrefl(X1,c_Set_Oinsert(X2,c_Product__Type_OPair(X1,X1,X3,X3),X4))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 9.78/9.98 cnf(c_0_40, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X5),c_Transitive__Closure_Otrancl(X1,X4))|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X3),X4)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X5),X4)), inference(split_conjunct,[status(thm)],[c_0_35])). 9.78/9.98 cnf(c_0_41, hypothesis, (c_member(X1,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P))), inference(spm,[status(thm)],[c_0_25, c_0_36])). 9.78/9.98 cnf(c_0_42, hypothesis, (c_Transitive__Closure_Otrancl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))=v_F(v_P)), inference(spm,[status(thm)],[c_0_37, c_0_38])). 9.78/9.98 cnf(c_0_43, hypothesis, (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,esk69_0))|~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,esk69_0))), inference(split_conjunct,[status(thm)],[c_0_22])). 9.78/9.98 fof(c_0_44, hypothesis, ![X558, X562, X563]:(~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X558,esk16_1(X558)))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X558,esk17_1(X558)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X558,esk18_1(X558)))|(X563=X562|(~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X562,X563),hAPP(X558,v_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X562,X563),v_F(X558))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])])])). 9.78/9.98 fof(c_0_45, plain, ![X1810, X1811]:hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1811,tc_HOL_Obool)),X1810)), inference(variable_rename,[status(thm)],[fact_top1I])). 9.78/9.98 cnf(c_0_46, plain, (~c_Relation_Oirrefl(X1,X2)|~c_member(X3,c_Product__Type_OPair(X1,X1,X4,X4),X2)), inference(spm,[status(thm)],[c_0_39, c_0_21])). 9.78/9.98 cnf(c_0_47, hypothesis, (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_b),v_F(v_P))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_a),v_F(v_P))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])). 9.78/9.98 cnf(c_0_48, hypothesis, (c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_30]), c_0_31]), c_0_32])])). 9.78/9.98 cnf(c_0_49, hypothesis, (X2=X3|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_F(X1))|~c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk16_1(X1)))|~c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X1,esk17_1(X1)))|~c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X1,esk18_1(X1)))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),hAPP(X1,v_i))), inference(split_conjunct,[status(thm)],[c_0_44])). 9.78/9.98 fof(c_0_50, plain, ![X895, X896, X897, X898, X899, X900, X901, X902]:((~c_Relation_Ototal__on(X897,X896,X895)|(~c_member(X897,X898,X896)|(~c_member(X897,X899,X896)|(X898=X899|(c_member(tc_prod(X897,X897),c_Product__Type_OPair(X897,X897,X899,X898),X895)|c_member(tc_prod(X897,X897),c_Product__Type_OPair(X897,X897,X898,X899),X895))))))&((c_member(X902,esk36_3(X900,X901,X902),X901)|c_Relation_Ototal__on(X902,X901,X900))&((c_member(X902,esk37_3(X900,X901,X902),X901)|c_Relation_Ototal__on(X902,X901,X900))&((esk36_3(X900,X901,X902)!=esk37_3(X900,X901,X902)|c_Relation_Ototal__on(X902,X901,X900))&((~c_member(tc_prod(X902,X902),c_Product__Type_OPair(X902,X902,esk37_3(X900,X901,X902),esk36_3(X900,X901,X902)),X900)|c_Relation_Ototal__on(X902,X901,X900))&(~c_member(tc_prod(X902,X902),c_Product__Type_OPair(X902,X902,esk36_3(X900,X901,X902),esk37_3(X900,X901,X902)),X900)|c_Relation_Ototal__on(X902,X901,X900))))))), 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)],[inference(fof_simplification,[status(thm)],[fact_total__on__def])])])])])])])). 9.78/9.98 cnf(c_0_51, plain, (hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2))), inference(split_conjunct,[status(thm)],[c_0_45])). 9.78/9.98 fof(c_0_52, negated_conjecture, ~(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i))), inference(assume_negation,[status(cth)],[conj_4])). 9.78/9.98 fof(c_0_53, plain, ![X1534, X1535]:(c_member(tc_prod(X1535,X1535),c_Product__Type_OPair(X1535,X1535,esk74_2(X1534,X1535),esk74_2(X1534,X1535)),c_Transitive__Closure_Otrancl(X1535,X1534))|c_Wellfounded_Oacyclic(X1535,X1534)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_acyclicI])])])])). 9.78/9.98 fof(c_0_54, plain, ![X1285, X1286, X1287, X1288, X1289]:((~c_member(tc_prod(X1289,X1288),c_Product__Type_OPair(X1289,X1288,X1286,X1285),X1287)|c_FunDef_Oin__rel(X1289,X1288,X1287,X1286,X1285))&(~c_FunDef_Oin__rel(X1289,X1288,X1287,X1286,X1285)|c_member(tc_prod(X1289,X1288),c_Product__Type_OPair(X1289,X1288,X1286,X1285),X1287))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_in__rel__def])])). 9.78/9.98 cnf(c_0_55, hypothesis, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),v_F(v_P))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])])). 9.78/9.98 cnf(c_0_56, hypothesis, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_F(v_P))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),hAPP(v_P,v_i))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_32]), c_0_31]), c_0_30])])). 9.78/9.98 cnf(c_0_57, plain, (X4=X5|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X5,X4),X3)|c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X4,X5),X3)|~c_Relation_Ototal__on(X1,X2,X3)|~c_member(X1,X4,X2)|~c_member(X1,X5,X2)), inference(split_conjunct,[status(thm)],[c_0_50])). 9.78/9.98 cnf(c_0_58, plain, (c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))), inference(spm,[status(thm)],[c_0_25, c_0_51])). 9.78/9.98 fof(c_0_59, negated_conjecture, ~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)), inference(fof_simplification,[status(thm)],[c_0_52])). 9.78/9.98 fof(c_0_60, plain, ![X2033, X2034, X2036, X2037, X2038]:((c_member(tc_prod(X2034,X2034),c_Product__Type_OPair(X2034,X2034,esk90_2(X2033,X2034),esk90_2(X2033,X2034)),c_Transitive__Closure_Otrancl(X2034,X2033))|c_Wellfounded_Oacyclic(X2034,X2033))&(~c_Wellfounded_Oacyclic(X2037,X2036)|~c_member(tc_prod(X2037,X2037),c_Product__Type_OPair(X2037,X2037,X2038,X2038),c_Transitive__Closure_Otrancl(X2037,X2036)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_acyclic__def])])])])])])). 9.78/9.98 cnf(c_0_61, plain, (c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk74_2(X2,X1),esk74_2(X2,X1)),c_Transitive__Closure_Otrancl(X1,X2))|c_Wellfounded_Oacyclic(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_53])). 9.78/9.98 cnf(c_0_62, plain, (c_FunDef_Oin__rel(X1,X2,X5,X3,X4)|~c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)), inference(split_conjunct,[status(thm)],[c_0_54])). 9.78/9.98 cnf(c_0_63, hypothesis, (v_b=v_a|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),hAPP(v_P,v_i))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 9.78/9.98 cnf(c_0_64, hypothesis, (X1=X2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(v_P,X3))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),hAPP(v_P,X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_32]), c_0_58]), c_0_58])])). 9.78/9.98 cnf(c_0_65, negated_conjecture, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i))), inference(split_conjunct,[status(thm)],[c_0_59])). 9.78/9.98 cnf(c_0_66, plain, (~c_Wellfounded_Oacyclic(X1,X2)|~c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),c_Transitive__Closure_Otrancl(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_60])). 9.78/9.98 cnf(c_0_67, plain, (c_Wellfounded_Oacyclic(X1,X2)|~c_Relation_Oirrefl(X1,c_Transitive__Closure_Otrancl(X1,X2))), inference(spm,[status(thm)],[c_0_33, c_0_61])). 9.78/9.98 cnf(c_0_68, hypothesis, (c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P),v_a,v_b)), inference(spm,[status(thm)],[c_0_62, c_0_41])). 9.78/9.98 cnf(c_0_69, hypothesis, (v_b=v_a), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65])). 9.78/9.98 cnf(c_0_70, hypothesis, (~c_Wellfounded_Oacyclic(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))|~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_F(v_P))), inference(spm,[status(thm)],[c_0_66, c_0_42])). 9.78/9.98 cnf(c_0_71, hypothesis, (c_Wellfounded_Oacyclic(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_42]), c_0_48])])). 9.78/9.98 cnf(c_0_72, plain, (c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X4,X5),X3)|~c_FunDef_Oin__rel(X1,X2,X3,X4,X5)), inference(split_conjunct,[status(thm)],[c_0_54])). 9.78/9.98 cnf(c_0_73, hypothesis, (c_FunDef_Oin__rel(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P),v_a,v_a)), inference(rw,[status(thm)],[c_0_68, c_0_69])). 9.78/9.98 cnf(c_0_74, hypothesis, (~c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_F(v_P))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_71])])). 9.78/9.98 cnf(c_0_75, hypothesis, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74]), ['proof']). 9.78/9.98 # SZS output end CNFRefutation 9.78/9.98 # Proof object total steps : 76 9.78/9.98 # Proof object clause steps : 44 9.78/9.98 # Proof object formula steps : 32 9.78/9.98 # Proof object conjectures : 4 9.78/9.98 # Proof object clause conjectures : 1 9.78/9.98 # Proof object formula conjectures : 3 9.78/9.98 # Proof object initial clauses used : 20 9.78/9.98 # Proof object initial formulas used : 16 9.78/9.99 # Proof object generating inferences : 19 9.78/9.99 # Proof object simplifying inferences : 25 9.78/9.99 # Training examples: 0 positive, 0 negative 9.78/9.99 # Parsed axioms : 527 9.78/9.99 # Removed by relevancy pruning/SinE : 0 9.78/9.99 # Initial clauses : 790 9.78/9.99 # Removed in clause preprocessing : 33 9.78/9.99 # Initial clauses in saturation : 757 9.78/9.99 # Processed clauses : 13456 9.78/9.99 # ...of these trivial : 2503 9.78/9.99 # ...subsumed : 5164 9.78/9.99 # ...remaining for further processing : 5789 9.78/9.99 # Other redundant clauses eliminated : 1309 9.78/9.99 # Clauses deleted for lack of memory : 0 9.78/9.99 # Backward-subsumed : 333 9.78/9.99 # Backward-rewritten : 567 9.78/9.99 # Generated clauses : 595410 9.78/9.99 # ...of the previous two non-trivial : 569409 9.78/9.99 # Contextual simplify-reflections : 6 9.78/9.99 # Paramodulations : 594096 9.78/9.99 # Factorizations : 2 9.78/9.99 # Equation resolutions : 1323 9.78/9.99 # Propositional unsat checks : 0 9.78/9.99 # Propositional check models : 0 9.78/9.99 # Propositional check unsatisfiable : 0 9.78/9.99 # Propositional clauses : 0 9.78/9.99 # Propositional clauses after purity: 0 9.78/9.99 # Propositional unsat core size : 0 9.78/9.99 # Propositional preprocessing time : 0.000 9.78/9.99 # Propositional encoding time : 0.000 9.78/9.99 # Propositional solver time : 0.000 9.78/9.99 # Success case prop preproc time : 0.000 9.78/9.99 # Success case prop encoding time : 0.000 9.78/9.99 # Success case prop solver time : 0.000 9.78/9.99 # Current number of processed clauses : 4210 9.78/9.99 # Positive orientable unit clauses : 2423 9.78/9.99 # Positive unorientable unit clauses: 11 9.78/9.99 # Negative unit clauses : 317 9.78/9.99 # Non-unit-clauses : 1459 9.78/9.99 # Current number of unprocessed clauses: 541502 9.78/9.99 # ...number of literals in the above : 1138536 9.78/9.99 # Current number of archived formulas : 0 9.78/9.99 # Current number of archived clauses : 1514 9.78/9.99 # Clause-clause subsumption calls (NU) : 476223 9.78/9.99 # Rec. Clause-clause subsumption calls : 237405 9.78/9.99 # Non-unit clause-clause subsumptions : 2915 9.78/9.99 # Unit Clause-clause subsumption calls : 130203 9.78/9.99 # Rewrite failures with RHS unbound : 309 9.78/9.99 # BW rewrite match attempts : 568129 9.78/9.99 # BW rewrite match successes : 498 9.78/9.99 # Condensation attempts : 0 9.78/9.99 # Condensation successes : 0 9.78/9.99 # Termbank termtop insertions : 9323918 9.78/10.04 9.78/10.04 # ------------------------------------------------- 9.78/10.04 # User time : 9.276 s 9.78/10.04 # System time : 0.440 s 9.78/10.04 # Total time : 9.716 s 9.78/10.04 # Maximum resident set size: 2404 pages 9.78/10.04 EOF