0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.15/0.37 % Computer : n024.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 960 0.15/0.37 % WCLimit : 120 0.15/0.37 % DateTime : Thu Jul 2 07:54:11 EDT 2020 0.15/0.37 % CPUTime : 0.15/0.37 # Version: 2.5pre002 0.15/0.37 # No SInE strategy applied 0.15/0.37 # Trying AutoSched0 for 59 seconds 0.22/0.58 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN 0.22/0.58 # and selection function PSelectComplexExceptUniqMaxHorn. 0.22/0.58 # 0.22/0.58 # Preprocessing time : 0.032 s 0.22/0.58 0.22/0.58 # Proof found! 0.22/0.58 # SZS status Theorem 0.22/0.58 # SZS output start CNFRefutation 0.22/0.58 fof(ap_tp, axiom, ![X1, X5, X6]:(mem(X6,arr(X1,X5))=>![X2]:(mem(X2,X1)=>mem(ap(X6,X2),X5))), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax', ap_tp)). 0.22/0.58 fof(mem_c_2Epred__set_2ESUBSET, axiom, ![X9]:(ne(X9)=>mem(c_2Epred__set_2ESUBSET(X9),arr(arr(X9,bool),arr(arr(X9,bool),bool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Epred__set_2ESUBSET)). 0.22/0.58 fof(boolext, axiom, ![X3]:(mem(X3,bool)=>![X4]:(((p(X3)<=>p(X4))=>X4=X3)<=mem(X4,bool))), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax', boolext)). 0.22/0.58 fof(conj_thm_2Epred__set_2EREST__SUBSET, conjecture, ![X9]:(![X10]:(p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(c_2Epred__set_2EREST(X9),X10)),X10))<=mem(X10,arr(X9,bool)))<=ne(X9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Epred__set_2EREST__SUBSET)). 0.22/0.58 fof(mem_c_2Epred__set_2EREST, axiom, ![X9]:(ne(X9)=>mem(c_2Epred__set_2EREST(X9),arr(arr(X9,bool),arr(X9,bool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Epred__set_2EREST)). 0.22/0.58 fof(ax_thm_2Epred__set_2ESUBSET__DEF, axiom, ![X9]:(ne(X9)=>![X10]:(![X11]:(mem(X11,arr(X9,bool))=>(p(ap(ap(c_2Epred__set_2ESUBSET(X9),X10),X11))<=>![X12]:(mem(X12,X9)=>(p(ap(ap(c_2Ebool_2EIN(X9),X12),X10))=>p(ap(ap(c_2Ebool_2EIN(X9),X12),X11))))))<=mem(X10,arr(X9,bool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax_thm_2Epred__set_2ESUBSET__DEF)). 0.22/0.58 fof(mem_c_2Ebool_2E_21, axiom, ![X9]:(mem(c_2Ebool_2E_21(X9),arr(arr(X9,bool),bool))<=ne(X9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Ebool_2E_21)). 0.22/0.58 fof(mem_c_2Epred__set_2ECHOICE, axiom, ![X9]:(ne(X9)=>mem(c_2Epred__set_2ECHOICE(X9),arr(arr(X9,bool),X9))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Epred__set_2ECHOICE)). 0.22/0.58 fof(conj_thm_2Epred__set_2EIN__DELETE, axiom, ![X9]:(ne(X9)=>![X10]:(![X13]:(![X14]:(mem(X14,X9)=>((X13!=X14&p(ap(ap(c_2Ebool_2EIN(X9),X13),X10)))<=>p(ap(ap(c_2Ebool_2EIN(X9),X13),ap(ap(c_2Epred__set_2EDELETE(X9),X10),X14)))))<=mem(X13,X9))<=mem(X10,arr(X9,bool)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_thm_2Epred__set_2EIN__DELETE)). 0.22/0.58 fof(ax_thm_2Epred__set_2EREST__DEF, axiom, ![X9]:(![X10]:(ap(ap(c_2Epred__set_2EDELETE(X9),X10),ap(c_2Epred__set_2ECHOICE(X9),X10))=ap(c_2Epred__set_2EREST(X9),X10)<=mem(X10,arr(X9,bool)))<=ne(X9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax_thm_2Epred__set_2EREST__DEF)). 0.22/0.58 fof(mem_c_2Ebool_2E_7E, axiom, mem(c_2Ebool_2E_7E,arr(bool,bool)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mem_c_2Ebool_2E_7E)). 0.22/0.58 fof(bool_ne, axiom, ne(bool), file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax', bool_ne)). 0.22/0.58 fof(ax_all_p, axiom, ![X1]:(![X3]:(mem(X3,arr(X1,bool))=>(p(ap(c_2Ebool_2E_21(X1),X3))<=>![X2]:(mem(X2,X1)=>p(ap(X3,X2)))))<=ne(X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax_all_p)). 0.22/0.58 fof(ax_neg_p, axiom, ![X3]:(mem(X3,bool)=>(~(p(X3))<=>p(ap(c_2Ebool_2E_7E,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax_neg_p)). 0.22/0.58 fof(c_0_14, plain, ![X29, X30, X31, X32]:(~mem(X31,arr(X29,X30))|(~mem(X32,X29)|mem(ap(X31,X32),X30))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])). 0.22/0.58 fof(c_0_15, plain, ![X38]:(~ne(X38)|mem(c_2Epred__set_2ESUBSET(X38),arr(arr(X38,bool),arr(arr(X38,bool),bool)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2ESUBSET])])). 0.22/0.58 cnf(c_0_16, plain, (mem(ap(X1,X4),X3)|~mem(X1,arr(X2,X3))|~mem(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_14])). 0.22/0.58 cnf(c_0_17, plain, (mem(c_2Epred__set_2ESUBSET(X1),arr(arr(X1,bool),arr(arr(X1,bool),bool)))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_15])). 0.22/0.58 fof(c_0_18, plain, ![X17, X18]:((~p(X17)|~p(X18)|X18=X17|~mem(X18,bool)|~mem(X17,bool))&(p(X17)|p(X18)|X18=X17|~mem(X18,bool)|~mem(X17,bool))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[boolext])])])])])). 0.22/0.58 cnf(c_0_19, plain, (mem(ap(c_2Epred__set_2ESUBSET(X1),X2),arr(arr(X1,bool),bool))|~ne(X1)|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 0.22/0.58 fof(c_0_20, negated_conjecture, ~(![X9]:(![X10]:(p(ap(ap(c_2Epred__set_2ESUBSET(X9),ap(c_2Epred__set_2EREST(X9),X10)),X10))<=mem(X10,arr(X9,bool)))<=ne(X9))), inference(assume_negation,[status(cth)],[conj_thm_2Epred__set_2EREST__SUBSET])). 0.22/0.58 cnf(c_0_21, plain, (p(X1)|p(X2)|X2=X1|~mem(X2,bool)|~mem(X1,bool)), inference(split_conjunct,[status(thm)],[c_0_18])). 0.22/0.58 cnf(c_0_22, plain, (mem(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3),bool)|~ne(X1)|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_16, c_0_19])). 0.22/0.58 fof(c_0_23, negated_conjecture, (ne(esk2_0)&(mem(esk3_0,arr(esk2_0,bool))&~p(ap(ap(c_2Epred__set_2ESUBSET(esk2_0),ap(c_2Epred__set_2EREST(esk2_0),esk3_0)),esk3_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_20])])])])). 0.22/0.58 fof(c_0_24, plain, ![X54]:(~ne(X54)|mem(c_2Epred__set_2EREST(X54),arr(arr(X54,bool),arr(X54,bool)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2EREST])])). 0.22/0.58 cnf(c_0_25, plain, (X1=ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X4)|p(ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X4))|p(X1)|~ne(X2)|~mem(X4,arr(X2,bool))|~mem(X3,arr(X2,bool))|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.22/0.58 cnf(c_0_26, negated_conjecture, (mem(esk3_0,arr(esk2_0,bool))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.22/0.58 cnf(c_0_27, negated_conjecture, (ne(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_23])). 0.22/0.58 cnf(c_0_28, plain, (mem(c_2Epred__set_2EREST(X1),arr(arr(X1,bool),arr(X1,bool)))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_24])). 0.22/0.58 fof(c_0_29, plain, ![X42, X43, X44, X45]:((~p(ap(ap(c_2Epred__set_2ESUBSET(X42),X43),X44))|(~mem(X45,X42)|(~p(ap(ap(c_2Ebool_2EIN(X42),X45),X43))|p(ap(ap(c_2Ebool_2EIN(X42),X45),X44))))|~mem(X44,arr(X42,bool))|~mem(X43,arr(X42,bool))|~ne(X42))&((mem(esk4_3(X42,X43,X44),X42)|p(ap(ap(c_2Epred__set_2ESUBSET(X42),X43),X44))|~mem(X44,arr(X42,bool))|~mem(X43,arr(X42,bool))|~ne(X42))&((p(ap(ap(c_2Ebool_2EIN(X42),esk4_3(X42,X43,X44)),X43))|p(ap(ap(c_2Epred__set_2ESUBSET(X42),X43),X44))|~mem(X44,arr(X42,bool))|~mem(X43,arr(X42,bool))|~ne(X42))&(~p(ap(ap(c_2Ebool_2EIN(X42),esk4_3(X42,X43,X44)),X44))|p(ap(ap(c_2Epred__set_2ESUBSET(X42),X43),X44))|~mem(X44,arr(X42,bool))|~mem(X43,arr(X42,bool))|~ne(X42))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax_thm_2Epred__set_2ESUBSET__DEF])])])])])])). 0.22/0.58 cnf(c_0_30, negated_conjecture, (X1=ap(ap(c_2Epred__set_2ESUBSET(esk2_0),X2),esk3_0)|p(ap(ap(c_2Epred__set_2ESUBSET(esk2_0),X2),esk3_0))|p(X1)|~mem(X2,arr(esk2_0,bool))|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])])). 0.22/0.58 cnf(c_0_31, plain, (mem(ap(c_2Epred__set_2EREST(X1),X2),arr(X1,bool))|~ne(X1)|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_16, c_0_28])). 0.22/0.58 fof(c_0_32, plain, ![X41]:(~ne(X41)|mem(c_2Ebool_2E_21(X41),arr(arr(X41,bool),bool))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mem_c_2Ebool_2E_21])])])). 0.22/0.58 fof(c_0_33, plain, ![X34]:(~ne(X34)|mem(c_2Epred__set_2ECHOICE(X34),arr(arr(X34,bool),X34))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Epred__set_2ECHOICE])])). 0.22/0.58 cnf(c_0_34, plain, (p(ap(ap(c_2Ebool_2EIN(X1),esk4_3(X1,X2,X3)),X2))|p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.22/0.58 cnf(c_0_35, negated_conjecture, (X1=ap(ap(c_2Epred__set_2ESUBSET(esk2_0),ap(c_2Epred__set_2EREST(esk2_0),X2)),esk3_0)|p(ap(ap(c_2Epred__set_2ESUBSET(esk2_0),ap(c_2Epred__set_2EREST(esk2_0),X2)),esk3_0))|p(X1)|~mem(X2,arr(esk2_0,bool))|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_27])])). 0.22/0.58 cnf(c_0_36, negated_conjecture, (~p(ap(ap(c_2Epred__set_2ESUBSET(esk2_0),ap(c_2Epred__set_2EREST(esk2_0),esk3_0)),esk3_0))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.22/0.58 cnf(c_0_37, plain, (mem(c_2Ebool_2E_21(X1),arr(arr(X1,bool),bool))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_32])). 0.22/0.58 fof(c_0_38, plain, ![X50, X51, X52, X53]:((X52=X53|~p(ap(ap(c_2Ebool_2EIN(X50),X52),X51))|p(ap(ap(c_2Ebool_2EIN(X50),X52),ap(ap(c_2Epred__set_2EDELETE(X50),X51),X53)))|~mem(X53,X50)|~mem(X52,X50)|~mem(X51,arr(X50,bool))|~ne(X50))&((X52!=X53|~p(ap(ap(c_2Ebool_2EIN(X50),X52),ap(ap(c_2Epred__set_2EDELETE(X50),X51),X53)))|~mem(X53,X50)|~mem(X52,X50)|~mem(X51,arr(X50,bool))|~ne(X50))&(p(ap(ap(c_2Ebool_2EIN(X50),X52),X51))|~p(ap(ap(c_2Ebool_2EIN(X50),X52),ap(ap(c_2Epred__set_2EDELETE(X50),X51),X53)))|~mem(X53,X50)|~mem(X52,X50)|~mem(X51,arr(X50,bool))|~ne(X50)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[conj_thm_2Epred__set_2EIN__DELETE])])])])])). 0.22/0.58 fof(c_0_39, plain, ![X63, X64]:(~ne(X63)|(~mem(X64,arr(X63,bool))|ap(ap(c_2Epred__set_2EDELETE(X63),X64),ap(c_2Epred__set_2ECHOICE(X63),X64))=ap(c_2Epred__set_2EREST(X63),X64))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax_thm_2Epred__set_2EREST__DEF])])])])). 0.22/0.58 cnf(c_0_40, plain, (mem(c_2Epred__set_2ECHOICE(X1),arr(arr(X1,bool),X1))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.22/0.58 cnf(c_0_41, negated_conjecture, (p(ap(ap(c_2Ebool_2EIN(esk2_0),esk4_3(esk2_0,X1,esk3_0)),X1))|p(ap(ap(c_2Epred__set_2ESUBSET(esk2_0),X1),esk3_0))|~mem(X1,arr(esk2_0,bool))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_26]), c_0_27])])). 0.22/0.58 cnf(c_0_42, negated_conjecture, (X1=ap(ap(c_2Epred__set_2ESUBSET(esk2_0),ap(c_2Epred__set_2EREST(esk2_0),esk3_0)),esk3_0)|p(X1)|~mem(X1,bool)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_26]), c_0_36])). 0.22/0.58 cnf(c_0_43, plain, (mem(ap(c_2Ebool_2E_21(X1),X2),bool)|~ne(X1)|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_16, c_0_37])). 0.22/0.58 cnf(c_0_44, plain, (p(ap(ap(c_2Ebool_2EIN(X1),X2),X3))|~p(ap(ap(c_2Ebool_2EIN(X1),X2),ap(ap(c_2Epred__set_2EDELETE(X1),X3),X4)))|~mem(X4,X1)|~mem(X2,X1)|~mem(X3,arr(X1,bool))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_38])). 0.22/0.58 cnf(c_0_45, plain, (ap(ap(c_2Epred__set_2EDELETE(X1),X2),ap(c_2Epred__set_2ECHOICE(X1),X2))=ap(c_2Epred__set_2EREST(X1),X2)|~ne(X1)|~mem(X2,arr(X1,bool))), inference(split_conjunct,[status(thm)],[c_0_39])). 0.22/0.58 cnf(c_0_46, plain, (mem(ap(c_2Epred__set_2ECHOICE(X1),X2),X1)|~ne(X1)|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_16, c_0_40])). 0.22/0.58 cnf(c_0_47, negated_conjecture, (p(ap(ap(c_2Ebool_2EIN(esk2_0),esk4_3(esk2_0,ap(c_2Epred__set_2EREST(esk2_0),X1),esk3_0)),ap(c_2Epred__set_2EREST(esk2_0),X1)))|p(ap(ap(c_2Epred__set_2ESUBSET(esk2_0),ap(c_2Epred__set_2EREST(esk2_0),X1)),esk3_0))|~mem(X1,arr(esk2_0,bool))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_31]), c_0_27])])). 0.22/0.58 cnf(c_0_48, negated_conjecture, (ap(c_2Ebool_2E_21(X1),X2)=ap(ap(c_2Epred__set_2ESUBSET(esk2_0),ap(c_2Epred__set_2EREST(esk2_0),esk3_0)),esk3_0)|p(ap(c_2Ebool_2E_21(X1),X2))|~ne(X1)|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 0.22/0.58 cnf(c_0_49, plain, (mem(c_2Ebool_2E_7E,arr(bool,bool))), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2E_7E])). 0.22/0.58 cnf(c_0_50, plain, (ne(bool)), inference(split_conjunct,[status(thm)],[bool_ne])). 0.22/0.58 cnf(c_0_51, plain, (X2=X1|~p(X1)|~p(X2)|~mem(X2,bool)|~mem(X1,bool)), inference(split_conjunct,[status(thm)],[c_0_18])). 0.22/0.58 cnf(c_0_52, plain, (p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))|~p(ap(ap(c_2Ebool_2EIN(X1),esk4_3(X1,X2,X3)),X3))|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.22/0.58 cnf(c_0_53, negated_conjecture, (p(ap(ap(c_2Ebool_2EIN(esk2_0),esk4_3(esk2_0,esk3_0,esk3_0)),esk3_0))|p(ap(ap(c_2Epred__set_2ESUBSET(esk2_0),esk3_0),esk3_0))), inference(spm,[status(thm)],[c_0_41, c_0_26])). 0.22/0.58 cnf(c_0_54, plain, (p(ap(ap(c_2Ebool_2EIN(X1),X2),X3))|~ne(X1)|~p(ap(ap(c_2Ebool_2EIN(X1),X2),ap(c_2Epred__set_2EREST(X1),X3)))|~mem(X3,arr(X1,bool))|~mem(X2,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])). 0.22/0.58 cnf(c_0_55, negated_conjecture, (p(ap(ap(c_2Ebool_2EIN(esk2_0),esk4_3(esk2_0,ap(c_2Epred__set_2EREST(esk2_0),esk3_0),esk3_0)),ap(c_2Epred__set_2EREST(esk2_0),esk3_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_26]), c_0_36])). 0.22/0.58 cnf(c_0_56, plain, (mem(esk4_3(X1,X2,X3),X1)|p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.22/0.58 cnf(c_0_57, negated_conjecture, (ap(ap(c_2Epred__set_2ESUBSET(esk2_0),ap(c_2Epred__set_2EREST(esk2_0),esk3_0)),esk3_0)=ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])])). 0.22/0.58 cnf(c_0_58, plain, (X1=ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X4)|~ne(X2)|~p(ap(ap(c_2Epred__set_2ESUBSET(X2),X3),X4))|~p(X1)|~mem(X4,arr(X2,bool))|~mem(X3,arr(X2,bool))|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_51, c_0_22])). 0.22/0.58 cnf(c_0_59, negated_conjecture, (p(ap(ap(c_2Epred__set_2ESUBSET(esk2_0),esk3_0),esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_27]), c_0_26])])). 0.22/0.58 cnf(c_0_60, plain, (p(ap(ap(c_2Ebool_2EIN(bool),esk4_3(bool,X1,c_2Ebool_2E_7E)),X1))|p(ap(ap(c_2Epred__set_2ESUBSET(bool),X1),c_2Ebool_2E_7E))|~mem(X1,arr(bool,bool))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_49]), c_0_50])])). 0.22/0.58 cnf(c_0_61, negated_conjecture, (p(ap(ap(c_2Ebool_2EIN(esk2_0),esk4_3(esk2_0,ap(c_2Epred__set_2EREST(esk2_0),esk3_0),esk3_0)),esk3_0))|~mem(esk4_3(esk2_0,ap(c_2Epred__set_2EREST(esk2_0),esk3_0),esk3_0),esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_27]), c_0_26])])). 0.22/0.58 cnf(c_0_62, negated_conjecture, (p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|mem(esk4_3(esk2_0,ap(c_2Epred__set_2EREST(esk2_0),esk3_0),esk3_0),esk2_0)|~mem(ap(c_2Epred__set_2EREST(esk2_0),esk3_0),arr(esk2_0,bool))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_27]), c_0_26])])). 0.22/0.58 cnf(c_0_63, negated_conjecture, (X1=ap(ap(c_2Epred__set_2ESUBSET(esk2_0),esk3_0),esk3_0)|~p(X1)|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_27]), c_0_26])])). 0.22/0.58 cnf(c_0_64, plain, (p(ap(ap(c_2Ebool_2EIN(bool),esk4_3(bool,c_2Ebool_2E_7E,c_2Ebool_2E_7E)),c_2Ebool_2E_7E))|p(ap(ap(c_2Epred__set_2ESUBSET(bool),c_2Ebool_2E_7E),c_2Ebool_2E_7E))), inference(spm,[status(thm)],[c_0_60, c_0_49])). 0.22/0.58 cnf(c_0_65, negated_conjecture, (~mem(esk4_3(esk2_0,ap(c_2Epred__set_2EREST(esk2_0),esk3_0),esk3_0),esk2_0)|~mem(ap(c_2Epred__set_2EREST(esk2_0),esk3_0),arr(esk2_0,bool))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_61]), c_0_27]), c_0_26])]), c_0_36])). 0.22/0.58 cnf(c_0_66, negated_conjecture, (p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|mem(esk4_3(esk2_0,ap(c_2Epred__set_2EREST(esk2_0),esk3_0),esk3_0),esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_31]), c_0_27]), c_0_26])])). 0.22/0.58 fof(c_0_67, plain, ![X56, X57, X58]:((~p(ap(c_2Ebool_2E_21(X56),X57))|(~mem(X58,X56)|p(ap(X57,X58)))|~mem(X57,arr(X56,bool))|~ne(X56))&((mem(esk5_2(X56,X57),X56)|p(ap(c_2Ebool_2E_21(X56),X57))|~mem(X57,arr(X56,bool))|~ne(X56))&(~p(ap(X57,esk5_2(X56,X57)))|p(ap(c_2Ebool_2E_21(X56),X57))|~mem(X57,arr(X56,bool))|~ne(X56)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax_all_p])])])])])])). 0.22/0.58 cnf(c_0_68, negated_conjecture, (p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|mem(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E),bool)|~mem(ap(c_2Epred__set_2EREST(esk2_0),esk3_0),arr(esk2_0,bool))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_57]), c_0_27]), c_0_26])])). 0.22/0.58 cnf(c_0_69, negated_conjecture, (ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3)=ap(ap(c_2Epred__set_2ESUBSET(esk2_0),esk3_0),esk3_0)|~ne(X1)|~p(ap(ap(c_2Epred__set_2ESUBSET(X1),X2),X3))|~mem(X3,arr(X1,bool))|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_63, c_0_22])). 0.22/0.58 cnf(c_0_70, plain, (p(ap(ap(c_2Epred__set_2ESUBSET(bool),c_2Ebool_2E_7E),c_2Ebool_2E_7E))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_64]), c_0_50]), c_0_49])])). 0.22/0.58 cnf(c_0_71, negated_conjecture, (p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|~mem(ap(c_2Epred__set_2EREST(esk2_0),esk3_0),arr(esk2_0,bool))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.22/0.58 cnf(c_0_72, plain, (p(ap(X2,X3))|~p(ap(c_2Ebool_2E_21(X1),X2))|~mem(X3,X1)|~mem(X2,arr(X1,bool))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_67])). 0.22/0.58 cnf(c_0_73, negated_conjecture, (p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|mem(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E),bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_31]), c_0_27]), c_0_26])])). 0.22/0.58 cnf(c_0_74, negated_conjecture, (ap(ap(c_2Epred__set_2ESUBSET(esk2_0),esk3_0),esk3_0)=ap(ap(c_2Epred__set_2ESUBSET(bool),c_2Ebool_2E_7E),c_2Ebool_2E_7E)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_50]), c_0_49])])). 0.22/0.58 fof(c_0_75, plain, ![X60]:((p(X60)|p(ap(c_2Ebool_2E_7E,X60))|~mem(X60,bool))&(~p(ap(c_2Ebool_2E_7E,X60))|~p(X60)|~mem(X60,bool))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax_neg_p])])])])). 0.22/0.58 cnf(c_0_76, negated_conjecture, (p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_31]), c_0_27]), c_0_26])])). 0.22/0.58 cnf(c_0_77, negated_conjecture, (p(ap(c_2Ebool_2E_7E,X1))|mem(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E),bool)|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_50]), c_0_49])])). 0.22/0.58 cnf(c_0_78, negated_conjecture, (mem(ap(ap(c_2Epred__set_2ESUBSET(bool),c_2Ebool_2E_7E),c_2Ebool_2E_7E),bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_74]), c_0_27]), c_0_26])])). 0.22/0.58 cnf(c_0_79, plain, (~p(ap(c_2Ebool_2E_7E,X1))|~p(X1)|~mem(X1,bool)), inference(split_conjunct,[status(thm)],[c_0_75])). 0.22/0.58 cnf(c_0_80, negated_conjecture, (p(ap(c_2Ebool_2E_7E,X1))|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_76]), c_0_50]), c_0_49])])). 0.22/0.58 cnf(c_0_81, negated_conjecture, (p(ap(c_2Ebool_2E_7E,ap(ap(c_2Epred__set_2ESUBSET(bool),c_2Ebool_2E_7E),c_2Ebool_2E_7E)))|mem(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E),bool)), inference(spm,[status(thm)],[c_0_77, c_0_78])). 0.22/0.58 cnf(c_0_82, negated_conjecture, (~p(X1)|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_79, c_0_80])). 0.22/0.58 cnf(c_0_83, negated_conjecture, (mem(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E),bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_81]), c_0_70]), c_0_78])])). 0.22/0.58 cnf(c_0_84, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_76]), c_0_83])]), ['proof']). 0.22/0.58 # SZS output end CNFRefutation 0.22/0.58 # Proof object total steps : 85 0.22/0.58 # Proof object clause steps : 58 0.22/0.58 # Proof object formula steps : 27 0.22/0.58 # Proof object conjectures : 34 0.22/0.58 # Proof object clause conjectures : 31 0.22/0.58 # Proof object formula conjectures : 3 0.22/0.58 # Proof object initial clauses used : 19 0.22/0.58 # Proof object initial formulas used : 14 0.22/0.58 # Proof object generating inferences : 39 0.22/0.58 # Proof object simplifying inferences : 63 0.22/0.58 # Training examples: 0 positive, 0 negative 0.22/0.58 # Parsed axioms : 27 0.22/0.58 # Removed by relevancy pruning/SinE : 0 0.22/0.58 # Initial clauses : 44 0.22/0.58 # Removed in clause preprocessing : 0 0.22/0.58 # Initial clauses in saturation : 44 0.22/0.58 # Processed clauses : 789 0.22/0.58 # ...of these trivial : 2 0.22/0.58 # ...subsumed : 130 0.22/0.58 # ...remaining for further processing : 657 0.22/0.58 # Other redundant clauses eliminated : 4 0.22/0.58 # Clauses deleted for lack of memory : 0 0.22/0.58 # Backward-subsumed : 180 0.22/0.58 # Backward-rewritten : 146 0.22/0.58 # Generated clauses : 5561 0.22/0.58 # ...of the previous two non-trivial : 5303 0.22/0.58 # Contextual simplify-reflections : 20 0.22/0.58 # Paramodulations : 5464 0.22/0.58 # Factorizations : 86 0.22/0.58 # Equation resolutions : 11 0.22/0.58 # Propositional unsat checks : 0 0.22/0.58 # Propositional check models : 0 0.22/0.58 # Propositional check unsatisfiable : 0 0.22/0.58 # Propositional clauses : 0 0.22/0.58 # Propositional clauses after purity: 0 0.22/0.58 # Propositional unsat core size : 0 0.22/0.58 # Propositional preprocessing time : 0.000 0.22/0.58 # Propositional encoding time : 0.000 0.22/0.58 # Propositional solver time : 0.000 0.22/0.58 # Success case prop preproc time : 0.000 0.22/0.58 # Success case prop encoding time : 0.000 0.22/0.58 # Success case prop solver time : 0.000 0.22/0.58 # Current number of processed clauses : 329 0.22/0.58 # Positive orientable unit clauses : 14 0.22/0.58 # Positive unorientable unit clauses: 0 0.22/0.58 # Negative unit clauses : 2 0.22/0.58 # Non-unit-clauses : 313 0.22/0.58 # Current number of unprocessed clauses: 4483 0.22/0.58 # ...number of literals in the above : 21448 0.22/0.58 # Current number of archived formulas : 0 0.22/0.58 # Current number of archived clauses : 326 0.22/0.58 # Clause-clause subsumption calls (NU) : 46715 0.22/0.58 # Rec. Clause-clause subsumption calls : 6736 0.22/0.58 # Non-unit clause-clause subsumptions : 286 0.22/0.58 # Unit Clause-clause subsumption calls : 1790 0.22/0.58 # Rewrite failures with RHS unbound : 0 0.22/0.58 # BW rewrite match attempts : 98 0.22/0.58 # BW rewrite match successes : 12 0.22/0.58 # Condensation attempts : 0 0.22/0.58 # Condensation successes : 0 0.22/0.58 # Termbank termtop insertions : 206120 0.22/0.58 0.22/0.58 # ------------------------------------------------- 0.22/0.58 # User time : 0.201 s 0.22/0.58 # System time : 0.010 s 0.22/0.58 # Total time : 0.211 s 0.22/0.58 # Maximum resident set size: 1624 pages 0.22/0.58 EOF