0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.12/0.33 % Computer : n017.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 05:07:45 EDT 2022 0.12/0.33 % CPUTime : 0.18/0.43 openjdk version "1.8.0_171" 0.18/0.43 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.18/0.43 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.18/0.44 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.57/0.70 start to proof: theBenchmark 1.79/1.85 % Version : CSE_E---1.4 1.79/1.85 % Problem : theBenchmark.p 1.79/1.85 % Proof found 1.79/1.85 % SZS status Theorem for theBenchmark.p 1.79/1.85 % SZS output start Proof 1.79/1.85 fof(boolext, axiom, ![X7]:(mem(X7,bool)=>![X8]:(((p(X7)<=>p(X8))=>X8=X7)<=mem(X8,bool))), file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax', boolext)). 1.79/1.85 fof(ax_false_p, axiom, ~(p(c_2Ebool_2EF)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_false_p)). 1.79/1.85 fof(ax_all_p, axiom, ![X1]:(ne(X1)=>![X7]:(mem(X7,arr(X1,bool))=>(p(ap(c_2Ebool_2E_21(X1),X7))<=>![X5]:(mem(X5,X1)=>p(ap(X7,X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_all_p)). 1.79/1.85 fof(mem_c_2Ebool_2EF, axiom, mem(c_2Ebool_2EF,bool), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Ebool_2EF)). 1.79/1.85 fof(mem_c_2Ebool_2E_7E, axiom, mem(c_2Ebool_2E_7E,arr(bool,bool)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Ebool_2E_7E)). 1.79/1.85 fof(bool_ne, axiom, ne(bool), file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax', bool_ne)). 1.79/1.85 fof(ap_tp, axiom, ![X1, X2, X3]:(mem(X3,arr(X1,X2))=>![X5]:(mem(X5,X1)=>mem(ap(X3,X5),X2))), file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax', ap_tp)). 1.79/1.85 fof(conj_thm_2Eextreal_2Ele__total, axiom, ![X10]:(![X11]:((p(ap(ap(c_2Eextreal_2Eextreal__le,X10),X11))|p(ap(ap(c_2Eextreal_2Eextreal__le,X11),X10)))<=mem(X11,ty_2Eextreal_2Eextreal))<=mem(X10,ty_2Eextreal_2Eextreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_thm_2Eextreal_2Ele__total)). 1.79/1.85 fof(conj_thm_2Eextreal_2Emax__le, conjecture, ![X18]:(![X19]:(mem(X19,ty_2Eextreal_2Eextreal)=>![X20]:(mem(X20,ty_2Eextreal_2Eextreal)=>(p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X19),X20)),X18))<=>(p(ap(ap(c_2Eextreal_2Eextreal__le,X20),X18))&p(ap(ap(c_2Eextreal_2Eextreal__le,X19),X18))))))<=mem(X18,ty_2Eextreal_2Eextreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_thm_2Eextreal_2Emax__le)). 1.79/1.85 fof(mem_c_2Eextreal_2Eextreal__le, axiom, mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Eextreal_2Eextreal__le)). 1.79/1.85 fof(ax_neg_p, axiom, ![X7]:(mem(X7,bool)=>(~(p(X7))<=>p(ap(c_2Ebool_2E_7E,X7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_neg_p)). 1.79/1.85 fof(mem_c_2Ebool_2E_21, axiom, ![X14]:(ne(X14)=>mem(c_2Ebool_2E_21(X14),arr(arr(X14,bool),bool))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Ebool_2E_21)). 1.79/1.85 fof(mem_c_2Ebool_2ET, axiom, mem(c_2Ebool_2ET,bool), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Ebool_2ET)). 1.79/1.85 fof(ax_true_p, axiom, p(c_2Ebool_2ET), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_true_p)). 1.79/1.85 fof(ax_thm_2Eextreal_2Eextreal__max__def, axiom, ![X10]:(![X11]:(ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X10),X11)),X11),X10)=ap(ap(c_2Eextreal_2Eextreal__max,X10),X11)<=mem(X11,ty_2Eextreal_2Eextreal))<=mem(X10,ty_2Eextreal_2Eextreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax_thm_2Eextreal_2Eextreal__max__def)). 1.79/1.85 fof(conj_thm_2Ebool_2ECOND__CLAUSES, axiom, ![X14]:(![X21]:(![X22]:((X22=ap(ap(ap(c_2Ebool_2ECOND(X14),c_2Ebool_2EF),X21),X22)&ap(ap(ap(c_2Ebool_2ECOND(X14),c_2Ebool_2ET),X21),X22)=X21)<=mem(X22,X14))<=mem(X21,X14))<=ne(X14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_thm_2Ebool_2ECOND__CLAUSES)). 1.79/1.85 fof(conj_thm_2Eextreal_2Ele__trans, axiom, ![X10]:(mem(X10,ty_2Eextreal_2Eextreal)=>![X11]:(mem(X11,ty_2Eextreal_2Eextreal)=>![X12]:(mem(X12,ty_2Eextreal_2Eextreal)=>(p(ap(ap(c_2Eextreal_2Eextreal__le,X10),X12))<=(p(ap(ap(c_2Eextreal_2Eextreal__le,X10),X11))&p(ap(ap(c_2Eextreal_2Eextreal__le,X11),X12))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_thm_2Eextreal_2Ele__trans)). 1.79/1.85 fof(ne_ty_2Eextreal_2Eextreal, axiom, ne(ty_2Eextreal_2Eextreal), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ne_ty_2Eextreal_2Eextreal)). 1.79/1.85 fof(mem_c_2Eextreal_2Eextreal__max, axiom, mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mem_c_2Eextreal_2Eextreal__max)). 1.79/1.85 fof(c_0_19, plain, ![X7]:(mem(X7,bool)=>![X8]:(mem(X8,bool)=>((p(X7)<=>p(X8))=>X8=X7))), inference(fof_simplification,[status(thm)],[boolext])). 1.79/1.85 fof(c_0_20, plain, ![X128, X129]:((~p(X128)|~p(X129)|X129=X128|~mem(X129,bool)|~mem(X128,bool))&(p(X128)|p(X129)|X129=X128|~mem(X129,bool)|~mem(X128,bool))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])). 1.79/1.85 fof(c_0_21, plain, ~p(c_2Ebool_2EF), inference(fof_simplification,[status(thm)],[ax_false_p])). 1.79/1.85 fof(c_0_22, plain, ![X175, X176, X177]:((~p(ap(c_2Ebool_2E_21(X175),X176))|(~mem(X177,X175)|p(ap(X176,X177)))|~mem(X176,arr(X175,bool))|~ne(X175))&((mem(esk5_2(X175,X176),X175)|p(ap(c_2Ebool_2E_21(X175),X176))|~mem(X176,arr(X175,bool))|~ne(X175))&(~p(ap(X176,esk5_2(X175,X176)))|p(ap(c_2Ebool_2E_21(X175),X176))|~mem(X176,arr(X175,bool))|~ne(X175)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_all_p])])])])])). 1.79/1.85 cnf(c_0_23, plain, (p(X1)|p(X2)|X2=X1|~mem(X2,bool)|~mem(X1,bool)), inference(split_conjunct,[status(thm)],[c_0_20])). 1.79/1.85 cnf(c_0_24, plain, (mem(c_2Ebool_2EF,bool)), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF])). 1.79/1.85 cnf(c_0_25, plain, (~p(c_2Ebool_2EF)), inference(split_conjunct,[status(thm)],[c_0_21])). 1.79/1.85 cnf(c_0_26, plain, (mem(esk5_2(X1,X2),X1)|p(ap(c_2Ebool_2E_21(X1),X2))|~mem(X2,arr(X1,bool))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_22])). 1.79/1.85 cnf(c_0_27, plain, (mem(c_2Ebool_2E_7E,arr(bool,bool))), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2E_7E])). 1.79/1.85 cnf(c_0_28, plain, (ne(bool)), inference(split_conjunct,[status(thm)],[bool_ne])). 1.79/1.85 fof(c_0_29, plain, ![X117, X118, X119, X120]:(~mem(X119,arr(X117,X118))|(~mem(X120,X117)|mem(ap(X119,X120),X118))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])). 1.79/1.85 cnf(c_0_30, plain, (X1=c_2Ebool_2EF|p(X1)|~mem(X1,bool)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])). 1.79/1.85 cnf(c_0_31, plain, (p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|mem(esk5_2(bool,c_2Ebool_2E_7E),bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])])). 1.79/1.85 fof(c_0_32, plain, ![X10]:(mem(X10,ty_2Eextreal_2Eextreal)=>![X11]:(mem(X11,ty_2Eextreal_2Eextreal)=>(p(ap(ap(c_2Eextreal_2Eextreal__le,X10),X11))|p(ap(ap(c_2Eextreal_2Eextreal__le,X11),X10))))), inference(fof_simplification,[status(thm)],[conj_thm_2Eextreal_2Ele__total])). 1.79/1.85 fof(c_0_33, negated_conjecture, ~(![X18]:(mem(X18,ty_2Eextreal_2Eextreal)=>![X19]:(mem(X19,ty_2Eextreal_2Eextreal)=>![X20]:(mem(X20,ty_2Eextreal_2Eextreal)=>(p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,X19),X20)),X18))<=>(p(ap(ap(c_2Eextreal_2Eextreal__le,X20),X18))&p(ap(ap(c_2Eextreal_2Eextreal__le,X19),X18)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_thm_2Eextreal_2Emax__le])])). 1.79/1.85 cnf(c_0_34, plain, (mem(ap(X1,X4),X3)|~mem(X1,arr(X2,X3))|~mem(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_29])). 1.79/1.85 cnf(c_0_35, 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_22])). 1.79/1.85 cnf(c_0_36, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|p(esk5_2(bool,c_2Ebool_2E_7E))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 1.79/1.85 cnf(c_0_37, plain, (mem(c_2Eextreal_2Eextreal__le,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,bool)))), inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__le])). 1.79/1.85 fof(c_0_38, plain, ![X189, X190]:(~mem(X189,ty_2Eextreal_2Eextreal)|(~mem(X190,ty_2Eextreal_2Eextreal)|(p(ap(ap(c_2Eextreal_2Eextreal__le,X189),X190))|p(ap(ap(c_2Eextreal_2Eextreal__le,X190),X189))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])). 1.79/1.85 fof(c_0_39, negated_conjecture, (mem(esk2_0,ty_2Eextreal_2Eextreal)&(mem(esk3_0,ty_2Eextreal_2Eextreal)&(mem(esk4_0,ty_2Eextreal_2Eextreal)&((~p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0))|(~p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))))&((p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0)))&(p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0)))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])). 1.79/1.85 fof(c_0_40, plain, ![X7]:(mem(X7,bool)=>(~p(X7)<=>p(ap(c_2Ebool_2E_7E,X7)))), inference(fof_simplification,[status(thm)],[ax_neg_p])). 1.79/1.85 cnf(c_0_41, plain, (mem(ap(c_2Ebool_2E_7E,X1),bool)|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_34, c_0_27])). 1.79/1.85 fof(c_0_42, plain, ![X156]:(~ne(X156)|mem(c_2Ebool_2E_21(X156),arr(arr(X156,bool),bool))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ebool_2E_21])])). 1.79/1.85 cnf(c_0_43, plain, (X2=X1|~p(X1)|~p(X2)|~mem(X2,bool)|~mem(X1,bool)), inference(split_conjunct,[status(thm)],[c_0_20])). 1.79/1.85 cnf(c_0_44, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|p(esk5_2(bool,c_2Ebool_2E_7E))|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_35, c_0_36]), c_0_28]), c_0_27])])). 1.79/1.85 cnf(c_0_45, plain, (mem(c_2Ebool_2ET,bool)), inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET])). 1.79/1.85 cnf(c_0_46, plain, (mem(ap(c_2Eextreal_2Eextreal__le,X1),arr(ty_2Eextreal_2Eextreal,bool))|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_34, c_0_37])). 1.79/1.85 cnf(c_0_47, plain, (p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))|p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X1))|~mem(X1,ty_2Eextreal_2Eextreal)|~mem(X2,ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_38])). 1.79/1.85 cnf(c_0_48, negated_conjecture, (mem(esk3_0,ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_39])). 1.79/1.85 cnf(c_0_49, plain, (p(c_2Ebool_2ET)), inference(split_conjunct,[status(thm)],[ax_true_p])). 1.79/1.85 fof(c_0_50, plain, ![X158]:((p(X158)|p(ap(c_2Ebool_2E_7E,X158))|~mem(X158,bool))&(~p(ap(c_2Ebool_2E_7E,X158))|~p(X158)|~mem(X158,bool))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])). 1.79/1.85 cnf(c_0_51, plain, (ap(c_2Ebool_2E_7E,X1)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_7E,X1))|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_30, c_0_41])). 1.79/1.85 cnf(c_0_52, plain, (mem(c_2Ebool_2E_21(X1),arr(arr(X1,bool),bool))|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_42])). 1.79/1.85 cnf(c_0_53, plain, (X1=esk5_2(bool,c_2Ebool_2E_7E)|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|~p(esk5_2(bool,c_2Ebool_2E_7E))|~p(X1)|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_43, c_0_31])). 1.79/1.85 cnf(c_0_54, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))|p(esk5_2(bool,c_2Ebool_2E_7E))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 1.79/1.85 cnf(c_0_55, plain, (mem(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2),bool)|~mem(X2,ty_2Eextreal_2Eextreal)|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_34, c_0_46])). 1.79/1.85 cnf(c_0_56, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),X1))|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk3_0))|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 1.79/1.85 cnf(c_0_57, plain, (X1=c_2Ebool_2ET|~p(X1)|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_45]), c_0_49])])). 1.79/1.85 cnf(c_0_58, plain, (~p(ap(c_2Ebool_2E_7E,X1))|~p(X1)|~mem(X1,bool)), inference(split_conjunct,[status(thm)],[c_0_50])). 1.79/1.85 cnf(c_0_59, plain, (ap(c_2Ebool_2E_7E,c_2Ebool_2ET)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))), inference(spm,[status(thm)],[c_0_51, c_0_45])). 1.79/1.85 cnf(c_0_60, plain, (mem(ap(c_2Ebool_2E_21(X1),X2),bool)|~ne(X1)|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_34, c_0_52])). 1.79/1.85 cnf(c_0_61, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|X1=esk5_2(bool,c_2Ebool_2E_7E)|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))|~p(X1)|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_53, c_0_54])). 1.79/1.85 cnf(c_0_62, plain, (X1=ap(ap(c_2Eextreal_2Eextreal__le,X2),X3)|~p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X3))|~p(X1)|~mem(X1,bool)|~mem(X3,ty_2Eextreal_2Eextreal)|~mem(X2,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_43, c_0_55])). 1.79/1.85 cnf(c_0_63, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_56]), c_0_48])])). 1.79/1.85 cnf(c_0_64, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2ET|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|~p(esk5_2(bool,c_2Ebool_2E_7E))), inference(spm,[status(thm)],[c_0_57, c_0_31])). 1.79/1.85 cnf(c_0_65, plain, (ap(c_2Ebool_2E_7E,c_2Ebool_2ET)=c_2Ebool_2EF), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_49]), c_0_45])])). 1.79/1.85 cnf(c_0_66, plain, (ap(c_2Ebool_2E_21(X1),X2)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_21(X1),X2))|~ne(X1)|~mem(X2,arr(X1,bool))), inference(spm,[status(thm)],[c_0_30, c_0_60])). 1.79/1.85 cnf(c_0_67, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))|X1!=c_2Ebool_2EF|~p(X1)|~mem(X1,bool)), inference(ef,[status(thm)],[c_0_61])). 1.79/1.85 cnf(c_0_68, negated_conjecture, (X1=ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)|~p(X1)|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_48])])). 1.79/1.85 cnf(c_0_69, plain, (ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)=c_2Ebool_2EF|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))|~mem(X2,ty_2Eextreal_2Eextreal)|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_30, c_0_55])). 1.79/1.85 cnf(c_0_70, negated_conjecture, (mem(esk4_0,ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_39])). 1.79/1.85 cnf(c_0_71, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2ET|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))), inference(spm,[status(thm)],[c_0_64, c_0_54])). 1.79/1.85 cnf(c_0_72, plain, (~p(ap(c_2Ebool_2E_21(X1),c_2Ebool_2E_7E))|~ne(X1)|~mem(c_2Ebool_2E_7E,arr(X1,bool))|~mem(c_2Ebool_2ET,X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_65]), c_0_25])). 1.79/1.85 cnf(c_0_73, plain, (ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)=c_2Ebool_2EF|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_66, c_0_27]), c_0_28])])). 1.79/1.85 cnf(c_0_74, plain, (p(X1)|p(ap(c_2Ebool_2E_7E,X1))|~mem(X1,bool)), inference(split_conjunct,[status(thm)],[c_0_50])). 1.79/1.85 cnf(c_0_75, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|p(ap(c_2Ebool_2E_7E,c_2Ebool_2ET))|c_2Ebool_2EF!=c_2Ebool_2ET), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_45]), c_0_49])])). 1.79/1.85 fof(c_0_76, plain, ![X10]:(mem(X10,ty_2Eextreal_2Eextreal)=>![X11]:(mem(X11,ty_2Eextreal_2Eextreal)=>ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X10),X11)),X11),X10)=ap(ap(c_2Eextreal_2Eextreal__max,X10),X11))), inference(fof_simplification,[status(thm)],[ax_thm_2Eextreal_2Eextreal__max__def])). 1.79/1.85 cnf(c_0_77, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)=ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))|~mem(X2,ty_2Eextreal_2Eextreal)|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_68, c_0_55])). 1.79/1.85 cnf(c_0_78, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk3_0)=c_2Ebool_2ET), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_45]), c_0_49])])). 1.79/1.85 cnf(c_0_79, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,X1),esk4_0)=c_2Ebool_2EF|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk4_0))|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_69, c_0_70])). 1.79/1.85 cnf(c_0_80, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2ET|esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_65]), c_0_25])). 1.79/1.85 cnf(c_0_81, plain, (ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)=c_2Ebool_2EF), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_28]), c_0_27]), c_0_45])])). 1.79/1.85 cnf(c_0_82, plain, (ap(c_2Ebool_2E_7E,X1)=c_2Ebool_2ET|~p(ap(c_2Ebool_2E_7E,X1))|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_57, c_0_41])). 1.79/1.85 cnf(c_0_83, plain, (p(ap(c_2Ebool_2E_7E,c_2Ebool_2EF))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_24]), c_0_25])). 1.79/1.85 cnf(c_0_84, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|c_2Ebool_2EF!=c_2Ebool_2ET), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_65]), c_0_25])). 1.79/1.85 cnf(c_0_85, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),X1))|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk4_0))|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_47, c_0_70])). 1.79/1.85 cnf(c_0_86, negated_conjecture, (mem(esk2_0,ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_39])). 1.79/1.85 fof(c_0_87, plain, ![X14]:(ne(X14)=>![X21]:(mem(X21,X14)=>![X22]:(mem(X22,X14)=>(X22=ap(ap(ap(c_2Ebool_2ECOND(X14),c_2Ebool_2EF),X21),X22)&ap(ap(ap(c_2Ebool_2ECOND(X14),c_2Ebool_2ET),X21),X22)=X21)))), inference(fof_simplification,[status(thm)],[conj_thm_2Ebool_2ECOND__CLAUSES])). 1.79/1.85 fof(c_0_88, plain, ![X165, X166]:(~mem(X165,ty_2Eextreal_2Eextreal)|(~mem(X166,ty_2Eextreal_2Eextreal)|ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X165),X166)),X166),X165)=ap(ap(c_2Eextreal_2Eextreal__max,X165),X166))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])])). 1.79/1.85 cnf(c_0_89, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)=c_2Ebool_2ET|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))|~mem(X2,ty_2Eextreal_2Eextreal)|~mem(X1,ty_2Eextreal_2Eextreal)), inference(rw,[status(thm)],[c_0_77, c_0_78])). 1.79/1.85 cnf(c_0_90, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2EF|p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0))), inference(spm,[status(thm)],[c_0_79, c_0_48])). 1.79/1.85 cnf(c_0_91, plain, (p(ap(c_2Ebool_2E_21(X2),X1))|~p(ap(X1,esk5_2(X2,X1)))|~mem(X1,arr(X2,bool))|~ne(X2)), inference(split_conjunct,[status(thm)],[c_0_22])). 1.79/1.85 cnf(c_0_92, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2ET), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81]), c_0_25])). 1.79/1.85 cnf(c_0_93, plain, (ap(c_2Ebool_2E_7E,c_2Ebool_2EF)=c_2Ebool_2ET), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_24])])). 1.79/1.85 cnf(c_0_94, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|c_2Ebool_2EF!=c_2Ebool_2ET), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_81]), c_0_25])). 1.79/1.85 cnf(c_0_95, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))), inference(spm,[status(thm)],[c_0_85, c_0_86])). 1.79/1.85 fof(c_0_96, plain, ![X10]:(mem(X10,ty_2Eextreal_2Eextreal)=>![X11]:(mem(X11,ty_2Eextreal_2Eextreal)=>![X12]:(mem(X12,ty_2Eextreal_2Eextreal)=>((p(ap(ap(c_2Eextreal_2Eextreal__le,X10),X11))&p(ap(ap(c_2Eextreal_2Eextreal__le,X11),X12)))=>p(ap(ap(c_2Eextreal_2Eextreal__le,X10),X12)))))), inference(fof_simplification,[status(thm)],[conj_thm_2Eextreal_2Ele__trans])). 1.79/1.85 fof(c_0_97, plain, ![X152, X153, X154]:((X154=ap(ap(ap(c_2Ebool_2ECOND(X152),c_2Ebool_2EF),X153),X154)|~mem(X154,X152)|~mem(X153,X152)|~ne(X152))&(ap(ap(ap(c_2Ebool_2ECOND(X152),c_2Ebool_2ET),X153),X154)=X153|~mem(X154,X152)|~mem(X153,X152)|~ne(X152))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])])). 1.79/1.85 cnf(c_0_98, plain, (ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)),X2),X1)=ap(ap(c_2Eextreal_2Eextreal__max,X1),X2)|~mem(X1,ty_2Eextreal_2Eextreal)|~mem(X2,ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[c_0_88])). 1.79/1.85 cnf(c_0_99, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2EF|ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2ET), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_70]), c_0_48])])). 1.79/1.85 cnf(c_0_100, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2EF|p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))|X1!=c_2Ebool_2EF|~p(X1)|~mem(X1,bool)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_65]), c_0_25])). 1.79/1.85 cnf(c_0_101, plain, (esk5_2(bool,c_2Ebool_2E_7E)=c_2Ebool_2ET), 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_91, c_0_92]), c_0_81]), c_0_93]), c_0_49]), c_0_28]), c_0_27])]), c_0_25])). 1.79/1.85 cnf(c_0_102, plain, (c_2Ebool_2EF!=c_2Ebool_2ET), 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_91, c_0_94]), c_0_81]), c_0_93]), c_0_49]), c_0_28]), c_0_27])]), c_0_25])). 1.79/1.85 cnf(c_0_103, negated_conjecture, (X1=ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0)|p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0))|~p(X1)|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_95]), c_0_86]), c_0_70])])). 1.79/1.85 fof(c_0_104, plain, ![X133, X134, X135]:(~mem(X133,ty_2Eextreal_2Eextreal)|(~mem(X134,ty_2Eextreal_2Eextreal)|(~mem(X135,ty_2Eextreal_2Eextreal)|(~p(ap(ap(c_2Eextreal_2Eextreal__le,X133),X134))|~p(ap(ap(c_2Eextreal_2Eextreal__le,X134),X135))|p(ap(ap(c_2Eextreal_2Eextreal__le,X133),X135)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])])). 1.79/1.85 cnf(c_0_105, plain, (X1=ap(ap(ap(c_2Ebool_2ECOND(X2),c_2Ebool_2EF),X3),X1)|~mem(X1,X2)|~mem(X3,X2)|~ne(X2)), inference(split_conjunct,[status(thm)],[c_0_97])). 1.79/1.85 cnf(c_0_106, negated_conjecture, (ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2EF),esk4_0),esk3_0)=ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)|ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2ET), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_70]), c_0_48])])). 1.79/1.85 cnf(c_0_107, plain, (ne(ty_2Eextreal_2Eextreal)), inference(split_conjunct,[status(thm)],[ne_ty_2Eextreal_2Eextreal])). 1.79/1.85 cnf(c_0_108, plain, (X1!=c_2Ebool_2EF|~p(X1)|~mem(X1,bool)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_100, c_0_81]), c_0_25]), c_0_101]), c_0_102])). 1.79/1.86 cnf(c_0_109, negated_conjecture, (ap(c_2Ebool_2E_7E,X1)=ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0)|p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0))|~p(ap(c_2Ebool_2E_7E,X1))|~mem(X1,bool)), inference(spm,[status(thm)],[c_0_103, c_0_41])). 1.79/1.86 cnf(c_0_110, plain, (p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X3))|~mem(X1,ty_2Eextreal_2Eextreal)|~mem(X2,ty_2Eextreal_2Eextreal)|~mem(X3,ty_2Eextreal_2Eextreal)|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))|~p(ap(ap(c_2Eextreal_2Eextreal__le,X2),X3))), inference(split_conjunct,[status(thm)],[c_0_104])). 1.79/1.86 cnf(c_0_111, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0)=c_2Ebool_2EF|p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0))), inference(spm,[status(thm)],[c_0_79, c_0_86])). 1.79/1.86 cnf(c_0_112, negated_conjecture, (~p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))), inference(split_conjunct,[status(thm)],[c_0_39])). 1.79/1.86 cnf(c_0_113, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2ET|ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_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_105, c_0_106]), c_0_107]), c_0_70]), c_0_48])])). 1.79/1.86 cnf(c_0_114, plain, (ap(ap(c_2Eextreal_2Eextreal__le,X1),X2)!=c_2Ebool_2EF|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),X2))|~mem(X2,ty_2Eextreal_2Eextreal)|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_108, c_0_55])). 1.79/1.86 cnf(c_0_115, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0)=c_2Ebool_2ET|p(ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_93]), c_0_49]), c_0_24])])). 1.79/1.86 cnf(c_0_116, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0)=c_2Ebool_2EF|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk4_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))|~mem(X1,ty_2Eextreal_2Eextreal)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_70]), c_0_86])])). 1.79/1.86 cnf(c_0_117, plain, (mem(c_2Eextreal_2Eextreal__max,arr(ty_2Eextreal_2Eextreal,arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal)))), inference(split_conjunct,[status(thm)],[mem_c_2Eextreal_2Eextreal__max])). 1.79/1.86 cnf(c_0_118, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2ET|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))), inference(spm,[status(thm)],[c_0_112, c_0_113])). 1.79/1.86 cnf(c_0_119, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0)=c_2Ebool_2ET|ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0)!=c_2Ebool_2EF), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_115]), c_0_70]), c_0_86])])). 1.79/1.86 cnf(c_0_120, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2ET|ap(ap(c_2Eextreal_2Eextreal__le,esk2_0),esk4_0)=c_2Ebool_2EF|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_99]), c_0_48])]), c_0_25])). 1.79/1.86 cnf(c_0_121, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0))), inference(split_conjunct,[status(thm)],[c_0_39])). 1.79/1.86 cnf(c_0_122, plain, (mem(ap(c_2Eextreal_2Eextreal__max,X1),arr(ty_2Eextreal_2Eextreal,ty_2Eextreal_2Eextreal))|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_34, c_0_117])). 1.79/1.86 cnf(c_0_123, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)),esk2_0))), inference(split_conjunct,[status(thm)],[c_0_39])). 1.79/1.86 cnf(c_0_124, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2ET|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119]), c_0_49])]), c_0_120])). 1.79/1.86 cnf(c_0_125, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)))|~mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0),ty_2Eextreal_2Eextreal)|~mem(X1,ty_2Eextreal_2Eextreal)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_121]), c_0_86])])). 1.79/1.86 cnf(c_0_126, plain, (mem(ap(ap(c_2Eextreal_2Eextreal__max,X1),X2),ty_2Eextreal_2Eextreal)|~mem(X2,ty_2Eextreal_2Eextreal)|~mem(X1,ty_2Eextreal_2Eextreal)), inference(spm,[status(thm)],[c_0_34, c_0_122])). 1.79/1.86 cnf(c_0_127, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk4_0)=c_2Ebool_2ET), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_113]), c_0_124])). 1.79/1.86 cnf(c_0_128, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_85]), c_0_70])])). 1.79/1.86 cnf(c_0_129, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)))|~mem(X1,ty_2Eextreal_2Eextreal)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_126]), c_0_70]), c_0_48])])). 1.79/1.86 cnf(c_0_130, plain, (ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3)=X2|~mem(X3,X1)|~mem(X2,X1)|~ne(X1)), inference(split_conjunct,[status(thm)],[c_0_97])). 1.79/1.86 cnf(c_0_131, negated_conjecture, (ap(ap(ap(c_2Ebool_2ECOND(ty_2Eextreal_2Eextreal),c_2Ebool_2ET),esk4_0),esk3_0)=ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_127]), c_0_70]), c_0_48])])). 1.79/1.86 cnf(c_0_132, negated_conjecture, (X1=ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk4_0)|~p(X1)|~mem(X1,bool)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_128]), c_0_70])])). 1.79/1.86 cnf(c_0_133, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)))|~mem(ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0),ty_2Eextreal_2Eextreal)|~mem(X1,ty_2Eextreal_2Eextreal)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_123]), c_0_86])])). 1.79/1.86 cnf(c_0_134, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_129]), c_0_70])])). 1.79/1.86 cnf(c_0_135, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)=esk4_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_131]), c_0_107]), c_0_48]), c_0_70])])). 1.79/1.86 cnf(c_0_136, negated_conjecture, (ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk4_0)=c_2Ebool_2ET), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_45]), c_0_49])])). 1.79/1.86 cnf(c_0_137, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))|p(ap(ap(c_2Eextreal_2Eextreal__le,X1),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,X1),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)))|~mem(X1,ty_2Eextreal_2Eextreal)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_126]), c_0_70]), c_0_48])])). 1.79/1.86 cnf(c_0_138, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk4_0),esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_134, c_0_135]), c_0_136]), c_0_49])])). 1.79/1.86 cnf(c_0_139, negated_conjecture, (p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))|~p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),ap(ap(c_2Eextreal_2Eextreal__max,esk3_0),esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_137]), c_0_48])])). 1.79/1.86 cnf(c_0_140, negated_conjecture, (~p(ap(ap(c_2Eextreal_2Eextreal__le,esk3_0),esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112, c_0_135])]), c_0_138])])). 1.79/1.86 cnf(c_0_141, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139, c_0_135]), c_0_127]), c_0_49])]), c_0_140]), ['proof']). 1.79/1.86 % SZS output end Proof 1.79/1.86 % Total time : 1.140000 s 1.79/1.86 EOF